A .Write an equation for the trend line in slope -intercept form .
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].
Ashley deposited $4,000 into a savings account that earns 4% simple interest. How much interest did she earn after three years?
Answer:
for the 1st year she earned 160 so for 3 years she will earn $480
42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3=0
Answer:
Step-by-step explanation:
The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21. The positive nature of the discriminant tells us that there are two real, unequal roots. Following the quadratic formula, we get:
-3 ± √21
x = -----------------
2
Please help! Check to see if I have all of them correct! Will mark brainlist
identify the equation whose graph is a vertical line.
a) y=x/3-1
b) y=0
c) x=0
find the surface area of the pyramid
Answer:
864cm squared
Step-by-step explanation:
The base is 16 x 16
The 4 lateral faces (Triangles) are [(19 x 16) / 2 ] x 4}
Please help me out with this
Answer:
Step-by-step explanation:
surface area = 3^2 : 11^2
volume = 3^3 : 11^3
width = 3: 11
hmm I'm not sure what you can enter into the text boxes.. if it won't let you put in the exponentials just use your calculator to put in the number that they equal. But I like the exponential form better.
Which is equivalent to x2 - 4x = 12 by completing the square
Answer:
x = 6 , − 2
Step-by-step explanation:
Can some please help me on question 2 I am just confused.
Answer:
ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost
Step-by-step explanation:
find the area please
Answer:
86.54625
Step-by-step explanation:
Formula: a = πr², r = d/2
Given: π = 3.14, d = 10.5
Sub: a = (3.14)r²
Find r.
10.5/2
5.25
Sub: a = (3.14)5.25²
Solve: 86.54625
A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a side of 15. If the volumd of the two prisms are equal, what is the height of the second prism?
Answer:
6cm
Step-by-step explanation:
correct for 100 points i swear
Emma bought three cans of tennis balls for $4 each. Sales tax for all three cans was $0.95. Wh
expression shows what Emma paid?
Answer:
4(3)+0.95=X
Step-by-step explanation:
Answer:
A sixth-grade student bought three cans of tennis balls for $4 each.
The sales tax for each can was $0.95.
To Find :
The total amount the student spent.
Solution :
Price of each can including taxes :
p = $( 4 + 0.95 )
p = $4.95
So, price of 3 such cans including tax is :
P = p×3
P = $( 4.95×3 )
P = $14.85
Therefore, total amount spend by the student is $14.85 .
Step-by-step explanation:
I need help I'm struggling :(
Can someone please help me with math.
Answer:
B
Step-by-step explanation:
The solution to a system of equation is when two lines pass and intersect ona specific point. Here we are looking for (0,1).
we can see b intersects on (0,1) so that is out answer.
What’s the formula to find the area of a right triangle? (pythagorean theorem)
Answer:
multiply the hight and length then divide it by 2
Step-by-step explanation:
additive inverse of 8/-13 pls help fast
Answer:
8/13
hope this answer helps you.....
A bottle of soap costs $3.45 for 64ounces. What is the cost per ounce?
Answer:
$0.05
Step-by-step explanation:
All you have to do us divide the cost by the amount of ounces
3.45 ÷ 64 is about 0.05
The full answer is 0.05390625
Since we are talking about money, it should be $0.05
A new savings account is opened with $400 and gains 3% every year. What is the value of the account at 32 years?
Answer:
1072
Step-by-step explanation:
A zoo starts off with 8 monkeys, and the monkeys population
doubles every year. How many monkeys are in the zoo after 4
years?
monkeys
Answer:
32
Step-by-step explanation:
James wants to cover a floor measuring 90 cm by 120 cm with square tiles of the same size.
Given that he uses only whole tiles, find the largest possible length of the side of each tile
Answer:
30cm
Step-by-step explanation:
Find L.C.M of 90 and 120
Find the value of x.
Anyone help me solve for y.
Answer:
y = - 4
Step-by-step explanation:
Given
y = 2x + ( - 2) , that is
y = 2x - 2 ← substitute x = - 1
y = 2(- 1) - 2 = - 2 - 2 = - 4
This is confirmed by the point (- 1, - 4 ) on the graph
Compare the functions shown below: g(x) f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3 Using complete sentences, explain which function has the greatest y-intercept.
Answer:
3 h(x) = 4 sin(2x + π) + 3
Step-by-step explanation:
The function h(x) has a greater y-intercept
How to compare the functions?The functions are given as:
f(x) = -3x + 2 h(x) = 4 sin(2x + π) + 3Set x to 0,to calculate the y-intercepts
f(0) = -3(0) + 2 = 2
h(0) = 4 sin(2(0) + π) + 3 = 3
From the above computation, we have:
f(0) = 2
h(0)= 3
By comparison, we have:
h(0) > f(0)
This means that the function h(x) has a greater y-intercept
Read more about y-intercepts at:
https://brainly.com/question/1884491
Someone pls help:( im new tysm if u doo!
what is the product
4/6 x 9
13/16
36/54
3
6
A quantity with an initial value of 980 decays exponentially at a rate of 0.3% every 6 decades. What is the value of the quantity after 49 decades, to the nearest
hundredth?
Answer:
956.73
Step-by-step explanation:
0.3% = 0.003
1-0.003 = 0.997
49/6 = 8 r1 (use 8 because decay is not continuous)
0.997^8 = 0.97625...
0.97625... x 980 ≈ 956.73
Answer: 956.25
Step-by-step explanation:
A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length BD.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ AD² + CD² = AC²
The value of AD is 54 and the value of AC is 90:
54² + CD² = 90²
Solve for CD:
54² + CD² = 90²
CD² = 90² - 54²
CD² = 5184
CD = √5184
CD = 72
ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ BD² + CD² = BC²
The value of CD is 72 and the value of BC is 97:
BD² + 72² = 97²
Solve for BD:
BD² = 97² - 72²
BD² = 4225
BD = √4225
BD = 65
Answer: The length of BD is 65 units.
10. Mason earns $10 for each lawn he mows. How much will he earn if he mows 6 lawns?
A. Write and solve an equation to solve the problem. Show your
work.
Answer:
60
Step-by-step explanation:
just multiply 10 by 6 why is this in highschool math though.
What is 2 2/13 divided by 2/3
Answer:
3.23
Step-by-step explanation:
Answer:
the answer is 3.23 hahahhhhahahhahndjalid;jslakjsakl sorry needed that to submite the answer
Which one doesn’t belong?
Come up with one reason for at least 3 different boxes
Answer:
I think box #1 doesnt't belong because it say spend $100 and get $10 off
Step-by-step explanation: