Question 8, 1.2.35-PS
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HW Score: 44.44%, 4
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If a ball is thrown into the air at 96 feet per second from the top of a 109-foot-tall building, its height can be modeled by the function S=109+961-162, where S is in feet and t is in seconds.
Complete parts a through e below.
a. Graph this function for t representing 0 to 8 seconds and S representing 0 to 300 feet. Choose the correct graph below.

The acute angle the ladder makes with the ground is 69.3 degrees.

The ladder is 5.1 m and it is leaning against a wall.

The wall is perpendicular to the ground.

This means the ground forms 90 degrees with the wall.

This situation forms a right angle triangle.

Therefore, the acute angle the ladder forms with the ground can be found as follows:

Using trigonometric ratios,

cos ∅ = adjacent / hypotenuse

where

∅ = acute angle

Therefore,

adjacent side = 1.8 m

hypotenuse side = 5.1 m

Hence,

cos ∅ = 1.8 / 5.1

∅ = cos⁻¹ 0.35294117647

∅ = 69.3326835065

∅ = 69.3°

Therefore, the acute angle the ladder makes with the ground is 69.3 degrees.

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Answer:

There are no sampling errors, as all numbers add up to 100, however, there is a bias, as the highest number is 52 for movies, and the person who conducted the survey was a movie theater manager to his own customers.

Using the Empirical Rule, it is found that:

a) About 95% of the organs will be between 250 and 350 grams.

b) 99.7% of organs weighs between 225 grams and 375 grams.

c) 84.15% of organs weighs less than 225 grams or more than 275 grams.

d) 0% of organs weight exactly 275 grams.

It states that, for a normally distributed random variable:

95% of the weights are within 2 standard deviations of the mean, hence:

About 95% of the organs will be between 250 and 350 grams.

For item b, the amounts are within 3 standard deviations of the mean, hence:

99.7% of organs weighs between 225 grams and 375 grams.

For item c, considering the symmetry of the normal distribution, we have that:

Hence:

84.15% of organs weighs less than 225 grams or more than 275 grams.

For item d, considering that the normal distribution is continuous, the percentage of an exact value is 0, hence:

0% of organs weight exactly 275 grams.

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Answer:

1.25

Step-by-step explanation:

you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25

Answer: 124 degrees

Step-by-step explanation:

JKL=YKL+JKY

10x+14=6x-6+64

10x+14=6x+58

4x+14=58

4x=44

x=11

JKL=10x+14

JKL=10(11)+14

JKL=110+14

JKL=124 degrees

Answer: 699 m^2

Step-by-step explanation:

If the fixed cost is GHC500, the total profit or loss of producing 100 units is GHC 0.

When the marginal cost (MC) equals the marginal revenue (MR), the company breaks even, and from that point, profit maximization starts.

When MR is more than MC, the tendency is for the firm to produce more and earn more profit, and when MR is less than MC, the firm produces fewer as it incurs losses.

The profit maximization level occurs where the MR and the MC are equal.

Total revenue = fixed cost + variable cost (MR x Units)

Total revenue = 500 + (100 x 250)

Total revenue = 500 + 25,000

Total revenue = GHC 25,500

Total profit or loss at 100 units = GHC0 (GHC25,500 - GHC25,500)

GHC

q (units)     0     20     40     60       80     100      120

MC        260  250   240   200    240     250     270

MR         410  350   300   250    270     250     300

Thus, if the fixed cost is GHC500, the total profit or loss of producing 100 units is GHC 0.

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The volume of blocks is 8n³ cm³ and volume of box is 216 n⁹ cm³.

According to the question we have been given that the

  side length of the cube shaped box = 6n³ cm

  side length of the cube shaped blocks = 2n cm

We need to find the volume of the box and the blocks.

The formula for the volume of cube is

                      V = (s)³ cubic units.

     where, s = side length of the cube

Now putting the required values in the above formula we get

  volume of box = (6n³)³ cm³

                         = 216 n⁹ cm³  

 volume of the blocks = (2n)³ cm³

                                   = 8n³ cm³

Hence the volume of blocks is 8n³ cm³ and volume of box is

216 n⁹ cm³.

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Answer: Racing $.50

Pinball $.75

Air Hockey $1.50

Answer:

C

Step-by-step explanation:

0.5 of a mile in 20 minutes

60/20=3

0.5*3=1.5

Correct answer is C

Answer:

-2n + 2

Step-by-step explanation:

They give you the X value which is 2

All you do is substitute

-2n + 2

Hope this helped

Experimental probability of Cindy scoring=0.375

Probability:

Probability is always a number between 0 and 1, where 0 means an event is impossible and 1 means an event is certain.

The probabilities in a probability model must sum to 1.

When the outcomes of an experiment are all equally likely, we can find the probability of an event by dividing the number of outcomes in the event by the total number of outcomes in the sample space for the experiment.

To find the probability of the union of two events, we add the probabilities of the two events and subtract the probability that both events occur simultaneously.

To find the probability of the union of two mutually exclusive events, we add the probabilities of each of the events.

The probability of the complement of an event is the difference between 1 and the probability that the event occurs.

In some probability problems, we need to use permutations and combinations to find the number of elements in events and sample spaces.

Formula :

probability of an event with equally likely outcomes : [tex]\frac{n( experimental-event )}{n(total no. of event )}[/tex]

Given :

Total no. of event =Cindy shoots a ball at a basket 40 times

experimental event = 15 times

[tex]P(E)= \frac{15}{40} \\P(E)=\frac{3}{8} \\P(E)= 0.375\\[/tex]

experimental probability of Cindy scoring=0.375

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Answer:

3

Step-by-step explanation:

9x-27=0

+27. +27

9x=27

x=3

Jess had a faster speed of 8 miles/hour

Given:

3 miles in 2/5 hour

4/5 miles in 1/10 hour

To find the quotient, we must switch to the inverse approach,

where 2/5 becomes 5/2 and 1/10 becomes 10/1.

For Eli:

A distance of 3 miles is covered in 2/5 of an hour.

3 miles equals 2/5*1

3 miles equals 2/5 hour

The inverse amount is multiplied as

3*5/2 miles = 1 hour.

7.5 miles

Eli moves at a 7.5 mph speed.

For Jess:

1/10 of a mile is covered in 4/5miles.

1/10 * 1 hour times 4/5 miles

1/10 hour equals 4/5 miles.

The inverse number is multiplied as follows: 4/5 * 10/1 = 1 hour.

40 miles at a speed of 5 miles per hour.

1 hour Equals 8 miles

Jess's speed is 8 miles per hour.

Hence, Jess had a faster speed of 8 miles per hour

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The number of miles she should run on Friday is 2 3/4 miles.

Given that, Leah is training to run a half marathon her goal training is to run 20 miles a week. she ran 3 1/2 miles on Monday 4 3/4 miles on Tuesday 5 miles on Wednesday and 4 miles on Thursday.

We need to find how many miles will she need to run on Friday in order to meet her goal.

Follow these steps to add mixed fractions:

Now, the number of miles she ran together from Monday to Thursday

=3 1/2 + 4 3/4 + 5 + 4 =(3+4+5+4)(1/2 + 3/4)

=16 (2/4 + 3/4)

=16 5/4

=17 1/4

Remaining miles = 20-17 1/4

=20-69/4

=(80-69)/4

=11/4

=2 3/4

Therefore, the number of miles she should run on Friday is 2 3/4 miles.

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The addition of the given expression "E = - 7g⁴ + 3g²h² - 11g⁴" and "F = 6g⁴ - 13g²h² + 8h⁴" is "- g⁴ - 10g²h² - 3g⁴"

E = - 7g⁴ + 3g²h² - 11g⁴

F = 6g⁴ - 13g²h² + 8h⁴

E + F = (- 7g⁴ + 3g²h² - 11g⁴) + (6g⁴ - 13g²h² + 8h⁴)

= - 7g⁴ + 3g²h² - 11g⁴ + 6g⁴ - 13g²h² + 8h⁴

= -7g⁴ + 6g⁴ + 3g²h² - 13g²h² - 11g⁴ + 8h⁴

= - g⁴ - 10g²h² - 3g⁴

Therefore, the addition of the given expression "E = - 7g⁴ + 3g²h² - 11g⁴" and "F = 6g⁴ - 13g²h² + 8h⁴" is "- g⁴ - 10g²h² - 3g⁴"

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By inspecting the denominator, the values of x cannot be solutions of the rational equation are x₁ = - 3 and x₂ = 2.  

A rational equation is an expression of the P(x) / Q(x), where P(x) and Q(x) are the equations of the numerator and the denominator functions. The rational equation becomes undefined for all x-values such that Q(x) = 0. Then, we must look up for all values of x such that:

x² + x - 6 = 0

x² + [3 + (- 2)] · x - 6 = 0

x² - 2 · x + 3 · x - 6 = 0

x · (x - 2) + 3 · (x - 2) = 0

(x + 3) · (x - 2) = 0

x₁ = - 3 ∨ x₂ = 2

The values of x cannot be solutions of the rational equation are x₁ = - 3 and x₂ = 2.  

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Answer:

The answer is c because if you multiply 3/5 and 3/10 by doing butterfligt

Answer:

Step-by-step explanation:

Cyndee invests $50,000 in accounts earning 3%, 5%, and 6% annually, for a total annual return of $2120. She puts twice as much in the first account as in the third. You want to know the amount invested in each account.

Let x represent the amount invested in the third account. Then 2x is the amount invested in the first account, and (50000 -3x) is the amount invested in the second account. The total return is ...

  0.03(2x) +0.05(50000 -3x) +0.06(x) = 2120

Simplifying the equation gives ...

  -0.03x +2500 = 2120

  380 = 0.03x . . . . . . . . . . add 0.03x-2120

  12,666 2/3 = x . . . . . . . divide by 0.03

  2x = 25,333 1/3

  50000 -3x = 12,000

Cyndee should invest 25,333.33 at 3%, $12,000 at 5%, and $12,666.67 at 6%.

Answer:

[tex](x-2)^2+(y+2)^2=14[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where:

Given equation:

[tex](x-7)^2+(y-7)^2=7[/tex]

Therefore:

Area of a circle

[tex]\sf A=\pi r^2[/tex]

where:

Therefore, the area of a circle with radius √7 is:

[tex]\implies \sf Area=\pi \left(\sqrt{7}\right)^2=7 \pi\:\:square\:units[/tex]

Therefore, a circle with twice the area would be:

[tex]\implies \sf Area = 2 \cdot 7 \pi = 14 \pi \:\: square\:units[/tex]

Therefore, its radius would be:

[tex]\begin{aligned}\implies \sf \pi r^2 & = \sf14 \pi\\\sf r^2 & = \sf 14\\\sf r & = \sf \sqrt{14}\end{aligned}[/tex]

So the equation of a circle with a center at (2, -2) and a radius of √14 is:

[tex]\implies (x-2)^2+(y-(-2))^2=\left(\sqrt{14}\right)^2[/tex]

[tex]\implies (x-2)^2+(y+2)^2=14[/tex]

Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

Answer:

C. 63/2

Step-by-step explanation:

[tex] \frac{9}{4} \times 14 \\ = \frac{9}{4} \times \frac{14}{1} \\ = \frac{9 \times 7}{2} = \frac{63}{2} \\ please \: if \: found \: helpful \: rate \: brainliest.[/tex]

The answer is 63/2

I got 100% on the test

I hope this helps!

Proof that this answer is correct and not fake

Answer:

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

Given 10 letters and we are looking for the number of 10-letter words.

This is about the permutation of 10:

Using linear functions, it is found that they have to buy 8 tickets for the costs to be the same.

A linear function is modeled by:

y = mx + b

In which:

For the functions in this problem, we consider that:

Hence the cost functions for Kiara and Donovon are given, respectively, by:

The costs will be the same when:

K(x) = D(x)

5 + 0.75x = 7 + 0.5x.

0.25x = 2

x = 2/0.25

x = 8.

They have to buy 8 tickets for the costs to be the same.

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-11 is the answer to this question

Answer:-11

Step-by-step explanation:

-15 + 4 = -11

'less than' corresponds to the < symbol, so the inequality is x<1.2. However, the weight cannot be negative or zero, so the inequality is 0<x<1.2.

In interval notation, this is (0, 1.2).

Answer:

other answer is right

Step-by-step explanation:

just answering so they can get brainliest:)