Jennie is standing 52 km away from the Volcano and the volcano is 2.4 km high. Assuming Makayla and the base of the volcano are at the same elevation above sea level, what is the angle of elevation from Makayla to the top of the volcan??

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

[tex]6a + 2c = 124[/tex]

as equation 1,

and

[tex]3a + 5c = 100[/tex]

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

[tex]3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200[/tex]

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

[tex](6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5[/tex]

Now substitute c into equation 2.

[tex]3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5[/tex]

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

The domain of the function graphed in this problem is given as follows:

(-∞, -1) U (-1, ∞).

The vertical asymptote of the rational function graphed in this problem is given as follows:

x = -1.

Hence the function is defined for all real values except x = -1, meaning that the domain is given as follows:

(-∞, -1) U (-1, ∞).

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Answer:

16+3y=31

3y=31-16

3y=15

y=15/3

y=5

check.

16+3×5

=16+15

=31

Answer:

(3,2)

Step-by-step explanation:

Since both equations are equal to each others.

2x-4=-2x+8

2x+2x=8+4

4x=12

x=3

Substitute x = 3 in any given equations but I will substitute in the first equation.

y = 2(3)-4

y = 6-4

y = 2

Answer:

This system will have 1 solution

Step-by-step explanation:

A linear system that has exactly one solution is called a consistent independent system. Consistent means that the lines intersect and independent means that the lines are distinct. Linear systems composed of lines that have the same slope and the y-intercept are said to be consistent dependent systems.

Answer:

um.....

Step-by-step explanation:

Answer: 20.71 m

Step-by-step explanation:

Given

the length of the poles are 25m and 35 m

The length of the cable is 23 m

Suppose the distance between them is x

From the figure, apply Pythagoras theorem

[tex]\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m[/tex]

Distance between Poles is 20.71 m

Answer:

Step-by-step explanation:

0: -2

1: -4

2: -6

Answer:

2nd person

Step-by-step explanation:

The term second person is used to describe a clause or piece of text in which the author is not referring to himself or herself but is referring to the second person that is you. When people being addressed are referred to in a sentence, the nature of the sentence is second person.

Answer:

Step-by-step explanation:

6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height

Area of one triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                              = [tex]\frac{1}{2}\times 4\times 3[/tex]

                                              = 6 km²

Perimeter of the triangular base = (4 + 3 + 5)

                                                      = 12 km

Height of the triangular prism = 7 km

Surface area of the given triangular prism = 2(6) + (12)(7)

                                                                      = 12 + 84

                                                                      = 96 km²

7). Surface area of a rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = Width and h = Height

By substituting the values from the given question,

l = 9 in, b = 9 in, h = 4 in

Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)

                                                               = 2(81 + 36 + 36)

                                                               = 2(153)

                                                               = 306 in²                              

Answer:

5m + 9n + 46

Step-by-step explanation:

5m +10 +9n +36

(i did that by distributing from parenthesis)

5m + 9n + 46

(i just simplified by adding 10 and 36)

Answer:

[tex]CI =6.5 \± 1.09[/tex]

Step-by-step explanation:

Given

[tex]Data: 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7[/tex]

Required

Determine the 99% t-confidence interval

First, calculate the mean

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{4+ 5+ 7+ 5+ 8+ 7+ 5+ 9+10+ 5+ 6+ 7+ 2+ 11+ 6+ 3+ 2+ 11+ 10+ 7}{20}[/tex]

[tex]\bar x =\frac{130}{20}[/tex]

[tex]\bar x =6.5[/tex]

Calculate the standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)}{n}[/tex]

[tex]\sigma =\sqrt{\frac{(4-6.5)^2+ (5-6.5)^2+ ........+ (2-6.5)^2+ (11-6.5)^2+ (10-6.5)^2+ (7-6.5)^2}{20}}[/tex]

[tex]\sigma =\sqrt{\frac{143}{20}}[/tex]

[tex]\sigma =\sqrt{7.15}[/tex]

[tex]\sigma =2.67[/tex]

The z score for 99% confidence interval is:  2.576

The confidence interval  is calculated as:

[tex]CI =\bar x \± z * \frac{\sigma}{\sqrt n}[/tex]

[tex]CI =6.5 \± 2.576 * \frac{2.67}{\sqrt {40}}[/tex]

[tex]CI =6.5 \± 2.576 * \frac{2.67}{6.32}}[/tex]

[tex]CI =6.5 \± 1.09[/tex]

Answer:

a. [tex]12\sqrt{3}[/tex]

b. [tex]144\sqrt{3}[/tex]

c. [tex]24+24\sqrt{3}[/tex]

Step-by-step explanation:

This rectangle is made up of two 30-60-90 right triangles, which have special properties that are worth memorizing for the future. Please see the attached picture.

Using this information, we can deduce that the top and bottom sides are equal to [tex]12\sqrt{3}[/tex].

From the properties of a rectangle we know that the right side is 12.

The diagonal is equal to [tex]12*2=24[/tex].

We can find the area by doing [tex]{12*12\sqrt{3}=144\sqrt{3}[/tex],

And the perimeter is equal to [tex]12+12+12\sqrt{3}+12\sqrt{3} =24+24\sqrt{3}[/tex]

The likelihood of a U.S. Department of Justice challenge to the merger would depend on various factors, including market concentration, potential anticompetitive effects, and impact on consumer welfare. Without further information, it is difficult to determine definitively.

Determining whether the U.S. Department of Justice (DOJ) is likely to challenge a merger involves several factors, including market concentration and potential antitrust concerns. In this case, the firm with a 20 percent market share plans to acquire a firm with a 5 percent market share.

The DOJ is more likely to challenge a merger when it raises concerns about potential anticompetitive effects, such as creating or enhancing market power. Market concentration is a key factor in assessing antitrust issues. While a 25 percent combined market share may not necessarily trigger an automatic challenge, the DOJ will consider other factors as well.

To evaluate the likelihood of a challenge, the DOJ will assess the overall market structure, including the level of competition and the presence of other significant competitors. If the merger significantly increases concentration levels and reduces competition in the market, it may raise concerns for the DOJ.

Additionally, the DOJ will examine the potential impact on consumer welfare, pricing, and innovation. If the merger is likely to result in higher prices, reduced choices for consumers, or hinder innovation, it may trigger antitrust scrutiny.

Considering the limited information provided, it is challenging to definitively determine whether the DOJ would challenge the merger. However, a 25 percent combined market share might not necessarily be considered highly concentrated, especially if there are other significant competitors in the market. The DOJ's decision would depend on a comprehensive analysis of the specific market dynamics and the potential effects of the merger on competition and consumer welfare.

Ultimately, the likelihood of a DOJ challenge would require a more detailed examination of the specific market conditions, the potential impacts of the merger, and compliance with antitrust laws and regulations.

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Answer:

1.13

Step-by-step explanation:

The residual value when the price of jeans is $28.00 is -15.13

The equation of the line of best fit is:

y= -1.75x+92.13

When the price of jeans is $28.00, we have:

y= -1.75*28+92.13

Evaluate

y= 43.13

The residual value is then calculated as:

Residual = Actual - Observed

This gives

Residual = 28.00 - 43.13

Evaluate the difference

Residual = -15.13

Hence, the residual value when the price of jeans is $28.00 is -15.13

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Answer:

f(x)=x+1 ok

please mark me as brainlest

Answer:1/2

Step-by-step explanation:3/4 equals 75% but 1/2 equals 50%

the 1st, 2nd, and 3rd are correct

Answer:

The point estimate of the population mean is 164.7

Step-by-step explanation:

Given

[tex]n =10[/tex]

[tex]Data: 151\ 164\ 146\ 143\ 167\ 188\ 190\ 180\ 170\ 148[/tex]

Required

The point estimate of the mean

To do this, we simply calculate the sample mean using;

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{151 +164 +146 +143 +167 +188 +190 +180+170 +148}{10}[/tex]

[tex]\bar x =\frac{1647}{10}[/tex]

[tex]\bar x =164.7[/tex]

Answer: -10

Step-by-step explanation:

A negative number divided by a positive number is always going to be negative

Answer:

-10

Step-by-step explanation:

Because a negative number divided by a positive number is a negative number.

Answer:

1/2y > 22

Step-by-step explanation:

I think that's what you were asking, but I'm not sure

So the is more than tells you that you're going to use the greater than sign. and 1/2 of y is 1/2y because of means mulitiplication

hope this helps:)

Answer:

1/2y > 22  

Step-by-step explanation:

Write an equation for the number y:

1/2 of y is more than 22

1/2 * y is more than 22 ('of' equals multiply)

1/2y = more than 22 ('is' equals a equal sign)

1/2y > 22 ('more' is greater than and not greater than and equal since it doesn't state anything that it could acctually be equal to)  

1/2y > 22  

(You can solve for y if you need to find the value of the number)                      

Answer:

Hello your question has some missing part below is the missing part

The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were: Baltimore facility, Burlington facility Mean 52.5 Mean 39.7

Standard deviation 19.7 Standard Deviation 8.9Using this data, complete the following:

State your hypothesis and conduct a hypothesis testing using a significance of 0.10.

answer :  We will reject the Null hypothesis

Step-by-step explanation:

μ1 = mean working hours for Baltimore facility  

μ2 = mean working hours  for Burlington facility  

Hence the Hypothesis are :

H0 : μ1 = μ2

Ha : μ1  > μ2

Next:  Conduct a hypothesis testing

we will apply Z - testing attached below is the hypothesis testing

n1 = 145 , X1 = 52.5 , δ1 = 19.7  ( Baltimore )

n2 = 128, X2 = 39.7 , δ2 = 8.9 ( Burlington )

Given statement Sale Pricing Confusion solution is :- You should have been charged $2.88, not $9.

Let's break down the costs:

Ice Cream: $0.73

Sprinkles: $0.15

Water bottle: $2.00

The total cost of these three items would be:

$0.73 + $0.15 + $2.00 = $2.88

According to the prices you mentioned, you should have been charged $2.88, not $9. If the cashier told you that you owed $9, it's possible that there was an error in their calculations or that they included other items in your bill. It's best to clarify the discrepancy with the cashier and ask for an explanation or correction.

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Answer:

P ( x < 5050.5 ) ≈ 0.16104

Step-by-step explanation:

Total number of voters ( n ) = 10000

Before election : 5050 people preferred Candidate D ( k ) ≈ 50.1 %

Candidate D eventually wins with 51% of the votes

winning ( p ) = 0.51

Applying continuity correction formula

P ( x < 5050.5 ) ≈ 0.16104

attached below is the remaining part of the solution

Answer: It looks like this expression is 16+2 times 36, so the answer is 18 times 36 also 88, they are both equivalent

Answer:

x=76

Step-by-step explanation:

The two marked angles are alternate angles, which means they're equal.

Answer

76%

Step-by-step explanation:

I think its defiantly not 104 because its smaller than 90% and not 41% because that's to small same with 67% so it is 76%

Answer:

29

Step-by-step explanation:

[tex]\frac{9}{10} * \frac{32}{1} = \frac{288}{10} = 28.8[/tex]

Answer:

B

Step-by-step explanation:

Answer:

The daily interest rate on this account = 0.000109

Step-by-step explanation:

Given that,

Interest rate = 4% compounded daily

i.e

Interest is 4% per annum and it is compounded daily.

Now,

We know , 1 year = 365 days

and 1 year interest rate = 4% = [tex]\frac{4}{100}[/tex] = 0.04

So,

The daily interest rate = [tex]\frac{0.04}{365}[/tex] = 0.000109

∴ we get

The daily interest rate on this account = 0.000109

Answer:

-16

Step-by-step explanation:

(X + Y)

= (-3 + -5)

= -8

(X - Y)

= (-3 - -5)

= 2

Because  they're still in brackets in this form:

(-8) (2)

You multiply them both and you'll get the answer:

-16

hope this helped!