Answer:
A
Step-by-step explanation:
In an expression with variables, the constants are the numbers that are not multiplied by variables, in other words, plain numbers.
Answer: A
write an equation to match the description. "three times the sum of a number and 12 is 35."
Answer:
\(3 * (x + 12) = 35\)
_____________
\(\sf Solve~for~x\)
Subtract 12 by the product(35) to find x.\(35 - 12 = 23\)
_____________
what this means help
Answer:
1 is -2 and 2 is +5
Step-by-step explanation:
Its how Mafia
Suppose that after the sixth week of the season, the Jets had played 4 home games, the Dolphins had played 3 home games, and the Patriots had played 2 home games. Based on your expression from Part A, find the maximum number of attendees at the Jets, Dolphins, and Patriots games after the sixth week of the season.
Answer:
The Super Bowl is an enormously popular sporting event that takes place each year to determine the championship team of the National Football League (NFL). Millions of fans gather around televisions on a Sunday in January or February to celebrate this de facto national holiday.
Step-by-step explanation:
Though the NFL officially formed in 1920, the Super Bowl didn’t happen until more than 40 years later.
In 1960, a group of businessmen who wanted to own football franchises—but were denied by the NFL—decided to launch an alternative league, known as the American Football League (AFL).
What angles are congruent and opposite each other when lines intersect
Answer:
Vertical angles.
Step-by-step explanation:
Five tenths of a circle equals what decimal part of a circle?
Answer:
0.5
Step-by-step explanation:
5/10 of a circle is half of the circle.
Half is 0.5.
What are the intercepts of the function?
The x-intercepts are
Consider the function f(x) = x2 + 12x + 11.
x-intercepts:
0= x2 + 12x + 11
0 = (x + 1)(x+ 11)
The y-intercept is
y-intercept
f(0) = (0)2 + 12(0) + 11
) Intro
Done
Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
x² + 12x + 11 = 0 ← in standard form
(x + 1)(x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 11 = 0 ⇒ x = - 11
The x- intercepts are x = - 11 and x = - 1
To find the y- intercept let x = 0, that is
f(0) = 0² + 12(0) + 11 = 0 + 0 + 11 = 11
The y- intercept is 11
Please helpppppp, I’m so confused:(((
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A garden supply store sells two types of lawn mowers.Total sales of mowers for the year were $8379.79. The total number of mowers sold was 30. The small mower costs $249.99. The large mower costs $329.99. Find the number of large mowers sold.
a.11
c.17
b.19
d.9
Answer:
A. 11
Step-by-step explanation:
Because i got it right on (edge)
please help thank you
Imagine my work place has a problem with tardiness. I monitor a sample of 100 of my workers over a week, collecting information on two things: 1) Were they in management or not (Yes or No) 2) Were they late more than once that week (Yes or No). Assume there were 54 people in management and 21 of them were late more than once. Of those not in management, 34 of them were late more than once.What is the probability that an employee chosen at random from this sample is in management, given they were late more than once this week(calculate your answer to 2 dp)? When writing your answer to calculation questions like this, write only the number and nothing else in the answer box.
The probability that an employee chosen at random from this sample is in management, given they were late more than once this week, is approximately 0.382.
How to Calculate Conditional Probability?To calculate the probability that an employee chosen at random from the sample is in management, given they were late more than once, we can use conditional probability.
Let's denote the event of being in management as M and the event of being late more than once as L. We need to find P(M|L), the probability of being in management given being late more than once.
Using the formula for conditional probability:
P(M|L) = P(M and L) / P(L)
From the given information, we know that there are 54 people in management and 21 of them were late more than once. Therefore, P(M and L) = 21/100.
Additionally, there are 34 people not in management who were late more than once. Hence, P(L) = (21 + 34) / 100 = 55/100.
Plugging in the values:
P(M|L) = (21/100) / (55/100) = 21/55 ≈ 0.382
Learn more about conditional probability on:
https://brainly.com/question/28339868
#SPJ4
use mathematical induction to show:5n + 9 ≤ 6n, for all integers n ≥2.
Answer:
We will prove the statement by mathematical induction.
Base case: For n=2, we have 5(2) + 9 = 19 and 6(2) = 12. Clearly, 19 ≤ 12 is false, so the base case does not satisfy the inequality.
Inductive step: Assume that for some integer k ≥ 2, 5k + 9 ≤ 6k holds. We will show that 5(k+1) + 9 ≤ 6(k+1) also holds.
Starting with the left-hand side of the inequality:
5(k+1) + 9 = 5k + 5 + 9 = 5k + 14
Since k ≥ 2, we can use the inductive hypothesis to write:
5k + 9 ≤ 6k
Adding 5 to both sides:
5k + 14 ≤ 6k + 5
Substituting back into the left-hand side of the original inequality:
5(k+1) + 9 ≤ 6k + 5 = 6(k+1)
Therefore, we have shown that if the statement holds for some integer k ≥ 2, then it also holds for k+1.
Conclusion: By the principle of mathematical induction, the statement 5n + 9 ≤ 6n holds for all integers n ≥ 2.
rate5* po and give thanks for more! your welcome po!
Find the difference of 7.2 and 2.5
The difference of 7.2 and 2.5 simply means we should subtract 2.5 from 7.2. The solution is express below
If there are 9 square patches on the quilt, how many circle patches are there?
Answer:
5
Step-by-step explanation:
there are 5 circle patches on the quilt
A line passes through the point (-4,4) and has a slope of -3
Celina and Richard spend a certain amount of money from their money box each month to buy plants.
The table shows the relationship between the amount of money (y) remaining in Celina's money box and the number of months (x):
Function 1:
Numbers of Month Amount Remaining (dollars
(x) (y)
1 20
2 18
3 16
4 14
The equation shows the relationship between the amount of money, y, remaining in Richard's money box and the number of months, x:
Function 2:
y = −6x + 20
Which statement explains which function shows a greater rate of change? (1 point)
A.) Function 2 shows a greater rate of change, because Richard spends $20 each month and Celina spends $6 each month.
B.) Function 1 shows a greater rate of change, because Celina spends $6 each month and Richard spends $14 each month.
C.) Function 1 shows a greater rate of change, because Celina spends $2 each month and Richard spends −$6 each month.
D.) Function 2 shows a greater rate of change, because Richard spends $6 each month and Celina spends $2 each month.
Answer:
Function 2 shows a greater rate of change, because Richard spends $6 each month and Celina spends $2 each month.
Answer:
D) took test
Step-by-step explanation:
One form of a market economy is characterized by privately-owned businesses engaged in making a profit. What type of economy is this?
A. socialist
B. capitalist
C. planned
D. gift
Answer:
capitalist
Step-by-step explanation:
How many terms are in this expression ?-3x + 7y - 6 *
Answer:
3 terms in the expression
A soccer ball is made of 32 pieces of leather: white hexagons and black pentagons. Each black piece borders only with white pieces, each white piece borders with three black pieces and three white pieces. How many black pieces are needed to manufacture the ball?
Answer:
The number of black pieces needed to manufacture the ball is 11 black pieces
Step-by-step explanation:
Given that the number of pieces in the soccer ball = 32 pieces
The shape of the white piece = Hexagon
The shape of the black piece = Pentagon
Each black piece borders with only white pieces
Each white piece borders with three black pieces and three white pieces
For the first black pie piece is borders to 5 white pieces total 6 pieces
Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece
Each black piece holds one white piece to add extra 5 pieces to make the total = 26
At the outermost shell of the arrangement, each of the white piece attached to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,
The last piece is white
Total black piece = 1 + 5 + 5 = 11 black pieces.
please help due soon
Answer:
C. y = 14x - 37
Step-by-step explanation:
\(y = - 4(4x + 3) + 5(6x - 5) \\ \\ y = - 16x - 12 + 30x - 25 \\ \\ y = 14x - 37\)
.............................:3
Answer:
5m + 4
Step-by-step explanation:
2(2m + 2) + m is the question so you first distribute
2(2m+2) is equal to 4m + 4 (you had to do 2 times 2m plus 2 times 2)
So now you have 4m + 4 + m
Now you add like terms which in this case is 4m + m and 4 stays the same
So you get 5m + 4
Answer:
5m + 4
Step-by-step explanation:
2(2m + 2) + m
4m + 4 + m
5m + 4
Hope this helps!
4) Suppose you want the volume of your large box to be exactly 23124'cubic inches. If the length is 20.5 inches, and the height is 12 inches, what must the width be?
Answer:
94 inches
Step-by-step explanation:
first calculate the surface area of the side of the container by multiplying 20.5 by 12, then take that number and divied 23124 by it to see how many inches of sides you need to make 23124
another way to explain it, multiply 20.5 by 12 to get the surface area of a plane, then divide 23124 by the surface area fo the plane to get how many inches of planes you have to have in order to have 23124 inches of total space
if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest
A small hotel in central London has 8 rooms. Based on data collected over the last five years, it was estimated that the probability a room is occupied on any particular "weekend" night (Saturday and Sunday) is 0.75. This is the probability of success. On any particular "weekend" night, a hotel is only occupied (Success) or not occupied (Failure). There are no other possibilities. Required: What is the probability that at least 4 of the 7 hotel rooms are occupied on any weekend night? Note: Show all your calculations in well laid-out Excel spreadsheet tables with clear headings and include formulas. Give your answers correct to 3 decimal places.
Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.
To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.
For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339
For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:
P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923
Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.
Learn more about probability here: brainly.com/question/32117953
#SPJ11
Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.
To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.
To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339
For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:
P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.
Learn more about probability here: brainly.com/question/32117953
#SPJ11
-5 (e - 1) + 6e = -17
First expand the equation.
-5e+5+6e = -17
Next, combine the like terms.
e+5 = -17
e = -22
the quotient of 49 and a number
Answer:
7
Step-by-step explanation:
segment jk has coordinates j(3 -6) and k(-3 2). Find the coordinates of the midpoint M. Find the distance between the endpoints of JK.
The coordinates of the midpoint M of segment JK are (-0. 3). The distance between the endpoints of JK is sqrt(104) or approximately 10.198.
To find the coordinates of the midpoint M of segment JK, we can use the midpoint formula, which states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints. So, for segment JK with endpoints J(3, -6) and K(-3, 2), the x-coordinate of the midpoint is (-3+3)/2 = 0 and the y-coordinate of the midpoint is (-6+2)/2 = -2. Therefore, the coordinates of the midpoint M are (0, -2).
To find the distance between the endpoints of JK, we can use the distance formula, which states that the distance between two points with coordinates (x1, y1) and (x2, y2) is given by the square root of [(x2-x1)^2 + (y2-y1)^2]. So for segment JK with endpoints J(3, -6) and K(-3, 2), the distance is sqrt[(-3-3)^2 + (2-(-6))^2] = sqrt[36 + 64] = sqrt(100) = 10. Therefore, the distance between the endpoints of JK is approximately 10.198.
Learn more about Midpoint Formula here: brainly.com/question/17685913
#SPJ11
The regression line relating verbal SAT scores and college GPA for the data exhibited in Figure 3.12 is
a. Estimate the average GPA for those with verbal SAT scores of 600.
b. Explain what the slope of 0.00362 represents in terms of the relationship between GPA and SAT.
c. For two students whose verbal SAT scores differ by 100 points, what is the estimated difference in college GPAs?
d. Explain whether the intercept has any useful interpretation in the relationship between GPA and verbal SAT score. Keep in mind that the lowest possible verbal SAT score is 200.
(a) The GPA for those with verbal SAT scores of 600 is: 3.097
(b) The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score
a. Estimate the average GPA for those with verbal SAT scores of 600.
The regression line relating verbal SAT scores and college GPA for the data exhibited in Figure 3.12 is y = 0.275 + 0.00362x.
The GPA for those with verbal SAT scores of 600 is:
y = 0.275 + 0.00362(600)
= 3.097
b. Explain what the slope of 0.00362 represents in terms of the relationship between GPA and SAT.
The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score
Know more about SAT scores here:
https://brainly.com/question/16844356
#SPJ11
Write the equation of this line in slope-intercept form.
The linear function for this problem is defined as follows:
y = -3x/4 + 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph crosses the y-axis at y = 3, hence the intercept b is given as follows:
b = 3.
When x increases by 4, y decays by 3, hence the slope m is given as follows:
m = -3/4.
Hence the function is given as follows:
y = -3x/4 + 3.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
a sphere has a radius of 17 feet. the volume of the sphere is increasing at a rate of 562 cubic feet per minute. what is the rate of change of the radius, in feet per minute, when the radius is 5 feet?
When the sphere has a radius of 5 feet, the radius is increasing at a very slow rate of 0.018 feet per minute if volume is increasing.
The volume of a sphere formula, V = (4/3)r3, must be used to determine the rate of change of the radius.
Using this formula's derivative with regard to time t, we obtain:
\(dV/dt = 4r2(dr/dt)\).
Here, r: radius of the sphere, and we need to determine dr/dt, the rate of change of the radius when r=5. dV/dt is the rate of change of the volume, which is provided as 562 cubic feet per minute.
When we enter the provided values, we obtain:
\(562 = 4\pi (17)^2(dr/dt)\)
0.018 feet per minute is equal to\(dr/dt = 562 / (4(17)2)\).
As a result, the radius changes at a rate of about 0.018 feet per minute when the radius is 5 feet.
Learn more about volume here:
https://brainly.com/question/9994313
#SPJ4
Connie received $20 for her birthday from her grandparents. She used the money to buy an ice cream cone for herself and one for each of her four best friends. If each cone cost $3.15, how much money does Connie have left?
Answer:
4.25
Step-by-step explanation:
she has a total of 20 dollars and she wats to buy ice cream each at 3.15 for a total of 5 people including her self.
so 3.15(5) is 15.75
then subtract 15.75 from 20
20 - 15.75 = 4.25
an inequity that can be written in the form ax by < c (where a and b are not both zero) is called a ____?____ inequality in two variables.
An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.
An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.
In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.
The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.
Learn more about linear inequality here: https://brainly.com/question/30440630
#SPJ11