a hot air balloon at 1,400 feet descends at a rate of 75 feet per minute. Find the time it will take the hot hair balloon to reach the ground.

Answer:

The correct option is (c).

Step-by-step explanation:

The given expression is :

[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})[/tex]

We need to use the associative property to make it easier.

The associative property for multiplication is as follows :

[tex]A\times (B\times C)=(A\times B)\times C[/tex]

We have,

[tex]A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}[/tex]

[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}[/tex]

Hence, the correct option is (c).

Answer:

A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that [tex]n = 1012, \pi = \frac{374}{1012} = 0.3696[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}[/tex]

[tex]E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]

[tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]

A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

We have four copies of '2' and one copy of '5' multiplied together

This is the same as saying 2^4*5

=========================================

Explanation:

Divide 80 over the smallest prime factor, which is 2

80/2 = 40

Divide that result over 2

40/2 = 20

Keep going until you cannot divide by 2 anymore

20/2 = 10

10/2 = 5

We stop here because 5/2 isn't a whole number. We also stop here since 5 is prime. Circle all the primes that show up and you should have four copies of 2 and one copy of 5.

Therefore: 2*2*2*2*5 = 80

In shorthand, this condenses to 2^4*5 = 80

The factor tree is shown below. Other factor trees are possible.

Answer:

your answer is B

Step-by-step explanation:

Answer:

∠6 = 57°

Step-by-step explanation:

∠6 = 180° - 123° = 57°

Answer: 1230

Step-by-step explanation: 22 hours that's how much she will be studying in total till the seventh day

and 105 mins till the seventh day

so she will be studying 1230 in total so put 1230 at the blank

1230 is your answer

Answer:

Part B: 105

Step-by-step explanation:

15

15x2 =30

30x2 =60

60x2 =120

120x2 =240

240x2 =480

480x2 =960

960/60 =16 hours

I hope I helped!

It was not letting me add my answer for some reason, but my image is attached below. I hope this helped you.

Answer:

<2 = 133degrees

<1 = 135degrees

Step-by-step explanation:

From the diagram, the angle <2 and 47 are supplementary, hence;

<2 + 47 = 180

<2 = 180 - 47

<2 = 133degrees

To get <1;

47 = 1/2(<1 - 41)

47 * 2 = (<1 - 41)

94 = <1 - 41

<1 = 94 + 41

<1 = 135degrees

Answer: B

Step-by-step explanation:

Coterminal angles are angles in standard position with the same terminal side. For example, angles measuring 120° and – 240° are coterminal.

Answer:

R = -0.8908

R² = 0.7935

Step-by-step explanation:

Given the data:

X :

5

3

6

3

4

4

6

8

Y :

13

15

7

12

13

11

9

5

Using technology, we could obtain the correlation Coefficient (R) using the Pearson correlation Coefficient calculator :

R = -0.8908 ; This means that there is a strong negative relationship between x and y. That is, an increase in x will lead to a corresponding decrease in y and vice versa.

The Coefficient of determination (R²) ; is obtained by taking the squared value of R

R² = (-0.8908)² = 0.7935 ; This means that about 79.35% of the variation is y is explained by the regression line.

Answer:

$66

Step-by-step explanation:

Let the money that you started off with be called x.

You spend $62 on a game: x-62

You receive $50 for painting a fence: x-62+50 = x-12

You give $10 to your friend: x-12-10 = x-22

You have $44 left: x-22=44, x=44+22=66

Answer:

[tex]\text{Equation: }2\angle B+\angle B=90\\\angle A=60^{\circ},\\\angle B=30^{\circ}[/tex]

Step-by-step explanation:

Complimentary angles are angles that add up to 90 degrees. Therefore, we can write the following system of equations:

[tex]\begin{cases}\angle A=2\angle B,\\\angle A+\angle B=90\end{cases}[/tex]

Solving, we obtain the equation:

[tex]2\angle B+\angle B=90,\\3\angle B=90,\\\angle B=\boxed{30^{\circ}}[/tex]

Plugging this back in to our first equation, we get:

[tex]\angle A=2(30)=\boxed{60^{\circ}}[/tex]

Answer:

∠A = 60

∠B = 30

Complementary angles are angles that add up to 90 degrees, and the measure of ∠A is twice as much as ∠B

60 + 30 = 90

60 / 30 = 2

60 / 2 = 30

Step-by-step explanation:

The other answer is still correct, just thought I'd make it simpler.

Hope this helps!

Answer:

since in second quadrant cos θ is negative.

Cos θ=b/h=2/3

b=2

h=3

p=√(3²-2²)

p=√5

Now

Tan θ=p/b=√5/2

since in second quadrant tanθ is negative

so

Tanθ=-√5/2

b. - (sqrt 5)/2

In second Quadrant cos is negative

So

b=2 and h=3

Perpendicular

tanØ=-p/b =-√5/2

Answer:

b

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

The element a₁₂ represents the first row and second column which is 100. Then the correct option is B.

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

Record the data in a table with the rows representing the week and the columns representing the type of music.

The element a₁₂ represents the first row and second column which is 100. Then the correct option is B.

More about the histogram link is given below.

https://brainly.com/question/16819077

#SPJ2

Answer:

B

Step-by-step explanation:

this should be right

Answer:

[tex]y=\frac{4}{3}x + 4[/tex]

Step-by-step explanation:

I used the slope formula and slope-intercept form  y  =  m x  +  b  to find the equation.

Hope this helps:)

Answer:

119 cm

Step-by-step explanation:

20 - 3 = 17

(140/20)(17) = 119 cm

Answer:

16v

Step-by-step explanation:

3x + 11 = 4x - 5

11+5 = 4x -3x

x = 16

I hope im right!!

Answer:

2

Step-by-step explanation:

Answer:

you would make 400 each week

Step-by-step explanation:

9514 1404 393

Answer:

  2 11/12 yards

Step-by-step explanation:

Sometimes it works best to use improper fractions when multiplying mixed numbers and/or fractions.

  1/3(8 3/4) = 1/3(35/4) = 35/12 = 2 11/12

Carol will need 2 11/12 yards of the material for the dress.

Answer:

2 11/12 yards

Step-by-step explanation:

Answer:

44%

Step-by-step explanation:

P(>3) =

P(4 or 5 or 6) =

(20 + 30 + 38)/200 =

88/200 = 0.44 or 44%

Answer:

3.......................

Answer:

i'm not too sure about the other ones but i know that 2^5 (the third choice) is an answer

Answer:

I think the answer would be the third choice

Answer:

(-3,2)

Step-by-step explanation:

Answer:

A function is a mathematical relationship where all inputs must have exactly one output. If there is more then one output for one input, then the relationship is not a function.

x is most of the time the input and y the output for an equation:

y = 2x

of course the input and output could be any variable.

Step-by-step explanation:

Have a nice day!

Answer:

5 6/12 or 5 1/2

Step-by-step explanation: