The Fitness Gram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. ... The running speed starts slowly, but gets faster each minute after you hear this signal.

ANSWER

[tex]x = \frac{ - 20}{7}[/tex]

[tex]y=\frac{ 4}{7}[/tex]

EXPLANATION

The x and y coordinates of the point that partition

[tex](x_1,y_1)[/tex]

and

[tex](x_2,y_2)[/tex]

in the ratio m:n is given by:

[tex]x = \frac{mx_{2} + nx_{1}}{m + n} [/tex]

and

[tex]y= \frac{my_{2} + ny_{1}}{m + n} [/tex]

The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3).

We substitute the given points,

[tex]x_1=-6[/tex]

[tex]y_1=2[/tex]

[tex]x_2=5[/tex]

[tex]y_2=-3[/tex]

[tex]m = 2[/tex]

[tex]n = 5[/tex]

This implies that;

[tex]x = \frac{2(5)+ 5( - 6)}{2 + 5} [/tex]

[tex]x = \frac{10 - 30}{2 + 5} [/tex]

[tex]x = \frac{ - 20}{7} [/tex]

[tex]y = \frac{2( - 3)+ 5( 2)}{2 + 5} [/tex]

[tex]y = \frac{ - 6+ 10}{2 + 5} [/tex]

[tex]y=\frac{ 4}{7}[/tex]

Answer:

x =  \frac{ - 20}{7}

y=\frac{ 4}{7}

Step-by-step explanation:

given, y= -2x^2;

so, when x=1, y= -2((1)^2)= -2

so pair which lie on graph is (x,y) is (1,-2)

Answer:

None

Step-by-step explanation:

We are given that a graph[tex] h(x)=-3x^2[/tex]

We have to find that which pair lie on the given graph.

In order to find the value of ordered pair which lies on the given graph by substituting the value of x=1

If we get h(x)=-4 or -2 or 4 corresponding to x=1 then that pair will be answer.

Substitute x=1 then we get

[tex]h(x)=-3(1)^2=-3[/tex]

The order pair is  (1,-3).

Given options do not match with order pair (1,-3).

Hence, answer is none of the above.

Answer:

Step-by-step explanation:

[tex]8=2\cdot2\cdot2=2^3\\\\\text{It's a perfect cube}[/tex]

Answer:  3, -3, 3i, -3i

Step-by-step explanation:

[tex]x^4-81=0\\\\Factor:\\(x^2-9)(x^2+9)=0\\(x-3)(x+3)(x^2+9)=0\\\\\text{Apply the Zero Product Property:}\\x-3=0\qquad x+3=0\qquad x^2+9=0\\\boxed{x=3}\qquad \qquad \boxed{x=-3}\qquad \quad x^2=-9\\.\qquad \qquad \qquad \qquad \qquad \qquad x=\sqrt{-9}\\.\qquad \qquad \qquad \qquad \qquad \qquad \boxed{x=\pm 3i}[/tex]

Answer:

Which equations are true?

There is more than one correct answer choice. Select all that apply.

4⋅5m+4⋅7=20m+47

14+21w=7(2+3w)

49r+35=7(7r+35)

9(8h−3)=72h−27

5⋅2+5⋅3t=10+15t

3⋅6f+3⋅11=18f−33

Step-by-step explanation:

Once you expand the brackets on the left hand side you should get get the answers on the right hand side

Answer:

x = 7

Step-by-step explanation:

The triangles are similar, and they have a scale factor of 1/7 because 14 / 7 = 2.

Following the scale factor, you divide 49 by 7 to get 7.

The value of x in the second triangle is 7.

To determine the value of x in the diagram, we need to use the concept of similar triangles.

Two triangles are similar if their corresponding angles are equal and their sides are in proportion.

In this case, we have two triangles:

Triangle with sides 14 and 49.

Triangle with sides 2 and x.

Since both triangles are similar, we can set up a proportion using their corresponding sides:

(14 / 2) = (49 / x)

Now, we can solve for x:

(14 / 2) = (49 / x)

7 = 49 / x

To solve for x, we can multiply both sides of the equation by x:

7x = 49

Now, divide both sides by 7 to isolate x:

x = 49 / 7

x = 7

So, the value of x in the second triangle is 7.

for such more question on triangle

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Answer:

Part a) The scale of the new blueprint is [tex]\frac{5}{8} \frac{in}{ft}[/tex]    

Part b) The width of the living room in the new blueprint is [tex]9.4\ in[/tex]

Step-by-step explanation:

we know that

The scale of the original blueprint is

[tex]\frac{2}{5}\frac{in}{ft}[/tex]

and

the width of the living room on the original blueprint is 6 inches

so

Find the actual width of the living room, using proportion

[tex]\frac{2}{5}\frac{in}{ft}=\frac{6}{x}\frac{in}{ft}\\ \\x=5*6/2\\ \\x=15\ ft[/tex]

Find the actual length of the living room, using proportion

[tex]\frac{2}{5}\frac{in}{ft}=\frac{9.6}{x}\frac{in}{ft}\\ \\x=5*9.6/2\\ \\x=24\ ft[/tex]

Find the scale of the new blueprint, divide the length of the living room on the new blueprint by the actual length of the living room

[tex]\frac{15}{24} \frac{in}{ft}[/tex]

simplify  

[tex]\frac{5}{8} \frac{in}{ft}[/tex]      

Find the width of the living room in the new blueprint, using proportion

[tex]\frac{5}{8}\frac{in}{ft}=\frac{x}{15}\frac{in}{ft}\\ \\x=15*5/8\\ \\x=9.4\ in[/tex]

Final answer:

The scale of the new blueprint is 1.5625, and the width of the new blueprint is 9.375 inches.

Explanation:

The original blueprint of the Moreno’s’ living room has a scale of 2 inches= 5 feet.

The family wants to use a new blueprint that shows the length of the living room to be 15 inches. If the width of the living room on the original blueprint is 6 inches and the length is 9.6 inches, what are the scale and the width of the new blueprint.

Calculate the scale using the original blueprint scale and the new length provided:

Scale = (New Length)/(Original Length) = 15/9.6 = 1.5625.

Calculate the width of the new blueprint using the original width and the scale:

Width of new blueprint = (Original Width) * (Scale) = 6 * 1.5625 = 9.375 inches.

Yes! This is true. line segment LM is dilated to create L'M' using point Q as the center of dilation and a scale factor of 2

This can be confirmed by the concept of similar triangles. The proportions of the sides are used to confirm this

The proportion used is: LQ / L'Q = 4 / (4 + 4 ) = 1/2

The scale factor is 2.

Hence L'M' / LM = 2

[tex]\bf (-3v)^5\implies \stackrel{\textit{distributing the exponent}}{(-3)^5(v)^5}\implies -243v^5[/tex]

To simplify (-3v)^5, raise the absolute value to the power of 5 and keep the negative sign. The simplified expression is -243v^5.

To simplify the expression −3v5, raise the absolute value of -3v to the power of 5 and keep the negative sign. Since v is a variable, we cannot simplify it further.

The simplified expression is:

−35v5 = −243v5

Answer:

f(x)-g(x)= 4x²-3x-10

Step-by-step explanation:

(6x²-9x-17) - (2x²-6x-7)

use distributive property

6x²-9x-17-2x²+6x+7

combine like terms

4x²-3x-10

Answer:

manger b gets mor money

pleaee give branly

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120                 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120     Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120      collect the like terms on the left

5x^2 + 25x +  50 = 120                                   Subtract 120 from both sides.

5x^2 + 25x - 70 = 0                                         Divide through by 5

x^2 + 5x - 14 = 0                                               Factor

(x + 7)(x - 2) = 0                                                 x + 7 has no meaning  

x - 2 =  0

x = 2                                                              

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

Answer: --42

Step-by-step explanation:

All that you have to do in this equation is substitute the value of x given with the x's in the expression. SO...

Expression: -4(5x+2) - 6(x-3)

Substitute: -4(5(2)+2) - 6((2)-3)

Solve: -4(10+2) - 6(-1)

-4(12) - 6(-1)

-48 +6

Answer: -42

Hope this helps!

Answer:

What is the simplified expression?

✔ –26x + 10

What is the value for both expressions when x = 2

✔ –42

Step-by-step explanation:

I just got it correct

The mode is the most frequently occurring number in a data set. In this case, there doesn't appear to be a mode, as each number only appears once.

To find the mode, we need to identify which age appears most frequently in the dataset. Given the data you provided - 28 years old, 48 years old, 55 years old, 64 years old - it seems every age only appears once and none of them repeat. Hence, in this case, we can not find a mode because there are no repeating numbers.

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Answer:

2 1/3 - -3 1/4 = 2 1/3 + 3 1/4 = 5 7/12

-1.25*-3 1/4 = 4.0625

Step-by-step explanation:

The greatest difference will be two numbers which subtracted give the largest value.

2 1/3 - -3 1/4 = 2 1/3 + 3 1/4 = 5 7/12

This is the greatest value because it is the greatest number and the least number.

The greatest product will be -1.25 and -3 1/4 since both numbers are negative they give a positive solution.

-1.25*-3 1/4 = 4.0625

Answer:

f(x) = x + 8

Step-by-step explanation:

this is the answer because the equation is y = mx + k. In this formula the k value represents the number of times the graph goes up and down. When a graph moves up 8 units. The k value becomes +8. Hence the answer is y = x + 8.

Answer:

your answer would be A. Brown v. Board of Education

Step-by-step explanation:

Answer:

The correct answer is the option A: Brown v. Board of Education.

Step-by-step explanation:

Brown v. Board of Education was a landmark decision by the Supreme Court of the United States in the year 1954, whose main purpose was to prohibited state laws, that were in favor of the racial segregation of schools, declaring them unconstitutional, due to the fact that these segregated schools violated the ''Equal Protection Clause'' of the Fourteenth Amendment of the United States' Constitution.

It all began in 1951 when the Brown family wanted to take her daughter to a school near their home, but the board education of the school refused and said that they must take her to a segregated black elementary school further away. Then, the family and other twelve families in similar situations initiated a class action lawsuit in U. S. federal court against the school's board of education located in Topeka, Kansas.

Answer:

We can say that the graph g(x) is obtained by shifting the grapf f(x) by 2 units up.

Step-by-step explanation:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = f(x) + k[/tex]

Rule : f(x)→f(x)+k

graph f(x) shifts upward by k units

Since we are given that [tex]g(x) = f(x) + k[/tex]

So, this means when graph f(x) shifts upward by k units then g(x) is obtained

We are given that k = 2

So, when graph f(x) shifts upward by 2 units then g(x) is obtained .

Thus we can say that the graph g(x) is obtained by shifting the grapf f(x) by 2 units up.

X= 9/2

X= 4.5

X= 4 1/2

Answer: 9/2

Step-by-step explanation:

1.Break down the problem into these 2 equations.

x+4=3x−5

−(x+4)=3x−5

2. Solve the 1st equation: x+4=3x−5.

x=9/2

3. Solve the 2nd equation: −(x+4)=3x−5

x=1/4

4. Collect all solutions.

x=1/4,9/2

5. Check solution

When x=1/4​​, the original equation ∣x+4∣=3x−5 does not hold true.

We will drop x=1/4​​ from the solution set.

6. Therefore,

x=9/2

The number 30,000 is made up of 30,000 individual ones. This basic mathematical concept helps understand the scale of numbers and aid in quick approximations. It can be compared to estimating powers of 10 for mental calculations.

The question '30000 equals how many ones' can be interpreted as asking how many single units there are in 30,000. This is a basic math concept dealing with place value and integer understanding. Each individual unit is a 'one', and therefore, in 30,000, there are 30,000 of these individual units, each one contributing to the total value of the number. In other words, 30,000 is comprised of 30,000 ones.

To relate this to practical applications, consider the example where the square root of 10 is roughly estimated as 3, because 3³ (which is 3 x 3 x 3) equals 27, which is near to 10² (100), giving us an approximation that is useful for mental calculations. Similarly, the basic concept of powers of 10 can be applied here, with 10³ being 1,000, hence 30 x 10³ being 30,000. So, when you're working with large numbers like 30,000, knowing that it is made up of 30,000 ones can help you understand its scale and make quick approximations in everyday calculations.

The overall temperature would be 3.6°F as this is how much it was changed by

Answer=3.6°F

Answer: 919

Step-by-step explanation: I set up a cross multiplication equation. I set 55 over 100 equal to 505.45 over X. I cross multiplied and did 505.45 times 100, which is 50,545. I then did 50,545 divided by 55 to get the answer of 919.

Answer:

The answer to this problem is 32

Step-by-step explanation:

How to get this answer is u divide the base by the area of meters. so 276/12=32. Hope this helps and i hope its right!

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Put it into a calculator. The method is correct. The answer is 23

Answer:

x             y

0             5

1              10

2              20

Step-by-step explanation:

Given the equation:  y = 5(2)       .....[1]

Here, x is the input variable and y is the output variable.

For x =0

Substitute in equation [1]; we have;

y = 5(2) = 5 x 1 = 5

For x = 1

Substitute in equation [1]; we have;

y = 5(2)*1  = 5 x 2= 10

For x =2

Substitute in equation [1]; we have;

y = 5(2)*2 = 5 x 4 = 20

Therefore, the table values which is correct for the equation   is;

x             y

0             5

1              10

2              20

The answer to your question is 82%

The stadium is 87% filled with 13,920 people attending out of a maximum capacity of 16,000 seats.

To find out what percentage of the stadium's capacity is filled, we can use the formula: (Number of people in the stadium / Capacity of the stadium) × 100%. In this case, the stadium currently has 13,920 people and its capacity is 16,000 seats. We calculate the percentage like this:

(13,920 / 16,000) × 100% = 0.87 × 100% = 87%

Therefore, 87% of the stadium's capacity is filled.

Answer:

x < 8

Step-by-step explanation:

Given

x + 4 < 12

Isolate x on the left side by subtracting 4 from both sides

x < 8 ← is the solution

Answer:

x< 8

Step-by-step explanation:

x+4<12

x+4<12

 -4  -4

x<8

Answer:

The inverse function is f(x) = (x + 7)/2

Step-by-step explanation:

To find the inverse of any function, start by switching the x and f(x) values.

f(x) = 2x -7

x = 2f(x) - 7

Now solve for the new f(x). The result will be your inverse function.

x = 2f(x) - 7

x + 7 = 2f(x)

(x + 7)/2 = f(x)

The inverse of Y = 2x - 7 can be found by swapping the x and y variables and then solving for y, which gives the inverse function y = (x + 7) / 2.

To find the inverse of the function Y = 2x - 7, you can follow these steps:

So, the inverse of Y = 2x - 7 is y = (x + 7) / 2.

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Answer: 84

Simplify it to 14x6

Answer:

8^4

Step-by-step explanation:

Here we have:

8^6 · 8³

-------------

   8^5

That's multiplication in the numerator.  The appropriate rule of exponents states that:

8^a·8^b = 8^(a+b), so the numerator is equivalent to 8^(6 + 3) = 8^9.

Now we have

8^9

------

8^5

and the appropriate rule for division here is

8^a / 8^b = 8^(a - b)

So our:

 8^9

---------  8^(9-5) = 8^4

  8^5