The volume of a square pyramid is 15 cubic centimeters. If the height of the pyramid is 5 cm, what is the length of the base edge?

same as V = pi*3^2*14

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Work Shown:

V = volume of cylinder

V = (area of circular base)*(height)

V = (pi*r^2)*(h)

V = pi*r^2*h

V = pi*3^2*14 ..... radius 3 is half of diameter 6

We write "3^2" as a shorthand way of saying "3 squared" or "(3) squared".

Answer: The length is 9.

Step-by-step explanation: 27/3=9

Answer: A. 724

Step-by-step explanation:

Answer: This is an easy one, its either 21, 21 and a half, or 22, if not than its at least in the 20s.

Step-by-step explanation:

9514 1404 393

Answer:

  C.  15

Step-by-step explanation:

The distance formula can be used for this.

  d = √((x2 -x1)² +(y2 -y1)²) = √((12 -0)² +(1 -10)²) = √(144 +81) = √225

  d = 15

The distance between the points is 15 units.

_____

Alternate solution

You may recognize that the slope of the line is -3/4, suggesting that this is some multiple of a 3-4-5 right triangle. That multiple is 9/3 = 12/4 = 3, so the hypotenuse of the triangle is 5×3 = 15 units.

Final answer:

The distance between the points (0,10) and (12,1) is 15 units.

Explanation:

The distance between the points (0,10) and (12,1) can be found using the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the given coordinates, the calculation becomes:

d = sqrt((12 - 0)^2 + (1 - 10)^2)

d = sqrt(12^2 + (-9)^2)

d = sqrt(144 + 81)

d = sqrt(225)

d = 15

Therefore, the distance between the two points is 15 units.

Answer:

54pie cm2 is the correct answer                                              

Final answer:

The volume of the larger cylinder is 36 cm².

Explanation:

To find the volume of the larger cylinder, we need to compare the surface areas of the two cylinders. Let's assume that the surface area and volume of the smaller cylinder are represented by SA1 and V1 respectively, and the surface area and volume of the larger cylinder are represented by SA2 and V2 respectively.

Since the cylinders are similar, their surface areas and volumes are proportional. Therefore, we can set up the following ratio: SA1 / SA2 = V1 / V2. Plugging in the given values, we get: 24 / 54 = 16 / V2. Solving for V2, we find that the volume of the larger cylinder is 36 cm².

Please consider the graph.

We have been given that graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic.  We are asked to choose the weights, which are within 2 standard deviations of the mean.

We can see from our graph that mean of the weights is 9.5 and standard deviation in 0.5.

The data point that would be below two standard deviation is: [tex]9.5-2\times 0.5[/tex] that is [tex]9.5-1=8.5[/tex].

The data point that would be above two standard deviation is: [tex]9.5+2\times 0.5[/tex] that is [tex]9.5+1=10.5[/tex].

Now we need to check the data points that lie within 8.5 and 10.5.

Upon looking at our given choices, we can see that 8.9, 9.5 and 10.4 pounds lie within 2 standard deviation of the mean.

Therefore, 8.9 lbs, 9.5 lbs and 10.4 lbs are correct choices.

Answer:

8.9, 9.5, 10.4

Step-by-step explanation:

got it right on ed2020

Final answer:

The probability that the first officer chosen is a girl and the second is a boy is 1/4.

Explanation:

To find the probability that the first officer chosen is a girl and the second is a boy, we can use the concept of dependent events.

When the first officer is chosen, there will be 6 girls left out of a total of 9 officers.

Therefore, the probability of selecting a girl as the first officer is 6/9.

After the first officer is chosen, there will be 3 boys left out of 8 officers. So, the probability of selecting a boy as the second officer is 3/8.

Since the events are dependent, we can multiply the probabilities of each event to get the probability of both events happening.

So, the probability of the first officer being a girl and the second officer being a boy is (6/9) * (3/8) = 1/4, which can also be written as 0.25 or 25%.

Final answer:

Michael is drawing cards from a deck with replacement. Since all aces are equally likely to be drawn, we can divide the total number of aces drawn by the number of different aces to estimate that the ace of hearts would likely be drawn 78 times out of the 312 instances of drawing an ace.

Explanation:

When Michael draws an ace from a standard deck of 52 cards, there are 4 aces available (one from each suit: clubs, diamonds, hearts, and spades). If Michael is drawing a card, recording it, and returning it to the deck (which means each draw is an independent event with replacement), the probability of drawing any specific ace, such as the ace of hearts, is the same for each draw.

Since Michael draws an ace 312 times and there are 4 equally likely aces he could draw, we can estimate the number of times he would draw the ace of hearts by dividing the total number of aces drawn by the number of different aces:

Number of times drawing the ace of hearts = Total number of aces drawn ÷ Number of different aces = 312 ÷ 4 = 78.

Therefore, a good estimate for the number of times the ace of hearts was drawn is 78 times.

Answer:

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Step-by-step explanation:

The height of the ball after t seconds is given by the following equation:

[tex]h(t) = -2t^{2} + 10t[/tex]

What is the height of the ball at the time it is kicked?

The ball is kicked at t = 0.

So we have to find h(0)

[tex]h(0) = -2*0^{2} + 10*0 = 0[/tex]

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Answer:

D. y=25

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

You have to substitute x = 5 into the equation of y :

[tex]y = 5x[/tex]

Let x = 5,

[tex]y = 5(5)[/tex]

[tex]y = 25[/tex]

Answer: the answer is 13

Step-by-step explanation:

Mean means to find the average so add them all and divide by 4.

Answer:

21

Step-by-step explanation:

g(6)=3(6)+3

g(6)=18+3

g(6)=21

The value of g(6) is 12.

Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

Given:

g(x) = 3x + 3

Now for x=3

g(3)= 3*3+3

=9+3

=12

Hence, the value of function is 12.

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Answer:

a=9 b=2 c=7 d=9

Step-by-step explanation:

Step-by-step explanation:

12x - 6

-12x - 6

-12x + 6

-12x2 + 6x

12x - 6

Option A and E are the correct answer

The only expression equivalent to 12x - 6 is 6(2x-1). Hence first option is correct.

The question asks which expressions are equivalent to 12x - 6. Let's evaluate each given option:

6(2x-1): Distributing the 6 gives 12x - 6, which is equivalent to the original expression.

-6(2x+1): Distributing the -6 gives -12x - 6, which is not equivalent to the original expression.

-6(2x-1): Distributing the -6 gives -12x + 6, which is not equivalent to the original expression.

-6x(2x-1): This expression cannot be simplified to the form of a single term in x and a constant; thus, it's not equivalent.

6x(2-1): Simplifying inside the parentheses first gives 6x, which is not equivalent to the original expression.

Therefore, the only expression equivalent to 12x - 6 is 6(2x-1).

Answer:

x = -7

Step-by-step explanation:

Simplifying

5x + 130 = 8x + 151

Reorder the terms:

130 + 5x = 8x + 151

Reorder the terms:

130 + 5x = 151 + 8x

Solving

130 + 5x = 151 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

130 + 5x + -8x = 151 + 8x + -8x

Combine like terms: 5x + -8x = -3x

130 + -3x = 151 + 8x + -8x

Combine like terms: 8x + -8x = 0

130 + -3x = 151 + 0

130 + -3x = 151

Add '-130' to each side of the equation.

130 + -130 + -3x = 151 + -130

Combine like terms: 130 + -130 = 0

0 + -3x = 151 + -130

-3x = 151 + -130

Combine like terms: 151 + -130 = 21

-3x = 21

Divide each side by '-3'.

x = -7

Simplifying

x = -7

Answer:

(x+3)(x+3)

Step-by-step explanation:

1) this polynomial is in the form of ax^2+bx+c

c=9

b=6

a=1

what*what=c(9)

and what+what=b(6)

3 is the answer to both questions:

now substitute "3x" in place of "6"

x^2+3x+3x+9

split in 2 groups:

group a) (x^2+3x)

gcf of group a=x

x(x+3)

group b) (3x+9)

gcf of group b=3

3(x+3)

combine the numbers OUTSIDE the parantheses

so

(x+3)(x+3)

Answer:

(x+3)(x+3)

Step-by-step explanation:

Answer:

a) 59.87%

Step-by-step explanation:

Given that the mean temperature (μ) = 23.5°C and the standard deviation (σ) is 2 °C.

The z score is used in statistics to measure number of standard deviation by which the raw score is above or below the mean value, It is calculated using the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

The average temperature of the City of Van Nuys is 23 degrees. The z score is

[tex]z=\frac{x-\mu}{\sigma}=\frac{23-23,5}{2} =-0.25[/tex]

P(x > 23) = P(z > -0.25) = 1 - P(z < -0.25) = 1 - 0.4013 = 0.5987 = 59.87%

Answer:

height = 6 cm

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )

Here V = 100.48 and r = 4, thus

[tex]\frac{1}{3}[/tex]π × 4²h = 100.48

Multiply both sides by 3 to clear the fraction

3.14 × 16h = 301.44 ( divide both sides by 3.14 × 16 )

h = [tex]\frac{301,44}{3.14(16)}[/tex] = 6 cm

Answer:

the answer is 8 units so that all i have to say.

The radius of a circle whose equation is (x + 5)^2 + (y - 3)^2 = 4^2 is mathematically given as

r=4 units, Option B is correct

Question Parameters:

a circle whose equation is (x + 5)^2 + (y - 3)^2 = 4^2

Generally, the equation for the circle    is mathematically given as

(x + 5)^2 + (y - 3)^2 = 4^2

Therefore, its standard form of a circle equation is

(x-h)^2+(y-k)^2=r^2

In conclusion, Comparing both equations

r^2=4^2

r=4

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Answer:

Step-by-step explanation:

DE = LK        {given that  length of DE & LK are equal}

EF = JK          {given that length of EF & JK are 8 cm}

DF = LJ        { given}

ΔDEF ≅ ΔLKJ   by   SSS congruent  

Answer:

Pediatricians use numbers to calculate the patient's growth, they also use numbers to calculate the amount of liquid in a given shot or vaccine. Children's weight and height are measured in kilograms and centimeters. They also use math to change kilograms to pounds and centimeters to inches.

Step-by-step explanation:

Answer:

Conversions

Medications are prescribed using the metric system and Apothecary's Measure. The former uses grams and milliliters, while the latter is a medieval system using grains, scruples, drams, minims, fluid drams, fluid ounces, pints, quarts and gallons. Because the United States doesn't use the metric system, pediatricians must convert between these systems. Strong algebra skills are crucial, as mistakes in prescriptions can have catastrophic results.

Fractions

Much of a pediatrician's work involves taking accurate measurements. When measuring a patient's heart rate, pediatricians must know to divide the number of heart beats by the amount of time passed. They must know how to interpret blood pressure measurements, which are expressed as fractions. They may have to explain to a patient that body mass index, an important measure of health, is equal to his weight divided by his height squared. Equations

Specialists in pediatrics may require knowledge of more advanced mathematical concepts. Research pediatricians use math to analyze data for useful results. Those who work with complex internal systems, such as the cardiovascular system, use advanced equations and formulas to check on the status of organs. Pediatricians must also be able to communicate mathematical results to patients in language that is easily understood.

Other

Pediatricians regularly check the growth and development of patients. They develop growth charts, measure children's height and weight, and assess their overall development over time. They also use math to calculate how much medicine to administer in shots, measured in cubic centimeters or milliliters.

Answer:

The two features present in a plant cell, but not in an animal cell are chloroplasts and a large central vacuole.

Step-by-step explanation:

The two features which are structures found in plant cells but are not present in animal cells are:

There are features that differentiates a plant cell from an animal cell. Two of such features that are unique to plant cells are:

These two plant cell features or structures are absent in an animal cell.

A plant cell and its various organelles/structure is shown in the image attached below.

Therefore, the two features which are structures found in plant cells but are not present in animal cells are:

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Answer:

no

Step-by-step explanation:

50 = 6c

Substitute the value in for c and see if the equation is true

50 = 6*4

50 = 24

This is not true so c=4 is not a solution

Answer: 8 and 1/3

Step-by-step explanation:

6 times 8 equal 48

6 times 1/3 equal 2

48 plus 2 equal 50

Answer:

The volume of the box is [tex]8000 in^3[/tex]

Step-by-step explanation:

Since the box is shaped like a cube, the volume of the box is:

[tex]V = L^3[/tex]

where l = length of side of the box

The box is 20 inches long on each side, that means that L = 20 in.

Hence, the volume of the box will be:

[tex]V = 20^3 = 8000 in^3[/tex]

The volume of the box is [tex]8000 in^3[/tex].

To find the volume of a cube-shaped box with sides of 20 inches, you multiply the side lengths together, resulting in a volume of 800TatExplan0 cubic inches.

The question is asking for the volume of a cube-shaped box. To calculate the volume of a cube, we use the formula V = a^3, where 'a' is the length of one side of the cube. In this case, each side of the box is 20 inches long. Therefore, the volume of the box is:

V = 20 inches × 20 inches × 20 inches = 8000 cubic inches.

Answer:

This shows us that there are 1400 readers.

Step-by-step explanation:

To work this out you would first need to find how many times 5% goes into 100%, You can do this by dividing 100 by 5, this gives you 20. This is because the whole amount  is equivalent to 100%.

To work out the total number of readers you would multiply 70 by 20, this gives you 1400. This is because we know that 70 is equivalent to 5% and that 5% goes into 100% 20. So by multiplying 70 by 20 we are working out the total (100%), and that this shows us there are 1400 readers.

1) Divide 100 by 5.

[tex]100/5=20[/tex]

2) Multiply 70 by 20.

[tex]70*20=1400[/tex]

Answer: 72 US FLUID OUNCES

Answer:

The answer is B i think

Hope this helps :D

¯\_(ツ)_/¯                                   ☜(ﾟヮﾟ☜)

Final answer:

The student's question appears to involve a play on words or a riddle, but using standard mathematics, the fourth of twenty is calculated by dividing twenty by four, which equals five.

Explanation:

The question appears to be a puzzle rather than a straightforward mathematical problem. Given the statement that 'five times four is thirty-three' is not mathematically correct (since 5 × 4 = 20), it suggests that there's an error or play on words. The most likely solution for 'what will the fourth of twenty be?' using standard mathematics is 5, because normally one would divide twenty by four to get this result. However, if we are following the same logical pattern as in the incorrect statement 'five times four is thirty-three', we might question whether 'the fourth of twenty' should similarly be an unconventional result. Without more context, we stick with the conventional approach.

Answer:

-2 is the answer

Step-by-step explanation:

the x-axis is the horizontal line, while the y-axis is the vertical line. and the point is -2

Answer:

-2

Step-by-step explanation:

The y-intercept is where the line crosses the y axis.