A national survey of middle-school students asks which subject is most challenging. Which of these samples is a representative sample?

Answer:

1.  y = (-5x/2) + -3

2. y = (3x/2) + 7

Step-by-step explanation:

For both these problems, we simply need to apply point-slope form.

1.  The point (0, -3) and the slope that is perpendicular to the line is the reciprocal of the coefficient, slope = -5/2.

From here, we simply apply the formula:

y - y0 = m ( x - x0)

y - -3 = -5/2 ( x - 0 )

y + 3 = -5/2 x

y = (-5x / 2) + -3

2.  The point (0, 7) and the slope that is parallel to the line must maintain the same slope.  First, we need to rewrite the equation into slope-intercept:

-3x + 2y = 10

2y = 3x + 10

y = 3x/2 + 5

Now we want to apply the point-slope form

y - y0 = m ( x - x0 )

y - 7 = (3/2) (x - 0)

y - 7 = 3x / 2

y = 3x/2 + 7

Cheers.

Answer:

4n+13

Step-by-step explanation:

Answer:

4n+13

Step-by-step explanation:

group all the like terms together to get 5n-4n+3n= n+3n= 4n, and group 3+10 together to get 13. the finished answer should be 4n+13

Answer:

x  = 3[tex]\sqrt{2}[/tex]

step-by step:

x -√2=√8

x = [tex]\sqrt{12}[/tex]

x = [tex]\sqrt{6 * 2}[/tex]

x = [tex]\sqrt{2 * 2 * 3}[/tex]

x  = 3[tex]\sqrt{2}[/tex]

Answer:

x = 3 sqrt(2)

Step-by-step explanation:

x -√2=√8

Add sqrt(2) to each side

x - sqrt(2) + sqrt(2) = sqrt(8)+ sqrt(2)

x = sqrt(8)+ sqrt(2)

Rewriting sqrt(8)  as sqrt(4) sqrt(2) = 2 sqrt(2)

x = 2 sqrt(2)+ sqrt(2)

x = 3 sqrt(2)

Answer:

Absolute value equation: |x - 13| = 5

Step-by-step explanation:

The midpoint between 8 and 18 is;

(8 + 18)/2 = 26/2 = 13

This means that the distance between 13 and either 8 or 18 will be 5.

Now, the absolute value equation will have to say that the distance between x and 13 is 5.

Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.

This gives us the absolute value equation: |x - 13| = 5

Answer:

−0.989010989010

Step-by-step explanation:

what is the 45th term of a sequence generated by the formula tn=(-1)^n * (2n/2n+1)?

When n= 45

tn=(-1)^n*(2n/2n+1)

tn = (-1)^45 * ( 2(45) / 2(45) + 1

= -1 * 90 / (90+1)

= -90 / 91

= −0.989010989010

The 45th term of the sequence generated by the formula tn=(-1)^n*(2n/2n+1) is −0.989010989010

Answer:

1

Step-by-step explanation:

2-6/6

You divide before subtraction

2-1

1

with this information provided all we have to do now is substitute

[tex]f(1):\\h=1 \\f(h) = 10h\\f(1) = 10*1 = 10[/tex]

so, first row:

[tex]f(h)=10 \\ h=1[/tex]

we repeat the same process with the rest of the values

[tex]f(4.5)\\h=4.5\\f(h)=10h\\f(4.5)=10*4.5 = 45[/tex]

second row:

[tex]f(h)=45\\h=4.5[/tex]

repeat that once more

[tex]f(10)\\h=10\\f(h)=10h\\f(10)=10*10= 100[/tex]

third and final row:

[tex]f(h)=100\\h=10[/tex]

and we're done, hope this helps. <3

Let the number of cards equal x.

Set up an equation for both companies, set equal to each other and solve for x.

0.10x + 12 = 0.12x + 10

Subtractb0.10x from both sides:

12 = 0.02x + 10

Subtract 10 from both sides:

2 = 0.02x

Divide both sides by 0.02:

X = 2/0.02

X = 100

100 cards would be the same price for both companies.

Answer:

[tex]\frac{1}{3} x-2[/tex]

Step-by-step explanation:

Answer:

y=1/3x-2

Step-by-step explanation:

HOPE THIS HELPS!!!! :)

<3333333333

Answer:

The best option is the first one. It provides a higher present value.

Step-by-step explanation:

Giving the following information:

Option 1:

Receive $15,000,000 today.

Option 2:

Receive $1,000,000 for 30 years.

Discount rate= 7% compounded annually

To compare both options, we need to calculate the present value of Option 2. The option with the higher present value is the most convenient.

Option 2:

First, we need to determine future value:

FV= {A*[(1+i)^n-1]}/i

A= annual cash flow

FV= {1,000,000*[(1.07^30) - 1]} / 0.07

FV= $94,460,786.32

Now, the present value:

PV= FV/(1+i)^n

PV= 94,460,786.32 / (1.07^30)

PV= $12,409,041.18

The best option is the first one. It provides a higher present value.

Answer:

46.15%

Step-by-step explanation:

(6 ÷ 13) × 100 = 46.15384615

= 46.15%

Answer: Around 28 planes take off every hour

Step-by-step explanation: 336 / 12 = 28

Answer:

30 planes per hour

Step-by-step explanation:

Divide the number of plane takeoffs by the number of hours.

The length of the other leg is 13.1

Given.

The length of the hypotenuse of a right triangle is 30 inches.

The length of one leg is 27 inches.

To the nearest tenth, we need to find the length of the other leg.

It states that in a right-angled triangle the square of the hypotenuse is equal to the square of the other two sides.

We have,

Length of the hypotenuse = 30 inches.

Length of One leg = 27 inches.

Let the length of the other leg be x.

Now,

Applying the Pythagorean theorem.

30² = 27² + x²

900 = 729 + x²

Subtracting 729 on both sides

900 - 729 = 729 + x² - 729

171 = x²

x² = 171

x = 13.07669

Rounding to the nearest tenth

We get,

x = 13.1

Thus the length of the other leg is 13.1

Learn more about the finding length of a side of a right-angled triangle here:

https://brainly.com/question/13515866

#SPJ2

Answer:

12.8 is the square root i think like u could simplify the square toot of 165 since it isnt a whole number

Step-by-step explanation:

sorry if its wrong

Hello! :)

Answer:

[tex]\huge\boxed{NP = 7}[/tex]

Given:

MP = 24

MN = 17

Write an expression to represent NP:

MP = MN + NP

24 = 17 + NP

Isolate NP:

24 - 17 = NP

NP = 7.

Answer:

7cm is the correct answer

Step-by-step explanation:

Hope this is helpful for you

Answer:

The answer was obtained by first taking the measurement for the temperature drop, the duration of the temperature drop, and the rate at which the temperature is dropping which are -28 F, 4 hours, and dropping at a steady rate.

The measured temperature drop of -28 F, is then divided by the duration of the drop which is 4 hours, to get the amount the temperature drop each our as -28F/4 = -7 F per hour

Step-by-step explanation:

The rate at which the local meteorologist claims that the temperature is going to drop = Steady rate

The duration over which the local meteorologist states that the temperature is going to drop = 4 hours

The amount by which the temperature is observed to drop = -28F

The rate at which the temperature is observed to drop = The same amount each hour

Therefore, the temperature drop per hour = -28F/4 = -7 F per hour

Answer:

x=-13

Step-by-step explanation:

divide each term by -7 and simplify I think I hope that works let me know if it's not right

Answer:

9, with a remainder of 1, OR 9.2

Step-by-step explanation:

Answer:

a. y(t) = - 1/2gt² + y₀ b. [tex]t = \frac{v_{0} +/- \sqrt{v_{0} ^{2} + 2 y_{0}g } }{g }[/tex]

Step-by-step explanation:

Let the quadratic function y(t) = v₀t - 1/2gt² + y₀ represent the quadratic function that models the height above the ground of the projectile.

a. Maximum Height

At maximum height, the velocity, v₀ = 0, so substituting v₀ = 0 into the equation, we have

y(t) = v₀t - 1/2gt² + y₀

y(t) = 0 × t - 1/2gt² + y₀

y(t) = 0 - 1/2gt² + y₀

y(t) = - 1/2gt² + y₀

b. Time when the projectile reaches the ground

The time when the projectile reaches the ground is gotten when y(t) = 0, So

y(t) = v₀t - 1/2gt² + y₀

0 = v₀t - 1/2gt² + y₀

re-arranging, we have

1/2gt² - v₀t - y₀ = 0

Using the quadratic formula,

[tex]t = \frac{-(-v_{0}) +/- \sqrt{(-v_{0}) ^{2} - 4 X (-y_{0}) X\frac{g}{2} } }{2 X \frac{g}{2} } \\= \frac{v_{0} +/- \sqrt{v_{0} ^{2} + 2 y_{0}g } }{g }[/tex]

Answer:

C

Step-by-step explanation:

40+20=60

A.10(4+2) = 60

B.5(8+4) = 60

C.4(10+16) = 104

D.2(20+10) = 60

Answer:C

Step-by-step explanation:

First we find out what 40+20 is which is 60

So now we go through each choice to see if any doesn’t equal 60

A.10(4+2)

10*6=60

B.5(8+4)

5*12=60

C.4(10+16)

4*26=104

D.2(20+10)

2*30=60

As you can see C is 104 not 60 so c is the answer

Answer:

C. $80

Step-by-step explanation:

To determine how much money will four people save altogether one way using the lower rate, you have to calculate the cost of buying four tickets with the regular airfare and the cost of buying four tickets with the special discount and then, find the difference:

Regular airfare=$125

125*4=$500

Airfare with discount=$105

$105*4=$420

$500-$420=$80

According to this, the answer is that four people will save $80 using the lower rate.

Answer:

[tex](-1,2,-1)[/tex]

Step-by-step explanation:

we already know that c= -1

we can substitute in 4b + c =7

[tex]4b+(-1)=7\\\\4b-1=7\\\\4b=7+1\\\\4b=8\\\\b=2[/tex]

we can substitute in a + b -5c = 6

[tex]a+(2)-5(-1)=6\\\\a+2+5=6\\\\a+7=6\\\\a=6-7\\\\a=-1[/tex]

so it is

[tex](-1,2,-1)[/tex]

Answer:

The Domain should be (10,+infinity) as x>10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the average low temperature by month in Nashville is represented by the function  f(x)=-1.4x² + 19x +1.7, where x is the month, the average rate of change is expressed as d[f(x)]/dx = 2(1.4x) + 19

d[f(x)]/dx  = 2.8x + 19

Since the number of months between March and August is 5 months and x is in months, hence we will substitute x = 5 into the resulting function to get  the average rate of change from March to  August as shown;

d[f(x)]/dx  at x = 5

= 2.8(5)+ 19

= 14 + 19

= 33

Hence the average rate of change from March to August is 33

Answer:

1,3

2,4

5,5

Step-by-step explanation:

x,y

0,2

Answer:

(1,3),(2,4),(3,5)

Step-by-step explanation:

Remember that when plotting points, the x value comes first and then the y value.

Look at the graph, x value then y value, to find the point locations.

Cheers.

Answer:

-13

Step-by-step explanation:

Answer:

-13 is your answer

when a negative and a positive are next to each other they equal and negative l. So your final equation would be -8-5

Answer:

answer is 25

Step-by-step explanation:

x+2+153=180

x+155=180

x=180-155

x=25

hope this helps :)