Answer:
5x-6 = 2x+9
3x = 15
x = 5
Then
MP=38
Hope it helps you!
What is the solution to the linear equation?
2/3x-1/2=1/3+5/6x
Answer:
x = -5
Step-by-step explanation:
2/3x - 1/2 = 1/3 + 5/6x
add 1/2 to each side of the equation:
2/3x = 5/6 + 5/6x
subtract 2/3x from both sides:
0 = 5/6 + 1/6x
subtract 5/6 from both sides:
1/6x = - 5/6
multiply both sides by 6:
x = -5
Please help immediately!!
Answer:
x=7° y=4°
Step-by-step explanation:
7x+131=180
7x=180-131=49
x=49/7=7°
11x+y+99=180
77+y+99=180
y=180-99-77
y=4°
for a triangle with the lengths of its sides of 5,13 and 14, determine if it is a right angle
Answer:
it is
Step-by-step explanation:
Please answer number 9 I’ll give brainliest thank you!
Answer:
C (95 people)
Step-by-step explanation:
380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)
Answer:
C.95
Step-by-step explanation:
25/100=0.25
380*0.25=95
Helpppppppp me pleases
Answer:
Try B
Step-by-step explanation:
A research scholar wants to know how many times per hour a certain strand of virus reproduces. The mean is found to be 4 reproductions and the population standard deviation is known to be 2.3. If a sample of 1083 was used for the study, construct the 99% confidence interval for the true mean number of reproductions per hour for the virus. Round your answers to one decimal place.
Answer:
The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{2.3}{\sqrt{1083}} = 0.18[/tex]
Rounding to one decimal place, 0.2.
The lower end of the interval is the sample mean subtracted by M. So it is 4 - 0.2 = 3.8 reproductions
The upper end of the interval is the sample mean added to M. So it is 4 + 0.2 = 4.2 reproductions.
The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.
Classify the expression: −2x
Answer:
linear expressions is the answer
When you buy something, it actually costs more than you may think at least in terms of how much money you must earn to buy it. For example, if you pay 29 % of your income in taxes, how much money would you have to earn to buy a used car for $?8,520
Answer:
the amount to be earned is $12,000
Step-by-step explanation:
The computation of the amount to be earned is shown below:
= The amount to purchase a used car ÷ (1 - paid percentage)
= $8,520 ÷ (1 - 0.29)
= $8,520 ÷ 0.71
= $12,000
hence, the amount to be earned is $12,000
We simply applied the above formula for determine the earned money
The same would be considered
CAN SOMEONE HELP ME, IT’S WORTH 40 POINTS AND DUE TOMORROW (April 18,2021)
Answer:
Step-by-step explanation:
1) the formula for the area of the square is: side^2
2) by solve the square root of the area
3) √81 ; √89
4) the side of the first square is a rational number, in fact Its value is 9, a number that can be expressed as a fraction (9/1).
the side of the second square is irrational, because √89 can‘t be expressed with a fraction, in fact it is a decimal number whose figures don’t repeat.
Use the table to write a linear function that relates y to x .
y=
Answer:
y= -1/4x
Step-by-step explanation:
help pleaseeeeeee :(
Answer:
Do 16 times pi.
Step-by-step explanation:
The closest answer is D.
Answer:
8 (option 1)
Step-by-step explanation:
Mark it as option 1 => 8 is the crt answer
2pi r = 16
r = 8
Help. Please and a few others are
Answer:
YES ITS MEDIAN!!!
Step-by-step explanation:
Answer:
yes you are correct it is the median.
Step-by-step explanation:
Cars A and B leave the same place and travel in the same direction along a straight road. Car A travels at 60 km/h and car B travels at 72 km/h. After how long will they be at 8km apart?
Answer:
Car A: 8 minutes
Car B: 6.67 minutes
Step-by-step explanation:
Car A: 60km evrery hour so,
1 km every minute, so he will be in 8km in 8 minutes.
Car B: 72km per hour so,
72/60 = 1.2 = 1.2 km per minute.
8/1.2 = 6.6666666666667 which is about 6.67 to the nearest hundredth.
Answer:
40 min
Step-by-step explanation:
Car A is traveling at 1 km/min (60/60)
Car B is traveling at 1.2 km/min (72/60)
Car B gains .2km on Car A for every minute they drive.
8km/.2 = 40
How do you know when to use the less than symbol and when to use the less than or equal to symbol when writing an inequality for a situation?
Answer:
This depends on the situation. For context, you use less than when your inequality CANNOT exceed more than.
You would use less than or equal to if your inequality can be equal to a number. Here's an example.
John needs to buy X oranges and Y apples. He can AT MOST buy 10 total fruits.
x + y (equal to or less than) 45
John needs to buy X oranges and Y apples. He CANNOT buy more than 10 total fruits.
x + y < 45
Can someone help me with this please
Find the value of f(4) for the function
Answer:
f(4) = 7
Step-by-step explanation:
The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.
In our case
f(a) = 2(a + 4) -9
could be rewritten as
y = 2(a + 4) - 9
the thing on the inside of the parentheses signifies what the equation is dependent on.
so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.
f(4) = 2((4) + 4) - 9
Now, just follow the order of operations
f(4) = 2(8) - 9
f(4) = 16 - 9
f(4) = 7
Urgent please please help It's due soon!
9514 1404 393
Answer:
money market: $1000stock: $238,500mutual fund: $228,500Step-by-step explanation:
We can let x and y represent the amounts invested in the stock and mutual fund, respectively. Then the amount invested in the money market account was (468000 -x -y). Two relations can be written.
x = y + 10000 . . . . . 10,000 more was invested in stock than in mutual funds
0.035(468000-x-y) +0.04(x) -0.03(y) = 2720 . . . . first-year return
Collecting terms in the second equation gives ...
0.005x -0.065y +16380 = 2720
-x + 13y = 2732000 . . . . . . subtract 16380, multiply by -200
12y -10000 = 2732000 . . . . substitute for x using the first equation
y = 2742000/12 = 228,500 . . . . solve for y
x = 228,500 +10,000 = 238,500 . . . . . find x from the first equation
468,000 -x -y = 468,000 -467,000 = 1,000 . . . . find the money market amount
__
Pierre invested $1000 in the money market account, $238,500 in the stock, and $228,500 in the mutual fund.
On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).
What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?
x + 2y = 4
x + 2y = 8
2x + y = 4
2x + y = 8
9514 1404 393
Answer:
(b) x +2y = 8
Step-by-step explanation:
The only offered line that includes the given point is ...
x +2y = 8
__
We can check the other choices:
x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)
2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice
_____
Getting there from scratch
The standard form equation for a line can be written from ...
(y2 -y1)x -(x2 -x1)y = constant
(-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)
-4x -8y = constant
For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.
x +2y = constant
The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...
x +2y = (2) +2(3) = constant = 8
The desired line has the equation ...
x +2y = 8
Answer:
B on edge
Step-by-step explanation:
NASA launches a test rocket with an initial velocity of 235 meters per second from an initial height of 15 meters above sea-level. Find a quadratic function that models the height of the rocket, in meters above sea-level, as a function of time t , in seconds after the launch. (HINT: 4.9 meters = 16 feet) Use your model to answer the following questions. Assuming that the rocket will splash down into the ocean, how many seconds after launch does splashdown occur? (round to the nearest tenth of one second) The rocket splashes down after seconds. What is the maximum height above sea-level attained by the rocket? (round to the nearest meter) The maximum height is meters above sea-level.
9514 1404 393
Answer:
48.0 seconds2833 metersStep-by-step explanation:
A graphing calculator shows the points of interest nicely.
The rocket splashes down after 48.0 seconds.
The maximum height is 2833 meters above sea level.
__
The equation for the motion is ...
h(t) = -4.9t^2 +235t +15 . . . . launch at 235 m/s from height of 15 m
The vertex (maximum height) is found at ...
t = -(235)/(2(-4.9)) = 235/9.8 ≈ 23.980 . . . seconds
Then the maximum height is ...
h(23.980) = (-4.9(23.980) +235)(23.980) +15 ≈ 2833 . . . meters
The value of t when h(t) = 0 can be found using the quadratic formula.
t = (-235 -√(235² -4(-4.9)(15)))/(2(-4.9)) = (-235 -√55519)/-9.8
t ≈ 48.023 ≈ 48.0 . . . seconds
Kela wants to visit a friend who lives 8 kilometres away. She'll ride the Subway as she can before walking the rest of the way. first, she needs to buy an access pass that costs $5.50 there is also a fee of $1.25 first stop Kela doesn't want to spend more than $15 on the trip so she wants to know the largest number of stops she can afford write an inequality to solve this problem.
Pls answer fast I'll mark brainliest
Answer:
Kela will be able to travel for 7 stops before her money runs out.
Step-by-step explanation:
Since Kela wants to visit a friend who lives 8 kilometers away, and she'll ride the subway as she can before walking the rest of the way, and she needs to buy an access pass that costs $ 5.50 and there is also a fee of $ 1.25 for each stop, if Kela doesn't want to spend more than $ 15 on the trip, to determine the largest number of stops she can afford, the following calculation must be performed:
(15 - 5.5) / 1.25 = X
9.5 / 1.25 = X
7.6 = X
Therefore, Kela will be able to travel for 7 stops before her money runs out.
2. The total weight of 4 tires is 800 pounds. What is the unit weight of 1
tire?
Answer:
The weight unit is 200 pounds per tire
Which of the following is true about the figure?
a. m MUC - m MUP = m PUC
b. m DUC + m VUA = m DUV
C. m MUC = m MUV = m VUA = m AUD
d. m CUA + m DUP = m PUM
Answer:
a. m<MUC - m<MUP = m<PUC
Step-by-step explanation:
From the options given, the only statement that is true of the figure shown is:
a. m<MUC - m<MUP = m<PUC
Rationale:
m<MUC = m<MUP + m<PUC (Angle Addition Postulate)
Subtract m<MUP from each side
m<MUC - m<MUP = m<PUC
Need help!! algebra!!!
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
The length of each side is (2a-5) units
Step-by-step explanation:
4a^2 - 20a +25
= (2a)^2 - 20a + (-5)^2
=(2a - 5)^2
(9a^2 - 16b^2)
= (3a)^2 - (4b)^2 this is the difference of two squares, the factors are therefore
= (3a + 4b) * (3a - 4b)
The dimensions of the rectangle are:
one pair of opposite sides are 3a + 4b
and the other pair of opposite side perpendicular to the first pair is 3a - 4b
Answer:
Step-by-step explanation:
Hello, please answer asap, need this done in an hour.
The distance between City A and City B is 500 miles. A length of 1.2 feet represents this distance on a certain wall map. City C and City D are 1.92 feet apart on this map. What is the actual distance between City C and City D?
Answer:
800
Step-by-step explanation:
First what you need to do is find the scale of magnification, which you can do with 500/1.2. You will get 416.6667 as the scale. You then need to multiply the scale by 1.92, which nets you the actual distance of 800 miles.
Hope this helps!
Evaluate the radical expression. Express your answer in simplified form. If the expression does not represent a real number, indicate, not a real number.
Answer:
-10
Step-by-step explanation:
Answer:
- 10
Step-by-step explanation:
- √100
= - 10
( - 10 is a real number )
To compare the driving distances for the two models, you arranged an experiment in conjunction with the Par research team. Forty golf balls of each type were subjected to driving-distance tests. You offered the idea of testing the driving distance with a mechanical hitting machine to isolate any mean differences in the distances to the two model golf balls themselves. The results of the tests, with distances measured to the nearest yard, follow.
Let
μ1=population mean driving distance for the current golf ball
μ2=population mean driving distance for the new golf ball
You begin your report to the Par, Inc. management team by offering the following hypothesis pair as a way of representing the problem.
H0 : μ1 - μ2 ≤ 0
H1 : μ1 - μ2 > 0
How would you explain these hypotheses to the management team?
a. We assume that the current model ball has an average driving distance that is greater than the new cut-resistant ball. However, if the new model has a mean driving distance that is greater than or equal to the current model, then we should reject our assumption.
b. We assume that the driving distances for the current model and the new model are equal. If the driving distances between the current and new models are very far apart, then we should reject our assumption.
c. We assume that the current golf ball has an average driving distance that is greater than or equal to that of the new model ball. However, if the new model has a mean driving distance that is significantly longer, then we should reject our assumption.
d. We assume that the new golf ball has an average driving distance that is greater than or equal to that of the current ball. However, if the current model has a mean driving distance that is significantly longer, then we should reject our assumption.
Answer:
d. We assume that the new golf ball has an average driving distance that is greater than or equal to that of the current ball. However, if the current model has a mean driving distance that is significantly longer, then we should reject our assumption.
Step-by-step explanation:
Given that :
μ1=population mean driving distance for the current golf ball
μ2=population mean driving distance for the new golf ball
H0 : μ1 - μ2 ≤ 0
H1 : μ1 - μ2 > 0
The Null hypothesis assumes that the average driving distance of the current golf ball is less than or equal to the average driving distance of the current golf ball
For the Alternative ; If there is significant evidence that the average driving distance of the current golf ball is greater or longer than the average driving distance of the new golf ball ;then we reject our initial claim (the Null hypothesis).
a family wants to have two children determine the probability of a family having two girls
This question below.
Someone answer this Please
Answer:
15 miles
Step-by-step explanation:
The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.
Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.
[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]
Take the square root of both sides
[tex]15=c[/tex]
Therefore, the length of the hypotenuse is 15 miles.
I hope this helps!
Help ASAP please (no links otherwise I will report)