Answer:
Step-by-step explanation:
The equation of this circle is (x - 3)^2 + (y - 3)^2 = 12^2.
Let's substitute the coordinates of the given point and compare the results to the above equation: do they produce a correct statement?
(-6 - 3)^2 + (-5 - 3)^2 = ?
9^2 + 8^2 = 145
Because r = 12, the above result would need to be 144, not 145, if the given point were actually on the circle. We must conclude that (-6, -5) lies just outside the circle.
81 + 64 = 144
Beth purchased 7 sandwiches and spent a total of $43.75. If each sandwich was the same price, what was the cost per sandwich?
Answer:
6.25 dont fake ur grade plz
Step-by-step explanation:
One half of 96 is equal to 80% of what number?
(A) 35
(B) 60
(C) 76
(D) 84
(E) 90
Fill in the blank using the scaling factor that makes the number sentence true. 5.3 × > 5.3 0.886 or 1.00 or 1.003
The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.
The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:
5.3 × x > 5.3 ÷ 5.3 × k
We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:
5.3 ÷ 5.3 × k = k × 1 = k
Substituting this into our equation, we get:
5.3 × x > k
We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.
The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.
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Some teenagers collected trash for a beach clean-up. The data for the number of pounds of trash collected by each teenager are shown below.
26, 26, 21, 22, 20, 25, 35
What is the range of the data?
Answer:
D. 15 pounds
Step-by-step explanation:
35-20=15
The range of the data that represents the number of pounds of trash collected by each teenager is 15.
What is the range of a data set?The range is the difference between the Maximum value of the data set and the Minimum value of the dataset. Therefore, we can write the range as,
Range = Maximum value of the data set - Minimum value of the dataset
Given the data for the number of pounds of trash collected by each teenager as 26, 26, 21, 22, 20, 25, and 35.
Now, from the data, the Maximum value of the data set is 35 and the Minimum value of the dataset is 20. Therefore, we can write the range of the data set as,
Range = Maximum value of the data set - Minimum value of the dataset
= 35 - 20
= 15
Hence, the range of the data that represents the number of pounds of trash collected by each teenager is 15.
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Roy makes $10.15 each time he mows
his neighbor's lawn. In April he mowed
the lawn 2 times. In May he mowed the
lawn 3 times. In June he mowed the
lawn 1 time. How much money did Roy
make in all?
$[?]
Answer:
$60.90
Step-by-step explanation:
Roy makes $10.15 each time he mows his neighbor's lawn. In April he mowed he lawn 2 times. In May he mowed the lawn 3 times. In June he mowed the lawn 1 time. How much money did Roy make in all?
April: 2 times
May: 3 times
June: 1 time
2 + 3 + 1 = 6 times
6 time * 10.15 each time
= $60.90
Answer:
$60.90
Step-by-step explanation:
Add the number of times Roy mowed in total
April: 2
May: 3
June: 1
2 + 3 + 1 = 6
Multiply that amount by the $10.15 he makes each time he mows
10.15(6) = 60.9
= $60.90Help please!
S = 180m
How many strides would a runner take during a 1-hour run (60 min)
The number of strides the runner will make during 1 hour run will be =
10,800.
How to calculate the total number of strides made by the runner in a hour?To calculate the distance or number of strides made by the runner in an
hour, the graph given above is considered as follows;
The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.
From the graph
20 minutes= 3600 strides
60 minutes = X strides
make X the subject of formula;
x= 3600×60/20
= 216000/20
= 10,800
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Which of the following is true about the expression below(check all that apply) 13x^3-5y^4+12xy^3-10y^6+3A) The coefficient of the first term is 3B) The coefficient of the second term is -5C) The coefficient of the third term is 6D) The coefficient of the fourth term is -10E) there are no negative coefficient
Which of the following is true about the expression below
(check all that apply)
13x^3-5y^4+12xy^3-10y^6+3
A) The coefficient of the first term is 3
B) The coefficient of the second term is -5
C) The coefficient of the third term is 6
D) The coefficient of the fourth term is -10
E) there are no negative coefficient
Verify each statement
A) ------> is false (coefficient first term is 13)
B) -------> is true
C) ------> is false (coefficient of the third term is 12)
D) -----> is true
E) ------> is false
answers are options B and D
describe how a graph would look for the solution set for the inequality in problem 5. describe what the solution means and how the price of the balloons bought will affect the amount in the budget.
A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125
ii) solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.
C) See the description of the solution below.
Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.
The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:
0.80b + 65 ≤ 125
Now we can solve for b:
0.80b + 65 ≤ 125
0.80b ≤ 125 - 65
0.80b ≤ 60
b ≤ 75
Therefore, the dance committee can buy up to 75 balloons to stay within their budget.
To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.
The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.
As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.
Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.
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Full Question:
Since the above question is incomplete, it appears you are referring to the question below.
The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.
A) Write and solve an inequality to show the number of balloons that the dance committee could buy.
B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.
Get it right please.
A zoologist recorded the speed of two cheetahs. Cheetah A ran 17 miles in 8 minutes. Cheetah B ran 56 miles in 20 minutes. Which statement is correct?
Cheetah A has a higher ratio of miles per minute than Cheetah B because 17 over 8 is less than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is greater than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20.
Both cheetahs have the same ratio of miles per minute.
The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."
also "get it right please" ?! how rude
Are the experimental probabilities after 300 trials closer to the theoretical probabilities?
After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.
To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.
Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.
Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.
Experimental probability of heads: 160/300 = 0.5333
Experimental probability of tails: 140/300 = 0.4667
Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.
In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.
To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.
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The question probable may be:
Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.
Find the surface area and volume of a sphere.
A = 4 r²
V = 4/3r³
A sphere has a radius of 4 inches.
Area (to the nearest tenth) =
Volume (to the nearest tenth) =
sq. in.
cu. in.
\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)
3a+15=55-5a
Solve in detail
Answer: a=5
Step-by-step explanation:
Rearrange terms:
3a+15=-5a+55
Subtract 15 from both sides of the equation:
3a+15-15=-5a+55-15
Subtract the numbers:
15-15 55-15
3a=-5+40
Add 5a to both sides of the equation:
3a+5a=-5a+40+5a
Simplify:
8a=40
Divide both sides of the equation by the same term:
8a/8=40/8
Simplify: a=5
Sorry for the wait :(
But u did say solve in detail
find the inverse of each function
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
Noa hopes to pick the winning ticket during her math class’s raffle. The student who picks the ticket with a true statement will win. Which is the winning ticket?
A correct answer is an option a which is 2x = - 23
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
We need to select correct statements from the given options.
2 ( x - 6 ) = - 35
2 x - 12 = - 35
2x=-35+12
2x = - 23
Therefore, 2 ( x - 6 ) = - 35 is equivalent to .2x=-23
8(x-7)=35
8x-556=35
8x=91
Therefore, 8(x-7)=35 is not equivalent to 8x=91.
9(x-6)=-35
9x-54=-35
9x=19
Therefore,9(x-6)=-35 is not equivalent to 9x=19.
4(x-5)=35
4x-20=35
4x=55
Therefore,4(x-5)=35 is not equivalent 4x=55 to .
Hence, the correct answer is an option a which is 2x = - 23
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The following scatterplot shows two variables, x and y, along with a least-squares model.
Which of the following is a high leverage point with respect to the regression?
A (5,8)(5,8)
B (20,31)(20,31)
C (27,22)(27,22)
D (30,60)(30,60)
E (80,70)
Answer:
D(30,60)
Step-by-step explanation:
It was way outside the other points that are around the line.
The point (30,60) is a high leverage point on the regression plot.
What is High leverage points?High leverage points are those that are extreme but follow the regression equation's trend.
High leverage points are distinct from outliers, which deviate from the graph's or plot's pattern or trend.
Looking closely at the regression plot, the coordinate (30,60) follows the trend of the plot, however, it is farther from the majority of the points on the graph.
Hence, the point (30,60) is a high leverage point on the regression plot.
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A bag contains 2 white balls and 3 black balls .A second bag contains 3 white balls and 2 black balss.Two balls are drawn at random after the other from the first bag and placed in the second bag.Calculate the probability that the 2 balls are both white.
What’s the answer for these two
The amount freedome ride charge more than Envo car in d miles is $20.05
What is word problem?word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math. If you've ever taken a math class, you've probably solved a word problem.
The total charge for Enzo car =$50.50 +8¢ = $50.50 + $0.08 = $50.58
The total charge for Freedom = $70.50 + 12¢
= $70.50 + $0.12
= $70.62
therefore in d miles ;
Enzo will charge $50.58d
freedome will charge
$70.62d
therefore the amount freedome will charge more than Enzo car is $70.62 - $50.58
= $20.05
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\((-1)^{2} + 2^{3} -0^{4}\)
Answer:
9Step-by-step explanation:
\((-1)^{2} + 2^{3} -0^{4}\)
\( = 1 + 8 - 0\)
= 9 (Ans)
can someone please help me on my math please
Answer:
The answer is 112
Step-by-step explanation:
Area= base + base divided by 2 times height.
So 12+16 divided by 2 times 8.
1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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Pls help me with this
1. Which drink is the most preferred by your classmates?
2. Which drink is the least preferred by your classmates?
3. Compare the percentage of students who prefer juice and coffee.
4. Compare the percentage of students who prefer water and tea.
5. Compare the percentage of students who prefer chocolate drink and other drink.
Answer:
1. Choclate Drink
2. Coffee
3. 19 % difference
4. 1 % difference
5. 42% difference
Step-by-step explanation:
Fourteen soccer players want to share nine protein bars after the game. What fraction of a protein bar will each player get
evaluate the triple integral. t 7x2 dv, where t is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1)
The value of the triple integral is 7/180.
To evaluate the triple integral, we first need to set up the limits of integration. Since the solid tetrahedron T is defined by the four vertices (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1), we can use these points to set up the limits of integration as follows:
For z, we integrate from the bottom of the solid (z = 0) to the top (z = 1 - x - y).
For y, we integrate from the left side of the solid (y = 0) to the right (y = 1 - x).
For x, we integrate from the back of the solid (x = 0) to the front (x = 1).
Therefore, the triple integral can be written as:
∫∫∫ t 7x^2 dv = ∫∫∫t 7x^2 dV
= ∫[0,1] ∫[0,1-x] ∫[0,1-x-y] 7x^2 dz dy dx
∫[0,1] ∫[0,1-x] ∫[0,1-x-y] 7x^2 dz dy dx
= ∫[0,1] ∫[0,1-x] 7x^2 (1 - x - y) dy dx
= ∫[0,1] [7x^2 (1 - x) (1/2 - x/3)] dx
= 7/180
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Maths problem in simultaneous equations
Answer:
Question 6: The cost of a chocolate bar is $1.20 and the cost of a box of gum is $0.75
Question 7: There were 7 students
Step-by-step explanation:
Question 6:We will be using system of equations which a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations intersect.
Our Variables:
- chocolate bar which will be represent as b in the equation
- box of gum which will be represent as g in the equation
Forming the equations:
Sally -
bought 2 chocolate bars (b)
bought 1 box of gum (g)
to a total of $3.15
so 2b + 1g = $3.15
Evans -
bought 1 chocolate bars (b)
bought 2 box of gum (1)
to a total of $2.70
so 1b + 2g = $2.70
Solving using substation:
2b + 1g = $3.15 we want to isolate b to input into the other equation
1b + 2g = $2.70
2b + 1g = $3.15 subtract 1g from both sides, divided both sides by 2
2b / 2 + 1g - 1g = $3.15 - 1g / 2
b = $3.15 - 1g / 2
Now substation b into the second equation
1b + 2g = $2.70 becomes 1($3.15 - 1g / 2) + 2g = $2.70
simplify,
$3.15 + 3g / 2 = $2.70 isolate g
$3.15 + 3g / 2 x 2 = $2.70 x 2 multiply both sides by 2
$3.15 + 3g = $5.40 subtract $3.15, divided by 3 from both sides
$3.15 - $3.15 + 3g / 3 = $5.40 - $3.15 / 3
g = $5.40 - $3.15 / 3
g = $2.25 / 3
g = $0.75
Now plug in g to get b into any equation:
If Sally equation is used
2b + 1g = $3.15
2b + 1(0.75) = $3.15 → 2b + 0.75 = $3.15
2b + 0.75 - 0.75 = $3.15 - 0.75
2b = $2.40 → 2b / 2 = $2.40 / 2
b = $1.20
If Evans equation is used
1b + 2g = $2.70
1b + 2(0.75) = $2.70 → 1b + 1.50 = $2.70
1b + 1.50 - 1.50 = $2.70 - 1.50
1b / 1 = $1.20 / 1
b = $1.20
Question 7:
Our Variables:
- adult which will be represent as A in the equation
- student which will be represent as S in the equation
Forming the equations:
- sample size: group of 30
- Adult cost $5 (A)
- Student cost $2 (S)
- Five members are free
to a total cost is $104
so A + S = 30 - 5
this is how many of each variable from the total group and we subtract 5 as 5 members were free
so 5A + 2S = $104
Solving using substation:
A + S = 25 we want to isolate a to input into the other equation
5A + 2S = $104
a = 18
s =7
I need to prove the following statement by proof by contrapositive or proof by contradiction:
Suppose x ∈ R. If x^ 5 − 4x^ 4 + 3x^ 3 − x ^2 + 3x − 4 ≥ 0 then x ≥ 0.
Answer:
b
Step-by-step explanation:
ok
Dee’s Catering Budget vs. Actual Comparison for December 2010
a. What is the variance (dollar and percent) in Dee’s total cost of sales for the month of December? Answer: $32,051 and 12.8%
b. To what do you attribute the variance in Dee’s total cost of sales for December?
c. What is the variance (dollar and percent) in Dee’s salaries and wages for the month of December? Answer: $6,100 and 15.7%
d. To what do you attribute the variance in Dee’s salaries and wages for December?
e. What is the variance (dollar and percent) in Dee’s marketing expenses for the month of December? Answer: $-1.050 and -87.5%
f. What advice would you give Dee regarding her marketing expense variance?
I need help with answering these questions. Letter B, D, and F.
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
We have ,
Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
Hence, Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
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complete question:
A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
If 6 is subtracted from x and this quantity is then divided by 2, the result is y.
Which of the following equations represents the statement above?
Answer:
C
Step-by-step explanation:
Follow the order in the question
x-6
then is divided by 2 so put it all over 2
1. Give the rule for translating a point 4 units left and 8 units up. (2 points)
2. After the translation, where is A located? (2 points)
2. After the translation, where is A located? (2 points) Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection. 3. Give the rule for reflecting a point over the y-axis. (2 points)
4. What are the coordinates of A after the reflection? (2 points)
5. Is the final figure congruent to the original figure? How do you know? (2 points)
The image of the original figure after the translation and reflection is congruent to the original figure.
Translation over a point is what?A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.
1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.
2. Point A after translation is situated at (-2, 9).
3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.
4. Point B is obtained by reflecting point A over the y-axis (2, 9).
5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.
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BRAINLIEST PLEASSEEEEE HELP
EASY 7TH GRADE
MATH
10PTSSSSS EASYYY
A circle is cut from a square piece of cloth, as shown:
How many square inches of cloth are cut from the square?
(π = 3.14)
Answer:
2,122.64 square inches
Step-by-step explanation:
What is the product of 1.2 and 0.6
Answer:
.72
Step-by-step explanation:
simple multiplication