Answer:
y = 26.45 + 32.45x - 9.25x
Step-by-step explanation:
Given the data:
X : _____ 0 _____ 1 ______2 _______ 3
Y : _____29 ____42 _____62 ______ 38
The quadratic regression model has the general equation :
y=A+Bx+Cx2
Fitting the data using a quadratic regression calculator, the equation of best fit obtained is ;
y = 26.45 + 32.45x - 9.25x
a cube is dilated by a scale factor of 3/4 to create a new cube. what is the surface area of the new cube.
Answer:
9/16
Step-by-step explanation:
i took the test ;)
The surface area of the new cube is (27/8) times the surface area of the original cube
What is the surface area of cube?The formula for surface area of a cube is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.
Surface area S = 6a² ,
where a is the side of the cube
Given data ,
Let the original cube have side length 's'.
The surface area of the original cube is given by 6s^2, since a cube has 6 equal square faces.
When the cube is dilated by a scale factor of 3/4, each side length of the new cube is 3/4 times the length of the corresponding side of the original cube. Therefore, the side length of the new cube is:
s' = (3/4) s
The surface area of the new cube is also given by 6 times the area of one of its faces, which is:
(3/4)s x (3/4)s = (9/16)s²
Therefore, the surface area of the new cube is 6 times (9/16)s^2, or:
6 x (9/16)s² = (27/8)s²
Hence , the surface area of the new cube is (27/8) times the surface area of the original cube
To learn more about surface area of cube click :
https://brainly.com/question/12079637
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Dimensional Analysis Method (also called conversion factor or unit analysis) (Appendix D: Dimensional Analysis, Page 397) o The dimensional analysis method uses equivalences written in _____________________ form. o Because the numerator and denominator of the fraction are equivalent, the value of the fraction is __________ o Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label) o In order for units to cancel they must be in _____________________________ of the fraction.
Answer:
The dimensional analysis method uses equivalences written in fractional form. Because the numerator and denominator of the fraction are equivalent, the value of the fraction is 1. Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label). In order for units to cancel they must be in the numerator and the denominator of the fraction
Step-by-step explanation:
Dimensional analysis is a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication
Therefore, a fraction of two equivalent measurements but different units has a value of 1, and multiplying the equivalent fraction with another measurement with the same unit as the denominator of the fraction with a value of 1 changes the unit to that of the unit of the numerator
I’ve tried the other answers in this app but non of it workssss helpppp
Answer and Step-by-step explanation:
The lines are parallel, so that means that some angles are congruent to each other.
On the other side of 80 degrees, it would be 100 degrees (180 - 80 = 100).
Using the interior angles theorem, this means that the angle in the triangle and 50 added up are equal to 100. So, the angle C is equal to 50.
Now, because of the triangle angles sum theorem, the angles have to add up to 180, so we do 180 - 80 - 50, which is 50 (for angle A).
So, since the two angles have 50 degrees, the triangle is an isosceles triangle.
Hope this helps! (That is the explanation btw)
#teamtrees #WAP (Water And Plant)
3
Tanner purchased a new car for $10,000. The car's value is depreciating (Decreasing) by 5% each year. If this is an exponential situation, write an equation
for this situation, then determine the new value of the car after 3 years. Round your answer to two decimal places
Answer:
$8573.75
Step-by-step explanation:
The value of the car as a function of the number of years (t) is
V = $10,000(1.00-0.05)^t
which, after 3 years, comes to V = $10,000(1.00-0.05)^3 = $8573.75
20 points! I will mark brainliest
Answer:
the shortest distance is the distance from a point to a line that make 90° .
so AC is the shortest distance.
step by step explanationthen we have the find the distance between point A and C.to find that we use the distance formula .d^2=(-3-1)^2 + (-3--1)^2
=(-4)^2 + (-2)^2
=16 + 4
=20
d=√20
this is the distance between point A and point C.
Wile E. Coyote is pursuing the Road Runner across Great Britain toward Scotland. The Road Runner chooses his route randomly, such that there is a probability of 0.8 that he'll take the high road and 0.2 that he'll take the low road. If he takes the high road, the probability that Wile E. Catches him is 0.01. If he takes the low road, the probability he gets caught is 0.05.
Answer:
0.444
Step-by-step explanation:
The objective is to draw the tree diagram and find the probability that the roadrunner took the high road, given that he was caught.
The tree diagram is attached in the image below:
The required probability can be computed as:
[tex]P(high\ road \ | \ caught) = \dfrac{P(high \ road \ and \ caught)} {P(caught)} \\ \\ P(high \ road \ | \ caught) = \dfrac{P(high \ road \ and \ caught)}{P(high \ road \ and \ caught)+P(low \ road \ and \ caught)}[/tex]
[tex]P(high \ road \ | \ caught) =\dfrac{ 0.8*0.01 }{ 0.80*0.01 + 0.20*0.05} \\ \\ P(high \ road \ | \ caught) = \dfrac{0.008 }{ 0.008 + 0.01} \\ \\[/tex]
[tex]P(high \ road \ | \ caught) = \dfrac{0.008 }{ 0.018}[/tex]
[tex]\mathbf{P(high \ road \ | \ caught) = 0.444}[/tex]
The probability that he took the high road, given that he was caught is 0.444 and this can be determined by using the properties of probability.
Given :
The Road Runner chooses his route randomly, such that there is a probability of 0.8 that he'll take the high road and 0.2 that he'll take the low road. If he takes the high road, the probability that Wile E. Catches him is 0.01.If he takes the low road, the probability he gets caught is 0.05.The required probability is given by:
[tex]\rm P = \dfrac{P(High\;road\;and\;caught)}{P(Caught)}[/tex]
[tex]\rm P = \dfrac{P(High\;road\;and\;caught)}{P(High \;road \;and \;caught)+P(Low\; road\; and \;caught)}[/tex]
[tex]\rm P=\dfrac{0.8\times 0.01}{0.8\times 0.01 + 0.2\times 0.05}[/tex]
[tex]\rm P=\dfrac{0.008}{0.018}[/tex]
P = 0.444
The probability that he took the high road, given that he was caught is 0.444.
For more information, refer to the link given below:
https://brainly.com/question/23044118
if thier is 24 hours in a day and the sky taste like watermelon then how many people would be born tommorow?
Answer:
The answer is apple
Step-by-step explanation: If you break it out correctly, whenever the sky tastes like watermelon its a sign of the birth of apples.
Answer:
the answer is simply 14
Step-by-step explanation:
its ez dum baby brain
9. If LK = MK, LK = 7x - 10. KN = x + 3, MN = 9x - 11, and KJ = 28, find LJ.
M
K
L
N
write a polynomial that represents the shaded area of the figure below
Tony operates a skate rental company. He charges an equipment fee of $3 plus $6 per hour. Which equation represents this linear relationship? A. y= 6x+3 B. y= 3x + 6 C. y= -6x + 3 D. y= 3x - 3
Answer: A) y = 6x +3
Step-by-step explanation:
Let x represent the number of hours. $6 per hour can now be written as 6x.
Now, we must account for the $3 flat, fee and add it to 6x, getting 6x + 3
PLS HELP! A bicycle tire has a radius of 13.5 inches. How far will the bicycle travel in 100 rotations of the tiree?
Answer:
8482.3 inches
Step-by-step explanation:
You have to find the circumference of the wheel.
If the radius is 13.5, the diameter is 27 (13.5 x 2).
C = πd
C = π × 27
C = 27π
100 rotations means 27π × 100 = 2700π
= 8482.3 inches
Answer:
8478
Step-by-step explanation:
13.5x2xπ=84.78
84.78x100=8478
Find the area of a rectangle if length = 2a + b and breadth = 3a + c
Step-by-step explanation:
A=l×b
=(2a+b)(3a+c)
=6a²+2ac+3ba+bc
hope it helps.
Answer:
6a^2+2ac+3ab+b^2
Step-by-step explanation:
Given
length=2a+b
breadth=3a+c
Now,
Area=?
We know,
Area=l*b
(2a+b)*(3a+c)
2a(3a+c)+b(3a+c)
6a^2+2ac+3ab+b^2
You can use formula (a+b)^2
a^2+2ab+b^2
Will give brainliest please help
Write an expression in Simplest form for the perimeter of tha figure.
Answer:
6a + 2
Step-by-step explanation:
a + 3a - 1 + 2a + 3
6a - 1 + 3
6a + 2
Find the product.
2x(x +1)
Answer:
[tex]2x^2 + 2x[/tex]
Step-by-step explanation:
Multiply into the parentheses.
Simplify:
[tex]x(2x + 2)[/tex]
what are the domain and range?
Answer
Domain= {-6, -4, 3, 6}
Range= {2, 4, 6}
A car moving at a constant speed passed a timing device at t=0. After 7 seconds, the car has traveled 567 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
The required equation is:
d = 81tf(t) = 81tStep-by-step explanation:
We know that
distance = rate × t
Given that a car moving at a constant speed passed a timing device at t=0.
In other words, at t = 0 second, d = 0 ft.
After 7 seconds, the car has traveled 567 ft.
In other words, at t = 7 seconds, d = 567 ft
Thus, there are two points
(0, 0)
(7, 567)
Finding the slope between (0, 0) and (7, 567)
Using the formula
Slope = Rate of change = [y₂-y₁] / [x₂-x₁]
= [567 - 0] / [7-0]
= 567 / 7
= 81 ft/second
Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider
Thus, the required equation is:
distance = rate × t
d = 81 × t
d = 81t
or
f(t) = 81t
VERIFICATION
Given the equation
d = 81 × t
Put t = 0 to find the disatance in 1 sec
d = 81 × (0) = 0 ft
Put t = 7 to find the distance in 7 seconds
d = 81 × (7) = 567 ft
Solve for x, 3-5x=18
Answer:
X = 3
Step-by-step explanation:
18 - 3 = 15
5x = 15
divide both sides by 5
X = 3
Answer:
[tex]3 - 5x = 18 \\ - 5x = 18 - 3 \\ - 5x = 15 \\ x = \frac{15}{ - 5} \\ \boxed{x = - 3}✓[/tex]
x=-3 is the right answer.Solve the system of equations.
x+6y=-7
2x+12y=-14
x=
y=
Answer:
Solve the system of equations.
x+6y=-7
2x+12y=-14
x=1
y=12
Step-by-step explanation:
Answer:
∞ amount of solutions
1. Select the equations where y = 3 is the
solution. Circle all that apply.
A. y - 2=5
B. x = 0
c. = 1.5
D. y + 5 = 8
E. 15 - y = 12
F. 5y = 18
Pleaseee help
im giving most of my points pls help(49)
What is the volume of a right rectangular prism with a height of 15 feet, length of 24 inches, and width of 6 feet?
45 ft³
180 ft³
2160 ft³
4320 ft³
Answer:
180 ft^3
Step-by-step explanation:
volume=lwh
15 * 2* 6 = 180 ft^3
*change 24 inches to 2 feet*
Answer:
180 ft³
Step-by-step explanation:
To find the volume of a right rectangular prism, the equation is length x width x height. So, you would do 2 x 6 x 15, because 24 inches is 2 feet and the rest is given. And so, 2 x 6 x 15 = 180, so your answer is 180 ft³.
(hope this helps :P)
Easy question!!!! In the rhombus, 41-106. What are m 22 and m 23? The diagram is not drawn to scale.
Option 1 option 2 option 2 option 4
Answer:
Option 3
Step-by-step explanation:
A basket of fruit holds 12 apples, 24 pears, and 16 oranges. Find the ratio of apples, pears, and oranges in the basket.
Answer:
3:6:4
Step-by-step explanation:
We are given that
Number of apples in the basket=12
Number of pears in the basket=24
Number of oranges in the basket=16
We have to find the ratio of apples, pears and oranges in the basket.
[tex]12=4\times 3[/tex]
[tex]24=4\times 3\times 2[/tex]
[tex]16=4\times 2\times 2[/tex]
HCF (12,24,16)=4
Now, divide each number by HCF
Then, we get
3:6:4
Therefore, the ratio of apples, pears and oranges in the basket.
3:6:4
Five Candy bars cost $3.23. How much will 7 candy bars cost?
Answer:
$22.61
Step-by-step explanation:
m a t h
Answer:
$22.61 :)
Step-by-step explanation:
Six times a number minus 12. The result is Seventy two. What is the number?
Answer:
20 is the answer
Step-by-step explanation:
From the question we can deduce the formula to be 16 + 3n = 76
3n - 76 - 16
3n = 60
n = 20
20 is the answer.
Answer:
6x14-12=72
Step-by-step explanation:
6x14=84
84-12=72
Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
A. c+a=109
a=c+15
B. c+a=109
c=a+15
C. c+a15
a=c+109
D. c-a=15
c=a+109
Answer:
B
Step-by-step explanation:
A- angela
C- charli
the answer is b becasue their total together is $109, but since charli went over her data limit she has to pay an extra $15 so, if they split the bill and add $15 dollars to bill that is the amount charli has to pay so therefore, its B
c + a = 109
c = a + 15
Complete the inequality statement.
8 5/12___ 8 3/8
>
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=
will mark brainly please put the meanings i have 10 mins left
1.Topography
2. Landforms
3.Mountains
4. Coastline
5. Dune
6. River
7. Delta
8. Surveying
9.Model
Answer:
A river is ribbon like shape of water that flows downhill from the force of gravity. A body of water smaller than a river is often called a stream, creek, or pond.
A delta is a body of water that carries rushing water from rivers into lakes, oceans, etc.
Hope this helps!
Please mark brainliest!
Can you please help me
Joan wants to buy one Coke for $1 and some candy bars that cost $0.75 each.
She has no more than $10. At most, how many candy bars could she buy?
Answer:
12 candy bars
Step-by-step explanation:
10-1=9 9 divided by 0.75 is 12
Answer:he can buy 13 candy bars with the entire ten
Step-by-step explanation: 0.75x10 equals 9.75 and 0.75x14 equals 10.5
State which ordered pair could be added to the table of values to keep it a function.-
PLS HELP, I'LL MARK BRAINLEST AND GIVE 90 POINTS D:
Answer:
5
65
Step-by-step explanation:
+1
+10
