Area of triangle help

In the picture, there is a graph and table. It displays the graph of the function f. Option C is correct, As x approaches, they have different x- intercept and y-intercepts but the same end behavior∞.

Given that,

In the picture, there is a graph and table.

It displays the graph of the function f.

Which of the two statements compares the two functions correctly.

A. Their x- and y-intercepts are identical.

B. As x gets closer to, they exhibit the same x-intercept and end behavior∞.

C. As x approaches, they have different x- and y-intercepts but the same end behavior∞.

D. As x gets closer to, they exhibit the same y-intercept and end behavior∞.

So, from the given table and graph we get

Option C is correct.

Therefore, Option C is correct.

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Step-by-step explanation:

l = length

w = width

we know, the perimeter of our rectangle is

2×l + 2×w = 600

and that tells us

l + w = 300

l = 300 - w

the area of the rectangle is

A = l × w

so, we use the previous equation in this one :

A = (300 - w) × w = -w² + 300w

this is a quadratic equation that is opening down (negative initial factor).

so the vertex of this parabola is the maximum.

the x (or in our case w) coordinate of the vertex is

-b / 2a

a = -1

b = 300

so,

w = -300 / (2×-1) = -300/-2 = 150 ft

and l × w = 300

l = 300 - w = 300 - 150 = 150 ft.

the maximum area for 600 ft fence is a square with 150 ft side length.

The interest earned by Ryan is $131.44  and the interest earned by Brian is $32.86    .

In the question,

it is given that

amount deposited by Ryan = $775

time for which the amount is deposited = 4 years

rate at which the amount is deposited = 4.24%

So the simple interest = (p*r*t)/100

= (775 * 4.24*4 ) /100

= 13144/100

= 131.44

amount deposited by Brian = $775

time for which the amount is deposited = 1 years

rate at which the amount is deposited = 4.24%

So the simple interest = (p*r*t)/100

= (775 * 4.24 * 1 ) /100

= 3286/100

= 32.86

Therefore , the interest earned by Ryan is $131.44  and the interest earned by Brian is $32.86    .

The given question is incomplete , the complete question is

Ryan deposits $775 in an account that pays 4.24% simple interest for four years. Brian deposits $775 in an account that pays 4.24% simple interest for one year. Find the interest earned by both Ryan and Brian ?

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1)

white (w) marble

yellow (y) marble

green (g) marble

red (r) marble

Pw+Pw+Pg+Pr=1 (Eq. 1 )

w+y+g+r=12 (Eq. 2)

Answer: There are 12 marbles in the bag. SInce the question says the bag contains 12 marbles.

2)

a) Pw+Py = Pg

w + y = g (Eq. 3)

b) Pw = 10/40 = 1/4

If P = 1/4, if we have 12 marbles, P=3/12

Then, we know that we have 3 white marbles

Answer: There are 3 white marbles in the bag.

3) Pr = 1/5. Considering that 2 marbles were removed, we have 10 markles. The Pr=2/10.

Answer: Thus, we have 2 balls red.

4) From 12 marbles, we already know that 3 are white and 2 are red.

Then: 12-3-2= 7

Answer: 7 marbles are green or yellow.

5)

From question 4 , we know that;

y + g = 7

y = 7 - g (Eq. 4)

And from Eq. 3

w + y = g

3 + y = g

Substituing Eq. 4 in Eq. 3:

3 + 7 - g = g

10 = 2g

10/2 = g

g = 5

And:

y = 7 - g

y = 7-5

y = 2

The numeratiors are:

3 (Pw), 2 (Py), 5 (Pg)

5) 2 = yellow marbles

5 = green marbles

The value of x of angle ∠C is 66°.

So, the value of x:

As we can see that A is a straight angle. Then ∠BAC will be:

Now, we know that in △ABC, ∠A = 24° and ∠B = 90° (Given), then ∠C will be:

Therefore, the value of x of angle ∠C is 66°.

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In 193 selections at least 3 jacks occur.

To decide whether to use combination or permutation, we need to look at whether the order matters, as follows:

In the context of this problem, the order in which the cards are chosen is not important, hence a combination is used.

The number of combinations of x elements from a set of n elements is given according to the formula presented below.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

There are two cases in which at least 3 jacks occur, as follows, considering that a standard deck has 4 jacks:

Hence the number of ways to choose the cards is calculated as follows:

[tex]C_{4,3}C_{48,1} + C_{4,4} = 4(48) + 1 = 193[/tex]

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Answer:

∠ D ≈ 31.0°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan D = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{9}{15}[/tex] , then

∠ D = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{15}[/tex] ) ≈ 31.0° ( to the nearest tenth )

Answer:

15kg

Step-by-step explanation:

$60 divide by $4 kg

60/4=15

Answer:

x= -103/18

Step-by-step explanation:

1.distribute, 3+2(3x-1)=100/3(2-3)

3+6x-2=100/3 (2-3)

2

Subtract the numbers

3

Rearrange terms

4

Subtract the numbers

5

Multiply the numbers

6

Subtract

1

from both sides

7

Simplify

8

Divide both sides by the same factor

9

Simplify

Yoona will charge $20.75 to walk 8 dogs based on the trend of Yoona charges to walk dogs.

First, find the pattern in the amount that Yoona charges to walk each additional dog.

Additional cost to walk 2 dogs:

= 40 - 37.25

= $2.75

Additional cost to walk 3 dogs:

= 37.25 - 34.50

= $2.75

Additional cost to walk 4 dogs:

= 34.50 - 31.75

= $2.75

Every extra dog therefore leads to a fall in price by $2.75. For eight dogs, Yoona would charge:

= 40 - (7 x 2.75)

= 40 - 19.25

= $20.75

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Answer:

17a+10b

Step-by-step explanation:

hope this work have a nice day

Scarlett should sell more than ¼ of batch of ponchos to make the profit.

Given,

The revenue made by Scarlett from selling batch of ponchos, R = 20n

The expenses she incurs from producing a batch of ponchos, E = 10√n

The total profit, P = R - E

            = 20n - 10√n

Now,

Profit is earned when Revenue > Expenses

20n > 10√n

÷10   ÷10      

2n >  √n

(2n)² >  (√n)²

4n² > n

4n² - n > 0

n(4n - 1)> 0

n > 0    and     4n - 1 > 0

                            n >  1/4

That is, Scarlett should sell more than ¼ of batch of ponchos to make the profit.

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Word (C) zero describes the slope of the line of the given graph of the linear function.

So, we can infer from the provided graph that its equation is:

Which is also readable as:

Putting it into comparison with the slope-intercept form:

We will obtain a slope of 0.

Therefore, word (C) zero describes the slope of the line of the given graph of the linear function.

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The correct question is given below;

graph a linear function is shown.

Which word describes the slope of the line?

A. positive

B. negative

C. zero

D. undefined

Answer:

I think the answer is (3,10) sorry if I got this wrong!

Step-by-step explanation:

Answer:

[tex] = \frac{3}{5} \\ [/tex]

The balance in the account at the end of two years is $864.

The interest earned by Suki during that time is $64.

The initial principal amount "P" is $800.

The interest rate "R" is 4%.

The interest is compounded quarterly.

This means the value of "n" is 4.

The time period for which the interest is earned is 2 years.

The formula for compound interest is :

A = P*[1 + (R/n)]^(n*t)

A = 800*[1 + (0.04/4)]^(4*2)

A = 800*[1 + 0.01]^(4*2)

A = 800*[1.01]^(8)

A = 800*1.08

A = 864

The total interest earned is the final amount minus the principal amount.

The total interest earned is $864 - $800.

The total interest earned is $64.

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think of all the things s you like

The cost or unit price for purchasing each pair of work gloves is $1.19.

The cost of 7 dozen pairs of padded work gloves purchased by the contractor is $99.96.

The incorrect unit price calculated by the contractor is $14.28 per pair.

Now, we know 1 dozen is equal to 12 units.

Therefore,

The number of pairs of gloves purchased = 7 × 12 = 84

As the total cost is $99.96, the cost of each pair will be:

= $99.96 ÷ 84

= $1.19

The error by the contractor was that she didn't consider the word dozen in his calculation. She simply divided the total cost by 7 to calculate the price per pair.

The unit price of purchasing each pair of work gloves is $1.19.

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Answer:

4x and 3z are the only 2 terms in this esxpression.

Answer:

a. Actual size: 20 m x 15m

b. 1,000,000 : 1

Step-by-step explanation:

(a) Since scale is 1:1000, multiply both length and width on the floor pan to get actual length and width of house

a. Actual size

= 2 x 1000 cm x 1.5 x 1000 cm

= 2000 cm x 1500 cm

= 20m x 15m (since 1 m = 100 cm

(b) Area on plan = 2 x 1.5 = 3 cm²

Actual area = 2000 x 1500 = 3,000,000 cm²

Ratio of actual area to floor plan area
= 3,000,000 / 3 = 1,000,000 : 1

Answer:

148              

Step-by-step explanation:

The triangle are similar because the angle measurements are the same.  

180-51-34 = 95

180-95-51 = 34

If we match up the corresponding sides we see that the side with 45 corresponds to the side with 36.  Now we need to find the scale factor.

Let s = the scale factor

45s = 36  Divide both sides by 45

s = .8

This means that the corresponding length of the triangle on the right is .8 of the triangle on the left.

The corresponding side to x is 79, so 79 x .8 = 63.2.  Now that we know the three sides we can add them together to find the perimeter.

63.2 + 36 + 48.8 = 148

Answer:

Perimeter = 147.9

hope this helps!

The solution of the inequality - 9 + 7x < 47 will be;

⇒ x < 8

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is;

⇒ - 9 + 7x < 47

Now, Solve the expression as;

The inequality is;

⇒ - 9 + 7x < 47

Solve as;

⇒ - 9 + 7x < 47

Add 9 both side;

⇒ - 9 + 7x + 9 < 47 + 9

⇒ 7x < 56

Divide by 7, we get;

⇒ 7x/7 < 56/7

⇒ x < 8

Therefore, The solution of the inequality - 9 + 7x < 47 will be;

⇒ x < 8

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Using exponent properties, we can rewrite the expression using a single whole-number exponent as:

(0.25³)⁵  = 0.25¹⁵

Here we have the numerical expression:

(0.25³)⁵

Here we need to use the exponent property:

(xᵃ)ᵇ = xᵃ*ᵇ

Using that in our expression, we will get:

(0.25³)⁵ = 0.25³*⁵ = 0.25¹⁵

So we already have a single whole-number exponent, we can also rewrite:

0.25¹⁵ = (1/4)¹⁵

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At the unit rate of reading 93.5 books in 8.5 months, Annarose expects to read 132 books annually.

The unit rate is the ratio or speed that Annarose reads books.

From her established unit reading rate, she reads 11 books in a month.

The unit rate is computed by ensuring that the denominator becomes 1 after the division operation.

The number of books she read in 8.5 months = 93.5 books.

The number of books she can read in 1 month = 11 books (93.5/8.5).

The number of books she can read in 12 months = 132 books (11 x 12).

Thus, given Annarose's reading unit rate, she expects to read 132 books annually, at an average of 11 books every month.

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Answer:

the first one took it on egde

Step-by-step explanation:

The correlation coefficient between the number of volunteers x and the number of bags of trash collected y, so the percentage of variation in the number of bags of trash collected is 92.92 %.

You may gauge how closely two variables are related by looking at their correlation coefficients. Pearson's correlation coefficient is the most often used of the several correlation coefficient types. Often employed in linear regression, Pearson's correlation (also known as Pearson's R) is a correlation coefficient. It's likely that you'll learn about Pearson's R first if you're just getting started in statistics. Actually, Pearson's is typically mentioned when someone mentions the correlation coefficient.

According to the question,

The correlation coefficient i.e., r between x and y is 0.964.

r = 0.964

Squaring on both sides :

r² = 0.964²

r² = 0.9292

Now, convert this into percentage form by multiplying it will 100.

⇒0.9292 × 100

= 92.92 %.

Hence, the percentage of the variation will be 92.92 %.

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The value of x in the equation given is x = -4.4

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario.

In this case, the value will be expressed by subtracting the variables that are given in order to get the other term. This will be:

2x + 4 = -3x - 18

Collect like terms

2x + 3x = -18 - 4.

5x = -22

Divide

x = -22 / 5

x = -4.4

This illustrates the concept of equations.

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Hey there!

[tex]-5x > 2(x-14)[/tex]

Our first step is to simplify both sides of the inequality:

[tex]-5x > 2x-28[/tex]

Now, we need to subtract 2x from both sides:

[tex]-5x-2x > 2x-28-2x\\-7x < -28[/tex]

Our final step is to divide both sides by -7:

[tex]\frac{-7x}{-7} > \frac{-28}{-7}[/tex]

[tex]x < 4[/tex]

Hope this helps!