MATHEMATICS
MIDDLE SCHOOL

Answer: 1.063 × 10²

Since the number has to be between 1 and 10 you have to move the decimal place 2 times to the left which would give you 1.063

10 is to the second power because you moved the decimal place 2 time to the left (;

Since the number has to be between 1 and 10 you have to move the decimal place 2 times to the left which would give you 1.063

10 is to the second power because you moved the decimal place 2 time to the left (;

HIGH SCHOOL

A cow is tethered by a 100-ft rope to the inside corner of an L-shaped building, as show in the figure. Find the area that the cow can graze. a. 20

b. 50

c. 100

d. 60

e. 50

I'll be using the formula for area of a circle. because based on the given image the cow can graze 1/4 area of the circle.

100 ft rope will be its radius.

Area of a circle = π r²

A = 3.14 * (100ft)²

A = 3.14 * 10,000 ft²

A = 31,400 ft²

31,400 ft² x 1/4 = 7,850 ft²

7,850 ft² or 2,500 π ft²

100 ft rope will be its radius.

Area of a circle = π r²

A = 3.14 * (100ft)²

A = 3.14 * 10,000 ft²

A = 31,400 ft²

31,400 ft² x 1/4 = 7,850 ft²

7,850 ft² or 2,500 π ft²

MIDDLE SCHOOL

What is 41% of 257.

Answer:

105.37

Step-by-step explanation:

0.41x257=105.37

Answer:

105.37

Step-by-step explanation:

41%=0.41

0.41*257=105.37

MIDDLE SCHOOL

Solve for x

-7/8x=-5?

A. X=-4 3/8

B. X=4 3/8

C. X= 5 5/7

the answer is c. x = 5 5/7

MIDDLE SCHOOL

Solve x^2+ 3x = 28 Solve question

Answer: x=4 or x=−7

Step-by-step explanation:

Because.....

Step 1: Subtract 28 from both sides.

x^2+3x−28= 28 − 28

x^2+3x−28 = 0

Step 2: Factor left side of equation.

(x−4)(x+7)=0

Step 3: Set factors equal to 0.

x−4=0 or x+7=0

x=4 or x=−7

* You could use any of the answers.

* Hopefully this helps:) Mark me the brainliest:)!!!

MIDDLE SCHOOL

a data set showing the number of siblings of several students has a mean of 4 and a median that is not 4. Construct a data set that models the situation.

0,2,2,4,5,5,6,6,6

in this case the sum is 36

36/9=4 where the mean is 4

and the median is the middle number which is 5

in this case the sum is 36

36/9=4 where the mean is 4

and the median is the middle number which is 5

MIDDLE SCHOOL

What are the powers of 4 through 1000

Answer:

{4^0, 4^1, 4^2, 4^3, 4^4}, or, with a bit of rounding off,

{4^0, 4^1, 4^2, 4^3, 4^4, 4^5} = {1, 4, 16, 64, 256, 1024}

Step-by-step explanation:

I wanted to determine the largest power of 4 that does not exceed 1000. Here's what I did:

4^x = 1000. Taking the ln of both sides, we get x ln 4 = ln 1000.

6.9078

Solving for x: x = --------------- = 4.98

1.3863

Thus, the answer to this question is {4^0, 4^1, 4^2, 4^3, 4^4}. If you're willing to talk in terms of approximations, then there'd be one more power of 4 in this set: 4^5. Note that 4^5 = 1024, whidh is just a bit over 1000.

HIGH SCHOOL

A fair die with sides numbered 1, 2, 3, 4, 5, and 6 is to be rolled until a number greater than 4 first appears. what is the probability that a number greater than 4 will first appear on the third or fourth roll

First two rolls have to be 1-4 that is 2/3 chance twice and the third can be 4or 5

2/3*2/3*1/3 + the chance that the fourth is the 5 or 6.

2/3*2/3*2/3*1/3

So the solution is : P=2/3*2/3*1/3 + 2/3*2/3*2/3*1/3

2/3*2/3*1/3 + the chance that the fourth is the 5 or 6.

2/3*2/3*2/3*1/3

So the solution is : P=2/3*2/3*1/3 + 2/3*2/3*2/3*1/3

MIDDLE SCHOOL

7 pounds of grapes cost 10.43.how much does 3 pound cost

So what you would do is divide $10.43 by 7 and multiply that answer by 3.

$10.43 divide 7 = $1.49 and then $1.49 x 3 = $4.47. Therefore the answer would be $4.47.

Hope that helps!

$10.43 divide 7 = $1.49 and then $1.49 x 3 = $4.47. Therefore the answer would be $4.47.

Hope that helps!

HIGH SCHOOL

Shorty Jones wants to buy a one-way bus ticket to Mule-Snort, Pennsylvania. The ticket costs $142, but Mr. Jones has only $80. If Shorty puts the money in an account that pays 9% interest compounded monthly, how many months must Shorty wait until he has $142 (round to the nearest month)?

Answer:

Shorty has $142 after 7 month.

Step-by-step explanation:

The concept of compounded interest involves an initial capital that is reinvested month by month, it means that the initial capital plus the interest earned during the first month is reinvested on the second month and so on. The equation that describes the relationship between the final capital with the initial capital, the percentage of compounded interest and the time is:

Cf = Ci(1 + r)^n

where Cf: final capital (the money tha Shorty needs, $142)

Ci: initial capital (the money that Shorty has, $80)

r is the interest (9% = 0,09)

n: time (in months)

⇒142 = 80 (1 + 0,09)^n ⇒ 142/80 = (1,09)^n ⇒ 1.775 = (1,09)^n At this point you have to apply logarithms.

⇒ log (1.775) = n log (1.09) ⇒ n = log (1.775)/log (1.09) ⇒ n= 6.658

Shorty has $142 after 7 month.