What does the y-intercept on this graph represent? a.At 0 days, there are 400 pages remaining b. At 0 days, there are 16 pages remaining c. At 16 days, there are no pages remaining d. At 16 days, there are 400 pages remaining,
Answers
Explanation:
The y-intercept is the point where the line crosses the y-axis. This always happens when x = 0.
In this case x = 0 represents 0 days. The y-intercept is 400 pages remaining
Answer:
The answer is option a. At 0 days there are 400 pages remaining
Related Questions
Which of the following scenarios describes independent events from disjoint sets?1) A bag contains orange, yellow, and purple marbles. You randomly draw 2 marbles at the same time and want to know the probability that either marbleis orange.II) You roll a number cube and spin a spinner. You want to know the probability of rolling a 3 and spinning a B.ill) Lunch includes a choice of salad and a choice of vegetables. You want to know the probability of choosing a chef salad and asparagus as yourvegetableIV) A math class has 30 students. The teacher chooses 2 students at random. You want to know the probability that one of the two students will befemale
Answers
Independent events are not affected by previous events, that is, the probability of a new event doesn't change from the previous event. However, disjoint sets mean they don't have any data in common, which means the intersection of such sets is impossible. In other words, the events are exclusive, if one occurs, then the other can't occur.
Having said that, we can deduct that scenario 1 represents an independent exclusive event because the occurrence of one event excludes the other. The main reason is that there's just one orange marble.
Hence, the answer is I only.Use inverse matrix to solve the linear system. Solve #19
Answers
19)
The given system of equations is,
[tex]\begin{gathered} 4x-3y=11 \\ 5x-2y=12 \end{gathered}[/tex]The above system of equations can be written in matrix form as,
[tex]\begin{bmatrix}{4} & {-3} & {} \\ {5} & {-2} & {} \\ {} & {} & \end{bmatrix}\begin{bmatrix}{x} & {} & {} \\ {y} & & {} \\ {} & {} & \end{bmatrix}=\begin{bmatrix}{11} & {} & \\ {12} & {} & \\ {} & {} & \end{bmatrix}\text{ -----(1)}[/tex]Here,
[tex]A=\begin{bmatrix}{4} & {-3} & {} \\ {5} & {-2} & {} \\ {} & {} & \end{bmatrix},\text{ X=}\begin{bmatrix}{x} & {} & {} \\ {y} & & {} \\ {} & {} & \end{bmatrix}\text{ },\text{ B=}\begin{bmatrix}{11} & {} & \\ {12} & {} & \\ {} & {} & \end{bmatrix}[/tex]Therefore, equation (1) can be written as,
[tex]AX=B[/tex]Therefore,
[tex]X=A^{-1}B\text{ -------(2)}[/tex]Now, we need to calculate the inverse of A.
(Note:
Let a 2x2 matrix P is of the form given below.
[tex]P=\begin{bmatrix}{a} & {b} & {} \\ {c} & {d} & {} \\ {} & {} & {}\end{bmatrix}[/tex]The inverse of the matrix P is,
[tex]\begin{gathered} P^{-1}=\frac{1}{|P|}\begin{bmatrix}{d} & {-b} & {} \\ {-c} & {a} & {} \\ {} & {} & {}\end{bmatrix} \\ =\frac{1}{ad-bc}\begin{bmatrix}{d} & {-b} & {} \\ {-c} & {a} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}[/tex])
Similar to the inverse matrix of 2x2 matrix P, the inverse matrix of A can be written as,
[tex]\begin{gathered} A^{-1}=\frac{1}{4\times(-2)-(-3)\times5}\begin{bmatrix}{-2} & {3} & {} \\ {-5} & {4} & {} \\ {} & {} & {}\end{bmatrix} \\ =\frac{1}{-8+15}\begin{bmatrix}{-2} & {3} & {} \\ {-5} & {4} & {} \\ {} & {} & {}\end{bmatrix} \\ =\frac{1}{7}\begin{bmatrix}{-2} & {3} & {} \\ {-5} & {4} & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{\frac{-2}{7}} & {\frac{3}{7}} & {} \\ {\frac{-5}{7}} & {\frac{4}{7}} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}[/tex]Now, put the values in equation (2) to find the solution to the system of equations.
[tex]\begin{gathered} X=A^{-1^{}}B \\ \begin{bmatrix}{x} & {} & {} \\ {y} & & {} \\ {} & {} & \end{bmatrix}=\begin{bmatrix}{\frac{-2}{7}} & {\frac{3}{7}} & {} \\ {\frac{-5}{7}} & {\frac{4}{7}} & {} \\ {} & {} & {}\end{bmatrix}\begin{bmatrix}{11} & {} & \\ {12} & {} & \\ {} & {} & \end{bmatrix} \\ =\begin{bmatrix}{\frac{-2}{7}\times11+\frac{3}{7}\times12} & {} & {} \\ {\frac{-5}{7}\times11+\frac{4}{7}\times12} & & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{\frac{-22}{7}+\frac{36}{7}} & {} & {} \\ {\frac{-55}{7}+\frac{48}{7}} & & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{\frac{-22+36}{7}} & {} & {} \\ {\frac{-55+48}{7}} & & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{\frac{14}{7}} & {} & {} \\ {\frac{-7}{7}} & & {} \\ {} & {} & {}\end{bmatrix} \\ \begin{bmatrix}{x} & {} & {} \\ {y} & & {} \\ {} & {} & \end{bmatrix}=\begin{bmatrix}{2} & {} & {} \\ {-1} & & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}[/tex]Therefore, the solution to the system of equations using inverse matrix is x=2 and y=-1.
Does anyone know how to do this ???
Answers
Answer:
8) x = 6.5, 9) x = 7, 10) x = 13Step-by-step explanation:
We have similar figures given.
The ratio of corresponding sides of similar figures is same as per definition of similarity.
Use this property and solve each question.
Question 8HG/DC = FG/BCx/13 = 13/26x/13 = 1/2x = 13/2x = 6.5Question 9WY/SU = YX/UT4/(x + 5) = 3/94/(x + 5) = 1/3x + 5 = 4*3x + 5 = 12x = 7Question 10Considering x is positive, PS and MN are longer legs of right triangles.
PS/MN = ST/ML(x + 2)/10 = (x - 1)/810(x - 1) = 8(x + 2)10x - 10 = 8x + 1610x - 8x = 16 + 102x = 26x = 13Cecil started at the beginning again and walked 6 1/2 feet ,backed up 1 foot
Answers
Answer: 5 1/2 feet
Step-by-step explanation: 6 1/2ft - 1ft = 5 feet
Good Question! Jk
I really need help solving this, struggling with it this is a problem from my ACT prep guide It is trigonometry
Answers
Solution
For this case we can do the following:
[tex]\frac{\tan(-\frac{2\pi}{3})}{\sin(\frac{7\pi}{4})}-\sec (-\pi)=\frac{-\sqrt[]{3}}{\frac{\sqrt[]{2}}{2}}-(-1)=\frac{2\sqrt[]{3}}{\sqrt[]{2}}+1=-\sqrt[]{2}\cdot\sqrt[]{3}+1=-\sqrt[]{6}+1[/tex]How to multiply easily big Numbers
Answers
Answer:
Step-by-step explanation:
Multiplying large numbers together is performed by multiplying the ones digit of the bottom number to the entire top number. After the ones place value has finished multiplying, move to the tens place value in the bottom number and multiply that digit by the top number.
I hope it helps!
stigma notation stuff
Answers
A mixture of orange paint contains 8 tsp of red paint and 12 tsp of yellow paint. To make the same color of orange paint using 18 tsp of red paint, how much yellow paint would you need to use? Consider using the double number line to help
with your thinking.
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After doing some mathematical operations, we know that 27 tsp of yellow colors will be needed with 18 tsp of red paint.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. The rules that specify the order in which we should solve an expression involving many operations are known as the order of operations. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition Subtraction (from left to right).So, yellow paint is used in 18 tsp of orange paint:
So,
Tsp of orange: 8 tsp of red + 12 tsp of yellowMake new but the same orange paint: 18 tsp of red + x tsp of yellowNow, form and solve an equation as follows:
8/12 = 18/x12(18) = 8x8x = 216x = 216/8x = 27Therefore, after doing some mathematical operations, we know that 27 tsp of yellow colors will be needed with 18 tsp of red paint.
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Dada a função y= -3x²+5x+2
Answers
Answer:
y= -4x+2
Step-by-step explanation:
y= -3x²+5x+2
y= -9x+5x+2
y= -4x+2
Which equation is most likely used to determine the acceleration from a velocity vs. time graph?
a = t over delta v.
m = StartFraction v subscript 1 - v subscript 2 Over x subscript 2 minus x subscript 1 EndFraction.
a =
m = StartFraction x subscript 2 minus x subscript 1 Over v subscript 1 - v subscript 2 EndFraction.
Answers
An equation which is most likely used to determine the acceleration from a velocity vs. time graph is: B. m = (y₂ - y₁) / (x₂ - x₁).
What is a velocity vs. time graph?A velocity vs. time graph can be defined as a type of graph that is used to graphically represent the rate of change of velocity of an object with respect to time.
In Mathematics, the velocity of a physical object is plotted on the horizontal axis (y-coordinate) time is while plotted on the vertical axis (x-coordinate) of a velocity vs. time graph.
Mathematically, the acceleration of a physical object on a velocity vs. time graph can be calculated by determining the rate of change (slope) as modeled by this formula:
Acceleration, m = change in velocity/change in time
Acceleration, m = (y₂ - y₁) / (x₂ - x₁).
Where:
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Complete Question:
Which equation is most likely used to determine the acceleration from a velocity vs. time graph?
answer choices
A. a = t/delta v
B. m = (y₂ - y₁) / (x₂ - x₁)
C. a = delta v/t
D. m = (x₂ - x₁) / (y₂ - y₁)
Answer:
B. m = StartFraction v subscript 1 - v subscript 2 Over x subscript 2 minus x subscript 1 EndFraction.
Step-by-step explanation:
Got 100% on the test. Y'all have a good day! :D
A(6,2), B(2,4) and C(8,-4) are three points in a plane. P is a point on the line BC and Q is a point in the plane such that PAQB is a rectangle. Find the:
(i) equations of the sides AP and BP,
(ii) coordinates of the point P,
(iii) area of the rectangle.
Answers
(i) The equations of the sides AP and BP are y = 0.75x - 2.5 and y = (-4/3)x + (20/3), respectively.
(ii) The coordinates of the point P are (4.4, 0.8).
(iii) The area of the rectangle is 8 square units.
A (6, 2), B (2, 4) and C (8, -4) are three points in a plane. P is a point on the line BC, and Q is a point in the plane, such that PAQB is a rectangle.
The point P lies on the line BC. The equation of the line BC will be the same as that of BC. The equation of line BP is calculated below.
(y - y1) = [(y2 - y1)/(x2 - x1)]*(x - x1)
(y - 4) = [(-4 - 4)/(8 - 2)]*(x - 2)
y - 4 = (-8/6)*(x - 2)
y = (-4/3)x + (20/3)
The line AP must be perpendicular to the line BP because they are the sides of a rectangle. The equation for AP is calculated below.
y = mx + c
y = (3/4)x + c
It passes through (6, 2).
2 = (3/4)*6 + c
c = 2 - 4.5
c = -2.5
The equation of AP is y = 0.75x - 2.5.
The coordinates of P are calculated by finding the intersection point of the equations of AP and BP. The coordinates of P are (4.4, 0.8).
The length of the rectangle is BP. The width of the rectangle is AP. These are calculated below using the distance formula.
BP = √[(2 - 4.4)² + (4 - 0.8)²]
BP = √(5.76 + 10.24)
BP = 4
AP = √[(6 - 4.4)² + (2 - 0.8)²]
AP = √(2.56 + 1.44)
AP = 2
The area of the rectangle is calculated below.
A = BP*AP
A = 4×2
A = 8
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which table is a probability distribution table?
Answers
Answer:
Table 1 is the only table which represents PROBABILITY DISTRIBUTION table.
Step-by-step explanation:
100 Points + Brainliest if correct and well explained: The data in the table describes the preferred type of exercise of student athletes.
Cycling Running Row Totals
Male 0.22 0.32 0.54
Female 0.15 0.31 0.46
Column Totals 0.37 0.63 1.00
What is the conditional relative frequency that cycling is preferred by a female? Round your answer to two decimal places.
0.15
0.33
0.41
0.67
Answers
Answer:
0.33
Step-by-step explanation:
The specific number (females prefer cycling = 0.15) and the fitting total. There are 2 possibilities for that total :
all females
all people preferring cycling
the way it was phrased I would say the reference is all females.
the conditional relative frequency is then
0.15 / 0.46 = 0.326=0.33(rounded)
Hence the conditional relative frequency that a female prefers running is 0.33
At a local print shop, 20 copies can be made for $8. At this rate, how how many copies could be made for $34?
Fill out the table of equivalent ratios until you have found the value of x.
Copies Dollars
20 8
xx 34
It would cost $34 to make
copies.
Answers
Answer:4
Step-by-step explanation:
20 times 8 =$160 which is the total price for all copies
$160:34=4.7....$ but you can't make 0.7... of copy, so we don't count it. You can make 4 copies for $34
lf had his hourly salary increase from $9.25 per hour to $10.75 per hour, what's the percent increase in Jordan's salary
Answers
Answer:
16.22%
Explanation:
The percent of increase can be calculated as:
[tex]\frac{v_f-v_i}{v_i}\times100[/tex]Where vf is the final value and vi is the initial value. So, replacing vf by 10.75 and vi by 9.25, we get:
[tex]\frac{10.75-9.25}{9.25}\times100=\frac{1.5}{9.25}\times100=16.22\text{ \%}[/tex]Therefore, the percent of the increase is 16.22%
Mathew and his 3 siblings are weeding a flower bed with an area of 9 square yards. If they share the job equally, how many square yards of the flower bed will each child need to weed. write as a fraccion and whole number.
Answers
Data:
Mark and his 3 siblings: 4 persons
Area of the flower bed: 9 square yards
Job equally.
Divide the total area into the number of persons:
[tex]\frac{9^{}}{4}=2.25[/tex]Perform the indicated operations and write the result in
standard form.
6) 3√√-16 +2√√-64
A) -28i
C) -28
B) 281
D) 28
Answers
The standard form of the expression 3√-16 +2√-64 is 28i
The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.
We need to write the expression is 3√-16 +2√-64 in standard form
The value of √-1 is i
3√-16 + 2 √-64
3√-1 √16 + 2√-1 √64
3 i 4 + 2 i 8
12 i + 16 i
= 28 i
Therefore, the standard form. of the expression 3√-16 +2√-64 is 28i
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Round the number to the place of the underlined digit. 50.633 The rounded number is
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According to the rules of rounding to the nearest numbers, 50.633 rounded to the nearest whole number is equal to 51.
To round 50.633, we have to consider
The tenths’ value of the number 50.633 which is equal to 6 and it is also equal to or more than 5.
Therefore, we have to round up the part of 50.633
50, when increases by 1 results in 51
Here, the decimal point and all the following digits (.633) get removed.
Therefore, 50.633 rounded to the nearest number is equal to 51.
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What is the slope?
A) 2/1
B)1/2
C)-2/1
D)-1/2
Answers
Answer:
The slope is 1/2, so B is correct.
Answer:B is correct
Step-by-step explanation: it goes up 1=y and right 2=x and y/x
Factor completely.
48-24x + 3x²
Answers
Answer:
3(4−x)²
Step-by-step explanation:
Answer:
3(4-x)^2
Step-by-step explanation:
factor
A large glass holds 5/6 cup of water spouse you have 8 cups of water you want to fill both glasses how many of each size glass can you fill
PLEASEE HURRY
Answers
The number of large glasses that will be filled is 10 glasses.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Given that the large glass holds 5/6 cup of water and you have 8 cups of water. The number of glasses filled will be:
= 8 ÷ 5/6
= 8 × 6/5
= 48/5
= 9.6
= 10 glasses approximately
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u A store is having a sale where everything is 15% off. Which expression below does not represent the cost of an item in the store? Select all that apply85/100cc-0.15c15/100c0.85cc-0.85c
Answers
Given:
Percentage discount = 15%
Let's find the expression that does not represent the cost of an item in the store.
Let c represent the original cost of an item.
To find the c
[tex]undefined[/tex]The values of y vary directly with x, and y=425 when x=8.5 . What is the value of y when x=12 ?
Answers
The value of y when x=12 is 600
The values of y vary directly with x
y α x
y = kx
where k is the proportationality constant
The values of y=425 when x=8.5
y = kx
425 = k (8.5)
k = 50
We need to find the value of y when x=12
y = kx
y = 50 x 12
y = 600
Therefore, the value of y when x=12 is 600
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find the equation of this line.
Answers
Answer:
[tex]y=-\frac{1}{2} +1[/tex]
Step-by-step explanation:
We have to choose two points in the graph:
P₁ = (0, 1) → x₁ = 0 & y₁ = 1
P₂ = (2, 0) → x₂ = 2 & y₂ = 0
Now any of those point can be the P₀ I'll choose P₁ as P₀
P₀ = (0, 1) → x₀ = 0 & y₀ = 1
[tex]y - y_o=\frac{y_2-y_1}{x_2-x_1}(x-x_0)\\ \\y-1 = \frac{0-1}{2-0}(x-0)\\ \\y-1=\frac{-1}{2}(x) \\\\y-1=-\frac{1}{2}x\\ \\y=-\frac{1}{2}x+1[/tex]
what is the line segment addition to fall the distance of the given line segment
Answers
By looking at the number line we got:
AB =5
BC=5
CD=35
So:
AC = AB+BC = 5+5=10
AD =AB+AC+CD =5+5+35=45
BD = BC+CD = 5+35 =40
In the figure below, when the sund angle of elevation is 50 degrees, the tree casts a shadow 80 feet long. which can be used to find the height of the tree?
Answers
A
1) In this picture, we can see clearly a triangle with an adjacent leg to an angle of 50º and an opposite leg (that tree).
2) So the trigonometric ratio to be used is the one that relates both legs:
[tex]\begin{gathered} \tan (50)=\frac{opposite\text{ leg}}{\text{adjacent}} \\ \tan (50)\text{ =}\frac{x}{80} \end{gathered}[/tex]3) Hence, the answer is A
I’m so confused can someone help me solve this step by step?
Answers
Bases on the red line that represents the angle, we can see that:
[tex]\angle VRS\cong\angle RUT[/tex][tex]\angle SVR\cong\angle UTR[/tex]Therefore, they are similar by AA.
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 5.3
Step-by-step explanation:
[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]
As Evin is driving her car, she notices that after 1 hour her gas tank has 7.25 gallons left and after 4 hours of driving, it has 3.5 gallons of gas left in it. Assuming the relationship between h, hours, and g, gallons, is linear, write an equation for g in terms of h.
I will mark brainliest to the first person who answers.
Answers
The equation representing the gas left in h hours is g(h) = 8.5 - 1.25h
What is the concept of a linear equation?When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. An equation is an algebraic statement that demonstrates two mathematical expressions are equivalent in algebra, and this is how it is most usually used.
A linear equation is written as
y = mx + b
Where (x, y) is the ordered pair and m is the rate of change and b is the y-intercept.
Let x = time in hours
y = amount of gallons left
So, according to the question, 7.25 gallons of gas is left after 1 hour. So,
(x₁, y₁) = (1, 7.25)
3.5 gallons of gas left after 4 hours, so
(x₂, y₂) = (4, 3.5)
Find the slope
m = (y₂ - y₁) / (x₂ - x₁)
= (3.5 - 7.25)/ (4-1)
= -3.75/ 3
= -1.25
Put values of m = -1.25, (x, y) = (1, 7.25) in y= mx+b
So, 7.25 = -1.25 +b
b = 7.25 +1.25
b = 8.5
So, the linear equation for the situation in terms of g and h is
g(h) = -1.25h + 8.5
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Find the sum (3.2+4x)+(18.25+6x)
Answers
Answer:
10x+21.45
Step-by-step explanation:
3.2+4x+18.25+6x
we combine like terms
4x+6x+3.2+18.25
10x+21.45
hopes this helps please mark brainliest
First write the equation without parentheses:
3.2 + 4x + 18.25 + 6x
Then combine like terms:
4x + 6x = 10x,
18.25 + 3.2 = 21.45
Plug the results and rewrite the expression:
21.45 + 10x
Finally, 21.45 + 10x should be your answer.
I’m pretty sure since this is an expression (because there’s no equal sign) and not an equation, you don’t determine the actual value of x or the sum of the numbers. In order to do that, you would need to be provided with the value of x or a number with an equal sign that the problem would equal to, so that’s why it’s still written with a plus sign as an expression.
I hope this helps! Please correct me if I’m wrong! :)