can someone please tell me the answer thank you

Answer:

  5√3 ft/s

Step-by-step explanation:

Let h represent the horizontal distance of the kite from the person. Let s represent the string length. Then the Pythagorean theorem tells us ...

  s^2 = 100^2 + h^2

  2s·ds/dt = 0 + 2h·dh/dt

  ds/dt = (h/s)·dh/dt

So, we need to know the horizontal distance when s=200.

  200^2 = 100^2 + h^2

  40000 -10000 = h^2

  h = 100√3

Substituting known values into the equation for ds/dt, we have ...

  ds/dt = (100√3)/(200)(10 ft/s) = 5√3 ft/s

The string must be let out at 5√3 ft/s when it is already 200 ft long.

Answer:

2.5 mg

Step-by-step explanation:

.5 x 5 = 2.5

Answer:

Option B - There is at least some difference in the average times spent by the two groups in the mall.

Step-by-step explanation:

A null hypothesis is a hypothesis that states that there is no statistical significance between the two variables. Thus, It is usually the hypothesis that a researcher or experimenter will try to disprove or discredit. While an alternative hypothesis is one that states there is a statistically significant relationship between two variables.

Now, applying these definitions to the question, we can see that;

Null Hypothesis is;

H0; There is no difference in the average times spent by the two groups in the mall

While the alternative hypothesis is;

Ha; There is at least some difference in the average times spent by the two groups in the mall

Thus, correct answer is option B

Answer:

It is option b

Step-by-step explanation:

Answer: 136

Step-by-step explanation:

An= A1+(n-1)d

A1=16, d=8, and n=16

A16= 16 +(16-1)(8)

A16= 16(15)(8)

A16= 16+120

A16=136

Hey there! :)

Answer:

f(16) = 136 seats.

Step-by-step explanation:

This situation can be expressed as an explicit function where 'n' is the row number.

The question also states that the number of seats increases by 8. Use this in the equation:

f(n) = 16 + 8(n-1)

Solve for the number of seats in the 16th row by plugging in 16 for n:

f(16) = 16 + 8(16-1)

f(16) = 16 + 8(15)

f(16) = 16 + 120

f(16) = 136 seats.

Answer:

Step-by-step explanation:

It doesn't always work to choose the largest possible square first.

a. 15 = 9 + 4 + 1 + 1 = 3² +2² +1² +1²

b. 24 = 16 + 4 + 4 = 4² +2² +2²

c. 33 = 25 + 4 + 4 = 5² +2² +2²

d. 624 = 484 +100 +36 +4 = 22² +10² +6² +2²

Answer:

1. V = 15.95 (to 2 decimal places)

2. V = 107.23 (to 2 decimal places)

3. V = 560.25 (to 2 decimal places)

Step-by-step explanation:

1. y = ln 5x, y = 2, y = 3, x = 0; about the y-axis

Find volume using the disk method.

First find inverse of y=ln(5x)

5x = exp(y)

x(y)=exp(y)/5

Width of each strip = dy

length of each strip = x(y)

volume of each disk by rotation of strip about y=axis

dV = 2*pi*x(y)dy

total volume  

V = integral (dV) for y=2 to 3

= integral (2*pi*e^y/5) for y=2 to 3

= 2*pi*(e^y/5) for y=2 to 3

= 2pi(e^3-e^2)/5

= 15.95 (to 2 decimal places)

2. y2 = 2x, x = 2y; about the y-axis

Find point of intersection between  

solve y^2/2 = 2y  =>  y=4, x=2y=8, therefore

intersection is at (8,4), which is the upper integration limit

Using the disk method again

Volume of each disk

dV(y) = pi((2y)^2-(y^2/2)^2)dy

Total volume of solid  

V = integral(pi((2y)^2-(y^2/2)^2)dy) for y=0 to 4

= pi (4y^3/3 - y^5/20)  for y = 0,4

= pi (256/3 - 1024/20)

= 512pi/15

= 107.23 (to 2 decimal places)

3. y = x, y = 0, x = 2, x = 7; about x = 1

Use the shell method.

volume of each shell formed by roatation of a vertical strip about the axis of rotation (x=1)

dV = 2*pi*(x-1)*(y*dx)

Total volume of rotation

V = integral(2*pi*(x-1)*y dx for x=2 to 7

= 535pi/3

= 560.25 (to 2 decimal places)

Answer:

12 boys

Step-by-step explanation:

From the above question:

Number of boys = 3

Number of girls = 2

Boys: Girls

3:2

Let :

a = boys

b = girls

Hence, a : b = 3 : 2

a/b = 3/2  

Cross Multiply

2a = 3b .......... Equation 1

a = 3b/2

If four more girls join the class, there will be the same number of boys and girls

Hence,

a: b + 4 = 3 : 3

a/b + 4 = 3/3

Cross Multiply

3a = 3(b + 4)

3a = 3b + 12 ........ Equation (2)

From Equation 1: a = 3b/2

Substitute 3b/2 for a in Equation 2 we have:

3a = 3b + 12 .........Equation 2

3(3b/2) = 3b + 12

9b/2 = 3b + 12

Cross Multiply

9b = 2(3b + 12)

9b= 6b + 24

9b - 6b = 24

3b = 24

b = 8

Substitute 8 for b in Equation 1

a = 3b/2

a = 3 × 8/2

a = 24/2

a = 12

Therefore, the number of boys in the class is 12

Answer:

She can cut 122 pieces.

Step-by-step explanation:

She has 3 pieces of ribbon that are 25 yds long. In total, she has 75 yds, which is equal to 2700 in. Erika needs 22 in. pieces, so just divide 2700 by 22 to get your number.

2700/22 ≈ 122.72

Answer:

c = 730cm

Step-by-step explanation:

The first thing we would do is to draw the diagram using th given information.

Find attached the diagram.

a = 714 cm

the measure of angle A = 78°

To determine c, we would apply sine rule. This is because we know the opposite and we are to determine the hypotenuse

sin78 = opposite/hypotenuse

sin 78 = 714/c

c = 714/sin 78 = 714/0.9781

c= 729.99

c≅ 730 cm ( nearest cm)

Answer:

(a) 2 white & 1 red ball = 42 ways

(b) All 3 white balls =  4 ways

(c) All 3 red balls = 35 ways

Step-by-step explanation:

An urn contains 4 white balls and 7 red balls. Three balls are selected.

In how many ways can the 3 balls be drawn from a total of 11 ​balls:

​(a) If 2 balls are white and 1 is​ red?

The 2 white balls can be selected in ⁴C₂ ways

The 1 red ball can be selected in ⁷C₁ ways

2 white & 1 red ball = ⁴C₂ × ⁷C₁

2 white & 1 red ball = 6 × 7

2 white & 1 red ball = 42 ways

​(b) If all 3 balls are​ white?

The 3 white balls can be selected in ⁴C₃ ways

The 0 red ball can be selected in ⁷C₀ ways

All 3 white balls = ⁴C₃ × ⁷C₀

All 3 white balls =  4 × 1

All 3 white balls =  4 ways

​(c) If all 3 balls are​ red?

The 3 red balls can be selected in ⁷C₃ ways

The 0 white ball can be selected in ⁴C₀ ways

All 3 red balls = ⁷C₃ × ⁴C₀

All 3 red balls = 35 × 1

All 3 red balls = 35 ways

Answer:

x = -2.47, 0.47

Step-by-step explanation:

Easiest and quickest way to do this is to graph the quadratic and analyze for x-intercepts.

Alternatively, we have to use the Quadratic Formula because we cannot factor the expression.

Hey there!

You haven't provided any answer options but here's how you would solve a problem like this.

To find the number in between two numbers, you add it up and divide it by two!

So, what's between 1 and 3? Well you do 1+3 is 4 then divide by 2 you get 2!

100 and 580? You add them to get 680 then divide by two you get 340!

In between 0.57 and 0.69? Adding gives you 1.26 and then divide by two and we have 0.63!

And with percents, let's do 45% and 67%. You add you get 112% and then divide by two you have 56%!

So, with your answer options just add them up and divide by two and see which one gives you 76%!

I hope that this helps!

Answer:

This Statement is True.

Check Explanation for why it is true.

Step-by-step explanation:

The sampling distribution of sample means arises when random samples are drawn from the population distribution and their respective means are computed and put together to form a distribution. Hence, the curve of this sampling distribution of sample means will show how the sample means are distributed. Hence, this statement is true.

Hope this Helps!!!

Answer:

  -0.4

Step-by-step explanation:

Since x=4 is not a critical point, you can simply evaluate the function. You can do this in your head.

  (2√4 -6)/(9 -4) = (2·2 -6)/5 = -2/5 = -0.4

Answer:

0

Step-by-step explanation:

y = 3 × 6x

0 = 3 × 6x

0 = 18x

18x = 0

x = 0

Hope this helps! :)

Answer:

[tex] Conf= 0.80[/tex]

With the confidence level we can find the significance level:

[tex]\alpha =1-0.8=0.2[/tex]

And the value for [tex]\alpha/2=0.1[/tex]. Then we can use the normal standard distribution and we can find a quantile who accumulates 0.1 of the area on each tail and we got:

[tex] z_{\alpha/2}= \pm 1.28[/tex]

Step-by-step explanation:

For this problem we have the confidence level given

[tex] Conf= 0.80[/tex]

With the confidence level we can find the significance level:

[tex]\alpha =1-0.8=0.2[/tex]

And the value for [tex]\alpha/2=0.1[/tex]. Then we can use the normal standard distribution and we can find a quantile who accumulates 0.1 of the area on each tail and we got:

[tex] z_{\alpha/2}= \pm 1.28[/tex]

Answer:

50.6 m²

Step-by-step explanation:

The area of a rectangle is length × breadth.

9.96 × 5.08

= 50.5968

Rounding.

⇒ 50.60

⇒ 50.6

Answer: $12088.55

Step-by-step explanation:

A = p(1+r/n)^nt

A = 8000(1+0.07/2)^2*6

A = 12088.54926

Answer:

Hope this helps you

Answer:

32.38 square m

Step-by-step explanation:

Diameter of semicircle = 5 m

Hence, radius = 5/2 = 2.5 m

Area of figure = Area of rectangle - 2 times area of one semicircle

[tex] = l \times b - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = 10.4 \times 5 - \pi {r}^{2} \\ = 52 - 3.14 \times {(2.5)}^{2} \\ = 52 - 3.14 \times 6.25 \\ = 52 - 19.625 \\ = 32.375 \\ \approx 32.38 \: {m}^{2} \\ [/tex]

Replace x with 2 and solve:

2^2 + 4(2) = 4 + 8 = 12

Replace x with 3 and solve:

3^2 + 4(3) = 9 + 12 = 21

The difference between the two answers is : 21 -12 = 9

The difference between the two inputs is 3-2 = 1

The rate of change is the change in the answers I’ve the change in the inputs:

Rate of change = 9/1 = 9

Options :

(A.) y=558-273x (B.) y=264+142x (C.) y = 55.8 +2.79x (D.) y= -26.4-1.42x

Answer:

C.) ŷ = 2.79X + 55.8

Step-by-step explanation:

Given the data:

cost (x): 9 2 3 4 2 5 9 10

Number of products sold: 85 52 55 68 57 86 83 73

Using the online regression calculator to generate a linear regression plot of the given data: the model obtained is given below

ŷ = 2.79X + 55.8

With y being the predicted or dependent variable

Slope or gradient of the line = 2.79

X = the independent variable

55.8 = the intercept.

Answer:

The product of 5/ 12 and –420 should have been the value of x.

Answer: D

Step-by-step explanation:

Took the test

Answer:

The number of possible combinations of sports and instrument that Anja can select is 12.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

[tex]{n\choose k}=\frac{n!}{k!\cdot(n-k)!}[/tex]

It is said that Anja can choose one sport to play and one instrument to learn using the list below:

Sports: softball, basketball, tennis, or swimming

Instruments: guitar, piano, or clarinet​.

There 4 options for sports and 3 for an instrument.

Compute the number of ways to select one sport to play as follows:

[tex]n (S)={4\choose 1}=\frac{4!}{1!\cdot(4-1)!}=\frac{4!}{3!}=\frac{4\times3!}{3!}=4[/tex]

Compute the number of ways to select one instrument to learn as follows:

[tex]n(I)={3\choose 1}=\frac{3!}{1!\cdot(3-1)!}=\frac{3!}{2!}=\frac{3\times2!}{2!}=3[/tex]

Compute the number of possible combinations of sports and instrument that Anja can select as follows:

Total number of possible combinations = n (S) × n (I)

                                                                  [tex]=4\times 3\\=12[/tex]

Thus, the number of possible combinations of sports and instrument that Anja can select is 12.

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{14}{x} =14/x[/tex]

Thus, we can multiply both sides by x to get 14=0.  Because 14 does not equal 0, the equation has no solutions.  A value of x that makes the equation false is 541, which makes the simplified equation turn into 14=0.

Another value of x that makes the equation false is 7, which makes the simplified equation turn into 14=0.

Hope it helps <3

Answer:

5 4/5

Step-by-step explanation:

29 ÷ 5 = 5

29 - 25 = 4

Since 5x5 is 25 and we have 4 as a remainder we put it over the original denominator 5.

I really hope this helps.

29/5 as a mixed number is 5 and 4/5.

To convert the indecorous bit29/5 into a mixed number.

First, divide the numerator( 29) by the denominator( 5) and express the result as a whole number and a bit.

Now, 29 divided by 5 equals 5 with a remainder of 4.

The quotient( 5) becomes the whole number part of the mixed number, and the remainder( 4) becomes the numerator of the bit part, while the denominator remains the same.

Thus, 29/5 as a mixed number is 5 and 4/5.

Learn more about Mixed Fraction here:

https://brainly.com/question/29019463

#SPJ6

Answer:

Solution,

____________________________

Men ------------------------------ Days

_____________________________

In case of indirect proportion,

4/6= 6/X

or, 6*X= 6*4 ( cross multiplication)

or, 6x= 24

or, 6x/6= 24/6 ( dividing both sides by 6)

Hope this helps...

Good luck on your assignment..

Answer:

[tex]\boxed{4 days}[/tex]

Step-by-step explanation:

M1 = 4

D1 = 6

M2 = 6

D2 = x (we've to find this)

Since,  it is an inverse proportion (more man takes less days for the work to complete and vice versa), so we'll write it in the form of

M1 : M2 = D2 : D1

4 : 6 = x : 6

Product of Means = Product of Extremes

=> 6x = 4*6

=> 6x = 24

Dividing both sides by 6

=> x = 4 days

Answer:

2

Step-by-step explanation:

Answer:

I hope it will help you....