The expression [tex](-5/7)^8*(-5/7)^9[/tex] simplifies to [tex](-5/7)^{17[/tex] by adding the exponents, as multiplication of powers with the same base results in adding the exponents.
To simplify the expression [tex]\((-5/7)^8 \cdot (-5/7)^9\)[/tex], you can add the exponents since the bases are the same. When you multiply two powers with the same base, you add their exponents. So, [tex]\(8 + 9 = 17\)[/tex]. Therefore, the expression simplifies to [tex]\((-5/7)^{17}\)[/tex]. When multiplying powers with the same base, like [tex]\((-5/7)^8\)[/tex] and [tex]\((-5/7)^9\)[/tex], you add their exponents. So, [tex]\(8 + 9 = 17\)[/tex].
This means that when you multiply these two expressions together, you end up with the base raised to the power of 17, which is [tex]\((-5/7)^{17}\)[/tex]. This is a fundamental property of exponents, where you can combine like terms to simplify expressions. In this case, the final expression represents the product of the two original expressions raised to the power of 17.
So, the simplified expression is [tex]$(-5 / 7)^{17}$[/tex]
To simplify the expression [tex]$(-5 / 7)^8 \cdot(-5 / 7)^9$[/tex] we can combine the bases and add the exponents since they have the same base:
[tex]$\begin{gathered}(-5 / 7)^8 \cdot(-5 / 7)^9=(-5 / 7)^{8+9} \\ =(-5 / 7)^{17}\end{gathered}$[/tex]
So, the simplified expression is [tex]$(-5 / 7)^{17}$[/tex]
What is 464.1587734 in fraction form
Answer:
464.1587734 = 464 793867/5000000
In which table is Y a linear function of X?
Pls help
Answer:
C
Step-by-step explanation:
When graphed the only one thats a straight line is C.
What is the first step in evaluating the expression 3 × (5 + 4) – 27 ÷ 9
Answer:distribute the 3x
Step-by-step explanation:distribute the 3x to the 5 and 4
Angel is trying to decide which parking garage to use. Polite's parking charges a flat fee of $2 plus $4 per hour. Gray's garage charges a flat fee of $8 plus $2 per hour.
For how many hours with the cost of parking in either garage be the same, and what will the cost be?
[tex]\text{Turn the scenarios into equations:}\\\\\text{Polite's parking:}\\\\y=4x+2\\\\\text{Gary's garage:}\\\\y=2x+8\\\\\text{To find when the parking costs the same, solve the expressions together:}\\\\4x+2=2x+8\\\\\text{Solve for x:}\\\\4x+2=2x+8\\\\\text{Subtract 2x from both sides}\\\\2x+2=8\\\\\text{Subtract 2 from both sides}\\\\2x=6\\\\\text{Divide by 2}\\\\x=3\\\\\boxed{\text{In 3 hours, the cost will be the same}}\\\\[/tex]
[tex]\text{To find the cost, plug in 3 to x in one of the equations:}\\\\y=4(3)+2\\\\y=12+2\\\\y=14\\\\\boxed{\text{The cost would be \$14}}[/tex]
Will mark brainliest! Pls help me on these 2 questions (2nd question is related to the 1st question)
Answer:
the probability of her selecting a red card would be 13/52. The probability of her selecting a king would be 4/52. the probability of her not selecting a red card would be 39/52.the probability of her not selecting a king would be 48/52
Step-by-step explanation:
Mr. Lloyd wants to buy a new television, but he doesn't have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?
the first one doesnt make sense i think the 3rd one is correct
An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she orders ten Falafel wraps, twenty-five Turkey BLT sandwiches, and fifteen hot Ham and Swiss paninis for a total of $361.25. The next month, she orders fifteen Falafel wraps, thirteen Turkey BLT sandwiches, and twenty-two hot Ham and Swiss paninis for a total of $342.50. For the third month, she orders eight Falafel wraps, twenty-two Turkey BLT sandwiches, and twenty hot Ham and Swiss paninis for a total of $359. How much does each sandwich cost?
The solution to the system of equations will provide the cost of each sandwich type: Falafel wrap, Turkey BLT sandwich, and hot Ham and Swiss panini.
To determine the cost of each sandwich, we can set up a system of equations based on the given information.
Let's use the variables x, y, and z to represent the cost of one Falafel wrap, one Turkey BLT sandwich, and one hot Ham and Swiss panini, respectively.
From the first month's order, we can establish the equation:
10x + 25y + 15z = 361.25.
From the second month's order, we have the equation:
15x + 13y + 22z = 342.50.
And from the third month's order, we have:
8x + 22y + 20z = 359.
By solving this system of equations, we can find the values of x, y, and z, which represent the cost of each sandwich.
The solution to the system of equations will provide the cost of each sandwich type: Falafel wrap, Turkey BLT sandwich, and hot Ham and Swiss panini.
For more such answers in cost
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A recipe for 48 biscuits uses 2/2/3 cups of biscuit mix. How many biscuits are made from each cup of biscuit mix?
To determine how many biscuits are made from each cup of biscuit mix, divide the total number of biscuits (48) by the total cups of biscuit mix (2 and 2/3) to get 18 biscuits per cup.
The student asked how many biscuits are made from each cup of biscuit mix if a recipe for 48 biscuits uses 2 and 2/3 cups of biscuit mix. To find this out, we need to calculate the number of biscuits per cup of mix.
We start by writing the known ratios that one recipe of 12 biscuits requires 2 cups of flour, and we then scale this to 48 biscuits using unit conversions based on the ratios.
First, we calculate the number of biscuits made per one cup:
Divide the total number of biscuits by the total cups of biscuit mix used.
48 biscuits \/ (2 + 2/3) cups = 48 biscuits \/ (8/3) cups.
Multiply the number of biscuits by the reciprocal of cups:
48 biscuits * (3/8) cups = 18 biscuits per cup.
Therefore, one cup of biscuit mix yields 18 biscuits.
Some help here?
Whats the value of Y?
Jake's test scores for the first term of chemistry class were 78, 68, 73, 94, and 62. Which of the measures of central tendency would make Jake's test scores seem as high as possible? *
Mean
Median
Mode
Range
Answer:
Mean
Step-by-step explanation:
For the mean, his score is a 75 (78+68+73+94+62/5)
For the median, his score is a 73 (in order: 62 68 73 78 94, the middle number is the median)
There is no mode because there are no repeating numbers
For the range, his score is a 32. (highest - lowest: 94-62)
This should be right, hope it helps. :)
Answer:
Mean is the highest average out of all = 75
Step-by-step explanation:
The "range" of a list a numbers is just the difference between the largest and smallest values.
Ans The range = 94-62 = 32
Find the mean, median, mode, and range for the following list of values:
62, 68, 73, 78, 94
The mean is the usual average, so you add and then divide:
(62, 68, 73, 78, 94 ) ÷ 5 = 75
Ans = mean of 75
The median is the middle value, so first I'll have to rewrite the list in numerical order:
62, 68, 73, 78, 94
Ans = median of 73
There are five numbers in the list, so the middle one will be the 3rd number.
The mode is the number that is repeated more often than any other, so 70 if data was in 10's would be the mode.
range: 32
mean: 75
median: 73
mode: 0
30-3n = 10
n = what?
Answer:
n = 20/3
Step-by-step explanation:
30 = 3n + 10
20 = 3n
n = 20/3
Answer:-20/3
Step-by-step explanation:
30-3n=10
Subtract both sides by 30
-3n=-20
Divide both sides by -3
n = -20/3
Help please!!!!!.....
Answer:
294
Step-by-step explanation:
7*7*6=294
On which spinner do you have a better probability of landing on green?
Answer:
Spinner 2
Step-by-step explanation:
Spinner 2 because it takes a greater space on the circle graph
Subtract 7x + 4y − 2z from 4x + 2y.
Final answer:
To subtract 7x + 4y - 2z from 4x + 2y, change the signs of the second polynomial and combine like terms, yielding a result of -3x - 2y + 2z.
Explanation:
To subtract the expression 7x + 4y − 2z from 4x + 2y, we perform subtraction of polynomials by changing the sign of each term in the expression being subtracted and then combining like terms.
Change the signs of each term in the second polynomial: −(7x) − (4y) + (2z).Add this result to the first polynomial: (4x + 2y) + (− 7x − 4y + 2z).Combine like terms: (4x − 7x) + (2y − 4y) + 2z.Simplify each group of like terms: − 3x − 2y + 2z.Therefore, the result of the subtraction is − 3x − 2y + 2z.
Find the value of the expression.
y3 + x
for x = 6 and y = 1
Answer:
7
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify
Answer:
7
Step-by-step explanation:
Which equation can be used to find the volume of the cylinder?
d = 6 cm
h = 14 cm
- (3) (14)
V- 16) (14)
OV= (3) (14)
V= 142(6)
Answer: C
Step-by-step explanation:
Cz i think so
When dividing 8,164 by 78.5, what is the place value of the last digit in the quotient?
Answer:
4
Step-by-step explanation:
8164/78.5
(8164×2)/((78.5×2)
= 16328/157
= 104
Answer:
ones
Step-by-step explanation:
this is the answer!!!
Solve for a:
12a - 8 = 11a + 3
Answer:
a=11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
12a-8 = 11a +3
First we need to get the variables on one side and the constants on the other side.
So subtract 11a from both sides.
12a-11a -8 = 3
1a -8 = 3 now add 8 to each side
1a = 3+8
1a = 11
Eleven less than a number is more than seventeen. Write an inequality and solve
Answer:
n-11>17
Step-by-step explanation:
PLEASE NEED HELP DUE TONIGHT!!!!!
Angronius of Nuceria has a height of 105 inches. The mean height for all World Eaters Legion soldiers is 96.5 inches and the standard deviation of the World Eaters Legion soldiers heights is 3.6 inches.
What is the z score for Angronius's height? Round to the nearest hundredth.
Must show work to receive full credit!
What is the meaning of the Z-Score you found in Problem 1? Explain how Angronius compares to the normal World Eaters soldier.
Answer:
Z-score=2.361
Hence Angronius height about 2.3 S.D above the Eaters Legion soldiers
Step-by-step explanation:
Given:
Angronius's mean =105 inches
Eaters Legion soldiers mean =96.5 inches.
S.D for Eaters Legion soldiers =3.6
To Find:
What is the z score for Angronius's height
Solution:
Here z-score indicate the value of data above or below the given value hence ,it determines the given data lies how many S.D above the mean or below the mean
Z- score tell that How many S.D your data is away from mean.
So
Z-score for Angronius =105-96.5/3.6
=8.5/3.6
=2.366
Hence it tells that Angronius height about 2.3 S.D above the Eaters Legion soldiers
i.e 2.36*3.6= 8.5 above the Eaters Legion soldiers height
i.e 105 -96.5 =8.5
This value represents how many S.D did angronius are above the height of Eaters Legion Soldiers.
The z-score for Angronius's height is 2.36, indicating that he is significantly taller than the average World Eaters Legion soldier, standing 2.36 standard deviations above the mean height.
To calculate the z-score for Angronius's height, we use the formula: [tex]z = (X - [\mu]) / [\sigma][/tex], where X is Angronius's height, [tex][\mu][/tex] is the mean height of the World Eaters Legion soldiers, and [tex][\sigma][/tex] is the standard deviation of their heights.
Using the provided values, we have:
z = (105 - 96.5) / 3.6 = 2.36.
Therefore, the z-score for Angronius's height is 2.36 when rounded to the nearest hundredth. This means that Angronius is 2.36 standard deviations above the mean height of all World Eaters Legion soldiers. In terms of height, Angronius is significantly taller than the average World Eaters soldier.
The sum of two numbers is −36. One number is 106 less than the other. Find the numbers.
Answer:
x= -71
y= 35
Step-by-step explanation:
To solve this problem you have to creat two different equations.
The first would just be the sum of the two numbers. Since they are two different numbers you will need to pick two different variables to represent them. I chose x & y.
x+y= -36
Your second equation is based off of the second sentence. It tells you that one of your numbers(I'm going to use y) needs to be subtracted by 106 in order to equal the other number (x).
x= y-106 This is how you'd write it out. Since we have one variable by itself we can use substitution to solve for y. This means you take everything (in the second equation only) on the right side of the equal side of the equal sign adn plug it in for x in your first equation.
(y-106)+y= -36 Now solve for y by adding your like terms together. The parenthesis are only there to show you what I replaced x with.
2y-106= -36 Now add the 106 over to the other side.
+106 +106
2y=70 Finally divide by 2 to get what y equals.
y=35
To find x all you do is plug 35 into one of your equations. I'm goignto use the first one to save time.
x+35= -36 Subtract the 35 over and you'll have x.
x= -71.
Which of the following is the third value for the data set below
Answer:
Step-by-step explanation:
Ur mom
Sandra’s mother said she can take a break for homework for 1/3 of an hour or for 15 minutes. Which should she choose?
what is the final amount if 2024 is increased by 17% followed by a 15% decrease give your answer rounded to DP.
2024 + 0.17(2024) = 2368.08
2368.08 - 0.15(2368.08) = 2012.868
The final amount is 2012.868.
Hope this helps!! :)
Answer:
2012.9
Step-by-step explanation:
17% increase of 2024
17/100 × 2024
34408/100
344.08
344.08+2024
2368.08
15% of 2368.08
15/100 ×2368.08
0.15×2368.08
355.212
Since it's a decrease
2368.08-355.212
=2012.868~2012.9
So the final answer is 2012.9
Aseem and Stana are building model cars. Stana's car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20 inches. Write an equation to determine the lengths of Aseem's and Stana's cars.
2x − 5 + x = 20
5 − 2x + x = 20
2x − 5 = 20
5 − 2x = 20
Answer:
2x − 5 + x = 20
Step-by-step explanation:
Let Aseem's car length be x
Then, length of Stana's car is:
2x - 5
Sum of lengths:
2x - 5 + x = 20
Final answer:
The correct equation that represents the lengths of the model cars Aseem and Stana are building is '2x - 5 + x = 20,' where x represents the length of Aseem's car.
Explanation:
The equation to determine the lengths of Aseem's and Stana's model cars is 2x − 5 + x = 20.
We can define the variable x as the length of Aseem's car, and since Stana's car is 5 inches less than twice the length of Aseem's car, Stana's car length is represented as
2x - 5.
The sum of the lengths of both cars together is 20 inches.
Therefore, the equatio becomes:
(2x - 5) + x = 20
i.e. 2x - 5 -x = 20
This is a triangle with exactly 2 congruent sides. I need it hurry
Answer:
isosceles triangle
Step-by-step explanation:
helpppp thank youuuu
Answer:
12
Step-by-step explanation:
The square root of 144 is 12 and the square root of y^2 is y so y=12
Answer:
12
Step-by-step explanation:
The square root of 144 is 12 c:
y = 12
Factor 10a3b - 5a2b2 - 15ab
Answer:
=-5ab
Step-by-step explanation:
Rewrite: -15 as 3*5
Rewrite: -5 *2*2 as 1*5
Rewrite: 10 *3 as 6*5
=6* 5ab +4 *5ab +3ab
Factor out common term 5ab
=5ab(6-4-3)
=-5ab
23 PTS!! Please Help!!!
Which point represents the ordered pair (Negative 2 and one-fourth, two-thirds)? On a coordinate plane, point S is at (negative 2 and one-fourth, two-thirds), point Q is at (negative 2 and one-fourth, 1 and one-third), point R is at (negative 1 and two-thirds, 1 and one-third), and point T is at (negative 1 and two-thirds, two-thirds).
A. point Q
B. point R
C. point S
D. point T
Answer:
(C)Point S
Step-by-step explanation:
Given the ordered pair of the following points on a coordinate plane:
[tex]S(-2\dfrac{1}{4},\dfrac{2}{3})\\\\Q(-2\dfrac{1}{4},1\dfrac{1}{3})\\\\R(-1\dfrac{2}{3},1\dfrac{1}{3})\\\\T(-1\dfrac{2}{3},\dfrac{2}{3})[/tex]
The point which represents the ordered pair [tex](-2\dfrac{1}{4},\dfrac{2}{3})[/tex] is point S.
Answer:
the answer is C
Step-by-step explanation:
In a poll of Mr. Briggs's math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school.
A. Explain why this is not a valid conclusion
B. Suggest a better method of determining what subject is most popular
Answer:
1) biased sample
2) random sampling
Step-by-step explanation:
Since the results are based on feedback of students in only one class, it's not a good representative of the entire student body.
Also, since it's a math class there will be a bias.
Better method would be randomly selecting students from the entire school students list and take their feedback
Answer:
B
Step-by-step explanation: