Given: 3j+k/2=15-4k; Prove j=10-3k


And Given 5x-2y=x+14; Prove y=2x-7

Answer:

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

Step-by-step explanation:

Given the expression

[tex]3^{-3}\cdot 8^{-3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]

[tex]=\frac{1}{24^3}[/tex]

Thus,

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

Answer:

Completing the square on a quadratic equation in standard form results in the quadratic formula, which expresses the solutions in terms of a, b, and c. Solutions to problems that can be expressed in terms of quadratic equations were known as early as 2000 BC. Because the quadratic equation involves only one unknown, it is called " univariate "

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

f=-x^2

Step-by-step explanation:

f(-1)=x^2

-f=x^2

f=-x^2

Answer:

f(x) =x^2

Step-by-step explanation:

then

f(-1)=-1^2

f(-1)=-1

Answer:

m∠1 = 52°

m∠2 = 38°

Step-by-step explanation:

x + 33 + 2x = 90

3x = 57

x = 19

m∠1 = 19 + 33 = 52°

m∠2 = 2 ( 19 ) = 38°

Answer:

here, hope this helped. <33

Step-by-step explanation:

Answer:

the answer is P= F/(1+r)^t

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

p+12

Step-by-step explanation:

I'm assuming you want me to simplify this equation. Okay, first, we eliminate the redundant parenthesis. Now, we have 6p+4+-5p+8, we can simplify this to 6p+4-5p+8 because adding a negative has the same effect as subtraction. Now, we combine like terms (6p and -5p, and 4 and 8). From this, we have 1p+12 (4+8=12, and 6p-5p=1p, or just p). We can simplify this even more to get p+12. I hope this helps!

Answer:

I got 9 rocks and 6 fossils and my friend got 27 rocks and 3 fossils

Step-by-step explanation:

Step-by-step explanation:

I don't really get the question...

Answer:

The game costs $9

Step-by-step explanation:

I wrote an equation using the variable "t" for the total cost of the game.

6=2/3t

t=6/2/3

t=(6/1)(3/2)

t=18/2

t=9

Answer:

12 x 3 = 36

Step-by-step explanation:

So it’s 36

Answer:

48 holes

Step-by-step explanation:

find the unit rate, 12 holes in 3 minutes means 4 holes in 1 minute. to find how many holes in 12 minutes, multiply 4 by 12, you will get 48.

Answer:

your answer will be $29.

1 LB= $4

4 Oz = $1

hii

3x-1/5=x+1/3

3[3x-1]=5[x+1]

9x-3=5x+5

9x-5x=5-3

4x=2

x=2/4

x=1/2

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

Answer:

X=1/2

Step-by-step explanation:

x=2/4

x=1/2

Answer:

d - collecting taxes should be the answer

Answer:

Collecting taxes

Step-by-step explanation:

Concurent powers are powers that can be used by both states and federal governments.

Answer:

Step-by-step explanation:

You'll use similar triangles to solve this. Set up 2 ratios as a proportion. First, however, you have to convert the 15 inches to feet. If everything else is in feet, then EVERYTHING has to be in feet. 15 inches is equal to 1.25 feet. Now for the equation:

[tex]\frac{3}{x} =\frac{1.25}{6}[/tex]

The first fraction is made up of the heights, 3 being the height of the plumb bob and x being our unknown height of the flagpole; the second fraction is made up of the distances on the ground. Cross multiply to solve:

1.25x = 18 so

x = 14.4 feet, or 14 feet, 4.8 inches

Answer:

C. 10x^2    

Step-by-step explanation:

Answer:

y=-6

Step-by-step explanation:

First, find the slope of the two coordinates using the slope formula:

Slope formula: y2-y1/x2-x1

Plug the numbers into the formula and solve:

-6--6/-9-3 = 0

Now,use the slope and one of  the coordinates to put the line in point-slope form

Point slope: y-y1=m(x-x1)

y+6=0(x-3)

Simplify

y+6=0-0

y=-6

Answer:

no. I'm pretty sure it's not

Answer:

True false false

Step-by-step explanation:

The following statements can be considered true or false as the case may be as follows;

Discussion:

The function takes the form;

Ultimately,

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Answer:

32 and 5n + 2

Step-by-step explanation:

(a)

The pattern of the number of sticks is

7, 12, 17

There is a common difference of 5 between consecutive terms.

Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is

a₄ = 17 + 5 = 22

a₅ = 22 + 5 = 27

a₆ = 27 + 5 = 32

There are 32 sticks in pattern number 6

(b)

The sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

Where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

[tex]a_{n}[/tex] = 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2

number of sticks in pattern number n is 5n + 2

32 and 5n + 2

Step-by-step explanation:

(a)

The pattern of the number of sticks is

7, 12, 17

There is a common difference of 5 between consecutive terms.

Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is

a₄ = 17 + 5 = 22

a₅ = 22 + 5 = 27

a₆ = 27 + 5 = 32

There are 32 sticks in pattern number 6

(b)

The sequence is arithmetic with n th term

= a₁ + (n - 1)d

Where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

= 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2

number of sticks in pattern number n is 5n + 2

Answer:

Cancerous growth

Step-by-step explanation:

For example, a tumor would be found in MRIs and will have a significant impact on the results and interpretation of a functional MRI. A tumor that is cancerously growing is very crucial to the function of an MRI

I hope this helps

The functional MRI also known as fMRI monitors brain anatomy activity

The factor that is least likely to affect the results and interpretation of a

functional MRI is; C. A sinus infection.

Reasons:

MRI stands for magnetic resonance imaging, and it is used to generate

images of the interior of items, such as the human body, without opening

the body, by producing strong magnetic fields, from the built in powerful

magnets.

The parts of the body that are examined by an MRI scan includes, the

internal organs, blood vessels, brain, and spinal cord.

The MRI scan works by tracking radio signals sent by protons in the body

which vary based on the type of tissue.

Due to the requirement for the patient to remain stationary during the

scan, medication may be given. It is also important to not take caffeinated

drinks prior to the examination.

A functional MRI is used to monitor the functioning of the brain's anatomy,

by blood flow change detection.

Therefore, the factor that is least likely to affect the result and

interpretation of a functional MRI is a sinus infection which is the

inflammation of the sinus lining and mucus presence, that rarely cause

neurologic complications.

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Answer:

x=24

Step-by-step explanation:

x/6=4

4*6=x

x=24

Answer:THE ANSWER IS C HOPE THIS HELPS ANY

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

differnece = subtraction

36-29 = 7

Hope this helps plz hit the crown :D

Answer:

seven

Step-by-step explanation:

36 - 29 = 7

unless their birthday months are something like:

mom - 3rd of may

father - 8 of november

then technically it's 6 years and a few months but it's not that deep haha

The inequality equation is x > 3 and the graph is plotted

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

3(8 - 4x) < 6(x - 5)

24 - 12x < 6x - 30 (Distributive property)

Adding 30 and 12x on both sides , we get

24 + 30 < 6x + 12x

On further simplification , we get

54 < 18x

Divide by 18 on both sides , we get

x > 3

Hence , the inequality is x > 3

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Answer:

y + 4 = (16/81)(x - 10)

Step-by-step explanation:

The general formula for a parabola passing through (x, y) and with vertex (h, k) is                  y - k = a(x - h)^2.

Here we are told that x = 1, y = 12, h = 10 and k = -4, which gives us:

                         12 + 4 = a(1 - 10)^2, or

                              16  =  81a

Then a = 16/81, and the desired parabola is

                                  y + 4 = (16/81)(x - 10)

Answer:

Yes he is correct because -12 and 12 are the opposite.

Step-by-step explanation:

Answer:

He is correct because the numbers are in opposite directions on the number line, and their distances from 0 on the vertical number line are equal