What are the missing statement and reason in step 2 of the proof?

The first step in simplifying the expression is to expand it.

we have multiped each term in (5v + 4) by 2. Further simplification gives

Hence,

ø= 20°

Adj = 24

Hyp = x

Cos ø = Adj/Hyp

Hyp = Adj/ Cos ø

x = 24/ cos 20

x= 24/0.9397

x= 25.5 to the nearest tenth

Answer:

24″ width, 12″ length. Let the length be X inches, then width is 2X inches, giving perimeter 2(X+2X)=6X inches, which is 72″. hence X, length =12″, and width 24″. The perimeter of a rectangle is 64 m.

Step-by-step explanation:

There ya go,

Answer:

36

Step-by-step explanation:

72 divided by four because its perimeter and you get 18 on each side since the width is double then you would do 18x2 and get 36.

Answer:

no its not since some dots are above each other and fail the vertical line test

Hope This Helps!!!

Answer:

no the x value repeat

Step-by-step explanation:

Answer:

1. 7x

2. 8x - 1

3. 12 + 6x

4. 4 - 7x

5. 13x - 7

Step-by-step explanation:

Answer:

414

Step-by-step explanation:

312+352+480+392+368+352+416+640 divided by 8 = 414

Let's assume the number of cookies Lily bought is represented by "C," and the number of brownies is represented by "B."

According to the problem, the cost of one cookie is $2, and the cost of one brownie is $3. Lily spent a total of $144.

We can set up two equations based on the given information:

C + B = 60 (equation 1, representing the total number of sweets)

2C + 3B = 144 (equation 2, representing the total cost in dollars)

To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.

From equation 1, we can rewrite it as C = 60 - B.

Now substitute this value of C in equation 2:

2(60 - B) + 3B = 144

Simplify the equation:

120 - 2B + 3B = 144

Combine like terms:

120 + B = 144

Subtract 120 from both sides:

B = 144 - 120

B = 24

Now substitute the value of B back into equation 1 to find C:

C + 24 = 60

C = 60 - 24

C = 36

Therefore, Lily bought 36 cookies and 24 brownies.

Theres always 180 degrees in a flat line angle thingy you need answers fast so im not looking up what its called but 180-125=55 and then you 55-1=54 then 54/3=18!!!!!

Answer: If you minus it the answer is -0.488692191 rad

I think

Step-by-step explanation:

How do you find the second of an angle?

The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.

These are my opinion

Answer:

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

Step-by-step explanation:

Suppose that, in the past, 40% of all adults favored capital punishment. Test if the proportion has increased:

At the null hypothesis, we test if the proportion is still of 40%, that is:

\(H_0: p = 0.4\)

At the alternative hypothesis, we test if the proportion has increased, that is, is greater than 40%, so:

\(H_1: p > 0.4\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that \(\mu = 0.4, \sigma = \sqrt{0.4*0.6}\)

Random sample of 15 adults, 8 favor capital punishment.

This means that \(n = 15, X = \frac{8}{15} = 0.5333\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.5333 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{15}}}\)

\(z = 1.05\)

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion of 0.5333 or more, which is 1 subtracted by the p-value of z = 1.05.

Looking at the z-table, z = 1.05 has a p-value of 0.8531.

1 - 0.8531 = 0.1469.

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

Answer:

it is 5xy........................

Answer:

so X x 5 x y

that would equal 5xy

hope this helped

Step-by-step explanation:

Answer: y = 5

Step-by-step explanation: We'll put Harry's name as y to match the equation below. Without looking at the written equations we can find the same thing from the words: Sam is 5 times y's (Harry's) age. 5y. He is also 10 + (more) than 3 times y's (Harry's) age. 10 + 3y. Since these are two different ways to show the same persons age, we can make them equal to each other

5y=10+3y. We first need y only on one side so we will subtract 3y from both.

5y - 3y and 10 + 3y- 3y. This leaves us with 2y = 10. We then divide by 2 to have y by itself. 2y/2 and 10/2. Our answer from this is y = 5.

Answer:...

Step-by-step explanation:

Answer:

\(115 \dfrac{1}{2}\:cm^3\)

Step-by-step explanation:

The volume of a rectangular prism is the product of each of the sides of the prism

Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)

the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)

To perform this multiplication, convert mixed fractions to improper fractions first

Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)

\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)

\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)

Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)

\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)

Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)

Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder

\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)

\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)

Hello

We are given a log funtion to solve and see if it have a solution.

Step 1

we apply log rules

Step 2

Solve for x

From the calculation above, the solution of the set is 13; i.e x = 13

Answer:

vbnmnbv nbbnmbnmvbr

Step-by-step explanation:

1)

The axis of symmetry is x = -6.

2)

Vertex is (-6, 26).

3)

f(x) has a maximum value.

4)

f(x) is concave down.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

f(x) = -x² - 12x - 10

This is in the form of ax² + bx + c.

a = -1, b = -12, c = -10

The axis of symmetry is x = -b/2a

x = 12/(-2)

x = -6

Now,

f(x) = -x² - 12x - 10

f(x) = -(x² + 12x + 10)

f(x) = - { (x² + 12x + 36) - 36 + 10}

f(x) = -(x + 6)² + 26

This is in the form of f(x) = a (x - h)² + k

a = -1, h = -6, k = 26

Vertex = (h, k) = (-6, 26)

Now,

f(x) = -x² - 12x - 10

f'(x) = -2x - 12

f''(x) = -2

It is a negative value.

This means f(x) has a maximum value.

Now,

From the graph, we see that f(x) is concave down.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

for more questions on series

https://brainly.com/question/24295771

#SPJ8

Answer:

8

Step-by-step explanation:

35-3×9=35-27

=8

Hope this helps!!!

Answer:

\(\frac{8^x}{2^y} 2y=2x^{12}\)

Step-by-step explanation:

Since the numerator and denominator have a common base, this expression can be rewritten as 2(3x−y).

substitute 12 for the exponent, 3x−y and you will get A

Answer:

The answer is A \(2^{12}\)

Step-by-step explanation:

Since 2 and 8 are both powers of 2, substituting 23 for 8 in the numerator of  

\(\frac{8x}{2y}\)

gives you

\(\frac{8x}{2y} 2y=2x^{12}\)

Answer:

D. x = 5; x = -5

Step-by-step explanation:

x^2 - 25 = 0

Add 25 to each side

x^2 - 25+25 = 0+25

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = ±5

Answer:

3125

Step-by-step explanation:

25^3 = 15625

15625/5=

3125

Answer: B, D, and F

Step-by-step explanation:

        When points are collinear, it means they are all on a single line.

        View the attachments for all my work. I can only add up to five, but answer option E is similar to A and C.

Answer:

The data given is  

    235,000 271,900 183,300 203,000 182,900 225,500 189,000 214,200 237,900 233,500 217,000 230,400 202,950, 216,500 209,900, 245,500

  The sample size is  n =  16

   The population is  \(\mu  =  \$201,800\)

  The sample mean is mathematically represented as

             \(\= x =\frac{\sum x_i}{n}\)

=>  \(\= x  =\frac{235,000 + 271,900 + \cdots + 245,500 }{16}\)

=>    \(\= x  = 218653.125\)

Generally the sample standard deviation is mathematically represented as

     \(s =  \sqrt{\frac{\sum (x_i - \= x)^2}{n} }\)

=>   \(s =  \sqrt{\frac{ (235,000 -  218653.125)^2+ (271,900 -  218653.125)^2 + \cdots +  (245,500 -  218653.125)^2}{16} }\)

=>   \(s =  23946.896 \)

The null hypothesis is  \(H_o : \mu =  \$201,800\)

The alternatively hypothesis is  \(H_o : \mu >  \$201,800 \)

Generally the test statistics is mathematically represented as

     \(t =  \frac{\= x  - \mu }{ \frac{s}{\sqrt{n} } }\)

=>  \(t =  \frac{218653.125  - 201800 }{ \frac{23946.896 }{\sqrt{16} } }\)

=>  \(t =  2.82\)

Generally the degree of freedom is mathematically represented as

     \(df =  n - 1\)

=>   \(df =  16 - 1\)

=>   \(df =  15\)

Generally the probability of  \(t =  2.82\) at a degree of freedom of  \(df =  15\) from the t - distribution table  is  

     \(p-value  = P( t >2.82 ) =0.00646356\)

The

From the values obtained we see that \(p-value  < \alpha\)

The decision rule is  

   Reject the null hypothesis

The conclusion is

 There is sufficient evidence to conclude that the real estate company's  projection is true

Given that the population variance is unknown then the best statistical distribution to be applied is the t -distribution

Type I  Error

 The type 1 error occur when the null hypothesis is wrongfully rejected

  The consequence in this case is the company will assume that the average selling price has increase and this will lead the company to start expanding the business while in the real sense the average selling price is still  $201,800

   Type II  Error

 The  type 11 error occur when the null hypothesis is wrongfully  accepted(i.e wrongfully failed to reject the null hypothesis)

    The consequence in this case is that the company will assume that the average selling price  is still $201,800 and will not make plans to increase the business while in the real sense the average selling price has increased

   Given that resource is scare the management of the company will want a  smaller  significance level in order not to commit type I error which will lead to wrongly expanding the business and wastes of resources

generally the critical value  of  \(\frac{\alpha }{2}\) from the normal distribution table is    

     \(Z_{\frac{\alpha }{2} } = 1.96\)

Generally the margin of error is mathematically represented as

   \(E  =Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }\)

=>\(E  =1.96*  \frac{23946.896}{\sqrt{16} }\)

=>\(E  = 11733.96\)

Generally the 95% confidence interval is  mathematically represented as

     \(218653.125 - 11733.96  < \mu  <  218653.125 + 11733.96\)

=>  \(206919.165  < \mu  <  230387.085\)  

Generally there is 95% confidence that the actual average selling price is within this interval  

Step-by-step explanation:

Answer:

80.219

Step-by-step explanation:

0.14 + 80.079 =

80.219

Fourteen hundredths + Eighty + Seventy-nine thousandths = 80,480.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Fourteen hundredths = 1,400

Eighty = 80

Seventy-nine thousandths = 79,000

Then the addition will be

⇒ 1400 + 80 + 79000

⇒ 80,480

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

9514 1404 393

Answer:

Step-by-step explanation:

A) If the playing times are to be the same, then the two expressions for playing time will be equal to each other.

  Ron = Sam

  3 +1.25c = 8 +0.75c

  0.50c +3 = 8 . . . . . . . . . . subtract 0.75c from both sides

  0.50c = 5 . . . . . . . . . . . subtract 3 from both sides

  c = 5/0.50 = 10 . . . . . divide by the coefficient of c

Each would have to complete 10 chores for their playing times to be the same.

__

B) When c = 4, we have ...

  Ron: 3 +1.25·4 = 3 +5 = 8

  Sam: 8 +0.75·4 = 8 +3 = 11

Sam spent the most gaming time if both completed 4 chores.

Answer:

Let's assume that the length of the rectangle is "x" units.

According to the problem, the width of the rectangle is 1 unit less than the length. Therefore, the width can be represented as (x-1) units.

We know that the area of a rectangle is equal to its length multiplied by its width. So, the area of this rectangle is given as 56 square units.

Using the formula for the area of a rectangle, we can write:

Length x Width = Area

x(x-1) = 56

Expanding the left side of the equation, we get:

x^2 - x = 56

Rearranging the terms, we get a quadratic equation:

x^2 - x - 56 = 0

Now we can solve for x by factoring the quadratic equation:

(x-8)(x+7) = 0

This gives us two possible values for x: x=8 and x=-7.

Since length cannot be negative, we reject x=-7 and conclude that the length of the rectangle is 8 units.

Therefore, the length of the rectangle is 8 units and the width is (8-1) = 7 units.

Step-by-step explanation: