The measure of angle C is,
⇒ x = 22°
We have to given that,
In a triangle ABC,
Angle A = 65 degree,
Angle B = 93 degree.
Now, Let us assume that,
Measure of angle C = x
Hence, We get;
⇒ ∠A + ∠B + ∠C = 180°
Substitute all the values,
⇒ 65 + 93 + x = 180
⇒ 158 + x = 180
⇒ x = 180 - 158
⇒ x = 22
Therefore, The measure of angle C is,
⇒ x = 22°
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ1
Complete question is,
In Triangle ABC, Angle A = 65 degree, B=93 degree. Find Angle C?
3. (1) The population of a city was 1,20,000 in the year 2078 and the population growth rate was 4.5% 20,000 people migrated here from other places in the year 2079
(a) Find the population reached in the year 2079.
(b) What will be the total population in the year 2081?
The population reached in the year 2079 is 1,65,400 and the total population in the year 2081 would be 1,80,623.
To find the population reached in the year 2079, we need to consider the initial population and the growth rate, as well as the number of people who migrated.
The initial population in 2078 was 1,20,000. The population growth rate is 4.5%, which means the population will increase by 4.5% each year.
To calculate the population in 2079, we first need to calculate the increase in population due to the growth rate:
Population increase due to growth rate = 1,20,000 * (4.5/100) = 5,400
Then we add the number of people who migrated:
Total population in 2079 = Initial population + Population increase due to growth rate + Number of migrants
= 1,20,000 + 5,400 + 20,000
= 1,45,400 + 20,000
= 1,65,400
To calculate the total population in the year 2081, we need to consider the growth rate and the population in 2080.
The population in 2080 would be the population in 2079 plus the population increase due to the growth rate:
Population increase due to growth rate in 2080 = 1,65,400 * (4.5/100) = 7,444
Total population in 2080 = 1,65,400 + 7,444
= 1,72,844
To calculate the total population in 2081, we need to consider the growth rate and the population in 2080:
Population increase due to growth rate in 2081 = 1,72,844 * (4.5/100) = 7,779
Total population in 2081 = Population in 2080 + Population increase due to growth rate in 2081
= 1,72,844 + 7,779
= 1,80,623
To learn more on Growth rate click:
https://brainly.com/question/18485107
#SPJ1
helppp!! someone help me asappp
Answer:
[(5 ± √(29)) ÷ 2]
Step-by-step explanation:
x = [(-b ± √(b² - 4ac)) ÷ 2a]
= [(-(-5) ± √((-5)² - 4(1)(-1))) ÷ 2(1)]
= [(5 ± √(25 + 4)) ÷ 2]
= [(5 ± √(29)) ÷ 2]
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Volume = $\ 10,000\pi\ $ in.3
A cylindrical piece of a log is shown. The diameter of its base is 32 inches and height is h.
$h\ \approx$
in.
The nearest Whole number, the missing dimension (height) of the cylinder is approximately 39 inches.
The missing dimension of the cylinder, we can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Given that the volume is 10,000π in³ and the diameter of the base is 32 inches, we can determine the radius (r) of the cylinder.
The diameter is twice the radius, so the radius is half of the diameter:
r = 32 inches / 2 = 16 inches
Substituting the known values into the volume formula, we have:
10,000π in³ = π * (16 in)^2 * h
Cancelling out the common factor of π, we get:
10,000 = 16^2 * h
Simplifying further:
10,000 = 256 * h
To isolate h, we divide both sides of the equation by 256:
h = 10,000 / 256
Calculating the value of h:
h ≈ 39.06
Rounded to the nearest whole number, the missing dimension (height) of the cylinder is approximately 39 inches.
To know more about Whole number.
https://brainly.com/question/29207899
#SPJ8
Find the value of the permutation.
P(5,0)
P(5,0)= (Simplify your answer.)
www
The value of the permutation P(5,0) is 1.
To find the value of the permutation P(5,0), we can use the formula:
P(n, r) = n! / (n - r)!
In this case, we have n = 5 and r = 0.
Substituting these values into the formula, we get:
P(5,0) = 5! / (5 - 0)!
Since any number factorial is equal to 1, we have:
P(5,0) = 5! / 5!
Simplifying further:
P(5,0) = 1
Therefore, the value of the permutation P(5,0) is 1.
Learn more about Permutation here:
https://brainly.com/question/29990226
#SPJ1
A pencil box has dimensions of 6 1/2 in 3 1/2 in and one one over 2 in respectively approximately how many cubes with the side length of 1/2 inches will be needed to fill the prism
Approximately 273 cubes with a side length of 1/2 inch will be needed to fill the prism.
To determine the number of cubes with a side length of 1/2 inch needed to fill the prism, we need to calculate the volume of the prism and divide it by the volume of a single cube.
The given dimensions of the pencil box are:
Length: 6 1/2 inches
Width: 3 1/2 inches
Height: 1 1/2 inches
To find the volume of the prism, we multiply the length, width, and height:
Volume of the prism = Length [tex]\times[/tex] Width [tex]\times[/tex] Height
[tex]= (6 1/2) \times (3 1/2) \times (1 1/2)[/tex]
First, we convert the mixed numbers to improper fractions:
[tex]6 1/2 = (2 \times 6 + 1) / 2 = 13/2[/tex]
[tex]3 1/2 = (2 \times 3 + 1) / 2 = 7/2[/tex]
[tex]1 1/2 = (2 \times 1 + 1) / 2 = 3/2[/tex]
Now we substitute the values into the formula:
Volume of the prism [tex]= (13/2) \times (7/2) \times (3/2)[/tex]
[tex]= (13 \times 7 \times 3) / (2 \times 2 \times 2)[/tex]
= 273 / 8
≈ 34.125 cubic inches.
Next, we calculate the volume of a single cube with a side length of 1/2 inch:
Volume of a cube = Side length [tex]\times[/tex] Side length [tex]\times[/tex] Side length
[tex]= (1/2) \times (1/2) \times (1/2)[/tex]
= 1/8
To find the number of cubes needed to fill the prism, we divide the volume of the prism by the volume of a single cube:
Number of cubes = Volume of the prism / Volume of a single cube
= (273 / 8) / (1/8)
= 273
For similar question on prism.
https://brainly.com/question/28795033
#SPJ8
Which graph represents the solution set to the system of inequalities?
{ Y ≤ 1/4X-2
Y ≥ −54X+2
ANSWER Down Below
The graph of the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
Is in the image at the end.
Which is the graph of the system of inequalities?Here we have the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.
Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.
Learn more about system of inequalities at.
https://brainly.com/question/9774970
#SPJ1
A hemisphere has a
surface area of 768
square feet. Find
the diameter of the
hemisphere.
The diameter of the hemisphere is 39.1918 feet.
The surface area of a hemisphere is given by the formula:
Surface Area = 2πr²
We have,
surface area of the hemisphere is 768π square feet,
So, 2πr² = 768π
Dividing both sides of the equation by 2π, we get:
r² = 384
To find the diameter, we need to double the radius.
Taking the square root of both sides of the equation, we get:
r = √384
r ≈ 19.5959
Now, Diameter ≈ 2 x 19.5959 ≈ 39.1918
Therefore, the diameter of the hemisphere is 39.1918 feet.
Learn more about Surface Area here:
https://brainly.com/question/31464920
#SPJ1
A five question multiple choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers, and 1’s representing correct answers to answer the following question: What is the experimental probability of correctly guessing at random exactly one correct answer?
The total number of possible outcomes is the number of rows in the table, which depends on the size of the table.
To determine the experimental probability of correctly guessing exactly one correct answer out of five choices, we can utilize the random number table provided, where 0's represent incorrect answers and 1's represent correct answers.
Since we have five choices for each answer, we will focus on a single row of the random number table, considering five consecutive values.
Let's assume we have randomly selected a row from the table, and the numbers in that row are as follows:
0 1 0 1 0
In this case, the second and fourth answers are correct (represented by 1's), while the remaining three choices are incorrect (represented by 0's).
To calculate the experimental probability of exactly one correct answer, we need to determine the number of favorable outcomes (i.e., rows with exactly one 1) and divide it by the total number of possible outcomes (which is equal to the number of rows in the table).
Looking at the table, we can see that there are several possible rows with exactly one 1, such as:
0 1 0 0 0
0 0 0 1 0
0 0 0 0 1
Let's assume there are 'n' favorable outcomes. In this case, 'n' is equal to 3.
The total number of possible outcomes is the number of rows in the table, which depends on the size of the table. Without the specific size of the table, we cannot provide an accurate value.
To calculate the experimental probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Experimental probability = n / Total number of possible outcomes
For more questions on possible outcomes
https://brainly.com/question/27442447
#SPJ8
The equation T^2=A^3 shows the relationship between a planets orbital period, T, and the planets mean distance from the sun, A in astronomical units, AU. If planet y is twice the mean distance from the sun as planet x. by what fsctor is the orbital period increased?
Answer:
2 * A^(3/2).
Step-by-step explanation:
Given that planet y is twice the mean distance from the sun as planet x, we can denote the mean distance of planet x as "A" and the mean distance of planet y as "2A".
The equation T^2 = A^3 represents the relationship between the orbital period (T) and the mean distance from the sun (A) for a planet.
Let's compare the orbital periods of planet x and planet y using the equation:
For planet x:
T_x^2 = A^3
For planet y:
T_y^2 = (2A)^3 = 8A^3
To find the factor by which the orbital period is increased from planet x to planet y, we can take the square root of both sides of the equation for planet y:
T_y = √(8A^3)
Simplifying the square root:
T_y = √(2^3 * A^3)
= √(2^3) * √(A^3)
= 2 * A^(3/2)
Now, we can express the ratio of the orbital periods as:
T_y / T_x = (2 * A^(3/2)) / T_x
As we can see, the orbital period of planet y is increased by a factor of 2 * A^(3/2) compared to the orbital period of planet x.
Therefore, the factor by which the orbital period is increased from planet x to planet y depends on the value of A (the mean distance from the sun of planet x), specifically, it is 2 * A^(3/2).
2)
A high school basketball team won exactly 65 percent
of the games it played during last season. Which of
the following could be the total number of games the
team played last season?
A) 22
B) 20
C) 18
D) 14
Answer:
To find the answer, we can use the formula:
number of won games / total number of games played = percentage won
Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:
number of won games / x = 0.65
To solve for x, we can cross-multiply:
number of won games = 0.65x
We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:
If the team played 22 games, then the number of won games is:
number of won games = 0.65 * 22 = 14.3
This is not a whole number value, so we can rule out choice A.
We can repeat this process for each answer choice. When we try choice C, we get:
number of won games = 0.65 * 18 = 11.7
This is also not a whole number value, so we can rule out choice C.
When we try choice D, we get:
number of won games = 0.65 * 14 = 9.1
This is also not a whole number value, so we can rule out choice D.
Therefore, the only remaining answer choice is B, which gives us:
number of won games = 0.65 * 20 = 13
This is a whole number value, so the team could have played 20 games in total last season.
Please I need solution and steps
Answer:
Refer to the step-by-step, follow along carefully.
Step-by-step explanation:
Verify the given identity.
[tex]\frac{\sin(x)}{1-\cos(x)} -\frac{\sin(x)\cos(x)}{1+\cos(x)} =\csc(x)(1+\cos^2(x))[/tex]
Pick the more complicated side to manipulate, so the L.H.S.
(1) - Combine the fractions with a common denominator
[tex]\frac{\sin(x)}{1-\cos(x)} -\frac{\sin(x)\cos(x)}{1+\cos(x)}\\\\\Longrightarrow \frac{\sin(x)(1+\cos(x))}{(1-\cos(x))(1+\cos(x))} -\frac{\sin(x)\cos(x)(1-\cos(x))}{(1+\cos(x))(1-\cos(x))} \\\\\Longrightarrow \frac{\sin(x)+\sin(x)\cos(x)-\sin(x)\cos(x)+\sin(x)\cos^2(x)}{(1+\cos(x))(1-\cos(x))} \\\\\Longrightarrow \boxed{\frac{\sin(x)+\sin(x)\cos^2(x)}{(1+\cos(x))(1-\cos(x))}} \\\\[/tex]
(2) - Simplify the denominator
[tex]\frac{\sin(x)+\sin(x)\cos^2(x)}{(1+\cos(x))(1-\cos(x))}\\\\\Longrightarrow \frac{\sin(x)+\sin(x)\cos^2(x)}{1-\cos(x)+\cos(x)-\cos^2(x)}\\\\\Longrightarrow \boxed{\frac{\sin(x)+\sin(x)\cos^2(x)}{1-\cos^2(x)}}[/tex]
(3) - Apply the following Pythagorean identity to the denominator
[tex]\boxed{\left\begin{array}{ccc}\text{\underline{Pythagorean Identity:}}\\\\1-\cos^2(\theta)=\sin^2(\theta)\end{array}\right}[/tex]
[tex]\frac{\sin(x)+\sin(x)\cos^2(x)}{1-\cos^2(x)}\\\\\Longrightarrow \boxed{\frac{\sin(x)+\sin(x)\cos^2(x)}{\sin^2(x)}}[/tex]
(4) - Simplify the fraction and split it up
[tex]\frac{\sin(x)+\sin(x)\cos^2(x)}{\sin^2(x)}\\\\\Longrightarrow \frac{1+\cos^2(x)}{\sin(x)}\\\\\Longrightarrow \boxed{\frac{1}{\sin(x)}+\frac{\cos^2(x)}{\sin(x)}}[/tex]
(5) - Apply the following reciprocal identity
[tex]\boxed{\left\begin{array}{ccc}\text{\underline{Reciprocal Identitiy:}}\\\\\csc(\theta)=\frac{1}{\sin(\theta)} \end{array}\right}[/tex]
[tex]\frac{1}{\sin(x)}+\frac{\cos^2(x)}{\sin(x)}\\\\\Longrightarrow \csc(x)+\frac{1}{\sin(x)}\cos^2(x) \\\\\Longrightarrow \csc(x)+\csc(x)\cos^2(x) \\\\\therefore \boxed{\boxed{\csc(x)(1+\cos^2(x))}}[/tex]
Thus, the identity is verified.
Prove of the expression sin x / (1 - cos x) - [sin x cos x ] / (1 + cos x) by using trigonometry formula is shown below.
We have to given that,
Expression to verify is,
⇒ sin x / (1 - cos x) - [sin x cos x ] / (1 + cos x)
Now, We can simplify as,
⇒ sin x / (1 - cos x) - [sin x cos x ] / (1 + cos x)
⇒ sin x [ 1 / (1 - cos x) - cos x / (1 + cos x)]
⇒ sin x [1 + cos x - cos x (1 - cos x )] / (1 - cos²x)
⇒ sin x [1 + cos x - cos x + cos²x] / sin²x
⇒ (1 + cos²x) / sin x
⇒ cosec x (1 + cos²x)
Thus, Prove of the expression sin x / (1 - cos x) - [sin x cos x ] / (1 + cos x) by using trigonometry formula is shown above.
Learn more about trigonometric ratios at:
brainly.com/question/1836193
#SPJ1
There are thirteen boys and fifteen girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher selects a different student to answer another question. What is the probability that the first student is a boy and the second a girl? Explain.
Step-by-step explanation:
To solve this problem, we need to calculate the probability of the first student being a boy and the second student being a girl.
There are a total of 13 boys and 15 girls in the class, making a total of 28 students.
The probability of the first student being a boy is given by:
P(boy) = Number of boys / Total number of students = 13 / 28
After the first student is selected, there are now 27 students remaining (since one student has already been selected). Out of these 27 students, there are still 15 girls remaining.
The probability of the second student being a girl, given that the first student was a boy, is given by:
P(girl|boy) = Number of girls / Remaining number of students = 15 / 27
To find the probability of both events occurring (the first student being a boy and the second student being a girl), we multiply the individual probabilities:
P(boy and girl) = P(boy) * P(girl|boy) = (13/28) * (15/27)
Calculating this expression:
P(boy and girl) ≈ 0.2041
Therefore, the probability that the first student is a boy and the second student is a girl is approximately 0.2041 or 20.41%.
The average fourth grader is about three times as tall as the average newborn baby. If babies are on average 45cm 7mm when they are born, What is the height of the average fourth grader?
The height of the average fourth grader is 135 cm 21 mm
How to determine the height of the average fourth grader?From the question, we have the following parameters that can be used in our computation:
Birth age = 45 cm 7 mm
Average fourth grader = three times as tall
using the above as a guide, we have the following:
Average fourth grader = 3 * Birth age
So, we have
Average fourth grader = 3 * 45 cm 7 mm
Evaluate
Average fourth grader = 135 cm 21 mm
Hence, the height of the average fourth grader is 135 cm 21 mm
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
please answer asap!!!!!!!!
What is 4∑5n=1 equal to? (See picture below)
Did I get it right?
The summation of 5 to power of n (where n starts from 1) is determined as 625.
What is the sum of the number?The sum of the expression given is calculated by using the defined expression as sated in the question to perform the summation.
The given summation expression include;
∑5ⁿ
where;
n is defined to start from 1. (this written as n = 1)So we are going to sum the number 5ⁿ 4 times.
The expression becomes;
5ⁿ x 5ⁿ x 5ⁿ x 5ⁿ = 5⁴ⁿ
where;
n = 1
The summation becomes;
5⁴ⁿ = 5⁴ = 625
Thus, the summation of 5 to power of n (where n starts from 1) is determined as 625.
Learn more about summation here: https://brainly.com/question/24495014
#SPJ1
25. Three students contributed a total of $200 towards a building for the aged. Azar contributed 50% of it, Sunil 25% and the rest was contributed by a girl Becky. How much money did Becky contribute? rice he lost 25% of its weight
Becky contributed $50 towards the building for the aged.
Let's calculate the amounts contributed by each student:
Azar contributed 50% of the total amount:
Amount contributed by Azar = 50% of $200
= (50/100) × $200
= $100
Sunil contributed 25% of the total amount:
Amount contributed by Sunil = 25% of $200
= (25/100) × $200
= $50
Now, we can calculate the amount contributed by Becky:
Total contribution by Azar and Sunil = $100 + $50 = $150
The remaining amount contributed by Becky can be found by subtracting the total contribution by Azar and Sunil from the total amount:
Amount contributed by Becky = Total amount - Total contribution by Azar and Sunil
= $200 - $150
= $50
To learn more on Amount click:
https://brainly.com/question/32202714
#SPJ1
(4x-12) + ( 1/2x y -10) for x=4 and y=6
Answer: (4x-12) + ( 1/2x y -10) = 6
Step-by-step explanation:
First, input 4 for x and 6 for y into the equation so it looks like this:
(4(4)-12) + (1/2(4)(6)-10)
Now solve inside the parentheses starting with the first one. 4 * 4 = 16 so the inside of the first parentheses should look like (16 - 12) which equals 4.
For the second set of parentheses, 1/2 * 4 * 6 = 12, so the inside of that parentheses would look like (12 - 10), which equals 2.
At this point, the equation should look like this: (4) + (2). If you add those two together, your answer should be 6.
After lunch, you and your friends decide to head to a local theme park for some afternoon fun in the sun. You must choose between the three theme parks shown below! Use the table, graphs, and equation to answer the questions that follow.
Based on the data, we can infer that the park with the highest fee is Coaster City.
How to find the value of each park?To find the value of each park we must take into account the different tables that show the value of each park. In this case we must find the unit value of each park as follows:
Park 1:
10 / 2 = $5Park 2:
y = 5(1) + 7.50and = $12.5Park 3:
40 / 10 = $4In accordance with the above, we can infer that the 2 Coaster City park is the one with the highest rate.
Learn more about rates in: https://brainly.com/question/2278897
#SPJ1
WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!
What scale factor was applied to the first rectangle to get the resulting image?
Enter your answer as a decimal in the box.
Answer:
2.5
Step-by-step explanation:
the length has increased by 7.5/3 = 2.5.
so the scale factor is 2.5
HELP!!! what is the answer!!!!
Answer:
Step-by-step explanation:
the of of 50 percent of people is married
The aquarium has 10 more red fish than blue fish. 60 percent of the fish are red. How many blue fish are in the aquarium? Show your work. (10 points)
Answer:
There are 20 blue fish in the aquarium.
Step-by-step explanation:
If 60% of the fish are red than 40% are blue. That means that 20% fish is 10 fish. 20% = 10 fish. 40% = 20 fish.
Describe the transformations of each equation
The required answer are :
6. The transformation from the graph of f to the graph of r in equation (6) involves compressing the graph horizontally by a factor of 5/2.
7. The transformation from the graph of f to the graph of r in equation (7) involves stretching the graph vertically by a factor of 6.
8. The transformation from the graph of f to the graph of r in equation (8) involves shifting the graph horizontally to the right by 3 units.
9. The transformation from the graph of f to the graph of r in equation (9) involves compressing the graph horizontally by a factor of 4/3.
10. The transformation from the graph of f to the graph of r in equation (10) involves shrinking the graph vertically by a factor of 1/2.
11. The transformation from the graph of f to the graph of r in equation (11) involves shifting the graph vertically upward by 3 units.
In formula form: r(x) = f(2/5x)
This transformation causes the graph of r to become narrower compared to the graph of f, as it is compressed horizontally. The rate at which x-values change is increased, resulting in a steeper slope. The overall shape and direction of the graph remain the same, but it is narrower and more compact.
Therefore, the transformation from the graph of f to the graph of r in equation (6) involves compressing the graph horizontally by a factor of 5/2. This means that every x-coordinate in the graph of f is multiplied by 2/5 to obtain the corresponding x-coordinate in the graph of r. The vertical positioning of the graph remains unchanged.
In formula form: r(x) = 6f(x)
This transformation causes the graph of r to become taller compared to the graph of f, as it is stretched vertically. The rate at which y-values change is increased, resulting in a steeper slope. The overall shape and direction of the graph remain the same, but it is taller and more elongated.
Therefore, the transformation from the graph of f to the graph of r in equation (7) involves stretching the graph vertically by a factor of 6. This means that every y-coordinate in the graph of f is multiplied by 6 to obtain the corresponding y-coordinate in the graph of r. The horizontal positioning of the graph remains unchanged.
In formula form: g(x) = f(x - 3)
This transformation causes the entire graph of f to shift to the right by 3 units. Every point on the graph of f moves horizontally to the right, maintaining the same vertical position. The overall shape and slope of the graph remain the same, but it is shifted to the right.
Therefore, the transformation from the graph of f to the graph of r in equation (8) involves shifting the graph horizontally to the right by 3 units. This means that each x-coordinate in the graph of f is increased by 3 to obtain the corresponding x-coordinate in the graph of r. The vertical positioning of the graph remains unchanged.
In formula form: g(x) = f(4/3x)
This transformation causes the graph of r to become narrower compared to the graph of f, as it is compressed horizontally. The rate at which x-values change is increased, resulting in a steeper slope. The overall shape and direction of the graph remain the same, but it is narrower and more compact.
Therefore, the transformation from the graph of f to the graph of r in equation (9) involves compressing the graph horizontally by a factor of 4/3. This means that every x-coordinate in the graph of f is multiplied by 4/3 to obtain the corresponding x-coordinate in the graph of r. The vertical positioning of the graph remains unchanged.
In formula form: g(x) = 1/2 f(x)
This transformation causes the graph of r to become shorter compared to the graph of f, as it is vertically shrunk. The rate at which y-values change is decreased, resulting in a flatter slope. The overall shape and direction of the graph remain the same, but it is shorter and more compact.
The transformation from the graph of f to the graph of r in equation (10) involves shrinking the graph vertically by a factor of 1/2. This means that every y-coordinate in the graph of f is multiplied by 1/2 to obtain the corresponding y-coordinate in the graph of r. The horizontal positioning of the graph remains unchanged.
In formula form: g(x) = f(x) + 3
This transformation causes the entire graph of f to shift upward by 3 units. Every point on the graph of f moves vertically upward, maintaining the same horizontal position. The overall shape and slope of the graph remain the same, but it is shifted upward.
The transformation from the graph of f to the graph of r in equation (11) involves shifting the graph vertically upward by 3 units. This means that every y-coordinate in the graph of f is increased by 3 to obtain the corresponding y-coordinate in the graph of r. The horizontal positioning of the graph remains unchanged.
Learn more about graph transformations click here:
https://brainly.com/question/19040905
#SPJ1
50 Points! Multiple choice geometry question. Photo attached. Thank you!
area of equilateral triangle =
[tex]( \sqrt{3 } \div 4) \times a {}^{2} [/tex]
(C) area = 84.9 in²
The consistency of the diameters of wheel bearings is vital to the operation of the wheel. The specifications require that the variance of these diameters be no more than 0.0015 centimeter squared. The diameter is continually monitored by the quality-control team. Twenty subsamples of size 10 are obtained every day. One of these subsamples produced bearings that had a variance of 0.00317 centimeter squared. Conduct a hypothesis test to determine if the quality control team should advise management to stop production and search for causes of the inconsistency of the bearing diameters. Use a significance level of 0.05.
Please answer the attached question
Answer:
∠ DFG = 48°
Step-by-step explanation:
the central angle is equal to the measure of the arc that subtends it.
since EOG is the diameter of the circle with central angle of 180° , then
arc EG = 180°
the inscribed angle EGD is half the measure of the arc ED that subtends it, so
arc ED = 2 × ∠ EGD = 2 × 42° = 84° , then
ED + DG = EG , that is
84° + DG = 180° ( subtract 84° from both sides )
DG = 96°
Then
∠ DFG = [tex]\frac{1}{2}[/tex] × EG = [tex]\frac{1}{2}[/tex] × 96° = 48°
A sample of 318 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified according major ("biology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table below. Biology Business Engineering Female Male 47 37 20 36 What is the relative frequency of biology majors in the sample? Round your answer to two decimal places. 43 15 Mathematics 29 35 Computer science 20 36
Write the quadratic equation in standard form that corresponds to the graph shown below.
The quadratic equation shown in the graph is:
y = x² + 2x - 8
How to write the quadratic equation?Here we want to find the graph of the given quadratic equation, where we only know the zeros of it.
Remember that if a quadratic equation has the zeros:
x = a
x = b
Then we can write it as:
y = (x - a)*(x - b)
Here the zeros are:
x = -4
x = 2
Then we can write:
y = (x + 4)*(x - 2)
Expanding that we will get the standard form:
y = x² + 4x - 2x - 8
y = x² + 2x - 8
Learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
If you spin the spinner 90 times, what is the best prediction possible for the number of times
it will not land on yellow?
times
Submit
Answer:
Assuming the spinner has 6 equal sectors of different colors, and yellow is only one of those colors, we can say that the probability of the spinner not landing on yellow is 5/6 or approximately 0.8333.
To predict the number of times the spinner will not land on yellow out of 90 spins, we can multiply the probability by the total number of spins:
0.8333 x 90 = 74.997 or approximately 75
Therefore, the best prediction possible for the number of times the spinner will not land on yellow out of 90 spins is 75 times.
What is the meaning of "If dom(f) = [tex]X^{n}[/tex], then f is an n-ary function on X"?
The statement "If dom(f) = Χ, then f is an n-ary functionon X" means that if the domain of the function f is equal to the set X, then f is considered an n-ary function on X.
How is this so?In other words, for each element in X, the function f can take n arguments or inputs to produce aunique output. The term "n-ary" indicates the number of arguments that the function can accept.
A statement in mathematics is a declarative utterance that is either true or untrue but not both. A proposal is anothername for a statement. The main point is that there should be no uncertainty.
Learn more about functions:
https://brainly.com/question/11624077
#SPJ1
Answer:
The statement "If dom(f) = X, then f is an n-ary function on X" means that if the domain of a function f is equal to the set X, then f is a function that takes n arguments or inputs from the set X, where the value of n depends on the specific function.
Step-by-step explanation:
The statement "If dom(f) = X", then f is an n-ary function on X" means that if the domain of the function f is equal to the set X, then f is an n-ary function on X.
Here's a breakdown of the terms used in the statement:
- dom(f): The domain of a function f refers to the set of all possible input values for the function. It represents the set of values for which the function is defined.
- X: In this context, X represents a set. It could be any set, and it serves as the domain for the function f.
- n-ary function: An n-ary function is a function that takes n arguments or inputs. The value of n represents the number of inputs the function expects.
Therefore, the statement is saying that if the domain of the function f is equal to the set X, then f is an n-ary function on X. It implies that the function f takes n inputs from the set X, where n is determined by the specific function.
#SPJ8
for more such questions:
https://brainly.com/question/13458417
Which statement correctly explains the association of the scatter plot? Since the Y values increase as the X values increase the Scatter plot shows a positive association. Sense to Weibo use decrease as the X values increase the scatter plot shows a positive association.
The correct statement regarding the association in the scatter plot is given as follows:
Since the y-values decrease as the x-values increase, the scatter plot shows a negative association.
How to classify the association between variables?There can either be a positive association between variables or a negative association between variables, as follows:
Positive association happens when both variables have the same behavior, that is, as one increases the other increases, and as one decreases the other also decreases.Negative association happens when the variables have opposite behavior, as one variable is increasing the other is decreasing, or as one variable is decreasing, the other is increasing.In this problem, we have a decreasing scatter plot, hence there is a negative association between the variables.
More can be learned about association between variables at brainly.com/question/16355498
#SPJ1