Answer:
2
Step-by-step explanation:
The numerical coefficient is the number that is multiplied to a variable.
Example.
2x^2 + 7y^3
The numerical coefficients would be 2 and 7.
So for your problem it would be 2 since 2 is the number being multiplied to x and y.
worth 30 points!!!!
pls screenshot and answerrr
In a survey 7 out of 8 people preferred cooking to washing dishes what percentage of the people surveyed preferred cooking
The percentage of the people that preferred cooking who where surveyed would be = 87.2%
How to calculate the percentage of people who preferred cooking?The total number of people surveyed = 8
The total number of people that preferred cooking = 7
The percentage of people that preferred cooking;
= 7/8×100/1
= 700/8
= 87.2%
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Using the following set of data, calculate the lower quartile, the upper quartile, and the interquartile range.
20, 22, 25, 28, 29, 30, 32, 33, 34
Be sure to show your work for finding:
the lower quartile
the upper quartile
the interquartile range
Answer:
To find the lower and upper quartiles and the interquartile range, we first need to order the data from smallest to largest:
20, 22, 25, 28, 29, 30, 32, 33, 34
Next, we find the median (middle value) of the entire dataset:
Median = (29 + 30) / 2 = 29.5
This median value divides the data into two halves. We then find the median of the lower half of the data, which includes all values less than or equal to 29.5:
Lower half: 20, 22, 25, 28, 29
Median of lower half = (25 + 28) / 2 = 26.5
This value, 26.5, is the lower quartile (Q1).
Similarly, we find the median of the upper half of the data, which includes all values greater than or equal to 29.5:
Upper half: 30, 32, 33, 34
Median of upper half = (32 + 33) / 2 = 32.5
This value, 32.5, is the upper quartile (Q3).
Finally, we can calculate the interquartile range (IQR) as the difference between the upper and lower quartiles:
IQR = Q3 - Q1 = 32.5 - 26.5 = 6
Therefore, the lower quartile is 26.5, the upper quartile is 32.5, and the interquartile range is 6.
A right rectangular prism had a length 2 1/2yd, width 3 1/2yd, and height 1 1/2yd. You use cubes with fractional edge length 1/2yd to find the volume. How many cubes are there for each of the length, width, and height of the prism? Find the volume.
The volume of the rectangular prism is 13.125 cubic yards.
Calculating the number of cubes and the volumeTo find the number of cubes that fit along the length, width, and height of the rectangular prism, we need to divide the length, width, and height by the edge length of each cube, which is 1/2yd.
Along the length: (2 1/2 yd) / (1/2 yd) = 5 cubes
Along the width: (3 1/2 yd) / (1/2 yd) = 7 cubes
Along the height: (1 1/2 yd) / (1/2 yd) = 3 cubes
Therefore, there are 5 cubes along the length, 7 cubes along the width, and 3 cubes along the height of the rectangular prism.
To find the volume of the rectangular prism, we can multiply the length, width, and height:
Volume = (2 1/2 yd) x (3 1/2 yd) x (1 1/2 yd)
Volume = (5/2 yd) x (7/2 yd) x (3/2 yd)
Volume = (13.125 yd^3)
Therefore, the volume of the rectangular prism is 13.125 cubic yards.
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Richard is saving money for a down payment on a car. He opens a savings account at his local bank and deposits $500. He models his savings plan with the equation y = 200x + 500 based on his current monthly savings rate.
Here the correct statements can be
The y-intercept represents D) the starting amount in his savings account.
The slope represents C) the change in the dependent variable with respect to the independent variable.
What is meant by y-intercept?
The y-intercept is the point where a line intersects the y-axis on a graph. It represents the value of the dependent variable when the independent variable is zero.
What is meant by the term slope?
The slope is a measure of the steepness of a line on a graph. It is calculated by dividing the change in the y-coordinate by the change in the x-coordinate between two points on the line.
According to the information
The y-intercept of the linear model y = 200x + 500 represents the starting amount in Richard's savings account.
The slope of the linear model y = 200x + 500 represents the change in the dependent variable (y, the savings amount) with respect to the independent variable (x, the number of months). Specifically, the slope of 200 means that for every additional month, Richard's savings will increase by $200.
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What is the result when the number 59 is decreased by 3.9%? 59
Answer:
Step-by-step explanation:
To find the result when the number 59 is decreased by 3.9%, we need to first calculate what 3.9% of 59 is.
To do this, we can multiply 59 by 3.9% (or 0.039), which gives us:
59 x 0.039 = 2.301
This tells us that 3.9% of 59 is 2.301.
Next, we need to subtract 2.301 from 59 to get the final result:
59 - 2.301 = 56.699
Therefore, the result when the number 59 is decreased by 3.9% is 56.699. we could say that if you take 3.9% of 59 and subtract that amount from 59, the answer is 56.699.
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find the values of variables, then find the lengths of the sides of each quadrilateral
Q6)Define the term 'Molar mass'. State its unit of measurement.
What is a ‘Mole’? Write the value for avogadro’s number
Answer:
The molar mass of a chemical compound is defined as the ratio between the mass and the amount of substance of any sample of said compound.
unit of measurement: g/mol.
A mole is the amount of substance that contains as many elementary entities as there are atoms in 12g of carbon-12.
Avogadro's number= 6.02*10^23 particles.
PLEASE HELP ASAP!! (Please do this if ur good at Scientific Notation) please tell me which 4 should I put in the box! (Click picture) ‼️‼️
Answer:
1st one is 6.9 X 10^6
2nd one is 2 x 10^5
Step-by-step explanation:
shayla is buying a birthday present for her mother. she decides to buy a bracelel for 20$. the sales tax is 6%. what is the total cost of the bracelet.
The total cost of the bracelet after tax cost addition would be = $21.2
How to calculate the total cost of bracelet?The initial cost of the bracelet = 20$
The percentage of tax = 6%
The cost of tax = 6/100 ×20/1 = $1.2
The total cost of the bracelet after the addition of tax would be = 20+1.2 = $21.2
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NO LINKS!! URGENT HELP PLEASE!!
Please help me with #19
Answer:
a. 1.95 cm.
b. 3920 cm^2.
Step-by-step explanation:
(a) To find the length of the arc that subtends the central angle theta on a circle of diameter d, we can use the formula:
Arc Length = (theta / 360°) x (pi x d)
Substituting the given values, we get:
Arc Length = (1.6 / 360°) x (pi x 140 cm)
Arc Length ≈ 1.95 cm
Therefore, the length of the arc that subtends the central angle of 1.6 radians on a circle of diameter 140 cm is approximately 1.95 cm.
(b) To find the area of the sector determined by the central angle theta, we can use the formula:
Area of Sector = (theta / 2π) x pi x (r^2)
where r is the radius of the circle.
Since the diameter of the circle is given as 140 cm, the radius is half of that, which is 70 cm.
Substituting the given values, we get:
Area of Sector = (1.6 / (2 x pi)) x pi x (70 cm)^2
Area of Sector ≈ 3920 cm^2
Therefore, the area of the sector determined by the central angle of 1.6 radians on a circle of diameter 140 cm is approximately 3920 cm^2.
Please hurry due today I will give you brainlest if correct
what are the steps for using a compass and straightedge to construct a line through point A that is parallel to line j? Drag the steps and drop them in order from start to finish.
1. place the point of the compass on point Q and open it to width QR
2. use the straightedge to draw AB-->.
3. Use the straightedge to draw a line k that passes through A and intersects line j. label the point A and draw an arc that intersects line k. Label the intersection as point S.
4. With the compass opening set to width QR, place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Lab the intersection of the arcs as point B. 5. Place the point of the compass on the point P and draw an arc that intersects lines j and k. label the intersections as points Q and R
Answer:
1. Place the point of the compass on point Q and open it to width QR.
2.Place the point of the compass on the point P and draw an arc that intersects lines j and k. Label the intersections as points Q and R.
3.Use the straightedge to draw a line k that passes through A and intersects line j. Label the point A and draw an arc that intersects line k. Label the intersection as point S.
4. With the compass opening set to width QR, place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Label the intersection of the arcs as point B.
5. Use the straightedge to draw AB -->.
Step-by-step explanation:
What is the greatest common factor of the polynomial below?
12x²9x
OA. 4x
OB. 3x
OC. 4x²
OD. 3x²
The greatest common factor (GCF) of the polynomial 12x²9x is 3x, therefore option B is correct.
How to Find the Greatest Common Factor of a Polynomial?The Greatest Common Factor (GCF) of a polynomial is the largest factor that all of the terms in the polynomial have in common.
To find the GCF, we need to find the largest factor that both terms have in common. Both terms have a factor of 3x, so that is the greatest common factor. Factoring out 3x from each term gives:
12x²9x = 3x(4x)3(3x) = 3x(4x3)
So the GCF of 12x²9x is 3x.
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Select all the expressions that have the same value. a \large 3^3 b \large 3^4 c \large 6^2 d \large 6^3 e \large 9^2 f \large 9^3
The expressions that have the same value are: b) 3^4 = 81 and e) 9^2 = 81
Selecting all expressions that have the same value.To compare the expressions, we can simplify them using the rules of exponents:
a) 3^3 = 27
b) 3^4 = 81
c) 6^2 = 36
d) 6^3 = 216
e) 9^2 = 81
f) 9^3 = 729
Using the above as a guide, we have the following:
Therefore, the expressions that have the same value are: b) 3^4 = 81 and e) 9^2 = 81
So, options b and e have the same value.
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Find the mean of the data set:
87,79,92,71,88,70,91,82,85
Round your answer to the nearest tenth.
Provide your answer below:
The mean of the data set is 82.77
How to calculate the mean of the data set?If we want to find the mean, we would have to put it at the back of our minds that the mean is the same as the average. As such, we would have to take the sum of all the values that have been listed in the data set and divide by the total number of the data.
The first step is to arrange the data set orderly from smallest to largest;
70, 71,79, 82,88,85,87,91,92
We have nine values in the data set thus the mean is;
70+71+79+82+88+85+87+91+92/9= 745/9= 82.77
Hence the mean of the data set is 82.77
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Question in attachment...................
Answer:
12.5ft tall.
Step-by-step explanation:
The volume of a rectangular box is V = L x W x H
We are given volume, length, and width, allowing us to solve for height.
3000 ft^3 = 96 ft x 2.5 ft x H ft
Divide both sides by 96 x 2.5 to isolate H
3000 / (96 x 2.5) = H
H = 12.5 ft.
Answer:
12.5 feetStep-by-step explanation:
It's given that One of the first electronic computer was in the shape of a huge box. It was 96 m long and 2.5 m wide.
Length of the box = 96 feet
Breadth of the box = 2.5 feet
Also The amount of space inside was approximately 3,000 cubic feet i.e volume of the box is 3000 ft³.
We know that volume of cuboid is calculated by,
Volume = l × b × h96 × 2.5 × h = 3000
240 × h = 3000
h = 3000/240
h = 12.5 feet
Therefore, Height of the computer is 12.5 feet
I need help with this regression question!
The power function that models the data is 0.117t^1.585.
In 1985, the average cost of natural gas was estimated to be $7.24 per 1000 ft³.
How to determine power function?a. To model the data with a power function, use general form of a power function:
C = ktⁿ,
where C = average cost of natural gas, t = time in years, k = a constant, and n = power.
Take the logarithm of both sides to linearize the equation:
log(C) = log(k) + n × log(t)
Use a linear regression to find the slope and y-intercept of the line, which will give us the values of k and n:
n ≈ 1.585
log(k) ≈ -0.921
k ≈ 0.117
Therefore, the power function that models the data is:
C = 0.117t^1.585
b. To estimate the average cost of natural gas in 1985, we can substitute t = 11 (since 1985 is 11 years after 1974) into the power function:
C = 0.117(11)^1.585 ≈ 7.24
Therefore, estimate the average cost of natural gas in 1985 to be $7.24 per 1000 ft³.
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What angle(s) on the Unit Circle make this equation true?
-√3 csc(2θ) = 2
a. Using only the graph of the given equation on Desmos, what angle(s) on the Unit Circle make this equation true? You must include a detailed, labeled screenshot as your explanation or detailed, labeled drawing of the graph as you solution.
b. Even though Desmos found the angle(s) that make the equation true in part (a), you must now show why the angle(s) are true. Provide a clear, convincing argument why the angles you stated in part (a) are true without the use of Desmos in anvway.
The angles on the Unit Circle that make the equation -√3 csc(2θ) = 2 true are θ = π/6 + 2πn and θ = 5π/6 + 2πn, where n is an integer.
How to calculate the valueFrom the information, the following can be deduced:
-√3 csc(2θ) = 2
csc(2θ) = -2/√3
sin(2θ) = -√3/2
We know that sin(2θ) = 2sin(θ)cos(θ) by the double-angle identity for sine,
2sin(θ)cos(θ) = -√3/2
2sin(θ)cos(θ) = -√3/2
sin(θ)cos(θ) = -√3/4
sin(θ)cos(θ) = sin(π/3)sin(θ)
cos(θ) = sin(π/3)
θ = π/6 + 2πn, 5π/6 + 2πn
Therefore, the angles on the Unit Circle that make the equation -√3 csc(2θ) = 2 true are θ = π/6 + 2πn and θ = 5π/6 + 2πn, where n is an integer
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It is equally probable that the pointer on the spinner
shown will land on any one of the eight regions,
numbered 1 through 8. If the pointer lands on
a borderline, spin again. Find the probability that the
pointer will stop on an even number or a number less
than six
Answer: the answer is 4
Step-by-step explanation: good luck
An ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. An agricultural association publishes tariff rates for railroad-car shipments of ethanol. Assuming that the standard deviation of such tariff rates is $1150, determine the probability that the mean tariff rate of 600 randomly selected railroad-car shipments of ethanol will be within $90 of the mean tariff rate of all railroad-car shipments of ethanol. Interpret your answer in terms of sampling error.
Therefore, the probability that the mean tariff rate of 600 randomly selected railroad-car shipments of ethanol will be within $90 of the mean tariff rate of all railroad-car shipments of ethanol is approximately 0.9732 or 97.32%.
What is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability theory is widely used in many fields, including mathematics, statistics, physics, engineering, economics, and social sciences. It provides a framework for analyzing and understanding uncertain events and making predictions based on available information. Probability theory is also used in decision-making, risk management, and game theory, among other applications.
Here,
Let μ be the mean tariff rate of all railroad-car shipments of ethanol, and let x be the mean tariff rate of a random sample of 600 railroad-car shipments of ethanol. We want to find the probability that x will be within $90 of μ.
The standard error of the mean (SE) can be calculated as:
SE = σ / √(n)
where σ is the standard deviation of the population, n is the sample size.
Substituting the given values, we get:
SE = 1150 / √(600)
≈ 47.03
The probability that x will be within $90 of μ can be calculated by standardizing x using the standard error and the z-score formula:
z = (x - μ) / SE
z = ($90) / 47.03
≈ 1.915
Using a standard normal distribution table or calculator, we can find that the probability of getting a z-score less than 1.915 is approximately 0.9732.
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Write an equation of the form y = mx for the line shown below.
Answer:
y = (5/3)x + 2/3
Step-by-step explanation:
find slope
rise/run
(4--1)/(2--1)
(5)/(3)
M = 5/3
then plug in a point to get the y-intercept
4 = (5/3) * 2 + b
4 = 10/3 + b
subtract 10/3 on both sides
2/3 = b
in y =mx +b the equation is
y = (5/3)x + 2/3
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The calculated value of the perimeter of triangle ABD is 48 units.
Calculating the perimeter of the triangle ABDGiven that
A(1, 1), B(17, 1) and D(17, 13)
To find the perimeter of triangle ABD, we need to find the lengths of its three sides and add them up.
We can use the distance formula to find the lengths of the sides.
The distance between points A and B is:
AB = √((17 - 1)^2 + (1 - 1)^2) = √(256) = 16
The distance between points B and D is:
BD = √((17 - 17)^2 + (13 - 1)^2) = √(144) = 12
The distance between points D and A is:
DA = √((1 - 17)^2 + (1 - 13)^2) = √(256 + 144) = √(400) = 20
Therefore, the perimeter of triangle ABD is:
AB + BD + DA = 16 + 12 + 20 = 48
So, the perimeter of triangle ABD is 48 units.
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Assume you have a balance of $1200 on a credit card with an APR of 18%, or 1.5% per month. You start making monthly payments of $200, but at the same time you charge an additional $80 per month to the credit card. Assume that interest for a given month is based on the balance for the previous month. The following table shows how you can calculate our monthly balance. Complete and extend the table to show the balance at the end of each month until the debt is paid off. How long does it take to pay off the credit card debt? Fill out the table row by row, and continue until the last full payment. (Round to the nearest cent as needed.) Month Payment Expenses Interest 0 1 $200 $80 0 015 × $1200 = $18.00 2 $200 $80 New Balance $1200 $1200 - $200 ÷ $80 ÷ $18.00 = $1098.00 (0,1) More
Look at the key below the map that shows the color-scaled performance range. What is the range for 1 Year performance? How does it compare to the 1 Dat performance range? Why do you think this is the case?
1 year performance: -30%, -20%, -10% 0%, 10%, 20%, 30%
1 Day performance : -3%, -2%, -1%, 0, 10%, 20%, 30%
The range of 1 year performance is more than 1 Day performance.
We have,
1 year performance: -30%, -20%, -10% 0%, 10%, 20%, 30%
1 Day performance : -3%, -2%, -1%, 0, 10%, 20%, 30%
Now, the range of 1 year performance
= Highest - lowest
= 30 - (-30)
= 60
and, the range of 1 Day performance
= Highest - lowest
= 30 - (-3)
= 33
Thus, the range of 1 year performance is more than 1 Day performance.
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jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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answer ASAP pls with as as much detail in how to complete it as possible :))
in general, if you have the ratio of the volume of two figures how do you find the ratio of their edge lengths? And does how to do this differ between shapes (if so could you explain for triangles pls?)
To find the ratio of edge lengths of two triangles given their area ratio, we need to take the square root of the area ratio.
Finding the volumeTo find the ratio of edge lengths of two figures given their volume ratio, you need to use the fact that volume is proportional to the cube of the edge length.
If we have two figures, Figure A and Figure B, with edge lengths a and b respectively, and their volumes are in the ratio of V(A) : V(B) = k, then we can set up the following equation:
(Volume of A) / (Volume of B) = (a^3) / (b^3) = k
We can then solve for the ratio of edge lengths:
a / b = (k)^(1/3)
Therefore, to find the ratio of edge lengths given the volume ratio, we need to take the cube root of the volume ratio.
This method works for any shape, as long as the volume formula for that shape involves the cube of the edge length. For example, this method works for cubes, rectangular prisms, cylinders, spheres, and so on.
For triangles, however, we cannot use this method directly because the volume of a triangle is not a function of its edge length. Instead, we can use similar triangles to find the ratio of their edge lengths.
If we have two similar triangles, with corresponding sides in the ratio of a : b, then their areas are in the ratio of (a^2) : (b^2). We can use this fact to find the ratio of their edge lengths:
a / b = sqrt(Area of first triangle / Area of second triangle)
So, to find the ratio of edge lengths of two triangles given their area ratio, we need to take the square root of the area ratio.
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Carole surveyed the class for a math project. Below are the results of her survey. What type of graph is best for Carole to display her data? A. bar graph B. line graph C. histogram D. circle graph
Answer:
A
Step-by-step explanation:
it is a bar graph because it involves class interval
Many fences in a rectangular area for his dog to play in the backyard. The area measures 35 yards by 45 yards .What is the length of fence that Manny uses a) 1,575 yards b) 160 yards c) 80 yards d) 35 yards
On solving the provided question we can say that Manny would thus require 160 yards of fencing to surround the rectangular plot.
What is perimeter?A boundary is a closed route that embraces, encircles, or delimits a two-dimensional form or length in one dimension. The perimeter of a circle or an ellipse is its outermost section. The perimeter calculation is used in a variety of real-world situations. The perimeter of a form is the radius of its edge. Discover how to calculate the perimeter by adding the lengths of the sides of various shapes. The perimeter of a shape may always be calculated by multiplying the lengths of its sides. The perimeter of a thing is the region that surrounds it. At your house, one example is an enclosed garden. The distance around anything is referred to as its perimeter. A 200-foot fence will be required for a 50-foot-by-50-foot yard.
P = 2(l + w), where l is the length and w is the width, gives the perimeter of a rectangle.
The length in this example is 35 yards, while the breadth is 45 yards. So,
[tex]P = 2(35 + 45)\\= 2(80)\\= 160 yards\\[/tex]
Manny would thus require 160 yards of fencing to surround the rectangular plot.
As a result, option (b) 160 yards is the right answer.
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Solve the systems of equations shown below.
2x- 6y = -12
X + 2y = 14
f(x) = - 2x ^ 2
g(x) = x - 3
h(x) = 2f(x) - g(x)
Find h (-1).
The indicated value h(-1) has a value of 0 when evaluated
Find the indicated value of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = - 2x ^ 2
g(x) = x - 3
h(x) = 2f(x) - g(x)
The indicated value of the function is
h(-1)
This means that
h(-1) = 2f(-1) - g(-1)
Calculate g(-1)
So, we have
g(-1) = -1 - 3
g(-1) = -4
Calculate f(-1)
So, we have
f(-1) = -2 * (-1)^2
f(-1) = -2
Recall that
h(-1) = 2f(-1) - g(-1)
Substitute the known values in the above equation, so, we have the following representation
h(-1) = 2 * -2 + 4
Evaluate
h(-1) = 0
Hence, the value is 0
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