What is the height of the triangular base of the pyramid?
O 9 √ 2 in.
O 9 √ 3 in.
O 18 √ 2 in.
O 18 √ 3 in.

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

The equivalent expression to the expression (m-²n-3)-4 is  (m-²n- 7).

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression is (m -² n - 3) - 4. The expression will be solved as below,

E = (m -² n - 3) - 4

E = (m -² n - 3 - 4 )

E = (m -² n - 7

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Answer:

.

Step-by-step explanation:

Answer:

y=5x

y2-y1/x2-x1 = 10-5/2-1

Step-by-step explanation:

When the net is folded into the rectangular prism

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. Another name for it is a cuboid.

Applying science of vision to see technical details in the prism, seeing letter B on the top means that D will be on the bottom.

the side we face will be C while the bac will be A

on the other side, the left end not showing is E and this make up all the part of the prism

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a) The smallest number of tiles needed to make a square is 3.

b) The smallest number of tiles needed to make a square is 11.

a) To make a square using rectangular tiles that are 12 cm long and 4 cm wide, we need to find the side length of the square that is divisible by both 12 and 4. The smallest common multiple of 12 and 4 is 12, so a square with a side length of 12 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 12 cm ÷ 4 cm = 3.

Therefore, the smallest number of tiles needed to make a square is 3.

b) To make a square using rectangular tiles that are 11 cm long and 3 cm wide, we need to find the side length of the square that is divisible by both 11 and 3. The smallest common multiple of 11 and 3 is 33, so a square with a side length of 33 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 33 cm ÷ 3 cm = 11.

Therefore, the smallest number of tiles needed to make a square is 11.

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The solution that can be used to fill in location A is 45%.

In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.

To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.

In this case, the concentration of 45% is closer to location A than the concentration of 20%.

This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.

Therefore, the solution that can be used to fill in location A is 45%.

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Answer:

10 cups of berry juice

Step-by-step explanation:

5 cups of apple juice = 5a

2 cups of berry juice = 2b

together = 7 cups

5a + 2b = 35

or

7c = 35

c = 5

this means that 5(5a + 2b) = 35

distribute the 5 to get

25a + 10b = 35

25 cups of apple juice and 10 cups of berry juice are needed to get 35 cups of punch

Answer:

 0

Explanation:

Given expression:

\(\sf 6 - (1 \times 4) -2\)

Use BODMAS method:

brackets, order, division, multiplication, addition, subtraction

First simplify variables inside brackets

\(\sf 6 - (4) -2\)

Then simply use subtract integers

\(\sf 0\)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's get it done using Bodmas Rule ~

\(\qquad \sf  \dashrightarrow \: 6 - (1 \times 4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - (4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - ( 4 + 2)\)

\(\qquad \sf  \dashrightarrow \: 6 - 6\)

\(\qquad \sf  \dashrightarrow \: 0\)

We will get the end result 0, on simplification ~

Answer:

Explaining the concept:

We have been given a piecewise function, which means that this function is defined differently for different values

notice that in the function, at the end of each row, we have an 'if' statement

if the input value satisfies the if statement, the function of that respective row will be used

Finding the Values:

h(-5):

since the input value is unequal to -2, the first function will be used (because the if statement at the end of the first function is satisfied by the input value)

h(x) = -(x/4) - (2)      (since x ≠ -2)

replacing x with -5

h(-5) = -(-5/4) - 2

h(-5) = (5-8) / 4

h(-5) = -3/4

h(-2):

From the 2 if statements, we notice that this input value satisfies the second statement (x = -2)

Therefore, the second function will be used

h(x) = -1 (for x = -2)

h(-2) = -1

h(0):

This input values satisfies the first if statement.

Hence, the first function will be used

h(x) = (-x/4) - 2              (for x ≠ -2)

replacing x with 0

h(0) = (-0/4) - 2

h(0) = -2

Answer:

bear=8 elephant=8 ladybug=7 fox=4 ?=15

The sampling distribution of the difference between the two-sample means, X1 - X2, can be characterized by the following properties:

1. Expected value (mean):

  E(X1 - X2) = E(X1) - E(X2) = mu1 - mu2

  The expected value of the difference is equal to the difference of the means of the two populations.

2. Variance:

  V(X1 - X2) = V(X1) + V(X2)

  Since X1 and X2 are independent, the variance of their difference is equal to the sum of their individual variances.

(b) Given the information provided:

For X1:

Mean (mu1) = 29.8

Standard deviation (sigma1) = 4

For X2:

Mean (mu2) = 34.7

Standard deviation (sigma2) = 5

Sample size for X1 (n1) = 20

Sample size for X2 (n2) = 20

To find the sampling distribution of X1 - X2:

Expected value (mean):

E(X1 - X2) = mu1 - mu2 = 29.8 - 34.7 = -4.9

Variance:

V(X1 - X2) = V(X1) + V(X2) = (sigma1^2 / n1) + (sigma2^2 / n2)

          = (4^2 / 20) + (5^2 / 20)

          = 16/20 + 25/20

          = 41/20

          = 2.05

Therefore, the sampling distribution of X1 - X2 has an expected value (mean) of -4.9 and a variance of 2.05.

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Answer:

34

Step-by-step explanation:

This is somewhat hard to explain for me. I attached a picture/diagram to help.

They are congruent angles.

Angle N, inside the MNP triangle is 34. Which means the adjacent angle is 56.

The interior angles of a triangle add up to 180.

So to find angle M in triangle LNM, we can do 180 - 90 - 56.

Therefore the m<LMN = 34

Answer:

$30

Step-by-step explanation:

5 x 6 = 30

hope this helped :)

Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.

Answer:

9 − (3 x 2) ÷ 3 + 6 is the answer

Explanation:

To find the points, we need to give a value to x and calculate the value of y using the equation.

So, if x = 0, then y is equal to:

2y - 4x = 4

2y - 4(0) = 4

2y = 4

2y/2 = 4/2

y = 2

And if x = 1, y is equal to:

2y - 4x = 4

2y - 4(1) = 4

2y - 4 = 4

2y - 4 + 4 = 4 + 4

2y = 8

2y/2 = 8/2

y = 4

Answer:

Now, we have the points (0, 2) and (1, 4), so the graph of the line is:

There are 353925 committees of 10 persons that can be chosen with exactly 8 men.

From the question, we have the following parameters that can be used in our computation:

People = 15 men and 11 women

Committee = 10 persons (8 men)

The number of ways is then calculated as

Ways = Men * Women

So, we have

Ways = C(15, 8) * C(11, 2)

Evaluate the products

Ways = 353925

Hence, the number of committee is 353925

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If probability  each parent is heterozygous for both features, determine the likelihood that a child will only have cystic fibrosis or sickle-cell anaemia.

P(Sickle-cell Anemia)

= 0.25

P(Cystic Fibrosis)

= 0.25

P(Sickle-cell Anemia or Cystic Fibrosis) = P(Sickle-cell Anemia) + P(Cystic Fibrosis)

P(Sickle-cell Anemia or Cystic Fibrosis)

= 0.25 + 0.25

P(Sickle-cell Anemia or Cystic Fibrosis)

= 0.5

The likelihood that a child will have either cystic fibrosis or sickle-cell anaemia is 0.5 or 50%. This is because both parents are heterozygous for both features. This means that each parent has a 25% chance of passing on either one of the conditions to their child. The probability of having either one of the conditions is the sum of the individual probabilities, which is 0.25 + 0.25 = 0.5 or 50%.

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Yes, this is correct. The centripetal acceleration of an object undergoing uniform circular motion with tangential speed v and radius r can be described by the equation a_c = v^2/r.

The centripetal acceleration of an object undergoing uniform circular motion with tangential speed v and radius r can be calculated using the equation a_c = v^2/r.

The centripetal acceleration of an object undergoing uniform circular motion with tangential speed v and radius r can be described by the equation a_c = v^2/r. This equation shows that the acceleration of an object in uniform circular motion is proportional to the square of the velocity and inversely proportional to the radius of the circle. This equation is a result of Newton's second law, which states that the sum of the forces acting on an object is equal to the mass of the object multiplied by its acceleration. The centripetal acceleration is the acceleration of an object towards the center of the circle and is perpendicular to the direction of motion. In order to calculate the centripetal acceleration of an object, the velocity and radius of the circle must be known. The equation a_c = v^2/r can then be used to calculate the centripetal acceleration of the object.

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a.The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b.  the probability is 0.1399.

c. the quarterback can expect to throw about 2.27 passes before completing one.

d. the probability is 0.1865.

e. the probability is 0.7349.

The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.

a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:

P(X=k) = \((1-p)^{k-1}\)×p

where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.

The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:

P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰

= 0.56²×0.44

= 0.1399

Therefore, the probability is 0.1399.

c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:

E(X) = 1/p

where p is the probability of completion on each attempt.

In this case, p = 0.44, so the expected number of passes is:

E(X) = 1/0.44

= 2.27

Therefore, the quarterback can expect to throw about 2.27 passes before completing one.

d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:

P(X > 5) = 1 - P(X <= 5)

= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]

= 0.1865

Therefore, the probability is 0.1865.

e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:

P(X ≥ 4) = 1 - P(X < 4)

where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.

Using the binomial probability distribution table or calculator, we can find:

P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]

= 0.7349

Therefore, the probability is 0.7349.

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Sets of values that could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits are -

66%, 69%, 72%

63%, 65%, 67%

What is intensity?

In physics, the power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation.

The program recommends a pattern of constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern.

Let's call the starting intensity level "x".

Then the intensity levels for the first 3 visits are all equal to x, the intensity levels for the next 3 visits are increasing, and the intensity levels for the following 3 visits are decreasing.

To determine which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits, we need to follow the pattern.

If the intensity level for the first 3 visits is x, then the intensity levels for the next 3 visits are x plus some value y, and the intensity levels for the following 3 visits are x plus some value z, where y and z are positive.

If we assume that the initial intensity level x is some value between 60% and 70%, then we can eliminate the last option of 67%, 72%, and 77% because the initial intensity level is too high.

Now let's check the remaining options -

63%, 63%, 63%: This set of values corresponds to a pattern of constant intensity for all 9 visits, which is not consistent with the program's recommendation.

Therefore, this option is not valid.

66%, 69%, 72%: This set of values corresponds to a pattern of increasing intensity over 3 visits, which is consistent with the program's recommendation.

Therefore, this option is valid.

66%, 62%, 58%: This set of values corresponds to a pattern of decreasing intensity over 3 visits, which is not consistent with the program's recommendation.

Therefore, this option is not valid.

63%, 65%, 67%: This set of values corresponds to a pattern of increasing intensity followed by decreasing intensity, which is consistent with the program's recommendation.

Therefore, this option is valid.

Therefore, there are only two valid options -

66%, 69%, 72%

63%, 65%, 67%

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A parallelogram has opposite and congruent sides

Given that:

\(Base = 10\)

The height of the parallelogram

The attached diagram does not show the full picture of the parallelogram; however the parallelogram's height is independent of its base.

So, we can conclude that 5 units is a reasonable estimate

The area

The area of a parallelogram is:

\(Area = Base \times Height\)

So, we have:

\(Area = 10 \times 5\)

\(Area = 50\)

Hence, the area of the parallelogram is 50 square units.

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The algebraic expression that represents the given word problem is:

m + $26.50 = $40

Algebraic word problems are defined as the questions that require us translating sentences into equations, and then solving those equations. The equations we need to write will only involve. basic arithmetic operations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.

In this problem, we are told that

Goal is to collect $40 for a school fund raiser

Amount already collected is $26.50

Amount left to collect is m.

Thus, the algebraic expression that is represented is:

m + $26.50 = $40

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The amount of quilt that they will both complete together= 37×10. That is option C.

The total amount of quilt made by Elle = 33×10

The total amount of quilt made by Scarlett= 41×10

To determine the total amount of quilt made by both individual, add the number of quilt achieved by each.

33×10 + 4×10 = 37×10

Therefore, the amount of quilt that they will both complete together= 37×10.

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a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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there are numbers 2 and 9