You guys can write a story or a situation that can be represented by the given equation.

4a + 5 = 12a - 11

Thank you :)​​

Answer:

C. 9 8/56

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Box contain = 512 grams

One serving = 56 gram

So, we can calculate the number of serving by using following formula,

Number of serving = Box contain ÷ One serving

By putting the value, we get

Number of serving = 512 ÷ 56

= 9.14 or 9 8/56

Answer:

I'm slow. I think so because remember y=mx+b

b is the y intercept and the mx is the slope which is x.

So 4x is the slope which is the x, and 2 is the y intercept.

Step-by-step explanation:

correct me anyone if im wrong

Answer:

c = 256

Step-by-step explanation:

Good Luck :)

Part A:

The new deck will be a 4:5 scaled version of the original deck. This means that every dimension of the new deck will be 4/5 times the corresponding dimension of the original deck.

The original deck has a base of 15 feet and a height of 9 feet.

The new deck will have a base of (4/5) * 15 = 12 feet and a height of (4/5) * 9 = 7.2 feet.

Therefore, the dimensions of the new deck are 12 feet for the base and 7.2 feet for the height.

Part B:

To find the area of the original deck, we use the formula for the area of a triangle:

Area = (1/2) * base * height = (1/2) * 15 * 9 = 67.5 square feet.

To find the area of the new deck, we use the same formula with the new dimensions:

Area = (1/2) * 12 * 7.2 = 43.2 square feet.

Therefore, the area of the original deck is 67.5 square feet, and the area of the new deck is 43.2 square feet.

Part C:

The ratio of the areas is:

Area of new deck / Area of original deck = 43.2 / 67.5

Simplifying this fraction, we get:

Area of new deck / Area of original deck = 8 / 15

The scale factor is 4/5, which simplifies to 8/10 or 4/5.

Comparing the ratio of the areas to the scale factor, we see that:

Area ratio / Scale factor = (8/15) / (4/5) = (8/15) * (5/4) = 1

Therefore, the ratio of the areas is equal to the scale factor. This makes sense since the area of a triangle is proportional to the square of its dimensions. In this case, the scale factor is applied to both the base and the height, so the area ratio is equal to the scale factor squared, which is 16/25.

Answer:

Step-by-step explanation:

Part A: To find the dimensions of the new deck, we need to scale the base and height of the original deck by a factor of 4:5.

Scaling factor = 4/5

New base = 15 * (4/5) = 12 feet

New height = 9 * (4/5) = 7.2 feet

Therefore, the dimensions of the new deck are 12 feet for the base and 7.2 feet for the height.

Part B: The area of the original deck can be found by using the formula for the area of a triangle:

Area = (1/2) * base * height = (1/2) * 15 * 9 = 67.5 square feet.

The area of the new deck can also be found using the same formula:

Area = (1/2) * base * height = (1/2) * 12 * 7.2 = 43.2 square feet.

Part C: The ratio of the areas of the two decks can be found by dividing the area of the new deck by the area of the original deck:

Ratio of areas = (43.2 / 67.5) ≈ 0.64

The scale factor is 4:5 or 0.8.

Comparing the ratio of areas to the scale factor:

Ratio of areas / scale factor = (0.64 / 0.8) = 0.8

The ratio of the areas divided by the scale factor is equal to 0.8, which makes sense since the scale factor is the factor by which the dimensions were scaled up, and the ratio of areas tells us how much the area was scaled up.

The value of p(10) we get as  123.

What is Quadratic polynomial ?

A quadratic polynomial is a polynomial of degree 2, which means that it is a polynomial expression in one variable (usually written as x) that contains only terms of the form ax² + bx + c, where a, b, and c are constants. The highest exponent of the variable x in a quadratic polynomial is 2.

We are given a table of values for the quadratic polynomial p. Since p is a quadratic polynomial, it can be written in the form:

p(x) = ax² + bx + c

where a, b, and c are constants.

To find the value of p(10), we need to substitute x = 10 in the above equation and simplify:

p(10) = a(10)² + b(10) + c

p(10) = 100a + 10b + c

We don't know the values of a, b, and c, but we can use the values in the table to set up a system of equations.

From the table, we can see that:

p(0) = c = 3

p(1) = a + b + c = 6

p(2) = 4a + 2b + c = 11

Solving this system of equations, we get:

a = 1

b = 2

c = 3

Therefore, the quadratic polynomial p is:

p(x) = x² + 2x + 3

To find p(10), we substitute x = 10 in the above equation:

p(10) = (10)² + 2(10) + 3

p(10) = 100 + 20 + 3

p(10) = 123

Therefore, the value of p(10) is 123.

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Answer:

No

Step-by-step explanation:

Here the given measurements are 5,7,10

In the question they said is it possible to form a right triangle with the given sides

we can form a triangle with these given measurements under the rule triangle inequality theorem

But a right triangle cannot be formed

The reason is because,

a²+b²=c²

5²+7²=10²

25+49 = 100

74 ≠ 100

Hence, a right triangle cannot be formed using the given measurements

Step-by-step explanation:

because when the exponent is an odd number a negative number stays negative

and when the exponent is an even number the sign changes and a negative number becomes positive

Answer:

Axioms or postulates are universal truths. They cannot be proved. Theorem are statements which can be proved.

nice

Step-by-step explanation:

We ahve to solve for y in the equation:

- 2 x - 7 y = 4

We add 7 y to both sides:

- 2 x = 4 + 7 y

now subtract 4 from both sides:

- 2 x - 4 = 7 y

divide everything on the left and everything on the right by 7 in order to isolate the "y" completely:

- 2 x / 7 - 4 / 7 = y

y = -(2/7) x - (4/7)

where "- (2/7) " is the slope

and

"- (4/7)" is the y-intercept

If Scarlet Company received an invoice for $53,000.00 that had payment terms of 3/5 n/30 and made a partial payment of $16,800.00 during the discount period, the balance of the invoice is $34,610.

To calculate the balance of the invoice, follow these steps:

Therefore, the balance of the invoice is $34,610.

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Answer:

The oceans – the largest CO2-reservoir

Step-by-step explanation:

The oceans absorb substantial amounts of carbon dioxide, and thereby consume a large portion of this greenhouse gas, which is released by human activity.

The ocean is a natural 'reservoir' for dissolved carbon dioxide.

We have,

The _____________  is a natural 'reservoir' for dissolved carbon dioxide.

Oceans absorb large amounts of carbon dioxide consuming a large portion of greenhouse gas such as carbon dioxide which is released by human activity.

Oceans are the largest carbon dioxide reservoir.

Thus,

The ocean is the answer.

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Answer:

Step-by-step explanation:

x =(-7+√-7)/-2=(7-i√ 7 )/2= 3.5000+1.3229i

 or:

x =(-7-√-7)/-2=(7+i√ 7 )/2= 3.5000-1.3229i

The cylindrical coordinates of the point with rectangular coordinates (x, y, z) = (-3, 5, -1) are (ρ, θ, z) ≈ (sqrt(34), -1.03, -1).

Cylindrical coordinates are a type of coordinate system used in three-dimensional space to locate a point using three coordinates: ρ, θ, and z. The cylindrical coordinate system is based on a cylindrical surface that extends infinitely in the z-direction and has a radius of ρ in the xy-plane.

To convert rectangular coordinates (x, y, z) to cylindrical coordinates (ρ, θ, z), we use the following formulas:

ρ =\(\sqrt(x^2 + y^2)\)

θ = arctan(y/x)

z = z

Substituting the given values, we get:

ρ = \(\sqrt((-3)^2 + 5^2)\)= sqrt(34)

θ = arctan(5/-3) ≈ -1.03 radians or ≈ -58.8 degrees (measured counterclockwise from the positive x-axis)

z = -1

Therefore, the cylindrical coordinates of the point with rectangular coordinates (x, y, z) = (-3, 5, -1) are (ρ, θ, z) ≈ (sqrt(34), -1.03, -1).

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The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.

The given fraction is 13/625.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, the decimal expansion is 13/625 = 0.0208

So, the number of places of decimal are 4.

Therefore, the correct answer is option D.

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The amount of money that Jace would have to pay in total if he goes on 5 rides is; $40

The amount of money that Jace would have to pay in total if he goes on r rides is; 5r + 15

The general form of the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, Since the price of admission into the park is $15, it means that it is the y-intercept. Thus, c = $15

He pays $5 for every ride and as such this will be the slope. Thus;

Total cost = 5x + 15

where x is number of rides

For 5 rides;

Y(5) = 5(5) + 15

= $40

For r rides, the total cost is;

y(r) = 5r + 15

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Answer:

A proportional relationship is something like:

y = k*x

where k is the constant of proportionality.

Notice that in these relationships we will always have the pair (0, 0)

because if x = 0:

y = k*0 = 0

Then we always have x= 0, y = 0.

Notice that in the first two tables we have the points:

(2, 0) in the first one

(0, 1) in the second one.

then neither of these can be a proportional relationship.

The only option left is the third one.

To graph the relationship, we can just graph the four points in the table.

Then draw a line that passes through all the points, like in the image below.

And this line is written as:

y = 3*x

such that:

y(1) = 3*1 = 3 -----> (1, 3)

y(2) = 3*2 = 6 -----> (2, 6)

y(3) = 3*3 = 9 ------>  (3, 9)

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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Answer:

C

Step-by-step explanation:

They all have and addition and subtraction pattern in each cube, thank me later - PrObLeM OcCuReD

Step-by-step explanation:

z² +x² - y= -2²+ -1² - 3

4+ 1 - 3= 2

x²y²z²= -1²× 3²× -2²

1× 9× 4= 36

Answer:

ok

Step-by-step explanation:

The student that has   the highest probability to find that the actual number of times his or her coin lands heads up most closely matches the predicted numberof heads-up landings is Collin.

Let's calculate the expected number of heads-up landings for each student  -

Ana = 0.5 * 50 = 25

Brady  = 0.5 * 10 = 5

Collin = 0.5 * 80 = 40

Deshawn  = 0.5 * 20 = 10

From the above we can   see that Collin (80 flips) is most likely to find that the actual number of times his coin lands heads up most closely matchesthe predicted   number of heads-up landings (40).

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Four students are determining the probability of flipping a coin and it landing head's up. Each flips a coin the number of times shown in the table below.

Student

Number of Flips

Ana

50

Brady

10

Collin

80

Deshawn

20

Which student is most likely to find that the actual number of times his or her coin lands heads up most closely matches the predicted number of heads-up landings?

The two possible locations of L

Given that

To find

So, according  to the question

We have,

So, we know that

               X = \(\frac{mx_2 \pm nx_1}{m+n}\)  and Y = \(\frac{my_2\pm ny_1}{m+n}\)

Let's assume the location of point L is (x,y).

So, the coordinates of point L (x,y) are

               x = \(\frac{mx_2 \pm nx_1}{m+n}\) and y = \(\frac{my_2\pm ny_1}{m+n}\)

Where,

          x₂ = 9 and x₁ = -6,

          y₂ = 1 and y₁ = -8,

          m = 2 and n = 1,

For x-coordinates,

                x = \(\frac{2\times 9 \pm 1\times (-6)}{2+1}\)              

                x = \(\frac{18 \pm (-6)}{3}\)

           for (+) sign,

                x = \(\frac{18 + (-6)}{3}\)

                x = \(\frac{18 -6}{3}\) = \(\frac{12}{3} = 4\)      

                x = 4                      

           for (-) sign,

                x = \(\frac{18 - (-6)}{3}\)

                x = \(\frac{18 +6}{3}\) = \(\frac{24}{3} = 8\)      

                x = 8          

For y co-ordinates,

                y = \(\frac{2\times 1 \pm 1\times (-8)}{2+1}\)    

                y = \(\frac{2 \pm (-8)}{3}\)

           for (+) sign,

                y = \(\frac{2 + (-8)}{3}\)

                y = \(\frac{2 -8}{3}\) = \(\frac{-6}{3} = -2\)

                y = -2                          

           for (-) sign,

                y = \(\frac{2 - (-8)}{3}\)

                y = \(\frac{2 +8}{3}\) = \(\frac{10}{3} = 3.33\)        

               y = 3.33    

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The sum of the series to 3 decimal places is approximately 1.094.

To find the sum of the series ∑(n=1 to ∞) 1/n³,use the formula for the sum of a convergent p-series. the series is a p-series with p = 3, which converges.

The formula for the sum of a convergent p-series is:

S = Σ(1/n²p)

p = 3, so the sum can be calculated as:

S = Σ(1/n³)

To find the sum correct to 3 decimal places calculate the partial sums and stop when the difference between consecutive partial sums is less than the desired accuracy.

Let's calculate the partial sums:

S1 = 1²(-3) = 1

S2 = 1²(-3) + 2²(-3) = 1 + 1/8 = 1.125

S3 = 1²(-3) + 2²(-3) + 3²(-3) = 1 + 1/8 + 1/27 ≈ 1.097

Continuing this pattern, calculate more partial sums until achieve the desired accuracy of 3 decimal places.

S4 ≈ 1.095

S5 ≈ 1.094

S6 ≈ 1.094

S7 ≈ 1.094

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Answer:

Surface area of prism A is approximately 12.4 square units.

Step-by-step explanation:

Since prism A and prism B are similar, their corresponding side lengths are proportional. Let's use the scale factor k to represent the ratio of the side lengths of prism B to those of prism A. Then, the volume of prism B is (k³)(27) = 27k³ cubic units. Similarly, the surface area of prism B is (k²)(surface area of prism A).

We are given that the volume of prism B is approximately 512 cubic units. Therefore, we can solve for k:

27k³ = 512

k³ = 512/27

k ≈ 3.62

Now, we can use k to find the surface area of prism A:

surface area of prism B = (k²)(surface area of prism A)

128 = (3.62²)(surface area of prism A)

surface area of prism A ≈ 12.4 square units

Therefore, the surface area of prism A is approximately 12.4 square units.

A important goal of inferential statistical analysis is to generalize results from the study to the target population (option c).

An important goal of inferential statistical analysis is to generalize the findings and results obtained from a study or sample to the larger target population. Inferential statistics involves making inferences, drawing conclusions, and making predictions about a population based on the analysis of a sample.

When conducting a study, it is often impractical or impossible to collect data from the entire population of interest. Instead, a sample is typically selected and studied. Inferential statistics helps researchers make inferences about the population based on the sample data.

By analyzing the sample data using inferential statistical techniques, researchers can estimate population parameters, test hypotheses, determine the significance of findings, and make predictions about the larger population. This allows for generalization of the findings and helps in making informed decisions and drawing conclusions that extend beyond the specific sample studied.

Options A, B, and D are also important goals in statistical analysis, but they are not specific to inferential statistics. Analyzing and describing data (option A) is a goal of descriptive statistics. Determining the validity of theoretical constructs (option B) and measuring the reliability and validity of measurement tools (option D) are goals related to assessing the quality and soundness of research instruments and constructs, but they do not specifically address the goal of generalizing results to a larger population. The correct option is c.

The complete question is:

An important goal of inferential statistical analysis is to:

A. analyze and describe data collected during a study.

B. determine whether theoretical constructs are valid.

C. generalize results from the study to the target population

D. measure the reliability and validity of measurement tools

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Answer: The input is 5.

Step-by-step explanation: Since both are functions of f(x), you can set 9x-27 equal to 18 and then solve the equation. 9x-27=18, add 27 to both sides to get 9x=45, divide both sides by 9, x=5.

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