Answer:
x
Step-by-step explanation:
The cube root of x to the power of 3 is
( [tex]\sqrt[3]{x}[/tex] )³ = ( [tex]x^{\frac{1}{3} }[/tex] )³ = x
or
[tex]\sqrt[3]{x^3}[/tex] = x
Help please... What is the measurement of arc AC?
Answer:
D) 88 degrees
Step-by-step explanation:
Angle ABC is 1/2Arc AC (Inscribed angle theorem)
Solve an equation to find the missing angle
11.
[tex]6x = 30 \\ x = \frac{30}{6} \\ x = 5[/tex]
Missing angle:
[tex]6x \\ = 6 \times 5 \\ = 30[/tex]
_________________________________________
12.
[tex](4 + 5x) + (x + 2) = 180 \\ 6x + 6 = 180 \\ 6x = 180 - 6 \\ 6x = 174 \\ x = \frac{174}{6} \\ x = 29[/tex]
Missing angle 1:
[tex](4 + 5x) \\ = 4 + (5 \times 29) \\ = 4 + 145 \\ = 149[/tex]
Missing angle 2:
[tex]x + 2 \\ = 29 + 2 \\ = 31[/tex]
_________________________________________
13.
[tex]5x + (3x + 12) = 180 \\ 8x + 12 = 180 \\ 8x = 180 - 12 \\ 8x = 168 \\ x = \frac{168}{8} \\ x = 21[/tex]
Missing angle 1:
[tex]5x \\ = 5 \times 21 \\ = 105[/tex]
Missing angle 2:
[tex](3x + 12) \\ = (3 \times 21) + 12 \\ = 63 + 12 \\ = 75[/tex]
_________________________________________
14.
[tex]32 + (6x + 4) = 90 \\ 36 + 6x = 90 \\ 6x = 90 - 36 \\ 6x = 54 \\ x = \frac{54}{6} \\ x = 9[/tex]
Missing angle:
[tex](6x + 4) \\ = (6 \times 9) + 4 \\ = 54 + 4 \\ = 58[/tex]
_________________________________________
15.
[tex](2x + 1) + (x + 2) = 90 \\ 3x + 3 = 90 \\ 3x = 90 - 3 \\ 3x = 87 \\ x = \frac{87}{3} \\ x = 29[/tex]
Missing angle 1:
[tex](2x + 1 ) \\ = ( 2 \times 29) + 1 \\ = 58 + 1 \\ = 59[/tex]
Missing angle 2:
[tex]x + 2 \\ = 29 + 2 \\ = 31[/tex]
_________________________________________
16.
[tex](3x + 1) + (4 + 2x) = 90 \\ 5x + 5 = 90 \\ 5x = 90 - 5 \\ 5x = 85 \\ x = \frac{85}{5} \\ x = 17[/tex]
Missing angle 1:
[tex](3x + 1) \\ = (3 \times 17) + 1 \\ = 51 + 1 \\ = 52[/tex]
Missing angle 2:
[tex](4 + 2x) \\ = 4 + (2 \times 17) \\ = 4 + 34 \\ = 38[/tex]
do linear relationships have a constant rate of change
Answer:
Yes my son they do so yeah
Step-by-step explanation:
Cuz I know
Find the value of "x" Wrong answer will be reported and explain please
Answer:
x = 20
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, sum to 180°
5x + 4x = 180
9x = 180 ( divide both sides by 9 )
x = 20
Answer:
The value of x is 40⁰.
Step-by-step explanation:
5x + 4x = 360⁰
DUE TO THE SUM OF QUADRATIC ANGLE.
What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ..
Answer:
b . is the answer
Step-by-step explanation:
ha ahhgahga
8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4
Hello,
If center is (0,0)
x²/a²+y²/b²=1 for a half horizontal axis of a, and a half vertical axis of b
Here
a=2 ==> a²=4
b=8 ==> b²=64
[tex]\boxed{\dfrac{x^2}{4}+ \dfrac{y^2}{64}=1}\\[/tex]
Where do i move the graph (new points)?
Answer:
l
Step-by-step explanation:
The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Find the two weights that separate the top 3% and the bottom 3%. (These weights could serve as limits used to identify which components should be rejected)
Answer:
The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Step-by-step explanation:
We are given that
Mean, [tex]\mu=8.04 g[/tex]
Standard deviation, [tex]\sigma=0.08g[/tex]
We have to find the two weights that separate the top 3% and the bottom 3%.
Let x be the weight of machine components
[tex]P(X<x_1)=0.03, P(X>x_2)=0.03[/tex]
[tex]P(X<x_1)=P(Z<\frac{x_1-8.04}{0.08})[/tex]
=0.03
From z- table we get
[tex]P(Z<-1.88)=0.03, P(Z>1.88)=0.03[/tex]
Therefore, we get
[tex]\frac{x_1-8.04}{0.08}=-1.88[/tex]
[tex]x_1-8.04=-1.88\times 0.08[/tex]
[tex]x_1=-1.88\times 0.08+8.04[/tex]
[tex]x_1=7.8896[/tex]
[tex]\frac{x_2-8.04}{0.08}=1.88[/tex]
[tex]x_2=1.88\times 0.08+8.04[/tex]
[tex]x_2=8.1904[/tex]
Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Pls help ASAP
Compare and contrast how to graph: x=2 and y= -4
Answer:
plotting x = 2
see the x- axis look for the point x = 2(on right side of the origin ). Mark that point and draw a straight line parallel to the y- axis.
This is the graph of x = 2
plotting y = -4
see the y- axis and then look for the point y= -4 (that must be 4 units below the origin). Mark that point and draw a straight line parallel to the x- axis.
This is the graph of y = -4
we see that, the graph x = 2 is parallel to the y-axis whereas the graph y = -4 is parallel to the x- axis.
A small bag can hold 40 packets of crackers and a large bag can hold 90
packets of crackers. If the total number of bags exceeds 300 and the total
number of packets of crackers exceeds 1500, represent the situation using a
system of linear inequalities.
Answer:
s + l > 300
40 * s + 90 * l > 1500
Step-by-step explanation:
Let's say the amount of small bags is equal to s and the amount of large bags is equal to l.
The total amount of bags is equal to the sum of the small bags and large bags, as there can only be small or large bags. Therefore, the total amount of bags is equal to s + l. As the total amount of bags is greater than 300, we can write
s + l > 300
Next, the total number of packets of crackers exceeds 1500. We can find the total number of packets based on the amount of small and large bags. Because each small bag holds 40 packets, we can say that the amount of packets in small bags is equal to 40 * s. Similarly, the total amount of packets in large bags is equal to 90 * l. Therefore, the total amount of packets is equal to
40 * s + 90 * l
and since the total number of packets is greater than 1500, we can say
40 * s + 90 * l > 1500
look at the image for the question and answers
Answer:
C
Step-by-step explanation:
Answer:
2 units
Step-by-step explanation:
Using the given formula
P = 2(l + w)
= 2([tex]\frac{2}{3}[/tex] + [tex]\frac{1}{3}[/tex] )
= 2(1)
= 2 units
Someone to give me the answer on the number line please
Answer:
Step-by-step explanation:
Equation for the total volume of the bucket has been given as,
V = 4 + 2t
Here V = Total volume
t = elapsed time
Table for the input-output values,
t 0 1 2 3 4
V 4 6 8 10 12
Therefore, line passing through the given points in the table will be the graph for the equation.
Dose 4(x+1)= 3x+4 have a solution
Answer:
x = 0
Step-by-step explanation:
First, multiply 4 by x+1
4x + 4 = 3x + 4
Subtract 3x on both sides
x + 4 = 4
Subtract 4 from both sides
x =
this is x = 0, since x = nothing.
Answer:
x=0
Step-by-step explanation:
4(x+1)= 3x+4
Distribute
4x+4 = 3x+4
Subtract 3x from each side
4x-3x+4 =3x-3x+4
x+4 = 4
Subtract 4 from each side
x+4-4 = 4-4
x=0
Atlanta's population is growing at a rate of 2.9% per year while Detroit's population is declining at 1.1% per year. Describe what this means.
PLSSS HELPPP!!!!!
Answer:
Every year, the population is increasing by a certain amount. This type of continuous growth is increasing at an increasing rate. Exponential growth.
Step-by-step explanation:
Let's say the population of Atlanta was 100,000 in year 0. At the end of year 1, it would have grown 3%. 100,000 * 103% = 103,000.
103% because if it were 3%, the population would be shrinking.
at the end of year 2, you take the ending amount of year 1, 103,000*103%=106,090.
Exponential growth is everywhere in the world, population sizes, production, intelligence. The formula f(x)=a(1+r)^x :
f(x): the amount in x years.
a: The starting population.
r: The yearly growth rate.
x: How many years.
If you are given months, convert from years to months.
For example: Detroit is expected to grow 1.1% each year until the year 2029. This means that 8 years would have passed, 2029-2021. You take the starting population, which is roughly 675,000 as of now and input into the exponential formula equation.
f(8)=675,000(1+.011)^8 = 736,738 (Population of Detroit in the year 2029).
.011 because 1.1% is converted to decimal form.
Please help me with this one
Answer:
2×5×7+2×5×2+2×7×2
70+20+28
108cm^2
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]l = 5 \: cm \\ w = 2 \: cm \\ h = 7 \: cm[/tex]
The formula to find SA => 2lh + 2lw + 2hw
[tex]SA => 2lh + 2lw + 2hw \\ = 2 \times 5 \times 7 + 2 \times 5 \times 2 + 2 \times 7 \times 2 \\ = 70 + 20 + 28 \\ = 118 \: \: cm {}^{2} [/tex]
=> The surface area of the rectangular prism is 118 cm².
WILL MARK BRAINLIEST
Please help solve problems with common tangents.
Thank you.
Answer:
sorry I don't know but can u PLEASE MARK ME AS BRAINLIEST.
Step-by-step explanation:
.......
===========================================================
Explanation:
Let's start with what the hint gives us. So the first sub-goal is to prove triangle ABE is similar to triangle DCE.
Since points A and D are points of tangency, this means the radii of each of those circles is perpendicular to the common internal tangent. So angles EAB and EDC are 90 degrees each.
Due to the vertical angle theorem, we also know that angles AEB and DEC are the same (we don't know the measure but we know they're equal angles).
So we have two pairs of congruent corresponding angles between the triangles, which is sufficient to let us use the AA (angle angle) similarity theorem. Therefore, the triangles have been proven to be similar. Triangle DCE is a reduced scaled down copy of triangle ABE. Or in reverse, triangle ABE is an enlarged copy of triangle DCE.
-----------------------
Since the triangles are similar, we can form the proportion below and solve for x
AB/AE = DC/DE
x/18 = 4/6
x*6 = 18*4 .... cross multiplication
6x = 72
x = 72/6
x = 12
Therefore, segment AB is 12 units long, and this is the radius of circle B.
Solve for x, then choose
the correct graph.
- 3x > 12
answer:
-4
Step-by-step explanation:
-3x>12
x<-4
the correct graph is graph b
Which is true about this triangle?
Answer:
C=32°
because sum of three angles of triangles is 180°
Find the equation of the line through point (2,2) and parallel to y=x+4. Use a forward slash (i.e.”/“) for fractions (e.g. 1/2 for
Answer:
The equation of the line is, y = x
Step-by-step explanation:
The constraints of the required linear equation are;
The point through which the line passes = (2, 2)
The line to which the required line is parallel = y = x + 4
Two lines are parallel if they have the same slope, therefore, we have;
The slope of the line, y = x + 4 is m = 1
Therefore, the slope of the required line = 1
The equation of the required lime in point and slope form becomes;
y - 2 = 1 × (x - 2)
∴ y = x - 2 + 2 = x
The equation of the required line is therefore, y = x
Which of the following inequalities matches the graph?
Answer:
second one
Step-by-step explanation:
just read where the purple line finishes on the x axis, in this case it’s 5 so it’s greater than 5 or equal to it.
What is the measure of angle R?
O 37°
O 53°
O 90°
O 97°
HELP PLEASE
The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
We know that the radius of the circle and the tangent line of the circle will intersect at the right angle which is 90°.
And the angles of the triangle will be supplementary angles. Then the equation is given as,
∠P + ∠Q + ∠R = 180°
53 + 90° + ∠R = 180°
∠R = 37°
The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ7
Which value of w ww makes 14 = 11 + w 8 ⋅ 6 14=11+ 8 w ⋅614, equals, 11, plus, start fraction, w, divided by, 8, end fraction, dot, 6 a tru
Answer:
w=4
Step-by-step explanation:
The graph of quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the functions equation
Hello,
Answer D
-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k
(-2,18) is a point of the curve:
18=k*(-2)²-8k-32k
-36k=18
k= - 1/2
Answer:
Have a great rest of ur day :)
Step-by-step explanation:
Question 2 of 10
The graph of g(x), shown below, resembles the graph of f(x) = x - x2, but it
has been changed somewhat. Which of the following could be the equation
of g(x)?
Answer:
option C is correct
x^4 - x^2 - 2.5
If we add any constant c in the function then it gets shifted upward by the c unit. Then the function g(x) is above the function f(x) by 2.5 units.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable.
Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The functions are g(x) and f(x) are given below.
f(x) = x⁴-x²
g(x) = x⁴-x²+2.5
We know that if we add any constant c in the function then it gets shifted upward by the c unit.
The graph is shown.
More about the function link is given below.
brainly.com/question/5245372
#SPJ7
Factorize
a⁴-3a²b²+b⁴
(a⁴-3a²b²+b⁴)/(a²-ab-b²)
Let me know if there is something wrong to my answer ^_^
Answer:
hope it will helpfulll to youuu
Use the equation of the water level of the river represented by the equation y = −4x + 170, where x represents the number of years and y represents the total feet. What points are located on the line? Check all that apply. (170, 0) (0, 170) (12, 126) (50, 30) (5, 150) (60, –70)
Answer:
(0, 170) (5, 150) (60, -170)
Step-by-step explanation:
Plug each x value into the equation. The point is located on the line if the y values match.
Ex. -4 (170) + 170 = -510 this point is not on the line
-4 (0) + 170 = 170 this point is on the line because it is a "true" statement
Answer:
(0, 170) (5, 150) (60, -170)
Step-by-step explanation:
Bethany is making trail mix with 3 cups of raisins for every 2 cups of peanuts. Which table represents this proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 3, 12, 16. Column 2 is labeled Raisins (y) with entries 2, 8, 12.
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 2, 3, 6. Column 2 is labeled Raisins (y) with entries 8, 12, 24.
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 3, 8, 12. Column 2 is labeled Raisins (y) with entries 2, 16, 24.
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 2, 8, 12. Column 2 is labeled Raisins (y) with entries 3, 12, 18.
Answer:
Table 4 is the answer. Step-by-step explanation: Bethany is making trail mix with 3 cups of raisins for every 2 cups of peanuts. So, the ratio of peanuts to raisins is 2 : 3.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
GOT IT RIGHT edge 2021
If f(x) = k where k is a constant, and the points (6,1) and (8,1) lie on the graph of y = f(x), what is the value of f(0)?
I think the answer is 1 but not 100% sure.
Answer:
The value of f(0)=1
Step-by-step explanation:
We are given that
[tex]f(x)=k[/tex]
[tex]y=f(x)[/tex]
(6,1) and (8,1) lies on the graph of y=f(x)
We have to find the value of f(0).
[tex]f(6)=1[/tex]
[tex]f(8)=1[/tex]
[tex]f(x)=k[/tex]
By comparing ,we get
k=1
Therefore, [tex]y=f(x)=1[/tex]
Now, substitute x=0
[tex]f(0)=1[/tex]
Hence, the value of f(0)=1
1.) What is the domain and range of the function in the graph?
2.) What is the average rate of change over the interval [1, 0]?
Answer:
Domain → (-∞, ∞)
Range → (-2, ∞)
Step-by-step explanation:
1). Domain of a function is defined by the input values (set of x-values) and Range of the function is defined by the output values (set of y-values).
From the graph attached,
Function is defined for all real values of x.
Therefore, domain of the function will be (-∞, ∞).
On y-axis values of the function vary from -2 (excluding 2) to positive infinity.
Therefore, range of the function will be (-2, ∞).
2). Average rate of change of a function in the interval (a, b) is defined by,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
By using this expression we can find the average rate of change in the given interval.
Please give the correct interval for which the average rate of change is to be calculated.
Simplify the expression below.
50 - 2(32 + 1)
Answer:
[tex] = { \tt{50 - 2(32 + 1)}}[/tex]
Solve the bracket:
[tex] = { \tt{50 - 2(33)}}[/tex]
Open the bracket:
[tex]{ \tt{ = 50 - 66}}[/tex]
Subtract the expression:
[tex]{ \bf{ = - 16}}[/tex]
Step-by-step explanation:
Multiply 2 by 32 and 1
50-64-2
-14-2
-16 Answer