Given:
The graph of a trend line.
To find:
The equation of the trend line is slope intercept form.
Solution:
From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).
Slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{50-25}{5-0}[/tex]
[tex]m=\dfrac{25}{5}[/tex]
[tex]m=5[/tex]
The line passes through the point (0,25). So, the y-intercept of the line is 25.
Slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
The slope intercept from of the line is:
[tex]y=(5)x+(25)[/tex]
[tex]y=5x+25[/tex]
Therefore, the equation for the trend line in slope -intercept form is [tex]y=5x+25[/tex].
WILL GIVE BRAINLIEST FOR RIGHT ANSWER 16 POINTS
Answer:
Absolute value means 2 equations so work below.
Step-by-step explanation:
x + 2 = 3
x = -1
x - 2 = 3
x = 5
I hope I didn't just confuse myself it's been YEARS since i've had simple questions like this (i can edit if needed)
Evaluate the function.
f(x)=-x^2-14
Find f(9)
Based on the sample results, about what percent of
the population prefers reading a hard copy?
about 21%
SAMPLE RESULTS
about 16%
DO YOU PREFER TO READ A
HARD COPY OR A DIGITAL
COPY WHEN READING BOOKS,
MAGAZINES, AND/OR
NEWSPAPERS?
about 84%
digital copy: 4
hard copy: 21
n = 25
about 50%
0
-
su come
000
115 Complete
1:11 PM
Answer:
84%
Step-by-step explanation:
Given that :
Number that prefers digital copy = 4
Number who prefers hard copy = 21
Total number of samples =
(digital + hard copy) = 25
Percentage who prefers hard copy :
(Number who prefer hard copy / total number of samples) * 100%
(21 / 25) * 100%
0.84 * 100%
= 84 %
The surface area of a triangular prism is 18: square inches. What is the surface area of a similar solid that has been enlarged by a scale factor of 2.52?
Answer:
45.36 square inches
Step-by-step explanation:
Given the following
Surface area of a triangular prism = 18 square inches
If it is enlarged by a scale factor of 2.52, the area of the enlarged solid is expressed as;
Area of enlarged solid = area of original sold * scale factor
Area of enlarged solid = 18 * 2.52
Area of enlarged solid = 45.36 square inches
hence the surface area of a similar solid that has been enlarged by a scale factor of 2.52 is 45.36 square inches
Answer:45.36 square inches
Step-by-step explanation:
what is 38% of 32.
pls help in the middle of testing
Answer:
12.16
Step-by-step explanation:
1:Reduce the fraction 100 38 to lowest terms by extracting and canceling out
2:Express 50/19 ×32 as a single fraction.
3:Multiply 19 and 32 to get 608.
4:Reduce the fraction 608/50 to lowest terms by extracting and canceling out 2.
5:304/25=(12.16).
hey please help me with this ty
Answer:
3d
Step-by-step explanation:
3 miles per day
if he runs for two days he runs 6 miles 3(2)
etc etc
PLZS ANSWER BY TODAY!
Step-by-step explanation:
Buh fr buh
2
Find the equation of the line shown.
Find the equation of the line shown. *
(10 Points)
y=3x+4
y=-1/2x-3
y=5x-12
y=1/2x+3
Solve for x and show your work! For each equation choose if there are:
• zero solutions for x • exactly one solution for x • or an infinite number of solutions for x.
2(3x + 9) = 18 + 6x
Answer:
Infinite number of solutions
Step-by-step explanation:
Use the distributive property
2 x 3x = 6x
2 x 9 = 18
6x +18 = 18 + 6x
Answer: infinite solution
Need help plz with this if nobody don’t mind
Answersheeeeeeeeeeeeeeeeeeeeeeeeeesssh
Step-by-step explanation:
find the value of x and y
Answer:
It's hard to make out which is x and y, if x is lower right and y is at the top, then:
x = 55°
y = 70°
Step-by-step explanation:
x = 55° because it is an isosceles triangle
y = 180° - 55° - 55° = 70°
What is the greatest common factor of 36x^3-
9x² +18zy^2??
Answer:
9.
Step-by-step explanation:
The GCF of 36, 9 and 18 = 9
The GCF of x^3, x^2 and zy^2 = 1
So the answer is 9 * 1.
Answer:
9
Step-by-step explanation:
i
A circular region with a 6 mile radius has a population density of 50 people per square mile. Find the number of people that live in the region
Answer:
population = 5652 people
Step-by-step explanation:
area = πr² = (3.14)(6²) = 113.04 mi²
at 50 people/mi², then 113.04 x 50 = 5652 people
Shanti is making a patchwork quilt. Each piece of fabric has a black star on it. She uses the grid shown to plan the locations of the different fabric squares.
a. What transformation maps square 1 onto square 2?
b. What transformation maps square 2 onto square 3?
c. What transformation maps square 1 onto square 5?
Answer:
A) Translation
B) Reflection
C) Rotation
Step-by-step explanation:
The transformation types in mathematics are;
Reflection, translation, rotation and dilation.
We can see that the squares are all the same size, it's just the position of the stars that will aid us in knowing the specific transformation.
A) We can see that square 2 is the exact same thing as square 1. Just that it was shifted to the right of square 1. Thus, it was translated and the transformation is translation.
B) We can see that the star in square 3 is the exact mirror copy and location from square 2. Thus, this is a reflection.
C) We can see that the position of the star in square 5 is top while that in square 1 is at the left corner. This can only be achieved by rotation.
A ladder leans against the side of a house the top ladder is 16 ft from the ground the bottom of the ladder is 12 ft from the side of the house find the length of the ladder if necessary round your answer to the nearest tenth
Answer:
[tex] {h =}^{2} = {p}^{2} \: + {b}^{2} [/tex]
[tex] {h}^{2} = {16}^{2} + {12}^{2} [/tex]
[tex] {h}^{2} = 256 + 144[/tex]
[tex]h = \sqrt{400} [/tex]
[tex]h = 20[/tex]
therefore the length of the ladder is 20ft
PLEASE HELP!!!!! WORTH 40 POINTS
Answer:
B : 3/2
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
answer is B. i think so...
[tex] \frac{54}{36} = \frac{3}{2} [/tex]
have a nice day
At a recent charity event there was a range of admission charges:
Family (2 Adults + 2 Children)
Adult
Senior
Child (5 to 16 years)
Child under-5
$44
$14
$12
$10
Free
In addition it was possible to buy Family tickets before the event at the reduced cost of $40 per
family.
At the gate tickets to the value of $40 000 were purchased, and prepaid tickets added a further
$10000 to the total income. For every Family ticket sold on the day, 1 Adult, 1 Senior, and 3 Child
tickets were sold and 2 under-5 children were admitted free of charge.
How many people attended?
A
B
c
4400
4600
4650
5400
Answer:
5400
Step-by-step explanation:
Given data
Family (2 Adults + 2 Children) = $44
Adult = $14
Senior = $12
Child (5 to 16 years) = $10
Child under-5 = Free
At reduced price family buys ticket at = $40
Total prepaid ticket sold = $10,000
Value of ticket sold at the gate = $40,000
Determine how many people attended
first step : determine number of family that purchased the prepaid tickets
= 10,000 / 40 = 250 families
∴ number people who booked prepaid tickets = 250 * 4 = 1000 people
Next step : Determine the number of families that booked the ticket at the gate
let the number of families = y
40,000 = 44 y + 12y + 3y * 10 + 14y + 2y *0
40,000 = y ( 100 ) hence y = 40,000 / 100 = 400
∴ number of people = 400 * ( 4 + 1 + 1 + 3 + 2 ) = 400 * 11 = 4400
Number of people whom attended = 4400 + 1000 = 5,400
A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream?
A. A two-sample t-test for a difference between means
B. A chi-square test of independence
C. A linear regression t-test for slope
D. A two-sample z-test for a difference between proportions
E. A matched pairs t-test for a mean difference
Answer:
The significance test that would be used to investigate whether there is convincing evidence at 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream is option C;
C. A linear regression t-test for slope
Step-by-step explanation:
The linear regression t-test for slope is a test for determining the existence of a statistically significant linear relationship between two variables, a independent variable, X and an dependent variable Y in the following form;
Y = B₀ + B₁·X
The test is used to test the regression line slope where we have;
B₀ = The constant
B₁ = The slope also known as the regression coefficient
The given information tested in the question is if an increase in the peaches in the ice cream is associated with an increase in the density of the ice cream, therefore, the test to investigate the relationship between the rate of both variables is the linear regression t-test for slope.
Therefore, we have
Y = B₀ + B₁·X
Where;
X = The percentage of peaches in the ice cream
Y = The density of the ice cream
AYUDAAAAA!!!
Partes de una cantidad
Es para hoy en la tarde porfis:-|
Answer:
I don't speak Spanish sorry༼ つ ◕_◕ ༽つ/_ \
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Answer:
Steps To Find The Distance Between Two Planes
Write equations in standard format for both planes.
Learn if the two planes are parallel.
Identify the coefficients a, b, c, and d from one plane equation.
Find a point (x1, y1, z1) in the other plane.
Substitute for a, b, c, d, x1, y1 and z1 into the distance formula.
Step-by-step explanation:
(10x-1)+(17x-8)=180
What is X?
Thanks so much xx
Answer:
X= 7
Step-by-step explanation:
Well first combine like terms
27x-9=180
Isolate from the variable
27x=189
x=7
The final answer is 7
Answer:
x =7
Step-by-step explanation:
( 10x -1) +(17x -8 ) =180
step 1 : since you have a plus sign in between it make it easy
so take care of the parentheses first
10x -1 + 17x - 8 = 180
step 2 : put together thw variable x
10x + 17x -1 -8 = 180
27x -9 =180
step 3 : take out -9 to the right and the sign will change
27x = 180 +9
27x = 189
x = 189 ÷ 27
x = 7
help me please aaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
v=-16
Step-by-step explanation:
-2=2+v/4
(we know that 2+-4=-2 so we can see if that works)
(4*-4=-16)
2+-16/4=-2
(-16/4=-4)
2+-4=-2
PLEASE HELP FAST 15 POINTS ANDWER IF YOU ONLY KNOW!
Answer:
i can see the question in ascending order
What is the Surface Area of the figure below?
A. 268 square inches
B. 134 square inches
C. 21 square inches
D. 240 square inches
Answer:
34.98 yds²
Step-by-step explanation:
To find surface area, we add together the area of each side. We have six sides, but there are three sets of identical sides, so it's easier to calculate.
We begin with the sides with dimensions 2.40 and 2.50. Multiply these together.
2.40 · 2.50 = 6
Since there are two of these sides, we can already say that the combined area of them is 12. So, we start the equation with 12.
Next, the two sides with dimensions 2.34 and 2.50. Multiply these together as well, to get 5.85. Multiply this by two to find the area of both sides, 11.7.
Add to our equation, for 12 + 11.7.
For the final two sides, we have the dimensions 2.34 and 2.40. Multiply to get 5.64. Multiply this again by two to find the area of both sides. We get 11.28. Add this to the equation as well, for 12 + 11.7 + 11.28= 34.98.
The answer is 34.98 yds². Good luck :)
HELP PLS ASAP PLS PLS DUE SOON
Answer:
blank 1: 63 degrees
heart if it helped!
What is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12?
Answer:
24
Step-by-step explanation:
Multiples of 16 are [tex]16,32,48,64,80,...[/tex]
Find product of each of the multiple of 16 until a number is obtained, the product of whose digits is a multiple of 12.
[tex]16=1(6)=6\\32=3(2)=6\\48=4(8)=32\\64=6(4)=24[/tex]
Here, 24 is a multiple of 12.
So,
24 is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12.
twenty and thirty-six thousandths in standards form
Answer:
twenty and thirty-six thousandths in standards form is 20.036
Answer:
20.006
Step-by-step explanation:
I think this is what you need but not a lot of info. sorry if it's not
Greg bought a jacket for $35.23, a flag for $10.75, and a baseball cap for $17.25. He paid $50 and
the rest he borrowed from his friend. If Greg got $6.77 in change from the cashier, how much did he
borrow from his friend to pay for all the items?
Answer:
His friend gave Greg a 20$ bill.
Step-by-step explanation:
35.23+10.75+17.25=63.23
63.23-50= 13.23
13.23+6.77= 20
Answer:
He borrowed $6.46
Step-by-step explanation:
Add the totals up together. 35.23 + 10.75 + 17.25 to get 63.23
Subtract 50 from 63.23 (63.23 - 50.00) to get 13.23.
Subtract 6.77 from 13.23 (13.23 - 6.77) to get 6.46.
He borrowed $6.46 from his friend!
Hope this helps! Pls make brainliest
1. Write a similarity statement if the triangles are similar
2. If the traingles are similar, state the triangle similarity postulate (shortcut) you used to prove similarity.
U
36
73
30
15
D
E
Answer:
The triangles are not similar
Step-by-step explanation:
The sides are not proportional
36/73 does not equal to 15/30
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.(Quadratic Word Problems (Profit/Gravity)
y=-16x^2+121x+83
Answer:
The rocket will hit the ground after about 8.20 seconds.
Step-by-step explanation:
The height of the rocket y, in feet, x seconds after launch is modeled by the equation:
[tex]y=-16x^2+121x+83[/tex]
We want to find the time at which the rocket will hit the ground.
If it hits the ground, the height of the rocket y will be 0. Thus:
[tex]0=-16x^2+121x+83[/tex]
We can solve for x. Factoring (if possible at all) or completing the square can be tedious, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = -16, b = 121, and c = 83. Substitute:
[tex]\displaystyle x=\frac{-(121)\pm\sqrt{(121)^2-4(-16)(83)}}{2(-16)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{-121\pm\sqrt{19953}}{-32}[/tex]
Divide everything by -1 and simplify the square root. The plus/minus will remain unchanged:
[tex]\displaystyle x=\frac{121\pm3\sqrt{2217}}{32}[/tex]
Therefore, our two solutions are:
[tex]\displaystyle x=\frac{121+3\sqrt{2217}}{32}\approx 8.20\text{ or } x=\frac{121-3\sqrt{2217}}{32}\approx -0.63[/tex]
Since time cannot be negative, we can ignore the second solution.
Therefore, the rocket will hit the ground after about 8.20 seconds.