Answers
Answer:
Line: y = Mx + b, passes (0, 1) => M*0 + b = 1 => b = 1
Line: y = Mx + 1, pass (2, 4) => 2M + 1 = 4 => M =3/2
=> Line: y = (3/2)x + 1
Hope this helps!
:)
Related Questions
A number is chosen at random from 1 to 10. Find the probability of selecting a 6 or greater.
Answers
Answer:
1/2
Step-by-step explanation:
p(event) = (number of desired outcomes)/(total number of outcomes)
How many different outcomes are there? You can choose 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10, so the total number of possible outcomes is 10.
How many outcomes are desired. The desired outcomes are any outcomes with a number 6 or higher. Which numbers are 6 or higher? 6, 7, 8, 9, 10. There are 5 outcomes that are 6 or higher, so there are 5 desired outcomes.
p(event) = (number of desired outcomes)/(total number of outcomes)
p(event) = 5/10 = 1/2
Answer: 1/2
Tristen is building 3 trophies using Legos. He needs 324 total Legos. Tristen uses 220 Legos for the largest trophy and 135 Legos for the smallest trophy. How many Legos will he use to build the final trophy
Answers
Answer: 166
Step-by-step explanation:
Number of trophies = 3
Total Legos required for all trophies = 324
Number of Legos for largest trophy(A) = 220
Number of Legos for smallest trophy(B) = 135
Number of Legos required for final trophy(C)
=?
Total Legos = [Number of Legos for largest trophy(A) + Number of Legos for smallest trophy(B) + Number of Legos required for final trophy(C)]
324 = 220 +135 + C
324 = 355 + C
324 - 355 = C
-31 = C
135 + 31 = 166
Answer:
614 legos
Hope this helps.....
What is the volume of each cube?
a) 10 cm
b) 8.5 cm
Answers
Answer:
a) V = 1000 cm³
b) V = 614.125 cm³
Step-by-step explanation:
a) side length a = 10 cm
face diagonal f = 14.142135623731 cm
solid diagonal d = 17.320508075689 cm
surface area S = 600 cm²
volume V = 1000 cm³
___________________________
b) side length a = 8.5 cm
face diagonal f = 12.020815280171 cm
solid diagonal d = 14.722431864335 cm
surface area S = 433.5 cm²
volume V = 614.125 cm³
_____________________________
Formula: V=a³
A contractor bought 8.2 ftsquared of sheet metal. She has used 3.5 ftsquared so far and has $141 worth of sheet metal remaining. The equation 8.2xminus3.5xequals141 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answers
Answer:
The cost of a sheet metal per square foot is $30
Step-by-step explanation:
Given
Size of Sheet Metal = 8.2ft squared
Used Sheet Metal = 3.5ft squared
Worth of leftover sheet = $141
Equation: [tex]8.2x - 3.5x = 141[/tex]
Required
Find the cost per square foot of the sheet metal
Solving for x in the above equation will give the cost per square foot of the sheet metal.
[tex]8.2x - 3.5x = 141[/tex]
[tex]4.7x = 141[/tex]
Divide both sides by 4.7
[tex]\frac{4.7x}{4.7} = \frac{141}{4.7}[/tex]
[tex]x = \frac{141}{4.7}[/tex]
[tex]x = 30[/tex]
Hence, the cost of a sheet metal per square foot is $30
Two variables are always sometimes I never) correlated.
4. In the U.S., from 2004 - 2015, the correlation coefficient for the relationship
between the size of a cell phone data plan, x, and the number of text
messages sent, y, is r = +0.97. Describe the relationship between the data
plan size and the number of text messages sent in the U.S.
Answers
Answer:
There is strong positive correlation between the size of a cell phone data plan and the number of text messages sent in the U.S.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent). The correlation coefficient value ranges from -1 to +1.
Positive correlation is an association amid two variables in which both variables change in the same direction.
A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
The closer the the correlation coefficient value gets to +1 or -1, the stronger relation becomes.
The correlation coefficient for the relationship between the size of a cell phone data plan, x, and the number of text messages sent, y, is:
r = +0.97
The correlation coefficient is closer to +1.
Thus, there is strong positive correlation between the size of a cell phone data plan and the number of text messages sent in the U.S.
combine the like terms to simplify the expression 2x+3y-5x+4y-8z
Answers
Answer:
7y-3x-8z
Step-by-step explanation:
(3y+4y)+(2x-5x)-8z
7y+(2x-5x)-8z
7y-3x-8z
A sandwich shop is ordering apples and grapes to make chicken salad.Apples cost $2.19 per pound and grapes cost $2.60 per pound. If they ordered a total of 20 pounds of apples and grapes and pair $35.80. How many pounds of grapes did they order?
Answers
Answer:
Grapes=19.51
Step-by-step explanation:
Apples=$2.19 per pound
Grapes=$2.60 per pound
Apples+Grapes=20 pounds
A+G=20
A=20-G
Equation is
PaA+PgG=35.80
2.19A+2.60G=35.80
2.19(20-G)+2.60G=35.80
43.8-2.19G+2.60G=35.80
43.8-0.41G=35.80
-0.41G=35.80-43.8
-0.41G=-8
Divide both sides by 0.41
G=19.51 pounds
Recall
A=20-G
A=20-19.51
A=0.49 pounds
They ordered 19.51 pounds of grapes.
let us say they ordered 'x' pound of grapes.
so, the quantity of apples ordered = (20-x) pound
it is given that
cost of the apple= $2.19 per pound
cost of the grapes= $2.60 per pound
according to the given scenario,
total cost = $35.80
What will be the total cost?the total cost will be the sum of the cost of apples as well as grapes.
2.60x + 2.19(20-x) =35.80
-0.41x = 8
x = -19.51 pounds
therefore, they ordered 19.51 pounds of grapes.
to get more about word problems refer to the link,
https://brainly.com/question/13818690
Which equation is equivalent to the following?
2x^2 - 12x + 2y^2 + 20y - 28 = 0
1) 2(x-3)^2 +2( y+5)^2=44
2) 2(x-3)^2+2(y+5)^2=60
3) 2(x-3)^2+2(y+5)^2=62
4) 2(x-3)^2+2(y+5)^2=96
Answers
Answer:
Therefore, the equivalent expression is: 2*(x - 3)² + 2*(y + 5)² = 96. Number 4)
Step-by-step explanation:
In order to find the equivalent expression, lets first factor the common term, which is "2":
2*(x² - 6*x + y² + 10 *y - 14) = 0
If we look closely to the terms that have "x" and "y", they both have a square structure, therefore we can complete the squares by manipulating the indepent term. Let's first check the term with "x" and "y":
x² - 6*x + c² = x² - 2*3*x + c² = (x - c)²
y² + 10*y + d² = y² + 2*5*y + d²= (y + d)²
In order to complete the squares, c must be equal to 3 and d must be equal to 5. We can arrange that, by summing and subtracting these numbers squared, we have:
2*(x² - 6*x + 3² + y² + 10 *y +5² - 14 - 3² - 5²) = 0
2*(x² - 6*x + 3²) + 2*(y² + 10*y + 5²) -28 - 18 - 50 = 0
2*(x - 3)² + 2*(y + 5)² = 96
Therefore, the equivalent expression is: 2*(x - 3)² + 2*(y + 5)² = 96
Answer:
2*(x - 3)² + 2*(y + 5)² = 96.
Step-by-step explanation:
The circumference of a circle is 15.9mm.
Find the length of the radius.
Give your answer rounded to 1 DP.
PLEASE HELP
i will give you brainiest if you can can answer in 3 minutes
Answers
Answer:
R = 2.6 mm
Step-by-step explanation:
D = C ÷ π
D = 15.9 ÷ 3.14
D = 5.06
D = 5.1 mm
R = D ÷ 2
R = 5.1 ÷ 2
R = 2.55
R = 2.6 mm
Answer:
r = 2.5 mm
Step-by-step explanation:
The circumference of a circle has the following formula.
circumference = 2πr
where
r = radius
π = 3.14
circumference = 15.9 mm
circumference = 2πr
15.9 = 2 × 3.14 × r
15.9 = 6.28 r
divide both sides by 6.28
r = 15.9/6.28
r = 2.53184713376
Rounding to 1 decimal place
r = 2.5 mm
What is the multiplicative inverse of the number 7?
Answers
Answer:
1/7
Step-by-step explanation:
Another word for multiplicative inverse is reciprocal
It is the number that when multiplied by the original number gives you one
7 * x = 1
Divide by 7
7x/7 = 1/7
x = 1/7
The multiplicative inverse of 7 is 1/7
Answer:
The multiplicative inverse of 7 is 1/7
Step-by-step explanation:
A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. For example, if you have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1.
Find the missing height, when you know the area of the rectangle 9+9+?+?=126
Answers
Answer:
54
Step-by-step explanation:
First take
9 + 9 = 18
Then,
126 - 18 = 108
Then,
108 / 2 = 54
Which is the height
Hope this helps you. :)
Have a good day!
This formula counts for both height and width when you have the area.
Use the drawing tool(s) to form the correct answers on the provided graph.
Consider the given function.
h( x ) = ( x + 1 )^2 - 4
Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of the function.
Will be giving 30 pts, Brainliest, and thanks to anyone who answers plz help quick!!!!!!!!
Answers
Answer:
h( x ) = ( x + 1 )^2 - 4 x(h)×(÷×1)^2-4
Answer:
Step-by-step explanation:
Recognize from examining this function h( x ) = ( x + 1 )^2 - 4 that it is a quadratic function whose graph is a parabola that opens up. The vertex is at (h, k): (-1, -4). The axis of symmetry is the vertical line passing through the vertex: x = -1.
To find the y-intercept, let x = 0 and solve for y: h(0) = (0 + 1)^2 - 4 = -3. Thus, the y-intercept is (-3, 0).
To find the x-intercepts, set y = 0 and solve for x: 0 = h(x) = (x + 1)^2 - 4, or
(x + 1)^2 = 4. Taking the square root of both sides, we get x + 1 = ±2, whose roots are x = 1 and x = -3: (1, 0) and (-3, 0).
Graph all of these points and the axis of symmetry. Sketch the parabola that goes through these points.
a man walks around a field once.
a runner runs around the field 6 times in the same time
the walker walks at 3m/s
calculate the speed of the runner.
Answers
Answer:
I hope it's correct.
Step-by-step explanation:
1 time=3m/s
6times(the runner is faster)
It will be, 6/1×3=18m/s
Everything thanksss.
Answers
Answer:
433
Step-by-step explanation:
Break apart into 3 hundreds, 1 ten, and 2 ones.
745 - 300 = 445
445 - 10 = 435
435 - 2 = 433
Answer:
[3] [2] [300] [445] [445] [435] [435] [2] [433]
Step-by-step explanation:
3 hundreds 1 ten 2 ones
745-300 = 445
445 -10 = 435
435 -2 = 433
The volunteers at the animal shelter are drawing slips of paper from a hat to determine which day each volunteer will clean the litter boxes. When it is Odessa's turn to pull from the hat, there are 2 Wednesday slips, 8 Thursday slips, and 6 Friday slips remaining. What is the probability that Odessa will randomly draw a Wednesday slip?
Answers
Answer:
1 / 8
Step-by-step explanation:
There are 2 + 8 + 6 slips in total
There are 2 Wednesday slips.
2 / 16 = 1 / 8
Give two original examples of finite set.
Answers
Answer:
The set of all persons in America is a finite set.
The set of all birds in California is a finite set.
Step-by-step explanation: hope those help
What is the third side of 5 and 7 phyagorean theorem
Answers
Look at the attached picture
Hope it will help you...
Good luck on your assignment
what is the answer to 23.5% of 120?
Answers
Answer: the answer is
Step-by-step explanation:
Answer:
2791.8
Step-by-step explanation:
23.5×120=2820
2820÷100=28.2
2820-28.2=2791.8
PLEASEEE ANSWER I NEED HELP NOW!!!!
Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.
Answers
Answer:
1: [tex]\frac{6}{14}[/tex]
2: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
1: the number of yellow marbles is 6
the number of marbles in the bag is 14
the probability of yellow marbles out of the bag is
number of yellow marbles over number of marbles in the bag
2: there are only two sides
one head and one tail
head over tail is [tex]\frac{1}{2}[/tex]
Find GH.
picture is attached
Answers
Answer: 4.6
Step-by-step explanation:
GH is equal to 4.6 since it is congruent to JH. GJ is one line, which makes angles GKH and JKH supplementary angles. Since angle GKH = 90, angle JKH must also equal 90, making these triangles similar. However, if you wish to see it done out mathematically, the following explanation is there:
[tex]a^{2} + b^{2} = c^{2}[/tex]
3.6^2 + HK^2 = 4.6^2
HK^2 = 4.6^2 - 3.6^2
HK^2 = 8.2
HK = 2.86
HK^2 + GK^2 = GH^2
8.2 + 12.96 = GH^2
GH = 4.6
-4-2/3x= -6 by adding 4 to both sides
Answers
Answer:
Yes
Step-by-step explanation:
You have to add 4 on both sides to get X by itself. Then, you solve for X by multiplying the Denominator.
An experiment consists of randomly drawing a cube from a bag containing three red and two blue cubes.
2. List the probability of each outcome in the sample space.
3.
Is the probability of selecting a red cube equal to the probability of selecting a blue cube? Explain.
Answers
Answer: 2)The probability of drawing a red cube is 3/5 and the probability of drawing a blue cube us 2/5.
3) No the probability of selecting a red cube is not equal to probability of selecting a blue cube because the outcomes 3/5 and 2/5 are not equal.
Step-by-step explanation:
The probability of each outcome in the sample space is:
Probability of drawing a red cube = 3/5
Probability of drawing a blue cube = 2/5
No, the probability of selecting a red cube is not equal to the probability of selecting a blue cube.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required event / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The sample space of this experiment consists of the possible outcomes of randomly drawing a cube from the bag.
There are two possible outcomes: either a red cube is drawn or a blue cube is drawn.
So, the probability of each outcome in the sample space is:
Probability of drawing a red cube = 3/5
Probability of drawing a blue cube = 2/5
No, the probability of selecting a red cube is not equal to the probability of selecting a blue cube.
This is because there are more red cubes in the bag than blue cubes, so the probability of drawing a red cube is higher than the probability of drawing a blue cube.
Specifically, the probability of drawing a red cube is 3/5, which is greater than the probability of drawing a blue cube, which is 2/5.
Thus,
The probability of each outcome in the sample space is:
Probability of drawing a red cube = 3/5
Probability of drawing a blue cube = 2/5
No, the probability of selecting a red cube is not equal to the probability of selecting a blue cube.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
what are 2 binomials that are factors of this trinomial? x^2-x-20
Answers
Answer:
(x-5) (x+4)
Step-by-step explanation:
x^2-x-20
What two terms multiply to -20 and add to -1
-5*4 = -20
-5+4 = -1
(x-5) (x+4)
Answer:
( x - 5 )( x + 4 )
Step-by-step explanation:
PLEASE HELP!! thank you
Answers
Answer:
100^2
Step-by-step explanation:
I believe it is 100 because one square is 10 times 5 which equals 50 since A=bh. If we multiply 50 times 2 or do the same for the other square and add the two areas together. We got 100^2.
PLZ MARK BRAINLIEST!!!
is their any identities like this:( a - b - c)²
PLEASE ANSWER THIS QUESTION I WILL MAKE U AS BRAINLIST JUST SAY YES OR NO
Answers
There aren’t any identities
please help with part b
Answers
Answer:
161391
Step-by-step explanation:
138000 x 16.95/100 = 23391
138000 + 23391 = 161391
A sports ball has a diameter of 27 cm. Find the volume of the ball.
Answers
Answer:
10,305.99 cm^3
Step-by-step explanation:
V=4/3πr^3=4/3·π·13.5^3≈10305.9947
Answer:
523.5988in³
Step-by-step explanation:
input Data :
Length = 5 in
Objective :
Find what is volume of the sphere for given input data?
Formula :
Volume =
4πr3
3
Solution :
Volume =
4 x 3.1416 x 53
3
=
4 x 3.1416 x 125
3
=
1570.7963
3
Volume = 523.5988 in³
Help me please I need help in this math
Answers
Answer:
Step-by-step explanation:
AB
away fram house
2km 4mins
rate: 1km\minute
BC
away from house
5km 6mins
rate:0.83km\minute
CD
niether
0km 9mins
no rate
DE
toward house
6km 15mins
0.4km\minute
Graph y=2x on the coordinate graph above. Compare the two lines. Does either line represent a proportional relationship? Explain.
Answers
Answer:
IDK the other line.
Step-by-step explanation:
y=2x is a proportional relationship because it has a 1:2 ratio, where as the x increases by one point, the y value will constantly increase by 2 points.
Find the midpoint of the line segment joining (4, 8) and (–2, –6). A. (2, –2) B. (2, 2) C. (–1, –1) D. (1, 1)
Answers
Answer:
D
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]
Thus for the given points
midpoint = [ 0.5(4 - 2), 0.5(8 - 6) ] = (1, 1 ) → D