3n+7 write the first five terms

Hello!

- it is rectangular: it has a right angle

- but it is also isosceles: it has two equal sides starting from the right angle

so this triangle is an iscoceles right triangle

The annual premium of Susie's insurance company apply as a result of accident is $255 for an year. This is because the monthly insurance payment has been increased by $21.25.

What is Health insurance?

Health insurance or the medical insurance is an insurance which covers the whole or a part of the risk of a person which is incurring the medical expenses. Depending upon the health insurance plan, the risk is shared among many individuals.

Main body:

The increase in monthly insurance payment = $21.25

So, the annual increase in the premium amount paid by Susie will be:

Monthly increase in insurance payment × 12

(As there are 12 months in an year)

Annual increase in premium amount = $21.25 × 12

Annual increase in premium amount = $255

Therefore, the annual increase in the amount of premium paid by Susie for health insurance is $225.

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Answer:

184$

Step-by-step explanation:

Answer:

$184

Step-by-step explanation:

230 ÷ 100= 2.3

2.3 x 20%= 46

230- 46= 184

Answer:

68 Degrees

Step-by-step explanation:

A triangle is 180 degrees. So,

Add 75 + 37 = 112

Subtract 112 from 180 = 68

Answer: 68°

Step-by-step explanation: To find the missing angle measure, represented by x, it's important to understand that the sum of the measures of the angles of a triangle is 180°

So to find the value of x, we can

setup the equation x + 75° + 37° = 180°.

Solving from here, we first simplify the left side of the equation.

So 75 + 37 is 112 and we have x + 112° = 180°

Next, to get x by itself, we subtract 112° from both sides.

On the left, the 112's cancel out and we are left with x.

On the right, 180° - 112° is 68°.

So x = 68°.

This means that the missing angle

measure in the triangle shown is 68°.

The width of the rectangle is 7m and the length of the rectangle is 10m.

A rectangle is a quadrilateral that is a four sided polygon with two opposite sides parallel and equal.

Let the width of the rectangle be x.

Therefore the length of the rectangle = x + 3.

Area of a rectangle = length * width

Area = (x + 3) (x)

Open bracket;

Area = x² + 3x

We are given the area = 70 m².

Therefore,

70 = x² + 3x

x² + 3x - 70 = 0

Solve quadratically using the factorization method by finding two factors of -70 that add up to give 3 the coefficient of x.

Factors = 10 and -7 which add up to 3.

Rewrite the equation;

x² + 10x - 7x - 70 = 0

x( x + 10) - 7 ( x + 10) = 0

(x - 7) (x + 10) = 0

x - 7 = 0 or x + 10 = 0

x = 7 or x = -10

x = 7m because the width can't be negative.

Therefore,

Length = x + 3 = 7 + 3 = 10 m

Therefore, the width of the rectangle is 7m and the length of the rectangle is 10m.

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Answer:

Either do 28+28+28, etc. 38 times, or follow the diagram I attached.

If you want to know more about what I did in the attachment, just ask <3

Answer:

Start by multiplying the ones: 6 times 28 is 168. Next, multiply the tens: 30 times 28 is 840. Add the products to get 1,008.

Step-by-step explanation:

The expression is equivalent to "\(z^4 * (z + 6)^2 + (z + 6)\)".

To clarify, I understand the expression as: "z * (z + 6) * z * (z + 6) * z + (z + 6)". Let's break down the expression and simplify it step by step:

Distribute the multiplication:

z * (z + 6) * z * (z + 6) * z + (z + 6)

becomes

z * z * z * (z + 6) * (z + 6) * z + (z + 6)

Combine like terms:

z * z * z simplifies to \(z^3\)

(z + 6) * (z + 6) simplifies to (z + 6)^2

The expression now becomes:

\(z^3 * (z + 6)^2 * z + (z + 6)\)

Multiply \(z^3\) and z:

 \(z^3 * z\) simplifies to \(z^4\)

The expression becomes:

  \(z^4 * (z + 6)^2 + (z + 6)\)

So, an equivalent expression to "z (z + 6)z (z + 6)z + (z + 6)" is "\(z^4 * (z + 6)^2 + (z + 6)\)".

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Answer:

I think C is the answer .

Step-by-step explanation:

If (x-6) and (x-1) are the factors of function f then remainder of function f is 0.

(x-6)(x-1) = 0

Either,

x-6 = 0

x = 6

and

x-1 = 0

x = 1

so 6 and 1 are the zeros or roots of function f.

Answer:

the answer is 1 and 6 :D

Step-by-step explanation:

(a) The value of p(x) is 0.15 when x = 3.

(b) The mean of the discrete random variable is 0.1

What is meaning of discrete random variable?

A discrete random variable has a countable number of different possible values, such as 0,1,2,3,4, etc. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values.

Given table is

X        0         1          2        3

P(x)  0.72     0.11    0.02  

The sum of the probability of an event is 1.

Therefore

P(0) + P(1) + P(2) + P(3) = 1

Putting the value of P(0), P(1), P(2)

0.72 + 0.11 + 0.02 + P(3) = 1

0.85 + P(3) = 1

P(3) = 1- 0.85

P(3) = 0 .15

The mean of the discreate random variable is Σ xp(x) / Σ x

=[(0 × P(0)) + (1 × P(1)) + (2 × P(2)) + (3 × P(3))]/(0 + 1 + 2 + 3)

= (0 + 0.11 + 0.04 + 0.45) / 6

= 0 .1

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Answer:

multiple

Step-by-step explanation:

I had the same question and guessed and that was the answer lol

Answer:

Option A is correct.

Step-by-step explanation:

Given

To determine

What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where

substituting the values m = 1/4 and the point (4, -8)

\(y-y_1=m\left(x-x_1\right)\)

\(y-\left(-8\right)=\frac{1}{4}\left(x-4\right)\)

\(y+8=\frac{1}{4}\left(x-4\right)\)

Subtract 8 from both sides

\(y+8-8=\frac{1}{4}\left(x-4\right)-8\)

\(y=\frac{1}{4}x-1-8\)

\(y=\frac{1}{4}x-9\)

Writing the equation in the standard form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

so

\(y=\frac{1}{4}x-9\)

\(x=4y+36\)

\(x - 4y = 36\)

Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:

\(x - 4y = 36\)

Hence, option A is correct.

The bug's acceleration at any given time, t, is 0 when the location of a large traveling down the x axis is given by x(t)=at+b.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

f(t)=at+b

f'(t)=a

f''(t)=0

The acceleration of the bug at any given time, t is 0 when position of a big moving along the x axis is given by x(t)=at+b.

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Answer:

I would say transroptation!

The size of the given table is 4 x 6 . A table is a group of data arranged in rows and columns. It's a method of organizing and displaying data in a logical manner Therefore, the size of the table is 4 x 6. Answer: C) 4 x 6..

Tables can be used to compare, show relationships, and reveal patterns in data. They're widely used in statistical analyses and scientific reports .

The size of the table refers to the number of rows and columns in the table. The number of rows is referred to as the table's width, while the number of columns is referred to as the table's height. To determine the size of a table, count the number of rows and columns.  For instance, in the given table below,

Rows: C1Columns: Worksheet columns A B C D FAll0 hours1 4 10 5 5 25< 2 hours4 6 10 1 1 22>=2 hours7 5 5 0 0 17All12 15 25 6 6 64The table has 4 rows and 6 columns. Therefore, the size of the table is 4 x 6. Answer: C) 4 x 6.

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The Bodmas rule states that we have to solve the operations that are in brackets first, then we have to solve the operations of division and multiplication from left to right, and finally we have to solve the operations of addition and subtraction from left to right.

Given that `(5+3)j = 48`.To find the value of j, we can follow the below steps;`

8j = 48` Dividing both sides by

8. `j = 6`

Therefore, the value of j that makes `(5+3)j=48` a true statement is 6.

Hence, the correct answer is `6`.

Note: Here, we have multiplied `5+3` first, then multiplied with j, as we need to apply the BODMAS rule to solve the given equation.

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Answer:

Step-by-step explanation:

r=5 ×90/100=4.5 in

h=6×90/100=5.4 in

a.

volume of original cylinder=π×5²×6=150 π≈471.24 in³

b.

volume of new cylinder=π×4.5²×5.4=109.35 π in³≈343.53 in ³

c.

decrease in volume=150 π-109.35 π=40.65π

% decrease=(40.65 π)/150 π×100=4065/150=1355/50=27.1 %

Answer:

A

Step-by-step explanation:

3x^2-2x+4-5x^2+6x-8 = -2x^2-8x+12

Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

Answer:

the answer is d

Step-by-step explanation:

Answer:

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

y=mx+b

Rewrite in slope-intercept form.

y= −1/2x+8

Step-by-step explanation:

Hope it is helpful...

Hey there!

The answer is y = \(\frac{-1}{2}\)x + 8

To put it into slope-intercept form, we must get "y" by itself on one side of the equation. First, to do this, we will subtract "x" from both sides.

2y = -x + 16

Lastly, we divide both sides by 2

y = \(\frac{-1}{2}\)x + 8

Have a super awesome day! :)

Answer:

The graph goes down (translates) by 5

Transaltes: -5

Step-by-step explanation:

The y intercept has been changed

The width of a rectangle is 4 units less than the length. The width, in units, of the rectangle is 2 units.

Represent the length and width by L and W.

Then W = L - 4.

The area of the rectangle is 12 units

= Length x width  

=  L x W

=  L(L - 4)

=L^2 - 4L = 12

L^2 -4L - 12 = 0

Now on solving this quadratic equation we get

L^2 -4L - 12 = 0

L^2 - 6L  + 2L -12 = 0

L(L - 6 ) -2(L - 6) = 0

(L-6)(L-2) = 0

This factors easily into

(L - 2)(L - 6) = 0

so L must be 2,6.  

When L = 2

The width of the rectangle is W = L - 4 = 2 - 4 = -2 units.

We ignore the negative values.

when L= 6

The width of the rectangle is W = L - 4 = 6 - 4 = 2 units.

The width of a rectangle is 4 units less than the length. The width, in units, of the rectangle is 2 units.

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Answer:

2 WEEKS 9 DOLLARS

Step-by-step explanation:

EVERY TIME MULTIPLY BY 3 WITH EACH ANSWER

3X1=3

3X3=9

3X9=27

The amount of the money deposited by Rick in 2 weeks is 9 dollars.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Rick deposits $3 into his bank account. The following week, he deposits 3 times that amount. Each week after that, he deposits 3 times the amount he did the previous week.

The amount of money deposited every week is solved as below,

3 X 1 = 3

3 X 3 = 9

3 X 9 = 27

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Answer:

What is (2+0.4+0.6)

First we have to arrange the numbers in sequence...

\(2.0 \: + \: 0.4 \: + 0.6 \\ 3.0 \: or \: 3\)

Here I have taken this 0 after the point ..as the rest of the digit are in tenths place or after the point...

The answer is 3.

We will not calculate the 0 as it does not have any value.

Ans) 3