The Robinson family goes to the library. There are 5 people in thefamily. Each person borrows 2 books. How many books does the
family borrow in all?
What is the unknown in this problem?
number of people in the family
number of books for each person
number of books in all

Answers

Answer 1
Answer:

Answer:

10 books

Step-by-step explanation:

5 × 2 = 10

unknown in this problem is number of books in all


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What is x^2+8x-5 in vertex form? Please explain.

Simplify and solve this equation for q: 3q + 5 + 2q – 5 = 65. A. q = 23
B. q = 13
C. q = 15
D. q = 11

Answers

 3(13) + 5 + 2(13) – 5 = 65Answer is B
3q + 5 + 2q - 5 = 655q + 0 = 655q divided by 65 is 13 .Answer is B .

The area of a circular sun spot is growing at a rate of 600 km2/sec. (a) How fast is the radius growing at the instant when it equals 4,000 km?

Answers

14 sec becauseIn 2sec=600In4 sec=1200In6 sec =1800In 8sec =2400In10 sec=3000In12sec=3600In 14sec=4000In 14seconds it covers 4000

Solve for k:
2k(7-5k)+11=6k+3(k^2-1)
with work please.

Answers

2k(7-5k)+11=6k+3(k^2-1) 
⇒ (2k)* 7 - (2k)* (5k) +11= 6k+ 3* k^2- 3*1 (distributive property)
⇒ 14k -10k^2 +11= 6k+ 3k^2 -3
⇒ (14k -14k) +(-10k^2 +10k^2)+ (11-11) = (6k-14k)+ (3k^2+10k^2)+ (-3-11)
⇒ 13k^2- 8k- 14= 0
⇒ 13 (k^2- 8/13k- 14/13)=0
⇒ (k- ((4+3*sqrt(22))/13))* ((k- ((4-3*sqrt(22))/13))= 0
k= (4+3*sqrt(22))/13 or k= (4-3*sqrt(22))/13).

Hope this helps~

Answer:

k= (4+3*sqrt(22))/13 or k= (4-3*sqrt(22))/13).

Step-by-step explanation:

2k(7-5k)+11=6k+3(k^2-1)

We move all terms to the left:

2k(7-5k)+11-(6k+3(k^2-1))=0

We add all the numbers together, and all the variables

2k(-5k+7)-(6k+3(k^2-1))+11=0

We multiply parentheses

-10k^2+14k-(6k+3(k^2-1))+11=0

We calculate terms in parentheses: -(6k+3(k^2-1)), so:

6k+3(k^2-1)

We multiply parentheses

3k^2+6k-3

Back to the equation:

-(3k^2+6k-3)

We get rid of parentheses

-10k^2-3k^2+14k-6k+3+11=0

We add all the numbers together, and all the variables

-13k^2+8k+14=0

a = -13; b = 8; c = +14;

Δ = b2-4ac

Δ = 82-4·(-13)·14

Δ = 792

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

k1=−b−Δ√2ak2=−b+Δ√2a

The end solution:

Δ−−√=792−−−√=36∗22−−−−−−√=36−−√∗22−−√=622−−√

k1=−b−Δ√2a=−(8)−622√2∗−13=−8−622√−26

k2=−b+Δ√2a=−(8)+622√2∗−13=−8+622√−26

   

   

Simplify. Write in radical form.
(x^3y^-2/xy)^-1/5

Answers

Answer:

The radical form of the expression ((x^3y^(-2))/(xy))^{(-1)/(5)} is \sqrt[5]{(y^3)/(x^2)}

Step-by-step explanation:

 Given : ((x^3y^(-2))/(xy))^{(-1)/(5)}

We have to simplify the given expression and write in radical form.

RADICAL FORM is the simplest form of expression that do not involve any negative exponent and power is less than n, where n is the nth root of that expression.

Consider the given expression  ((x^3y^(-2))/(xy))^{(-1)/(5)}

Cancel out the common factor x, we get,

((x^2y^(-2))/(y))^{(-1)/(5)}

Using laws of exponents, a^(-m)=(1)/(a^m) , we have,

((x^2)/(y\cdot y^2))^{(-1)/(5)}

Using laws of exponents, x^m \cdot x^n=x^(m+n) , we have,

((x^2)/(y^3))^{(-1)/(5)}

Again using laws of exponents, a^(-m)=(1)/(a^m) , we have,

((y^3)/(x^2))^{(1)/(5)}

Also, written as  \sqrt[5]{(y^3)/(x^2)}

Thus, the radical form of the expression ((x^3y^(-2))/(xy))^{(-1)/(5)} is \sqrt[5]{(y^3)/(x^2)}

Hope this helped! Much luck!

Help! Simplify (see photo) pls explain
If you don’t know pls don’t answer thanks

Answers

Answer:

-8 √(6)

Step-by-step explanation:

4i√(-24) \n4i√(-1) *√(24) \n4i*i*√(4)*√(6)\n-4 * 2*√(6) \n-8 √(6)

.

√(-1) =i \ni*i = -1

The two bases of a trapezoid are 3 and 11 and the altitude is 8. What is the area of the trapezoid? A. 56
B. 112
C. 64
D. 96

Answers

The area of the given trapezoid is 56 sq.units.

What is a trapezoid?

A quadrilateral with at least one pair of parallel sides is called a trapezoid.

Given that, the two bases of a trapezoid are 3 and 11 and the altitude is 8

Area of a trapezoid = (sum of the two bases) / 2 × height

= (3+11) / 2 × 8

= 14 / 2 × 8

= 7 × 8

= 56

Hence, the area of the given trapezoid is 56 sq.units.

For more references on trapezoid, click;

brainly.com/question/8643562

#SPJ2

a+b/2×h

3+11/2×8

14/2×8

7×8= 56 which is :A