Which of the following describes the graph of h(x) = –2(–x + 3) + 4?

A. Exponential function decreasing from the left asymptotic to the line y equals 4 and going through the point 0 comma negative 4 down to the right
B. Exponential function increasing from the left and going through the point 0 comma negative 4 up to the right asymptotic to the line y equals 4
C. Exponential function decreasing from the left asymptotic to the line y equals negative 4 and going through the point negative 1 comma negative 8 down to the right
D. Exponential function increasing from the left and going through the point 1 comma negative 8 up to the right asymptotic to the line y equals negative 4

The total amount he will pay for 20 years of coverage is $61,980. Option D

To find the total amount, we use the expression

First, we multiply the value per $1,000.00 by the number of thousands of face value coverage. This gives an estimate of the annual premium for  life insurance policy.

Nikos's premium per year = \(\frac{300000}{1000} * 10. 33\)

Niko's premium per year = \(300 * 10. 33\)

Niko's premium per year = $3, 099

To find the total amount, we need to multiply by the number of years

=  $3,099 x 20

= $61,980

Thus, the total amount he will pay for 20 years of coverage is $61,980. Option D

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The number of revolutions made by the wheel is 5.24 ≅ 5.  

One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.    

Here we have

A wheel rotated by 1888°  

As we know One complete revolution is equal to 360 degrees

Hence, the angle can be rotated by the wheel in 1 rotate = 360°  

Let the wheel make 'x' revolution to make 1888°  

=> 360(x) = 1888

=> x = 1888/360

=> x = 5.24

Therefore,

The number of revolutions made by the wheel is 5.24 ≅ 5.    

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Answer:

22 dimes and 55 quarters

Step-by-step explanation:

Nickels: 3x

Dimes: 2x

Quarters: 5x

nickels: 3x = 33 --> x = 11

Dimes: 11*2 = 22

Quarters: 11*5 = 55

y=8x+11 is the equation of the line that is parallel to  y =8x-3 and passes through the point (-2,-5) and y=-1/8x-21/4 is the perpendicular line to y =8x-3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation of line is y=8x-3

y equal to eight times of x minus three

In the equation 8 is the slope.

In parallel lines the slope will remain same.

the equation of the line that is parallel to this line and passes through the point (-2,-5).

y=8x+c

-5=8(-2)+c

-5=-16+c

-5+16=c

11=c

So y=8x+11 is the  equation of the line that is parallel to this line and passes through the point (-2,-5).

the equation of the line that is perpendicular to this line and passes through the point (-2,-5).

The product of slopes of perpendicular lines is -1.

8m=-1

m=-1/8

y=-1/8x+c

-5=-1/8(-2)+c

-5=1/4+c

-5-1/4=c

-21/4=c

Equation of the line that is perpendicular to this line and passes through the point (-2,-5) is y=-1/8x-21/4

Hence, y=8x+11 is the  equation of the line that is parallel to  y =8x-3 and passes through the point (-2,-5) and y=-1/8x-21/4 is the perpendicular line to y =8x-3.

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Answer: The model is 69.420 feet tall.

Step-by-step explanation: I asked my teacher.

Answer:

5.5 cm

Step-by-step explanation:

If you take 11 and divide it by 2 you would get 5.5cm.  This is the answer because   If 1cm is 2 ft you divide it by the actual height and you end up with how tall the model would be.

If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.

As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.

We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.

To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as

Interest (I) \(=(\frac{P*R*T}{100} )\)

where, "P" = Principle amount of Loan,

"R" = Rate of simple interest charged on the principle per annum, and

"T" = Time period within which, the loan is to be repaid.

Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year  = \((\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800\)

And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.

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Step-by-step explanation:

if you observe the graph the y values increase as the x value increase.

so it has a possitive association.

if the value of y increase as the value of the x increase then data has positive association.

Answer:

The probability of the complement (no rain) is 0.75 or 75%.

Step-by-step explanation:

The complement of an event A is the probability of A not occurring, which is equal to 1 - P(A).

Given that the probability of rain today is 25%, the probability of no rain (the complement of rain) is:

P(no rain) = 1 - P(rain)

P(no rain) = 1 - 0.25

P(no rain) = 0.75

Therefore, the probability of the complement (no rain) is 0.75 or 75%.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &19 \end{cases} \\\\\\ A=5000\left(1+\frac{0.08}{2}\right)^{2\cdot 19}\implies A\approx 22194.067 \\\\[-0.35em] ~\dotfill\)

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &19 \end{cases} \\\\\\ A=5000\left(1+\frac{0.08}{1}\right)^{1\cdot 19}\implies A\approx 21578.505\)

The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.

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

A non linear function is a function whose graph is not linear or can be represented by a straight line.

The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

A

Step-by-step explanation:

Wildwood:   216,650

Applewood: 219,750

Riverside:     237,500

Seaside:       240,850

Lakewood:    241,900

Answer: THE ANSWER IS A I PASTED THIS TEST ITS JUST

Step-by-step explanation:

A)Wildwood, Applewood, Riverside, Seaside, Lakewood

This is a relative frequency question. Applying the concept, we get that the relative frequency of gluten free breads sold at store A compared to those sold at all stores combined is 0.1667.

Relative frequency:

The relative frequency of a to b is given by a divided by b.

In this question:

a: Gluten free breads sold at store A

b: Gluten free breads sold at all stores combined.

2 + 7 + 3 = 12 gluten free breads sold.

2 sold at store A, so:

\(\frac{2}{12} = \frac{1}{6} = 0.1667\)

Thus, the relative frequency of gluten free breads sold at store A compared to those sold at all stores combined is 0.1667.

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Relative Frequency:

The relative frequency of gluten-free breads sold at Store A compared to those sold at all the stores combined is:

= 0.167

Data and Calculations:

Gluten-Free Breads at Different Stores

                           Gluten-Free         Not Gluten-

                               Breads            Free Breads

Store A                        2                          4

Store B                        7                         10

Store C                       3                         12

Since we are only considering Gluten-Free Breads at the three stores, we take the relevant data to calculate and compare their frequencies as follows:

                           Gluten-Free        Relative

                               Breads         Frequency

Store A                        2                0.167 (2/12) = 17%

Store B                        7                0.583 (7/12) = 58%

Store C                       3                0.250 (3/12) = 25%

Total Gluten-free     12                 1 = 100%

Thus, the relative frequency of gluten-free breads sold at Store A compared to those sold at all the stores combined is 0.167.

Answer:

The contractor made an error in calculating the unit price of the padded work gloves.

Step-by-step explanation:

To find the unit price of an item, we need to divide the total cost of the item by the number of units purchased. In this case, the contractor purchased 7 dozen pair of padded work gloves, which is equal to 7 x 12 = 84 pair of gloves. Therefore, the unit price of the padded work gloves is $103.32 / 84 pair = $1.23 per pair.

The contractor incorrectly calculated the unit price as $14.76, which is an error of $14.76 - $1.23 = $13.53. This error occurred because the contractor did not correctly take into account the number of units purchased when calculating the unit price.

Hope this helps:)

Answer:

182 inches

Step-by-step explanation:

1 book is 13 inches thick.

So when 14 of those books are stacked together (lets take the book cover has non-existent thickness since the question did not mention),

Height of stack of 14 books = 14 x Thickness of 1 book = 14 x 13inches

= 182 inches

The mean of the data set is 82.77

If we want to find the mean, we would have to put it at the back of our minds that the mean is the same as the average. As such, we would have to take the sum of all the values that have been listed in the data set and divide by the total number of the data.

The first step is to arrange the data set orderly from smallest to largest;

70, 71,79, 82,88,85,87,91,92

We have nine values in the data set thus the mean is;

70+71+79+82+88+85+87+91+92/9= 745/9= 82.77

Hence the mean of the data set is 82.77

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The solutions of  "one seventh times the absolute values of the quantity x minus 3 minus 2 equals 9" is 80 and -74

The absolute value of the quantity x minus 3 = |x-3|

The one seventh time the absolute value of the quantity x minus 3 minus 2 equal to 9

Then the equation will become

(1/7)×|x-3|-2=9

Solve the equation

(1/7)×|x-3|-2= 9

(1/7)×|x-3|= 11

|x-3| = 11×7

|x-3|= 77

The absolute value equation will become

x-3= 77

x-3 = -77

Solve both equation

x-3=77

x= 80

x-3 = -77

x= -74

Hence, the solutions of  "one seventh times the absolute values of the quantity x minus 3 minus 2 equals 9" is 80 and -74

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Answer:

Step-by-step explanation:

Direct variation:

\(\dfrac{y}{x}=constant\)

Inverse variation:

\(xy=constant\)

We have

\(xy=60\)

it's an inverse variation.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p-\frac{3}{4}=4 } \end{gathered}$}}\)

Add 3/4 to both sides.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=4+\frac{3}{4} } \end{gathered}$}}\)

Convert 4 to the fraction 16/4.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=\frac{16}{4} +\frac{3}{4} } \end{gathered}$}}\)

Since 16/4 and 3/4 have the same denominator, add their numerators to add them together.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=\frac{16+3}{4} \longmapsto \ \ Add } \end{gathered}$}}\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=\frac{19}{4} } \end{gathered}$}}\)

Multiply both sides by 8/5, the reciprocal of 5/8.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{19}{4}\times\left(\frac{5}{8}\right) } \end{gathered}$} }\)

Multiply 19/4 by 8/5 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{19\times8}{4\times5 }\longmapsto \ Multiply } \end{gathered}$}}\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{152}{20} } \end{gathered}$}}\)

We reduce the fraction 152/20 to its minimum expression by extracting and canceling 4.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{152}{20} \ \ \longmapsto \ p=\frac{152\div4}{20\div4}=\frac{38}{5} } \end{gathered}$}}\)

Answer:

Step-by-step explanation:

You can view 3x3 as 3+3+3.  3x4 is 3+3+3+3.  3x4 is also 4+4+4.  And so forth.

So, you can see how 3+3 is the same as 3x2.  

Hopefully, you can also see that 2x2 is 2+2 for the same reason.  It becomes trivial.

Answer:

2+2=4is not more then 2X4

Step-by-step explanation:

The system of equations is given as,

Let us eliminate the variable 'k' first.

The coefficient can be made equal by multiplying the first equation by 3,

Simplify the system of equations,

Subtract the second equation from the first,

Note that the result obtained does not hold true for any values of 'p' and 'k'.

So the given system of linear equations will have no solution.

Answer:

D, No trend or association

1/3

The notation P(x) is used to describe the probability of event x occurring.

Divisors

Before we can do the probability question, we need to find the divisors of 6. Divisors are numbers that can evenly divide another number. The factors and divisors of a number are the same. So, 6 has 4 divisors:

All of these values are on a 6-sided dice. So, in this probability question, there are 4 unsuccessful outcomes.

Probability

The probability of a simple event is the number of successful outcomes divided by the number of possible outcomes. In this situation, there are 6 possible outcomes, each side of the dice. Four of these outcomes do not satisfy the given condition (not a divisor of 6). Thus, there are 2 successful outcomes.

The probability of rolling a number that is not a divisor of 6 is 1/3.

It is said that the rural landscape has been replaced by the urban landscape because rural landscapes have been transformed into urban ones.

We have to:

At present, more and more rural spaces become urban, which is why it is indicated that the urban landscape is replacing the rural one.

¡Hope this helped!

The figure's perimeter and area would be as follows.

Perimeter = 21.19 cm

Area = 25.501 cm²

A Cartesian coordinate system in some kind of a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates, which are the signed distances from two fixed perpendicular lines that are aligned to the point and are both measured in the same length.

point of the coordinates are as follows:

A(2, 1)

B(8, 6).

C(10, 1)

We know that the formula for finding for the distance is:

d=√((x2 – x1)² + (y2 – y1)²).

For Point AB:

X₁ = 2

Y₁ = 1

X₂ = 8

Y₂ = 6

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((8 – 2)² + (6 – 1)²).

d=√((6)² + (5)²).

d=√(36 + 25).

d=√(61).

AB =7.81

For Point BC:

X₁ = 8

Y₁ = 6

X₂ = 10

Y₂ = 1

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((10 – 8)² + (1 – 6)²).

d=√((2)² + (-5)²).

d=√(4 + 25).

d=√(29).

BC = 5.38

For Point CA:

X₁ = 10

Y₁ = 1

X₂ = 2

Y₂ = 1

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((2 – 10)² + (1 – 1)²).

d=√((-8)² + (0)²).

d=√(64 + 0).

CA = 8

The perimeter of the given figure is:

Sum of all the sides.

AB + BC + CA

7.81 + 5.38 + 8

21.19 cm

Now finding the area of the tringle we use Pythagoras formula:

H² = P² + B²

P² = H²  - B²

P² = (7.81)²  - (5.38)²

P = 9.4837

We know that the area of the triangle is: = 1/2(base * Hight).

                                                                    = 1/2(5.38  * 9.48)

                                                                    = 25.501 cm²

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Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

check image for answer po

Answer:

hope it helps

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Option D is the correct answer, in which both median and mode are appropriate measures of center.

mean is the average = summation of the salary/number of salary

mean= 37,000+38,500+35,000+37,000+45,000+40,000+75,000/7

mean=307500/7

mean=43,929

The median is the value in the middle of a data set, and it is also the center value when arrange from lowest to highest.

$35,000, $37,000, $37,000, $38,500, $40,000, $45,000, and $75,000

so the median=$ 38,500

mode is the most frequent value which repeated more than once.

so as per the given values, the mode=$ 37,000.

Therefore, Both the mean and median are appropriate measures of the center.

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An inequality that represents this word sentence is 1 + y ≤ -13.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Word:

One plus a number y is no more than −13.

No more than means it can be equal or less

So,

This can be written as,

1 + y ≤ -13

Thus,

1 + y ≤ -13

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