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3 years ago

A number is between 80 and 100 and is divisible by both 5 and . What is the number?

Mathematics

1 answer:

Paraphin [41]3 years ago

4 0

90 would work if you mean 5 and 6

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2x³-8=0<br> How do I solve this problem ?

wlad13 [49]

Answer:

$x=2^{\frac{2}{3}}$

Step-by-step explanation:

1) Add 8 to both sides.

<em /> $2x^3=8$

2) Divide both sides by 2.

$x^3=\frac{8}{2}$

3) Simplify $\frac{8}{2}$ to 4.

$x^3=4$

4) Take the cube root of both sides.

$x=\sqrt[3]{4}$

5) Rewrite 4 as 2².

$x=\sqrt[3]{2^2}$

6) Use this rule: ${({x}^{a})}^{b}={x}^{ab}$ .

$x=2^{\frac{2}{3}}$

Decimal Form: 1.587401

__________________________________________

Check the answer:

$2x^3-8=0$

1) Let $x=2^\frac{2}{3}$ .

$2(2^{\frac{2}{3} })-8=0$

2) Use this rule: $(x^a)^b=x^{ab}$ .

$2\times2^{\frac{2\times3}{3} } -8=0$

3) Simplify 2 * 3 to 6.

$2\times2^{\frac{6}{3} } - 8 =0$

4) Simplify 6/3 to 2.

$2\times2^2-8=0$

5) Use Product Rule: $x^ax^b=x^{a+b}$ .

$2^3-8=0$

6) Simplify 2^3 to 8.

8 - 8 = 0

7) Simplify 8 - 8 to 0.

0 = 0

Thank you,

Eddie

5 0

1 year ago

URGENT ! what is the common difference of the arithmetic series 14+12+10+8

k0ka [10]

Explanation:

An arithmetic sequence has a common difference, meaning you use addition or subtraction to get from term to term, and each term in the sequence is an equal distance apart.

A geometric sequence has a common ratio, meaning that you use multiplication or division to get from term to term.

If you look at this sequence:

14-2 = 12

12-2 = 10

10-2 = 8

8 -2 = 4

etc.

Because you are subtracting 2 each time, 2 is the common difference, and the sequence is arithmetic.

6 0

3 years ago

Mason spent $4.82 for a gallon of milk. How much would Mason spend on 4 gallons of milk?

baherus [9]

The correct answer is A $4.28 x 4 = $19.28

5 0

1 year ago

In Art Class, you designed a rectangle stained glass window. The

Ierofanga [76]

Answer:

Step-by-step explanation:

Draw a triangle and label the sides (picture below):

● the length is 2x+2

● and the width or the height is 6x

The perimeter of a rectangle is the sum of the sides

● P = 2x+2 + 6x + 2x+2 + 6x

Isolate the similar terms

● P = (2x+2x+6x+6x) + (2+2)

● P = 16x + 4

4 0

2 years ago

Can someone pls. help me with this, the instruction says "Find the Unknown length marked on the following figure. Round all the

coldgirl [10]

Answer:

The length of diagonal d is 14.1421 cm

Step-by-step explanation:

We are given square

Length of side of square = 10 cm

We need to find the length of diagonal d

To find diagonal of square, the formula used is:

$Diagonal\: of\: square=s\sqrt{2}$

where s is length of side of square.

Putting values of s and finding length of diagonal of square

$Diagonal\: of\: square=s\sqrt{2}\\Diagonal\: of\: square=10\sqrt{2}\\Diagonal\: of\: square=10(1.41421)\\Diagonal\: of\: square=14.1421\:cm$

So, The length of diagonal d is 14.1421 cm

3 0

3 years ago