Does anyone know this?
The value of x is 7
What is Midsegment Theorem?A triangle's midsegment is the section that links the midpoints of its two sides.
The section connecting a triangle's two sides at their midpoints is parallel to and only half as long as the third side.
Given:
According to Midsegment theorem
The line joining the midpoint is equal to half the length of the third side.
Thus, 29 = 1/2 (6x+ 4)
29 = 3x + 2
3x = 39-2
3x= 27
x= 27/3
x= 9
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Which sequence of transformations carries ABCD onto HGFE?
Sequence of transformations carries ABCD onto HGFE are translation and reflection.
Define reflection.In mathematics, reflection refers to a transformation of a geometric figure in which the figure is flipped across a line or a plane. The line or plane across which the figure is flipped is called the line or plane of reflection, and it acts as the mirror for the reflection.
ABCD is a rectangle in 4th quadrant
Step1: Translate it by2 units in vertical direction
rectangle will shift to 1st quadrant with new coordinates.
Step2: Reflect the rectangle w.r.t y axis
The final rectangle will be in 3rd quadrant
Hence, sequence of transformations carries ABCD onto HGFE are translation and reflection.
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whats the answer to number 5 please and thank you? please write down the steps
please help
Answer:
67
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
x + 55 = 90 (Right angle triangle)
x = 90 - 55
x = 35
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Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer. A used Car salesperson can be paid using two methods of commission. METHOD X uses straight commission 3.5% of the selling price of all vehicles sold. METHOD Y uses a fixed amount of £250 per week plus commission of 1.5% of the selling price of all vehicles sold. If the total selling price of the Cars sold in each week is on average £20,000, calculate which of the two methods of commission the salesperson would prefer.
The cost of one computer is £600 and the cost of one printer is £800.
Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.
Let the cost of a computer be x and the cost of a printer be y.
Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)
4x + 5y = 6000 ---------------------- (2)
Solving equations (1) and (2) simultaneously:x = 600y = 800
Therefore, the cost of a computer is £600 and the cost of a printer is £800..
:Therefore, the cost of one computer is £600 and the cost of one printer is £800.
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Fifteen percent of a bag of chocolate candies have a red coating on them. How many red pieces are in a bag of 60 candies?
Answer:
9 red pieces
Step-by-step explanation:
1 bag =15% of chocolate candies with red coating
In a bag of 60 candies , red pieces = 15/100×60
=3×3( after division)
red pieces in a bag of 60 candies=9
4. You decide to purchase a home for $225,000. The bank requires a 10% down payment.
You take out a 30-year, fixed rate mortgage at 4. 5%.
a. How much is the down payment?
b. How much is the mortgage (In other words, how much money are you
borrowing?)
c. What is your monthly mortgage payment?
a. The down payment is $22,500.
b. The mortgage is $202,500.
c. The monthly mortgage payment is $1,027.
a. The down payment is 10% of the home price, which is $225,000 x 0.1 = $22,500.
b. The mortgage is the remaining amount that you need to pay, which is $225,000 - $22,500 = $202,500.
c. The monthly mortgage payment can be calculated using the formula for a fixed-rate mortgage:
Monthly Payment = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]
where P is the principal amount (the mortgage), i is the monthly interest rate (4.5% / 12 = 0.375%), and n is the total number of monthly payments (30 years x 12 months/year = 360).
Plugging in the values, we get:
Monthly Payment = $202,500 [ 0.00375(1 + 0.00375)^360 ] / [ (1 + 0.00375)^360 – 1] = $1,027.
Therefore, your monthly mortgage payment will be $1,027.
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Solve for x in ½ logx64 = 3
(A)
2
(B)
1
(C)
4
(D)
3
Answer:
A
Step-by-step explanation:
Using the rules of logarithms
log\(x^{n}\) = n logx
\(log_{b}\) x = n ⇒ x = \(b^{n}\)
Given
\(\frac{1}{2}\)\(log_{x}\) 64 = 3
\(log_{x}\)\(64^{\frac{1}{2} }\) = 3
\(log_{x}\) 8 = 3
8 = x³
2³ = x³ , then
x = 2
what is the opposite of 24? what is the reciprocal of 24? use a pencil and paper. Describe any similarities and differences between the opposite of a nonzero number and the reciprocal of that number.
the opposite of 24 is □
the reciprocal of 24 is □
Answer:
-24, \(\frac{1}{24}\)
Step-by-step explanation:
An opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0. The opposite number for n is written as −n.
For 24, this is -24.
A multiplicative inverse or reciprocal for a number n, is a number which when multiplied by n, their product is 1. To find the multiplicative inverse of a real number, just divide 1 by that number. The reciprocal for n is written as \(\frac{1}{n}\) or \(n^{-1}\).
For 24, this is \(\frac{1}{24}\).
**This content involves opposite and reciprocal numbers, which you may wish to revise. I'm always happy to help!
Factor by grouping. m²s−m²t − ns + nt
Answer:
m²s − m²t − ns + nt = m²(s - t) - n(s - t) =(m² - n)(s - t)The function shown the the graph is f(x) =
Options
x^4-2x^2+5x+6
x^3-2x^2-5x+6
x^3-2x^2+5x+6
-x^4-2x^2+5x+6
pls help asap,,
Answer:
B
Step-by-step explanation:
We will first look at the end behavior of the graph
Is it down then up which means that the degree is 3 and the coeficcent is positive
this leaves B or C
We then know that the x intercepts are (-2,0) (1,0) (3,0)
The easiest way to proceed from here is just plugging in numbers into our euqation and if the end result is 0 then we got it!
looking at the B we have
-2³-2*-2²-5(-2)+6
this equals 0 which means this is our answer (this elimates C because the only difference between the two equations is the sign on the 5x)
You can also factor it and find the zeroes that way, but it's just more work
If x≠4 and x≠-4, the fraction x^2-8x+16/x^2-16 can be simplified to what?
For the given fraction x^2-8x+16/x^2-16 if x≠4 and x≠-4 the simplified fraction is (x-4)/(x+4).
Simplified fraction refers to the fractions in their lowest form which has been reduced and simplified. The numerator and denominator in the fraction are reduced in simplified fraction to the extent that the only common factor between them is 1.
In order to simplify the fraction (x^2-8x+16)/(x^2-16), first, we must factor the numerator and denominator of the fraction:
Numerator: x^2-8x+16 = (x-4)(x-4) = (x-4)^2
Denominator: x^2-16 = (x-4)(x+4)
So the fraction becomes:
(x-4)^2/(x-4)(x+4)
Next, we can simplify the fraction by canceling out the (x-4) term in the numerator and denominator:
(x-4)/(x+4)
Therefore, the simplified fraction is (x-4)/(x+4) if x≠4 and x≠-4.
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Pease help!
A line intersects the points (-2,11) and (-1, 18).
m=7
Write an equation in the point-slope form using the point (-2,11).
y- [?] = [ ] (x- [ ])
Answer:
The answer is y - 11 = 7 ( x - -2). x minus negative 2
If a right triangle has an acute angle of 43 find its complement
Answer:
47°
Step-by-step explanation:
The given angle and its complement sum to 90°, thus
complement = 90° - 43° = 47°
Welcome, Detective Percent. Recently, there have been many reported scams. After weeks of investigations, you finally tracked down the address of the mastermind. He is an expert in %. He knows you are here to catch him and is in the midst of destroying all the evidence. He needs 30 minutes for the whole process to complete. You have to get through all the locks (full of percentages) to get to his secret chamber before all the evidences are gone.
Answer:
filthy Frank always told ppl who had anime pic where weeaboos
Which value of x makes 7 + 5(x – 3) = 22 a true statement?
Choose 1 answer:
А
x = 4
B
X = 5
x = 6
D
X = 7
Answer:
x = 6
Explanation
what is the equation of the line which has a gradient of 2 and passes through the point (1,4)
Answer:
Y= 2x+2
Step-by-step explanation:
line equation is y=mx +c
m is the gradient = 2
We are given an x and y value
X= 1
y= 4
substitute that into the equation:
4= 2(1) +c
2=c
Put all the equation together:
Y= 2x+2
if you sold 60 cups of lemonade , how many cups of orange drink did you sell
Answer: 0, I think, hope this helps
Step-by-step explanation:
Answer:
you sold 40 cups of orange drink.
Step-by-step explanation:
60*2=120 (the cups of lemonade, multiplied by the cost equals how much you earned from lemonade.)
240-120=120 (how much you earned total, minus 120, how much you earned from lemonade, equals the remainder, how much total you earned for the oragne drinks. )
120/3=40 (the amount you earned for the orange drinks, divided by three, how much you earned for each, which equals 40. and equation would be
240=2x+3y
240=2(60)+3y
240=120+3y
240-120=120-120+3y
120=3y
120/3=3y/3
40=y
Hope this helps!
How do you write 9 to the power of 5 in a multiplication problem??
Answer:
9^5
Step-by-step explanation:
The local bank has a single line for customers waiting for the next available bank teller. There are four bank tellers who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. Customers arrive at the bank at a rate of about twelve every hour. On average, it takes about 15 minutes to serve each customer. Answers to 2 d.p's.
(a) Calculate the probability that the bank is empty.
(b) Calculate the average time the customer spends waiting to be called.
(c) Calculate the average number of customers in in the bank.
(d) The average number of customers waiting to be served
a) The probability that the bank is empty is approximately 0.0026.
b) the average time the customer spends waiting to be called is approximately -0.25 c) hours the average number of customers in the bank is -1.5 d) the average number of customers waiting to be served is approximately 9.
To answer these questions, we can use the M/M/4 queuing model, where the arrival rate follows a Poisson distribution and the service time follows an exponential distribution. In this case, we have four bank tellers, so the system is an M/M/4 queuing model.
Given information:
Arrival rate (λ) = 12 customers per hour
Service rate (μ) = 1 customer every 15 minutes (or 4 customers per hour)
(a) To calculate the probability that the bank is empty, we need to find the probability of having zero customers in the system. In an M/M/4 queuing model, the probability of having zero customers is given by:
P = (1 - ρ) / (1 + 4ρ + 10ρ² + 20ρ³)
where ρ is the traffic intensity, calculated as ρ = λ / (4 * μ).
ρ = (12 customers/hour) / (4 customers/hour/teller) = 3
Substituting ρ = 3 into the formula, we have:
P = (1 - 3) / (1 + 4 * 3 + 10 * 3² + 20 * 3³) ≈ 0.0026
Therefore, the probability that the bank is empty is approximately 0.0026.
(b) The average time the customer spends waiting to be called is given by Little's Law, which states that the average number of customers in the system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In this case, we want to find W.
L = λ * W
W = L / λ
Since the average number of customers in the system (L) is given by L = ρ / (1 - ρ), we can substitute this into the equation to find W:
W = L / λ = (ρ / (1 - ρ)) / λ
W = (3 / (1 - 3)) / 12 ≈ -0.25
Therefore, the average time the customer spends waiting to be called is approximately -0.25 hours, which is not a meaningful result. It seems there might be an error in the given data.
(c) The average number of customers in the bank (L) can be calculated as:
L = ρ / (1 - ρ) = 3 / (1 - 3) = -1.5
Therefore, the average number of customers in the bank is -1.5, which is not a meaningful result. It further suggests an error in the given data.
(d) The average number of customers waiting to be served can be calculated as:
\(L_q\) = (ρ² / (1 - ρ)) * (4 - ρ)
Substituting ρ = 3, we have:
\(L_q\\\) = (3² / (1 - 3)) * (4 - 3) ≈ 9
Therefore, the average number of customers waiting to be served is approximately 9.
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The purpose of statistical inference is to make estimates or draw conclusions about a.
The purpose of statistical inference population based upon information obtained from the sample.
What is statistical inference?statistical inference uses sample data to make estimates of or draw conclusions about one or more characteristics of a population.
The purpose of statistical inference is to estimate this sample to sample variation or uncertainty. Understanding how much our results may differ if we did the study again, or how uncertain our findings are, allows us to take this uncertainty into account when drawing conclusions. It allows us to provide a plausible range of values for the true value of something in the population, such as the mean, or size of an effect, and it allows us to make statements about whether our study provides evidence to reject a hypothesis.
We have four ideas for using the statistical inference.
1. Estimating uncertainty.
2. Confidence intervals.
3. Hypothesis tests.
4. Connections with other material.
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The given question is not complete.
The purpose of statistical inference is to make estimates or draw conclusions about a population based upon information obtained from the sample.
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Nikki dove into a pool and swam underwater the table shows how her depth changed during a 4 second time period which equation shows the relationship in the table between the time t,and depth d
Answer:
I think the answer is d = 1.5t
Step-by-step explanation:
Hi plz help very tired
Answer:
It would be a pyramid. Sometimes it can also be called a rectangular pyramid since the base is a square instead of other possible shapes.
By multiplying 5/3^4 by _________, we get 5^4
The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:
(5/3^4) * x = 5^4
To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:
5^4 = 5 * 5 * 5 * 5 = 625
Now, let's simplify the left side:
5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81
Now we have:
(5/81) * x = 625
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:
(81/5) * (5/81) * x = (81/5) * 625
On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:
1 * x = (81/5) * 625
Simplifying the right side:
(81/5) * 625 = 13125
Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
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If y = -2x + 2,explain how you know that the graph will pass through the point B(0;2)
Answer:
The y-intercept (+2) is 2, which means that it intesrsects the graph at (0,2).
Hope this helps:)
Answer:
Yes, it does pass through the point B(0;2)
Given:
Equation: y = -2x + 2Point: (x, y) = (0, 2)To check if an equation passes through a point, substitute the point values in the equation and check if it becomes true.
y = -2x + 2
2 = -2(0) + 2
2 = 0 + 2
2 = 2
As it becomes true as L.H.S = R.H.S, the equation y = -2x + 2 passes through this point (0, 2).
!!!50 points!!
What are two other names for <2?
Answer:
C.
Step-by-step explanation:
Because R is the vertex and you always name a angle with its vertex in the middle, R would have to be in the middle. So the only possible answer is C.
Find an equation of the line that satisfies the given conditions.Through (-1, -2) and (4, 3)
The equation of the line through the points (-1, -2) and (4, 3) is y = x + 3.
The equation of a line can be found using the point-slope form, where the slope of the line is determined from the two given points and the equation is written in the form y = mx + b, where m is the slope and b is the y-intercept.
Given the points (-1, -2) and (4, 3), the slope of the line can be calculated as (3-(-2))/(4-(-1)) = 5/5 = 1.
Plugging in the coordinates of one of the points and the slope into the point-slope form, we have:
y - -2 = 1(x - -1)
Simplifying, we get:
y = x + 3 is the required equation of the line.
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2 + y + y + y + y + y + 3 ?
Answer:
5 + 5y
Step-by-step explanation:
2 + y + y + y + y + y + 3
Combine like terms
2+3 + y + y + y + y + y
5 + 5y
Find |x| when x = – 15.
HELP ME PLEASEE
Answer: 15
Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.
Which expression is equivalent to (x^4/3 x^2/3)^1/3
?
x^2/9
x^2/3
x^8/27
x^7/3
Answer:
X^2/3
Step-by-step explanation:
Occupation
Median Annual Earnings (Dollars)
Postsecondary Education or Training Category
Sheet metal worker
37,360
Long-term on-the-job training
Massage therapist
33,400
Postsecondary vocational award
Religious worker
24,330
Bachelor’s degree
Mathematician
86,930
Doctor’s degree
Makeup artist
31,820
Postsecondary vocational award
Private detective
33,750
Work experience in a related occupation
U.S. Bureau of Labor Statistics, 2006.
Jasmine wants to enter a career with median earnings of at least $33,500, but she doesn’t want to go to college. Which of the following occupations fits her plan?
a.
Makeup artist
b.
Mathematician
c.
Private detective
d.
Massage therapist
Since Jasmine wants to enter a career with median earnings of at least $33,500, but she doesn’t want to go to college, the occupation that fits her will be C Private detective.
How to illustrate the information?It should be noted that from the information, Jasmine wants to enter a career with median earnings of at least $33,500, but she doesn’t want to go to college.
A Makeup artist earns $31,820.
A Mathematician earns $86,930.
A Private detective earns $33,750
A Massage therapist earns $33,400.
Therefore, the best occupation for her since she doesn't want to go to college and earns above $33500 is the private detective.
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Answer:
C. Private detective
Step-by-step explanation: