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3 years ago

Mrs. Brown hosts an yearly art contest keeps a record of the number of entries each year.

Mathematics

1 answer:

olganol [36]3 years ago

4 0

1. Slope = rate of change
Shown on the graph, for 2016 there are 36 entries. For 2017, there are 40
Since it’s only one year
You can subtract 36 from 40
40 - 36 = 4
Solution: the slope is 4

2. Months increase the most, the lines which are steeper and going upward (since it’s increasing)
Solution: from 2015 to 2016

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Emily wants to know the volume of a beach ball. She deduces that the beach ball has diameter of 12 inches, and then uses the fol

Over [174]

Answer:

D. She used the beach's ball's diameter when she should have used the radius

Step-by-step explanation:

To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.

The formula she used is correct.

Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.

Radius (r) = ½(diameter) = ½(12) = 6 in.

This is where Emily made a mistake.

She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.

She should have gotten,

V = ⁴/3(3.14)(6)² = 904.32 cubic inches

7 0

2 years ago

a study indicated that the citizens of Morristown waste and 5840 gallons of water last year this year they wasted 15% more than

joja [24]

Answer-

The total amount of water wasted this year is 6716 gallons.

Solution-

A study indicated that the citizens of Morris-town wasted 5840 gallons of water last year.

This year they wasted 15% more than that amount they wasted previous year.

15% of 5840 is,

$5840\times \frac{15}{100}=876$

The total amount of water wasted this year =

The amount of water wasted previous year + 15% more of the amount of that

= 5840 + 876

= 6716 gallons

Therefore, the total amount of water wasted this year is 6716 gallons

8 0

3 years ago

Read 2 more answers

What's 6+□=3+□ please help me I really need the answer

Alexeev081 [22]

6+3 = 3+6 is your answer

8 0

3 years ago

Read 2 more answers

What is the simplified form of

umka21 [38]

Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.

Answer:

$\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4$

Step-by-step explanation:

Given the expression

$\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)$

solving the expression

$=-7x^0+5x^2-x+6-\left(-8x^2+x+3\right)$

apply the rule: $a^0=1,\:a\ne \:0$

$=-7+5x^2-x+6-\left(-8x^2+x+3\right)$

$=-7+5x^2-x+6+8x^2-x-3$

simplify

$=13x^2-2x-4$

Therefore, the simplified form is:

$\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4$

Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.

8 0

3 years ago

Determine the general solution of: sin 3x - sin x = cos2x

SpyIntel [72]

Sin³ x-sin x=cos ² x

we know that:
sin²x + cos²x=1 ⇒cos²x=1-sin²x
Therefore:

sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0

sin³x=z

z³+z²-z-1=0

we divide by Ruffini method:
1   1 -1 -1
1 1 2 1 z=1
-------------------------------------
1   2 1 0
-1   -1 -1 z=-1
--------------------------------------
1 1 0 z=-1

Therefore; the solutions are z=-1 and z=1

The solutions are:
if z=-1, then
sin x=-1   ⇒x= arcsin -1=π+2kπ (180º+360ºK) K∈Z

if z=1, then
sin x=1   ⇒ x=arcsin 1=π/2 + 2kπ (90º+360ºK) k∈Z

π/2 + 2kπ U   π+2Kπ=π/2+kπ k∈Z ≈(90º+180ºK)

Answer: π/2 + Kπ or 90º+180ºK K∈Z
Z=...-3,-2,-1,0,1,2,3,4....

6 0

3 years ago