Answer:
As the number of files increases, the storage space used increases.
math related!!!! What are the restrictions on the variable
in the quotient
See my explanation in the pic
How many natural numbers between $150$ and $300$ are divisible by $9$?
Answer:
There are 17 natural numbers divisible.
There are 17 natural numbers between 150 and 300 that are divisible by 9.
To find the number of natural numbers between 150 and 300 that are divisible by 9, we need to find the count of multiples of 9 within this range.
The first multiple of 9 greater than or equal to 150 is 153 (9 x 17), and the last multiple of 9 less than or equal to 300 is 297 (9 x 33).
Now, we can calculate the number of multiples of 9 between 153 and 297 (inclusive):
Number of multiples of 9 = (Last multiple - First multiple) / 9 + 1
Number of multiples of 9 = (297 - 153) / 9 + 1
Number of multiples of 9 = 144 / 9 + 1
Number of multiples of 9 = 16 + 1
Number of multiples of 9 = 17
So, there are 17 natural numbers between 150 and 300 that are divisible by 9.
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Which characteristic is necessary to create a table that compares two functions?
The characteristic that is necessary to create a table that compares two functions is D. Choose the same values for each functions .
What is the usefulness of table?The Mathematical tables can be regarded as the lists of numbers which is used in showing the results of a calculation and these can have varying arguments.
It should be noted that when necessary to creating a table that compares two functions it is important to Choose the same values for each functions .
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peaches are 1.79 a pound at the grocery store.if kim bought 3.5 pounds of peaches how much did she spend?
What is the product?
StartFraction 4 n Over 4 n minus 4 EndFraction times StartFraction n minus 1 Over n + 1 EndFractiontartFraction 2 Over x EndFraction
Based on the given task content; the product of StartFraction 4 n Over 4 n minus 4 EndFraction times StartFraction n minus 1 Over n + 1 EndFractiontartFraction 2 Over x EndFraction is (4n² - 8n) / (4n²x - 5nx - x)
ProductProduct of numbers refers to the multiplication of two or more values to arrive at a single result.
4n / (4n - 1) × (n - 1) / (n + 1) 2/x
= 4n / (4n - 1) × 2(n - 1) / x(n + 1)
= 4n / (4n - 1) × (2n - 2) / (nx + x)
= 4n(2n - 2) / (4n - 1) (nx + x)
= 4n² - 8n / (4n²x - 4nx - nx - x)
= (4n² - 8n) / (4n²x - 5nx - x)
Therefore, the product of 4n / (4n - 1) × (n - 1) / (n + 1) 2/x is (4n² - 8n) / (4n²x - 5nx - x)
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Which shows the following expression after the negative exponents have been eliminated?
Answer:
[tex]\frac{a^3b^4}{ab^2}[/tex] which is the last choice in the question
Step-by-step explanation:
Simplify
[tex]\frac{a^3b^{-2}}{ab^{-4}} = \frac{a^3}{a}\frac{b^{-2}}{b^{-4}}[/tex]
Using the fact that [tex]\frac{x^m}{x^n} =x^{m-n}[/tex]
We get
[tex]\frac{a^3}{a} = a^{3-1} = a^2[/tex]
[tex]\frac{b^{-2}}{b^{-4}} = b^{-2-(-4)} = b^2[/tex]
So
[tex]\frac{a^3b^{-2}}{ab^{-4}} =a^2b^2[/tex]
Multiplying numerator and denominator by [tex]ab^2[/tex] gives
[tex]a^2b^2 \frac{ab^2}{ab^2}[/tex]
= [tex]\frac{a^3b^4}{ab^2}[/tex] ANSWER
Hint:
We can eliminate first choice since negative exponents still remain
We can eliminate third choice because the expression has a minus sign which is not possible
That just leaves second and fourth choices to work with
One large jar and five small jars can hold 26 ounces of jam. One large jar minus one small jar can hold 2 ounces of jam. Use the given matrix equation to solve for the number of ounces of jam that each jar can hold. Explain the steps that you took to solve this problem.
A matrix with 2 rows and 2 columns, where row 1 is 1 and 5 and row 2 is 1 and negative 1, is multiplied by matrix with 2 rows and 1 column, where row 1 is l and row 2 is s, equals a matrix with 2 rows and 1 column, where row 1 is 26 and row 2 is 2.
Using a system of equations, it is found that one large jar holds 6 ounces and one small jar holds 4 ounces.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable l: Weight that a large jar holds.Variable s: Weight that a small jar holds.One large jar and five small jars can hold 26 ounces of jam, hence:
l + 5s = 26, which is the first equation in matrix form.
Then:
l = 26 - 5s.
One large jar minus one small jar can hold 2 ounces of jam, hence:
l - s = 2, which is the second equation in matrix form:
Then:
l = 2 + s = 26 - 5s
2 + s = 26 - 5s
6s = 24
s = 4.
l = 26 - 5s = 6.
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Use what you know about reflections of functions
to match the graph to the function rule.
The answers are :
y = 3ˣ ⇒ b
y = 3⁻ˣ ⇒ a
y = -3ˣ ⇒ c
For y = 3ˣ, we will get a graph that will increase exponentially in the direction of positive y-axis.
For y = 3⁻ˣ, we will get a graph that will decrease exponentially in the direction of positive x-axis.
For y = -3ˣ, we will get a graph that will decrease exponentially in the direction of negative y-axis.
find the missing numbers in the following equivalent fractions: [tex]\frac{?}{5} =\frac{8}{10} =\frac{16}{?} =\frac{?}{40}[/tex]
Suppose that w varies directly as the product of x and the square of y and inersely as z. when x = 2, y = 3, and z = 36, the value of w is 1/2. find the value of w when x = 5, y = 5, and z = 10.
The value of w is 12.5 when x = 5 , y= 5 and z = 10.
What is Equation of variation?
A variation is a relation between a set of values of one variable and a set of values of other variables. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.Equation of variation w = [tex]\frac{kxy^{2} }{z}[/tex]
Constant of variation k = [tex]\frac{wz}{xy^{2} }[/tex]
Find k when w = 1/2, x = 2 and z = 36
k = [tex]\frac{wz}{xy^{2} }[/tex]
[tex]k = \frac{\frac{1}{2} * 36 }{2 * 3^{2} }[/tex]
[tex]k = \frac{18}{2 * 9}[/tex]
[tex]k = \frac{18}{18}[/tex]
k= 1
find the value of w when x = 5 , y = 5 and z = 10
[tex]w = \frac{kxy^{2} }{z} \\w= \frac{1 * 5 * 5^{2} }{10}[/tex]
[tex]w = \frac{5^{3} }{10}[/tex]
w = 125 /10
w = 25 /2
w = 12 . 5
Therefore, the value of w is 12.5 when x = 5 , y= 5 and z = 10
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Suppose we are given the following information.
Line 1 passes through (0, 6) and (6, 4).
Line 2 passes through (-1, -7) and (1, -1).
Are these lines parallel, perpendicular, or neither?
Group of answer choices
Since the product of the slope is -1, hence the lines are perpendicular
Parallel and Perpendicular linesTwo lines are known to be parallel if they have the same slope while if two lines are perpendicular if the product of the slope is -1
Given the coordinates of line 1 passing through (0, 6) and (6, 4), the slope is given as;
Slope = 4-6/6-0
Slope = -2/6
Slope = -1/3
Similarly for the coordinate points (-1, -7) and (1, -1).
Slope = -1+7/1+1
Slope of line 2 = 6/2
Slope = 3
Take the product of the slopes
Slope = -1/3 * 3
slope = -1
Since the product of the slope is -1, hence the lines are perpendicular
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Kaley solved 10 x 5 x 2 using the equations below.
10 x 5 x 2 = (10 × 5) × 2
= 50 x 2
= 100
Use the equations below to solve 10 x 5 x 2 in a different way.
10 x 5 x 2
= 10 x (
= 10 x
=
= 100
=
x 2)
Answer + Step-by-step explanation:
10 × 5 × 2
= 10 × (5 × 2) (associative property)
= 10 × (10)
= 10 × 10
= 100
I need some help guys qwq
The surface area of the triangular prism is of 162 cm².
What is the surface area of a prism?The surface area of a prism is given by the sum of all the areas of the prism.
This prism is composed by:
One rectangle of dimensions 10 cm and 7 + 6 + 4 = 15 cm.Two right triangles, of sides 6 cm and 4 cm.For a rectangle, the area is the multiplication of the dimensions, hence:
A1 = 10 x 15 = 150 cm².
For a right triangle, the area is half the multiplication of the sides, hence:
A2 = 0.5 x 6 x 4 = 12 cm².
Hence the surface area is:
A = A1 + A2 = 150 cm² + 12 cm² = 162 cm².
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Find a power series representation for the function. (give your power series representation centered at x = 0. ) f(x) = ln(5 − x)
Recall that for [tex]|x|<1[/tex], we have the convergent geometric series
[tex]\displaystyle \sum_{n=0}^\infty x^n = \frac1{1-x}[/tex]
Now, for [tex]\left|\frac x5\right| < 1[/tex], we have
[tex]\dfrac1{5 - x} = \dfrac15 \cdot \dfrac1{1 - \frac x5} = \dfrac15 \displaystyle \sum_{n=0}^\infty \left(\frac x5\right)^n = \sum_{n=0}^\infty \frac{x^n}{5^{n+1}}[/tex]
Integrating both sides gives
[tex]\displaystyle \int \frac{dx}{5-x} = C + \int \sum_{n=0}^\infty \frac{x^n}{5^{n+1}} \, dx[/tex]
[tex]\displaystyle -\ln(5-x) = C + \sum_{n=0}^\infty \frac{x^{n+1}}{5^{n+1}(n+1)}[/tex]
If we let [tex]x=0[/tex], the sum on the right side drops out and we're left with [tex]C=-\ln(5)[/tex].
It follows that
[tex]\displaystyle \ln(5-x) = \ln(5) - \sum_{n=0}^\infty \frac{x^{n+1}}{5^{n+1}(n+1)}[/tex]
or
[tex]\displaystyle \ln(5-x) = \boxed{\ln(5) - \sum_{n=1}^\infty \frac{x^n}{5^n n}}[/tex]
Graph. (Shade. Dashed line. Solid line?)
x+3y≥3
Answer:
Since the graph looks like this, I would say solid line
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
-3
Step-by-step explanation:
(-3, -1), (-5, 5)
Each point is (x, y).
slope = (difference in y)/(difference in x)
slope = (-1 - 5)/(-3 - (-5)) = -6/(-3 + 5) = -6/2 = -3
The slope is -3
Help, please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
student 2 is correct
Step-by-step explanation:
there are 10 [tex]\frac{1}{10}[/tex] ' s in 1 , so
37 × 10 = 370 ← number of tenths in 37
0.6 = [tex]\frac{6}{10}[/tex] , that is 6 tenths
then
37.6 = 370 + 6 = 376 ← number of tenths
A vector in the xy plane has a magnitude of 25 and an x component of 12. The angle it makes with the positive x axis is?
The angle it makes with the positive x axis in the xy plane is 61.3145 degrees.
In this question,
A normal vector to the plane is any vector that starts at a point in the plane and has a direction that is orthogonal (perpendicular) to the surface of the xy plane .
The magnitude of the xy plane, hypotenuse = 25 units
The x component of the xy plane, base = 12 units
Let θ be an angle, then the angle it makes with the positive x axis is
[tex]\theta = cos^{-1}(\frac{base}{hypotenuse} )[/tex]
⇒ [tex]\theta = cos^{-1}(\frac{12}{25} )[/tex]
⇒ [tex]\theta = cos^{-1}(0.48)[/tex]
⇒ [tex]\theta = 61.3145[/tex]
Hence we can conclude that the angle it makes with the positive x axis in the xy plane is 61.3145 degrees.
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If f (x) = startroot 4 x 9 endroot 2, which inequality can be used to find the domain of f(x)? startroot 4 x endroot greater-than-or-equal-to 0 4 x 9 greater-than-or-equal-to 0 4 x greater-than-or-equal-to 0 startroot 4 x 9 endroot 2 greater-than-or-equal-to 0
Inequality can be used to find the domain of f(x) is (B) 4x+9 greater-than-or-equal-to 0.
What is inequality?The term inequality refers to a mathematical expression in which the sides are not equal. An inequality compares any two values and reveals that one is smaller, greater, or equal to the value on the opposite side of the equation.To find the domain:
“f(x) = StartRoot 4 x + 9 EndRoot + 2” should be written as, note that√(4x + 9) is a variation of the basic function y = √x, whose domain is [0, ∞ ). The domain of f(x) = √(4x + 9) + 2 is found by taking the “argument” 4x + 9 of √(4x + 9) and setting it equal to zero: 4x + 9 ≥ 0, or 4x ≥ -9, or x ≥ -9/4 This is the domain of the given function f(x) = √(4x + 9) + 2. So long as x is ≥ -9/4, the function f(x) will be defined.Therefore, inequality can be used to find the domain of f(x) is (B) 4x+9 greater-than-or-equal-to 0.
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The correct question is given below:
If f (x) = start root 4 x 9 enroot 2, which inequality can be used to find the domain of f(x)?
(A) startroot 4 x endroot greater-than-or-equal-to 0
(B) 4x+9 greater-than-or-equal-to 0
(C) 4 x greater-than-or-equal-to 0
(D) startroot 4 x 9 endroot 2 greater-than-or-equal-to 0
Answer:
(B)- 4X+9 greater than or equal to 0
Step-by-step explanation:
14) Adelina is comparing prices for two brands of health and energy bars at the local grocery store.
She wants to get the best price for each bar. Feel Great energy bars are $18 for 12 bars. Super
Power bars cost $21.75 for 15 bars.
Answer:
Power Bars are cheaper!
Step-by-step explanation:
FG: $18/12 Bars = $1.50 per bar
PB: $21.75/15 Bars = $1.45 per bar
Answer:
Super Power bars
Step-by-step explanation:
In order to find the best price, we want to calculate the unit rate, or the price for each bar. Let's start with the Fee Great energy bars. Since they are $18 for 12 bars, we divide 18 by 12 to figure out how much each bar costs. We get 1.5, or $1.50 per bar. Next lets claculate the unit rate for the Super Power bars. Since its $21.75 for 15 bars, we divide 21.75 by 15. We get 1.45, or $1.45 per bar. Since the price for one bar is cheaper for the Super Power bars as $1.45 is less than $1.50, the Super Power bars are the best price for each bar.
help!!!! if u don't know DONT answer PLEASE. ty!
We have to fill in the table that we have in the question with the following values as the solution
a. log6⁰, log 2 . 1, log 8/3
b. log 1 .4 , 1 , log 4. 6
c. log 9/2, log 3. 5 , log 5⁷
How to find the logarithm of a numberTo do this, you have to decide on that particular number that you want to find the logarithm on. Next you have to find the base of that number.
The logarithm of the number is the power that it would have to be raised for us to obtain a different number.
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Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Which rule describes the composition of transformations that maps ΔJKL to ΔJ"K"L"?
90 degree rotation about point 0 composition translation of 0 units x, negative 2 units y
Translation of 0 units x, negative 2 units y composition 90 degree rotation about point 0
90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y
Translation of negative 2 units x, 0 units y composition 90 degree rotation about point 0
A rule which describes the transformations that maps ΔJKL to ΔJ"K"L" is: D. translation of -2 units x, 0 units y composition 90 degree rotation about point 0.
What is a transformation?A transformation refers to the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
In Geometry, there are different types of transformation and these include the following:
DilationReflectionRotationTranslationBased on the diagram (see attachment), we can infer and logically deduce that a rule which describes the transformations that maps triangle JKL to triangle J"K"L" is a rotation of 90 degrees about the origin and then translated 2 units left.
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An ellipse has a center at the origin, a vertex along the major axis at (10, 0), and a focus at (8, 0).
Which equation represents this ellipse?
Answer:
In standard form x^2/64 + y^2/100 = 1
Step-by-step explanation:
The major axis is the y axis because 10 has a larger value than 8.
8x8 = 64
10 x10 = 100
Question 1: The population of Ohio's three largest cities are: Cleveland, 479,459; Columbus, 715,230; and Cincinnati, 367,000. The average population of Ohio's three largest cities is:
a. 520,563
b. 620,563
c. 502,563
d. 602,563
Q2: Mr. Gorski bases each student's grade on 4 tests. On the first 3 tests, Horace scored 84, 93, and 88. What must he score on the final test to make his average 90?
a. 85
b. 88
c. 92
d. 95
How many faces, edges and vertices does the shape below have?
Faces:
Edges:
Vertices:
the number of faces, edges and vertices the shape below has is 4, 4 and 6 respectively.
How to determine the numberIt is important to note that according to Euler’s formula for any convex polyhedron, the number of Faces (F) and vertices (V) added together is exactly two more than the number of edges (E).
It is mathematically written as;
Face + vertices = 2 + edges
F + V = 2 + E
From the figure given, we can see that it is a kite
Number of vertices = 4
Number of faces = 4
2 + edges = faces + vertices
2 + edges = 4 + 4
2 + edges = 8
Edges = 8 - 2
Edges = 6
Thus, the number of faces, edges and vertices the shape below has is 4, 4 and 6 respectively.
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What happens when you reflect a shape over the x-axis and then the y-axis. What is the one transformation that could have been performed to achieve the same result?
Answer:
Rotate 180 degrees with the center the origin (0,0)
Step-by-step explanation:
Try drawing a small square in the first quadrant, then reflect it like the direction. If you use tracing paper and and copy the figure, you will see that if you rotate the figure at the origin, it will land on the same spot as the translations.
Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the sum of the number and eight 5(x 11) 3(x 8) startfraction 5 x 11 over 3 x 8 endfraction start fraction 5 (x 11) over 3 (x 8) endfraction 5x 11 3x 8
The overall algebraic expression will be: [tex]\frac{5(x+11)}{3(x+8)}[/tex]
Definition of algebraic expression -
An expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
Five times the sum of a number and eleven, divided by three times the sum of the number and eight.
Let the number be x.
Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:
5(x + 11)
Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:
3(x + 8)
So, the overall algebraic expression will be: [tex]\frac{5(x+11)}{3(x+8)}[/tex]
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A portion of the quadratic formula proof is shown. Fill in the missing statement ( the last answer choice is (x + b/2a = + b^2-4ac/a)
Answer:
[tex]x+\frac{b}{2a}=\pm\frac{\sqrt{b^2-4ac}}{2a}[/tex]
Step-by-step explanation:
So when it says simplify the right side, all it's doing is distributing the square root across division.
So when we distribute the square root we get the fraction
[tex]\frac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}[/tex]
And it's important to know that you cannot distribute the square root across addition/subtraction, but you can with multiplication.
There's a radical identity that states: [tex]\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}[/tex] and this works both ways, so we can use this to combine like radicals or separate them into multiple. In this case we can separate the square root of 4a^2 into two radicals
[tex]\frac{\sqrt{b^2-4ac}}{\sqrt{4} * \sqrt{a^2}}[/tex]
And from here it's pretty easy to see that the square root of 4 is 2, and the square root of a^2 is a, since the square exponent and square root just cancel out.
So we get the following expression on the right side
[tex]\frac{\sqrt{b^2-4ac}}{2a}[/tex]
How would i kill a snake with fractions? it's on my homework question... i dont get it at all
Just me:
? I will just explain what I understand
Answer:
(Think hard) If you cut a snake in half you get 1/2 but if you cut it into 4's 1/5
I tried.
