Applying the definition of the midpoint of a segment, we have:
x = 6
PR = 36 units
What is the Midpoint of a Line Segment?If point Q is the midpoint of segment PR, it therefore means that point Q bisects (divides) line segment PR into two equal parts, namely: PQ = QR.
Also, PQ + QR = PR
Given the following:
QR = 18
PR = 5x + 6
Thus, we can create the following equation:
2(QR) = PR
Substitute
2(18) = 5x + 6
36 = 5x + 6
36 - 6= 5x + 6 - 6
30 = 5x
30/5 = 5x/5
6 = x
x = 6
PR = 5x + 6
Plug in the value of x
PR = 5(6) + 6
PR = 36 units
Learn more about the midpoint of a segment on:
https://brainly.com/question/19149725
#SPJ1
\(2x^{2} +12x=66\)
Answer:
x=−3±42=−3±42√
Step-by-step explanation:
I got u bro
Pls help!!!
Question in the picture
Answer:
-7, -\(\pi\) -\(\sqrt{3}\) , 9
Step-by-step explanation:
Answer:
The answer will be... -7, -\(\pi\), -\(\sqrt{3}\), 9Step-by-step explanation:
Hope this helped you.Help pls
Stuck on this question
Answer:
x = 35
Step-by-step explanation:
since the figures are similar then the ratios of corresponding parts are in proportion, that is
\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )
2x = 7 × 10 = 70 ( divide both sides by 2 )
x = 35
Complete the table of values for y.
1. y=-2x
Answer:
when y=0,X=0,,
y=1,X=-2
y=2,X=-4
Answer:
5: -4
4: -2
3: 0
2: 2
1: 4
0: 6
The height of a triangle is 2 more than
four times its base. If the area of the
triangle is 21 square units, find the
length of the base of the triangle
Answer:
the length of base triangle is 42cm
Find the area of this triangle
Answer:
50.32
Step-by-step explanation:
please I need to answer three brainliest questions
what question? where is the question???????????????????????????????????????????????????
An online camping supplies outlet charges $14 for a canteen,
and shipping is $2 per order.
Part A
Write an expression that CJ can use to find the total cost in
dollars for ordering n canteens.
Part B
CJ orders 2 canteens and his friend Cameron orders 4 canteens.
What is the total cost, including shipping, for both orders?
Show your work.
Answer:
Part A: 14x + 2
Part B: CJ's order is $30, and Cameron's order is $58.
Step-by-step explanation:
Part A: The total cost of the order would be $14 multiplied by the amount of canteens, plus the shipping price of $2. This is what my expression represents.
Part B:
CJ's Order:
14(2) + 2 =
28 + 2
$30
Cameron's Order:
14(4) + 2 =
56 + 2 =
$58
Hope this helps! :D
Calculus please help
f(x) is discontinuous.
Since LHS ≠ RHS ≠ f(x).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
here, we have,
We have,
f(x) = x + 1, for x ≤ 2
f(x) = 2x - 1, for 1 < x < 2
f(x) = x - 1, for x < 1
Now,
A x = 1
LHS of f(x) = lim f((h - 1)) = (h - 1 - 1) = 0 -2 = -2
RHS of f(x) = lim f(h + 1) = (2(h + 1) - 1) = 2h + 2 - 1 = 0 + 1
f(1) = x + 1 = 1 + 1 = 2
We see that,
LHS ≠ RHS ≠ f(x)
So,
f(x) is not continuous, it is discontinuous.
Thus,
f(x) is discontinuous.
Learn more about functions here:
brainly.com/question/28533782
#SPJ1
The complete question.
Show that the following functions are continuous or discontinuous at x = 1.
f(x) = x + 1, for x ≤ 2
f(x) = 2x - 1, for 1 < x < 2
f(x) = x - 1, for x < 1
A car travels 350 miles on 20 gallons of gasoline. How many gallons will be used to travel 875 miles under the same conditions?
Answer:
43.75 gallons will be used
Step-by-step explanation:
I need help asap please
Answer:it won't let me see the pic so type it out plz am very good at math am number 1 in my math class
Step-by-step explanation:
What is the meaning of conditionally promoted in school
find the expected value of the winnings from a game that has the following payout I cannot proceed without your help :)
The expected value of the winnings from the game is $3.24.
To find the expected value of the winnings, we multiply each possible payout by its corresponding probability and sum them up.
Expected Value = (2 x 0.64) + (4 x 0.18) + (6 x 0.12) + (8 x 0.04) + (10 x 0.02)
Expected Value = 1.28 + 0.72 + 0.72 + 0.32 + 0.20
Expected Value = 3.24
Therefore, the expected value of the winnings from the game is $3.24.
Learn more about expected value here:
https://brainly.com/question/31753821
#SPJ1
alice sold 3 more than 2 times the number of magazines Josh sold. Alice sold a total of 27 magazines. How many magazines does Josh sell?
Answer: 12
Step-by-step explanation:
you can check this by doing this 12 x 2 = 24 + 3 = 27
What is the y-intercept of the line y = -x-5?
OA. -5
OB. 5
OC.
1/2
O D.-1/2
Answer:
A. -5
Step-by-step explanation:
In a slope-intercept equation, the form goes this way:
y = mx + b ---> y intercept
|
|
> slope / gradient / constant of variation / rate of change
So in the line y = -x - 5 the -5 keeps its symbol and is the y-intercept.
Therefore, the y-intercept of the line is -5.
Answer:
-5
Step-by-step explanation:
● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies? Show your work.
The fraction of the area of the tray occupied by the blondies is 1/9.
To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.
Let's calculate the area of each individual blondie:
The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.
Now, let's calculate the area occupied by the blondies in each row:
Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.
So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.
Next, let's determine the area occupied by the brownies:
The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.
Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.
Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.
Now, let's calculate the total area of the tray:
Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:
Total area of the tray - Area occupied by the brownies = Area occupied by the blondies
648 square inches - 576 square inches = 72 square inches.
So, the fraction of the area of the tray occupied by the blondies is:
Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:
72 square inches / 648 square inches = 1/9.
Therefore, the blondies' percentage of the tray's surface area is 1/9.
for such more question on fraction
https://brainly.com/question/1622425
#SPJ8
Identify the method that will be used in solving for X
5+x=3/4
A• distributive property
B• multiplication property of equality
C• division property of equality
D• subtraction property of equality
Answer:D• subtraction property of equality
Step-by-step explanation:subtract 3/4 on both sides?????
what is 1 ??........?
Answer:
b
Step-by-step explanation:
Answer:
1 is 1
Step-by-step explanation:
Identify the slope and y-intercept of the function y=-5x+4.O A. The slope is -5.The y-intercept is (0,4).O B. The slope is 5.The yintercept is (0,4).O C. The slope is 4.The y-intercept is (0,5).O D. The slope is 4.The y-intercept is (0,-5).
In the equation
The slope is m = -5x
Y-intercep is b = (0,4)
The answer would be A
The slope is -5.
The y-intercept is (0,4).
PLEASE HELP I WILL GIVE BRAINLIST PLEASE
Answer: D: 4.5
Step-by-step explanation:
So the Equation I used for this would be
6(2x+3) = 3(6x-3)
In Which the left is the Hexagon (The 6 is for the 6 Sides) and the right of the equation is the triangle (given the 3 for the 3 sides. In order to solve, we need to solve for x. Distribute the equation and your left with
12x+18=18x-9
-12x +9
27=6x
Divide to get X by itself
and your left with
4.5 = x
Hope it helped.
Help I need help this is hard
Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?
Answer:
Ximena can use 1 gigabytes of data
Step-by-step explanation:
The first thing you want to do is subtract
51.10 - 44.50 = 5.6
5.6 is the amount of money she will have to spend on data
With each gigabyte costing 4 dollars and only 5 dollars to spend
she can only use one gigabyte
In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 32 of the 44 online courses at this particular community college were taught by full-time faculty.
Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question.
Answer:
The p-value of the test is 0.5028>0.05, which means that there is sufficient evidence to determine that 68% represents the state in question.
Step-by-step explanation:
Test if 68% represents the state in question.
This means that at the null hypothesis, we test if the proportion is 68%, that is:
\(H_0: p = 0.68\)
At the alternate hypothesis, we test if the proportion is different of 68%, that is:
\(H_a: p \neq 0.68\)
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
0.68 is tested at the null hypothesis:
This means that \(\mu = 0.68, \sigma = \sqrt{0.68*0.32}\)
32 of the 44 online courses at this particular community college were taught by full-time faculty.
This means that \(n = 44, X = \frac{32}{44} = 0.7273\)
Test statistic:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{0.7273 - 0.68}{\frac{\sqrt{0.68*0.32}}{\sqrt{44}}}\)
\(z = 0.67\)
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion differing by the population proportion by at least 0.7273 - 0.68 = 0.0473, which is P(|z| > 0.67), which is 2 multiplied by the p-value of z = -0.67.
Looking at the z-table, z = -0.67 has a p-value of 0.2514
2*0.2514 = 0.5028
The p-value of the test is 0.5028>0.05, which means that there is sufficient evidence to determine that 68% represents the state in question.
help me for 50 points
Answer:
I hope it helped U
stay safe stay happy
Answer:
Step-by-step explanation:
There are 8 triangles and 12 circles. What is the simplest ratio of triangles to circles?
Answer:
8:12
Step-by-step explanation:
Answer:
8/12=2/3
Step-by-step explanation:
simplest ratio of triangles to circles=8/12
=2/3
Factor.
3x² +7x
I don’t know what to do
Answer:
Most you can do is factor out the x and turn it into x (3x + 7)
roots would be x = 0 and x = -7/3
Answer: x(3x+7)
Step-by-step explanation:
You would factor the x out of both of your values and put on the outside of the parenthesis. And you put the two numbers that you have left inside of the parenthesis. And that is as far down as this function can be factored.
Find the value of x in the equation
X+2.37=5.94
Answer:
x = 3.57
Step-by-step explanation:
5.94 - 2.37 = 3.57
Hope this helped
Answer:
3.57
Step-by-step explanation:
Subtract 2.37 from both sides.
5.94 - 2.37 = 3.57
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
for such more question on radioactive isotope
https://brainly.com/question/20596678
#SPJ8
Aiden is trying to pick up some lawn mowing jobs over the weekend to make extra money for a school trip. Each lawn in his neighborhood takes an average of 40 minutes to mow, and Aiden has no more than 11 hours, or 660 minutes, of available time to mow lawns. If Aiden mows his grandparents' farm which takes him 110 minutes, and x represents the number of lawns he mows in his neighborhood, which inequality represents this situation?
A.
40x + 110 ≤ 660
B.
110x + 40 ≤ 660
C.
110x + 40 ≥ 660
D.
40x + 110 ≥ 660
Answer:
A.
Step-by-step explanation:
40x is the number of lawns he can do, less the time to do his grandparents time (added to other law time) and he has 660 mins of less to complete them.
Answer:
a. 40x + 110 ≤ 660
Step-by-step explanation: