-3 ≤ 6 Add 8 to both sides

The volume of a right circular cone which has a height of 11.9 ft and a base with a radius of 16.3 ft as required is;

As evident in the task content; the volume of a right circular cone a height of 11.9 ft and a base with a radius of 16.3 ft is to be determined.

Recall, the volume of the cone is;

V = (1/3) × πr²h

V = (1/3) × π × 16.3² × 11.9

V = 3310.9 ft³.

Ultimately, the volume of the right circular cone is; 3310.9 ft³.

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Answer:

3310.9

Step-by-step explanation:

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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Answer:

see explanation

Step-by-step explanation:

(a)

the 2 angles are same- side interior angles and are supplementary.

(c)

since they are supplementary , they sum to 180° , that is

6x + 14 + 10x - 10 = 180

16x + 4 = 180 ( subtract 4 from both sides )

16x = 176 ( divide both sides by 16 )

x = 11

(d)

then

6x + 14 = 6(11) + 14 = 66 + 14 = 80

10x - 10 = 10(11) - 10 = 110 - 10 = 100

note 80 + 100 = 180 ( supplementary angles )

After subtracting the given two distances, It can be obtained that the mall is five and a half kilometers further than the grocery store from the house.

If there are three points \(A, B, C\) and the distance between \(A\) and \(B\) is \(d_1\)  and the distance between \(A\) and \(C\) is \(d_2\). Also, \(d_2 > d_1\). Then the distance between \(B\) and \(C\) can be obtained by subtraction \(d=d_2-d_1\).

Given that the distance from the house to the grocery store is five and one-quarter kilometers i.e., \(d_1=5.25\) km and the distance from the house to the mall is ten and three-quarter kilometers i.e., \(d_2=10.75\) km.

So, the distance from the grocery store to the mall is \(d=d_2-d_1=10.75-5.25=5.5\) km.

Therefore, after subtracting the given two distances, we can conclude that the mall is five and a half kilometers further than the grocery store from the house.

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Answer:

35 lbs is the final weight

Step-by-step explanation:

20 +23 = 43 lbs

Then they had to remove 8 lbs

43 - 8 =35

35 lbs is the final weight

Answer:

9

Step-by-step explanation:

5x-3= 2x+24

5x=2x+27

3x=27

X=9

Answer: A.  9

Step-by-step explanation:

The diagonal is bisected by the other diagonal.  So the 2 parts of the diagonal are equal

5x - 3 =  2x + 24                 >Bring like terms to 1 side

3x = 27                                >Divide both sides by 3

x = 9

The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.

The given function is of the form

f(x) = x^(7/9), this is equivalent to ⁹√x⁷

say f(x) = y, then

f(x) = y = x^(7/9)

y = x^(7/9)

solving for the inverse, of y = x^(7/9)

y = x^(7/9)

y^(9/7) = x

interchanging the letters

y = x^(9/7)

hence the inverse function is solved to be f⁻¹(x) = x^(9/7)

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Answer:

Me: 60

Zayn and Attia: 6

Step-by-step explanation:

12 = 2 × 2 × 3

20 = 2 × 2 × 5

LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60

My number is 60.

Zayn's and Attia's numbers are 6.

7 liter = 7000000 cubic millimeters

Answer:

1,2,4,7,14, or 28

Step-by-step explanation:

I got it right

Answer:

5 cm

Step-by-step explanation:

If B to C is about 8 cm then C to E is about half of that plus one because its half way to A and a little bit to the right.

Hope this helps!

Answer:

This distribution should be expected to be right skewed.

Step-by-step explanation:

Pearson skewness:

The skewness of a data set is given by the subtraction of the mean by the mode, divided by the standard deviation.

If the coefficient is positive, the distribution is right skewed.

If the coefficient is negative, the distribution is left skewed.

If the coefficient is sufficiently close to 0(+/- 0.05), the distribution is bell shaped.

In this question:

Mean 7.4, mode 4, standard deviation 11

(7.4-4)/11 = 3.4/11 = 0.31

Positive coefficient, so right skewed.

The probability mass function (PMF) for z, the number of ones at the channel output, can be expressed using the binomial distribution where p is the probability of transmitting a one and n is the total number of bits transmitted.

A probability mass function (PMF) is a function that assigns probabilities to each possible outcome in a discrete probability distribution. It describes the probability distribution of a discrete random variable, which takes on a finite or countably infinite number of possible values. The PMF is defined as the probability of each possible outcome, with the sum of all probabilities equal to 1. It is typically denoted as P(X = x), where X is the random variable and x is a possible value that it can take. The PMF is used to calculate various properties of the probability distribution, such as the expected value, variance, and higher moments.

The probability mass function (PMF) for z, the number of ones at the channel output, can be expressed using the binomial distribution formula:

\($p(z) = \binom{n}{z} p^z (1-p)^{n-z}$\)

where p is the probability of transmitting a one, n is the total number of bits transmitted, and \($\binom{n}{z}$\) is the binomial coefficient which counts the number of ways to choose z ones from n bits. The PMF specifies the probability of observing each possible value of z, ranging from 0 to n.

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Answer:

y=4x+3 + 2x+13  solve for y

Step-by-step explanation:

Transformations that preserve angle measure and segment lengths ​are:

• similarity

• translation

• rotation

• reflection

•

Based on the net present value profile, Project H has a higher NPV than Project E.

To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:

Project E:

Initial investment: -$100,000

Cash flows for Year 1: $40,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $60,000

Project H:

Initial investment: -$120,000

Cash flows for Year 1: $60,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $40,000

To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.

Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:

For Project E:

PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3

PV = $36,363.64 + $41,322.31 + $45,454.55

PV = $123,140.50

For Project H:

PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3

PV = $54,545.45 + $41,322.31 + $30,251.14

PV = $126,118.90

Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.

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This is the question.

At the start of the first down, the football was 25 yards from the Captains' end zone. During three downs, the ball moved 6 yards closer to their end zone, then 10 yards farther from it, and then 8 yards closer to it. How many yards from their end. zone was the ball at the end of the third down?

Answer: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: (5,1)

Equation Form: x=5,y=1

Answer:

(5,1)

Step-by-step explanation:

4x + 7•(x /4-1/4) = -13

   -9x/4 = -45/4

   -9x = -45

Solve equation for the variable  x

 9x = 45

  x = 5

By now we know this much :

x = 5

   y = x/4-1/4

Use the  x  value to solve for  y

   y = (/4)(5)-1/4 = 1

Answer:

Constant of proportionality k = 3.5

In our case, We can say that Amount of 1 quart is $3.5, and as the number of quarts bought are increased the amount paid is also increased at rate of $3.5.

Step-by-step explanation:

We need to find what is the constant of proportionality, and what does it mean in this situation?​

Constant of proportionality can be defined as:

\(if\:y\:\alpha \:x\:then\:y=kx\)

Where k is constant of proportionality

It tells that there is constant increase in the value of y.

Looking at the graph,

we get Number of Quarts (x) = 1, Amount Paid (y)= 3.5

so, finding constant of proportionality

\(y=kx\\3.5=k(1)\\k=3.5\)

Now, Number of Quarts (x) = 2, Amount Paid (y)=7

so, finding constant of proportionality

\(y=kx\\7=k(2)\\k=\frac{7}{2}\\k=3.5\)

So, for any value of x and y, the value of k remains constant i.e 3.5

So, constant of proportionality k = 3.5

In our case, We can say that Amount of 1 quart is $3.5, and as the number of quarts bought are increased the amount paid is also increased at rate of $3.5.

Their approximate heating expense would be $1,920. Hope this helps!

The approximate cost of heating expense for the year is $ 1920

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of expense for heating be = A

Now , the equation will be

The amount of heating oil used by Kranepool family = 431 gallons

Now , the cost per gallon of heating oil = $ 4.12

And , the percentage increase in the price of oil = 8.25 %

So , the new cost per gallon of heating oil be = P

The value of P is = cost per gallon of heating oil + 8.25% x cost per gallon of heating oil

Substituting the values in the equation , we get

The value of P is = 4.12 + ( 8.25/100 ) x 4.12

The value of P is = 4.12 + 0.3399

The value of P is = $ 4.4599

Now , the total cost of expense for heating = cost per gallon of heating oil x amount of heating oil used by Kranepool family

Substituting the values in the equation , we get

Total cost of expense for heating A = $ 4.4599 x 431

Total cost of expense for heating A = $ 1922.2169

Total cost of expense for heating A = $ 1922

Rounding to the nearest 10 dollar , we get = $ 1920

Therefore , the value of A is $ 1920

Hence , The approximate cost of heating expense for the year is $ 1920

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Answer:

Step-by-step explanation:

Given,

Base= 12 cm

Height= 5 cm

Formula to find area of triangle:

\( \frac{1}{2} \times base \times height\)

Now,

Area of triangle:

\( \frac{1}{2} \times 12 \times 5 \\ = \frac{1}{2} \times 60 \\ = 30 \: {cm}^{2} \)

Hope this helps...

Good luck on your assignment...

Answer:30 cm^2

Step-by-step explanation:

Answer:

-6 (sry if not right)

Step-by-step explanation

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

Answer:

2x

Step-by-step explanation:

5, 10, 20, 40, 80

each step is multiplying by 2, therefore the sequence is 2x

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

area = 153.86 in²

Step-by-step explanation:

Diameter = 14π / π = 14

radius = 1/2(14) = 7

area = π7² = 153.86 in²

Answer:

I cannot see the last choice, but the ones that I can see are all correct.

Step-by-step explanation: