Find the value of x.
x=__ (simplify your answer. Type an exact answer isn’t radicals as needed.)
Answers
[tex] {5}^{2} + {x}^{2} = {8}^{2} [/tex]
[tex]25 + {x}^{2} = 64[/tex]
Subtract both sides 25
[tex]25 - 25 + {x}^{2} = 64 - 25[/tex]
[tex] {x}^{2} = 39[/tex]
Thus :
[tex]x = \sqrt{39} [/tex]
[tex]x = 6.245[/tex]
Related Questions
2 procedimientos por favor
Answers
Answer:
184.8
Step-by-step explanation:
385/25×12
385÷25=15.4
15.4×12=184.8
If f(x) = x2 – 1, and
g(x) = x + 2, then
g(f(x)) = [ ? ]x2 +[ ]x +[
Answers
=g[f(x)]
=g[x2-1]
=x2-1+2
In the year 2016, the population of the U.K. was about
20.3% of the U.S. population. In 2016, the U.S.
population was about 323.4 million. What was the
approximate population of the U.K. in 2016?
15.9 million
627.7 million
303.1 million
65.7 million
Answers
Step-by-step explanation:
65 million. of was 15 million it would be lower percentage and the other two are too high for 20 percent
The sum of two numbers is 43. The smaller number is 7 less than the larger number. What are the numbers?
Answers
Answer:
the expressions are: x + y = 43 and x - 13 = y
x = 28
y = 15
Step-by-step explanation:
hope this helps
may i get braineist pls
Answer:
Smaller is 18, larger is 25.
Step-by-step explanation:
x + y = 43
y = x - 7
x + (x - 7) = 43
2x - 7 = 43
2x = 50
x = 25 (larger)
25 - 7 = 18 (smaller)
[tex] \frac{3}{9} = \frac{?}{3} [/tex]
What's the missing number
Answers
3/9 = □/3
Do cross multiplication.
3/9 = □/3
3 × 3 = 9 × □
9 = 9 × □
9/9 = □
1 = □
◇ The missing number (□) is 1.
______
Hope it helps ⚜
Answer:
The missing number is 1.Step-by-step explanation:
[tex]\frac{3}{9} = \frac{x}{3}[/tex]Now, in this equation, we can see that 3/9 needs to be simplified. Let's simplify it.=> [tex]\frac{3}{9} = \frac{1}{3}[/tex]Our new equation is: [tex]\frac{1}{3} = \frac{x}{3}[/tex] => [tex]x = 1[/tex]Conclusion:
Therefore, the missing number is 1.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
The manager of a grocery store in Decatur currently provides special service to people who still use checks to pay for food. They have a separate pay/bag line for people who insist on waiting for a dollar total to pull out their checkbook and start writing. On average, 30 customers per hour arrive at the checking pay/bag line and they can be modeled with a Poisson distribution. The clerk at this line can handle an average rate of 35 customers per hour and their service can be modeled with exponential distribution.
a. 67%.
b. 75%.
c. 33%.
d. 25%.
Utilization Average time a customer spends in the system
rho = λ/μ w = 1/μ - λ = L/λ
Average # of customers in the system Average time a customer spends in the queue
Ls = λ/μ - λ Wq = λ/μ(μ - λ) = Ls/λ
Average # of customers in queue Probability of n units in the syst
Answers
The correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.033%, or 33%).
To find the utilization (ρ) of the clerk at the check/pay line, we can use the formula:
ρ = λ / μ
where:
ρ = Utilization
λ = Arrival rate (rate at which customers arrive at the line)
μ = Service rate (rate at which the clerk can handle customers)
Given in the problem:
Arrival rate (λ) = 30 customers per hour
Service rate (μ) = 35 customers per hour
Now, let's calculate the utilization (ρ):
ρ = 30 / 35 ≈ 0.8571
To convert this to a percentage, we multiply by 100:
ρ ≈ 0.8571 * 100 ≈ 85.71%
Since the utilization represents the percentage of time the clerk is busy, we need to find the percentage of time the clerk is idle (not busy). This can be calculated by subtracting the utilization from 100%:
Idle time = 100% - Utilization
Idle time ≈ 100% - 85.71% ≈ 14.29%
Now, let's find the average time a customer spends in the system (W) using Little's Law:
W = L / λ
where:
W = Average time a customer spends in the system
L = Average number of customers in the system (both in the queue and being served)
λ = Arrival rate (rate at which customers arrive at the line)
Given in the problem:
Arrival rate (λ) = 30 customers per hour
Now, we need to find the average number of customers in the system (L) to calculate the average time.
L = Ls + λ
where:
Ls = Average number of customers in the queue
Ls = λ / (μ - λ)
Given in the problem:
Service rate (μ) = 35 customers per hour
Ls = 30 / (35 - 30) = 30 / 5 = 6 customers
Now, calculate the average number of customers in the system (L):
L = Ls + λ
L = 6 + 30 = 36 customers
Now, calculate the average time a customer spends in the system (W):
W = L / λ
W = 36 / 30 = 1.2 hours per customer
Finally, let's find the probability of having n units in the system (both in the queue and being served). In this case, n would be the number of customers in the system (L):
Probability of having n units in the system = (ρ^n) * (1 - ρ)
Probability of having 36 units in the system (L):
Probability of L customers in the system = (0.8571^36) * (1 - 0.8571) ≈ 0.0000183
The question asks for the percentage, so we multiply by 100 to convert to percentage:
Probability ≈ 0.0000183 * 100 ≈ 0.00183%
Thus, the correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.00183% * 18 ≈ 0.033%, or 33%).
To know more about probability, refer here:
https://brainly.com/question/13069268
#SPJ2
Solve the equation.
2
What is the first step to isolate the variable term on one side of the equation?
What is the second step to solve for x?
Please help and be fast
Answers
Answer:
Add 1/2x, Divide by 7/6
Step-by-step explanation:
Add 1/2x to both sides
Divide both sides by 7/6
Mr.Plump lost 30 pounds from his original weight of 240 pounds. What percent weight loss did her achieve?
Answers
Answer:
12.5%
Step-by-step explanation:
I divided 30 (the amount he lost) by 240 (his original weight). I get 0.125, but need to move the decimal over 2 places to get the percentage.
The directions for Clean-All to mix 1 3/8 cups of cleaner with 2 2/5 cups water. Write a COMMON RATIO as
CLEANER to WATER
Answers
Answer:
Step-by-step explanation:
The Mega Clean mixture with 3 1/2 per gallon has more cleaner in it. The first mixture has .75 oz per quart. The second mixture has .875 oz per qt.
HOPE THAT HELP YOU
The table shows the number of
flowers used to create bouquets,
based on the number of bouquets.
Bouquets
Flowers
Bouquets Flowers
3. 27
5 45
8i 72
Answers
According to the table given, the rate of change is of 9.
The rate of change is given by the change in the output divided by the change in the input.
In this problem:
The input is the number of bouquets.The output is the number of flowers.Taking two of the points, (3,27) and (5,45), we have that:
[tex]m = \frac{45 - 27}{5 - 3} = \frac{18}{2} = 9[/tex]
Hence, the rate of change is of 9, which would be verified taking any pair of two points.
You can learn more about rate of change at https://brainly.com/question/25823744
what percent of 75cm is 5cm
Answers
Answer:
6.67%
Step-by-step explanation:
5 / 75 = 0.066667
(0.066667)(100) = 6.67%
SOMEONE HELP ME PLEASEEE
Answers
Answer:
A) X≥4
B) Can't see question
C)x<8
D) x>40
E)x≥5
F) Can't see question
G)x ≥43
H) x ≤75
Step-by-step explanation:
What are the first five terms of the arithmetic progression with the first term 8 and common difference 7 , then find the 17th?.
Answers
Step-by-step explanation:
a1 = 8
a2 = 8 + 7 = 15
a3 = 15 + 7 = 22
a4 = 22 + 7 = 29
a5 = 29 + 7 = 36
an = an-1 + 7 = a1 + 7×(n-1)
a17 = 8 + 7×16 = 8 + 112 = 120
If the measure of angle 1 is 45°, what is the measure of angle 11 in degrees.
Answers
1) Solve for x (11 - 2*) 7 = 21
Answers
ok done. Thank to me :>
PLS HELP ME WITH THIS (4 x 1) + (4 x 3)
Answers
Answer:
16
Step-by-step explanation:
4x1 is 4
4x3 is 12
4+12 is 16
Answer:
16
Step-by-step explanation:
whats -6-10k if k=-1
Answers
Answer:
The answer would be 4
Step-by-step explanation:
Calculate it
Answer:
4 is the answer.
Step-by-step explanation:
-6 - 10k
=> -6 - 10(-1)
=> -6 + 10
=> 4
Therefore, 4 is the answer.
Hoped this helped.
Not graded help please
Answers
Itemized Charitable Contributions The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that
the distribution of contributions is normal with a standard deviation of $108. Find the limits for the middle 58% of contributions.
Answers
Answer:
B
Step-by-step explanation:
help i want to graduate by january :,)
Answers
1. We see that it is 1.04. This means it will increase by 4 percent. 4% growth
2. 0.6 is less than 1. We need to subtract 1 by 0.6. This gives us 0.4. It will decay by 40 percent. 40% decay
3. We need to subtract 0.86 from 1. This gives us 0.14. The decay is 14 percent. 14% decay
4. 1 - 0.96 is 0.04. The decay is 4 percent. 4% decay
5. We see that it is 1.14. So, the growth is 14 percent. 14% growth
6. It is 1.4. The growth is 40 percent. 40% growth
solve the equation 5-x=8
Answers
Answer:
x = -3
Step-by-step explanation:
1. 5 - x = 8
2. +x +x
3. 5 = x + 8
4. -8 -8
5. x = -3
5 - x = 8
-x + 5 = 8
Subtract 5 from both sides
-x + 5 = 8
-x+5-5 = 8-5
subtract the numbers ( simplify )
-x = 3
divide both sides
-x = 3
-x/-1 = 3/-1
simplify
x = 3/-1
x = -3
So therefore, your answer is x = -3
The picture can be represented by the equation 40 divided by 8 equals 5.
Answers
Answer:
what is to do here
[tex] \sqrt[8]{40} = 4 \\ 5[/tex]
the answer like this up will be 5 what grade questionAdd. 34.700 + 98.428 98.775 132.435 132.980 133.128
Answers
Answer:
34.700+98.42+98.775+132.435+132.980+133.128
Lisa has $200 in her savings account. This is 40% of the money she needs to take a weekend trip. What is the total cost of the trip she wants to take?
Answers
The total cost of the trip Lisa wants to take over the weekend is $500.
Let the total cost of the trip be T.Given the following data:
Savings account balance = $200Percent of trip expenses = 40%To determine the total cost of the trip Lisa wants to take over the weekend:
Since the percentage of the money in Lisa's savings account is equal to forty percent (40%) of what is required for the total cost of the trip. Thus, we would multiply the total cost of her trip by 40% and equate it to $200.
Total cost of her trip:
[tex]\frac{40}{100} \times T = 200\\\\0.4T=200\\\\T=\frac{200}{0.4}[/tex]
Total cost, T = $500.
Read more: https://brainly.com/question/2021001
The maximum weight of a suitcase that an airline allows is 50 pounds. For every 1 pound, there is approximately 0.45 kilograms.
Answers
Answer: 22.5 kg
Step-by-step explanation:
You did not attach a question, so I'm going to assume that it is asking for the maximum weight of a suitcase in kilograms.
What is the sum of (X^2-1+7-3x-x2)(x)
Answers
x^3-5x^2+6x
Step by step solution:
(x^2-1+7-3x-2x)(x)
x^3-x+7x-3x^2-2x^2
x^3+6x-5x^2
The right way to write it is the power of x decreasing so it would be x^3-5x^2+6x
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answers
Answer:
y= -4/2x+ -4
Step-by-step explanation:
looked at the graph
In your own words, describe the one thing that makes adding decimals different than adding whole numbers. Why is this important
Answers
Answer:
Step-by-step explanation:
One difference is that when adding decimals you have to be aware if you have to move it or is the numbers are lined up,while whole numbers you just add them with no worries just making sure your adding the number rights and getting the right answer .
hi so my teacher gave me this and i am not sure if i did it right, this is what i put for the first Question
degree = 3
leading coefficient = 1
and the it is the arrows are going up/down so its a odd degree
and i put that the answer is d i did the rest like this please tell me where i went wrong/if i did
Answers
Answer:
First, let's look at some polynomials of even degree (specifically, quadratics in the first row of pictures, and quartics in the second row) with positive and negative leading coefficients:❤
A bag contains three green marbels and eight white marbels. suppose in marble is randomly selected. what are the odds in favor of picking a white marble?
A. 8 to 3
B. 8 to 11
C. 3 to 8
D. 3 to 11
Answers
Answer:
A. 8 to 3
Step-by-step explanation:
since its in favor, the amnt of white marbles goes first.
