use the properties of exponents to write an equivalent expression that is a product of distinct primes, each raised to an integer power.

10 to the 5th power times 9 to the 2nd power over 6 to the 4th power

Answers

Answer 1

Answer:

10 to the 5th power times 9 to the 2nd power over 6 to the 4th power


Related Questions

how to i solve 2/15

Answers

Answer:

2/15 = 2/

15

≅ 0.1333333

Step-by-step explanation:

Rules for expressions with fractions:

Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space between the integer and

fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.

Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.

Answer:

for a decimal its 0.13   for a percent its 13.33%  

Step-by-step explanation:

simplify 11 root square 8

11) √8​

Answers

Answer: 2.82842712 or 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Find m/_1 and m/_2. Justify each answer​

Answers

for the first one;
angle 1 is 50° and angle 2 is 130°

for the second one;
angle 1 is 79° and angle 2 is 101°

Consider the expression (x+7), do the following.
(a) Use the distributive property twice to show that
this expression is equivalent to x² +14x+49.
(b) Test the equivalency by finding the value
(x+7) and x² +14x+49 when x= 3.
(x+7)²
x² +14x+49

Answers

Learn by reading the te book of the class or talk to ure professor

At a local department store, sweaters are typically priced at $25. Due to a special, the sweaters are reduced to 80% of their original price. How much are the sweaters now? Round your answer to the nearest whole number if necessary.


PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The sweaters are now $20.

Step-by-step explanation:

$25 × .8 = $20

Solve the following inequality algebraically.
x^2-3x-70< 0

Answers

Answer:

-7<x<10

Step-by-step explanation:

trust :)




a. If T U=14 feet, what is the radius of ®Q ?

Answers

If TU = 14 feet, then the radius of the circle is 7 feet.

What is meant by radius?

The radius of a circle is the distance between the circle's center and any point on its circumference. It is usually represented by the letters 'R' or 'r'.

A radius of a circle or sphere is any of the line segments from its center to its perimeter in classical geometry, and in more modern usage, it is also their length.

Simply dividing the circle's diameter in half yields the radius formula. If we connect the points on the circle's circumference to the exact center.

Let the radius of the circle be TU = 14 feet

Radius of the circle = c/2

Where, c = 14 then substitute the value in the above equation, then

r = 14/2

r = 7 feet

Therefore, the radius of the circle is 7 feet.

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Given ABCD, solve for x.

Answers

Answer:

D. 1

Step-by-step explanation:

16+2x = 10+8x

6 = 6x

x = 1

BC and AD parallel and congruent (=) to each other

Phoebe is reading a novel for her monthly book club. the novel is 368 pages long. so far, she has read 53 pages. phoebe plans to read 35 pages a day. write an equation that represented, the number of days it will take phoebe to finish the novel

Answers

The equation that represent the number of days it will take phoebe to finish the novel is: x= number of pages left to be read / pages to be read per day

Information about the problem:

novel’s pages = 368read pages = 53pages to be read per day = 35 pages/daynumber of days it will take phoebe to finish the novel = x ?

To solve this problem, we have to write the equation in order to calculate (x) the number of days it will take phoebe to finish the novel with the given information:

number of pages left to be read = novel’s pages - read pages

number of pages left to be read = 368 – 53

number of pages left to be read = 315 pages

Knowing the number of pages left to be read we can write the following equation:

x = number of pages left to be read / pages to be read per day

x = 315 pages /35 pages/day

x = 9 days

What is an equation?

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

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Two similar cylinders have heights of 35 meters and 25 meters. What is the ratio of the volume of the large cylinder to the volume of the small cylinder?

Answers

The ratio of the volumes of two similar cylinders with heights of 35 meters and 25 meters, respectively, is 2.744.

Solids of the same type that have proportional corresponding linear

measures are similar solids. In the case of similar cylinders:

height of A/ height of B = radius of A/radius of B

If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.

volume of A/ volume of B = (height of A/ height of B)^3 = (radius of A/radius of B)^3

If two similar cylinders have heights of 35 meters and 25 meters, then the ratio of the volume of the large cylinder to the volume of the small cylinder is:

height of larger cylinder / height of smaller cylinder = 35 meters / 25 meters = 7/5

volume of larger cylinder/ volume of smaller cylinder = (height of larger cylinder / height of smaller cylinder)^3 = (7/5)^3 = 2.744

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What is the product of 48.65(6.2)?

Answers

Answer:

48.65x6.2=301.63

Step-by-step explanation:

Answer:

down below

Step-by-step explanation:

301.63

It's a bit difficult to type this in a mobile so I won't put it. If you would like the explanation, I can always go back and edit my answer

Hope this helps! :)

Elsie bought 3.00 pounds of pecans for $9.60. Her friend buys 4.50 pounds of walnuts for $15.75. Which is more expensive per pound? By how much?

Answers

Divide 9.60 by 3, and 15.75 by 4.50
The bigger number will be the most expensive and subtract the bigger quotient by the smaller and you’ll get the difference.


Compare and contrast the perpendicular bisectors, medians, and altitudes of a triangle.

Answers

The perpendicular bisector of a segment is a line that passes through the midpoint of a segment and is perpendicular to the segment.

What is the difference between perpendicular bisectors, medians, and altitudes of a triangle?

A perpendicular bisector is a line that intersects and passes through the midpoint of a given segment at a 90° angle.

A triangle's median is a line segment that connects a vertex to the opposing side's midpoint. Every triangle has three medians, one from each vertex, and they all cross at the triangle's centroid.

A triangle's altitude is a line segment that passes through a vertex and is perpendicular to the baseline.

Median: A median is a segment that connects a vertex to the midpoint of the opposite side.

Altitude: Altitude is defined as the perpendicular distance from a vertex to the opposite side.

Perpendicular Bisector: The perpendicular bisector of a segment is a line that passes through the midpoint of a segment and is perpendicular to the segment.

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which value of x makes lines r and s parellel

Answers

Answer:

75

Step-by-step explanation:

If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel

x + 25 + 80 = 180

x = 180 - 80 - 25

x = 75

Factor by grouping (sometimes called the ac-method).
10x²-3x-4
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Form:
O
O
10x + 0x + 0*-4
2
10x +
0*- 0*-4
2
10x
10x²
O 10x
x +
- 0*- 0x-4
Factorization:
0
X

Answers

The factorization of the polynomial 10x² - 3x - 4 by grouping is (2x + 1)(5x -  4)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A polynomial is an expression involving addition, subtraction and multiplication of variables. A quadratic equation is a polynomial of degree two.

Given the polynomial:

10x² - 3x - 4

= 10x² - 8x + 5x - 4

= 2x(5x - 4) + 1(5x - 4)

= (2x + 1)(5x -  4)

The factorization of the polynomial 10x² - 3x - 4 by grouping is (2x + 1)(5x -  4)

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Solve each equation. Check your answers. 0.2(x+8)-3.4=2.4

Answers

The solution to given equation 0.2(x + 8) - 3.4 = 2.4 is x = 21

In this question, we have been given an equation 0.2(x+8)-3.4=2.4

We need to solve given equation.

0.2(x + 8) - 3.4 = 2.4

0.2x + 1.6 - 3.4 = 2.4

0.2x - 1.8 = 2.4

0.2x = 2.4 + 1.8

0.2x = 4.2

x = 21

We need to check above solution.

Substitute x = 21 in LHS of given equation.

LHS

= 0.2(21 + 8) - 3.4

= 0.2(29) - 3.4

= 5.8 - 3.4

= 2.4

= RHS

Therefore, the solution to given equation 0.2(x + 8) - 3.4 = 2.4 is x = 21

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Suppose you have an outdoor pool measuring 25 ft by 10ft . You want to add a cement walkway around the pool. If the walkway will be 1 ft thick and you have 304 ft³ of cement, how wide should the walkway be?

Answers

The area covered by the pool and the cement walkway is 304  square feet. The width of the walkway would be 5 feet

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be represent the width of the walkway.

The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway =  25+ x + x = 25 + 2x

The total width of the pool and the walkway = 10 + x + x = 10 + 2x

The area covered by the pool and the cement walkway is 304  square feet. This means that;

(25 + 2x)(10 + 2x) = 304

250 + 50x + 20x + 4x^2 = 304

4x^2 + 70x + 250 - 304 = 0

4x^2 + 70x - 54 = 0

x(x + 20) - 5(x + 20) = 0

(x - 5)(x + 20) = 0

x = 5 or x = - 20

Thus The width cannot be negative.

Therefore, the width of the walkway is 5 feet.

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David has 10 cent pieces in one pocket and 25 cent pieces in the other pocket. if he has the same amount of money in each , what is the least amount he can have in each pocket​

Answers

10*5=50 cents 25*2=50 cents
25 is not divisible by 10

I need this answered please

Answers

As an algebraic expression, the phrase would be represented as so:

12g - 8

We get 12g from multiplication rules because when a coefficient is present, we always have to multiply the number and variable by each other.

The phrase “eight less than” is written as “[insert value] - 8” because we are subtracting 8 from the value.

The representation of the phrase in algebraic form is:

12g - 8 or (12g) - 8


Write the specified type of proof.
flow proof
Given: K || LM, JL || KM
Prove: ΔJ M L≅ ΔM J K

Answers

We can state that ΔJML ≅ ΔMJK under SSS condition.

What specifically do we mean by a triangle's congruency?Two triangles are said to be congruent if their three corresponding sides are equal and their three corresponding angles are equal in size.These triangles can be moved, rotated, flipped, and turned to appear identical.If they are repositioned, they will coincide.Two triangles are congruent if they satisfy all five congruence conditions.They are side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).

So,

Given: KJ || LM, JL || KM

To Prove: ΔJML ≅ ΔMJK

KJ = ML = (Given: equal)JL = KM = (Given: equal)JM = JM = (Common)

So, ΔJML ≅ ΔMJK under SSS condition.

Therefore, ΔJML ≅ ΔMJK.

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How do you bisect an angle using compass and straightedge moves

Answers

Step-by-step explanation:

Open your compass to any radius r, and construct arc (K, r) intersecting the two sides of angle K at A and B.Open your compass to any radius r, and construct arc (K, r) intersecting the two sides of angle K at A and B.Use any radius s to construct arc (A, s) and arc (B, s) that intersect each other at point Z. Note that you must choose a radius s that's long enough for the two arcs to intersect.Open your compass to any radius r, and construct arc (K, r) intersecting the two sides of angle K at A and B.Use any radius s to construct arc (A, s) and arc (B, s) that intersect each other at point Z. Note that you must choose a radius s that's long enough for the two arcs to intersect.Draw line KZ and you're done.

The length of the rectangle is three times its width. If the perimeter of the rectangle is one hundred and sixty meters, find the length and width of the rectangle. Enter two integers

Answers

Answer:

Please give brainliest if it applies!

w = 20m

l = 60m

Step-by-step explanation:

P = 2l + 2w

We know the perimeter = 160 and we know that l = 3w, so write what we know and solve for w.

P = 2l x 2w

160 = 2(3w) + 2w

160 = 6w + 2w

160 = 8w

Divide both sides by 8

20 = w

Now we can figure out the length, which is 3(w) or 3 x 20 = 60

Points D and E are aligned with a ruler. Point D is at the mark of 4.5 cm, and the distance between points D and E is 3.4 cm. At which, two marks on the ruler could point E be located?

Answers

Answer:

E could be located at 7.9cm.

Given p(x)= −2(x−5) 2 + 4, what is the value of p(4)?

Answers

p(4)= 8

because

-2(x-5)2+4

-2(4-5)2+4

-8+10+2+4

2+2+4=8


Find the diameter and radius of a circle with the given circumference. Round to the nearest hundredth.
C = 375.3 cm

Answers

A circle is a curve sketched out by a point moving in a plane. The radius and the diameter of the circle are 59.73 cm and 119.46 cm, respectively.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Given that circumference of the circle as 375.3 cm. Therefore, the radius and the diameter of the circle can be written as,

Circumference of circle = 2 × π × (Radius of the circle)

375.3 cm = 2 × π × (Radius of the circle)

(Radius of the circle) = 375.3cm/ (2 × π)

The radius of the circle = 59.73 cm

Diameter of circle = 2 × (Radius of the circle)

                              = 2 × 59.73 cm

                              = 119.46 cm

Hence, the radius and the diameter of the circle are 59.73 cm and 119.46 cm, respectively.

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In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?
Responses

c−a/b=−d/e

c−a/b*d/e=−1

c−a/b*−d/e=−1

c−a/b=d/e

Answers

The equation that could be used to prove the lines are parallel is: D. (c - a)/b = d/e

What are Parallel Lines?

Parallel lines are lines that do not converge at any point and have the same slope.

Slope (m) = change in y / change in x

Slope of the first line = (c - a)/0 - b

Slope of the first line = (c - a)/b

Slope of the second line = (0 - (-d))/(e - 0)

Slope of the second line = d/e

Thus, if both line are parallel, then (c - a)/b = d/e. This is because parallel lines have the same slope.

The equation is: D. (c - a)/b = d/e

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1 ton makes 90 cars
there are 280 million cars needed
1 ton = 500,000 gallons of water
figure out how much water is needed for 280 million cars.
What I have so far
500,000*280 million= 1.4*[tex]10^{14}[/tex]

Do i divide by 90 and am i even doing this correct?

Answers

The number of gallons required for 280 million cars is 1,555,556 gallons.

Given that, 1 ton makes 90 cars, there are 280 million cars needed

and 1 ton = 500,000 gallons of water.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the number of gallons of water needed for 280 million cars be x.

Now, 90 : 500,000 :: 280 : x

⇒ 90x=500,000 × 280

⇒ x = 14,00,00,000/90

⇒ x = 1,555,555.555≈1,555,556 gallons

Therefore, the number of gallons required for 280 million cars is 1,555,556 gallons.

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Solve the word problems
1) There are 45 red balloons, 85 blue balloons and
120 yellow balloons. How many red and blue
balloons are there altogether?
(Show your work)

Answers

Answer:

add the red and the blue balloons

45+85=130

What is the probability of rolling a number less than 3? express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answers

The probability of rolling a number less than or equal to 3 is 0.5.

What is the probability of rolling a number?The likelihood of getting any side of the dice is 1/6 because there are six possible results. Rolling a 1 has a 1/6 chance of happening, a 2 has a 1/6 chance, and so on.The sum of the three probabilities equals 1/36, or the likelihood that all three will occur.A dice has only 6 sides, and only 1 of those sides is 6, meaning there are 16 chances to roll a 6.63 + 216 = total number of outcomes. When a die is rolled, there is a 1/6 chance of rolling a 4.

What is the probability of rolling a number less than 3?

Event: The collection or the set of outcomes in an experiment is called as an event.

Outcomes: The possible results of a trail in an experiment are called as outcome.

Probability:

The ratio of the number of favorable outcomes to certain event and the total number of possible outcomes is called as the probability of an event.

The probability of rolling a number less than or equal to 3 is obtained by taking the ratio of the number of favorable outcomes by the total number of outcomes. It is expected about 50% of times that rolling a number less than or equal to 3.

The probability of rolling a number less than or equal to 3 is 0.5.

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solve for u and simplify your answer. using reciprocals
-23 = -3/2 u

Answers

U = 3/46 is reciprocal of the solution of equation .

What is reciprocal in math?

The definition of reciprocal in mathematics is the inverse of a value or a number. If n is a real number, then 1/n will be n's reciprocal. Therefore, we must change the number to its upside-down form. For instance, 1 divided by 9 is the reciprocal of 9, or 1/9.Making up or coming from paired crosses where the sort that provides the female parent for the first cross also provides the male parent for the second cross, and vice versa.

-23 = -3/2 u

-1/23 = -2/3u

cross multiply

-3 = -46 u

u = -3/-46

u = 3/46

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