Use the drop-down menus to complete the statements to match the information shown by the graph.

Use The Drop-down Menus To Complete The Statements To Match The Information Shown By The Graph.

Answers

Answer 1

Pool A is filling up slower than Pool B because slope of the graph of Pool A is less than that of the graph for Pool B.

The slope of the graph tells you the unit-rate in gallons per minute.

What is graph?

Graphs are an essential type of computing tool in mathematics. The nodes and edges that make up a graph are referred to as its elements. Whether "directed" or "undirected," nodes can only move through a graph in a single direction (either direction may be traversed from node to node).

In contrast to a chart, a graph is a representation of linked values in a multidimensional space. Graphs are helpful for examining the various relationships among specific data points.

A graph's search algorithm seeks out the shortest route between any two nodes. The best path is determined by an algorithm that considers the weight of each path on a graph.

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Use The Drop-down Menus To Complete The Statements To Match The Information Shown By The Graph.

Related Questions

solve and graph 2cos(2x) = x radians

Answers

The solutions of the equation 2cos(2x) = x are (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)

How to solve the equation?

The equation is given as:

2cos(2x) = x

Split the equation as follows:

y = 2cos(2x)

y = x

Next, we plot the graph of y = 2cos(2x) and y = x (see attachment)

From the attached graph, y = 2cos(2x) and y = x intersect at the following points

(x, y) = (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)

Hence, the solutions of the equation 2cos(2x) = x are (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)

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Given the functions f(x) = x3 + x2 – 3x + 4 and g(x) = 2^x– 4, (Consider domain, range, x-intercepts, and y-intercepts.)

Answers

The first function is a type of cubic function and the second function is a type of linear function. The key feature(s) do f(x) and g(x) have in common as they both have value of domain and range as (-∞, ∞).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function given in the problem is:

f(x) = x³ + x² – 3x + 4

The highest degree (power) of this function is 3. Thus, this function is a type of cubic function.

The second function given in the problem is:

g(x) = 2x – 4

The highest degree (power) of this function is 1. Thus, this function is a type of linear function.

Both the function has the value of domain and range from -∞ to ∞ (-∞,∞).

Thus, the first function is a type of cubic function  and second function is a type of linear function. The key feature(s) do f(x) and g(x) have in common as they both have value of domain and range as (-∞, ∞).

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solve the equation 13Z/Z+1 =11-3i, Z£C where Z=X+yi X&Y£R?​

Answers

Presumably you mean the equation

[tex]\dfrac{13z}{z+1} = 11-3i[/tex]

Observe that for [tex]z\neq-1[/tex],

[tex]\dfrac{13z}{z+1} = \dfrac{13(z+1) - 13}{z+1} = 13 - \dfrac{13}{z+1}[/tex]

so we can simplify the equation to

[tex]13 - \dfrac{13}{z+1} = 11 - 3i \implies \dfrac{13}{z+1} = 13 - (11 - 3i) = 2+3i[/tex]

Multiply both sides by [tex]\frac{z+1}{2+3i}[/tex].

[tex]\dfrac{13}{z+1}=2+3i \implies \dfrac{13}{2+3i} = z+1 \implies z = \dfrac{13}{2+3i} - 1[/tex]

Rationalize the denominator by introducing its complex conjugate.

[tex]z = \dfrac{13(2-3i)}{(2+3i)(2-3i)} - 1 = \dfrac{26-39i}{2^2+3^2} - 1 = \boxed{1 - 3i}[/tex]

Kristina wants to invest $6200 in a savings account that pays 7.6% simple interest. How long will it take for this investment to double in value? Round your answer to the nearest tenth.

Answers

The number of years it would take the investment to double in value is 13.2 years.

How long will it take for the investment to double?

When the amount doubles, the interest earned would be $6200.

Time = interest earned / (amount invested x simple interest)

$6200 / (6200 x 0.076) = 13.2 years

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Select the correct answer.
What is the range of the function shown in the graph?

Answers

keeping in mind that the range is vertical values covered by the function, Check the picture below.

Eddie built the ramp shown to train his puppy to do tricks.
The dimensions are
25 in.15 in.20 in. 20 in.20 in. 23 in.25 in
HELP PLEASE!!!

Answers

The surface area of the trapezoidal prism is: 4,190 in.².

What is the Surface Area of a Trapezoidal Prism?

Surface area = (b1+b2)h + PH, where:

Length of the base of the trapezoid (b1) = 20 in.Length of the base of the trapezoid (b2) = 60 in.Height of the trapezoid (h) = 15 in.Perimeter of the trapezoid (P) = 60 + 25 + 20 25 = 130 in.Height of the prism (H) = 23 in.

Plug in the values

Surface area = (b1+b2)h + PH = (20 + 60)15 + (130)(23)

Surface area = 4,190 in.²

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An equestrian club orders magazine subscriptions for new members.
Last year they had 32 new members and spent $624 on subscriptions.
Use the equation 32m = 624 to find the cost of each subscription.
Enter your answer in the box.

Answers

Answer:

$19.50

Step-by-step explanation:

Dividing both sides by 32, we get $19.50.

Find QR.
A).12
B).-8
C).9
D).6

Answers

Answer:

D. 6

Step-by-step explanation:

Let's first find x :-

[tex]\sf 3 + 2x + 22 = x + 17[/tex]

[tex]\sf 2x + 25 = x + 17[/tex][tex]\sf 2x - x = 17 - 25[/tex][tex]\sf x = - 8[/tex]

Now that we found x, let's find QR :-

QR = 2x + 22

[tex]\sf QR = 2( - 8) + 22[/tex][tex] \sf - 16 + 22[/tex][tex]\sf 6[/tex]

Therefore, QR = 6 !!!

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of T Q is 16 and the length of R Q is 20.
What is the length of Line segment S R?

9 units
12 units
15 units
18 units

Answers

The length of the line segment SR is 15 units.

How to find the length of a line segment?

In Δ SRQ as seen in the attached image, we see that;

∠SRQ is a right angle

SQ is the hypotenuse

RT ⊥ SQ

Thus, by triangular rules, we know that;

(RQ)² = TQ × SQ

RQ = 20 units and TQ = 16 units

Thus;

(20)² = 16 × SQ

400 = 16 × SQ

SQ = 400/16

SQ = 25 units

By using Pythagoras theorem in Δ SRQ, we have;

(SR)² + (RQ)² = (SQ)²

RQ = 20 units and SQ = 25 units

Thus;

(SR)² + (20)² = (25)²

(SR)² + 400 = 625

(SR)² = 225

SR = √225

SR = 15 units

The length of the line segment SR is 15 units.

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(02.04 LC)

Determine the equation of the line shown in the graph:

graph of a vertical line with an x intercept of negative 1

y = −1
y = 0
x = −1
x = 0

Answers

Answer:

x = - 1

Step-by-step explanation:

the equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through

the line passes through the x- intercept of - 1 , then

x = - 1 ← equation of vertical line

Translate the following phrase into algebraic expression , the number of dollars Paul owes minus 32

Answers

Using a system of equations, the translated expression is:

P - 32.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variable is the number of dollars Paul owes, which is P. That amount minus 32 is represented by:

P - 32.

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PLEASE HELPPPPPPPPPPPP!!!!!!! IM BEING TIMEDDDDDD

Answers

Answer:

119°

Step-by-step explanation:

the angles of a triangle make 180° (so does a straight line) therefore

180 (triangle) = a + c + 51

to find c:

180 (straight line) = 112 + c

c = 180 - 112

c = 68°

now we have

180 (triangle) = a + 68 + 51

to find a:

a = 180 - (68 + 51)

a = 180 - 119

a = 61°

to find b:

180 (straight line) = 61 + b

b = 180 - 61

b = 119°

Bruce pitches for his little brother's baseball team. He has observed that the number of pitches a batter hits varies and is given by the function f(x) = x – 11, where x is the number of pitches and f(x) is the number of hits. If batters get {4, 12, 14, 27, 42} hits, how many pitches did Bruce throw? A. {13, 21, 24, 26, 44} B. {17, 24, 27, 28, 35} C. {20, 27, 32, 33, 45} D. {15, 23, 25, 38, 53}

Answers

Answer:

D.{15,23,25,38,53}

Step-by-step explanation:

Replace f(x) with any other variables of your choice.

Substitute the value of the variable for the given set of hits

that is {4,12,14,27,42}

Solve for x for each value of the variable from the above set

Put all the solution for x in a set that is inside {,} brackets.

The correct option should be D

Lindsay is checking out books at the library, and she is primarily interested in mysteries and nonfiction. She has narrowed her selections down to six mysteries and nine nonfiction books. If she randomly chooses three books from her selections, what’s the probability that they will all be nonfiction? Enter a fraction or round your answer to 4 decimal places, if necessary.
Please explain in detail

Answers

The probability that all 3 books would be nonfiction is 0.1846.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that all 3 books would be nonfiction = (number of non fiction books / total number of books) x (number of non fiction books - 1 / total number of books - 1) x (number of non fiction books - 2 / total number of books - 2)

9 /15 x 8/14 x 7/13 = 0.1846

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A grove of redwood tree has an estimated 3,400,000 board feet of lumber at the
start of 2022. If redwoods grow at an exponential rate of 9% each year, then what
would be the growth formula? Within which year will the grove reach one billion board
feet of lumber?

Answers

The exponential growth formula is 3,400,000 x (1.09^t).

The year in which the grove would reach one billion board feet is  63.16 years.

What is the exponential growth formula?

The exponential growth formula usually has this form:

FV = P (1 + r)^n

FV = Future growth P = Present growth R = rate of growthN = number of years

3,400,000 x (1.09^t).

The year in which the grove would reach one billion board feet  = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years

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100 POINTS
Construct a horizontal line that passes through the intersection of lines AC and BC at point C. Add a vertical line segment connecting the horizontal line to line AC called FG and another vertical line connecting the horizontal line to line BC called DE.
Complete the proof.
LOOK AT IMAGE PLEASE

Answers

The blanks are as follows:

Angle addition postulateSubtraction property of equalityCorresponding sides of similar triangles are proportionalMultiplication property of equality

Explain how to draw a line segments that measures 2 7/16 inches.

Answers

The line segment which represents 2 7/16 inches should first be drawn with the use of a ruler.

What is a Ruler?

This is referred to an instrument which is used to measure distances between points or draw straight lines and also usually graduated in inches.

On the inches graduation, the zero mark should be located and the 1/16 inch which is found before the half-inch mark between 2 and 3 inches. When this is done, a line should be drawn to meet both points which will therefore measure 2 7/16 inches long.

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DEFG is a rumbus. Find the vaule

Answers

Step-by-step explanation:

in a rhombus (not rumbus !) all sides are equally long.

that means

7x - 4 = 3x + 12

4x = 8

x = 2

Answer:

Step-by-step explanation:

The sides of a square are equal to each other, it is with the same with rhombus.

With this information, we can Say that [tex]DE[/tex] is equal to line [tex]GD[/tex], with
[tex]DE =7x-4GD=3x+12[/tex]
[tex]7x-4=3x+12\\[/tex]
Take [tex]3x[/tex] from both sides.
[tex]4x-4=12[/tex]
Add 4 to isolate X
[tex]4x=16[/tex]
Divide by 4
[tex]x=4\\[/tex]

So we can say that the value of [tex]x[/tex] is 4

Solve the following system of equations.

d + e = 6
d – e = 4


infinite number of solutions

infinite number of solutions

(5, 1)

(5, 1)

no solution

no solution

(3, –1)

(3, –1)

Answers

Answer: (5,1)

Step-by-step explanation:

Adding the equations gives 2d=10, and thus d=5.

So, it follows e=1.

Therefore, the solution is (5,1).

The solution is (5,1)

Given that d+e =6 and d-e =4

We need to find the solution of the given equations

Elimination method is used to eliminate a variable in an equation to find the value of another variable

Now here ,

We we will solve the equation i.e

d+e = 6

d-e = 4

Solving this equation We get,

2d = 10

Therefore,

d= 5

Now substituting the value of d in equation d+e =6

therefore,

5+e =6

Therefore e = 1

Hence the solution is (5,1)

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The sum
of three numbers is 24. If two numbers are 16 and 22, what is the third?

Answers

Answer:

-14

Step-by-step explanation:

[tex]16+22+x=24\\38+x=24\\x=-14[/tex]

pls help giving all my points!! Find the probability of “landing” in the shaded region of the figures below. Round your answer to the nearest hundredth.
Big circle r = 25 cm
Small circle r = 8 cm

Answers

The probability of landing on the shaded region of the figure is 0.10

How to find the probability of landing on the shaded region?

The probability of landing on the shaded region can be calculated as follows;
area of the bigger circle = πr² = 3.14 × 25² = 1962.5 cm²

area of the smaller region = πr² = 3.14 × 8²  = 200.96 cm²

Therefore,

the probability of landing on the shaded region of the figure = 200.96 / 1962.5

the probability of landing on the shaded region of the figure = 0.10

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Find the domain of the function. Express the exact answer using interval notation.

f(x) = 2/3x+8

Answers

Answer:

(-oo, -8/3) U (-8/3, oo)

Step-by-step explanation:

Hope this helps.

The domain of the equation f(x) = 2/(3x + 1) is (-∝, -8/3) U (-8/3, ∝)

How to calculate the domain of the equation?

From the question, we have the following parameters that can be used in our computation:

f(x) = 2/(3x + 1)

The above equation is a rational function

The rule of a function is that

The domain is the set of all input numbers

For the domain, we set the denominator not equal to 0

So, we have

3x + 8 ≠ 0

Evaluate

x ≠ -8/3

When represented as interval notation, we have

Domain = (-∝, -8/3) U (-8/3, ∝)

Hence, the domain is (-∝, -8/3) U (-8/3, ∝)

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Which of the following graphs represents a function?

Answers

The third graph represents a function.

In a function, every input (x value) has exactly one output (y value). If even a single input has zero or two outputs, the graph does not represent a function.

A good way of testing this is using a vertical line. As you move a vertical line from left to right across a graph, it should always be touching exactly one point on the graphed line.

In this case, every graph fails this vertical line test except for the third graph, so the third graph represents a function.

A body and tackle with a velocity ratio of 5 is used to raise a mass of 50kg through a vertical distance of 20n at a steady rate if the effort is equal to 80n. Determine (a) distance moved by effort (b)the workdone by the effort in lifting the load (c)the losses in energy involve the operating in machine​

Answers

A. The distance moved by the effort is 100 m

B. The workdone by the effort in lifting the load is 8000 J

C. The losses in energy involve the operating in machine 1800 J

A. How to determine the distance moved by the effortVelocity ratio = 5Load distance = 20 mEffort distance =?

Velocity ratio = Effort distance / Load distance

5 = Effort distance / 20

Cross multiply

Effort distance = 5 × 20

Effort distance = 100 m

B. How to determine the work done by the effortEffort distance = 100Effort = 80 NWorkdone by effort =?

Workdone = force × distance

Workdone by effort = 80 × 100

Workdone by effort = 8000 J

C. How to determine the losses in the energy

We'll begin by calculating the workdone in lifting the load. This is illustrated below:

Mass (m) = 50 KgAcceleration due to gravity (g) = 9.8 m/s²Height (h) = 20 mWorkdone =?

Workdone = mgh

Workdone = 50 × 9.8 × 20

Workdone = 9800 J

Now, we can determine the energy lost as follow:

Workdone = 9800 JWorkdone by effort = 8000 JEnergy lost =?

Energy lost = 9800 - 8000

Energy lost = 1800 J

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Measure the angle in degrees.

Answers

Answer:

Angle is measured in degrees (°) and radians. It is formed between the two adjacent sides of a polygon. Every polygon has different sides and different numbers of angles. The formula to find the angles in degrees is useful in geometry and trigonometry. It is essential to understand other concepts of mathematics, such as arc, a central angle of the circle, etc.  

A full circle = 360°

A straight line = 180°

A semicircle= 180°

A Quarter circle = 90°

example

Given: Hypotenuse = 12

Perpendicular = 6

The trigonometry function to calculate the angle is given by:

sinA = 6/12

A = 30°

"You helped 3.6 customers per half hour yesterday."
Employee: "So I helped __________ customers in 7.5 hours yesterday."

Answers

Answer: 54

Step-by-step explanation:

So I helped 54 customers in 7.5 hours yesterday.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

You helped 3.6 customers per half hour yesterday.

That means,

for one hour:

Using multiplication

(3.6) x 2 per 1/2 x 2 hours

7.2 per hour.

Therefore,

if n hours so,

(7.2) per n hours

Here, n = 7.5

(7.2) x (7.5) per 7.5 hours

54 customers per 7.5 hours.

Therefore, I helped 54 people in 7.5 hours.

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Grace and Jack are playing a game with a gigantic bucket of markers. Jack took a random sample of markers from the bucket and counted 12 yellow markers, 37 blue markers, and 1 red marker. Use the observed frequencies to create a probability model for the color of the next randomly selected marker from the gigantic bucket of markers. Input your answers as fractions or as decimals rounded to the nearest hundredth.

Answers

Using the given frequencies, the probabilities for the next color chosen is:

P(yellow) = 0.24.P(blue) = 0.74.P(red) = 0.02

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

There were 50 markers, of which 12 were yellow, 37 blue and 1 red, hence the probabilities for each are given as follows:

P(yellow) = 12/50 = 0.24.P(blue) = 37/50 = 0.74.P(red) = 1/50 = 0.02

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Find the value of x.
B
A
2
30°
5
30°
5
x = [?]
X
C
D

Answers

4.4

Not sure if I'm right but I think it's 4.4. If I'm wrong I'm sorry, if someone can tell me if ik right that would be great. <3

m(t)=120e−0.018t
How much mass remains after 50 years? Round to 2 decimal places.

Answers

The mass that would remain after 50 years is 48. 79 kilograms

How to determine the amount

It is important to note that half - life is the time it takes for amount of a substance to reduce to half of its initial value.

Given the equation

m(t)=120e−0.018t

Where

m(t) is the amount = unknown

t = time = 50 years

[tex]m(t) = 120e^0^.^0^1^8^t[/tex]

Substitute the value into the equation

[tex]m(t) = 120e^0^.^0^1^8^(^5^0^)[/tex]

[tex]m(t) = 120e^-^0^.^9[/tex]

Find the exponential value

[tex]m(t) = 48.788399[/tex]
m(t) = 48. 79 kilograms in 2 decimal places

Thus, the mass that would remain after 50 years is 48. 79 kilograms

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Jan and Jo live 1,170 miles apart. At the same time, they start driving toward each other on the same road. Jo’s constant rate is 60 mph. Jan’s is 70 mph. How long will it take them to meet?
A. 8 hours
B. 9 hours
C. 16 hours
D. 19 hours

Answers

Answer: B. 9 hours

Step-by-step explanation:

Question analysis (Optional if you can understand the question)

Since they are 1170 miles apart, with their speed, the question is asking how long would it take them to travel 1170 miles together.

In other words, the distance that Jo and Jan together add up to 1170 miles.

Given information

Total distance = 1170 miles

Jo's rate = 60 mph

Jan's rate = 70 mph

Set variables

Let x be the time they took to meet each other

Set equation

60x + 70x = 1170

Solve equation

130x = 1170

Divide 130 on both sides

130x / 130 = 1170 / 130

[tex]\boxed{x=9 \: hrs}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

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