When graphing an equation on graph paper I have to have all of these but: B. work shown.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.What is a graph?In Mathematics and Geometry, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis) respectively.
In conclusion, you do not need to have your algebraic work shown when graphing an equation on graph paper.
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Round your answer to the nearest hundredth.
Answer:
∠ A ≈ 75.96°
Step-by-step explanation:
using the tangent ratio in the right triangle
tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then
∠ A = [tex]tan^{-1}[/tex] ( 4 ) ≈ 75.96° ( to the nearest hundredth )
how do you find the area of a trapizoid
Answer:
By using the formula down below you can find the area of a trapezoid
A = [tex]\frac{a+b}{2}[/tex]h
↑ Area
A = Base
B = Base
H = Height
Example.
A = 12
B = 4
H = 2
First “ A “ + “ B “ =
12 + 4 = 16
16 / 2 = 8
8 x “ h “
8 x 2 = 16
Answer is 16
Thus the answer is, above
So if you look that up then it will show you how to find the area of a trapizoid
Anwer fast due tomorrow show work
Answer:45.3 miles/h
Step-by-step explanation
let 'x' be the speed of the car.
60 × 2/3 = 120/3 = 40
30 × 1/5 = 151/5
151/5 /40 = x / 60
151 / 200 = x / 60
=> x = (151×60) / 200
=> x = 45.3
Simply 4(2y-4)-11y????
Answer:
[tex]\mathrm{-3y-16}[/tex]Step-by-step explanation:
[tex]\mathrm{4(2y-4)-11y}[/tex]
Apply the distributive property:-
[tex]\mathrm{8y-16-11y}[/tex]
Combine like terms:-
[tex]\mathrm{8y-11y=\bf-3y}[/tex]
[tex]\mathrm{-3y-16}[/tex]
_________________________
Hope this helps! :)
a. Use the appropriate formula to find the value of the annuity.
b. Find the interest.
Periodic Deposit
$120 at the end of every six months
i Click the icon to view some finance formulas.
Rate
Time
4.5% compounded semiannually 30 years
a. The value of the annuity is $
(Do not round until the final answer. Then round to the nearest dollar as needed.)
The esteem of the annuity is roughly $21,713.22.
The intrigued (interest) earned on the annuity is roughly $14,513.22.
How to Solve the Problem?A. To discover the esteem of the annuity, we are able utilize the equation:
PV = C * ((1 - (1 + r)^(-n)) / r)
where PV is the display esteem of the annuity, C is the intermittent store, r is the intrigued rate per period, and n is the entire number of periods.
In this case, C = $120, r = 4.5%/2 = 0.0225 (since the intrigued is compounded semiannually), and n = 2 * 30 = 60 (since there are 2 periods per year for 30 a long time).
Stepping in these values, we get:
PV = $120 * ((1 - (1 + 0.0225)^(-60)) / 0.0225) ≈ $21,713.22
In this manner, the esteem of the annuity is roughly $21,713.22.
B. The intrigued earned on the annuity would be the overall esteem of the annuity short the entire sum stored over the 30-year period. The full sum kept would be:
Add up to Stores = $120 * 2 * 30 = $7,200
So the intrigued earned would be:
Intrigued = $21,713.22 - $7,200 = $14,513.22
In this manner, the intrigued earned on the annuity is roughly $14,513.22.
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Students are making lemonade from a powdered lemon drink mix. Jonathan mixes 2 cups of water and 7 teaspoons of powdered lemon mix. Maya mixes 1 cup of water and 7 teaspoons of powdered lemon mix. Whose mix will be more lemony?
Group of answer choices
Maya’s mix will be more lemony.
Jonathan’s mix will be more lemony.
The two mixes will be equally lemony.
Answer: Maya’s mix will be more lemony.
Step-by-step explanation:
We see that both Jonathan and Maya mix 7 teaspoons of the powdered lemon mix. Since we are finding whose mix will be more lemony, we need to find the person who added less water since their mixture will be less diluted.
This leads us to Maya, she only added 1 cup of water while Jonathan added 2 cups of water. Maya's mixture will have a higher concentration since she has a higher ratio of lemon to water than Jonathan.
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The correct statements regarding the scatter plot are given as follows:
The line of best fit gives the best approximation between the SAT score and the GPA.The line of best fit can be used to predict the GPA based on the SAT score.A reasonable prediction of GPA for a SAT score of 2100 is a GPA of 3.5.What is the scatter plot?The scatter plot, as shown by the image given in the problem is a series of points of the data-set in the following format:
(SAT score, GPA).
There is a positive association between the data, as the line of best fit, which gives the best approximation between the SAT score and the GPA, and can be used to predict the GPA based on the SAT score, is increasing.
For a SAT score of 1700, an expected GPA is of about 3.1, considering the intersection of y = 3.1 with the line of fit when x = 1700.
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Questions:
Suppose a team of biologists has been studying a fishing pond. Let x represent the length of a single trout taken at
random from the pond. This group of biologists has determined that x (trout length) has a normal distribution with
mean (mu) 10.5 inches and standard deviation (sigma) 1.2 inches. Use calculator command (normalcdf) to find
your answer. Show your work by writing the command and numbers that you input. Round your answer to 4
decimal places. Circle your final answers.
1. What is the probability that the length of a single trout taken at random from the pond is between 7 and 11
inches long?
2. What is the probability that the mean length of five trout taken at random is between 7 and 11 inches?
1. To find the probability that the length of a single trout taken at random from the pond is between 7 and 11 inches long, we need to use the normalcdf command with the given parameters. The formula for normalcdf is normalcdf(lower bound, upper bound, mean, standard deviation).
Thus, normalcdf(7, 11, 10.5, 1.2) = 0.6827.
Therefore, the probability that the length of a single trout taken at random from the pond is between 7 and 11 inches long is 0.6827.
2. To find the probability that the mean length of five trout taken at random is between 7 and 11 inches, we need to use the central limit theorem, which states that the sample mean will also follow a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size (i.e., sigma/sqrt(n)).
Thus, we first need to find the standard deviation of the sample mean, which is sigma/sqrt(n) = 1.2/sqrt(5) = 0.5367.
Then, we can use the normalcdf command with the given parameters. The formula for normalcdf is normalcdf(lower bound, upper bound, mean, standard deviation).
Thus, normalcdf(7, 11, 10.5, 0.5367) = 0.9468.
Therefore, the probability that the mean length of five trout taken at random is between 7 and 11 inches is 0.9468.
Consider the following equations. y=2x+7 2x+y=−7 y=12x−4 y=−2x+7 2y−x=−8 Which two equations represent a system of linear equations with infinitely many solutions? Responses y=12x−4 and 2y−x=−8 , y is equal to 1 half x minus 4 and 2 y minus x is equal to negative 8 y=−2x+7 and y=12x−4 y is equal to negative 2 x plus 7 and y is equal to 1 half x minus 4 2x+y=−7 and y=−2x+7 2 x plus y is equal to negative 7 and y is equal to negative 2 x plus 7 y=2x+7 and y=−2x+7
The system of linear equations with infinite solutions is:
2y = x - 8 and y = (1/2)*x - 4
Which two linear equations make a system with infinite solutions?A system of linear equations :
y = ax + b
y = cx + d
Has infinite solutions if and only if both equations represent the same line (then the lines intercept at infinite points)
The equations given are:
y = 2x + 7
2x + y = -7
y = (1/2)x - 4
y = -2x + 7
2y - x = -8
If we take the last one:
2y - x = -8
We can rewrite this as:
2y = x - 8
y = (1/2)*x - (1/2)*8
y = (1/2)*x - 4
That is other of the equations no the list, so the system with infinite solutions is:
2y = x - 8 and y = (1/2)*x - 4
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Given the table of values below from a quadratic function, write an equation of that function.
X | 0 | 1 | 2 | 3 | 4 |
———————————
Y | 4 | 10 | 12 | 10 | 4 |
this is a answer, thanks
Answer:
Step-by-step explanation:
For which equations below is x = -3 a possible solution? Select three options.
Ox| = 3
Ox| = -3
01-x| = 3
Ox|=-3
O-kx| = -3
4 yd
15 yd
8 yd
Surface Area =
The surface area of a rectangular prism of dimensions 4yd, 15 yd and 8 yd is given as follows:
S = 424 yd².
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.
The dimensions for this problem are given as follows:
4 yd, 15 yd and 8 yd.
Hence the surface area of the prism is given as follows:
S = 2 x (4 x 15 + 4 x 8 + 15 x 8)
S = 424 yd².
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45 teachers teach math and 9 teachers teach science. What is the ratio of science teachers to math teachers?
The ratio of science teachers to math teachers is 1:5.
The ratio of science teachers to math teachers can be found by dividing the number of science teachers by the number of math teachers.
The ratio of science teachers to math teachers = (Number of science teachers) / (Number of math teachers)
Here, the number of science teachers is 9 and the number of math teachers is 45.
The ratio of science teachers to math teachers = 9 / 45
Simplifying this ratio by dividing both the numerator and denominator by 9, we get:
The ratio of science teachers to math teachers = 1 / 5
Therefore, the ratio of science teachers to math teachers is 1:5.
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Your generous wealthy aunt wants to ensure you have enough money to cover rent and food while you go to college so you don’t need to work while you’re in classes. Together you decide $18,000 per year is sufficient to cover your basic needs. How much does your aunt need to invest in a bond mutual fund that yields 3.0% in order for it to provide $18,000 a year for you?
Your close relative has to contribute $17,430 in a bond shared finance that yields 3.0% for it to supply $18,000 a year for you.
How to Solve the Problem?To calculate the sum that your close relative has to contribute in a bond common finance to supply you with $18,000 per year, you wish to utilize the equation for the display esteem of an annuity.
PV = PMT * (1 - (1 + r)^(-n)) / r
where:
PV = display esteem
PMT = installment sum (in this case, $18,000 per year)
r = intrigued rate (3.0%)
n = number of periods (in this case, 1 year)
Substituting the values into the equation:
PV = $18,000 * (1 - (1 + 0.03)^(-1)) / 0.03
PV = $18,000 * (1 - 0.9709) / 0.03
PV = $18,000 * 0.0291 / 0.03
PV = $17,430
Subsequently, your close relative has to contribute $17,430 in a bond shared finance that yields 3.0% for it to supply $18,000 a year for you.
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A baseball stadium has 18 rows with 142 seats in each row.
Answer: 2,556 seats
Step-by-step explanation
18 x 142 =2,556 seats
Solve for W.
w² + 7w = 0
Answer:
w=0,
w=-7
Step-by-step explanation:
El profesor de educación física tenía 12 balones y ahora tiene 96 por cuanto se multiplicó la cantidad de los balones
Help solving
5/8 + 11/12 =
Answer:
37/24
Step-by-step explanation:
You have to find the common denominator.
Solve the system.
x + 7y-z = 49
2x - 5y + 2z = -28
x-6y=-32
The values of x, y and z in the given simultaneous equation is:
x = 4
y = 6
z = -3
What is the solution to the simultaneous equation?The 3 simultaneous equations are given as:
x + 7y - z = 49
2x - 5y + 2z = -28
x - 6y=-32
Rearranging the first equation gives:
x = 49 - 7y + z
2x - 5y + 2z = -28
x - 6y = -32
Substitute 49 - 7y + z into equations 2 and 3 to get:
2(49 - 7y + z) - 5y + 2z = -28
49 - 7y + z - 6y = -32
Convert the equation in terms of u and solving simultaneously gives:
y = 6 and z = -3
Thus:
x = 49 - 7(6) + (-3)
x = 4
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Need help looking for the area.
The area under the curve (since the function of the parabolic expression is y = x - x²) is 1/6 square units.
What is a parabolic expression?A parabolic function has an expression represented as f(x) = ax² + bx + c, which allows solving for x using either the factorization method or applying the quadratic formula. By zeroing out this expression, it becomes possible to determine its roots as with any quadratic equation.
In the case of the above function:
To find the area under the curve, above the x-axis, we need to integrate the parabolic expression from 0-1
that is:
∫[0,1](x-x²)dx
This is evaluated using the power rule
∫[0,1](x-x²)dx = [1/2x² - 1/3x³) fro x= 0 to x = 1
inserting the limits of the integration, we have:
[1/2 (1) ² - 1/3 ( 1) ³] - [1/2 (0)² - 1/3 (0) ³]
Simplified, and we have :
Area = 1/2 - 1/3
Thus, Area under the curve = 1/6
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consider the following two claims about whether the government should do more to help the poor and middle class
. A adjusted for inflation, income has risen significantly over recent decades with average households income in the us rising nearly 30% over the time period.
claim 2. a adjusted for inflation, income has been relatively stagnant for more than three decades, with average household income in the us rising less that 10%over that time period
Therefore, it is clear that the government should do more to help the poor and middle class, as their incomes have been relatively stagnant for an extended period of time.
Both claims are true, depending on the time period being considered. If we look at the time period over the last few decades, then Claim 1 is accurate, as average household income has risen nearly 30% over the time period, adjusted for inflation.
However, if we look at the past three decades, then Claim 2 is more accurate, as average household income has only risen less than 10%, adjusted for inflation.
Therefore, it is clear that the government should do more to help the poor and middle class, as their incomes have been relatively stagnant for an extended period of time.
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PLEASE I NEED AN ANSWER QUICKLY
Let c = children's and a = adults.
Mathland Theatre charges $5.00 for children's tickets and $9.00 for adult tickets. One night the theatre sold 290 tickets and took in $2250. How many of each type of ticket were sold?
The number of children ticket sold is 90 while the number of adult ticket sold is 200.
How to find the number of each type of ticket sold?Math land theatre charges $5.00 for children's tickets and $9.00 for adult tickets. One night the theatre sold 290 tickets and took in $2250.
Therefore, let's find the number of each type of ticket sold as follows:
Hence,
Let
c = children's ticketa = adult ticketsTherefore, using equation,
c + a = 290
5c + 9a = 2250
Multiply equation(i) by 5
5c + 5a = 1450
5c + 9a = 2250
subtract the equation
4a = 800
divide both sides by 4
a = 800 / 4
a = 200
Therefore, let's find c
c = 290 - 200
c = 90
Hence,
number of children's ticket = 90
number of adult tickets = 200
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You are given an image of a panda to create a custom shirt. The original image is 9mm tall and 16mm wide. You need to enlarge the image by a scale factor of 6. What is the new height?
The height of the image after the dilation with scale factor of 6 is given by the relation H = 54 mm
Given data ,
Let the image be an image of a panda to create a custom shirt
Now , original image is 9mm tall and 16mm wide
Let the dilation scale factor of enlargement be k = 6
So , the new image is 6 ( 9mm tall and 16mm wide )
On simplifying the equation , we get
The new image is 54 mm tall and 96 mm wide
Hence , the height of the image is 54 mm
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Which line has the slope with the greatest value?
A blue B purple C red D green
Answer:
A. The blue line has the slope with the greatest value. The blue line is the steepest of the lines.
Suppose you want to buy a car. The dealer offers a financing package consisting of a 4.6% APR compounded monthly for a term of five years. Suppose that you want your monthly payments to be at most $499. What is the maximum amount that you should finance? (Show your work using the formula and Round your answer to the nearest dollar.)
The maximum amount that you should finance is $26701 (rounded to the nearest dollar).
We can use the formula for monthly payments on a loan:
PMT = (PV x r x (1 + r)ⁿ) / ((1 + r)ⁿ - 1)
where PMT is the monthly payment, PV is the principal amount (the amount financed), r is the monthly interest rate, and n is the total number of months.
We can rearrange this formula to solve for PV:
PMT = (PV x r x (1 + r)ⁿ) / ((1 + r)ⁿ - 1)
Substituting the given values:
PMT = $499
r = 4.6% / 12 = 0.0038333 (monthly interest rate)
n = 5 x 12 = 60 (total number of months)
We get:
PV = $499 x ((1 + 0.0038333)⁶⁰- 1) / (0.0038333 x (1 + 0.0038333)⁶⁰)
PV = $26700.902
So the maximum amount that you should finance is $26701 (rounded to the nearest dollar).
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Convert 81km/hr into m/sec
To convert kilometers per hour (km/hr) to meters per second (m/sec), we need to multiply the speed by 0.27778.
So, to convert 81 km/hr to m/sec, we multiply it by 0.27778 as follows:
81 km/hr x 0.27778 = 22.5 m/sec (rounded to one decimal place)
Therefore, 81 km/hr is equal to 22.5 m/sec (approximately).
~~~Harsha~~~
Answer: 22.5 Meters per Second
Step-by-step explanation: 1 km/h = 0.2777777778 m/s 1 m/s = 3.6 km/h
Example: convert 20 km/h to m/s:
20 km/h = 20 × 0.2777777778 m/s = 5.5555555556 m/s
CAN SOMEONE HELP WITH THIS QUESTION?✨
The value of the linear sum ∑(i = 1 to 124) (29a_i - 13b_i) is -30.
We have,
Using the linearity of the sum, we have:
∑(i = 1 to 124) (29a_i - 13b_i)
= 29∑(i = 1 to 124)a_i - 13∑(i = 1 to 124)b_i [Distributive property]
= 29(-10) - 13(-20) [Substitute the given sums]
= -290 + 260
= -30
Therefore,
The value of ∑(i = 1 to 124) (29a_i - 13b_i) is -30.
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pls help me and explain as well because I rlly don’t understand this
Step-by-step explanation:
A linear function is a function where we have a constant rate of change.
The equation of a linear function is
[tex]y = mx + b[/tex]
where m is the slope (change in y/change in x)
and b is the y intercept.
Note: Sometimes our variables will different names, but
Slope is just change in dependent variable/change in independent variable.
A linear function has a constant slope throughout.
In this problem,
t is the independent variable
W is the dependent variable
So our point will. be
(t,W)
where t is number of weeks after planted
and W is weight
So the slope would be
Change in W/Change in t.
We know at 3 weeks, the pumpkin weighed 141
So this point is
(3,141)
We know 7 weeks, later, the pumpkin weighed 372 so
(10,372)
A. The weight the pumpkin gain each week is our slope so
[tex] \frac{372 - 141}{7} [/tex]
[tex] \frac{231}{7} = 33[/tex]
So the pumpkin gained 33 pounds each week.
Part 2: Is in slope intercept form,
and we know the slope,33,
[tex]w = 33t + b[/tex]
We don't know what b is.
Let plug in a coordinate pair, and solve for b.
Let's use (3,141)
[tex]141 = 33(3) + b[/tex]
[tex]141 = 99 + b[/tex]
[tex]42 = b[/tex]
So our equation is
[tex]w = 33t + 42[/tex]
Hope this helps
The weight that the pumpkin gained per week can be found to be 33 pounds.
The equation to show the relationship between pumpkin weight and elapsed time is W = 33 t + 42
How to find the weight gained ?The weight gained by the pumpkin per week can be found by the formula :
= (Weight gained after 7 more weeks - Weight after 3 weeks ) / 7 weeks
= ( 372 - 141 ) / 4
= 33 pounds
This means the original weight of the pumpkin was:
= 141 - ( 33 x 3 weeks )
= 42 pounds
The equation to show the relationship between pumpkin growth and weeks is therefore:
W = Growth per week x Number of weeks + original weight
W = 33 x + 42
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Convert the angle 4.5 4.5 radians to degrees, rounding to the nearest 10th.
4.5 radians when rounded off to the nearest tenth approximates a degree angle of 257.83.
How to convert the angles to radiansTo turn an angle from radians into degrees, is achieved relying on the following established formula:
Angle in Degrees = Angle in Radians * (180 / π)
where
π (pi) is approximately equal to 3.14159.
For conversion of 4.5 radians we have
Angle in Degrees = Angle in Radians * (180 / π)
substituting to the above formula
Angle in Degrees = 4.5 * (180 / π)
use a calculator to get the value of pi:
Angle in Degrees = 4.5 * (180 / π)
Angle in Degrees ≈ 257.821 (rounded two decimal places)
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The diameter of a circle is 9 cm. Find the circumference to the nearest tenth to the nearest tenth
Answer:28
Step-by-step explanation:
•C= 2(3.14 x r)
•C= 2(3.14 x4.5)
•C=2(14.13)
•C=28.26
