Answer:19/3
Step-by-step explanation:
Answer:19/3
Step-by-step explanation:
Which of the relations below is a function?
{(2,3), (3,4), (5,1), (6,2), (2,4)}
{(2,3), (3,4), (5,1), (6,2), (3,3)}
{(2,3), (3,4), (5,1), (6,2), (7,3)}
Answer:
{(2,3), (3,4), (5,1), (6,2), (7,3)}
Step-by-step explanation:
A relation may or may not represent a function.
The relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}
Relations and functions
For a relation to be considered a function, then the x values must point to different y-values.
The above condition is true for the relation (3).
This is so because all x values in this relation point to different y-values.
Hence, the relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}
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Yesenia records the ages of 9 friends. A
box plot of her data set is shown.
Click above the number line to create a
dot plot that could represent Yesenia's
data set
Answer:
did not get the point of the sum
(EAR annuity) You have two options of paying for your new dishwasher: You can either make a single payment of $400 today, or you can pay $70 for each of the next 6 months, with the first payment made today. What is the effective annual interest rate (EAIR) of the second option?
show step by step on Excel
You have two ways to pay for your new dishwasher: either you can make a single payment of $400 immediately, or you can make six payments of $70, the first of which must be done today. The second option's EAIR is 6.54%.
Here are the steps on how to calculate the effective annual interest rate (EAIR) of the second option using Excel:
In Excel, create a new spreadsheet and enter the following information:
Present Value: $400
Number of payments: 6
Amount of each payment: $70
Use the FV function to calculate the future value of the annuity. The FV function takes the following arguments:
Present Value
Number of periods
Interest rate per period
Compounding frequency
In this case, the interest rate per period is equal to the monthly interest rate, which we need to calculate first.
Calculate the monthly interest rate. The monthly interest rate is equal to the annual interest rate divided by 12. In this case, the annual interest rate is 6%, so the monthly interest rate is 0.5%.
Set the compounding frequency to monthly.
The FV function will return the future value of the annuity, which is $426.18.
The EAIR is equal to the difference between the future value and the present value, divided by the present value, and multiplied by 100%. In this case, the EAIR is equal to 6.54%.
Here is the formula for calculating the EAIR:
\(\begin{equation}\text{EAIR} = \frac{\text{FV} - \text{PV}}{\text{PV}} \times 100\%\end{equation}\)
Here is the output of the FV function:
=FV(400,6,0.005,12)
Output:
426.18
Here is the formula for calculating the EAIR:
\(\begin{equation}(426.18 - 400) / 400 * 100\%\)
Output:
6.54%
Therefore, the EAIR of the second option is 6.54%.
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Daine simplified the expression below.
8(1 + 2i)-(7 –3i) = 1 + 5i
What mistake did Daine make?
He did not apply the distributive property correctly for 8(1 + 2i).
He did not distribute the subtraction sign correctly for 7 - 3i .
He added the real number and coefficient of i in 8(1 + 2i).
He multiplied the two complex numbers when he should have subtracted.
Answer:
A. He did not apply the distributive property correctly for 8(1 + 2i).
Step-by-step explanation:
By not distributing the 8 to the 2i, he did not get the right answer. edg2020
Let us assume that you started a job on 08/21/2019. You graduated on 05/20/2022. How many days have you been working at the job as a student?
Group of answer choices
a. 1215
b. 1287
c. 905
d. 1003
I have been working 1004 days at the job as a student
They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, and division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:Start = 08/21/2019Graduated = 05/20/2022Days =?Calculate the days from 08/21/2019 to 08/21/2022, we get:
Days 1 = (08/21/2022 - 08/21/2019) * (365 days/1 year)
Days 1 = 3 years * (365 days/1 year)
Days 1 = 1095 days
Calculate the days from 05/21/2019 to 08/21/2019, we get:
Days 2 = (08/21/2019 - 05/21/2019) * (30 days / 1 month)
Days 2 = 3 months * (30 days / 1 month)
Days 2 = 90 days
Calculating the days from 05/20/2019 to 05/21/2019, we get:
Days 3 = 05/21/2019 - 05/20/2019
Days 3 = 1 day
Calculate the total days from 08/21/2019 to 05/20/2022, we get:
Total days = Days 1 - days 2 - days 3
Total days = 1095 days - 90 days - 1 day
Total days = 1004 days
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Please answer the question in the picture!!!
Problem 1: Vince works at a restaurant and earns $15 per hour. On Friday,
he worked "t" hours at the restaurant, and his neighbor paid him $10 per
hour to babysit for "b" hours. Write an expression that represents the
amount Vince earned on Friday.
Answer:
wow he got to be rich
Step-by-step explanation:
Answer:
t(15)+b(10)=$ earned friday
Step-by-step explanation:
Someone help l don’t understand
Answer:
a) 300000
b) £200
c) 20000 km
Step-by-step explanation:
You always start counting significant digits starting with the left-most non-zero digit in the number. If there is no decimal point, the right-most non-zero digit is the last of the significant digits. If there is a decimal point, the right-most digit is the last of the significant digits.
The number 276040 in part (a) has 5 significant digits: 2, 7, 6, 0, 4.
__
We want numbers with only 1 significant digit. That means we keep only the left-most non-zero digit, rounding up if necessary.
a) 276040 ⇒ 300000
b) £238.02 ⇒ £200
c) 17521 km ⇒ 20000 km
_____
Additional comment
In part (b), we dropped the decimal point and the fractional part because we want the count of significant digits to stop with the first one.
NEED HELP!!! 30 POINTS
FIND THE RATIONAL EXPONENT FORM!!
Answer:
Step-by-step explanation:
The root which is 2 is the fractional portion of your exponent
\(\sqrt{x^{7} y^{12} }\)
=\((x^{7} y^{12} )^{\frac{1}{2} }\) >You can distribute 1/2 to each term by multiplying
\(=x^{\frac{7}{2} } y^{6\)
Over 3 days Molly earns $2,568 for a local charity.She earns twice as much money on the first day then the second day. She earns 3 times as much money than the second day on the 3rd day.How much money did Molly earn on the first day?
Answer:
Molly earned $856 on the first day.
Step-by-step explanation:
From the information given, you know that over 3 days Molly earned $2,568 which is:
x+y+z=2568, where:
x is the amount earned on the first day
y is the amount earned on the second day
z is the amount earned on the third day
Also, you know that she earns twice as much money on the first day then the second day, which is: x=2y and that she earns 3 times as much money than the second day on the 3rd day, which is: z=3y.
Now you can replace x and y in the first equation and solve for y:
2y+y+3y=2568
6y=2568
y=2568/6
y=428
No, you can replace the value of y to find x and z:
x=2(428)
x=856
z=3(428)
z=1284
According to this, the answer is that Molly earned $856 on the first day.
What is the integral of 1/(sinh(x)) ?
The solution to the integral is:\(∫ 1/(sinh(x)) dx = (1/2) ln|sinh(x) + sinh(x)^2| + C.\)
How we can find the solution of the integral?To find the integral of \(1/(sinh(x))\), we can use the substitution \(u = sinh(x)\), which implies\(du/dx = cosh(x)\) and\(dx = du/cosh(x)\). Substituting these into the integral, we get:
\(∫ 1/(sinh(x)) dx = ∫ 1/u * du/cosh(x)\)
\(= ∫ cosh(x)/u * du\)
Now, we can use the identity\(cosh^2(x) - sinh^2(x) = 1\)to replace\(cosh(x)^2\)with \((sinh(x)^2 + 1)\)in the integrand:
\(∫ (sinh(x)^2 + 1)/u * du\)
\(= ∫ sinh(x)^2/u * du + ∫ 1/u * du\)
The first integral can be rewritten using the identity \(sinh^2(x) = (cosh(2x) - 1)/2:\)
\(∫ (cosh(2x) - 1)/(2u) * du\)
\(= (1/2)∫ cosh(2x)/u * du - (1/2)∫ du/u\)
\(= (1/2) ln|u + sinh(x)| - (1/2) ln|u| + C\)
\(= (1/2) ln|sinh(x) + sinh(x)^2| + C\)
Therefore, the solution to the integral is:
\(∫ 1/(sinh(x)) dx = (1/2) ln|sinh(x) + sinh(x)^2| + C\)
In words, this means that the antiderivative of \(1/(sinh(x))\)is equal to one-half times the natural logarithm of the sum of\(sinh(x)\) and \(sinh(x)^2\), plus a constant of integration.
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How is 0.136¯¯¯¯ written as a fraction in simplest form?
Enter your answer in the box.
ANSWER QUICK FOR 50 POINTS
Answer:
17/125
Step-by-step explanation:
0.136×1000÷1×1000=136/1000
136/1000=17/125
The length of a rectangle is 3 cm less than twice the width of the rectangle. If the perimeter is 75 cm, what are the dimensions of the rectangle?
The dimensions are 24 by 13.5 cm
How to determine the dimensions of the rectangle?The given parameters are
Length = 3 cm less than twice the width
This means that
L = 2W - 3
Where
L represents Length and W represents Width
The perimeter is given as
P = 75 cm
The perimeter is calculated as
P = 2*(L + W)
So, we have
2*(L + W) = 75
This gives
2*(2W - 3 + W) = 75
Evaluate
2*(3W - 3) = 75
Divide by 2
3W - 3 = 37.5
So, we have
3W = 40.5
Divide by 3
W = 13.5
Recall that
L = 2W - 3
So, we have
L = 2 * 13.5 - 3
Evaluate
L = 24
Hence, the dimensions of the rectangle are 24 by 13.5 cm
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this is a muiti ancer
Answer:
A is definitely correct and possibly C as well
Step-by-step explanation:
Wyatt is correct so it’s not B or D and E doesn’t make sense.
Which of the following sets of numbers could not represent the three sides of a right
triangle?
{20, 48,52}
{40, 75, 85}
{14, 47,50}
{13, 84, 85}
Answer:
{14, 47, 50}
Step-by-step explanation:
The three sides of a right triangle must satisfy
a² + b² = c², known as the Pythagorean Theorem. So let's put the pairs into the theorem.
20, 48, 52
a² + b² = c²
20² + 48² = 52²
400 + 2304 = 2704
2704 = 2704
20, 48, and 52 represent the three sides of a right triangle.
40, 75, 85
a² + b² = c²
40² + 75² = 85²
1600 + 5625 = 7225
7225 = 7225
40, 75, and 85 represent the three sides of a right triangle.
14, 47, 50
a² + b² = c²
14² + 47² = 50²
196 + 2209 = 2500
2405 ≠ 2500
14, 47, and 50 do NOT represent the three sides of a right triangle.
13, 84, 85
a² + b² = c²
13² + 84² = 85²
169 + 7056 = 7225
7225 = 7225
13, 84, and 85 represent the sides of a right triangle.
14, 47, and 50 do NOT represent the three sides of a right triangle, therefore making it your answer.
What is the slope? What is the y-intercept? What is the equation of the line (slope intercept form?)
Answer:
The slope is: m = -²/₅
The y-intercept is: b = -2
The equation of the line: y = -²/₅x - 2
Step-by-step explanation:
The equation of a line in slope intercept form: y = mx + b
The slope: \(m=\dfrac{y_2-y_1}{x_2-x_1}\)
(-5, 0) ⇒ x₁ = -5, y₁ = 0
(0, -2) ⇒ x₂ = 0, y₂ = -2
So:
\(m=\dfrac{-2-0}{0-(-5)}=-\dfrac25\)
How to solve number 14
Answer:
ST (given)
Step-by-step explanation:
Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph. Favorite Ice Cream Flavors Coffee 14% Chocolate 42% Strawberry 18% Vanilla How many more of Ursula’s classmates chose chocolate than chose vanilla?
Answer:
3
Step-by-step explanation:
Answer:
answer would be 3!
Step-by-step explanation:
view the problem, it could be adding or subtracting. your welcome! c:
Calculate the area of a circle with a diameter of 8cm.
Show all your work.
A≈50.27cm²
Using the formulas
A=πr2
d=2r
Solving forA
A=1
4πd2=1
4·π·82≈50.26548cm²
Answer:
16π cm^2
Step-by-step explanation:
The formula for the area of a circle is \(\pi r^{2}\), r being the radius. The radius is always half of the diameter, so in this case, the radius is 4. \(4^{2}\) is just 4 * 4 which is 16. Multiply that by π and you get 16π. Or, approximately 50.27 cm^2
select the domain and range of each relation. { ( 0 , 2 ) , ( 1 , 3 ) , ( 2 , 4 ) , ( 3 , 5 ) , ( 4 , 6 ) }
The domain and range of the given relation { ( 0 , 2 ) , ( 1 , 3 ) , ( 2 , 4 ) , ( 3 , 5 ) , ( 4 , 6 ) } are as follows: Domain: {0, 1, 2, 3, 4}, Range: {2, 3, 4, 5, 6}.
The domain represents the set of all input (x) values, while the range represents the set of all output (y) values in the relation. The given set of ordered pairs is a relation. The first coordinate in each pair is the input, also known as the domain, and the second coordinate is the output, also known as the range.
Domain: { 0, 1, 2, 3, 4 }
Range: { 2, 3, 4, 5, 6 }
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16. A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which equation could be used to find x, the number of days the car be rented if they want to spend exactly $760.00 on the van rental?
A. 75.00 + 160.00x = 760 00
B. 75.00x - 160.00 = 760.00
C. 75.00 - 160.00x = 760.00
D. 75.00x + 160.00 = 760.00
Answer:
Step-by-step explanation:
D
Can someone please help me ASAP? It’s due today!! I will give brainliest if it’s all correct.
Please do part a, b, and c
Answer:
Step-by-step explanation:
Inference means a statement according to the data. The chart is a survey on which subject is their favorite, not necessarily their performance but they want you to surmise things about performance.
A. Most of the students must do best in math because they favor math most.
B. Social studies was voted as one of least like subjects; they must get good grades in social studies.
C. Boys must do well in science.
Each number in the table below represents the number of employees at different stores in
two nearby malls.Part A
Determine the interquartile range for numbers of employees at each mall. Show your work or
explain your reasoning.
Part B
Which mall would you expect to have greater variability in regard to numbers of employees?
Show your work or explain your reasoning.
(A) The interquartile range for numbers of employees at Mall A is 65 and at Mall B is 7.5. (B) Mall B would we expect to have greater variability in regard to numbers of employees.
Part A: To determine the interquartile range (IQR) for numbers of employees at each mall, we first need to find the median for each mall. The median is the middle value of a set of data when arranged in order.
For Mall A:
Arrange the numbers in ascending order: 18, 20, 21, 22, 25, 26, 27, 28, 28, 29
The median is the average of the two middle numbers, which are 25 and 26.
Median = (25 + 26) / 2
= 25.5
Next, we need to find the first quartile (Q1) and the third quartile (Q3). The first quartile is the median of the lower half of the data, and the third quartile is the median of the upper half of the data.
For Mall A:
Lower half: 18, 20, 21, 22, 25
Upper half: 26, 27, 28, 28, 29
Q₁ = median of the lower half
= (21 + 22) / 2
= 21.5
Q₃ = median of the upper half
= (28 + 28) / 2
= 28
The interquartile range for Mall A is:
IQR = Q3 - Q1
= 28 - 21.5
= 6.5
For Mall B:
Arrange the numbers in ascending order: 19, 21, 23, 24, 25, 26, 27, 29, 30, 33
The median is the average of the two middle numbers, which are 25 and 26.
Median = (25 + 26) / 2
= 25.5
Lower half: 19, 21, 23, 24, 25
Upper half: 26, 27, 29, 30, 33
Q₁ = median of the lower half
= (21 + 23) / 2
= 22
Q3 = median of the upper half
= (29 + 30) / 2
= 29.5
The interquartile range for Mall B is:
IQR = Q3 - Q1
= 29.5 - 22
= 7.5
Part B: To determine which mall would have greater variability in regard to numbers of employees, we can compare the interquartile ranges for each mall. The interquartile range measures the spread of the middle 50% of the data. The larger the interquartile range, the greater the variability.
In this case, Mall B has a larger interquartile range than Mall A (7.5 vs. 6.5). This suggests that there is greater variability in the number of employees at Mall B.
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Solving Linear Equations involving Distribution
Solve the linear equation:
3.4 + 2(9.7 - 4.8x) = 61.2
What are the possible steps involved in solving this
equation? Check all that apply.
Add 3.4 and 2.
Distribute 2 to 9.7 and -4.8x.
Combine 3.4 and 19.4.
Divide both sides by 22.8.
Subtract 22.8 from both sides.
Divide both sides by -9.6.
Answer:
-4
Step-by-step explanation:
3.4+2(9.7-4.8x)=61.2
2(9.7-4.8x)=61.2-3.4
2(9.7-4.8x)=57.8
9.7-4.8x=57.8/2
9.7-4.8x=28.9
4.8x=9.7-28.9
4.8x=-19.2
x=-19.2/4.8
x=-4
Answer:
B, C, E, FStep-by-step explanation:
B. Distribute 2 to 9.7 and −4.8x.
C. Combine 3.4 and 19.4.
E. Subtract 22.8 from both sides.
F. Divide both sides by −9.6.
I did the question myself these were the answers.type the correct answer in the box. simplify the following expression into the form a bi, where a and b are rational numbers. ( 4 − i ) ( − 3 7 i ) − 7 i ( 8 2 i )
The final simplified expression is: -211/7i - 3/7
To simplify the given expression, let's work step by step:
(4 - i)(-3/7i) - 7i(8/2i)
First, let's simplify each multiplication:
(4 * -3/7i - i * -3/7i) - (7i * 8/2i)
Now, simplify further:
(-12/7i + 3/7i^2) - (56/2)
Remember that i^2 is equal to -1:
(-12/7i + 3/7(-1)) - (28)
Simplify the expression:
(-12/7i - 3/7) - 28
Combining like terms:
-12/7i - 3/7 - 28
Now, let's express the terms as a single fraction:
-12/7i - 3/7 - 196/7
Combine the numerators:
(-12 - 3 - 196)/7i - 3/7
Simplify further:
(-211)/7i - 3/7
The final simplified expression is:
-211/7i - 3/7
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The number of patients treated in a dental office each day was recorded for 8 days. Find the mean, median, and mode for this set of numbers.
5, 25, 25, 25, 11, 20, 25, 16
a.
mean: 25, median: 22.5, mode: 19
c.
mean: 19, median: 22.5, mode: 25
b.
mean: 19, median: 25, mode: 22.5
d.
mean: 22.5, median: 19, mode: 25
Answer:
I don't understand
Step-by-step explanation:
How many 1/10's are in 3?
There are 30 of 1/10's in the number 3
How many 1/10's are in 3?From the question, we have the following parameters that can be used in our computation:
How many 1/10's are in 3?
The above statement is a quotient expression that has the following features
Dividend = 3
Divisor = 1/10
So, we have
Quotient = Dividend /Divisor
Substitute the known values in the above equation, so, we have the following representation
Quotient = 3/(1/10)
Evaluate
Quotient = 30
Hence, there are 30 1/10's
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find a value of c so that p(z ≥ c) = 0.55.
To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.
Therefore, we have:
P(z ≥ c) = 0.55
P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45
Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.
So, c = -0.126.
Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.
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Find the value of the power 3^-4
Answer:
.0123 or 1/81
Step-by-step explanation:
pls help asap
Twenty-seven minus 3/2 of a number (x) is not more than 36. What is the number? A. x > 42 B. x ≥ -6 C. x < 3 D. x ≤ -6
Answer: B.) x ≥ -6
Step-by-step explanation: