The given polynomials, we use the distributive property. Multiplying each term of the first polynomial by each term of the second, we get OA. 18x³ + 30x² + 42x + 20.
To multiply the given polynomials (3x² + 3x + 5) and (6x + 4), we can use the distributive property and multiply each term of the first polynomial by each term of the second polynomial.
(3x² + 3x + 5)(6x + 4)
Expanding the expression:
= 3x²(6x + 4) + 3x(6x + 4) + 5(6x + 4)
Using the distributive property:
= 18x³ + 12x² + 18x² + 12x + 30x + 20
Combining like terms:
= 18x³ + (12x² + 18x²) + (12x + 30x) + 20
= 18x³ + 30x² + 42x + 20
Consequently, the appropriate response is
OA. 18x³ + 30x² + 42x + 20
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Evaluate: (-2)5
0-10
O 10
O-32
32
Answer:
By multiplying -2 by 5 you get:
Step-by-step explanation:
- 10
A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?
Answer:
30 times
Step-by-step explanation
Answer:
30
Step-by-step explanation:
HELLLPPP Quick
What is the mean of this data set?
12, 17, 16, 10, 20
35
25
15
Answer:
15
Step-by-step explanation:
The numbers in the given data = 12, 17, 16, 10, 20
Total number = 5
12 + 17 + 16 + 10 + 20 = 75
Mean = 75/5
Mean 15
heyy! i’ll give brainliest please help
Answer:
a season your welcome: ]
Answer:
Seasons shouldn't be capitalized
College Algebra Applied Problem Four A medical professional is helping an individual balance their diet. The individual has asked for some certain foods to remain in their diet. They will always get 600 calories from carbohydrates. The individual says that they can be flexible about how many calories they consume in fats and proteins. The goal of the diet is to keep the individual at 1,800 calories per day ( 600 of which come from carbohydrates). Part One Write an equation that models the amount of calories from fats " f ' and protein "p" that the individual can consume in order to reach 1,800 calories. Part Two The diet being prescribed to the individual calls for calories from protein to be three times the calories from fat. Write an equation based on this information that relates calories from protein "p" to calories from fat " f ". Part Three Use your equations from parts "b" and "c" to solve this system of equations and determine the amount of calories that the individual should consume from fats and proteins. Part Four If the individual no longer required 600 calories from carbohydrates, and instead said that they would be flexible about how many carbohydrates they would consume, how many variables would there be for this problem on calories?
The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.
To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.
Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.
To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.
Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.
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Jordan wrote the equation for a linear relationship as y = -8x - 4. For what value of x is y equal to -20? *
Answer:
2
Step-by-step explanation:
y=-20
-20=-8x-4
-16=-8x
x=2
Answer:
x = 2
Step-by-step explanation:
Given
y = - 8x - 4 ← let y = - 20 in the equation
- 20 = - 8x - 4 ( add 4 to both sides )
- 16 = - 8x ( divide both sides by - 8 )
2 = x
help me solve this please!!
Answer: a1=1/2;an=-4an-1
Step-by-step explanation: The last one
x ÷ 2/3= 7 1/9 what is the x?
The requried simplified value of x in the given expression is given as x = 128/27.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
x ÷ 2/3= 7 1/9
Simplifying the above expression,
x = (7×9 +1 / 9) × 2/3
x = 64/9 × 2/3
x = 128/27
Thus, the requried simplified value of x in the given expression is given as x = 128/27.
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Which assumptions are necessary for OLS estimates to be BLUE?
A. Var[u|X]=0
B. E[u|X]=0
C. The errors are normally distributed
D. Conditional mean assumption
E. Random sampling from the population
F. 0
G. Var[u|X]=sigma-squared
H. (X,Y) i.i.d.
I. No large outliers
The assumptions necessary for OLS (Ordinary Least Squares) estimates to be BLUE (Best Linear Unbiased Estimators) include A. Var[u|X]=0, B. E[u|X]=0, C. The errors are normally distributed. D. Conditional mean assumption, E. Random sampling from the population, G. Var[u|X]=sigma-squared, and H. (X,Y) i.i.d. No large outliers are also desirable but not strictly necessary.
The acronym BLUE stands for Best Linear Unbiased Estimators, and it represents the desirable properties of the OLS estimates. To achieve BLUE, several assumptions need to be met.
Firstly, A. Var[u|X]=0 assumes that the error term u has no conditional heteroscedasticity, meaning that the variance of u is constant for all values of X. Secondly,
B. E[u|X]=0 assumes that the error term u has zero conditional mean, implying that there is no systematic bias or omitted variables.
Additionally, C. The errors are normally distributed assumption assumes that the errors follow a normal distribution.
D. The conditional mean assumption assumes that the expected value of Y given X is a linear function of X.
E. Random sampling from the population assumes that the sample is a random representation of the population.
G. Var[u|X]=sigma-squared assumes that the conditional variance of u given X is constant and equal to sigma-squared.
H. (X,Y) i.i.d. assumption assumes that the observations of X and Y are independently and identically distributed. Finally, although not strictly necessary, no large outliers as they can potentially affect the estimation results.
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For Miles to win, the spinner must land on the number 6. After spinning the spinner 10 times, and
losing all 10 times, Miles complained that the spinner is unfair! At home, his dad ran 100 simulations of
spinning the spinner 10 times, assuming the probability of winning each spin is. The output of the
simulation is shown in the diagram below.
30-
Silh
10
Frequency
Mean-0.157
SO-0.100
0
0.10 0.20 0.30 0.40 0.50
Proportion of 6's
0.157 ± 2 (0.109)
(-0.061, 0.375)
10.167
Which explanation is appropriate for Miles and his dad to make?
(1) The spinner was likely unfair, since the number 6 failed to occur in about 20% of the simulations
(2) The spinner was likely unfair, since the spinner should have landed on the number 6 by the sixth
spin.
(3) The spinner was likely fair, since the number 6 failed to occur in about 20% of the simulations.
(4) The spinner was likely fair, since in the output the player wins once or twice in the majority of
the simulations.
The correct explanation is (4). The spinner is likely fair, since in the output the player wins once or twice in the majority of the simulations.
How to explain the informationThe spinner is considered fair if the probability of winning each spin is 0.1, which means that the player should win about 1 out of every 10 spins. The output of the simulation shows that in the majority of the simulations, the player won once or twice, which is consistent with the expected probability of winning.
The fact that Miles lost all 10 times when he spun the spinner is just a matter of chance. It is possible to lose 10 times in a row even if the spinner is fair. In fact, the probability of losing 10 times in a row is about 0.1%, which is not very likely, but it is still possible.
Therefore, there is no evidence to suggest that the spinner is unfair. It is more likely that Miles simply lost due to chance.
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if 20% of a number is 386, what will be 30% of the same number
if the 20% of a number is 386, what will be 30% of the same number
Answer will be 157
If 20% of a number is 386, 30% of the same number is 579
How to determne the number?Let the number be x.
So,we have:
20% * x = 386
Express 20% as 0.20
0.20 * x = 386
Divide both sides by 0.20
x = 1930
30% of the number is represented as:
30% * 1930
Evaluate the product
30% * 1930 = 579
Hence, 30% of the same number is 579
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(x+4) ² remove bracket and simplify
Answer:
To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.
So,
(x + 4)² = x² + 2(x)(4) + 4²
= x² + 8x + 16
Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.
Step-by-step explanation:
Answer:
x²n+ 8x + 16
Step-by-step explanation:
(x + 4)²
= (x + 4)(x + 4)
each term in the second factor is multiplied by each term in the first factor, that is
x(x + 4) + 4(x + 4) ← distribute parenthesis
= x² + 4x + 4x + 16 ← collect like terms
= x² + 8x + 16
If the equation of a line is: Y= 200 -3X This line is
downward sloping
upward sloping
vertical
horizontal
Step-by-step explanation:
y = 200 - 3 *x has slope = -3 this is downward sloping from L to R
Answer:downward sloping
Step-by-step explanation:
negative slope
round 5,4268 to the nearest thousandth
the answer will be 5,427 because we need to round the six and since 8 is greater that 5, we aproximate 6 to 7
Identify the terms, variables, coefficients and constant..
Expression: 7+5c-2k-15
Terms:
Variables:
Coefficients:
Constants:
Answer:
Terms: 7, 5c, 2k, 15
Variables: C, K
Co efficients: 5, 2
Constants: 7, 15
A number cube was rolled 20 times to represent 20 purchases. What is the experimental probability of receiving a 20% coupon
The answer is 0.3 or 0.30
PLEASE MARK ME AS BRAINLIEST
what is the slope of the line that passes through the pair of points (3,8) and (8,5)
Answer:
The slope is -3/5=-0.6
Step-by-step explanation:
Slope: (5-8)/(8-3)= -3/5=-0.6
Answer:
\(m=-\frac{3}{5}\)
Step-by-step explanation:
Step 1: Slope
Slope = m\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)Step 2: Set up equation and solve for m
y₂ = 5y₁ = 8x₂ = 8x₁ = 3\(m=\frac{5-8}{8-3}=\frac{-3}{5}\)student researchers wanted to see whether a short delay between seeing a list of words and when people were asked to recall them would hinder memorization. the subjects were shown a list of words to memorize for 1 minute and were then given 1 minute to recall as many words as they could. each subject did this once with no delay between memorizing and recall and another time with a 30-second wait between memorizing and recall. they were randomly assigned the order of the two conditions. the number of words memorized under each condition can be found in the statcrunch data set memorizingwords. questions: use the appropriate simulation applet to calculate an approximate p-value. is there strong evidence that a short delay hinders the memorization process? explain.
The appropriate simulation applet to calculate an approximate p-value is 0.0077.
The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.
Delay or no delay, answer: the number of words remembered
The mean distance between words remembered with and without delay over time is null, or zero.
Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.
Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.
The mean distance in words remembered is 1.85.
1)0.0077 as the p-value
2)Strong data suggests that a brief delay impairs memorization.
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A bycicle wheel whose radius is 30 cm covered distance in 70 revolutions how many km was the distance
Answer:
0.13188 km
Step-by-step explanation:
The distance covered by the bicycle wheel can be calculated using the formula:
distance = circumference x number of revolutions
The circumference of the wheel can be calculated using the formula:
circumference = 2 x pi x radius
where pi is approximately equal to 3.14.
Substituting the given values:
circumference = 2 x 3.14 x 30 cm
circumference = 188.4 cm
Now, we can calculate the distance covered by the wheel:
distance = circumference x number of revolutions
distance = 188.4 cm x 70
distance = 13188 cm
To convert this distance from centimeters to kilometers, we need to divide by 100,000 (since there are 100,000 centimeters in a kilometer):
distance = 13188 cm ÷ 100,000
distance = 0.13188 km
Therefore, the distance covered by the bicycle wheel is approximately 0.13188 km.
describe in words where 35 would be plotted on the number line. between 5 and 6, but closer to 5 between 5 and 6, but closer to 6 between 6 and 7, but closer to 6 between 6 and 7, but closer to 7
According to the question 35 can be accurately placed between 5 and 6, but it is notably closer to 6 on the number line.
The number 35 would be plotted on the number line between 5 and 6, but closer to 6. When considering the interval between 5 and 6 as a whole, 35 falls closer to the 6 side. It is not exactly midway between the two numbers, but its proximity leans towards 6.
This positioning indicates that 35 aligns more closely with the value of 6 rather than 5. Visually, if we were to divide the distance between 5 and 6 into equal parts, the point representing 35 would be located at a distance closer to 6.
Therefore, 35 can be accurately placed between 5 and 6, but it is notably closer to 6 on the number line.
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Steven read that the actual distance between Memphis and Chicago is about 525 miles. On a map, the distance between the two cities is about 10 inches. Which is most likely the scale used to make the map?
Answer:About 1,012 Inches
Step-by-step explanation:
Multiplying with Exponents using product and power rule. Please solve step by step. Thanks
Answer:
\(-x^{15}y^{21}\)
Step-by-step explanation:
To simplify the given expression, use exponent rules.
Given expression:
\(\left(-2x^5y^7\right)^3+7x^{15}y^{21}\)
\(\textsf{Apply the exponent rule:} \quad (a^b)^c=a^{bc}\)
\(\implies (-2)^3x^{(5 \cdot 3)}y^{(7\cdot3)}+7x^{15}y^{21}\)
Simplify:
\(\implies -8x^{15}y^{21}+7x^{15}y^{21}\)
Factor out the common term x¹⁵y²¹:
\(\implies \left(-8+7\right)x^{15}y^{21}\)
Simplify:
\(\implies \left(-1\right)x^{15}y^{21}\)
\(\implies -x^{15}y^{21}\)
A coin is tossed and a die is rolled simultaneously. What is the probability of getting a tail and a number less than 3?
Answer: 1/6
Step-by-step explanation:
Probability of getting heads or tail is:
P (H) = P(T) = 1/2
The probability of getting any number on the die is:
P (1) = P (2) = P(3) = P (4) = P (5) = P (6) = 1/6
The probability of getting a tail on the coin and a number less than 3 on the die is:
\(P($Tails and a number less than 3$)=P($Tails$) \times P$(A number less than 3)$$\begin{aligned}&=\frac{1}{2} \times[P(1)+P(2)] \\&=\frac{1}{2} \times\left[\frac{1}{6}+\frac{1}{6}\right] \\&=\frac{1}{6}\end{aligned}$$\)
Therefore the required of getting tails and a number less than 3 is 1/6
The causal theory of perception is the view that our experiences (our sensations and ideas) are the effects of physical objects acting on our sense organs (which are thereby the causes).a. Trueb. False
True. The causal theory of perception is the view that our experiences, such as our sensations and ideas, are caused by physical objects acting on our sense organs.
According to this causal theory of perception, when an object in the external world acts on our sense organs, it causes certain neural processes to occur, which in turn give rise to our conscious experiences. The causal theory of perception holds that there is a causal relationship between physical objects in the external world and our conscious experiences. When an object interacts with our sense organs, it causes certain neural processes to occur in our brain, which ultimately give rise to our conscious experiences of the object. So, the physical object is the cause, and our conscious experience is the effect.
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Angelique makes beaded jewelry. The graph below shows the number of beads on varying cord lengths. Jewelry A graph has cord length (inches) on the x-axis and number of beads on the y-axis. A line has a regression equation of y = 2. 52 x 1. 61. A necklace contains 88 beads. Based on the information above, which is the best estimate for the cord length? 21 inches 26 inches 34 inches 36 inches.
The best estimate for the cord length of the necklace with 88 beads is approximately 34 inches.
Based on the given regression equation, y = 2.52x + 1.61, where y represents the number of beads and x represents the cord length, we can estimate the cord length for a necklace containing 88 beads.
To find the cord length, we need to solve the equation 2.52x + 1.61 = 88.
Solving the equation, we get:
2.52x = 88 - 1.61
2.52x = 86.39
x = 86.39 / 2.52
x ≈ 34.32
Therefore, the best estimate for the cord length of the necklace with 88 beads is approximately 34 inches.
Based on the regression equation y = 2.52x + 1.61, the equation represents the relationship between the cord length (x) and the number of beads (y). By substituting y = 88 into the equation, we can solve for x. The solution x ≈ 34.32 indicates that the best estimate for the cord length of the necklace containing 88 beads is approximately 34 inches. This estimation is derived from the regression line, which provides a trend in the data and allows us to make predictions or estimates based on that trend.
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A wimming pool i being drained. The number of gallon of water in the pool change with time t according to the equation G = -4t 100
The equation that correctly solves the given equation for t is C) t = (100 - G) / 4
To solve for t in the equation G = -4t + 100, we need to isolate t on one side of the equation. To do this, we start by subtracting 100 from both sides:
G - 100 = -4t + 100 - 100
Simplifying the right side:
G - 100 = -4t
Finally, dividing both sides by -4:
t = (100 - G) / -4
So, option C) t = (100 - G) / 4 correctly represents the equation for t in terms of G.
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Your question is incomplete but most probably the full question was:
A swimming pool is being drained. The number of gallons of water in the pool changes with time t according to the equation G = -4t + 100.
Which equation correctly solves the given equation for t?
A) t = 4G - 100
B) t = -4G + 100
C) t =
100 - G
4
D) t =
G - 100
4
find an equation for the conic that satisfies the given conditions. ellipse, foci (0, −2), (8, −2), vertex (9, −2)
The parametric equation for the ellipse with foci (0, −2), (8, −2), and vertex (9, −2) is ((x-9)^2/64) + (y+2)^2/36 = 1.
To find the equation for the ellipse with the given foci and vertex, we can use the standard form of the equation for an ellipse:
((x-h)^2/a^2) + ((y-k)^2/b^2) = 1,
where (h, k) is the center of the ellipse, a is the distance from the center to the vertex, and b is the distance from the center to the co-vertex. Since the foci are on the x-axis, the center of the ellipse is at (c, −2), where c is the distance from the center to a focus. Using the distance formula, we have:
c = √(8^2/4) = 4
The distance from the center to the vertex is a = 5, since the vertex is 5 units to the right of the center. The distance from the center to the co-vertex is b = 3, since the co-vertex is 3 units above or below the center. Substituting these values into the standard form of the equation, we get:
((x-9)^2/25) + (y+2)^2/9 = 1
Since the foci are on the x-axis, we have:
2c = 8, or c = 4
The distance from the center to the vertex is a = 5, so:
a^2 = 25
Using the relationship between a, b, and c for an ellipse, we have:
b^2 = a^2 - c^2 = 25 - 16 = 9
Substituting these values into the standard form of the equation, we get:
((x-9)^2/64) + (y+2)^2/36 = 1
Therefore, the equation for the ellipse with foci (0, −2), (8, −2), and vertex (9, −2) is ((x-9)^2/64) + (y+2)^2/36 = 1.
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the factory produces 115 items an hour. Write an equation that shows the relationship between hours x and items y plz help
Answer:
115x=y
Step-by-step explanation:
9. There are 45 marbles in a bag (black and white only). The ratio of white marbles to black marbles is 2:3.
How many of each are there?
18 white and 27 black
Step-by-step explanation:
add 2 + 3 to get 5
45 ÷ 5 = 9
since white is 2, multiply 9 by 2 to get 18
since black 3, multiply 9 by 3 to get 27
Natasha is making curtains. Each set of curtains uses 8 yards of fabric. She has 61 yards of fabric. How much fabric will be left over after she makes as many sets of curtains as she can?
Answer: 5 yards will be left over.
Step-by-step explanation:
8 * 7 = 56
so then you would minus 56 from 61 which equals 5. Sorry if that's a weird way to get it but...