Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) ∠1≅∠4 :Given
2) The two lines are parallel :Alternate Exterior Angles Converse
3) ∠3≅∠2 :Alternate Interior Angles Are Congruent
Answer:
given: 1=4 prove: 3=2
statement reasons
1=4 given
1=2 vertical angles
3=4 congruent angles
therefore: 3=2
Step-by-step explanation:
Red = R, Orange = O, Yellow = Y, etc; ALL CAPS
Answer:
I don't know what your asking, but if your asking about colors here you go.
Step-by-step explanation:
Green = G
Blue = B
Black = BL
Yellow = Y
Orange = O
Grey = GR
Purple = P
Red = R
Pink = PI
Thats all that I can think of right now
I need to know what is rational and what isn't
Answer:
Irrational
Rational
Rational
Rational
Irrational
Step-by-step explanation:
Use the equation below to find T, if W=62, m=4, and a=6
Answer:
T = 38
Step-by-step explanation:
T = 38 because:
1) Plug in all the variables into the equation
Equation: T = 62 - 4(6)
2) Next, solve the equation. First, do multiplication because of order of operations.
Equation: T = 62 - 24
3) Now just subtract 62 and 24
Equation: 38 = 62 - 24
Therefore, T = 38
Hope this helps! :D
2. Write a quadratic equation with roots (-2,0) and (4,0) that has a minimum value
of -36
Answer:
f(x) = 4*(x+2)*(x-4) factorized formula
f(x) = 4x^2 - 8x - 32 polynomical formula
Step-by-step explanation:
Lets assume the factorized formula of a quadratic function:
f(x) = a*(x-x1)^2 * (x-x2)^2
where "a" is a coefficient and x1, x2 are the roots of the function. Then replacing the given roots:
f(x) = a*(x+2)*(x-4)
because its told us that -36 is the minimum value of the function we can say that its concave, then this value is actually the component in the Y axis of the vertex. To find the component in the X axis of the vertex we have to make the adding between the roots and divide this value by 2, this last is because a quadratic function is a symetrical function. Lets call the component at the X axis of the vertex as Xv, then:
Xv=(x1+x2)/2
Xv=(-2+4)/2
Xv=1
Therefore now we have a point of the function and its P=(1,-36) this point is the vertex of the function too.
Now the last thing to do is to find the value of the coefficient "a". We can find it by replacing the point of the vertex obtained before.
-36 = a*(1+2)*(1-4)
-36 = a*(3)*(-3)
-36 = a*(-9)
4 = a
Finally the equation is:
f(x) = 4*(x+2)*(x-4)
if we expand this function we find the polynomical form of this function
f(x) = 4x^2 - 8x - 32
Anybody know the answers to this frl it’s due in 15 mins
Answer:
4. j(11) = 8
I think it is linear
5. g(-3) = 18
No, it's a parabola since x is to the second power
6. f(-7) = 5
No, I think it's an absolute value function
7. h(0) = 13
I think it is linear, just the slope is 0
Step-by-step explanation:
Answer:
Look below.
Step-by-step explanation:
4.)
j(11) = 19 - 11
j(11) = 8
The equation is linear.
5.)
g(-3) = 2(-3)²
g(-3) = 2(9)
g(-3) = 18
The equation is not linear. It is quadratic.
6.)
f(-7) = |-7 - 1| - 3
f(-7)= |-8| - 3
f(-7) = 8 -3
f(-7) = 5
The equation is not linear. It is an absolute value function.
7.)
h(0) = -13
The equation is linear.
how do you find max value in a quadratic function?
Answer:
Using the equation y = ax2 + bx + c.
Step-by-step explanation:
Klara sold 45 tickets to the school play, which is 3 times as many as the number of tickets sold by John. How many tickets did John sel show how you know
Answer:
15
Step-by-step explanation:
45 divided by 3 equals 15
45 ÷ 3 = 15
Hi there!
Clue: x3 less than the tickets Klara sold...
Divide both terms:
[tex]45[/tex]÷[tex]3=15[/tex]
Tickets: 15
What is the value of Box
A?
answer choices:
a. $3,000
b. $2,700
c. $0
d. $300
Answer:
It maybe 300.
Find the area of the rectangle (Let h = 24 ft and w= 29 ft)
Answer:
The answer is 696 ft.
Step-by-step explanation:
When you multiply the formula (LxW) you get the answer to the equation.
Answer:
696 ft
Step-by-step explanation: Multiply both of them :D
Determinar que tipo de número racional es 34/34
Answer:
1 (Integers and whole number)
Step-by-step explanation:
Given:
Rational number = 34 / 34
Computation:
34 / 34 = 1
Integers and whole number
An integer is descriptively measured by the number without even a fraction which can be written.
A bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. A random sample of homeowners selected from this area showed that they pay an average of per month for their mortgages. The population standard deviation of such mortgages is . a. Find a confidence interval for the mean amount of mortgage paid per month by all homeowners in this area. Round your answers to two decimal places. 1538.51 to 1627.49 dollars b. Suppose the confidence interval obtained in part a is too wide. Select all of the ways the width of this interval can be reduced.
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The 97% confidence interval is [tex]1528 < \mu < 1612 [/tex]
b
Option A and Option D are correct
Step-by-step explanation:
From the question we are told that
The sample size is n = 119
The sample mean is [tex]\$ 1570[/tex]
The population standard deviation is [tex]\sigma = \$ 211[/tex]
Generally given that the confidence level is 97% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 97 )\%[/tex]
=> [tex]\alpha = 0.03[/tex]
From the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.17[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]
[tex]E = 2.17* \frac{211}{\sqrt{ 119 } }[/tex]
=> [tex]E = 41.98 [/tex]
Generally the 97% confidence interval is mathematically represented as
[tex]\= x - E < \mu < \= x + E[/tex]
=> [tex]1570 - 41.98 < \mu < 1570 + 41.98 [/tex]
=> [tex]1528 < \mu < 1612 [/tex]
Generally looking at confidence interval we see that the width is dependent on the size of the margin of error.
Generally the margin error is directly proportional to the critical value of [tex]\frac{\alpha }{2}[/tex] which increases when the confidence level increases and vise versa
Also the margin error is inversely proportional to the square root of sample size
Hence to reduce the width of the confidence interval we need to lower the confidence level and increase the sample size
1. Which of the given equations are linear?
construction company builds an average of 48 houses per year. How many houses per month does the company build?
A clylinder has a height of 12 centimeters and a radius of 19 centimeters. What is its volume?
13602. 48 cm³
Step-by-step explanation:Hi there !
Cylinder volume formula
V = π·r²·h
π ≈ 3.14
replace
V = 3.14×(19cm)²×12cm
= 3.14×361cm²×12cm
= 13602. 48 cm³
Good luck !
The probability that the parking lot of a mall is full on a holiday is 0.19. The probability that it is a holiday is 0.29. What is the probability that the parking lot is full given that today is a holiday?
66%
15%
5.51%
Answer:
66%
Step-by-step explanation:
Use conditional probability.
P(full | holiday) = P(full AND holiday) / P(holiday)
P(full | holiday) = 0.19 / 0.29
P(full | holiday) ≈ 0.66
Answer:
I'm sure the answer is 15%
Step-by-step explanation:
PLEASE HELP NEED THIS DONE ASAP
Answer:
Equation: $7 + $1.25t = $43.25
Solving:
$7 + $1.25t = $43.25
$1.25t = 36.25
$1.25t = 36.25
t = 29
So the answer is 29 minutes.
URGENT 50 PTS AND BRAINLIEST FOR A CORRECT ANSWER THAT EXPLAINS WELL
A
Find an equation of the circle and sketch it if it has: Tangent to x-axis, r=4, contains (–5,8)
B
Find an equation of the circle and sketch it if it has:
Diameter endpoints (2, 5) and (0, 3)
C
Find an equation of the circle and sketch it if it has:
Center on x=3, tangent y-axis at (0, 5)
Answer:
A. [tex](x+5)^2+(y-4)^2=16[/tex]
B. [tex](x-1)^2+(y-4)^2=2\\[/tex]
C. [tex]$\left(x-3\right)^2+\left(y-5\right)^2=9$[/tex]
Step-by-Step Explanation:
A. Tangent to x-axis, r=4, contains (-5,8)
The equation of a circle is this: [tex](x-h)^2+(y-k)^2=r^2\\[/tex]
Therefore, we know that our equation will be: [tex](x-h)^2+(y-k)^2=4^2=16[/tex]
Because the circle is tangent to the x-axis, the point (-5,8) will be the top of the circle.
Therefore, the center is (-5,4), where -5=h and 4=k.
The answer is [tex](x+5)^2+(y-4)^2=16[/tex]
B. Diameter endpoints (2,5) and (0,3)
To solve for the diameter, we can use this equation: [tex]d=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2 }[/tex]
[tex]d=\sqrt{(2-0)^2+(5-3)^2 }\\\\d=\sqrt{2^2+2^2}=\sqrt{4+4} =\sqrt{8}= 2\sqrt{2}[/tex]
Because the radius is half of the diameter, [tex]r=\sqrt{2}[/tex]
Therefore, we know that our equation will be: [tex](x-h)^2+(y-k)^2=(\sqrt{2}) ^2=2[/tex]
Then, we can decipher that h=1, as the midpoint of 0 and 2 is 1, and k=4, as the midpoint of 3 and 5 is 4.
The answer is [tex](x-1)^2+(y-4)^2=2[/tex]
C. Center on x=3, tangent to y-axis at (0,5)
We can see that the center is (3,5). Therefore, the equation is [tex](x-3)^2+(y-5)^2=r^2\\[/tex]
To solve for r, we can substitute the point (0,5) into the equation.
[tex](0-3)^2+(5-5)^2=r^2\\(-3)^2+(0)^2=r^2\\r^2=9[/tex]
The answer is [tex](x-3)^2+(y-5)^2=9[/tex]
Hope this helped!
I NEED HELP OR I FAIL PLEASE HELP ME!!!!
Answer:
The answer is A, ST and WX
Step-by-step explanation:
The answer is A because ST and WX are the same size and shape, just mirrored.
What are the solutions of this quadratic equation?
x2 − 10x = -34
The roots of the equation are imaginary numbers, 5+6i, 5-6i.
What is a Quadratic Equation?A quadratic equation is what can be written in the form of ax²+bx+c=0
The quadratic equation is
x² -10x = -34
x² -10x +34 = 0
The roots formula for a quadratic equation is given by
[tex]x = \dfrac{ -b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
Here a = 1
b = -10
c = 34
The roots of the equation are
[tex]x = \dfrac{ 10 \pm \sqrt{(-10)^2 -4*34}}{2}[/tex]
[tex]\rm x = \dfrac{ 10 \pm \sqrt{-36}}{2}\\\\\\x = 5 \pm 6i[/tex]
To know more about Quadratic Equation
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Hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. Into which variable should she substitute 4,383 in the simple interest formula I = p r t?
I
p
r
t
Answer:
the CORRECT answer is p
Step-by-step explanation:
The simple interest is $683.748. Therefore, Hanna should submit 4,383 into variable p in simple interest formula.
Given that, principal (P)=$4,383, R=5.2% and T=3 years.
What is simple interest formula?The formula to find the simple interest is S.I=P×T×R/100.
Where, P= Principal, R= Rate of interest and T= Time period.
Now, S.I=4,383×3×5.2/100
=$683.748
The simple interest is $683.748. Therefore, Hanna should submit 4,383 into variable p in simple interest formula.
To learn more about the simple interest visit:
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How do we write this in scientific notation?
HURRY! PLEASE HELP!!! 3 times a number plus 5 is at least -10 and less than 26
Answer:
-5<x<7.
Step-by-step explanation:
let the number be represented by 'x'
3x + 5 > -10 < 26
-10<3x+5<26
-10 < 3x +5
-10 -5 < 3x
-15< 3x
-15÷3 < x
-5 < x
and
3x+5 < 26
3x<26-5
3x < 21
x < 21÷3
x< 7
answer is -5<x<7
Answer:
[⁵/3,7[
Step-by-step explanation:
10 ≤ 3x + 5 < 26
10-5 ≤ 3x < 26-5
⁵/3 ≤ X <7
[ 5/3 , 7 [
Which of the following parent functions has a domain and range of all real
numbers?
A. Cubic
B. Reciprocal
C. Quadratic
D. Absolute value
Parent functions has a domain and range of all real numbers is a Cubic function
Given :
We need to find the parent function that has a domain and range of all real
numbers.
Domain is the set of all x values and range is the set of y values.
For any cubic function there is no restriction for x
For each value of x there is a y value
So, domain and range of cubic function is set of all real numbers
For reciprocal function , there will be x in the denominator . So there will be some restriction for x.
For any quadratic function , domain is set of all real numbers. For quadratic we get U shaped graph . It means there is some restriction for y.
So range cannot be real numbers
For absolute value function , we get V shaped graph . so there is some restriction for y. Range cannot be all real numbers.
parent functions has a domain and range of all real numbers is a Cubic function
Learn more : brainly.com/question/19963818
A bird park has black and white birds in the ratio of 8 to 2 as shown below.
Which is another ratio that can describe the black to white birds?
04 to 1
0 1 to 4
1 to 7
7 to 1
HURRY PLEASE HELP what’s 0+0?
Answer:
it's very simple its 0 only
pls mark as brainliest
What is the value of x? Round to the nearest tenths place.
Sketch 9 red counters and 4 yellow counters. How many zero pairs can you make ? How many counters do you have after you remobe the zero pira ? What do they represent ?
Answer:
You have 5 yellow counters left because you can make 4 zero pairs, the zero pairs represent the even amount that when they get added together they cancel out
Step-by-step explanation:
Yellow-1,2,3,4,
Red-1,2,3,4,5,6,7,8,9
Cancel out-1,2,3,4
Left with-5,6,7,8,9
What is the value of -2 7/12 divided -1/6
Answer:
15.5
Step-by-step explanation:
-2 7/12 = -31/12
-31/12 ÷ -1/6 = 15 1/2 or 15.5
Find the mean, u, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth. n=676; p=0.7
Answer:
[tex]\mu=473.2[/tex]
Step-by-step explanation:
Binomial Distribution
The binomial distribution is commonly used to model the number of successes in a sample of size n drawn with replacement from a population of size N.
The mean value of a binomial distribution is given by:
[tex]\mu=np[/tex]
Where b is the number of trials and p is the success probability for each trial.
We need to find the mean value with parameters n=676 and p=0.7, thus:
[tex]\mu=676\cdot 0.7[/tex]
[tex]\boxed{\mu=473.2}[/tex]
write the side length of the square root. is the side length a rational or irrational number
Answer:
10 it is rational
Step-by-step explanation: