The expression - 2 (8t^2- 24t) represents the height, in feet, of a football t seconds after it is kicked. Which value represents the initial velocity
of the football?
A.8
B.16
C.24
D. 48

Answer:

Step-by-step explanation:

(2/5)x + 9 = 9 is equivalent to (2/5)x = 0

"Nine more than two-fifths of a number is nine" is correct.

Answer:

Nine more than two-fifths of a number is nine

Step-by-step explanation:

Answer:

20.

Step-by-step explanation:

We can begin by calculating 20% of 6:

0.2 × 6= 1.2

If 1.2 is 6% of the number, we can set up an equation like this:

0.06x = 1.2

Now, divide on both sides, giving us:

x= 20.

Answer:

2 times x plus 3 times x cubed.

Step-by-step explanation:

2x = 2 * x = two times (multiplied) by x.

+ = plus.

3x^3 = 3 * x^3 = three times (multiplied) by x cubed.

~

Answer: 2700π

Step-by-step explanation: You've already answered part of the question. I used your info of the small circle(900π) and subtracted it from the big circle(3600π) and got 2700π

Answer:

choice a is the answer

0.17

Step-by-step explanation:

Answer:

.25

Step-by-step explanation:

.25 is the only one that is equivalent to 11/44

hope this helps ^‿^

Answer:

1 8/11

Step-by-step explanation:

19/11

11 goes into 19 one time with 8 left over

put the 8 over the denominator

1 8/11

1 8/11

is the correct answer.

Answer:

[tex]\large\boxed{\tt Area=250in.^{2}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked for the area of a Dilated Rectangle.}[/tex]

[tex]\textsf{We are given the dimensions, 5 inches wide and 8 inches in length. Then, we are}[/tex]

[tex]\textsf{given a \underline{Scale Factor}.}[/tex]

[tex]\large\underline{\textsf{What is a Scale Factor?}}[/tex]

[tex]\textsf{A Scale Factor is a term that represents how large the next shape will be. Note}[/tex]

[tex]\textsf{that only sides of a shape are affected by the Scale Factor. Angles, and the form}[/tex]

[tex]\textsf{of the shape remain the same.}[/tex]

[tex]\underline{\textsf{Example;}}[/tex]

[tex]\textsf{We are given a rectangle with 5 cm. as the length, and 6 cm. as the width.}[/tex]

[tex]\textsf{The Scale Factor is 2.}[/tex]

[tex]\textsf{We will multiply the dimensions of the triangle by 2, then find the area.}[/tex]

[tex]\large\boxed{\tt Area = Length \times Width}[/tex]

[tex]\tt Area=(5 \times 2) \times (6 \times 2)[/tex]

[tex]\tt Area=10 \times 12[/tex]

[tex]\large\boxed{\tt Area=120cm^{2}}[/tex]

[tex]\large\underline{\textsf{For our problem;}}[/tex]

[tex]\textsf{We should start solving for the dilated area after multiplying the dimensions by}[/tex]

[tex]\textsf{the Scale Factor.}[/tex]

[tex]\textsf{Remember That You Should Not Multiply The Scale Factor By The Area.}[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{Multiply the dimensions by the Scale Factor.}[/tex]

[tex]\tt Area=(5 \times 2.5) \times (8 \times 2.5)[/tex]

[tex]\underline{\textsf{This will evaluate to;}}[/tex]

[tex]\tt Area=12.5 \times 20[/tex]

[tex]\large\boxed{\tt Area=250in.^{2}}[/tex]

The area of the picture after being enlarged by a scale factor of 2.5 will be 250 square inches, which is determined by multiplying the new dimensions (12.5 inches by 20 inches). The correct answer is option b) 250 in².

To find the new area of the picture after enlargement, we use the scale factor. First, we find the original area of the picture by multiplying the width by the height: 5 inches * 8 inches = 40 [tex]in^2[/tex]. The photographer wants to enlarge the picture by a scale factor of 2.5. This means that both the width and the height of the picture will be multiplied by 2.5.

So the new width will be 5 inches * 2.5 = 12.5 inches and the new height will be 8 inches * 2.5 = 20 inches. Now we can calculate the enlarged picture's area:

12.5 inches * 20 inches = 250 [tex]in^2[/tex]. Therefore, the area of the picture after enlargement will be 250 square inches, which corresponds to option (b).

Answer:

x = -7

Step-by-step explanation:

Our function is [tex]f(x) =(x+4)^6(x+7)^5[/tex]. Notice that our possible roots are when x + 4 = 0 and when x + 7 = 0. So, our roots are -4 and -7.

However, the power above x + 4 is even, meaning the graph will simply touch the x-axis at x = -4, but not pass through. The power above x + 7, though, is odd, which means the graph will cross the x-axis.

Thus, the answer is x = -7.

Answer:

x = -7

Step-by-step explanation:

f(x) = (x+4)⁶(x + 7)⁵

The roots are when f(x) = 0

(x+4)⁶ = 0

x = -4 (multiplicity 6)

(x+7)⁵ = 0

x = -7 (multiplicity 5)

The graph is tangential to the x-axis on roots with even multiplicity, crosses tge x-axis at roots with odd multiplicity

This graph cuts/crosses the x-axis at x = -7

Answer:

[tex] g(x) = (x-2)^2 -6(x-2) +3[/tex]

[tex] g(x) = x^2 -4x +4 -6x +12 +3[/tex]

[tex] g(x) = x^2 -10 x +19[/tex]

[tex] g(x) = x^2 -10 x + 25 +19 -25[/tex]

[tex] g(x) = (x-5)^2 -6[/tex]

[tex] y= (x-h)^2 -kk[/tex]

Where h,k represent the vertex and we got:

[tex] (h,k)= (5,6)[/tex]

(5,6)

Step-by-step explanation:

We have this original function given :

[tex] f(x) = x^2 -6x +3[/tex]

And we want to find the vertex for this new function [tex] g(x) = f(x-2)[/tex] and we have:

[tex] g(x) = (x-2)^2 -6(x-2) +3[/tex]

And solving the square we got:

[tex] g(x) = x^2 -4x +4 -6x +12 +3[/tex]

And adding similar terms we got:

[tex] g(x) = x^2 -10 x +19[/tex]

Now we can complete the square like this:

[tex] g(x) = x^2 -10 x + 25 +19 -25[/tex]

[tex] g(x) = (x-5)^2 -6[/tex]

The general equation is given by:

[tex] y= (x-h)^2 -kk[/tex]

Where h,k represent the vertex and we got:

[tex] (h,k)= (5,6)[/tex]

(5,6)

Answer:

C) 7c+6s-63

Step-by-step explanation:

set up this equation because you are adding the two expressions

[tex]7c-18+6s-45[/tex]

combine like terms

[tex]7c+6s-63[/tex]

Answer:

Step-by-step explanation:

This question is about Kamden, a mind-reading alien, guessing whether cards have a star on them using probability and counting.

The subject of this question is Mathematics. Kamden, a mind-reading alien, has each of his friends draw and look at a card, and he tries to guess whether the card has a star on it.

This task involves probability and counting. If there are a total of 'n' cards and 'm' of them have a star on them, the probability of Kamden guessing correctly is m/n.

For example, if there are 10 cards and 3 of them have a star, the probability of Kamden guessing correctly is 3/10 or 30%.

Answer:

50 miles

Step-by-step explanation:

60 divided by 30 = 5

5 miles = 10% of the trip

40% of the trip left to go

40% = 20 miles (5 x 4)

30 + 20 = 50

hope this helps!

To find the length of the whole trip, set up a proportion using the given information and solve for the missing variable. The whole trip is approximately 50 miles long.

To find the length of the whole trip, we can set up a proportion using the information given. We know that 60% of the trip is equivalent to 30 miles. We can set up the proportion:

60% / 100% = 30 miles / x

By cross-multiplying, we get:

x = (30 miles * 100%) / 60%

Calculating this, we find that the whole trip is approximately 50 miles long.

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Answer:

C

Step-by-step explanation:

Angles on a straight line is 180

Answer:

pretty sure it's the third option.

Step-by-step explanation:

I've done this before.e

Answer:

n = 2

Step-by-step explanation:

Answer:

m= -2

Step-by-step explanation:

The solution is m = -2

Step-by-step explanation:

The given rational equation is

We'll simplify the left hand side first.

The LCD is (m+4)(4-m)

Hence, multiply and divide the first term by 4-m and second by m +4

Use the difference of squares rule

We can now add the numerator

On simplifying, we get

Add the like terms

Multiply and divide left hand side by -1

We can cancel the denominator

Divide both sides by 8

The solution is m = -2

Joshua's 15 ft ladder, if leaned against the wall to reach a height of 14.8 ft, would be at an unsafe angle less than 70° and thus, is not safe to use in this manner.

The student has asked whether Joshua's ladder, which is 15 feet long and is supposed to lean against a wall with the top at 14.8 feet above the ground, will be safe with an angle no greater than 70°. To determine this, we can use the trigonometric function cosine, which relates the adjacent side (the height at which the top of the ladder reaches the wall) to the hypotenuse (the length of the ladder) in a right-angled triangle. The cosine of the maximum safe angle (70°) should therefore be equal to or greater than the ratio of the height of the ladder against the wall (14.8 feet) to the length of the ladder (15 feet).

We calculate the cosine of 70°: cos(70°) ≈ 0.342. Then we calculate the ratio 14.8/15 which equals 0.9867. Since 0.9867 is much greater than 0.342, it means the ladder will form an angle that is less than 70°, which is not within the safe range as per Joshua's requirement.

Therefore, it is not safe for Joshua to lean the ladder in this manner because the angle formed will be steeper than the maximum safe angle of 70°, which may result in the ladder slipping.

Answer:D. 0.039

Step-by-step explanation:

The probability that a student is taking a humanities class, given the student is male, is 0.389 option (D) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have the total number of male students = 70+50+60 = 180

So, the total number of outcomes = 180

Total number of male students who take humanities class = 70

Now, the probability = 70/180 = 0.388 ≈ 0.389

Thus, the probability that a student is taking a humanities class, given the student is male, is 0.389 option (D) is correct.

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Answer:

cm=1500

mm= 15000

hope it helps if you needed help ._.

Step-by-step explanation:

Answer:

1,000 centimeters are in a meter and 10,000 millimeters are in a meter.

Step-by-step explanation:

10 x 100=1,000

1000 divided by 100=10

10 x 1000=10,000

10,000 divided by 1,000=10

Answer:

8.555625.

Step-by-step explanation:

Um, well...

4.5(0.65) is 2.925.

Then from there it is 2.925^x is 8.555625.

The converse of a theorem is created by reversing the hypothesis and the conclusion of the theorem's statement. The correct multiple-choice answer is 'D. A statement formed by transposing what is to be proved by a theorem and what is given.'

The converse of a theorem is a logical statement where the elements of the theorem's statement are switched. If you have a theorem that states "If A, then B," the converse of that theorem would be "If B, then A." This essentially transposes the hypothesis and the conclusion. In the context of the multiple-choice options provided, the correct answer is D.

A statement formed by transposing what is to be proved by a theorem and what is given. It's important to note that even though a theorem is proven true, its converse is not necessarily true and must be proven separately if it is to be accepted as true.

Answer:

It is 4 years

hope this helped and plz follow me!!

Answer:

r:x+y=7 P0 (-3,2)

r// y=x

y-y0=m0(x-x0)

y-2=1(x+3)

y-2=x+3

y=x+5

The days will the chocolate last is A) More than 12 days . Therefore A) More than 12 days is correct .

One chocolate bar lasts for 12 days because 1 / (1/12) = 12

Two chocolate bars last for 24 days because 12 * 2 = 24

So, even if Luna has one s'more a day, the chocolate will last for more than 12 days.

The other options are not as likely:

Option (B) is less likely because two chocolate bars would still last for more than a day, even if she had one s'more a day.

Option (C) is possible, but it's less likely than option (A) because two chocolate bars would provide more than 12 s'mores worth of chocolate.

Therefore, the answer is A) More than 12 days.

Question

Luna packed two chocolate bars for the trip. One s'more uses 1/12 of a bar. If she has one s'more a day, about how many days will the chocolate last?

A) More than 12 days

B) Less than 1 day

C) Between 1 and 12 days

Answer:

The first one is (0.5,1)

second is (1.5,1)

Step-by-step explanation:

I will edit this for the second one sec

Answer:

Step-by-step explanation:

Answer is B. 8

The value of b such that the determinant is 24 will be 8.

matrix, a collection of numbers lined up in rows and columns to produce a rectangular array. The elements of the matrix, also known as the entry, are the numerals.

Matrix applications are crucial in many fields, including computer graphics, where they have been used to explain image transformations and other adjustments.

Given the matrix,

Its determinant will be

-5( -42 + 4b ) - 4(30 - 24 ) + 1(5b - 42 ) = 24

-15b + 144 =  24

15b =  120

b = 8

Hence the value of b will be 8.

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Answer:

3.4

Step-by-step explanation:

Answer:

0<x<8.7

Step-by-step explanation:

for it to be a triangle, sum of two sides must be greater than the largest side.

so, if x is 8.4 or greater, it can't be a triangle since it is greater than the sum of 3.2 and 5.5

a side must be greater than 0

so , 0<x<8.7

Answer:

y = 10x + 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = 10 and b = 15, thus

y = 10x + 15

Answer:

$530/T

Step-by-step explanation: