The total distance jim traveled on his bicycle during a 5 hour period is shown in the graph below.
Answers
Answer:
100 miles
follow the line up from 5
Related Questions
Given f(x)=2x^3+kx-9f(x)=2x 3 +kx−9, and the remainder when f(x) is divided by x−2 is 23, then what is the value of k?
Answers
Given:
The function is
[tex]f(x)=2x^3+kx-9[/tex]
The remainder when f(x) is divided by x−2 is 23.
To find:
The value of k.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
It is given that, the remainder when f(x) is divided by x−2 is 23. By using remainder theorem, we get
[tex]f(2)=23[/tex] ...(i)
Put x=2, to find the value of f(2).
[tex]f(2)=2(2)^3+k(2)-9[/tex]
[tex]f(2)=2(8)+2k-9[/tex]
[tex]f(2)=16+2k-9[/tex]
[tex]f(2)=2k+7[/tex] ...(ii)
Using (i) and (ii), we get
[tex]2k+7=23[/tex]
[tex]2k=23-7[/tex]
[tex]k=\dfrac{16}{2}[/tex]
[tex]k=8[/tex]
Therefore, the value of k is 8.
What is the slope of the line that passes through the points (1, 2) and (3, 12)?
Answers
Answer:
Slope is 5
Step-by-step explanation:
(1, 2) and (3, 12)
m= (y2-y1)/(x2-x1)
m= (12-2)/(3-1)
m= 10/2
m= 5
I need help with these questions (see image). Please show workings.
Answers
Answer:
Q1. 37.3 cmQ2. (a) 8.66 cm (b) 17.3 cmStep-by-step explanation:
Question 1
GivenChord 1 c1 = 36 cmChord 2 c2 = 30 cmRadius r = d/2 = 50/2 = 25 cmChords are parallelTo find The distance between the chordsSolutionThe distance between the chords is sum of the distances between the center and the midpoint of the chords
The segments between the center to the midpoints of the chords for right triangles with one side being the radius.
The distance is:
h = h1 + h2 h1 = [tex]\sqrt{r^2 - (c1/2)^2} = \sqrt{25^2 - 18^2} = \sqrt{301}[/tex] ≈ 17.3 cm (rounded)h2 = [tex]\sqrt{r^2 - (c2/2)^2} = \sqrt{25^2 - 15^2} = \sqrt{400}[/tex] = 20 cmh = 17.3 + 20 = 37.3 cm------------------------------------------
Question 2
GivenEquilateral triangle inscribed into circleSide of the triangle is 30 cmTo findDistance between the center and the sideRadiusSolutionMidpoint of the side, the center and the vertex form a right triangle with 30° angle at the vertex.
Let the radius be r, the distance from the center to the side be h
Then we have:
r² = h² + (30/2)²As per property of 30°-60°=90° triangle, the side opposite to 30° is half of the hypotenuse. In this case, h = r/2 or r = 2h
Substitute r into equation above and solve for h:
(2h)² = h² + 2253h² = 225h² = 75h = √75 = 8.66 cm (rounded)Find the value of r:
r = 2*8.66 = 17.3 cm (rounded)6a+5=5 what is a in the equation?
Answers
Answer:
a = 0
Step-by-step explanation:
Given
6a + 5 = 5 ( subtract 5 from both sides )
6a = 0 , then
a = 0
Kenneth earns $9 per hour mowing lawns. The total amount earned t equals the amount earned per
hour times the number of hours h. Which equation gives the total amount earned tif Kenneth worksh
hours?
Answers
hope this helped :)
T=9h
I probably anwserd Late also I was stumped on this to
Find the commission.
Earning Commission
Sales Commision Rate Commission
$720
7%?
Answers
Answer:
$50.4
Step-by-step explanation:
The Commission is $50.4 of the sale.
7% of 720 = 50.4
Combine like terms: 2 + 4p – 6p – 3
Answers
Answer:
-2p - 1
Step-by-step explanation:
[tex]\text{Combine like terms.}\\\\2+4p-6p-3\\\\4p-6p+2-3\\\\\boxed{-2p-1}\\\\\\\text{Hope this helps!}[/tex]
Answer:
-1 - 2p
Step-by-step explanation:
2 + 4p - 6p - 3
Combining like terms are adding or subtracting the numbers kinda look the same. To make it simple.
2 + 4p - 6p - 3
2 - 2p - 3
-1 - 2p
That’s as far as you can go because they didn’t tell you to solve it neither is there an equal sign.
The two triangles shown can be proven congruent through ...
AAS
ASA
SAS
SSS
Answers
Answer:
Step-by-step explanation:
SAS
Answer:
AAS
Step-by-step explanation:
please solve for x.
Answers
Answer:
127 degrees
Step-by-step explanation:
All the degrees in a pentagon need to equal 540. Add up the degrees known and then subtract from 540.
good luck!! <3
Please help me with the question I asked I’m doing a text please.
Answers
Answer:
Wait, what question?? I can try to do it.
3(x+2)^2+7 in standard form
Answers
Answer:-2x^2+3x-7=0
Step-by-step explanation:
Write an equation in slope intercept form for the given line (-7,2) and (5,8)
PLEASE HELP ASP 10 MINUTES LEFT TILL THE DEADLINE
Answers
Answer: y= 0.5x + 5.5
Step-by-step explanation: Y = mx + C
SLOPE INTERCEPT FORM:
First we need to find the slope of the two points. Which is y2-y1 / x2-x1.
8 is Y2 and 2 is Y1. 5 is Y2 and -7 is Y1. Plug those numbers into a calculator and solve. The slope (m) is 1/2 or 0.5
Then we have to find C as the slope intercept form is Y = mx + C. To find C we replace x and y with one of the points, and solve as an algebric equation. C will be 5.5
Get as many people to answer this question will give brainiest for free!!!!
Answers
Answer:
huh?
Step-by-step explanation:
HELP HELP PLEASE!! D:
Determine the missing side length:
Please don't give cap!
Answers
Answer:
c = 35
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 21^{2} + 28^{2}[/tex]
[tex]c^{2} = 1225[/tex]
[tex]\sqrt{c^{2} } = \sqrt{1225}[/tex]
[tex]c = 35[/tex]
Veronica and Chad are walking down the street. Veronica walks at a speed of 5 miles per hour, and Chad walks at a speed of 4 miles per hour. Write an equation for the distance(d), in miles, each person walks over time(t), in hours. Do the equations represent linear functions?
Answers
Answer:
Veronica:
d=5t
Chad:
d=4t
Step-by-step explanation
yes they do represent linear equations
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
Answers
x-1 = 4/3 . 6
x = 24/3 + 1 = 9
32/24 = (y+1)/21
y+1 = 4/3 . 21
y = 84/3 - 1 = 25
The value of x is given from proportion and x = 9
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the first polygon and second polygon be similar
So , the ratio of their corresponding sides will also be similar
Substituting the values in the equation , we get
( x -1 ) / 6 = 16 / 12 be equation (1)
On simplifying the equation , we get
Multiply by 6 on both sides of the equation , we get
( x - 1 ) = ( 16 x 6 ) / 12
( x - 1 ) = 16 / 2
On simplifying the equation , we get
x - 1 = 8
Adding 1 on both sides of the equation , we get
x = 9
And ,
( y + 1 ) / 21 = 32 / 24 be equation (2)
On simplifying the equation , we get
Multiply by 21 on both sides of the equation , we get
( y + 1 ) = ( 4 x 21 ) / 3
y + 1 = 4 x 7
y + 1 = 28
Subtracting 1 on both sides of the equation , we get
y = 27
Hence , the value of x is 9
To learn more about proportion click :
https://brainly.com/question/7096655
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Please help asap !!!
Answers
Answer:
B
Step-by-step explanation:
The domain (x) continues to go to both positive and negative infinity (all real numbers). The range (y) can only continue to go more than -12.
Hugo cut 15 short strips of paper then he cut 14 long strips how many strips of paper did he go cut in all
A.1 strip of paper
B.28 strip of paper
C.2 strip of paper
D.29 strips of paper
Answers
Answer:
D.) 29
Step-by-step explanation:
Add 15 and 14
Find the volume of the rectangular prism.
Answers
Answer:
Step-by-step explanation:
The volume of a rectangular prism is
V=xyz, where x,y,z are the three dimensions, in this case
V=10(4.5)6.25
V=281.25 ft^3
FIRST CORRECT ANSWER WILL GET BRAINLIEST!!! PLS helppp
prove that 5^7+5^6 is divisible by 6
Answers
First, I solve the equation: 5^7+5^6...
I got 93750
--
The divisibility rules of 6 are:
It must be divisible by 2It must be divisible by 3So, let's check if 93750 is divisible by 2 first.
It's in even number which automatically means that it is divisible by 2.
No odd numbers are divisible by 2
--
Now let's check if it is divisible by 3 second.
The divisibility rules of 3 are:
The digits added must be divisible by 3So, 9 + 3 + 7 + 5 + 0 = 17
17 is NOT divisible by 3.
--
Therefore, your equation is not divisible by 6!
please help ASAP !!!!!
Answers
Answer:
I got you
Step-by-step explanation:
you just gotta get good kid :D
Jerry plans on saving money for a trip by putting $1 in a savings account the first month and then adding
enough to double the amount in the account each following month. Write a function to show how much money Jerry will have in his savings account s (t) after t months
Answers
9514 1404 393
Answer:
s(t) = 2^(t-1)
Step-by-step explanation:
The amount in the account is the sum of the series ...
1 + 1 +2 +4 +8 +16 +...
We note that terms after the first are a geometric sequence with a first term 1 and a common ratio 2. The sum of such a sequence is ...
Sn = a1×(r^n -1)/(r -1) . . . . where n is the number of terms being summed
For our values, this simplifies to ...
Sn = 1×(2^n -1)/(2 -1) = 2^n -1
We notice here that the account balance is 1 more than this sum, and that n = t-1, so the balance a(t) is ...
s(t) = 1 +(2^(t -1) -1)
s(t) = 2^(t -1) . . . . . . the function showing how much Jerry has
PLEASE HELP
What two numbers that add each other give you -7 but times it give you -120
Answers
To solve this I set up a system of equations. When you add two numbers, let’s say x and y, together you get -7. My first equation is x+y=-7. My second equation is xy=-120, because when you multiply them together you get -120.
x + y =-7
xy = -120
I solved by substitution, so I first got one variable (in this case y) alone on one side of the equation. Let me know if you want me to explain any of these steps further.
x+y = -7
y = -7 - x
I then substituted -7 - x in for y in the other equation.
xy = -120
x(-7 - x) = -120
From here I distributed the x.
-7x -x^2 = -120
-x^2 -7x +120 = 0
-1(x^2 + 7x -120) = 0
-(x-8)(x+15) = 0
x=8,-15
I factored the polynomial to solve for x.
8 + y = -7
y = -15
-15 + y = -7
y = 8
Finally, I solved for y using these values for x. Either way the numbers you get are -15 and 8. To double check this, see that -15+8=-7 and -15(8) =-120
I hope this helps!
5. The cost of a flower vase is Rs 120. If the shopkeeper sells it at a loss of 10%, find the price at
which it is sold.
an
Answers
loss:10%
loss amount=loss% of cp
=10%of rs120
=10/100 * 120
=rs.12
now,
sp=cp-loss
=120-12
=rs.108
HELPPP PLEASE !!!!!!!!
Answers
Answer:
20
Step-by-step explanation:
1. First simplify 8a + 4 then substitute a=2 so 8(2) + 4 = 16+4=20
Now you try the rest
HELP PLEASE
I WILL GIVE YOU BRAINLIEST
Answers
Answer:
x = - 4, x = 1
Step-by-step explanation:
The solutions to the quadratic are the values of x where the graph crosses the x- axis.
The graph crosses the x- axis at x = - 4, x = 1
Thus the solutions are x = - 4 , x = 1
18. When an article is sold for $100 a profit of 25% is made on the cost price. What is the cost price?
Answers
Answer:
$80
Step-by-step explanation:
100/1.25 = 80
The cost price of the article that makes a profit of $100 will be $400.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
When an article is sold for $100 a profit of 25% is made on the cost price.
Let 'x' be the cost price of the article. Then the equation is given as,
25% of x = $100
Simplify the expression, then we have
0.25x = $100
x = $100 / 0.25
x = $400
The cost price of the article that makes a profit of $100 will be $400.
More about the percentage link is given below.
https://brainly.com/question/8011401
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How will the graph of the function f(x) = 3x translate when the function is changed to f(x) = 3(x-2)
Answers
Answer:
Step-by-step explanation:
Subtracting from the x value shifts the graph to the right that many units. In this case the graph is shifted to the right by 2 units.
Answer:
It moves to the right 2
Step-by-step explanation:
:)
What is the value of x that makes the equation from the model true.
Answers
5x+6×1=1
5x+6=1
5x= -5
x= -1
Ramon earns $1,725 each month and pays $53.70 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answers
Answer:
Step-by-step explanation:
Remark
The formula you use is (Electricity / Total Income ) * 100
The ratio becomes 53.7/1725 * 100%
The ratio is 53.7/1725 * 100 = 0.03113 * 100
The % = 0.03113 * 100 = 3.113
To the closest tenth that is 3.1%