2 x 10^5 miles is the correct answer.
A power of ten in mathematics is defined as one of the integer powers of a number multiplied by ten. Integers can be both positive and negative. To find the multiple of ten, we need to add 10 to itself several times (if the power is a positive integer).
if we have a value that says ten ^5,
then this value is equal to:
= 10 x 10 x 10 x 10 x 10
= 10,0000
Also, by the definition of a multiple of ten, the number 1 is a power of 10 as well if we take the 0th power of 10.
10^0 = 1
Whatever the integer is, it is multiplied by 10 n times. So, the long form of a power of 10 is the number 1, followed by n zeros, where the n number is greater than the 0 value.
Here the distance that is given to us is:
238,855
We can also write it as,
2 x 10 ^ 5.
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What is the area of the composite figure?
A. 500
b. 490.62
C.245.31
D. 745.31
Answer:
D
Step-by-step explanation:
hope this works for you :)
Rationalize the denominator of each expression. Assume that all variables are positive. 5√3x³ / 2y
The rationalization the denominator of the given expression is [tex]\frac{5\sqrt{6}x^3 }{2\sqrt{y} }[/tex] .
Rationalization can be thought of as the process used to remove the base or imaginary number from the denominator of an algebraic fraction. That is, remove the radical of the fraction so that the denominator contains only rational numbers. Radicals are expressions that use roots such as: B. Square root or cube root. For example, an expression of the form: √(a + b) is a root.The mathematical conjugate of any binomial means another exact binomial with opposite signs between the two terms.We have given an expression [tex]\frac{5\sqrt{3}x^3 }{\sqrt{2y} }[/tex] .
The denominator of the expression is [tex]\sqrt{2y}[/tex] .
Multiply the fraction in the numerator and denominator by [tex]\sqrt{2y}[/tex] , we get
[tex]\frac{5\sqrt{3}x^3\times\sqrt{2y} }{\sqrt{2y} \times\sqrt{2y} }=\frac{5\sqrt{6}x^3\sqrt{y} }{2y}[/tex]
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A line has one endpoint of (-3,7) and a midpoint of (5,2). What is the other endpoint ?
The another endpoint of a line is (13, -3).
What is Straight line?
A line with no curve is called a straight line.
Given that;
One endpoint of a line = (-3, 7)
Midpoint of a line = (5, 2).
Now, Let the other endpoint of a line = (x, y)
Then, Other endpoint is solve by the definition of midpoint of two points as;
(x + (-3) / 2 , y + 7 / 2 ) = (5, 2)
(x - 3 / 2 , y + 7 / 2) = (5, 2)
By compare we get;
x - 3/ 2 = 5
x - 3 = 2 * 5
x - 3 = 10
x = 10 + 3
x = 13
And,
y + 7 / 2 = 2
y + 7 = 2 * 2
y + 7 = 4
y = 4 - 7
y = -3
Hence, The another endpoint of a line is (13, -3).
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round 18,799 to the nearest ten thousand
I need help with this problem please and thank you
The transformation here is; the original function was moved '1' unit downwards.
What is the Transformation of the given Function?Transformations simply takes the basic function and transforms it to another function.
The rules of transformation are;
f(x) transformed to f(x) + a means that the function will be moved 'a' units upwards.f(x) transformed to f(x) - a means that the function will be moved 'a' units downwards.f(x) transformed to f(x + a) means that the function will be moved 'a' units to the left.f(x) transformed to f(x - a) means that the function will be moved 'a' units to the rightFrom the question, the original function is;
f(x) = x + 4
Now, we are told that it undergoes a transformation to;
f(x + 4) - 1
From the transformation rules above, we can say that the transformation here is; the original function was moved '1' unit downwards.
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Solve each proportion. x/7 =28/49
Answer:
x = 4
Step-by-step explanation:
[tex]\frac{x}{7}[/tex] = [tex]\frac{28}{49}[/tex] ( cross- multiply )
49x = 7 × 28 = 196 ( divide both sides by 49 )
x = 4
내
Pls help I need. Jnfndnxmdnddbbddbfbfbfbff
Answer:
4 is 4 2/3
Step-by-step explanation:
3 can only go in 14 4 times with 2 leftover
Rhombus EFGH is rotated 90° counterclockwise about vertex G. How many pairs of parallel sides does the rotated figure have? 0 1 2 4
The number of pairs of parallel sides the rotated figure have is 2
What are parallel sides?Parallel sides or lengths are line segments or lines in the same plane that extend on both sides without intersecting
How to determine the number of pairs of parallel sides the rotated figure have?The shape is given as:
Shape = Rhombus
Rotation= 90 degrees counterclockwise rotation about the vertex G
The rotation transformation is a rigid transformation
This means that when a shape is rotated by 90 degrees counterclockwise about a vertex (in this case, the vertex G), the image of the rotation would have the same properties as the preimage
A rhombus has 2 pairs of parallel sides
This means that the number of pairs of parallel sides the rotated figure have will also be 2 (same as the original shape)
Hence, the number of pairs of parallel sides the rotated figure have is 2
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M=rp+c solve the equation below for p
In M = rp+c, the equation illustrated shows that the value for p is p = (M - c)/r.
How to illustrate the information?It should be noted that in Mathematics, an equation is used to illustrate or show the relationship that can be found with the variables that are expressed.
In this case, it should be noted that the given equation is illustrated as:
M = rp + c
Subtract c from both sides
M - c = rp + c - c
M - c = rp
Divide through by r
(M - c) / r = rp/r
p = (M - c)/r
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The measure of an angle's supplement is 51 degress less than the measure of the angle. Find the measures of the a and its supplement
Step-by-step explanation:
supplementary angles mean that they are together 180°.
so,
a + (a - 51) = 180
2a - 51 = 180
2a = 231
a = 115.5°
its supplement is 180 - 115.5 = 64.5°
The measure of the angle's supplement is 64.5 degrees.
Let's denote the measure of the angle as "a" degrees. The supplement of an angle is the angle that, when added to the given angle, results in a total of 180 degrees (because the sum of angles in a straight line is 180 degrees).
According to the problem, the measure of the angle's supplement is 51 degrees less than the measure of the angle. Mathematically, we can express this as:
Supplement angle = Angle - 51
Since the sum of the angle and its supplement is 180 degrees, we can write the equation:
Angle + Supplement angle = 180
Substitute the expression for the supplement angle:
a + (a - 51) = 180
Combine like terms:
2a - 51 = 180
Now, solve for "a":
2a = 180 + 51
2a = 231
a = 231 / 2
a = 115.5
So, the measure of the angle "a" is 115.5 degrees.
Now, to find the supplement angle:
Supplement angle = a - 51 = 115.5 - 51 = 64.5
Therefore, the measure of the angle's supplement is 64.5 degrees.
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Which inequality is represented by the number line?
The inequality represented by the number line is x ≤ -6
What is straight line?A straight line of numbers is shown visually as a number line. . On a horizontal number line, the numbers grow as we walk to the right and decrease as we move to the left.
Given that,
The response must include both a less than and a negative sign.
At -6, the graph displays a closed circle.
which means that -6 is a solution to the inequality.
The darkened arrow on all values greater than -6 denotes that x -6 is the proper inequality.
The inequality represented by the number line is x ≤ -6
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What is the maximum y -value of the parabola?
A parabola's maximum value is the y-coordinate of its vertex when it opens downward.
What do we mean by a parabola?A parabola is a plane curve that is mirror-symmetrical and roughly U-shaped in mathematics. It fits several seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.A parabola is defined by a point (the focus) and a line (the directrix). The directrix is not the center of attention. The parabola is the location in that plane of points that are equidistant from both the directrix and the focus. A parabola can also be described as a conic section formed by the intersection of a right circular conical surface and a plane parallel to another plane tangential to the conical surface.A parabola's maximum value is the y-coordinate of its vertex when it opens downward. The y-coordinate of the vertex of a parabola that opens up is its minimum value.Therefore, a parabola's maximum value is the y-coordinate of its vertex when it opens downward.
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The stemplot displays the selling prices of homes for ABC Realty in April. A stemplot titled Home Sale Data for A B C Realty. The stems are 0, 1, 2, 3, 4. The first column of leaves is 67, 23, 13, blank, 59. Column 2 is 85, 81, 25, blank, 82. Column 3 is 92, 81, 76, blank, blank. Column 4 is blank, 96, 77, blank, blank. Column 5 is blank, blank, 87, blank, blank. Key: 1 slash 23 = 123,000 dollars. Select the correct set of data for the stemplot. $459,000, $277,000, $67,000, $123,000, $213,000, $482,000, $85,000, $181,000, $300,000, $225,000, $92,000, $181,000, $287,000, $196,000, $276,000 $459,000, $277,000, $67,000, $123,000, $213,000, $482,000, $85,000, $225,000, $92,000, $181,000, $287,000, $196,000, $276,000 $459,000, $277,000, $67,000, $123,000, $213,000, $482,000, $85,000, $181,000, $225,000, $92,000, $181,000, $287,000, $196,000, $276,000
The data from the stemplot is $459,000, $277,000, $67,000, $123,000, $213,000, $482,000, $85,000, $181,000, $225,000, $92,000, $181,000, $287,000, $196,0900, $276,000.
What is the data from the stemplot?A stemplot is a table that has similar features with to a histogram. A stemplot divides a number into a stem and a leaf. The stem is the first digit in a number and the leaf is the rest of the numbers. For example, the number 223, 2 would be the stem and 23 would be the leaf.
Advantages of a stemplot is that it displays all of the data in the dataset. A stemplot is also easy to interpret. Stemplots also give a concise representation of a dataset. A disadvantage of a stemplot is that is can only be used for a small dataset.
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For what values of t are the following expressions undefined?
(10-t)/(t-7)
10/(3t-15)
Answer:
7, 5
Step-by-step explanation:
Change the denominator to make the end result 0. Anything with a 0 denominator results in it being undefined.
The expression (10-t)/(t-7) is undefined when t=7.
The expression 10/(3t-15) is undefined when t=5.
To find the values of t for which the expressions are undefined, we need to look for any values of t that make the denominators equal to zero.
we know that dividing by zero is undefined.
For the expression (10-t)/(t-7), the denominator is t-7.
So, this expression is undefined when t-7=0
To find the value of t that makes t−7=0, solve the equation:
t-7=0
t=7
So, the expression (10-t)/(t-7) is undefined when t=7.
For the expression 10/(3t-15), the denominator is t-7.
So, this expression is undefined when 3t-15=0
To find the value of t that makes 3t-15=0, solve the equation:
3t-15=0
Add 15 on both sides:
3t=15
Divide both sides by 3:
t=5
So, the expression 10/(3t-15) is undefined when t=5.
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How many times do you need to divide by ten to get from 7190.77190.77190, point, 7 to 0.719070.719070, point, 71907?
help i do not understand this
Answer:
74 degrees
Step-by-step explanation:
180-32=148
148÷2=7
find the product of 3x^4y^5 and 2x^2+y
Shayla cuts 6 strips of ribbon to make hair bows. When she is done, she realizes that each strip is 1/8 inch too short. How does the total length of the strips compare to what their total length should have been?
The total length of the strips will be 6L. Then the total length of the ribbon should have been 6L + 6/8.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Shayla cuts six ribbon pieces to create hair bows. She completes it, only to discover that each strip is 1/8 inch too short.
Let L be the length of the strips of ribbon. Then the total length of the strips will be
⇒ 6L
The total length of the ribbon should have been
⇒ 6(L + 1/8)
⇒ 6L + 6/8
The total length of the ribbon should have been 6L + 6/8.
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f(x) = x - 8 and g(x) = x + 3, find f(1/2) • g(1/2)
Answer in decimal form = -26.25
Answer as an improper fraction = -105/4
========================================================
Work Shown:
1/2 = 0.5
Replace every copy of x with 0.5 in the f(x) function.
f(x) = x-8
f(0.5) = 0.5-8
f(0.5) = -7.5
Repeat the same idea for the g(x) function
g(x) = x+3
g(0.5) = 0.5+3
g(0.5) = 3.5
Then multiply the results
f(0.5)*g(0.5) = (-7.5)*(3.5) = -26.25
Then optionally convert to an improper fraction following the steps shown below.
-26.25 = -(26.25)
-26.25 = -(26+0.25)
-26.25 = -(26+1/4)
-26.25 = -(26*(4/4)+1/4)
-26.25 = -(104/4+1/4)
-26.25 = -105/4
Please Help! Determine the range of the following graph:
Answer:
-4 ≤ y ≤ 2
Step-by-step explanation:
You want the range of the graph shown.
RangeThe range of a relation is the set of output values of the relation, the vertical extent of its graph.
The graph shown extends continuously from an absolute minimum of y=-4 to an absolute maximum of y=2.
The range is -4 ≤ y ≤ 2.
Given the function r(x) = -2/3x + 4 for what value of x is r(x) = -4
The value of x when r(x) = -4 is 20/3.
Given, the function is r(x) = ₋2/3x ₊ 4
substitute r(x) = ₋4 in the value of r(x)
r(₋4) = ₋2/3(₋4) ₊ 4
r(₋4) = 8/3 ₊ 4
r(₋4) = 8 ₊ 12/3
r(₋4) = 20/3
hence we get the value as 20/3
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Simplify the quantity 9 minus two thirds times the square root of 9 end quantity squared plus the quantity 1 minus 6 end quantity squared.
74
24
495
1,225
Answer:
1225
Step-by-step explanation: i did the tesr b
Help???? Anyone answer this..
The recursive equation here is; a_n = 3n - 1
How to find the nth term of arithmetic sequence?Formula for the nth term of an arithmetic sequence is;
an = a + (n - 1)d
where;
a is first term
n is position of term
d is common difference
We are given that;
First term; a = 2
Second term; a2 = 5
Common difference; d = 3
Thus, recursive equation here is;
a_n = 2 + 3(n - 1)
a_n = 2 + 3n - 3
a_n = 3n - 1
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Find the inverse of each function. Is the inverse a function? y=(x+4)³-1
Inverse of the give function F(x) = ( x + 4 )³ - 1 is F⁻¹(x) = [√( x + 1 ) ] - 4.
Given is a function of x, F(x) = ( x + 4 )³ - 1
These question can be solved by following 4 easy steps
Step 1 : Switch the F(x) with the variable y
This implies, F(x) = ( x + 4 )³ - 1 becomes y = ( x + 4 )³ - 1
Step 2 : Interchange the variable x and y in the above obtained equation
This implies, from the equation y = ( x + 4 )³ - 1, we get
x = ( y + 4 )³ - 1
Step 3 : Solve the new obtained equation for y
This implies, we have to simplify the equation by rearranging the terms to get the equation in terms of the variable x.
x = ( y + 4 )³ - 1
=> x + 1 = ( y + 4 )³
=> (y + 4 )³ = x + 1
=> y + 4 = √( x + 1 )
=> y = √( x + 1 ) - 4
Hence we obtain the required equation.
Step 4 : Switch the variable y with F⁻¹(x)
This implies, y = √( x + 1 ) - 4 becomes F⁻¹(x) = √( x + 1 ) - 4
Therefore, we get the inverse of the give function F(x) = ( x + 4 )³ - 1 as F⁻¹(x) = [√( x + 1 ) ] - 4.
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3/8 = b/2 have I’m having much trouble
Answer:
b = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}[/tex] = [tex]\frac{b}{2}[/tex] ( cross- multiply )
8b = 6 ( divide both sides by 8 )
b = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
Answer:
b=3/4
Step-by-step explanation:
3/8=b/2
First you will need to cross multiply because apparently that's how we do things. To cross multiply, you would just have to take the bottom of the fraction from the LHS (left hand side) and times it with the top part of the fraction in RHS (right hand side). You do the same thing to the other side (take the top part of LHS and multiply it with the bottom of RHS). Make sure to keep the = sign in the middle.
8 x b = 3 x 2 (8 x b= 8b)
8b=6
Then, you would have to make the b on the LHS alone so you would have to divide the RHS by 8. (To move from one side to another, you would have to change it to the opposite of the sign like if it's -9, then to the other side it would be +9 and if it's x8 then the other side would be /8 and vice versa).
b=6/8
You will have to simplify unless the question asks you not to but I'll do it anyways. 2 goes into 6 and 8 as a common factor and so the answer should look like this:
b=3/4
If you have any further questions please ask me!
At a carnival, single rides cost $2 each, and all day ride passes cost $15. The total revenue for the day was $2,960. Which equation can be used to represent x, the number of single ride passes sold and y, the number of all day ride passes sold?
2x + 15y = 2,960
12x + 5y = 2,960
15x + 2y = 2,960
17x + 15y = 2,960
Answer:
2x + 15y + 2,960
Step-by-step explanation:
Single Rides are $2 each, represented by x
All day passes are $15 each represented by y
Combined they equal the total revenue; 2,960.
Solve each equation.
3{x}=27
The value of x for the equation 3ˣ = 27 is 3.
What is a linear equation?A linear equation with one variable is one that has just one variable. It has the formula Ax + B = 0, with A and B being any two real integers and x being an ambiguous variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.
One method for expressing a linear equation is in the slope-intercept form (the equation of a line). Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is often simple.
The equation is -
3ˣ = 27
It can be expressed as -
3ˣ = 3³
x= 3
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x • 1 + x = _____.
1
Solve each equation.
3²x=27
After solving the equation, x = 3/2 is the value of x in [tex]3^{2x}[/tex] = 27
⇒ [tex]3^{2x}[/tex] = 27
⇒ [tex]3^{2x}[/tex] = [tex](3)^3[/tex]
⇒ 2x = 3
⇒ x = 3/2
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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What is log 33,000- log 99+ log 30 ?
We will get [tex]\left\{\begin{array}{l}\log \cdot 33 \\-\log \cdot 99+\log \cdot 30\end{array}\right.[/tex] after simplifying the given expression
log 33,000- log 99+ log 30.
What is an expression, exactly?In mathematics, an expression is a sentence that contains at least two numbers or variables as well as at least one mathematical operation.Addition, subtraction, multiplication, and division are examples of math operations.An expression has the following structure: (Number/variable, Math Operator, Number/variable) is an expression.So,
Given: log 33,000- log 99+ log 30Then,
[tex]\left\{\begin{array}{l}\log \cdot 33 \\000-\log \cdot 99+\log \cdot 30\end{array}\right.\\\left\{\begin{array}{l}\log \cdot 33 \\-\log \cdot 99+\log \cdot 30\end{array}\right.[/tex]
Therefore, we will get [tex]\left\{\begin{array}{l}\log \cdot 33 \\-\log \cdot 99+\log \cdot 30\end{array}\right.[/tex] after simplifying the given expression log 33,000- log 99+ log 30.
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