Contains the origin and is parallel to the line 8x − 3y = 3
Answers
Answer:
y=(8/3)x
Step-by-step explanation:
First, we make 8x-3y=3 into the form y=mx+b
3y=8x-3
y=(8/3)x-1
For an equation to be parallel to this equation, the slope must be the same, so the new equation will be:
y=(8/3)x+b
We know that (0,0) is a point in this line. We plug (0,0) into the equation to find b:
0=(8/3)*0+b
b=0
y=(8/3)x
Related Questions
Margie makes a necklace using 14 purple beads for every 6 silver beads. The necklace contains 80 beads. How many of each color bead are in the necklace?
Answers
The quantity of each colour beads that are in the necklace include the following:
Purple beads = 56
Purple beads = 56silver beads = 24
Purple beads = 56silver beads = 24What is a ratio?A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.
The number of purple beads = 14
The number of silver beads ,= 6
The total quantity of beads = 80
Therefore the total combination = 14+6 = 20
For purple beads = 14/20 × 80/1
= 1120/20 = 56
For silver beads = 6/20×80/1
= 480/20= 24
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Find the area. Round to the nearest hundredth if necessary
Answers
kill meStep-by-step explanation:
Answer:
8,667.14
Step-by-step explanation:
1. Multiply 29.1 by 20.4 = 593.64
2. Multiply 593.64 by 14.6 = 8,667.14
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
Answers
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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The IQ scores and science test scores of fourth grade students is given by the regression line ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100. Find and interpret the residual.
Answers
Answer:
24
Step-by-step explanation:
Given the equation of the regression line :
y = - 20.3 + 0.489s
where ŷ is the predicted science score
s = IQ score
An actual science test score for a student is 52.6 with an IQ of 100.
Find and interpret the residual.
The predicted science test score for a student with an IQ of 100 is :
y = - 20.3 + 0.489(100)
y = - 20.3 + 48.9
y = 28.6
The residual = actual - predicted score
The residual = 52.6 - 28.6 = 24
Hence, the residual is 24 which is the error in prediction made about the actual score.
Answer:
−1.99; The regression line overpredicts the student's science test score.
Step-by-step explanation:
What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 17 meters, and a length of 13 meters?
Answers
Answer:
why is brainlys tutor system not free anymore I really need help from somebody, i used to use tutors so much but now i have none ro help me
What is the reciprocal of 8 5/6
Answers
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
Answers
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
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if loga (n) = 16, find loga (sqrtt n)
Answers
Answer:
8
Step-by-step explanation:
by definition:
\(log_an=16\\\\log_a\sqrt{n}=log_a n^{\frac{1}{2}}=\frac{1}{2}log_a n=\frac{1}{2}(16)=8\)
Order these numbers from least to greatest.
Answers
Answer: -6 2/3, square root of 36, 6.4..., 71/11
Step-by-step explanation:
Turn the fractions into decimals for more understanding and solve for the square root of 36, 6.4... stays the same
r/6=-2 i need help TvT
Answers
Answer:
r=-12 (R equals negative 12)
Step-by-step explanation:
r/6=-2
r=-2*6
r=-12
Consider this function.
f(x) = |x – 4| + 6
If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and its inverse related?
Answers
If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.
The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.
If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.
The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).
The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.
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Please answer the question CORRECTLY with a logical explanation. You will get brainliest guaranteed.
Answers
Answer:
It is irrational, & cannot be written as a fraction.
Step-by-step explanation:
\(\sqrt{2}\) will give you a very odd number when plugged into the calculator.
1.414213562
With our knowledge of rational vs. irrational numbers, we know that means \(\sqrt{2}\) has to be irrational because it is not a whole number, not an integer, & cannot be condensed into a fraction.
Any time you see a number that isn't a perfect square in a square root, it might be best to guess it is irrational.
Always plug it into a calculator (if possible) to check!
Hope this helps. :)
Write 310,763,029 expanded form
Answers
Answer:
300,000,000
10,000,000
700,000
60,000
3,000
20
9
Step-by-step explanation:
160 51 what is the value of x
Answers
Answer:x=58
Step-by-step explanation:
Did it already
which expression has a negative value
Answers
Answer:
-35/5 will have a negative value.
Step-by-step explanation:
-35/5=-7
A coach of a baseball team orders hats for
the players on his team. Each hat costs
$9.95. The shipping charge for the entire
order is $5.00. There is no tax on the order.
The total cost of the coach's order is less
than $125.00. Which inequality can be
used to determine the greatest number of
hats, h, the coach orders?
Answers
Answer:
9.95h + 5 ≤ 125
Step-by-step explanation:
let 'h' = number of hats
Write an inequality to represent the situation below:
A child can be a maximum of 50 pounds to play on the playground.
ANSWERS ONLY NO LINKS PLEASE!!!!
Answers
\(c\leq 50\\\\(c=child)\\\\Sorry \ if \ this \ didn't \ help \ you.\)
hay 1230 personas, entre hombres y mujeres. Si se sabe que el número de mujeres, supera en 150 al número de hombres. ¿Cuántos hombres están habitando la mini ciudad?
Answers
There are 540 men living in the mini city.
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
Therefore, there are 540 men living in the mini city.
To check our answer, we can substitute x = 540 into our original equation:
540 + (540 + 150) = 1230
690 = 1230
This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.
We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
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Drake is an online sales representative who makes $37,500 per year plus a $6.75 fee for each sale he makes. If Drake makes an average of 200 sales per month, what are his annual earnings
Answers
Answer:
\(Annual\ Earnings = \$53700\)
Step-by-step explanation:
Given
\(Earnings = \$37500\) (yearly)
\(Average\ Sales = 200\) (monthly)
\(Sales = \$6.75\)
Required
Determine the total annual earnings
First, we need to determine the earnings from sales in a year
There are 12 months in a year;
So:
\(Total\ Sales = 200 * 12 * \$6.75\)
\(Total\ Sales = \$16200\)
Annual Earnings is then calculated as thus:
\(Annual Earnings = \$16200 + \$37500\)
\(Annual\ Earnings = \$53700\)
Please help ASAP!! I'm really struggling at this problem. Will give 10 points & to the brainliest!
Answers
Answer: B
Step-by-step explanation:
To find the result of the dilation, multiply each x and y coordinate by the scale factor, which in this case, is 1.5. I started out with the coordinate P, which had an original coordinate of (-2,1). In this case, I multiplied -2 by 1.5, and 1 by 1.5 to get (-3, 1.5). Since this is multiple choice, the only one with P as (-3, 1.5) is B, so we don't have to check the others.
The answer is B.
1) Apply dilation
2)Find each one x coordinate (x,y)
3) Find the y coordinate for each one
4) See which one matches your answers
Hope this helps!
It takes 20 days using 12 machines to produce a batch of pens.
due to a fault only 3 machines were used for the first 8 days, all 12 machines were used from day 9 onwards.
how many days in total to produce the batch of pens
Answers
It would take a total of 20 days to produce the batch of pens.
Let's calculate the work done by the 3 machines for the first 8 days:
Work done by 3 machines in 8 days = (3/12) * 8 = 2 days' worth of work
The remaining work that needs to be done by all 12 machines is:
Remaining work = 1 - (2/20) = 0.9
Now, we can use the work formula to find the total number of days needed to complete the remaining work with 12 machines:
Total work = 0.9
Work done by 12 machines in one day = 12/20 = 0.6
Total number of days needed = 0.9/0.6 = 1.5
Therefore, the total number of days needed to produce the batch of pens is:
8 (days with 3 machines) + 1.5 (days with 12 machines) = 9.5 days
However, we also need to add the 10.5 days it would take for all 12 machines to complete the batch from the beginning:
10.5 + 9.5 = 20 days
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Out of the 25 families that Tod delivered magazines to on
Friday, 10 families were home and the rest were away. How is
the fraction of magazines that were delivered to families who
were home written as a decimal?
Answers
The fraction of magazines that were delivered to families who were home written as a decimal is 0.4
Difference between fraction and decimal?
There are just two ways to represent numbers: fractions and decimals. In comparison to decimals, where the whole number part and the fractional part are connected by a decimal point, such as in the case of 0.5, fractions are expressed as p/q, where q0. Decimals and fractions show the link between parts and wholes. We use 1 to represent the entire in fractions and decimals. To comprehend the relationship between fractions and decimals, let's look at some instances. Think of a six-slice, full-thin crust pizza. Your mother gave you three slices, or half of it, which is written as 1/2 in fractional form and as 0.5 in decimal form.Total number of families = 25
Number of families in home = 10
Then, number of families away = 25 - 10 = 15
Fraction of magazines that were delivered to families who were home
= Number of families in home/ Total number of families
= 10 / 25
= 0.4
Hence, the fraction of magazines that were delivered to families who
were home written as a decimal is 0.4
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To estimate the height of a building, two students find the angle of elevation from a point (at ground levedown the street from the building to the top of the building is 30°. From a point that is 400 feet closer tothe building, the angle of elevation (at ground level) to the top of the building is 52°. If we assume thatthe street is level, use this information to estimate the height of the building.The height of the building isfeet.
Answers
Given:
ground to building top is 30 degrees.
Distance = 400 feet
The angle of elevation at is top of the building = 52 degrees.
Find-: Height of the building.
Sol:
For the triangle ABC
Perpendicular = Height
Base = x
Angle = 52
Use trigonometric formula:
\(\begin{gathered} \tan\theta=\frac{\text{ Perpendicular}}{\text{ Base}} \\ \\ \tan52=\frac{H}{x} \\ \\ 1.2799=\frac{H}{x} \\ \\ x=\frac{H}{1.2799} \end{gathered}\)For the triangle ABD is:
Perpendicular = Height
Base = x+400
Angle = 32
\(\begin{gathered} \tan\theta=\frac{\text{ Perpendicular}}{\text{ Base}} \\ \\ \tan32=\frac{H}{x+400} \\ \\ 0.6249=\frac{H}{x+400} \\ \\ \end{gathered}\)Put the value of "x" is:
\(\begin{gathered} 0.6249(x+400)=H \\ \\ 0.6249x+249.947=H \\ \\ 0.6249(\frac{H}{1.2799})+249.947=H \\ \\ 0.488H+249.947=H \\ \\ 0.512H=249.947 \\ \\ H=488.407 \\ \end{gathered}\)So the height of the building is: 488.407 feet
What are the solution(s) of the quadratic equation 98 - x2 = 0?
O x = +2/7
O x = +673
O x = +7/2
O no real solution
Answers
Answer:
Solutions are x=7 square 2
The solutions of the quadratic equation 98 - x² = 0 are ±7√2.
What are Quadratic Equations?Quadratic expressions are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given quadratic equation is,
98 - x² = 0
This can be written as,
98 = x², or
x² = 98
Now, taking the square root on both sides,
√x² = √98
x = √98
Write 98 as the product of perfect square.
98 = 49 × 2
√98 = √(49 × 2) = √49 × √2 = ±7√2
Hence the solutions are ±7√2.
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please help and answer ASAP please will mark Brainlest
What is the value of x?
Enter your answer in the box.
x =
°
Answers
Answer:
80 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.
find an equation that passes through (1 ,2) and is parallel y=3x-9
Answers
Answer:
A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the point (1, 2)
Substituting the values we get:
y - 2 = 3(x - 1)
Simplifying the equation we get:
y - 2 = 3x - 3
y = 3x - 1
Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .
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Do anyone know the answer to this question
Answers
Answer:
$471.43 per night
Step-by-step explanation:
$3,300 divided by 7= 471.428571429
Rounded up with eight and its 471.43
Fluffy the bunny ate 1 4 of a carrot in the morning, and he ate some more at night. By the end of the day, he still had 1 3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?
Answers
Answer:
She ate 5/12 of carrot hope it's help
Nicole and all of her co-workers wear blue uniforms. Andrew works with Nicole. Olivia does not wear a blue uniform. Everyone who wears a blue uniform also wears a white shirt .
Which statement must be true?
A. Olivia wears a white shirt
B. Olivia does not work with Nicole
C. Some of Nicole's co-workers do not wear white shirts
D. Olivia is a co-worker of Nicole
E. Nicole does not wear a white shirt
Answers
The correct statement which satisfies the given condition will be that Olivia does not work with Nicole so option (B) will be correct.
What is the reasoning?the procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
In another word, the reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.
Given that Olivia does not wear a blue uniform.
All co-workers wear blue uniform
It mean olivia doest not work with Nicola.
Hence Olivia does not work with Nicole will be the correct answer.
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What is the value of x? Enter your answer in the box. X = cm 5 cm 48 cm 40 cm
Answers
The value of x in the similar triangle is 6 units.
How to find side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:
Hence,
5 / 40 = x / 48
48 × 5 = 40x
240 = 40x
divide both sides by 40
x = 240 / 40
x = 6
Therefore,
x = 6
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