Helpp !!! especially with 27 & 31

Keith is thirteen years older then nephew William. In four years Keith will be twice as old as William. How old is William now?

marin [14]

He is 26 years old because 13 + 13 = 26

7 0

3 years ago

Manny has four pieces of carpet in the shape of a square like the one shown. He wants to use them together to carpet a portion o

KengaRu [80]

Answer:

the area of the space he can cover with carpet = 16x⁴ yards²

Step-by-step explanation:

The shape of the square is not shown in this question.

Let assume that the base of the shape of the square is 2x² yards.

and Manny has four of that.

Then side we known the base, we can calculate for the area of the square.

Area of a square = l²

Area of a square = (2x² yards)²

Area of a square = 4x⁴ yards²

However, since Manny has four pieces of that carpet and wants to use them together to carpet a portion of his basement.

Let the pieces of the carpet be carpet A, B, C and D

where; their side is 2x² yards, then their area = 4x⁴ yards²

the area of the space he can cover with carpet = A+B+C+D

the area of the space he can cover with carpet = 4x⁴ yards² + 4x⁴ yards² + 4x⁴ yards² + 4x⁴ yards²

the area of the space he can cover with carpet = 16x⁴ yards²

6 0

3 years ago

List x1, x2, x3, x4 where xi is the left endpoint of the four equal intervals used to estimate the area under the curve of f(x)

n200080 [17]

Answer:

Option A. 4, 4.5, 5, 5.5

Step-by-step explanation:

Left point: a=x=4

Right point: b=x=6

Range: r=b-a→r=6-4→r=2

Width of each of the four equal intervals: w=2/4→w=0.5

The first left endpoint is x1=a→x1=4

The second left endpoint is x2=x1+w→x2=4+0.5→x2=4.5

The third left endpoint is x3=x2+w→x3=4.5+0.5→x3=5

The fourth left endpoint is x4=x3+w→x4=5+0.5→x4=5.5

Then, the list is: x1, x2, x3, x4 = 4, 4.5, 5, 5.5

4 0

3 years ago

3. Which expression is equivalent to log532?

saul85 [17]

Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for any value of N that is any real number.

(2) The logarithm (to base 10) of any number x is defined as the power N such that

x = 10N

(3) Properties of logarithms:

(a) The logarithm of a product P.Q is the sum of the logarithms of the factors

log (PQ) = log P + log Q

(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors

log (P / Q) = log P – log Q

(c) The logarithm of a number P raised to power Q is Q.logP

log[PQ] = Q.logP

Step-by-step explanation:

8 0

3 years ago

The sum of two consecutive integers is 85. What are those two<br> integers?

chubhunter [2.5K]

Answer:

41 and 42

Step-by-step explanation:

Let the integers be x and x + 1

=> x + x + 1 = 85

=> 2x + 1 = 85

=> 2x = 84

=> x = 84/2

=> x = 41

Integers are :

41 and 42

7 0

2 years ago