Answer:
[tex](p + q)(p + q) \\ = {p}^{2} + pq + pq + {q}^{2} \\ = {p}^{2} + {q}^{2} + 2pq \\ = {(p + q)}^{2} \\ thankyou[/tex]
What is the value of x? (angle bisector problem)
Answer:
47Step-by-step explanation:
According to angle bisector theorem we get the following ratio:
VT/KT = VY/KYSubstitute the lengths and solve for x:
77/87.5 = 22/(x - 22)77(x - 22) = 87.5*2277x - 77*22 = 192577x = 1925 + 169477x = 3619x = 3619/77x = 47Use angle bisector theorem
77/87.5=22/x-2277x-1694=192577x=3619x=3619/77x=47What polynomial has quotient x^2 + 6x − 2 when divided by x + 3?
Answer:
x³ + 9x² + 16x - 6
Step-by-step explanation:
First, you have to multiply x + 3 with x² + 6x - 2.
(x + 3)(x² + 6x - 2)
You will get:
x · x² = x³
x · 6x = 6x²
x · -2 = -2x
3 · x² = 3x²
3 · 6x = 18x
3 · -2 = -6
When you combine these, you get:
x³ + 6x² - 2x + 3x² + 18x - 6
Add them up to get your answer,
x³ + 9x² + 16x - 6.
Hope this helps!
write down the next two terms of the number pattern 2,5,8,11,14
Answer:
17 and 20
Step-by-step explanation:
Write down the next two terms of the number pattern 2, 5, 8, 11, 14
Looking at the numbers, we can tell that they are increasing by 3:
2 + 3 = 5
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14
14 + 3 = 17
17 + 3 = 20
Hope this helps!
Find the diameter of a circle with area 28.3 yd2
Answer:
6.002722642yd
Step-by-step explanation:
Area to Radius:
Area of a circle = (pi)r(squared)
28.3= pi x r2
28.3/pi = r2
9.0081...=r2
square root of 9.0081...= radius
radius= 3.001361321yd*
Radius to Diameter:
diameter = radius x 2
d = 3.001361321* x 2
d = 6.002722642yd*
*i used the full numbers after the decial point because i didnt know if it had to be to like 1 or 2 decimal places or even 3 so i left it like that just in case but you can just write 3 x 2 or 6yd as your final answer!
Hope this helped :)
A board-game club meets each week at the local library. People bring different board games to play, like checkers and chess. Out of the 50 people that meet each week, 67% prefer to play checkers over chess. Construct an 83% confidence interval for the population mean of people that prefer to play checkers over chess.
Using the z-distribution, as we are working with a proportion, it is found that the 83% confidence interval is (0.5789, 0.7611).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have an 83% confidence level, hence[tex]\alpha = 0.93[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.83}{2} = 0.915[/tex], so the critical value is z = 1.37.
The other parameters are [tex]n = 50, \pi = 0.67[/tex].
Then, the bounds of the interval are given as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.5789[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.7611[/tex]
The 83% confidence interval is (0.5789, 0.7611).
More can be learned about the z-distribution at https://brainly.com/question/25890103
Answer:
CI = (57.89%, 76.14%)
Step-by-step explanation:
First, solve for the 83% critical z-value (za/2). Second, solve for the margin of error. Third, solve for the confidence interval by subtracting and adding the margin of error with the sample probability of success.
If RV=w and SU=w–30, what is the value of w?
Answer:
w = 60
Step-by-step explanation:
the midsegment SU is half the measure of side RV , then
SU = [tex]\frac{1}{2}[/tex] RV , so
w - 30 = [tex]\frac{1}{2}[/tex] w ( multiply through by 2 to clear the fraction )
2w - 60 = w ( subtract w from both sides )
w - 60 = 0 ( add 60 to both sides )
w = 60
Round 68.09 to 2 Sf please
How much, in total, did Noel spend to cash her three most recent paychecks?
The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.
What is a paycheck?A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.
How to calculate the amount spent.From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.
Thus, we would compute the amount of money spent by Noel as follows:
Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)
Noel = 2.00 + 2.38 + 2.44 + 4.17
Noel = $10.99.
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Runchuan filled his 6-cup jar with honey. How many times could he fill his 2-fluid-ounce honey bear
from the jar? Explain.
Answer:
144
Step-by-step explanation:
Since there are 48 fluid-ounce in a cup, we can do 6 x 48
6 x 48 = 288
Now we know how much fluid ounces are in the 6 cups we can divide by the honey bear ( 2 fluid ounce ).
288/2 = 144
I AM GIVING AWAY 30 POINTS TO WHOEVER ANSWERS ME
Answer:
Answer B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The venn diagram of the option B is correctIt is a fact that all whole numbers are real numbersBut, all real numbers, such as 3/4, are not always whole numbersOne winter, a group of students measured snowfall totals at their school. This
chart shows how many inches of snow the students measured each month.
How much total snowfall did they receive at their school that winter?D
MONTH
SNOWFALL
December 3.3
January 10.6
February 2.5
Help pls
Answer:
The answer is 16.4 inches
Step-by-step explanation:
The result is calculated by adding all the values together. 3.3+10.6+2.5=16.4
Find the length of the third side. If necessary, round to the nearest tenth. 12 18
Answer (assuming that the shape is a right triangle):
If looking for the hypotenuse: 21.63
If looking for one leg, given other leg is 12, and the hypotenuse is 18: 13.42
Step-by-step explanation:
Given the length of two sides of a right triangle, we can use the pythagorean theorem to find the length of the third side. The pythagorean theorem is [tex]a^{2} + b^{2} = c^{2}[/tex] or [tex]c=\sqrt{(a^{2} + b^{2})}[/tex]. Given this question, I do not know what side of the triangle the problem is looking for, I would assume the hypotenuse, so let's do that first.
[tex]c = \sqrt{(12^{2} +18^{2})} \\c = \sqrt{468} \\c = 21.63[/tex]
Or we can manipulate the equation to find different scenarios of possible legs. Such equation that can be used is [tex]a = \sqrt{c^2 - b^2}[/tex], where c is the hypotenuse.
Only one scenario is possible, with the hypotenuse being 18 because the hypotenuse cannot be less than one of the legs, or that leg basically becomes the hypotenuse because such side is the largest (12 < 18).
So our last scenario is, if we are looking for one leg, given other leg is 12, and the hypotenuse is 18.
[tex]a = \sqrt{18^2-12^2} \\a = \sqrt{180} \\a = 13.42[/tex]
These are our possible answers.
Which point on the number line is at 58/100
Answer:
R
Step-by-step explanation:
If you count the tiks by 10 instead of ones, Q is less than 50, and S and T are both larger than 60. Therefore, R is the only possible answer.
Hope this helped <3 Brainliest please :)
If B (x,y)=(x-3,y+5), what is B(4,7)?
Can anyone help me please
Answer:
(B (4, 7 ) = (1, 12 )
Step-by-step explanation:
given
B (x, y ) = (x - 3, y + 5 ) , then
B (4, 7 ) = (4 - 3, 7 + 5 ) = (1, 12 )
Pablo folds a straw into a triangle with side lengths of 4x2−3 inches, 4x2−2 inches, and 4x2−1 inches. Which expression can be used to find the perimeter of the triangle, and what is the perimeter when x = 1.5?
12x2 −6; 21 inches
12x2; 27 inches
12x2 −6; 30 inches
12x2; 36 inches
Answer:
A.12x2 −6; 21 inches
Step-by-step explanation:
The perimeter of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6
Perimeter of a triangleThe perimeter of a triangle is the sum of all its sides as shown
P = s1 + s2 + s3
Given the following
s1 = 4x^2 - 3
s2 =4x^2 - 2
s3 = 4x^2 - 1
x = 1.5
Take the sum of the sides
P = 12x^2 - 6
Substitute x = 1.5
P = 12(1.5)^2 - 6
P = 21 inches
Hence the perimeter of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6
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#SPJ9
Which choice shows the graph of the solution set for the inequality p - 2 > 6?
(A
"10
"5
0
5
10
B)
10
5
0
5
10
"10
5
HHHO+++
5 10
0
*10
-5
HHHO++++
0 5 10
Answer:
p > 8
Step-by-step explanation:
p - 2 > 6
Add 2 to each side
p > 8
The average January surface water temperatures (°C) of Lake Michigan from 2000 to 2009 were 5.07, 3.57, 5.32, 3.19, 3.49, 4.25, 4.76, 5.19, 3.94, and 4.34. The data set has the following statistics:
x = 4.312
Variance squared2 = 0.577
What is the standard deviation? Round to the nearest thousandth.
0.333
0.760
2.077
18.593
Answer:
the answer is B 0.760
Step-by-step explanation:
i did the test.
When the vertex is the highest point it is called a:.
Answer:
Maximum
Step-by-step explanation:
At the vertex the function is at aits maximum value.
You put $125.32 at the end of each month in an investment plan that pays 2.5% interest, compounded monthly. how much will you have after 23 years? round to the nearest cent. a. $46,683.28 b. $4,564,471.88 c. $2,949.39 d. $3,832.84
After 23 years $125.32 will be matured to $46,683.28.
What is the formula for recurring investment?The formula for Recurring maturity is given by:
[tex]A=Pn +\frac{ P*n*(n+1)}{24} *\frac{r}{100}[/tex]
Where A=matured amount
P =Principal value
n=Number of months
r=Interest rate(annual)
We have P= $125.32
n=23*12 = 276 months
r=2.5*12 =30%
Put these values in the above formula
we get A= $46,683.28
Therefore, After 23 years $125.32 will be matured to $46,683.28.
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Find the average rate of change, in people per year, for the population between the years 1900 and 1920.
Step-by-step explanation:
the average change rate of a function f(x) in an interval [x1 .. x2] is
(f(x2) - f(x1)) / (x2 - x1)
in our case that is
(7000 - 2500) / (20 - 0) = 4500 / 20 = 225
the population changed in average by 225 people per year from 1900 to 1920.
The rectangle is 20 by 16 and the scale factor is 0. 25. What are the dimensions of the reduced rectangle?.
The dimensions of the reduced rectangle are 5(length) and 4(width).
The original length of the rectangle= 20
The original width of the rectangle=16
What is a scale factor?It is the factor by which the size or dimension of an object is dilated.
Reduced length/Original length = 0.25
Reduced length = 0.25 * original length
Reduced length = 0.25 * 20
Reduced length = 5
Reduced width/Original width = 0.25
Reduced width = 0.25 * original width
Reduced width = 0.25 * 16
Reduced width = 4
Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).
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help me !!How many years will it take for the Honda to be worth more than the Range Rover? Justify your
response mathematically.
Answer:
6.03 years
Step-by-step explanation:
The value of the Range Rover decreases 25% per year, so its value "growth" factor is 1-25% = 0.75. The initial value is 60,000, so its exponential value function can be written ...
r(x) = 60000(0.75^x)
The Honda has a "growth" factor of 18000/20000 = 0.90 and an initial value of 20,000, so its exponential value function can be written ...
h(x) = 20000(0.90^x)
__
We want to find x such that h(x) > r(x).
20000(0.90^x) > 60000(0.75^x)
0.90^x > 3(0.75^x) . . . . . . . divide by 20000
(0.90/0.75)^x > 3 . . . . . . . . divide by 0.75^x
x > log(3)/log(1.2) . . . . . . . . take logs, divide by log(1.2)
x > 6.025685
It will take about 6.03 years for the Honda to be worth more.
Im really stuck please help guys?
Answer:
75°
Step-by-step explanation:
180°-105°=75°
Hope this helps!
If not I am sorry.
Julie printed out a picture of each of the four members of her favorite band to decorate her bedroom door. Each picture measures 4 inches by 6 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?
Answer:
96 inches
Step-by-step explanation:
The answer is 96 inches because you have to multiply, 4x6 to get 24 then, since you have four band member pictures,you have to multiply it by four. So it will cover 96 inches.
CO
1 If the area of a rectangle is 306 square centimeters (cm”) and one dimension is 6
centimeters, what is the measurement of the other dimension? Use labeled sketches
and equations to model and solve this problem.
The other dimension is the width of the rectangle
The other dimension is 51 centimeters
How to determine the length of the other dimension?The given parameters are:
Area = 306 square centimeters
Length = 6 centimeters
The area of the rectangle is calculated as:
Area = Length * Width
This gives
306 = 6 * Width
Divide both sides by 6
51 = Width
Hence, the other dimension is 51 centimeters
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Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 π and round your final answer to the nearest hundredth. the radius is 2
Answer:
[tex]10.67\pi[/tex] OR [tex]33.49[/tex]
Step-by-step explanation:
Volume of a Sphere: [tex]\frac{4}{3} *\pi*r^3[/tex]
Radius = 2
[tex]\frac{4}{3} *\pi*r^3[/tex]
[tex]\frac{4}{3} *\pi*2^3[/tex]
[tex]\frac{4}{3} *\pi*8[/tex]
[tex]10.67\pi[/tex]
OR
[tex]\frac{4}{3} *\pi*r^3[/tex]
[tex]\frac{4}{3} *3.14*2^3[/tex]
[tex]\frac{4}{3} *3.14*8[/tex]
[tex]\frac{4}{3} *25.12[/tex]
[tex]33.49[/tex]
Hope this helps!
Part B Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?
The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.
How to explain the square?From the diagram, each side is called the side length. Therefore,
Side length of square 4 = a + bSide length of square 5 = a + bIf the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.
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Solve and Answer correctly the question
Time:-
Distance/Speed250/2125s2min 5sTime started=6AM
time to reach:-
6+0:02:056:02:05 AMwhat is the slope of the line created by the points (9, 8) & (4, -3)?
Answer:
11/5
Step-by-step explanation:
y2-y1/x2-x1
= -3-8/4-9
= -11/-5
= 11/5
Mount Everest has a height of 8,850 meters above
sea level. A hiker at the peak descends 410 meters,
then climbs down another 370 meters. What is the
hiker's new elevation?
Answer:
8,070 meters
Step-by-step explanation:
First we add :)
410 + 370 = 780
Now we subtract :)
8,850 - 780 = 8070
Have an amazing day!!
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