Two kids at a summer camp, Amelia and Jennifer, are competing in a potato sack race. Amelia is younger, so she is given a head start of 3 yards. When the race starts, Amelia hops at a rate of 3 yards per second, and Jennifer hops 4 yards per second. Eventually, Jennifer will overtake Amelia. How far will Jennifer have to hop? How long will that take?

Answers

Answer 1
It will take 12 yards

Related Questions

Can you answer this? please?

Answers

That will be 10 and of 0.5

1. Un terreno de cultivo en Junín tiene forma de rectángulo de 10m de base y 4m de altura. Debido a que el agricultor desea obtener mayor producción, amplía dicho terreno en dos metros cada lado. ¿En qué porcentaje aumentó el área?

Answers

That mugs way too hard
Por que this is the coordinator

Which function is a quadratic function?
p(x) = 2x(x2 + 6) + 1
m(x) = –4(x + 3) – 2
t(x) = –8x2(x2 – 6) + 1
h(x) = 3x(x – 2) – 4

Answers

the last one bec when multiply the outside number by what’s in the parentheses u get x^2. the other equations get u x^4, x, x^3. quadratic is only x^2

Answer:

D

Step-by-step explanation:

edge

6 3/4 yards of fabric per 3 costumes. how many yards do i need for 7 costumes

Answers

Finds how much is needed for 1 costume by dividing 6 3/4 by 3

6 3/4 /3 = 2 1/4 yards per costume.

Multiply yards per costume by 7:

2 1/4 x 7 = 15 3/4 yards total needed.

[tex]\\ \rm\hookrightarrow 6\dfrac{3}{4}yards=3costumes[/tex]

1costume

[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\div 3[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\times \dfrac{1}{3}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{27}{7}yards[/tex]

7costumes

[tex]\\ \rm\hookrightarrow \dfrac{27}{7}\times 7[/tex]

[tex]\\ \rm\hookrightarrow 27yards[/tex]

(7-4) + 17 / -14 + 2 x 5

Answers

Answer:

165/14

Step-by-step explanation:

(7-4) + 17 / -14 + 2 x 5

3 + 17/-14 + 2 x 5

3 - 17/14 + 2 x 5

3 - 17/14 + 10

165/14

ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!!

Answers

Answer:

Company D is the correct choice. With a flat rate of $150 plus the hourly fee of $5, you add the hourly to the flat fee. So in this case, $150 + 7($5) = $185. This comes out to be the lowest price out of the 4 options provided.

Step-by-step explanation:

I derped. I'm sorry. Here is the answer as an actual answer :)

Answer:

Company C

Step-by-step explanation:

a. A man sells an article at Rs. 800 and makes 3 of the selling price profit. Find his (a) cost price (b) profit percentage. ​

Answers

Answer:

A 1600

B 2400 hope it helps

Solve x4 − 4x2 − 12 = 0.

Answers

Answer:

x^2+2=0 or x^2−6=0

Step-by-step explanation:

x^4-4x^2-12=0

(x^2+2)(x^2−6)

x^2+2=0 or x^2−6=0

Answer:

x=6

Step-by-step explanation:

Hope It Help!

Thanks

can someone please help me find the domain and range​

Answers

Answer:

the domains are x axis or intercepts and range is y axis or intercepts

Plsss helpppp worth 100 points + other 2 questions

1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function. (1st picture)

a) What is the phase shift, c, of this curve?
b) What is the vertical shift, d, of this curve?
c) What is the amplitude, a, of this curve?
d) What is the period and the frequency factor, b, of this curve?
e) Write an equation using the cosine function that models this data set.

2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to model the curve using the sine function.
(4.5, 2), (1.5, 22)
a) What is the vertical shift, d, of this curve?
b) What is the amplitude, a, of this curve?
c) What is period and the frequency factor, b, of this curve?
d) Write an equation using the sine function that models this curve.

Answers

Answer:

1.)

A.) phase shift is c = 6  

B.) Vertical shift is 21 units down  

C.) The amplitude is 5 from the midline at y = -21  

D.) The period is 16 and the frequency factor is pi/8  

E.) 5 cos(pi/8(x - 6)) - 21

2.)

Answer:

A.) Vertical shift is 12 units down

B.) The amplitude is 10

C.) The period is 6 and the frequency factor is pi/3

D.) Equation: y = 10sin(pi/3(x)) + 12

Answer:

1.)

A.) phase shift is c = 6  

B.) Vertical shift is 21 units down  

C.) The amplitude is 5 from the midline at y = -21  

D.) The period is 16 and the frequency factor is pi/8  

E.) 5 cos(pi/8(x - 6)) - 21

2.)

Answer:

A.) Vertical shift is 12 units down

B.) The amplitude is 10

C.) The period is 6 and the frequency factor is pi/3

D.) Equation: y = 10sin(pi/3(x)) + 12

Step-by-step explanation:

Find the perimeter of the polygon with vertices Q(-3,2), R(1,2), S(1,-2), and T(-3,-2)

The perimeter is blank units

Plz ASAP!!!

Answers

to find the perimeter of the polygon plot The vertices on a coordinate plane indemnify the segments of the polygon find the distance between the points of the segments. The perimeter of the polygon is 16 units

Answer: The perimeter is 16 units

Step-by-step explanation:

three less than twice a number is fifteen

what is the answer?

Answers

Answer:

2X–3 =15

2X=15+3

2X=18

X=18/2

X= 9

I hope I helped you^_^

Answer:

18

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Without simplifying, select all the expressions that will represent a rational number.
A. 4/23+3/√9
B. 4/23−4/√8
C. 4/23×3/√9
D. 4/23÷4/√8
E. 4/23×8/√3
Please help me with this question!!!!

Answers

Answer:

A. 4/23+3/√9

C. 4/23×3/√9

[tex].[/tex]

Tyron made 60 cakes. He gave 20% of his cakes to Ana . And 1/6 of his cakes to Dora. What fraction of the 60 cakes does he have left?

Answers

Answer:

19/30

Step-by-step explanation:

Total cakes made by Tyron = 60

Cakes given to Ana = 20% of 60

                                 [tex]=\dfrac{20}{100}*60\\\\= 2*6\\\\= 12 \ cakes[/tex]

Number of cakes given to Dora= [tex]\dfrac{1}{6}*60=10[/tex]

Remaining cakes = 60 - ( 12 +10)

                              = 60 - 22

                              = 38 cakes

Fraction of left cakes = [tex]\dfrac{38}{60}=\dfrac{19}{30}[/tex]

What is the value of f(x) when X=-3
f(x) = 2x2 + 4x+10

A. -14
B. -8
C. 16
D. 34

Answers

Answer:

16

Step-by-step explanation:

f(x) = 2x^2 + 4x + 10

f(-3) = 2(-3)^2 + 4(-3) + 10

f(-3) = 2(9) + (-12) + 10

f(-3) = 18 + (-12) + 10

f(-3) = 16

common factor. 48x7y9−24x2y7−60x4y2

Answers

48y^2(x^7 y^7 y^5-5)

a + b = 0 Which of these is equal to b?

0
1/a
a
-a

Please help!

Answers

Answer:

The answer is -a

Step-by-step explanation:

from equation,

[tex]a+b=0\\=>b=0-a[/tex]

∴[tex]b=-a[/tex]

Therefore, -a is equal to b

hope you have understood this....

pls mark my answer as the brainliest

can someone help me please?

Answers

An exponent is added to a term when the term is multiplied by itself. The exponent s value is the number of times the term is multiplied by its self.

There are 2 a’s so a x a = a^2

There are 3 b’s so you have b^3

There are 2 c’s so it is c^2

The equation becomes: a^2 x b^3 x c^2

Answer:

[tex]a \times a \times b \times b \times b \times c \times c = {a}^{2} \times {b}^{3} \times {c}^{2} \\ thank \: you[/tex]

Graph the function.
f(x)=-\dfrac{2}{3}(x +1)(x -5)f(x)=−
3
2

(x+1)(x−5)

Answers

Answer:

see below

Step-by-step explanation:

f(x) = -2/3 (x+1) (x-5)

First find the zeros

0 = -2/3 (x+1) (x-5)

Using the zero product property

x+1 =0   x-5=0

x= -1    x = 5

Then find the y intercept

y = -2/3 (0+1)(0-5)

  - 2/3 (1)(-5)

  +10/3

We know that this is a parabola that opens downward

Simplify

y=-2/3(x+1)(x-5)y=-2/3(x(x-5)+x-5)y=-2/3(x²-5x+x-5)y=-2/3(x²-4x-5)

Graph attached

Which of the following numbers are greater than -4.5 and less than -0.5?

Answers

Lets form a inequality

x is greater than -4.5

[tex]\\ \sf\longmapsto x>-4.5[/tex]

x is less than -0.5

[tex]\\ \sf\longmapsto x<-0.5[/tex]

Now

[tex]\\ \sf\longmapsto -4.5\lt x\lt -0.5[/tex]

Hence

[tex]\\ \sf\longmapsto x=\left\{-4.4,-4.3\dots -0.7,-0.6\right\}[/tex]

Using a Table to find the Constant of Proportionality
his table represents a proportional relationship. Use the table to identify the constant of proportionality between the
atio of the number of laps to the number of swimmers,

Answers

Answer:

k = 12

Step-by-step explanation:

The constant of proportionality k is the ratio

k = [tex]\frac{laps}{swimmers}[/tex]

Use any ordered pair from the table to find k

Using number of laps = 240, number of swimmers = 20 , then

k = [tex]\frac{240}{20}[/tex] = 12

please please help me if for my homework​

Answers

Answer:

89/100. Hope this helped.

Step-by-step explanation:

Answer:

89/100

Step-by-step explanation:

.89

Multiply the decimal by 100

89

Convert the decimal to a fraction

89/100

Evaluate (2-3)(4) - 923

Answers

-927 is the answer :)

V=1/3πr²(h-1) find h

Answers

Answer:

[tex]h=\displaystyle \frac{3V}{\pi r^2}+1[/tex]

Step-by-step explanation:

Hi there!

[tex]V=\displaystyle\frac{1}{3} \pi r^2(h-1)[/tex]

Divide both sides by [tex]\displaystyle\frac{1}{3} \pi r^2[/tex]:

[tex]\displaystyle \frac{V}{\displaystyle\frac{1}{3} \pi r^2}=(h-1)[/tex]

[tex]\displaystyle \frac{3V}{\pi r^2}=h-1[/tex]

Add 1 to both sides:

[tex]\displaystyle \frac{3V}{\pi r^2}+1=h[/tex]

I hope this helps!

Find the area of a cell phone screen with an 8 inch diagonal that has an aspect ratio of 2:3.
Round answer to the nearest square inch.

Answers

If the sides were 2 and 3 then using Pythagoras the diagonal would be sr(2^2 + 3^2) = sr(13)

The actual diagonal is 8 inches so the sides need to be scaled by 8/sr(13)

The screen area will be 2 x 8/sr(13) x 3 x 8/sr(13) = 29.539....
Rounded to nearest sq.inch this is 30 sq.inch

The answer if any body knows it

Answers

Answer:

[tex]A=\pi(336)[/tex]

[tex]A=1055.575[/tex]

Step-by-step explanation:

1. Approach

One is given a prism. The base of the prism is a quarter of a circle, the prism's length is also given. The easiest method to find the volume of the prism is to find the area of the quarter of the circle, then multiply the result by the length of the prism.

2. Find the area of the quarter circle

The following formula can be used to find the area of a circle,

[tex]A_c=(\pi)(r^2)[/tex]

Since one is trying to find the area of a quarter of a circle, one must multiply this formula by ([tex]\frac{1}{4}[/tex]). Please note that the parameter (r) represents the radius of the circle or the distance from the center of the circle to the circumference or outer edge of the circle. The parameter ([tex]\pi[/tex]) represents the number ([tex]3.1415...[/tex]).

[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]

Substitute the given values into the formula and simplify to evaluate,

[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]

[tex]A_c=\frac{1}{4}(\pi)((8)^2)[/tex]

[tex]A_c=\frac{1}{4}(\pi)(64)[/tex]

[tex]A_c=(\pi)(16)[/tex]

[tex]A_c\approx 50.2655[/tex]

3. Find the volume of the prism

Now multiply the area of the quarter circle by the length of the prism to find the volume of the prism. Note that the parameter (l) represents the length of the prism,

[tex]A=A_c(l)[/tex]

Substitute and simplify to evaluate,

[tex]A=(\pi)(16)(21)[/tex]

[tex]A=\pi(336)[/tex]

[tex]A=1055.575[/tex]

5/12 divided then turned into decimal and rounded near hundredth​

Answers

[tex]\\ \sf\longmapsto \dfrac{5}{12}[/tex]

[tex]\\ \sf\longmapsto 0.4166[/tex]

Round to nearest thousand

[tex]\\ \sf\longmapsto 0.417[/tex]

Round to nearest hundredth

[tex]\\ \sf\longmapsto 0.42[/tex]

Step-by-step explanation:

0.417 round to the nearest hundredth

does this form a right triangle 8,10,6​

Answers

Answer:

Yes, it does. We can check by using the Pythagorean theorem (P.t.).

P.t.: a^2 + b^2 = c^2

a = 6, b = 8, c = 10

6^2 + 8^2 = 10^2

36 + 64 = 100

100 = 100

Brainliest, please!

Answer:

Step by step answer.

Yes

a^2 + b^2 = c^2

8^2 + 6^2 = 10^2

64 + 36 = 100

100 = 100

The Pythagorean Theorem works. C is always assumed to be the hypotenuse because it is the longest line It's position does not matter. If you did the problem like this

6^2 + 10^2 = 8^2

Of course this would not work, but it would also disobey the convention that c is the longest side.

You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 1.1 feet long, if the remaining piece needs to be 2.30 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.

Answers

Answer:

The board should be 4.7 feet long.

Step-by-step explanation:

To find the remaining piece, you just multiply 1.1 by 2.3 which is 2.53. That's the length of the remaining piece.

Then you add all the pieces together.

1.1+1.1+2.53 =

4.73

Round and add label.

4.7 feet

read the following bar graph and answer the following related questions: 1:2 or 2:3 or 3:4 or 1:6.

Answers

Where is the bar graph?
Other Questions
21. Describe a real-life situation that can be modeled by an absolute-value equationwith the solutions x = 5 and x = 10.Will give Brainly why is the natural right to property limited? Read the passage below. Highlight or underline words and phrases that you feel are important to understanding the document. In the spaces provided, explain how your selections help you understand the meaning and purpose of each paragraphBut, in a larger sense, we cannot dedicate we cannot consecrate we cannot hallow this ground. The brave men, living and dead, who struggled here, have consecrated it, far above our poor power to add or detract. The world will little note, nor long remember what we say here, but it can never forget what they did here. It is for us the living, rather, to be dedicated here to the unfinished work which they who fought here have thus far so nobly advanced. It is rather for us to be here dedicated to the great task remaining before us that from these honored dead we take increased devotion to that cause for which they gave the last full measure of devotion that we here highly resolve that these dead shall not have died in vain that this nation, under God, shall have a new birth of freedom and that government of the people, by the people, for the people, shall not perish from the earth.EXPLANATION:Part 2Answer the question below in a well-developed paragraph, using specific evidence from the text.What was Lincoln's purpose in writing the Gettysburg Address? PURPOSE: What is the approximate mass of one electron? How can $500 be divided between four people so that each person gets $20 more than the person before. Find the value of x that will make A||B. Explain how citizens exercise their power in a democracy. Someone plz help me Evaluate and simplify expressionsPls put the solution as well All the following EXCEPT ______ are typically used to treat PTSD symptoms. a. Effexor b. Mood stabilizers c. SSRIs d. Stimulants what's the answer to 5 of the statement side , please help Which names are other ways to name Angle2?Select each correct answer Why would healthcare workers use standard precautions?to prevent slips and fallsto reduce their exposure to radiationto protect themselves from a violent patientto protect themselves from catching or transmitting an infectious disease Which of the inferences about The refusal The citizens who attend the ceremony 2. Quinton sold the most tickets in his school for the annual Autumn Festival. As areward, he gets to choose twice from a grab bag with tickets that say "free juice" or"free notebook." Why didnt the government supply enough food and equipment to the continent army A circle is the set of points around that are all the SAME distance from a central point inside the circle.O TrueO False A jacket costs $129.95. The sales tax rate is 8%. If prepresents the price of the jacket, and the sales tax rate, which TWO expressionrepresent the total cost of the jacket?A) p+B) P - 0.08C)1.08pD) (p-r)+pE) 0.92p How many paragraphs should anarrative essay be?A. 4-5 lengthy, well-described paragraphsB. 2-3 short, simple paragraphs with as little detailas possible - the quicker the betterC. an undefined number - the story should becomplete and not based on number of paragraphs -4b+3(6-7b)=93 please help with the asnswr