Direct variation is represented by this situation and she earn $900
if she works 12 hours.
What are direct variation and indirect variation?Direct variation describes a relationship whereby one measure directly affects the other when the first one changes. This is completely opposed by inverse variation. Learn the definitions of direct and inverse variations in this article, along with some instances that have been solved.
How do inverse and direct variations differ from one another?When x is not equal to 0, y = kx is the equation that describes the linear function known as direct variation. An equation of the form xy = k, where x is not equal to zero and k is a nonzero real number constant, describes the nonlinear function known as inverse variation.
5 hours = earns $ 375
1 hours = 375/5 = earns $ 75
12 hours = 75 12 = earns $ 900
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Help me please and thank you
Answer:
Equation: [tex]\frac{7}{3}t + \frac{5}{2}t = 87[/tex]
Hours: 18
Step by Step:
(7/3)t + (5/2)t = 87
(14/6)t + (15/6)t = 87
(29/6)t = 87
29t=522
t=28
What is the smallest positive integer that is both a multiple of $7$ and a multiple of $4$?
The smallest positive integer that is both a multiple of 7 and a multiple of 4, is 28 .
How to find the smallest positive integer ?To find the smallest positive integer that is both a multiple of 7 and a multiple of 4, first find the multiples of both 4 and 7 to see which multiples are common between them and which are the lowest.
The multiples of 4 and 7 are:
Multiples of 4 :
4, 8, 12, 26, 20, 24, 28, 32, 36, 40,
Multiples of 7 :
7 , 14 , 21 , 28 , 35 , 42 , 49
The smallest positive integer that is both a multiple of 7 and a multiple of 4 is therefore 28.
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What are the 4 types of polynomials terms )?
Constant or Zero polynomial, Linear polynomial, Quadratic polynomial, Cubic polynomial, and Quartic polynomial are the five kinds of polynomials.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.
Constant Polynomial Function: P(x) = a = ax.
Zero Polynomial Function: P(x) = 0; where all ai's are zero, i = 0, 1, 2, 3, …, n.
Linear Polynomial Function: P(x) = ax + b.
Quadratic Polynomial Function: P(x) = ax2+bx+c.
Cubic Polynomial Function: ax3+bx2+cx+d.
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a) A train travels from City A to City B. The table below shows the distance and
the amount of time it takes on the train.
Distance (km)
Time (in minutes)
9
3
15 21
5 7
OThe train does not always go the same distance each minute.
OThe train appears to go the same distance each minute.
Predicted distance traveled in 8 minutes: km
Answer:
Step-by-step explanation:
from the figure we kown the speed is 9/3=15/5=21/7=3 km per minute
the distance in 8 minute is 3 ×8=24 km
Help with a bit of math??
Answer:
b.x=30
c.x=21
Step-by-step explanation:
What is the difference of the two polynomials 9x2 8x 2x2 3x?
The difference between the two polynomials (9x²+8x) - (2x²+3x) is:
7x² + 5x.
Polynomial:
A polynomial is a type of algebraic expression where the exponents of all variables must be integers. The exponent of each polynomial variable must be a non-negative integer. A polynomial consists of a constant and a variable, but you cannot divide a polynomial by a variable.
Example: Express the polynomial 5 + 2x + x2 in standard form.
To express the above polynomial in standard form, first check the degree of the polynomial.
The degree of the given polynomial is two. Write an expression involving the degree of the polynomial.
There is a term with variable exponent less than 2, i.e.1, then write it down.
Finally, we write a term with the variable exponent 0 as the constant term.
According to the Question:
Given polynomials is:
(9x²+8x) - (2x²+3x)
First, multiply the negative sign in the second polynomial
i.e., (9x²+8x) - (2x²+3x)
= 9x²+8x - 2x²-3x
Now, evaluate those terms who have same variables
= 9x² - 2x² +8x-3x
= 7x² + 5x
Hence, the difference between polynomials are: 7x² + 5x.
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When rewriting a radical expression to a rational exponent expression, which number becomes the denominator of the exponent
A. The exponent
B. The root/index
C. The radicand
D. The constant
Answer:
B. The root/index.
Step-by-step explanation:
For example:
∛x = x^1/3
3 is the root index which becomes the denominator (3) of the exponent.
According to a Harris poll, 5% of U.S. adults admitted to having spent money gambling online. If a U.S. adult is selected at random, what is the probability that he or she has never spent any money gambling online
If a U.S. adult is selected at random, the probability that he or she has never spent any money gambling online is 95.
What is gambling?Gambling, the betting or staking of something of value, with consciousness of risk and hope of gain, on the outcome of a game, a contest, or an uncertain event whose result may be determined by chance or accident or have an unexpected result by reason of the bettor’s miscalculation.
Given that there was a 5 probability of U.S. adults admitted to having spent money gambling online.
We have to find the probability of a U.S. adult selected randomly that he or she has never spent any money gambling online.
We will assume the probability of the outcome which is known as P(E) and the probability of the outcome which we need to know as , P(E) since both are the complement of each other. Then we will substitute the value of P(E) in the formula compliment of P(E)= 1-P(E) so as to obtain compliment of P(E)
Given that there was a 5 probability of U.S. adults admitted to having spent money gambling online, therefore
P(E) =5
P(E)= 5/100
=0.05
The probability of a U.S. adult selected randomly that he or she has never spent any money gambling online will be given as compliment of P(E) , such that
compliment of P(E)= 1-P(E)
=0.95
= 0.95/100
=95
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Select all of the statements that are true for the given parabola.
Answer:
A and B
Step-by-step explanation:
The minimum occurs at the turning point ( vertex )
The coordinates of the vertex are (1, - 2 ) → A
The x- intercepts are the points where the graph crosses the x- axis
This occurs at (3, 0 ) and (- 1, 0 ) → B
The axis of symmetry is a vertical line passing through the vertex
Equation of axis of symmetry is x = 1 , not y = - 2
(1, - 2 ) is a minimum not a maximum , see above
Can you help me with this
The graph of the line y = 4x + 3 is shown below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y = 4x + 3
When x = 0, y = 3
When x = 1, y = 4 + 3 = 7
When x = 2, y = 11
Similarly for negative x values, we get,
x = -1, y = -4 + 3 = -1
x = -2, y = -8 + 3 = -5
So on......
So we must get the following coordinates:
(-1, -1), (-2, -5), (0, 3), (1, 7), (2, 11),, ........
Thus,
The graph is shown below.
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Help me please yea more help
Answer:
96units
Step-by-step explanation:
Put these numbers in order from least to greatest.
-9 11/20,0.25,9/20,9 1/25, 9
Answer:
From Least to Greatest
-9, 1/25, 0.25, 9/20, 11/20, 9
Step-by-step explanation:
Answer:
-9, 0.25, 9/20, 11/20, 9, 9 1/25
Step-by-step explanation:
You can convert everything in decimals or into fractions with a common denominator. Using what you have, you then put them in order.
I converted them all into decimals, getting:
-9, 0.55, 0.25, 0.45, 9, 9.04
Then I put them in order
-9, 0.25, 9/20, 11/20, 9, 9 1/25
What is the example of quadrant 2?
The example of Quadrant 2 is (-1, 1)
The term quadrant in math is called as the coordinate plane is divided into four equal parts by the intersection of the x-axis such as the horizontal number line and the y-axis such as the vertical number line.
Here we have to give the example for quadrant 2.
In order to find the example, first we have to know the definition and properties of quadrant 2.
The quadrant 2 is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the value of y-axis has positive numbers.
Therefore, the resulting coordinate for Quadrant 2 is written as,
=> (-1, 1)
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Will give brainliest if right
O D. The points seem to be clustered around a line.
Answer:
D. The points seem to be clustered around a line.
Step-by-step explanation:
The scatterplot points are spread out and forming a line, not around a point.
There are two outliers.
Is 8 10 15 a right triangle?
NO, A triangle has sides of lengths 8,10, and 15 is not a right triangle.
A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle.
The formula states that in a right triangle:
The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.
(Hypotenuse)² = (Base)² + (Altitude)²
c²=a²+b²
The three numbers which satisfy the above formula are the Pythagorean triplets
Properties of right angle:
The largest angle is always 90º and called the hypotenuse which is always the side opposite to the right angle.
The measurements of the sides follow the Pythagoras rule, which cannot have any obtuse angle.
consider c=15 a=10, b=8 substitute in above formula:
15²=10²+8²
⇒225=100+64
⇒225[tex]\neq[/tex]164
Therefore, and 8,10,15 is not right triangle.
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Ill give brainliest - please help ASAP
WITH THE WORK THO PLEASE?
Answer:
5.
we have.
11x=½(16x+16+50)
22x=16x+66
22x-16x=66
6x=66
x=66/6
x=11
6.
118°=½(6x-11+181)
236=6x+170
6x=236-170
x=66/6
x=11°
7.
34°=½(arcAK-arc LN)
34×2=(110-arc LN)
arc LN =110-68
arc LN=42°
8.
<L=½(arc EN-arc KM)
<L=½(139°-73°)
<L=33
What is the solution of the equation 8x 3y 5 and 3x 2y 5 answer?
The solution of the equation is x = 1 and y = 0.
We can solve this equation using the substitution method.
First, subtract 5 from both sides of the equation to isolate the x and y terms:8x - 3y = 0
3x - 2y = 0
Next, divide both sides of the first equation by 8:
x = (3/8)y
Substitute this expression for x into the second equation:
3(3/8)y - 2y = 0
Simplify:
(-13/8)y = 0
Divide both sides by -13/8:
y = 0
Now, substitute y = 0 into the first equation:
8x - 3(0) = 0
Simplify:
8x = 0
Divide both sides by 8:
x = 0
Therefore, the solution of the equation is x = 1 and y = 0.
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Find the area of the right triangle below.
9m
4m
18 m²
Step-by-step explanation:The area is the size of a 2-dimensional shape.
Area of a Triangle
The formula for the area of a triangle is [tex]\frac{1}{2}bh[/tex], where b is the base and h is the height.
This formula comes from the fact that a triangle is half of a rectangle. Remember that the area of a rectangle is the base times the height, so a triangle would be half of this.
Solving for Area
The base of the triangle is 9 meters. Then, the height is 4 meters. So, we can plug these values into the formula.
[tex]A=\frac{1}{2}*4m*9m[/tex]So, A = 18. Then, since meters are being multiplied by each other, the units are meters squared. The final answer is 18 m².
Help please I'm so confused
Answer:
169.12
Step-by-step explanation:
I hope this is correct. First, you want to divide the semi-circle and the rectangle. To find the area of the rectangle, you do 16 x 9 to get 144. To find the area of the semi-circle, you do 3.14x16/2 to get 25.12. Then you want to add 144 and 25.12 to get 169.12. I hope this helps
A school is interested in the average GPA of the sophomore class. They sample 75 of the 500 sophomores, for a mean GPA of 3.26 with a standard deviation of 0.62. Calculate the margin of error to the nearest hundredth.
calculated margin of error = 0.376
What is margin of error?
It is a statistical term that implies the amount of permissible error within the survey data. This error indicates the difference between statistical result and actual result.
margin of error can be determined by multiplying the critical value to the standard deviation.
How to calculate the margin of error?given, mean GPA of 75 sophomores = 3.26 = Xi
standard deviation = 0.62 = s
sample number = 75 = n
total sophomores = 500
z value of the sophomores = mean / standard deviation = 3.26 / 0.62
Z value = 5.26
margin of error = Z value × standard deviation / (√number of sample)
margin of error = 5.26 × 0.62/ √ (75)
= 0.376
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Write an equation using the explicit formula to represent each graph or scenario then rewrite the formula in function form
On solving the provided question, we can say that - here in graph Between the lowest number, which is 0, and the highest value, which is 5, there is a range. The range is therefore -9=y=5.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
There is a range between the minimum value, which is 0, and the greatest value, which is 5. Thus, the range is -9=y=5.
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A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 dramas, and 2 mysteries. The store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store. What is the probability that she selected 2 comedies and 1 action movie? EXPLAIN how the probability would change if two more comedy movies were added to the list in place of the 2 mystery movies.
Answer:
Step-by-step explanation:
1. The Probability that she selected 2 comedies and 1 action movie = (36/455) or 0.07912
2. if two comedy movies were added to the list in place of the 2 mystery movie , the probability that she selected 2 comedies and 1 action movie = (18/91) or 0.1978
- I hope that makes sense, I hope its helpful, please let me know if it does.
Answer:
Then the probability of the comedies being chosen would go up because there would be more of them.
Step-by-step explanation:
Finding the zeros of each function of factoring: g(x)=2x^2 +x-10
Answer:
The zeros are -2.5 and 2.
Step-by-step explanation:
2x^2 +x-10 = 0
2x^2 - 4x + 5x - 10 = 0
2x(x - 2) + 5(x - 2) = 0
(2x + 5)(x - 2) = 0
2x + 5 = 0 gives x = -2.5.
x - 2 = 0 gives x = 2.
For every 4 children in the class who don’t have glasses 1 student does. If there are 20 students in the class, how many of them have glasses?
a. Solve the differential equation y'= 2x(1-y2)^(1/2) . b. Explain why the initial value problem y'= 2x(1-y2)^(1/2) with y(0) = 3 does not have a solution. (10 points)
That would just be 2x(1-y2)^(1/2)
Step-by-step explanation:
you dont need any steps because i told you the answer :/
Solve for x by factoring
Answer:
x = 5
Step-by-step explanation:
The area of the rectangle can be found by multiplying length x width:
Total Area = 55:
Length = x + 6
Width = x
Set the equation:
(x)(x + 6) = 55
First, distribute x to all terms within the parenthesis:
(x)(x + 6) = x² + 6x = 55
Next, set the equation equal to 0. Subtract 55 from both sides of the equation:
x² + 6x (-55) = 55 (-55)
x² + 6x - 55 = 0
Then, solve for x. Find factors of x² and -55 that, when combined, will result in 6x:
x² + 6x - 55 = 0
x 11
x -5
(x + 11)(x - 5) = 0
Then, solve each individual parenthesis:
(x + 11) = 0
x + 11 (-11) = 0 (-11)
x = -11
(x - 5) = 0
x - 5 (+5) = 0 (+5)
x = 5
Note, however, that a side cannot have a negative measurement. Therefore, x = 5 is your only answer.
~
Explain if the ordered pairs represent a function or not.
(1,2)(1,3)(2,4)(3,6)(0,0)(-1,4)
I have no clue about this.
Help!
Answer: 294 feet^2
Step-by-step explanation:
Find the volume of the cube.
Find the cube root of the volume.
Plug this answer into the formula for finding the surface area of a cube.
(area = 6 · s2)
Answer:
294cm[tex]^{2}[/tex]
Step-by-step explanation:
A cube has 6 faces
To find out the area of one face, you'd have to do 7x7 (7[tex]^{2}[/tex]).
To find out the total surface area of the cube, use this equation to help you:
AREA= 6(the amount of faces of the cube) × 7[tex]^{2}[/tex](the area of ONE face)
so in other words...
AREA=6×7[tex]^{2}[/tex]
AREA= 294cm[tex]^{2}[/tex]
hope this helped:)
A $99 skateboard is on sale for 10% off. How
much is it on sale for?
Answer:
89.10 trust me
Step-by-step explanation:
trust me bro
can someone help me with this math equation 3/8[-8+16-(-2.5)]
Answer:
9.9375
Step-by-step explanation:
3/8[-8+16-(-2.5)]
=3/8(-8+16+2.5)
=3/8(26.5)
=9.9375