517 is real because it can be plotted on a number line.
What in math is an integer?
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.Which a real number?
Both rational and irrational numbers are considered to be real numbers. Real numbers include all rational and irrational numbers, including integers (-2, 0, 1), fractions (1/2, 2.5), and the number 3.9/517 is real because it can be plotted on a number line,
Its rational because it can be written as a fraction of 2 integers
But it is not an integer.
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How much higher is -58 than -93?
Answer:
35
Step-by-step explanation:
93 - 58 = 35
What is the Mean and Mode of the numbers: 6, 15, 15, 13, 14, 12, 9*
Plzz i need the answer fast
Answer:
Mean: 12 Mode: 15
Step-by-step explanation:
Mean: 6+15+15+13+14+12+9=84/7=12 The mean is all of the numbers added together and then divided by how many number there are
Mode: 6, 9, 12, 13, 14, 15, 15. The mode is the number that appears most often.
NISS Wednesday fehruny 2012 PERCENTAGES and a 1. An insurance agent receives a salary of Ghc550 and a 2 % Commission. on all sales over Ghc8500.00 If his total income in a particular month was GHc 9500.00, what
was the total amount the received at the end of the month
The total amount received at the end of the month is given as follows:
Ghc 570.
How to obtain the total amount?The total amount is obtained applying the proportions in the context of the problem.
The salary is divided as follows:
Fixed salary of Ghc 550.Commission of 2% on all sales over Ghc 8500.The person had Ghc 9500 in sales, which is 9500 - 8500 = 1000 Ghc over 8500 Ghc, hence the total amount received is obtained as follows:
550 + 0.02 x 1000 = Ghc 570.
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fraction math kids picked 124 strawberries gave 1/4 of strawberries to their neighbor and their mother used f 2/4 of the strawberries in a pie rest was saved for snack how many does the family have to snack on
Answer:
The family has 1/4 of the strawberries left to snack on, or 31 left to snack on.
Step-by-step explanation:
Since they gave away 1/4 of the strawberries to their neighbor, and the others were used in a pie, that means that 1/4 of the strawberries remain. You do 124/4 in which 1/4 of that is 31, since 31x4 is equal to 124.
Which rules define the function graphed below? y=2x+3, y=-1/3x+3
piecewise function defines the function graphed between y=2x+3 and y=-1/3x+3.
How to compare linear equations?
The comparison method, a procedure for solving systems of independent equations, starts by rewriting each equation with the same variable as the subject. Any of the variables may be chosen as the first variable to isolate. Each equation is now an isolated-subject equation, and equation where one variable is isolated.
Given:
y = 2x+3
y = -1/3x+3
The left portion of the blue curve is y = 2x+3 but it is only graphed when x < 0 (we could argue that but I'll set that aside for the other portion).
The right portion is the line y = -1/3x + 3 and it's only graphed when
Both lines have y-intercept 3.
The slopes are 2 and -1/3.
The equations are
y = 2x + 3; y = -1/3 x + 3e could have this piecewise function
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soIve: 12 = -4(-6x - 3)
x = -0.625
x = -0.375
x = -2
x = 0
Answer:
The answer is "x = 0"
Step-by-step explanation:
Step-by-step explanation: Hope this answer is helpful...
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A farmer earns $___ for each orange she sells. She had to pay $___ for fertilizer. Part A: Rewrite the description by filling in the blanks with values of your choice to show the amount of money the farmer could earn selling any number of oranges, n. Make sure the values you choose make sense for this situation. (6 points) Part B: Write an algebraic expression from your written description used in Part A. Let n stand for the number of oranges. (6 points)
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 0 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 10. There are two dots above 1 and 4. There are three dots above 2 and 5. There are 4 dots above 3.
Which of the following is the best measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.
The range is the best measure of variability for this data, and its value is 4.
Which of the following is the best measure of variability for the data, and what is its value?The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).
The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:
Range = Maximum value - Minimum value = 4 - 0 = 4
Therefore, the range is the best measure of variability for this data, and its value is 4.
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Dots sells T-shirts ($5) and shorts ($9). In April, total sales were $570. People bought 2 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell?
The number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.
What is system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Dots sells T-shirts ($5) and shorts ($9).
In April, total sales were $570. People bought 2 times as many T-shirts as shorts.Let suppose the number of T-shirts sold is x and shorts sold is y. Dots sells T-shirts ($5) and shorts ($9) with total sales of $570. Thus,
\(5x+9y=570\)
Solve it further,
\(5x+9y=570\\9y=570-5x\\y=\dfrac{570-5x}{9}\) ....1
People bought 2 times as many T-shirts as shorts. Thus,
\(x=2y\) ....1
Put the value of y form equation in this equation as,
\(x=2\times\dfrac{570-5x}{9}\\9x=1140-10x\\10x+9x=1140\\x=\dfrac{1140}{19}\\x=60\)
Put this value of x in equation 2 as,
\(x=2\times y\\60=2\times y\\y=\dfrac{60}{2}\\y=30\)
Thus, the number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.
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A cricketer's average in his first 20 innings was 15 runs per innings. After a further 10 innings, his average had increased to 17 runs per innings. What was his average for the last 10 innings?
The cricketer's average for the last 10 innings was 15.67 runs per innings (approx.).
The average for the last 10 innings, we need to follow these steps:
Calculate the total runs scored in the first 20 innings. Total runs scored = Average * Number of innings = 15 * 20 = 300
Calculate the total runs scored in the next 10 innings. Total runs scored = Average * Number of innings = 17 * 10 = 170
Calculate the total runs scored in all 30 innings. Total runs scored = 300 + 170 = 47
Calculate the average for all 30 innings. Average = Total runs scored / Number of innings = 470 / 30 = 15.6
Calculate the total runs scored in the last 10 innings. Total runs scored = Average * Number of innings = 15.67 * 10 = 156.7 (approx.)
Calculate the average for the last 10 innings. Average = Total runs scored / Number of innings = 156.7 / 10 = 15.67
Therefore, the cricketer's average for the last 10 innings was 15.67 runs per innings (approx.).
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Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
A system of linear inequalities represented by the graph are;
Inequality 1: y ≤ 3x - 3
Inequality 2: y ≥ ¹/₂x - 3
How to interpret Inequality Graphs?Inequalities that use < or > symbols are usually plotted with a dashed line that shows us that the line is not included in the region. Meanwhile, Inequalities that use ≤ or ≥ symbols are normally plotted with a solid line that shows us that the line is included in the region.
The general formula of equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, the graph that rises to the right side in the first quadrant has;
Slope = (3 - 1)/(3 - 2)
Slope = 3
the y-intercept is at y = -3
Thus, equation is;
y ≤ 3x - 3
Thus, the graph that rises to the left side in the second quadrant has;
Slope = (1 - 0)/(2 - 0)
Slope = 1/2
the y-intercept is at y = 1
Thus, equation is;
y ≥ ¹/₂x - 3
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h(x)=4/x-5
What is the domain of h?
Answer:
domain: (-∞, 5)∪(5, ∞)
domain in interval form: {x|x ≠ 5}
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The steps that Patel could he use to solve the quadratic equation include:
8(x² + 2x) = –3
8(x² + 2x + 1) = –3 + 8
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
How to illustrate tye information?It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.
The equation given is:
8x² + 16x + 3 = 0
8(x² + 2x) = -3
Completing squares in the brackets and balancing the equation:
8(x² + 2x + 1) = -3 + 8
Factoring the perfect square will give 8(x + 1)² = 5.
This is illustrated in the options picked for the step.
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George wanted to measure the angle of a water slide at the lake. He used a sheet of folded paper that formed a 20° angle. He measured and found that three of the folded paper angles would fit in the angle made by the slide and the ground.
Which of the following was the angle of the water slide?
The angle of the water slide is 60 degrees.
The equation that models his work is 3 × 20 = 60 degrees.
How to find the sum of angles of a figure/object?
He wants to measure the angle of a water slide at the lake.
He used a sheet of folded paper that formed 20 degrees to measure the angle of the the water slide at the lake.
He noticed three folded paper angle fits in the angle made by the slide and the ground.
Since each angle is equals to 20 degrees, and the three fits into the angle made by the slide and the ground, the angle of the water slide is as follows:
20 × 3 = 60 degrees
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Write the following radical expression using exponents.
1 divided by square root of 3
Answer:
The square root of 3 is 9
Calculate the Scale Factor given the points A( 12, 4) and A' (9, 3).
The Scale Factor is 0.75, or 3/4
What is scale Factor?Scale factor is a ratio of two related lengths, areas, volumes, or other quantities. It is used to describe how a figure is enlarged or reduced in size. For example, when a figure is enlarged, the scale factor is greater than one, and when a figure is reduced, the scale factor is less than one. Scale factors can be used to calculate the lengths of sides and areas of figures when one side or area is known.
The Scale Factor is calculated by dividing the coordinates of point A' (9, 3) by the coordinates of point A (12, 4). Therefore, the Scale Factor is 0.75, or 3/4.
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How much must be deposited today into the following account in order to have 45000 in 6 years for a down payment on a house? Assume no additional deposits are made. An account with annual compounding and an APR of %5
The amount to be deposited is $33582
What is interest rate?An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited, or borrowed. The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, the compounding frequency, and the length of time over which it is lent, deposited, or borrowed.
Given that, we need to find the deposited sum into the account in order to have 45000 in 6 years for a down payment on a house,
Formula to be used =
A = P(1+r)ⁿ
A = the Final Investment Value
P = the Principal amount of money to be invested
r = the rate of interest in decimal
n = Number of Time Periods
45000 = P(1+0.05)⁶
45000 = P(1.05)⁶
P = 45000 / 1.34
P = 33582
Hence, the amount to be deposited is $33582
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If a triangle has sides 12, 13 and 16, is it a right triangle? Show your work
Answer:
no it isn't, i took the test and passed.
Step-by-step explanation:
Answer:
No, it's not a right triangle
Step-by-step explanation:
All right triangles under-go the same criteria: The pythagorean theorem.
This states that a^2+b^2=c^2
a is 12, b is 13, and since 16 is the largest number, it's c.
12^2+13^2=16^2
144+169=256
313=256
This is wrong, so it's not a right triangle.
A box contains 83 coins, only dimes and nickels. The amount of money in the box is $5.80. How many dimes and how many nickels are in the box?
Answer:
Step-by-step explanation:
n = nickels
d = dimes
q = quarters
1) n + d + q = 39
n+d = q - 3
Translate to: 2) n + d - q = -3
.05n + .1d + .25q = 6.7 amount of each coin times the number of coins must add to 6.7
Multiply both sides by 20...
3) 1n + 2d + 5q = 134
Combine 1) & 2)
n + d + q = 39
n + d - q = -3
Add together
2n + 2d = 36
Divide by 2:
4) n + d = 18
Combine 1) and 3)
n + d + q = 39 Multiply by -5 => -5n -5d -5q = -195
n + 2d + 5q = 134 n + 2d + 5q = 134
Add together-> 5) -4n - 3d = -61
Combine 4) and 5)
n + d = 18 Multiply by 4 => 4n + 4d = 72
-4n - 3d = 61 -4n - 3d = -61
Add: d = 11
11 dimes...
Plug that into 4)
n + 11 = 18
n = 18-11 = 7 nickels.
Plug that into 1.
n + d + q = 39
7 + 11 + q = 39
18 + q = 39
q = 39-18 = 21 quarters
21 quarters, 7 nickels, and 11 dimes.
21(.25) + 7(.05) + 11(.1) = 5.25 + .35 + 1.1 = 5.6 + 1.1 = 6.7 Check.
Estimate. Tell whether the estimate is greater than or less than the actual product
23
x 24
A. O 25 10 = 250; less than
B. O 25 15 = 375; greater than
C. O 20 20 = 400, less than
D. O 30 20 = 600; greater than
Answer:
don't know
Step-by-step explanation:
Darella has 3 buckets of water on her back porch. Each bucket contains 134 gallons of water. How many quarts of water are contained altogether in the three buckets? Enter the answer as a whole number or decimal in the box below.
Answer:
34
Step-by-step explanation:
Nuclear power plants have redundant components in important systems to reduce the chance of catastrophic failure. Suppose that a plant has three gauges to measure the level of the coolant in the reactor core and each gauge has a 0.02 probability of failing. What is the probability that none of the gauges fails
Answer:
0.9412 = 94.12% probability that none of the gauges fails
Step-by-step explanation:
For each gauge, there are only two possible outcomes. Either it fails, or it does not. The probability of a gauge failing is independent of other gauges. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
3 gouges, each with a 0.02 probability of failing.
This means that \(n = 3, p = 0.02\)
What is the probability that none of the gauges fails?
This is P(X = 0).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{3,0}.(0.02)^{0}.(0.98)^{3} = 0.9412\)
0.9412 = 94.12% probability that none of the gauges fails
M
Check all that apply.
The angles that we have in the image here are:
supplementary angleright angleWhat is a supplementary angle?When two angles are measured, they sum up to 180. They are said to be supplementary angles.
On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.
What is a right angle
This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.
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Question 10: The graph below shows a company's profits f(x), in dollars, depending on the price of 8.01 & 8.04
pens x, in dollars, sold by the company.
Part A (2pts): Highlight your answer below
150
90
00
30
f(x)
What does the maximum value represent?
A The point where no profit is made
B.
C.
D.
The point where the most profit is made
The point where the most pens are made
The point where no pens are made.
Part B (2 pts) Highlight/circle your answer What do the x-intercepts represent?
A.
The price per pen where the most profit is made
B.
The price per pen where no profit is made.
C.
D.
The point where the most pens are made.
The point where no pens are made.
Part C (3 pts): What is an approximate average rate of change of the graph from
x=3 to x = 6? Show your work.
Part D (3 pts) Drag & Drop into the blanks to describe the constraints of the
domain.
The domain of this graph given the situation is
because
beyond those points.
+
Z
The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.
Part A:
The x-intercepts represent a zero profit.
The maximum value of the graph represents the maximum profit.
The function increases up till the vertex and decreases after it.
This means that the profit increases as it reaches the peak at the vertex.
It decreases after the vertex up till it reaches zero.
On the left of the first zero and on the right of the second zero, the profits are negative.
Part B:
An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5.
Part C:
Simply, the domain is constrained by x=0.
We are obliged at x=6 .
This is because we have to avoid a negative profit.
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How do you calculate a definite integral from a graph?
A national chain of department stores ranks its 1,000,000 salespeople by the monetary value of their sales. Karen's sales are at the 26th percentile. Brian's sales
are at the 33rd percentile.
(If necessary, consult a list of formulas.)
(a) Which of the following must be true about Karen's sales?
The value of Karen's sales were about 26% of the chain's total.
O The value of Karen's sales was in the top half of all of the salespeople.
O Karen sold $2600 in merchandise.
O Karen had sales lower in value than about 74% of the salespeople.
(b) Which of the following must be
true about Karen's and Brian's sales?
The value of Brian's sales were $700 more than Karen's.
O The value of Karen's sales were $700 more than Brian's.
O Both Karen and Brian had sales higher in value than the median.
O Both Karen and Brian had sales lower in value than the median.
(a) The truth about Karen's sales is that Karen had sales lower in value than about 74% of the salespeople. So, the correct option is D.
(b) The truth about Karen's and Brian's sales is that both Karen and Brian had lower sales in value than the median. So, the correct option is D.
Given that department stores rank their 1,000,000 salespeople by the monetary value of their sales. Karen's sales are at the 26th percentile and brian's sales are at the 33rd percentile.
A percentile is a measure used in statistics that indicates the value below which a certain percentage of observations in a group of observations falls.
(a) Karen had sales lower in value than about 74% of the salespeople because the 26% percentile represents his relative position among all the employees in terms of sales.
(b) Both Karen and Brian had sales lower in value than the median because the Median represents the 50th percentile. Since Karen's sales are at the 26th percentile and Brian's sales are at the 33rd percentile it implies their sales are less than the median value.
Hence, the truth about Karen's sales is Karen had sales lower in value than about 74% of the salespeople, and true about Karen's and Brian's sales is both Karen and Brian had lower sales in value than the median.
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Taeghan spent $4428 at Old Navy. She bought eighteen new shirts at the same price. What was the price of each shirt?
Answer:
$246
Step-by-step explanation:
What is 468,839 rounded to the nearest hundred thousand?
Answer:
500,000
Step-by-step explanation:
Answer:
500,000
hope this is right
The ratio 81:108 in the simplest form
The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.