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Alina [70]
2 years ago
15

If the original quantity is 10 and the new quantity is ​14, what is the percent​ increase?

Mathematics
1 answer:
Korvikt [17]2 years ago
6 0

Answer:

40% increase

Step-by-step explanation:

10 is you 100%

if it increased to 14, then that means your 100% = 10 increased +4 which is the 40%

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Find the factorization of the polynomial
makvit [3.9K]
There is only one real root, at x=-2, so the polynomial describing this parabola has factors of (x+2) with multiplicity 2. The y-intercept tells you the vertical stretch is 1.

The factorization is y = (x +2)².
6 0
3 years ago
Learning goal: to understand the rules for computing dot products. let vectors a=(2,1,−4), b=(−3,0,1), and c=(−1,−1,2). part a -
miv72 [106K]
For this case we have the following vectors:
 a = (2,1, -4)

b = (- 3,0,1)

c = (- 1, -1,2)
 The dot product of two vectors is a scalar.
 The point product consists of multiplying component by component and then adding the result of the multiplication of each component.
 For the product point of the vectors a and b we have:
 a.b = (2,1, -4). (- 3,0,1)

a.b = (2) (- 3) + (1) (0) + (-4) (1)

a.b = - 6 + 0 - 4

a.b = - 10
 Answer:
 
The product point of the vectors a and b is: 
 
a.b = - 10
3 0
3 years ago
What is the surface area of the prism in square inches?
Kay [80]

<u>Given</u>:

Given that the triangular prism with height 10 inches.

The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.

We need to determine the surface area of the prism.

<u>Surface area of the prism:</u>

The surface area of the prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base and h is the height of the triangle.

s₁, s₂, s₃ are the side lengths of the triangle and

H is the height of the prism.

Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;

SA=(12)(5)+(12+5+13)(10)

SA=60+(30)(10)

SA=60+300

SA=360 \ in^2

Thus, the surface area of the triangular prism is 360 square inches.

Hence, Option b is the correct answer.

8 0
3 years ago
HELP ME WITH 16 &amp; 17
damaskus [11]

__Data__

The equilateral's lengths are all the same

Also if AB = AD = BD = CD that would mean all those sides have the exact same length

Answers and Explanations

15A. BCD has 2 acute angles and one obtuse angle, so this is an Obtuse Triangle

15B. If beforementioned = 5 cm

Then the perimeter is 5cm x 3 = 15cm

15C. ABC is a Right Triangle  

16. abcdef. Measure the angles using a protractor

17. The shortest side of ABC is AB which is 5cm, the longest is AC which is 10cm

Shortest side: Longest side

5cm:10cm

1:2 is the ratio

7 0
2 years ago
What does 351 = (y × 8) + 7 equal
bogdanovich [222]

Simplify brackets

351 = y * 8 + 7

Regroup terms

351 = 8y + 7

Subtract 7 from both sides

351 - 7 = 8y

Simplify 351 - 7 to 344

344 = 8y

Divide both sides by 8

344/8 = y

Simplify 344/8 to 43

43 = y

Switch sides

<u>y = 43</u>

6 0
3 years ago
Read 3 more answers
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