Answer:
4 in
4√2 in
Step-by-step explanation:
Part A
Missing angle= 90°-45°=45°
Missing leg = 4 in as opposite angles are equal
Part B
According to Pythagorean theorem
Hypotenuse²= (4in)²+(4in)²= 32 in²
c=√32 in²= 4√2 in
Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = three-quarters x 2 + 2x − 5 f(x) = StartFraction 4 Over x squared EndFraction minus StartFraction 2 Over x EndFraction + 1 f(x) = 0x2 − 9x + 7
Answer:
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7[/tex]
Required
Which of the above is a quadratic function
A quadratic function has the following form;
[tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function
[tex]1.\ f(x) = -8x^3 - 16x^2 - 4x[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^3 + bx^2 + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
This function has an exact match with [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
By comparison; [tex]a = \frac{3}{4}\ b = 2\ and\ c = -5[/tex]
[tex]3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = \frac{a}{x^2} + \frac{b}{x} + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]4.\ f(x) = 0x^2 - 9x + 7[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^2 +bx + c = 0\ but\ a = 0[/tex]
Unlike the quadratic function where [tex]a\neq 0[/tex]
So, from the list of given options, only [tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex] satisfies the given condition
i need help with this ASAP
Answer:
[tex]1/9[/tex]
Step-by-step explanation:
when you divide a exponents, you subtract them. 4 - 0 = 4
3 to the power of 4 to the power of 2 = 3 to the power of 8, since exponents multiply.
3 to the power of negative 6 * 3 to the power of 8 = 3 to the power of negative 2, since multiplication adds the exponents when the base is equal.
3 to the power of negative 2 is 1/9
Can someone help me out with this?
9) obtuse 10) isosceles
Which of the following could be a solid of revolution?
(A) pyramid
(B) Rectangular prism
(C) sphere
(D) Cube
Answer:
I think it (B) a rectangle prism not to sure tho
Determine if the sequence -184, -207, -230, -253,... is arithmetic or geometric. Then identify the next term in
the sequence.
a arithmetic; -23
b. arithmetic; -276
c. geometric; -23
d. geometric; -276
Answer:
a arithmetic; -23
Step-by-step explanation:
this is not geometric sequence as we don't see multiplication effect in the terms
let's see what is the difference in terms
-207- (-184)= -23
-230- (-207)= -23
-253- (-230)= -23
we can state it is an AP with common difference of -23
option a. is correct
Any ratio can be written as a complex ratio. Any ratio can be written as a
complex ratio. *
O True
O False
The given statement that any ratio can be written as a complex ratio is;
Option A; True.
A complex ratio is simple defined as a ratio to a ratio.For example if the numerator is a ratio/fraction and the denominator is also a ratio or fraction. Such as; (3/4)/(5/8), (2/3)/(4/5) e.t.c.
Now, let us say we have a simple ratio like 7/8. Now we can also express this as a complex ratio because;7 is same as 14/2
Also, 8 is the same as 24/3.
Thus, we can write that; 7/8 = (14/2)/(24/3)
From the example of converting a simple ratio to a complex one, we can see that any ratio can be converted to a complex ratio.Read more at; https://brainly.com/question/9280099
Please help. 10 points and brainliest.
Answer:
D
Step-by-step explanation:
sqrt(20*x^6*y^5)
sqrt(5*2*2*x^3*x^3*y^2*y^2*y^1)
2x^3*y^2*sqrt(5y)
this is D
Find the coordinates of the midpoint of the segment in the picture
above.
O a. (-.5, 3)
o b. (-3.5, -2)
O C. (-4.5, -1)
O d. (-7,-4)
A parabola has a vertex at (-1,0) and opens down. What is the equation of the parabola?
Answer:
y = - (x + 1)²
Step-by-step explanation:
Vertex form of a parabola is given by,
y = -(x - h)² + k
Where (h, k) is the ordered pair representing vertex.
(-) sign denotes that the parabola is opening downwards.
If the coordinates of the given parabola is (-1, 0)
Equation of the parabola will be,
y = - (x + 1)² + 0
y = - (x + 1)²
Therefore, equation of the parabola will be, y = - (x + 1)²
Find x in the given figure if m∠AOC = 130°. Question 7 options: A) –14 B) 8 C) 10.5 D) 14
Answer:
B) x=8
Step-by-step explanation:
To solve, we must find x like so:
We know that angle AOC = 130, so adding AOB and BOC will equal 130, then we solve for x.
[tex](6x-5)+(8x+23)=130\\6x-5+8x+23=130\\14x+18=130\\14x=130-18\\14x=112\\x=\frac{112}{14}\\x=8[/tex]
Write y = 2/3 x+ 7 in standard form using integers.
Answer:
Step-by-step explanation:
y=2/3 x+7
multiply by 3
3y=2x+21
2x-3y+21=0
or 2x-3y=-21
The table below shows the price of movie tickets. Which equation can be used to find the price, p, of t tickets?
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
What is the answer to this 8-(-8)=
Answer:
16
Step-by-step explanation:
the two negatives cancel out so if you are subtracting -8 from 8 you would actually end up adding them.
hope it helps!
Answer:
16
Step-by-step explanation:
personally I learned that when I see " -(- " in a equation it just means addition.
PLZ HELP NO WORK NEEDED JUST GIVE ME A PROPER ANSWER!
Answer:
incorrect: y= -1.5x
correct: The slope is 3.
HOPE I HELPED!!!
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-7)/(-6-(-2))
m=2/-4
m=-1/2
What is the coefficient of the 2nd term of the following expression when written in standard form:
〖(7+4x)〗^3
Answer:
336
Step-by-step explanation:
Given the expansion: [tex](7+4x)^3[/tex]
[tex](7+4x)^3\\\\=(7+4x)^2*(7+4x)\\\\=(7+4x)(16x^2+56x+49)\\\\=7(16x^2+56x+49)+4x(16x^2+56x+49)\\\\=112x^2+392x+343+64x^3+224x^2+196x\\\\=64x^3+112x^2+224x^2+392x+196x+343\\\\=64x^3+336x^2+588x+343[/tex]
Therefore, the coefficient of the second term is 336.
Which of the lines below is a line of symmetry?
A. Neither
B. Red
C. Yellow
D. Both
Answer:
d, both
Step-by-step explanation:
both separe two identical halves :)
Both yellow and red lines are lines of symmetry to the given figure, Option D is correct.
What is Coordinate System?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.
We know that the diameter of a circle is a line passing through its center. So, the diameter acts as a line of symmetry dividing the circle into two parts with equal area.
In the given figure both the lines represents symmetry as both the lines are dividing the figure to two equal parts.
Hence, both yellow and red lines are lines of symmetry to the given figure, Option D is correct.
To learn more on Coordinate system click:
https://brainly.com/question/30241634
#SPJ5
Half of a number plus three
times the number.
Write it in expression or equation solve the equation
Answer:
Step-by-step explanation:
Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 392 meters
Answer:
the length is 98 meters and the width 98 meterss
Step-by-step explanation:
We have that the length is l and the width is w, we know that:
P = 2 * w + 2 * l
if we solve for it, we have:
l = P / 2 - w
Now, we know that the area is:
A = l * w
if we replace l, we are left with:
A = (P / 2 - w) * w
A = P * w / 2 - w ^ 2
we derive to know the maximum area and we equal 0 and we have:
A '= P / 2 - 2 * w
0 = P / 2 - 2 * w
w = P / 4
now for him:
l = P / 2 - P / 4
l = P / 4
Therefore, if we replace:
l = 392/4 = 98
w = 392/4 = 98
For the maximum area the length is 98 meters and the width 98 meterss
2(x-3)=16 solve for x
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
[tex]2\left(x-3\right)=16\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2\left(x-3\right)}{2}=\frac{16}{2}\\Simplify\\x-3=8\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\x-3+3=8+3\\x=11[/tex]
Answer:
tbh idk ask someone else. i take pre-cal
Step-by-step explanation:
Which of the following is a random sample?
Answer:
A.
Step-by-step explanation:
A. City voters were asked about candidates. That seems to be random.
B. A survey about singers took place at a specific concert. Naturally, the people who are there like this singer. It is not random.
C. Customers were asked about food at a pizza shop. Naturally, they like pizza. This is not random.
D. An email survey was sent. Mostly people who own computers will respond. This is not random.
Answer: A.
I appreciate all of the help! I need help again so sorry :(
Answer:
46
Step-by-step explanation:
44+x=90
x=46
Answer:
46 degrees
Step-by-step explanation:
When two angles are complementary, their measures must add up to 90 degrees. Therefore:
a+b=90
44+b=90
b=90-44
b=46 degrees
Hope this helps!
A box contains 24 transistors, 4 of which are defective. If 4 are sold at random, find the following probabilities. [4×5 marks] A box contains 24 transistors, 4 of which are defective. If 4 are sold at random, find the following probabilities.
a) Exactly 2 are defectives.
b) None is defective.
c) All are defective.
d) At least 1 is defective.
Answer:
a) 10.73%
b) 45.60%
c) 0.0094%
d) 54.4%
Step-by-step explanation:
The probability of one transistor being defective is equal the number of defective transistors over the total number of transistors
a)
The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. The probability of the third one being not defective is 20/22, and the fourth one not being defective is 19/21. We also multiply the final probability by a combination of 4 choose 2, because the defective transistors can be any 2 of the group of 4:
C(4,2) = 4! / (2! * 2!) = 6
P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%
b)
Similar to the letter a), we have:
First one not defective: P = 20/24
Second one not defective: P = 19/23
Third one not defective: P = 18/22
Fourth one not defective: P = 17/21
P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%
c)
First one defective: P = 4/24
Second one defective: P = 3/23
Third one defective: P = 2/22
Fourth one defective: P = 1/21
P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%
d)
If we want at least 1 defective, we just need to subtract 100% from the case where all 4 are not defective:
P = 1 - 0.4560 = 0.5440 = 54.4%
In this exercise we have to use the knowledge of probability to calculate each of the requested probabilities, so we can say that:
a) [tex]10.73\%[/tex]
b) [tex]45.60\%[/tex]
c) [tex]0.0094\%[/tex]
d) [tex]54.4\%[/tex]
a)The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. So the combination will be:
[tex]C(4,2) = 4! / (2! * 2!) = 6\\P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%[/tex]
b)So find the not defective, we have:
First one: P = 20/24 Second one: P = 19/23 Third one: P = 18/22 Fourth one: P = 17/21
[tex]P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%[/tex]
c)So find the defective, we have:
First one: P = 4/24 Second one: P = 3/23 Third one: P = 2/22 Fourth one: P = 1/21
[tex]P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%[/tex]
d)We just need to subtract 100% from the case where all 4 are not defective:
[tex]P = 1 - 0.4560 = 0.5440 = 54.4%[/tex]
See more about probability at brainly.com/question/743546
(30 POINTS WILL GIVE BRAINLEST ONLY RIGHT ANSWERS) Michael started a savings account with $100. After 6 weeks, he had $140, and after 12 weeks, he had $260. What is the rate of change of money in his savings account per week?
ok for real now doesn't make sense to me at all help-
An equation of the circle whose center is the origin and
which passes through the point (3,0) is
A (x – 3)2 + y2 = 9
B (x – 3)2 + y2 = 3
© x2 + y2 = 9
O x + y2 = 3
Answer:
[tex]\fbox{\begin{minipage}{10em}Option C is correct\end{minipage}}[/tex]
Explanation:
A circle whose center is [tex](a, b)[/tex] and radius [tex]r[/tex], has equation:
[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex]
The center of circle is given as origin [tex](0, 0)[/tex], therefore:
[tex]a = 0\\b = 0[/tex]
This circle passes [tex](3, 0)[/tex], then the radius of circle is the distance [tex](d)[/tex] between origin [tex](0, 0)[/tex] and [tex](3, 0)[/tex]
[tex]d = \sqrt{(0 - 3)^{2} + (0 - 0)^{2} } = \sqrt{3^{2} } = 3[/tex]
=> [tex]r = d = 3[/tex]
Substitute [tex]a[/tex], [tex]b[/tex], and [tex]r[/tex] back into original equation:
[tex](x - 0)^{2} + (y - 0)^{2} = 3^{2}[/tex]
or
[tex]x^{2} + y^{2} = 9[/tex]
Hope this helps!
:)
Your fixed expenses are $1,035.65/month and are 36% of your
realized income. Use proportions to compute the realized
income on your budget.
/month
Answer:
Your realized income is an estamated $2876.81 per month
Step-by-step explanation:
36% can be translated to decimal form as 0.36, when multiplying 2876.81 times 0.36 you get 1035.65, making your estimated Total monthly income $2876.81
Draw rectangles such as the ones shown to find fraction equivalent to 2/5 and 1/3 that have the same denominator
Answer:
2/5: 1/3:
6/15 5/15
Step-by-step explanation:
Sorry I couldn't upload a photo for some reason. If you multiply 2/5 by 3 you'll get 6/15, and if you multiply 1/3 by 5 you will get 5/15. I really hope this helps, and yes, I double-checked, it is correct. Have a great day!!!
Which function has zeros at x = 3 and x = 7?
Answer:
f(x)= (x-3)(x-7)
Step-by-step explanation:
Nate asked some of his friends how many people live in their homes. The answers were: 4,3,3,6, 10, 7, 4, and 3.
What is the range of the data?
Answer:
7
Step-by-step explanation:
10-3=7
solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c
Which expression does not represent "the sum of n and 6"? n + 6 6 n 6 + n
Answer:
Step-by-step explanation:
6n because 6n it's 6 times n
______________________________
Hey!!
Answer: 6n
6n does not represent "the sum of n and 6"
6n represents "the product of n and 6"
Hope it helps..
Good luck on your assignment
___________________________