49x - 21y = -1,470

put in slope intercept form

Using translation concepts, function g(x) is given as follows:

C. \(g(x) = \sqrt[3]{x - 2} + 1\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is given by:

\(f(x) = \sqrt[3]{x}\)

The translations for g(x) are as follows:

Thus the rule is:

C. \(g(x) = \sqrt[3]{x - 2} + 1\)

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Answer:

My guess would have to be d

Step-by-step explanation:

How many cups of flour are needed to make 60 cookies.

\(60 \times 3 \div 24\)

\( \frac{5 \times 3}{2} \)

\( = \frac{15}{2} \)

\( = 7 \frac{1}{2} or\) \(\boxed{\sf{7.5}}\)

\(\large\boxed{\sf{Answer= Option\: C}}\)

Therefore, 7.5 cups of flour are required to make 60 cookies.

The length of each arc, given a radius of 32 km and an angle of 38 degrees, is approximately 21.0 km.

To find the length of each arc, we can use the formula:

arc length = (θ/360°) × 2πr.

Plugging in the given values, we have:

arc length = (38°/360°) × 2π(32 km).

Simplifying the equation, we get:

arc length = (0.1056) × 2π(32 km).

Using the value of π as approximately 3.14159, we can calculate:

arc length = (0.1056) × 2(3.14159)(32 km).

Evaluating the expression, we find:

arc length ≈ 21.0 km (rounded to the nearest tenth).

Therefore, the length of each arc, given a radius of 32 km and an angle of 38 degrees, is approximately 21.0 km.

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Answer:the very last answer on the paper

Step-by-step explanation:

Answer:

D. (f + g)(x) = -2x² - 2x + 8

Step-by-step explanation:

Given:

Find (f + g)(x):

⇒ \(f(x) + f(g)\)

⇒ \(3x + 5 + ( -2x^{2} - 5x + 3 )\)

⇒ \(3x + 5 - 2x^{2} - 5x + 3\)

Combine like terms:

⇒ \(-2x^{2} + 3x - 5x + 5 + 3\)

⇒ \(-2x^{2} - 2x + 8\)

Answer: D. (f + g)(x) = -2x² - 2x + 8

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

Direct cutover involves more risk than other changeover methods. So, the correct option is A) Direct cutover.

A direct cutover is a changeover method where the old system is completely replaced by the new system at a specific point in time. This means that the new system becomes operational abruptly, and the old system is immediately discontinued. It does not involve running both systems in parallel or gradually phasing out the old system.

Direct cutover carries a higher level of risk compared to other changeover methods because of its immediate and complete switch to the new system. Since there is no parallel operation or gradual transition, any issues or problems with the new system can have a significant impact on the organization's operations. If the new system encounters unexpected errors, data loss, or other technical difficulties, it can disrupt business processes and cause downtime.

The absence of a fallback option or a safety net during a direct cutover makes it riskier. If any critical issues arise, it can be challenging to revert to the old system quickly, leading to potential financial losses, customer dissatisfaction, and operational disruptions.

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The changeover method that involves more risk than other changeover methods is direct cutover.

changeover methods are used in business to transition from an old system to a new one. The four main changeover methods are direct cutover, pilot, parallel, and phased.

Direct cutover is the most risky method as it involves immediately switching from the old system to the new one. This method can be challenging because if any issues arise with the new system, it can disrupt business operations. It requires careful planning and preparation to ensure a smooth transition.

On the other hand, pilot, parallel, and phased changeover methods involve a gradual transition, allowing for testing and troubleshooting before fully implementing the new system.

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Answer:

I used a calculator.

Step-by-step explanation:

mixed number form 3 1/3

exact form 10/3

Answer:

2502.1

Step-by-step explanation:

4754/1.9

= 2,502.1

Hence the andwer is 2502.1

the radius of the circle is 30 cm when the circumference is 188.4 . The length of the boundary is its circumference.

A boy has traveled a certain distance if, after sprinting around the park once, he arrives at point "A" from point "A" in the first place. The park's circumference, which has the shape of a circle, is the length or border that it encompasses. The length of the boundary is its circumference.

calculation

Circumference=2πr

188.4=2×3.14×r

188.4=6.28×r

r= 188.4/6.28

radius=30cm

the radius of circle is 30 cm when the circumference is 188.4 .

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Answer:

D. $120 for 20 lessons

Step-by-step explanation:

Based on the data provided we can decide which package is best by first calculating how much each package is charging per lesson. We do this by dividing the total dollar amount of each package by the number of lessons offered in that package. Then we simply compare each package to see which package charges the least amount for every single lesson like so...

$90 / 10 = $9 per lesson

$160 / 20 = $8 per lesson

$80 / 10 = $8 per lesson

$120 / 20 = $6 per lesson

Based on these values we can see that the cheapest package is $120 for 20 lessons which would be $6 per lesson.

Answer:

D

Step-by-step explanation:

ED GE NU IT Y PE OP LE

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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The largest population to which the results can be generalized is in option C i.e. All student-athletes at the college.

Population: A population can be described as a complete group with at least one characteristic in common and a sample of the population can be used to get the features of the population.

We were told that a random sample of 50 student-athletes from all the student-athletes at a college, even though the population can be used to have an idea about how the consumption of beetroot juice enhances exercise performance, and it can not be used to get the results that can be generalized as more than 50 students-athletes is required which is chosen randomly.

All the other options are wrong because of this reason.

Therefore, option C is correct.

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Answer:

The 12 ounce

Step-by-step explanation:

When you buy two twelve ounces you will be receiving 24 oz. for the same price as the 20 oz.

Hope This Helped

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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The total percentage they travelled when Jai fell asleep is 35%.

In mathematics, a percentage is a ratio or value that is expressed as a fraction of 100. The Latin term "per centum," which means "by a hundred," is the source of the English word "percent." The sign "%" stands for percentage. We apply the percentage method to determine the portion of a whole expressed in terms of 100. Use the percentage formula to convert a number to a fraction of 100.

The total length of trip was 740 miles.

Jai travelled before they fell asleep  = 259 miles

Therefore the percentage of total trip travelled before Jai fell asleep =

= \(\frac{259}{740}\times100\)

= 35 %

So by 35% of the total trip, they travelled when Jai fell asleep.

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Answer:

Domain = {x | x is a real number}

Look at the step-by-step explanation to get a better understanding

Step-by-step explanation:

Domain = {x | x is a real number}

The function shown  f(x)=5^x-7 is an exponential function with a vertical shift  of  -7 units (shift downwards). Nevertheless, it is an exponential function.

Domain is the set of x-values that we can put into the function. Exponential functions of this type have a domain of "all real numbers". If you see the function, you can figure out that we can put any real number and still there will be no "undefined" or "division by zero" cases.

Thus, this function's domain is the set of all real numbers.

Domain = {x | x is a real number}

Hope you fond this helpful! :)

Answer:

all real numbers

Step-by-step explanation:

Answer:

y = -x+5

Step-by-step explanation:

m = (-1-4)/(6-1) = -1

y = -x + b

4 = -1 +b, so b=5

equation is y=-x+5

To determine the amount of empty space in the box after three cans of paint are placed inside, we need to calculate the volume of the box and the volume of three cans of paint and subtract the latter from the former.

Explanation:

The box is a rectangular prism with dimensions of length 16 inches, width 12 inches, and height 10 inches. The can of paint is a cylinder with a diameter of 3 inches and a height of 4 inches. The volume of the box is found by multiplying the length, width, and height of the box:

Volume of box = 16 in x 12 in x 10 in = 1,920 cubic inches.

The volume of one can of paint is found by using the formula for the volume of a cylinder:

Volume of one can = πr^2h = 3.14 x (1.5)^2 x 4 = 28.26 cubic inches.

Therefore, the volume of three cans of paint is:

Volume of three cans = 3 x 28.26 = 84.78 cubic inches.

Finally, to determine the amount of empty space in the box after three cans of paint are placed inside, we subtract the volume of the three cans from the volume of the box:

Empty space in the box = Volume of box - Volume of three cans = 1,920 - 84.78 = 1,835.22 cubic inches (rounded to two decimal places).

Therefore, approximately 1,835.22 cubic inches of empty space will remain in the box after three cans of paint are placed inside.

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Answer:

− 4 x + 20

Step-by-step explanation:

The test statistic for this sample and the p-value for this sample is  t = 0.467.

Given:

sample of size n=305

M=83.6

SD=14.9.

Significance level of α = 0.001 . H o : μ = 82.4 H a : μ ≠ 82.4

To find the Test statistic

\(test=\frac{\bar x-\mu}{\frac{s.t}{\sqrt{n} } }\)

    \(=\frac{82.4.6-83.6}{\frac{14.9}{\sqrt{305} } }\)

     \(0.467\)

P-value:

With t = 0.467.

p-value = (1 - 0.467)

0.533 > 0.001

So, fail to reject H₀

Therefore, the failing to reject the Null Hypothesis.

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Answer:It is 19.7,??

Step-by-step explanation:

The first three nonzero terms of two linearly independent solutions about x = 0 can be obtained by Taylor expanding the solutions in terms of the exponent r and truncating the series to the desired order.

To determine if x = 0 is a regular singular point of the differential equation xy'' + y = 0, we substitute y = x^r into the equation and solve for the exponent r. Differentiating y twice with respect to x, we have y'' = r(r - 1)x^(r - 2). Substituting these expressions into the differential equation, we get \(x(x^r)(r(r - 1)x^(r - 2)) + x^r = 0\). Simplifying, we obtain r(r - 1) + 1 = 0, which yields r^2 - r + 1 = 0. Solving this quadratic equation, we find that the exponents at the singular point x = 0 are complex and given by r = (1 ± i√3)/2.

To find the first three nonzero terms of two linearly independent solutions about x = 0, we can use the Taylor series expansion. Let's consider the solution y1(x) corresponding to the exponent r = (1 + i√3)/2. Expanding y1(x) as a series around x = 0, we have y1(x) =\(x^r = x^((1 +\)i√3)/2) = x^(1/2) *\(x^(i√3/2\)). Using the binomial series expansion and Euler's formula, we can write \(x^(1/2) and x^(i√3/2)\) as infinite series.

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If any doubt leave a comment

Answer:

you do not have enough information to determine

Answer:

$222.50

Step-by-step explanation:

Hours Josh worked last week = 30

Money earned per hour = $8.50

Money withheld = $32.50

Josh's net pay = (30 x 8.50) - 32.50

                        = 255 - 32.50

                        = $222.50

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The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

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The question that is a statistical question is: "which brand of ice cream is preferred by the people shopping at a grocery store?" (Option D)

A statistical question is one that can be addressed by gathering varying amounts of data.

This is a statistical issue since it entails gathering and evaluating data from a group of individuals to discover which brand of ice cream the majority prefers.

The other alternatives are not statistical inquiries since they solicit personal opinions or preferences rather than group facts.

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