Answer: [tex]y=-\frac{1}{2}x+6[/tex]
Step-by-step explanation:
The equation of the line is slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b thte y-intercept.
The lines are parallel, then they have the same slope.
Solve for "y" from [tex]2x+4y=10[/tex] to find the slopes of the lines :
[tex]2x+4y=10\\4y=-2x+10\\y=-\frac{1}{2}x+\frac{5}{2}[/tex]
The value of the slopes of the lines is:
[tex]m=-\frac{1}{2}[/tex]
Substitute the slope and the point into the equation of the line and solve for "b":
[tex]2=-\frac{1}{2}(8)+b\\2=-4+b\\b=6[/tex]
Then the equation of this line is:
[tex]y=-\frac{1}{2}x+6[/tex]
The answer is:
The equation of the new line will be:
[tex]y=-0.5x+6[/tex]
or
[tex]y=-\frac{1}{2}x+6[/tex]
Why?To solve the problem, we need to remember the slope intercept form of a line.
The slope intercept form of a line is given by the following equation:
[tex]y=mx+b[/tex]
Where,
y, is the function.
x, is the variable of the function.
m, is the pendant of the line.
b, is the y-axis intercept of the line.
So, we are given the line that will be parallel to the line that we are looking for:
[tex]2x+4y=10\\4y=-2x+10\\4y=-2(x-5)\\y=\frac{-2}{4}*(x-5)\\\\y=-\frac{1}{2}*(x-5)\\\\y=-\frac{1}{2}x+\frac{5}{2}[/tex]
Where,
[tex]m=-\frac{1}{2}[/tex]
Then,
We need to use the same slope to guarantee that the new line will be parallalel to the given line-
So, our new line will have the following form:
[tex]y=-\frac{1}{2}x+b[/tex]
We need to substitute the given point to isolate "b" in order to guarantee that the line will pass through.
Now, substituting the given point, to calculate"b", we have:
Calculating b, we have:
[tex]2=-\frac{1}{2}8+b[/tex]
[tex]2=-4+b[/tex]
[tex]2+4=b[/tex]
[tex]6=b[/tex]
Hence, we have that the equation of the new line will be:
[tex]y=-0.5x+6[/tex]
or
[tex]y=-\frac{1}{2}x+6[/tex]
Proving that the line will pass through the given point, by substituting it into its equation, we have:
[tex]2=-0.5(8)+6[/tex]
[tex]2=-4+6[/tex]
[tex]2=2[/tex]
So, since the equality is satisfied, we know that the line pass through the new line.
Have a nice day!
The manager of a company that sells movie tickets online releases a report. The report states that the company's customers do not want the option of reserving a seat when they buy tickets. The report was based on a survey of 200 customers chosen at random from the company's database. Participants were asked the question, "Are you willing to spend the extra time and effort to reserve a seat when you buy tickets?" Select all statements that correctly evaluate the report. The question is biased toward a Yes response.
A) The sample is biased because it does not represent the population.
B) The question is biased toward a No response.
C)The question is not biased.
D) The sample is not biased.
Answer:
the question is biased towards a no response, because they're asking participants "are you willing to spend the extra time to blah blah" obviously they're going to say no, and the second answer is the sample is not biased because they're not giving the consumers any reason to want the product they're selling.
Step-by-step explanation:
Answer:
The sample is not biased.
The question is biased toward a No response
Step-by-step explanation:
I took the test!
Which of the following statements is false regarding randomization
Answer:
Randomization can be replaced by accurately matching the sample to the population
You should never replace Randomization, its important. Thats why this is false (I just took this quiz)
Brainliest + Points Please help!!!
A force of 100 newtons will stretch a spring 0.25 meters. How far will a force of 80 newtons stretch it?
Use Hooke's law F = kx.
A.
0.04 meters
B.
0.2 meters
C.
0.4 meters
D.
2 meters
Answer:Your Answer would be B 0.2 meters
Step-by-step explanation:
Use the distributive property to complete the following statement 4(x-1)=4x-___
A. 4
B. –4
C. –1
D. 1
Answer:
A. 4
Step-by-step explanation:
4*x-4*1=4x-4
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. -9, -18, -27, -36, ...
Answer:
The expression of this sequence is -9n
Step-by-step explanation:
* Lets revise the type of the sequence
- Arithmetic sequence:
- There is a constant difference between each two consecutive
numbers
* Ex:
# 2 , 5 , 8 , 11 , ……………………….
# 5 , 10 , 15 , 20 , …………………………
# 12 , 10 , 8 , 6 , ……………………………
* General term (nth term) of an Arithmetic Progression:
- U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d
- Un = a + (n – 1)d, where a is the first term , d is the difference
between each two consecutive terms
* Now lets look to the problem
- The sequence is : -9 , -18 , -27 , -36
∵ -18 - (-9) = -18 + 9 = -9
∵ -27 - (-18) = -27 + 18 = -9
∵ -36 - (-27) = -36 + 27 = -9
∴ The sequence is arithmetic with common difference -9
∵ a = -9 , d = -9 and n is the position of the term in the sequence
∴ The rule of the sequence is Un = -9 + (n -1)(-9)
* We can simplify it
∴ Un = -9 + n(-9) - (1)(-9) = -9 + (-9n) - (-9) = -9 - 9n + 9 = -9n
* The expression of this sequence is -9n
The expression describing the sequence -9, -18, -27, -36, ... is –n, where n represents the position of the term in the sequence.
Explanation:The sequence given is -9, -18, -27, -36, ..., and we need to write an expression using n to represent the position of a term in the sequence. This is clearly an arithmetic sequence because each term is obtained by adding a constant value to the previous term. The common difference here is -9 (since -18 - (-9) = -9).
For an arithmetic sequence, the n-th term is given by the formula an = a1 + (n - 1) × d, where a1 is the first term, and d is the common difference. In this case, a1 = -9 and d = -9. Therefore, we can substitute these values into the formula to get:
an = -9 + (n - 1) × (-9)
which simplifies to:
an = -9n
Which of the following is the solution to the inequality below?
Answer:
C.
Step-by-step explanation:
distribute.
-3x+9 > 5-5x
put the x's to one side.
2x+9 > 5
put the number to the other side.
2x > -4
x > -2
john is asked to roll a fair numver cube, numbered 1 to 6, and tossed a balanced quarter simultaneously. What is the probability that he will roll a 2 and the quarter will come up tails? A.) 1/2 B.) 2/3 C.) 1/6 D) 1/12
Answer: B 2/3
Step-by-step explanation:
1/6 + 1/2
write the equation for an exponential function, in the form axb^x, whose graph passes through the coordinates points (1, 7.5) ( 3, 16.875)
Answer:
see explanation
Step-by-step explanation:
The equation of the exponential function in the form
y = a[tex]b^{x}[/tex]
Substitute the given points into the equation and solve for a and b
Using (1, 7.5), then
7.5 = ab → (1)
Using (3, 16.875), then
16.875 = ab³ → (2)
Divide (2) by (1)
[tex]\frac{ab^3}{ab}[/tex] = [tex]\frac{16.875}{7.5}[/tex], hence
b² = 2.25 ( take the square root of both sides )
b = 1.5
Substitute b = 1.5 into (1)
1.5a = 7.5 ⇒ a = 5
The exponential function is y = 5[tex](1.5)^{x}[/tex]
How do I find the value of x?
If we know that the angle on the left is 80° we know that the angle on the right is also 80°
We can subtract these from 360° and we are left with 200°
Since all four of the remaining angles are congruent we can divide our remaining 200° by 4
When you do that you get 50, meaning each remaining angle is 50°
Making x=50°
Hope this helped!
Answer:
x = 50
Step-by-step explanation:
There are no guarantees that the question can be answered unless the lines meeting at the intersection point are staight lines. You have to assume that to be true.
The angles making up the line starting at the lower right and going up to the upper left are
80 +x + x = 180 80 and one of the two xs are vertically opposite.
80 + 2x = 180 Subtract 80 from both sides.
80-80+2x=180-80 Subtract
2x = 100 Divide by 2
2x/2 =100/2
x = 50
Find the surface area of a square pyramid where the length of a side of the base is 10cm and the slant height of the pyramind is 16cm
Answer:
435.26
Step-by-step explanation:
I hope this is right I looked it up on Google. You search up area of a square pyramid and put your info in.
i am an odd number with 3 digits. The sum of my digits is 5. my first and last digits are the same. what am i?
Step-by-step explanation:
Because our number is odd and the first digit is the same as the last one. Then let call it be aba.
a will contain {1,3,5,7,9} but we have
[tex]2a + b = 5 \\ [/tex]
then
[tex]2a < 5[/tex]
so a will be 1 and b will be 3.
Thus, I am 131.
Answer:
131
Step-by-step explanation:
The sum of 3 digits = 5 with first and last the same and is odd, then
3 digit number is 131
Tell whether each equation represents a direct proportion. If so, identify the
constant of proportionality.
1. 0.4y = x
2. x = 1 - 2y
Answer:
Step-by-step explanation:
1. 0.4y = x is a direct proportion. It'd be more appropriate to write this as
y = x / 0.4, or y = 2.5x, in which case 2.5 is the constant of proportionality.
2. x = 1 - 2y is not a direct proportion because of the offset (1). A line representing a direct proportion must go through the origin (0, 0); this particular line does not do that.
The first equation, 0.4y = x, represents a direct proportion with the constant of proportionality being 2.5. The second equation, x = 1 - 2y, does not represent a direct proportion since it does not have the form y = kx.
When we talk about two quantities being directly proportional, we mean that as one quantity increases, the other increases by a constant rate, and vice versa. This relationship can be represented by the equation y = kx, where k is the constant of proportionality.
For the first equation, 0.4y = x, this is rearranged as y = (1/0.4)x or y = 2.5x. This is indeed a directly proportional relationship, with the constant of proportionality being 2.5.
The second equation x = 1 - 2y does not describe a directly proportional relationship because it is not of the form y = kx. Instead, it shows that x decreases as y increases, which is suggestive of an inverse relationship, rather than a direct one.
15. Cody and his wife are purchasing a home. The cost
of the home is $145,900. They will be required to
pay a down payment of 5% of the purchase price
and to pay closing costs of 6% of the purchase
price. How much cash will they need for the down
payment and closing costs?
$16,049
$8,754
$7,295
$145,900
$161,949
They would need $16,049!
Price of the home is $145,900.
Percentage of the down payment is 5%
Subtract 5% from $145,900 = $138,605
That mean 5% of $145,900 is $7,295
Percentage of the closing cost is 6%.
Subtract 6% from $145,900 = 137,146
That mean 6% of 145,900 is $8,754
Add the down payment ($7,925) and closing cost ($8,745)
$16,049!
Mark me Brainliest!! Please!
they will need to pay $16,049
multiply $145,900 by 5%
multiply $145,900 by 6%
now add the totals to get $16,049
y = 3x-5
6x + 3y= 15
y = 3x - 5
So substitute 3x-5 for y:
6x + 3(3x-5) = 15
Simplify:
6x + 9x - 15 = 15
15x - 15 = 15
x - 15 = 1
x = 16
THEN find y by plugging the value of x back into the first equation:
y = 3(16) - 5
y = 48 - 5
y = 43
Find the perimeter of the polygon ??
Answer:
35.5 m
Step-by-step explanation:
The perimeter of the polygon is the sum of all the sides of the polygon. The sides are given as
11 m , 5 m ,7.5 m , 5m and 7m
Hence the perimeter would be,
11+5+7.5+5+7
= 35.50 m
The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1. The events are not independent because the .
Answer:
The events are not independent because the product of their marginal probabilities is not equal to their joint probability
Step-by-step explanation:
Two events A and B are said to be independent with respect to probability if the product of their marginal probabilities is equal to their joint probability. In the question presented we have;
Pr(A) = 0.4
Pr(B) = 0.2
Pr(A n B) = 0.1
The product of their marginal probabilities is;
Pr(A) * Pr(B) = 0.4 * 0.2 = 0.08
Their joint probability is given as;
Pr(A n B) = 0.1
Clearly, Pr(A) * Pr(B) ≠ Pr(A n B) and thus the events are not independent.
Answer:
Product of P(A) and P(B) is not equal to P(A and B)
Step-by-step explanation:
it would be option C on E2020
Can someone help me on 8,12 please
Step-by-step explanation:
8.
[tex]\triangle CHF\sim\triangle YWS\\\\\angle C\cong\angle Y\\\angle H\cong\angle W\\\angle F\cong\angle S\\\\\dfrac{CH}{YW}=\dfrac{HF}{WS}=\dfrac{CF}{YS}[/tex]
Although it does not look like the picture.
From the picture ∠F ≅ ∠Y...
We must stick to the correct writing:
Δ → Δ
C → Y
H → W
F → S
12.
ΔMLK and ΔYWZ are not similar because they have different angles (different shape).
caleb made 6 quarts of trail mix for his camping trip. Each week he consumed 4 pints of the trail mix. How many weeks did Caleb have trail mix?
Answer:
3 weeks
Step-by-step explanation:
1 quart = 2 pints
6 quarts = 12 pints,
so 4 pints each week would take 3 weeks (4pints x 3weeks =12pints)
Find the value of X in the circle
Answer:
x=7 units
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
The triangles AMN and APQ are congruent by SAS similarity postulate
The include angle
∠MAN=∠PAQ
Because
Arc MN=Arc PQ
therefore
MN=PQ
substitute the values
38=4x+10
solve for x
4x=38-10
4x=28
x=7 units
x would be 7 units because 4 × 7 = 28 And 28 + 10 = 38
given f(x)=x+2 and h(x)=1/x-1 evaluate the following function at x=2
[h(x)]^2/f(x)
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Substitute x = 2 into both h(x) and f(x)
h(2) = [tex]\frac{1}{2-1}[/tex] = 1 ⇒ (h(2))² = 1
f(2) = 2 + 2 = 4
Hence
[tex]\frac{h(x)^2}{f(x)}[/tex] when x = 2
= [tex]\frac{1}{4}[/tex]
1/4 is the following function at x=2
What are functions?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and co domain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Given
Substituting x = 2 into both h(x) and f(x)
h(2) = 1(2-1) = 1 ⇒ (h(2))² = 1
f(2) = 2 + 2 = 4
Hence
h(x)²/f(x) when x = 2
=1/4
To know more about domain refer to :
https://brainly.com/question/11787743
#SPJ2
A ________ is a transformation of a figure by turning it around a given point.
A. dilation
B. reflection
C. rotation
D. translation
Answer:
Translation
Step-by-step explanation:
What is the value of x?
x = 16.
Hope this helps!
Answer:
x = 16
Step-by-step explanation:
Since the triangles are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{x}{4}[/tex] = [tex]\frac{20}{5}[/tex] ( cross- multiply )
5x = 80 ( divide both sides by 5 )
x = 16
What is the answer to this?
Answer:
90°
Step-by-step explanation:
The angles at the intersection of a kite will always be 90°
Carly wins 1282 tickets at a arcade. For each group of 65 tickets she will receive a prize. Carl solve the problem 1282÷65 and determines that she has enough tickets right now for 19 prices. What is the least number of additional tickets that current needs to win to have enough tickets for a 20th prize?
18 is correct because 1300/65=20 1300-1282=18.
How many terms are in the arithmetic sequence 7, 1, −5, …, −161?
Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference
27
28
29
30
Answer:
29
Step-by-step explanation:
The n th term of an arithmetic sequence is
• [tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
d = 1 - 7 = - 5 - 1 = - 6 and a₁ = 7, [tex]a_{n}[/tex] = - 161, hence
7 - 6(n - 1) = - 161 ← solve for n
7 - 6n + 6 = - 161
13 - 6n = - 161 ( subtract 13 from both sides )
- 6n = - 174 ( divide both sides by - 6 )
n = 29
There are 29 terms in the sequence
Convert 7pi/5 to degrees.
Answer: 252 degrees!
7pi/5 is 252degrees.
What is radians?The standard unit of angular measure used in many branches of mathematics is the radian, indicated by the symbol rad. The radian is the SI unit for measuring angles. The radian has replaced the unit as a SI derived unit, which was previously a SI supplementary unit.
Given
To convert radians to degrees, multiply by 180/π, since a full circle is
360° or 2π radians.
(7π/5)⋅180°/π
Cancel the common factor of π.
Rewrite the expression.7/5⋅180
7⋅36
Multiply 7 by 36.
252
To know more about radians refer to :
https://brainly.com/question/10443805
#SPJ2
The ratio of red cars to blue cars in a parking lot was 5:3.if there were 40 red cars, how many blue cars were there??
Every 5 red cars there are 3 Blue cars,
So if there are 40 red cars,
there are going to be 24 Blue cars
40 divided by 5 which is 8
Multiply 3 × 8 which is ( 24 blue cars )
Answer:
24
Step-by-step explanation:
The 5 part of the ratio represents 40 cars, thus
40 ÷ 5 = 8 cars ← value of 1 part of the ratio
3 parts = 3 × 8 = 24 ← number of blue cars
what table represents the exponential function y=5×2^x
Answer:I would say it's graph 4 if the equation you put is y=5(2)^x
Step-by-step explanation:
A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the longer piece of rope?
22 feet
26 feet
33 feet
44 feet
22 feet is the answer I hope this helps
Answer:
Longest rope is 44 feet. 1 piece is 1/2(44)=22. 22+44=66
Step-by-step explanation:
Find the value of h in the parallelogram. Round your answer to the nearest tenth
Answer:
h=7.5 in
Step-by-step explanation:
see the attached figure with letters to better understand the problem
In the right triangle ABC
sin(CAB)=15/18 ----> opposite side divided by the hypotenuse
In the right triangle CDE
sin(DCE)=h/9 ----> opposite side divided by the hypotenuse
In this problem
∠CAB=∠DCE ------> by corresponding angles
therefore
sin(CAB)=sin(DCE)
15/18=h/9
solve for h
h=15*9/18
h=7.5 in
Answer:
Step-by-step explanation:
7.5 inches is correct