3 cups of peanut mix 2 cups of raisins 4.5 cups of peanut mixed 3 cups of raisins are the ratios equivalent for two mixed

Answer:

\(916.11\:ft^{3}\)

Step-by-step explanation:

Volume of the hexagonal pyramid =  \(1/3\times (area\: of \: hexagonal\:base)\times height\)

Here sides of hexagonal base = 9 ft

So, Area of hexagon = \(6\times \frac{\sqrt{3} }{4} a^{2}\)

\(6\times \frac{\sqrt{3} }{4} \times 9 \times 9\)

\(= 210.5\)

Height is given, 13 ft

So, volume = \(1/3\times 210.5\times 13\)

\(= 916.11\: ft^{3}\)

OAmalOHopeO

The investment will be worth approximately $\(9,516.31\) at the end of \(3\) years. As investment is measured by using the compound interest formula.

Compound interest is a type of interest that is calculated on the initial principal amount and any accumulated interest from previous periods. In other words, compound interest means earning interest on interest.

Simple interest is a type of interest that is calculated only on the initial principal amount. In other words, simple interest does not take into account any interest earned or charged from previous periods.

According to the given information

To solve this problem, we can use the formula for compound interest:

\(A= P(1+\frac{r}{n} )^{nt}\)

where A is the amount of money at the end of the investment period, P is the principal amount (initial investment), r is the annual interest rate (as a decimal), n is the number of times per year that interest is compounded, and t is the number of years of the investment period.

In this case, we have:

P = $\(7,300\) (initial investment)

r = \(7\)% = \(0.07\) (annual interest rate, compounded quarterly)

n = \(4\) (number of times per year that interest is compounded)

t = \(3\) (number of years of the investment period)

Substituting these values into the formula, we get:

\(A = 7300(1+\frac{0.07}{4}) ^{4*3} \\= 7300(1.0175)^{12} \\\)

= $\(9,516.31\) (rounded to the nearest cent)

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Nikita's distance from her for the second part of the race was 1.5 kilometers.

Since Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand, and in the first part of the race, her average speed was 8.75 kilometers per hour, while for the second part of the race, she started to get tired, so her average speed dropped to 6 kilometers per hour, to determine which expression represents Nikita's distance for the second part of the race the following calculation must be performed:

Therefore, Nikita's distance from her for the second part of the race was 1.5 kilometers.

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The information about the metal object that would be most useful in determining if Vivienne's hypothesis is correct is its density. Therefore, the correct option is D.

This is because density is a measure of an object's mass relative to its volume. Since density is an intrinsic property of the material from which the object is made, it can help determine what type of metal the object is. Furthermore, since copper has a relatively high density, knowing the density of the metal object can help determine whether or not it is made of copper.

Density is a physical property that describes the mass per unit volume of a substance. The term density is used to describe the mass of an object per unit volume. The formula for calculating density is:

Density = mass/volume

Therefore, to determine whether the object is a copper penny that was run over by a train, we need to determine its density. Hence, the correct answer is option D.

Note: The question is incomplete. The complete question probably is: Vivienne noticed a metal object lying by the railroad tracks. She believes the object may have originally been a copper penny that was run over by a train. What information about the metal object would be most useful in determining if her hypothesis is correct? A. its mass B. its texture C. its volume D. its density.

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SOLUTION

We want to find the interquartile range of the box and whisker plot in the picture.

Interquartile range is calculated as

In the box and whisker plot

Hence the answer is 6

I believe the answer is 200.

Answer:

Blue

Step-by-step explanation:

Blue appears 4 times which is more than any of the others

Answer:

4Blue

3Green

2 Orange

3 modes (Trimodal)

hope it's helpful ❤❤❤❤

THANK YOU

Answer: 9/24km

Step-by-step explanation:

Since we are informed that Ana can bike 9 kilometers in 24 minutes.

To calculate the distance that Ana can bike in 1 minute will be gotten by dividing the distance covered divided by the time taken. This will be:

= 9/24 km

Therefore, Anna can bike 9/24km in 1 minute.

Answer:

x = 100

Step-by-step explanation:

\(4x^{2} -371=29\\\)

      + 371   +371

\(4x^{2} =400\)

\(\sqrt{4x^{2} } =\sqrt{400}\)

\(4x=400\)

Divide both sides by 4.

x = 100

Hope it helps!

Answer: 24 minutes

Step-by-step explanation:

We will set up a proportion to help us solve with a fraction of the distance in the numerator and minutes in the denominator. Let x be the minutes it takes to walk the entire distance.

        \(\displaystyle \frac{3/8\;of\;the\;distance}{9\;min} =\frac{8/8\;of\;the\;distance}{x\;min}\)

Next, we will cross-multiply.

        3/8 * x = 8/8 * 9

        \(\frac{3}{8}\)x = 9

Lastly, we will divide both sides of the equation by three eights.

        x = 24 minutes

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Answer:

a. t = 2.25

b. h = 91

c. t = 4.635

Step-by-step explanation: I used my graphing calc

1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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The initial size of the bacteria culture is 33

The count of the bacteria after 10 days = 200

The count of bacteria after 20 days = 1200

The difference in time = 20 - 10

= 10 days

Then the exponential growth equation will be

1200 = 200×\(e^{10k}\)

\(e^{10k}\) = 1200 / 200

Divide the terms

\(e^{10k}\) = 6

10k = ln(6)

10k = 1.79

k = 1.79 / 10

Divide the terms

k = 0.179

Use the same equation to find the initial size of the bacteria culture

200 = x × \(e^{10(0.179)}\)

x = 200 / \(e^{10(0.179)}\)

x = 200 / 5.99

Divide the terms

x = 33.38

x ≈ 33

Hence, the initial size of the bacteria culture is 33

The complete question is:

The bacteria count in a certain culture was 200 after 10 days and 1200 after 20 days. assume the bacteria are growing exponentially. Find the initial size of the bacteria culture

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Answer:

c

Step-by-step explanation:

pie times radius square

1. The greatest common factor of the polynomial 7y^3 + 14y^2 is 7y^2. Therefore, it can be factored as 7y^2(y + 2).

2. The greatest common factor of the polynomial 7m^2 − 42m + 21 is 7. Therefore, it can be factored as 7(m^2 − 6m + 3).

3. The greatest common factor of the polynomial 56xy^2 + 24x^2y^2 − 40y^3 is 8y^2. Therefore, it can be factored as 8y^2(7x + 3xy − 5y).

4. The polynomial 2q^2 − 18 can be factored by extracting the greatest common factor, which is 2. Therefore, it can be factored as 2(q^2 − 9).

Explanation:

1. To factor out the greatest common factor from the polynomial 7y^3 + 14y^2, we identify the highest power of y that can be factored out, which is y^2. By dividing each term by 7y^2, we get 7y^2(y + 2).

2. Similarly, in the polynomial 7m^2 − 42m + 21, the greatest common factor is 7. By dividing each term by 7, we obtain 7(m^2 − 6m + 3).

3. In the polynomial 56xy^2 + 24x^2y^2 − 40y^3, the greatest common factor is 8y^2. Dividing each term by 8y^2 gives us 8y^2(7x + 3xy − 5y).

4. Lastly, for the polynomial 2q^2 − 18, we can factor out the greatest common factor, which is 2. Dividing each term by 2 yields 2(q^2 − 9).

By factoring out the greatest common factor, we simplify the polynomials and express them as a product of the common factor and the remaining terms.

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Answer:

X=5

Step-by-step explanation:

3x+4=5x-6

3x+10=5x

10=2x

5=x

Answer:

answer is D)10

Step-by-step explanation:

there's a square in the corner, and that tells you this angle is a right angle which is 90degrees

so 90-60=3x

30=3x

x=10

Answer:

A. 30

x=30

Step-by-step explanation:

That is a 90 degree angle. 90-60=30

In this problem, we want to find the volume of a truncated cone, also knows as a frustum.

There are a couple of different methods we can use for this, including a general formula that can be applied.

We are given the following information:

- the diameter of the large base

- the diameter of the small base

- the height of the frustum

Since we don't know what the original height of the cone was before the frustum was created, we won't be able to use the method of subtraction (total volume minus volume of the removed smaller cone).

However, there is a useful formula we can use:

Where R represents the large radius, r represents the small radius, h represents the height.

Since we are given the diameter, we know the two radii will be half those values.

The large radius (marked in red) is

The small radius (marked in blue) is

Finally, the height is 10 cm.

Caution! We are told to give our answer in milliliters! Make sure you write your final units that way.

Using our calculator, we get the following approximation:

Answer:

7%

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

=24.5/7

=3.5

Then

3.5*15

=52.5 ans#

Answer:

Its b

Step-by-step explanation:

The linear optimization technique for allocating constrained resources among different products is linear programming.

In mathematics, linear programming is a technique for maximizing actions under certain restrictions. Maximize or minimize the numerical value is the main goal of linear programming. It is made up of linear functions that are subject to restrictions in the form of inequalities or linear equations.

A mathematical model whose requirements are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming.

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Answer: X = y/5 - 2

Step-by-step explanation:

Answer:

0.4 meters.

Step-by-step explanation:

The ratio of centimeters to meters is 100:1.

That means if there are 100 centimeters, there is 1 meter.

So:

centimeters divided by 100 is a meter.

In this case, we have 40 centimeters.

Since there are less than 100 centimeters, we can't divide by 100, so we go into the decimals.

40 divided by 100 is

40/100

simplified to:

4/10

turned into decimal:

0.4 meters.

Hope this helps :)

The answer is 0.4 meters

The given ratio of centimeters to meters is 100:1. The rope Laura has is 40 cm long. To determine how long the rope is in meters, we need to divide 40 cm by 100 to convert it to meters.

Therefore, the length of the rope in meters is 0.4 meters (40/100 = 0.4).Answer: 0.4 meters

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Answer:

c

Step-by-step explanation:

its a, b, and d because these have inputs with different outputs

ex. (-3,-5) and (-3,3)

Answer:

The answer is C. a, b, and d only.

Step-by-step explanation:

A is not a function because -3 has two y like, (-3,-5) and (-3,-3).

B is not a function because like A, it has an x that has more than one y value, like (3,2) and (3,4)

C is a function because all the x values only have one y value, even though there are many x values that contain the same y value but to be a function the x value must not repeat (only if the y value is the same) or have multiple y values for the same x value.

D is not the function because the x value 3 has two different y values, (3,2) and (3,6)

Let's assume the number of turkey burgers is represented by 'x', and the number of veggie burgers is represented by 'y'. We are given two pieces of information: the total number of burgers is 100, and the cost of veggie burgers is $120. Based on this, we can set up the following system of equations:

x + y = 100   (equation 1)

2x + 5y = 120   (equation 2)

In equation 1, we have the total number of burgers, which is 100. In equation 2, we multiply the cost per turkey burger ($2) by the number of turkey burgers (x), and multiply the cost per veggie burger ($5) by the number of veggie burgers (y), and set it equal to the total cost of veggie burgers, which is $120.

To solve this system of equations, we can use any appropriate method such as substitution or elimination. Let's use the elimination method to solve the system:

Multiply equation 1 by 2 to make the coefficients of 'x' in both equations equal:

2x + 2y = 200   (equation 3)

Now subtract equation 3 from equation 2:

2x + 5y - (2x + 2y) = 120 - 200

3y = -80

Divide both sides by 3:

y = -80/3

Substitute the value of y into equation 1:

x + (-80/3) = 100

x = 100 + 80/3

x = 380/3

Therefore, the number of turkey burgers is approximately 126.67, and the number of veggie burgers is approximately -26.67. Since the number of burgers cannot be negative, we round these values to the nearest whole numbers.

Hence, the number of turkey burgers you buy is 127, and the number of veggie burgers you buy is 0.

Now, let's find the slope-intercept form of the equation. The slope-intercept form is given by y = mx + b, where m represents the slope and b represents the y-intercept.

From equation 1, we can rewrite it in slope-intercept form as:

y = -x + 100

Therefore, the slope-intercept form of the equation is y = -x + 100.

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Answer:

A & B

Step-by-step explanation:

See attachment for complete question

Given

\(y = \frac{1}{2}x\)

Analyzing the given options

Option A:

\(6y = 3x\)

Divide both sides by 6

\(\frac{6y}{6} = \frac{3x}{6}\)

\(y = \frac{3x}{6}\)

\(y = \frac{1}{2}x\)

This is true for the given expression:

Option B:

From the graph:

x = 2, when y = 1

x = 4, when y = 2

Solving for the slope:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{2 -1}{4 - 2}\)

\(m = \frac{1}{2}\)

The equation is then calculated as:

\(y - y_1 = m(x - x_1)\)

\(y - 1 = \frac{1}{2}(x - 2)\)

\(y - 1 = \frac{1}{2}x - 1\)

Add 1 to both sides

\(y - 1 +1 = \frac{1}{2}x - 1 + 1\)

\(y = \frac{1}{2}x\)

This is also true for the given expression.

Option C:

From the graph:

x = 2, when y = 4

x = 4, when y = 8

Solving for the slope:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{8 - 4}{4 - 2}\)

\(m = \frac{4}{2}\)

\(m =2\)

The equation is then calculated as:

\(y - y_1 = m(x - x_1)\)

\(y - 4 = 2(x - 2)\)

\(y - 4 = 2x - 4\)

Add 4 to both sides

\(y - 4 + 4= 2x - 4 + 4\)

\(y = 2x\)

This isn't true for the given expression.

Option (D):

From the table:

x = 2, when y = 1

x = 4 when y = 3

Solving for the slope:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{3 - 1}{4 - 2}\)

\(m = \frac{2}{2}\)

\(m = 1\)

The equation is then calculated as:

\(y - y_1 = m(x - x_1)\)

\(y - 1 = 1 * (x - 2)\)

\(y - 1 = x - 2\)

\(y = x - 2 +1\)

\(y = x - 1\)

This isn't true for the given expression.

Answer:

A,B, and E

Step-by-step explanation:

trust me.

The general solution to the differential equation is y = [-(1/4)x^2 - (1/3)x + (C/4)]^(1/3).

To solve 2yy' + x^2 + y^2 + x = 0 using an appropriate substitution, we can substitute u = y^2. Taking the derivative of u with respect to x, we get du/dx = 2yy'. We can then rewrite the original equation as 2(u^(1/2))(du/dx) + x^2 + u + x = 0.

This is now a separable differential equation, where we can move the u term to the right side and the x terms to the left side: 2(u^(1/2))du/u = -(x^2 + x)dx. Integrating both sides, we get 4/3u^(3/2) = -(1/3)x^3 - 1/2x^2 + C, where C is the constant of integration.

Substituting back u = y^2, we get 4/3y^3 = -(1/3)x^3 - 1/2x^2 + C.

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