Answer:
I believe it is y=2x+6.
Answer:
[tex]y=2\,x+6[/tex]
Step-by-step explanation:
Start by finding the slope of the segment that joins the two given points, using the slope formula:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{12-(-4)}{3-(-5)} =\frac{16}{8} =2[/tex]
Now, you can write the general equation of the line in slope-intercept form as:
[tex]y=m\,x+b\\y=2\,x+b[/tex]
and find the line's y-intercept (b) by using either one of the given points - for example (3, 12):
[tex]y=2\,x+b\\12=2\,(3)+b\\12=6+b\\b=6[/tex]
Therefore, the equation of the line is:
[tex]y=2\,x+6[/tex]
under certain conditions, the average cost of a medium sedan in 2012 was $0.53 per mile. how much would it have cost to drive such a car 11,000 miles in 2012
Answer:
$5,830
Step-by-step explanation:
Multiply the miles by the cost per mile.
11,000 × $0.53 = $5,830
The cost to drive the car 11,000 miles is $5,830.
Perform the indicated operation. y^2 + 3y-10/3y+15 divided (10-5y)
Answer:
-1/15
Step-by-step explanation:
(y^2+3y-10)/(3(y+5)) / (5(2-y))
-----
Factor::
[(y+5)(y-2)/(3(y+5))] / (-5(y-2))
--------------
Cancel (y+5) and (y-2) to get::
= -1/15
which number line shows the solution to -3-{-1}?
Answer:
please send the picture of the number line.
Answer:me not know
Step-by-step explanation:
Hehuehuejejejje
Solve (x + 2)(2x + 3) = 6 {-2, -3/2} {-7/2, 0} {0}
Answer:x=−3/2 or x=−2
Step-by-step explanationLet's solve your equation step-by-step.
(x+2)(2x+3)=6(−2−3/2)(−7/2(0))(0)
Step 1: Simplify both sides of the equation.
2x2+7x+6=0
Step 2: Factor left side of equation.
(2x+3)(x+2)=0
Step 3: Set factors equal to 0.
2x+3=0 or x+2=0
x=−3/2 or x=−2
What is the answer for 29+n=13
Answer:
n=-16
Step-by-step explanation:
Answer:
n = - 16.............
................
what is the x intercept of this linear function. y=2x-3
Answer:
set y = 0 to get the x intercept,,,,,,,,,, 0 = 2x -3 = x = 3/2 or 1.5
Step-by-step explanation:
A cat welghs 10 pounds. What is the error in the measurement?
5%
1%
2%
Answer:
5%
Step-by-step explanation:
Assuming the measurement is rounded to the nearest pound, there is the potential for the reported value to differ by 1/2 pound from the measured value. The precision of the measurement is thus ...
(0.5 lb)/(10.0 lb) = 5/100 = 5%
__
Unless we know the cat's actual weight, we cannot determine the error in the measurement. If the cat actually weighs 10 pounds, the error is 0%.
-43 times the difference between a number and 74 is equal to the number plus - 64.
Answer: -43( n - 74) = n + (-64)
Step-by-step explanation:
The statement can be represented by the equation
-43( n - 74) = n + (-64) where n is the number
Answer:
[tex]\huge\boxed{-43(n-74)=n+(-64)}\\\boxed{n=\dfrac{1623}{22}=73\dfrac{17}{22}}[/tex]
Step-by-step explanation:
[tex]n-\text{a number}\\\\\text{the difference between a number and 74}:\ n-74\\\\\text{-43 times the difference between a number and 74}:\ -43(n-74)\\\\\text{the number plus - 64:}\ n+(-64)\\\\\text{The equation}:\\\\-43(n-74)=n+(-64)[/tex]
[tex]solution[/tex]
[tex]-43(n-74)=n+(-64)\qquad/\text{use the distributive property}\\\\(-43)(n)+(-43)(-74)=n-64\\\\-43n+3182=n-64\qquad/\text{subtract 3182 from both sides}\\\\-43n=n-3246\qquad/\text{subtract}\ n\ \text{from both sides}\\\\-44n=-3246\qquad/\text{divide both sides by (-44)}\\\\n=\dfrac{-3246}{-44}\\\\n=\dfrac{3246:2}{44:2}\\\\\boxed{n=\dfrac{1623}{22}=73\dfrac{17}{22}}[/tex]
the set of ordered pairs (-1,8),(0,3),and(2,-7) represent a function. what is the range of the function
Answer:
Range: 8, 3, -7
Step-by-step explanation:
The Range is the second coordinate which is y.
Hope This Helps :)
Linda drove 325 miles on a trip. At the end of the trip, the total mileage on the car's odometer read 4013. What was the mileage of the car at the beginning if Linda's trip?
Answer:
3688
Step-by-step explanation:
Step 1:
4013 - 325 = 3688
Answer:
3688
Hope This Helps :)
Find the 44th percentile, P44, from the following data! pls help
Answer:
[tex] P_{44} = 29.9 [/tex]
Step-by-step Explanation:
The 44th percentile, [tex] P_{44} [/tex], of the given data can be calculated using the kth formula for percentile given as:
[tex] i = \frac{k}{100}(n + 1) [/tex]
where,
i = the ranking or the position of the percentile = ?
k = the percentile = 44
n = total number of the given data values = 23
Plug in the values into the formula to find "i"
[tex] i = \frac{44}{100}(23 + 1) [/tex]
[tex] i = \frac{44}{100}(24) [/tex]
[tex] i = \frac{1,056}{100} [/tex]
[tex] i = 10.56 [/tex]
Since "I", 10.56, is not an integer, round the number down, and round it up to the nearest integer, then look for the position each occupy in the ordered data set, and find their average.
Thus,
[tex] i_{down} = 10.56 = 10 [/tex]
[tex] i_{up} = 10.56 = 11 [/tex]
The data occupying the 10th position on the data set = 28.7
11th = 31.1
[tex] P_{44} = \frac{28.7 + 31.1}{2} = \frac{59.8}{2} [/tex]
[tex] P_{44} = 29.9 [/tex]
The height of a helicopter above the ground is given by h=3.00t3, where h is in meters and t is in seconds. After 2.00 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?S
Answer:
7.96 s
Step-by-step explanation:
Given the following :
h = 3t³
After t seconds, that is, t = 2
h = 3(2)³ = 3 × 8 = 24 m
Rate of change, Velocity = dh/dt
dh/dt = 3*3t^(3 - 1) = 3*3t² = 9t²
At t = 2 s ; initial velocity = 9(2)² = 9 × 4 = 36 m/s
From the 3rd equation of motion:
v² = u² + 2gh
Where g = acceleration due to gravity 9.8m/s
upward motion, g = - ve
Displacement = - 24
v² = 36² + 2(-9.8)(-24)
v² = 1296 + 470.4
v² = 1766.4
v = sqrt(1766.4)
= 42.03 m/s
Since final velocity is in downward direction : take it as negative.
Recall, :
Velocity = Displacement / time
Displacement = Velocity × time
Average Velocity = (Initial + final velocity) / 2
Displacement = - 24 m
-24 = [(36 + (-42.03)) /2] × t
-48 = - 6.03t
t = 48 / 6.03
t = 7.96s
You have been assigned the job of doubling an investment by putting it in an account that earns 8% simple interest annually. About how many years will it take for this to happen?
Answer:
12.5
Step-by-step explanation:
100 ÷ 8 = 12.5, so it'll take 12.5 years to double
Answer:
12.5
Step-by-step explanation:
Nadia’s bookshelf contains 10 fiction books, two reference books, and five nonfiction books. What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?
Answer:
5/136
Probability is the chance of an event happening.
Probability = (Favorable outcome)/(total outcome)
P(r and n) = 2/17 × 5/16
=(2 × 5)/(17 × 16)
= 10/272
= 5/136
Answer:
5/136, or about 3.68%
Step-by-step explanation:
There are 17 total books on the bookshelf and only two of them are reference books, so the probability that you randomly grab a reference book is 2 out of 17, or 2/17.
Now that you took out a reference book (and did not put it back) there are 16 books on the bookshelf and you know five of them are nonfiction. That means the probability of getting a nonfiction book on your second grab is 5/16.
To find the probability that both of these events happen, you multiply the two fractions together.
2/17 x 5/16 = 10/272, which can reduce to 5/136, or about 3.68%
The coordinates of the point 3/10 of the way from A to B are _
Answer:
(-1, -4.8)
Step-by-step Explanation:
Let the point be P, which is 3/10 of the way from A to B. This means, it divides P into AP and PB in the ratio, 3:10 = AP/PB = 3/10.
Apply the formula for internal division to find the coordinates which is given as:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(-4, -8) = (x_1, y_1) [/tex]
[tex] B(9, 6) = (x_2, y_2) [/tex]
[tex] m = 3, n = 10 [/tex]
Plug in the necessary values to find x and y coordinates for point P
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{3(9) + 10(-4)}{3 + 10} [/tex]
[tex] x = \frac{27 - 40}{13} [/tex]
[tex] x = \frac{-13}{13} [/tex]
[tex] x = -1 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{3(6) + 10(-8)}{3 + 10} [/tex]
[tex] y = \frac{18 - 80}{13} [/tex]
[tex] y = \frac{-62}{13} [/tex]
[tex] y = \frac{-62}{13} [/tex]
[tex] y = -4.8 [/tex]
The coordinates of the point 3/10 of the way from A to B are (-1, -4.8)
Answer:
(0.2,-2.3)
Step-by-step explanation:
Natural resources that are used to make goods and services are considered _____. Equipment Money Land Labor
natural resources that are used to make goods and services are considered land
hope that helped :))
-61 times the difference between a number and 56 is equal to the number plus – 28.
Solve the equation for z. Express your answer as an integer, a reduced fraction, or a decimal number rounded to two places.
Answer:
1722/31 or 55.55
Step-by-step explanation:
We need to write an equation.
-61( z - 56 ) = z - 28
-61z + 3416 = z - 28
-61z + 61z + 3416 = z + 61z - 28
3416 = 62z - 28
3416 + 28 = 62z - 28 + 28
3444 = 62z
3444/62 = 62z/62
3444/62 = z
Since 3444/62 isn't a whole number let's reduce
3444/2 = 1722 62/2 = 31
1722/31 is our reduced fraction
Plug it into a calculator 55.5483 but rounded to two decimal places is 55.55
Solve the equation for x. 3x=(2x−2)(m+5)
Answer:
[tex]x=\frac{-2m-10}{-2m-7}[/tex]
Step-by-step explanation:
Step 1: Write out equation
3x = (2x - 2)(m + 5)
Step 2: FOIL
3x = 2xm + 10x - 2m - 10
Step 3: Subtract 2xm on both sides
3x - 2xm = 10x - 2m - 10
Step 4: Subtract 10x on both sides
3x - 2xm - 10x = -2m - 10
Step 5: Factor out x
x(3 - 2m - 10) = -2m - 10
Step 6: Combine like terms in parenthesis
x(-2m - 7) = -2m - 10
Step 7: Divide both sides by -2m - 7
[tex]x=\frac{-2m-10}{-2m-7}[/tex]
One endpoint of a line segment has the coordinates (-5, 12). If the midpoint of the segment is at (2,9), find the
coordinates of the missing endpoint.
Answer:
(9, 6)
Step-by-step explanation:
Midpoint formula is:
x = (x₁ + x₂)/2y = (y₁ + y₂)/2Having coordinates of one end- and midpoint (-5, 12) and (2, 9):
x₁ = -5, y₁ = 12x = 2, y = 9we get the coordinates of the missing endpoint with coordinates (x₂, y₂):
x₂ = 2x - x₁ = 2*2 - (-5) = 4 + 5 = 9y₂ = 2y - y₁ = 2*9 - 12 = 18 - 12 = 6So the missing point is: (9, 6)
Can you help me please
Answer:
what is your question ? and where are these points that you are talking about?
what is a conditional statement
Answer:
A conditional statement is false if hypothesis is true and the conclusion is false.
Step-by-step explanation:
Conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.
What is Mathematical Reasoning?Reasoning in maths is the process of applying logical and critical thinking to a mathematical problem in order to work out the correct strategy to use in reaching a solution
A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.
For this conditional statement, P is called the hypothesis and Q is called the conclusion.
“If P then Q” means that Q must be true whenever P is true.
We have a conditional statement If it is raining, we will not play.
Let, P: It is raining and Q: we will not play.
Then; If P is true, that is, it is raining and Q is false, that is, we played, then the statement P implies Q is false.
Hence, conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.
To learn more on Mathematical Reasoning click:
https://brainly.com/question/11679298
#SPJ2
Lisa had $4.26 in her purse. She bought some school supplies for $2.75. How much money does Lisa have left?
Answer:
$1.51
Step-by-step explanation:
take 4.26 and subtract 2.75.
Answer:
deretos
Step-by-step explanation:
Knowing your personal strengths and weaknesses will help to keep your goal a. Within your skills and abilities c. Both of these b. Within its timeline d. None of these
Answer: a.)Within your skills and abilities
Step-by-step explanation: i hope this helps :)
Knowing your personal strengths and weaknesses will help to keep your goal a. Within your skills and abilities.
What is the importance of knowing yourself?Understanding what makes you tick is part of knowing yourself. It entails figuring out your priorities, talents, and limitations, as well as your habits, inclinations, and ways of thinking. The following is a list of the advantages and significance of understanding oneself
Knowing your personal strengths and weaknesses will help you
can change your personality flaws and improve on your weaknesses.
You’ll have more emotional intelligence, which is key to knowing others.
So, Knowing your personal strengths and weaknesses will help to keep your goal Within your skills and abilities.
learn more about psychology here :
https://brainly.com/question/10980588
#SPJ2
1 + 4x + 6 - x = y What are m and b in the linear equation, using the common meanings of m and b?
Answer:
Step-by-step explanation:
it 28 by adding 6 +1 is 7 and times it by 4
7+3x=y I got this as the answer!
how do you find the area of a partial circle
Answer:
Divide!
Step-by-step explanation:
Find the area of the whole circle then divide it by whatterver percent of the circle you are looking at....
Determine the scale factor for a circle with radius 9 in. to a circle with diameter 24 in. Type your answer as a fraction.
Answer:
bhhhhhhhhhhhhhhhhbhbhb
Step-by-step explanation:
3/4 is the scale factor for a circle with radius 9 in to a circle with diameter 24 in.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The scale factor of a circle to another is the ratio of their radii
Radius of the first circle = 9 in
Diameter of the second circle = 24 in
Radius = Diameter / 2
Radius of the second circle = 24 / 2
Radius of the second circle = 12 in
Scale factor = (Radius of the first circle) / (Radius of the second circle)
Scale factor = 9/12
Scale factor = 3/4
Hence, 3/4 is the scale factor for a circle with radius 9 in to a circle with diameter 24 in.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2
What is the area of a triangle whose base is 16 m and whose height is 21 m?
74 m2
168 m2
268 m2
336 m2
Answer:
The answer is
168 m²Step-by-step explanation:
Area of a triangle is given by
[tex]A = \frac{1}{2} \times base \times height[/tex]
from the question
base = 16 m
height = 21 m
The area is...
[tex]A = \frac{1}{2} \times 16 \times 21 \\ = 8 \times 21 \: \: \: \: \: \: [/tex]
We have the final answer as
168 m²Hope this helps you
If P x 6=36 what is p
Answer:
p = 6
Step-by-step explanation:
Divide 6 by both sides to get p. 36/6 is equal to 6
Answer: p =6
Step-by-step explanation:
if p times 6 is 36 or 6p =36
Then to find p divide both sides by 6
6p = 36
p = 6
how many times greater is the value of the 3 in 4,367 than the value of the 3 in 39?
Answer: Roughly 111.97
Step-by-step explanation:
1. 39 divided by 3 is 13.
2. 4367 divided by 3 is not evenly distributed. Rounding, it would work out to be roughly 1455.66
3. 1455.66 divided by 13 is roughly 111.97 (Again, this does not distribute evenly)
4. To check your work, multiply 111.97 times 13 and you should get somewhere around 1455.66 which is (4367 divided by 3).
Hopefully this helps! Feel free to mark brainliest! :)
Which number has an 8 that is 1/10 the value of the 8 in 78?
Step-by-step explanation:
Step one:
Firstly we need to determine the place value of 8 in the term 78
in the term, we have 7 tens and 8 units
hence the place value of 8 in 78 is the units
Step two:
Now 1/10 of 8 is given as
0.1*8= 0.8
According to the problem statement, we are expected to find a number that has an 8 that is the same as 0.8.
Say 5.8, 6.8, 9.8
we cannot say exactly, but any number that has an 8 that is one decimal away is an equivalent