what is the area of a rectangle that has a height of 7x^2 and a width of 3x^2+8x+7​

Answers

Answer 1

Answer:

21x^4 + 8x + 7

Step-by-step explanation:

This is the answer because:

1) Simplify each term and multiply like terms and multiply them because in order to find the area we have to multiply the height and width.

2) Since we have to multiply like terms, 7x^2 and 3x^2 are the only like terms. Therefore, we multiply 7x^2 * 3x^2 = 21x^4.

3) The rest of the numbers are not like terms.

4) Therefore, the answer is 21x^4 + 8x + 7

Hope this helps!


Related Questions

A heater raises the temperature in a room by 3 degrees Celsius per hour. What is the rate in degrees Fahrenheit per minute? Hint: search for convert celsius to fahrenheit

Answers

Answer:

...you can just look up a Fahenheit to Celsius/vice versa/ calculator. it would have been so much faster and easier, but *sigh*

approx. 0.623 F per minute

Step-by-step explanation:

Find the product
1. (-3) (8)
2. (-12)(-8)
3. -72 ÷ (-9)

Answers

Answer: 1.) -24

2.) 96

3.) 8

Step-by-step explanation:

1.) A negative number multiplied times a positive number will automatically equal a negative answer. Ex: (-9) (5) = -45

2.) A negative number multiplied times a negative number will autimatically equal a positive answer. Ex: (-4) (-5) = 20

3.) This is the same as the statement above, but all you're doing this time is dividing. A negative number divided by a negative number will equal a positive number. Ex: -36 ÷ (-9) = 4

At his birthday party, Mr Green would not directly tell how old he was. He said, "If you add the year of my birth to this year, subtract the year of my tenth birthday and the year of my fiftieth birthday, then add my age, the result is 122". How old is Mr Green

Answers

Answer:

61 years old in the year 2020

Step-by-step explanation:

Let us assume the question was asked in the year 2020, that is this year

Say that Mr. Green was born in year x

The mathematical expression for his statement is given as

[tex]x + 2020 - (x + 10 + x + 50) + (2020 - x) = 122[/tex]

Solve for x

x + 2020 + 2020 - x - x - 60 - x = 122

4040- 122- 2x = 0

3918= 2x

divide both sides by 2

3918/2= x

x=1959

He was born in 1959, so now

he is (2020-1959)

=61 years old.

Answer i will brainlist this is a give me

Answers

Answer:

B

Step-by-step explanation:

3^4/3^2 = 3^(4-2)=3^2=9

Answer:

9

Step-by-step explanation:

3^4 is 81

3^2 is 9

81/9 is 9!

HELP FAST !!! PLEASE

Solve the system by substitution.
y = -5x + 40
y = 3x

Answers

Answer:

X=5 y=15

Step-by-step explanation:

you got to solve the first variable in the first equation, then substitute the result in to the other.

Solution for the system of equations y = -5x + 40 and y = 3x are:

x = 5 , y = 15 .

What is substitution method?

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Given equations

y = -5x + 40   ------(a)

y = 3x           -------(b)

Substituting value of y from equation (b) to equation(a)

3x = -5x + 40

⇒ 3x + 5x = 40

⇒ 8x = 40

⇒ x = 40/8

⇒ x = 5

Substituting value of x in equation (b)

y = 3 × 5

⇒ y = 15

Hence, x = 5 and y = 15 are the solutions

for the system of equations

y = -5x + 40 and y = 3x

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3(2^2x+3)-5(2^x+2)-156=0 in logarithm form

Answers

Answer:12x-157-5.2x

Step-by-step explanation:Like this or you want us to solve it lol

The given equation can be written in logarithmic form as  xlog(2) + log(3 × 2ˣ - 5) = log(157).

What is Logarithm?

Logarithm function is defined as the inverse of the exponential function.

If a^(b) = c, then b = log(c) at the base of a.

Logarithm of any number is always positive.

For negative numbers, the logarithm are complex numbers.

The given equation is [tex]3(2^{2x}+3)-5(2^{x} + 2)-156 = 0[/tex]

Suppose 2ˣ be t, then the equation can be rewritten as,

3(t² + 3) - 5(t + 2) - 156 = 0

⇒ 3t² - 5t = 157

⇒ t(3t - 5) = 157

Take logarithm both sides to get,

log(t(3t - 5)) = log(157)

Use the property log(ab) = log(a) + log(b) to get,

log(t) + log(3t - 5) = log(157)

Substitute t = 2ˣ as and apply log(aⁿ) = nlog(a) as,

xlog(2) + log(3 × 2ˣ - 5) = log(157)

Hence, the logarithm form of the given equation is obtained as xlog(2) + log(3 × 2ˣ - 5) = log(157).

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A(5, 8) and B(-1,-4)

Find the coordinates of the midpoint

Answers

Answer:

[tex]m = (2,6)[/tex]

Step-by-step explanation:

Given

A(5, 8) and B(-1,-4)

Required

Determine the midpoint

Represent the midpoint with m

m is calculated as thus:

[tex]m = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

Where:

[tex](x_1,y_1) = (5,8)[/tex] ---- A

[tex](x_2,y_2) = (-1,4)[/tex] ------ B

So, the expression:

[tex]m = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

becomes

[tex]m = (\frac{5 -1}{2},\frac{8 + 4}{2})[/tex]

[tex]m = (\frac{4}{2},\frac{12}{2})[/tex]

[tex]m = (2,6)[/tex]

Hence, the coordinates of the midpoint is: (2,6)

the answer is m = (2,6) hope this helps !

Uncle Drew scored 28 points in 5 minutes during a game. Write an equation that shows the relationship between, P, points and, M, minutes played. P= OR M=

Answers

Answer:

4.8

Step-by-step explanation:

Find the slope of the line.....​

Answers

Second choice, m = 4

Step-by-step explanation:

y = 4x - 10

y = mx + b, m is the slope, and in the equation 4 is replacing m therefore 4 is the slope.

(If u want to know, yes I wrote third instead of second but at least it's edited noe)

Answer:

m=4

Step-by-step explanation:

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Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

which is equivalent to 2(5m)+m? options are 11m, 12m, 5m+2 or 7m+2m

Answers

Answer:

11m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define expression

2(5m) + m

Step 2: Simplify

Multiply:                    10m + mAdd:                          11m

Answer:

11m

Step-by-step explanation:

2 times 5m equals 10m and 10m plus m equals 11m

What is 7.504-2.3792 rounded to the hundred

Answers

Answer:

0

Step-by-step explanation:

First what we have to do is subtract 7.504 and 2.3792 7.504 - 2.3792 = 5.1248then what we do isfind the number in the number in the hundreds place 0 and look one place to the to the right for the rounding digit 0. Round up if this number is greater than or equal to 5 and round down if less than five.

Since zero is less than five we would round down

so our answer is zero

Hope this helps

Hope u get it right

The mean is 0.500 and the standard deviation is 1.84 x 10-3. Gaussian Statistics Apply. How many replicate determinations are necessary if the standard error of the mean is not to exceed 0.100%

Answers

Answer:

I don't know but do you know how to answer this:

Two similar right triangles have areas of 6 square inches and

150 square inches. The length of the hypotenuse of the smaller

triangle is 5 inches. What is the sum of the lengths of the legs

of the larger triangle?  

Answer:

:>

Step-by-step explanation:

72 is 45% of what number

Answers

Answer:

72 is 45% of 160. I hope this helps :D

not sure need help ​

Answers

Answer:

x=10 degrees

Step-by-step explanation:

8x-12=6x+8

2x=20

x=10

A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is _____ as large as the principal times the monthly interest rate.

Answers

Answer:

at least

Step-by-step explanation:

A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is AT LEAST as large as the principal times the monthly interest rate.

The correct word that missing in the statement is at least.

Given that, a statment is given we have to determine which word is missing the statment.

What is the investment?

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.

The monthly payment being at least equal to the principal multiplied by the monthly interest rate is a reasonable estimate for a long-term loan with a moderate or high-interest rate. So the correct statement is given as,
"A fairly good estimate for a long-term loan with a moderate or high-interest rate is that the monthly payment is at least as large as the principal times the monthly interest rate."

Thus, the correct word that missing in the statement is at least.

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The range of a set of scores is 27, and the lowest score is 39. Write and
solve an equation to find the highest score. (Hint: In data sets, the range is
the difference between the highest and the lowest values.) *​

Answers

Answer: The highest score is 66

Step-by-step explanation: First we need to set the problem up.

x - 39 = 27

Next solve the problem.

Get x by itself by getting rid of the negative 39

x - 39 + 39 = 27 + 39

Add/Subtract

x = 66

You don’t need to simplify anymore so leave the problem alone since you already have the answer.

Hope it helped you guys!

uhmm you guys know what
4x -8 by 4 is? please with solution so i can understand

Answers

Answer:

4x-32

Step-by-step explanation:

first multiply the numbers so 8x4 is 32 so 4x-32

2

Viviana is ordering carpet

for 16 square rooms in a

hotel. Each room will need

100 square feet of

carpet. What is the

length of 1 room?

Answers

Answer:

Length of a room is 10ft

Step-by-step explanation:

Given

[tex]Rooms = 16[/tex]

[tex]Carpet\ Area = 100ft^2[/tex]

Required

Determine the length of each room

Here, we'll assume that the carpet will cover each room completely.

If so:

[tex]Carpet\ Area = Length * Length[/tex]

[tex]100ft^2 = Length * Length[/tex]

[tex]100ft^2 = Length^2[/tex]

Take square root of both sides

[tex]\sqrt{100ft^2} = \sqrt{Length^2}[/tex]

[tex]\sqrt{100ft^2} = Length[/tex]

Take positive square root

[tex]10ft = Length[/tex]

[tex]Length = 10ft[/tex]

Hence, the length of a room is 10ft

What is the value of the digit 2 in the number 48.52?

A: 2/10
B: 1/2
C: 2/100
D: 1/20

Answers

C. 2/100....
48.52=48+0.50+0.02
Also, 0.02=2/100
Hope it helps!

Yes, AA
Yes, SAS
Not similar
Yes, SSS

Answers

Answer:

Yes, AA

Step-by-step explanation:

These triangles are similar because 2 angles in each triangle are congruent.

Element X decays radioactively with a half life of 9 minutes. If there are 610grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 124 grams?
y = a(.5) t/h

Answers

A half-life of 9 minutes corresponds to a decay factor k such that

[tex]\dfrac12=e^{9k}\implies k=-\dfrac19\ln\left(\dfrac12\right)[/tex]

Then the time it takes for the substance to decay from 610 g to 124 g is time t such that

[tex]124\,\mathrm g=(610\,\mathrm g)e^{kt}[/tex]

Solve for t :

[tex]\dfrac{62}{305}=e^{kt}[/tex]

[tex]\ln\left(\dfrac{62}{305}\right)=kt[/tex]

[tex]t=\dfrac1k\ln\left(\dfrac{62}{305}\right)\approx20.686[/tex]

so it takes about 20.7 min for the 610 g sample to decay down to 124 g.

A normal body temperature for a human is approximately 98°F. What is this temperature in degrees Celsius? Round your answer to the nearest 10th.

Answers

Answer:

36.67

Step-by-step explanation:

when you solbe you get 36.667 then round to become 36.67

Answer:

37°C

Step-by-step explanation:

The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,

➳ C/5 = F -32/9

➳ C/5 = 98 - 32/9

➳ C/5 = 66/9

➳ C = 66/9 × 5

➳ C = 36.66 °C ≈ 37°C

Hence the body temperature in Celsius measure is 37°C .

Sam's new room is square, and each side measures 15 feet. What is the
area of the room?

Answers

Answer:

225 feet

Step-by-step explanation:

Square sides are always the same size so just multiply 15x15.

Area= 15^2
Area = 225 feet

I need help guys, what's the line segment of PN.

Answers

Answer:

It's a shared side???? It's a leg of a right triangle??? What are you specifically asking for? I need numbers

Step-by-step explanation:

im scared to tell my parents im gay plz give me motivation

Answers

If they don’t accept you just know that there are so many people that care about you and we have your back :,)

Same here love!! Remember that if the living environment can get dangerous that it's better to stay in the closet, but besides that Good luck!

One of the ancient stone pyramids in Egypt has a square base that measures 142 m on each side. The height is 93 m. What is the volume of the​ pyramid?

Answers

Step-by-step explanation:

V

=

a

2

h

3

=

142

2

·

93

3

=

6.25084×105

The volume of the ancient stone pyramids in Egypt with a side of 142 m and a height of 93 m is 652,084 m³.

What is a pentahedron?

A Square Pyramid is a pyramid with the base as a square. It is also known as pentahedron. It has 5 faces out of which 4 are triangles while 1 is a square.

The volume of the square pyramid is one-third of the product of the area of the square and the height of the pyramid. Thus, the volume of the square pyramid with a side length of 142 m and a height of 93 m can be written as,

[tex]\rm \text{Volume of square pyramid} = \dfrac13 \times \text{(Area of square)} \times Height[/tex]

                                          [tex]= \dfrac13 \times (142)^2 \times 93\\\\= 625,084\rm\ m^3[/tex]

Hence, the volume of the ancient stone pyramids in Egypt with a side of 142 m and a height of 93 m is 652,084 m³.

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In △ABC, G is the centroid. If CG=12 find CD.

Answers

Answer:

CD = 24

Step-by-step explanation:

If G is the centroid, then CG = GD. (12 = 12)

Since CD is CG and GD combined, we would just add these two numbers to find the total length of CD.

CG + GD = CD

12 + 12 = 24

1- Karla necesita conocer el
espacio que ocupa una caja de
zapatos en su ropero, la cual
tiene las dimensiones descritas
en la imagen. ¿Cuál es la
expresión que representa el
volumen de la caja de zapatos?
.
a) 15cmx5 cmx 7 cm
b) 15 cm + 5 cm + 7 cm
c) 15 cm x 5 cm + 7 cm
d) 15 cm + 5 cm x 7 cm

Answers

Responder:

a) 15 cm x 5 cm x 7 cm Explicación paso a paso:

Nota: no se adjuntó ninguna imagen a esta pregunta, sin embargo, podemos proceder a una solución a este problema.

Paso uno: Datos dados Podemos deducir de las opciones que los parámetros de la caja son los siguientes

Largo L = 15cm

Ancho W = 5cm

Altura H = 7 cm

Segundo paso: El espacio que ocupa la caja en el armario es equivalente al volumen de la caja. Por tanto, el volumen de la caja se expresa como

Volumen = L * W * H

Volumen = 15 cm * 5 cm * 7 cm

Por tanto, la opción A es correcta

plz do this ill mark brainly​

Answers

Answer:

7+(−2) = 7 − 2 = 5

Step-by-step explanation:

Answer:

The Positive number has to be greater than the negative number you are adding with.

Example(s):

-30 + 35 = 5

-65 + 70 = 5

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