Answer:
Slope, b = 1.38 ; intercept, a = - 0.56 ;
Y = - 0.56 + 1.38x
Step-by-step explanation:
Given that :
xbar = 12
ybar = 16
r = .46
Sy = 18
Sx = 6
The equation of a line can be expressed as :
Y = a + bx
Where ;
a = intercept ; b = slope ; x = independent variable ; y = dependent variable
The slope b ; can be obtained using the relation :
b = r(Sy / Sx)
= 0.46(18/6)
= 0.46(3)
= 1.38
The intercept a, can be obtained using the relation :
Ybar - b(Xbar)
16 - 1.38(12)
16 - 16.56
a = - 0.56
Hence ;
Slope, b = 1.38 ; intercept, a = - 0.56
Th equation of the line will be :
Y = - 0.56 + 1.38x
One number is 2 less than a second number.twice the second number is 37 more than 5 times the first. Find more the two number
Answer:
The numbers are -11 and -9.
Step-by-step explanation:
The two numbers are x and y.
x = y - 2
2y = 5x + 37
2y = 5(y - 2) + 37
2y = 5y - 10 + 37
3y = - 27
y = -9
x = - 11
According to the table, during which interval did the average time spent on hold increase?
O week 1 to week 3
O week 1 to week 4
O week 4 to week 6
week 3 to week 5
Answer:
d
Step-by-step explanation:
took the quiz
What is the gfc of 24 and 36
Answer:
6 is the gfc
Step-by-step explanation:
hope this helped :-)
Answer:
it is -
Step-by-step explanation:
Help me again!!!!!!
!!!!
Answer:
D
Step-by-step explanation:
the part two shows that 20 tickets were purchased adult and child
adults were 15 dollars and added with the childs10 dollar tickets added togethor to get 225 dollars.
The 7th-grade class took a survey on their favorite ice cream. 58 people said they prefer vanilla, while 28 people said they prefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in a :b form)
Jaime purchased both a trumpet and a violin for the same amount of money for his music store where he sells used instruments. He marked the trumpet up 40% and sold it for $84. He marked the violin up 45% and sold it to a customer who had a coupon for 15% off any instrument. How much did the customer pay for the violin?
Answer:
12
i think this correct answer
a plane ticket to Barcelona costs £175
Answer:
Given:
A plane ticket to Barcelona costs £175 the price decreases by 6%
To find:
The new price of the plane ticket
Solution:
The ticket to Barcelona costs £ 175
The price decreases by 6%
⇒ 6% = 6/100 = 3/50
The new price of the plane ticket is decreased by the amount,
= £ 175 × 3/50
= £ 10.5
Therefore, the new price of the plane ticket is given by,
= £ 175 - £ 10.5
= £ 164.5
ik this question i got at school
Answer: £175
Step-by-step explanation:
You said it costs £175
Alto's dove 9 meters below the ocean's surface. She then dove 15 meters deeperShe then rose 19 1/4 meters. What was her position in realtion to the surface of water?
Answer:
Alto was 4.75 meters under the water, or -4.75.
Step-by-step explanation:
Alto dove 9 meters and then 15 meters. We can add those two which is 24 meters. Then she rose 19 and 1/4, so we have to subtract that from 24.
I hope this helped, and if it did I would appreciate it if you marked me brainliest.
thank you and have a nice day!
josh earned $30,000 last year if the tax rate was 15%,how much money can he keep after taxes
Answer:
25500
Step-by-step explanation:
15% of 30000 is (multiply 30000 by .15 to get this) 4500
Subtract 4500 from 30000 and you got the answer
• You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of α. Derive an expression for the enclosed area A(α) with respect to the angle (see drawing).
9514 1404 393
Answer:
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
Step-by-step explanation:
If we place the bottom center at the origin and make the sides of the triangle 2 units, then the right side can be described by the equation ...
y = √3(1 -x)
and the terminal side of the angle α can be described by ...
y = tan(α)·x
We want the height of the shaded area, which is the y-coordinate of the point of intersection of these two lines.
y = √3(1 -y/tan(α)) . . . . substituting for x
y = √3·tan(α)/(√3 +tan(α)) . . . . solved for y
Since we have defined the base of the shaded area to be 1, the shaded area is half this value, or ...
A(α) = (√3/2)tan(α)/(√3 +tan(α))
Further manipulation can put this in the form ...
A(α) = (√3/4)sin(α)/sin(α+π/3) . . . . for α ≤ π/2, side length 2
__
For α > π/2, we need to subtract the area A(π-α) from the area of the whole triangle. This gives an area (after some rearranging) of ...
A(α) = √3(1 -sin(α)/(4·sin(α-π/3))) . . . . for α > π/2, side length 2
__
The problem statement defines the triangle as having a side length of 'a', so the final area formula will be a factor of (a/2)² times the above expressions. That is ...
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
_____
The graph (second attachment) shows the area as a function of α (in degrees) for a unit triangle. There are inflection points in the curve at 30°, 90°, and 150°
Write the algebraic notation for dilation with a scale factor of ½
Answer: (x, y) goes to (1/2x, 1/2y)
Step-by-step explanation:
if you need help with Math:)
Answer:
Thanks!
Step-by-step explanation:
I already have it on my phone tho lol
8(a+4)=___a+___ PLZ HELP IM STUCK ON THIS
Answer:
8(a+4)=8a+32
Step-by-step explanation:
Use the distributive property.
-y=-6x-3
write in the slope-intercept form please!: y=mx+b
please show work too!
Answer:
y = 6x + 3
Step-by-step explanation:
Since you can't have a negative y in a y = mx + b equation you have to make it postive. You also have to do everything you do on one side to the other. To do this you have to multiply everything by -1. This will make everything positive b/c it cancels out the other negative. (Two negatives equals a positive) You should be left with y = 6x + 3. The -1 cancelled the -y, -6x, and -3 so you add 3 instead of subtract it.
y = 6x + 3
- 9j + -11 = 61
What is this?
Answer:
j= - 8Step-by-step explanation:
- 9j + -11 = 61
-9j = 61 + 11
-9j = 72
j = - 8
Factor the Expression. 121x + 44 *
11(10x + 4)
21x + 4
11(11x + 44)
11(11x + 4)
i like chicken nuggets
Answer:
what the heck is this
Step-by-step explanation:
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
A. (−2, −8)
B. (−8, −2)
C. (6, −10)
D. (−10, 6)
Thank you if you can help me!
5(y + 2) = 6(y - 1)
Show work
Please and thank you
Answer:
5 ( y + 2) = 6 ( y - 1)
- distribute the number outside into the parenthesis by multiplying it with each value
5y + 10 = 6y - 6
- subtract like terms, in this case 5y and 6y
-y + 10 = -6
- isolate the variable ( y) by getting rid of 10 by subtracting it to both sides
-y = -16
-1y = -16
- isolate variable (y) by getting rid of the -1 next to it by dividing it to both sides
y = -16 / -1
y = 16
Use the distributive property to expand the following expression.
-2(2.1x+3y-1.8)
WILL MARK BRAINLYEST
Find the 12th term of the geometric sequence 2, 10,50,...
The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.
Geometric sequence:Important information:
Given geometric sequence is 2, 10,50,...We need to find the 12 th term.
In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].
The nth term is:
[tex]a_n=ar^{n-1}[/tex]
Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.
The 12th term is:
[tex]a_{12}=2(5)^{12-1}[/tex]
[tex]a_{12}=2(5)^{11}[/tex]
[tex]a_{12}=97656250[/tex]
Therefore, the 12th term of the geometric sequence is 97656250.
Find out more about 'Geometric sequence' here:
https://brainly.com/question/17321783
Answer: 97656250.
Step-by-step explanation:
dm
pls help me whats 5x4
I need help with this assignment
Answer:
1) 3x = 2x + 50
3x - 2x = 50
X= 50
2)6x = 2x + 44
6x - 2x = 44
4x = 44
divide both sides by 4
X = 11
3)8x = 2x + 36
8x - 2x = 36
4x = 36
divide both sides by 4
X = 9
4) 4x = X + 18
4x - X = 18
3x = 18
divide both sides by 3
X= 6
5) 7x + 10 = 3x + 120
collect like terms
7x - 3x = 120 - 10
4x = 110
divide both sides by 4
X = 27.5
6) 20 + 2x = X + 56
collect like terms
2x - X = 56 - 20
X = 36
7) already done
8)12x + 12 = 3x + 84
collect like terms
12x - 3x = 84 - 12
9x = 72
divide both sides by 9
X = 8
9) 3 + 6x = 2x + 27
collect like terms
6x - 2x = 27 - 3
4x = 24
divide both sides by the coefficient of X (4)
X = 6
10) 8x + 2 = 72 + X
collect like terms
8x - X = 72 - 2
7x = 70
divide both sides by the coefficient of X (7)
X = 10
11) 2x + 20 = X + 60
collect like terms
2x - X = 60 - 20
X = 40
12). 4x + 1 = 25 + 2x
collect like terms
4x - 2x = 25 - 1
2x = 24
divide both sides by the coefficient of X (2)
X = 12
I hope this helps
Dan uses 340 grams of blueberries to make 24 fluid ounces of smoothie. last week he made 54 fluid ounces of smoothie. how many grams of blueberries did dan use last week?
Answer: He used 765 grams of blueberries.
Step-by-step explanation:
The quantity of blueberries is directly proportional to the quantity of smoothie.
Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]
[tex]y_2=54\text{ fluid ounces}[/tex]
To find : [tex]x_2[/tex]
[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]
[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]
Hence, he used 765 grams of blueberries.
find the value of 3v - 10 given that -2v + 4 = 8
Answer:
-16
Step-by-step explanation:
v=-2
I found this because since it is given that -2v+4=8; If v=-2 then the equation is true, because -2(-2) + 4 = 8. So since v=-2, plug in -2 into v of 3v-10; which would be (3(-2))-10, which is equal to -16.
what fraction is not equivalent to 9/12 A. 16/24 B. 15/20 C. 6/8 D. 24/32
Answer:
the answer is d
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
The simplified answer is 3/4. A simplifies to 2/3. B simplifies to 3/4. C simplifies to 3/4. D simplifies to 3/4. To get my answer I divided all of the fractions and saw which ones equalled .75 .
Which is a property of an angle?
Answer:
I believe that it is the last answer. have a great day!
Consider the equation y = 3x - 1. Identify the slope and y-intercept and
sketch the graph.
can you guys help me pleasee ?
Answer: slope=3
y intercept :(0, -1)
Step-by-step explanation:Use the slope-intercept form to find the slope and y-intercept
The sum of two numbers is 8. The difference of the same two numbers is 4. What are the two numbers?
Answer:
2 and 6
Step-by-step explanation:
2+6=8. 6-2=4.
Answer:
2 and 6
Step-by-step explanation:
If a person walks 1/4 of a mile in 1/8 of an hour. Determine how many miles they are running per hour.
Answer:
1&1/8 m/h
Step-by-step explanation:
2/8 of a mile = 1/8 of an hour
add 7/1 to both sides thats 1 and 1/8 of a mile in 1 hour
Find the cost with sales tax for an item with a purchase price of $7. Assume that the sales tax is 8%, or 0.08 times the price.
Group of answer choices
Answer:
$7.56
Step-by-step explanation:
$7(.08) = .56 in tax
$7 item cost + .56 in tax