The graph shows the career interests of the students at Linda’s school. Suppose there are 400 students at the school. How many of them want to be an athlete? (Example 1)

Answer:

student A: the third step, they subtracted 16 squared from 24 squared, without figuring out what the squared values were.

student B: is correct

student C: step four, they didn't find the square root of 320, they kind of just took the square off of b and called it good.

Step-by-step explanation:

i hope this helps :)

Given:

The graph of a function [tex]y=h(x)[/tex].

To find:

The interval where [tex]h(x)>0[/tex].

Solution:

From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, [tex]h(x)>0[/tex] for [tex]x<0[/tex] and [tex]x>3.6[/tex].

The function between x=0 and x=3.6 lies below the x-axis. So, [tex]h(x)<0[/tex] for [tex]0<x<3.6[/tex].

Now,

For [tex]-1<x<0[/tex], the graph of h(x) is above the x-axis. So, [tex]h(x)>0[/tex].

For [tex]0<x<1[/tex], the graph of h(x) is below the x-axis. So, [tex]h(x)<0[/tex].

For [tex]1<x<2[/tex], the graph of h(x) is below the x-axis. So, [tex]h(x)<0[/tex].

Only for the interval [tex]-1<x<0[/tex], we get [tex]h(x)>0[/tex].

Therefore, the correct option is A.

Answer: C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Your calculator can do this, but it's probably faster to do it in your head.

  [tex]\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-cb[/tex]

__

  [tex]\left|\begin{array}{cc}3&-1\\-3&4\end{array}\right|=(3)(4)-(-3)(-1)=9\\\\ \\\left|\begin{array}{cc}8&-1\\-4&-1\end{array}\right|=(8)(-1)-(-4)(-1)=-12[/tex]

And the next two rows are ...

  (-12)(5) -(12)(-1) = -48   —   (2)(-1) -(2)(-1) = 0

  (0)(4) -(17)(-1) = 17   —   (1)(1) -(0)(0) = 1

Answer:

We know that the measure of each side is:

5.2cm to 1 decimal place.

Then we can assume that the error is 0.05cm (half of the second decimal place).

With this, the interval of the length of each side will be:

(5.2cm - 0.05cm) = 5.15cm  (as the minimum)

(5.2cm + 0.05cm) = 5.25cm (as the maximum)

Then the interval is (5.15cm, 5.25cm)

2) We know that the perimeter of a square of sidelength L is:

P = 4*L

In this case, the minimum perimeter will be if we choose the smallest sidelength, this is:

P = 4*5.15cm = 20.6cm

And the maximum perimeter can be:

P = 4*5.25cm = 21cm

Then the interval is: (20.6cm, 21cm)

Here we can see that the error for the perimeter is 0.2cm, which is equal to 4 times the error of the length of a side (0.05cm) , as expected.

Answer:

The (x1, y1) and (x2, y2) can be switched in the Distance Formula.

Answer:

x=82

Step-by-step explanation:

Step 1: Cross-multiply.

Step 2: Divide both sides by 19.

x/38=41/19

Answer:

3 tons, 1110 pounds

Step-by-step explanation:

A Ton weighs 2000 pounds, first convert the 4 tons.

You can solve this by multiplying 4 times 2000, and you will get 8000.

Now Add 8000 to 422, and your solution: 8422.

Now subtract 8422 by 1312, and you will get 7110.

Now convert this back to tons, start thinking, how many times can 2000 go into 7110.

That would be 3 my good sir.

Your Remainder: 1110 Pounds

Your Answer: 2 Tons, And 1110 Pounds.

Hope It Helps!

Answer:

[tex]Q+S-T = (7m + 3n) + (n + 5) - ( - m - 3n + 8) \\ = (7 + 1)m + (3 + 1 + 3)n + (5 - 8) \\ = 8m + 7n - 3[/tex]

Given:

M=-5 and (-3,-2).

To find:

The equation in the form [tex]y=mx+b[/tex].

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]          ...(i)

where, m is slope and b is y-intercept.

We have m=-5. Putting m=-5 in (i), we get

[tex]y=-5x+b[/tex]          ...(ii)

We have a point (-3,-2). Putting x=-3 and y=-2 in (ii), we get

[tex]-2=-5(-3)+b[/tex]

[tex]-2=15+b[/tex]

[tex]-2-15=b[/tex]

[tex]-17=b[/tex]

So, the value of b is -17.

Putting b=-17 in (ii), we get

[tex]y=-5x+(-17)[/tex]

[tex]y=-5x-17[/tex]

Therefore, the required equation is [tex]y=-5x-17[/tex].

Answer:

Step-by-step explanation:

(-3/7)/(1/2)=

(-3/7)*(2/1)=-6/7

Answer:

The person above is correct :D The answer is -6/7 and pls give him brainliest i got it right cuz of him/she

Step-by-step explanation:

Answer:

18 is its area

Step-by-step explanation:

Answer:

500000

Step-by-step explanation:

Step-by-step explanation:

9 1/5=46/5 ; 7 1/2=15/2

common denominator is 10

46/5-15/2=( 92-75)/10= 17/10= 1 7/10 feet= 1.7 feet

Answer:

SAS

Step-by-step explanation:

It's the only answer that can satisfy with the figures

By B. SAS (side, angle, side) congruency theorem shows the two triangles are congruent

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

The congruency theorem should always be consecutive angles or sides to the corresponding consecutive angles or sides.

Side PR and VS are congruent also m∠R and m∠V is similar and the sides VT and QR is also congruent.

Therefore, The congruency theorem that holds this is SAS.

learn more about congruency here :

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Answer:

[tex] - 11[/tex]

Step-by-step explanation:

[tex]2 + ( - 13) \\ 2 - 13 = - 11[/tex]

Answer:

Net for the prism will have 3 rectangles with dimensions 5 by 15, 12 by 15 , and 13 by 15, and 2 triangles with legs 5 inches and 12 inches.

The correct net is net a.

Surface area = sum of areas of the three rectangles and sum of the two triangles.

SA = (5 x 15) + (12 x 15) + (13 x 15) + (5 x 12) = 75 + 180 + 195 + 60 = 510 square inches.

Step-by-step explanation:

Hope this helped

Answer: 60,10

Step-by-step explanation: hope this helps

Answer:

y=6x

Step-by-step explanation:

y=kx

find k, which is constant

y=60, x= 10

60=k10

divide both sides by 10

k=6

therefore, the equation relates y and x is;

y=6x

Answer:

Step-by-step explanation:This Ratio Division Calculator allows you to divide an amount by a specific ratio. ... Alternatively, you can enter separate ratios for multi share ratio split of the ... 50% is a ratio expressed as a percentage; ½ is a ratio expressed as a fraction.

In the ratio of 3:7, the numbers are 15 and 35.

A ratio is a numerical relationship showing how often one value includes or is included inside another. It is used to compare two numbers.

Given:

A ratio of 3:7.

To share 50 in the ratio 3:7;

[tex]= 50\cdot\frac{3}{3+7} \ {and}\ {50\cdot\frac{7}{3+7}[/tex]

[tex]= 50\cdot\frac{3}{3+7} \ {and}\ {50\cdot\frac{7}{3+7}[/tex]

= [tex]50\cdot\frac{3}{10} \ {and}\ {50\cdot\frac{7}{10}[/tex]

= 5 x 3 and 5 x 7

= 15 and 35

Therefore, the numbers are 15 and 35.

To learn more about the ratio;

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Answer:

x=0.75

Step-by-step explanation:

Hope this helps!

Answer:

2641.80

Step-by-step explanation:

hope that helps :))

Answer:

464

Step-by-step explanation:

Find other angle:

<B = 180 - 165 - 11 = 4

Then plug in (opposite sides go together):

[tex]\frac{a}{sin 11}[/tex] = [tex]\frac{630}{sin 165}[/tex]

[tex]a = \frac{630 sin 11}{sin 165} = 464.454 = 464[/tex]

The length of side a in ΔABC is 460 inches.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sine rule of ΔABC which is a/sinA = b/sinB = c/sinC.

Given, In ΔABC, c = 630 inches, ∠C=165° and ∠A=11°.

∴ a/sinA = c/sinC.

a/sin11° = c/sin165°.

a/0.19 = 630/0.26.

a = (630×0.19)/0.26.

a = 460.

learn more about sine rule triangles here :

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Answer:

D. 26

Step-by-step explanation:

A = base x height

A = 9 x 4

A = [tex]36m^{2}[/tex]

Answer:

[tex] 36\: m^2 [/tex]

Step-by-step explanation:

Area of parallelogram

= base * height

= 9*4

= 36 square m

Answer:

I would personally say Florida. When looking at things such as race, NYC has many races, and New York has very different neighborhoods and lifestyles.

In Florida, most people are more laid back, and there are not that many differences in race and other aspects.