Step-by-step explanation:
Apply exponent rule: (a. b)^n= a^n b^n
=3²(x¹⁰)²(y⁴)²
3²=9
=9(x¹⁰)²(y⁴)²
break =9(x¹⁰)²(y⁴)² into two
simplify (X¹⁰)² = (x²⁰)
simplify (y⁴)²=(y⁸)
=9(x²⁰)(y⁸)
Sam and Jennifer are saving money for college. Sam has saved $2000 and will save $60 more each week. Jennifer has saved $2500 and will save $55 more each week.
Answer: what the question
Step-by-step explanation:
Please hurry up H. E. L. P
Answer:
The first 8 cube rectangle goes in 2/4, the second 12 cube rectangle goes in the 5/6 section, the circle with 10 shaded goes in 5/6, the circle with 4 shaded goes in 2/4 and the last one with 5 shaded goes in other.
I need both answers now please and don answer if u don’t know
Answer:3048.7804878
Step-by-step explanation:
I took the same test p.s. you may need to round.
City received 3/4 inch of rain on July 31  This represents 3/10 of the total amount of rain this to received in July the equation 3/10r =3/4 can be used to find the amount of rain r in inches  The city received in July how much rain did the city receive in July ?
The amount of rain the city received in July is r = 2.5 inches
Given data ,
City received 3/4 inch of rain on July 31
Now , it represents 3/10 of the total amount of rain this to received in July
So , the equation is represented as A
Now , the value of A is
( 3/10 )r = 3/4
Multiply by 10 on both sides , we get
3r = 30/4
Divide by 3 on both sides , we get
r = 30/12
r = 2.5 inches
Hence , the city received 2.5 inches of rain
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Daily high temperatures in St. Louis for the last week were as follows: 92, 92, 93, 95, 95, 86, 95 (yesterday). a) The high temperature for today using a 3-day moving average =____ degrees (round your response to one decimal place).
The high temperature for today using a 3-day moving average is 92 degrees.
To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.
Given the daily high temperatures in St. Louis for the last week:
92, 92, 93, 95, 95, 86, 95 (yesterday)
To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.
(95 + 86 + 95) / 3 = 92
Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.
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B. Find the perimeter of the garden when the width is
8 feet.
Answer:
10 - 16
Step-by-step explanation:
the sum of the two numbers is 16 and their difference is 27 what are these two numbers demonstrated with a system of equation
Answer:Let's call the two numbers we are trying to find "x" and "y".
We know that the sum of these two numbers is 16, so we can write the equation:
x + y = 16
We also know that the difference between these two numbers is 27, so we can write the equation:
x - y = 27
Now we have two equations and two unknowns. We can use substitution or elimination to solve for x and y.
Using the substitution method, we can solve for y in the first equation:
y = 16 - x
Now we can substitute this expression for y into the second equation:
x - (16 - x) = 27
Simplifying this equation, we get:
2x - 16 = 27
Adding 16 to both sides, we get:
2x = 43
Dividing both sides by 2, we get:
x = 21.5
Now we can substitute this value for x into either of the original equations to solve for y:
y = 16 - x = 16 - 21.5 = -5.5
So the two numbers are 21.5 and -5.5.
Step-by-step explanation:
What are the coordinates of point Q?
Answer: the x coordinate is 0 and y is 3 for point q.
The actual weight of the instrument is 58kg and it’s measured weight is 54kg.Find the percent error in weight. A.)6.9% B.)7% C.)7.4% D.)7.5%
Answer:
A.) 6.9%
Step-by-step explanation:
1. Percent Error = (|lab-value- actual value|/actual value) * 100
(|54 kg - 58 kg|/58 kg) * 100
(0.069) * 100 (We multiply by 100 to convert decimal to percent)
Percent Error = 6.9%
Contradiction Club holds a yearly proof competition, with special unique prizes for first, second, third, and fourth place. If 16 students enter the competition this year, how many ways can these prizes be distributed among the students
A proof competition is held annually by Contradiction Club, with special prizes awarded for first, second, third, and fourth place. If 16 students participate in the competition this year, the awards can be allocated among the students in 120 different ways.
How many ways can five different prizes be distributed among five people?120 ways, The first person has a choice from 5 prizes, the second has a choice from 4 prizes, and so on. The awards can be awarded in 5 different ways, or 5 × 4 × 3 × 2 × 1 = 120 different ways. When each student is qualified for each reward, the number of ways that 5 prizes can be distributed to 8 students is. \(5^(8)``8^(5)``8xx5!``5 xx 8!`\) You may clear your doubts and achieve good exam results with the help of step-by-step solutions provided by specialists.For the first reward, there are 8 options. There are then 7 options for the second prize. Furthermore, there are 6 options for the third prize. As a result, there are 336 ways: 8 × 7 × 6. ∴ Total ways = 4× 3 ×2 = 24 ways = 4!To learn more about Contradiction Club refer to :
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The point 7(5, -1) is reflected first
across the x-axis and then across the y-axis. Wha
is the distance between the image and the
preimage? Explain.
Answer:
Step-by-step explanation:
7(5, -2)
Answer:
7(5,2)
Step-by-step explanation:
Sin x, cos x, tan x
Can someone explain this please...
sinx
Perpendicular/Hypotenuse15/17cosx
Base/Hypotenuse8/17tanx
Perpendicular/base15/8
Find two numbers whose sum is 52 and whose product is as large as possible? [Hint: Let x and 52-x be the two positive numbers. Their product can be
described by the function f(x)=x(52-x).]?
The two numbers whose sum is 52 and the product is maximum are 26 and 26.
How to find the sum of algebraic fractions?Finding the least common multiples of the denominator expressions can help. Then using the similar method as we use in the sum of fractions would give the sum of algebraic fractions.
We need to find the two numbers whose sum is 52 and the product is maximum.
So, the multiples of 52 are
2, 26, 4, 13,
So, here we can see that the sum of 26 to itself would be equal to 52.
26 + 26 = 52
The product is also maximum compared to others.
26 x 26 = 676
Therefore, the two numbers are 26 and 26.
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(-2,19)(10,-11) find the slope
Answer:
-5/2
Step-by-step explanation:
Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\)
\(= \frac{-11-19}{10-[-2]}\\\\=\frac{-30}{10+2}\\\\=\frac{-30}{12}\\\\=\frac{-5}{2}\)
Steve is driving 590 miles to visit the Grand Canyon. He drives at an average rate of 59 miles per hour.
Find the amount of time it will take Steve to get to the Grand Canyon.
It will take Steve
hours to get to the Grand Canyon.
Help me pls
Answer:
10 hr
Step-by-step explanation:
my answer needs to be atleast 20 words long so..........590÷59=10
Answer:
its 10
Step-by-step explanation:
The function f(x) = x2 - 6x + 9 is shifted 5 units to the right to create g(x).
What is g(x)?
A. g(x) = (x + 5)2 - 6(x + 5) +9
B. g(x) = (x2 - 6x + 9) + 5
C. g(x) = (x2 - 6x + 9) - 5
D. g(x) = (x - 5)2 - 6(x - 5) + 9
Answer:
D. g(x)=(x-5)^2 -6(x-5)+9
Step-by-step explanation:
math
Find two numbers whose sum is 36 and whose difference is 10.
Answer:
23 & 13
Step-by-step explanation:
23+13=36
Answer:
x = 23
y = 13
Step-by-step explanation:
Let the number be x and y.
As given,
x + y = 36 ---(i)
x - y = 10 ---(ii)
Adding eq(i) and eq(ii) we get,
2x = 46
x = 23
Now putting the value of x in eq(ii)
23 - y = 10
y = 13
So the two numbers are 23 and 13.
Find the length of the third side. If necessary, round to the nearest tenth. 5 9
Answer: so you have a picture of the shape or what thing we have to find the length to
Step-by-step explanation
The length of the third side is 9.4.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Applying Pythagorean theorem.
Third side = x
x² = 8² + 5²
8 x 8 = 64 and 5 x 5 = 25
So,
x² = 64 + 25
x² = 89
x = √89
x = 9.433
Rounding to the nearest tenth.
x = 9.4
Thus,
The length of the third side is 9.4.
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PLS ANSWER GIVING BRAINLEST
Answer:
a = 65p
Step-by-step explanation:
780/12 = 65
1,040/16 = 65
1,235/19 = 65
A backpack that normally sells for $39 is on sale for $25. Find the
percent of change.
Answer: To find the discount, simply multiply the original selling price by the %discount:
ie: 39 x 33/100= $12.87
So, the discount is $12.87.
Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:
ie: 39- 12. 87= 26.13
So, the sale price is $26.13
-f +1/6uA=4; solve for a
Answer:
-1/6f
Step-by-step explanation:
-f+1/6uA=4=
write down a formula connecting the given letters. number u is equal to the square of a number v minus w.
Elmer spent the day at the mall. First, he bought five rabbits for $10 each. Later, he bought four cupboards for $70 each. After that, he found a twenty dollar bill. Also, he returned one rabbit. Write the total change to Elmer's funds as an integer.
Answer:
-300
Step-by-step explanation:
Step 1: Find the amount Elmer's funds decreased after purchasing the rabbits:
Let x represent Elmer's funds.
Since Elmer bought five rabbits for $10 each, he lost $10 5 times.
x - (10 * 5)
x - 50
Thus, Elmer lost (spent) $50 for the 5 rabbits.
Step 2: Find the amount Elmer's funds decreased after purchasing the cupboards:
Since Elmer bought four cupboards for $70 each, he lost $70 4 times:
x - (50 + (70 * 4))
x - (50 + 280)
x - 330
Thus, after purchasing the rabbits and cupboards, Elmer lost $330.
Step 3: Find the amount Elmer's funds increased after finding the twenty-dollar bill:
Since Elmer found a twenty-dollar bill, he gained $20
x - (330 + 20)
x - 310
Step 4: Find the amount Elmer's funds increased after returning one rabbit:
Since Elmer returned one rabbit, he gained $10:
x - (310 + 10)
x - 300
Thus, Elmer's funds changed totally by -$300.
Putting all the information together, we have:
x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10
x - 50 - 280 + 30
x - 330 + 30
x - $300
What Inequality is graphed below?
A. x < 28 B. x _< 28 C. x > 28 D. x _> 28
Answer:
x\(\leq\)28
Step-by-step explanation:
The point at 28 is solid, so it is included in the graph, so x=28, The line extends in the negative direction, with an arrow, is given by x<28. Taken together, x\(\leq\)28.
Diane's living room is 12 feet wide and 20 feet long. She wants to
put a border around the top of the room. The cost of the border is
$1.19 per foot. How much will it cost to buy enough of the border
to go around the room?
The most appropriate choice for perimeter of rectangle will be given by
It costs $76.16 to buy enough of the border to go around the room.
What is perimeter of a rectangle?
The total length of the outline of a rectangle is called perimeter of rectangle.
If the length of a rectangle is l units and breadth of a rectangle is b units, then perimeter of rectangle will be given by
\(2 \times (l+b)\) units
Here,
Length of room = 20 feet
Width of room = 12 feet
Perimeter of room = \(2 \times (20 + 12)\)
= \(2 \times 32\)
= \(64\) feet
cost of 1 foot of border = $1.19
cost of 64 foot of border = $\(1.19 \times 64\)
= $\(76.16\)
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conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level.
At the 0.05 significance level, the hypothesis test supports the claim that the mean amount of juice in the 16-ounce bottles is less than 16.3 ounces, based on the sample data and calculations.
To test the claim that the mean amount of juice in the 16-ounce bottles is less than 16.3 ounces, we can perform a one-sample t-test.
State the null hypothesis (H₀) and the alternative hypothesis (H1):
- Null hypothesis (H₀): The mean amount of juice in the 16-ounce bottles is equal to or greater than 16.3 ounces (μ >= 16.3).
- Alternative hypothesis (H₁): The mean amount of juice in the 16-ounce bottles is less than 16.3 ounces (μ < 16.3).
Choose the significance level. In this case, the significance level is 0.05.
Calculate the test statistic. We'll use the formula for the one-sample t-test:
t = (\(\bar{x}\) - μ) / (σ / √(n))
where \(\bar{x}\) is the sample mean, μ is the hypothesized mean, σ is the population standard deviation, and n is the sample size.
Sample mean (\(\bar{x}\)) = 16.14 ounces
Hypothesized mean (μ) = 16.3 ounces
Population standard deviation (σ) = 0.9 ounces
Sample size (n) = 70
Substituting these values into the formula:
t = (16.14 - 16.3) / (0.9 / √(70))
t ≈ -1.69
Determine the critical value or p-value. Since we have a left-tailed test, we'll find the critical value using the t-distribution with (n - 1) degrees of freedom (df = 69) and a significance level of 0.05. Looking up the critical value in the t-table, we find it to be approximately -1.666.
Compare the test statistic with the critical value. Since the test statistic (-1.69) is less than the critical value (-1.666), it falls in the critical region.
Make a decision and interpret the results. Since the test statistic falls in the critical region, we reject the null hypothesis. This means that there is sufficient evidence to support the claim that the mean amount of juice in the 16-ounce bottles is less than 16.3 ounces.
Therefore, at the 0.05 significance level, the claim that the mean amount of juice for all 16-ounce bottles is less than 16.3 ounces is supported.
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Complete Question:
Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level. Round all amounts and standard scores to two decimal places. A manufacturer claims that the mean amount of juice in its 16 ounce bottles is 16.3 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The mean volume of juice for a random sample of 70 bottles was 16.14 ounces. nbspTest whether the claim that the mean amount of juice for all 16 dash ounce bottles is less than 16.3 ounces is supported or not supported. Assume that sigma equals 0.9 ounces.
supported or not supported?
5x+11x using distributive property
\(5x+11x=16x\)
What is Distributive Property?To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Distributive Property:
\((5x+10x)+(5x+1x)\)
/ \ / \
\((16x)\) \((6x)\)
Therfore, by using the distributive property, \((5x+10x)+(5x+1x)\), We get \(16x\).
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Can someone help (image below)
Answer: -2x^2+16x-30
Step--by-step explanation:
Some one help me plz??????
Answer: 30
Step-by-step explanation: 26 rounded to the nearest ten is 30!
I know this will not help!
4 Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (-1,8
Answer:
y = -2x + 6
Step-by-step explanation:
Slope-intercept form: y = mx + b
Given:
Slope(m): -2
Point: (-1, 8)
To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).
Since we already know the slope is -2, we can move on to finding the y-intercept. To find the y-intercept, input the values of the slope and the point into the equation format and solve for b:
y = mx + b
8 = -2(-1) + b
8 = 2 + b
6 = b
The y-intercept is 6.
Now that we know the slope and the y-intercept, we can write the equation:
y = -2x + 6