Answer:
-4,0
Step-by-step explanation:
Carl’s Cards will print holiday cards for $2 each plus a shipping fee of $25. Penny’s Prints offers holiday cards for $5 each with a shipping fee of $10. Create and use an algebraic equation to find out the number of holiday cards for which the cost is the same for either company. *
Using the same information from above, if you need to purchase 10 holiday cards, which company should you order from and why?
Carl's
Pennys
Answer:
the answer is 5
Step-by-step explanation:
The graph below shows the line y=[x]. If the line y=|x|*2 were graphed on the same grid, hc would it compare to the line shown in the graph below.
The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
How to identify the transformation?The functions for this problem are defined as follows:
Parent function: y = |x|.Transformed function: y = 2|x|.When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.
Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
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Who is most likely to get a good credit card rate based on their credit-to-debt ratio?
A. Darius has a credit limit of $6,000 and abalance of $1,200.
B. Laurel has a credit limit of $5,000 and a balance of $500.
C. Lenore has a credit limit of $10,000 and a balance of $3,500.
D. August has a credit limit of $2,000 and a balance of $300.
Answer: its the Laurel girl :)
Step-by-step explanation: I got it right.
Laurel has a less credit-to-debt ratio compared to others so Laurel is most likely to get a good credit card rate option (B) is correct.
What is debt?It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
We have a statement:
Who is most likely to get a good credit card rate based on their credit-to-debt ratio?
As we know,
Credit-to-debt ratio = Credit card balance ÷ Credit limit
A. Darius has a credit limit of $6,000 and a balance of $1,200.
Credit-to-debt ratio = 1200/6000 = 0.2 or 20%
B. Laurel has a credit limit of $5,000 and a balance of $500.
Credit-to-debt ratio = 500/5000 = 0.1 or 10%
C. Lenore has a credit limit of $10,000 and a balance of $3,500.
Credit-to-debt ratio = 3500/10000 = 0.5 or 35%
D. August has a credit limit of $2,000 and a balance of $300.
Credit-to-debt ratio = 0.15 or 15%
As we can see Laurel has a less credit-to-debt ratio compared to others so Laurel is most likely to get a good credit card rate.
Thus, Laurel has a less credit-to-debt ratio compared to others so Laurel is most likely to get a good credit card rate option (B) is correct.
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Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
19, 14, 9, ...
We represent it as -5. Thus, the common difference/ratio of the given sequence in the simplest form is -5.
To determine if a sequence is arithmetic or geometric, we have to find the differences (common differences) between the terms in the sequence.
The differences between the terms are calculated to determine if they are consistent for the arithmetic sequence or if they have a common ratio for the geometric sequence.
Therefore, the sequence below is arithmetic:19, 14, 9, ...To determine the common difference, we subtract each term from the previous term.19 – 14 = 5; 14 – 9 = 5Therefore, the common difference is 5. Hence, this is an arithmetic sequence with a common difference of 5.
Also, we can say that 14 - 19 = -5, 9 - 14 = -5, and so on. This is a common difference of 5 in the opposite direction. We can say that the difference is -5.
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A circle has a diameter of 10 feet. What is the area of the circle? Leave answers in terms of π.
Answer:
25pi
Step-by-step explanation:
If the circle has a diameter of 10, it has an radius of 5. The area of a circle is pi*r^2. If r=5, then it is 25pi.
Answer:
25π feet^2
Step-by-step explanation:
The area of a circle can be found using the following formula.
a=πr^2
We are given the diameter, but we need to find the radius. The radius is half of the diameter, or
r=d/2
We know the diameter is 10 feet. Therefore, we can substitute 10 in for d.
r=10/2
Divide 10 by 2
r=5
The radius is 5 feet.
Now we know the radius, and can substitute it into the area formula.
a=πr^2
r=5
a=π*5^2
Evaluate the exponent.
5^2 is equal to 5*5, which is 25.
a=π*25
a=25π
Add appropriate units. Area always uses units^2, and the units in this problem are feet.
a=25π feet^2
The area of the circle is 25π square feet
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
ASA
SAS
AAS
None
The method you would use to prove the two triangles are congruent include the following: B. ASA.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of corresponding sides are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
you did not provide enough information to answer the question
If a three-digit number is divided by 5 or by 6, remainder is 1 in each case. What is the least such three-digit number?
Answer:
The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.
Step-by-step explanation:
This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.
multiply out the following and then simplify(u+1)(u+5)
Answer:
u^2+6u+5
Step-by-step explanation:
Please check the attachment hope it helps :)
Please help ASAP I don’t know how to do this
∆HGJ is isosceles
hence, angleH = angle J
8x = 6x + 18
8x - 6x = 18
2x = 18
x = 18/2
x = 9
angleH = 8x = 8×9 = 72
angleH =72°
Math 100 POINTS
1. (01.01 LC)
Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression shows the depreciated sales value of the gadget:
2,020 − 22m
What does the coefficient of the expression represent? (1 point)
The number of months Megan will wait to sell the gadget
The monthly depreciation value of the gadget
The amount of money Megan will get when she sells the gadget
The original value of the gadget
2.
(01.02 LC)
Which of the following is the missing reason? (1 point)
Statements
Reasons
five thirds times x plus 2 equals negative 3
Given
5x + 6 = −9
?
5x = −15
Subtraction Property of Equality
x = −15
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Division Property of Equality
Multiplication Property of Equality
3.
(01.02 MC)
Solve the equation 3(2x + 2) = 3x − 15. (1 point)
x = −7
x equals negative seventeen thirds
x = 3
x = 7
4.
(01.03 MC)
A pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 16 minutes. Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination. (1 point)
y equals one fourth times x minus 16
y = 4x − 16
y equals one fourth times x plus 16
y = 4x + 16
5.
(01.05 MC)
A zookeeper is monitoring the population of gazelles. The herd needs to have exactly three times more males than females to thrive. The zoo only has room for a maximum of 12 female gazelles. Let x represent the number of female gazelles and y represent the number of male gazelles. Write the constraints that represent the possible number of male and female gazelles that can live in a thriving population at the zoo. (1 point)
x > 0 and y > 0
0 < x ≤ 12 and 0 < y ≤ 36
0 < x ≤ 12 and y > 36
x > 0 and y < 23
6.
(01.04 LC)
Solve for x: 3x − 2 > 5x + 10. (1 point)
x > 6
x < 6
x < −6
x > −6
7.
(01.04 MC)
An inequality is shown:
−np − 5 ≤ 4(c − 2)
Which of the following solves for n? (1 point)
n ≥ the quantity 4 times c minus 3 all over negative p
n ≥ the quantity 4 times c minus 13 all over negative p
n ≤ the quantity 4 times c minus 3 all over negative p
n ≤ the quantity 4 times c minus 13 all over negative p
Answer:
The coefficient of the expression, -22, represents the monthly depreciation value of the gadget.
Multiplication Property of Equality is the missing reason.
x = −7
y = 0.25x + 44
0 < x ≤ 12 and y > 3x
x < −6
n ≥ the quantity 4 times c minus 13 all over negative p
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces. (a) The process standard deviation is 0.15, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects. (Round your answer to the nearest integer.) Calculate the probability of a defect. (Round your answer to four decimal places.) Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.) defects (b) Through process design improvements, the process standard deviation can be reduced to 0.05. Assume the process control remains the same, with weights less than 9.85 or greater than 10.15 ounces being classified as defects. Calculate the probability of a defect. (Round your answer to four decimal places.) Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.) defects (c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean
Answer:
a) 0.3174 = 31.74% probability of a defect. The number of defects for a 1,000-unit production run is 317.
b) 0.0026 = 0.26% probability of a defect. The expected number of defects for a 1,000-unit production run is 26.
c) Less variation means that the values are closer to the mean, and farther from the limits, which means that more pieces will be within specifications.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Assume a production process produces items with a mean weight of 10 ounces.
This means that \(\mu = 10\).
Question a:
Process standard deviation of 0.15 means that \(\sigma = 0.15\)
Calculate the probability of a defect.
Less than 9.85 or more than 10.15. Since they are the same distance from the mean, these probabilities is the same, which means that we find 1 and multiply the result by 2.
Probability of less than 9.85.
pvalue of Z when X = 9.85. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{9.85 - 10}{0.15}\)
\(Z = -1\)
\(Z = -1\) has a pvalue of 0.1587
2*0.1587 = 0.3174
0.3174 = 31.74% probability of a defect.
Calculate the expected number of defects for a 1,000-unit production run.
Multiplication of 1000 by the probability of a defect.
1000*0.3174 = 317.4
Rounding to the nearest integer,
The number of defects for a 1,000-unit production run is 317.
Question b:
Now we have that \(\sigma = 0.05\)
Probability of a defect:
Same logic as question a.
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{9.85 - 10}{0.05}\)
\(Z = -3\)
\(Z = -3\) has a pvalue of 0.0013
2*0.0013 = 0.0026
0.0026 = 0.26% probability of a defect.
Expected number of defects:
1000*0.0026 = 26
The expected number of defects for a 1,000-unit production run is 26.
(c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean?
Less variation means that the values are closer to the mean, and farther from the limits, which means that more pieces will be within specifications.
23. Fluber Cab Services charges a flat fee of $1.50 plus an additional $0.65 per mile. Cindy has no more than $15 to spend on a ride.
Answer
The inequality describing the situation is
1.50 + 0.65x ≤ 15
Solving this,
x ≤ 20.77 miles
This means that with the amount she's willing to spend, she can travel no more than 20.77 miles with $15
Explanation
Flat fee for the ride is $1.50
Then each mile covered results in an extra expense of $0.65 per mile.
Cindy can spend no more than $15 on a ride.
If the maximum number of miles Cindy can go is x
Total amount for the ride for x miles
= (1.50 + 0.65x) dollars
This total amount cannot exceed $15
1.50 + 0.65x ≤ 15
We can then solve this inequality
1.50 + 0.65x ≤ 15
0.65x ≤ 15 - 1.50
0.65x ≤ 13.5
Divide both sides by 0.65
(0.65x/0.65) ≤ (13.5/0.65)
x ≤ 20.77 miles
Hope this Helps!!!
Hurry - Fill in the blanks
Answer:
The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.
An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.
k
Solve for 1.
1 = [?]
2
104°
57
Answer:
47
Step-by-step explanation:
104 = 57 + m<1
Subtract 57 from both sides.
m<1 = 47
A copy machine makes 24 copies per minute. How long does it take to make 132 copies? minutes seconds
Answer:
5 mins and 30 seconds
Step-by-step explanation:
find out how many sets of 24copies/min
132 ÷ 24 = 5.5
5.5min = 5mins and 30seconds
7. What is the y-intercept for the equation 5x-2y = -4?
о
(0,-2)
(0,2)
(0, -1/3)
(0,4/5)
Answer:
(0, 2)
Step-by-step explanation:
The central angle of a sector is 60 degrees and the area of the circle is 144 cm squared. What is the area of the sector?
The area of the sector is 24 cm².
To find the area of a sector, we need to know the central angle and the area of the entire circle.
The formula for the area of a sector is:
\(Area $ of sector = (central angle / 360) \times $ Area of circle\)
In this case, the central angle is given as 60 degrees, and the area of the circle is given as 144 cm².
Let's calculate the area of the sector:
\(Area $ of sector = (60 / 360) \times 144\)
Simplifying the expression:
\(Area of sector = (1/6) \times 144\)
Area of sector = 24 cm²
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The graph of g is a translation 1 unit down of the graph of f(x) = 3|x| – 4. The rate of change of g over the interval 2 ≤ x ≤ 5 is
The solution is: the rate of change is 3.
Here, we have,
Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):
g(x) = f(x) - 1
f(x) = 3|x| – 4
so, we get,
g(x) = 3|x| – 4 - 1
= 3|x| – 5
Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:
rate = g(5) - g(2)/ 5-2
so, we get,
rate = 9/3 = 3
Therefore the rate of change is 3.
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Scott feeds his dog 3/8 pounds of dog food for each meal Scott has just bought 24 pounds of dog food for how many meals will the food last
Answer:
64
Step-by-step explanation:
24 / (3/8) = 64 meals. Hope this helps!
1. In the expression at aⁿ,n is called
a. exponent
b.base
c. variable
d.number
( 1000+1000+ x ) = 2000
Answer:
x=0
Step-by-step explanation:
1,000+1,000=2,000
2,000+x=2,000
so x equals 0
Answer:
0
Step-by-step explanation:
x-1000 + 1000 = 2000
x = (1000 + 1000)- 2000
2000- 2000
= 0
Each dance class is hour. It takes a student 7 hours to learn a dance routine. Which
statement is true?
A student needs to take 6 dance classes to learn the routine.
A student needs to take 10 dance classes to learn the routine.
A student needs to take 5 dance classes to learn the routine.
A student needs to take 9 dance classes to learn the routine.
Done
Answer:
The correct option is (d) a student needs to take 10 dance classes to learn the routine.
Step-by-step explanation: Given that each dance class is hour and a student takes hours to learn a dance routine.
We are to select the TRUE statement.
Duration of each dance class is given by
and the time taken by a student to learn a dance routine is given by
Therefore, the number of dance class that a students needs to learn the dance routine will be
Thus, a student needs 10 dance classes to learn the dance routine.
Option (d) is CORRECT.
Step-by-step explanation:
Find the equation of the line through the points (3,6) and (-1, 1).
Let's begin by listing out the information given to us:
(x, y) at point 1 = (3, 6)
(x, y) at point 2 = (-1, 1)
The equation of a straight line is given by:
\(\begin{gathered} y=mx+b \\ m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-6}{-1-3}=\frac{-5}{-4} \\ m=\frac{5}{4} \end{gathered}\)Substitute the slope (m) into the equation, we have:
\(\begin{gathered} y=mx+b \\ m=\frac{5}{4} \\ y=\frac{5}{4}x+b \\ \text{Substitute the value of x \& y into the equation from (}3,6) \\ 6=\frac{5}{4}\cdot3+b\Rightarrow6=\frac{15}{4}+b \\ b=6-\frac{15}{4}=6-3\frac{3}{4} \\ b=2\frac{1}{4}=2.25 \\ \\ \therefore y=\frac{5}{4}x+2.25 \end{gathered}\)forty percent of the cases were monochromatic and the rest were variegated. if 2400 vases were variegated how many were monochromatic
Answer:
960 were monochromatic
Step-by-step explanation:
2400x.40=960
What are the characteristics of a Traditional economy?
What are the characteristics of a Command economy?
What are the characteristics of a Free Market economy?
What are the benefits of economic freedom?
What are the benefits of competition?
What role does the government play in the US economy?
Answer:
characteristics of a Traditional economy:
A traditional economy is a system that relies on customs, history, and time-honored beliefs. Tradition guides economic decisions such as production and distribution. Traditional economies depend on agriculture, fishing, hunting, gathering, or some combination of the above. They use barter instead of money.
characteristics of a Command economy:
The government creates a central economic plan for all sectors and regions of the country. The government allocates all resources according to the central plan. The central plan sets the priorities for the production of all goods and services.
characteristics of a Free Market economy:
Private property, Freedom of choice, Motivation of self intrest, competition, limited government.
benefits of economic freedom:
It is the principles of economic freedom—free markets, rule of law, protection of private property, and open trade—that boost prosperity and reduce costs so that societies can protect their environments, improve health, and broaden access to education
benefits of competition:
Competition in America is about price, selection, and service. it benefits consumers by keeping prices low and the quality and choice of goods and services high. Competition makes our economy work.
role the government play in the US economy:
The U.S. government's role in the economy can be broken down into two basic sets of functions: it attempts to promote economic stability and growth, and it attempts to regulate and control the economy.
Step-by-step explanation:
Write the quadratic function in vertex form, then identify the vertex
h(x)=x^2+20x+90
h(x)=
Vertex:
I need this answered ASAP please !
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Math Homework: Unit 3 Assignment
If the following data were transformed and points with the coordinates
(x, log(y)) were plotted, what points would be plotted? Round log(y) to three
decimal places.
X
1
2
3
y
12
83
580
If the data were transformed and points with the coordinates
(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.
To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.
Let's calculate the logarithms for the given data:
x y log(y)
1 12 log(12) = 1.079
2 83 log(83) = 1.919
3 580 log(580) = 2.763
Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)
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A candy bar that originally sold for $.60 undergoes a 3% price increase each year.
Both calculations from part (1) and part (2) yield the same result of $0.86 for the new cost of the candy bar after 11 years.
Part 1 of 2:
The new cost of the candy bar after 11 years can be calculated by applying a 3% price increase each year to the original cost of $0.60.
To calculate the new cost after 11 years, we can use the formula:
New Cost = Original Cost * (1 + Percentage Increase)^Number of Years
Plugging in the values:
New Cost = $0.60 * (1 + 3%)^11
≈ $0.60 * (1 + 0.03)^11
≈ $0.60 * (1.03)^11
≈ $0.60 * 1.432364654
Rounding to the nearest cent, the new cost of the candy bar after 11 years is $0.86.
Part 2 of 2:
If the cost of the candy bar increased by 3% of the original cost each year for 11 years, we can calculate the final cost by multiplying the original cost by (1 + 3%) for each year.
Using the formula:
Final Cost = Original Cost * (1 + Percentage Increase)^Number of Years
Plugging in the values:
Final Cost = $0.60 * (1 + 3%)^11
≈ $0.60 * (1 + 0.03)^11
≈ $0.60 * (1.03)^11
≈ $0.60 * 1.432364654
Rounding to the nearest cent, the final cost would also be $0.86.
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Note: The complete question is - What will be the cost of the candy bar after a specific number of years if it originally sold for $.60 and undergoes a 3% price increase each year?
Please solve the equation and show it step by step. I have to show my work and I suck at that!
12m + 100 = 700m
m = 50
The solution to the equation 12m + 100 = 700m is given as follows:
m = 0.1453.
How to solve the equation?The equation in the context of this problem is defined as follows:
12m + 100 = 700m
The variable for which we want to obtain the solution is given as follows:
m.
To obtain the solution, we isolate the variable m, applying inverse operations, as follows:
12m + 100 = 700m
700m - 12m = 100 -> subtraction is the inverse of addition.
688m = 100
m = 100/688 -> division is the inverse of multiplication.
m = 0.1453.
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