Final answer:
To solve the expression 2(√(80/5) - 5), we simplify the square root first, then subtract 5, and finally multiply by 2, which results in the solution -2.
Explanation:
To solve the expression 2(√(80/5) - 5), let's first simplify the square root and the division inside it.
We have √(80/5) = √16 = 4, since 80 divided by 5 is 16, and the square root of 16 is 4.
Next, we subtract 5 from 4: 4 - 5 = -1.
Finally, we multiply the result by 2: 2 * (-1) = -2.
Therefore, the solution to the expression 2(√(80/5) - 5) is -2.
The answer to the given question is: [tex]\[ 2\left(\frac{\sqrt{80}}{5} - 5\right) = \frac{2\sqrt{80}}{5} - 10 \][/tex]
To solve the expression step by step:
1. First, simplify the square root within the parentheses. The number 80 can be factored into [tex]\( 16 \times 5 \)[/tex], and since [tex]\( \sqrt{16} = 4 \),[/tex] we can rewrite[tex]\( \sqrt{80} \) as \( 4\sqrt{5} \).[/tex]
[tex]\[ 2\left(\frac{4\sqrt{5}}{5} - 5\right) \][/tex]
2. Next, distribute the 2 across the terms inside the parentheses:
[tex]\[ 2 \times \frac{4\sqrt{5}}{5} - 2 \times 5 \][/tex]
3. Simplify each term:
[tex]\[ \frac{8\sqrt{5}}{5} - 10 \][/tex]
4. At this point, we have the simplified form of the expression. However, if we want to combine the terms into a single fraction, we need a common denominator. The second term, -10, can be written as [tex]\( \frac{-10 \times 5}{5}[/tex]) to get the common denominator of 5:
[tex]\[ \frac{8\sqrt{5}}{5} - \frac{50}{5} \][/tex]
5. Now, subtract the two fractions:
[tex]\[ \frac{8\sqrt{5} - 50}{5} \][/tex]
6. This is the final simplified form of the expression. It cannot be simplified further algebraically because [tex]\( 8\sqrt{5} \)[/tex] and 50 do not have common factors other than 1.
Therefore, the final answer is: [tex]\[ \boxed{\frac{8\sqrt{5} - 50}{5}} \][/tex]
[tex]\[ 2\left(\frac{\sqrt{80}}{5} - 5\right) \][/tex]
And the final simplified answer is: [tex]\[ 2\left(\frac{\sqrt{80}}{5} - 5\right) = \frac{2\sqrt{80}}{5} - 10 \][/tex]
Megan buys 3 bracelets and 3 necklaces. Each bracelet costs 5. Megan pays on 40 and gets 4 change. what is the cost of one necklace?
Assume you have a poker chip set containing blue, red, and white chips, all of the same size. you place 15 blue chips, 10 red chips, and 25 white chips in a bag. as you are about to randomly draw a chip from the bag, you bet your friend you will pick a red chip from the bag because you feel that red is your lucky color.
Find the specified vector or scalar.
u = -4i + 1j and v = 4i + 1j; Find ||u+v||
a. sqrt32
b. 2
c. 5
d. 8
What is the solution of the system?
Use the elimination method.
4x+2y=18
2x+3y=15
Answer:
-divide both sides by -2
-2x-y=-9
2x+3y=15
-sum the equations vertically to
eliminate at least one variable
2y=6 divide both sides of the equation
by 2
y=3
-substitute the given value of y into the simplest equation
2x+3*3=15
-solve for x
x=3
-the solution of the system is the ordered pair (x,y)
(x,y)= (3,3)
Check √
-check if the given ordered pair is a solution of the system of equations
{4*3+2*3=18
{2*3+3*3=15
simplify the inequalities
{18=18
{15=15
-since all of the equalities are true the ordered pair is the solution of the system
Step-by-step explanation:
(1/3+9) x ( 8-3) tell me the steps help
In a sale Gameboys are reduced by two-fifths. What is the sale price if the original price was $50.00?
(PS: Please write how you got the answer)
Divide. 3.2 ÷ 0.8 help me e pleaseeeeeeeeeeee !!!!!!
What is the best measure of the center for the data set: 2,2,2,4,4,5,5,5,7,7,15,17
in the following figure find a deg,2adeg and bdeg
Kate ran 6 miles. How far did she run in kilometers?
Final answer:
Kate ran approximately 9.66 kilometers after converting her distance run in miles to kilometers using the conversion factor of 1 mile equaling 1.60934 kilometers.
Explanation:
Kate ran 6 miles and we need to convert that distance into kilometers. To do this, we use the conversion factor that 1 mile is approximately equivalent to 1.60934 kilometers. By multiplying 6 miles by this conversion factor, we get:
6 miles × 1.60934 km/mile = 9.65604 kilometers
So, from the above calculation Kate ran roughly 9.66 kilometers, considering we usually round the result to two decimal places when dealing with distances unless high precision is required.
How many pounds must a sand bag weigh to test if a safety net can absorb the proper amount of force?
To test if a safety net can absorb the proper amount of force, you would need to determine the weight of the sand bag. This can be done by using the concept of Newton's second law and calculating the mass of the sand bag using the equation F = mg, where F is the force required and g is the acceleration due to gravity.
Explanation:To test if a safety net can absorb the proper amount of force, you would need to determine the weight of the sand bag. This can be done by using the concept of Newton's second law, which states that force equals mass times acceleration. You would first need to calculate the acceleration of the sand bag using the formula F = ma, where F is the force required to be absorbed by the safety net and a is the acceleration. Once you know the required force and acceleration, you can calculate the mass of the sand bag using the equation F = mg, where g is the acceleration due to gravity (approximately 9.8 m/s²).
For example, if the required force is 500 N and the acceleration is 5 m/s², you would calculate the mass of the sand bag as follows:
F = ma
500 N = m * 5 m/s²
m = 500 N / 5 m/s²
m = 100 kg
Therefore, the sand bag must weigh 100 kilograms (or approximately 220 pounds) to test if the safety net can absorb the proper amount of force.
Learn more about Weight of sand bag for safety net testing here:https://brainly.com/question/31920126
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A sample of cigarette smoke contains 2.09% carbon monoxide. the u.s. national ambient air quality standard for co in a 1−hr period is 35 ppm. how many times greater than this standard is the co concentration in cigarette smoke?
What is the sum of (–2.1x + 3.7) and (5 + 4.9x)?
-7.0x + 8.7
-2.8x + 8.7
2.8x + 8.7
7.0x + 8.7
Answer
C.
2.8x + 8.7
Given the exponential function A(x)=P(1+r)^x, what value for r will make the function a decay function
Answer:
To make the function a decay function the rate of change in the function A(x) is r<0.
Step-by-step explanation:
Given : The exponential function [tex]A(x)=P(1+r)^x[/tex]
To find : What value for r will make the function a decay function?
Solution :
The exponential function is [tex]A(x)=P(1+r)^x[/tex],
where, P is the initial value
and r is the rate of change
The condition of rate of change is
1) The function is an exponential growth if their is positive rate of change i.e r>0.
2) The function is an exponential decay if their is negative rate of change i.e. r<0.
Therefore, To make the function a decay function the rate of change in the function A(x) is r<0.
which of the following expressions is equivalent to the expression below ?
Based on each applicant’s median credit score, to which client is Rachel likely to offer the best interest rates? a. Leslie b. Pat c. Sam d. Alex
Just got this question in a practice test on Edge. The answer is definitely Alex, or D.
Prudence has 20 pairs of gold earrings and 4 pairs of silver earrings in a drawer in her jewelry box. If she randomly pulls six pairs of earrings out of the drawer to take with her on a trip, which of the following is the best prediction of the number of pairs of earrings that will be gold?
The best prediction of the number of gold earrings Prudence will pull out is 5 pairs.
Explanation:To predict the number of pairs of gold earrings Prudence will randomly pull out of her drawer, we need to find the probability of selecting gold earrings from the total number of options.
Prudence has 20 pairs of gold earrings and 4 pairs of silver earrings, making a total of 24 pairs of earrings in her drawer.
The probability of selecting a gold earring is given by:
Number of gold earrings / Total number of earrings = 20 / 24= 5 / 6.
Therefore, the best prediction of the number of pairs of earrings that will be gold is 5 pairs.
the slope of the line passing through (-9,-6) and (-15,y) is 2/3. what is the value of y
Sir, please show your work
The circumference of a circle is 31.4 inches. What is the circle's diameter? C=31.4 in Use 3.14 for .
Kieran is making a birthday card with construction paper. He wants to cut a circle out of a square piece of construction paper. The circle will have a radius of 6 inches. In square inches, what is the area of the smallest piece of construction paper Kieran could use?
A rancher wants to fence in a rectangular area of 14900 square feet in a field and then divide the region in half with a fence down the middle parallel to one side. What is the smallest length of fencing that will be required to do this?
What is the value of z in the equation 5z − 9 = 36?
4
5
6
9
In this question, you have to solve the equation.
5z – 9 = 36
You transpose the 9 to other side so the equation would look like this:
5z = 36 + 9
5z = 45
Divide 5 in both sides to solve the value of z:
z = 9
Please completely factor the following expression. e. 3x^2+5xy-2y^2
The expression 52x – 169 is equivalent to 13
Jordan had $10.00 if each drawing pen costs $1.49, how many can he buy
hello, Can someone please help me with this math problem? thanks!
What is the mean of the data set?
10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16
12.00
12.25
12.75
15.50
Answer:
the answer is 12.75
Step-by-step explanation:
btw if you need the median is 12 :>
A basketball player practices free throws by shooting 50 free throws a day. she records the number of free throws made each day. her number of free throws made is normally distributed with a mean = 34 free throws and standard deviation = 5 free throws. using appropriate rule learned in lesson 10, approximately what percent of the days does she make less than 29 free throws?
Answer: 46%
Step-by-step explanation:
Read the statement, and identify the expressions that are equivalent. the product of a number minus 17 and 5
Answer:
The expressions equivalent to 'the product of a number minus 17 and 5' are (n - 17) x 5 and 5(n - 17), where n is the unknown number. These cannot be simplified further without additional information.
Step-by-step explanation:
The statement 'the product of a number minus 17 and 5' can be translated into an algebraic expression. This expression would look like (n - 17) × 5 or 5(n - 17), where n represents the unknown number. Both expressions are equivalent and represent the same mathematical operation.
When simplifying algebraic expressions, it is important to eliminate terms wherever possible to get a more straightforward expression. However, in this case, since we don't have a specific value for n, we cannot simplify the expression further without additional information.
Always remember to check your answer to ensure that the expression makes sense and is reasonable within the context of the problem.
What is the a-value of the function, then determine if the graph opening up or down f(x)=−5(x+7)2+6?
Question 4 options:
a = -5, opens down
a = -5, opens up
a = 7, opens up
a = 7, opens down