The answer you are looking for is 9.
Solution/Explanation:
Writing out the expression first
√-3√-27
Don't worry. You are overthinking it. All you actually have to do is multiply both of them together
So,
√-3√-27=√81
Then, you will get √81.
This will simplify to 9. So, therefore, the final answer is 9.
Hope this helped you. Good day to you.
what is the step by step method to -45/9+-7x-1?
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
The function f(x) = x^3 is transformed to f(x) = 4x^3. Which statement describes the graph of the transformed function?
A. The graph was translated up by 4 units.
B. The graph was stretched horizontally by a factor of 4.
C. The graph was translated down by 4 units.
D. The graph was stretched vertically by a factor of 4.
Answer:
D
Step-by-step explanation:
You just multiplied it times 4 ....it is four times taller
Solve 6 x 3/4.
please answer i’ll give you brainliest
Answer:
\(\frac{9}{2}\) or \(4\frac{1}{2}\)
Step-by-step explanation:
\(\frac{6}{1} * \frac{3}{4}\) multiply the numerators by each other, and the denominators by each other. You will get \(\frac{18}{4}\), if you simplify \(\frac{18}{4}\), you will get \(\frac{9}{2}\) as an improper fraction, or \(4\frac{1}{2}\) as a mixed number
Answer:
9/2 or 4 1/2
Step-by
An angle is a figure formed by two _____ with a common endpoint.
A. rays
B. lines
C. shapes
D. straightedges
E. planes
Answer:
Two rays (or lines) that begin at the same point or share same endpoint. If the lines have endpoints, they're rays. If not, they're lines.
Airline travelers should be ready to be more flexible as airlines once again cancel thousands of flights this summer. The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines (seattlepi.com, July 10, 2008). Suppose the hotline is staffed for 16 hours a day. a. Calculate the average number of calls in a one-hour interval; 30-minute interval; 15-minute interval. (Round your answers to 2 decimal places.) Interval Average Number of Calls 60-minute 30-minute 15-minute b. What is the probability of exactly 6 calls in a 15-minute interval? (Round your intermediate calculations and final answer to 4 decimal places.) Probability c. What is the probability of no calls in a 15-minute interval? (Round your intermediate calculations and final answer to 4 decimal places.) Probability d. What is the probability of at least two calls in a 15-minute interval? (Round your intermediate calculations and final answer to 4 decimal places.) Probability
The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines. The hotline is staffed for 16 hours a day.
To calculate the average number of calls in different time intervals and the probability of different events related to these calls.
Part 1:
a. 60-minute interval average number of calls: 400/16 = 25 calls
30-minute interval average number of calls: 25/2 = 12.5 calls
15-minute interval average number of calls: 12.5/2 = 6.25 calls
Part 2:
b. To find the probability of exactly 6 calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of exactly 6 calls in a 15-minute interval is:
P(6 calls) = (e^-6.25)*(6.25^6)/6! = 0.0686
c. To find the probability of no calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of no calls in a 15-minute interval is:
P(0 calls) = e^-6.25 = 0.0047
d. To find the probability of at least two calls in a 15-minute interval, we can use the cumulative distribution function of the Poisson distribution. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of at least two calls in a 15-minute interval is:
P(X >= 2) = 1 - P(0 calls) - P(1 call) = 1 - 0.0047 - (e^-6.25)*(6.25^1)/1! = 0.9906
Thus, the average number of calls in a 60-minute interval is 25, in a 30-minute interval is 12.5, and in a 15-minute interval is 6.25. The probability of exactly 6 calls in a 15-minute interval is 0.0686, the probability of no calls in a 15-minute interval is 0.0047, and the probability of at least two calls in a 15-minute interval is 0.9906.
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Use synthetic division to evaluate for the indicated x value.
x³ + x²-3x +9; ƒ (-4)
f(-4)=
The first step to calculate the indicated x value using synthetic division is to assemble the synthetic division table, which will be:
Column 1 | Column 2-4 | 11 -3 91 -3 9 -63 |The first number on the top line, 1, is the coefficient of the highest degree term in the polynomial. The remaining coefficients are written in order, with 0 placeholders for any missing terms. The divisor, -4, is written to the left of the table.
How to calculate synthetic division?We must reduce the first coefficient, which is 1. Then we multiply -4 by 1 to get -4 and write that in the next coefficient, which is 1. We add the two numbers to get -3 , which we write under the next coefficient , which is -3. We multiply -4 by -3 to get 12 and write that under the last coefficient, which is 9. We add the two numbers together to get -51, which is the remainder.Therefore, we find ƒ(-4) = -51.
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Mr bailey plans to plant soybeans in 4 of every 9 acres This year he plans to farm 2,100 acres what is a reasonable estimate of the numbers of acres on which he will plant soybeans
A.60 B. 230 C.520 D.930
Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans
what is fraction?A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.
Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.
If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:
(4/9) x 2,100 = 933.33
We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.
Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.
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calculate the height of a cuboid with the following dimension a length is equal to 10 cm, height is equal to 5.5 cm, volume is equal to 385cm³
Volume is a three-dimensional scalar quantity. The height of the cuboid is 7 cm.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the volume of the cuboid is 385cm³, the length of the cuboid is 10cm, while the width of the cuboid is 5.5 cm, therefore, the height of the cuboid is,
385cm³ = 10cm × 5.5cm × H
H = 385cm³/(10cm×5.5cm)
H = 7cm
Hence, the height of the cuboid is 7 cm.
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Given that ABC has mA = 63°, b = 9, and c = 11, find the remaining side length a and angles B and C, rounded to the nearest tenth.
Given:
angle A = 63 degrees
side b = 9
side c = 11
Asked: Find angles B and C and the length of side a.
Solution:
First, we need to find the length of side a using the cosine law.
Cosine Law:
\(a^2=b^2+c^2-2bc\cos A\)Now, let's substitute the given to the formula.
\(\begin{gathered} a^2=b^2+c^2-2bc\cos A \\ a=\sqrt[]{b^2+c^2-2bc\cos A} \\ a=\sqrt[]{9^2+11^2-2\cdot11\cdot9c\cos63} \\ a=10.58819536 \end{gathered}\)Now, to find the angles B and C, we will use the sine law.
Sine Law:
\(\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\)Now, let's use the value of a in the sine law. Let's get angle B first.
\(\begin{gathered} \frac{a}{\sin A}=\frac{b}{\sin B} \\ a\sin B=b\sin A \\ \frac{a\sin B}{a}=\frac{b\sin A}{a} \\ \sin B=\frac{b\sin A}{a} \\ B=\sin ^{-1}(\frac{b\sin A}{a}) \\ B=\sin ^{-1}(\frac{9\sin63}{10.58819536}) \\ B=49.2318706 \end{gathered}\)Let's repeat the process to get angle C.
\(\begin{gathered} \frac{a}{\sin A}=\frac{c}{\sin C} \\ a\sin C=c\sin A \\ \frac{a\sin C}{a}=\frac{b\sin A}{a} \\ \sin C=\frac{c\sin A}{a} \\ C=\sin ^{-1}(\frac{c\sin A}{a}) \\ C=\sin ^{-1}(\frac{11\sin 63}{10.58819536}) \\ C=67.7681294 \end{gathered}\)Note: The sum of the internal angles of a triangle is always 180 degrees.
We can check or work if it is equal to 180 degrees, then everything is correct.
\(\begin{gathered} A+B+C=180 \\ 63+49.2318706+67.7681294=180 \\ 180=180 \end{gathered}\)ANSWER:
length of side a = 10.6 (Rounded to the nearest tenth.)
Angle B = 49.2 degrees (Rounded to the nearest tenth.)
Angle C = 67.8 degrees (Rounded to the nearest tenth.)
A repair company charges a one-time service fee and an hourly rate for the time needed to complete each job. The
table shows the amounts the company used for these charges over four consecutive years.
Charges for Repair Jobs
Year
12 3 4
Service Fee $20 $25 $30 $35
Hourly Rate $52$55 $58 $61
Part A
Using the data in the table, what would the company's service fee and hourly rate, in dollars, be in year 8? Enter
your answers in the first and second response boxes.
Part B
What total amount, in dollars, would the company charge for a job that requires 3 hours of work in year 9? Enter
your answer in the third response box.
Part A: Service Fee
Part 1: Hourly Rate
Answer:
A: Service Fee = $55
Hourly Rate = $ 73
B: $288
Step-by-step explanation:
A: the service rate increases by $5 per year, so year 8 would be $20 more than year 4 (5*4)
The hourly rate increases by $3 per year, so year 8 would be $12 more than year 4 (3*4)
B. Service fee for year 9 would be $60 ($5 more than year 8) and the hourly rate would be $76 per hour ($3 more than year 8). This gives you Service Fee + (Hourly rate * 3) = $60 + ($73*3) = $60 + $228 = $288
Petra jogs 6 miles in 42 minutes. At this rate, how long would it take her to jog 8 miles?
Answer:
56 minutes
Step-by-step explanation:
We can use proportions to solve.
6 miles 8 miles
------------ = ------------------
42 minutes x minutes
Using cross products.
6x = 42 *8
Divide each side by 6
x = 42/6 * 8
x = 7*8
x = 56
-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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The degree of the polynomial function f(x) is 4. The roots of the equation f(x) =0 are -2,-1,1 and 3. Which graph could be the graph of f(x)?
Answer:
top right
Step-by-step explanation:
roots of an equation = x-intercepts
Answer:
top right is the answer from my calculatins
Write the equation of the green line.
Answer:
y = -1/2x + 2
Step-by-step explanation:
Let the equation of the green line be y = mx + c
From the graph, (-6, 5) and (0, 2) are 2 points on the green line.
m = (2-5)/(0-(-6)) = -1/2 (using gradient/slope formula)
sub (0, 2) and m = -1/2:
2 = -1/2(0) + c
2 = c
therefore,
equation of the line: y = -1/2x + 2
On a piece of paper graph this system equation y=x-2 y= x2-6x+8
Here below is the graph. You can graph this by yourself by plotting point by point to get the same result.
2. Lin solved a quadratic equation by factoring and found one solution to be x = 3/4.
Which of the following expressions could have been one of her factors?
A.x-3
B. 4x +3
C. 3x – 4
D. 3x +4
3 1 A bottle of drink is sold at P4.85. A refund of 25 thebe is offered for returning the empty bottle. (a) Express the refund for an empty bottle as a percentage of the cost of the bottle of drink. 5 points*
Answer:
The cost of the bottle of drink is P4.85. The refund for an empty bottle is 25 thebe.
To express the refund as a percentage of the cost of the drink, we need to convert the refund to the same unit as the cost of the drink.
1 thebe = 0.038 Philippine pesos (as of June 2023)
25 thebe = 0.95 Philippine pesos
Therefore, the refund for an empty bottle is 0.95/4.85 x 100% = 19.59%
So the refund for an empty bottle is 19.59% of the cost of the bottle of drink.
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A community would like to add a brick paver border around their swimming pool. They created the following image to represent the pool with the border. A large rectangle with a length of 48 feet and a width of 28 feet. Inside of it is another rectangle with a length of 32 feet and a width of 12 feet. Part A: Find the total area of the brick paver border that surrounds the 12 ft by 32 ft pool. Show your work. (2 points) Part B: If brick pavers cost $8 per square foot, what is the total cost of the brick pavers needed for this project? Explain. (2 points)
Part A: The total area of the brick paver border is \(960\) square feet.
Part B: The total cost of the brick pavers needed for this project is $\(7,680\).
Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.
The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.
Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).
Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).
Note: The calculations provided assume that the border consists of a single layer of brick pavers.
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how much is greater is 300 than 3?
Answer:
297
Step-by-step explanation:
Subtract
300 - 3
Karen buys a sweatshirt for $30. The sales tax in her state is 7%. What is the total amount Karen will pay for the sweatshirt including sales tax?
Answer:
51
Step-by-step explanation:
25 Points! Please tell me how to answer this.
Answer: ....
Ok done. Thank to me :>
properties of exponents. the answer is 1/2^12 i need help with the work
Step-by-step explanation:
Answer in attached image...
hope it helps
(2^-1 -2^-1 × 2^-4)^2
(1/2 - 1/2 × 1/2^4)^2
(1/2 - 1/2^5)^2
(1/2 - 1/32)^2
(16/32-1/32)^2
(15/32)^2
(15/2^5)^2
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I WILL GIVE YOU BRAINLIEST! PLEASE HURRY IM TIMED.
answer choices
A. The second barrel is larger and the first barrel is emptied at a faster rate.
B. The first barrel is larger and the second barrel is emptied at a faster rate.
C. The second barrel is larger and is emptied at a faster rate.
D. The first barrel is larger and is emptied at a faster rate.
What is the solution to a system with parallel lines?
Step-by-step explanation:
no solution because they never intercept
John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 500 units of vitamins, 600 units of minerals, and 1200 calories. How many boxes of each cereal should he buy to minimize his cost?
Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:
10x + 5y ≥ 500 (minimum 500 units of vitamins)
5x + 10y ≥ 600 (minimum 600 units of minerals)
15x + 15y ≥ 1200 (minimum 1200 calories)
We want to minimize the cost, which is given by:
0.5x + 0.4y
This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:
10x + 5y = 500
5x + 10y = 600
15x + 15y = 1200
Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.
Next, we can calculate the value of the cost function at each corner point of the feasible region:
Corner point A: (20, 40) -> Cost = 20
Corner point B: (40, 25) -> Cost = 25
Corner point C: (60, 0) -> Cost = 30
Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.
4/3 times blank equals 16
Answer:
Step-by-step explanation:
let blank =x
4/3*x=16
4*x=16*3
x=48/4
x=12
Please find the Y for both of these equation
4x - y = 4
X-2y=-6
Answer:
1). y= -4+ 4x
2). y= 3+ x/2
Step-by-step explanation:
hope this helps !
If you DIVIDE both sides of an inequality by a POSITIVE number, do you need to flip the direction of the inequality?
Answer:
Step-by-step explanation:
kk g jj k easy a answer
A concert promoter sells tickets and has a marginal-profit function given below, where Upper P prime (x )is in dollars per ticket. This means that the rate of change of total profit with respect to the number of tickets sold, x, is Upper P prime (x ). Find the total profit from the sale of the first 480 tickets, disregarding any fixed costs.
Answer:
09
Step-by-step explanation: