How do u write 342 hundredths

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:

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:hi how’s it going

Step-by-step explanation:

Answer:

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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:

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:

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:

$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:

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:;

https://brainly.com/question/25716982

#SPJ2

Answer:

2 pounds

Step-by-step explanation:

i feel like it's a trick question :/

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:

the perimeter is 25.

Step-by-step explanation:

have a nice day!

Answer:

Step-by-step explanation: 1,872

Answer: 1,872

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: -22

Step-by-step explanation:

first let's plug in -10 to the f(x) function.

F(-10) = 3(-10) + 10 = -30 +10 = -20

Now we plug in -20 into the g(x) function

g(-20) = -20 -2 = -22

Answer:

If g(x) = x - 2, then g(f(x)) = f(x) - 2. So the whole equation would be: 3x + 10 × x - 2. Simplified: g(f(x)) = 13x - 2

UwU

Answer:

3 /4 I think

Step-by-step explanation:

Answer:

X=8

Step-by-step explanation:

Hope this helps

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:

c

Step-by-step explanation:

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:

The answer is 6 6/12

Step-by-step explanation:

Answer:

8 4/5

Step-by-step explanation:

Answer:

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

Answer:

The dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m

Step-by-step explanation:

let a side of the equilateral triangle = x

let a side of square = y

3x + 4y = 22

4y = 22 - 3x

[tex]y = \frac{11}{2} -\frac{3x}{4}[/tex]

subjective function, the total area is given by;

[tex]f(x,y) = \frac{x^2\sqrt{3} }{4} +y^2[/tex]

[tex]f(x) = \frac{x^2\sqrt{3} }{4} + (\frac{11}{2} -\frac{3x}{4})^2\\\\f(x) = \frac{x^2\sqrt{3} }{4} +\frac{121}{4} -\frac{33x}{4} +\frac{9x^2}{16} \\\\f(x)' = \frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8} \\\\\frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8}=0\\\\\frac{x\sqrt{3} }{2} + \frac{9x}{8} =\frac{33}{4}\\\\\frac{4x\sqrt{3} +9x}{8} = \frac{33}{4}\\\\4x\sqrt{3} +9x = 66\\\\x(4\sqrt{3} +9) = 66\\\\x(15.928) = 66\\\\x = \frac{66}{15.928}\\\\x = 4.144 \ m[/tex]

solve for y

[tex]y = \frac{11}{2} -\frac{3x}{4}\\\\y = \frac{11}{2} -\frac{3*4.144}{4}\\\\y = 5.5-3.108\\\\y = 2.392 \ m[/tex]

Therefore, the dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m

Answer:

p

Step-by-step explanation:

Answer:

The cost would be $0.10. You would figure this out because 10 cents is a 10th of a dollar

Step-by-step explanation:

Answer:

The vertex of the function g(x) = f(x + 2) + 3 is (-6, -2)

Step-by-step explanation:

Let us use these facts above to solve the question

∵ The quadratic function f(x) = y has a vertex point (-4, -5)

∵ g(x) = f(x + 2) + 3

→ By using the two facts above

∴ f(x) is translated 2 units to the left

∴ f(x) is translated 3 units up

→ That means the vertex point must move 2 units left and 3 units up

∵ The rule of translation is T (x, y) → (x - 2, y + 3)

∵ The coordinates of the vertex point of f(x) are (-4, -5)

∴ Its image is (-4 - 2, -5 + 3)

∴ Its image is (-6, -2)

∴ The vertex of the function g(x) = f(x + 2) + 3 is (-6, -2)