Whats the cube root of 110567 by prime factorization

Explain why rational number is either a terminating or repeating decimal?

dedylja [7]

A rational number is a real number such as 5 or .25. An irrational number is a non realistic number such as pi

6 0

2 years ago

A scientist wishes to estimate the mean breaking strength of a certain type of steel rod within 3.0 psi with 95% confidence. Bas

yaroslaw [1]

Answer:97 rods

Step-by-step explanation:

The number of steel rods for 95% confidence level

$n=\left ( \frac{Z_\frac{\alpha }{2}\times \hat{\sigma }}{E} \right )^2$

$Z_\frac{\alpha }{2}=1.96$

E=3

$\hat{\sigma }=15$

Substituting values

$n=\left ( \frac{1.96\times 15}{3}\right )^2$

$n=96.04\approx 97$

Thus 97 rods is tested

6 0

3 years ago

Jake says the 3 in 738 has a value of 3. He shows

NeX [460]

No because the 3 is the tens place. So its supposed to 3 ten blocks

3 0

2 years ago

Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).

BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

Solution:

Two payment options to rent a car

Let "x" be the number of miles driven in one day

You can pay $20 a day plus 25¢ a mile (Option A)

25 cents is equal to 0.25 dollars

OPTION A : 20 + 0.25x

You pay $10 a day plus 50¢ a mile (Option B)

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

For what amount of daily miles will option A be the cheaper plan ?

For option A to be cheaper, Option A must be less than option B

Option A < Option B

$20 + 0.25x < 10 + 0.50x$

Solve the inequality

Add -0.50x on both sides

$20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10$

Add - 20 on both sides,

$20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

$0.25x > 10$

Divide both sides by 0.25

$x > 40$

Thus you must drive more than 40 miles to make option A the cheaper plan

7 0

2 years ago

Hunter started with the following model to show the problem 1.45 : 5. w 3 To complete the division model of 1.45 = 5, how many h

Cloud [144]

Each division set gives the outcome of the operation 1.45 ÷ 5 which is 0.29.

The number of hundredths in each division set is D. 9

Reasons:

The given Hunter's model consists of the following

One 10 × 10 number block

Four sets of a column of 10 cubes

Five individual cube pieces

Therefore;

In 1.45, we have;

1 unit

4 tenths

5 hundredths

Which gives;

Each single cube can be used to represent a hundredth in 0.05

One cube = 0.01

Each set of 10 cubes represents a tenth in 0.4

Each block of 10 by 10 can be used to represent the unit; 1

Dividing each of the 10 × 10 can be divided to sets of 20 blocks with a value of 0.2 each

The 4 sets of 10s can be divided by 5 to give sets of 8 with a value of 0.08

The 5 cubes divided 5 gives five cubes with each cube having a value of 0.01.

Therefore;

The value of each division set is 0.2 + 0.08 + 0.01 = 0.29

The number of hundredths in 0.29 = 9

The number of hundredths in each division set is therefore; D. 9

Learn more about number place value here:

brainly.com/question/184672

5 0

2 years ago