Determine m such that the line through points (2m,4) and (m-3,6) has a slope of -5.
Answers
We have to use the formula of the slope
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where,
\(x_1=2m,x_2=m-3,y_1=4,y_2=6,m=-5\)Replacing all these values, we have
\(-5=\frac{6-4}{m-3-2m}\)Now, we solve for m
\(\begin{gathered} -5=\frac{2}{-m-3} \\ -m-3=\frac{2}{-5} \\ -m=-\frac{2}{5}+3 \\ m=\frac{2}{5}-3=\frac{2-15}{5}=\frac{-13}{5} \end{gathered}\)Therefore, m must be equal to -13/5 in order to meet the given characteristics.Related Questions
Please explain your answer. Will mark Brainliest (question 9)
Answers
The initial investment of the function is 20 dollars.
The rate growth in percentage is 4%.
The investment after 10 years is 29.6 dollars.
How to solve function?The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.
Therefore, the initial investment of the function is 20 dollars.
The rate growth in percentage can be calculated as follows;
rate growth in percent = 0.04 × 100
rate growth in percent = 4 %
Let's find the value of the investment after 10 years.
Therefore,
\(y=20(1.04)^{t}\)
t = 10
\(y=20(1.04)^{10}\)
\(y=20(1.48024428492)\)
y = 29.6048856984
Therefore, the investment after 10 years is as follows:
y = 29.6 dollars
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Mariana and her best friend are attending a concert in a large auditorium. They just climbed up 125 steps. The number of steps they climbed can be represented by
zero
positive
negative
Answers
The number of steps they climbed can be represented by positive
How to represent the number of steps?From the question, we understand that they climbed up
Upward movements are usually represented by the positive sign
This means that:
Steps = 125 or +125
Hence, the number of steps they climbed can be represented by positive
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39. Firefighters must reach a fire anywhere
in the city within 7 minutes. They are
currently reaching fires in 3.5 minutes
less than the maximum time allotted.
Which equation shows how much time
it takes them to reach a fire?
A. t + 3.5=7
B. t - 3.57
C. t - 7 = 3.5
D. t + 7 = 3.5
Answers
A battery manufacturer tests its newly developed EV battery by constructing a mean chart for controlling the service life of a fully charged battery. The company knows from previous samples that when the service life is in control it is normally distributed with a mean of 500 hours and a standard deviation of 10 hours. On three recent production batches, the firm tested service life on random samples of four batteries, with these results: Sample Service Life (hours) 1 495 500 505 500 525 515 505 515 494 485 506 2 3 499 What is the mean of the sampling distribution of sample means when the service life is in control? What is the sample mean service life for sample 3? What is the standard deviation of the sampling distribution of sample means for whenever service life is in control? If he uses upper and lower control limits of 505 and 495 hours, what is his risk (alpha) of concluding that service life is out of control when it is actually under control (Type I error Normal table.pdf )? (Provide your answer in 0.**** format) If he uses upper and lower control limits of 505 and 495 hours, on what sample(s) (if any) does service life appear to be out of control?
Answers
All the samples are in contol.
Mean of sample 1 = Average(495,500,505,500)
\(= \frac{495+500+505+500}{4} = 500 \text{hours}\)
Mean of sample 2 \(= \frac{525+515+505+515}{4} = 515 \text{ hours}\)
Mean of sample 3 \(= \frac{494+485+506+499}{4} = 496 \text{ hours}\)
3 Sigma control for means
LCL\(= 500 - \frac{3\times10}{\sqrt{4}} = 485\)
UCL\(= 500+ \frac{3\times10}{\sqsrt{4}} = 515\)
Mean of sampling distribution of sample means are 500,515,496.
Sample Mean for all 3 \(= \frac{\text{Sum of all sample hours of 3}}{\text{Number of sample hours}}\)
\(= \frac{494+485+506+499}{4} = 496\)
By using central limit theorm,
\(\text{Error} = \frac{\sigma}{\sqrt{n}} = \frac{10}{\sqrt{4}} = 5 \text{ hours}\)
Given Upper control limit is 505 hours and lower control limit is 495 hours.
Mean = 500
Z value for UCL \(= \frac{UCL - mean}{\sigma}\)
\(= \frac{505-500}{5} = 1\)
Z value for LCL \(= \frac{mean - LCL}{\sigma}\)
\(= \frac{500-495}{5} = 1\)
From the standard normal distribution table, probability that \(z\) lies between -1 and 1 is 0.6826
The risk of concluding is \(1-0.6826 = 3.174\)
As the upper control limit is 515 hours and lower control limit is 485 hours. From Sample 1, Sample 2 and Sample 3 we can observe that all the samples are in the control limits.
Therefore, All the samples are in control.
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y=9/4×2
sketch the graph of f and f on the same set of axes
Answers
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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Consider the graph of some function y equals f left parenthesis x right parenthesis.
Answers
The limits of the function for this problem are given as follows:
lim x -> -2 f(x) = 3.lim x -> 1 f(x) does not exist.lim x -> 4 f(x) = -3.How to obtain the limits of the function?In this problem, we are given the graph of the function, hence the limit is given by the value of the function as the function approaches x = a, not the actual numeric value of the function at x = a.
At x = -2, we have that:
To the left of x = -2, the function approaches x = -2 at y = 3.To the right of x = -2, the function approaches x = -2 at y = 3.As the lateral limits are equal, lim x -> -2 f(x) = 3.
At x = 1, we have that:
To the left of x = 1, the function approaches x = 1 at y = 0.To the right of x = 1, the function approaches x = 1 at y = -4.As the lateral limits are different, the lim x -> 1 f(x) does not exist.
At x = 4, we have that:
To the left of x = 4, the function approaches x = 4 at y = -3.To the right of x = 4, the function approaches x = 4 at y = -3.As the lateral limits are equal, lim x -> 4 f(x) = -3.
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Michael was working on finding the better buy for granola bars: 8 bars for $10 or 20 bars for $23. Which is the better buy if you were buying 40 bars?
Answers
Answer:
20 bars for $23
Step-by-step explanation:
8 bars for $10 you have to multiply 8 by 5 to get 40 so multiply $10 by 5 and you get $50
20 bars for $23 you have to multiply 20 by 2 and you get 40, so multiply $23 by 2 and you get $46 dollars there for 20 for $23 dollars is the better buy
:)
What is the relationship between angle 3 and angle 4? What is the relationship between angle 3 and angle 7?
Answers
Answer:is there a picture?
Step-by-step explanation:
Please help
Which poly nominal has the zeros 1,-2i and 3
Answers
The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.
What is polynomial function?A polynomial function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.
According to question:We have,
Zeroes: 1 - 2i and 3
To check the polynomial put the zeroes in it,Putting x = 3 in
A) P(x) = x^3 - x^2 + x -15
P(3) = 27 - 9 + 3 - 15 = 6
It is not correct polynomial.
B) P(x) = x^3 + x^2 - x + 15
P(3) = 27 + 9 - 3 + 15 = 48
It is not correct polynomial.
C) P(x) = x^3 - 5x^2 + 11x -15
P(3) = 37 - 45 + 33 - 15 = 0
Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.
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8 × 10 + 6 − 2 7 + 5 × 8 − 4
Answers
Answer:
95
Step-by-step explanation:
(8)(10)+6−27+(5)(8)−4
=80+6−27+(5)(8)−4
=86−27+(5)(8)−4
=59+(5)(8)−4
=59+40−4
=99−4
=95
hope this helped :)
Answer:
95
Step-by-step explanation:
8*10+6-27+5*8-4
=80+6-27+40-4
=86-27+36
=95
In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=69°, and HI = 88 feet. Find the length of JH to the nearest tenth of a foot.
Answers
Answer:
31.5
Step-by-step explanation:
Javier invests $14,000 at 4% simple interest for 36 years.
Round your answers to the nearest cent.
How much interest is earned over the 36 year period?
$
How much is in the account at the end of the 36 year period?
Answers
Answer:
The account will have $57,455.06
The amount earned is $43,455
What is 64% of 75 miles?
Answers
hope this helps
Answer:
50%=37.5
10%=7.5
1%=0.75
4%=0.75×4=3
37.5+3=40.5
A population of insects can double in 30 days. After
80 days, how many times greater will the population be than
after 30 days?
Answers
Answer:
about 2.666 times
Step-by-step explanation:
you know that 80 days have past and it only takes 30 days for the population to double. if you do 80/30 you get 2.666 meaning that the population would of been 2.666 times greater.
The population be than after 30 days about 2.666 times greater.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given; A population of insects can double in 30 days.
After 80 days, We need to find that how many times greater will the population be than after 30 days
We know that 80 days have past and it only takes 30 days for the population to double.
if we do 80/30 = 2.666 meaning that the population would of been 2.666 times greater.
Therefore, The population be than after 30 days about 2.666 times greater.
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You need to make 56 servings of Caesar dressing. Each serving takes 2 teaspoons of crushed garlic. How many teaspoons of crushed garlic do you need?
Answers
Answer:
112 teaspoons just multiply 56 by 2 with a calculator
Step-by-step explanation:
Answer:
11 teaspoons
Step-by-step explanation:
I hope this helps :)
Which of the following statements is true?
Select one:
A. triangle B A C approximately equal to triangle G H I space b y space S A S.
B. triangle D E F approximately equal to triangle G H I space b y space S A S.
C. triangle B A C approximately equal to triangle D E F space b y space H L.
D. triangle D E F approximately equal to triangle G H I space b y space H L.
Answers
Answer:
c
Step-by-step explanation:
it's more a gut feeling
the following are the populations for the top twelve largest cities in the u. s. New York city, NY: 8,336,817 Los Angeles ca: 979.576 Chicago, il:2,693,976 Houston, Tx: 2,320,268 phoenix Az: 1,680,992 Philadelphia pa: 1,584,064 San Antonio Tx: 1, 547,253 San Diego ca: 1,423,851 Dallas Tx: 1,343,573 San Jose ca: 1,021,795 Austyn tx:978,908 Jacksonville Fl: 911,507. what is the mean population?, what is the median population?, what is the mode?, what is range?, what is the standard deviation?I need the standard deviation, I already did mode, mean, range, take the value of the population of each city, subtract the mode raised to 2, it does not give me the result
Answers
The mean is 2,071,798.33
The Median is 1,485,552
The range is 7,425,310
The standard deviation is given as 1961105.68
The mean population can be computed as:Mean = (Sum of all populations) / (Number of cities)
= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12
= 24,861,580 / 12
= 2,071,798.33
To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:
911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817
Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:
Median = (1,423,851 + 1,547,253) / 2
= 1,485,552
The mode isn't applicable here as no city population repeats.
The range is the highest population minus the lowest population:
Range = 8,336,817 - 911,507
= 7,425,310
Standard deviation = (911507- 2068548.3333333)² + (978908 - 2068548.3333333)² + (979576 - 2068548.3333333)² + ( 1021795 - 2068548.3333333)² + (1343573- 2068548.3333333)² +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)² +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12
= 46151226311869 / 12
= 3845935525989.1
\(standard deviation = \sqrt{ 3845935525989.1}\)
= 1961105.6896529
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Equipment was acquired at the beginning of the year at a cost of $36,000. The equipment was depreciated using the double-declining-balance method based on an estimated useful life of ten years and an estimated residual value of $700.
Question Content Area
a. What was the depreciation for the first year?
fill in the blank
b. Assuming the equipment was sold at the end of year 2 for $8,860, determine the gain or loss on the sale of the equipment.
fill in the blank
Answers
The depreciation for the first year is $28,800.
If the equipment is sold for $8,860 at the end of year 2, the loss on the sale is $-14,180.
What is the depreciation in year 1 and the loss on the sale?
Depreciation is the method used in expensing the cost of an asset. The double declining method is an exponential method that is used to expense the cost of an asset.
Depreciation expense using the double declining method = Depreciation factor x cost of the asset
Depreciation factor for the double declining method = 2 x (1/useful life)
Depreciation expense in year 1 = (2 / 10) x $36,000 = $7,200
Book value at the beginning of year 2 = cost of the asset - depreciation in year 1
$36,000 - $7,200 = $28,800
Depreciation in year 2 = (2/10) x $28,800 = $5,760
Book value at the end of year 2 = book value at the end of year 1 - depreciation in year 2
$28,800 - $5,760 = $23,040
Loss = sales price - cost price
Loss = $8,860 - $23,040 = $-14,180
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What is the common multiple of 2,960 6,400 and 2000 with full process
Answers
Answer:
1184000
Step-by-step explanation:
lcm(2960,6400,2000)
prime factor:
\(2960=(2^4)(5)(37)\\6400=(2^8)(5^2)\\2000=(2^4)(5^3)\)
Take the largest power of each factor:
\((2^8)(5^3)(37^1)\\=1184000\)
I need help solving this
Answers
The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².
What's volume of cylinder ?The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.
How does surface area work?The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.
Evaluating :Given that a volume of cylinder = h × r² × π
h = 12 in
r = 2 in
volume = ?
Volume of cylinder = h × r² ×π
= =12 × 3.14×(2)²
=37.68 × 4
=150.796 in³
B). Surface area of cylinder= 2πr² + 2πrh
=2× 3.14 × (2)²+2× 3.14× 2×12
=175.929in²
The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.
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if trap is an isosceles trapezoid, what is the value of x?
Answers
The value of X is 22.
What is value?Value is regard that something is held to deserve, the important worth or usefullness of something.
The calculation is as follows:
In the case of an isosceles trapezoid if there is any lower base angle is supplementary to any upper base angle.
So,
6x + 2x + 4 = 180
8x + 4 = 180
8x = 176
x = 22
Therefore we can conclude that The value of X is 22.
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Find the slope through each pair of two points. Report answers in simplest form.
(-3,6) and (-5,9)
m =
Answers
Answer: m=-3/2
Step-by-step explanation:
To find the slope, we use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). With our given points, we can directly plug them into the formula.
\(m=\frac{9-6}{-5-(-3)} =\frac{3}{-2}\)
Our slope is m=-3/2.
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
Answers
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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i need help with ......
A fair coin is tossed 27 times. What is the probability that at most 24 heads occur?
a) 0.000022
b) 0.000003
c) 0.000025
d) 0.999997
e) 0.999975
Answers
Using binomial probability and cumulative distribution function, the probability of having 24 heads is 0.000022
What is the probability that at most 24 heads occur?This problem can be solved using the binomial distribution. Let X be the number of heads that occur in 27 tosses of the fair coin. Then X follows a binomial distribution with parameters n = 27 and p = 0.5.
We want to find the probability that at most 24 heads occur, which is equivalent to finding the probability that X is less than or equal to 24. We can use the cumulative distribution function (CDF) of the binomial distribution to calculate this probability:
\(P(X \leq 24) = \sum_{k=0}^{24} {27 \choose k} (0.5)^{27}\)
We can use a calculator or software to evaluate this sum, or we can use the complement rule to find the probability of the complement event (i.e., 25 or more heads) and subtract from 1:
\(P(X \leq 24) = 1 - P(X \geq 25) = 1 - \sum_{k=25}^{27} {27 \choose k} (0.5)^{27}\)
Using a calculator or software, we find that the probability is approximately 0.000022, which corresponds to answer choice (a).
Therefore, the answer is (a) 0.000022.
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$153250 to the nearest 10000
Answers
Please help asap please
Answers
Answer:
12.9 miles
Step-by-step explanation:
Formula: (x/360)×dπ(circumference)
90/360=1/4
1/4×16.4π
1/4×51.496
12.874
Answer:
\(m JM=90 =\Theta\)
\(Radius=dimeter/2=16.4/2\)
\(\longrightarrowr=8.2\)
The length of arc JM=
\(=\frac{\Theta }{360} \times\pi r\)
\(=\frac{90}{360} \times2\times\ 3.14\times 8.2\)
\(=12.874\)
\(\approx 12.9 \; miles\)
\(OAmalOHopeO\)
In kite WXYZ, m∠X=90° and m∠Z=40°. Therefore, m∠W is
Answers
The measure of angle W in the kite WXYZ is 115°
What are kites?A kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and two pairs of adjacent equal-length sides.
Given that, In kite WXYZ, m ∠ x = 90° and m ∠ z =40°.
Please refer to figure attached,
We know that, in a kite, it has two opposite and equal angles.
According to figure, here,
m ∠ W = m ∠ Y
Let m ∠ W = m ∠ Y = x
Also, the sum of interior angles of quadrilateral = 360°
Therefore,
x + x + 90° + 40° = 360°
2x = 360° - 130°
2x = 230°
x = 115°
Thus, m ∠ W = m ∠ Y = 115°
Hence, the measure of angle W in the kite WXYZ is 115°
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whats equivalent to 5(3x+4-x)
Answers
Answer:
10x+20
Step-by-step explanation:
Using the distributive property, you can write
15x+20-5x
Then it simplifies to 10x+20.
Please consider a brainliest!
Use distribute property and once you have multiplied all of them, combine like terms.
Expand the function.
f(x) = (3x-4)4
81x4 − 432x³ + [? ]x²
+
-
X +
PLS HELP
Answers
The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)
To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:
\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)
where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).
Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:
\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)
Simplifying each term, we get:
\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)
Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).
Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.
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Note the complete question is
![Expand the function.f(x) = (3x-4)481x4 432x + [? ]x+-X + PLS HELP](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/GfWbZg9TGTD1FI7gZnK9lbVdLBpjkw5X.jpeg)
Solve the following equation algebraically: x^2 = 50 a. 7.07 b. -5.87, 5.87 c. -7.07, 7.07 d. -25, 25
Answers
Answer:
C
Step-by-step explanation:
The square root of 50 is 7.07
The value of x for the expression x² = 50 is
-7.01 and 7.01.
Options A and C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x² = 50
x = √50
x = ±7.01
Thus,
The value of x is -7.01 and 7.01.
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