Answer:
80,000
Step-by-step explanation:
20,000 x 2 = 40,000
40,000 x 2 = 80,000
(I'm pretty sure it's right if not let me know.)
Fill in the missing statement and reason for the proof below.
Given: AB = AC and BE = CE
Prove: BDE = CDE
Factor completely 16x8 − 1. (4x4 − 1)(4x4 1) (2x2 − 1)(2x2 1)(4x4 1) (2x2 − 1)(2x2 1)(2x2 1)(2x2 1) (2x2 − 1)(2x2 1)(4x4 − 1).
The factors of the expression specified is given by: Option B: [tex](2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]
What are some basic properties of exponentiation?If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c[/tex]
What is the product result of (a+b)(a-b) ?Suppose two numbers are there as 'a' and 'b'.
Then, we get:
[tex](a+b)(a-b) = a(a-b) + b(a-b) = a^2 -ab + ab - b^2 = a^2 - b^2\\(a+b)(a-b) = a^2 - b^2[/tex]
For the considered case, factoring the considered expression [tex]16x^8 - 1[/tex] by rewriting it as:
[tex]16x^8 - 1 = (4 \times 4 \times x^4 \times x^4) - 1^2 = (4x^4)^2 -1^2\\\\\\[/tex]
Now, since we've got [tex](a+b)(a-b) = a^2 - b^2[/tex], therefore,
[tex]16x^8 - 1 = (4x^4)^2 -1^2\\16x^8 - 1 = (4x^4 +1 )(4x^4 - 1)[/tex]
The second term can also be factored using same property, as shown below:
[tex]16x^8 - 1 = (4x^4 +1 )(4x^4 - 1) = (4x^4 + 1)((2x^2)^2 - 1^2) \\16x^8 - 1 = (4x^4 + 1)(2x^2 + 1)(2x^2 - 1)\\\\\text{Rearranging the terms, we get}\\16x^8 - 1 = (2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]
Therefore, the factors of the expression specified is given by: Option B: [tex](2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]
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Answer:
Option B
Step-by-step explanation:
I took the test.
Find the equation of the line that passes through the point (8, - 3) and is perpendicular to the line y = 1/2x - 2.
Answer: y+3=0.5(x-8)
Step-by-step explanation:
Ifm_1= 550, what is m_5?
NEED HELP ASAPP
A car uses fuel at a rate of 15 miles per gallon. Predict how many miles the car can travel on 31.5 gallons of fuel.
Answer:
472.5 Miles
Step-by-step explanation:
1:15
10:150
20:300
30:450
.5:7.5
30x+1x+5x=450+15+7.5=472.5 miles
Please help me solve this. its very simple. you will get a lot of points too.
The equation has one solution and it is x = 91/30
Let's take a glimpse at the solution
[tex]6 + 9( - 3x + 9) = \frac{3}{2} (2x + 4) - 10[/tex]
[tex]6 - 27x + 81 = \frac{3}{2} \times 2(x + 2) - 10[/tex]
[tex]6 - 27x + 81 = 3(x + 2) - 10[/tex]
[tex]6 - 27x + 81 = 3x + 6 - 10[/tex]
[tex] - 27x + 81 = 3x - 10[/tex]
[tex] - 27x - 3x = - 10 - 81[/tex]
[tex] - 30x = - 91[/tex]
[tex]x = \frac{91}{30} [/tex]
Suppose that p partners equally share the profits from a sale of $3,600. Which algebraic expression represents this situation?
3600 + p
3600 minus p
3600 p
StartFraction 3600 over p EndFraction PLEASE ASAP
Answer:
3600/p
Step-by-step explanation:
i think it's the last option because you cannot add or subtract the partners from the profit.
What is 6 out of 120 expressed as a percentage
Please help with this question
Answer:
384π cm³
Step-by-step explanation:
Formula for the volume of a cone is [tex]\displaystyle \large{\frac{1}{3}\pi r^2 h}[/tex] where:—
r is radiush is heightOur radius is given in an attachment which is 12 cm and height is 8 cm. Substitute these values in the formula:—
[tex]\displaystyle \large{V = \frac{1}{3}\pi (12)^2 \cdot 8}\\\displaystyle \large{V = \frac{1}{3}\pi \cdot 144 \cdot 8}\\\displaystyle \large{V = 48 \pi \cdot 8}\\\displaystyle \large{V = 384 \pi}[/tex]
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Summary
Volume (Cone)
[tex]\displaystyle \large{V = \frac{1}{3}\pi r^2 h}[/tex] where:—
h is height or perpendicular.
r is radius.
Value of Pi (Commonly Used)
[tex]\displaystyle \large{\pi \approx 3.14}[/tex]
__________________________________________________________
If you have any questions regarding this problem or need clarification for my answer or explanation, do not hesitate to ask in comment! Good luck on your assignment and have a great day!
The length of adult parakeets is normally distributed. If the mean length is 8 inches with a standard deviation of 0.25 inches, what is the probability that a randomly selected adult parakeet will be less than 7.55 inches long?
There is a probability of 3.95% that the randomly selected adult parakeet will be less than 7.55 inches long
What is z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean)/standard deviation
Given that:
Mean = 8 inches, standard deviation = 0.25 in, For < 7.55 in:
z = (7.55 - 8) / 0.25 = -1.8
P(z < -1/8) = 0.0395
There is a probability of 3.95% that the randomly selected adult parakeet will be less than 7.55 inches long
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
These two triangular prisms are similar. Figure 2 is similar to figure 1 by a scale factor of 4.
If the perimeter of [tex]ABC[/tex] is 21 cm, the perimeter of [tex]PQR[/tex] is cm.
The perimeter of the face PQR is 84 cm.
What is perimeter?The perimeter of an object is the sum of the lengths of the sides of the object.
Given that, there are two similar triangular prisms. Figure 2 is similar to figure 1 by a scale factor of 4.
We know that, the ratio of the perimeters of similar objects is equal to their scale factor.
Therefore,
P(ABC) / P(PQR) = 1/4
21 / P(PQR) = 1/4
P(PQR) = 84
Hence, the perimeter of the face PQR is 84 cm.
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PLS HELP GIVEING BRANLIEST
Answer:
25
Step-by-step explanation:
2 to the power of 4 + 16
3 to the power of 2 = 9
so, 16 + 9 is 25...
Step-by-step explanation:
[tex] {2}^{4 + } {3}^{2} [/tex]
=2x2x2x2+3x3
=16+9
=25
Choose the student who modeled the relationship correctly in a table.
Beatriz makes $7.80 per hour.
Zohar's work. A 2-column table with 3 rows. Column 1 is labeled Dollars (x) with entries 7.80, 15.60, 23.40. Column 2 is labeled hours (y) with entries 1, 2, 3.
Felipe's work. A 2-column table with 3 rows. Column 1 is labeled hours (x) with entries 1, 2, 3. Column 2 is labeled dollars (y) with entries 7.80, 15.60, 23.40.
Leonie's work. A 2-column table with 3 rows. Column 1 is labeled 1 (x) with entries 2, 3, 4. Column 2 is labeled 7.80 (y) with entries 1, 2, 3.
Answer:
The second choice
Step-by-step explanation:
Answer: Felipe's work!
Step-by-step explanation:
In Rectangle ABCD diagonals AC and BD intersect at point P. If PD = 4x and AC = 88, solve for x.
Answer: 11
In rectangle diagonals are equal and bisect each other.
Therefore,
2×4x=88
8x=88
x=88÷8
x=11
Step-by-step explanation:
Find the measure of b.
Answer:
I'm not so sure but it's 90°
If the sales tax is 8 percent, the wealthy family pays, to one decimal place, _____ percent of its annual income in sales tax
Answer:
23
Step-by-step explanation:
trust me this is not the answer I got it wrong hope it helps a little
PLEASE HELP DUE SOON! THANK YOU ( Will give brainliest!!!)
Consider that a barn loft is shaped like a rectangular pyramid, as ahsown. Calculate the volume of the loft.
A)2,750 ft3
B)4,375 ft^3
C)6,425 ft^3
D)13,125 ft^3
Answer:
B
Step-by-step explanation:
answer is B, 4,375 ft^3
[tex]V= \frac{lwh}{3}=\frac{25 x 35 x 15}{3} = 4 ,375ft^3[/tex]
(x = multiplication symbol)
161,743 vinyl records were sold in 1967.
Answer:
yes thats right 161,743 vinyl records were sold in 1967.
Please help!!! I’ll mark you brainliest if you answer!!!
Answer:
The cordinate is (7,6)
Step-by-step explanation:
First you count how many squares (units) until you are directly under P. Then you cound how many squares up it is till you get to P.
Have an amazing day!
Please rate!
Answer:
7,6
Step-by-step explanation:
cuz yes
Solve the following word problems using the BUCKS strategy. Remember to show your work.
Pete rented a bike from Bob’s Bikes. It costs $13 plus $5 for every hour. If Pete paid $23, then how many hours did he rent the bike for?
Answer:
5 is the answer of the question
Answer:
He rent the bike for 2 hours.
Step-by-step explanation:
5x + 13= 23
I honestly just 13+5= 18
Then 18+5= 23
That is how I knew it was 2 hours.
It probably wasn't the right way to do it, but it was the way I thought it through. Sorry if this doesn't help. Have a great day.
can somone help:) pls
Blake is signing a lease for a studio apartment that rents for $425/month. How much will Blake pay to move in if he must pay the first and last months’ rent and a security deposit equal to 50% of his monthly rent? $637. 50 $850. 00 $1062. 50 $1275. 0.
Answer:
(c) $1062.50
Step-by-step explanation:
The total of the rental and security deposits amounts to two and a half months' rent:
2.5 × $425 = 1062.50
It will cost Blake $1062.50 to move in.
help!
(1) x-m/n+m=x-n/n-m
(2) simplify:
(3)
Answer:
x=0,(m+n)
Step-by-step explanation:
what is the measure of angle y ?
Answer:
163 degrees
Step-by-step explanation:
because the whole circle is 360 degrees and the other side would be 163 as it's the same angle.
I need help with my khan academy, I don't understand anything and it's hard to do my work..
Answer:
(x - 7)² = 9
Step-by-step explanation:
x² - 14x + 40 = 0 ( subtract 40 from both sides )
x² - 14x = - 40
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 7)x + 49 = - 40 + 49
(x - 7)² = 9
Answer:
[tex]\sf (x-\boxed{\bf7}\:)^2=\boxed{\bf9}[/tex]
Step-by-step explanation:
First of all, let's move the constant term to the right side of the equation:-
[tex]\sf x^{2} -14=-40[/tex]
To complete the square we'll take half of the coefficient of our x term, square it, and add it to both sides of the equation. Since the coefficient of our x term is -14 ,half of it would be -7 and squaring it gives us 49.
[tex]\sf x^2-14x+49=-40+49[/tex]
Now, we can rewrite the left side of the equation as a squared term.
[tex]\sf (x-7)^2=9[/tex]
_____________________
Hope this helps!
Have a great day!
The hardware store sells white buckets, which hold 5 liters of water, and red buckets, which hold 6 liters.
Jayce bought 10 buckets. His buckets will hold 55 liters in total. How many of each type of bucket did
Jayce buy?
white buckets
red buckets
Submit
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS
Answer:
DC
Step-by-step explanation:
DC is the diameter AE is the radiusDB is a chordBC is very short cordSo the series is
DC>DB>AE>BCAnswer:
b. DC
b. 15
Step-by-step explanation:
Point A = center of circle
The widest part of the circle is the diameter. The diameter is a straight line that touches the circumference of the circle and passes through the center of the circle. Therefore, the diameter is DC, and this is the longest line segment.
The radius of a circle is a straight line from the center of the circle to a point on the circumference. Therefore, AE = radius of the circle.
The radius of a circle is half the length of the diameter.
Therefore, if AE = 7.5, then DC = 2 × 7.5 = 15
please help im struggling so much
Answer:
B. y=-10,250
C. 6 payments
Sorry for my terrible handwriting.. Hope this helps tho! Have a great day/night!
what is the area for this?
what is(12^2)^7*12 as single exponent?
Answer:
12^15
Step-by-step explanation:
(12^2)^7 would be 12^14 because the two exponents (2 and 7) will multiply each other. Then, you do 12^14 * 12, which would be 12^15 because you are multiplying 12 by itself one more time.