Find the value of x and the value of y
Answer:
B. x = 7, y = 4√2
Step-by-step explanation:
Drop a vertical from the upper left corner
This creates a rectangle and a 45-45-90 triangle
The bottom of the rectangle is 3
The legs of the triangle are 4
Therefor
x = 4 + 3
x = 7
For a 45-45-90 triangle
the hypotenuse = leg * √2
y = 4√2
What is the lower fence of this data set?
25, 27, 28, 30, 30, 31, 38
Round your answer to the nearest hundredth.
Answer:
38.6598 ° or 38.66 °
Step-by-step explanation:
Sides:
a = 4 cm
b = 6.40312 cm
c = 5 cm
Angles:
A = 38.6598 °
B = 90 °
C = 51.3402 °
Other:
P = 15.4031 cm
s = 7.70156 cm
K = 10 cm2
r = 1.29844 cm
R = 3.20156 cm
Agenda:
A = angle A
B = angle B
C = angle C
a = side a
b = side b
c = side c
P = perimeter
s = semi-perimeter
K = area
r = radius of inscribed circle
R = radius of circumscribed circle
in the expansion of (2a 4b)8, which of the following are possible variable terms? explain your reasoning. a2b3; a8; a5b3; ab8; a3b5; a7b; a6b5; b8
The possible variable terms are a2b3, a5b3, ab8, a3b5, a7b, and a6b5. These terms all contain the same number of a's and b's as the original expression, (2a4b)8.
The expansion of (2a 4b)8 can be found by multiplying the a coefficients and b coefficients by 8. The a coefficients would increase by a factor of 8 and the b coefficients would increase by a factor of 8. This means that the possible variable terms for (2a 4b)8 are all those that have 8 a's and 8 b's. This includes a2b3, a5b3, ab8, a3b5, a7b, and a6b5. These terms all contain the same number of a's and b's as the original expression, (2a4b)8, but with the coefficients multiplied by 8. For example, the term a2b3 would be the result of multiplying 2a4b by 8, which results in 16a32b. This can be simplified to a2b3. Similarly, a5b3 would be the result of multiplying 2a4b by 8, which results in 16a32b. This can be simplified to a5b3.
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Andrei, Amit and Andrew were each asked to factor the term 20x^620x
6
20, x, start superscript, 6, end superscript as the product of two monomials. Their responses are shown below.
Andrei Amit Andrew
20x^6=(2x)(10x^5)20x
6
=(2x)(10x
5
)20, x, start superscript, 6, end superscript, equals, left parenthesis, 2, x, right parenthesis, left parenthesis, 10, x, start superscript, 5, end superscript, right parenthesis 20x^6=(4x^3)(5x^3)20x
6
=(4x
3
)(5x
3
)20, x, start superscript, 6, end superscript, equals, left parenthesis, 4, x, cubed, right parenthesis, left parenthesis, 5, x, cubed, right parenthesis 20x^6=(20x^2)(x^3)20x
6
=(20x
2
)(x
3
)20, x, start superscript, 6, end superscript, equals, left parenthesis, 20, x, squared, right parenthesis, left parenthesis, x, cubed, right parenthesis
1) Which of the students factored 20x^620x
6
20, x, start superscript, 6, end superscript correctly?
Choose all answers that apply:
Choose all answers that apply:
(Choice A) Andrei
A
Andrei
(Choice B) Amit
B
Amit
(Choice C) Andrew
C
Andrew
(Choice D) None of the above
D
None of the above
Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.
Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.
Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.
Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.
Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.
The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.
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Answer please :) I honestly don’t know and confused
68
I think, unless if it is multiplied =48
Answer:
48
Step-by-step explanation:
the h value is 8, so multiply 6 and 8,
for future reference, is there is no symbol in the middle, then you always multiply it
a student spelled 92% of the words on a spelling test correctly. If the test had 25 questions, how many words did the student spell correctly
Answer:
23
Step-by-step explanation:
25*92%=23
answer:
I guess its 23
description:
what's the answer pls help
Answer:
a b d
Step-by-step explanation:
c and e is dividing by 0 you can not divide by zero but the others will equal 0
Select the correct answer from the drop-down menu.
Which is the correct math symbol to compare these numbers?
6
3
Step-by-step explanation:
wheres pic ....... ...................
write and equation of the line that passes through 2,2 and is parallel to the line y=7x
Answer:
y = 7x+2
Step-by-step explanation:
I just need help with this question please
Answer:
71.286
Step-by-step explanation:
60 x .09 = 65.4
65.4 x .09 = 71.286
Answer:
$71.29
Step-by-step explanation:
$60 x 1.09 = $65.40 (year one)
$65.40 x 1.09 = $71.286 (year two)
Solve:(1/7)x +(1/6)y =3 ; (1/2)x - (1/3)y =5
Answer:
(14, 6 )
Step-by-step explanation:
Given
\(\frac{1}{7}\) x + \(\frac{1}{6}\) y = 3 ( multiply through by 42 to clear the fractions )
6x + 7y = 126 → (1)
\(\frac{1}{2}\) x - \(\frac{1}{3}\) y = 5 ( multiply through by 6 to clear the fractions )
3x - 2y = 30 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the x- term
- 6x + 4y = - 60 → (3)
Add (1) and (3)term by term to eliminate x
11y = 66 ( divide both sides by 11 )
y = 6
Substitute y = 6 into either of the 2 equations and evaluate for x
Substituting into (1)
6x + 7(6) = 126
6x + 42 = 126 ( subtract 42 from both sides )
6x = 84 ( divide both sides by 6 )
x = 14
Solution is (14, 6 )
Given f of x is equal to the quantity x plus 6 end quantity divided by the quantity x squared minus 9x plus 18 end quantity, which of the following is true
The correct answer is option D which is f(x) is decreasing for all the values of x < 3.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The value of the function \(f(x) = \dfrac{x+6}{x^2-9x+18}\) is represented on the graph in the graph we can see that at x>6 the value of the function is decreasing and at x<3 the value of the function is increasing.
Therefore the correct answer is option D which is f(x) is decreasing for all the values of x < 3.
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3. Penny's family decided to go to the Splash Park.
They purchased two adult tickets and two child
tickets. The adult tickets were 1į times the price
of the child tickets and the total cost for all four
tickets was $85. What was the cost of each type
of ticket?
Answer:
21.25
Step-by-step explanation:
because 85$ divided by the 4 tickets is 21.25
Pls pls help I’ll mark u brainliesttt
Answer:
89.44
Step-by-step explanation:
\(120^2-80^2=8000\)
\(\sqrt{8000} = 89.44\)
simplify (7^5)^3
A. 7^15
B. 35^3
C. 7^8
D. (1/7)^3
Answer:
7^15
Step-by-step explanation:
7^5^3 = 7^(5*3) = 7^15
Kobina sells apple pies for 10gh each.kojo sells beverages for ghc1 each.if kobina sells 23 apple pies and kojo sells 17 beverages,what is the total in sales for both producs combined?
Answer:
680
Step-by-step explanation:
Based on the given conditions, formulate: 17 × ( 23 + 17 )
Calculate the sum or difference: 17 × 40
Calculate the product or quotient: 680
get the result: 680
Answer: 680
(Hope this helps can I pls have brainlist (crown)☺️)
will mark brainleist pls help
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
What is the product of the polynomials below?
(5x²-x-3)(2x+6)
OA. 10x² +28x² +12x+3
OB. 10x³ +28x2² -12x-18
OC. 10x²+28x²-12x-3
OD. 10x² +28x² + 12x+18
Answer: B
Step-by-step explanation:
\((5x^2 -x-3)(2x+6)\\\\=2x(5x^2 - x-3)+6(5x^2 - x-3)\\\\=10x^3 - 2x^2 - 6x+30x^2 - 6x-18\\\\=\boxed{10x^3 +28x^2 - 12x-18}\)
what is the x-intercept of th line 6x-3y=24
Answer:
4
Step-by-step explanation:
The \(x\) intercept is where \(y=0\).
\(6x-3(0)=24 \\ \\ 6x=24 \\ \\ x=4\)
Please help! Cant quite figure out what I’m supposed to do to solve this
Answer:
A
Step-by-step explanation:
To answer this question, we can use the following co-function identity:
\(\sin(\theta)=\cos(90\textdegree-\theta)\)
We know that sin(21°) is 0.36. This means that:
\(0.36=\sin(21\textdegree)=\cos(90\textdegree-21\textdegree)\)
Subtract within the cosine:
\(0.36=\sin(21\textdegree)=\cos(69\textdegree)\)
We can remove our second term:
\(\cos(69\textdegree)=0.36\)
So, our answer is A.
And we're done!
A football is originally priced at $15. In this state, the sales tax rate is 7%. What was the total price of the football?
Answer:
107%=16.06
Step-by-step explanation:
im pretty sure that's it, if its not please correct me.
3x + 2y = 21
4x -3y = -6
Answer:
the answer is (3, 6)
happy to help!
Can yall hel me with this pls
Answer:
X = 10
Z = 67
Step-by-step explanation:
We see that the angles are formed by the intersection of two lines.
Angles z and 67° are vertically opposite angles and therefore they are equal to each other
z°= 67°
Angles z and (7x + 43) are supplementary angles. The sum of these angles add up to 180°
z + 7x + 43 = 180
67 + 7x + 43 = 180
7x + 110 = 180
7x = 180 -110 = 70
x = 70/7 = 10
Can I please get help with B
Answer:
sure just bring the question and it will be answered
HELP PLSSSSSSSSSSSSSSSSSS NEED THIS ASAP
Answer:
Step-by-step explanation:
First you have to find out how many red were in the original 27 marbles.
If there were 7 Black and 4 Yellow - this is 11 so 27 - 11 = 16 RED.
Removing 3 Black - changes the the can to 24 marbles.
4 Black - 4 Yellow and 16 Red.
So probability the random pick is red after the removal of 3 Black is
16 out of 24. \(\frac{16}{24}\)
This reduces to 2/3.
Choice (K)
Answer:
Step-by-step explanation:
There are 27 marbles which include 7 black marbles
4 yellow marbles
Therefore, the number of red marbles=27-(7+4) marbles
=16 red marbles
When 3 black marbles are removed from the can, the total number of marbles become 24, which includes the 4 black marbles,4 yellow marbles and 16 red marbles.
So, the probability of the picking of a random red marble from the can after removing the black marbles = 16÷24
This when reduced gives the result 2÷3.
Hence, the answer is option K which means the probability that it was red is 2/3.
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Estimate the integral integrate 1/(x ^ 2) dx from 1 to 2 with n=4 and
a) Find an upper bound for ET
b) Evaluate the integral directly and find the error ET
c) Express the error as the percentage of the true value of the integral
a) an upper bound for ET is 1/12.
b) The error ET is 1/2.
c) As a percentage of the true value of the integral, the error is 0%.
To estimate the integral ∫(1/x^2) dx from 1 to 2 with n = 4, we can use the trapezoidal rule.
a) To find an upper bound for the error ET, we can use the formula:
ET ≤ (b - a)^3 / (12n^2) * max|f''(x)|
In this case, a = 1, b = 2, and n = 4. The second derivative of f(x) = 1/x^2 is f''(x) = 2/x^4. We need to find the maximum value of f''(x) on the interval [1, 2].
Taking the derivative of f''(x), we get f'''(x) = -8/x^5. Since f'''(x) is negative for all x in the interval [1, 2], the maximum value of f''(x) occurs at x = 1.
Substituting these values into the error bound formula, we have:
ET ≤ (2 - 1)^3 / (12 * 4^2) * max|f''(x)|
ET ≤ 1 / 192 * (2/1)^4
ET ≤ 16/192
ET ≤ 1/12
Therefore, an upper bound for ET is 1/12.
b) To evaluate the integral directly, we have:
∫(1/x^2) dx = [-1/x] from 1 to 2
= (-1/2) - (-1/1)
= -1/2 + 1
= 1/2
c) To find the error ET, we subtract the estimated value from the true value of the integral:
ET = |True value - Estimated value|
ET = |1/2 - 1/2|
ET = 0
The error is 0, which means the estimated value using the trapezoidal rule is exact for this integral.
As a percentage of the true value of the integral, the error is 0%.
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someone please answer this its confusing me
What is the answer to this? Will someone help me?
5+(9)(6)
Answer:
The answer would be 59
Step-by-step explanation:
first 9 times 6 which is 54 then you add 4 and 54 plus 4 is 59 and also PEMDAS first is Multiplication and then addition hope this helps :D And keep learning !
14. Classify the figure below. Identify how many faces, vertices, and edges.
Answer:
5 faces
8 edges
5 vertices