What is it? I am not sure

Answer: 23 inches by 7 inches

Step-by-step explanation:

161 = 7 x 23 (or 1 x 161 but that doesn't help...)

And to check:

7 x 3 + 2 = 23

Answer:

23inches by 7inches

Step-by-step explanation:

7 ×3+2=23

The average number of hours worked per week drop from 2009 to 2010 dropped by 1.16%

The average work weeks are given as:

Year 2009 = 43 hours

Year 2010 = 42 hours 30 minutes

Rewrite as:

Year 2010 = 42.5 hours

The percentage change is then calculated as:

Percentage change= (Final - Initial)/Initial * 100%

So, we have:

Percentage change= (42.5 - 43)/43* 100%

Evaluate

Percentage change= -1.16%

Hence, the average number of hours worked per week drop from 2009 to 2010 dropped by 1.16%

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The volume of the composite figure is 655.44 unit³.

The information is incomplete. An overview will be given. Let's assume that the shape is a cylinder.

The volume of a cylinder is πr²h

Assumed radius = 7

Assumed height = 4

The volume will be:

= πr²h

= 3.14 × 7² × 4

= 615.44 unit³

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Step-by-step explanation:

THERE WILL BE

6+4+3+7= 23

The multiplication of the expression (x² + 3x + 2) (2x² + 3x + 1) is 2x⁴ + 9x³ + 14x² + 9x + 2

(x² + 3x + 2) (2x² + 3x + 1)

= 2x⁴ + 3x³ + x² + 6x³ + 9x² + 3x + 4x² + 6x + 2

= 2x⁴ + 3x³ + 6x³ + x² + 9x² + 4x² + 3x + 6x + 2

= 2x⁴ + 9x³ + 14x² + 9x + 2

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Answer:

29/12

Step-by-step explanation:

hello :

2/3  +5/6  +11/12 = (2×4)/(3×4)  + (5×2)/(6×2)  + 11/12

2/3  +5/6  +11/12 = 8/12  +10/12  +11/12 = (8+10+11)/12

2/3  +5/6  +11/12 = 29/12

Answer:

[tex]2\frac{5}{12}[/tex]

Step-by-step explanation:

To add fractions, we have to make sure that they have the same denominators. To do that, we have to find their lowest common multiple (LCM).

The LCM of 3, 6, and 12 is 12.

Then we have to multiply the numerator and denominator of each fraction by a number so that the denominator becomes the LCM (12).

[tex]\frac{2}{3} + \frac{5}{6} + \frac{11}{12}[/tex]

⇒ [tex]\frac{2 \times 4}{3 \times 4} + \frac{5 \times 2}{6 \times 2} + \frac{11 \times 1}{12 \times 1}[/tex]

⇒  [tex]\frac{8}{12} + \frac{10}{12} + \frac{11}{12 }[/tex]

⇒ [tex]\frac{8+10+11}{12}[/tex]

⇒ [tex]\frac{29}{12}[/tex]

⇒ [tex]\bf 2\frac{5}{12}[/tex]

Answer:

150 student tickets and 375 adult tickets

Step-by-step explanation:

Let x = # of student tickets sold, and y = # of adult tickets sold.

Total of 525 tickets were sold, so the first equation is x + y = 525. The register gained $8325, so 10.50x + 18y = 8235 is the second equation.

x + y = 525

10.50x + 18y = 8325

18x + 18y = 9450

10.50x + 18y = 8325

7.5x = 1125

x = 150

150 + y = 525

y = 375

The two statements that are true for g(x ) are:

g(x) = [tex]4^{x}[/tex] - 1

g(x) is translated both vertically and horizontally.

A function is a relation showing the relationship between two or more variables.

A function produces a unique output when a unique input is given to it. The input is called the domain and the output is called the Range.

Analysis:

If we use the values of x as 0,1,2,3

for x = 0

g(0) = [tex]4^{0}[/tex] -1  = 1 -1 = 0

for x = 1

g(1) = [tex]4^{1}[/tex] -1  = 4 - 1 = 3

for x = 2

g(2) = [tex]4^{2}[/tex] - 1 = 16 - 1 = 15

for x = 3

g(3) = [tex]4^{3}[/tex] - 1 = 64 - 1 = 63

Therefore g(x) = [tex]4^{x}[/tex] - 1

Also since the values of g(x) changes along the y - axis and x-axis also changes, therefore, g(x) is translated along both axes.

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Answer:

top left graph

Step-by-step explanation:

The function is not defined for negative x.

Also, the range should not include positive numbers.

So, the answer is the top left graph.

Answer: The base graph vertically stretched by a factor of 6.

Step-by-step explanation:

See attached image.

The interest obtained after 4 years from a loan of $7500 is = $750

The principal amount of the loan = $7500

The rate at which the interest is paid is = 2.5%

The time that it will take to pay the interest = 4 years

Using the formula for Simple interest;

SI= P×T×R/100

SI = 7500×4 × 2.5/100

SI= 75000/100

SI=$750

Therefore, the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years is = $750

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Answer:

4/5

Step-by-step explanation:

SImply use slope formula. We see the graph has defined points at (5, 4), and (-5, -4).

m=(Y2-Y1)/(X2-X1)

(4-(-4))/(5-(-5))=8/10

Simplify 8/10

=4/5

Answer:

x = 7.43

Step-by-step explanation:

X - 2.13 = 5.3

add -2.13 to both sides

x -2.13+2.13 = 5.3 + 2.13

-2.13 + 2.13 cancel out and 5.3 +2.13 equals 7.43

therefore x =7.43

check your work by substituting 7.43 for x

7.43 - 2.13 = 5.3

Answer:

[tex]\fbox {Required equation : 4(x + 3) = 20}[/tex]

[tex]\fbox {Result : x = 2}[/tex]

Step-by-step explanation:

Let our number be x.

1) 3 is added to this number.

2) It is multiplied by 4.

3) It is equated to 20.

∴ This is our framed equation.

Steps to solve :

1) Divide by 4 on both sides.

2) Subtract 3 on both sides.

∴ The number is 2.

Answer:

Step-by-step explanation:

it would be D

The description of the box plots are as follows:

IQR = 25 - 2

= 23

The difference between the median values

= 20 - 6

= 14

That female admires those movie stars and has a large group of pals with whom she goes out on a regular basis to keep them company.

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The probability that Luke will pick a blue ball is 3/8.

We have,

To find the probability of Luke picking a blue ball, we need to determine the total number of balls in the container and the number of blue balls.

Total number of balls

= 4 (yellow balls) + 3 (blue balls) + 1 (red ball)

= 8 balls

Number of blue balls = 3

Now, the probability (P) of picking a blue ball is given by:

P = Number of favorable outcomes (picking a blue ball) / Total number of possible outcomes

P = 3 (number of blue balls) / 8 (total number of balls)

Now, we can simplify the fraction to its lowest terms:

P = 3/8

Thus,

The probability that Luke will pick a blue ball is 3/8.

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Answer:

Step-by-step explanation:

hello here is an solution

The width of the rectangle is 3.5 feet

The width of the rectangle = w

The length of the rectangle = l

The perimeter = p

Length of the rectangle is two feet greater than twice it’s width

l  =  2w + 2

p = 2(l + w)

p = 2(2w + 2 + w)

p = 2(3w + 2)

p = 6w + 4

The perimeter of the rectangle is 25 ft

25  =  6w + 4

This can be rewritten as:

6w + 4 = 25

6w = 25 - 4

6w = 21

w = 21/6

w  = 3.5

Therefore, the width of the rectangle is 3.5 feet

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The explicit formula for this  geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.

An equation is an expression that shows the relationship between two or more variables and numbers.

A geometric sequence is in the form aₙ = ar⁽ⁿ⁻¹⁾, where a is the first term and r is the common ratio.

The geometric sequence 81, 27, 9, 3, … has common ratio:

r = 27/81 = 1/3

The explicit formula for this  geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.

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The substance's half - life is 7 days

The formula for finding the half - life is given as;

Half - life = [tex]\frac{0. 693}{k}[/tex]

The k value given is 0.1027

Half - life = [tex]\frac{0. 693}{0.1027}[/tex]

Half - life = 6. 75

Half - life = 7 days in the nearest tenth

Thus, the substance's half - life is 7 days

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The the anticipated return after financing cost with the most aggressive asset financing mix is $200000.

Most aggressive

Low liquidity = $2,500,000 *18%

Low liquidity = $450,000

Short-term financing = -$2,500,000*10%

Short-term financing = -$250,000

Anticipated return = $450,000 + (-$250,000)

Anticipated return = $200,000

Most conservative

High liquidity = $2,500,000 *14%

High liquidity = $350,000

Long-term financing = –$2,500,000 * 12%

Long-term financing = -$300,000

Anticipated return = $350,000 + (-$300,000)

Anticipated return = $50,000

Moderate approach

Low liquidity = $2,500,000 *18%

Low liquidity = $450,000

Long-term financing =–$2,500,000 * 12%

Long-term financing = -$300,000

Anticipated return = $450,000 + (-$300,000)

Anticipated return = $150,000

Moderate approach

High liquidity = $2,500,000 *14%

High liquidity = $350,000

Short-term financing = -$2,500,000*10%

Short-term financing = -$250,000

Anticipated return = $350,000 + (-$250,000)

Anticipated return = $100,000

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Complete question:

a. Compute the anticipated return after financing cost with the most aggressive asset financing mix.

b. Compute the anticipated return after financing cost with the most conservative asset financing mix.

c. Compute the anticipated return after financing cost with the two moderate approaches to the asset financing mix.

Answer: A, B, C

Step-by-step explanation:

[tex]m=\frac{-5-3}{4-(-4)}=-1[/tex]

Substituting into point-slope form, we get [tex]y-3=-(x+4)[/tex] and [tex]y+5=-(x-4)[/tex]. Rearranging this into slope-intercept form,

[tex]y-3=-(x+4)\\\\y-3=-x-4\\\\y=-x+1[/tex]

The amount of time between interest payments is know as period.

Period is the time between when interests are paid. Period can vary depending on the terms of the investment. Periods can be yearly, quarterly, semi-annually, biweekly or weekly.

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The number of appliances that Guillermo needs to sell this month to main an average of 80 sales per month is 72 units.

An average refers to a central value obtained after adding together several amounts and then dividing this total by the number of variables added.

An average is a central value in a dataset.

Average sales per month = 80 units

Number of months involved = 5 months

Total for five months based on the average = 400 units

Total units sold in four months = 328 (95 + 47 + 114 + 72)

Sales units required to meet the average target = 72 (400 - 328)

Thus, the number of appliances that Guillermo needs to sell this month to main an average of 80 sales per month is 72 units.

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Answer:

The Sequence

Step-by-step explanation:

the Sequence is a decrease by 2 and a increase of 4. So subtract 2 by 10 to get 8 then add 4 to get 12 and so on.

In the given diagram, the value of JI is 6

From the question, we are to determine JI

From the given diagram, we can write that

JI + IH = x + 22

Also,

JI = 2x + 28

and

IH = 5

Then, we can write that

2x + 28 + 5 = x + 22

Collect like terms

2x - x = 22 -28 -5

x = -11

Now, substitute the value of x into the equation

JI = 2x + 28

JI = 2(-11) + 28

JI = -22 +28

JI = 6

Hence, the value of JI is 6

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The 90 percent confidence interval for the data is given as  396.02, 727.98

The formula is fx/n

= Mean, μ = 562.2

sum up the data and divide by 5

sd =  

Σ(xi - μ)2/N

= (361 - 562.2)² + ... + (631 - 562.2)²/5

= 151806.8/5

= 30361.36

sd = √30361.36

= 174.24511470914

1 - confidence level

= 1 - 0.90

= 0.1

df = 4

Using excel

T.INV.2T(0.1, 4) = ±2.13

562 +- 2.13 x  174.245/√5

562- 165.98, 562+ 165.98

= 396.02, 727.98

Hence the confidence interval can be calculated to be 396.02, 727.98

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The  number of pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 65% pure fruit juice is:  32 pints of 95% juice, and 48 pints of 45% juice.

Let x be the amount of 95% juice.

Let the  amount of 65% juice be 80-x

Hence:

.95x+.45(80-x)=.65(80)

.5x+36=52

Collect like term

5x=16

Divide both side by 5x

x=16/5

x=32

Therefore the number of pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 65% pure fruit juice is:  32 pints of 95% juice, and 48 pints of 45% juice.

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