Can you find the square root of 250 with prime factorisation without using calculator or is it not possible? ​

Answer:

x = 34

Step-by-step explanation:

x/3  - 7/3 = 9

Combine like terms

(x-7)/3 = 9

Multiply each side by 3

(x-7)/3 * 3 = 9*3

x-7 = 27

Add 7 to each side

x-7+7 = 27+7

x = 34

Answer:

27/3 = 9

Step-by-step explanation:

"How many times does 3 go into 27?" is the same as asking "How much is 27 divided by 3?" Thus, the answer can be calculated as follows:

27/3 = 9"How many times does 3 go into 27?" is also the same as asking "What (x) do you multiply by 3 to get 27?" We solve the problem with an easy algebra equation:

3(x) = 27

x = 9

Tip: When you get a question like "How many times does 3 go into 27?", just think of it as how many times you can fit 3 into 27.

The answer on this page is rounded to the nearest decimal if necessary.

Answer:

x^4−5x^3+10x^2−12x+7

Step-by-step explanation:

Distribute:

=(x^3)(x)+(x^3)(−1)+(−2x^2)(x)+(−2x^2)(−1)+(3x)(x)+(3x)(−1)+(−4)(x)+(−4)(−1)+−2x^3+5x^2+−5x+3

=x^4+−x^3+−2x^3+2x^2+3x^2+−3x+−4x+4+−2x^3+5x^2+−5x+3

Combine Like Terms:

=x^4+−x^3+−2x^3+2x^2+3x^2+−3x+−4x+4+−2x^3+5x^2+−5x+3

=(x^4)+(−x^3+−2x^3+−2x^3)+(2x^2+3x^2+5x^2)+(−3x+−4x+−5x)+(4+3)

=x^4+−5x^3+10x^2+−12x+7

Answer:

0

because -8 powered 2 and -8 powered 2 is same. 64-64=0

Step-by-step explanation:

Answer:

After 6 minutes, the oven temperature will be: [tex]125^o[/tex]

Step-by-step explanation:

If the increase in temperature is [tex]10^o[/tex] per minute, then in 6 minutes, the increase in temperature would be [tex]6\,*\,10^o=60^o[/tex], therefore, since the initial temperature of the oven was [tex]65^o[/tex], its temperature after 6 minutes would be:

[tex]65^o+60^o=125^o[/tex]

Answer:

Letter B because it is less than. < is less than

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

c < 27.50

The sign < means less than.

Plug the numbers in and you've got:

The cost is less than $27.50

Good luck mate :)

please help me with my homework

Answer:

46.91%

Step-by-step explanation:

The first solution contains 11 * 0.25 = 2.75 L of vinegar

The second solution contains 12 * 0.67 = 8.04 L of vinegar

When mixed together, that adds up to 8.04 + 2.75 = 10.79 L of vinegar

The total volume of the combined solutions is 11 + 12 = 23 L of solution

So the new concentration is 10.79/23 ≈ 0.4691 ≈ 46.91%

Answer:

B

Given equation: [tex]x^2 = -8x -7[/tex]

To solve the quadratic equation, we will need to set one side of the equation equal to 0. This can be done by subtracting x² on both sides.

[tex]\implies x^2 - x^2= -8x -7 - x^2[/tex]

[tex]\implies 0= -8x -7 - x^2[/tex]

To further simplify, we can factor -1 from the expression on the R.H.S. Then, we can cancel the -1 since there is a 0 on the other side.

[tex]\implies 0= -1(8x + 7 + x^2)[/tex]

[tex]\implies 0= 8x + 7 + x^2 = x^2 + 8x + 7[/tex]

Finally, factor the expression on the right hand side.

Factoring a quadratic equation can be done in 2 ways.

In this method, we split the middle term into two suitable terms. The suitable terms must follow two conditions.

Then, we factor the first two terms of the expression and the last two terms of the expression. Eventually, we will get a common expression. So, we can further factorize to get a product of two expressions.

In this method, we will compare our equation with the standard form equation to determine the a, b, and c variables. Then, we plug the variables into the formula and simplify to get the roots (solutions).

[tex]\text{Quadratic Formula:} \ \dfrac{-b\ \± \sqrt{b^{2} - 4ac} }{2a}[/tex]

We can use any method to solve for the roots. First, let us check whether the middle term could be split into two suitable terms such that those terms could meet the criteria stated above.

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

We can see that 8x is the middle term and it can be split into the sum of 7x and x. The product of the (middle term) coefficients is 7. The product of the coefficients (first and last terms) is also 7. Since both products match, we can use the splitting method to factorize the expression.

[tex]\implies 0= x^2 + 8x+ 7[/tex]

[tex]\implies 0= x^2 + x + 7x+ 7[/tex]

Now, factor the first two terms and the last two terms separately.

[tex]\implies 0= x^2 + x + 7x+ 7[/tex]

[tex]\implies 0= x(x + 1) + 7(x+ 1)[/tex]

We can see a common expression. Finally, let us factor the common expression to get a product of two expressions.

[tex]\implies 0= (x + 7)(x + 1)[/tex]

Since the factorized expression equals to 0, we can set each expression (inside the parentheses) equal to 0.

[tex]\implies x + 7 = 0; x + 1 = 0[/tex]

[tex]\implies x = -7; x = -1[/tex]

Now, let us try to solve using the Quadratic formula.

[tex]0= x^2 + 8x+ 7[/tex]

Tip: Standard form: 0 = ax² + bx + c

Comparing both equations will allow us to determine the a, b, c variables.

⇒ a = 1; b = 8; c = 7

Now, let us plug these values into the quadratic formula and simplify.

[tex]\implies \dfrac{-b\ \± \sqrt{b^{2} - 4ac} }{2a}[/tex]

[tex]\implies \dfrac{-8\ \± \sqrt{8^{2} - 4(1)(7)} }{2(1)}[/tex]

[tex]\implies \dfrac{-8\ \± \sqrt{64 - 28} }{2}[/tex]

[tex]\implies \dfrac{-8\ \± \sqrt{36}}{2} = \dfrac{-8\± 6}{2} = \dfrac{-8 + 6}{2},\ \dfrac{-8 - 6}{2} = \dfrac{-2}{2} ,\ \dfrac{-14}{2} = -1 , -7 \ \text{(B)}[/tex]

Therefore, in both methods, the answer is -1, -7 (B).

Learn more about quadratic formula: brainly.com/question/22364785

Learn more about splitting method: brainly.com/question/13874704

Answer:

The correct unit price can be calculated by dividing the total price paid by 84 that was the number of pairs of padded work gloves that were bought:

$102.48/84=$1.22

The correct unit price is $1.22.

-The error is that the person calculated the unit price by dividing the total price paid by 7 but the statement indicates that the contractor purchased 7 dozen pairs, which means: 7*12= 84. According to this, the contractor purchased 84 pairs of padded work gloves.

Answer:

[tex] f(x) = 2x ^{2} + 7x - 4[/tex]

Step-by-step explanation:

[tex] \because \: f(x) = (2x - 1)(x + 4) \\ \therefore \:f(x) = 2x(x + 4) - 1(x + 4) \\ \therefore \:f(x) = 2x ^{2} + 8x - x - 4 \\ \therefore \:f(x) = 2x ^{2} + 7x - 4 \\ [/tex]

After raising the walls of the building of height 2cm 5 times the height of the wall will be 10cms.

Multiplication is a short hand of addition like if we have to add 2 by100  times it is same as multiplying 2 with 100 which is 200.

According to the given question Bryce is making a model building.

Said that he raises the walls of the building by 2 centimeters five times.

So, Either we can sum 2 centimeters 5 times which is (2 + 2 + 2 + 2 + 2) which is

= 10cms.

Or we can multiply the height of the building which is 2 cm by the no. of times he raised it which is 5.

∴(2×5) = 10cms.

learn more about these type of problems here :

https://brainly.com/question/16756360

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Answer: find the answer in the explanation

Step-by-step explanation:

Given the function and its parent function, to describe the

transformation of g(x) = 1/3x^2

First sketch the graph of the parent function which is g(x) = x^2

For every value of x, g(x) will take the value it would have had at kx, that is, the graph of g(x) = x^2 is stretched by a factor of 1/3 in the x - direction.

Find the attached files for the graph and solution

Answer:

230 capsules.

Step-by-step explanation:

The following data were obtained from the question:

Taste >>>>>>>>>>> Frequency

Volluto >>>>>>>>>> 12

Livanto >>>>>>>>>> 7

Ristretto >>>>>>>>> 23

Cosi >>>>>>>>>>>> 3

Other >>>>>>>>>>> 5

Next, we shall determine the total frequency.

This is illustrated below:

Total frequency = 12 + 7 + 23 + 3 + 5

Total frequency = 50

Finally, we shall determine the number of Ristretto in 500 capsules.

This can be obtained as follow:

Number of Ristretto = Frequency of Ristretto /total frequency x total capsule

Frequency of Ristretto = 23

Total frequency = 50

Total capsule = 500

Number of Ristretto = 23/50 x 500

Number of Ristretto = 23 x 10

Number of Ristretto = 230.

Therefore, the number of Ristretto in the 500 capsules is 230.

Answer:

[tex]D = \$2500[/tex]

Step-by-step explanation:

Given

Represent the financial los s in the first year as F1 and the second year as F2

[tex]F_1 = \$3000[/tex]

[tex]F_2 = \$500[/tex]

Required

How much is greater is F1 than  F2

What this question implies is that; the difference between both finan cial losses be calculated;

Represent the difference with D

[tex]D = F_2 - F_1[/tex]

Substitute values for F1 than  F2

[tex]D = \$3000 - \$500[/tex]

[tex]D = \$2500[/tex]

Hence, the calculated difference is $2500

idek

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Answer:

Adding

Adding

Step-by-step explanation:

Answer:

-3x+10y

Step-by-step explanation:

Given the expression [tex]-4\left(2x-y\right)+y+5\left(x+y\right)[/tex], we are to simplify by combining the like terms. On simplification we have;

[tex]= -4\left(2x-y\right)+y+5\left(x+y\right)[/tex]

Open the parenthesis:

[tex]= -4(2x)-4(-y)+y+5(x)+5(y)\\\\= -8x+4y+y+5x+5y[/tex]

Collect the like terms:

[tex]= -8x+5x+4y+y+5y[/tex]

Sum up the resulting expression

[tex]= -8x+5x+4y+y+5y\\= -3x+10y[/tex]

Hence the required expression on simplification is -3x+10y

Answer:

A- 15

Step-by-step explanation:

I think option no a is answer

Answer:

The output is 5

Step-by-step explanation:

y=x+2,

Let x =3

y = 3+2

y = 5

The output is 5

Answer:

5

Step-by-step explanation:

We are given the relation:

y=x+2

The input is also called "x", and the output is also known as "y". We want to find the output, or y, when x is equal to 3.

Therefore, we must substitute 3 in for x and solve.

y= x+2 at x=3

y=3+2

Add 3 and 2.

y=5

If the relation is y=x+2 and the input is 3, then the output is 5.

Answer: c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To help understand how to solve this, try using a number line. You start at negative 5 and move 40 to the right. Whenever you add a positive you move to the right, and when you add a negative you move to the left!

Your question has been heard loud and clear.

Slope formula when two points are given= y2-y1/x2-x1

Here y2= 2

X2=2

Y1= -4

X1= -1

= 2-(-4)/2-(-1)= 2

Slope of line= 2

Thank you.

Answer:

[tex]\huge \boxed{\mathrm{B. \ 2}}[/tex]

Step-by-step explanation:

The line crosses two points.

The two points are (-1, -4) and (2, 2).

The slope of a line can be found through two points.

[tex]\displaystyle \sf slope = \frac{rise}{run}[/tex]

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]y_2=2 \\ y_1 = -4 \\ x_2=2 \\ x_1=-1[/tex]

Plug in the values and evaluate.

[tex]\displaystyle m=\frac{2-(-4)}{2-(-1)}[/tex]

[tex]\displaystyle m=\frac{2+4}{2+1}[/tex]

[tex]\displaystyle m=\frac{6}{3}[/tex]

[tex]m=2[/tex]

The slope of the line is 2.

Answer:

4sqrt(2) + 1

Step-by-step explanation:

Well you know that cos 0 is 1

this means that a+b = 9

cos 60 is 1/2

this means 1/2 a + b = 5

a = 8

b = 1

now plug in for x = 45

cos 45 = sqrt(2)/2

Answer:

He has $138

Step-by-step explanation:

you would divide 500/2 and then subtract one side by 112 to get the answer.

Answer:

-4

Step-by-step explanation:

you can just plug this into a calculator.

OR you could take -3+1 and get -2 and then subtract that from 2 (-3+1=2) and then you get -4

Answer:

-4

Step-by-step explanation:

-3 + (+1)= -2

2(-3 + (+1)) = -4

Answer:

Value of miles traveled (m) = 13 mile

Step-by-step explanation:

Given:

Equation

3.00 + 0.50 m = 9.50

Find:

Value of miles traveled (m)

Computation:

3.00 + 0.50 m = 9.50

0.50 m = 9.50 - 3.00

0.50 m = 6.50

m = 6.50 / 0.50

m = 13

Value of miles traveled (m) = 13 mile

Answer:

The question is not complete, below is the complete question:

A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3.00 + 0.50 m = 9.50, where m represents the number of miles traveled.

Which statement shows the meaning of the driver's equation? Check all that apply.

a.) Three dollars added to $0.50 is the same as $9.50.

b.) Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.

c.) Three dollars more than the quotient of $0.50 and the number of miles is nine dollars and fifty cents.  

d.) The product of the number of miles and the sum of $3 and $0.50 is equal to $9.50.

e.) The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Answers

The correct answers are:

b

e.) The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Step-by-step explanation:

The formula written by the driver is: 3.00 + 0.50 m = 9.50

where m = number of miles travelled

This means that when the product of 0.50 and the number of miles travelled 'm' is added to $3, the result is 9.50

And this is the same explanation as the following options:

a.) Three dollars($3) plus $0.50 times the number of miles is equal to nine dollars and fifty cents($9.50).

e.) e.) The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents;

note that 50 cents is the same as $0.50

Answer:

A. Third quartile – First quartile

Step-by-step explanation:

The interquartile range is found by taking the third quartile minus the first quartile.  It is also found by taking the right side of the box in a box  and whisker plot and subtracting the left side of the box  in a box  and whisker plot

Answer:

l = 15 and w = 25

Step-by-step explanation:

[tex]l - w = - 10[/tex]

[tex]l + w = 40[/tex]

Adding both equations

[tex]2l = 30[/tex]

[tex]l = 15[/tex]

subtracting both equation

[tex]2w = 50[/tex]

[tex]w = 25[/tex]

Hope it helps..........

BRAINLIEST PLEASE

Answer:

Length=30 Width=10

Step-by-step explanation:

Answer:

A D E

Step-by-step explanation:

all the other number have decimals