please help answer all please!!!!The graph below represent a trip taken by bicycle. Use the graph to answer questions


11. During the trip the cyclist stops for a time. During which labeled section-A, B, C, or D- did he stop? ________

12. During which labeled section was he traveling the slowest? _______

13. During which labeled section was he traveling the fastest? ______

14 Calculate the speed of the cyclist during section D _______

15. How far away was the cyclist when he turned around and headed home? _______

Please Help Answer All Please!!!!The Graph Below Represent A Trip Taken By Bicycle. Use The Graph To

Answers

Answer 1

Answer:

Part 11) The cyclist stops for a time during the section B

Part 12) He traveling slowest in section A

Part 13) He traveling fastest in section C

Part 14) The speed in section D is 20 km/h

Part 15) The cyclist was 60 km from home when he turned around

Step-by-step explanation:

we know that

The speed is the ratio of the distance by the time

s=d/t

The slope of the graph is equal to the speed of the cyclist

Part 11. During the trip the cyclist stops for a time. During which labeled section-A, B, C, or D- did he stop?

The cyclist stops for a time during the section B

Because, during section B the distance is a constant (d=30 km)

therefore

The speed is equal to zero (Remember that the slope of a horizontal line is equal to zero)

Part 12. During which labeled section was he traveling the slowest?

Find the slope (speed) in each section

Find the slope in section A

Let

A(0,0) and B(4,30)

the slope is equal to

m=(30-0)/(4-0)=7.5 km/h

Find the slope in section B

Is a horizontal line

therefore

the slope is equal to

m=0 km/h

Find the slope in section C

Let

C(6,30) and D(7,60)

the slope is equal to

m=(60-30)/(7-6)=30 km/h

Find the slope in section D

Let

E(7,60) and F(10,0)

the slope is equal to

m=(0-60)/(10-7)=-20 km/h ---> is negative because in this section he turned around

therefore

He traveling slowest in section A

Part 13. During which labeled section was he traveling the fastest?

Remember part 12)

Slope in section C

Let

C(6,30) and D(7,60)

the slope is equal to

m=(60-30)/(7-6)=30 km/h ----> is the greater slope

therefore

He traveling fastest in section C

Part 14. Calculate the speed of the cyclist during section D

Remember part 12)

Slope in section D

Let

E(7,60) and F(10,0)

the slope is equal to

m=(0-60)/(10-7)=-20 km/h ---> is negative because in this section he turned around

therefore

The speed in section D is 20 km/h

Part 15. How far away was the cyclist when he turned around and headed home

Observing the graph

we know that the cyclist turned around at point (7,60)

therefore

The cyclist was 60 km from home when he turned around


Related Questions

Which measure of central tendency is least appropriate for describing the given data set?

6, 6, 6, 7, 8, 8, 29

mode
median
mean

Answers

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

6, 6, 6, 7, 8, 8, 29

We will calculate the measures of central tendency:

1) Mode - the most occurring element in the data set.

So, Mode = 6

2) Median - the middle value of organised data set

So, Median = 7

3) Mean - the average of all data set

So, Mean = [tex]\dfrac{6+6+6+7+8+8+29}{7}=\dfrac{70}{7}=10[/tex]

So, we can see that Mode and Median are giving the closest value to each other, whereas Mean is giving the farthest value as compared to rest.

Hence, Mean is the least appropriate for describing the given data set.

Thus, Third option is correct.

$2250 is deposited in an account that pays 6 annual interest compounded quarterly. find the balance after 10 years

Answers

Answer:

[tex]\$4,081.54[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ P=\$2,250\\ r=0.06\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$2,250(1+\frac{0.06}{4})^{4*10}=\$4,081.54[/tex]  

Explain how direct variation equations and inverse variation equations are different.

Answers

Answer:

For direct variation, use the equation y = kx, where k is the constant of proportionality. For inverse variation, use the equation y = k/x, again, with k as the constant of proportionality. These problems might use the word 'proportion' instead of 'variation,' but it means the same thing.

Step-by-step explanation:

Final answer:

Direct and inverse variation equations have distinct relationships between variables: direct variation involves both variables increasing at a constant rate, while inverse variation involves one variable decreasing as the other increases.

Explanation:

Direct variation equations and inverse variation equations are different in their structures and relationships between variables. In direct variation equations, as one variable increases, the other also increases at a constant rate, while in inverse variation equations, as one variable increases, the other decreases at a constant rate.

For example, in a direct variation equation like y = kx, as x increases, y increases at a constant rate determined by k. In contrast, in an inverse variation equation like y = k/x, as x increases, y decreases at a constant rate determined by k.

10 ounces of spicy popcorn is 2.50. write an equation that represents this equation. use p for ounces of popcorn and c for cost in dollars.

Answers

Answer:

CP/P

Step-by-step explanation:

E.g Q.If 10 ounces of spicy popcorn is $2.50, how much is 20 ounces?

     A.10 ounces=$2.50    

        20 ounces=?20x2.50/10=$5  

So, the cost of 20 ounces of spicy popcorn is $5

Answers:

c=0.25p

p=4c

c=.25p

c=1/4p

Find the area of a circle that has a diameter of 11 inches. Approximate as 3.14. Round your answer to the nearest hundredth

Answers

formula for area of circle is

[tex]\pi {r}^{2} [/tex]

the diameter is 2 times the radius.

so if diameter is 11 then radius is 5.5

so then the answer will be 94.985

Convert the angle 0=133π/72 radians to degrees

Answers

The result is 332.5 degrees.

To convert an angle from radians to degrees, we use the conversion factor that 1 radian = 180/π degrees. In this case, the angle is 133π/72 radians.

So, to convert 133π/72 radians to degrees, we multiply by the conversion factor:

(133π/72) * (180/π) degrees.

Solving this gives us the angle in degrees:

133 * 180 / 72 = 332.5 degrees.

The measure of ECD is 35. What is the measure of EOD?

Answers

Answer is 70

Angle *2 = 35*2 = 70

The measure of angle EOD, formed by arc ED at the center O, is 70 degrees, given that angle ECD on the same arc is 35 degrees.

let's break down the step-by-step calculation for finding the measure of EOD, given that ECD is 35 degrees:

Recall that for any angle formed by an arc at the center of a circle (EOD in this case), it is twice the measure of the angle formed by the same arc at any point on the circumference (ECD).

Given that ECD is 35 degrees, we will use this information to find the measure of EOD.

Apply the rule that EOD = 2 × ECD.

Substitute the value of ECD into the formula: EOD = 2 × 35.

Calculate the result: EOD = 70 degrees.

Therefore, the measure of EOD, which is the angle made by the arc ED at the center O, is 70 degrees.

To know more about angle:

https://brainly.com/question/30147425

#SPJ2

What is the surface area of a cube with side lengths of 1/7

Please help

Answers

Answer: 0.122449

Step-by-step explanation:

If one side is 1/7, first convert that into a decimal, which is 0.14286. Than square that 0.14286 x 0.14286= 0.020408. That’s the area of one square. Now multiply that by 6 (the number of sides in a cube) and you get 0.122449.

Which is the vertex of x 2 + 10x = - 17?

Answers

Answer:

(-5,-8)

Step-by-step explanation:

Given in the question an equation,

x² + 10x = - 17

x² + 10x + 17 = 0

here a = 1

        b = 10

        c = 17

Step 1

Find the value of x using the formula

x = -b/2a

x = -10/2

x = -5

Step 2

Find the value of y by plugging x = -5 in the equation above

(-5)² + 10(-5) + 17 = y

25 - 50 + 17 = y

y = -8

vertex (h,k) = (-5,-8)

Can you help me find the surface area?

Formula-

Area of base + Area of lateral faces.
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Answers

Answer:

[tex]\large\boxed{SA=397.5\ in^2}[/tex]

Step-by-step explanation:

The formyla of an area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

b - base

h - height

Area of a base:

[tex]B=\dfrac{(15)(13)}{2}=97.5\ in^2[/tex]

Area of one triangle of lateral area:

[tex]L=\dfrac{(15)(10)}{2}=75\ in^2[/tex]

The Surface Area:

[tex]SA=B+4L\to SA=97.5+4(75)=397.5\ in^2[/tex]

Simplify the expression using the rules for exponents

Answers

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \cfrac{(a^{-3}b^{-1}c^{-5})^{-2}}{(a^5b^4c^2)^5}\implies \stackrel{\textit{distributing the exponent}}{\cfrac{(a^6b^2c^{10})}{(a^{25}b^{20}c^{10})}}\implies \cfrac{c^{10}c^{-10}}{a^{25}a^{-6}b^{20}b^{-2}} \\\\\\ \cfrac{c^{10-10}}{a^{25-6}b^{20-2}}\implies \cfrac{c^0}{a^{19}b^{18}}\implies \cfrac{1}{a^{19}b^{18}}[/tex]

He uses the slope of 2

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 2

The line passes through the y- axis at (0, 3) ⇒ c = 3

y = 2x + 3 ← equation of line

Based on data set shown which of the following is a true statement? -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3. Mean = mode, mean less than median , mode less than median

Answers

Answer:

"Mean = Mode"

Step-by-step explanation:

Let's find the mean, median, and mode of the number set.

-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3

Mean:

this is the average. We add up all of the numbers and divide by the number of numbers (11).

Mean = [tex]\frac{-1+-1+0+1+1+1+1+2+2+2+3}{11}\\=\frac{11}{11}\\=1[/tex]

the mean is 1

Median:

this is the "middle" number when arranged from least to greatest. From 11 numbers, the 6th number is the middle one. We can see from the arrangement below, that "1" is the middle number.

the median is 1

Mode:

this is the number that occurs the "most". Looking at the numbers, "1" occurs 4 times, which is the most. So

mode is 1

From the 3 choices, the first choice is right "mean = mode".

if f(x)=-2x-4 then f^-1(x)=

Answers

Answer:

y = [tex]\frac{x+4}{-2}[/tex] or [tex]\frac{-x}{2}[/tex] -2

Step-by-step explanation:

This question is asking to find the inverse of the equation therefore you will have to interchange x and y

ie : x= -2y-4

THEN solve for y ( perform opposite operation )

x = -2y -4

(take -4 to the other side ) [it will be a +4 ]

x+ 4 = -2y

NOW take -2 to the other side [ you will divide everything on the left by -2]

[tex]\frac{x+4}{-2}[/tex] ( this could be your final answer )

OR

simplify

( NOT complusory)

[tex]\frac{-x}{2} - 2[/tex]

Final answer:

To find the inverse function of f(x) = -2x - 4, switch x and y and solve for the new y to get the inverse function f¹(x) = -0.5x - 2.

Explanation:

The question asks to find the inverse function of f(x) = -2x - 4. To find the inverse, we switch the roles of x and y in the equation and solve for the new y. Here are the steps:

Write the function as y = -2x - 4.

Swap x and y to get x = -2y - 4.

Solve for y to find the inverse function. Add 4 to both sides to get x + 4 = -2y, and then divide by -2 to find y = -0.5x - 2.

Therefore, the inverse function, f⁻¹(x), is y = -0.5x - 2.

Can someone help me please

Answers

The answer is phoenix is located at (-7,-10) it is written like this because you always have the x coordinate then the y coordinate

Answer:

From the Information provided by the graph shown above, i can conclude that Phoenix's location on the graph is (-7,-10)

Working alone, Pablo can put up a tent in 12 minutes. His mom can put it up by herself in 4 minutes. How many minutes would they take to put up the tent working together?

Answers

Pablo amd his mom would take Eight minutes

Final answer:

Pablo and his mom would take 3 minutes to put up the tent working together, as they combine their work rates to determine their joint effectiveness.

Explanation:

To determine how many minutes Pablo and his mom would take to put up the tent working together, we can use the concept of combined work rates. Pablo can put up a tent in 12 minutes and his mom can do it in 4 minutes. We calculate their combined work rate by adding the reciprocal of each person's time because working together means their rates add up.

Pablo's rate is 1 tent per 12 minutes, or 1/12 tents per minute. His mom's rate is 1 tent per 4 minutes, or 1/4 tents per minute. Combined, their rate is (1/12) + (1/4) tents per minute.

First, find a common denominator for the fractions, which would be 12 in this case, so we get:

(1/12) + (3/12) = 4/12

Therefore, their combined rate is 4/12 or 1/3 tents per minute. To find out how long it would take them to set up one tent, we take the reciprocal of the combined rate. Thus, 1 tent would take them 1/(1/3) minutes, or simply 3 minutes.

Working together, Pablo and his mom can put up the tent in 3 minutes.

Plz help me with this

Answers

Answer: C) y ≥ 3x - 2;  [tex]y\leq \dfrac{1}{2}x+3[/tex]

Step-by-step explanation:

Blue line:

y-intercept (b) = -2

slope (m) is 3 up, 1 right = 3

shading is above

y ≥ 3x - 2

Yellow line:

y-intercept (b) = 3

slope (m) is 1 up, 2 right = [tex]\dfrac{1}{2}[/tex]

shading is below

[tex]\implies \bold{y\leq \dfrac{1}{2}x+3}[/tex]

cos(70° )cos(20° )+sin(70° )sin(20° )=cos(___°)?

Answers

Answer:

Step-by-step explanation:

Sum and Difference Formula

cos( U +/- V ) = cosU*cosV -/+ sinU*sinV

cos( U - V ) = cos(70)cos(20) + sin(70)sin(20)

cos( U - V ) = cos (70 - 20)

cos( 50 ) = .642788

Kyle is finding the area of this figure using a rectangle and a triangle. What is the area of the figure?

A) 315 cm2
B) 405 cm2
C) 90 cm2
D) 325 cm2

Answers

Answer:

B

Step-by-step explanation:

15*21=315

12*15=180

180/2=90

315+90=405

Help!!!!! Not the top one by the way..!

Answers

Answer:

[tex]\large\boxed{x=-3\ and\ y=-11\to(-3,\ -11)}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}-6x+y=7\\3x-y=2\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad-3x=9\qquad\text{divide both sides by (-3)}\\.\qquad\boxed{x=-3}\\\\\text{Put the value of x to the first equation:}\\\\-6(-3)+y=7\\18+y=7\qquad\text{subtract 18 from both sides}\\\boxed{y=-11}[/tex]

easy chose a,b,c,d wich ones please help easy

Answers

Answer:

A; The integer is 16

B; The integer has an absolute value of 16

D; The integer has an absolute value of 16

Answer:

b and d

Step-by-step explanation:

Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.

6x+8y=133
2x=y

Answers

Jade can buy a maximum of 6 magazines or 2 pies with her $24 weekly budget. The slope of her budget constraint is -2, representing the trade-off between pies and magazines. The opportunity cost of purchasing a pie is 3 magazines.

Jade has a weekly budget of $24, which she allocates between magazines and pies. Let's address the questions one by one:

Magazines: If the price of a magazine is $4 each, Jade can buy 6 magazines in a week since $24 divided by $4 equals 6.Pies: If the price of a pie is $12, Jade can purchase 2 pies in a week, as $24 divided by $12 equals 2.Budget constraint: On a graph with pies on the horizontal axis and magazines on the vertical axis, Jade's budget constraint would be a straight line starting at 6 magazines (if she buys 0 pies) and ending at 2 pies (if she buys 0 magazines). The slope of this budget constraint is -2 (the price of a pie divided by the price of a magazine).Opportunity cost: The opportunity cost of purchasing one pie is the number of magazines she has to give up, which is 3 magazines ($12/$4).

Is the fraction 1/4 equal to 2.5

Answers

Answer: No, 1/4 is equal to 0.25

Step-by-step explanation:

1/4

= 0.25

= 25%

* Hopefully this helps:) Mark me the brainliest:)

∞ 234483279c20∞

Answer:

no it is 1/4 is equal to .25 and 2.5 is 5/2

Step-by-step explanation:

For a field trip 8 students rode in cars and the rest filled ten buses. How many students were in each bus if 538 students were on the trip?

Answers

Answer:

538-8=530

530/10=53

your answer is 53 students

Step-by-step explanation:

The first term of a geometric sequence is 5 and the common ratio is 2 what is the fourth term of the sequence?

A: 40 B: 80 C:250 D:1250

Answers

Answer:

the answer is a

Step-by-step explanation:

5*2 is 10

10*2 is 20

20*2 is 40

5,10,20,40

On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(1, 2) and Q(−1, 2). What is the length of Side PQ of the polygon?

Answers

Answer:

3 units

Step-by-step explanation:

Answer:

I know I am a little late but the answer is 3

Step-by-step explanation:

I took the test part 1

The graph of a linear equation contains the points (4,1) and (-2,-11). Which point also lies on the graph?

Answers

Answer:

Step-by-step explanation:

Answer: Option B is correct.(1, -5) lies on the graph

Answer:

(1,-5)

Step-by-step explanation:

graph x = -2
Kfkdjfjdjdjf
Ifidjfjdjjfjfj

Answers

Answer:

This is a vertical line, that passes through x=-2

Step-by-step explanation:

This is a vertical line, x=-2 means that no matter what value has 'y' the variable 'x' will be -2.

Watch the attached picture

Determine which of the following expressions can be factored to (x+ 2)(x +2)

Answers

(x+2)(x+2)

x^2+2x+2x+4

x^2+4x+4

Answer : C ( x^2+4x+4)

Answer:

C. x2+4x+4

Step-by-step explanation:

If you multiply it out:

(x)(x) + 2x + 2x + 2(2)

x2 + 4x + 4

Find the GCF of the three terms below

20xy^2+10xy^3+15x^3y^2

and rewrite the expression by factoring out the GCF

Answers

ANSWER

[tex]GCF=5x {y}^{2}

[/tex]

[tex]5x {y}^{2} (4+ 2y + 3{x}^2 )[/tex]

EXPLANATION

The given expression is

[tex]20x {y}^{2} + 10x {y}^{3} + 15 {x}^{3} {y}^{2} [/tex]

This can be rewritten as:

[tex] {2}^{2} \times 5x {y}^{2} + 2 \times 5x {y}^{3} + 3 \times 5{x}^{3} {y}^{2} [/tex]

The greatest common factor is the product of the least powers of the factors common to all the terms;

[tex]GCF=5x {y}^{2}

[/tex]

We factor to obtain;

[tex]5x {y}^{2} (4+ 2y + 3{x}^2 )[/tex]

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