Simplify 7√300
With work

Answers

Answer 1

Answer:

70 [tex]\sqrt{3}[/tex]

Step-by-step explanation:

300    

6            50

|    \          |      \

2     3      5      10

                         |    \

                         5     2

2×5=10

10×7=70

70[tex]\sqrt{3}[/tex]

Answer 2

Answer:

70√3

Step-by-step explanation:

7√300 =

7√100*3

7√10*10*3     (√100=√10²=10)

7*10√3

70√3


Related Questions

Solve & Justify 3(5x + 1) = 18x

Answers

Answer:

x=1

Step-by-step explanation:

First you distribute the 3 to 5x and 1 to get 15x+3=18x

Then you subtract 15x from 18x and get 3x

Lastly you divide 3 by 3 to separate the 3 and x and get x=1.

Answer:

x=30

Step-by-step explanation:

          3

Simplify   —

           5

 3          

 (— • x) -  18  = 0  

  5          

STEP

  Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         18     18 • 5

   18 =  ——  =  ——————

         1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (18 • 5)     3x - 90

—————————————  =  ———————

      5              5  

Pull out like factors :

  3x - 90  =   3 • (x - 30)

 3 • (x - 30)

 ————————————  = 0  

      5      

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(x-30)

 ———————— • 5 = 0 • 5

    5    

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (x-30)  = 0

Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

  Solve  :    x-30 = 0  

Add  30  to both sides of the equation :  

                     x = 30

One solution was found :

x = 30

The temperature dropped 4°F one hour later. What is the current
temperature if the temperature was 8°F one hour ago?

Answers

Answer: 4°F

Step-by-step explanation:

8-4=4

Six classes from a school in Indiana collected a total of 2,166 pounds of paper to recycle. if each class collected the same amount, how much did each class collect?​

Answers

I believe it’s 361, tell me if I’m wrong though!

What is the value of x?

Answers

Answer:

x = 24

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

a = a leg

b = another leg

c = hypotenuse

Step 1: Plug in known variables

x² + 10² = 26²

Step 2: Evaluate

x² + 100 = 676

Step 3: Isolate x term

x² = 576

Step 4: Isolate x

√x² = √576

x = 24

Answer:

[tex]x=24[/tex]

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

The Pythagorean Theorem is:

[tex]a^2+b^2=c^2[/tex]

The hypotenuse is c, and the legs are a and b.

Plug in 26 for c since 26 is the hypotenuse, and let 10 for a and x be b. Therefore:

[tex]x^2+10^2=26^2[/tex]

Square:

[tex]x^2+100=676[/tex]

Subtract 100 from both sides:

[tex]x^2=576[/tex]

Take the square root of both sides:

[tex]\sqrt{x^2}=\sqrt{576}\\x=\sqrt{576}=24[/tex]

The answer is 24.

5x+ 4y = -20
5x + 12y = -10
HELPPPPPP

Answers

Answer:

We are to find x and y in this equation.

5x+4y= -20.

- 5x+12y= -10.

which is y=5/4 or 1.25.

then substitute y=1.25 into eqtn I.

5x+4(1.25)=-20.

5x+5= -20.

5x=-20-5.

5x= -25.

x= -5.

Find the equation of an ellipse centered at the origin with foci at the points( 0 , 3 ) and ( 0 , − 3 ). Additionally, the major axis of this ellipse has a length of 10. 15 POINTS, DUE IN 2 HOURS, will give BRAINLIEST!

Answers

Answer:

[tex]\frac{x^2}{25}+\frac{y^2}{16}=1[/tex]

Step-by-step explanation:

We know that the foci lies on the major axis, so it should lie on the x - axis. Additionally the center is the midpoint of the line joining the foci, at (0,0).

Now remember we have our foci at the point (0, ± 3). Our major axis length is 10, so if covers 5 units on either side of the x - axis. Therefore, c = 3, and a = 5. But remember that c is not part of an ellipse equation. Take a look at the formula below,

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

However we can solve for " b " instead, using c. Take a look at another major formula below,

c^2 = a^2 - b^2,

(3)^2 = (5)^2 - b^2,

9 = 25 - b^2,

- b^2 = 16,

b = 4 = - 4

Whether b = - 4 or b = 4, or equation will be the same.

(x - 0)^2 / (5)^2 + (y - 0)^2 / (4 or - 4)^2 = 1,

x^2 / 25 + y^2 / 16 = 1

Our solution is hence option number 1 : [tex]\frac{x^2}{25}+\frac{y^2}{16}=1[/tex]

Exponents does what to the same number continuously?

Answers

Answer:

Exponents multiply a base number by itself continuously

Step-by-step explanation:

Exponents create repeated multiplication, where the base number will be continuously multiplied by itself.

The number of times it will be multiplied depends on the exponent.

For example, 2³ will be the number 2 multiplied by itself 3 times.

Sonya, who is paid time and a half for hours worked in excess of 40 hours, had gross weekly wages of $345 for 44 hours worked. What is her regular hourly rate?

Answers

Answer:

$7.5/hour

Step-by-step explanation:

Sonya is paid time and half for hours worked in excess of 40 hours

She has a gross weekly wages of $345 for 44 hours

Let y represent sonya's hourly rate

Since she is paid one and half then it can be represented as 1.5y

Sonya is suppose to work for a period of 40 hours, this means that she has 4 overtime hours

Therefore Sonya regular hourly rate can be calculated as follows

40y + 4(1.5y) = 345

40y + 6y = 345

46y= 345

y = 345/46

y= 7.5

Hence Sonya's regular hourly rate is $7.5/hour

Check the functions whose inverses are also functions.

a. On a coordinate plane, an absolute value function opens down.
b. On a coordinate plane, an exponential functions increases from quadrant 2 into quadrant 1.
c. On a coordinate plane, a cubic function has an x-intercept of (0, 0).

Answers

Answer:  B and C.

Step-by-step explanation:

A function will have an inverse, only and only if every value of y can be linked to only one value x.

A) Here we have an absolute value:

We know that for example:

I5I = 5 and I-5I = 5.

Then an absolute value function can not have an inverse function.

B) one way of having a function that is invertible or not, is see if the function is increasing or decreasing.

If a function is, for example, increasing, then as the value of x increases, also does the value of y.

Then we will never see that a single value of y is related to two or more different values of x.

Then an exponential function, which is an increasing function, will have an inverse that is also a function.

C) A cubic function that has a root in (0,0)

The cubic function that has only one root at x = 0 is the function:

f(x) = a*x^3 + b*x

where a and b are real numbers of the same sign.

Now, we can see at the first derivate of f(x) to see if it is strictly increasing or strictly decreasing.

f'(x) = 3*a*x^2 + b

Ok, as x^2 is always positive, we can know that the sign of f'(x) will always be the same, so this function is strictly increasing or strictly decreasing (it depends on the signs of a and b).

Then this function has an inverse that is also a function.

Answer:

b and c

Step-by-step explanation:

got a 100 on edge2020. I hope this helped!

Your neighborhood deli kept track of the wraps it sold for three months. The deli sold, 13d+25of the Turkey Waldorf Wraps and 16d+14of the Triple-Decker Chicken Wraps. Write and simplify a polynomial expression that represents the total amount of wraps sold.

Answers

Answer: 29 d + 39

Step-by-step explanation:

Given :  The deli sold, 13d+25 of the Turkey Waldorf Wraps and 16d+14 of the Triple-Decker Chicken Wraps.

Then, the total amount of wraps sold will be

13d+25 + 16d+14

Simplify

13d+16d+25+14   [add like terms]

= 29 d + 39

Hence, the polynomial expression that represents the total amount of wraps sold is  29 d + 39.

Which inequality matches the number line ? Help!!

Answers

The second answer choice matches the number line

Which two ordered pairs represent a proportional relationship?
OA. (2, 2) and (4, 4)
ОВ.
(4, 3) and (4,4)
OC. (3, 2) and (4, 4)
OD. (2, 2) and (4, 6)
I need the answer ASAP

Answers

Answer:

Hey there!

(2, 2) and (4, 4) represent a proportional relationship.

Let me know if this helps :)

How dose the product of 40x30 compare to the product of 20x324

Answers

The product of 40x 324 would be double that if 20x 324

Solve the equation for x. 3/4(x + 21) = 10 1/2

Answers

Answer:

x=7

Step-by-step explanation:

3/4(x+21)=10 1/2

3/4x+63/4 = 21/2

3/4x= 21/2-63/4

3/4x= -21/4

x= (-21/4)/(3/4)

x= (-21/4)x(4/3)

x= -84/12

x=-7

The equation for x is -7 .

To find the equation for x.

What is algebra?

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given that:

The equation are

3/4(x+21)=10 1/2

3/4x+63/4 = 21/2

3/4x= 21/2-63/4

3/4x= -21/4

By cross multiplication

x= (-21/4)/(3/4)

Reverse the numerator and denominator

x= (-21/4)x(4/3)

x= -84/12

x=-7

So, the equation for x is -7 .

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please help me on these!!
40 points

Answers

8) The 4x should have been subtracted from the 8x instead of beating added

9) combine the like terms which are -18x and 5x

Answer:

8: when they added -4x and 8x they didn't carry the negative

9: You add -18x and 5x              -13x - 12 = 1

Jayla gets the right
shade of pink paint by
mixing 1/4 cup of white
paint with 1/3 cup of red
paint. How many cups
of white and red paint
does Jayla need to
make 18 cups of this
shade of pink paint?

Answers

Answer: actually I'm a 13 year old child but still I will answer right. so lets start okay. first step for me is to add 1/4+1/3 = lcm of 1/4+1/3is 12 so then total will be 7/12 then we will. 7/12of18 maybe and answer is 21/2

During a science experiment, Daniel noted the starting temperature of a At the end of the experiment, the change in temperature was What was the final temperature?

Answers

Complete question :

During a science experiment, Daniel noted the starting temperature of a -4°F. At the end of the experiment, the change in temperature was -5°F. What was the final temperature?

A.-1 B.1 C.9 D.-9

Answer:

D.) - 9

Step-by-step explanation:

Given the following :

Temperature at the start of experiment = - 4°F

At the end of experiment, change in temperature = - 5°F

This means between the temperature at the start of the experiment was - 4°F and during the cause of the experiment, there was a change in temperature of - 5°F.

Hence, the final temperature is the sum of the initial temperature and and the temperature change recorded.

Initial temperature + temperature change

-4°F + (-5°F)

- 4°F - 5°F = - 9°F

Hence, final temperature = - 9°F

Answer:

The answer is 9

Given the following :

Temperature at the start of experiment = - 4°F

At the end of experiment, change in temperature = - 5°F

This means between the temperature at the start of the experiment was - 4°F and during the cause of the experiment, there was a change in temperature of - 5°F.

Hence, the final temperature is the sum of the initial temperature and and the temperature change recorded.

Initial temperature + temperature change

-4°F + (-5°F)

- 4°F - 5°F = - 9°F

Hence, final temperature = - 9°F

A rectangular barn door needs to be painted. The door is 74 inches high and
50 inches wide. What is the area of the front of the door?

Answers

Answer:

2700 square inches

Step-by-step explanation:

Area of a rectangle is A = lw, where l= lenght, w = width

Given a rectangular barn door with dimensions:

Height = 74 inWidth = 50 in

The area of front side of the door is:

A = 74 in * 50 in = 2700 square inches

the product of 5 and g

Answers

Answer:

5g

Step-by-step explanation:

Ecuacion, porfa ayuda.
x - 8 = x/2 - x-6/3

Answers

Answer:

x=4

Step-by-step explanation:

x-8= x/2 -x-6/3

x-8=x/2-x-2

x-8=-x/2-2

1.5x-8=-2

1.5x=6

x=4

If a is directly proportional to b/2 and a=1 when b=10, then what is the value of a when b=35

Answers

Answer:

3.5

Step-by-step explanation:

b divided by 10 is A

35 divided by 10 is 3.5

Ms. Gantt has a $15 gift card to Starbucks. She buys 2 muffins for $2.65 each, 2 hot chocolates for $1.79 each, and a juice for $3.05. How much remains on her gift card?

PLEASE HELP ME I WILL MARK YOU BRAINLIEST

Answers

Answer:

Remains on her gift card:

$3.07

Step-by-step explanation:

15 - ((2*2.65) + (2*1.79) + (1*3.05))

= 15 - (5.3 + 3.58 + 3.05)

= 15 - 11.93

= 3.07

Answer:

$3.07

Step-by-step explanation:

Ms. Gantt has a $15 gift card to Starbucks.

She buys 2 muffins for $2.65 each, = 2 × 2.65 = $5.3

2 hot chocolates for $1.79 each, = 2 × 1.79 = $3.58

and a juice for $3.05. = 1 × 3.05 = $3.05

Now,

$15 - $5.3 - $3.58 - $3.05 = $3.07

Thus, $3.07 remains on her gift card

Solve for s.
(6s - 5)(s - 3) = 0
Write your answers as integers or as proper or improper fractions in simplest form.
S = or s =

Answers

Answer:

s = 5/6, s = 3

Step-by-step explanation:

(6s - 5)(s - 3) = 0

Solving for s:

1. ...........

6s - 5 =06s = 5s = 5/6

2. ...........

s - 3 = 0s =3

Need help stuck with this

Answers

Answer:

2 is scalene

3 is obtuse

4 is isosceles

Step-by-step explanation:

2 is scalene 3 is obtuse 4 is iscoleses

The steps below show the solution to the equation LaTeX: 3\left(x-2\right)=2\left(x-3\right)3 ( x − 2 ) = 2 ( x − 3 ). Order the reasons for the steps.

LaTeX: 3\left(x-2\right)=2\left(x-3\right)3 ( x − 2 ) = 2 ( x − 3 )

LaTeX: 3\left(x\right)+3\left(-2\right)=2\left(x\right)+2\left(-3\right)3 ( x ) + 3 ( − 2 ) = 2 ( x ) + 2 ( − 3 )
[ Select ]

LaTeX: 3x-6=2x-63 x − 6 = 2 x − 6
[ Select ]

LaTeX: 3x-2x=-6+63 x − 2 x = − 6 + 6
[ Select ]

LaTeX: x=0x = 0

Answers

Answer:

See Bold Texts

Step-by-step explanation:

Given

The steps to solve:

[tex]3( x - 2 ) = 2( x - 3 ).[/tex]

Required

Order the steps with reasons

[tex]3( x - 2 ) = 2( x - 3 ).[/tex]

Open Brackets

[tex]3(x) + 3(-2)= 2(x)+ 2(-3)[/tex]

Open Brackets

[tex]3x - 6 = 2x -6[/tex]

Collect Like Terms

[tex]3x - 2x = -6 + 6[/tex]

[tex]x =0[/tex]

Answer:

i believe X=4? sorry math is not my strong suit and probably didn't get the answer right!

How do I write 3x3x3x3 in exponential form

Answers

Answer:

3 with the exponent of four.

Step-by-step explanation:

You would count the number of of three's. Since there are four three's, then you would write the 4 right by the three on the top right hand corner.

The exponential expression is [tex]3^4[/tex].

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

3 x 3 x 3 x 3

The form to write an exponential expression.

= [tex]Base^{Exponents}[/tex]

Now,

There are four 3's and we can write it as an exponent form where the base is 3 and the exponent is 4.

So,

= [tex]3^4[/tex]

Thus,

The exponential expression is [tex]3^4[/tex].

Learn more about expressions here:

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In a communist command economy workers are employed by
the agencies
the consumers
the producers
the state

Answers

Answer

D) the state

I took on Test:))))))

In a communist command economy, workers are employed by the state. Hence, option D is correct.

What is communist command economy?

A command system, usually referred to as communism, is an economic system in which the government controls the majority of the factors of production, decides how resources will be distributed, and determines what goods and services will be offered. Karl Marx and Frederick Engels were the principal architects of communist theory.

A communist political system includes a command economy, whereas capitalist countries have a free market. A command economy might take the form of socialism or communism. In all three, the government is in charge of the nation's enterprises, resources, and economic activities.

Thus, option D is correct.

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Find the value(s) of k such that 4x² + kx + 4 = 0 has 1 rational solution

Answers

Answer:

If you mean only one rational solution, the answer is

[tex]k_1 = 8, k_2 = -8[/tex]

If you mean at least 1 rational solution, the answer is

[tex]k\in (-\infty, -8]\cup[8, \infty)[/tex]

Step-by-step explanation:

[tex]4x^2 + kx + 4 = 0[/tex]

Let's calculate the discriminant.

[tex]\Delta = b^2 - 4ac[/tex]

[tex]\Delta = k^2 -4 \cdot 4 \cdot 4[/tex]

[tex]\Delta = k^2 -64[/tex]

Now, remember that:

[tex]\text{If } \Delta > 0 : \text{2 Real solutions}[/tex]

[tex]\text{If } \Delta = 0 : \text{1 Real solution}[/tex]

[tex]\text{If } \Delta < 0 : \text{No Real solution}[/tex]

Therefore, I will just consider the first two cases.

[tex]k^2 - 64 > 0[/tex]

and

[tex]k^2 -64 = 0[/tex]

[tex]\boxed{\text{For } k^2 - 64 > 0}[/tex]

[tex]k^2 > 64 \Longleftrightarrow k>\pm\sqrt{64} \Longleftrightarrow k\in (-\infty, -8)\cup(8, \infty)[/tex]

[tex]\boxed{\text{For } k^2 - 64 = 0}[/tex]

[tex]k^2 = 64 \Longleftrightarrow k=\pm\sqrt{64} \implies k_1 = 8, k_2 = -8[/tex]

Write the prime factors of 15. Separate each number with a comma.​

Answers

Answer:

21

Step-by-step explanation:

21_++_+_+

Answer:

21

Step-by-step explanation:

In a mathematics class, half of the students scored 42 on an achievement test. With the
exception of a few students who scored 78, the remaining students scored 53. Which of the
following statements is true about the distribution of scores?

Answers

Answer:

If half the students scored 42 and some scored 53, the median must be (53 + 42)/2 = 47.5.

If the other half all scored 53, the mean would be the same, but the few 78s is going to raise the mean.

The mode is 42.

i hope it helps you

The mean is greater than the median. Then the correct option is B.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

In a mathematics class, half of the students scored 42 on an achievement test.

With the exception of a few students who scored 78, the remaining students scored 53.

We know that if the half of data is the same and the remaining data is greater than that data.

Then the mean is greater than the median.

Then the correct option is B.

The complete options of the question is attached below.

More about the statistics link is given below.

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