the sum of 8 and a number

Answer:

x = -4

Step-by-step explanation:

Since the slope is undefined, the line is a vertical line.  All vertical lines have an equation x = k.  In your problem k = -4, so the equation of the line is x = -4

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:

1.5 inches. you take 450 and divide it by 300

Answer:

3 years

Step-by-step explanation:

To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14100 dollars is: 11.6.

Using this formula

A=P(1+r/n)^nt

Let plug in the formula

14,100=8000(1+0.05)^t

(1+0.05)^t=14,100/8000

(1+0.05)^t=1.7625

1.05^t=1.7625

t=log(1.7625)/log(21/20)

t=0.246/0.021189

t=11.6

Therefore how long must the person leave the money in the bank until it reaches 14100 dollars is: 11.6.

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Answer:

r = 1

Step-by-step explanation:

Answer:

x = 38.2°

Step-by-step explanation:

sin 27°  =    x°  

    11             15

15 · (sin 27°) = 11 · x°

cross-multiply:

6.81 = 11x

6.81 / 11 = x

x = 0.619

sin^-1 (0.619) = 38.2°

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:

volume of cone=424cm³

height(h)=5cm

radius (r)=?

Step-by-step explanation:

we have

volume of cone=1/3(πr²h)

424=1/3(22/7×r²×5)

424×3=15.71r²

r²=1272/15.71

r=√80.9=8.9=9cm

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:

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:

Chromebook: 0.25 percent per minute

iPhone: 0.5 percent per minute

1) The phone

2) Faster by 0.25 percent per minute, or 1 percent every four minutes

3) The phone

4) 25 percent more

5) The phone

Answer:

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

Step-by-step explanation:

Answer:

the very first one 8.62<8.623

Answer: 5

Step-by-step explanation:

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

Answer:

I might be wrong but Karl misplaced the (5). Karl puth the 5 in the (x) area instead of the y.it had to be (3-5)^2

Answer:

m<X = 27 degrees

Step-by-step explanation:

From △VWX, since WX = XV, this mean that the triangle is isosceles

The base angle of an isosceles triangle are equal hence <W = <X

Since <W = 27 degrees, hence m<X = 27 degrees

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 and Step-by-step explanation:

Use the Pythagorean Theorem to solve for the height.

[tex]a^{2}+ b^{2}= c^{2} \\\\\\4^{2} + b^{2} = 5^{2}\\\\\\16 + b^{2} = 25\\\\\\b^{2} = 9\\\\\\b = 3[/tex]

The height of the triangle is 3.

Now we can solve the shapes in  the trapezoid.

4 times 3 = 12 (Rectangle)

[tex]\frac{4 * 3}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6 (Triangle)

12 + 6 = 18 (Trapezoid)

The area of the trapezoid is 18 [tex]units^{2}[/tex].

#teamtrees #PAW (Plant And Water)

Answer:

Angle x = 38°

Step-by-step explanation:

It is important to note that:

Two angles are called supplementary when their measures add up to 180 degrees.

Angle x and y are supplementary

Angle y = 142°

Hence,

Angle x = 180° - 142°

Angle x = 38°

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:

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:

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 :) ❤

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

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

Answer:

Three perpendicular bisectors are required

Step-by-step explanation:

A perpendicular bisector of a line segment is a line that cuts the line segment at a 90° angle, dividing it into two equal halves.

In this example, one bisector produces two equal parts of the segment

two bisectors produce three segments and three bisectors, four segments as shown in the diagram.

Perpendicular bisectors are constructed using a compass and a pencil, you can check out how to construct one, it is pretty interesting.

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: 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:

g+4=12

Step-by-step explanation:

Since the painter used 4 of the 12 gallons, the painter now has 8 gallons, so g=8.

The equation g+4=12 represents this because if we solve it by isolating g then we get that g=8.