Is 1/2 (8 - 4g) equivalent to 4 + 2g?

Using linear functions, it is found that they have to buy 8 tickets for the costs to be the same.

A linear function is modeled by:

y = mx + b

In which:

For the functions in this problem, we consider that:

Hence the cost functions for Kiara and Donovon are given, respectively, by:

The costs will be the same when:

K(x) = D(x)

5 + 0.75x = 7 + 0.5x.

0.25x = 2

x = 2/0.25

x = 8.

They have to buy 8 tickets for the costs to be the same.

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Answer:

I did the math and I think its 238 if I'm wrong I'm sorry

Answer:

Step-by-step explanation:

3. \(\frac{-4-4}{-2-3} =\frac{-8}{-5} =\frac{8}{5}\)

4.\(\frac{5-(-3)}{2-(-2)} =\frac{8}{4} =2\)

Answer:

3. 1.6 and 4. 2

Step-by-step explanation:

3. m = (y2-y1)/(x1-x2)

m = ( 4-(-4))/(3-(-2))

m = 8/5= 1.6

4. m = (-3-5)/(-2-2)

m = -8/-4

m = 2

In a sample size of 75 people in the Boomer Generation, proportionately, the estimated number of people who prefer to shop in-store is 63.

Proportion shows the relative number of objects or people in the whole.

Proportions are ratios equated to each other.

They are expressed as fractional values, in decimals, percentages, and fractions.

The percentage of Boomers who want to shop in-store = 84%

The sample size of the Boomer Generation = 75

The estimated number of Boomers in the sample size who want to shop in-store = 63 (75 x 84%)

Thus, 63 Boomers representing 84 percent of 75 want to shop in-store.

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Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters. Therefore, none of the options A, B, C, or D provided is the correct answer.

To calculate the volume of the liquid in the cylindrical steel pipe, we need to find the difference in volume between the solid cylinder (hollow part) and the hollow cylinder.

Given:

Length of the cylindrical steel pipe (hollow part) = 21 cm

Radius of the solid cylinder = 0.4 cm

Radius of the hollow cylinder = 0.1 cm

First, let's calculate the volume of the solid cylinder (hollow part):

V1 = π × \(r1^2\) × h

V1 = π × \((0.4 cm)^2\) × 21 cm

Next, let's calculate the volume of the hollow cylinder:

V2 = π × \(r2^2\) × h

V2 = π × \((0.1 cm)^2\) × 21 cm

Now, we can find the volume of the liquid in the pipe by subtracting V2 from V1:

Volume of liquid = V1 - V2

Let's calculate these values:

V1 = π ×\((0.4 cm)^2\) × 21 cm ≈ 10.572 cm³

V2 = π × \((0.1 cm)^2\) × 21 cm ≈ 0.693 cm³

Volume of liquid = V1 - V2 ≈ 10.572 cm³ - 0.693 cm³ ≈ 9.879 cm³

To convert the volume from cubic centimeters (cm³) to liters (L), we divide by 1000:

Volume of liquid in liters ≈ 9.879 cm³ / 1000 ≈ 0.009879 L

Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters.

Therefore, none of the options A, B, C, or D provided is the correct answer.

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Answer:

-12m - 48

Step-by-step explanation:

-4(3m+12)

•(-4)(3m)= -12m

•(-4)(12)= -48

-12m - 48

Answer:

E. 1/3

Step-by-step explanation:

In this sequence, the numbers are descending and are 1/3 of the previous number.

243 / 3 = 81

81 / 3 = 27

9 / 3 = 3

3 / 3 = 1

1 / 3 = 1 / 3 (the next term)

The slope of the line is 7/9

It is important to note that the equation of a line is represented as;

y = mx + c

Where;

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

Now, let's substitute the values into the formula from the points given we have;

Slope, m =1 -(-6)/ -3 - (-6)

expand the bracket

Slope, m = 1 + 6/ 3 + 6

add the values

Slope, m = 7/9

Hence, the value is 7/9

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Answer:

x>24.5

Step-by-step explanation:

cant do step by step because look

Answer:

\(Volume = 314500cm^3\)

Step-by-step explanation:

Given

\(Length = 125cm\)

\(Width = 37cm\)

\(Height = 68cm\)

Required

Determine the volume

Volume is calculated as:

\(Volume = Length * Width * Height\)

Substitute values for Length, Width and Height

\(Volume = 125cm * 37cm * 68cm\)

\(Volume = 314500cm^3\)

Hence, the volume of the box is \(314500cm^3\)

Answer:

(f+g)(x) = x²-x-3

Step-by-step explanation:

2x-1 + x² -3x-2

x²-x-3

Answer:

\((f + g)(x)\) = \(x^2 - x - 3\)

Step-by-step explanation:

• We are given:

\(f(x) = 2x -1\)

\(g(x) = x^2 -3x -2\)

• To calculate \((f + g)(x)\), we have to add the expressions for \(f(x)\) and \(g(x)\)

⇒ \(f(x) + g(x)\)

⇒ \(2x-1 + x^2 -3x -2\)

⇒ \(x^2 - x - 3\)

Answer:

I dont know if this is much help but I asked my mom to review it as she said it was correct. :)

Answer:

your answer's correct!!

Step-by-step explanation:

Answer:

\( \frac{7 \times {3}^{2} }{3} \\ \frac{7 \times 3 \times 3}{3} \\ = 7 \times 3 = 21 \\ thank \: you\)

The correct order of the assumptions used in the derivation is: A, B, C, D, E. A states that the population is large, B: random, C: representative, D: large, and E states that the sampling is done without replacement.

The derivation of the Central Limit Theorem was based on five assumptions: (a) The population is large, (b) The sample is random, (c) The sample is representative, (d) The sample size is large, and (e) The sampling is done without replacement. The first assumption used in the derivation is that the population is large, which means that the number of individuals in the population is much greater than the sample size. This is important because the Central Limit Theorem states that the mean of the sample will approach the population mean as the sample size increases. The second assumption used is that the sample is random, which means that each individual in the population has an equal chance of being selected for the sample. This helps to ensure that the sample is representative of the population as a whole. The third assumption is that the sample is representative, which means that the characteristics of the sample are similar to those of the population. This is important because it allows us to make generalizations about the population based on the sample. The fourth assumption is that the sample size is large. This is important because the Central Limit Theorem states that the mean of the sample will approach the population mean as the sample size increases.

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The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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The number of M&M's that were in the bowl before Amelia arrived is; 12

Let the original amount in the bowl be x. Thus;

If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x

Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x

Now, we are told that there were finally 3 left after all the deductions. Thus;

0.25x = 3

x = 3/0.25

x = 12

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f¹(x) = (x + 7)², for x ≥ -7 inverse function is the correct answer.

Function is a specific set of instructions that are designed to carry out a particular task or operation. Functions are commonly used in computer programming to organize code and make it easier to understand and maintain. A function can take input, such as a number or text string, process it, and return an output. This output can be used by other functions or for other purposes. Functions are also used in mathematics, where they are referred to as mathematical functions, and are the building blocks of algebra and calculus.

The inverse of a function f(x) = √x + 7 is f¹(x) = (x + 7)², for x ≥ -7.

This can be seen by substituting x with √x + 7 to get x + 7 = √x + 7, which can be rearranged to (x + 7)² = x. Therefore,

the inverse of the given function is f¹(x) = (x + 7)², for x ≥ -7.

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Answer:

eight squared or 64

Answer:

8 to the 2nd power.

Step-by-step explanation:

First add all the power. This will get you 8*11/8*9. Next, divide this by subtracting which will get you 8*2! Have a nice day!!!

The logarithmic function can be written exponentially as follows.\(t = 8^y.\)

Exponents and logarithms are inverse operations of one another. We can rewrite an equation in logarithmic form as log_a(b) = x if it has the form axe = b. A number's logarithm is the exponent that must be raised in order to obtain that number. For instance, since 102 = 100, log_10(100) = 2. Similar to this, we can express an equation in exponential form, such as axe = b, if it is in logarithmic form, such as log_a(b) = x. The inverse function of the logarithmic function is the exponential function. As a result, when we apply a logarithm to an exponential expression, the original exponent is returned, and the opposite is true.

The given logarithmic expression is \(log_{8}(t) = y.\)

We know that if we have an equation in the form \(a^x = b\), we can rewrite it in logarithmic form as \(log_a(b) = x\) and vice versa.

Thus, \(log_{8}(t) = y\)

\(t = 8^y\)

Hence, the logarithmic function can be written exponentially as follows.\(t = 8^y.\)

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Answer:

-1/5

Step-by-step explanation:

y2-y1/x2-x1

1-2=-1

-4-1=-5

-1/5

Answer:

C) 1/5

Step-by-step explanation:

Find the Slope (1, 2) and (−4, 1)

Slope is equal to the change in y over the change in x, or rise over run.

              change in y

    m =     __________

               change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

               y2 − y1

    m =     _________

                x2 − x1

Substitute in the values of x and y into the equation to find the s lope.

               1 − (2)

    m =    _________

               −4 − (1)

Simplify the numerator.

                 −1

    m =     _________

                −4 − (1)

Simplify the denominator.

                −1

     m =    ________

                −5

Dividing two negative values results in a positive value.

                 1

     m =    ________

                 5

Answer:

There are 20 blue fish in the aquarium.

Step-by-step explanation:

If 60% of the fish are red than 40% are blue. That means that 20% fish is 10 fish. 20% = 10 fish. 40% = 20 fish.

The total units that will be produced by Pasadena Candle Inc. based on the projected sales given will be 49100 units

Expected unit to be sold = 58000

Desired ending inventory = 6000

Total units available = 52000

Less: Estimated beginning inventory = 2900

Total units to be produced = 49100

In conclusion, the total units will be 49100.

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Answer: D, 100

Step-by-step explanation:

Answer: 100 (D)

Step-by-step explanation:

cuz

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{\pi }{2}\\[1em] r=\frac{8}{3} \end{cases}\implies A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot\left( \cfrac{8}{3} \right)^2 \\\\\\ A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot \cfrac{64}{9}\implies A=\cfrac{16\pi }{9}\implies A\approx 5.59\)