Find the volume of the composite solid. Round your answer to the nearest tenth.

Answer:

y is greater than or equal to 14

Step-by-step explanation:

Answer:

y ≥ 14

Step-by-step explanation:

y - 27 ≥ -13

you manipulate this inequality like it is an equation. Only take care that the inequality swaps if you multiply by a negative. In this case, that is not needed.

y - 27 +27 ≥ -13+27

y ≥ 14

Answer:

The hypotenuse to the nearest tenth is 8.1

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

Let a be the x leg and b be the y leg

a = 7 units

b= 4 units

7^2 + 4^2 = c^2

49+ 16 = c^2

65 = c^2

Take the square root of each side

sqrt(65) = sqrt(c^2)

8.062257748 =c

To the nearest tenth

8.1 =c

Answer:

43.96

Step-by-step explanation:

you get pi which is 3.14 times 7 and then times 2

Answer:

43.98 inches

Step-by-step explanation:

The circumference of a circle can be found using:

[tex]c=2r\pi[/tex]

We know r, or the radius is 7, so we can substitute that in

[tex]c=2*7(\pi )[/tex]

[tex]c=14\pi[/tex]

c=43.9822972

or, about

43.98 inches

Answer:

19

Step-by-step explanation:

Solve for the value of w.

3w - 4 = 8

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides:

3w - 4 (+4) = 8 (+4)

3w = 8 + 4

3w = 12

Divide 3 from both sides to fully isolate the variable, w:

(3w)/3 = (12)/3

w = 12/3

w = 4

Plug in 4 for w in the first expression & solve:

5w - 1

5(4) - 1

20 - 1

19

19 is your value.

~

Answer:

19

Step-by-step explanation:

First, we need to solve for w by isolating it

3w-4=8

Add 4 to both sides

3w=12

Divide both sides by 3

w=4

Now we know w and can plug 4 in for w and solve

5w-1

5(4)-1

20-1

19

The Chancellor can use a multi-stage sampling method to gather citizen opinions by dividing the galaxy into various regions, selecting a sample of these regions, and then selecting a sample of planets within these regions for surveying citizens.

The Chancellor could use a multi-stage sampling method to effectively gather data from the galaxy's population. This method involves breaking down the larger population into smaller, manageable subsets in a sequence of levels or 'stages'. Here's an example of how it could work:

This method will make the task feasible and manageable, given the constraint of resources. It also ensures that a diverse range of opinions can be captured from all over the galaxy.

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Answer:

0.07215 = 0.072 to 3 d.p.

Step-by-step explanation:

Central limit theorem explains that the sampling distribution obtained from this distribution will be approximately a normal distribution with

Mean = population mean

μₓ = μ = 9.8 minutes

Standard deviation of the distribution of sample means = σₓ = (σ/√n)

σ = 12 minutes

n = sample size = 30

σₓ = (12/√30) = 2.191

Probability that a random sample of 30 overtime periods would have a (sample) mean length of more than 13 minutes

Required probability = P(x > 13)

Since we've established that this distribution of sample means approximates a normal distribution

We first standardize 13 minutes.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (13 - 9.8)/2.191 = 1.46

Required probability

P(x > 13) = P(z > 1.46)

We'll use data from the normal probability table for these probabilities

P(x > 13) = P(z > 1.46) = 1 - P(z ≤ 1.46)

= 1 - 0.92785 = 0.07215

Hope this Helps!!!

Answer:

2,5

Step-by-step explanation:

es decimal porque es un numero impar

Answer:

2.5

Step-by-step explanation:

básicamente, dividirías 5 y 2. No hagas 2 y 5. Eso te dará un número completamente diferente y no querrás un decimal de la fracción 2/5. Quieres la mitad de 5. ¡Entonces será 2.5! Lo siento, estoy usando el traductor de Google.

Answer:

1216 is equivalent to 68 because 12 x 8 = 16 x 6 = 96.

Step-by-step explanation:

Answer:

a) The evidence suggest the true mean life of a biomedical device > 5500

b) (5487.94, +∞)

c) There is evidence to support that the mean is equal to 5500

Step-by-step explanation:

Here we have

(a) To test the hypothesis we have the claim that the mean life of biomedical devices > 5500

Therefore, we put the null Hypothesis which is the proposition that a difference does not exist. That is

H₀:  μ = 5500

Therefore, the alternative hypothesis will be

Hₐ:  μ > 5500

The test statistic is then found by;

[tex]t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}} =\frac{5617.8-5500 }{\frac{234.5 }{\sqrt{15}}} \approx 1.95[/tex]

The P value from the T table at df = n - 1 = 15 - 1 = 14 is

0.025 < P < 0.05

The P value is given as 0.036 from the T distribution at 14 derees of freedom df

Therefore, since P < α or 0.05, we reject the null hypothesis. That is we fail to reject Hₐ:  μ > 5500. The evidence suggest the true mean life of a biomedical device > 5500

(b) The 95% confidence interval is given as

[tex]CI=\bar{x}\pm t_\alpha \frac{s}{\sqrt{n}}[/tex]

Which gives    t[tex]_\alpha[/tex] =  [tex]\pm[/tex]2.145

[tex]CI=5617.8\pm 2.145 \times \frac{234.5}{\sqrt{15}}[/tex]

The confidence interval of the lower bound on the mean is then

(5487.94, +∞)

c) From the above result, we find that the mean of 5500 is contained in the range of the lower confidence on the mean. We can therefore, accept the null hypothesis. That is there is evidence to support that the mean is equal to 5500.

Answer:

What is the average temperature in degrees Celcius of Alaska in the winter?

The integer -5 can represent a loss or debt of 5 in real-world situations like owing someone 5 dollars, or a temperature drop 5 degrees below zero. Another example could be temperature. If the temperature drops 5 degrees below zero, it can be represented as -5 degrees.

In Mathematics, an integer can represent various scenarios. The integer -5 could symbiotically stand for a loss or debt of 5 in real-world situations. For example, if you owe someone 5 dollars, your net balance would be -5 dollars. Another example could be temperature. If the temperature drops 5 degrees below zero, it can be represented as -5 degrees.

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9514 1404 393

Answer:

  square pyramid

Step-by-step explanation:

The description fits that of a square pyramid.

Answer:

5.4 hours

Step-by-step explanation:

As the number of hours of daylight y is modeled as a function of sin, and sin has the minimum value of -1. Therefore

[tex]sin(2\pi 365x-1.4) \geq -1[/tex]

[tex]7sin(2\pi 365x-1.4) \geq -7[/tex]

[tex]7.0sin(2\pi 365x-1.4)+12.4 \geq 5.4[/tex]

[tex]y \geq 5.4[/tex]

So the minimum number of hours of daylight in Anchorage is 5.4 hours

Final answer:

The minimum number of hours of daylight in Anchorage, Alaska, can be found using the equation provided. By considering the minimum value of the sine function, we determine that Anchorage experiences a minimum of 5.4 hours of daylight.

Explanation:

The minimum number of hours of daylight in Anchorage, Alaska, can be determined by examining the mathematical model y=7.0sin(2ω⁄365x−1.4)+12.4.

The amplitude of the sine function in this equation is 7.0, which determines the maximum variation above or below the average value.

Since the sine function oscillates between -1 and 1, the minimum value of the sine part of the equation will be -1.

Therefore, the minimum number of hours of daylight, y, occurs when the sine function is at its minimum value. By substituting -1 into the equation, we get y=7.0×(-1)+12.4, which simplifies to y=5.4.

This means that the minimum number of hours of daylight in Anchorage is 5.4 hours.

Answer:

x =1

Step-by-step explanation:

Solve the equation:

8 - 2x = -8x + 14

Collect like terms

8 - 14 = -8x + 2x

-6 = -6x

x = -6/-6

x = 1

Answer:

x=1

Step-by-step explanation:

i did the quiz

Answer:

It is a right triangle.

Step-by-step explanation:

A right triangle is a triangle with at least one angle with 90 degrees.

We know that every triangle has 180 degrees. The other unknown angle is 180 - (30+60) = 180 - 90 = 90. That means that the other angle is 90 degrees. Therefore, it is a right triangle

We also know that in this triangle, that the square of one side plus the square of another is side is equal to the square of the hypotenuse of the triangle. (According to Pythagorean theorem)

Answer:

The second-longest side is the square root of 3 times as long as the shortest side.

Answer:

⅖

Step-by-step explanation:

4/15 ÷ 2/3

4/15 × 3/2

2/5

Answer: 2/5 or 0.4

Step-by-step explanation: When dividing a fraction by another fraction you will always find the reciprocal of the second fraction and then multiply to get your answer.

4/15 divided by 2/3

4/15 multiplied by 3/2

0.4 or 4/10 or 2/5 is the value of 4/15 divided by 2/3

Answer:

32.5 miles on the 7th day

Step-by-step explanation:

1, 1.5, 2.5, 4.5

We need to determine the pattern

We are adding .5 + 1/4(2^n)

Lets check

n=1  .5+ 1/4(2) = .5+ .5 =1

n =2   .5 + 1/4*2^2 = .5 +1 = 1.5

n=3  .5 + 1/4 ( 2^3) = .5 + 8/4 = 2.5

n=4   .5 + 1/4 (2^4) = .5 + 16/4 = 4.5

n = 5  .5 + 1/4 (2^5) = .5 +32/4 = 8.5

n = 6   .5 + 1/4 (2^6) = .5 + 64/4 =16.5

n=7   .5 + 1/4(2^7)= .5 + 1/4(128) = 32.5

They bike 32.5 miles

Answer:

-3

Step-by-step explanation:

10 - -2 = 12

1 - 5 = -4

12 / -4 = -3

Answer:

m = -3

Step-by-step explanation:

slope formula [tex]\frac{10-(-2)}{1-5} = -\frac{12}{4}[/tex] = -3

Answer:

The fraction of tiles that will be the color of "sand" is 23/60

Step-by-step explanation:

we know that

The sum of the fractions of the tiles must be equal to 1

Let

x ----> the fraction of tiles that will be the color of "sand"

we have that

[tex]\frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1[/tex]

solve for x

Find the Least Common Multiple of denominators

[tex]LCM=(2^2)((3)(5)=60[/tex]

Multiply both sides by 60

[tex]\frac{60}{4}+\frac{60}{6}+\frac{60}{5}+60x=60[/tex]

simplify

[tex]15+10+12+60x=60[/tex]

[tex]60x=60-37\\60x=23\\x=\frac{23}{60}[/tex]

therefore

The fraction of tiles that will be the color of "sand" is 23/60

Answer:

40%

Step-by-step explanation:

multiply 80 by.40 you will get 32 hope this helps god bless

Answer:

Step-by-step explanation:

45 gallons but your questtion doesnt make sense because you dont give us the number in gallons per minute

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1/2( 4^3 - 6 * 3^2)

PEMDAS says parentheses first

( 4^3 - 6 * 3^2)

Exponents

(64 - 6 * 9)

Multiply and divide from left to right

64 - 54

Add and subtract from left to right

10

Substitute back into the expression

1/2(10)

5

Answer:

The Volume is decreasing at a rate of [tex]156\pi[/tex] [tex]cm^3[/tex] per minute.

Step-by-step explanation:

Given a cone of radius r and perpendicular height h

Volume of the cone, [tex]V=\frac{1}{3}\pi r^2 h[/tex]

Since the height of the cone is fixed, the rate of change of the volume of the Cone, [tex]\frac{dV}{dt}[/tex] is given as:

[tex]V=\frac{1}{3}\pi r^2 h \\\frac{dV}{dt}=\frac{h\pi}{3} \frac{d}{dt} r^2\\\frac{dV}{dt}=\frac{2rh\pi}{3} \frac{dr}{dt}[/tex]

We are to determine the rate of change of the Volume, V when:

The radius is decreasing at a rate of 2 cm per minute,  [tex]\frac{dr}{dt} = -2 cm/min[/tex]

Height, h=9 cm

Radius = 13cm

[tex]\frac{dV}{dt}=\frac{2rh\pi}{3} \frac{dr}{dt}\\=\frac{2*13*9\pi}{3}* ( -2)\\\frac{dV}{dt}=-156\pi \:cm^3/min[/tex]

The Volume is decreasing at a rate of [tex]156\pi[/tex] [tex]cm^3[/tex]  per minute.

Answer: (1) Leslie will need 2,380,525 square tiles (1 foot by 1 foot each)

(2) She will have to spend $1,785,393.75 to cover her patio.

Step-by-step explanation: Please refer to the picture attached.

The rectangular patio has been designed and as shown in the diagram has on side measuring 2135 ft and the other side measuring 1115 ft. This means, in order to cover the entire patio, she would have to cover an entire area defined as 2,135 feet into 1,115 feet. If one tile measures 1 foot long by 1 foot wide, the total number of tiles to cover the patio can simply be derived as;

Area = L x W

Where the length is 2135 and the width is 1115,

Area = 2135 x 1115

Area = 2380525

**Having in mind that one tile measures 1 ft by 1 ft, the area of each tile is given as

Area = L x W

Area = 1 x 1

Area = 1 square foot**

(1) The above calculation shows that Leslie would be using up a total of 2,380,525 square tiles to completely cover her patio.

(2) Having been told that each square foot of tile costs 75 cents ($0.75), the total amount spent to cover her patio would be calculated as follows;

Cost = Area x cost per tile

Cost = 2380525 x 0.75

Cost = 1785393.75

The total cost therefore is $1,785,393.75

Leslie needs [tex]\( 2380025 \)[/tex] square feet of tile, and it will cost her [tex]\( \$1785018.75 \)[/tex] to cover her patio.

1. Calculate the area of the patio:

  [tex]\[ \text{Area} = 2135 \times 1115 = 2380025 \text{ square feet} \][/tex]

2. Calculate the total cost of tiles:

[tex]\[ \text{Total cost} = 2380025 \text{ square feet} \times \$0.75/\text{sq ft} = \$1785018.75 \][/tex]

Therefore, Leslie needs [tex]\( 2380025 \)[/tex] square feet of tile, and it will cost her [tex]\( \$1785018.75 \)[/tex] to cover her patio.

Answer:

2x+2y=310

x-y=55

multiply seond equation by 2 and adding to first equation

2x-2y=110

add

2x-2y=110

2x+2y=310 +

4x+0y=420

4x=420

divide 4

x=105

sub

x-y=55

105-y=55

minuse 105

-y=-50

mult -1

y=50

the numbers are 105 and 50

Answer:

840

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

My answer:

In the menu, there are 6 main ingredients and we take 2 at the same time, so the possible outcomes is:

[tex]C^{6} _{2}[/tex] = [tex]\frac{6!}{(6-2)!*2!}[/tex] = 15

In the menu, there are 8 toppings and we take 3 at the same time, so the possible outcomes is:

[tex]C^{8} _{3}[/tex] = [tex]\frac{8!}{(8-3)!*3!}[/tex] = 56

=> the total  number of combinations :

=[tex]C^{6} _{2}[/tex]*[tex]C^{8} _{3}[/tex]

=15 * 56 = 840

Answer:

28.4 miles less

Step-by-step explanation:

1. Find the length of the third side of the triangle with the pythagoream theroum

2. Pythagorean theroum= a^2+b^2=c^2

3. 45^2+ 55^2=c^2

4. 2025+3025=c^2

5. 5050=c^2

6. 71.06=c

7. Instead of driving 100 miles to work, Evelyn will now drive only 71.06 miles to work

7. That is 28.4 miles less than before

Answer:30 miles you save 30 miles

Step-by-step explanation: if you go around its 48+55=103 miles

Do formula a^2+ b^2= c^2

48^2+ 55^2=c^2

2304+3025= c^2

5329=c ^2

Sq rt of 5329 is 73

103-73=30

Answer:

2/7

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts. That way they go infinity without touching so are perfectly parallel

Answer: 30

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:B

Step-by-step explanation: