Answer:
You can represent "the opposite of Shana's temperature is equal to Pearl's" as follows:
(-20 C) + (-x) = x
Where x represents Pearl's temperature.
Alternatively, you can also write it as:
20 C - x = x
Both of these equations are equivalent and mean the same thing: the opposite of Shana's temperature is equal to Pearl's temperature.
Step-by-step explanation:
20 degrees Celsius
The temperature in Pennsylvania is the opposite of the temperature in Canada, therefore -20⁰ Celsius in Canada would then be 20⁰ Celsius in Pennsylvania.
7. Kya picks up where she left off in her book and starts reading. After 2 hours, she's on page 195. After reading for 4 hours that day, she's on page 297. Write an equation to represent how many pages Kya reads per hour.
I did the equation= y=51x+93
There are a total of 399 pages in the book. How many more hours does Kya have left to read? PLEASE HELP WILL THIS PART I DONT UNDERSTAND
Answer:
Step-by-step explanation:
Work for finding the equation, feel free to skip it:
So first off, to write the equation, we will use an equation in slope intercept form: y = mx + b, where y is the numbers of pages she has read, m is the number of pages she reads per hour, x is the number of hours she read, and b is the number of pages she has already read.
To find the slope(The number of pages she reads per hour), we can subtract the number of pages she had read at 2 hours from the number of pages she had read at 4 hours:
297 - 195 = 102.
This tells us she read 102 pages over 2 hours. Thus, over 1 hour, she had read 102/2 = 51 hours. This is m. So our equation so far is y = 51x + b
To find b, we can take 195(the pages she had read after 2 hours), and subtract it by the pages she can read over 2 hours(51 * 2), giving us the amount of pages she had already read(b):
195 - (51*2) = 195 - 102 = 93.
So our equation is:
y = 51x + 93.
Work for finding how many hours it will take Kya to read the whole book:
Y is the total number of pages Kya has read when we plug in x hours. However, if we already know the total number of pages in a book, we can plug in that number for Y, and then solve for x to find how many hours it takes for Kya to read the book:
399 = 51x + 93
Subtracting 93 from both sides gets us:
51x = 306
=
x = 6
This means it takes 6 hours for Kya to read the whole book.
Since Kya has already been reading for 4 hours, the time she has left is:
6-4 = 2
So it takes Kya 2 more hours to finish reading the 399 pages in the book.
Hope this helps!
by using the distributive property and the greatest common factor what is 18+15
Answer:
33
Step-by-step explanation:
18 + 15 ← factor out 3 ( the GCF ) from each term
= 3(6 + 5)
= 3(11)
= 3 × 11
= 33
2-18. Frank wonders whether corresponding angles always have equal measure. For parts () through (d) below, use tracing paper to decide if corresponding angles have the same measure. Then determine if you have enough information to find the measures of x and y. If you do, find the angle measures and state the relationship .
The angles and their relationships are -
a) ∠x = 135° (corresponding angles), ∠y = 135° (vertical angles)
b) ∠y = 45° (liner pair angles), ∠x (not enough information provided)
c) ∠x = 135° (corresponding angles), ∠y = 45° (liner pair angles)
d) ∠x = 45° (liner pair angles), ∠y (not enough information provided)
What is angle pair relationship?
In Geometry, there are five fundamental angle pair relationships:
Complementary Angles
Supplementary Angles
Adjacent Angles
Linear Pair
Vertical Angles
a) In the first diagram -
∠x = ∠a as they are both corresponding angles to each other.
So, ∠x = 135°.
Similarly, ∠y = ∠x as they both are vertically opposite angles to each other.
So, ∠y = 135°.
b) In the second diagram -
∠y + ∠a =180° as they are both form a linear pair of angles.
So, ∠y = 180° - ∠a
∠y = 180° - 135°
∠y = 45°.
Now, ∠x cannot be deduced and no proper information is given in the image.
c) In the third diagram -
∠x = ∠a as they are both corresponding angles to each other.
So, ∠x = 135°.
Now, ∠y + ∠x =180° as they are both form a linear pair of angles.
So, ∠y = 180° - ∠x
∠y = 180° - 135°
∠y = 45°.
d) In the fourth diagram -
∠x + ∠a =180° as they are both form a linear pair of angles.
So, ∠x = 180° - ∠a
∠x = 180° - 135°
∠x = 45°.
Now, ∠x cannot be deduced and no proper information is given in the image.
Therefore, all the angles are and their relationships are found.
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A line that includes the points (k,
–
4) and (5,
–
2) has a slope of
–
1. What is the value of k?
The required value of k is 7 for a line that includes the points (k,–4) and (5,–2).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
As per the question, the slope of the line is -1, and the given points are (k, -4) and (5, -2).
So we can substitute these values into the formula:
-1 = (-2 - (-4)) / (5 - k)
-1 = 2 / (5 - k)
-1 × (5 - k) = 2
-5 + k = 2
k = 2 + 5
k = 7
Therefore, the value of k is 7.
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2. Max has two part-time jobs. He makes $12 per hour mowing lawns and $15 per hour tutoring students. Over the weekend he worked for a total of 14 hours and made a total of $192. How many hours did he work for each job?
Max mowed the lawns for 6 hours and tutored students for 8 hours.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is that Max has two part-time jobs. He makes $12 per hour mowing lawns and $15 per hour tutoring students. Over the weekend he worked for a total of 14 hours and made a total of $192.
We can write the system of equations as -
x + y = 14
12x + 15y = 192
Refer to the graph attached. On solving the equation graphically, we get-
x = 6, y = 8
Therefore, Max mowed the lawns for 6 hours and tutored students for 8 hours.
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Please help asap Due tonight in a couple hours
ES = ___ units
Round your answer to the nearest tenth.
Answer:
10.6 units
Step-by-step explanation:
I don’t know help m/12-8=4
Answer:
[tex] \frac{m}{12} - 8 = 4 \\ \frac{m}{12} = 4 + 8 \\ m = 12×12 \\ m = 144[/tex]
Hope it will help u...
Explain a few ways that placing figures in a coordinate plane can be helpful for solving different problems.
Use the coordinate plane to graph points, lines, and geometric forms in the different quadrants, and then use the absolute value to determine the distances between them.
What does ordinate math entail?
An exact position of a point in the coordinate plane can be demonstrated using a collection of values called coordinates. Meaning of a Coordinate Plane. The intersection of the x-axis and y-axis, two perpendicular lines that form a 2D plane known as a coordinate plane.
Which three coordinate systems are there?
Cartesian, cylindrical, and spherical are the three most often used coordinate systems. We'll discuss a cylinder-based coordinate system as well as a cartesian-based one in this chapter.
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For each condition, make up a different equation for a quadratic function that meets the condition. Use whatever form is most conventions.
1. Has vertex at (-2,-5)
2. Has a y-intercept at (0,6)
3. Goes through the points (4,2) and (1,2)
y=−12(x+4)(x−1) A quadratic function that satisfies the requirement and passes through the points (4, 2) and has the equation +2 (1,2) .
what is equation ?A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. The terms 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14, for example. Mathematical equations are used to express the relationship between two phrases on either side of a letter. In most cases, the symbol serves as the sole variable. a good example is 2x - 4 = 2.
given
a )a vertex at (−2,−5) :
y=[tex](x+2)^{2}[/tex]−5
y=−[tex](x+2)^{2}[/tex]−5
y=3[tex](x+2)^{2}[/tex]−5
b) a y-intercept of (0,−6) :
y=[tex]x^{2}[/tex]−6
y=[tex]x^{2}[/tex]+13x−6
y=2[tex]x^{2}[/tex]−6
c) the points (−4,2) and (1,2):
y=(x+4)(x−1)+2
y=2(x+4)(x−1)+2
y=−12(x+4)(x−1)+2
y=−12(x+4)(x−1) A quadratic function that satisfies the requirement and passes through the points (4, 2) and has the equation +2 (1,2).
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Write a rule to describe each transformation.
J(2, 2), (3, 4), H(4,3), G(3,0)
to
J'(-1,2), I'(0, 4), H'(1, 3), G'(0, 0)
The only difference is a -2 in x in 1 transformation in 2 transformation. The function is shifted up by b units with f (x) + b.
what are transformations ?Transformations can be divided into four categories: translation, reflection, rotation, and dilation. Rotate, reflect, or translate the geometric figures on a coordinate plane. The label given to a function, f, that maps to itself is the transformation, or f: X X. The pre-image X is transformed into the picture X after the transformation. It is possible to utilize any operation, or a combination of operations, in this transformation, including translation, rotation, reflection, and dilation.
given
J(2, 2), (3, 4), H(4,3), G(3,0) to J'(-1,2), I'(0, 4), H'(1, 3), G'(0, 0)
in 2 transformation as the only change is that -2 in x in 1 transformation
The function is shifted up by b units with f (x) + b.
The function is shifted downward by b units when f (x) b.
The function is moved left by b units when f (x + b) is used.
The function is moved right b units by the expression f (x b).
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A license plate consists of 3 letters followed by 1 digit. How many license plates are possible if the first letter can be any letter except I or O, the digit cannot be 0, and no letters or digits may repeat
Answer:
85
Step-by-step explanation:
So you know that there are 26 letters in the alphabet and 3 letters in the license plate, so that would be 26 multiplied by 3 to cover all of those letters. The first letter can't be I or O, so you subtract 2 from the product. 26 times 3 is 78, minus 2 is 76. There are 10 single digits, but only one in the plate and it can't be 0. This leaves 9 digits so you add that to the total number.
76 + 9 = 85
I hope this helps! :)
Sorry for my previous answer, I misread the question, but this is the correct answer now, hope this helped!
Answer:
129600 license plates
Step-by-step explanation:
This time, we will use an option of solving where we take the number of possibilities for one letter, then multiply it by the next, then multiply it by the next, then multiply it by the number of possibilities for the number. We would have 24 letters to start (not including I or O), then after we pick one, we need to remove it since we can't repeat letters. So just for our letters, we would get:
24 * 25(only the first digit can't have I or O) * 24
Then, we need to multiply that by 9 (since we are not including 0), giving us:
24 * 25 * 25 * 9 = 129600
Meaning, we can have 129600 different license plates.
Hope this helped!
HELP I DONT UNDERSTAND
The of the function a remainderre 3, 2,1,0
What is substitution?You should understand that substitution means replacing figures in a variable to get a value
the given function is
y=-x/3 +2
The given parameter or table to be completed is
x -6 -3 0 3 6
y 4 3 2 1 0
The table above was completed in the following ways
1) y= 6/3 +2 = 2+2 4
2) y = 3/3 + 2 = 1+2 = 3
3) 0/2 + 2 = 2
4) -3/3 +2 = -1+2 = 1
5) y = -6/3+2 = -2+2 = 0
Therefore the table has values descending from 4 to 0
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What is the volume of this rectangular prism?
Answer:
40
Step-by-step explanation:
5 x 4 x 2 = 40
length x width x height = volume
Which pairs of events are independent? Select all that apply.
Answer:the last one is right, because you cannot control when rain happens, or where at that matter.
I GIVE THANKS AND MARK BRAINLIEST
WHAT ARE THE CORRECT ANSWER(S)?
Answer:
b and d
Step-by-step explanation:
slope is -0.632 which is quite literally what d is saying, (on terms of graphs) for every 1 square over it goes -0.63 squares down
3. Geese and Pigs: A farmer raises only geese and pigs. She wants to raise no more than
16 animals total including no more than 10 geese. She spends $5 to raise a goose and $15 to raise a pig, and has $180 available for this project. Find the maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20.
The maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20.
How can you determine the table's maximum profit?Making the Most of Total Revenue and Total Cost Data. Just multiply the price by the quantity at each quantity to find the company's total revenue. Next, deduct the company's total cost at each quantity, which is provided in the table.
Let the number of geese be x and the number of pigs be y
From the given information, we can form the following inequalities:
x ≤ 10
y ≥ 05
x + 15y ≤ 180
Maximize 6x + 20y.
We want to find the intersection points of the first three equations since x and y are bounded within the area under these
These points are (0,0), ( 10,0), (0,12), (10,65/3).
At (0,0) , the profit is $0
At ( 10,0), the profit is $60
At (0,12) , the profit is $240
At (10,65/3) , the profit is $499.33
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Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale
the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale is 4√5
What is altitude Class 9?
The altitude of a triangle is the perpendicular line segment drawn from the vertex to the opposite side of the triangle.
In geometry, a line segment is bounded by two distinct points on a line. Or we can say a line segment is part of the line that connects two points. A line has no endpoints and extends infinitely in both the direction but a line segment has two fixed or definite endpoints.
Let's call it x
According to Euclidean theorem x^2 = 5×16
x^2= 80 and
x = 4√5
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What does exponential growth look like on a logarithmic graph?
Exponential growth on a logarithmic graph looks like a straight line. On a regular graph, the line would appear to be curved, but when plotted on a logarithmic graph, the line appears to be a straight line.
Exponential growth on a logarithmic graph appears as a straight line. This is because the logarithmic scale is a compressed scale, meaning that it takes a large range of values and compresses them into a smaller range. This makes the data easier to read and understand. The straight line occurs because the logarithmic scale is designed to fit the data points more closely, making the line appear linear. This is in contrast to the regular scale, where the line appears curved due to the large range of values being plotted. Thus, exponential growth appears as a straight line on a logarithmic graph.
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Find the value of x.
Answer:
x = 32
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
All the indicated angles in the diagram are exterior angles of the polygon.
sum the 5 exterior angles and equate to 360
2x + 71 + 85 + 44 + 3x = 360
5x + 200 = 360 ( subtract 200 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
help ! what's the value of x -
[tex] {x}^{4} + 4 = 100 \div 5[/tex]
Answer:
2
Step-by-step explanation:
100/5 = 20
x⁴ + 4 = 20
x⁴ = 20 - 4
x⁴ = 16
= 2 × 2 × 2 × 2
x⁴ = 2⁴
x = 2
Hence, the value of x is 2.
Annie and Bonnie are running laps around a 400-meter oval track. They started together, but Annie has pulled ahead, because she runs 25% faster than Bonnie. How many laps will Annie have run when she first passes Bonnie
Bonnie will complete four laps before being passed by Annie because she runs an additional quarter lap for every lap she completes. This indicates that Annie and Bonnie are on an equal footing, and Annie must complete an additional lap to pass Bonnie. Annie will have completed five laps after that.
What unitary method examples are there?We can use the unitary method to calculate 100% of an amount. For instance, if 10% of the marbles in a pot are 35, then the total number of marbles in the pot will be 35 x 10%, or 350.
What circumstances allow us to use the unitary method in our daily lives?The unitary method can be used to calculate how many kilometres a car will travel on one litre of gas if it travels 44 km on two litres of fuel. In other words, the unitary method is the process by which we determine the value of a single unit and then use that information to determine the values of multiple units.
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What is the equation of the line in slope-intercept form that has a slope of 6 and a y-intercept of 1/2
- I have struggled with this for an hour
-I have been taking tutoring and still need help -it's just not clicking
Aida, Bernado and Cristiano need $30000 to start a business. a I They borrow & of this amount.
Show that they still need $18000.
They provide the $18000 themselves in the ratio
Aida: Bernado : Christiano = 5: 4: 3.
Calculate the amount each of them provides.
b i Office equipment costs 35% of the $30000.
Calculate the cost of the equipment. ii Office expenses cost another $6500.
Write this as a fraction of $30 000.
Give your answer in its lowest terms. iii How much remains of the $30000 now?
c They invest $12500.
After one year this has increased to $15500.
Calculate this percentage increase.
Answer:
aida:$7500
Bernardo:$6000
Christiano :$4500
b.i $10500
b.ii 13/60
b.iii $13000
c. 24%
I NEED HELP!!
1ST QUESTION
a). 5 divided by 3/10
b.) 5 divided by 9/10
Answer:
a) 5 divided by 3/10
To solve this problem, we need to perform the division first, followed by the division. Dividing 5 by 3/10, we have:
5 / (3/10) = (5*10)/3 = 50/3
Simplifying, we have:
50/3 = 16 2/3
Therefore, the result of 5 divided by 3/10 is 16 2/3.
b) 5 divided by 9/10
To solve this problem, we need to perform the division first, followed by the division. Dividing 5 by 9/10, we have:
5 / (9/10) = (5*10)/9 = 50/9
Simplifying, we have:
50/9 = 5 5/9
Therefore, the result of 5 divided by 9/10 is 5 5/9.
Step-by-step explanation:
Answer:
a).5 divided by 3/10
= 16.6666666667
And,
b).5 divided by 9/10
=4.5
Please help ASAP. Which of the following are solutions of the system of linear inequalities? y > 4x+1 y≥x+4.
Using graphical method, the solution to the system of linear inequality (x, y) are (1, 5)
What is System of Linear InequalityA mathematical statement called a linear inequality depicts the relationship between two different variables, typically on a graph. A line or border that divides the area of all the points that fulfill the inequality from the areas of the points that do not constitutes the graph of a linear inequality. A set of lines in the coordinate plane that represent the equations of a system of linear inequalities is called a graph. The region of the coordinate plane where each of the inequalities holds can be seen by joining these lines to create a graph.
The inequality given are;
y > 4x + 1y ≥ x + 4This can be solved using a graphing calculator;
The point of intersection shows the solution to the graph
The solution to the linear inequalities (x, y) are (1, 5)
The broken lines in the graph is from the greater than inequality, while then straight unbroken lines is the inequality with greater than or equal to sign.
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consider the relation below
1.Is the relation A function
2. Is the relation a one to one function
3. Is the inverse of the relation below itself a function
Answers:
Yes it's a function.No, the function is not one-to-one.No, the inverse isn't a function.=============================================
Explanation:
We have a function since the curve passes the vertical line test. Recall that this test is where we try to draw a single vertical line through more than on point on the curve. Such a task isn't possible in this case.
-----------
On the other hand, the curve does not pass the horizontal line test. It is possible to draw a single horizontal line through more than one point on the curve.
This function is not one-to-one since it does not pass the horizontal line test.
------------
Because the graph isn't one-to-one, the inverse won't be a function. The process of finding the inverse involves swapping x and y; which means we swap from "horizontal line test" to "vertical line test".
The original function failing the horizontal line test would mean the inverse fails the vertical line test.
plsss help
For the given polynomial, determine which of the binomials listed are factors. Pick two.
f(x) = 2x3 + 9x2 + 13x + 6
A.x + 1
B.x – 1
C.x + 2
D.x – 2
E.x + 3
F.x – 3
The factors for the Polynomial are (x+1) and (x+2).
What is Factor Theorem?According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0.
Given:
f(x) = 2x³ + 9x² + 13x + 6
Now, first (x+1) =0
x= -1
put x= -1 in f(x) as
f(-1) = 2(-1) + 9(1) + 13(-1) + 6
= -2 + 9 - 13 + 6
= 0
So, (x+1) is factor of f(x).
Now, second (x-1)= 0
x= 1
put x= 1 in f(x) as
f(1) = 2(1) + 9(1) + 13(1) + 6
= 2 + 9 + 13 + 6
= 31
So, (x-1) is not a factor of f(x).
Now, second (x+2)= 0
x= -2
put x= -2 in f(x) as
f(1) = 2(-2)³ + 9(-2)² + 13(-2) + 6
= -16 + 36 - 26 + 6
= 0
So, (x+2) is factor of f(x).
Now, second (x-2)= 0
x= 2
put x= 2 in f(x) as
f(1) = 2(2)³ + 9(2)² + 13(2) + 6
= 16 + 36 + 26 + 6
= 84
So, (x-2) is not a factor of f(x).
Now, second (x+3)= 0
x= -3
put x= -3 in f(x) as
f(1) = 2(-3)³ + 9(-3)² + 13(-3) + 6
= -54 + 81 - 39 + 6
= -6
So, (x+3) is not a factor of f(x).
Now, second (x-3)= 0
x= 3
put x= 3 in f(x) as
f(1) = 2(3)³ + 9(3)² + 13(3) + 6
= 54 + 81 + 39 + 6
= 180
So, (x-3) is not a factor of f(x).
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A frictionless pendulum is pulled 3 feet to one side of its center resting point…
A. The amplitude of the sinusoidal function 's' would increase.
B. The midline of the sinusoidal curve will upshift.
What is a periodic function?A function that repeats its values at regular intervals is said to be periodic. For instance, periodic functions include trigonometric functions, which repeat every 2 pi radian. In science, periodic functions are used to describe oscillations, waves, and other periodic events. Aperiodic refers to any nonperiodic function.
We are aware that a periodic function can be used to graph the pendulum's movement mechanism.
A. The pendulum will rise higher on both sides as it is drawn farther away from its resting point; this will result in an increase in the sinusoidal curve's amplitude.
B. The midline of the sinusoidal curve would rise up along the y direction as a result of an increase in magnitude if the pendulum was drawn further away from its resting point.
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write an expression to describe a rule for the sequence. then find the 100th term in the sequence 5 13 21
The expression is 8n – 3; The 100th term is 797
How to calculate the 100th term in sequence?The nth term of an arithmetic sequence is given by:
an=a1+(100-1)d ....[1]
where
a1 is the first term
d is the common difference of two consecutive terms.
n is the number of terms.
Given the sequence:
5, 13, 21, 29, 37, 45, …
This is an arithmetic sequence with first term = 5 and common difference(d) = 8
Since;
13-5 = 8,
21-13 = 8,
29-21 = 8 and so on....
We have to find the 100th term in the sequence
Substitute in [1] we have;
an=a1+(100-1)d
an=5+(n-1)8=5+8n-8 = 8n-3
Substitute the given values and n=100 we have;
a100= 800 - 3 = 797
Therefore, the 100th term in the sequence is, 797 and an expression to describe a rule for the sequence is, 8n – 3;
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6. If sin θ = - 3/5and the terminal side of θ lies in quadrant III, find cosθ .
When sin θ = - 3/5 and the terminal side of θ lies in quadrant III, then cos θ is -4/5
What is terminal side of an angel?The terminal side of an angle refers to the line that intersects the initial line to make an angle
In the problem the terminal side is said to be in the third quadrant and the in the third quadrant sin θ = - 3/5
sin θ = opposite / hypotenuse
using Pythagoras the adjacent is 4, in third quadrant we have -4
cos θ = - adjacent / hypotenuse = -4/5.
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