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3 years ago

For problems 1-6, write equivalent expressions by combining like terms. 8b-4b

Mathematics

1 answer:

Alexandra [31]3 years ago

3 0

Answer:

4b this is the correct answer yes

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A sector with a central angle measure of \purpleD{175\degree}175°start color #7854ab, 175, degree, end color #7854ab has a radiu

Alisiya [41]

Answer: $219.94\ cm^2$

Step-by-step explanation:

Given

The central angle of a sector measures $175^{\circ}$

The radius of the circle is $r=12\ cm$

The area of the sector is given by

$\Rightarrow A=\dfrac{\theta }{360^{\circ}}\pi r^2$

Insert the values

$\Rightarrow A=\dfrac{175^{\circ}}{360^{\circ}}\cdot \pi \times 12^2\\\\\Rightarrow A=219.94\ cm^2$

8 0

3 years ago

How much 7% saline solution should Kent mix with 60 cubic centimeters (cc) of a 19% saline solution to produce an 11% saline sol

Valentin [98]

Answer:

x=120cc volume of 7% solution

Step-by-step explanation:

Saline solution(7% solution) +

Saline solution (19% solution) = Saline solution (11% solution)

Saline solution(7% solution): (0.07)(x)

x= unknown volume

Saline solution (19% solution): (0.19)(60)

60= given volume

Saline solution (11% solution)= (0.07)(x+60)

x+60= Total volume

solve for x

(0.07)(x) + (0.19)(60) = (0.11)(x+60)

0.07x +11.4 = 0.11x + 6.6

0.11x - 0.07x = 11.4 - 6.6

0.04x = 4.8

x = 4.8/0.04

x = 120 cc volume of 7% solution

5 0

3 years ago

Which step is included in the graph of the function f(x)=[x-1]? (the brackets are ceiling functions symbols)

KiRa [710]

we are given

f(x)=[x=1]

where bracket means ceiling functions

we know that

Ceiling function returns the least value of the integer that is greater than or equal to the specified number

so, we can check each options

option-A:

$-4\leq x$

At x=-4:

f(x)=[-4-1] =-5

For x<-3:

Let's assume

x=-3.1

f(x)=[-3.1-1] =[-4.1]=-5

so, this interval is TRUE

option-B:

$-2\leq x$

At x=-2:

f(x)=[-2-1] =-3

For x<-1:

Let's assume

x=-1.1

f(x)=[-1.1-1] =[-2.1]=-3

so, this is FALSE

7 0

4 years ago

Read 2 more answers

Mr. Sanchez has a bag of marbles. The bag contains 4 red marbles, 3 green marbles, and 3 blue marbles. Mr. Sanchez will be rando

Deffense [45]

Answer:

4/10

Step-by-step explanation:

the total is 10 and there are 4 red marbles.

3 0

3 years ago

Read 2 more answers

Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations.

ki77a [65]

Answer:

The variance is $\sigma ^2 =25$

Step-by-step explanation:

From the question we are told that

The sample size is n = 21

The sum of squares is $SS = 500$

Generally the variance is mathematically represented as

$\sigma ^2 = \frac{SS}{n- 1}$

substituting values

$\sigma ^2 = \frac{ 500}{21- 1}$

$\sigma ^2 =25$

4 0

3 years ago