Graph the exponential function
f(x)=2/5)x

Her account balance had withdrawals of $163.06.

Her account balance at the end of the 3-day period was $1678.91.

Her account had deposits totalling $985.

The direct deposit paid into the checking account would increase the value of the account. The online banking fee, purchases, the withdrawal from an ATM and the usage charge would reduce the value of the checking account.

The direct deposit would be added to the current balance. The online banking fee, purchases, the withdrawal from an ATM and the usage charge would be subtracted from the current balance.

Addition is the process of determining the sum of two or more numbers. The sign used to denote addition is +. Subtraction is the mathematical operation used to determine the difference between two or more numbers. The sign used to denote subtraction is -.

Ending balance = $857 + $985 - $25 - $12.17 - $45.76 - $37.16 - $40 - $3 = $1,678.91

Withdrawals : $25 + $12.17 + $45.76 + $37.16 + $40 + $3  = $163.09

Here are the options:

Which three statements about Alicia's checking account are correct? Select all that apply.

Her account had deposits totaling $960.

Her account balance had withdrawals of $163.06.

Her account balance increased by $821.91.

Her account balance increased by $891.21.

Her account balance at the end of the 3-day period was $1678.91.

Her account had deposits totaling $985.

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Answer:

56

Step-by-step explanation:

We can represent 175616 as the product of primes as below:

175616=2×2×2×2×2×2×2×2×2×7×7×7

Grouping the factors to form the triplet, we have:

175616=2×2×2 ×2×2×2 ×2×2×2   ×7×7×7

Taking the cube root, we have:

\(\sqrt[3]{175616} = 2*2*2*7\)

Simplifying, we have:

\(\sqrt[3]{175616} = 56\)

Hence, the cube root of 175616 is 56

Hope it helps

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Answer:

\(g(x) = {(3x)}^{2} \)

Answer:

I am not sure which form you want.

Points slope: y -2  = 3(x -4)

Slope intercept:  y = 3x -10

Step-by-step explanation:

Point slope form for the line

y- y = m(x -x)  

slope of 3 and the point (4,2)  Use 4 for x and 2 for y

y -2  = 3(x -4)

Slope intercept form of a line

y = mx + b

2 = 3(4) + b

2 = 12 + b  Subtract 12 from both sides

2 - 12 = 12 - 12 + b

-10 = b

y = mx + b

y = 3x -10

Yes, the graph of the function do cross the x-axis.

X-intercept . The x-intercept marks the location at which the graph crosses the x-axis, or (a,0). When y is 0, the x-intercept appears. The graph's intersection with the y-axis, or point (0,b), is known as the y-intercept. When x is 0, the y-intercept appears.

The x-intercept and y-intercept are the points at which a line crosses the x- and y-axes, respectively.

The y-axis is typically the vertical axis, while the x-axis is typically the horizontal axis. The figure below illustrates how they are represented by two number lines that perpendicularly intersect at (0, 0), the origin.

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Answer:

the answer to the question is 1/8

The time required for a radio signal to travel from a satellite to the surface of the Earth is the same as the time required for light to travel that distance.

As a result, we'll utilize the following equation:

T = d/s

Where T represents time, d represents distance and s represents speed.

To solve for T, we must rearrange this equation as follows:

T = d/sWe have the distance and speed,

so we can just plug in and solve:

\(T = 3.54*10^7 meters / 3*10^8 m/sT = 0.118\) seconds

Therefore, it will take approximately 0.118 seconds for a radio signal to travel from a satellite to the surface of the Earth.

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Marie was originally planning to share her cash present with 16 cousins.

To determine the number of cousins Marie was planning to share her cash present with, we need to solve the problem by working backward from the given information.

Initially, Marie planned to distribute the $1000 cash present equally among her cousins. However, three cousins declined the gift, leaving a certain number of cousins remaining. Despite the decline, Marie still divides the cash present equally among the remaining cousins, with each cousin receiving $75 more than previously.

Let's assume that there were x cousins originally planned to receive the cash present. After the three cousins declined, the number of remaining cousins is (x - 3). We know that each cousin now receives $75 more than previously. Therefore, the difference between the initial amount each cousin received and the current amount is $75.

To find the value of x, we can set up the following equation:

(x - 3) * ($75) = $1000.

By solving this equation, we find that x = 16. Hence, Marie was originally planning to share her cash present with 16 cousins.

By working through the given information and setting up an equation, we can determine that Marie was initially planning to share her $1000 cash present among 16 cousins.

Although three cousins declined the gift, the remaining cousins still receive an equal share with an additional $75 each. This calculation allows us to understand the original number of cousins Marie intended to share her cash present with and how the distribution changed after the declines.

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The time taken by a student to finish a statistics exam can be modeled using the following cumulative distribution function: F(x) = 1 - e^-0.9, x > 0

Suppose that the time taken for a student to finish the exam is constant from student to student.

Then the mean number (to the nearest whole number) of students who will finish the exam in less than 1 hour for 12 students randomly selected is 7

.Step-by-step explanation:

The cumulative distribution function is given by, F(x) = 1 - e^-0.9, x > 0

Now, let X be the time taken by a student to finish the statistics exam

Then, X ~ Exp (0.9 )

We know that the cumulative distribution function (CDF) of the exponential distribution with parameter λ is given by,F(x) = P(X ≤ x) = 1 - e^(-λx) , x > 0Here, λ = 0.9.

Therefore, the CDF of X is given by,F(x) = P(X ≤ x) = 1 - e^(-0.9x) , x > 0

The probability that a student finishes the exam in less than 1 hour is, P(X ≤ 1) = F(1) = 1 - e^(-0.9) ≈ 0.5271

This means that out of 12 students randomly selected,

The expected number of students who finish the exam in less than 1 hour is,μ = np= 12 × 0.5271≈ 6.3252

Hence, the mean number (to the nearest whole number) of students who will finish the exam in less than 1 hour for 12 students randomly selected is 7.

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Answer:

80 degrees

Step-by-step explanation:

180 - 100 = 80

The upper control limit (UCL) with three-sigma limits for the mean of software upgrade time in minutes can be determined by multiplying the standard deviation by three and adding it to the mean. However, since the mean and standard deviation are not provided in the question, a specific numerical answer cannot be given.

In statistical process control, the three-sigma control limits are commonly used to establish the range within which a process is considered to be in control. The three-sigma limits represent a statistical measure that encompasses approximately 99.7% of the data if the process is stable and normally distributed.

By calculating the UCL using the mean and standard deviation, organizations can set an upper boundary that helps monitor the software upgrade time. If any data point exceeds the UCL, it suggests a potential variation or issue in the process, warranting further investigation and corrective actions to ensure the software upgrade time remains within acceptable limits. The UCL serves as a reference point for identifying significant deviations from the expected mean and facilitates continuous process improvement in software upgrade operations.

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Answer: n> or equals to 3

Step-by-step explanation:

Find explanation on the attachment

Answer:

17. x=11  18. x=18

Step-by-step explanation:

For 17, 14x-25=129, add 25 to 129 to get 154, then divide 154 by 14x to get x=11. The conditional for 17. would be "If J║K then alternate interior angles are congruent.

For 18. 2x-8+9x-10=180, combine like terms to get 11x - 18 =180, add 18 to 180 to get 198 than divide 198 by 11x and get x = 18. Converse statement would be, "If J║K then consecutive interior angles are supplementary.

Answer:

6

explanation

\(since \: they \: are \: similar \\ \frac{x + 2}{32} = \frac{3}{12} \\ crossmultiplying \\ 32 \times 3 = 12(x + 2) \\ 96= 12x + 24 \\ 12x = 96 - 24 \\ 12x = 72 \\ dividing \: bothsides \: y \: 12 \\ x = \frac{72}{12} \\ x = 6\)

Answer:

x= 1

y= 3

Step-by-step explanation:

21(-2+y) +7y = 42

-42 +28y+42

28y = 42+42

28y= 84

divide both sides y= 3

x= -2+3 x=1

x= + (3-2) = 1

42=42

10=10

Answer:

The sales tax on a $3,800 car in Washington would be $326.80

Thus the final cost would be $4126.80  

Step-by-step explanation:

$3,800 * 8.6% = $326.80

$3,800 + $326.80 = $4126.80  

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Step-by-step explanation:

option A corresponding angles

hope this answer helps you dear!...take care

Answer:

1717150

Step-by-step explanation:

Answer:1,717,150

Step-by-step explanation:

Range: lowest possible y-value to the highest possible y-value

In this case, the graph spans from -4 to 1, taking on all of the y-values between those two points. But, the graph also has a straight line at y=3.

Range: -4 < y <= 1 or {3}

Hope this helps!

Answer: whichever one is easiest to get by itself.

Step-by-step explanation:

Given that f(8) = 14, it means that the input 8 results in an output of 14. The question asks for the inverse of this function, f^-1(14), which means we need to find the input that results in an output of 14.

To do this, we need to use the fact that f^-1(f(x)) = x for any x in the domain of f(x). In other words, if we apply the inverse function to the output of f(x), we should get back the original input.

So, we can start by finding the inverse function of f(x). If y = f(x), then we have:

y = 2x - 6

x = (y + 6)/2

Therefore, the inverse function of f(x) is f^-1(x) = (x + 6)/2.

Now, we can use this inverse function to find f^-1(14):

f^-1(14) = (14 + 6)/2 = 10

Therefore, the input that results in an output of 14 for the original function f(x) is 10.

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Answer:

The graph will be an exponential function that crosses the y-axis at about (0, -4).

Answer:

Step-by-step explanation:

ab=ab (common)

angle d = angle c (isosceles prperty)

angle a = angle a (common)

there for the triangle is congruent so sides are congruent by CPCT

Given: 16.9 fluid ounces.

Required: To convert ounces to millilitres.

Explanation: Since 1 oz = 29.57352 ml. Hence to convert 16.9 ounces to millilitres, we need to multiply by 29.57352.

Thus we have

Final Answer: 499.8 millilitres.