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Answer:

2

Step-by-step explanation:

f(-3) represents f(x) evaluated at x=3.

\(f(-3)=(-3)^2+2(-3)-1 \\ \\ =9-6-1 \\ \\ =2\)

Answer:

the area of the rectangle is 35.25 square meters.

Step-by-step explanation:

To find the area of a rectangle, we multiply the length by the width.

First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:

4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4

7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6

Now we can multiply the length and width:

Area = (18/4) * (47/6)

Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)

Area = (9 * 47) / (2 * 6)

Area = 423/12

Area = 35.25

Therefore, the area of the rectangle is 35.25 square meters.

Answer:

96,100

Step-by-step explanation:

The unknown length of the similar figure is:

x = 15 units

Two figures are similar if they have the same shape but different sizes. The corresponding angles are equal and the ratios of their corresponding sides are also equal.

Using the above concept, we can equate the ratio of the corresponding sides and solve for the unknown lengths. That is:

TV/AC = TU/AB

x/10 = 6/4

x/10 = 1.5

x = 10 * 1.5

x = 15 units

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The zero-factor property is

Then we equate each factor by 0 and find the values of x

The given equation is

Since the right side is not equal to 0, then

We can not use the zero-factor property to solve the equation

The answer is

zero-factor property cannot be used

Answer:

31 + 32 + 33 = 96.

Step-by-step explanation:

I think you are meaning 96 not -96

Answer:

20

Step-by-step explanation:

There is 6-2 =4 years between them

24-4 =20

The sister is 20

Answer: 20 years old

Step-by-step explanation: So, we know the girl is 4 years older than the sister...how do we know that? Because...

6 - 2 = 4

She's 4 years older...we know the girl is 24, then the sister must be 20.

24 - 4 - 20...

The sister is 20 years old, I hope this helps

The  best measure of center for the data shown is the median, and its value is 17.

The median is the best measure of center for the given data set. To find the median, we arrange the numbers in ascending order:

10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

Since the data set has an odd number of values, the median is the middle value, which in this case is 17.

Therefore, the best measure of center for the data shown is the median, and its value is 17.

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When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.

The old coordinate where were rotated are:

A(-5,8)

B (-1, 7)

C(-3, 5)

D(-4, 2)

To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x  -coordinate.

The new coordinates are after 90 degrees, counterclockwise  are

A' = (-8, -5)

B' = (-7, -1)

C' = (-5, -3)

D' = (-2, -4)

See attached image.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

Answer:

19

Step-by-step explanation:

if you go down from 27 by 8, you get 19, and if you go up from 11 by 8, you also get 19

Answer:

Nikita has to get $915 worth of eye surgery. The eye center says she can pay $75 now and then $40 per month.

1. After eight months, $395 Nikita spent on her eye surgery.

2.The equation is 40m+75=915.

3. After evaluating the equation we got m is 21.

4. She has pay for 21 months continually.

Given that,

Nikita has to get $915 worth of eye surgery. The eye center says she can pay $75 now and then $40 per month because she can't now afford that.

There are 4 question.

1. We have to find after eight months, how much has Nikita spent on her eye surgery.

We get 40(8)+75=395

Therefore, after eight months, $395 Nikita spent on her eye surgery.

2. We have to write an equation that will enable Nikita to determine how much money she has paid after m months, using m to indicate the number of months.

We get

40m+75=915

Therefore, the equation is 40m+75=915.

3. Evaluate your equation from (b).

We get 40m+75=915

40m=915-75

40m=840

m=21

Therefore, m is 21.

4.We have to calculate the number of months it will take Nikita to pay for her operation by setting up and solving an equation.

She has pay for 21 months continually.

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number one and  four

Answer:

Step-by-step explanation:

Answer:

This a table

whereby y is dependent on x

Step-by-step explanation:

x=independent variable

y=dependent variable

Answer:

a 1 over 25

Step-by-step explanation:

Problem Statement:

     What is the value of  \(\frac{5^{4} }{5 ^{6} }\) ?

To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them.

Exponents are used by scientists to report higher orders of a number.

Such large and often recurring expression is usually made up of a base and an exponent value.

The exponent value is the power of the base;   for example, 4³ has 4 as its base and 3 as the exponent.

Several rules guides solving an exponent, to this problem, the most applicable one is :

                            \(\frac{x^{a} }{x^{b} }\)  =  \(x^{(a-b)}\)

                           \(\frac{5^{4} }{5 ^{6} }\)   =  \(5^{4-6}\)  

                                 = \(5^{-2}\)

                                 = \(\frac{1}{25}\)                                  

Therefore the solution is 1 over 25

Answer:

a 1 over 25

Step-by-step explanation:

Answer:

C. c = 64 + 2w

Step-by-step explanation:

You're starting with 64 customers and you're gaining 2 for each week.

good luck, i hope this helps :)

Answer:

C. 64 + 2w

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x-2)(x-2)(x-4)

Answer:

arc length = 2.2π inches

Step-by-step explanation:

arc length is calculated as

length = circumference of circle × fraction of circle

           = 2πr × \(\frac{22}{360}\) ( r is the radius )

           = 2π × 18 × \(\frac{22}{360}\) ( cancel 18 and 360 by 18 )

          = 2π × \(\frac{22}{20}\)

        = \(\frac{44}{20}\) π

       = 2.2π inches

Answer:

hmmm

Step-by-step explanation:

what does the j, k, m, and l stand for?

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Answer: 12 INCHES

Step-by-step explanation:

Answer:

The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

10h = 370

hope this helps.

Answer:

D. 96 miles

Step-by-step explanation:

So, first, to get to the airport, we can take the shortest route, which is Elementary School to City Hall (21), then to High School (12), then to Airport (15).

This adds up to 48 miles.

Then, we go back to City Hall, through the High School, which is 27 miles (15+12)

Then, we go to the Elementary School from City Hall, which is 21 miles.

Add up all the miles and you get:

48 + 27 +21 = 96

18.20 acres

28×65% =

= 28×65/100

= 1820/100

= 18.20 acres

Answer:

The value of x is 55, because the two angles shown in each diagram are supplementary.

(a) The sequence formed by the given numbers is: 40, 24, 56, 16, 36, 72, 8, 48, 32.

(b) The sum of the given arithmetic series is 324.

Based on the given table, we can observe the following pattern:

Using these patterns, we can fill in the missing entry in the second row as follows:

So, the completed table looks like this:

40 | 24 | 56 |

16 | 36 | 72 |

8 | 48 | 32 |

The sum of the series is calculated as;

S = n/2(a + l)

Using this formula, we can find the sum of the given arithmetic series. Since there are 9 terms in the series, and the first term is 40, and the last term is 32, we have:

S = 9/2 x (40 + 32)

S = 9/2 x 72

S = 324

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The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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