Bridget asked 100 students at her school whether or not they liked broccoli. Her results are in the pie chart. What is the BEST prediction of how many students answered 'yes'?

Answer:

The rate at which the distance from the plane to the station is increasing is 331 miles per hour.

Step-by-step explanation:

We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:

a: is one side of the triangle = altitude of the plane = 3 miles

b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles

h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles                    

First, we need to find b:    

[tex] a^{2} + b^{2} = h^{2} [/tex]   (1)    

[tex] b = \sqrt{h^{2} - a^{2}} = \sqrt{(4 mi)^{2} - (3 mi)^{2}} = \sqrt{7} miles [/tex]

Now, to find the rate we need to find the derivative of equation (1) with respect to time:

[tex]\frac{d}{dt}(a^{2}) + \frac{d}{dt}(b^{2}) = \frac{d}{dt}(h^{2})[/tex]

[tex] 2a\frac{da}{dt} + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]

Since "da/dt" is constant (the altitude of the plane does not change with time), we have:  

[tex] 0 + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]

And knowing that the plane is moving at a speed of 500 mi/h (db/dt):

[tex]\sqrt{7} mi*500 mi/h = 4 mi*\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = \frac{\sqrt{7} mi*500 mi/h}{4 mi} = 331 mi/h[/tex]  

Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.

I hope it helps you!

mind fact sub happy wala birthday quiz frist video

Answer:

6t=9? let me know if that's correct x

Step-by-step explanation:

Answer:

c = 2.9 yards

Step-by-step explanation:

2c = 42.4 - (18.3 x 2)

2c = 42.4 - 36.6

2c = 5.8

c = 5.8 / 2

c = 2.9 yards

Hope that helps! :)

Step-by-step explanation:

when you look at the graphic and the right-angled triangle :

sine is the length of the vertical leg (opposite of the associated angle) divided by the length of the Hypotenuse (the baseline opposite of the 90° angle), because the sine function values are defined for the norm circle with radius 1. for any larger circle (or triangle inscribed in such a larger circle), we get the basic trigonometric function values by measuring the sides and norming to a radius of 1 (dividing them by the length of the actual radius).

cosine is the horizontal leg (at the "bottom").

the same principle applies. the cosine value is the length of that leg divided by the length of the Hypotenuse.

we know from the given ratio for sine, that the length of the Hypotenuse is 6.

so, we know 2 sides of the right-angled triangle :

the vertical leg is 5, the Hypotenuse is 6.

now, we use Pythagoras to get the horizontal leg :

6² = 5² + leg²

36 = 25 + leg²

11 = leg²

leg = sqrt(11)

and so cosine of the angle is

sqrt(11)/6

Answer:

Step-by-step explanation:

total sum of Triangle's angles is 180 deg:

than: x = 180 -61-56 = 63

Answer:

63 degrees

Step-by-step explanation:

All three angles in a triangle is always 180, so 180-61-56=63 degrees

Please mark Brainliest.

Have a great weekend!

Answer:

It is linear. It is linear because it is a strait line which means that it is a function. A not linear line would look like a noodle.

Answer:

37

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56

Step-by-step explanation:

Answer:

[tex]Area = 346m^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 5m\\Width = 6m\\Height = 13m[/tex]

Required

Determine the surface area

This is calculated as:

[tex]Area = 2 * (Length * Width + Length * Height + Width * Height)[/tex]

So, we have:

[tex]Area = 2 * (5m * 6m + 5m * 13m + 6m * 13m)[/tex]

[tex]Area = 2 * (30m^2 + 65m^2 + 78m^2)[/tex]

[tex]Area = 2 * (173m^2)[/tex]

[tex]Area = 346m^2[/tex]

Answer:

what's

Step-by-step explanation:

the test

The expression that represents the total cost of the donuts is: c + d

To determine the expression that represents the total cost, the following parameters are needed

Let c represents the cost of the donut box, and d represents the cost of the donut, itself

Hence, the expression that represents the total cost is:

c + d

Read more about algebraic expressions at:

https://brainly.com/question/4344214

Answer:

C) v≤-5

Step-by-step explanation:

[tex]4v\leq -20[/tex]

Divide each side by 4,

[tex]v\leq -5[/tex]

Answer:

0.005 or A

Step-by-step explanation:

EDGE2022

Answer:

Its A

Step-by-step explanation:

Answer:

D. Divide 151 by 479

Step-by-step explanation:

Answer:

The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0:  proportion of fatal bicycle accidents in 2015 was the same for all days of the week

against the claim

Ha:  proportion of fatal bicycle accidents in 2015 was not the same for all days of the week

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (ni - npi)²/ npi

which has an approximate chi square distribution with ( n-1)=7-1=  6 d.f

4) The critical region is χ² ≥ χ² (0.05)6 = 12.59

5) Calculations:

χ²= ∑ (16- 14.28)²/14.28 + (12- 14.28)²/14.28 + (12- 14.28)²/14.28 + (13- 14.28)²/14.28 + (14- 14.28)²/14.28 + (15- 14.28)²/14.28 + (18- 14.28)²/14.28

χ²= 1/14.28 [ 2.938+ 5.1984 +5.1984+1.6384+0.0784 +1.6384+13.84]

χ²= 1/14.28[8.1364]

χ²= 0.569= 0.57

6) Conclusion:

The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

b. It is reasonable to conclude that the proportion of fatal bicycle accidents in 2015 was the same for all days of the week

Answer:

Please provide the statements.

Step-by-step explanation:

Answer:

the equation has one anser

Step-by-step explanation:

Answer:

A.

Elena can run 3 miles per hour.

Step-by-step explanation:

Given that:

a circular running track = 1/5 mile

On this track, Elena runs completing each of the laps in 1/15 of an hour

We are to find Elena running speed.

It implies that the distance of Elena = [tex]\dfrac{1}{5}[/tex]

Time to run each lap = [tex]\dfrac{1}{15} \ of \ an \ hour[/tex]

Speed is the amount of distance covered in a specified period of time.

Recall that the formula for calculating speed is:

[tex]Speed = \dfrac{distance}{time}[/tex]

[tex]Speed = \dfrac{\dfrac{1}{5}}{\dfrac{1}{15}}[/tex]

[tex]Speed ={\dfrac{1}{5}\times \dfrac{15}{1}[/tex]

Speed =  3miles / hour

As such, Elena can run 3 miles each hour.

Answer:

You didn't add any images maybe it was a mistake?

Step-by-step explanation:

Answer:

∠b = 68°

Step-by-step explanation:

Complementary angles are a pair of angles that, added together, equal 90°.

If ∠a = 22°, then the measure of∠b must equal 90° when added to that of ∠a.

To find the measure of ∠b, then, we can subtract ∠a from 90°.

90 - 22 = 68

The measure of ∠b, then, is 68°.

I hope this is helpful ^^

Good luck

Answer:

45

Step-by-step explanation:

Answer:

62 + 64 + 55 + s = 242

61 students will ride Bus #4.

Step-by-step explanation:

The equation I will use here is 62 + 64 + 55 + s = 242

62 + 64 + 55 + s = 242 {Going from left to right, subtract 62, 64, & 55 from 242}

64 + 55 + s = 180 {242 - 62 = 180}

55 + s = 116 {180 - 64 = 116}

s = 61 {116 - 55 = 61}

61 students will ride Bus #4.

Answer: $203

Step-by-step explanation: We first start out with the exponential decay model which is y=a(1-r)^t, then plug in the numbers of your problem:

-y=26,000(1-0.50)^7

-y=26,000*0.50^7

-y=26,000*0.0078125

-y=203.125

Then, after rounding to the nearest hundred dollars you get your answer....

:) hope this helped a bit

The value of the car 7 years after it was purchased will be $203.

A quantity lowers gradually at first during exponential decay before rapidly declining after that. Half-life may be calculated using the exponential decay formula, which is also used to estimate population decrease.

It is given that, A brand-new car costs $26,000 to buy, and every five years, its value decreases by 50%.

We have to find the value of the car 7 years after it was purchased

The exponential decay model, y=a(1-r)t, is where we begin. The data from your problem are then entered.

y=-26,000(1-0.50)^7

y=-26,000*0.50^7

y=-26,000*0.0078125

y=-203.125         (-ve shows the value is declining)

Thus, the car will be worth $203 seven years after it was bought.

Learn more about the exponential decay here:

brainly.com/question/14355665

#SPJ2

Answer:

512

Step-by-step explanation:

To find the volume of a rectangular prism you multiply the length × width × height

= 8 × 8 ×8

= 512

Answer:

d. 122 units^2

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  75.5

Step-by-step explanation:

There are two ways you can work this.

Pythagorean theorem

Triangle CMP is a right triangle. CM = AC = 55. CP = CB -PB = 55 -15 = 40. Then length PM can be found from ...

  PM² +CP² = CM²

  PM = √(CM² -CP²) = √(55² -40²) = √1425 ≈ 37.749

The length MN is twice the length of PM, so is ...

  MN = 2×PM = 2×37.349 = 75.498

The length of MN is about 75.5.

__

Using chord relationships

The products of the different lengths for the same chord are the same for the crossed chords.

  AP×PB = MP×PN

We know MP = PN, so ...

  MP = √(AP×PB) = √((55+40)(15)) = √1425

As before, MN = 2×MP = 2√1425

  MN ≈ 75.5

Answer:

y^3 + 7 - 15

Step-by-step explanation:

Answer:

Every class period is 43 minutes long.

Equation:

(m - 10) ÷ 4