Writing and evaluating a function modeling continuous exponential growth or decay given two outputs

Answer:

5% - 5000

8% - 15000

Step-by-step explanation:

trial and error or use pv formula either way works

Answer:

it would be 4

There are no solutions to the system of inequalities Option (d)

Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.

A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is

y > 3x + 1

y < 3x - 3

The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.

The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.

Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.

To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.

When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.

There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.

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Complete Question :

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

Options:

a)Only values that satisfy y > 3x + 1 are solutions.

b)Only values that satisfy y < 3x – 3 are solutions.

c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.

d)There are no solutions.

Answer:

D

Step-by-step explanation:

Answer:

(2,7)

Step-by-step explanation:

Plug in 2 for x for f(x)

\(4(2) - 1 = 7\)

So the answer will be (2,7)

Answer:

- The store sold 733 gallons of ice cream last month.

- The store sold 748 pounds of broccoli last month.

Step-by-step explanation:

Given

\(Ice\ Cream = 623\)

\(\%\ Ice\ Cream = 15\%\)

\(Broccoli = 912\)

\(\%\ Broccoli = 22\%\)

Solving (a): Gallons of Ice Cream

Let Gallons sold last month be G1; Gallons sold this month be G2;

The relationship between both is:

\(G2 =G1 - 15\% * G1\)

Substitute 623 for G2

\(623 =G1 - 15\% * G1\)

\(623 =G1 - 0.15 * G1\)

\(623 =G1 - 0.15 G1\)

\(623 =0.85 G1\)

Divide through by 0.85

\(G1 = 623/0.85\)

\(G1 = 732.941176471\)

\(G1 = 733\)

Solving (b): Pounds of Broccoli

Let Pounds sold last month be P1; Pounds sold this month be P2;

The relationship between both is:

\(P2 =P1 + 22\% * P1\)

Substitute 912 for P2

\(912 =P1 + 22\% * P1\)

\(912 =P1 + 0.22 * P1\)

\(912 =P1 + 0.22 P1\)

\(912 =1.22 P1\)

Divide through by 1.22

\(P1 = 912/1.22\)

\(P1 = 747.540983607\)

\(P1 = 748\)

Answer:

Likely

Step-by-step explanation: Mathematically it is likely because there are 4 options certain is the thing that will defiantly happen so it would be 4/4. The impossible thing would be 1/4 this is because 1/4 is the smallest so it is obviously going to be impossible. Likely would be 3/4 and unlikely would clearly be 2/4

Answer:

it is likely

Step-by-step explanation:

it is not certant because it is not 4/4 but it is not impossible because its not 0/4 so the answer is likely 3/4

the volume of the cone to be filled up if it has the same radius and height with is  376. 6 cm³

To determine the volume, we need to know the formula for the volume of a cone.

The formula for the volume of a cone is expressed as;

V = πr²h/3

Such that the parameters are expressed as;

Substitute the values, we have;

Volume = 3.14 × 6² × 10/3

Find the square value

Multiply the value, we have;

Volume = 1130. 4/3

Divide the values

Volume = 376. 6 cm³

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Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

Given that:

Endpoints of diameter, (13, -1) and (15, 9)

The equation of the circle when endpoints of diameter are given is written as,

(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0

The equation of the circle is calculated as,

(x - 13)(x - 15) + (y + 1)(y - 9) = 0

x² - 28x + 195 + y² - 8y - 9 = 0

x² + y² - 28x - 8y + 186 = 0

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

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A triangular frame has sides that measure 15-7, 20'-4 and 26-2". What is the total length of the three sides?

Remember that

1 ft =12 inches

Convert all the measure to inches

so

15' 7 "=15(12)+7=187 in

20' 4"=20(12)+4=244 in

26' 2"=26(12)+2=314 in

Answer:

the answer for this is 11x

Step-by-step explanation:

brainz plz

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer: y=x³+2 or f⁻¹(x)=x³+2

Step-by-step explanation:

To find the inverse of the radical function, we replace y with x and x with y. Then, you solve for y.

\(y=\sqrt[3]{x-2}\)                        [replace y with x and x with y]

\(x=\sqrt[3]{y-2}\)                        [cube both sides to cancel out the cubed root]

\(x^3=y-2\)                          [add both sides by 2]              

\(x^3+2=y\)

Now that we have switched the variables and solved for y, we know that the inverse function is y=x³+2 or f⁻¹(x)=x³+2.

Answer:

f^-1(x)=x^3+2

Step-by-step explanation:

By answering the above question, we may state that Romania $766.51 $646.96.80 leu 0.940 and by equation United States $4,141.00 $1,242.20 dollars 0.000 $4,141

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematics statement that proves the equality of two formalisms is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two statements that are inscribed on opposite sides of a letter. Frequently, the trademark and the particular software are identical. like in 2x - 4 = 2, for example.

z = (x - μ) / σ

where x is the $1,500 wage, is the average income across all countries, and is the standard deviation across all countries.

Country typical monthly income (U.S. dollars) Normative deviation (U.S. dollars) original money Z score for a mean income of $1,500 in dollars

Republic of the Czech 1,059 korunas, or $158.80, $1,096.89 -0.913

Latvia $790 Lats $118.60 $1,515.77 -0.877

$2,245 $673.60 in Korean Won $1,956.24 -0.498

Romania $766.51 $646.96.80 leu 0.940

United States $4,141.00 $1,242.20 dollars 0.000 $4,141

As $1,500 per month for Romania corresponds to the highest z score of 0.94, suggesting that the income is rather high compared to Romania's mean wage, the computer programmer from Romania will probably be the most happy with the offer.

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Answer:

p = - 5

Step-by-step explanation:

–2.5p – 20 = 9p + 37.5

combine like terms:

- 2.5p - 9p = 37.5 + 20

simplify:

- 11.5p = 57.5

p = 57.5 / -11.5

p = - 5

Answer:

The answer is p = -5

Step-by-step explanation:

-2.5p - 20 = 9p + 37.5

(move constants to one side by adding 20 to both sides)

-2.5p = 9p + 57.5

(move all terms with the "p" variable to one side by subtracting 9 from both sides)

-11.5p = 57.5

(divide both sides by -11.5 to isolate the variable)

p = -5

Answer:

The Sum of 2 Numbers is 17 & Their Product is 70. Find the Numbers -

Step-by-step explanation:

The Factors of 70 are - 1, 2, 5, 7, 10, 14, 35 & 70

Now, Find the two Factors, when added gives the Sum as 10 & the Product of Multiplication as 17 -

From the given Statement, we can see that when the Factors 7 & 10, when Added gives the Sum as 17 and Their Product as 70 *(7 + 10 = 17 ; 7 × 10 = 70)

Therefore, the two Numbers are 7 & 10

Answer:

\(x=50\)

Step-by-step explanation:

\(log(2x)=2\\\\10^{log(2x)}=10^2\\\\2x=100\\\\\frac{2x}{2}=\frac{100}{2}\\ \\ x=50\)

Answer:

f(x)= -25x+4

y-inter x=0

y= -25(0)+4

=4

x-inter y=0

0= -25x+4

-4= -25x

x=4/25

Answer:

Hope you can understand my handwriting though

The required 1-st section: 6 ft;  2-nd section: 6+9 = 15 ft;  3-rd section: 4*6 = 24 ft.

The 40 or 80 ft. (12-24 m) lengths of steel pipe sections, or joints, are trucked to the building site and strung out along the path in the locations where they are to be welded together.

The 45-foot conduit is divided into three pieces. The middle-sized section is 9 feet longer than the shortest segment, and the longest section is 4 times as long as the shortest. Finish the design.

x + (x+9) + 4x = 45,   or

6x = 45-9

6x = 36,

x = 6.

Thus,1-st section: 6 ft;  2-nd section: 6+9 = 15 ft;  3-rd section: 4*6 = 24 ft.

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Complete Question:

A 45 foot pipe is cut into three sections. The longest section is 4 times as long as the shortest, and the middle-sized section is 9 feet longer than the shortest. Complete the diagram.

Answer:

it should be 3 units to the left

Step-by-step explanation

table takes alot of time that i dont have

The third side of the triangle have to greater than the difference of the two provided sides.

A triangle is polygon with 3 edges and 3 vertices.

So possible answers could be:

Answer:

A- most of the data in each plot is greater than 48

Step-by-step explanation:

took the test

Answer:

a

Step-by-step explanation:

a

Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

Equation is a mathematical statement that expresses two expressions as equal. It consists of two expressions separated by an equal sign (=). An equation is used to solve for a unknown value by using known values and following the rules of algebra and arithmetic. Equations can be used to solve for a single unknown, multiple unknowns, and even non-numeric values.

Given that the total cost for parking and four tickets to a baseball game is $175.00.

$25 is the parking fee.

4 tickets cost $175 - $25.

Suppose that each ticket costs t.

t =($175 - $25)/4

Each ticket costs $37.5.

The equation follows.Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

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a) A table and a graph for this situation is shown in the image below.

b) You can use the table or graph to predict how many weeks it will take Martha to earn enough money to pay for the new computer by comparing the week when her savings are both equal.

c) Since the x-value and y-value in both the table and the graph increase simultaneously, it is an example of linear growth.

In this scenario, the variable x would represent the number of weeks while the variable y would represent the total amount of savings. Since Martha received $200 for her birthday and makes $150 each week, a linear equation in slope-intercept form that models the situation is given by;

y = mx + c

y = 150x + 200

Next, we would use an online graphing calculator to make a table and a graph for this situation as shown in the image attached below.

Part b.

The table and the graph both have the total amount of savings (y) equal to $1,850 when x is equal to 11 weeks. This ultimately implies that, it would take Martha between 11 weeks to save enough money to buy this new computer.

Part c.

By critically observing the table and the graph, we can logically deduce that there is a linear relationship between the variables because both the x-value and y-value increase simultaneously.

Therefore, this is an example of a linear growth.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The various answers to the question are:

a)

A number of extension lines needed to accommodate $90 in calls immediately:

Use the calculation for busy k servers.

\($$P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$$\)

The probability that 2 servers are busy:

The likelihood that 2 servers will be busy may be calculated using the formula below.

\(P_{2}=\frac{\frac{\left(\frac{20}{12}\right)^{2}}{2 !}}{\sum_{i=0}^{2} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$\)

Hence, two lines are insufficient.

The probability that 3 servers are busy:

Assuming 3 lines, the likelihood that 3 servers are busy may be calculated using the formula below.

\(P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{2} \frac{\left(\frac{\lambda}{\mu}\right)^{i}}{i !}}$ \\\\$P_{3}=\frac{\frac{\left(\frac{20}{12}\right)^{3}}{3 !}}{\sum_{i=0}^{3} \frac{\left(\frac{20}{12}\right)^{1}}{i !}}$$\approx 0.1598$\)

Thus, three lines are insufficient.

The probability that 4 servers are busy:

Assuming 4 lines, the likelihood that 4 of 4 servers are busy may be calculated using the formula below.

\(P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$ \\\\$P_{4}=\frac{\frac{\left(\frac{20}{12}\right)^{4}}{4 !}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{7}}{i !}}$\)

Generally, the equation for is  mathematically given as

To answer 90% of calls instantly, the organization needs four extension lines.

b)

The probability that a call will receive a busy signal if four extensions lines are used is,

\(P_{4}=\frac{\left(\frac{20}{12}\right)^{4}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{1}}{i !}} $\approx 0.0624$\)

Therefore, the average number of extension lines that will be busy is Four

c)

In conclusion, the Percentage of busy calls for a phone system with two extensions:

The likelihood that 2 servers will be busy may be calculated using the formula below.

\(P_{j}=\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}$$\\\\$P_{2}=\frac{\left(\frac{20}{12}\right)^{2}}{\sum_{i=0}^{2 !} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$\)

For the existing phone system with two extension lines, 34.25 % of calls get a busy signal.

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Answer:

Datas are not given...............

Answer:

there is no data? pls give data

Answer:

6

Step-by-step explanation:

radius is 1/2 the diamiter

Answer:

Step-by-step explanation:

Answer: 6 inches.

Explanation:

Since the radius is 3 inches, the diameter will be twice the size of the radius. The radius is half the width of a circular object. The diameter is the full width. Therefore Omar's lollipop has a diameter of 6 inches.