Answer:
y=7x-75
Step-by-step explanation:
use poiint slope formula
1. DECIMALS are integers.TrueFalse
Answer:
False
Explanation:
Examples of decimals are:
0.25, 1.256,1.05 etc.
Integers on the other hand are positive whole numbers and their negatives.
Examples are 1,3,-4,etc.
We see therefore that the given decoimals above are not integers.
The statement is false.
Determine the value of c in the diagram. C 50°
Answer: 10
Step-by-step explanation:
The value of C is 10, because if 50° was in half, it would been 10 and 5.
An orange punch is 45% juice and a mango punch is 20% juice. By combining the two, a company is making 500 L of a fruit punch that is 40% juice. How many liters of orange punch are needed for the company’s concoction? Make sure to include units. PLEASE FAST. AND SHOW WORK
Answer:
400 liters of orange punch and 100 liters of mango punch are required to create a mixture with 40% juice.
Step-by-step explanation:
Given that the orange punch has 45% juice and the mango punch has 20% juice, if you want to create a mixture of 500 liters of fruit punch that has 40% juice, to determine the percentage of punch of each fruit to be used, the following calculation must be performed:
45 x 1 + 20 x 0 = 45
45 x 0.9 + 20 x 0.1 = 42.5
45 x 0.8 + 20 x 0.2 = 40
Therefore, it takes 80% orange punch and 20% mango punch to create a mixture with 40% juice. Thus, since 500 x 0.8 equals 400, 400 liters of orange punch and 100 liters of mango punch are required to create a mixture with 40% juice.
Solve for h
Give an exact answer.
3h=7( 2/7− 3/7 h)−10
Simplify.
(y^5)^3
Write your answer without parentheses.
Answer:
\(\boxed{\sf y^{15}}\)
Step-by-step explanation:
Given expression:
\(\sf (\:y^5\:)^3\)When any expression is given in the format \(\sf (\ a^b \ )^c\) then \(\sf a^{bc}\).
\(\sf \rightarrow y^{5(3)}\)simplify
\(\sf \rightarrow y^{15}\)Whenever Deven and Laura owe each other money, they "pay" each other using stickers. They've agreed that a Harry Potter sticker is worth 49 dollars and a Twilight sticker is worth 35 dollars. They can even use stickers as "change" if one person overpays the other. For example, if Deven owes Laura 189 dollars, he can give her 6 Harry Potter stickers ($6 \cdot 49 = 294$ dollars), and she can return 3 Twilight stickers ($3 \cdot 35 = 105$ dollars). This trade is like a transfer of $294-105=189$ dollars. What is the smallest positive debt, in dollars, that can be paid off using sticker trading?
The smallest positive debt that can be paid off using sticker trading is $7$ dollars.
To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.
Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.
The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.
In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.
Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.
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Find the radius of Circle M, if the area of a sector is 36.07 cm^2 and the central angle of that sector is 58º. Round your answers to the hundredths place if necessary
Answer:
r = 5.97 cm
Step-by-step explanation:
The area of the sector is given by the following equation:
\(A = r*S = 2\pi*r^{2}*\frac{58}{360}\)
Where:
r: is the radius
A: is the area
The radius is:
\(r = \sqrt{\frac{A}{2*\pi*58/360}} = \sqrt{\frac{36.07 cm^{2}}{2*\pi*58/360}} = 5.97 cm\)
Therefore, the radius of Circle M is 5.97 cm.
I hope it helps you!
please answer? options for the second box: (there is no solution) (there is one solution) (there is two solution)
Solution
We are given
\(y=4x^2+15x-4\)Here
\(\begin{gathered} a=4 \\ b=15 \\ c=-4 \end{gathered}\)The discriminant D is
\(\begin{gathered} D=b^2-4ac \\ D=15^2-4(4)(-4) \\ D=225+64 \\ D=289 \end{gathered}\)Since, the discriminant is positive, we have two x- intercept
A sequence is defined by the function A(n) =8+ (n -1)(-4).
Which term, n, would result in A(n) = -172?
A) 44
B) 46
C)692
D)700
Answer:
B. 46.
Step-by-step explanation:
First we set up the equation A(n)=-172 and substitute the given equation for A(n), giving us -172=8+(n-1)(-4). Simplifying, we get -180=(-4n+12), or -4n=-192, or n=48. However, n represents the number of terms in the sequence, and since the sequence starts with n=1, we need to subtract 1 from our answer to get the term number corresponding to A(n)=-172. Therefore, the answer is B) 46.
how do I understand implicit function
Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.
Step-by-step explanation: To find the implicit derivative,
Differentiate both sides of f(x, y) = 0 with respect to x.
Apply usual derivative formulas to differentiate the x terms.
Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.
Solve the resultant equation for dy/dx (by isolating dy/dx).
If Heather's tax liability increases from $10,000 to $15,000 when her income increases from $30,000 to $40,000, her marginal tax rate is
Heather's tax liability increases from $15000 when her income $40000, marginal tax rate is 80%.
The marginal tax rate is the rate you pay on a dollar of extra income. This method of taxation, known as progressive taxation, is designed to tax individuals according to their income, with low-income people being taxed at a lower rate than high-income people.
Under marginal tax rates, taxpayers are generally divided into brackets or tax brackets, which determine the tax rate applicable to the taxpayer's taxable income. As income increases, the last dollar earned will be taxed at a higher rate than the first dollar earned.
According to the Question:
Heather's tax liability Increases from $15000
And, income increases from $40000
Marginal tax rate = $15000/$40000 × 100%
= $ 0.4 × 100%
= 40%
Therefore, Her marginal tax rate is 40%.
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These little ghosts are going trick-or-treating. Can you draw a line that touches every house exactly once and ends up back where it started? The line can’t cross itself, can’t go diagonally, and has to touch the houses in this order: large-medium-small-large-medium-small. Along the way you’ll collect SOME of the candies in your bags. Only count the candies in your path! *To make a series of straight lines, go to Insert>Shapes> line.
Answer:
it is the pumkin
Step-by-step explanation:
I got 100 in quiz
Solve the inequation x - 12 ≤ 3 - 2x and graph its solution.
Let's do these one-by-one.
The solution to x - 12 ≤ 3 - 2x is:
Answer:
Step-by-step explanation:
x - 12 ≤ 3 - 2x
3x ≤ 15
x ≤ 5
To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT
Find the missing coordinate
Answer:
(0, -10a)
Step-by-step explanation:
From the picture attached,
Coordinates of a point have been given as (-10a, 0)
x-coordinate → distance of the point from the origin on x-axis
y-coordinate → distance of the point from the origin on y-axis
Therefore, distance of the given point on x-axis = -10a [(-) sign denotes the negative side of the x-axis]
Distance of the other point with unknown coordinates (x, y) (on y-axis) from the origin = y
And y = 10a
Therefore, coordinates of the unknown point will be (0, -10a).
[Here (-) sign denotes the negative side of the y-axis]
Carlos has two summer jobs. During the week he works in the grocery store, and on
the weekend he works at a nursery. He gets paid $16 per hour to work at the grocery
store and $17 per hour to work at the nursery. How much does he earn if he works 15
hours at the grocery store and 16 hours at the nursery? How much does he earn if he
works g hours at the grocery store and n hours at the nursery?
Answer:
$512
16g+17n= m
Step-by-step explanation:
Multiply 16 and 15 to represent the amount of money from working in the grocery store and 17 and 16 to represent the money from the nusery home. Add them to get 512.
If y = 5x + 1 is changed to y = 2x +
1, how would the graph of the new function compare with the first one?
Answer Choices:
It would be steeper.
It would be shifted down.
It would be less steep.
It would be shifted left.
The graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.
Thus, the correct option is: It would be less steep.
What is graph?In mathematics, a graph is a visual representation of a set of objects where some pairs of the objects are connected by links. The objects, which are usually represented by points, are called vertices or nodes, and the links, which are usually represented by lines or arcs, are called edges.
The original function y = 5x + 1 has a slope of 5, which means that for every 1 unit increase in x, y increases by 5 units.
The new function y = 2x + 1 has a slope of 2, which is less steep than the slope of the original function.
However, the y-intercept of both functions is the same, which is 1.Therefore, the graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.
Thus, the correct option is: It would be less steep.
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WILL GIVE BRAINLIEST WHO EVER ANSWERS CORRECTLY, PLS HELP.
Answer:
Below
Step-by-step explanation:
From the image below you can see that
90 F + 60 L = 160 miles
and given F + L = 2 hours re arrange to F = 2 - L
and substitute this "F" into the first equation
90 (2-L ) + 60 L = 160 Solve for L
180 - 90 L + 60 L = 160
180 - 30 L = 160
- 30 L = -20
L = 2/3 hr then F = 1 1/3 hr ( because they add to '2' )
The gross income, in dollars, that a company makes from
selling x items can be modeled by the expression 3x2 + 2x
+ 4. It costs the company x2 - 3x + 2 dollars to make x
items. Which expression represents the company's profit if
it makes and sells x items?
Answer:
x sells x
Step-by-step explanation:
$$$$$$$
the candle was 1 inches long when new.Each half hour 3/4 inch of the candle burned away.After 4 hours,how long was the candle
Your friend Jenny wants to use a robo-adviser to manage her portfolio. What does this mean?
( 70 POINTS!! ) In a survey of 2837 adults, 1436 say they have started paying bills online in the last year.
Construct a 99% confidence interval for the population proportion. Interpret the results.
Question
Part 1
A 99% confidence interval for the population proportion is =( ? , ? )
.
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
B. The endpoints of the given confidence interval show that adults pay bills online 99% of the time.
C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
Part 1:
To construct a 99% confidence interval for the population proportion, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
where the margin of error is determined by the level of confidence and the standard error.
First, let's calculate the sample proportion:
Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)
Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)
Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:
Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)
Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)
Now, we can calculate the margin of error:
Margin of Error = Critical Value * Standard Error
The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).
Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)
Finally, we can construct the confidence interval:
Confidence Interval = Sample Proportion ± Margin of Error
Confidence Interval = 0.5066 ± 0.0350
Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)
Part 2:
The correct interpretation is:
C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.
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Y=×
Shift left 2 units
The equation of the shifted line is y = x + 2
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
y = x
Shift left 2 units
To shift the equation y = x to the left by 2 units, we can replace x with (x + 2) in the equation.
i.e. (x. y) = (x + 2, y)
So, we have the new equation to be y = x + 2
This is the same line as the original equation but shifted 2 units to the left.
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Find the surface area
of the figure below:
19 cm
30 cm.
The surface area of the figure is approximately 997.5π cm².
We have,
The figure has two shapes:
Cone and a semicircle
Now,
The surface area of a cone:
= πr (r + l)
where r is the radius of the base and l is the slant height.
Given that
r = 15 cm and l = 19 cm, we can substitute these values into the formula:
= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)
The surface area of a semicircle:
= (πr²) / 2
Given that r = 15 cm, we can substitute this value into the formula:
= (π(15)²) / 2
= 112.5π cm² (rounded to one decimal place)
The surface area of the figure:
To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:
Now,
Total surface area
= 885π + 112.5π
= 997.5π cm² (rounded to one decimal place)
Therefore,
The surface area of the figure is approximately 997.5π cm².
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Find the value of each unknown variable in the given figures ?
10) a. 130
Step-by-step explanation:
\(180 - 50 = 130\)
Solve the equation.
-3x + 1 + 10x = x + 4
O x =
О O
이에
x = 12
O x= 18
Answer:
your answer is 1/2
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which of the following are solutions to the quadratic equation check all that apply x ^ 2 + 10x + 25 = 2
Answer:
to solve the equation you first need to bring it to factors and by doing that you first need to let the equation equal 0 hence you need to minus 2 on both sides of the equation therefore
x^2 + 10x + 25 - 2 =2 - 2
therefore
x^2 + 10x +23 = 0
now since the equation cannot be factored, we use the formula.
x= \(\frac{-b +- \sqrt{b^{2}-4ac } }{2a}\)
where
a=1
b=10
c=23
note we use the coefficients only.
therefore x = \(\frac{-10 -+ \sqrt{10^{2}-4(1)(23) } }{2(1)}\)
=\(\frac{-10-+\sqrt{100-92} }{2}\)
=\(\frac{-10-+\sqrt{8} }{2}\)
then we form two equations according to negative and positive symbols
x=\(\frac{-10+\sqrt{8} }{2} or x =\frac{-10-\sqrt{8} }{2}\)
therefore x = \(-5+\sqrt{2}\) or x=\(-5-\sqrt{2}\)
A type of glass has a critical angle of 40 degrees for total internal reflection. What is its refractive index?
The refractive index of the glass is approximately 1.547. This value is obtained using the critical angle of 40 degrees for total internal reflection and the equation sin θc = n2/n1, where n1 is the refractive index of the medium in which the incident ray is traveling.
The critical angle θc for total internal reflection is related to the refractive indices of the two media involved by the equation:
sin θc = n2/n1
where n1 is the refractive index of the medium in which the incident ray is traveling and n2 is the refractive index of the medium in which the refracted ray would travel if it were not totally reflected.
In this case, the incident ray is traveling through the glass and the refracted ray would travel through air (which has a refractive index of approximately 1). Therefore, we have:
sin 40° = 1/n1
Solving for n1, we get:
n1 = 1/sin 40°
Using a calculator, we find:
n1 ≈ 1.547
Therefore, the refractive index of the glass is approximately 1.547.
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An item is regularly priced at $80. It is on sale for 60% off the regular price. How much (in dollars) is discounted from the regular price?
Answer:
$80 - 60% = 32
Step-by-step explanation:
Drag the numbers to complete the column two-way relative frequency table. Numbers may be used once, more than once, or not at all.
2829383949100
7th 8th Total
0–300 61%
% 50%
300+
% 62% 50%
Total
%
% 100%
Answer:
YOU L HAHA
Step-by-step explanation:
LOS ER
A classmate states that if the radius of a circle is doubled, then its area is doubled. Do you agree or disagree? If you disagree how much larger do you think the area will be?