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The sum of the first 10 terms of the following geometric sequence is  437.5.

The sequence where each word is varied by another by a common ratio is known as a geometric progression or geometric sequence. When we add a constant (which is not zero) to the term before it, the sequence's subsequent term is created. The following symbols stand in for it: a, ar, ar2, ar3, ar4, etc;

Given;

The terms 25,29,33.64

a = 25

d = 29/25

The sum of 1st 10 term will be=  (a - ar^9)/1-r

= (25-25*(3.802))/1-29/25

=70/0.16

=437.5

Therefore, the sum of sequence will be 437.5;

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Bashir would need to invest $18,900, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years.

Investment refers to the allocation of money or capital to an asset or a project with the expectation of generating a profit or earning an income. Investment can take many forms, including the purchase of stocks, bonds, real estate, or other financial products, as well as the financing of a business or a startup.

Investing involves risk, as the potential return on investment is not guaranteed. Investors must carefully evaluate the potential risks and returns of each investment opportunity before deciding where to allocate their capital.

Investment can be divided into two main categories: short-term and long-term. Short-term investments, such as savings accounts and money market funds, offer relatively low returns but also have lower risk. Long-term investments, such as stocks and real estate, have higher potential returns but also higher risk.

To find the amount that Bashir needs to invest to reach $29,000 in 19 years, we can use the formula for the future value of an investment:

Future Value = Principal * (1 + (Interest Rate ÷ Number of Compounding Periods))^(Number of Compounding Periods x Time in Years)

In this case, the interest rate is 5.7% compounded quarterly, so:

Interest Rate ÷ Number of Compounding Periods = 5.7 ÷ 4 = 1.425%

And the time in years is 19, so the number of compounding periods is 4 * 19 = 76.

Now, we can plug in the values into the formula:

Future Value = Principal * (1 + (1.425 ÷ 100))^(76)

Future Value = Principal * (1.01425)^76

Future Value = 29,000

Solving for Principal, we get:

Principal = 29,000 ÷ (1.01425)^76

Rounding to the nearest hundred dollars, we get:

Principal = $18,900

So, Bashir would need to invest $18,900, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years.

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The final coordinates of the vertices of quadrilateral A'B'C'D';

A''(12, 9)

B''(16, 2)

C''(12, -2)

D''(13, 2)

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have to,

to interpret the sequence of transformations,

The coordinates of the quadrilateral ABCD are;

A(-3, 4)

B(-7, -3)

C(-3, -7)

D(-4, -3)

Now, the first sequence of transformation is reflection across the y-axis. Now, the transformation rule for reflection across the y-axis is;

(x, y) → (−x, y) .

Thus, we now have;

A'(3, 4)

B'(7, -3)

C'(3, -7)

D'(4, -3)

It is now translated 9 units left and as such the transformation rule is;

((x + 9), y)

We now have;

A'(12, 4)

B'(16, -3)

C'(12, -7)

D'(13, -3)

It is now translated 5 units up and as such, the final coordinates are;

A''(12, 9)

B''(16, 2)

C''(12, -2)

D''(13, 2)

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Answer:

This one is quite tough as I too was stuck on this one, I believe the answer is B. I hope this helps.

Answer:

62°

Step-by-step explanation:

a = 90° -28° the answer is 62°

Answer:

62 degrees

Step-by-step explanation:

we say 90 degrees-28 degrees=62 degrees

Answer:

3

Step-by-step explanation:

8(3x + 9)

24x + 72 =0

24x = -72

x = -72/24

x = -3

Answer & Step-by-step explanation:

To multiply these two binomials, we can use the distributive property as follows:

(2x+5)(3x+1) = 2x(3x+1) + 5(3x+1)

Now, we can simplify each term:

2x(3x+1) = 6x^2 + 2x

5(3x+1) = 15x + 5

Putting these back together, we get:

(2x+5)(3x+1) = 6x^2 + 2x + 15x + 5

Simplifying the middle two terms, we get:

(2x+5)(3x+1) = 6x^2 + 17x + 5

Therefore, the expression that is equivalent to (2x+5)(3x+1) is 6x^2 + 17x + 5.

Answer:

x = 2

Step-by-step explanation:

We can start by rewriting the equation as follows:

100 * (1/5)^x / 4 = 4

Next, we'll multiply both sides by 4 to cancel out the division by 4:

400 * (1/5)^x = 16

Finally, we'll divide both sides by 400 * (1/5)^x to isolate (1/5)^x:

1/((1/5)^x) = 16 / 400 = 1/25

Taking the reciprocal of both sides:

(1/5)^x = 25

Taking the power of 5 to both sides:

x = log(25)/log(5) = 2

So x = 2 is the solution to the equation.

If the player wants to emphasize that his team generally scored a lot of points, it might be best to report the median.

The median and the mean are both measures of center in statistics. They help to describe where the center of the data set is located, but they are not the same thing.

The mean is calculated by adding up all the values in the data set and then dividing by the number of values. It gives a good overall picture of the average of the data set, but it is sensitive to outliers or extreme values.

On the other hand, the median is the middle value in a data set when the values are arranged in order.

To find the median, you must first arrange the values in order and then identify the middle value. If there are an even number of values, the median is the average of the two middle values.

The median is not as sensitive to outliers or extreme values as the mean, so it gives a more accurate picture of the center of the data set when there are outliers or extreme values.

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The solution to the equation does not exist

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

The average skid mark for the car is 91.7 feet. Option D

The average skid mark can be calculated by the formula -

S = ✓30Dfn,

where;

s is speed of car,

D is skid distance,

f is drag factor and

n is braking efficiency.

Using the values in formula to calculate the value of D.

55 = ✓30 × D × 1.1 × 1

Performing multiplication on Right Hand Side of the equation

55 = ✓D × 33

Taking square on both sides of the equation

D = 55² ÷ 33

Taking square on numerator on Right Hand Side of the equation

D = 3025 ÷ 33

Performing division on Right Hand Side of the equation

D = 98.45 feet

Rounding to the nearest tenth of a foot

D = 91.7 feet

Hence, the average skid mark is 91.7 feet.

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Algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week is $340 + 0.30m.

An algebraic expression does not contain an equal sign and cannot be solved like an equation, but it can be simplified or manipulated using algebraic rules. For example, the expression 2x + 3y is an algebraic expression, where x and y are variables.

The amount that Ms. Jackson will pay for the small truck for the week can be expressed as the weekly fee plus the cost of driving the truck for the number of miles driven.

Let's call the weekly fee "wf" and the cost per mile driven "cpm". Then, the total amount that Ms. Jackson will pay can be expressed as:

wf + cpm × m

From the table, the weekly fee for a small truck is $340 and the cost per mile driven is $0.30. So, the algebraic expression for the total amount that Ms. Jackson will pay for a small truck for the week can be expressed as:

wf + cpm × m = $340 + $0.30 × m = $340 + 0.30m

where m is the number of miles Ms. Jackson drives during the week.

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The complete question is :

Ms. Jackson wants to rent a small truck for a week. It will cost the weekly fee plus $0.30 per mile driven. Let m = the number of miles Ms. Jackson drives during the week. Use this information and the table to answer 13-15.

Vehicle               Week         Day

Van                     $320           $90

Small Truck         $340           $100

Medium Truck    $360            $110

Large Truck        $385             $120

Oversized Truck $415             $130

13a. Write an algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week.

The diagonal length of a right rectangular prism is given by the formula (l2 + w2 + h2) units. The length of the diagonal of this rectangular box is 5√2 cm.

Therefore, the equation for the diagonal length of a right rectangular prism is (l2+w2+h2), where l is the length, b is the breadth, and h is the height.

d2 = l2 + w2 + h2

Take the square root of either side of the equation to find the value of d:

d =  √(d2) = √(l2 + w2 + h2)

d = √(l2 + w2 + h2)

The diagonal length is as follows given that the rectangular box in question is 6 cm x 8 cm x 5 cm in size:

d = √(36 + 64 + 25)

d = √(125)

d = √(62.5)·√(2)

d = 5√(2)

Therefore, the length of the diagonal of this rectangular box is 5√2 cm.

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An approximate size which does not represent any of the actual dimensions of the unit is nominal value.

The phrase "nominal number" is said to be quite new and rarely used. It seems to have come from the statistical phrase "nominal data," which is reportedly defined as data revealing "...merely declarations of qualitative category of membership," as it is used in school textbooks. The meaning of the word "nominal" in this use is "name."

Nominal numbering is mathematically a one-to-one and onto function from a set of named objects to a set of numbers, which may change (typically growing) over time. It is a function because each named object is assigned a single number; it is one-to-one because different objects are assigned different numbers; and it is onto because every number in the set at a given time has a single named object associated with it.

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The answer is:

A frequency distribution for a collection of data is shown in the accompanying table.

The intervals or ranges of the data are displayed in the left column of the table, and the frequency or number of observations within each interval is displayed in the right column.

For instance, the first row demonstrates that 4 observations fall within the range of 10 to 19 while the second row demonstrates that 5 observations fall within the range of 20 to 29.

We only combine the frequencies to determine the total number of observations:

Total observations equal 25 (4 + 5 + 8 + 7 + 1 = 25)

By averaging the bottom and upper interval bounds, we can also determine each interval's midpoint. As an illustration, the first interval's midway (10-19) is as follows:

Midpoint: (14.5) (10 + 19) / 2

This may be done for each interval, and to display the midpoints, we can add a third column to the table.

The cumulative frequency, which is the overall frequency as we progress from the shortest interval to the longest interval, can then be calculated. The cumulative frequency can be displayed in the table by using a fourth column.

The finished table is shown here:

Interval Frequency Midpoint Cumulative Frequency

10-19 4 14.5 4

20-29 5 24.5 9

30-39 8 34.5 17

40-49 7 44.5 24

50-59 1 54.5 25

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Answer:

Step-by-step explanation:

Say, in relation 3/4 gal of paint : 1/5 of wall. The decimal equivalent is 0.75 : 0.2. With this info., you can multiply 0.2 to get 1 which is equivalent to 1/5 X 5 to get 5/5. What you do to one side, you do to the other, so 0.75 X 5, which gives you 3.75 gal of paint. Round it to 4. So the final answer is 4 gal of paint.

3/4 : 1/5  ->  0.75 : 0.2  ->  5 x 0.75 : 0.2 x 5  ->  5 x 3/4 : 1/5 x 5

15/4 : 5/5  ->  3.75 : 1  = about 4 gals of paint b/c you can't just buy 3.75 gals of paint.

Answer: the answer is 0=0

Step-by-step explanation:

5-12=-7

x-7=x-7        x-7+7=x-7+7

x=x     x-x=x-x

0=x-x

0=0

The equation to solve for your normal hourly rate is x = (612.5 - 1.5 * 46 + 46 * x) / 40.

In this equation, x represents your normal hourly rate. The first term in the parentheses, 612.5, is your total earnings for the week. The second term, 1.5 * 46, represents the overtime pay you received for working 6 hours over 40 hours. The third term, 46 * x, represents the amount you earned for your 40 hours of regular pay. The final term, 40, represents the number of hours you worked at your regular rate. By dividing both sides of the equation by 40, we can isolate x and solve for your normal hourly rate.

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Complete Question:

You are paid 1.5 times your normal hourly rate for each hour you work over 40 hours in a week. you worked 46 hours this week and earned $612.50. part a: which equation can you use to solve for x , your normal hourly rate?

Answer:

[tex]3x -11 + \frac{60}{x+5}[/tex]

Step-by-step explanation:

See the attached attachment

Answer: this would be how the numbers should look on the x axis so you can reflect them on the x axis:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the values of x that correspond to y-values of -2, 0, 4, 6, given the relation y = -2/3x +2.

One way to find the x-values is to read them from a graph of the equation. That is what we have done in the first attachment. This tells us the table is ...

  [tex]\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}6&-2\\3&0\\-3&4\\-6&6\\\cline{1-2}\end{array}[/tex]

You can solve the equation for x, then use that with the given y-values.

  y = -2/3x +2

  y -2 = -2/3x . . . . . subtract 2

  -3/2(y -2) = x . . . . . multiply by -3/2

Using the given y-values, we find the corresponding x-values to be ...

  -3/2({-2, 0, 4, 6} -2) = -3/2{-4, -2, 2, 4} = -3{-2, -1, 1, 2} = {6, 3, -3, -6}

These are the values that we obtained from the graph.

  For y = {-2, 0, 4, 6}, x = {6, 3, -3, -6}.

__

Additional comment

A graphing calculator or spreadsheet can process a list of numbers for you, so you don't have to enter the same computation over and over.

Answer:

5.76106287

Step-by-step explanation:

Answer: 5.76106287488

Step-by-step explanation:

Answer:

.17 miles per minute

Step-by-step explanation:

You are trying to figure out how many Miles he ran in EACH minute, so you would do 8(Miles)/47(minutes)

8/47 = .17

Area of the backyard is 9000 sq.ft. Area of the flower garden is 60 sq.ft. So the area of backyard planted with grass will be 8940 sq.ft.

Here the backyard is in rectangular shape and the flower garden is a parallelogram.

Backyard has a length  of 120ft and a width of 75ft. Area of a rectangle is given by the equation

Area of rectangle = length× width = 120×75 =9000 sq.ft

Area of backyard = 9000 sq.ft

The flower garden is a parallelogram with base 12 ft and height 5 ft.

Area of a parallelogram =  Base× height = 12×5 = 60 sq.ft

Area of flower garden = 60 sq.ft

All the remaining area is planted with grass. So, the area of the portion of backyard planted with grass = Total area of backyard- area of the flower garden.

Area planted with grass = 9000-60 = 8940 sq.ft

So the area of the backyard is 9000 sq.ft, area of the flower garden is 60 sq.ft and area planted with grass is 8940 sq.ft.

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Full question is given as image.

The area of shape B is 312.5 cm²

Let us assume that the area of the shape B is m square units.

Here, the dimensions of shape A is 12 cm and the area of the shape A is 200 cm²

The dimensions of shape B is 15 cm and the area of the shape B is m cm²

Since A and B are two similar 2D shapes their dimensions must be in proportion.

So, we get an equation,

⇒ A² / B² = 200 / m

⇒ 12² / 15² = 200 / m

⇒ 144 / 225 = 200 / m

⇒ m = (225/144) × 200

⇒ m = 312.5 cm²

Therefore, the area of shape B is 312.5 cm²

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The complete question is:

A and B are two similar 2D shapes. The area of shape A which is 12cm is 200cm squared. Calculate the area of shape B which is 15cm.

Step-by-step explanation:

put the 3-digit on top and 2-digit on bottom

multiply last # on the 2-digit by by the 3digit then add a 0 placeholder then reapeat

Answer:

4:7, 16:28, 32:56, 64:112

Step-by-step explanation:

You can go down 1, and you can also keep doubling. I hope this helped, I hope you get it right! Have a Good Day!

The ANOVA for each regression model shows that the overall F-test is significant, which means that at least one of the regression parameters is significant. This indicates that the regression model is useful for predicting the outcome.

The ANOVA for each regression model was conducted to determine whether the overall model is significant. To do this, an F-test was used to compare the sum of squares (SS) of the regression model versus the residual error (RSS). If the F-test is significant, then at least one of the regression parameters is significant and the model is useful for predicting the outcome. In both cases, the F-test was significant which indicates that the regression model is useful for predicting the outcome. The ANOVA also provides information about the individual parameters, such as the p-value associated with each parameter, which can be used to determine which parameters are significant. Overall, this indicates that the regression model is a useful tool for predicting the outcome and can be used to make informed decisions.

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The next two terms of the sequence are 16 and 25.

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

For example, square root of 16 is 4 since 4 × 4 = 16

Given the sequence 1, 4, 9.

We have to find the next two terms of the sequence.

1 = 1²

4 = 2²

9 = 3²

The next two terms will be the square of 4 and 5.

4² = 16

5² = 25

Hence the two terms next to the sequence are 16 and 25.

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