If the ribbon costs 10 cents ($0.10) per foot, what is the total cost of the ribbon in dollars? Explain your reasoning.....how do you know where to place the decimal?

Answer:

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

Answer:

8 4/5

Step-by-step explanation:

Answer:

this is the answer i hope it helps you 3 33/40

Answer:

2 pounds

Step-by-step explanation:

i feel like it's a trick question :/

Answer:

Step-by-step explanation:

To find it we will divide:

The first number is 10^10 times larger

Answer:

  1e+16 and 1000000 multiply it then divide...

Step-by-step explanation:

Answer:

Step-by-step explanation: 1,872

Answer: 1,872

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

119.6

Step-by-step explanation:

52 × 230  over 100 = 119.6

Answer:

169

Step-by-step explanation:

Answer and Step-by-step explanation: There are a number of ways of calculating an area under a curve. The more precise way is to use Definite Integral:

The function is [tex]2x\sqrt{x^{2}+1}[/tex], then the area under, with interval between 0 and 6 is:

[tex]\int\limits^6_0 {(2x\sqrt{x^{2}+1}) } \, dx[/tex]

To solve this integration, use substitution method, in which:

[tex]u=x^{2}+1[/tex]

[tex]\frac{du}{dx}=2x[/tex]

du = 2xdx

Replacing into the integral:

[tex]\int\limits^a_b {\sqrt{u} } \, du[/tex]

Solving:

[tex]\int\limits^a_b {\sqrt{u} } \, du=\frac{2}{3} \sqrt{u^{3}}[/tex]

Replacing it back to x:

[tex]\int\limits^6_0 {2x\sqrt{x^{2}+1} } \, dx =\frac{2}{3}\sqrt{(x^{2}+1)}[/tex]

Substituing limits between 0 and 6:

[tex]= \frac{2}{3}[\sqrt{(6^{2}+1)^{3}}-\sqrt{(0^{2}+1)^{3}} ][/tex]

= 149.37

Area under the curve using Integration is 149.37 square units

Another way of calculating area under the curve is dividing the area into a number of small rectangles and then adding the area of each one. This method is called Riemann Sums and it is an approximation of the area.

The method is done by the following relation:

in which

i is the n, the number of subintervals the area is dividing into

Δx is width of each subintervals.

For the function f(x) = [tex]2x\sqrt{x^{2}+1}[/tex], interval between 0 and 6:

[tex]\Delta x=\frac{6-0}{12}[/tex]

[tex]\Delta x=[/tex] 0.5

[tex]A=\Sigma f(x_{i}).\Delta x[/tex]

[tex]A = f(0)*0.5+f(0.5)*0.5+f(1)*0.5+f(1.5)*0.5+f(2)*0.5+f(2.5)*0.5+f(3)*0.5+f(3.5)*0.5+f(4)*0.5+f(4.5)*0.5+f(5)*0.5+f(5.5)*0.5[/tex]

[tex]A=0+1.12*0.5+2.83*0.5+...+50.99*0.5+61.49*0.5[/tex]

A = 131.575 square units

[tex]\Delta x=\frac{6-0}{5}[/tex]

Δx = 1.2

[tex]A=f(0)*1.2+f(1.2)*1.2+f(2.4)*1.2+f(3.6)*1.2+f(4.8)*1.2[/tex]

[tex]A=0*1.2+3.75*1.2+12.48*1.2+26.90*1.2+47.07*1.2[/tex]

A = 108.24 square units

Comparing results, notice that with less subintervals, the area is far from the exact measure. It occurs because Riemann Sums is an approximation method. So, if there are more subintervals, more approximate is the area, therefore, more precise it will be.

Answer:

15,003 and Highest Point

Step-by-step explanation:

The highest point is at a positive 14,864 feet so we will use the number 14, 864.

The lowest is at a negative (below sea level) 141, so we will use the number -141.

The difference between them means that you subtract.

14,862-(-141)= x

Note that there is a double negative so it is positive.

14862+141=15,003 feet difference between them.

A city at 7642 above sea level is:

7642-14862=7222 feet away. The city is 7222 feet away from the highest point.

7642--141=7783 feet away. The city is 7783 feet away from the lowest point.

7222 is less than 7783, so the city is closest to the highest point.

Answer:

The difference is 15,005 and for the second part its closer to the highest point

Hope this helps!

Answer:

150 cubic centimeters

Step-by-step explanation:

1/6×X+95=4/5×X

Subtract X from both sides of the equation

Multiply/Combine like terms

95=19/30×X

Multiply by 30/19 and simply

30/19*95=X

Solve for X to get 150

1/6×150=25

4/5×150=120

Answer:

150 cubic centimeters

Step-by-step explanation:

1/6*x+95=4/5*x

Move stuff around

95=1/6+4/5*x

Multiply/Combine like terms  

95=19/30*x

Multiply by 30/19 and then simplify

30/19*95=x

Solve for x

1/6*150=25

4/5*150=120

Answer:

y = [tex]-\frac{11}{2}[/tex] x + [tex]\frac{159}{2}[/tex]

Step-by-step explanation:

(1, 74)

(3, 63)

m = (63 - 74) / (3 - 1) = [tex]-\frac{11}{2}[/tex]

y - 74 = [tex]-\frac{11}{2}[/tex] (x - 1)

y = [tex]-\frac{11}{2}[/tex] x + [tex]\frac{159}{2}[/tex]

Answer:

1. -8 feet= 8 feet

-2 feet= 2 feet

2.  Jordin’s balance is a debt of MORE than 27$

3. Dinah had the greatest DECREASE in weight, with losing 1.4 pounds.

Hope this helps hun! Good Luck!

Answer:

The answer is 6 6/12

Step-by-step explanation:

Answer:

p

Step-by-step explanation:

Given:

The expression is

[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]

We know that,

[tex]\cos x=2\cos^2 (\dfrac{x}{2})-1[/tex]

Using this formula, the given expression can be written as

[tex]2\cos^2(\dfrac{x}{2})-\left(2\cos^2(\dfrac{x}{2})-1\right)[/tex]

[tex]=2\cos^2(\dfrac{x}{2})-2\cos^2(\dfrac{x}{2})+1[/tex]

[tex]=1[/tex]

Therefore, the given expression is equivalent to 1.

Answer:

B

Step-by-step explanation:

Answer:

$57.38

Step-by-step explanation:

The total bill is $45.90.

They decided to tip the waiter 25%.

Therefore, the total amount they leave will be the total bill plus the amount they will tip.

They amount they tipped is 25% of the total bill. Therefore, the tip is 0.25(45.9) or approximately $11.48 (rounded up).

So, the amount they will leave is the original amount plus the tip. So, in total, they left:

$45.90+$11.48 or $57.38

Answer:

57.38

Step-by-step explanation:

percent means per one hundred, or 1/100.

25%=25/100

45.90 times 25/100= 11.475

Since money doesn't have a thousandthes digit, I just rounded it up to 11.48.

11.48+45.90=57.38

Another way you could do it would be to just mutiply 45.90 by 125/100 to get 57.375, which rounds to 57.38.

Answer:

3 /4 I think

Step-by-step explanation:

Answer:

The price elasticity of demand is calculated as the percentage change in quantity divided by the percentage change in price.

Jordan made a total of $50 for maintaining his neighbor's yard.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

given, Jordan earned $35 for taking care of his neighbors lawn suppose the neighbor gave him a $15 tip.

Thus,

Total money Jordan earned = Salary + tip

Total money Jordan earned = 35 + 15

Total money Jordan earned = 50

therefore, the total amount Jordan earned is $50 for taking care of his neighbor's lawn.

Learn more about Mathematical operations here:

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Answer:

9

Step-by-step explanation:

The answer is 9. You can figure it out by counting up from 8!

Answer:

8

Step-by-step explanation:

you can multiply 4 by another number to get 8

but you can’t multiply 6 by any whole number to get 8

Answer:

The answer is 8

Step-by-step explanation:

You can multiply 4 by two and get 8, but you can't multiply 6 by any whole number and get 8.

4 times 6= 24

6 times 4=24

4 times 3=12

6 times 2=12

4 times 15=60

6 times 10=60

Answer: Choice C) AAS

Nice work on getting the correct answer.

=======================================================

Explanation:

We're given that angle A = angle C. This is shown in green in the diagram below.

AB || DC so we can show that angle ABD = angle CDB by the alternate interior angle theorem. This is shown in red.

Finally, we know that BD = BD which is marked in blue.

Note how the blue segment is not between the red and green angle for any of the two triangles. So we use AAS instead of ASA. The order is important.

Answer:

15:40

Hope it helps!

Answer:

90°

Step-by-step explanation:

Measure of angle 3 is,

⇒ ∠3 = 90 degree

We have to given that,

A kite is shown in image.

Since, We know that,

If two sides of  triangle are equal then its corresponding angles are also equal in a triangle.

Now, By given figure, we have;

64 x 2 + x + x = 180

128 + 2x = 180

2x = 180 - 128

2x = 52

x = 26

So, We get;

Measure or angle 1 is,

∠ 1 + 64 + 26 = 180

∠1 = 180 - 90

∠1 = 90 degree

Hence, By definition of vertically opposite angle,

⇒ ∠1 = ∠3 = 90 degree

Learn more about the angle visit:;

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Answer:

a) 0.0977

b) 0.3507

c) No it is not unusual for a broiler to weigh more than 1610 grams

Step-by-step explanation:

Mean = 1395 grams

Standard deviation = 200 grams. Use the TI-84 Plus calculator to answer the following.

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

(a) What proportion of broilers weigh between 1160 and 1250 grams?

For x = 1160

z = 1160 - 1395/300

= -0.78333

Probability value from Z-Table:

P(x = 1160) = 0.21672

For x = 1250 grams

z = 1250 - 1395/300

z = -0.48333

Probability value from Z-Table:

P(x = 1250) = 0.31443

The proportion of broilers weigh between 1160 and 1250 grams is

0.31443 - 0.21672

= 0.09771

≈ 0.0977

(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?

For x = 1510

= z = 1510 - 1395/300

z = 0.38333

Probability value from Z-Table:

P(x<1510) = 0.64926

P(x>1510) = 1 - P(x<1510) = 0.35074

Approximately = 0.3507

(c) Is it unusual for a broiler to weigh more than 1610 grams?

For x = 1610

= z = 1610 - 1395/300

z = 0.71667

Probability value from Z-Table:

P(x<1610) = 0.76321

P(x>1610) = 1 - P(x<1610) = 0.23679

No it is not unusual for a broiler to weigh more than 1610 grams

Answer:

C=84∘, a=2, c=7

Step-by-step explanation:

Answer:

Sorry, but i need to do my homework as well. The answer is: a=4, b=2, c=82

Answer: y-6=5/6(x-4)

Step-by-step explanation:

using the 2 points to find the slope (-2,1) and (4,6):

(6-1)(4--2)=5/6

y-6=5/6(x-4)