A cube has a height of 7 cm. What is the volume of the cube?

Answer: 309 + n= k * 173 -232

Step-by-step explanation:

Translated:

309 + n= k * 173 -232

541 + n= 173k

I don't exactly know the answer to this question, but here is my thinking progress

This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

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Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

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Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

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The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

The percentage of the games the club has won is P = 77.78 %

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the total number of games = 18

The number of games they lost = 4

So , the number of games they won = 14 games

Now , the percentage of games they won = ( 14 / 18 ) x 100

On simplifying the equation , we get

A = 0.7778 x 100

A = 77.78 %

Hence , the percentage is 77.78 %

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Answer:

n > 1

Step-by-step explanation:

To solve this inequality, we need to get the variable "n" alone. Follow PEMDAS to do so :

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

We can first distribute the -8 to -4 and n to get rid of the parenthesis.

((-8)-4 + (-8)n)

-32 + -8n < -40

Now add 32 to both sides.

-40 + 32 = -8

-8n < -8

Now divide -8 by both sides, don't forget to switch the inequality sign since you're dividing by a negative number.

n > 1

Answer:

Step-by-step explanation:

They are all Parallelogram. Properties of parallelogram: the opposite angles are equal. The consecutive or adjacent angles are supplementary (mean add together equal 180°).

7.     ∠E+110°=180°       ∠E=70°

8.     （3x+21)°=（2x+43)°

               3x+21=2x+43

                 x=22

          given ∠G=(2X+43)°, we got x=22 above

                    ∠G=(2*22+43)°=87°

9.      (2x+25)°+104°=180°

          (2x+25)°=180° - 104 °

                (2x+25)°=76°

                 2x+25=76

                           x=25.5

10.     (2x+20)°+(3x-85)°=180°

         2x+20+3x-85=180

                   5x=245

                      x=49

        given ∠A=(3X-85)°, we got x=49 above

                   ∠A=62°

Answer:

I'm assuming you mean a compression of factor 6

In that case, it will be h = 1/6x

a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72

b) We have drawn the graph.

c) The maximum number of machines that can be installed is 11.

d) The maximum profit is 2,500,000.

What is inequality?

An inequality is a mathematical statement that shows the relationship between two values where one value is either greater than or less than the other value. It is represented by symbols such as >, <, ≥, or ≤. For example, if x is a variable and we want to express that x is greater than 5, the inequality would be written as x > 5.

a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72

b) To graph the region, we can plot the lines that define the inequalities and shade the area that satisfies all of them.

c) Solving the system of inequalities graphically, we find the maximum number of machines that can be installed is 11 (6 small and 5 large).

d) To find the maximum profit, we need to substitute the number of machines into the profit equation. P = 250,000X + 300,000Y. Plugging in X = 6 and Y = 5, we find the maximum profit to be 2,500,000.

Hence,

a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72

b) We have drawn the graph.

c) The maximum number of machines that can be installed is 11.

d) The maximum profit is 2,500,000.

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Check the picture below.

The expression which represents the number of pieces of cargo is c/162.68 = x, where c is the weight of the cargo in pounds, and x is the number of pieces of cargo.

Given that the space shuttle carries c pounds of cargo, and each piece of cargo weighs 162.68 pounds. We have to determine which of the following expressions represents the number of pieces of cargo.

Let's assume that the number of pieces of cargo be x.

Therefore, the weight of x pieces of cargo will be 162.68x = weight of cargo. The expression which represents the number of pieces of cargo can be written as: c/162.68 = x

This is because the total weight of the cargo is c pounds, and we know that each piece weighs 162.68 pounds.

Therefore, to find the number of pieces, we can divide the total weight by the weight of each piece, which gives us the expression c/162.68 = x, where x is the number of pieces of cargo.

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The probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:

C(8,2) = 8!/(2!×(8-2)!) = 28

So there are 28 possible ways to choose a sample of 2 cameras.

Now, let's calculate the probability of each possible value of x:

When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 0 is:

P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:

C(4,1) × C(4,1) = 4×4 = 16

So the probability of x = 1 is:

P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)

= 16/28

= 0.571

When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 2 is:

P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

Therefore, the probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

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The factored form is (5x+2)(x-4).

What is factorization?

A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.

Here, we have

Given:  5 x squared minus 18 x minus 8

we have to find the factored form.

= 5x² - 18x - 8

= 5x² - 20x + 2x - 8

= 5x(x-4) + 2(x-4)

= (5x+2)(x-4)

Hence, the factored form is (5x+2)(x-4).

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Answer:

the 2nd one because it has to have a 90 degree angle

Hope this helps

Step-by-step explanation:

Answer:

triangle 3

Step-by-step explanation:

triangle 3 has two legs of 5 and 12 with a hypotenuse of 13 which makes it a Pythagorean triple.

Answer:

Step-by-step explanation:

Point C is the centroid.

Property of centroid: the medians are divided in 2:1 ratio from the vertices.

Answer:

SC = 14 units

Explanation:

Centroid of a triangle refers to the point where it's 3 median intersect. It's the centre point of the triangle.

the point of intersection divides all three median into two parts. the parts are in ratio 2 : 1. The part of the median starting from the vertex to the midpoint is 2/3rd of the median.

SD = 21

SC = 2/3 of 21

= 2/3 × 21

= 14

Answer:

-2

Step-by-step explanation:

3-11+6

-8+6

-2

Answer:

!

Step-by-step explanation:

Since no diagram attached there are two possible options.

Option 1

The quadrilateral is parallelogram.

In this case ∠A and ∠D sum up to 180°, therefore:

Option 2

The quadrilateral is isosceles trapezoid.

In this case ∠A is congruent with ∠D, therefore:

Answer:

115

Step-by-step explanation:

Commitment to goals can be promoted in through:

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain outcomes, are significant. Commitment helps you stick to your goals in both good and bad times, when obstacles arise. Commitment is influenced by two factors: importance and

Goal commitment is generally defined as an individual's determination to devote time and effort to achieving a goal.

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain.

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Using it's concept, considering the number of desired and total outcomes, it is found that the probabilities are given by:

a. 0.6 = 60%.

b. 0.4 = 40%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these numbers of outcomes are taken from previous trials.

Researching the problem on the internet, it is found that there is a total of 127 + 44 + 95 + 104 = 370 customers.

Item a:

127 + 95 = 222 customers prefer either baked potato or asparagus, hence the probability is given by:

p = 222/370 = 0.6 = 60%.

Item b:

44 + 104 = 148 customers prefer either steamed broccoli or sweet potato, hence the probability is given by:

p = 148/370 = 0.4 = 40%.

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The total number of complex roots in the function, f(x) = (x + 3)³ (2x - 1) (x + 5), is D. 3.

Complex roots are complex numbers with the imaginary roots of quadratic or polynomial functions, usually represented as α = a + ib, and β = c + id.

A cubic function is a mathematical expression, rule, or law defining the relationship between the independent and dependent variables of the function, y = ax³ + bx² + cx + d.

Where a, b, c, and d are constants, and a is not equal to zero or a polynomial function with the highest exponent equal to 3.

An example of a polynomial function is the cubic equation (with coefficients, variables, and constants, with the highest exponents raised to 3).

Thus, the function has D. 3 complex roots.

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The value of the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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

\(\sqrt[4]{a}^3\)

Consider an expression expressed as xⁿ

The expression can be expanded as

xⁿ = x * x * x .... in n places

Using the above as a guide, we have the following:

\(\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}\)

Apply the exponent rule of indices

\(\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14\)

Apply the power rule of indices

\(\sqrt[4]{a}^3 = a^\frac34\)

Hence, the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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The opportunity cost of mowing the lawn is The $15 he earns minus the enjoyment he would have received from watching the football game during that time.

Opportunity costs are the possible advantages that a person, investor, or company forgoes while deciding between two options. Opportunity costs are by definition invisible, making it simple to ignore them. Making smarter decisions requires an understanding of the possible opportunities lost when a company or person selects one investment over another.

Opportunity Cost =FO−CO where:

FO=Return on best-forgone option

CO=Return on the chosen option

​The formula for calculating an opportunity cost is simply the difference between the expected returns of each option.

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Answer:

the answer is C, here is an app or website that u could use for math :)

Answer:

Step-by-step explanation:

If there is a 68% chance of a blizzard tonight, then the probability of a blizzard is 0.68.

The odds in favor of an event happening are defined as the ratio of the probability of the event happening to the probability of the event not happening. In this case, the odds in favor of a blizzard are:

odds in favor of blizzard = P(blizzard) / P(no blizzard)

We can use the fact that the probabilities of all possible outcomes must add up to 1 to find the probability of no blizzard:

P(no blizzard) = 1 - P(blizzard) = 1 - 0.68 = 0.32

Therefore, the odds in favor of no blizzard are:

odds in favor of no blizzard = P(no blizzard) / P(blizzard) = 0.32 / 0.68

Simplifying the fraction by dividing both numerator and denominator by 0.32, we get:

odds in favor of no blizzard = 0.32 / 0.68 = 8/17

The odds in favor of no blizzard are 8:17, which is reduced as much as possible.

288 ounces of water are left in the water tank.

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots

Here, we have

Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.

1 gallon = 128 ounces, 2 gallon = 256 ounces

6 bottles × 16 ounces = 96 ounces

2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces

5 gallon = 5 × 128 = 640 ounces

= 640 - 352 = 288 ounces

Hence,  288 ounces of water are left in the water tank.

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Step-by-step explanation:

Answer:

Each hamburger patty weighs 1/4 pounds.