Answer:
1. Y-intercept b=5
That means it has a 5.00 starting fee.
2. Using the formula (Y2-Y1)/(X2-X1) we will find the slope between the two points.
Point one (X1 and Y1) will be the Y-intercept.
X1,Y1 = (0, 5.00)
Point 2 (X2 and Y2) will be the point on the trend line.
X2, Y2 = (200, 6.00)
Plug in:
(6.00 - 5.00)/(200 - 0) = 00.5 or 1/200.
3. When printing 200 pages each page will cost $.005.
4. .005x+5
5. .005x+5
.005(300)+5=6.5
good luck♡♡!!
Step-by-step explanation:
The estimated cost of printing Sarah's 300-page book is $6.50.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The y-intercept for the trend line is the value of y when x is equal to zero, which is 5.
The real-world meaning of this point is the fixed cost or base cost of printing a book, which includes expenses like labor, equipment, and materials that are not dependent on the number of pages in the book.
We are given one point on the trend line, (200,6), and the y-intercept is (0,5). So, we can substitute these values in the formula:
slope = (6 - 5) / (200 - 0) = 0.005 or 1/200
The real-world meaning of the slope is the variable cost per page, which represents the additional cost of printing each page beyond the fixed cost.
In this case, the slope of 0.005 means that it costs $0.005 or half a cent to print each additional page.
Using the slope-intercept form, the equation for the trend line is:
y = mx + b
where m is the slope and b is the y-intercept. Substituting the values we obtained in steps 1 and 2, we get:
y = 0.005x + 5
To estimate the cost of printing Sarah's 300-page book, we substitute x = 300 in the equation:
y = 0.005(300) + 5 = 6.5
So, the estimated cost of printing Sarah's 300-page book is $6.50.
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URGENT, PLEASE ANSWERR If someone who is 5 feet tall uses a potato gun to shoot a potato in the air at 100 feet per second, we can use the function ℎ()=−162+100+5 to calculate how far the potato will be from the ground at any given second (t). What does the h(0) represent in the context of the problem?
Given:
Consider the function is:
[tex]h(t)=-16t^2+100t+5[/tex]
This function is used to calculate how far the potato will be from the ground at any given second (t).
To find:
The value of h(0) and its meaning in the context of the problem.
Solution:
We have,
[tex]h(t)=-16t^2+100t+5[/tex]
At t=0,
[tex]h(0)=-16(0)^2+100(0)+5[/tex]
[tex]h(0)=0+0+5[/tex]
[tex]h(0)=5[/tex]
Therefore, the value of h(0) is 5. It means the potato is 5 feet from the ground at the time of shooting.
If x - 8 = -10, then find the value of 4x - 12
Answer:
60 is your answer.
Step-by-step explanation:
x - 8 = 10
add 8 to both sides,
x = 18
substitute 18 for x in the second equation:
4(18) - 12 = 72 - 12 = 60
Please lmk if you have questions.
The length of a rectangle is 18 cm and its breadth is 11 cm. Find area of the rectangle.
Step-by-step explanation:
Area = length×breath
=18×11
=198cm²
Answer:
198 square cm
Beth used 1 1/4 tubes of glue on her science project. Each Tube holds 1/3 ounce of paint. Write an equation to represent the situation. How many ounces of glue did Beth use?
Answer:
5/12 ounces
Step-by-step explanation:
If each tube holds 1/3 oz of paint, the you multiply 1/3 by the number of tubes that she used. 1/3oz/tube(1.25 tubes)= 5/12 ounces
Write the equation of a line parallel to f(x)=1/2x+1 and passing through the point (-5, -2).
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
y = 1/2x + b [Parallel lines have the same slope but different y-intercepts]
-2 = (1/2)(-5) + b [Plug in the coordinates (-5,-2) to find the y-intercept b]
b = 1/2 [Solve for b]
y = 1/2x + 1/2
Answer:
y= 1/2x + 0.5
Step-by-step explanation:
plug in the x and y values to get the y-intercept the slope stays the same. hope this helps! :P
If the graph of the function moves to the right two units what is the new vertex of the function
Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
A coordinate grid has a scale of 1
unit = 100 miles. How far apart, in
miles, are points (-3, 2) and (-3,
12)?
Answer:
It should be 1000 miles
Step-by-step explanation:
If you draw the picture out, you will find as the x-axis part is the same, so the distance will simply be 12 -2 = 10 units, and 1unit = 100 miles, so distance is 100 * 10 = 1000 miles.
standard deviation of the data. 160,220,220,249,190
Answer:
Population: 30.32. Sample: 33.99
HELP ME !!
The linear equation c = 6.5n + 1500 models cost c, in dollars, to produce n toys at a toy factory. What is the y-intercept, and what does it mean in this context?
A)The y-intercept is 6.5 and represents the number of toys produced increases by about 6.5 for each $1 increase in cost.
B)
The y-intercept is 1500 and represents the costs $1500 to run the factory if no toys are produced.
C)The y-intercept is 1500 and represents The factory can produce 1500 toys at no cost.
D)The y-intercept is 6.5 and represents the cost increases by $6.50 for each toy produced.
Answer:
B
Step-by-step explanation:
This is because 6.5n is the slope and the +1500 is the y-intercept. Remember its y=mx+b.
Answer:
B
Step-by-step explanation:
Hope this helps have a great day :)
Which functions are correctly graphed?
Select all the correct answers
the second one, and the third one
According to the function Graph 2 , 3 and 4 are correctly graphed.
What are Functions ?It is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
To determine which are the functions whose domain value match with that of the graph drawn ,
The values of the domains needs to be checked at various points , those graph are drawn correctly will correlate with the function values.
Graph 1 is not correctly graphed
Graph 2 , 3 and 4 are correctly graphed according to the function.
To know more about the function
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Write an equation in slope-intercept form: (7,7) and (-3,7) are on the line
Answer:
The only equation that would work is y=7
Step-by-step explanation:
please I need someone to help my assignment
Answer: x = 10
Step-by-step explanation:
The Pythagorean's theorem says that for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:
A^2 + B^2 = H^2
In this case, we have:
A = (x - 4)
B = (x - 2)
H = x
Then we have the equation:
(x - 4)^2 + (x - 2)^2 = x^2
Now we need to solve this for x, first let's simplify it.
(x^2 - 2*x*4 + 16) + (x^2 - 2*2*x + 4) = x^2
2*x^2 - 12*x + 20 = x^2
2*x^2 - 12*x + 20 - x^2 = 0
x^2 - 12*x + 20 = 0
The solutions of this equation are given by the Bhaskara's equation, such that for an equation like:
a*x^2 + b*x + c = 0
The solutions are:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
Then the solutions for our equation are:
[tex]x = \frac{-(-12) \pm \sqrt{(-12)^2 - 4*1*20} }{2*1} = \frac{12 \pm 8 }{2}[/tex]
Then the two possible solutions are:
x = (12 - 8)/2 = 4/2 = 2
Notice that if x = 2, then the length of the catheti will be:
A = 2 - 4 = -2
B = 2 - 2 = 0
This has no sense, so we can discard this solution.
The other solution for x is:
x = (12 + 8)/2 = 10
x = 10
Then:
H = 10
A = 10 - 4 = 6
B = 10 - 2 = 8
This solution makes sense, then x = 10.
I = prt solve for( r)
Answer:
r = [tex]\frac{l}{pt}[/tex]
Step-by-step explanation:
Given
l = prt ( isolate r by dividing both sides by pt )
[tex]\frac{l}{pt}[/tex] = r
Please help i will give brainleist and 25 points please dont play please
Complementary Angles are two angles that add up to 90 degrees. If ∠1=30 then ∠2=60 because 90-30=60.
Find the missing angle that makes them complementary. ∠3=50 so ∠4=
∠5=25 so ∠6=
∠7=80 so ∠8=
Step-by-step explanation:
1)90-50= 40°
2)90-25= 65°
3)90-80=10°
pls hurry will give brainlyest or whatever !!!
Which coordinate rule matches this description? Dilation of original by 5.
(5x, y)
(x+5, y+5)
(5x, 5y)
(x, 5y)
Answer:
D (x,5y)
Step-by-step explanation:
Find the slope of the line shown below.
Answer:
slope is -2
Step-by-step explanation:
trust me :)
Answer: The slope would be -2
I really need help Please thank you
Answer:
D
Step-by-step explanation:
the median is 85, the mean is 85, the mode is 80.
it can't be A, B, or C. so it must be D.
A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
4.1 kilograms
Step-by-step explanation:
A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3.5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
= 7.6 kilograms - 3.5 kilograms
= 4.1 kilograms
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simplify: 10 (3x-4)=30-5x
Answer:
x=2
Step-by-step explanation:
10(3x−4)=30−5x
Step 1: Simplify both sides of the equation.
10(3x−4)=30−5x
(10)(3x)+(10)(−4)=30+−5x(Distribute)
30x+−40=30+−5x
30x−40=−5x+30
Step 2: Add 5x to both sides.
30x−40+5x=−5x+30+5x
35x−40=30
Step 3: Add 40 to both sides.
35x−40+40=30+40
35x=70
Step 4: Divide both sides by 35.
35x 70
____ = _____
35 35
x=2
Please mark as brainliest if answer right
Have a great day, be safe and healthy
Thank u
XD
Really sorry if it is complicated
awnser the questions to describe the transformations of figure ABCD. Is A'B'C'D' a translation rotation or reflection of abcd?
Answer:
1. Reflection
2. rotation and reflection
3. b', b''
4. 26.3
Step-by-step explanation:
1. It is like looking in a mirror. Its is being reflected across the y axis
2. It is rotated 90 degrees to the right. Then reflected over the x axis.
3. they are the same
4. It is the same as A" B" C" D" so the lengths are the same and you just add them.
Step-by-step explanation:
Find the discriminant. (Must Show Work)
-9m^2+m-7=0
Answer:
-251
Step-by-step explanation:
the discriminant .b^2-4ac
=1-4×(-9)×(-7)
=1-252=-251
Kate wanted to sell a box of candy bars to raise money for her team. She sells 1/4 of the box at school. And 1/2 of the box to her neighbors. What fraction of the candy bars dose kate still have to sell. Put your answer in simplest form
Answer: 1/4
Step-by-step explanation:
Fraction of the box of candy bars sold at school = 1/4
Fraction of the box of candy bars sold to neighbor = 1/2
Therefore, the fraction that she has sold already will be:
= 1/4 + 1/2
= 1/4 + 2/4
= 3/4
The fraction of the candy bars that Kate still have to sell will be:
= 1 - 3/4
= 1/4
Kate has 1/4 candy bars left to sell
Steve uses 14 blue beads and 6 green beads to make a bracelet.
Which ratio compares the number of blue beads to the total number of beads in one bracelet?
Answer:
blue:total
14:20
Answer:
14:20
Step-by-step explanation:
because 14 + 6= 20 so blue beads are 14 and the other is alltogether 20 so it is 14:20 or 14 to 20
two printers working together can print a 250 page book in 30 minutes. printer a takes twice as long as printer b to print the same book. how long would it take each printer working alone to print the book. let the variable x = how many minutes it takes to print the book. Using units of books/minutes, write an equation involving rates using rational functions, solve for x, and interpret the results in context.
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Write the following FRACTIONS in order of size (SMALLEST to LARGEST)
70% , 2/3 , 0.62 , 13/20 , 0.6
Answer:
is this helpful?? i guess it is
A group of friends had dinner at a restaurant. The total bill for the dinner was $41 and they left a 15% tip. What was the total amount that they paid?
Answer:
$47.15
Step-by-step explanation:
41x15%=6.15
6.15+41=47.15
Answer: $47.15
Step-by-step explanation:
[tex]41 (1+.15)\\41 (1.15)\\= 47.15[/tex]
or you could do it in pieces
[tex]41(.15)= 6.15\\41+6.15= 47.15[/tex]
The width of your desk is 26 inches. How long is 75% of the width? Round to the nearest tenth if necessary.
Answer:
19.5
Step-by-step explanation:
Mutiply 26 by .75
What is the surface area of the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one decimal point and with the correct unit. 6.3 Incorrect. The surface area of an equilateral triangular pyramid is given by the formula surface area = 2bh. The surface area of this equilateral triangular pyramid is 2bh = 2 × 6 cm × 5.2 cm = 62.4 square centimeters. Enter the correct answer. the net of an equilateral triangular pyramid
Answer:
the surface area of the pyramid is 62.4 square centimeters
Step-by-step explanation:
The computation of the surface area of the pyramid is shown below:
As we know that
The surface area = 2bh
= 2 × 6 cm × 5.2 cm
= 62.4 square centimeters
Hence, the surface area of the pyramid is 62.4 square centimeters
Solve the equation:
3/4x = 12
Enter the answer in the box. Enter your numerical answer in the box, do not include words or spaces.
Answer:
3/4x=12
3=4x*12
3=48x
3/48x=1/16
x=1/16