Patrick makes chocolate chip cookies. The recipe calls for 1 3/4 cups of flour. If Patrick triples the recipe, how much flour will he need?

Answer:

Maximum height = 500 feet

Land after = 20 seconds

Step-by-step explanation:

Let us follow the movement of the ball as it is thrown upwards.  We notice that we get to a point, where the change in the height of the ball with respect to time becomes = 0. This means that the ball is at its maximum position.

Hence, mathematically, at maximum height, [tex]dh/dt = 0[/tex]

Recall,

[tex]h = 100t - 5t^2[/tex]

[tex]dh/dt=100-10t[/tex]

From our problem, we can also deduce that at the maximum height, the velocity of the ball is = 0. i.e [tex]dh/dt = 0[/tex]

hence,

[tex]0 = 100-10t\\t =10 seconds[/tex]

The time the ball takes to reach a maximum height is 10 seconds.

The next step will be to substitute this time value into the equation for the height.

[tex]h = 100(10) -5(10)^2=500 feet[/tex]

The maximum height is 500 feet

The object will land after t X 2 seconds = 10 X 2 = 20 seconds. This is because it will have to go up and come back down. This should take twice the time.

Answer:

x² + 4x - 7 = (x + 2)² - 11

Step-by-step explanation:

Let us solve the question

∵ The expression is x² + 4x - 7

∵ The form is (x + a)² - b

→ To express the equation in the given form quate them

∴ x² + 4x - 7 = (x + a)² - b

→ Simplify the right side then equate the like terms to find a and b

∵ (x + a)²  = (x + a)(x + a)

∴ (x + a)² = (x)(x) + (x)(a) + (a)(x) + (a)(a)

∴ (x + a)² = x² + ax + ax + a²

→ Add the like terms

∵ (x + a)² = x² + (ax + ax) + a²

∴ (x + a)² = x² + 2ax + a²

→ Substitute (x + a)² in the right side by x² + 2ax + a²

∵ x² + 4x - 7 = x² + 2ax + a² - b

→ Equate the coefficients of the like terms

∵ 4x and 2ax are like terms

∴ 4 = 2a

→ Divide both sides by 2

∴ 2 = a

∵ -7 and a² - b are like terms ⇒ constant terms

∴ -7 = a² - b

∵ a = 2

∴ -7 = (2)² - b

∴ -7 = 4 - b

→ Subtract 4 from both sides

∵ -7 - 4 = 4 - 4 - b

∴ -11 = -b

→ Divide both sides by -1

∴ 11 = b

→ Substitute the values of a and b in the given form

∴ (x + a)² - b = (x + 2)² - 11

∴ x² + 4x - 7 = (x + 2)² - 11

Explanation:

The probability of rolling a "2" is 1/6

The probability of rolling a "4" is also 1/6

Multiplying those fractions leads to (1/6)*(1/6) = 1/36. We can multiply the probabilities because the events are independent. Each dice roll does not affect any others.

The probability of rolling a 2 the first time and a 4 the second time is 1/36

There are 6 faces on a die.

Of these 6 faces, one of them is 2 and one of them is 4

So, the probabilities of rolling a 2 and a 4 are:

P(2) = 1/6

P(4) = 1/6

The probability of rolling a 2 the first time and a 4 the second time is calculated as follows:

[tex]\mathbf{Pr = P(2) \times P(4)}[/tex]

This gives

[tex]\mathbf{Pr = \frac 16 \times \frac 16}[/tex]

Multiply

[tex]\mathbf{Pr = \frac 1{36}}[/tex]

Hence, the probability of rolling a 2 the first time and a 4 the second time is 1/36

Read more about probabilities at:

https://brainly.com/question/11234923

Answer:

10(5+3)

Step-by-step explanation:

The required expression would be 10(5+3) which is written as a product of two factors and the correct answer would be option (D).

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We have been given that expression as:

⇒ 50 + 30

We need to write 50 and 30 as the product of its prime factors,

50 = 5 × 5 × 2  and 30 = 2 × 3 × 5

So 50 + 30

⇒ 5 × 5 × 2 + 2 × 3 × 5

Common factor out, and we get

⇒ 5 × 2 (5 + 3)

⇒ 10(5 + 3)

Therefore,  the correct answer would be an option (D).

Learn more about Prime Factorization here:

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Answer:

The slope is

[tex] - \frac{3}{2} [/tex]

Step-by-step explanation:

Remember:

[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

All we have to do is plug the points in.

[tex]Slope = \frac{ - 7 - ( - 1)}{5 - 1} = \frac{ - 6}{4} = - \frac{ 3}{2} [/tex]

Therefore, your slope is

[tex] - \frac{3}{2} [/tex]

Answer:

2.4

Step-by-step explanation:

For one person, it would take 4/5 of an hour (4 divided by 5). Three people would take 12/5 or 2.4 hours because that's just 3*(4/5). Hope this helps!

Answer:

C

Step-by-step explanation:

Answer:

Sheila walked 6 Miles.

Step-by-step explanation:

6 Miles

Answer:

[tex]\displaystyle y=2\sqrt{6}[/tex]

[tex]\displaystyle x=2\sqrt{2}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

[tex]\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}[/tex]

Solving for y:

[tex]y=4\sqrt{2}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

[tex]\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}[/tex]

Simplifying:

[tex]\displaystyle y=2\sqrt{6}[/tex]

Now we use the sine ratio:

[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}[/tex]

Solving for x:

[tex]x=4\sqrt{2}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}:[/tex]

[tex]\displaystyle x=4\sqrt{2}\frac{1}{2}[/tex]

Simplifying:

[tex]\displaystyle x=2\sqrt{2}[/tex]

The choices are not clear, but it seems like the correct answer is C.

[tex]\boxed{\displaystyle y=2\sqrt{6}}[/tex]

[tex]\boxed{\displaystyle x=2\sqrt{2}}[/tex]

Answer:

85555555555555555

Step-by-step explanation:

Answer:

12e - 6f - 4

Step-by-step explanation:

Answer:

whats the whole question

Step-by-step explanation:

Step-by-step explanation:

x²y = k, where k is a real constant.

When x = 3, y = 8.

Therefore k = (3²)(8) = 72.

The equation is x²y = 72 or y = 72/x².

Answer:

1.059×1000 is the value of the following

Answer:

1=ones

0=tenths

5=hundredths

9= thousandths

Hope this helps

Step-by-step explanation:

Answer:

1 adult ticket costs $9.45

1 child ticket cost $3.15

Step-by-step explanation:

63/5 = 12.6

12.6/4 = 3.15

12.6 - 3.15 = 9.45

I think this is correct if not search up

If one was to find what 45% of a certain number was, they would have to A-multiply the number by 0.45.

To find the percentage of a number, the following equation applies:

= 45% x Number

45% when written as a decimal is:

= 45 ÷ 100

= 0.45

The equation can therefore be written as:

= 0.45 x Number

In conclusion, 45% of a number can be found by multiplying it by 0.45.

Find out more at https://brainly.com/question/3859567.

Answer:

Concept: % Values

Answer:

4.9 - 4n

Step-by-step explanation:

Given the expression;

2.4 - 5.5 -4n + 8?

Collect like terms;

2.4 - 5.5 -4n + 8?

2.4 - 5.5 + 8-4n

-3.1 + 8 - 4n

4.9 - 4n

Hence the simplified form of the equation is 4.9 - 4n

Answer: Infinitely many solutions.

Step-by-step explanation:

When looking at the system, it is immediately clear that the second equation is simply the first equation with all terms multiplied by 2. Therefore, there are infinite solutions because these are actually the same exact line when graphed and will always equal each other no matter what the values for x and y are.

Answer:

36km hr

Step-by-step explanation:

Given:

Center of hyperbola is at (h,k).

To find:

The standard forms of a hyperbola.

Solution:

We know that, standard forms of a hyperbola are

1. For Horizontal hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]

2. For Vertical hyperbola:

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]

where, (h,k) is center of the hyperbola.

Therefore, the correct option is B.

6 weeks until she reaches 60 kilo

Answer:

x = 3

y = -1

Step-by-step explanation:

(x-y) + (x+y) = 4 + 2

2x = 6

x = 3

sub x=3 into x+y=2

3+y=2

y=2-3

y=-1

Check by subbing x=3 and y=-1 into x-y=4

(3)-(-1) = 3+1 = 4

Answer:

120

Step-by-step explanation:

5 x 24 is 120. i used a calculator

Answer: If he sold 24 hot dogs he made $120.

Step-by-step explanation:

$40/8=$5 per hot dog

$5*24=$120

Answer: A=6a2

Step-by-step explanation:

did it help?^﹏^

Step-by-step explanation:

Taking the provided equation ,

[tex]\implies \dfrac{3x+4}{5}-\dfrac{2}{x+3} =\dfrac{8}{5} [/tex]

1) Here denominator of two fractions are 5 and x +3 . So their LCM will be 5(x+3)

[tex]\implies \dfrac{(x+3)(3x+4)-(2)(5)}{5(x+3)}=\dfrac{8}{5} [/tex]

2) Transposing 5(x+3) to Right Hand Side . And 5 to Left Hand Side .

[tex]\implies 5(3x^2+4x+9x+12 -10) = 40(x+3)[/tex]

3) Multiplying the expressions.

[tex] \implies 5(3x^2+13x+2) = 40x + 120 [/tex]

4) Opening the brackets .

[tex]\implies 15x^2+ 65x + 10 = 40x + 120 [/tex]

5) Transposing all terms to Left Hand Side .

[tex]\implies 15x^2 + 65x - 40x + 10 - 120 = 0 \\\\\implies 15x^2 +25x - 110 = 0[/tex]

6) Solving the quadratic equation .

[tex]\implies 5(3x^2+5x -22) = 0 \\\\\implies 3x^2+13x-22 = 0 \\\\ \implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{4ac} \\\\\implies x = \dfrac{-5\pm \sqrt{5^2-4(-22)(3)}}{2(3)} \\\\\implies x = \dfrac{-5\pm \sqrt{289}}{6}\\\\\implies x =\dfrac{-5\pm 17}{6} \\\\\implies x = \dfrac{17-5}{6},\dfrac{-17-5}{6}\\\\\implies x = \dfrac{12}{6},\dfrac{-22}{6} \\\\\underline{\boxed{\red{\bf\implies x = 2 , \dfrac{-11}{3}}}}[/tex]

Answer:

[tex]x=2\\x=-\frac{11}{3}[/tex]

Step-by-step explanation:

Solve the rational equation:

[tex]\displaystyle \frac{3x+4}{5}-\frac{2}{x+3}=\frac{8}{5}[/tex]

To eliminate denominators, multiply by 5(x+3) (x cannot have a value of 3):

[tex]\displaystyle 5(x+3)\frac{3x+4}{5}-5(x+3)\frac{2}{x+3}=5(x+3)\frac{8}{5}[/tex]

Operate and simplify:

[tex]\displaystyle (x+3)(3x+4)-5(2)=(x+3)(8)[/tex]

[tex]\displaystyle 3x^2+4x+9x+12-10=8x+24[/tex]

Rearranging:

[tex]\displaystyle 3x^2+4x+9x+12-10-8x-24=0[/tex]

Simplifying:

[tex]\displaystyle 3x^2+5x-22=0[/tex]

Rewrite:

[tex]\displaystyle 3x^2-6x+11x-22=0[/tex]

Factoring:

[tex]\displaystyle 3x(x-2)+11(x-2)=0[/tex]

[tex]\displaystyle (x-2)(3x+11)=0[/tex]

Solving:

[tex]x=2\\x=-\frac{11}{3}[/tex]

Answer:

75%

Step-by-step explanation: