Answer:
13.89 ft/s
Step-by-step explanation:
We know that the cheetah is the fastest land animal on Earth, but what if it were not allowed to run? Biologists model maximum walking speed by the equation = √, where g is the acceleration due to gravity (9.8 m/s2 or 32 ft/s2) and L is the length of the leg (in metric or standard units). In the situations below, use this information to answer the questions.
(Hint: It will be useful to know 1 m = 3.23 ft for conversions)
1. Find the maximum walking speed of a giraffe with legs 6.03 feet long.
Solution:
Speed is the ratio of the total distance travelled to the time taken to reach this distance. Speed is given by the formula:
Speed = distance / time
Given that the maximum walking speed (s) is given by the equation:
= √, where g is the acceleration due to gravity (9.8 m/s² or 32 ft/s²) and L is the length of the leg (in metric or standard units).
The giraffe has a length of leg (L) of 6.03 feet, hence:
s = √(32 ft/s² * 6.03 ft)
s = √192.96
s = 13.89 ft/s
The absolute value function, f(x) = |x + 2| , is shown.
If the graph is reflected over the x-axis, what is the
domain of the function?
All real numbers
All real numbers greater than or equal to 0
All real numbers greater than or equal to -2
all real number is less than or equal to -2
Answer:
All real numbers
Step-by-step explanation:
Domain corresponds to values of x on the x-axis here in the graph we see that the graph of f(x) = |x + 2| exists on every value of x either positive or negative like a point as (1 , 3) , (-3 , 1) , (-2 , 0) so its domain is actually
-∞ < x < ∞
meaning that the graph exists from negative infinity to positive infinity on the x-axis which means All real numbers.
Answer:
A
Step-by-step explanation:
y r all the questions so hard...........
r u guys like college students or something........
Answer:
Maybe.......... No lol. Some people just word it weird. When you change up the wording of the questions it helps sometimes.
Step-by-step explanation:
Answer:
What's your question you have having a problem?
the price of a book rises from £16 to £20 work out the percentage increase
Answer:
25%
Step-by-step explanation:
20-16=4
So
16…4
1 … 4/16
100…4/16×100
1/4×100
25%
Three friends order a pizza for $14, a two-liter bottle of soda for $2.75, and a bag of chips for $2.15 They want to evenly split the total cost. Determine how much each person owes.
Answer:
$6.3
Step-by-step explanation:
Given that:
There are 3 friends who have ordered some eatables.
Price of one pizza = $14
Price of two-liter soda bottle = $2.75
Price of a bag of chips = $2.15
The price of all the items is split evenly.
To find:
How much each person owes i.e. the amount of money each person will have to pay?
Solution:
First of all, let us find the total amount to be paid for all the three items.
Total amount to be paid = $14 + $2.75 + $2.15 = $18.9
Now, this total amount is evenly split i.e. equally divided in three parts.
Let us divide the total amount by 3.
Therefore, share of each friend = [tex]\frac{\$18.9}{3} = \bold{\$6.3}[/tex]
An observational study of suburban towns reveals that towns with more dedicated park land tend to have higher median home prices. A real estate agent suggests that a town’s crime rate is a more accurate predictor of median home price.
What is the confounding variable in this study?
the median home price
the crime rate
the distance from a large city
the median home size
Answer:
the median home size.
Step-by-step explanation:
In this scenario, the confounding variable would be the median home size. This is because this factor is both a cause and effect of the median home prices. A bigger house would obviously be worth more than a smaller house so the house size affects the prices of the homes in the market. At the same time, the median home sizes can also cause an increase or decrease in crime rates as criminals are more likely to target homes that seem as though they have more valuables inside.
Answer:
Crime rate
Step-by-step explanation:
How many hours must you drive if you drive 643 miles at 65 mph on the interstate? Round to the nearest tenth hour
Answer:
9.9 hours, rounded to the nearest tenth hour.
Step-by-step explanation:
To calculate the time of travel, we must first divide the distance by the speed. Why, you ask? Because of this equation:
[tex]Speed\=\ \frac{distance}{time}[/tex]
Therefore, with a little bit of arrangement, we get:
[tex]Time\=\ \frac{distance}{speed}[/tex]
So, let's get on with it.
[tex]Time\=\ \frac{643 \ miles}{65 \ mph}[/tex]
[tex]Time\=\ 9.9 \ hours [/tex]
Finally, we have our answer: 9.9 hours, rounded to the nearest tenth.
Hope this helped!
i need help with this please help
Answer:
The answer would be bottom right corner
Step-by-step explanation:
It is not a linear function
help 6th grade math i will give brainliest
Step-by-step explanation:
plz give brainlyest
4* 53+1/(8-5)^3
4(54)/(8−5)3
4(54/3^3)
4(54/27)
(4)(2)=8 the answer is 8
Answer:
Add 53 + 1
Step-by-step explanation:
Given: tangent A = negative StartRoot 15 EndRoot What is the value of Tangent (A minus StartFraction pi over 4 EndFraction)?
Answer:
( √15 + 8)/7
Step-by-step explanation:
TanA = -√15
.we are to find tan(A-π/4).
In trigonometry
Tan(A-B) = TanA - TanB/1+ tanAtanB
Hence:
tan(A-π/4) = TanA - Tanπ/4/1+ tanAtanπ/4
Substitute tan A value into the formula
tan(A-π/4) = -√15-tanπ/4 / 1+(-√15)(tanπ/4
tan(A-π/4) = -√15-1/1-√15
Rationalize
-√15-1/1-√15 × 1+√15/1+√15
= -√15-√225-1-√15/(1-√225)
= -2√15-15-1/1-15
= -2√15 -16/(-14)
= -2(√15+8)/-14
= √15 + 8/7
Hence the required value is ( √15 + 8)/7
Answer:
Probably D ( -√15-1/1-√15)
Step-by-step explanation:
it was in adidemiokin's answer before they rationalized it. Couldn't find the darn answer anywhere else. I'm on my 3rd attempt on the EDGE precalc Unit test hopefully D is right.
Lucy is a waitress. At the end of the night she must give 12% of her tips to the cleaning crew. How much does she go home with if she made $320 in tips last night?
Answer:
$38.40
Step-by-step explanation:
HELP ME PLEASE ASAP,,,,,,,
Answer:
a) i) The drawing of Zeno's route is attached
ii) The bearing of Zeno's return journey is 241° from point C to point A
b) Yes, Zeno returns to Port A before 5.15pm
Step-by-step explanation:
a) i) Please find attached the drawing of Zeno's route
ii) From the attached diagram of Zeno's route created with Microsoft Whiteboard, we find the bearing of his return journey as 241° from point C to point A
b) The distance from point C to point A = 10·√5 km
The speed with which Zeno sails as he returns = 10 km/h
The time it takes Zeno to return t = Distance/Speed
∴ The time it takes Zeno to return t = 10·√5 km/(10 km/h) = √5 h ≈ 2.2361 hours ≈ 2 hours 14 minutes and 9.845 seconds
The time Zeno arrives at point A from point A ≈ 3.00 pm + 2 hours 14 minutes and 9.845 seconds = 5:14.1641 p.m. ≈ 5:14 pm.
Therefore, Zeno returns to Port A before 5.15pm.
The coach separated the 18 players at basketball practice into 3 different groups. How many players were in each group?
Answer:
6 players
Step-by-step explanation:
its 18 divided by 3 cause they are going into separate groups
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C. 94.2 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Circumference: C = 2πrStep-by-step explanation:
Step 1: Define
r = 15 cm
Step 2: Find C
Substitute [C]: C = 2π(15 cm)Multiply: C = 30π cmMultiply: C = 94.2 cm50 POINTS Ayliah is 7 years more than 1/2 of Deb's age
use x for the variable
Answer:
1443
Step-by-step explanation:
The cost of cloth is directly proportional to the length. A 3.2-metre length of cloth costs $38
Work out the cost of a 2.4-metre length of cloth.
Answer:
[tex]x = \$28.5[/tex]
Step-by-step explanation:
Given
Variation: Direct Proportion
[tex]3.2m = \$38[/tex]
Required
Determine the cost of 2.4m length
Represent the cost of 2.4m length with x
So, we have:
[tex]3.2m = \$38[/tex]
and
[tex]2.4m = x[/tex]
Cross Multiply:
[tex]3.2m * x = \$38 * 2.4m[/tex]
[tex]3.2 * x = \$38 * 2.4[/tex]
Solve for x
[tex]x = \frac{\$38 * 2.4}{3.2}[/tex]
[tex]x = \frac{\$91.2}{3.2}[/tex]
[tex]x = \$28.5[/tex]
Hence, the cost of 2.4m length is $28.5
The area of a rectangle is 8x4. If the length is
2x3, find the width.
A = L x W
W = A/L
W = 32/6
W = 5.333
solve for T: T/4+8>-10 A. T>72 B> T>-72 C. T T<-72
Answer:
[tex]\huge\boxed{B.\ T>-72}[/tex]
Step-by-step explanation:
[tex]\dfrac{T}{4}+8>-10\qquad|\text{subtract 8 from both sides}\\\\\dfrac{T}{4}+8-8>-10-8\\\\\dfrac{T}{4}>-18\qquad|\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup\cdot\dfrac{T}{4\!\!\!\!\diagup}>(4)(-18)\\\\T>-72[/tex]
Raheem made a pattern with red and yellow tiles, with the yellow tiles forming 25% of the whole pattern. What is the ratio of the YELLOW tiles to the RED ones in the pattern?
Answer: 1 : 3
Step-by-step explanation:
The yellow tiles form 25% of the whole pattern.
The red tiles will therefore form 75% of the whole pattern.
Ratio of Yellow tiles to Red tiles is;
25 : 75
Simplest form. Divide each side by 25;
= 1 : 3
i need help asap ill give brainlest
Denominators= 4 and 6.
LCM of 4 and 6= 12
So, The answer is 12
Hope it helps!
Answer:
The least common denominator of 1/4 and 5/6 is 12
Step-by-step explanation:
Multiples of 4: 4, 8, 12, 16, 20, 24...
Multiples of 6: 6, 12, 18, 24, 30, 36...
Use the drawing tool(s) to form the correct answer on the provided graph.
Consider the system of equations.
The first equation in the system is graphed below. Graph the linear equation on the coordinate plane and use the Mark Feature tool to place a point at the solution(s) of the system.
Answer:
(-7, 0) and (0, -7)Step-by-step explanation:
Draw the graph of x = - y - 7.
Convert to the slope-intercept form (y = mx + b):
x = -y - 7 add y to both sides
x + y = -7 subtract x from both sides
y = -x - 7
This is the straight line equation. We only need two points to plot the graph.
Choose any value of x, put to the equation and calculate the value of y.
for x = 0:
y = -0 - 7 = -7 → (0, -7)
for x = -7:
y = -(-7) - 7 = 7 - 7 = 0 → (-7, 0)
Mark points in the coordinate system and draw a line.
The intersection points of the circle and the line are the solution.
Answer:
(-7, 0) and (0, -7)
Step-by-step explanation:
Draw the graph of x = - y - 7.
Convert to the slope-intercept form (y = mx + b):
x = -y - 7 add y to both sides
x + y = -7 subtract x from both sides
y = -x - 7
This is the straight line equation. We only need two points to plot the graph.
Choose any value of x, put to the equation and calculate the value of y.
for x = 0:
y = -0 - 7 = -7 → (0, -7)
for x = -7:
y = -(-7) - 7 = 7 - 7 = 0 → (-7, 0)
Mark points in the coordinate system and draw a line.
The intersection points of the circle and the line are the solution.
In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W
Step-by-step explanation:
71°
give me the brainlist
how do u answer thiss
Answer:
15 times and more. After she pours the 15th container, in the middle of the next one, the work will be done.
Step-by-step explanation:
Length, Area, and Volume Scale Factors
If two similar shapes have a length scale factor of a:b, then the scale factor of their areas (or surface lateral areas) is [tex]a^2:b^2[/tex] and the scale factor of their volumes is [tex]a^3:b^3[/tex].
We are given the scale factor of the surface areas of two similar containers A and B as 4:25.
The length scale factor is
[tex]\sqrt{4}:\sqrt{25}=2:5[/tex]
The volume scale factor is: [tex]5^3:2^3[/tex] = 125:8 = 15.625
Warda needs to fill with oil and pour into container B 15.625 times to get container B full of oil.
Thus, after she pours the 15th container, in the middle of the next one, the work will be done
if 8kg sugar cost rs148. how much sugar can be bought for rs 832.50
Answer:
if 8kg- rs148
what about rs832.50
so you multiply rs832.50*8kg/rs148
answer=45 kg
Edge unit test nonlinear functions
Answer:
A) 0
Step-by-step explanation:
hope this helps, pls mark brainliest :D
What are the coordinates of the endpoints of the segment T'V'? T'(-3, 6) and V'(0, 3) T'(-3, 6) and V'(0, 1) T'(-1, 2) and V'(0, 3) T'(-1, 2) and V'(0, 1)
Answer:
Step-by-step explanation:
The figure required in the question is missing, the figure can be found in attachment.
Transforming points T and V according to the rule (x,y) -> (3/4x, 3/4y), we get:
T(-4, 8) -> (-4*3/4, 8*3/4) -> (-3, 6) which corresponds to T'
V(0, 4) -> (0*3/4, 4*3/4) -> (0, 3) which corresponds to V'
Answer:a
Step-by-step explanation: got it right on edge 2021
PLEASE HURRY 3 minutes left
Answer:
The answer might be 3(21b-11a)/77ab
Step-by-step explanation:
Answer:
Step-by-step explanation:
63b-33a/77ab
The temperature is -4 degrees at 6am and rises 13 degrees by midday. What is the temperature at midday?
It is 9 degrees by midday
Answer:
11 degrees
Step-by-step explanation:
-4 degrees plus 13 degrees equals 11 degrees
Hi, I am doing math at home, and I was confused on this problem. Thank you for helping.
Answer:
simplified the answer ( i think) is [tex]-\frac{3}{56}[/tex]
Step-by-step explanation:
Thank you for being so polite you were when u asked ur question, really hope this helps
An item is regularly priced at $58. It is now priced at a discount of 80% off the regular price
Answer: The discount price is $11.60. The discount is $46.40. (I didn't know which answer you wanted)
Step-by-step explanation: First, you need to find the discount. To do that, all you need to do is multiply 58 by 80/100 (this is still equal to 80%). You should get 46.40 (you might get 46.4 but it's the same thing), Then, subtract 46.40 form 58. You should get 11.60. So your final answer should be $11.60.
Consider all numbers consisting of four different digits all between 1 and 9 . How many of these are odd
Answer:
1680
Step-by-step explanation:
Considering repeatition is not allowed.
We can use permutation to reach to the required answer.
Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.
Therefore, Total numbers = 5×8×7×6 = 1680