Answer:
$16 per pound.
Step-by-step explanation:
If X=2 Y=3 then, xy^2
Answer:
if it is
xy² then 2*3²= 18
if (xY)²=6²=36
Step-by-step explanation:
The value of the given expression for the given value is 18.
Given that, x=2 and y=3.
We need to find the value of xy².
How to find the value of the expression?To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
Now, xy²=2×3²
=18
Therefore, the value of the given expression for the given value is 18.
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k(x)=-2x^2+10x+5, Evaluate k(3)
Answer:
17
Step-by-step explanation:
k(x)=-2x^2+10x+5
k(3)=-2(3)^2+10(3)+5
k(3)=-2(9)+30+5
k(3)=-18+35
= 17
Answer:
71
Step-by-step explanation:
-2(3)^2+ 10(3)+5
So first you multiply the -2 by the 3
(-6)^2+10(3)+5
then you do the exponents
36+10(3)+5
then you multiply the 10 by 3
36+30+5
then you would add 36 and 30
66+5
then add the 5
71
the question: a computer manufacturer built a new facility for assembling computers. there were construction and new equipment cost. the company paid for these cost and made combined profits of $80 million after four years as shown in the graft.
answers:
a: f(x)=60x-160
b:f(x)=-60x+160
c:f(x)=-80x +4
d: f(x)= 80x -4
Answer:
The equation that closely represents the graph is \(\mathbf{y=60x-160}\)
Option A is correct.
Step-by-step explanation:
We need to find equation that represents the graph.
We can write equation in slope-intercept form: \(y=mx+b\) where m is slope and b is y-intercept.
For finding the equation we need to find slope and y-intercept
Finding slope
The slope can be found using formula: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)
From the graph we can find \(x_1=0, y_1=-160, x_2=1, y_2=-100\)
Putting values and finding slope
\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-100-(-160)}{1-0} \\Slope=\frac{-100+160}{1}\\Slope=-100+160\\Slope=60\)
We get Slope = 60
Finding y-intercept
Using point (0,-160) and slope m = 60, we can find y-intercept
\(y=mx+b\\-160=60(0)+b\\b+0=-160\\b=-160\)
Writing the equation
So, the equation for given graph having slope m = 60 and y-intercept b =-160 is:
\(y=mx+b\\y=60(x)+(-160)\\y=60x-160\)
So, The equation that closely represents the graph is \(\mathbf{y=60x-160}\)
Option A is correct.
Here is the histogram of a data distribution.What is the shape of this distribution?A.Unimodal skewed rightB.UniformC.Unimodal skewed leftD.BimodalE.Unimodal symmetric
Answer:
D. Bimodal
Explanation:
The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is
D. Bimodal.
Two variables, x and y, were measured for a random sample of 25 subjects and two separate regression models were fit to the data. Least squares estimation of the parameters in Model A yielded the following equation and residual plot. Least square estimation of the parameters in Model B yielded the following equation and residual plot. Which of the following conclusions is correct?
Model B is appropriate since the relationship between x and log y is linear. Hence, option E is the correct answer to this question.
The conclusion can be made based on the residual plot of Model B, which shows a linear pattern, indicating a good fit between the model and the data.
On the other hand, the residual plot of Model A shows a non-linear pattern, suggesting that the relationship between x and y may not be well-represented by a linear model.
By taking the logarithm of one or both of the variables, it may be possible to linearize the relationship and obtain a better model fit. Here, Model B, which models the relationship between x and log y, appears to be the more appropriate model.
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The complete question is -
Two variables, x, and y, were measured for a random sample of 25 subjects, and two separate regression models were fit to the data. The least squares estimation of the parameters in Model A yielded the following equation and residual plot. The least squares estimation of the parameters in Model B yielded the following equation and residual plot. Which of the following conclusions is correct?
(a) Model A is appropriate since the relationship between x and y is linear.
(b) Model B is appropriate since the relationship between x and y is linear.
(c) Model A is appropriate since the relationship between log x and log y is linear.
(d) Model A is appropriate since the relationship between log x and y is linear.
(e) Model B is appropriate since the relationship between x and log y is linear.
Question 9 of 20
Which of the following is a polynomial?
A. 11x
B. 2x2 - X
C. 3x2 +6x
D. 1-5x2
X
Answer:
3x2+6x is a polynomial. Polynomials are algebraic expressions in which the variables have only non-negative integer powers. For example,: 5x2 - x + 1 is a polynomial.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each graph with the correct cosine function based on its period.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (1.5, 0), (3, minus 1), (5, 0), (6.5, 1), (7.5, 0), It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (3, 0), (6, minus 1), (9.5, 0). It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (0.5, 0), (1, minus 1), (1.5, 1), (2, 0), (2.5, minus 1), (3, 0). It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 at (minus 1, 0) and goes through (0, 1), (1, 0), (3, 1), (4, 0), and (4.5, minus 1) and curve follows the same pattern on X-axis.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (6, 0), and (12, minus 1). It follows the same pattern.
y=cos x/2 arrowRight
y=cos x arrowRight
y=cos x/4 arrowRight
y=cos x/4arrowRight
The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)
Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:
Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.
Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.
Graph 4: (Not used)
Graph 5: (Not used)
Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.
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The surface area of a cell phone screen is 11700 mm2. Use the fact that 10 mm = 1 cm to convert this area to cm2. Round your answer to the nearest whole number.
The surface area of a cell phone screen is 117 cm².
What is unit conversion?
Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.
We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:
11700 mm² / (100 mm² / cm²) = 117 cm²
Rounding to the nearest whole number, we get 117 cm².
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9. Find BD if AABC~AXYZ
A
BD and
and
B
12
A
D
C X
YW
are medians.
We have found that: AB = (BD/2) * (XZ/AY) and we can solve for BD:
BD = 2 * AB * AY / XZ
What is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
Since BD is a median of triangle ABC, it divides side AC into two equal parts. Let's label the midpoint of AC as M. Similarly, YW is a median of triangle XYZ and it divides side XZ into two equal parts, with the midpoint labeled as N.
Since AABC~AXYZ, we know that the corresponding sides are proportional. Thus,
AB/AX = AC/AY = BC/BZ
Since AB = BC (given that B is a vertex of both triangles), we have:
AB/AX = AC/AY
We can rewrite this equation as:
AB/AC = AX/AY ----(1)
Since BD is a median of triangle ABC, we have:
BD = 1/2 AC ----(2)
Similarly, since YW is a median of triangle XYZ, we have:
YW = 1/2 XZ ----(3)
From equation (1), we have:
AB/AC = AX/AY
Multiplying both sides by AC, we get:
AB = AX * (AC/AY)
Now, using equation (2), we can substitute AC/2 for BD:
AB = AX * BD/AY
Finally, using equation (3), we can substitute XZ/2 for YW:
AB = (BD/2) * (XZ/AY)
Therefore, we have found that:
AB = (BD/2) * (XZ/AY)
Hence, we can solve for BD:
BD = 2 * AB * AY / XZ
Note that we need to know the actual values of AB, AY, and XZ to find BD.
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Question 4 (5 points)
2
What's the solution to -9x + 4 < 40?
O A x>-4
15
OB) All real numbers
18
C) No solutions
D) x<-6
Question 5.15 points)
Answer: x>-4
Step-by-step explanation: -9x+4< 40
-9x+4< 40
-4 -4
-9x<36
-9x/-9<36/-9
x=-4
2. The cost of 2 hours of math tutoring is $50.00
What is the constant of proportionality?
How much would if the student was tutored an hour a day for 5 days?
Answer:
Thank you
Step-by-step explanation:
:)
Answer:
25 per hour, 125 for an hour for 5 days
Step-by-step explanation:
Practice polynomials
solve and show your work
3x^2-14x-5
Answer:
( − 5 ) ( 3 + 1 )
Step-by-step explanation:
Use the sum-product pattern: 3 2 − 1 4 − 5
3 2 + − 1 5 − 5
Common factor from the two pairs: 3 2 + − 1 5 − 5
( 3 + 1 ) − 5 ( 3 + 1 )
Rewrite in factored form
Answer:
Step-by-step explanation:
Standard form:
3x2 − 14x − 5 = 0
Factorization:
(x − 5)(3x + 1) = 0
Solutions based on factorization:
x − 5 = 0 ⇒ x1 = 5
3x + 1 = 0 ⇒ x2 = −1
3
≈ −0.333333
Extrema:
Min = (2.333333, −21.333333)
Answer:
(3 x + 1 ) ( x − 5 )
A cake manufacturer determines that the profit from making
x cakes per day is given by the function
P(x) = -x²+36x - 40 dollars.
a Calculate the profit if: i 0 cakes ii 20 cakes
are made per day.
b How many cakes need to be made per day for the profit to
be $270?
Answer:
a)
i) To calculate the profit if 0 cakes are made per day, we can substitute x = 0 into the function:
P(x) = -x²+36x - 40
P(0) = -0² + 36(0) - 40 = -40 dollars
So, the profit from making 0 cakes per day is -40 dollars.
ii) To calculate the profit if 20 cakes are made per day, we can substitute x = 20 into the function:
P(x) = -x²+36x - 40
P(20) = -20² + 36(20) - 40 = 760 dollars
So, the profit from making 20 cakes per day is 760 dollars.
b) To find out how many cakes need to be made per day for the profit to be $270, we need to solve the equation P(x) = 270.
We can substitute the function P(x) into this equation:
-x²+36x - 40 = 270
Next we can solve this equation for x by using any method you prefer ( factoring, Quadratic formula, etc)
x = (36 +/- √(36² -4*(-40)(-1)))/ 2(-1)
x = (36 +/- √(1296 + 320))/ -2
x = (36 +/- √1616)/ -2
x = (36 +/- 40)/ -2
x = -2 +/- 20
x = 18 or -22
The number of cakes need to be made per day for the profit to be $270 is 18 or -22, but -22 is not a valid solution because the number of cakes must be a non-negative value, so the number of cakes need to be 18
Multiply.
257 × 6
Enter your answers in the boxes to correctly complete the equations.
Answer:
257x6=1542 do You need only the multiplicación?
What is 7 1/6 rounded to the nearest whole number
I think it’s 40%, am I correct?
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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Graphing
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Converting fractions into decimals
Thank You!
Answered by: ms115
c) Evaluate: 3√11x√2
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
Which of the numbers below are common
multiples of 2 and 5? Select all that apply.
A) 15
B) 20
C) 30
D) 35
E) 50
Answer:
20, 30, 50, they all go into 2 and they also go into 6, two doesn't divide equally into 5.
Which expressions can be added to find the volume of the solid figure
Select all that apply.
Multi choice, only pick two.
A. 4 x 3 x 7 and 1 x 3 x 4
B. 4 x 6 x 7 and 1 x 3 x 3
C. 1 x 4 x 7 and 4 x 3 x 6
D. 4 x 6 x 1 and 6 x 4 x 3
E. 4 x 6 x 3 and 7 x 3 x 3
Answer:
A
Step-by-step explanation:
formula of volume of a cuboid is lbh and if separated the figure in two parts you can understand that more easily
HELP PLS !% POINTS!!
Answer:
149 sq. ft
Step-by-step explanation:
For the triangle:
Base = 16-9 = 7 ft
Area of Triangle = 1/2 of b.h
= 1/2 of 7 * 6
= 21 sq. ft
Area of Rectangle = l.b
= 5 * 16
= 128 sq. ft
Total Area = 149 sq. ft
The diameter of a bowl is 14 cm. What is the circumference? Give the exact
answer in terms of pi.
2
7п cm
147 cm
287 cm
43.967 cm
Select all the expressions that are greater than 1
The expressions which are found greater than 1 are-
5 ÷ 9/10 4/5 ÷ 3/7 2 3/5 ÷ 1 3/5.What exactly is a expression?It is described as the blending of mathematical operators, constants, and variables.
We must ascertain the value for every expression in order to determine the value of just an expression larger than 1.The divisions arithmetic operation is used to solve the statement. We split one phrase by another in this.The divisor and the quantity having divided by it are referred to simply as the dividend and the number receiving divided by it, respectively. The result of division is the quotient.Expressions' worth can be summed up as,
1) 5 ÷ 9/10 = 5.5555
2)3/5 ÷ 6 = 0.1
3)4/5 ÷ 3/7 = 1.888
4)2 3/5 ÷ 1 3/5 = 1.625
5)12/5 ÷ 13/5 = 0.923
Thus, the expressions which are found greater than 1 are-
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The complete question is-
Select all the expressions that are greater than 1.
Group of answer choices
5 ÷ 9/10
3/5 ÷ 6
4/5 ÷ 3/7
2 3/5 ÷ 1 3/5
12/5 ÷ 13/5
If 20% of the people in a community use the emergency room at a hospital in one year, find
the following probability for a sample of 10 people.
a) At most three used the emergency room
b) Exactly three used the emergency room
c) At least five used the emergency room
Answer:
a) 87.91% probability that at most three used the emergency room
b) 20.13% probability that exactly three used the emergency room.
c) 3.28% probability that at least five used the emergency room
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they use the emergency room, or they do not. The probability of a person using the emergency room is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
Sample of 10 people:
This means that \(n = 10\)
20% of the people in a community use the emergency room at a hospital in one year
This means that \(p = 0.2\)
a) At most three used the emergency room
\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074\)
\(P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684\)
\(P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020\)
\(P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013\)
\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1074 + 0.2684 + 0.3020 + 0.2013 = 0.8791\)
87.91% probability that at most three used the emergency room
b) Exactly three used the emergency room
\(P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013\)
20.13% probability that exactly three used the emergency room.
c) At least five used the emergency room
\(P(X \geq 5) = 1 - P(X < 5)\)
In which
\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\)
From 0 to 3, we already have in a).
\(P(X = 4) = C_{10,4}.(0.2)^{4}.(0.8)^{6} = 0.0881\)
\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.1074 + 0.2684 + 0.3020 + 0.2013 + 0.0881 = 0.9672\)
\(P(X \geq 5) = 1 - P(X < 5) = 1 - 0.9672 = 0.0328\)
3.28% probability that at least five used the emergency room
Solve for x. whats the solutions from least to greatest. 4x^2 + 48x + 128 = 0
Answer:
\(\boxed{\sf \ \ \ x = -8 \ or \ x = -4 \ \ \ }\)
Step-by-step explanation:
Hello,
\(4x^2+48x+128=0\\<=> 4(x^2+12x+32)=0\\<=> x^2+12x+32=0\\<=> (x+6)^2 - 36 + 32= 0\\\\<=> (x+6)^2-4=0\\<=> (x+6+2)(x+6-2)=0\\<=> (x+8)(x+4) = 0\\<=> x = -8 \ or \ x = -4\)
vouch, i confirm that -8, -4 are the answers
ANSWER ASAP! NEED HELP
The graph of y=-2x + 10 is: O A. a line that shows the set of all solutions to the equation. B. a line that shows only one solution to the equation. C. a point that shows one solution to the equation O D. a point that shows the y-intercept.
Answer:
i think it cccccccc
Step-by-step explanation:
Wiyot is earning money for a longboard by selling lemonade at the soccer fields. Being a precocious and poorly-supervised 12 year old, Wiyot has no transportation and decides to use water from a nearby river.
Business is booming! He sells 33 lemonades on the first day, and 6 additional lemonades each day as the summer heats up. How many TOTAL cups of giardia-laced lemonade will Wiyot have sold by the time his parents get a call from county health officials on day 8?
________
The cups of giardia-laced lemonade that Wiyot will have sold by the time his parents get a call from county health officials on day 8 is 75 cups.
How to calculate the value?From the information, Wiyot sells 33 lemonades on the first day, and 6 additional lemonades each day as the summer heats up.
This is an arithmetic sequence and will be expressed as:
= a + (n - 1)d
a = first term = 33
d = common difference = 6
n = 8
This will be:
= a + (n - 1)d
= 33 + (8 - 1)6
= 33 + (7 × 6)
= 33 + 42
= 75
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Together two ferries can transport a day's cargo in 7 hours. The larger ferry can transport cargo three times faster than the smaller ferry. How long does it take the larger ferry to transport a day's cargo working alone?
Answer:
9 hours, 20 minutes
Step-by-step explanation:
When two ferries work together, they transport a day's cargo in 7 hours
The speed proportion or ratio of larger ferry to smaller ferry is given as 3 : 1
The sum of the ratio = 4 (3 + 1)
This means that it will take the smaller ferry = 7 x 4 hours to work alone = 28 hours, since the larger ferry is faster by 3.
Therefore, when larger ferry works alone, it will take it (7 x 4)/3 = 9.33 hours.
9.33 hours = 9 hours, 20 minutes.
What is the solution to x2 – 9x < –18? ASAP will give brainliest
x < –6 or x > 3
–6 < x < 3
x < 3 or x > 6
3 < x < 6
The solution to the inequality equation \(x^{2}\) – 9x < –18 is 3 < X < 6
Inequality equationInequality equation means a mathematical expression in which the sides are not equal to each other
\(x^{2}\) – 9x < –18
Rewrite in standard form
x^2 -9x +18 < 0
Factorise the equation
\(x^{2}\) - 3x -6x +18 < 0
x (x - 3) - 6 (x - 3) < 0
(x - 3) ( x- 6) < 0
(x - 3) < 0
x < 3
( x- 6) < 0
x < 6
3 < X < 6
Therefore, the solution to the inequality is 3 < X < 6
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