Answer:
A. 36, -36
Step-by-step explanation:
y = x^2 - 12x - 5
steps to complete the square
add a 5 to both sides to move the constant
x^2 - 12x = 5
Then take -12, the coefficient of the variable and divide by 2 and square.
12/2 = 6, 6^2 = 36
Then add 36 to both sides.
x^2 - 12x + 36 = 5 + 36
Then subtract the 5 and 36 from both sides.
x^2 - 12x + 36 - 36 - 5
Verify that 1 + cos 2 theta / 2 cos theta = cos theta is an identity
Answer and Step-by-step explanation:
We want to verify that (1 + cos(2θ)) / 2cos(θ) = cos(θ).
Let's focus on the left side. Look at cos(2θ). This is an identity, so remember that cos(2θ) = cos²θ - sin²θ. Also, look at the 1. Remember that sin²θ + cos²θ = 1, so plug both of these expressions into our equation:
(1 + cos(2θ)) / 2cos(θ) =? cos(θ)
((sin²θ + cos²θ) + (cos²θ - sin²θ)) / 2cos(θ) =? cos(θ)
2cos²θ / 2cosθ =? cosθ
cosθ = cosθ
Thus, we have proved this is an identity.
Answer:
(1 + cos(2theta))/2cos(theta)
cos(2theta) = 2cos²(theta) - 1
(1 + 2cos²(theta) - 1)/2cos(thetal
2cos²(theta)/2cos(theta)
cos(theta)
A tire manufacturer has a 60,000 mile warranty for tread life. The manufacturer considers the overall tire quality to be acceptable if less than 5% are worn out at 60,000 miles. The manufacturer tests 250 tires that have been used for 60,000 miles. They find that 9 of them are worn out. With this data, we test the following hypotheses at the 5% significance level. The P-value is 0.15
H0: The proportion of tires that are worn out after 60,000 miles is equal to 0.05.
Ha: The proportion of tires that are worn out after 60,000 miles is less than 0.05.
Which of the following conclusions is correct?
A. Accept H0.
B. Fail to reject H0.
C. Reject H0.
Answer:
Fail to reject H₀
Step-by-step explanation:
To reject the null hypothesis, the P-value must be less than 0.05.
Since the P-value is 0.15 which is greater than 0.05, we would fail to reject the null hypothesis as there is no sufficient evidence against the null hypothesis.
Thus, the conclusion would be to fail to reject H₀.
Divide the decimal 122.4 by 9
( 122.4÷9)
Answer:13.6
Step-by-step explanation:
122.4 ➗ 9=13.6
In the data set below, what is the upper quartile?
3344466889
Answer:8
Step-by-step explanation:
3 3 4 4 4 6 6 8 8 9
data in upper quartile section are 6 8 8 9
We therefore find the median of 6 8 8 9
The median is the upper quartile
Upper quartile=(8+8)/2
Upper quartile=16/2
Upper quartile=8
1) Which system of linear equations could the graph represent? A) y = x + 5 y = 2x + 4 B) y = 3x + 6 y = −4x + 8 C) y = −3x + 6 y = −x + 3 D) y = −2x + 6 y = −4x + 8
Answer:
A
Step-by-step explanation:
Correct systems of linear equations which represent the two lines are,
a. x=3, y=6
e. y= x + 3, y= 2x
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are two lines are graphed on the same coordinate plane.
And, the lines only intersect at the point (3,6).
Now, We know that;
When Point (3, 6) is lies on line then it satisfy the equation of lines.
Hence, By options;
a. x=3, y=6
Clearly, Point (3, 6) is lies on line.
e. y= x + 3, y= 2x
y = x + 3
y = 3 + 3
y = 6
Hence, Point (3, 6) is lies on line.
Thus, Correct systems of linear equations which represent the two lines are,
a. x=3, y=6
e. y= x + 3, y= 2x
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complete question:
Two lines are graphed on the same coordinate plane.the lines only intersect at the point (3,6).which of these systems of linear equations could represent the two lines?
a. x=3
y=6
b. x=6+y
y=3+x
c. y=3x-3
y= x-1
d. x=3+y
y=6+x
e. y= x+3
y= 2x
2 Points
You and your friend enter a drawing with 3 different prizes. A total of 12
people entered the drawing, and prizes are awarded randomly.
There are 1320 ways to award the prizes.
What is the probability that you win first prize and your friend wins second
prize?
O A
B.
10
1320
O O O O
C.
12
1320
D.
1320
creo que la respuesta es D
Answer:10/1320
Step-by-step explanation:
Round 0.378 to the place underlined digit 3
Answer:
0.38
Step-by-step explanation:
7 is the 3rd digit, so 8 is greater then 5, so you round up, if it is correct, can you give brainiest
Answer:
0.40
Step-by-step explanation:
this is because the number before it is up to five and even more than 5 so we round it up by adding one to the next number and the remaining digit to zero
Which types of triangles can be formed by taking the cross-section of a rectangular prism like the one shown above?
Answer: Equilateral, isosceles and scalene.
Step-by-step explanation:
A small wooden statue has a mass of 500 g and a volume of 670 cubic centimeters. What is the density of the statue?
Answer:
0.7463 gm/cm^3
Step-by-step explanation:
Density of any substance is mass of that substance per unit of volume.
it can be represented by given below expression
Density = mass/ volume
Given
mass = 500gm
volume = 670 cubic centimetres
Therefore, density = 500/670 gm/cubic centimetres
density = 0.7463 gm/cm^3
Thus , density of statue is 0.7463 gm/cm^3.
How to find the area of the seating area
Parallelogram area is base times height. Base of 14, height of 10,
Answer: A = (14 ft)(10 ft) second choice
Answer:
choice B
Step-by-step explanation:
The design for a playground is represented on the coordinate plane below, where the units are in yards.
A fence will be built around the perimeter of the entire playground.
How many yards of fencing will be needed to build the fence?
Answer:
The perimeter of the field is 21 yards
Step-by-step explanation:
See attachment 1 for the coordinates plane.
The question is best solved using an attachment.
To calculate the perimeter of the fence, we simply add the sides of the rectangle.
Attachment 2 is a labelled diagram of attachment 1.
From 2, we have that
Perimeter = A + B + C + D + E + F
Where A to F represent the length of each sides of the fence
From coordinates geometry,
A = 5
B = 4
C = 6½
D = 1½
E = 1½
F = 2½
So,
Perimeter = 5 + 4 + 6½ + 1½ + 1½ + 2½
Perimeter = 21
Hence, the perimeter of the field is 21 yards
What’s the correct answer for this?
ANSWER: D
Isosceles Right Triangle has 3 angles: 90 degrees, 45 degrees and 45 degrees
Answer:
D
Step-by-step explanation:
It is isosceles (having two sides and angles congruent) and it is right will provide enough information to find all the angles of the triangles.
A 6-sided die is rolled three times. What is the probability of rolling a 4 each time?
A 0.00463
B. 0.99537
C 0.16667
D. 0.00231
Answer:
a
Step-by-step explanation:
math
For a sphere with a radius of 8, what is the surface area
Answer:
64
Step-by-step explanation:
Complete 12 for 10 points.
Answer:
5 minutes
Step-by-step explanation:
200+15=215
214/43=5
It moved up a total of 200 + 15 = 215 meters at 43 meters per minute
t = 215 m / (43 m/min) = 5 minutes
Answer: 5 minutes
Please help me!!! show work
Answer:x=8 or x=-2
Step-by-step explanation:
log4(x-6) + log4(x)=2
log4(x(x-6))=2
4^2=x(x-6)
4x4=x(x-6)
16=x^2-6x
Arrange the quadratic equation
x^2-6x-16=0
x^2+2x-8x-16=0
x(x+2)-8(x+2)=0
(x-8)(x+2)=0
x-8=0. x+2=0
x=8. x=-2
please help this is timed please!
Answer:
f/g(x) 1/x x=0
Step-by-step explanation:
f/g 1/x+2
x+2=0
-2 -2
x=-2
Ana has a rectangular garden with a width of 2.3 meters and a length of 2.8 meters. She makes the model below to help her determine the area of her garden. What is the area of Ana's garden?
Answer:
6.44 m2
Step-by-step explanation:
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. y = x² + 7x + 10
Step-by-step explanation:
I graphed the equation on the graph below to show you how I got my answer.
How many different 12-letter arrangements can be made using the letters in the word indianapolis?
Answer:
764
Step-by-step explanation:
What is the mean (average) of the following data set? 3, 5, 7, 8, 9, 4, 2, 1, 3, 8 *
Answer:
5
Step-by-step explanation:
3+5+7+8+9+4+2+1+3+8=50
50/10=5
What best determines whether a borrower’s interest rate on an adjustable rate loan goes up or down
Answer:
a market's condition
Step-by-step explanation:
edge 2021
Market conditions best determine whether a borrower’s interest rate on an adjustable rate loan goes up or down.
What is the interest rate?It is the cost of borrowing money.
Interest rate levels depend on the supply and demand of the money.
Supply and demand are a part of market conditions.
We see that,
An increase in demand for money will increase the interest rate.
A decrease in demand for money will decrease the interest rate.
Conversely,
An increase in the supply of money will decrease the interest rate.
A decrease in the supply of money will increase the interest rate.
Demand and supply are market conditions
Thus market conditions best determine whether a borrower’s interest rate on an adjustable rate loan goes up or down.
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A table has an area of 12 li and a perimeter of 16 ft. What are the dimensions of
O
O
2 ft by 6 ft
2 ft by 8 ft
4 ft by 3 ft
4 ft by 4 ft
O
Your answer would be i'm pretty sure 2ft by 6 ft or 4ft by 3ft I am not positively sure but if I did my maths right then they should be our answer(s) not sure...still.
If the first term of an arithmetic sequence is 4 and the difference between con-
secutive terms is 5, what is the second term? The third term? The twelfth? The
eightieth? The nth?
Answer:third term=14 twelfth term=59
Step-by-step explanation:
first term=a=4
Common difference=d=5
Second term=4+5=9
Third term=9+5=14
Using Tn=a+d(n-1)
T12=4+5(12-1)
T12=4+5x11
T12=4+55
T12=59
Twelveth term=59
You delete 1/8 of the messages in your email inbox. What percent of the messages did you delete
I don't have many friends to get messages in my email box
Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing!
Answer:
Graph B
Step-by-step explanation:
how many times does 8 go into 11
Answer:
8 goes into 11 one time with a remainder of 3
The states that dropped out of the Union, became the __________________ States of America 58 POINTS!!!
Answer:
Confederate
Step-by-step explanation:
During the time that led up to the conflict known as the Civil War of America, the major cause of tension was slavery. Southern plantation owners and farmers fiercely advocated slavery because they helped with the harvest of crops and the overall southern economy. The northerners, however, resisted slavery, saying it was immorally and inhumanely wrong.
At the culmination of this tension, many southern states, led by Jefferson Davis (who later became the "president" of the Confederate states), decided to secede from the Union (break away) and establish their own entity, which they called the "Confederate States of America".
Given: m∠APC = 27°, m DC = 27° Find: m AB
Answer:
The unknown angle = 126°
Step-by-step explanation:
From angles in a triangle.
The total sum of angles in a triangle = 180°
Let the unknown angle be x
27 + 27 + x = 180
X = 180-27-27
X= 180-54
X = 126°
Answer: 81°
Step-by-step explanation:
m<p is a secant exterior angle which equals arcAB-arcDC divided by 2.
plug the numbers in and arcAB-27 / 2 =54 Arc AB is 27+54=81 degrees
Harris Interactive® conducted a poll of American adults in August of 2011 to study the use of online medical information. Of the 1,019 randomly chosen adults, 60% had used the Internet within the past month to obtain medical information. Use the results of this survey to create an approximate 95% confidence interval estimate for the percentage of all American adults who have used the Internet to obtain medical information in the past month.
Answer:
[tex]0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570[/tex]
[tex]0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630[/tex]
The 95% confidence interval for the true proportion would be given by (0.570;0.630) .
And if we convert this into % we got (57.0%, 63.0%)
Step-by-step explanation:
The information given we have the following info given:
[tex] n = 1019[/tex] represent the sampel size
[tex] \hat p=0.6[/tex] represent the sample proportion of interest
The confidence level is 95%, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:
[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]
The confidence interval for the mean is given by the following formula:
[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]
Replacing the info given we got:
[tex]0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570[/tex]
[tex]0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630[/tex]
The 95% confidence interval for the true proportion would be given by (0.570;0.630) .
And if we convert this into % we got (57.0%, 63.0%)