Answer: ((B)) x = –6, x = 5
Step-by-step explanation: Edge 2021
As per quadratic equation, the solutions to the equation √(x² + 2x - 10) = √(x + 20) is x = - 6, 5.
What is a quadratic equation?"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients(a ≠ 0), x is the variable, and 'c' is the constant term."
The given quadratic equation is:
√(x² + 2x - 10) = √(x + 20)
⇒ (x² + 2x - 10) = (x + 20)
⇒ (x² + 2x - 10) - (x + 20) = 0
⇒ (x² + x - 30) = 0
⇒ (x² + 6x - 5x - 30) = 0
⇒ x(x + 6) - 5(x + 6) = 0
⇒ (x + 6) (x - 5) = 0
⇒ x = - 6, 5
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If 7 gallons of paint are used to paint 4 classrooms at Cascade Middle
School, then how many gallons of paint would be needed to pain 16
classrooms? Please enter the number value only in the blank.
gallons
Answer: 28 gallons of paint needed to paint 16 classrooms.
Step-by-step explanation:
As 7 gallons Paint 4 classrooms so if we need to paint 16 classrooms which four times 4 classrooms so 7*4=28 gallons will be needed to paint 16 classrooms
724 ×1,248 is even are odd number
One third of the marbles were blue. How many of the marbles were blue? Draw a picture to solve the problem
uh
one third?
idunno man
Describe the zeros of the graphed function.
A.
The function has three distinct real zeros.
B.
The function has two distinct real zeros and two complex zeros.
C.
The function has four distinct real zeros.
D.
The function has one distinct real zero and two complex zeros.
Answer:
A
Step-by-step explanation:
it intersects x axis at three points.
if my answer helps please mark as brainliest.
HELP ASAP ILL GIVE BRAINLIEST
Write an expression for
The product of eleven times a number less than 12
11(n - 12)
12n - 11
11n - 12
12 - 11n
Answer:
11n - 12
Step-by-step explanation:
The answers for the March 22 Recording Check
1. Solve the following one-step equation.
x+5=−7
x = -12 This is the correct answer
x = 2
2. An expression does NOT have an equal sign
The answer would be True
Fifty people put there name
into a two different drawings
(30 males and 20 females).
One drawing is for an iPad and
the other is for a flat screen
TV. What is the probability
that a female will win the iPad
and a male win the flat
screen?
7.SP.8
1. Carlos wants to know the favorite sport of people at his school so he asks his
baseball team
Bias or unbias
If one inch represents 6 feet, what dimensions would you use to make a scale drawing of a building 240 feet by 500 feet?
Answer: It would be 40 inches by 83 1/3 inches
Step-by-step explanation:
The dimensions on the scale drawings will be 40 inches by 83.34 inches.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that If one inch represents 6 feet. The dimensions of 240 feet by 500 feet in the scale drawing will be,
6 feet = 1 inch
1 feet = 1 / 6 inch
240 feet = ( 240 / 6 ) inches
240 feet = 40 inches
500 feet = ( 500 / 6 ) inches
500 feet = 83.34 inches
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DUE soon! For an unknown parent function f(x), write a function g(x) that is:
vertically stretched by a factor of 2,
shifted up 5 units, and
shifted right 4 units.
Explain how your function accomplishes these transformations.
See I don't know if you can choose whichever parent function to start off.
Answer and Step-by-step explanation:
The parent function is just f(x) = x.
See, the transformations equation of a parent function is as follows:
f(x) = a(x - h) + k
Where:
a is the scaling factor,
h is the horizontal (left and right) changing factor, and
k is the vertical (up and down) changing factor.
So, now we apply the transformations to this parent function by writing it in function g(x).
Vertically stretch by factor of 2: g(x) = 2x
Shifted up 5 units: g(x) = 2x + 5
Shifted left 4 units: g(x) = 2(x - 4) + 5
g(x) = 2(x - 4) + 5 is the function.
This function accomplishes these transformation by having 2 be the scale factor, 4 be the horizontal shift, and 5 be the the vertical shift.
#teamtrees #PAW (Plant And Water)
simplifying the ratio of 65:91
Answer:
3:5
Step-by-step explanation:
divide both sides by 13
How many 0.5 ribbons will be cut from a 8 meter
Answer:
16 ribbons
Step-by-step explanation:
Given
[tex]Length = 8\ meter[/tex]
[tex]Ribbon\ Length = 0.5\ meter[/tex]
Required
Determine the number of ribbons
This is calculated as:
[tex]n = \frac{Length}{Ribbon\ Length}[/tex]
[tex]n = \frac{8m}{0.5m}[/tex]
[tex]n = \frac{8}{0.5}[/tex]
[tex]n = 16[/tex]
About 1.15 million people live in a circular region with a population density of 18075 people per kilometer. Find the radius of the region
Answer:
r = 5 km
Step-by-step explanation:
Given that,
The population in a circular region = 1.15 million
The population density of the region = 18075 people per kilometer
We need to find the radius of the region.
We can find the area of circular region i.e.
[tex]A=\dfrac{P}{d}\\\\A=\dfrac{1.15\times 10^6}{18075 }\\A=63.6\ km^2[/tex]
We know that the area of a circular region is given by :
[tex]A=\pi r^2\\\\\pi r^2=63.6\\\\r=\sqrt{\dfrac{63.6}{\pi}} \\\\r=4.49\ km[/tex]
or
r = 5 km
So, the radius of the region is equal to 5 km.
find the length of the missing side 19 yd 50yd pythagorean theorem
Answer:
the answer is about 53.5
Step-by-step explanation:
A large restaurant chain is curious what proportion of their customers in a given day are new customers. They
are thinking of taking a sample of either n = 50 or nº= 100 customers and building a one-sample z interval for
a proportion using the data from the sample.
Answer:
It is a false statement
The correct statement is -The margin of error from the smaller sample will be [tex]\sqrt{2}[/tex] times the margin of error from the larger sample.
Step-by-step explanation:
P.S - The exact question is -
Given - A large restaurant chain is curious what proportion of their
customers in a given day are new customers. They are thinking
of taking a sample of either n = 50 or nº= 100 customers and
building a one-sample z interval for a proportion using the data
from the sample.
To find - The margin of error from the smaller sample will be 2 times
the margin of error from the larger sample.
Proof -
We know that
E ∝ [tex]\frac{1}{\sqrt{n} }[/tex]
For smaller margin, E₁ = [tex]\frac{1}{\sqrt{50} }[/tex]
For larger margin , E₂ = [tex]\frac{1}{\sqrt{100} }[/tex]
Now,
[tex]\frac{E_{1} }{E_{2} } = \frac{\sqrt{100} }{\sqrt{50} } = \sqrt{\frac{100}{50} } = \sqrt{2}\\[/tex]
⇒E₁ = [tex]\sqrt{2}[/tex] E₂
⇒The margin of error from the smaller sample will be [tex]\sqrt{2}[/tex] times the margin of error from the larger sample.
So,
It is a false statement.
Identifying a binomial experiment
In a study conducted by the sponsoring organization of an academic conference, attendees were classified during registration into one of three categories according to their field of interest: General, Applied, or Theoretical. Of the 400 people in attendance, 200 were classified as General, 60 were classified as Applied, and 140 were classified as Theoretical. You randomly select three registration cards (with replacement) of attendees of the conference and record their fields of interest.
This experiment______a binomial experiment.
When you select a registration card, the probabilities associated with each outcome are:
Outcome Probability
General 0.35
Applied 0.45
Theoretical 0.20
Let X be the number of card selections with outcome "General." Then X is a_____binomial random variable with mean E(X) =_____and standard deviation =______.
Answer:
Step-by-step explanation:
[tex]\text{This experiment is a binomial experiment}}[/tex]
[tex]\text{ The outcome of general = 0.35}[/tex]
[tex]So; If[/tex] [tex]X \sim Binomial (n = 3,p= 0.35)[/tex]
[tex]Then;[/tex]
[tex]Mean,[/tex] [tex]E(X) = np[/tex]
[tex]E(X) = (3)(0.35) \\ \\ E(X) = 1.05[/tex]
[tex]\text{Standard deviation:}[/tex]
[tex]\sigma= \sqrt{np(1-p)} \\ \\ = \sqrt{(3)(0.35)(1-0.35)} \\ \\ =0.826[/tex]
[tex]Thus;[/tex]
[tex]\text{Let X be the number of card selections with outcome "General."}[/tex]
[tex]\mathbf{ Then \ X \ is \ a\ binomial \ random \ variable \ with \ mean \ E(X) \ = \ 1.05}[/tex]
[tex]\mathbf{and \ standard \ deviation = 0.826}[/tex]
In a group of 84 kids, three-sevenths bought their lunches. Of those who bought their lunches, 9 got a slice of pizza. What is the fraction of the students who bought their lunches got a slice of pizza. Write your fraction in simplest form.
3/7x84=36
Ans: 9/36=1/4
Layla and Jacob are taking a photography class. Layla took twice as many photos as Jacob, and Jacob took 10 fewer photos than Layla. This situation can be represented with the system y = 2x and y = x +10, which can be used to find the number of photos taken by Jacob x and the number of photos taken by Layla y. Solve using systems of equations by substitution
Answer:
x = 10; y = 20
Step-by-step explanation:
y = 2x
y = x +10
Substitute y of the second equation with 2x.
2x = x + 10
x = 10
y = 2x = 2(10)
y = 20
Answer: x = 10; y = 20
Problem 5.A miner is trapped inside a mine and has access to 3 doors. The first door leads to a tunneland can take him to safety in 3 hours. The second door is a trap and brings him back to the mine againafter 5 hours through a tunnel. The third door also is a trap that brings him back to the mine after 7 hoursthrough a tunnel. The miner at all times is equally like to choose any of the doors. (In the darkness he canhardly distinguish the three). What is the expected length of time until he reaches safety
Answer:
Expected time is 15 hours for him to get to safety.
Step-by-step explanation:
We define X as the time that this miner would get to safety.
We define Y as the door he chooses initially.
P(Y= 1) = P(Y=2)=P(Y=3) = 1/3
We have E[X|Y=1] = 3
E[X|Y] = 5 hours + E[X}
E[X|Y] = 7 hours + E[X]
Then we have
E[X] = 1/3(3 + 5 + E[X] + 7 + E[X])
We cross multiply
3*E[X] = (15 + 2E[x])
3E[X] - 2E[X] = 15
E[X] = 15
So the time it would take to get him to safety is 15 hours
Which polynomial is represented by the algebra tiles?
x2 – x – 4
x2 – x + 4
3x2 – 5x + 8
3x2 – 5x – 8
Answer:
Its the 2nd option
Step-by-step explanation:
i took the quiz
A parallelogram has an area of 329.4 square inches and a height of 18 inches. What is the length of the base?
Answer:
329.4 / 18
18.3
Find the slope of the line that goes through the
(-4,6) and (2.1)
Answer:
-5/6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-6)/(2-(-4))
m=-5/(2+4)
m=-5/6
The area of the triangle below is 8.91 square inches. What is the length of the base?
2.2 in
Answer:
8.1
Step-by-step explanation:
Area of a triangle = ½ × base × height = Area
Rearranged =
area/1/2xheight
The base is the length.
8.91/1/2x2.2
=8.1 inches
An age a minus 2 plus a number,n Evalvate it a=10 n=4
i think its 12 but i dont know
What is the function rule for the line? f(x)=−2/3x−2 f(x)=−3/2x−2 f(x)=3/2x−2 f(x)=−3/2x+2 A coordinate grid with x and y axis ranging from negative five to five. The line passes the points begin ordered pair negative 3 comma 0 end ordered pair and begin ordered pair 3 comma negative 4 end ordered pair.
Answer:
The Answer is 2
Step-by-step explanation:
Yihbbbbbbbbbbbbbbbb
Answer:
nose ay aslo solo esfuerzate xd :V
In ΔQRS, the measure of ∠S=90°, the measure of ∠R=53°, and SQ = 93 feet. Find the length of RS to the nearest tenth of a foot.
Answer 70.1
Step-by-step explanation:
According to the central limit theorem: a. The mean of a sample from a population that is not normally distributed will tend towards a normal distribution if the sample size is large b. The probability of a sample standard deviation will converge towards the population variance as the sample standard deviation increases c. The median of a sample from a population that is normally
Answer:
a. The mean of a sample from a population that is not normally distributed will tend towards a normal distribution if the sample size is large.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
So, according to the above text, the correct answer is given by option a, that is, if the sample is large, the sampling distribution of the sample mean will be approximately normal, that is, trend towards a normal distribution.
This graph represents a linear function.
Enter an equation in the form y=mx+b that represents the function
described by the graph.
*Note: Uses only numbers and symbols, no spaces. If there is a fraction,
10
1
make it improper and use parentheses (ie. y =
72+ z will be typed
as y=(10/7)x+(1/2)]
Type your answer
Answer:
y=1x-3
Step-by-step explanation:
A multivitamin tablet contains 18.5 mg of calcium. How much
calcium does a bottle of 40 tablets contain?
Write your answer in grams.
Answer:
740 mg of calcium is the correct answer
I NEED HELP PLZZZ!!!!!!
Answer:
B.
Hope that helps!
Step-by-step explanation:
4x³+6x² Guys please Factorise
Answer:
[tex]2x^2(2x+3)[/tex]
Step-by-step explanation:
Find the greatest common factor of both, which would be [tex]2x^2[/tex].
Then, use the distributive property to rewrite it:
[tex]4x^2 + 6x^2 = 2x^2 * 2x + 2x^2 * 3 = 2x^2(2x + 3)[/tex]