The roof support on Lamar's house is in the shape of an isosceles triangle with base angles of 38°. Find x .

Answer:

1)  y = 6

2) Paul has 20 quarters

Step-by-step explanation:

Answer:

50 red apples

Step-by-step explanation:

If the ratio is 2:5

20 tomatoes ( 2 ratio)

20 ÷ 2 = 10 ( 1 ratio)

5 x 10 = 50 (5 ratio)

then there would be 50 red apples.

(o´▽`o)ﾉ x

Answer:

50 red apples

Step-by-step explanation:

the 2 part of the ratio applies to tomatoes of which there are 20, then

20 ÷ 2 = 10 ← value of 1 part of the ratio, then

5 parts = 5 × 10 = 50 red apples

The equation of the circle with radius 7 and center at (-4 , -6) is (x + 4)^2 + (y + 6)^2 = 49.

The general form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (-4 , -6)

r = 7

(x - -4)^2 + (y - -6)^2 = 7^2

(x + 4)^2 + (y + 6)^2 = 49

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Answer: coordinates would be 0,1 and 3,-3

Step-by-step explanation:

Answer: 216, 36, 6, 1, 1/6, ...

Step-by-step explanation:

216, 36, 6, ...

[tex]b_1=216\\b_2=36\\b_3=6\\\displaystyle\\q=\frac{b_2}{b_1} \\\\q=\frac{36}{216} \\\\q=\frac{1}{6} \\\\q=\frac{b_3}{b_2} \\\\q=\frac{6}{36} \\\\q=\frac{1}{6} \\\\Hence,\\\\b_n=b_1q^{n-1}\\\\b_5=216*(\frac{1}{6})^{5-1}\\\\b_5=216*(\frac{1}{6} )^4\\\\b_5=216*\frac{1}{6^4}\\\\b_5=6^3 *\frac{1}{6^4} \\\\b_5=\frac{6^3}{6^4} \\\\b_5=6^{3-4}\\\\b_5=6^{-1}\\\\b_5=\frac{1}{6}[/tex]

Answer:

The value would be 100

Step-by-step explanation:

Answer:

hii

Step-by-step explanation:

18.75 answer

is

correct

The infinite geometric series has the general form a1 + a1r + a1r² + a1r³ +…, where r is the common ratio and a1 is the first term. The common ratio of the geometric sequence 64, 48, 36,.... is 3/4.

The result of an endless geometric sequence exists an infinite geometric series. There would be no conclusion to this series. There would be no conclusion to this series. The infinite geometric series has the general form a1 + a1r + a1r² + a1r³ +…, where r is the common ratio and a1 is the first term.

The equation be S = a1/(1-r), where s is the total, a1 is the series's first term, and r is the common ratio, is a general formula for calculating the sum of an infinite geometric series. The formula a2/a1, where a2 is the second term in the series and a1 is the first term in the series, can be used to determine the common ratio.

Given: a1 = 64 and a2 = 48

The common ratio(r) is:

r = a2/a1 = 48/64

r = 6/8 = 3/4

Therefore, the common ratio of the geometric sequence 64, 48, 36,.... is 3/4.

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Answer: 97.7 F 32.54 F

Step-by-step explanation:

So the equation to go from Celsius to Fahrenheit is 9/5(C)+32

So it would be 9/5(36.5)+32=97.7 F

And 9/5(0.3)+32=32.54 F

The new mean is 97.7 F and new standard deviation is 32.54 C.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The average degree of variability in your data set is represented by the standard deviation. It reveals the average deviation of each score from the mean.

Given:

Mean = 36.5 C

Standard deviation = 0.3 C

Now, converting Celsius to Fahrenheit as

= 9/5(C)+32

So, the new mean is

=9/5(36.5)+32

=97.7 F

and, new standard deviation is

= 9/5(0.3)+32

=32.54 F

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Answer:

576 feet

Step-by-step explanation:

The bee is at the flowerbed for 11 minutes so we can subtract that form the 15 minutes. The bee travels for 4 minutes.

So now we have that it flew to the flowerbed at 6 feet per second and back at 4 feet per second.

We have a total of 4 minutes or 240 seconds. we now have two speeds where one is 50% faster than the other. We then find the two percents that one is 50% greater than the other percent and both add up to 100. 40% +50% of 40% is 60. 60%+40% is 100%

We know it spent 40% of 240 seconds flying to the flowerbed at 6 feet per second.

40% of 240 is 96

96 seconds at 6 feet per second is 576 feet

Answer:it

Step-by-step explanation:

it should be 10 i think

Let's say 125 / 5

5 can't go into 1 so we move on to 12(if it doesn't work for twelve you move on to the next number). 5 goes into 12 twice because 5*2=10.

So the first number to our answer is 2 and we do 12-10=2. Then we bring down the 5 in 125 to make 25(from 12-10=2).

Since we are dividing by 5, 5 goes into 25 five times, so the next number to our answer is 5. 25-25=0 which means we can't divide by 5 any further so our answer is 25.

I think it's confusing but just for the points :)

Answer:  20 feet

Step-by-step explanation:

The scale is 3 inches to is to 2 feet

As a ratio, it would be:

The question is what is the actual length of the stage if the drawing is 30 inches. All we need to do is find a ratio proportional to the scale ratio:

Now to find the missing number, cross multiply the fractions first:

Then solve for x:

The answer is 20 feet

1. Average rate of change = -1/3

2. Average rate of change = 4/3

Average rate of change = change in y /change in x.

1. Average rate of change from x = 1 to x = 4

When x = 1, y = 5

When x = 4, y = 4

Average rate of change = (4 - 5)/(4 - 1)

Average rate of change = -1/3

2. Average rate of change from x = 2 to x = 5

When x = 2, y = 3

When x = 5, y = 7

Average rate of change = (7 - 3)/(5 - 2)

Average rate of change = 4/3

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The 20th term of the given geometric sequence, 3, 12, 48, 192, . . . , is 8.246337208 x 10^11.

A geometric sequence refers to a sequence of numbers, which the next term is obtained by multiplying the previous term with a constant, called a ratio.

a(n) = a r^(n-1)

Where:

a(n) = nth term

r = ratio

Given the geometric sequence 3, 12, 48, 192, . . .

Find the ratio,

r = a(n)/a(n-1)

r = a(2)/a(1)

r = 12/3

r = 4

Notice that the ratio between two succeeding terms is always 4.

Use the formula to find the 20th term of the geometric sequence.

a(20) = a r^(20-1)

a(20) = 3[4^(20-1)]

a(20) = 3(4^19)

a(20) = 8.246337208 x 10^11

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The diameter of the trunk of a tree is 5 times larger than the diameter of the trunk of a bush.

Given data

diameter of the trunk of a bush is 7.62 × 10^-2 meter

diameter of the trunk of a tree is 3.81 × 10^–1 meter

To achieve the comparison we divide the diameter of the trunk of a tree with the  diameter of the trunk of a bush, as follows:

= 3.81 × 10^–1 meter ÷  7.62 × 10^-2 meter

= 5

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The correct option out of all these is option B: Econometrics.

Now to clear our confusion further, we will look at the basic definitions of these concepts,

A confidence interval in statistics is the probability that a population parameter falls within a range of values ​​for a specified percentage of the time.

Variance and standard deviation are very different measures from the mean, so we expect to see significant differences in how they are estimated.

Econometrics is a statistical and mathematical analysis of economic relations and is often the basis for economic forecasting. Governments may use such information to set economic policies and private companies to support pricing, inventory, and production decisions. However, economists mainly use it to study relationships between economic variables.

So, option B is Correct Econometrics.

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Answer:

x = 3.6

Step-by-step explanation:

since the 2 figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{AD}{EH}[/tex] = [tex]\frac{AB}{EF}[/tex] ( substitute values )

[tex]\frac{x}{2.4}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

2x = 7.2 ( divide both sides by 2 )

x = 3.6

Answer:

There is nothing to answer.

Given the area, the equation that Noor should use to determine the width of pen is x² + 3x = 70.

The length and width of the rectangular pen are 10m and 7m respectively.

The area of a rectangle is expressed as;

A = l × w

Where l is length and w is width.

Given the data in the question;

Let the width of the rectangular pen be 'x'

To determine the equation that Noor will use to find the width of the pen, plug the values into the equation above.

A = l × w

70 = (x+3) × x

70 = x² + 3x

x² + 3x = 70

We can go further and solve for the width of the pen.

x² + 3x = 70

x² + 3x - 70 = 0

Factor sing AC method; find two integer whose addition gives 3 and multiplication gives -70.

-7 and 10

(x-7) (x+10) = 0

x - 7 = 0, x + 10 = 0

x = 7, x = -10

But the dimension of the width can not be negative.

Hence

x = 7

Width = x = 7m

Length x + 3 = 7 + 3 = 10m

Given the area, the equation that Noor should use to determine the width of pen is x² + 3x = 70.

The length and width of the rectangular pen are 10m and 7m respectively.

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The simplified form of the expression (( 1 + 1/3 )² - 2/9) is 14/9.

Given the expression in the question;

( 1 + 1/3 )² - 2/9

Add the two terms inside the parenthesis

( (3+1)/3 )² - 2/9

( 4/3 )² - 2/9

Apply product rule to 4/3

4²/3² - 2/9

Raise 4 and 3 to the power of 2

16/9 - 2/9

Combine the numerators over common denominator

( 16 - 2 ) / 9

14/9

Therefore, the simplified form of the expression (( 1 + 1/3 )² - 2/9) is 14/9.

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The slope of the line that passes through the given points,

(1,3) and (6,1)= -0.4

How slope is calculated?

              [tex]\text{slope of a line between }(x_{1} ,y_{1} ) \text{ and } (x_{2} ,y_{2})=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

             [tex]\text{slope of a line between }(1,3 ) \text{ and } (6,1)=\frac{1-3}{6-1}=-\frac{2}{5}=-0.4[/tex]

What is a slope?

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 The complete expression of the given quadratic function is:

x² + 14x + 49

   An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

   To solve this problem we must complete square in the expression, it is necessary to note that perfect square trinomial has the form of:

(a + b)² = a² + 2ab + b²

x² + 14x + ?

where:

Substitute and find b

14x = 2xb

2b = 14

b = 7

   Let's complete the square

x² + 14x + 7²

x² + 14x + 49  

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Answer:

276

Step-by-step explanation:

so since there is 3 section we know that it will be the same answer for the three sections then if it's 8 rows with 8 in each it would be 8x8=64 then since it's three sections 64 x 3= 192 that's the total of band then you repeat the process with dancers with will give you the total of 276

The given sequence  100,10,1,0.1, ........... does not form an AP as the common difference is not same.

In Arithmetic Progression, the difference between two mathematical orders is a fixed number (AP). Arithmetic Sequence is another name for it.

We'd come across a few key concepts in AP that had been labeled as:

As shown below, the AP can also be referred to in terms of common differences.

Now, the stated sequence is;  100,10,1,0.1, ...........

The series comprises of four defined terms.

Consider the initial term be 'a₁' = 100.

Consider the second term be 'a₂' = 10.

Consider the third term be 'a₃' = 1.

And, consider the fourth term is 'a₄' = 0.1.

The AP must have the equal common difference. So,

d₁ = a₃ - a₂

Substitute the values.

d₁ = 1 - 10

d₁ = -9

Thus, the computed common difference is -9.

or d₂ = a₄ - a₃ (Substitute the values)

d₂ = 0.1 - 1

d₂ = -0.9.

As, for the result it is clear that the value of both common difference is not same. That is,

d₁ ≠ d₂.

Therefore, the given sequence doesn't not form an arithmetic sequence.

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The first five terms of an arithmetic sequence with first term 3 and common difference 7 are 3, 10, 17, 24, 31

The given parameters:

a₁ = 3, d = 7

d is the common difference, hence, the given sequence is an arithmetic sequence.

In an arithmetic sequence, the formula for the nth term is given by:

      a(n) = a(1) + (n - 1) . d

We can also find the terms using recursive formula. The nth term of an arithmetic sequence is equal to the (n-1)th term plus the common difference, d. Mathematically,

      a(n) = a(n -1) + d

Let us start from n = 1

a(1) = 3  (given)

a(2) = a(1) + d = 3 + 7 = 10

a(3) = a(2) + d = 10 + 7 = 17

a(4) = a(3) + d = 17 + 7 = 24

a(5) = a(4) + d = 24 + 7 = 31

Thus, the first five terms are 3, 10, 17, 24, 31

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Answer:

7

Step-by-step explanation:

If he made 6 in the first game and 34 total, then we cant subtract 34 from 6 to find how many he made in the 4 remaining games.

34 - 6 = 28

Now simply divide 28 by 4 to figure out how much he made in each game

28 / 4 = 7