(x)(x⁷)(7x³) =
(15x⁶y²) (1/5 x3y3) =
(2c²d³/3c-²d-⁴) =

Answers

Answer 1

The result of the following questions are

[tex](x)(x^{7})(7x^{3})=7x^{11} \\(15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3})=3x^{9}y^{5}\\\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}c^{4}d^{7}[/tex]

Given,

We have to solve the questions using exponent rules

Part 1

[tex](x)(x^{7})(7x^{3})=7x^{1+7+3}\\=7x^{11}[/tex]

Part 2

[tex](15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3} )=\frac{15}{5} (x^{6+3}y^{2+3})\\ =3(x^{9}y^{5})[/tex]

Part 3

[tex]\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}{c^{2--2}d^{3--4}\\=\frac{2}{3}c^{4}d^{7}[/tex]

Hence, the result of the following questions are

[tex](x)(x^{7})(7x^{3})=7x^{11} \\(15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3})=3x^{9}y^{5}\\\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}c^{4}d^{7}[/tex]

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Related Questions

b) Harri hires a pedalo for 45 minutes.
He takes the pedalo out at 2:45 pm.
At what time must he return the pedalo?

Answers

Answer:

He returns the pedalo after 3.00 pm

Solve the inequality for .x.
-1/
6
x+4> −3x −8
Simplify your answer as much as possible

Answers

Answer:

x>-3

Step-by-step explanation:

collect like terms by changing the signs ..

x+4>-3x-8:to: x+3x>-8-4

Hence find the value of x

:4x>-12

4x/4 >-12/4

x>-4

Find the measures of the interior angles of the triangle

please help

Answers

Answer: x = 88 degrees

Step-by-step explanation:

The angles of a triangle add up to 180 degrees.

So

48 + x + (x - 44) = 180

48 + 2x - 44 = 180

2x + 4 = 180

2x = 176

x = 88

Angle B = 88 degrees

Angle C = 44 degrees

In what situation would a geometric model be better than a binomial model

Answers

Answer:

a geometric model shows the lay out of places like earth it tells us where our best water sources are.

What are the angle measures of the triangle?

Answers

Answer: 30, 60, 90 triangle ==> Option 3

Step-by-step explanation:

Lets say Angle A is the angle opposing the line of a triangle that has the length of 6. Lets say Angle B is the angle opposing the line of the same triangle that has the length of [tex]6\sqrt{3}[/tex].

sin A=6/12=1/2

sin A=30 degrees.

sin B=[tex]\frac{6\sqrt{3}}{12}[/tex]=[tex]\frac{\sqrt{3}}{2}[/tex]

sin B=60 degrees.

Hence, triangle is 30, 60, 90 triangle ==> Option 3

2.1−2.7 on a number line

Answers

Step-by-step explanation:

2.1

2.2

2.3

2.4

2.5

2.6

2.7

i don't know if thats what you were asking for but yea

T(x) = -x
P(x) = 10x + 2
What is the value of P(T(3)) - T(P(3))?

Answers

Answer:

p(-x)(3)-T(10x+2)(3)

P(-3x)-T(30x+6)

k+1
2 =8


Find the value of k.

Answers

Answer:

The Answer is K = -4

Step-by-step explanation:

First we Need to write the Equation as It is

K + 12 = 8

Then we keep the Variable which is K in the right of the equal to and move the rest to the left.

K = 8 - 12 ( Note that when moving a number to the other side, the sign will

                  change)

Then Do 8 - 12 or -12 + 8

The answer will come

K = -4

Hope you Are clear

Pls Mark Brainliest

How long will it take you to ski a distance of 36 miles at the speed of 5 miles per 45 minutes

Answers

To ski a distance of 36 miles at the speed of 5 miles per 45 minutes, will take 324 min

The formula and procedure we will use to solve this exercise is:

t = x/v

Where:

x = distancet = timev = velocity

Information about the problem:

v = 5 miles per 45 minutesx = 36 milest = ?

Calculating the velocity we have:

v = x/t

v= 5 miles/45 min

v = 0.111 miles/ min

Applying the time formula from the uniformly rectilinear motion (URM), we have:

t = x/v

t = 36 miles/0.111 miles/ min

t = 324 min

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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Divide £800 in the ratio 6 : 1 : 3

Answers

Answer:

6: 480

1: 80

3: 240

I hope this is what you meant, and I hope I was able to help you!

Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.
If each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags? Explain.
A.


Yes; Machine A and Machine B make 77.5 ounces in 10 minutes. 77.5 > 72, so there will be enough popcorn.
B.


Yes; Machine A and Machine B make 87.5 ounces in 10 minutes. 87.5 > 72, so there will be enough popcorn.
C.


No; Machine A and Machine B make 67.5 ounces in 10 minutes. 67.5 < 72, so there will not be enough popcorn.
D.


No; Machine A and Machine B make 30.75 ounces in 10 minutes. 30.75 < 72, so there will not be enough popcorn.

Answers

Answer:

C

Step-by-step explanation:

machine a makes 4.25 ounces per minute and B makes 4.5 ounces per minute.

PLEASE HELPP
Subject: Trigonometry

Answers

Answer:

51.3

Step-by-step explanation:

[tex]\tan y=10/8 \\ \\ y=\arctan(10/8) \\ \\ \approx 51.3^{\circ}[/tex]

Answer:

45

Step-by-step explanation:

Of 6.5 hectoliters of fuel, the private spilled 350 milliliters. how many liters did the private spill?

Answers

The private spilled 0.35 litres of fuel

How to calculate the amount of litres spilled ?

The first step is to convert 6.5 hectolitres to litres

= 6.5 × 100

= 650 litres

Next is to convert millilitres to litres

= 350/1000

= 0.35 litres

Hence the number of litres spilled is 0.35 litres

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HELP ASAP
Find E, the midpoint of RD if R (4,-5) and D (2,3)

Answers

Answer:

(3, - 1 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = R (4, - 5 ) and (x₂, y₂ ) = D (2, 3 )

midpoint = ( [tex]\frac{4+2}{2}[/tex] , [tex]\frac{-5+3}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex] , [tex]\frac{-2}{2}[/tex] ) = (3, - 1 )

This scale drawing of a rectangular rug
has dimensions 8 inches by 5 inches.
The actual rug is measure with a scale
factor of 4:1.
8 in
5 in
x ft
y ft.
S Enter the value of x and y for the actual rug width.
X =
y =

Answers

x would be 20 inches and y would be 32 inches.

what bigger 3/5 or 0.85

Answers

Answer:

0.85 is bigger

Step-by-step explanation:

To compare fractions you need to bring them to the same format.

1) Convert 3/5 to decimal:

3/5 = 30/50 = 60/100 = 0.60

Compare:

0.60 < 0.85 as 60 < 85

2) Convert 0.85 to fraction:

0.85 = 85/100 = 17/20

Bring 3/5 to the same denominator:

3/5 = (3*4)/(5*4) = 12/20

Compare:

12/20 < 17/20 as 12 < 17 (comparing the numerators)

please help, I suck at math and I cant play no games til I finish everything..sad.

Answers

Answer:

true;the expression s are the same for all values of the variables

A= 89cm root 2 square

Answers

Considering the given area of the square, it is found that it's side length is an irrational number.

What is the missing information?

This problem is incomplete, but researching it on a search engine, it asks if the side length of the square of area 89 cm² is rational or irrational.

What is the formula for the area of a square?


The area of an square of side length s is given by s squared, as follows:

A = s².

In this problem, the area is of 89 cm², hence:

s² = 89.

s = sqrt(89).

The square root of 89 is a non-exact root, hence it cannot be represented by fraction and is an irrational number.

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A student states that a triangle can be formed with side lengths 3 in, 5 in, and 9 in. is the student correct? why, or why not? yes, because 3 5 < 9 yes, because 3 9 > 5 no, because 3 9 > 5 no, because 3 5 < 9

Answers

A student is not correct when he stated that a triangle can be formed with side lengths 3 in, 5 in, and 9 in because 3 + 5 < 9.

A triangle is a polygon with three sides and three vertices.

To know if a set of numbers is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 3, b = 5, and c = 9

a + b > c : 3 + 5 > 9     8 > 9     False

a + c > b : 3 + 9 > 5     12 > 5     True

b + c > a : 5 + 9 > 3     14 > 3     True

If at least one of these statements does not hold true, the measurements can't be the sides of a triangle.

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Given y =
2x+1/4x-3
•Solve for x.
•evaluate x when y = 1

Answers

Answer:

Solve for x:

x= 1/ 2 (2y-1)+ 3y/ 2 (2y-1)

Evaluate: x= 2

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.

Answers

The equation of the line in fully simplified slope-intercept form is y = -x - 8.

How to find the equation of the line?

It is assumed that a line in the graph will pass through some points on the x and y-axes.

We must determine the line's fully simplified intercept.

we know the standard form of a line that is

y = mx + b

here, m is a slope and b is the constant

On the graph, there are the y-intercept (0,-8) and the x-intercept (-8,0).

The slope of the line passing through these points is:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ [/tex]

[tex]slope = \frac{ 8 - 0}{ 0 - 8} [/tex]

slope = 8/(-8)

slope = -1

then find the value of b

if x = 0 y = -8 then

y = mx +b

-8 = -1(0) + b

-8 = b

the value of b is -8

After inserting the values for m and c, the line's equation will be.

y = - x - 8

Hence y = -x - 8 is the equation of the line in fully simplified slope-intercept form.

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in a geometric series, the sum of the first three terms is 14.25 and the sum of the first four terms is 24.375. find the exact value of the first term and the common ratio. give your answer in the format ‘u1,r’, without spaces.

Answers

The first term of the Geometric Series = 3 and its common ratio = 3/2.

What is a geometric Series?

An unlimited number of terms with a fixed ratio between each term make up a geometric series.

For 'n' termed GP with a = first term and r = common ratio, [tex]S_{n}=\frac{a(r^{n}-1)}{r-1}[/tex]

Given:

Sum of first three terms of a G.P. = 14.25Sum of first four terms of the G.P. = 24.375

To find: First term of the GP and the common ratio.

Finding:

As, [tex]S_{n}=\frac{a(r^{n}-1)}{r-1}[/tex], for n =3,

[tex]S_{3}=\frac{a(r^{3}-1)}{r-1}=14.25[/tex] (eqn 1)

=> Similarly for n = 4,

[tex]S_{4}=\frac{a(r^{4}-1)}{r-1} = 24.375[/tex]

On dividing [tex]S_3 by S_4[/tex], we get:

[tex]\frac{14.25}{24.375}=\frac{r^{3}-1}{r^{4}-1}[/tex]

=> On solving the equations, we get:

[tex]14.25r^{4}-24.375r^{3}+10.125=0[/tex]

r = 3/2 (on factorizing the equation)

Now, substituting this in eqn 1

=> [tex]14.25=\frac{a((\frac{3}{2})^{2}-1)}{\frac{3}{2}-1}[/tex]

=> a = 3 on further solving the equation for a.

Hence, the first term of the Geometric Series = 3 and its common ratio = 3/2.

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Two interior decorating teams are competing in a kitchen remodel competition. Their remodels are graded on the following categories, each worth 18 points; time to complete, design, and total cost. Time to complete is worth 75% of their final score, design is 15%, and total cost is 10%. Whoever has the largest final score wins $150,000. Suppose Team A received 15 points for time to complete, 9 points for design, and 14 points for total cost. Suppose Team B received 17 points for time to complete, 7 points for design, and 13 points for total cost. Using technology, determine which team won the competition. Team A won by 1.9 points. Team A won by 1.1 points. Team B won by 1.9 points. Team B won by 1.1 points.

Answers

Answer:

listen there is a lack of information the information you give isn't enough

The correct answer is Team B won by 1.1 points.

To determine which team won the competition, we need to calculate the final scores for both Team A and Team B based on the given weights for each category and the points they received in each category.

For Team A:

- Time to complete (75% of 15 points) = 0.75 * 15 = 11.25 points

- Design (15% of 9 points) = 0.15 * 9 = 1.35 points

- Total cost (10% of 14 points) = 0.10 * 14 = 1.4 points

Total score for Team A = 11.25 + 1.35 + 1.4 = 14 points

For Team B:

- Time to complete (75% of 17 points) = 0.75 * 17 = 12.75 points

- Design (15% of 7 points) = 0.15 * 7 = 1.05 points

- Total cost (10% of 13 points) = 0.10 * 13 = 1.3 points

Total score for Team B = 12.75 + 1.05 + 1.3 = 15.1 points

Now, we compare the total scores of both teams. Team A has a total score of 14 points, while Team B has a total score of 15.1 points. Therefore, Team B won by 1.1 points.

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Create a data set of 9 numbers that has a mean of 10 and a maximum of 15​

Answers

Answer:  {5, 6, 7, 8, 10, 12, 13, 14, 15}

Other answers are possible.

=========================================================

Explanation:

Let's say 10 is the median, and we'll have four values above it and four below. This gives 4+1+4 = 9 total items. One such example could be {6,7,8,9,10,11,12,13,14}. This is the set of whole numbers from 6 to 14 inclusive.

Due to the symmetry of that list, the mean = median = 10

The only problem is the max is 14, when we want it to be 15. We can fix this by adding 1 to each of the upper four values {11,12,13,14} to get {12,13,14,15}.

To balance things out, subtract 1 from each of the lower four values. So we go from {6,7,8,9} to {5,6,7,8}. This balancing is to keep the mean the same at 10.

Therefore, the set  {6,7,8,9,10,11,12,13,14} becomes {5,6,7,8,10,12,13,14,15} which is one possible answer.

There are infinitely many other possible answers. The data set does not have to be symmetric like this.

Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54 Which equation can be used to find the number of pennies Ari has?

Answers

n = the number of nickels
p = the number of pennies

Total number of coins she has = 22.

n + p = 22

First equation

Each penny is one cent and a nickel is worth 5 cents

And the total is $0.54

Second equation. 0.05n + 0.01p = 0.54

n + p = 22
0.05n + 0.01p = 0.54

Multiply the top equation by -0.05 which gives us

-0.05n - 0.05p = -1.1
0.05n + 0.01p = 0.54

The n terms cancel out which leaves the p value

-0.04p = -0.56

Divide by the -0.04p and you get p=14


Substitute the value of p back into the top equation.

Which is n + 14 = 22

Subtract 14 and you get n = 8

Ari has 8 nickels and 14 pennies

Find the value of y+12 when y=7?

Answers

Answer:

19

Step-by-step explanation:

When y = 7

Replace 7 with y.

[tex]7 + 12 = 19[/tex]

If this answer helped you, give this answer a heart, rate it and if you could then please mark it brainliest. Thanks!

PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT

Answers

Answer:

.7456

Step-by-step explanation:

The question is asking for the area under the curve from 1 to 2 ....see diagram.....this is approx .75

Find the area of the figure. Write the answer is radical form

Answers

The Area of the given figure in the radical form is [tex]96\sqrt[4]{x^{9} }[/tex] .

Area of a rectangle can be found by using the formula

Area = length*breadth

in the given question

length of the rectangle

= [tex](4x)^{\frac{3}{2} }[/tex]

On simplifying we get

[tex](4x)^{\frac{3}{2} }=(2^{2} x)^{\frac{3}{2} }\\ \\ =2^{2*\frac{3}{2} } *x^{\frac{3}{2} } }[/tex]      ( as (a.b)ⁿ=aⁿ.bⁿ  )

[tex]=2^{3} *x^{\frac{3}{2} } }\\ \\ =8*x^{\frac{3}{2} } }[/tex]

breadth of the rectangle = [tex]12x^{\frac{3}{4} }[/tex]

The required area = length * breadth

Substituting the values we get

Area = [tex]8*x^{\frac{3}{2} } }[/tex] * [tex]12x^{\frac{3}{4} }[/tex]

=96*[tex]x^{\frac{3}{2}+\frac{3}{4} }[/tex]

taking LCM of exponents as 4 and solving further we get ,

=[tex]96x^{\frac{9}{4} }[/tex]

Expressing in  radical form we get ,

Area = [tex]96\sqrt[4]{x^{9} }[/tex]

Therefore ,  the Area of the figure in the radical form is [tex]96\sqrt[4]{x^{9} }[/tex] .

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For each of the following functions, evaluate: f(-4), f(-2), f(0), f(2), and f(4)
17.)f(x)=3x-7
19.) ƒ(x)=−2x²+5x+1

Answers

Answer for 17. f(-4)= -19 , f(-2) = -13 , f(0)= -7 , f(2) =-1 , f(4) =5
Answer for 19. f(-4)= -51 , f(-2) = -17 , f(0)= 1 , f(2) =3 , f(4) =-11

Replace the x with the given number for example. It's just like solving for x in equations.
f(x)=3x-7
f(-4)=3(-4)-7
= -12 - 7
= -19

A. 2z-1+3z=0
B. 5z-1=0
1) How can we get Equation B from Equation A?
Choose 1 answer
Add/subtract the same quantity to/from both sides.
Add/subtract a quantity to/from only one side.
Rewrite one side for both) by combining like terms.
Rewrite one side for both) using the distributive property.
2) Based on the previous answer, are the equations equivalent? In other words, do they have the
same solution?
Choose 1 answer:
Yes
No

Answers

Answer:

1.) like terms and 2.) since all you did was combine like terms you didn't change the value, it's the same as before just "fixed" so yes

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