Step-by-step explanation:
what is THE partial product ? there is a mistake in your problem description.
it must read "what are valid partial products".
1262×3 has the following partial products :
1000×3 = 3000
200×3 = 600
60 × 3 = 180
2×3 = 6
-----------
3786
so, D seems to be the best answer, because both numbers are partial products here.
A, B and C have each only one correct.
Kaya babysits to add money to her savings. She draws a graph to show how much she can earn by babysitting. What is the equation of Kaya’s line in slope-intercept form? What do the slope and y-intercept represent in the situation? Show your work.
The equation of the line of Kaya’s line in slope-intercept form is y = 15x + 25.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given this, Kaya babysits to add money to her savings. She draws a graph to show how much she can earn by babysitting.
To calculate the equation of the line we at least need Two points on the line.
Two points on the graph (0, 25) and (5, 100) and also the y-intercept of the given line is 25(where x is 0)
From the general formula of the slope-intercept form of an equation:
y=mx+b,
where m is the slope
b is the y-intercept,
Since. m = (y - y')/ (x -x')
In our case m = (100 - 25)/5-0)
m = 75 /5
m = 15
and b = 25
Thus, the equation of a line:
y = 15x + 25
Therefore, The equation of the line of Kaya’s line in slope-intercept form is y = 15x + 25.
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14Points An art museum has 1,025 paintings to divide equally among 20 rooms. How many more paintings does it need so that every room has the same number of paintings?
Answer:
15 more paintings
Step-by-step explanation:
which equation has x equals 8 for a solution
Answer:
There are multiple eqautions that could have 8=X
Heres's some example ones you can use:
X + X = 16
x2 + 4 =20
The possiblities are kinda endless.............
A photography student took portrait photos of people from his hometown. He wants to
develop 21 of the photos, 9 of which were photos of babies.
If he randomly chooses to make 4 of the photos black and white, what is the probability that
all of them are of babies?
Answer: The total number of ways the photography student can choose 4 photos out of 21 is given by the combination formula:
Step-by-step explanation: C(21, 4) = (21!)/((4!)(21-4)!) = 5985
Out of the 21 photos, 9 were photos of babies. The number of ways the student can choose 4 baby photos out of 9 is given by:
C(9, 4) = (9!)/((4!)(9-4)!) = 126
Therefore, the probability that all 4 photos chosen are of babies is:
P = (number of ways to choose 4 baby photos)/(total number of ways to choose 4 photos)
P = C(9, 4)/C(21, 4)
P = 126/5985
P ≈ 0.021
So, the probability that all 4 photos chosen are of babies is approximately 0.021 or 2.1%.
Determine the equation of the circle with center (-7, -4) containing the point
(-1,-8).
Answer:
(-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52
Step-by-step explanation:
i literally just learned this today so here we go:
The equation of a circle with center (h, k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
We are given the center of the circle as (-7, -4), so we can substitute these values for h and k:
(x - (-7))^2 + (y - (-4))^2 = r^2
(x + 7)^2 + (y + 4)^2 = r^2
We also know that the circle contains the point (-1, -8).
We can substitute these values for x and y, and solve for r:
(-1 + 7)^2 + (-8 + 4)^2 = r^2
36 + 16 = r^2
r^2 = 52
Substituting this value of r^2 into the equation for the circle, we get:
(x + 7)^2 + (y + 4)^2 = 52
Therefore, the equation of the circle with center (-7, -4) containing the point (-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52
There are 10 M&Ms of which 6 are green, in a bowl. You select 2 of them and eat each after it is selected. Is this a binomial experiment? Why or why not?
The experiment is not a binomial experiment.
What is a binomial experiment?
A binomial experiment is an experiment where there is a fixed number of trials, and the results are usually between two options- a yes or a no.
The conditions for a binomial experiment include:
1. Each trial should be classified either as a success or a failure.
2. There are a fixed number of observations
3. The trials are independent.
4. The number of trials are fixed.
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Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the series with an error of less than 0.0001.
Answer:
yeyyyaya
Step-by-step explanation:
a rectangle has an area of 54 square inches and a length of 6 inches. what is the width, in inches, of the rectangle?
Answer:
9 inches
Step-by-step explanation:
For similar problems like this, divide the area by the given length or width. In this case, your equation would be 54/6 = 9.
The width of the rectangle can be found as 9 inch.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The area and length of rectangle are given as 54 inch² and 6 inches.
Suppose the width of the rectangle be x.
Since, the area of rectangle is given as the product of length and breadth, the following equation can be written as,
6x = 54
⇒ x = 54/6
⇒ x = 9
Hence, the width is given as 9 inch.
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Can someone help me with this math problem asap
The absolute value function for this problem is given as follows:
y = |x - 4| - 6.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The coordinates of the vertex of the function are given as follows:
(4, -6).
The slope of 1 determines the leading coefficient a as follows:
a = 1.
Hence the function is given as follows:
y = |x - 4| - 6.
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A boy standing on the shore of a lake 1 mile wide wants to reach the “Golden Arches” 3 miles down the shore on the opposite of the lake. If he swims at 2 mph and walks at 4 mph, is it quicker for him to swim directly across the lake and then walk to the Golden Arches or to swim directly to the Golden Arches? To the nearest minute, how much quicker?
Answer:
it is a matter of time
the speed is constant
use v=d/t
to find t and comparing it
Step-by-step explanation:
and in the 2nd case assume a cannel directly conects the land that boy stands on and the golden arches with the same distances
and note that the units are the same
Three angles on a straight line. The first and second angles each measures 25°. What does the third angle measure?
Answer:
130
Step-by-step explanation:
A straight like measures 180°
25+25=50
180-50=130
plz mark brainliest :)
Answer:
\(130^{\circ}\)
Step-by-step explanation:
A straight line can denote half a circle, each side having \(180^{\circ}\). Therefore, the sum of these three angles should be \(180^{\circ}\). Since the first two angles both measure \(25^{\circ}\), we can set up the following equation and solve:
\(25+25+m\angle 3=180,\\m\angle 3= \fbox{$130^{\circ}$}\).
How do I graph this? Also how do identify which values of c for which
lim f(x) exist?
x -> c
Answer:
Step-by-step explanation:
Hello, I attached the graph.
This is a parabola, then a line and finally an horizontal line.
The vertex of the parabola is (0,0) and (2,4) is on the graph.
For the second part, draw a line which is passing by (2,4) and (0,4)
Finally, draw the line y = 4
You can see that f is continuous everywhere except in x = 4.
So, for any c real different from 4 the limit of f(x) exists.
Thank you
Evaluate 4|-2| - |-3|. Helpppp plz
Answer:
5
Step-by-step explanation:
A soccer team is planning to sell candy bars to spectators at their games. They will buy two-pound bags of candy. The number of candy bars per bag has mean 12 and standard deviation 2. They will sell each candy bar for $1.25. (Assume that all of the candy in a bag will be sold.)
1. What is the expected value and the standard deviation for the amount of money that would be made selling all of the candy in one bag of candy?
The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.
What exactly is a standard deviation?The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.
The expected value for the amount of money made selling all of the candy in one bag can be found by;
Expected value = mean number of candy bars per bag x price per candy bar
Expected value = 12 x $1.25 = $15
Formula for the standard deviation of a product of random variables:
\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)
where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.
X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:
E(Y²) = $1.25² = $1.5625
E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148
Cov (X,Y) = 0 (because X and Y are independent)
Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:
\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)
SD = √(592)
SD ≈ $24.33
Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.
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Find the area of the parallelogram
Answer:
1191 cm²
Step-by-step explanation:
Area of parallelogram = base X vertical height.
Call the vertical line h.
h/ sin 80 = 7/ sin 10
h = (7 sin 80) / sin 10
= 39.7.
Area of parallelogram = 30 X 39.7
= 1191 cm²
The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.
Given:
Side length = 30 cm
Using Trigonometry
tan 80 = P / Base
5.6712 = P / 7
P = 39.6984 cm
Using the formula for Area of parallelogram
= Base x height
= 30 x 39.6984
= 1,190.952 square cm.
Therefore, the area is 1,190.952 square cm.
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Solue x² +2x²-x-2. polynomial
Answer:
(x+1) (x-2)
Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope-intercept form. x y -2 -2 2 6 6 14 10 22
The equation of the linear function represented by the table in slope intercept form is f(x) = 2x + 2.
What is Linear Function?
A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables and the exponent of the variable is 1.
Equation of the linear function in slope intercept form can be represented as y = mx + d, where m is the slope and d is the y intercept.
Slope is the change in y coordinates divided by the change in x coordinates.
y intercept is the point on the line where the line touches the Y axis.
Given points are (-2, -2), (2, 6), (6, 14) and (10, 22).
Consider the points (-2, -2) and (2, 6).
Slope, m = (6 - -2) / (2 - -2) = 8 / 4 = 2
So the equation becomes y = 2x + d
Substituting one of the points (2, 6) in the above equation,
6 = (2 × 2) + d
d = 2
So the equation is y = 2x + 2.
Hence the given linear function can be represented as f(x) = 2x + 2.
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graph y-1=-2(x-2) help me
Someone help me with this
a. Category with the greatest frequency is 20 - 24
b. 14 students
c. The percentage is 7%
What is frequency?Frequency is simply described as the number of times an event or observation happened in a given study or experiment that is carried out.
From the information given, we have that;
a. The category with the greatest frequency is the one with most words spelt, we have;
20 - 24
b. The number of students that spelt 35 - 39 words is traceable to
14 students
c. If the total number of students is 200
Then, the percent of students in the 35 - 39 category is;
14/200 × 100/1
Multiply the values
7%
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Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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The following is a 98% confidence for p: (0.28,0.52). How large was the sample used to construct this interval?
Answer:
The sample size used to construct this interval cannot be determined from the information given.
Please help
21. What are the missing coordinates of point Q?
P(0, c)
A.
B.
C.
D.
Session 2-Calculator Allowed
(-2a, 0)
(2a, 0)
(-2a, c)
(2a, c)
Q(?, ?) O
N(2a, 0)
"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.
Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:
x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2
x-coordinate of Q = (0 + 2a) / 2 = a
So, we know that the x-coordinate of point Q is a.
To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:
y - c = (0 - c) / (2a - 0) * (x - 0)
Simplifying this equation gives:
y - c = -c/2a * xy = -c/2a * x + c
Substituting x = a in this equation gives:
y = -c/2a * a + cy = -c/2 + cy = c/2
So, we know that the y-coordinate of point Q is c/2.
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(SAT Prep) Find the value of x.
x 105 35
Angles in a triangle add up to 180 degrees
The value of x is 85 degrees
What is triangle?A triangle is a polygon which has three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.
here, we have,
How to determine the value of x
The total sum of angles for a triangle is 180 degrees.
So, we have:
x + 35 + 60 = 180
Evaluate the sum
x + 95= 180
Subtract 95 from both sides
x = 85
Hence, the value of x is 85 degrees
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Full question: (SAT Prep) Find the value of x. 35° 60° X
x=?
Determine the length of DE.
Use the given property to complete the statement.
Distributive Property
3(x-1)= 3x - ?
A) -1
B) -3
C) 1
D) 3
Answer:
B) -3
Step-by-step explanation:
Use distributive property.
3(x-1)(3*x) - (3*1)3x - 3∴ 3(x-1) = 3x - 3
Hence, it is verified that choice B) -3 is the correct answer.
dogs to cats is 2:7 there are 90 animals how many are cats
Answer: 70 cats
Step-by-step explanation:
add 2+7 = 9
90/9 = 10
multiply 2x10 = 20 dogs
10x7= 70 cats.
The company also has plans to open a third obstacle course, The Gridiron, where the first three checkpoints will have coordinates A′′(0,−5), B′′(9,−5), and C′′(4,−5). What relationship could this location have to the previous locations? Select all answers that apply.
Answer: It is a reflection of Reflections of You (second location) in the x-axis.
Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.
The correct answer is:
It is a reflection of Reflections of You (second location) in the x-axis.
The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.
Use the four-step definition of the derivative to find f'(x) if f(x)= -3x^3 + 10.
Normal distribution has a mean of 98 and standard deviation of 6. What is P(x > 104)
The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.
What is Prοbability?Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.
Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:
z = (x - μ) / σ
where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.
Plugging in the values, we get:
z = (104 - 98) / 6 = 1
Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.
Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.
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A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)
Note: MPG stands for miles per gallon of gas.
IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.
The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.
How to explain the variablesThe dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.
The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.
The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.
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