Answer: 16/18 and 10/16
Step-by-step explanation: The least common denominator would be 18 and 16 because you would multiply by 2.
Hoped This Helped!
Solve.
−46=21+3m
Enter your answer as a mixed number in simplest form in the box.
m =
Answer:
-22 1/3
Step-by-step explanation:
We should start by subtracting both sides of the equality by 21.
After doing this, we get that -67=3m.
Furthermore, we can divide both sides by 3 and get -67/3=m.
However, this is an improper fraction, not a mixed number.
If we divide -67 by 3, we get -22 1/3.
Therefore, m= -22 1/3
Help Please! Its a Math question. Need help asap.
The composite figure has a total area of 12 square centimeters.
How to determine the area of a composite figure
In this problem we find the area of a composite figure, which is the result of subtracting the areas of four triangles of same dimensions from the area of the entire square. Now we proceed to determine the area:
A = (6 cm)² - 4 · 0.5 · (2 cm) · (3 cm)
A = 36 cm² - 2 · (12 cm²)
A = 36 cm² - 24 cm²
A = 12 cm²
The area of the composite figure is 12 square centimeters.
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Dakota found a vintage skateboard from the 1980s in her parents' garage. The owner of the local skate shop told her the skateboard is currently worth $380 and will increase in value by about 7% each year. Write an exponential equation in the form y=a(b)x that can model the skateboard's value, y, in x years. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = To the nearest dollar, how much will the skateboard be worth in 7 years?
1. An exponential equation modeling the skateboard's value, y, in x years is y = 380 x 1.07ˣ.
2. The value of the skateboard will be worth $610.28 in seven years.
What is an exponential equation?An exponential equation is a mathematical function that depicts an equation with variable exponents.
The exponential function is always written in the form of y = abˣ.
Where a = the constant or initial value, b = the continuous growth rate, and x or t = the time variable.
Y represents the value that we are looking for after the growth rate has been applied for several (t) years.
The current worth of the skateboard = $380
Annual increase = 7% = 0.07
Number of years = 7 years
Y = 380 x 1.07⁷
= 380 x 1.606
= 610.28
= $610.28
Thus, in seven years, using the exponential equation, the skateboard will be worth $610.28.
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Select all the equations that are equivalent to this equation. 14 (8x + 56) = 20 56 + 8x = 80 14 = 20 – 8x 2x + 14 = 5 2x = 6 x = 3
The equation that are equivalent to the equation 1/4 (8x + 56) = 20 are 56 + 8x = 80 and 2x = 6
The equation is
1/4 (8x + 56) = 20
Solve the equation
8x + 56 = 80
8x = 80 - 56
8x = 24
x = 24/8
x = 3
The first equation is
56 + 8x = 80
8x = 80 - 56
8x = 24
x = 24/8
x = 3
The second equation is
14 = 20 - 8x
8x = 20 - 14
8x = 6
x = 6/8
x = 3/4
The third equation is
2x + 14 = 5
2x = 5 - 14
2x = -9
x = -9/2
The fourth equation is
2x = 6
x = 6/2
x = 3
Hence, the equation that are equivalent to the equation 1/4 (8x + 56) = 20 are 56 + 8x = 80 and 2x = 6
The complete question is:
Which equations are equal to this equation? Select all that apply.
1/4 (8x + 56) = 20
a. 56 + 8x = 80
b. 14 = 20 - 8x
c. 2x + 14 = 5
d. 2x = 6
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basic trig, need help please
Answer: θ≈18,553°
Step-by-step explanation:
[tex]\displaystyle\\sin\theta=\frac{7\ cm}{22\ cm} \\\\sin\theta=\frac{7}{22}\\\\\theta=arcsin\frac{7}{22} \\\\\theta\approx18.553^0[/tex]
Can anyone please help me with this question
The length of AD in the parallelogram is 143 cm.
How to find the side of a parallelogram?A parallelogram is a quadrilateral with opposite sides parallel to each other. The opposite angles of a parallelogram are equal. Two adjacent or consecutive angles of a parallelogram are supplementary.
Hence,
2x + 72 + 2x - 20 = 180
4x + 52 = 180
4x = 180 - 52
4x = 128
divide both sides by 4
4x / 4 = 128 / 4
x = 32
Therefore,
∠A = 2(32) + 72 = 64 + 72 = 136 degrees
z = 136°
Therefore,
AC = BC = BD = AD
AC = z + 7
AC = 136 + 7
AC = 143 cm
Hence,
AD = 143 cm
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A triangle has interior angles of 50°, 55°, and 75° with side lengths of 3.1 m, 3.2 m, and 4.0 m. A second
triangle has side lengths of 10.3 m, 10.5 m, and 12.0 m. What must the interior angles of the second triangle
be for the two shapes to be similar?
The interior angles of the second triangle will be 50°, 55°, and 75° respectively.
What are similar triangles?
If the corresponding angles and sides of two triangles are congruent, then the two triangles are said to be similar.
In other words, similar triangles have the same shape but may differ in size.
Given, a triangle has interior angles of 50°, 55°, and 75° with side lengths of 3.1 m, 3.2 m, and 4.0 m.
And, a second triangle has side lengths of 10.3 m, 10.5 m, and 12.0 m.
The corresponding sides of both triangles are 3.1 m, 3.2 m, and 4.0 m with 10.3 m, 10.5 m, and 12.0 m respectively.
Then, the angles of both triangles are also corresponding to each other.
So we get, the interior angles of the second triangle will be 50°, 55°, and 75° respectively.
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Find the distance from the point 4(2-1) to the liney=-x+4. Round your answer to the nearest fenth.
Answer:
2.12
Step-by-step explanation:
Discussion
The answer is given in the graph I've made for you. The distance you want is a contained in a line that is perpendicular to the given line and goes through (2,-1). If I have not interpreted this correctly please leave a comment under the question and I will edit it. I have ignored the 4.
The steps needed are
Find the slope of the line perpendicular to y = - x + 4Find the intersection point on y = - x + 4 and the new line.Use the distance formula to find the distance from (2,-1) to the intersection point found in the second stepGivens
line y = -x + 4
point (2,-1)
Solution
The slope of the second line is
m1 * m2 = - 1
m1= -1 From the given equation
m2 = ?
-1 * m2 = - 1
m2 = 1
Find the equation of the new line
x = 2
y = - 1 from the given point
-1 = 2 + b Subtract 2 from both sides
-1 - 2 = 2-2 + b Combine
-3 = b
Equation of the new line
y = x - 3
Intersection point of the two lines
y = -x + 4
y = x - 3 Add The xs cancel
2y = 1 Divide by 2
y = 1/2
1/2 = -x + 4 Subtract 4 from both sides
1/2 - 4 = -x + 4 -4 Combine
-3 1/2 = -x Multiply both sides by - 1
3 1/2 = x
So the intersection point is (3.5, 0.5)
Find the distance between (2,-1) and (3.5,0.5)
d = sqrt( (2 - 3.5)^2 + (-1 - 0.5)^2 )
d = sqrt( (-1.5)^2 + (-1.5)^2 )
d = ( 1..5 * sqrt(2) )
d = 2.12
PLEASE HELP
Write the equation of a line that is perpendicular to y = 5 and that passes through the point
(-7, --5).
The equation of the line that is perpendicular to y = 5 and that passes through the point (-7, -5) is x = -7.
We have to find the equation of a line that is perpendicular to y = 5 and that passes through the point (-7, -5).
y = 5 is a line that is parallel to the x-axis hence, the line perpendicular to it will be parallel to the y-axis.
Also, the line touches (-7,-5) hence, it will touch the line y = 5 at (-7,5).
Hence, the line perpendicular to y = 5 and that passes through the point (-7, -5) is x = -7.
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A radar tends to overestimate the distance of an aircraft, and the error is a normal random variable with a mean of 50 meters and a standard deviation 100 meters. What is the probability that the measured distance will be smaller than the true distance?.
The likelihood that the measured distance will be shorter than the actual distance is equal to 0.3085.
In this case, the chance that the measured distance will be less than the true distance will be determined using the z-score formula. The z score is a normal score that adheres to a normal distribution with a mean and standard deviation of 0 and 1, respectively.
Given that,
Mean, μ = 50
Standard deviation, σ = 100
Less than 0% of the time, the overestimation is likely.
Consequently, the necessary probability is P (X ≤ 0)
Now,
P (X ≤ 0) = P [(X − μ) / σ ≤ (0 − μ) / σ]
P (X ≤ 0) = P [Z ≤ (0 − 50) / 100]
P (X ≤ 0) = P [Z ≤ − 0.5]
Excel formula for the probability mentioned above:
=NORMDIST(-0.5,0,1,1)
P (X ≤ 0) = 0.3085
0.3085 is the likelihood that the measured distance will be shorter than the actual distance.
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an experimenter would like to construct a 99% confidence interval with a width at most 0.5 for the average resistance of a segment of copper cable of a certain length. if the experimenter knows that the standard deviation of such resistances is 1.55. how big a sample should the experimenter take from the population? what happens if the standard deviation and the width of the confidence interval are both doubled?
64 is the standard deviation and the width of the confidence interval are both doubled .
What is standard deviation in math?
Your dataset's average level of variability is represented by the standard deviation. It reveals, on average, how far away from the mean each value is. A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.Margin of error(E)=0.5
Standard deviation(σ)=1.55
Significance level(α)=100%-99%=1% or 0.01
From Z distribution Critical value table
the Critical value(Zc)=2.58 at significance level=0.01
we know formula for the Margin of error
E = Zc * σ/√n
0.5 = 2.58 * 1.55/√n
√n = 2.58 * 1.55/0.5
√n = 3.999/0.5
√n = 7.998
n = ( 7.998)²
n = 63.968004
Aproximately
n = 64
the realtionship between the sample size and margin of error is inversly proportional.
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discuss three strengths of the linear regression. identify a peer-reviewed study that uses linear regression in its analysis. explain why linear regression was used and discuss one challenge in interpreting the results. include the permalink with your citation.
Linear Regression analysis has three key applications:
(1) evaluating predictor strength, (2) anticipating an effect, and as well (3) trend forecasting.
Define the term linear regression?Linear regression is a fundamental and widely used method of predictive analysis. The overall goal of regression is to investigate two things:
How well does a set of predictor factors predict an outcome (dependent) variable? Which variables, in particular, are significantly predictive of both the outcome variable, and how do they influence it?Regression analysis has three key applications:
evaluating predictor strength,anticipating an effect, trend forecasting.The formula y = c + b*x defines the simplest form of the regression equation with one dependent so one independent variable,
where,
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What is 3/4-3/10for IXL “L.12
The difference of the given fractions is 9/20.
The given fractions are 3/4 and 3/10.
What is subtraction of fractions?Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
The difference of the given fractions is
3/4 - 3/10
= 15/20 - 6/20
= 9/20
Therefore, the difference of the given fractions is 9/20.
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0.1 times n equal's89.5
How do i graph this? 4x - 2y > 12
Step-by-step explanation:
X-intercept is where the line crosses the x-axis or where y = 0
So, put y = 0 in the given equation
4x + 2(0) = 12
4x = 12
x = 12/4
x = 3
if 269 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03? round your answer to four decimal places.
The probability will be 0.9940.
The provided parameters are
p = 0.05 (the true proportion or the mean )
n = 269 ( sample size )
we can calculate standard deviation as follows
σ = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
σ = 0.0132
Now the values that 'x' can take are
x = [tex]x_{1}[/tex] ± [tex]x_{2}[/tex]
x = 0.05 + 0.03, 0.05 - 0.03
x = 0.08 , 0.02
Also the z-score is
z = (x - μ)/σ
z = [tex]\frac{0.08-0.05}{0.0132}[/tex] , [tex]\frac{0.02-0.05}{0.0132}[/tex]
z = 2.27 , -2.27
we now find the p-values for the z-scores
p values are = 0.9970 , 0.0030
The difference in these values will give the probability
∴ P = 0.9970 - 0.0030
P = 0.9940
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plssss help me . i’ll give brainliest .
Greta sells advertising space for her school yearbook. Last year, a quarter-page ad cost $110.
This year, Greta's teacher asks her to mark down the price by 15% to attract more sponsors.
Greta wants to know the price after the markdown.
☐ Let q equal the price of a quarter-page ad after the markdown.
Which equation can you use to find q?
q=110-0.15(15)
q=110 +0.15(110)
q=110 - 0.15(110)
q=110 +0.15(15)
The equation that could be used to find q is q = 110-0.15(110) where q equal the price of a quarter-page ad after the markdown.
According to the question,
We have the following information:
Cost of a quarter-page ad cost = $110
Mark down in the price = 15%
Now, q represents the price of a quarter-page ad after the markdown.
(Note that when we remove the sign of % means that the number has to be divided by 100.)
So, the equation will be the difference of the markdown price from the original price:
q = 110-(15/100)110
q = 110-0.15*110
q = 110-0.15(110)
Hence, the correct option is the third one.
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Which variable is most important to the following problem?
A company has 95,000 shares of stock to sell. A stockbroker decides to buy equal shares of the stock for each of her 250 clients. If the company has 75,000 shares of stock remaining after she makes her purchase, how many shares did each client receive?
The number of shares remaining after the stockbroker buys shares for her customers is 57500
Also, The number of the most important pretty definitely really variable for finding the number of shares the company particularly definitely for all intents and purposes has left in a generally really big way in a fairly big way. Also, The number of shares the company generally really definitely has left after stockbroker's purchase = 95000 - 150×250 = 5750 in a subtle way.
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On May 1st, the temperatures at midnight in five European cities were
measured and the results were as follows.
Glasgow 2°C,
Nice 6°C,
Berlin 0°C,
London 4°C, Oslo -3°C
List the cities in order of the temperature at midnight, starting with the lowest.
a company wants to study the effectiveness of a new pain relief medicine. they recruit 100100100 volunteers with chronic pain. each subject takes the new pain relief medicine for a 222-week period, and a placebo for another 222-week period. subjects don't know which pill is the actual medicine, and the order of the pills is randomly assigned for each subject. researchers will measure the difference in the overall pain level for each subject. what type of experiment design is this?
Completely random design is used in this experiment.
In the given question,
A business wants to investigate the efficacy of a novel painkiller.
100 participants who suffer from chronic discomfort are enlisted.
Each participant takes the brand-new painkiller for two weeks before switching to a placebo for an additional two weeks.
The order of the tablets is chosen at random for each participant, and the subjects are unaware of which pill contains the actual medication.
Each subject's variance in total pain will be measured by researchers.
We have to check what type of experiment design is this.
As we can see in the question that they recruit 100 volunteers with chronic pain and each subject they use new pain relief medicine for a 2-week period and a placebo for another 2-week period.
They assign each subject randomly.
As we know that in a completely random design, treatments are randomly assigned to sampling material. The usual method for doing this is to make a list of the treatments and give each one a random number.
So we can see that completely random design is used in this experiment.
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Alvin's bill for dinner at a restaurant was $96. He left a 20% tip. What was the amount of
the tip?
Answer:$ 17.28
Step-by-step explanation:
Mark up and discount answers
A basketball backboard set that sold for $79 is discounted 15%. What is the sale price?
The sale price of a basketball backboard set that sold for $79 is discounted by 15% is $67.15.
We will use the method of percentage to solve the given question.
We are given:
A basketball backboard set that sold for $79 is discounted by 15%.
We need to find the sale price after the discount is given.
We will subtract the discount from the marked price.
Let us solve this;
Sale price = marked price - discount
Sale price = $79 - $79 * 15%
Sale price = $79 - $79 * 15 / 100
Sale price = $79 - $11.85
Sale price = $67.15
So, the sale price will be $67.15.
Thus, the sale price of a basketball backboard set that sold for $79 is discounted by 15% is $67.15.
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if m angle 1 =3x +15 and m angle 2 = 6x+3 find x
Answer:
x=27 I think
Step-by-step explanation:
1 = 3x + 15
2 = 6x + 3
We can solve by putting both equations together.
Let's multiple the top equation by -2
-2(1 = 3x + 15)
-2 = -6x - 30
2 = 6x + 3
0=x - 27
27=x
8.How do you know whether the graph of g(x) = a |x| is a vertical stretch or a vertical
shrink of the graph of f(x) = b |x|?
Answer
it’s because of the amplitude the value in the front controls the height
Step-by-step explanation:
A.
EASY POINTS WILL GIVE BRAINLIST TO BEST ASWER!!
write the point slope form of the equation of the line through the given point with the given slope
(-2, -3) slope = 2
Answer:
y+3=2x+4
Step-by-step explanation:
Lines AB and CD are straight lines. Find x and y .
⇒ ∠AOC+∠AOE+∠EOD=180°(angles on a straight line are supplementary)
16°+90°+2y=180°
[tex]106+2y=180\\2y=180-106\\2y=74\\\frac{2y}{2} =\frac{74}{2} \\y=37[/tex]
∴y=37°
∠AOC+∠COF∠BOF=180°(angles on a straight line are supplementary)
16°+90°+4x=180
[tex]106+4x=180\\4x=180-106\\4x=74\\\frac{4x}{4} =\frac{74}{4} \\x=18.5[/tex]
∴x=18.5°
Can anyone answer this question?
The equation of the graph in vertex form is: y = 1x – 3| + 5.
How to Write the Equation of a Graph?The graph in the diagram above is a graph of an absolute value equation. The equation can be expressed as y = a|x – h| + k (vertex form), where the vertex is represented as (h, k).
The vertex of the graph is the coordinate of the point where the two straight lines meet.
Given the graph above, the vertex is at point (3, 5). Therefore:
h = 3
k = 5
The graph opens up, so the value of a = 1.
Substitute h = 3 and k = 5 into y = a|x – h| + k:
y = 1|x – 3| + 5
y = 1x – 3| + 5
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What is the generator for the sequence: 1, 3, 9, 27, 81, ... *
O 2
O 4/3
O 8/3
O 3
Answer:
3
Step-by-step explanation:
what it means by generator is the continuance of the multiplication process so 1x3=3 and then 3x3=9 and so on.
Write an equation for each line using slope intercept form
Answer:
y = -5/3 - 3
Step-by-step explanation:
Since it's given a graph, we can use rise over run to figure it out
We pick 2 points that are integers on the graph , which means two points on the graph that the line goes through
Example- I picked (-3, 2) and (0, -3), you can indicate them so you don't forget or anything
We now draw a triangle formed by those two points (a line that goes from (-3, 2) to (-3, -3) and a line from (0, -3) to (-3, -3)
Rise (Which is the height of the triangle you just drew) is 5 units, but it's going down, so -5
The base (Run) is 3 units. Using rise/run, the slope is -5/3
The y-intercept, which is at the point where the graph crosses the y-axis, is -3.
The slope intercept form is y=mx+b, where m = slope and b = y-intercept, so the equation of the graph is y = -5/3x -3