drought can cause the level of the local water supply to drop by a few inches each

week. Suppose the level of the water supply drops 2 inches each week. How much will it

change in 4 weeks? ________

Answer:

5%

Step-by-step explanation:

As given,

The population of the town increased from 175000 to 262500 in a decade.

⇒ In 10 years , population increased from 175000 to 262500

⇒% increase = [tex]\frac{262500 - 175000}{175000}[/tex]× 100% = [tex]\frac{87500}{175000}[/tex]×100% = 0.5×100% = 50%

Now,

Average % increase = [tex]\frac{percent increase}{Total years}[/tex] = [tex]\frac{50}{10}[/tex]% = 5%

∴ we get

Average percent increase of population per year = 5%

Answer:

correct students

-5+2x=15

2x=15+5

2x=20(divided by 2 both sides)

x=10

mistake students

-5+2x=15

-3x=15(divided by - 3 both sides)

x=-5

The required simplified value of the given expression is given as x = 10.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
-5 + 2x = 15

Now,
Adding 5 on both sides,
2x = 15 + 5
2x = 20

Divide by 2 into both sides
x = 10

Thus, the required simplified value of the given expression is given as x = 10.

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The question is incomplete, the correct solution is given above, to determine the mistake of the student, compare the above solution with the student solution.

Answer:

f(x)= -10cos(3x)+10

Step-by-step explanation:

I hope this is right !

Answer:

9. C

10. C

Step-by-step explanation:

Hi! Your answer is 125/3 π

Please see an explanation for a clear understanding to the problem.

Any questions about the answer/explanation can be asked through comments! :)

Step-by-step explanation:

For this problem, I'll be demonstrating two methods to solve your problem which are Integration method and Formula method. Let's start with Formula method first!

Formula Method

Volume of Cone Formula

[tex]V=\huge{\frac{1}{3}\pi r^2h}[/tex]

r is a radius. Therefore, r² is a diameter.

h is height of cone.

Our r is 5. Therefore, 5² = 25.

Our h is 5.

Substitute these values in the equation.

[tex]V=\huge{\frac{1}{3}\pi (5)^2(5)}\\V=\huge{\frac{1}{3}\pi (25)(5)} \\V=\huge{\frac{1}{3}\pi (125)}\\V=\huge{\frac{125}{3}\pi}[/tex]

Hence, the volume of a cone is 125/3 pi. If you want in Mixed Number form then It'd be 41 and 2/3 pi [ 41 2/3 pi]

Integration Method - Proof

Let r':r = x:h

Therefore,

[tex]\huge{\frac{r'}{r}=\frac{x}{h}}\\\huge{r'=\frac{x}{h}r[/tex]

r and h both are same (r is still radius while h is still height)

[tex]\huge{S(x)=\pi(r')^2[/tex]

The reason why we add pi because the surface is a circle. If the surface is not a circle, we don't add pi.

[tex]\huge{S(x)=\pi(\frac{x}{h}r)^2}\\\huge{S(x)=\pi(\frac{x^2r^2}{h^2})}\\\huge{S(x)=\frac{\pi r^2}{h^2}x^2}\\[/tex]

The range starts from 0 ≤ x ≤ h

[tex]\huge{V=\int\limits^h_0 {S(x)} \, dx[/tex]

Substitute S(x) in.

[tex]\huge{V=\int\limits^h_0 {\frac{\pi r^2}{h^2}x^2 } \, dx[/tex]

Integrate, separate everything in the integrand out except for x^2

[tex]\huge{V=\frac{\pi r^2}{h^2} \int\limits^h_0 {x^2} \, dx}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}x^3]^h__0}}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}h^3]}\\\huge{V=\pi r^2[\frac{1}{3}h]}\\\huge{V=\frac{1}{3}\pi r^2h}[/tex]

As you notice, Integration method is pretty useful, but it's mostly for an advanced volume lesson only.

Integration Method - Problem Solving

Let r':r = x:h

r is given as 5

h is given as 5 as well.

Therefore, r':5 = x:5

[tex]\huge{\frac{r'}{5}=\frac{x}{5}}\\\huge{r'=\frac{x}{5}(5)}\\r'=x[/tex]

[tex]\huge{S(x)=\pi(r')^2}\\\huge{S(x)=\pi(x^2)}\\\huge{S(x)=\pi x^2}[/tex]

The range of volume starts from surface to height. Therefore the range is 0 ≤ x ≤ 5

[tex]\huge{V=\int\limits^5_0 {S(x)} \, dx }\\\huge{V=\int\limits^5_0 {\pi x^2} \, dx }\\\huge{V=\pi\int\limits^5_0 {x^2} \, dx }\\\huge{V=\pi[\frac{1}{3}x^3]^5__0}}\\\huge{V=\pi[(\frac{1}{3}(5)^3-\frac{1}{3}(0)^3]}\\\huge{V=\pi[(\frac{1}{3}(125)-0)]}\\ \huge{V=\pi[(\frac{1}{3}(125)]}\\\huge{V=\pi(\frac{125}{3})}\\\huge{V=\frac{125}{3}\pi}[/tex]

Notice that both methods have same answer. Hence, we can conclude that the volume of a cone is 125/3 pi units²

Answer:

Step-by-step explanation:

8/3=3(c+5/3)

multiply both sides by 3

8=9(c+5/3)

divide both sides by 9

8/9=c+5/3

subtract 5/3 from both sides

c=8/9-5/3

change 5/3 to 15/9

c=8/9-15/9

c=-7/9

It's B isn't it? If this is the question I'm thinking of. No image here so I'm just guessing.

Answer:

1. (5,2)

2. (8,10)

3. (6, -10)

4. (-4, -8)

5. (-10, 0)

6.(-8,7)

7. (-6,-9)

8.(9,-6)

9. (5,-6)

10.(6,-6)

Answer:

[tex] \frac{8}{25} [/tex]

Explanation

[tex] \frac{0.32}{100} [/tex]

2 numbers are beyond the decimal point. This is in the hundredths place. So place the decimal upon 100. It will become

[tex] \frac{32}{100} [/tex]

To simplify this fraction find the lowest common multiple that can go both in 32 and a 100 without leaving a remainder. That would be 4.

32 ÷ 4 = 8

100÷4 = 25

Answer:

3

Step-by-step explanation:

Answer:

3 terms are given

Step-by-step explanation:

Answer:

[tex]-\frac{3}{4\\}[/tex]

Step-by-step explanation:

Answer:

The Manchester, England sweater is more expensive.

27 GBP is equal to 49.52 CAD, which is more than the 38 CAD from the afterwards.

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Terms are single numbers, variables, or the product of a number and variable.

Answer:

x = 1.5 and z = 118

Step-by-step explanation:

z = 118° (Opposite side angles)

Total angle of the "x" = 360°

=> 118 + 118 + (8x + 50) + (8x + 50)

=> 236 + 16x +100 ° = 360°

=> 336° + 16x = 360°

=> 16x = 360 - 336

=> 16x = 24°

=> x = 24/16

=> x = 1.5

Hope it helps

Answer:

Area=190.091 cm^2

Step-by-step explanation:

Area = 1/2(Pi x r^2)    one-half because it's a semi-circle

Area=1/2(3.14 x 11^2)

11^2=121 so, Area=1/2(3.14 x 121)

Area=1/2(379.94)

Area=189.97 cm^2

adjustment:

Area=1/2(3.142 x 11^2)

Area=1/2(3.142 x 121)

Area=1/2(380.182)

Area=190.091

Answer:

[tex]5\frac{3}{4}[/tex]

Step-by-step explanation:

We know that Madelyn bought 12 5/8 of fabric, we then are told she used 6 7/8 of them for a costume followed by asking how much fabric she has left.

Madelyn has 12 5/8 in total

She took away 6 7/8.

To make this easier for us, we can make both fractions improper, which can be done by multiplying the whole number by the denominator and adding the numerator.

[tex]12\frac{5}{8} -6\frac{7}{8}[/tex]

Multiply the whole number by the denominator :

[tex]\frac{5}{96} - \frac{7}{48}[/tex]

Add the numerator and change the denominator back to 8 :

[tex]\frac{101}{8} - \frac{55}{8}[/tex]

Subtract the numerators :

[tex]\frac{101 - 55}{8} = \frac{46}{8}[/tex]

Simplify the fraction to the lowest possible :

[tex]\frac{46/2}{8/2} = \frac{23}{4}[/tex]

Put the improper fraction back into a mixed fraction :

[tex]5\frac{3}{4}[/tex]

Answer:

Step-by-step explanation:

theres no information

Answer:

none because there are no numbers there I'll help you when you add the numbers

Step-by-step explanation:

but have a good rest of your day :) ❤

Answer: I wasn't sure if number 18 was 350.00 but that's what I put down to do the problem hope I'm not too late.

9. $72.45

10. $15.52

11. $30.69

12. $48.95

13. $6.39

14. $67.6

15. $18.02

16. $51.6

17. $11.25

18. $175.00

19. $3.20

20. $10.00

21. $31.25

22. $45.90

Step-by-step explanation:

Answer:

4116

Step-by-step explanation:

2014

12000÷10=1200 (10%)

1200x3=3600

12000-3600=8400

2015

8400÷10=840

840x3=2520

8400-2520=5880

2016

5880÷10=588

588x3=1764

5880-1764=4116

Answer: 450 cm³ is the volume

Step-by-step explanation:

Volume of pyramid = L x W x H divide by 3

The required volume of the given square pyramid is 20,250 cubic centimeters.

Given that,
The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters. The volume of the pyramid in cubic centimeters is to be determined.

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the square pyramid is given as,
= 1/2 area of base × height
= 1/2[30×30]×45
= 900 × 45 / 2
= 20,250 cubic centemeters.

Thus, the required volume of the given square pyramid is 20,250 cubic centimeters.

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Answer:

Step-by-step explanation:

(1-0.32)p=357

0.68p=357

p=$525

Answer:

471.24

Step-by-step explanation:

First you want to find 32% of 357, which is 114.24. Then you want to add that onto 357. Hope this helps!

Answer:

-15/16

Step-by-step explanation:

1/16 ÷ -1/15 = -15/16

Brainliest please :)

Answer:

15 over 16

Step-by-step explanation:

1/16 devide 1/15

=1/16*15

=15/16

Answer:

i think it's movin and groovin i'm not completely sure

Step-by-step explanation:

if i'm right please mark me brainlyist

Answer:

D

Step-by-step explanation:

supplementary means two angles that there sum will be 180. and 30 x 4 = 120 + 20 = 140 and if you add the other angle 40 that's 180.

Answer:

Put 2.6 carrots in each bag.

Step-by-step explanation:

Just divide the carrots with 5.

13 carrots / 5 sandwhich bags

This then makes 2.6 carrots which is a perfect fit for each bag.

Answer:8

Step-by-step explanation:

Answer: square root of 76

Step-by-step explanation:

6^(2)+4^(2)-2*6*4*cos120= 76 and then to simplify you square root it