Answer:
STEP 1
Equation at the end of step 1
(((x3) - 22x2) - 11x) + 30
STEP 2
Checking for a perfect cube
2.1 x3-4x2-11x+30 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-4x2-11x+30
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -11x+30
Group 2: x3-4x2
Pull out from each group separately :
Group 1: (-11x+30) • (1) = (11x-30) • (-1)
Group 2: (x-4) • (x2)
Anybody knows all of them?
Answer:
A, B, C, F, G
Step-by-step explanation:
The above-listed properties are inherited from a parallelogram. The properties not inherited from a parallelogram are ...
D (diagonals are angle bisectors) is inherited from a rhombus
E (congruent diagonals) is inherited from a rectangle
H (perpendicular diagonals) is inherited from a rhombus
A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture
Answer:
Length of diagonal of picture = 15.30 inches
Step-by-step explanation:
Given that:
Side lengths of picture frame = 12 inches by 9.5 inches
As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.
Using Pythagorean theorem;
a²+b²=c²
Putting the values in the theorem
[tex](12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25[/tex]
Taking square root on both sides
[tex]\sqrt{c^2}=\sqrt{234.25}\\c=15.30[/tex]
Hence,
Length of diagonal of picture = 15.30 inches
Ramon simplified this expression correctly. Here is what he wrote 12x+2-5. 12x-3 why didn't Ramon combine the 12x with the 2 or -5
Answer:
He didn't combine the 12 with the two or the -5 because it has a variable.
Step-by-step explanation:
There is an unknown to it, like how much it is multiplied by or something. Since the 2 and the -5 didn't have a variable attached to them, they could be combined with teach other, but not the 12.
Not sure how I would go about solving this problem. Any help would be appreciated
Choose Yes or No to tell if each statement is true.
A rhombus is a trapezoid.
Choose yes or no
A parallelogram has exactly 1 pair of parallel sides.
Choose yes or no
A rectangle is also a rhombus.
Choose yes or no
A rectangle is also a parallelogram.
Choose yes or no
Please say yes or no for every answer.
Answer: No, No, No, Yes
Expressed answers As reduced fraction. Find the trig value.
Tan A=
Answer:
The value of tan A: 40/9
i.e.
tan A = 40/9
Step-by-step explanation:
Given
Hypotenuse = 41
To determine
m ∠ A = ?
Using the trigonometric ratio
tan A = opposite / adjacent
Here:
Opposite of m ∠ A = 40Adjacent of m ∠ A = 9Thus, substituting opposite = 40 and adjacent = 0 in the equation
tan A = opposite / adjacent
tan A = 40/9
Therefore, the value of tan A: 40/9
i.e.
tan A = 40/9
The ratio of kids to adults at a school festival is 11 : 7. Suppose there are a total of 810 kids and adults at the festival. How many adults are at the festival?
Answer:
315
Step-by-step explanation:
So with the ratio, you can tell that 11/18 of the people at the festival are kids, and 7/18 are adults.
Since you want to find the number of adults, just multiply.
7/18 x 810
You can cross multiply to get rid of 18 and 810 will simplify into 45. So then you are left with multiplying
7 x 45
=315
So, 315 is your answer
Answer: 315 Adults.
Step-by-step explanation:
Let the number of adults is x.
Then the number of kids is (810-x).
The ratio of kids to adults is
810 - x/x = 11/7
It is your basic equation, which you get from the condition.
To solve it, cross multiply; then simplify
7*(810-x) = 11x
7*810 - 7x = 11x
7*810 = 11x + 7x
7*810 = 18x
x = 7 x 810/18 = 315.
If two radio stations start conmercials at 10am, when will the stations have commercials at the same time? One station plays every 12 minutes the other every 8 minutes.
Answer: If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.
Step-by-step explanation:
Given: One station plays every 12 minutes the other every 8 minutes.
The minimum time at which both stations have commercials = lcm (12 and 8 )
12 = 2 x 2 x 3
8 = 2 x 2 x 2
LCM( 12 and 8)= 2 x 2 x 2 x 3 = 24
The minimum time at which both stations have commercials = 24 minutes
If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.
The function a(h) below relates the area of a triangle with a given base 7 and the height of the triangle. It takes as input the height of the triangle and returns as output the of the triangle. an) - 7 Write the equation that represents inverse function, h(a), which takes triangles area as input and returns height of the triangle.
What is the length of segment AB?
A) 2
B)2.5
C) 5
D) 10
Answer:
10..................
Solve for Y .
-6y + 4x = 8
Answer:
y= -4/3 + 2x/3
Step-by-step explanation:
The elevations of a town is 450 feet above sea level. The elevation of a lake is 25 feet below sea level. What is the difference between the elevations of the town and lake?
Answer:
425
Step-by-step explanation:
they communicative property applies to subtraction true or false PLEASE HELP ME I’M STRUGGLING
Answer:
True
Step-by-step explanation:
What is the last digit of
[tex]1 \times 3 \times 5 \times 7 \times 9 \times 11 \times 13[/tex]
A. 5
B. 3
C. 7
D.6
E. 9
Dividing by the wrong number when finding the mean is a:
interpretation error.
data collection error.
measurement error.
sampling error.
Answer:
measurement error
Step-by-step explanation:
hope this helps
How many Terminating Zeros are at the end of 631! when this number is multiplied out
Answer:
3 zeros
Step-by-step explanation:
Thus The factorial symbol is the exclamation mark !. like this
Using The factorial formula isIf n is a natural number greater than or equal to 1, then
n! = n x (n - 1) x (n - 2) x (n - 3) ... 3 x 2 x 1
When If n = 0, then n! = 1, by convention it. Thus, The factorial of 631 is calculated, through its definition, can we this way: 631! = 631 • 630 • 629 • 628 ... 3 • 2 • 1Learn more information:
https://brainly.com/question/15175651
Jill bought a lamp for $40. She sold it at a garage sale for $12. What was the approximate decrease?
Answer:
she was left with 28$ I'm in high school i think I'm right
Step-by-step explanation:
Which of the following is an improper integral?
A) the integral from 0 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
B) the integral from 1 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
C) the integral from negative 1 to 0 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
D) None of these
Answer:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
General Formulas and Concepts:
Calculus
Discontinuities
Removable (Hole) Jump Infinite (Asymptote)Integration
IntegralsDefinite IntegralsIntegration Constant CImproper IntegralsStep-by-step explanation:
Let's define our answer choices:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
B) [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]
C) [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]
D) None of these
We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.
Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.
∴ our answer is A.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
PLS HELP ASAP, I'll give BRAINLIEST
Find the length of the longest side of the triangle whose vertices are D(4,1), E(9,6) and F(5, -4).
Answer:
the answer is approximately 8.2 units.
What type of function is y=2^x +8
Answer:
y = 2ˣ + 8 represents the exponential function.
The graph of the function y = 2ˣ + 8 is also attached below.
Step-by-step explanation:
We know that the general exponential function is of the form
f(x) = aˣ
were a > 0
Given the function
y = 2ˣ + 8
Comparing with y = aˣ, it is clear that the function y = 2ˣ + 8 represents the exponential function.
where a = 2
We can also determine the y-intercept of y = 2ˣ + 8 by setting x = 0, and determining the corresponding value of y.
i.e.
y = 2ˣ + 8
y = 2⁰ +8 ∵ 2⁰= 1
y = 1+8
y = 9
Thus, (0, 9) represents the y-intercept of the exponential function y = 2ˣ + 8.
Therefore, y = 2ˣ + 8 represents the exponential function.
The graph of the function y = 2ˣ + 8 is also attached below.
which set of vaules could be the side lengths of a 30-60-90 triangle
Answer:A 30-60-90 right triangle is a special right triangle in which one angle measures 30 degrees and the other 60 degrees. The key characteristic of a 30-60-90 right triangle is that its angles have measures of 30 degrees (π/6 rads), 60 degrees (π/3 rads) and 90 degrees (π/2 rads). The sides of a 30-60-90 right triangle lie in the ratio 1:√3:2.
Step-by-step explanation:
The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.
We have,
In a 30-60-90 triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees.
The side lengths of a 30-60-90 triangle have a specific ratio.
Let's denote the length of the shortest side as x, the length of the side opposite the 60-degree angle as y, and the length of the hypotenuse as z.
The ratios of the side lengths in a 30-60-90 triangle are as follows:
Shortest side: x
Side opposite 60-degree angle: y = x√3
Hypotenuse: z = 2x
Given this ratio, we can determine which set of values could be the side lengths of a 30-60-90 triangle.
The values must satisfy the above relationships.
Possible sets of values for the side lengths of a 30-60-90 triangle are:
Set 1:
x = 1
y = x√3 = √3
z = 2x = 2
Set 2:
x = 2
y = x√3 = 2√3
z = 2x = 4
Set 3:
x = 3
y = x√3 = 3√3
z = 2x = 6
Set 4:
x = k (where k is any positive constant)
y = x√3 = k√3
z = 2x = 2k
These sets of values satisfy the ratios for a 30-60-90 triangle.
Remember that the ratios are consistent, so any positive constant can be chosen for the length of the shortest side (x), and the other side lengths (y and z) will follow accordingly.
So,
Any set of values that satisfy the ratios given above could be the side lengths of a 30-60-90 triangle.
Thus,
The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
find the area of a triangle with a base of 18 feet qnd a height of 7 feet
Answer:
63
Step-by-step explanation:
A= HxB÷2
7x18÷2=63
* URGENT * Given f(x) = 6(2-x), what is the value of f(-8)?
open ended question
Answer:
f(-8) = 60Step-by-step explanation:
When we are given a function in this format, we substitute the x value in the equation. F(x) is simply another way of saying y.
if x = -8
6 (2 - -8)
6(10)
60
f(-8) = 60PLEASEEEEEEEEE HELP
Translate the phrase into an algebraic expression.
The product of b and 9
Answer:
b(9) also known as: b multiplied by 9
I am not 100% sure but I do agree with the first person's answer so feel free to give them brainliest. Hope I helped though! Have a wonderful day! :)
The algebraic expression for the given phrase is 9b.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given phrase is "The product of b and 9".
Now, the expression is b×9
= 9b
Therefore, the algebraic expression is 9b.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ2
What is the image point of (-4, 8) after a translation right 3 units and down 3 units?
Answer:
(-1,5)
Step-by-step explanation:
-4-(-3)=1
8-3=5
Simplify
2x + x + x + 2y x 3yx y
Answer ?
Answer:
4x + 6y ...y cube
like y square y cube y3
Answer:
4x + 6y^3
Step-by-step explanation:
2x + x +x + 2y x 3y x y
4x + 6y^3
What’s -9/6 divided by -1/8
Answer:
-9/6 divided by -1/8 equals 12
Step-by-step explanation:
. A negative divided by a negative is a positive so... 9/6 divided by 1/8
. To divide by a fraction, multiply by the reciprocal of that fraction so... 9/6 times 8
. Reduce the fraction with 3 so... 3/2 times 8
. Reduce the numbers with the greatest common factor 2 so... 3 times 4
. Multiply the numbers so... 3 times 4 equals 12
giving points and brainly
Answer:
A 159.25 to the second power
Step-by-step explanation:
he simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
What is the measure of
Answer:
The measure of Angle B = 82
Step-by-step explanation:
⁕We have to calculate the angle for A.
‣Notice how angles A is on a straight angle, a straight angle equals 180 degrees by the way.
⁕You are going to subtract 143 from 180.
[tex]180 - 143 = 37[/tex]
‣So the angle of A is 37. A triangle equals 180 degrees.
⁕You are going to combine angle A and Angle C and subtract it from 180, to find angle B.
[tex]61 + 37 = 98 \\ 180 - 98 = 82[/tex]
‣Therefore, angle B equals 82.
A cylinder has a radius of 5 cm, and a height of 10 cm. What is the
volume? Use 3.14 as it.
Answer:
785 cm³
Step-by-step explanation:
3.14x5x5x10=785
sasssssssssssssssssssssssssssssssssssss