Write the equation of a line that is parallel to the line y=3/2x-4 and contains the point (6,-1)

Answer:

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.

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.

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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Answer:

11m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define expression

2(5m) + m

Step 2: Simplify

Answer:

11m

Step-by-step explanation:

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

Answer:

x=10 degrees

Step-by-step explanation:

8x-12=6x+8

2x=20

x=10

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

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

Answer:

4.8

Step-by-step explanation:

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!

Answer:

Step-by-step explanation:

Is there another part to the question? Maybe the original function?

Answer:

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

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

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.

Answer:

X^2 -5x -36

Step-by-step explanation:

formula of an area of a rectangle: ab

a-length

b-width

(x+4)*(x-9) = x^2 -5x -36

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:

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!

Answer:

Step-by-step explanation:3/-1

Answer:

The answer is a^6 b^18

Step-by-step explanation:

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:

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

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 .

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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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

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.

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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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)

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:

Answer:

4x-32

Step-by-step explanation:

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

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!

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).

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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