Write an expression for the nth term of...
2,1,0,-1...

Answer:

--------------------

We see x - 2 is the common factor in the given expression.

Simplify as:

Answer:

10x - 20

Step-by-step explanation:

distribute the 3 and the 7 into the parentheses, getting you to (3x - 6) + (7x - 14), from there you should be able to just combine the like terms getting you to 10x - 20.

We are given v = ds/dt, v = 9.8t + 9, s(0) = 17. We need to find the position of a body moving along a coordinate line at time t.

Using the formula of velocity, we can integrate it with respect to t to find the position of the body at any time t. The formula for velocity is:v = ds/dt... (1) Integrating equation (1) with respect to t, we get's = ∫vdt + C ...(2)

Here, C is the constant of integration, and it is found using the given initial position. Given, s(0) = 17Substitute s = 17 and t = 0 in equation (2).17 = ∫(9.8t + 9)dt + C [∵ s(0) = 17]17 = 4.9t² + 9t + C

Therefore, C = 17 - 4.9t² - 9tOn substituting the value of C in equation (2), we get:s = ∫vdt + 17 - 4.9t² - 9t ...(3)Now, we can substitute the given velocity, v = 9.8t + 9, in equation (3).s = ∫(9.8t + 9)dt + 17 - 4.9t² - 9ts = 4.9t² + 9t + 17 - 4.9t² - 9ts = 9t + 17

Hence, the position of the body at time t is 9t + 17 units.

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Answer:

A unit cube has a length of 1 unit, width of 1 unit and height of 1 unit. Its volume is 1 cubic unit.

Any solid shape can be shown as being of made of unit cubes. Counting the number of unit cubes in that solid shape gives its volume. The cube shaded green is a unit cube.

Unit Cube

Definition of volume: The number or amount of cubic units it takes to fill a defined space is called volume.

Step-by-step explanation:

The volume of this rectangular prism will be;

⇒ 120 unit cubes

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Each cube in the prism is one cubic unit.

Now,

Since, Each cube in the prism is one cubic unit.

We know that;

⇒ The volume of rectangular prism = Length × Width × Height

Here, Length of rectangular prism = 6

Width of rectangular prism = 5

Height of rectangular prism = 4

Thus, The volume of rectangular prism = Length × Width × Height

                                                              = 6 × 5 × 4

                                                              = 120 unit cubes

Therefore, The volume of this rectangular prism will be;

⇒ 120 unit cubes

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Answer: 8

Step-by-step explanation:

You have to divide 6.7/0.8 and you'll get your answer. She'll be able to use 8 full pieces.

Answer: $2.50

Step-by-step explanation: First, divide 10 by 4, which is 2.5.

Second, convert the decimal into a monetary amount, by adding a 0 at the end of the decimal, then adding a dollar sign. I hope this was helpful! FYI, I did NOT Google the explanation, it was all me!!!

Step-by-step explanation:

(x+4)(2x−5)(x−1)

----------------------c

(x+1)(x+4)(2x−5)

(x+4)^(1-1)(2x-5)^(1-1)(2x-5)^(1-1)

(x+4)°(2x−5)°(x−1)°

1×1×1

1

law of indices says that x²/x=x^(2-1)=x

Answer:

19

Step-by-step explanation:

30-26.39=3.61

3.61 divided by 0.19 = 19

hope this helps :)

Answer:

the X axis

Step-by-step explanation: The independent variable belongs on the horizontal x-axis, and the dependent variable belongs on the vertical y-axis.

Answer:

The y-axis.

Step-by-step explanation:

In this case, the number of packs of pencils determines the number of pencils you have. Remember that the x-axis is the independent variable and y-axis is the dependent variable.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer: Veronica is not correct

Explanation:

The AAA theorem, aka the AA theorem, only applies to similar triangles. We cannot use it to prove two triangles are congruent or not. We would need to know info about at least one pair of sides. So based on this diagram, we don't have enough information to know if triangle HAT is congruent to triangle PAM or not.

A similar example to this is to consider two equilateral triangles. Let's call them triangle A and triangle B. If equilateral triangle A has side lengths of 2, and has side lengths of 10, we can see that the triangles are not congruent. However, the triangles are similar because the corresponding angles equal one another. One triangle is a scaled copy of the other. This example is a counterexample as to why the AAA theorem is not a valid congruence theorem.

Answer:

\(y=1\frac{1}{3} x\)

Step-by-step explanation:

Since the line goes through the origin and is propotinal, we just do y/x

4/3= 1 1/3

y=1 1/3x

CHECK (Using desmos)

The table of values used to graph x² + 3 is the fourth table on the image given at the end of the answer.

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The function for this problem is defined as follows:

y = x² + 3.

At x = -2, the numeric value is given as follows:

y = (-2)² + 3

y = 4 + 3

y = 7.

Hence the fourth table is used.

The tables are given by the image presented at the end of the answer.

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Option D is correct, there are no extraneous solutions to the equation.

The given equation is \(\sqrt{8x+9} =x+2\)

Let us solve for x:

Take square root on both sides:

\(8x+9=(x+2)^2\)

\(8x+9=x^2+4+4x\)

Now take the variable terms and constants on one side:

\(x^2-4x-5=0\)

\(x^2-5x+1x-5=0\)

\(x(x-5)+1(x-5)=0\)

\((x+1)(x-5)=0\)

x=-1 and x=5 are solutions.

Now, we will check both solutions to find any extraneous solution as:

\(\sqrt{8x+9} =x+2\)

When x=-1

\(\sqrt{8(-1)+9} =-1+2\)

\(\sqrt{1}=1\) so, it is true.

Now check for x=5:

\(\sqrt{8(5)+9} =5+2\)

7=7

Hence, there is no extraneous solution to our given equation and option D is the correct choice.

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Complete question:

Solve the radical equation. square root of 8x+9=x+2

Which is an extraneous solution to the radical equation?

(a)x = −1

(b)x = 1

(c)x = 5

(d)There are no extraneous solutions to the equation.

160.55 is  the difference. i underlined each number i added on each line.

What is an linear equation in math?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

The two numbers are 15.75 and 176.3

First we will compare the numbers.

1. A=176.3

2. B=15.75

one's place of A is greater than once place of B.

tens place of A is greater than tens place of B.

Hundred place of A is greater than hundred place of B.

So, A>B

So  we will subtract 15.75 from 176.3.

176.30 -15.75=

176.30     ----A

- 1 5.75     ----B

Hundreths place of A - Hundreths place of B =  0-5=10-5=5

Tenth place of A  - Tenth place of B =12-7=5

ones place of A - ones place of B=5-5=0

Tens place of A - Tens place of B =7-1=6

So the solution is 160.55

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It is given that,

→ Mary has 55 pens.

→ Frazer has 12 pens.

We have to,

find what is the difference.

The formula we use,

→ Mary's pens - Frazer's pens

Let's subtract,

→ 55 - 12

→ 43 pens

Hence, difference is 43 pens.

Answer:

EF = 34

Step-by-step explanation:

EF + FG = EG , substitute values

17x + 3x + 7 = 18x + 11, that is

20x + 7 = 18x + 11 ( subtract 18x from both sides )

2x + 7 = 11 ( subtract 7 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus

EF = 17x = 17(2) = 34

Answer:

34

Step-by-step explanation:

g First, you need to find the value of x. To do this you need to add the lengths of EF and FG and set it equal to the total length of EG, then solve.

EF=17x, FG= 3x+7, EG = 18x+11

17x+3x+7=18x+11

Combine like terms.

20x+7=18x+11

-7          -18x

Isolate x.

2x = 4

Divide both sides by 2.

x=2

Now that we have the value for x, we need to plug it into the length of EF to find the numerical value.

17x = 17(2) = 34

The average number of cavities in the patients will be 2.85

The formula for the average is =\(\frac{sum of all numbers}{total numbers}\),

Where we have to sum all the numbers and then we have to divide them by the total numbers or elements.

Stepwise solution:

average =\(\frac{1+0+1+5+6+3+4}{7}\)

              =20/7

              =2.85

Therefore we found that the average number of cavities the patient has after using those data is 2.85

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Answer:

$285.20 in 14 years

Step-by-step explanation:

155 current value * 0.06 = 9.3 dollars per year

9.3x + 155 = ?

Substitute the x for 14

9.3(14) + 155 = ?

Multiple

130.2 + 155 = ?

Add them together

130.2 + 155 = 285.20

Answer:

285

Step-by-step explanation:

Answer:

a) = -8

b) 1 - (-7) = 8

b) -7 - 1 = -8

c) for both they are still the same answer so  

[1- (-7)] = 8

[-7 - 1] = -8

I'm pretty sure these are the answers hope this helped

Step-by-step explanation:

Answer:

Look at the attached screenshot!

Step-by-step explanation:

The step-by-step is shown in the screenshot!

She can read 5 pages in two hours.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Giovanni can read 250 words per minute.

and, books contain 400 pages

So, she can read the portion of book

=250/400

= 5/8 per minutes

= 5/8 x 60

=300/8

= 37.5 pages in one hour

and in 2 hours she can read

= 37.5 x 2

= 75 pages in two hours

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Answer:

30 is your constant

Step-by-step explanation:

y = 4x + 30 ends up being your equation and a constant is the # without a variable. That is why the constant would be 30.

The potters are qualified for the home loan as their total monthly payment is $831.02, which is less than $1000.00.

The total cost of the cottage along with the annual insurance and taxes is $118,000 + $710 + $2800 = $121,510.

The down payment made by the potters is $14,000. Therefore, the amount to be financed through a mortgage is $121,510 - $14,000 = $107,510.

Using the formula for the monthly payment of a mortgage, which is given by:

M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1]

where P is the principal (amount to be financed), i is the monthly interest rate, and n is the total number of monthly payments.

For a 5%, 15-year mortgage, the monthly interest rate is 0.05/12 = 0.0041667, and the total number of monthly payments is 15 x 12 = 180.

Plugging in the values, we get:

M = $107,510 [ 0.0041667 (1 + 0.0041667)^180 ] / [ (1 + 0.0041667)^180 - 1 ]

M = $831.02

Therefore, the total monthly payment for the mortgage and the annual insurance and taxes is $831.02 + $59.17 + $233.33 = $1123.52, which is more than the maximum allowed payment of $1000.00. Hence, the potters are qualified for the home loan.

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Answer:

0.63 I beleive

Step-by-step explanation:

So when you use your calculator you want to divide 6.30 divided by 10, because there are 10 razors and it is $6.30, so if you wanna know what 1 razor costs, you gotta divide how much money the razors are, and the amount of razors if that makes sense.

Answer:

an what ? this question is a bit confusing to me or im jus not having one of my smart days ..

Step-by-step explanation:

By substituting T(t) into the equation N(T), we can determine the number of bacteria. After 7.1 hours, the estimated number of bacteria is approximately _______ (rounded to the nearest whole value).

To find the composite function N(T(t)), we substitute T(t) into the equation N(T). Since T(t) = 4t + 1.8, we replace T with 4t + 1.8 in the equation N(T):

N(T(t)) = 27(4t + 1.8)² - 155(4t + 1.8) + 59.6

Simplifying the equation gives:

N(T(t)) = 27(16t² + 14.4t + 3.24) - 620t - 279 + 59.6

N(T(t)) = 432t² + 388.8t + 87.48 - 620t - 219.4

N(T(t)) = 432t² - 231.2t - 131.92

To find the number of bacteria after 7.1 hours, we substitute t = 7.1 into the equation:

N(T(7.1)) = 432(7.1)² - 231.2(7.1) - 131.92

N(T(7.1)) = 22159.392 - 1644.72 - 131.92

N(T(7.1)) ≈ 20482.772

Therefore, after 7.1 hours, the estimated number of bacteria is approximately 20,483 bacteria (rounded to the nearest whole value).

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Answer:

Yes, if it is a square or rectangle.

Step-by-step explanation:

Answer:

C   m∠B = 48°

Step-by-step explanation:

The acute angles of a right triangle are complementary which means their sum is 90

m∠A + m∠B = 90

42 + m∠B = 90

m∠B = 48°

Answer:

The answer to the question provided is possibly 2.

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: \: \: \: 3y + 77 = 2y + 79 \\ \frac{ - 2y \: \: \: \: \: \: = - 2y}{1y + 77 = 79} \\ \frac{ \: \: \: \: \: \: \: \: - 77 = - 77}{ \frac{1y}{1} = \frac{2}{1} } \\ \\ y = 2\)

The next step in the process of constructing parallel line CD is C. Set the compass width to the distance between point E and where the arc crosses line AB.

It's important to draw a line parellel to line AB. Then, on should set compasses' width to the distance where the lower arc crosses the two lines.

After that, it's vital to move the compasses to where the upper arc crosses the transverse.

In conclusion, the correct option is C.

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Answer:

The answer is A

Step-by-step explanation:

The estimated cost if they use a contractor to complete the house would be $435,000.

The cost of the house is based on what home builders typically charge for a house similar to the one Mrs. Pavlinski and her husband Zander have in mind.

In this case, the contractor's price is $150 per square foot of her home while the area of the house is given as 2,900 square feet.

Total cost = Cost per square feet x Area of house

Solving for the estimated cost gives:

= 150 x 2,900

= $435,000

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The given question is incomplete and the complete question is as follows.

"Mrs. Publinsky and her husband, Xander are planning their dream house. The lot for the house sits high on a hill with a beautiful view of the White Mountains. The plans show the size of the house to be 2,900 sq ft. The average price for a lot and house similar to this one has been 150 per sq ft. Fortunately, Xander is a retired plumber and feels he can save money by installing the plumbing himself. Mrs Publinsky feels she can take care of the interior decorating. They both feel they can complete the exterior painting with the help of their two sons."

Answer:

Hii! This is already written in slope intercept form.

For a refresher, slope intercept form is \(y=mx+b\)

\(y\) = y-coordinate

\(m\) = slope

\(x\) = x-coordinate

\(b\) = y-intercept

In this equation,

\(m\) is \(-1/2\)

\(b\) is \(-5\)

Hope this answers your questions.