Answer:
The answer is A
Step-by-step explanation:
The first term of an arithmetic sequence is 8. The 7th term is 38. What is the common difference?
common difference (d) = type your answer
Answer:
Step-by-stepidf explanation:
PLZ ANSWER FAST (40 POINTS + BRAINLIEST)
Rewrite the expression y 2/3 as a radical expression.
Answer:
\(\sqrt[3]{y^2}\)Step-by-step explanation:
Rewrite the expression y^2/3 as a radical expression.
if n is a positive integer that is greater than x and a is a real number or a factor, then aˣ/ⁿ = \(\sqrt[n]{a^x}\)
use the rule to convert y²/₃ to a radical
where a =, x =, and n =.
therefore, the radical expression is \(\sqrt[3]{y^2}\)
A class contains 5 girls and 7 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?
The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.
Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.
Determine the total number of students in the class. That is 5 + 7 = 12.
Determine the number of ways to select two students from the class.
Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.
In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).
C(12, 2) = 12! / (2!(12-2)!) = 66.
Determine the number of favorable outcomes.
In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.
To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):
Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.
So, the probability of selecting a girl and a boy for the class committee is 5/6.
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What is the total length of all meteors that are 1 6/8 inches?
Answer:
3 4/8
Step-by-step explanation:
What is the value of 1 in 2.391
Answer:
0.001 (one thousandth)
Step-by-step explanation:
hope this helps
Answer:
1 thousandth
Step-by-step explanation:
2 is in the ones place, 3 is in the tenths place, 9 is in the hundredths place, 1 is in the thousandths place.
Hope it helps!
Describe a compound event that has a probability between 50% and 80%.
Answer:
r=4.5 I hope this helped!
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
Lucy spent 2 1/4 hour riding her bike. She then spent 3 3/4 hour playing video games. How much longer did she spend playing video games then riding her bike
Answer: 1 \(\frac{1}{2}\)
Step-by-step explanation: Turn the mixed fraction into improper fraction, which is 9/4 and 15/4. Subtract 15/4 and 9/4 to get 3/2. Convert 3/2 into mixed number to get 1 1/2
hope it helps!!
What's the total price of a $75 dinner, with an 18% tip.
Answer:
Step-by-step explanation:
Bill: $75.00
Tip: $13.50
Total: $88.50
I hope it helps and have a good day
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and
K(6, 10).
O (7,6)
O (1.4)
O (14, 12)
O (2.8)
The formula for the area of a parallelogram is A = bh,
where b is the base and h is the height.
(x-4) cm
(2x2 + 2x-6) cm
(Not drawn to scale)
Answer:
B) 2x³ – 6x² – 14x + 24 square centimetersStep-by-step explanation:
The question is incomplete and lacks the required diagram. Find the diagram attached. Here is also the complete question.
"The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. Which simplified expression represents the area of the parallelogram? –4x3 + 14x – 24 square centimeters 2x3 – 6x2 – 14x + 24 square centimeters –4x3 – 14x + 24 square centimeters 2x3 + 6x2 + 14x + 24 square centimeters"
Area of a parallelogram = Base * Height.
Given the height of the parallelogram = (x-4)cm
Base = (2x² + 2x-6) cm
Area of the parallelogram = (x-4)cm * (2x² + 2x-6) cm
Area of the parallelogram = (x-4)(2x²+2x-6)
Area of the parallelogram = 2x³+2x²-6x-8x²-8x+24
= 2x³+2x²-8x²-6x-8x+24
= (2x³-6x²-14x+24)cm²
In an ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even. (Round your answer to four decimal places.) (b) What is the probability that a subject would guess more than 20 correct in a series of 36 trials?
The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001
How to find the pobability that a subject would guess more than 20 correct in a series of 36 trialsIn a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.
Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.
The probability of guessing more than 20 correct is:
P(X > 20) = 1 - P(X ≤ 20)
Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).
Therefore: P(X > 20) = 1 - 0.9999 = 0.0001
So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).
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I NEED AN ANSWER!! PLEASE
Solve for x: 5(x + 3) = 4(x − 3) (1 point) −18 −27 −3 −6
Answer:
\(-27\)
Step-by-step explanation:
\(5(x+3)=4(x-3) \\ \\ 5x+15=4x-12 \\ \\ x+15=-12 \\ \\ x=-27\)
5. Kiran is solving the equation Vx+ 2 – 5 = 11 and decides to start by squaring both sides. Which equation results if Kiran squares both sides as his first step? A. x + 2 – 25 = 121 B. x + 2 + 25 = 121 х C. x + 2 – 107x + 2 + 25 = 121 = х = D. x + 2 + 107x + 2 + 25 = 121 (From Unit 3, 9.)
The equation that results if Kiran squares both sides as his first step is gotten as; x + 2 - 10√(x + 2) + 25 = 121
How to simplify algebra?We want to simplify the expression;
[√(x + 2)] - 5 = 11
Squaring both sides is;
([√(x + 2)] - 5) * ([√(x + 2)] - 5) = 11 * 11
⇒ x + 2 - 10√(x + 2) + 25 = 121
Thus, the correct answer is;
x + 2 - 10√(x + 2) + 25 = 121
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What is the ratio of the number of 8 nickels to the number of 10 dimes?
Answer:
2/5
Step-by-step explanation:
start by 8*5 then 10 times 10 then simplify
Answer:
2/5
Step-by-step explanation:
A nickel is worth= 5 cents.
A dime is worth= 10 cents.
So ratio=8×5/10×10
=40/100
=2/5
So the ratio is 2/5
Diego, Kiran, Elena, and Mai were raising money for a school trip. Diego raised $40.00. Kiran sold 2 1/2 times as much lemonade as Diego. Elena sold 7/8 as much lemonade as Diego. Mai sold 2/3 as much lemonade as Diego. Write the names of the students in order of who raised the least amount of money to who raised the most amount of money:
Answer:
Mai, Elena, Diego, and Kiran.
Explanation:
• Diego raised $40.00.
Kiran sold 2 1/2 times as much lemonade as Diego, therefore the amount raised by Kiran will be:
\(\begin{gathered} =\frac{5}{2}\times40 \\ =\$100 \end{gathered}\)Elena sold 7/8 as much lemonade as Diego, therefore the amount raised by Elena will be:
\(\begin{gathered} =\frac{7}{8}\times40 \\ =\$35 \end{gathered}\)Mai also sold 2/3 as much lemonade as Diego, therefore the amount raised by Mai will be:
\(\begin{gathered} =\frac{2}{3}\times40 \\ =\$26.67 \end{gathered}\)Therefore, the names of the students in order of who raised the least amount of money to who raised the most amount of money:
• Mai ($26.67), Elena ($35), Diego ($40) and Kiran ($100)
•
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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What’s the answer to my question need help
9514 1404 393
Answer:
7 2/3
Step-by-step explanation:
The even number of minus signs cancel, so the problem is an addition problem.
5 2/5 +2 4/15
The fractions can be added only when they have a common denominator. 15 works for that purpose.
5 6/15 +2 4/15 = (5 +2) +(6/15 +4/15) = 7 10/15
The fraction 10/15 can be reduced by removing a common factor of 5 from numerator and denominator.
= 7 2/3
Using a calculator or statistical software, find the linear regression line for the data in the table below.
Using the regression with the values rounded to the nearest hundredth, find the value of y at x=7. Round your answer to the nearest hundredth if necessary.
x y
0 2.83
1 3.33
2 6.99
3 8.01
4 7.62
5 7.66
Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.
To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.
Using the provided data, the linear regression line equation is:
\(\[ y = 1.3642x + 3.2324 \]\)
To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:
\(\[ y = 1.3642(7) + 3.2324 \]\)
Simplifying the equation, we get:
\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)
In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.
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MATH PLEASE HELP ASAP
Answer:
1. X=7
2. x=2
Step-by-step explanation:
Sara gave 1/4
of her money to each of her 3 sisters. What fraction of her money
did she give away?
Answer:
3/4
Step-by-step explanation:
3*(1/4)=3/4
What is StartFraction 7 Over 9 EndFraction divided by one-third?
A fraction bar labeled 1. Under the 1 are 9 boxes containing one-ninth. Under the 9 boxes are 3 boxes containing one-third.
2
2 and StartFraction 1 Over 9 EndFraction
2 and one-third
3
Fractions are numbers represented by the quotients of two integers
The result of 7/9 divided by 1/3 is 7/3
How to determine the quotientThe division expression is given as:
\(\frac 79 \div \frac 13\)
Rewrite the division expression as a product
\(\frac 79 * \frac 31\)
Evaluate the product in the above expression
\(\frac 73\)
So, we have:
7/9 \(\div\) 1/3 = 7/3
Hence, the result of \(\frac 79 \div \frac 13\) is 7/3
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Answer: it's B
Step-by-step explanation:
According to the bar graph above how many people sleep six hours or more?
Answer:
D
Step-by-step explanation:
6-8:35
8-10:25
35+25=60
The correct answer is D.
Solve the equation 6x + 2x - 5= 19
Answer:
x = 3
Step-by-step explanation:
6x + 2x - 5= 19
8x -5 = 19
8x = 24
x = 3
Answer:
x = 3
Step-by-step explanation:
6x + 2x - 5 = 19
Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, combine like terms:
(6x + 2x) - 5 = 19
(8x) - 5 = 19
Next, isolate the variable, x. First, add 5 to both sides:
8x - 5 (+5) = 19 (+5)
8x = 19 + 5
8x = 24
Next, divide 8 from both sides:
(8x)/8 = (24)/8
x = 24/8
x = 3
3 is your answer for x.
~
Suppose that 2 were subtracted from each of the values in a data set that
originally had a standard deviation of 3.5. What would be the standard
deviation of the resulting data?
A. 2
B. 3.5
C. 1.5
D. 5.5
Answer:
I would pick C.
The function h(t) = −5t2 + 15t shown in the graph models the supporting structure of a bridge:
The domain of the function h(t) is 0 ≤ t ≤ 3 since it has the formula h(t) = 5t2 + 15t.
Given,
The function h(t) = 5t2 + 15t will have real values when supplied now.
h(t) ≥ 0
So, h(t) ≥ 0
⇒ −5t² + 15t ≥ 0
factoring, there is
-5t(t - 3) ≥ 0
5t(t - 3) ≤ 0
t(t - 3) ≤ 0
t ≤ 0 and t - 3 ≤ 0
t ≤ 0 and t ≥ 3
If t is less than zero, say -1, then t(t - 3) = -1(-1 - 3) = -1(-4) = 4 ≥ 0
If the value of t is 2, then t(t - 3) = 2(2 - 3) = 2(-1) = -2 ≤ 0.
t(t - 3) = 4(4 - 3) = 4(1) = 4 ≥ 0 for t ≥ 3, let's assume.
The domain of t is 0 ≤ t ≤ 3 because we need t(t - 3) 0.
Therefore, the range of the function h(t) is 0 ≤ to ≤ 3
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An item costs S430 before tax, and the sales tax is $17.20.
Find the sales tax rate. Write your answer as a percentage.
Answer:
Step-by-step explanation:
430
x4%
_________
$17.20+ $430= $447.20
a. Find the derivative function f' for the function f.
b. Determine an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a.
The derivative function f' for the function f is f'(x) = -10 / (5x+3)^2 and Equation of the line tangent to the graph of f is 5x+2y+7=0.
Given function:
f(x) = 2/5x+3
a.
f'(x) = d/dx(2/5x+3)
According to power rules:
1/u = -1/u^2
= 2(1/(5x+3)^2) d/dx(5x+3)
= 2*5 / (5x+3)^2
= -10/(5x+3)^2
Hence derivative function f' for the function f is f'(x) = -10 / (5x+3)^2.
b.
(a,f(a)) and a = -1
f(-1) = 2/5(-1)+3
= 2/-5+3
= 2/-2
= -1
point (-1,-1)
slope f'(x) = -10/(5x+3)^2
f'(-1) = -10/(5(-1)+3)^2
= -10/(-2)^2
= -10/4
m = -5/2
Equation of the line is y - y1 = m(x-x1)
y - (-1) = -5/2(x-(-1)
2(y + 1) = -5x - 5
5x + 2y + 2 + 5 = 0
5x+2y+7=0.
Equation of the line tangent to the graph of f is 5x+2y+7=0.
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f(x)=3^x+1 and g(x) = 2x-4, find f(2) - g(-1)
Answer:
16
Step-by-step explanation:
3^x +1 = f(X)
2x-4 = g(x)
find f(2)-g(-1)
we substitute in function f(X) by value (2), and in function g(X) by value (-1)
1. 3^x +1 becomes 3^2+1 =9+1=10
2. 2(-1)-4= -2-4=-6
then f(2)-g(-1)
= 10-(-6) =10+6=16
4.1.3 Bathu Sneakers have been looking into different shoebox sizes: a large box for male shoes and small box for female shoes. The cost of the cardboard to make the boxes is 0,502 cents/cm². Calculate the percentage savings Bathu Sneakers will make if the smaller box is used compared to the normal larger box. Larger Box Total Surface Area = 4 093 cm² 19 cm 26 cm 34,5 cm Smaller Box Total Surface Area = 3 034 cm² 25 cm 17 cm 26 cm (6)
Answer:
Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.
For the larger box:
Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²
Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)
For the smaller box:
Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²
Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.
Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)
The difference in cost between the larger and smaller boxes is:
20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)
The percentage savings can be calculated as follows:
Percentage savings = (difference in cost / cost of larger box) * 100%
= (5.33718 / 20.55986) * 100%
= 25.98%
Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.