Answer:
4 Units
Step-by-step explanation:
Edge 2021
Completing the squares and comparing with an standard equation, it is found that the radius of the circle is of 4 units.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the equation is:
x² + y² - 10x + 6y = -18
Then, we start the steps to complete the squares, as follows:
x² - 10x + y² + 6y = -18
(x - 5)² + (y + 3)² = -18 + 25 + 9
(x - 5)² + (y + 3)² = 16
Then, the radius is found as follows:
r² = 16 -> r = 4 units.
More can be learned about the radius of a circle at https://brainly.com/question/24307696
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an electrician has a 16-foot spool of wire and he needs to cut an 11-foot, 4-inch piece from the spool to make a repair. how many inches of wire will he have left on the spool after he makes the repair
The electrician will have 56 inches of wire left on the spool after he makes the repair.
First, we need to convert the length of the wire that the electrician needs to cut into inches. 11 feet is equal to 11 * 12 = 132 inches, and 4 inches is equal to 4, so the total length of the wire that the electrician needs to cut is 132 + 4 = 136 inches.
The electrician started with a spool of wire that was 16 feet long, or 16 * 12 = 192 inches long. If he needs to cut 136 inches of wire, he will have 192 - 136 = 56 inches of wire left on the spool.
Therefore, the electrician will have 56 inches of wire left on the spool after he makes the repair.
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300/12.500000000000000000
Answer: 24
Step-by-step explanation: Hope this helps.
HELP PLEASE!! NUMBER 6!!
You will get the brainiest if you can tell me how you did it, so I can finish doing them myself lol. If It comes back right, I will give it you instantly. Thank you very much.
Answer:
hey it's not clear....
A password contains eight digits. How many different passwords can be formed?
Now lets assume you use a stronger password with a mix of lowercase and uppercase characters, such as "blUeFisH", then the character set is 52. In this case, there are 52^8 possible combinations of 8 character passwords. So, to break an 8 character password, it will take (1.7*10^-6 * 52^8) seconds / 2, or 1.44 years.
5x-3(x-2)-x
Helppppp I just need you to simplify and show your work plz =)
Answer:
x+6
Step-by-step explanation:
5x-3(x-2)-x
5x-3x+6-x
x+6
What is 31.99 divided by 5.99 in long division? Explain & I will mark as brainliest
Answer:
Its 5.3405 I think:>
Step-by-step explanation:
What number group is 45/5 in
Answer:
Its in rational
Step-by-step explanation:
Answer:
45/5 is a rational number
Step-by-step explanation:
45/5 is equal to 9.
9 is a rational number.
PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU 5.3x - 9 + 7.6x
Answer:
12.9x - 9
your welcome
Someone please help answer completely !
Answer:
the answer is [tex]T=\frac{VP}{8}[/tex]
Step-by-step explanation:
V=[tex]\frac{8T}{P}[/tex]
you need to make T the subject of the formula:
step1: multiply P for both sides.
V=[tex]\frac{8T}{P}[/tex]
VP=8T
step2: divide by 8 for both sides.
T=[tex]\frac{VP}{8}[/tex]
the answer is [tex]T=\frac{VP}{8}[/tex]
Write a different expression that has the same quotient as -3/8 and 3/8.
Answer:
x = -3/8
Step-by-step explanation:
Can you Explain how to do this plz
Solve the equation formed when f ( x ) = g ( x ).
f ( x ) = 4 x − 4
g ( x ) = 1 2 x + 3
Group of answer choices
A. x = -4
B. x = 4
C. x = 2
D. x = -2
Answer:
The answer should be x = -7/8 but it doesn't say that for any of the choices
Step-by-step explanation:
For a sample, the 95% confidence interval is (0.202, 0.482). What is the point estimate, \hat{p}, of this sample?
Answer:
The Point estimate p = 0.342
Step-by-step explanation:
For the sample, 95% confidence interval (0.202,0.482) . The Confidence interval width = (0.482 - 0.202) = 0.28
The margin of error = 0.28/2
The margin of error = 0.14
So, Point estimate p = Lower bound + Margin of error
Point estimate p = 0.202 + 0.14
Point estimate p = 0.342
Therefore, the Point estimate p = 0.342
A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved. Brine containing 1 2 pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is then pumped out at a slower rate of 4 gal/min. Find the number of pounds of salt in the tank after 35 minutes.
Answer:
Step-by-step explanation:
From the given information:
[tex]R_{in} = ( \dfrac{1}{2} \ lb/gal) (6)\ gal /min \\ \\R_{in} = 3 \ lb/min[/tex]
Given that the solution is pumped at a slower rate of 4gal/min
Then:
[tex]R_{out} = \dfrac{4A}{100+(6-4)t}[/tex]
[tex]R_{out}= \dfrac{2A}{50+t}[/tex]
The differential equation can be expressed as:
[tex]\dfrac{dA}{dt}+ \dfrac{2}{50+t}A = 3 \ \ \ ... (1)[/tex]
Integrating the linear differential equation; we have::
[tex]\int_c \dfrac{2}{50 +t}dt = e^{2In |50+t|[/tex]
[tex]\int_c \dfrac{2}{50 +t}dt = (50+t)^2[/tex]
multiplying above integrating factor fields; we have:
[tex](50 +t)^2 \dfrac{dA}{dt} + 2 (50 + t)A = 3 (50 +t)^2[/tex]
[tex]\dfrac{d}{dt}\bigg [ (50 +t)^2 A \bigg ] = 3 (50 +t)^2[/tex]
[tex](50 + t)^2 A = (50 + t)^3+c[/tex]
A = (50 + t) + c(50 + t)²
Using the given conditions:
A(0) = 20
⇒ 20 = 50 + c (50)⁻²
-30 = c(50) ⁻²
c = -30 × 2500
c = -75000
A = (50+t) - 75000(50 + t)⁻²
The no. of pounds of salt in the tank after 35 minutes is:
A(35) = (50 + 35) - 75000(50 + 35)⁻²
A(35) = 85 - [tex]\dfrac{75000}{7225}[/tex]
A(35) =69.6193 pounds
A(35) [tex]\simeq[/tex] 70 pounds
Thus; the number of pounds of salt in the tank after 35 minutes is 70 pounds.
Find the value of X.
Answer:
x = 6
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
32+4 is 36
90-36 is 54
9 times 6 is 54
54+4 is 58
58+32 is 90
pls mark me brainliest :)
Given (3x + 2) : (x - 2) = 7:5, what is the
value of x?
Answer:
(3x+2)/(x-2)=7/5
5(3x+2)=7(x-2)
15x+10=7x-14
15x-7x=-14-10
8x=-24
X=-24/8
X=-3
A cake recipe called for using 6 ¼ cups of sugar before baking and another 5 ¾ cups after baking. What is the total amount of sugar needed in the recipe?
Answer:12 cups of sugar are needed in the recipe
Step-by-step explanation:
6 ¼ + 5 ¾ =11 4/4=12
The total amount of sugar needed for the cake recipe is 12 cups.
Given that, A cake recipe called for using 6¼ cups of sugar before baking and another 5¾ cups after baking.
What is addition of two fractions?To add fractions there are three simple steps:
Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator.
Step 3: Simplify the fraction (if possible)
Now, the total amount of sugar needed
6¼ + 5¾
= 25/4 + 23/4
= (25+23)/4
= 48/4
= 12
Hence, the total amount of sugar needed for the cake recipe is 12 cups.
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Find the slope of the line passing through the points (-4,7) and (2,-8)
Answer:
[tex]m=\frac{-5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, 7)
Point (2, -8)
Step 2: Find slope m
Substitute: [tex]m=\frac{-8-7}{2+4}[/tex]Subtract/Add: [tex]m=\frac{-15}{6}[/tex]Simplify: [tex]m=\frac{-5}{2}[/tex]Need help will mark Brainliest
Answer:
40
Step-by-step explanation:
You know that angle m<SRT is 40, because it's a supplementary angle with 140. 180 - 140 = 40.
Next, you also know that the interior angles of a triangle add up to 180, so you would now make an equation adding all three angles and setting them equal to 180.
40 + 3x + 4 + 8x + 4 = 180
You would now add like terms.
11x + 48 = 180
You would now subtract 48 from both sides.
11x = 132
You would now divide both sides by 11.
x = 12
You would now plug x into m<RST, 3x + 4.
3(12) + 4 = m<RST
36 + 4 = m<RST
40 = m<RST
Instead of having a cake, Ruben wants to make ice cream sundaes at his next birthday party.
He thinks each person will eat 2 cups of ice cream, and there will be 24 people at his party.
How many 1-gallon tubs of ice cream should he buy?
tubs
Answer:
he should buy 3 gallons
Step-by-step explanation:
There are 16 cups in a gallon, and if each person will eat 2 cups, and there are 24 ppl, multiply 24 by 2 to get the number of cups.
24 x 2 = 48.
Then, divide that by 16 (the number of cups in a gallon) to t how many gallons.
48 ÷ 16 = 3
so, he needs 3 gallons
hope this helped!
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CHAPTER 22
Statistics and Central Tendencies
results are shown in the table below.
Number of visits
Number of people
1
6
2 3
119
5
7.
8
6
S
7.
4
(a) Find the median number of visits per person.
(b) Calculate the mean number of visits per person.
[ Jan., paper 1, No. 21
ling between two cities, 3/8 of the passengers ar
Fifty people visiting a museum were asked how many times they had visited the museum
Answer:
p
Step-by-step explanation:
The legs of a right triangle measure 8 inches and 12 inches. What is the area
of the triangle?
A. 192 sq. inches
B. 24 sq. inches
C. 48 sq. inches
D. 96 sq. inches
Answer:48 sq. Inches
Step-by-step explanation:
What is the answer I’m dumb
Answer:
9units
Step-by-step explanation:
How to change a fraction to a decimal
Answer:
just divide the numerator by the denominator
Step-by-step explanation:
an example is ⅔ as a decimal is about .666 or .7
V = 4 + at, solve for A
Answer:
a=v-4
Step-by-step explanation:
Which is the graph of y=3/4x-3
Answer:
need the graph, but go to desmos for answer to graphing questions
Step-by-step explanation:
Answer in Slope form
Answer:
y=1/4x+3
Step-by-step explanation:
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Answer:
lol
Step-by-step explanation:
Estimate the area of the inregular shape. Explain your method and show your work.
Please help 100 points and brainliest
Answer:
30
Step-by-step explanation:
Since we are estimating. We know that it is about 5 units on top and about 6 units on the side. Therefore, you would multiply them
5*6=30
That is why the area of this irregular shape is 30 units.
which is the right andwer?????????? please help me
Answer:
The first one