Answer:
[tex]\boxed{\sf all \ real \ numbers \ greater \ than \ or \ equal \ to \ 0}[/tex]
Step-by-step explanation:
The domain of a function is all possible values for x.
[tex]\sf f(x)=\frac{2}{5} \sqrt{x}[/tex]
There are restrictions on x.
The square root of a number can be undefined if that number is less than 0.
The value of x is all real numbers greater than or equal to 0.
The domain of the function f(x) = (2/5)√x will be all real numbers greater than or equal to zero. Then the correct option is C.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = (2/5)√x
The value under the square root should not be negative. Then the equation is given below.
x ≥ 0
Then the domain of the function f(x) = (2/5)√x will be all real numbers greater than or equal to zero.
Then the correct option is C.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
if x to the power of 2 = 10 what is the value of x?
Answer:
x² = 10
x = ±√10 (Take the square root of both sides)
What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
Answer:
the height of the prism =3cm
Step-by-step explanation:
From the question :there is 30 square centimeters, we can deduce this is the area due to the unit
the volume is 90 cubic centimeters
Volume of prism = Area of base × height
We are to determine the height
90cm³ = 30cm² × height
divide both sides by 30cm²
height = 90cm³/30cm²
height = 3cm
Therefore the height of the prism is 3centimeters
Simplify $(1-3i)(1-i)(1+i)(1+3i)$
[tex](1-3i)(1-i)(1+i)(1+3i)=\\(1^2-(3i)^2)(1^2-i^2)=\\(1+9)(1+1)=\\10\cdot2=20[/tex]
Answer:
[tex]\huge\boxed{(1-3i)(1-i)(1+i)(1+3i)=20}[/tex]
Step-by-step explanation:
[tex](1-3i)(1-i)(1+i)(1+3i)\\\\\text{use the commutative property}\\\\=(1-3i)(1+3i)(1-i)(1+i)\\\\\text{use the associative property}\\\\=\bigg[(1-3i)(1+3i)\bigg]\bigg[(1-i)(1+i)\bigg]\\\\\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=\bigg[1^2-(3i)^2\bigg]\bigg[1^2-i^2\bigg]\\\\=\bigg(1-9i^2\bigg)\bigg(1-i^2\bigg)\\\\\text{use}\ i=\sqrt{-1}\to i^2=-1\\\\=\bigg(1-9(-1)\bigg)\bigg(1-(-1)\bigg)\\\\=\bigg(1+9\bigg)\bigg(1+1\bigg)\\\\=(10)(2)\\\\=20[/tex]
Which of the following describes the graph of 2x + 4y < 16? a:solid line, shaded below b:dashed line, shaded above c:dashed line, shaded below d:solid line, shaded above
Answer: C
Step-by-step explanation:
[tex]2x+4y<16\\=4y<-2x+16\\=y<-\frac{1}{2} x+4[/tex]
Since we are not dividing by a negative at any point during the simplification, the inequality sign won't change.
"<" means that the line will be dashed and shaded below.
Hope this helps!
The description of the inequality is (c) dashed line, shaded below
The inequality is given as:
2x + 4y < 16
The inequality is represented as less than (<)
When the less than sign is used in an inequality, the graph of the inequality would be a dashed line shaded below
Hence, the true statement is (c) dashed line, shaded below
Read more about inequalities at:
https://brainly.com/question/11234618
I need a. Correct answer I’ll mark brainliest
Answer:
7^11 / 4^11
Step-by-step explanation:
( 7/4) ^ 11
We know that ( a/b) ^c = a^c / b^c
7^11 / 4^11
Answer: B. [tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]
Step-by-step explanation:
There is exponent rule that states [tex](\frac{a}{b})^{x} = \frac{a^x}{b^x}[/tex]
So we can apply this rule to this problem.
[tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]
Complete the sentence by selecting the correct word from each drop-down menu. The middle value of a data set that is ordered from least to greatest is called the ____ . This value is a measure of ____. The options for the first ____ are mean/median/range The options for the second ____ are center/range/variation
Answer: The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.
Step-by-step explanation:
There are three measures of the center: 1) Mean 2) Median 3) Mode
Mean : Average value of the data
Mode = The most repeated value.
Median is the middlemost value in a well-ordered data.
It measures the center of the data.
Hence, the completed statement would be:
The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.
Answer:
First ____ is median
Second ____ is center
Step-by-step explanation:
The median is the middle value of a set of numbers, and is found in the center.
Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
Answer:
2.4 bags
Step-by-step explanation:
Uh you can keep your brains.
Using the data table, we get:
1, 2, 2, 3, 4 as our data.
Finding the mean:
(1+2+2+3+4)÷5=
12÷5=
2.4 bags
ACEG is a paralellogram. BKD, HJF and CKJG are straight lines. Find the values of x and y
Answer:
[tex]\boxed{\mathrm{x=53\° \: \: \: y=33\°}}[/tex]
Step-by-step explanation:
Apply these rules to solve:
• Angles on a straight line add up to 180 degrees.
• Angles in a triangle add up to 180 degrees.
• Opposite angles in a parallelogram are equal.
• Angles in a quadrilateral add up to 360 degrees.
Suppose that for each firm in the competitive market for potatoes, long-run average cost is minimized at $0.6 per pound when 150 pounds are grown. The demand for potatoes is Q = 40,000/p. If the long-run supply curve is horizontal, then what would be the total consumer spending?
Answer:
Total consumer spending is 160
Step-by-step explanation:
Here , we are interested in calculating the total consumer spending.
In a long run perfect competition market, price interest with MC and minimum point of AC
Hence , P = AC
this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed
The total consumer spending is thus 267 * 0.6 = 160
Which graph represents this function, f(x)=1/2x-5
Answer:
If I'm not mistaken your graph is supposed to be like this
Step-by-step explanation:
Hope this is correct and helpful
HAVE A GOOD DAY!
PLEASE HELP!! DUE SOON
Answer:
b=3a/8
a=8b/3
Step-by-step explanation:
b/a=k ( k is the constant proportional)
3/8=9/24=15/40
b/a=3/8
b=3a/8
a=8b/3
I hope this is right answer
In the picture down below
Answer:
b
Step-by-step explanation:
trust me
Answer:
A
Step-by-step explanation:
Help please! Thank you
By visual inspection, determine the best-fitting regression model for the
scatterplot.
A. no pattern
B. Exponential
C. Quadratic
D. Linear
Answer: C
I just took the test
Can someone answer all of them or at least one please. Thank you :)
1. Solve the equation below for the variable (y):
2x + 5y = 20
A. y = 20 - 2x / 5
B. y = 18x / 5
C. y = 5 (20 - 2x)
d. y = 2x - 20 / 5
2. Substitute r = 3 and h = 5 into the formula V = πr^2h then evaluate
A. 235.5
B. 47.1
C. 141.3
3. In a formula, any operation we can do to a number can also be done to a variable.
True or False?
Answer:
1) A. y= (20 - 2x) /5
2) C. 141.3
3) True ( Your answers are here.)
Answer:
1. is A 2. is C 3. is I believe True
Step-by-step explanation:
1.
2x + 5y = 20
-2x -2x
5y = 20 - 2x
/5 /5
Answer: y = 20 - 2x /5
2.
V = πr^2h
π=3.14 r=3 h=5
3.14*3^2*5
1.413*10^2 which = 141.3
3.
I am not completely sure but I think it is True
Hope this helps
Hey loves!!! This is my last question(for now).Please help.
Answer:
35 degrees.
Step-by-step explanation:
m < TSK = 180 - 22 - 123
= 180 - 145
= 35.
Trigonometry.....Help plzzzz
Answer:
17.3 = AC
Step-by-step explanation:
Since this is a right angle, we can use trig functions
tan B = opp/ adj
Tan 68 = AC / 7
7 tan 68 = AC
17.32560797 = AC
To 1 decimal place
17.3 = AC
Answer:
AC = 17. 3 cmStep-by-step explanation:
To find AC we use tan
tan ∅ = opposite / adjacent
From the question
AB is the adjacent
AC is the opposite
So we have
tan 68 = AC / AB
AC = AB tan 68
AC = 7 tan 68
AC = 17.32
AC = 17. 3 cm to one decimal place
Hope this helps you
We have 9 balls, numbered 1 through 9, and 27 bins. How many different ways are there to distribute these 9 balls among the 27 bins? Assume the bins are distinguishable (e.g., numbered 1 through 27).
Answer:
7625597484987 ways
Step-by-step explanation:
Given the following :
Number of ball(k) = 9
Number of bins (n) = 27
How many different ways are there to distribute these 9 balls among the 27 bins.
Here, the balls have different labels (1 to 9)
The bins are also distinguishable, therefore each ball can go into any of the 27 distinct bins.
Therefore, the different ways are there to distribute these 9 balls among the 27 bins equals = n^k
27^9 = 7625597484987 ways.
18x + 18 = 17 What is the variable x and how do you get that answer?
Answer:
x = - 1/18
Step-by-step explanation:
Move all terms not containing x to the right side of the equation
Divide each term by 18 and simplify
The result can be shown in multiple forms
x = -1/18
Decimal form= -0.05
Answer: x=-1/18
Step-by-step explanation:
18x+18=17
you subtract 18 from both sides
18x=-1
then you divide by 18 on both sides
x=-1/18
A regular octagon is inscribed inside a circle. The perimeter of the octagon is units. A: What is the measure of a side of the octagon? B: What is the measure of a central angle of the octagon? C: What is the approximate measure of the apothem of the octagon (to the nearest hundredth of a unit)? D: Using your answer to part C, what is the approximate area of the octagon (to the nearest whole )?
Answer:
Explained below.
Step-by-step explanation:
Consider the diagram of a regular octagon is inscribed inside a circle.
Suppose the perimeter if the octagon is 8a.
(a)
Compute the measure of a side of the octagon as follows:
[tex]\text{Perimeter}=8\times side\\\\8\times side=8a\\\\side=a[/tex]
Thus, the side of the octagon is a units.
(b)
The sum of all angles of around a point is 360°.
Consider the point P on the octagon.
The sum of all the angle surrounding P will be 360°.
There are a total of 8 angle surrounding the point P.
Then the measure of central angle is:
[tex]\text{Central Angle}=\frac{360^{o}}{8}=45^{o}[/tex]
Thus, the measure of central angle is 45°.
(c)
The line segment from the center of an octagon to the midpoint of a side, perpendicular to said side, is known as the apothem.
Consider the diagram.
In the diagram the line segment PC is an apothem, that is perpendicular to the AB.
The measure of segment AC = a/2 and the measure of segment PA is r (radius of the circle).
Compute he measure of PC as follows:
[tex]PA^{2}=PC^{2}+AC^{2}\\\\PC^{2}=PA^{2}-AC^{2}\\\\PC=\sqrt{PA^{2}-AC^{2}}[/tex]
[tex]=\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex]
Thus, the measure of the apothem of the octagon is[tex]\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex].
(d)
The area of an octagon is:
[tex]\text{Area}=2(1+\sqrt{2})a^{2}[/tex]
Please answer this in two minutes
Answer:
Hey there!
S would be 2 times 7, or 14.
Hope this helps :)
Answer:
14
Step-by-step explanation:
This is a 30-60-90 triangle, so the sides corresponding are x, 2x, and xsqrt3. the side, s, that we want is the 2x, and the x is 7. So, s is 14.
Which represents the solution to 7x > 21 or 6x - 9 < 21?
Answer:
1) The correct option is the third line
2) The correct option is the third line please see attached graph
Step-by-step explanation:
For the system of inequalities,
7·x > 21 or 6·x -9 < 21 we have;
7·x > 21
x > 21/3 = 3
x > 3
Also we have for 6·x -9 < 21 we have;
6·x -9 < 21
6·x < 21 + 9
6·x < 30
x < 30/6 = 5
x < 5
The representation of the region x > 3 and the region x < 5 on the number line consists of indicating points 3 and 5 with circles not filled to represent less than < and not less than or equal to ≤ and shading the potion of the number line in between the two points
Which gives the correct option as the third line which has an open circle at point 3 and 5
b) To graph the inequality v + 4 > 2 and 8·v - 20 ≤ 36
For the inequality v + 4 > 2, we have;
v > 2 - 4
v > - 2
For the inequality 8·v - 20 ≤ 36, we have;
8·v - 20 ≤ 36
8·v ≤ 36 + 20
8·v ≤ 56
v ≤ 56/8
v ≤ 7
The region representing v > -2 or v ≤ 7 on the number line consists of indicating points -2 with a circle (not filled) to represent less than < and point 7 with a filled circle to represent less than or equal to ≤ and shading the potion of the number line in between the two points
Which gives the correct option is the third line which has a closed circle at point -2 and an open circle at point 7
Urgetttttttt!!!!!!! On his way to work each day, Steve encounters one traffic light. He records the color of the light each day by marking "G" for green and "R" for red. Estimate the probability that Steve encounters a green light on any given day. G G G R R G R G G R R R R G G G G R R G
Answer:
[tex]\bold{P(A) =\dfrac{11}{20}}[/tex]
Step-by-step explanation:
A - an occurrence that Steve encounters the green light
number of all counted ligths: |Ω| = 20
number of counted green ligths: |A| = 11
Probability that Steve encounters a green light on any given day:
[tex]P(A) = \dfrac{|A|}{|\Omega|}=\dfrac{11}{20}[/tex]
Given: l | | m m 1 = 140° m 3 = 50° m 6 =
Answer:
m∠6 = 90°
Step-by-step explanation:
∠1 and ∠2 are a linear pair. This means they are supplementary, or their measures sum to 180°. To find m∠2, we subtract m∠1 from 180:
180-140 = 40°
The measure of ∠2 is 40°.
The sum of the measures of the angles in a triangle is 180°. We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:
180-(40+50) = 180-90 = 90°
4) Solve the problem for the compound events.
A bank has a special vault for valuable items. It has 3 dials that operate the combination. The
first dial has the numbers from 1 to 100, the second and third each have the 26 letters of the al-
phabet. In order to open the vault, the bank manager must correctly set each dial. How many
possible combinations are there for this vault?
Answer:
i think its 67600
Step-by-step explanation:
100*26=2600
2600*26=67600
Which equation is true for the value b = 10? A. 2(b + 4) = 16 B. 2(b + 2) = 40 C. 3(b – 2) = 24 D. 2(8 + b) = 42 E. 3(b – 4) = 20
Answer:
C is the correct answer
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
have a good day
Please answer this question now
Answer:
39°Step-by-step explanation:
A radius to the tangent point always forms a right angle with the tangent:
m∠XWY = 90°
So:
90° + 58° + x - 7° = 180°
141° + x = 180°
x = 39°
an appropriate metric unit for the mass of an eyelash.
Answer: Mass of a typical house cat:
Automatically eliminate B and D since they are not metric unit for mass
So, that leaves us with A and C. And since a cat is not huge nor weighs that much, the most reasonable one would be to measure it in grams.
Correct answer: C
2x^5-x^2+1=0
can you help me ?
slove it in details
thanks
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Hi my lil bunny!
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[tex]\boxed{x = 7}[/tex]
Move 1 to the left side of the equation by subtracting it from both sides.
[tex]\sqrt{2x -5 - 2 - 1 = 0 }[/tex]
Subtract 1 from -2.
[tex]\sqrt{2x -5 - 3 = 0 }[/tex]
Add 3 to both sides of the equation.
[tex]\sqrt{2x - 5 = 3}[/tex]
To remove the radical on the left side of the equation, square both sides of the equation.
[tex]\sqrt{2x - 5^3 = 3^2}[/tex]
Simplify each side of the equation.
Multiply the exponents in [tex](( 2x - 5) ^\frac{1}{2})^2[/tex] .
Apply the power rule and multiply exponents, [tex](a^m)^n = a^mn[/tex]
[tex](2x -5)^\frac{1}{2}.2 = 3^2[/tex]
Cancel the common factor of 2.
[tex](2x - 5)^1 = 3^2[/tex]
Simplify.
[tex]2x - 5 = 3^2[/tex]
Raise 3 to the power of 2.
[tex]2x - 5 = 9[/tex]
Solve for x
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
[tex]2x = 9 + 5[/tex]
Add 9 and 5.
[tex]2x = 14[/tex]
Divide each term by 2 and simplify.
Divide each term in 2x = 14 by 2.
[tex]\frac{2x}{2} = \frac{14}{2}[/tex]
Cancel the common factor of 2.
[tex]x = \frac{14}{2}[/tex]
Divide 14 by 2.
[tex]x = 7[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Answer:
root of f(x) = -0.7419124700395855 to about 16 figures
Step-by-step explanation:
given
f(x) = 2x^5-x^2+1 = 0
The polynomial is prime, so cannot solve by factoring.
Since it is a 5th degree polynomial, it has at least one real root.
Graphing helps locate where roots are, if more than one.
(refer to first graph)
So there is a real root between -1 and 0.
We will use numerical methods to find the root to a good degree of accuracy. The technique applies to any univariable function which is differentiable and continuous near the roots. This requirement is true for all polynomials.
However, we must know approximately where the root is, usually found by graphing.
The formula used is a recursive one, which gives a better approximation (x1) from the initial (x0) one , and can be repeated until the required accuracy is reached.
Here, we see that the slope of the function at the root is quite steep, so convergence will be rapid.
The formula is
x1 = x0 - f(x0) / f'(x0), where
x1 = new approximation
x0 = initial (or previous) approximation
f(x0) = value of function when x=x0
f'(x0) = value of derivative of function when x=x0
For the given function
f(x) = 2x^5-x^2+1 = 0
f'(x) = 10x^4-2x = 2x(5x^3-1)
From the graph of f(x), we can take an initial approximation as
x0 = -1
x1 = -1 - (-2)/12 = -5/6
Repeat using x0=-5/6
x1 = -5/6 - ( 2(-5/6)^5 - (-5/6)^2 + 1 ) / (2(-5/6(5(-5/6)^3-1))
= 0.7565596512088784
Repeat again, multiple times
x1 = -0.7423377914518363
x1 = -0.7419128371988212
x1 = -0.7419124700398593
x1 = -0.7419124700395855
x1 = -0.7419124700395855
So we see that the root of f(x) = x1 = -0.7419124700395855 to about 16 figures
Note that the accuracy of the iterations approximately doubles every time.
Determine the sum of the first ten terms of the geometric series -1 + 2 - 4 + 8 + ...
Answer:
-1+2-4+8-10+12-14+16-18+20
=
-47+68
= +21
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