The equation when the accountant charges a fee of $120 to complete a company's taxes. The accountant also charges an additional $40 per hour to complete the taxes is 120 + 40h.
How to calculate the valueFrom the information, it should be noted that the
accountant charges a fee of $120 to complete a company's taxes. The accountant also charges an additional $40 per hour to complete the taxes.
Let the number of hours be represented by h.
Therefore, the expression to describe the problem will be:
= 120 + (40 × h)
= 120 + 40h
The equation is 120 + 40h.
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State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.
Tossing a coin and then tossing another coin is an example of dependent events .
False, Tossing a coin and then tossing another coin is an example of dependent events .
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.If false, replace the underlined term to make a true sentence. Tossing a coin and then tossing another coin is an example of dependent events .
The outcome of tossing a coin does not affect the out come of rolling a number cube.
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If you get an identity when trying to solve a system of two linear equations, the system's graph
must be
a) two parallel lines
b) two lines that are the same
c) two intersecting lines
d) two perpendicular lines
e) None of the above
Answer:
a) two parallel lines
Step-by-step explanation:
Two parallel lines have the same slope
Let's take a concrete example:
y = 2x + 4 (slope =2, y-intercept = 4)
y = 2x + 10 (slope = 2, y-intercept = 10)
Lines are parallel to each other
If you try to solve this equation you get
2x + 4 = 2x + 10
Subtracting 2x on both sides gives you the identity 4 = 10 (a contradiction)
This means the 2 line equations are inconsistent
3. Find the mode and mean of the following:
Number of TVs
0
1
2
3
4
Frequency
3
15
9
11
1
Mode =
Mean =
A mode can be defined as a statistical term that is used to denote the value that appears most frequently (often) or occurs repeatedly in a given data set. This ultimately implies that, the mode of a data set simply refers to the data point with the highest frequency.
By critically observing the frequencies for the number of TVs shown in the table above, we can logically deduce that the mode is equal to 1.
What is a mean?A mean can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to determine the mean for males?Mathematically, the mean for this data can be calculated by using the following formula:
Mean = [F(x)]/n
Frequency, n = 3 + 15 + 9 + 11 + 1
Frequency, n = 39.
Total number of TVs = 0(3) + 1(15) + 2(9) + 3(11) + 4(1)
Total number of TVs = 0 + 15 + 18 + 33 + 4
Total number of TVs = 70
Substituting the parameters into the formula, we have;
Mean = 70/39
Mean = 1.80.
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please help me with my math!!!!!!!!!!!!!!!!!!!!!!!!
(3/5)^4 and 27/125 which equals 0.216m^3
What is the sum of the first 7 terms of the geometric series below? 1,2,4,8, ,,
Answer:
idududydysehwghsysysgsbebeywyehe
Answer:
S₇ = 127
Step-by-step explanation:
the sum to n terms of a geometric series is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^n-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{2}{1}[/tex] = 2 , then
S₇ = [tex]\frac{1(2^7-1)}{2-1}[/tex] = [tex]\frac{2^7-1}{1}[/tex] = [tex]2^{7}[/tex] - 1 = 128 - 1 = 127
Use the principle of superpositinn to explain why two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Angle is mistaken because triangles of two pairs of congruent sides and one pair of congruent angles do not always satisfy the SAS criterion.
What do we mean by the congruency of a triangle?If all three corresponding sides are equal as well as all three corresponding angles are equal in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same. They coincide if they are repositioned. Two triangles are congruent if they satisfy the five congruence conditions. There are five of them: side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).In the given situation:
Angle is incorrect because triangles with two congruent sides and one congruent angle do not always satisfy the SAS criterion.Therefore, the angle is mistaken because triangles of two pairs of congruent sides and one pair of congruent angles do not always satisfy the SAS criterion.
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Pls help for brainly 2 Figure JKLMN is reflected across the x-axis to form figure J'K'L'M'N'.
4
-6 <-4 -2 o
J
2
M'
4
M
6
N
8
Decide if each statement about figures JKLMN and J'K'L'M'N' is true or false.
Choose True or False for each statement.
a. The y-coordinate of J' is the
opposite of the y-coordinate of J.
b. L' is located at (-3,-4).
c. N and N' both are at the same
distance from the y-axis.
d. L' is located 3 units above the x-axis.
True False
OOOO
O
OO
O
50
Turn in 0. = AA
Page
The result of true and false is-
a) True: J and J' are opposite of y axis.
b) False: Location of L' is (-3, -4).
c) True: N and N' are at same distance.
d) False: L' is at 3 unit above x axis.
What is defined as the reflection on coordinates?The x-coordinates of a point remain constant when it is reflected across the X-axis. However, the Y-coordinates are changed into their inverse signs. As a result, the X-axis reflection of a point (x, y) is (x, -y).As per the given graph;
Part a: True: J and J' are opposite of y axis.
It is clear from the graph that J and J' lies on the opposite side of Y-axis.
The coordinate of J = (2, -6) and J' = (2, 6).
Part b: False: The location of L' is not (-3, -4)
The correct Location of L' is (3, 4) as seen from the graph.
Part c: True: N and N' are at same distance.
The coordinates of N and N' are (5, -5) and (5, 5).
Thus, they are at the same distance from the both axis.
Part d: False: L' is at 3 unit above x axis.
Point L' lies at the distance of 4 units from the x axis.
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Rewrite in simplest terms: -8(10r + 10r - 6) - 3r
HELP ME
After simplifying the expression - 8 ( 10 r + 10 r - 6 ) - 3 r, we get the result as 48 - 163 r.
We are provided with an expression:
- 8 ( 10 r + 10 r - 6 ) - 3 r
We need to write the given expression in the simplest terms that is we need to simplify the expression.
So, we will use the property of BODMAS here.
Solving the bracket first , the expression will become:
= - 8 ( 10 r + 10 r - 6 ) - 3 r
= -8 ( 20 r - 6 ) - 3 r
Now, opening the bracket, we get that:
= - 160 r + 48 - 3 r
Now, combining the like terms, we get the result as:
= - 163 r + 48
= 48 - 163 r
Therefore, after simplifying the expression - 8 ( 10 r + 10 r - 6 ) - 3 r, we get the result as 48 - 163 r.
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Write an equation of a parabola with vertex at the origin and the given focus.
focus at (0,7)
The equation that defines the parabola with vertex at the point (0, 0) and focus at (0, 7) is:
y = x²/28
A parabola is a quadratic function that can move on any axis, it is composed of:
vertexfocal axisdirectrixThe equation that defines a parabola can be given by:
(x - h)² = 4p(y - k)(y - k)² = 4p(x - h)This will depend on its aperture
In this case we have the vertex of the parabola at the point (0, 0) and the focus at the point (0, 7) this is displaced on the y-axis upward, so the parabola is of the form y = x²
(x - 0)² = 4p(y - 0)
Focus
f = (0, 0 + p)
0 + p = 7p = 0 + 7p= 7(x- 0)² = 4*7(y - 0)
(x - 0)² = 28(y - 0)
y = x²/28
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Armando leans an 18 -foot ladder against the side of his house to clean out the gutters. The base of the ladder is 5 feet from the wall. How high up the side of the house does the ladder reach? Express your answer in feet, rounded to the nearest tenth.
The height of house to ladder reach is 17 ft
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
Given data; ladder = 18 ft
The base = 5 ft
In order to find out the height of house.
we know this is triangle shape so we apply here so we consider here x is ladder and y is base and z is height
By pythagoras theorem;
z² + y² = x²
z² = x² -y²
Then put value
z² = 18² - 5²
z² = 299
z = 17.29
z = 17
Therefore, the height of house to ladder reach is 17 ft
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Solve each equation. Check each solution. 3x - 2 / 12 - 1 / 6 =1 / 6
The solution of the equation (3x -2)/12 -1/6 = 1/6 is at x = 2.
According to the given question.
We have an equation (3x -2)/12 -1/6 = 1/6 .
As we know that, an equation is a condition on a variable such that two expressions in the variable should have equal value.
Therefore, the solution of the equation (3x -2)/12 -1/6 = 1/6 is given by
(3x -2)/12 -1/6 = 1/6
⇒ (3x -2)/12 = 1/6 + 1/6 (adding 1/6 both the sides)
⇒ (3x -12)/12 = 2/6
⇒ (3x -2)/12 = 1/3
⇒ (3x -2) = (1/3)12
⇒ 3x -2 = 4
⇒ 3x = 4 + 2
⇒ 3x = 6
⇒ x = 6/3
⇒ x = 2
Hence, the solution of the equation (3x -2)/12 -1/6 = 1/6 is at x = 2.
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a₁ is the first term of a sequence, r is a common ratio, and d is a common difference. Write the first five terms. a₁ =19, d=-4
The first five terms of an arithmetic sequence with first term 19 and common difference -4 are 19, 15, 11, 7, 3
The given parameters:
a₁ = 19, d = -4
d is the common difference, hence, the given sequence is an arithmetic sequence.
In an arithmetic sequence, the formula for the nth term is given by:
a(n) = a(1) + (n - 1) . d
We can also find the terms using recursive formula. The nth term of an arithmetic sequence is equal to the (n-1)th term plus the common difference, d. Mathematically,
a(n) = a(n -1) + d
Let us start from n = 1
a(1) = 19 (given)
a(2) = a(1) + d = 19 + (-4) = 15
a(3) = a(2) + d = 15 + (-4) = 11
a(4) = a(3) + d = 11 + (-4) = 7
a(5) = a(4) + d = 7 + (-4) = 3
Thus, the first five terms are 19, 15, 11, 7, 3
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Im confused on the rug question. If you can when you give me the answer can you explain it also?
I think it's trying to get you to find the side length of the square by using a square root on the area.
Assuming that's the case;
Remember that a square has equal side lengths all around, otherwise it would just be a rectangle. You can actually take the square root of a square to get the side length (hence the name square root). A square root is what number you must multiply by itself to get the root, so for example the square root of 25 is 5 because you can multiply 5 by 5 to get 25. The square root of 100 is 10, because you can multiply 10 by itself to get 100. So you would write this as [tex]\sqrt{100}[/tex], which simplifies down to 10.
Write the function rule for the function shown below reflected in the given axis.
f(x) = 6x; x-axis
Let g(x) be the reflection of f(x) in the x-axis. What is the function rule for g(x)?
g(x)=
The function rule for g(x) is g(x) = -6x
How to determine what is the function rule for g(x)?The equation of the function f(x) is given as
f(x) = 6x
From the question, we understand that:
The function g(x) is the reflection of the function f(x) over the x-axis
This means that
g(x) = -f(x)
So, we have
g(x) = -6x
Hence, the function rule for g(x) is g(x) = -6x
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Work out the length x in the triangle below.
If your answer is a decimal, give it to 1 d.p.
area = 26 m²
13 m
x
30°
PLEASE HELP WITH THIS QUESTION!!
Answer:
x = 8
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] absinC
where a and b are 2 sides of the triangle and C the angle between them
here a = 13 , b = x , C = 30° and A = 26 , then
[tex]\frac{1}{2}[/tex] × 13 × x × sin30° = 26 ( multiply both sides by 2 to clear the fraction )
13x × sin30° = 52 ( using the exact value of sin30° = [tex]\frac{1}{2}[/tex] )
13x × [tex]\frac{1}{2}[/tex] = 52 ( multiply both sides by 2 to clear the fraction )
13x = 104 ( divide both sides by 13 )
x = 8
Which ratios have a unit rate greater than 1? Choose ALL that apply.
9
8
9/5
5
-
miles: hour
6
miles: 3 hours
4)
1
4 miles: 3 hours
3
7 miles:
34
hour
121-1/4
2 miles : 3 hours
1
3
318
mile: 2 hours
Answer:
A and E (top left and bottom middle)
Step-by-step explanation:
Unit rates are found when a ratio has a denominator of 1. For the sake of simplicity, I will give the options in the image letter designations. A, B, and C are the top three from left to right, and D, E, and F are the bottom 3 from left to right.
A
[tex]\frac{9}{5} miles:\frac{5}{6}hour[/tex]
Because ratios can be written as fractions, this ratio can be written:
[tex]\frac{\frac{9}{5}}{\frac{5}{6}}[/tex]
That's a mess! Another way to divide fractions is to multiply by the reciprocal of the denominator:
[tex]\frac{9}{5}*\frac{6}{5}[/tex]
Since none of the terms can be cross-cancelled, multiply!
[tex]=\frac{54}{25}[/tex]
Since the numerator is greater than the denominator, the unit rate is greater than one!
B
[tex]4miles:3\frac{1}{3}hours[/tex]
Start by turning the mixed number into an improper fraction:
[tex]3\frac{1}{3}=\frac{10}{3}[/tex]
Now compare by multiplying 4 over 1 by the reciprocal of 10 thirds:
[tex]\frac{4}{1}*\frac{3}{10}[/tex]
Cross-cancel and multiply:
[tex]=\frac{2}{5}[/tex]
Since the numerator is less than the denominator, the unit rate is less than one!
C
[tex]2\frac{1}{2} miles:3hours[/tex]
Convert the mixed number into an improper fraction:
[tex]2\frac{1}{2} =\frac{5}{2}[/tex]
Multiply by the reciprocal of 3:
[tex]\frac{5}{2}*\frac{1}{3}[/tex]
Multiply!
[tex]\frac{5}{6}[/tex]
Since the numerator is less than the denominator, the unit rate is less than one!
D
[tex]\frac{9}{5} miles :3hours[/tex]
Multiply by the reciprocal of 3:
[tex]\frac{9}{5}*\frac{1}{3}[/tex]
Cross cancel and multiply!
[tex]=\frac{3}{5}[/tex]
Since the numerator is less than the denominator, the unit rate is less than one!
E
[tex]7 miles :\frac{3}{4}hour[/tex]
Multiply by the reciprocal of 3 fourths:
[tex]\frac{7}{1}*\frac{4}{3}[/tex]
Multiply:
[tex]=\frac{28}{3}[/tex]
Since the numerator is greater than the denominator, the unit rate is greater than one!
F
[tex]\frac{1}{3}mile:2\frac{3}{8}hours[/tex]
Convert the mixed number into an improper fraction:
[tex]2\frac{3}{8}=\frac{19}{8}[/tex]
Multiply one third by the reciprocal of 19 eighths:
[tex]\frac{1}{3}*\frac{8}{19}[/tex]
Multiply!
[tex]=\frac{8}{57}[/tex]
Since the numerator is less than the denominator, the unit rate is less than one!
Which equation is correct
a) 2 + 3 x 4 = 14
b) 2 + 3 x 4 = 20
Answer:
A. Is the correct answer
Step-by-step explanation:
Step 1: Multiply (3 x 4 = 12)
Step 2: Add (12 + 2 = 14)
I hope i was able to help you out :)
Find an explicit relation between x and y in the form f(x,y)=1 by eliminating the parameter
The explicit relation between x and y in the form is (x2)2+(y2)2=sin2+cos2.
Given that x=2sin, y=2cos, and 0 are constants,
Simplify the parametric functions that are presented. Add their squares after taking them. The following trigonometric identity can be used:
sin2θ+cos2θ=1sin2θ+cos2θ=1
x=2sinθ,
y=2cosθ,0≤θ≤2πsinθ
=x2cosθ,
=y2x
Y=2sinθ,
y=2cosθ,0≤θ≤2πsinθ=x2cosθ=y2
Square them now and add them:
(Using the trigonometric identity sin2+cos2=1)x24+y24=1, where (x2)2+(y2)2=sin2+cos2)
(Using the trigonometric identity sin2+cos2=1)x24+y24=1, where (x2)2+(y2)2=sin2+cos2)
A parameter in a parametric equation can stand in for anything, including an angle. When a parameter is an angle—as opposed to a non-angle parameter—the plane curve can be graphed by choosing values for the angle and computing the x- and y-values.
Hence, the explicit relation between x and y in the form is (x2)2+(y2)2=sin2+cos2.
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What are the solutions to the system of equations?
y = x² - 3
x - y = 1
Answer: x has no solutions, y has no solutions
Step-by-step explanation:
y = x² - 3
x - y = 1
x - x² - 3 = 1
- x² - x - 3 = 1
- x² - x - 4 = 0
- x² - x - 16/4 = 0
- x² - x - 1/4 - 15/4 = 0
- (x² + x + 1/4) - 15/4 = 0
- (x+1/2)^2 - 15/4 = 0
- (x+1/2)^2 = 15/4
(x+1/2)^2 = -15/4 ==> x has no solutions, y has no solutions
any number to an even power, in this case to the power of 2, has to be positive, but -15/4 is negative.
The possible values of x are given. by x minus 4 is greater than or equal to -1. what is the greatest possible value of -5x
Answer:5
Step-by-step explanation:
Tell whether each equation is in slope-intercept, point-slope, or standard form.
a. y+2=-2(x-1)
y+2=-2(x-1) is in point-slope form, it is neither in slope-intercept form nor standard form.
What is a slope of line?A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.
The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.
Therefore,
m = y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.
Be aware that tan ∅ = y/x
We also refer to this tan as the line's slope.
We know that point-slope form = y₂ - y₁ = m(x₂ - x₁)
the equation looks like this in point-slope form ⇒ y-(-2)= -2(x-1)
Here, the points are (x, y) and the points the line is passing through is
(1, -2)
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A circle whose center is at (1, -3) passes through the point (7, 5). whats the radius?
The distance from the center to any point on the circle exists comprehended as the radius. The radius is 10cm.
What defines the radius of a circle?The radius of a circle is the separation between any two points on the circle and its center. The radius of a circle is the separation between any two points on its circumference. R or r is typically used to indicate it.
The distance along a line connecting a circle's center to a point on its perimeter is known as a circle's radius. Therefore, the radius is equal to half the diameter's length. Therefore, the radius is equal to half the diameter's length.
The radius of a circle is the separation between any two points on the circle and its center.
In this instance (using the Pythagorean Theorem)
r = [tex]\sqrt{(7-1)^{2}+(5-(-3))^{2} }[/tex]
= √(36 + 64)
r = 10
If a circle whose center is at (1, -3) passes through the point (7, 5) then the radius of the circle exists 10.
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f (x) = 8 (1.25) ^ -2.5
How are algebraic expressions and numerical expressions alike? How are they different? Include examples to justify your reasoning.
The algebraic expression is the expression that contains numbers and variables and the numerical expression is the expression that contains numbers and operations
Given,
The algebraic expression is the expression that contains numbers and variables
Example : x+3
The numerical expression is the expression that contains numbers and operations
Example : 2+6
Hence, the algebraic expression is the expression that contains numbers and variables and the numerical expression is the expression that contains numbers and operations
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A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2), what is the equation for a parallel street that passes through (2, −3)?
y = 3x + 11
y = 3x − 9
y equals negative 1 third times x plus 1
y equals negative 1 third times x minus 7 thirds
The equation of the line parallel to the first line is y = 3 · x - 9. (Correct choice: B)
How to determine an equation of the line parallel to another line
In this question we must derive the equation of the line for a given street and look for another equation of the line parallel to the previous one. Lines are first order polynomials of the form y = m · x + b, where m and b are the slope and the y-intercept, respectively.
Now we present the procedure in detail. First, find the equation of the first line:
5 = 4 · m₁ + b₁ (1)
2 = 3 · m₁ + b₁ (2)
(m₁, b₁) = (3, - 7)
Second, determine the equation of the line parallel to the line found in the previous step: (Please notice that two lines are parallel to each other when they share the same slope but have different y-intercepts)
- 3 = 3 · 2 + b₂
b₂ = -3 - 6
b₂ = - 9
The equation of the line parallel to the first line is y = 3 · x - 9. (Correct choice: B)
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Answer: The correct answer is B
Expand each binomial. (x-2)⁴
The expand each binomial. (x - 2)⁵ is:
x⁴ - 8x³ + 24x² - 32x + 16
What is a polynomial?A polynomial is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms.
Depending on the number of terms it can be :
monomialbinomialtrinomialWe solve first by perfect square trinomial, then we apply the distributive property.
(a - b) = a² + 2ab + b²(x - 2)⁴ = (x- 2)²(x - 2)²
(x - 2)⁴ = (x² - 4x + 4)(x² - 4x + 4)
(x - 2)⁴ = (x⁴ - 4x³ + 4x²) + (-4x³ + 16x² - 16x) + (4x² - 16x + 16)
(x - 2)⁴ = x⁴ - 4x³ + 4x² -4x³ + 16x² - 16x + 4x² - 16x + 16
(x - 2)⁴ = x⁴ - 8x³ + 24x² - 32x + 16
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Write the first five numbers of two different patterns in which 12 is the third number.
Write the first five numbers of two different patterns in which 12 is the third number.
Pattern 1= 4, 8, 12, 16, 20
Pattern 2= 2,4,12,48,240
How to calculate the patterns?
Pattern 1=multiples of 4
4*1=4
4*2=8
4*3=12
4*4=16
4*5=20
Pattern 2= tn=(tn-1)*n
t1=2
t2=2*2=4
t3=4*3=12
t4=12*4=48
t5=48*5=240
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what is the answear for 12x+7x 2 squared +5x+9x 2 squared
Answer: x=4
Step-by-step explanation:
it is impossible to solve x
Dile
A college radio station has an $800 monthly CH.
budget. 60% of this budget is spent on media. The
station receives a 30% media discount. How much
money will the station save annually?
12
Answer:
$144
Step-by-step explanation:
$800 × .60 = $480 spent on media
$480 × .30 = $144 media discount
lengths of corresponding side of 2 similar right ratio is 4:5 and hypotenuse of the smaller triangle is 24 inches long. How many inches long is the hypotenuse of the larger triangle?
The hypotenuse of the larger triangle is 30 inches
How many inches long is the hypotenuse of the larger triangle?The ratio is given as
Ratio = 4 : 5
The smaller triangle has a length of 24 inches
So, we have
24 : Larger triangle = 4 : 5
Multiply 4 : 5 by 6
So, we have:
24 : Larger triangle = 24 : 30
By comparison, we have
Larger triangle = 30
Hence, the hypotenuse of the larger triangle is 30 inches
Read more about similar triangles at:
https://brainly.com/question/14285697
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