The value of the equation for which the graph intersect the y-axis is -9/4.
The given equation is 82 +4y = 64
We need to calculate the coordinate where the graph intersect the y-axis.
So, 82 +4y = 64
Subtracting 82 from both sides, we have
82 +4y - 82 = 64 - 82
4y = -18
Now, Dividing the equation by 4, we get :
y = -18/4
So, y = -9/4
Hence, the value of the equation for which the graph intersect the y-axis is -9/4.
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PLEASE ANSWER THIS ASAP
Answer:9a-2
Step-by-step explanation: see photo
help is needed DESPERATLY
Answer:
A) 3
Step-by-step explanation:
We have
\(S = x<4 = (-\infty, 4)\)
Once
\(6, 5, 4.5 \notin S\)
but
\(3\in S\)
The answer is 3.
Answer:
A) 3
Step-by-step explanation:
<----|----|----|----|----|----|----|----|----|----|----
-3 -2 -1 0 1 2 3 4
Hope this helps
Without solving, tell what is true of the product of 3 and 2/3 =?
Answer:
3 is a whole number while 2/3 is less than 3
Step-by-step explanation:
4x - 5y = 20 , what are the steps for solving for y?
Answer:
Check explanation below!
Step-by-step explanation:
» Solving
Step 1: Subtract 4x from both sides.
\(4x-5y-4x=20-4x\) \(-5y=-4x+20\)Step 2: Divide both sides by -5.
\(\frac{-5y}{-5} = \frac{-4x+20}{-5}\) \(y=\frac{4}{5}x-4\)I am a parallelogram. Two of my sides are parallel to the bottom of the paper. The endpoints of the bottom side are at (2, 5) and (9, 5). The slope of the line segments that form my two sides is 0.75, and the length of each side is 5 units. What are my other two vertices?
According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).
How to find the vertices of the parallelogram?To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,
m = slope(x1, y1) = point on the lineFor the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = 0.75(x - 2)Simplifying, we get:
y = 0.75x + 3.5To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:
y = 0.75(7) + 3.5 = 8Therefore, the vertex at the top right of the parallelogram is (7, 8).
For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = -0.75(x - 9)Simplifying, we get:
y = -0.75x + 11.25To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:
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Give the domain and range of the relation then determine if the relation is a function (-3,3), (1, 1), (0, -2), (1, -4), (5, -1)
Domain:_____
Range:_____
Function?_____
PLEASE HURRY
progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
Which of the following radical expressions has an absolute value symbol in its simplified form?
√81x
O √64x³
O 16x
O V-125x³
Answer:
\( \sqrt[4]{16x {}^{4} } \)
what does 5/8 equal to
Answer:
if you are asking for decimal its, 0.625.
otherwise 5/8 is also equal to 10/16, 15/24, etc
Step-by-step explanation:
the respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes
The standard deviation of the response time is 1.53 minutes.
What is the standard deviation of the response time?To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.
Z-score = z = (x - μ) / σ
For the lower bound of 10 minutes:
z = (10 - 13) / σ
For the upper bound of 16 minutes:
z = (16 - 13) / σ
As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.
Using z-scores, we set up equations:
(10 - 13) / σ = -1.96
(16 - 13) / σ = 1.96
Solving the first equation:
-3 / σ = -1.96
σ = -3 / -1.96
Solving the second equation:
3 / σ = 1.96
σ = 3 / 1.96
Dividing both sides by 1.96:
-3 / 1.96 = σ
1.53 = σ
Full question:
The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.
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Write the data from greatest to least: 0.8, 0.79, 0.08, 0.81, 0.09, 0.9, 0.89
Answer:
0.9, 0.89, 0.81, 0.8, 0.79, 0.09, 0.08
Step-by-step explanation:
Answer: 0.09 , 0.89 , 0.81, 0.08, 0.79 , 0.9, 0.8
Step-by-step explanation:
First find the greatest
0.09, 0.89,0.81, 0.08, 0,79
Then the least
0.9 .0.8
Now put it all together
0.09, 0.89. 0.81 , 0.08, 0.79 , 0.9, and lastly 0.8
what is the volume measured in cubic centimeters of box below?
The volume is:
\(28cm^3\)Explanation:The volume of a cuboid is given by the formula:
\(v=lwh\)Where l is the length, w is the width and h is the height
Using the given parameters, l = 7 cm, w = 4 cm, h = 1 cm
\(v=7\times4\times1=28cm^3\)Mr. Rodriguez is assembling supply kits for his students. He has 24 pencils and 32 erasers. All the kits must have the same number of each item, and all items must be used.
Check your work on Zearn.
1. What is the largest number of kits Mr. Rodriguez can make?
The largest number of kits Mr. Rodriguez can make is
kits.
2. How many pencils and erasers will be in each kit?
pencils and
erasers will be in each kit.
Answer:
1) 8
2) 3pencils 4erasers
Step-by-step explanation:
Select the choice that represents the two-variable
equation after it has been solved for x in terms of y.
2y - 3x = 0
The two variable equations when solved for x in terms of y is given as the equation y = 3x/2, and option A is the correct answer.
What are equations?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.
The given equation is:
2y - 3x = 0
Add 3x on both sides of the equation:
2y -3x + 3x = 3x
2y = 3x
Divide both sides of the equation with 2:
2y / 2 = 3x / 2
y = 3x/2
Hence, the two variable equations when solved for x in terms of y is given as y = 3x/2, and option A is the correct answer.
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The correct question is:
Austin's paycheck showed a regular weekly salary of $385.50, a deduction of $16.35, a commission of $28.75, and $37.35 for overtime. Which equation correctly finds Austin's final pay?
-$385.50 + $16.35 + (-$28.75) + (-$37.35) = - $435.25
$385.50 + $16.35 + (-$28.75) + (-$37.35) = $355.75
$385.50 + (-$16.35) + $28.75 + $37.35 = $435.25
$385.50 + (-$16.35) + $28.75 + $37.35 = -$467.95
Answer:
Answer option c is correct.
Step-by-step explanation:
385.50 is adding to the amount because it his paycheck. 16.35 is subtracted because it is bing deducted. Then there is the adding amount of 28.75 and 37.35 because of his commission and overtime. When you add it all up, you get 435.25. This whole thing would look like this in equation format:
385.50 +(-16.35) + 28.75 + 37.35 = 435.25.
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 7x^2 – 567
lesser x =
greater x =
Answer:
Lesser x = -9
Greater x = 9
Step-by-step explanation:
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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solve by using elimination. 12x + 36y = −3
−12x − 36y = 0
The given system of equations has no solution.
Given that a system of equations, 12x + 36y = −3 and −12x − 36y = 0, we need to solve it,
We know for a system of equations =
a₁x + b₁y = c₁ and a₂x + b₂y = c₂
If a₁ / a₂ = b₁ / b₂ = c₁ / c₂ then the system has infinite solutions.
If a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂ then the system has no solutions.
If a₁ / a₂ ≠ b₁ / b₂ then the system has a unique solution.
comparing the coefficients given,
-12/12 = -1
-36/36 = -1
-3/0 = -3
We get here the condition of a₁ / a₂ ≠ b₁ / b₂, which means that the system has no solution.
Hence the given system of equations has no solution.
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Find the distance between these two pairs in the coordinate grid: (1, 3) (8, 5)
Given the points ( 1 , 3 ) and ( 8 , 5 )
The distance between them = d
\(d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)\(d=\sqrt[]{(8-1)^2+(5-3)^2}=\sqrt[]{7^2+2^2}=\sqrt[]{49+4}=\sqrt[]{53}\)a ship travels 44 km from the point p on a bearing of 42 degree and then travels a further 60 km on a bearing of 90 degree at point A . using a scale of 1 cm to represent 10 .
a) draw accurately the path of the ship form P to A.Label the point A
A second port Q is on a bearing of 80 degree from port P and on a bearing of 110 degree from point A
b) on the same diagram, locate the position of Q.Label the port Q
c) Write down the distance, in km, of port Q from P.
A researcher was interested in the impact of listening to different types of music on learning. She designed an extensive maze for rats and after she taught rats how to get through the maze, she randomly assigned each rat to run the maze while (a) listening to classical music, (b) listening to heavy metal music, or (c) in a quiet room (i.e., no music). The researcher measured the amount of time it took each rat to get through the maze and the number of errors made.
a. Independent Variable ? _________________ What are the levels? ________________________________
b. Dependent Variable ? _____________________________
c. What might be an extraneous variable?: ___________________________________
d. Control group? _________________ Experimental Group(s)?____________________
a.) The independent variable is the different types of music
b.) The dependent variable is the impact of listening felt by the rats
c.)An extraneous variable is the length of the maze.
d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
What is an independent and dependent variables?An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.
A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.
For question a.)
The independent variable is the different types of music
For question b.)
The dependent variable is the impact of listening felt by the rats
For question c.)
An extraneous variable is the length of the maze.
For question d.)
The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
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I need help with this problem plsss
thanks! :)
Answer:
9.5
Step-by-step explanation:
\(1. \ \frac{AB}{PQ} =\frac{BM}{QN} ; = >\)
\(2. \ \ \frac{11}{4.4} =\frac{BM}{3.8} ; \ = > \ BM=\frac{11*3.8}{4.4} =9.5.\)
∠A and ∠B are complemntry angles. If m∠A = (3x+18) and m∠B = (2x+17) then find the measure of ∠A
Work Shown:
Complementary angles add to 90 degrees.
A+B = 90
(3x+18)+(2x+17) = 90
5x+35 = 90
5x = 90-35
5x = 55
x = 55/5
x = 11
Then we can determine each angle:
angle A = 3x+18 = 3*11+18 = 33+18 = 51 degrees is the final answerangle B = 2x+17 = 2*11+17 = 22+17 = 39 degreesAs a check: A+B = 51+39 = 90 to confirm the answer.
if mn is a midsegment to abc find the values of x and y. this is the only time im gonna use this so here's 50 points
How do you write 7.28 x 104 in standard form?
Use the menu provided to answer the following question. If a student purchased 1 can of juice, 2 slices of pizza, 1 bag of peanuts, and two chocolate bars using a $20.00 bill, what was her change?
Answer:
$8.25
Step-by-step explanation:
1.25+(2.25x2)+1.00+(1.25x2)=8.25
Find the simple interest: Principal: $3020 Interest Rate: 5% Time: 6 months
Answer:
A = $3094.58
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Simple Interest Rate Formula: A = P(1 + r)ⁿ
A is the final amountP is the principal amountr is the raten is the time (in years)Step-by-step explanation:
Step 1: Define variables
A = ?
P = 3020
r = 0.05
t = 6 months = 0.5 years
Step 2: Solve for A
Substitute: A = 3020(1 + 0.05)^0.5Add: A = 3020(1.05)^0.5Evaluate: A = 3020(1.0247)Multiply: A = 3094.58And we have our final answer!
Problem 3. (4 points) The population of deer in a forest can be modeled by P(x) = (1450x +3870) ÷ (5x+9) where x is the number of years in the future. Answer the following questions.
1) How many deer live in this forest this year?
2) How many deer will live in this forest 25 years later? Round your answer to an integer.
3) After how many years, the deer population will be 301? Round your answer to an integer.
4) Use a calculator to answer this question: Many years in the future, about how many deer will live in this forest?
After about 21 years, the deer population will be 301. many years in the future, about 290 deer will live in the forest.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To find the number of deer living in the forest this year, we need to substitute x = 0 in the given equation:
P(0) = (1450(0) + 3870) ÷ (5(0) + 9)
P(0) = 3870 ÷ 9
P(0) = 430
Therefore, there are 430 deer in the forest this year.
To find the number of deer that will live in the forest 25 years later, we need to substitute x = 25 in the given equation:
P(25) = (1450(25) + 3870) ÷ (5(25) + 9)
P(25) = 54250 ÷ 134
P(25) ≈ 405
Therefore, there will be about 405 deer in the forest 25 years later.
To find after how many years the deer population will be 301, we need to solve the equation for x:
P(x) = 301
(1450x + 3870) ÷ (5x+9) = 301
1450x + 3870 = 301(5x+9)
1450x + 3870 = 1505x + 2709
55x = 1161
x ≈ 21.11
Therefore, after about 21 years, the deer population will be 301.
To find how many deer will live in the forest many years in the future, we can simply take the limit of the given equation as x approaches infinity:
lim(x→∞) P(x) = lim(x→∞) (1450x + 3870) ÷ (5x+9)
Using L'Hôpital's rule, we can take the derivative of the numerator and denominator separately:
lim(x→∞) P(x) = lim(x→∞) (1450) ÷ 5
lim(x→∞) P(x) = 290
Therefore, many years in the future, about 290 deer will live in the forest.
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PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answer:
1244 DCD
Step-by-step explanation:
What is the meaning of "coefficients"?
A coefficient is a quantity or number that is related to a variable. The variable is frequently followed by an integer that has been multiplied by the variable.
Define Coefficient.In mathematics, a coefficient is a quantity that is multiplied by a variable in a single term or in a polynomial's terms. Any sign that represents a constant value can be used, including numbers. It is often a number, however in other situations it could be a letter. In the formula: ax² + bx + c, for instance, x is the variable and a and b are the coefficients.
Therefore, a coefficient can be actual or hypothetical, expressed as a fraction or decimal, positive or negative, and real or imaginary. According to another definition, a coefficient is "Any number we multiply a variable by." For instance, the coefficient of the variable x in the expression 9.3x is 9.3, whereas the coefficient of the expression -5z is -5.
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