What is the volume of the resulting solid

Answer:

a = 97° (corresponding angle with marked 97°)

c = 59° (corresponding angle with marked 59°)

b = 180° - 97° = 83° (linear pair)

d = 180° - 59° (c) = 121° (linear pair)

____________

Hope it helps ⚜

Answer:

angle a = 97º

angle b = 83º (97º*2 = 194, 360 - 194 = 166, 166/2 = 83º)

angle c = 59º

angle d = 121º (59º*2 = 118, 360 - 118 = 242, 242/2 = 121º)

no need to pay me ahahaha

Answer:

4x25/100=1

Step-by-step explanation:

How I came up with it

4÷100=25

25÷25=1

Julie will only get a 1% discount

Hope it helps

Answer:

-415

Step-by-step explanation:

because first of all the sentence said it DOVE UNDER meaning it was under sea level so its basically negative then add the two numbers and turn it to negative.

Answer:

211 with a remainder of 6

Step-by-step explanation:                  

           Division                             Multiplcation Check

               211                                                 211

       ____________                                  x23

23           4,859                             _________________

              -46                                                 633

_____________________                      x4,220

                  25                              __________________        

                 -23                                            4,853

_____________________                           +6

                     29                           ____________________

                    -23                                         4,859

_____________________

                       6

Answer:

Option (c) "\(r=\dfrac{q}{4c}-h\)"

Step-by-step explanation:

The given equation is :

q = c4(h + r)

We need to solve it for r.

Dividing both sides of the given equation by 4c.

\(\dfrac{q}{4c}=\dfrac{4c}{4c}(h+r)\\\\(h+r)=\dfrac{q}{4c}\)

Now, subtract h both sides of the equation.

\(h+r-h=\dfrac{q}{4c}-h\\\\r=\dfrac{q}{4c}-h\)

Hence, this is the required solution.

Step-by-step explanation:

Since the above sequence is a geometric sequence

For an nth term in a geometric sequence

That's

\(A(n) = a( {r})^{n - 1} \)

where

r is the common ratio

a is the first term

n is the number of terms

From the question

a = 4.05

r = 1.35 / 4.05 = 0.33

Substitute the values into the above formula

We have

\(A(n) = 4.05( {0.33})^{n - 1} \)

Hope this helps you

The binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

Given: Roll an 8-sided die 10 times and to find the probability of getting exactly 3 sevens in those 10 rolls.

Formula: The probability of getting exactly "k" successes in "n" trials of an event with a probability "p" of success in a single trial is given by the binomial probability formula:

P(k successes in n trials) = \(C(n , k) * p^k * (1 - p)^{(n - k)}\)

where:

Step1

Calculate the probability of rolling a seven on an 8-sided die (p).

Since there is 1 "success" outcome (rolling a seven) out of 8 possible outcomes (8-sided die),

p = 1/8.

Step 2

Plug the values into the binomial probability formula for getting exactly 3 sevens in 10 rolls:

P(3 sevens in 10 rolls) = \(C(10, 3) * (1/8)^3 * (1 - 1/8)^{(10 - 3)}\)

On subtracting gives:

=C(10,  3) * (1/8)^3 * (7/8)^{7}

Plugging the value of C(10,3) = 120 in the above equation:

= 120 * (1/8)^3 * (7/8)^{7}

Step 3:

Calculate the final answer using the formula:

P(3 sevens in 10 rolls) = 120 * (1/512) * (343/512)

≈ 0.0142

Therefore, the binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

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Answer:

7 > 24/4

Step-by-step explanation:

7 _ 24/4

Simplify 24/4

24/4 = 6

7 is greater than 6

7 > 24/4

7 is greater than the fraction 24/4 so we use the ">" symbol between them. Hence, the complete equation is 7 > 24/4.

Comparison of two numbers involves determining the relationship between them. Here are a few possible outcomes when comparing two numbers:

1: If the first number is greater than the second number, we can say that the first number is "greater than" or "larger than" the second number.

2: If the first number is less than the second number, we can say that the first number is "smaller than" or "less than" the second number.

3: If the first number is equal to the second number, we can say that the numbers are "equal" to each other.

The given numbers are:

7 and 24/4

To compare these numbers,

Convert the fraction 24/4 into the simplest form

Therefore,

\(\frac{24}{4} = 6\)

Now since 7 is greater than 6 so we use ">" between them.

Hence,

The complete equation will be 7 > 24/4.

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Answer:

30

Step-by-step explanation:3 flavors and 5 toppings multiplied is 15, and whip or no whip is a extra 2 choices so 15x2=30

Answer:

let's say you have 3 flavors

- chocolate

- vanilla

- strawberry

lets say you have 5 toppings

- nuts

- carmel

- chocolate chips

- strawberries

- sprinkles

now you have the choice of having whip cream or no whip cream.

so what you do is start with the flavor vholctae go to the topping nuts then whip cream. now do the same thing but with no whip cream.

do the same with each flavor and at the end you have 20 combinations.

Answer:

the first one you have is a negative and 5-5-5-5-5

then same for other but oppoiste

Step-by-step explanation:

Answer:

b < 10

Step-by-step explanation:

-b - 2 > 8

Add 2 to both sides.

-b > 10

Divide both sides by -1. When dividing by a negative, flip the inequality sign.

b < 10.

Lady Gaga is expected to sing about 10 songs

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that Madonna sang a total of 11 songs for a population of 120000 people, the per capita is the ratio of the total songs sang to the total number of people.

Hence:

Madonna per capita = songs performed / population = 11 / 120000

Lady Gaga sang to a population of 109,000 people, therefore:

Lady Gaga per capita = songs performed / population

11 / 120000  = songs performed / 109,000

songs performed = 11/120000  × 109,000

= 9.91

songs performed ≈ 10 songs

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The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

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Only the statement OP = OM-9 is equivalent to (p = 0) because it has the same truth values for all possible combinations of p, q, and r.

To determine which of the given statements is equivalent to (p = 0), we can construct a truth table to evaluate the truth values of each statement for all possible truth value combinations of p, q, and r.

Let's construct the truth table:

p | q | r | (p = 0) | OP = OM-9 | OP VP Aqr | Op = n(q=n) O = n(q=r)

--------------------------------------------------------------

0 | 0 | 0 |   T     |     F     |     T      |     T

0 | 0 | 1 |   T     |     F     |     T      |     T

0 | 1 | 0 |   T     |     F     |     T      |     T

0 | 1 | 1 |   T     |     F     |     T      |     T

1 | 0 | 0 |   F     |     F     |     F      |     F

1 | 0 | 1 |   F     |     F     |     F      |     F

1 | 1 | 0 |   F     |     F     |     F      |     F

1 | 1 | 1 |   F     |     F     |     F      |     F

From the truth table, we can see that the statement (p = 0) is true when p is false (0) and false when p is true (1).

Out of the given statements, only the statement OP = OM-9 is equivalent to (p = 0) because it has the same truth values for all possible combinations of p, q, and r.

Therefore, the correct answer is OP = OM-9.

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Note the complete questions is Use a truth table to determine which of the following statements is equivalent to (p = 0) Select the correct answer below:  Op = OM-9 =) OP VP Aqr) Op = n(q=n) O = n(q=r)? Answer in 200 words

The number of days took to get the video of Felipe 1024 views is 4.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,

v = 4^(1.25d)

We have to find d when v = 1024

1024 = 4^(1.25d)

We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ

1024 = \((4^{1.25} )^d\)

1024 = (5.6569)^d

Taking logarithms on both sides,

㏒ (1024) = ㏒ [(5.6569)^d]

We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)

㏒ (1024) = d ㏒ (5.6569)

d = ㏒ (1024) / ㏒ (5.6569)

d = 4

Hence it took 4 days to for Felipe's video to get 1024 views.

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The required median of the given data set is 7 2/3. Option B is correct.

As the data set was given in the form of the number line, it became easy to calculate the mean,
From the observation the numbers in the data set can be estimated by counting the number of 'x', which is n =12,
The median is given as,
median = "n/2"th term + "n/2+1" th term / 2

median = 6th term + 7th term / 2

From the data set, proceed with counting x from the left until we reach to the 6th and 7th x where we found the value of 6th and 7th x are the same as 7 2/3, now put this value in the above expression.

Median = [7 2/3 + 7 2/3]  /2
Median = 7 2/3

Thus, the required median of the given data set is 7 2/3. Option B is correct.

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Answer:

1/2 cup oil, 1/3 teaspoon vanilla extract, 3/4 cup sprinkles

Step-by-step explanation:

2 is 2/3 of 3. Thus, multiply all the values given by 2/3.

3/4 * 2/3 = 1/2 cup oil

1/2 * 2/3 = 1/3 teaspoon vanilla extract

9/8 * 2/3 = 3/4 cup sprinkles

I hope this helps!

One inequality involving multiplication with a negative coefficient that has the solution of x ≤ 4 is:

-3x ≥ -12

Dividing both sides by -3, we get:

x ≤ 4

Another inequality involving division with a negative coefficient that has the solution of x ≤ 4 is:

x / (-2) > -2

Multiplying both sides by -2 (and reversing the inequality because we are multiplying by a negative number), we get:

x < 4

Therefore, both of these inequalities have the solution of x ≤ 4.

Hello!

For this you would just need to multiple straight across. Here's how you would set it up:

3/4 ·1/8

Then you would multiple 3 x 1 = 3

And 4 x 8 =32

Your answer should be 3/32, it cannot be simplified so that is the final answer :).

Answer:

  7. P(q) = 60 -0.03(x -80)²

  8. P(q) = -0.03x² +4.8x -132

  9. q = 35 balloons

  10. see attached

Step-by-step explanation:

You want the profit equation, break-even sales, and a graph for a party supply company that makes a maximum profit of $60 when they sell 80 balloons, and a profit of $33 when they sell 50 balloons.

If the profit is described by a quadratic equation with a maximum at (quantity, dollars) = (80, 60), and a point on the curve of (50, 33), we can write the equation in two steps.

The vertex-form equation will look like ...

  P(q) = 60 -a(q -80)² . . . . . for some scale factor 'a'

We want P(50) = 33, so we have ...

  P(50) = 33 = 60 -a(50 -80)²

  33 = 60 -900a

  a = (60 -33)/900 = 3/100 = 0.03

The profit equation is ...

  P(q) = 60 -0.03(q -80)²

Expanding the equation gives ...

  P(q) = 60 -0.03(q² -160q +6400)

  P(q) = -0.03q² +4.8q -132

The profit is zero at ...

  P(q) = 0 = 60 -0.03(q -80)²

  0.03(q -80)² = 60

  (q -80)² = 2000 . . . . . . . . divide by 0.03

  q = 80 ±20√5 = 35.3 or 124.7 . . . . . take the square root, add 80

The store will no longer make a profit when sales drops to 35 balloons.

The attachment shows a graph of the profit function.

__

Additional comment

You can find where the profit goes to zero using the graph, the quadratic formula, or by solving it using vertex form, as above. The graph is quick and easy; using the vertex form equation works nicely.

Selling 36 balloons will result in a profit of $1.92.

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819 in base five is equal to 13134.

Base five is a positional numeral system used in mathematics, having 5 as its base or radix. This means that it represents any real number using five different symbols, often the digits 0, 1, 2, 3, and 4. The ones place is represented by the digit on the right, the place of the five by the digit to the left, the twenty-fives place by the digit after that, and so on. Each digit in base five represents a multiple of a power of five.

To write 819 in base five:

Repeat steps 1-3 with the remainder (194):

Repeat steps 1-3 with the remainder (69):

Repeat steps 1-3 with the remainder (19):

The remainder (4) is less than 5, so write it down in the 5^0 place (rightmost digit).

Combine all the digits: 13134.

Therefore, 819 in base five is equal to 13134.

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Answer:

B. x is less than or equal to 5

Step-by-step explanation:

The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to

In this case it is less than or equal to because the line goes to the left

Hope this helped!

Answer:

1/16 D

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

Multiply top with top and bottom with bottom

1/8 * 3/6 = (1*3)/(8*6) = 3/48

3 goes into 48

16 times

The answer is 1/16

The correct answer is 1/16 even though 3/48 is also correct. The question directions you to simplify.

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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Answer:

Jane is 4years old......

Answer:

9.29

Step-by-step explanation:

S₄ is the area using Simpson's rule and 4 intervals.

Simpson's rule can be calculated as:

Sᵢ = Δx/3 (f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + ... + 4f(xᵢ₋₂) + 2f(xᵢ₋₁) + f(xᵢ))

Or, Simpson's rule can be calculated as a combination of midpoint and trapezoid sums:

S₂ᵢ = (2Mᵢ + Tᵢ) / 3

Using the first method:

Δx = (4−0)/4 = 1

S₄ = 1/3 (1.00 + 4(1.41) + 2(2.24) + 4(3.16) + 4.12)

S₄ = 1/3 (27.88)

S₄ ≈ 9.29

Using the second method:

S₄ = (2M₂ + T₂) / 3

The midpoint area for 2 intervals is:

M₂ = (2) (1.41) + (2) (3.16) = 9.14

The trapezoid area for 2 intervals is:

T₂ = ½ (1.00 + 2.24) (2) + ½ (2.24 + 4.12) (2) = 9.60

Therefore:

S₄ = (2 (9.14) + 9.60) / 3

S₄ ≈ 9.29

The constant that will be used in Digby's linear inequality will be 8.

What are linear inequalities, exactly?

Inequality is a mathematical statement that states that neither side is equal. When a link causes a non-equal comparison between two expressions, an inequality develops. The inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), replace the equal sign "=" in the sentence. In mathematics, inequalities are classified into three types: polynomial inequalities, rational inequalities, and absolute value inequalities.

The characters '<' and '>' denote severe inequalities, whereas " ≤ and ≥ " denote slack inequalities.

Now,

Given that The temperature during a winter day was less than 8 degrees Fahrenheit.

let x be the temperature in degree Fahrenheit

then the linear inequality to show the statement will be

x<8 where 8 is a constant

Hence,

          The constant that will be used in Digby's linear inequality will be 8.

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Answer:

The awnser is 8.

Step-by-step explanation:

i just know<33