MATHEMATICS MIDDLE SCHOOL

Write the greatest whole number that uses all the digits from 1 to 9.

Answers

Answer 1

Answer:

we know that

The way to form the greatest number is to use the highest valued digit in the most significant digit.

$900,000,000+80,000,000+7,000,000+600,000+50,000+4,000+300+20+1=987,654,321$

therefore

the answer is

The greatest whole number that uses all the digits from 1 to 9 only at once is

$987,654,321$

Answer 2

Answer: 987,654,321 would be the greatest WHOLE number using the digits 1-9 only once i assume

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Determine the center and radius of the circle described by the equation. (x+1)²+(y-5)²=36

Answers

Answer:

center: (-1,5)

radius: 6

Step-by-step explanation:

ASAP ASAP ASAP asap help me

Answers

Answer:

Step-by-step explanation:

We can use the Pythagorean theorem to find the height

a^2 + b^2 = c^2 with a and b legs and c the hypotenuse

The triangle is a right triangle with legs GH and FG and hypotenuse FH

FG^2 + GH^2 = FH^2

FG ^2 + 12^2 = 20^2

FG^2 +144 = 400

Subtract 144 from each side

FG^2 +144-144 = 400-144

FG^2 =256

Take the square root of each side

sqrt(FG^2) =sqrt(256)

FG = 16

Answer:

Step-by-step explanation:

Use the slanted height of 20ft

Consider the polynomial p(x)=8x3+12x2+2x+3.Part A: What is the correct factorization of p(x)=8x3+12x2+2x+3 over the integers?

Part B: What method is used to factor p(x)=8x3+12x2+2x+3?

Select one answer for Part A and select one answer for Part B.

B: perfect-square trinomial
B: grouping
A: (2x+3)(4x+1)
B: sum of cubes
A: (4x2+1)(2x+3)
A: (2x+3)(4x2+6x+1)

Answers

A: $(4x^2+1)(2x+3)$

B: grouping

Step-by-step explanation:

We are given the polynomial: $p(x)=8x^3+12x^2+2x+3$

Part A: What is the correct factorization of $p(x)=8x^3+12x^2+2x+3$ over the integers?

We need to factorize the term $p(x)=8x^3+12x^2+2x+3$

Factorizing by grouping:

$p(x)=8x^3+12x^2+2x+3$

$p(x)=(8x^3+12x^2)+(2x+3)$

$p(x)=4x^2(2x+3)+1(2x+3)$

$p(x)=(4x^2+1)(2x+3)$

So, factors of the term $p(x)=8x^3+12x^2+2x+3$ are $p(x)=(4x^2+1)(2x+3)$

Part B: What method is used to factor p(x)=8x3+12x2+2x+3?

The method used to factor the given polynomial is grouping.

We group the terms and then find the common terms in that specific group

So, the answers are:

A: $(4x^2+1)(2x+3)$

B: grouping

Keywords: Finding Factors

Learn more about finding factors at:

#learnwithBrainly

Is 3/4 and 3/8 equivalent fractions and why? Thanks

Answers

No, they are not equivalent. The numerators are equals, but the denominators are not, they are not equivalent. If the first one would be 6/8, they would be equivalent, because we can simplify the fractions by 2 and we got 3/4 again. Good luck !

The fractions 3/4 and 3/8 are not equivalent fractions.

To determine if two fractions are equivalent, we need to compare their simplified forms.

Let's simplify both fractions:

3/4 cannot be simplified further because 3 and 4 have no common factors other than 1.

For 3/8, we can simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 1:

(3 ÷ 1) / (8 ÷ 1) = 3/8

As we can see, the simplified form of 3/8 is still 3/8, which is different from 3/4.

Therefore, 3/4 and 3/8 are not equivalent fractions.

To learn more on Fractions click:

brainly.com/question/10354322

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Namel. In a science experiment, Judson is tracking theheight of a small tree. At the beginning the treemeasures 32 inches. Six weeks later the treemeasures 36 inches. Find the percent increase ofthe tree.

Answers

The percent increase in the height of tree after six week will be equal to

12.5%.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the information in the question,

The initial height of the tree = 32 inches

After six weeks the height of the tree = 36 inches

So, the percentage change will be,

% change = (36 - 32)/32 × 100

= 4/32 × 100

% change = 12.5%

To know more about Percentage:

brainly.com/question/29306119

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percent increase = $(new measurement-old measurement)/(old measurement) *100$ $= (36-32)/(32) *100$ $= (4)/(32) *100$ $= (100)/(8)=12.5$ %

Teresa has a bird feeder in the shape of a triangular pyramid. The base of the pyramid has a length of 5 inches and a height of 6 inches. The height of the pyramid 9 inches. How much birdseed can the feeder hold?

Answers

Answer: 135 cubic inch

Step-by-step explanation:

First, multiply all the base of the pyramid length. So, start multiplying 5•6•9=270. Then, you divide 270 by 2 that will give you 135 cubic inch.

Answer:

Step-by-step explanation:

area of base=1/2×5×6=15 in²

height of pyramid=9in

volume of pyramid=1/3×15×9=45 in³

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