Answer:
7.632
Step-by-step explanation:
At Priscilla's school, the final grade for her Calculus course is weighted as follows: Tests: 50% Quizzes: 30% Homework: 20% Priscilla has an average of 87% on her tests, 100% on her quizzes, and 20% on her homework. What is Priscilla's weighted average?
At Priscilla's school, the final grade for her Calculus course is weighted as follows: Tests: 50% Quizzes: 30% Homework: 20% Priscilla has an average of 87% on her tests, 100% on her quizzes, and 20% on her homework. What is Priscilla's weighted average?
Work:Weighted Average gives weights to each percent of the average as follows:
Weighted Average = Average * weighting percent
Weighted Average = Test Average * Test Weighting + Quiz Average. * Quiz Weighting + Homework Average * Homework Weighting
Weighted Average = 87% * 50% + 100% * 30% + 20% * 20%
Weighted Average = 43.5% + 30% + 4%
Weighted Average = 77.5%
Answer:
77.5%
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Thank You!
Answered by: ms115
What’s 86^19
Or 86 to the nineteenth power
Step-by-step explanation:
Hey there!
=86^19
This is also;
=86×86×86×86×86×86×86×86×86×86×86×86×86×86×86×86×86×86×86.
When you multiply these all you will get;
=\(5.694696374 \times {10}^{36} \)
This is your final answer.
Hope it helps..
Hello!! I need help calculating the coordinates where these lines overlap. I have the answers, but I don't understand how to get there. I'm hoping you can show me your work! :)
Here's the first two:
\(-\left[\frac{2\left(x-400\right)^{2}}{800}-\frac{3\left(y-340\right)^{2}}{900}\right]=1\)
\(\frac{.08\left(x-380\right)^{2}}{10^{2}}-\frac{22\left(y-300\right)^{2}}{500^{2}}=1\)
the coordinate answers for this one should be (415.85, 317.9)
The second two are:
\(y=.3\left(x-230\right)^{2}+30\)
\(\frac{11\left(x-220\right)^{2}}{60^{2}}+\frac{11\left(y-40\right)^{2}}{30^{2}}=1\)
which should have a coordinate answer of (222.044, 48.987)
Thanks so much for your hard work!!!
Answer:
A common fraction is a fraction whose denominator is the same with another fraction.
$$$\sqrt{x} \div\sqrt{y}$$ as a common fraction is \sqrt \frac{x}{y}}
The expression is given as:
$$$\sqrt{x} \div\sqrt{y}$$
Express as fraction
$$$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}$$
Rewrite as a common fraction
$$$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}$$
Hence, $$$\sqrt{x} \div\sqrt{y}$$ as a common fraction is \sqrt \frac{x}{y}}
Answer:
Ask your teacher. sorry, this is so hard
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.
Step-by-step explanation:
Slope 1/2 point 5,1
in point slope form would be
(y-1) = 1/2 (x-5)
Represent the following sentence as an algebraic expression, where "a number" is the letter x. The difference of 4 and a number
The algebraic expression "difference of 4 and a number" where the number is letter x is represented as 4 - x.
What is an algebraic expressionAlgebra is an elementary branch of mathematics that deals with the numbers and the basic mathematics operations of addition, subtraction, division and multiplication. Algebraic expression involves arithmetic where the use of unknown quantities along with numbers.
From the question, we have the mathematical statement "difference of 4 and a number" and the number is "a number" is represented with the letter x.
the word difference in mathematics implies Subtraction (-)
Therefore, the mathematical statement "difference of 4 and a number" is represented as 4 - x.
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A coin-operated machine sells plastic rings. It contains 5 white rings, 6 orange rings, 7 purple rings, and 15 pink rings. Constance puts a coin into the machine. Find the theoretical probability she gets a orange ring. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
The theoretical probability of Constance getting an orange ring from the coin-operated machine is 0.182. This means that out of all the possible outcomes, there is an 18.2% chance that Constance will get an orange ring.
To find the theoretical probability of Constance getting an orange ring from the coin-operated machine, we need to first understand what theoretical probability means. Theoretical probability is the likelihood or chance of an event happening based on the number of possible outcomes. In this case, the possible outcomes are the different colored rings that the machine contains.
We are given that the machine contains 5 white rings, 6 orange rings, 7 purple rings, and 15 pink rings.
Therefore, the total number of rings in the machine is 5 + 6 + 7 + 15 = 33.
The probability of Constance getting an orange ring can be calculated by dividing the number of orange rings by the total number of rings in the machine.
Therefore, the theoretical probability of Constance getting an orange ring is:
6 / 33 = 0.181818...
To express this as a decimal, we can round it to the nearest thousandth, which is 0.182.
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The function g is related to one of the parent functions
g(x) = −(x − 2)^3
a.) Identify the parent function f.
b.) Use function notation to write g in terms of f.
a. f(x) = x³
b. g(x) = -f(x-2)
Answer:
a) parent: f(x) = x³
b) g(x) = -f(x -2)
Step-by-step explanation:
You want the parent function and the given function written in terms of the parent function for g(x) = -(x -2)³.
a) Parent functionThe parent function is the function that remains after scale factors and translations are removed. In general, a transformed function will look like ...
g(x) = c·f((x-a)/b) +d
which scales the function f(x) horizontally by a factor of b, vertically by a factor of c, and translates the result by (a, d).
Here, we recognize that ...
g(x) = -(x -2)³
has c = -1, a = 2, b = 1, d = 0
and the parent function is ...
f(x) = x³
b) g in terms of fUsing the values for a, b, c, d that we recognized above, we have ...
g(x) = -f(x -2)
__
Additional comment
When scale factors are negative, they reflect the function over the relevant axis. Here, the negative vertical scale factor reflects the function vertically over the x-axis. The translation is 2 units to the right.
A boy weighs 36 kilograms. How much does he weigh in pounds? 1kilogram is 2.2 pounds
Answer:
About 16 lbs
Step-by-step explanation:
36/2.2=16.36 repeating (both the 3&6)
he weighs 79.2 pounds
you multiply 36 and 2.2 for the answer
scribe two different methods to find the elapsed time from 2:30 p.m. to 2:58 p.m.
Answer:
Subtract 58-30 and add a 2:28. And Subtract 2:58-2:30
Step-by-step explanation:
What is the degree of this polynomial?
4m^8-9m^6+3m^9-6m^7
Answer:
this is a ninth degree polynomial in m
Step-by-step explanation:
Inspect the polynomial for the highest power of the variable m. It is m^9. Thus, this is a ninth degree polynomial in m.
6 * 10x^{-3}/8*10x^{-6}
The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4 × 10³
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
6 × 10⁻³ / 8 × 10⁻⁶
Simplifying the expression
6 × 10⁻³ / 8 × 10⁻⁶
This can be written as
6/8 × 10⁻³/10⁻⁶
Reduce the fraction
3/4 × 10⁻³/10⁻⁶
Apply the division law of indices
3/4 × 10⁻³ ⁻ ⁽⁻⁶⁾
3/4 × 10⁻³ ⁺ ⁶
3/4 × 10³
Hence, the value is 3/4 × 10³
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i need the whole problem done and i don’t understand, i need a step by step to show my work. its at 12. PLS HELP
The surface area of given triangular prism = 24 ft².
For the given triangular prism
Base = 2 ft
height = 3 ft
side = 3ft
We know that,
Surface area of triangular prism
= side x base + 3x base x height
= 3 x 2 + 3x2x3
= 6 + 18
= 24 ft²
Thus,
Surface area = 24 ft²
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Ok im sorry for the ppl who keep answering my questions. I'm trying to get an A in math thank you for helping me!!! also im running low on points!! :')
Answer:
\(56.52 {in}^{3} \)Step-by-step explanation:
Given,
Diameter of the bowl = 6 in
Radius of the bowl = 6 ÷ 2 = 3 in.
Height of the bowl = 2 in.
Therefore,
Volume of the bowl to hold water ,
\( = \pi {r}^{2} h\)
\( = 3.14 \times 3in \times 3in \times 2in\)
\( = 56.52 {in}^{3} (ans)\)
The radioactive substance cesium-137 has a half-life of 30 years. The amount A (r) (in grams) of a sample of cesium-137 remaining after t years is
given by the following exponential function.
A (t)-266 6 (1) 10
Find the initial amount in the sample and the amount remaining after 50 years.
Round your answers to the nearest gram as necessary.
Initial amount:
Amount after 50 years:
The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.
The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:
A(t) = A₀ * (1/2)^(t/30)
We are asked to find the initial amount A₀ and the amount remaining after 50 years.
1. Initial amount:
The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:
A(0) = A₀ * (1/2)^(0/30)
A(0) = A₀ * 1
Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.
Therefore, the initial amount of the sample is A₀.
2. Amount after 50 years:
To find the amount remaining after 50 years, we substitute t = 50 into the equation:
A(50) = A₀ * (1/2)^(50/30)
Now we can calculate the amount using the given formula:
A(50) = A₀ * (1/2)^(5/3)
To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:
A(50) = A₀ * 0.455
A(50) ≈ A₀ * 0.455
Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.
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Write 425% as a fraction or mixed number in simplest form.
Answer:
17/40
here! hope this helps!
The effect of ______ variables on an observed association is a common cause of Simpson's paradoxlurking
The effect of confounding variables on an observed association is a common cause of Simpson's paradox lurking
What are Confounding variables?Confounding variables are variables that are related to both the independent and dependent variables, and they can distort or mask the true relationship between the variables of interest.
Simpson's paradox occurs when the direction or magnitude of an association between two variables is reversed or disappears when a third variable (a confounding variable) is taken into account.
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When a company sales x units of a product, its profits P can be determined
using the profit function
P(x) =
-2x² + 40x + 280
a) How many units must be sold to maximize profit?
b) What is the maximum profit?
(a) There are 10 units must be sold to maximize profit.
(b) The maximum profit is 480.
what is profit?
A profit is an income that is given to the owner in an efficient market production process in accounting. The owner's primary interest in the income-formation process of market production is profit, which is a measure of profitability. Different profit metrics are frequently employed.
Given:
A company sales x units of a product, its profits P can be determined
using the profit function P(x) = -2x² + 40x + 280 ..(1)
We have to find the maximum profit.
Differentiate equation (1) w.r.t x
P'(x) = -4x +40 ..(2)
-4x + 40 = 0
4x = 40
x = 10
Again differentiate equation (2) w.r.t x
P''(x) = -4 which is negative.
Hence, there are 10 units must be sold to maximize profit.
Now, to find the maximum profit.
Plug x = 10 in equation (1)
P(10) = -2(10)^2 + 40(10) + 280
= -200 + 400 + 280
P(10) = 480
Hence, the maximum profit is 480.
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Factor the following expressions completely. Show and check all work on your own paper.
5x2-50x+125
Jon rides his bike 5 miles in 40 minutes Paul rides his bike 8 miles in 40 minutes if they continue at this rate how far will each person ride in one hour
Answer: Jon will ride 7.5 miles in one hour or 60 minutes.
Paul will ride 12 miles in one hour or 60 minutes.
Step-by-step explanation:
5 divided by 40 is 0.125 or 1/8, so jon rides an 1/8 of a mile every minute.
0.125 times 60 equals 7.5.
8 divided by 40 equals 0.2 or 1/5, so paul rides 1/5 of a mile every minute.
0.2 times 60 equals 12 miles.
Considering if they dont quit pedaling after 5 mins like me lol
URGENT! Please help what is the median thank you math experts
Answer: The middle number in a data set when the data are put in order.
Answer and Step-by-step explanation:
To find the median of a set of numbers, you need to find what the number in the center is in a listed group of numbers. I'll use the example of these numbers:
6, 9, 5, 4, 3, 4, 2.5, 8, 0, 1, 5.
First, we need to organize the numbers in numerical order to find the median.
0, 1, 2.5, 3, 4, 4, 5, 5, 6, 8, 9.
It would be the most simple and helpful to cross out each number until we get our center number; the median. (I can't cross the numbers out, so I'll underline them instead.) When crossing out, both sides need to be full of equally crossed out numbers.
0, 1, 2.5, 3, 4, 4, 5, 5, 6, 8, 9.
The number in the center for this example problem is 4. Thus meaning that our median is 4.
Sometimes though, it is not always a whole number. Sometimes you'll have to find the median in between two numbers. For example, let's just say you got stuck between 4 and 5. Then the median for that set of data would be 4.5, because it is still in the middle of the two.
I hope that this helps, let me know if you have any more questions about this topic.
What is the value of f(−1) when f(x)=2x+2
Answer:
\(f( - 1) = 0\)Step-by-step explanation:
\(f(x)=2x+2\)
To find f(−1) , substitute the values of x that's - 1 into f(x). That is for every x in f(x) replace it with - 1
That's
\(f( - 1) = 2( - 1) + 2 \\ = - 2 + 2\)
We have the final answer as
\(f( - 1) = 0\)
Hope this helps you
help PLSS brainliest I’ll give
The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on
The standard equation of a quadratic function is:
y = ax² + bx + c
1) Given that:
x² + 4x + 3 = 0
subtract 3 from both sides:
x² + 4x = -3
add to both sides the square of half the coefficient of x:
x² + 4x + 4 = -3 + 4
(x + 2)² = 1
2) Given that:
x² - 6x + 13 = 0
subtract 13 from both sides:
x² - 6x = -13
add to both sides the square of half the coefficient of x:
x² - 6x + 9 = -13 + 9
(x - 3)² = -4
The equations are (x + 2)² = 1 and (x - 3)² = -4
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4. The scale drawing of a baby blanket has the dimensions of 6 inches by 10 inches. The dimensions of the actual baby blanket are 30 inches by 50
inches.
What is the scale of the drawing?
The scale factor of the given drawing is expressed as: 1:5
How to find the scale factor?We are given the dimensions of the scale drawing of the blanket as:
Length = 10 inches
Width = 6 inches
We are given that the actual dimensions of the baby blanket are:
Length = 50 inches
Width = 30 inches
The size by which a shape is enlarged or reduced is called as its scale factor. It is used when we need to increase the size of a 2D shape, such as circle, triangle, square, rectangle, etc. If y = Kx is an equation, then K is the scale factor for x.
The scale factor is:
50/10 = 30/6 = 5
Thus, we have 1:5
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Please explain your answer to the question in the picture with steps, thank you.
Answer:
(a) y = x/8
(b) y = 7/8
Step-by-step explanation:
You want a direct variation equation that relates x and y, given y = 2 when x = 16.
(a) Direct variationThe equation for direct variation is usually written in the form ...
y = kx
where k is the constant of proportionality.
The value of k can be found from ...
k = y/x . . . . divide by x
For the given values, k is ...
k = 2/16 = 1/8
The direct variation equation is ...
y = (1/8)x
(b) Find yThe value of y for x=7 is found by substituting 7 for x in the equation above:
y = (1/8)·7
y = 7/8
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m is proportional to the cube of r. when r=3m,m=216.when r=5 find the value of m
Answer:
The value of m is 1000 for r=5
Step-by-step explanation:
Given that m is proportional to the cube of r
It can be written as:
\(m \propto\ r^3\)
When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant
\(m = kr^3\)
Given
r=3,m=216
Putting the values
\(216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8\)
The equation will now become
\(m = 8r^3\)
Putting r = 5
\(m = 8(5)^3\\m = 8 * 125\\m = 1000\)
Hence,
The value of m is 1000 for r=5
Write a sine function with an amplitude of 5, a period of
Pi/8,and a midline at y = 7.
f(x) = 4sin(8x) + 5
f(x) = 5sin(16)+7
f(x) = 5sin(16x) + 4
f(x) = 4sin(8x) + 7
Answer:
\(\textsf{B)} \quad f(x) = 5 \sin (16x) + 7}\)
Step-by-step explanation:
The sine function is periodic, meaning it repeats forever.
Standard form of a sine function\(\boxed{f(x) = A \sin (B(x + C)) + D}\)
where:
A is the amplitude (height from the midline to the peak).2π/B is the period (horizontal distance between consecutive peaks).C is the phase shift (horizontal shift - positive is to the left).D is the vertical shift (y = D is the midline).Given values:
Amplitude, A = 5Period, 2π/B = π/8Phase shift, C = 0Vertical shift, D = 7Calculate the value of B:
\(\dfrac{2\pi}{B}=\dfrac{\pi}{8}\implies 16\pi=B\pi\implies B=16\)
Substitute the values of A, B C and D into the standard formula:
\(f(x) = 5 \sin (16(x + 0)) + 7\)
\(f(x) = 5 \sin (16x) + 7\)
Therefore, the sine function with an amplitude of 5, a period of π/8, and a midline at y = 7 is:
\(\Large\boxed{\boxed{f(x) = 5 \sin (16x) + 7}}\)
from 2001 to 2012 the sales for a local doughnut store increased by about the same percent each year. The sales, S, for year t can be modeled by, S=372,300(6/5)^t. Where t=0 corresponds to 2001. What were the sales in 2001
Using the given exponential function, it is found that the number of sales in 2001 was of 327,300.
What is the exponential function in this question?It models the number of sales S in t years after 2001, given by:
\(S(t) = 372300\left(\frac{6}{5}\right)^t\)
2001 is year 0, hence the amount is given by S(0), that is:
\(S(0) = 372300\left(\frac{6}{5}\right)^0 = 372300\)
The number of sales in 2001 was of 327,300.
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the vertices of a triangle are A(-1,-2), B(-2,2), and C(-3,0) draw the figure and its image after translation 5 units right and 1 unit up
Answer:
∆A=(4,-1) ∆B=(3,3) ∆C=(2,1)
Wrote 7/19 as a percent round to the nearest tenth of a percent
Answer:
36.8
Step-by-step explanation:
Hope this should do the trick if you can find this answer; 36.8.
URGENT! Can someone please help?
a. The missing values of the logarithm expression is log₃(40).
b. The missing values of the logarithm expression is log₅(8).
c. The missing values of the logarithm expression is log₂(1/25).
What is the missing of the logarithm expression?The missing values of the logarithm expression is calculated as follows;
(a). log₃5 + log₃8, the expression is simplified as follows;
log₃5 + log₃8 = log₃(5 x 8) = log₃(40)
(b). The log expression is simplified as;
log₅3 - log₅X = log₅3/8
log₅X = log₅8
X = 8
(c). The log expression is simplified as;
-2log₂5 = log₂Y
log₂5⁻² = log₂Y
5⁻² = Y
1/25 = Y
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