Answers
Answer:
I believe your answer is correct.
Step-by-step explanation:
Related Questions
if i had 1000 apples and gave 39 away
how many wouldd i have left
Answers
Answer:
1000-39=961
so 961 apples are left.
Find the smallest positive integer k such that, for every positive integer n, 6n+k is relatively prime to each of 6n+3, 6n+2, and 6n+1.
Answers
Answer:
Use Mathpapa to find your answer.
Step-by-step explanation:
It's a good, and powerful program.
Order the following rational numbers from greatest to smallest.
- 7
0.40
4.1
-3/4
Answers
0.40
-3/4
-7
That’s it!
Given the recursive formula below, what are the first 4 terms of the sequence?
image
Question 3 options:
A)
17, 19, 21, 23
B)
17, –6, –3, 0
C)
17, 13, 9, 5
D)
17, 15, 13, 11
Answers
Answer:
D)
17,15,13,11
Step-by-step explanation:
From the formula
\(f(n) = f(n - 1) - 2 \\ f1 = 17 \\ \)
we can deduce the next three terms as follows:\(f(2) = f(2 - 1) - 2 \\ f(2)= f(1) - 2 \\ f(2) = 17 - 2 \\ f(2) = 15\\ \)\(f(3) = f(3 - 1) - 2 \\ f(3)= f(2) - 2 \\ f(3) = 15 - 2 \\ f(3) = 13\\ \)\(f(4) = f(4 - 1) - 2 \\ f(4)= f(3) - 2 \\ f(4) = 13 - 2 \\ f(4) = 11\\ \)Hence the sequence is; 17, 15, 13, 11,...You pick a marble, roll a die, and pick a card. How many outcomes are possible?
Answers
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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Write an equation of the line passing through the point A(6,-1) that is perpendicular to the line y=-2x+8
Answers
Answer:
\(y+1=\frac{1}{2}(x-6)\)
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals, so the slope of the line to be found is 1/2.
Substituting into point-slope form, the equation is
\(y+1=\frac{1}{2}(x-6)\)
In 2004, it was reported that "the relationship between body mass, M
M
, and standard metabolic rate, B
B
, among living organisms remains controversial. However, in many cases B
B
is approximately proportional to the three-quarters power of M
M
."
(a) Write a function that represents this relationship. If you must introduce a new variable, use k
k
.
Answers
The function that represents the relationship is B = 3/4M
How to determine the function that represents the relationship?From the question, we have:
B is approximately proportional to the three-quarters power of M
This means that the constant of proportion (k) is
k = three-quarters
So, we have
B = k * M
Substitute the known values in the above equation, so, we have the following representation
B = 3/4 * M
Evaluate
B = 3/4M
Hence, the relationship is B = 3/4M
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Calculate the area of the shaded part of the square
Answers
Answer:
60.7 cm² (nearest tenth)
Step-by-step explanation:
Square
From inspection of the diagram, we can determine that the side length of the square is 2 radii = 2 x 5cm = 10cm
Area of a square = side length x side length
⇒ area of square ABCD = 10 x 10 = 100 cm²
Square overlapping circle
All angles in a square measure 90°. Therefore, interior angle A and angle B of the square = 90°
Angles around a point add up to 360°. Therefore, the area of the square overlapping the circle = 360/90 = 1/4 of the area of the circle.
Area of a circle = \(\pi\)r²
⇒ area of sector = 1/4 area of circle
= (1/4)\(\pi\)r²
= (1/4)\(\pi\)5²
= (1/4)\(\pi\) x 25
= (25/4)\(\pi\)
Shaded area
Shaded area = area of square - [2 x (1/4) area of circle]
= 100 - [2 x (25/4)\(\pi\)]
= 100 - (25/2)\(\pi\)
= 60.73009183...
= 60.7 cm² (nearest tenth)
Answer:
area of the shaded part is 60.73 cm²
Step-by-step explanation:
Find the area of square:
→ Length² → 10² → 100 cm²
Find area of circle:
→ πr² → 5²π → 25π
Find the area of semi circle
→ 25π ÷ 2 → 12.5π
the part inscribed in the square is half of the semi circle:
→ 12.5π ÷ 2 → 6.25π
the other semi circle is same as this one, so total area:
→ 6.25π + 6.25π = 12.5π cm²
now the area of shaded: 100 cm² - 12.5π cm²
→ 60.73 cm²
A population x of rabbits on an island is modeled by x? = x ? (1/1000)x^2, where the independent variable is time in months. At time t = 0, there are 40 rabbits on the island.
a) Find the solution to the equation with the initial condition.
b) How many rabbits are on the island in 1 month, 5 months, 10 months, 15 months (round to the nearest integer).
Answers
a) The solution to the equation with the initial condition is x = 40\(e^{(t/1000)}\).
b) Approximately 40, 42, 45, and 49 rabbits on the island after 1, 5, 10, and 15 months.
a) To find the solution to the equation with the initial condition, do we need to solve the differential equation x? = x ? (1/1000)x² with the initial condition x(0) = 40.
Separating variables and integrating, we get:
dx/x = (1/1000) dt
Integrating both sides, we get:
ln|x| = (1/1000) t + C
where C is a constant of integration.
Using the initial condition x(0) = 40, we can solve for C:
ln|40| = C
C = ln|40|
Substituting this value of C, we get:
ln|x| = (1/1000) t + ln|40|
Simplifying, we get:
x = \(e^{(ln|40|+(1/1000) t)\) = 40\(e^{(t/1000)}\)
Therefore, the solution to the differential equation with the initial condition is x = 40\(e^{(t/1000)}\).
b) To find the number of rabbits on the island after 1 month, 5 months, 10 months, and 15 months, we simply substitute the given values of t into the solution and round to the nearest integer.
After 1 month, x = 40\(e^{(1/1000)}\) ≈ 40.04, so there are approximately 40 rabbits on the island.
After 5 months, x = 40\(e^{(5/1000)}\) ≈ 41.67, so there are approximately 42 rabbits on the island.
After 10 months, x = 40\(e^{(10/1000)}\) ≈ 45.26, so there are approximately 45 rabbits on the island.
After 15 months, x = 40\(e^{(15/1000)}\) ≈ 49.28, so there are approximately 49 rabbits on the island.
Therefore, there are approximately 40, 42, 45, and 49 rabbits on the island after 1, 5, 10, and 15 months, respectively.
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Which of the following sets represents continuous data?
A. {1, 2, 3, ...)
B. (4,7)
C. {5, 13, 16, 20, 30)
D. {..., -9, -6, -3}
Answers
Answer:
option A is your answer okk
If the square root of 16 = x, then x2 =
Answers
Answer:
8
Step-by-step explanation:
16=x
16 square root is 4
16=4
x2
(4)2= 8
Answer:
x2 or 2x=8
Step-by-step explanation:
the square root of 16 is 4
since the other term is 2*x you plug-in numbers and get 2*4=8
You have 50 quarters. You find 20% more quarters in your room. Then
you go shopping and spend 25% of the total number of quarters. Write an expression to represent the
total number of quarters you take with you shopping. Calculate, in dollars, the amount of money you
have left
What expression represents your total number of quarters?
OA. 50 + (50 - 20)
OB. 50 + (50 x 0.20)
OC. 50+ (50 +0.25)
OD. 50 + (50 x 20)
Click to select your answer
Answers
Answer:
OB
because it is the correct answer
In triangle ABC, AB = 6, BC = 8, and angle ABC = 90 degrees. Find the area of triangle ABC.
Answers
Answer:
24
Step-by-step explanation:
The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.
6 x 8 = 48
48 / 2 = 24
Use the function f(x) to answer the questions:
F(x)=2x²-x-10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show
work. (3 points)
Part C: What are the steps you would use to graph fx)? Justify that you can use the answers obtained in Part A and Part B to draw the graph (5 point
Answers
Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:
2x² - x - 10 = 0
This equation can be factored as:
(2x + 5)(x - 2) = 0
Setting each factor equal to zero, we get:
2x + 5 = 0 => 2x = -5 => x = -5/2
x - 2 = 0 => x = 2
Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.
Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).
In this case, a = 2 and b = -1. Plugging these values into the formula, we have:
x = -(-1) / (2 * 2) = 1/4
To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point
Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).
Part C: To graph f(x), we can follow these steps:
Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.
Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).
Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.
Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.
Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.
The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.
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The x-intercepts from the graph attached are
(-2, 0) (2.5, 0)The vertex from the graph attached is
(0.25, -10.125)How to find the required parametersPart A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:
2x² - x - 10 = 0
x = (-b ± √(b² - 4ac)) / (2a)
a = 2, b = -1, c = -10
Plugging these values into the quadratic formula:
x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)
x = (1 ± √(1 + 80)) / 4
x = (1 ± √81) / 4
x = (1 ± 9) / 4
x₁ = (1 + 9) / 4 = 10 / 4 = 2.5
x₂ = (1 - 9) / 4 = -8 / 4 = -2
Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.
Part B
To find the coordinates of the vertex, we can use the formula:
x = -b / (2a)
x = -(-1) / (2 * 2) = 1 / 4 = 0.25
we substitute this value back into the original function:
f(0.25) = 2(0.25)² - 0.25 - 10
f(0.25) = 0.125 - 0.25 - 10
f(0.25) = -10.125
Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).
Part C: The steps to graph f(x) include:
Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.
Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.
Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.
Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.
By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)
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HELP ME PLEASE !
The scatterplot shows the relationship between life
expectancy (in years) and Internet users (per 100
individuals in the population) for 35 countries in North
and South America, along with the least-squares regres-
sion line. Haiti had a life expectancy of 45 years and
8.37 Internet users per 100 people.89 What effect would
removing this point have on the regression line?
(a) Slope would increase; y intercept would increase.
(b) Slope would increase; y intercept would decrease.
(c) Slope would decrease; y intercept would increase.
(d) Slope would decrease; y intercept would decrease.
Answers
a.) There is a weak Positive relation between life expectancy and percentage of Internet users.
b.) Observational study
c.) A possible confounding variance is. An increased information can lead to greater health knowledge.
The relationship between life expectancy and percentage of internet users can be described as positive, nonlinear and almost strong. The relationship is positive because the countries having higher percentage of internet access tend to have higher average life expectancies, however rise in life expectancy trails off before around 80 years old.
What is observational study?
Observational studies are ones where researchers observe the effect of a risk factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it. Cohort studies and case control studies are two types of observational studies.
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Hello! Question is in photo please help me out.
Answers
The value of x for the given similar triangle will be 5 units.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
If two figures have three sides similar then they will be similar by side-by-side property which is written as SSS.
From the similarity concept, the value of x will be calculated as:-
( 10 / x ) = ( 6 / 3 )
10 = 2x
x = 10 / 2
x = 5
Therefore, the value of x for the given similar triangle will be 5 units.
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Find the sum of the following finite geometric series.
Answers
The sum of the geometric sequence in this problem is given as follows:
5.77.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.
The first term, the common ratio and the number of terms for this problem are given as follows:
\(a_1 = 10, q = -\frac{2}{3}, k = 8\)
The formula for the sum of the first n terms is given as follows:
\(S_n = a_1\frac{1 - r^n}{1 - r}\)
Hence the sum for this problem is given as follows:
\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)
\(S_8 = 5.77\)
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Which inequality is graphed below
Answers
Answer:
wheres it at?
Step-by-step explanation:
#Everything4Zalo
Please help me i need help.
Answers
Answer:
5x+7 > 17 matches with 3.
1+3x > -5 matches with 2.
2x+1 < 3 matches with 1.
5-3x > 11 matches with 4.
Step-by-step explanation:
Problem 3
Draw the pictures to compute 1 ÷ 11 in a base ten system, and show the answer is 0.09.
Answers
The result of 1/11 in the base 10 system is given as is 0.09.
How to solveTo visualize the long division of 1 ÷ 11 in a base ten system:
Set up the long division: 11 outside and 1.00 inside the division bracket.
Place the decimal point in the quotient above the dividend's decimal point.
Bring down the first digit (0) and divide 11 into 10; it goes 0 times.
Subtract the product (0) from 10, leaving 10.
Bring down the next digit (0) and divide 11 into 100; it goes 9 times.
Subtract 99 from 100, leaving a remainder of 1.
The result is 0.09.
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Look at the diagram below of the pythagorean theorem. What is the area of square A?
(Will mark brainliest, please just help me)
Answers
Answer:
It could be 14M.
Step-by-step explanation:
A to B is similar length, so that is why it could be 14M.
A one-way trolley ticket to Old Town costs 3.50. How much will it cost for Ahyeon and three friends to ride to Old Town and home again?
Answers
Answer:
$28
Step-by-step explanation:
Each round trip will be double the price of a one-way trip, so will be ...
2 × $3.50 = $7.00
Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...
4 × $7.00 = $28.00
pls help i am in 8th grade k12 o0A group of workers is harvesting pumpkins at a constant rate. An equation that represents the number of pumpkins the workers picked over a period of time, in hours, is y = 5x + 10.
What are the slope and the y-intercept for the equation that represents the number of pumpkins the workers picked over a period of time?
What are the rate of change and the initial amount? Explain what the rate of change and the initial amount mean for this particular situation.
Use graph paper to draw a graph representing the situation. Label the axes appropriately.
Answers
Answer:
1) 5/1 is the slope, and 10 is the y intercept.
2) Inital amount is the y intercept, and 10 is the rate of change.
3) Should be easy from there! Just graph (0,10), and go up 5, right 1, and repeat.
Step-by-step explanation:
This is in slope intercept form! Where 5 is the slope, and 10 is the y intercept. The rate of change is another way of saying slope, and the inital amount is your starting value, or y intercept.
Given that a+b = 10 and a square - b square = 40 find the value of a-b
Answers
Answer:
the value of a - b is 4.
Step-by-step explanation:
We have been given the following two equations:
a + b = 10 ------------(1)
a² - b² = 40 -------(2)
We can factor the left-hand side of equation (2) using the difference of squares identity:
(a + b)(a - b) = 40
Substituting equation (1) into this equation, we get:
10(a - b) = 40
Dividing both sides by 10, we get:
a - b = 4
Therefore, the value of a - b is 4.
Step-by-step explanation:
if I understand this correctly :
a + b = 10
a² - b² = 40
(a² - b²) = (a + b)(a - b) = 40
10(a - b) = 40
(a - b) = 4
Choose the elements below that determine whether an exponential equation represents growth or decay.
The coefficient of the equation.
The base of the equation.
The sign of the exponent.
The sign of the base.
The sign of the coefficient.
Answers
The coefficient of the equation does not affect whether the function represents growth or decay, but it does affect the rate of growth or decay
The sign of the base and the sign of the exponent are the two options that determine whether an exponential equation represents growth or decay.
If the equation's base is bigger than one,
Then the exponential function represents growth.
If the base, on the other hand, is between 0 and 1, the exponential function symbolizes decline.
The sign of the exponent also plays a crucial role in determining whether the function represents growth or decay.
If the exponent is positive, then the function represents growth.
However,
If the exponent is negative, then the function represents decay.
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Which set of graphs can be used to find the solution set to 3e^x> -1/2x?
Answers
Step-by-step explanation:
all the pink area above the blue line (above means ">", and the blue line is -1/2 x), and not including the line.
There are vehicles in a parking lot. The frequency table shows data about the types and colors of the vehicles. Complete a relative frequency table to show the distribution of the data with respect to color. Use pencil and paper. Explain why the first two numbers in each row must add up to 100%.
Frequency Table
Color
Type of Vehicle
Car
Truck
Total
Blue
Red
Total
Question content area bottom
Part 1
Complete the table.
Row Relative Frequency Table
Color
Type of Vehicle
Car
Truck
Total
Blue
enter your response here%
enter your response here%
100%
Red
enter your response here%
enter your response here%
100%
Total
enter your response here%
enter your response here%
100%
Answers
Answer:
you su ck hah lol
Step-by-step explanation:
ez
SOMEONE PLEASE ANSWER. I'M CRYING AND DONT KNOW WHAT TO DO! I NEED YOUR HELP PLEASE!
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one half gallon of water is needed, and for every 5 scoops of mix, one and one fourth gallons of water are needed. Part A: Find the constant of proportionality. Show every step of your work. Part B: Write an equation that represents the relationship. Show every step of your work. Part C: Describe how you would graph the relationship. Use complete sentences. Part D: How many gallons of water are needed for 12 scoops of drink mix?
Answers
Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.
What is the fundamental formula for a straight line?The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.
The point where the graph crosses the y-axis is called the y-intercept, or c.
Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x
OR
y₁/x₁ = y₂/x₂
In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,
1 1/4 gallons of water are required.
The proportional formula is written as y = k x.
Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.
1.25 gallon of water is required for 6 scoops.
This means that k = 2/0.5
k = 2/(1/2)
k = 2 x 2
k= 4
Equations describing the relationship can be expressed as y = 4x + c.
0.5 gallon of water is now required for 2 scoops.
2=4(1/2)+c
2=2+c
c=0
Therefore, the formula will be y = 4x.
The end includes a graph for y = 4x.
12 scoops of water:
12=4x
x=3 gallons of water is needed.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is, 3 / 5
We have to given that;
the terminal side of theta in standard position contains the point (6,-8)
Hence, For given condition we get;
The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,
Here, x = 6, y = - 8
Hence, We get;
r = √x² + y²
r = √6² + 8²
r = √36 + 64
r = √100
r = 10
So, The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,
cos θ = x / r
cos θ = 6 / 10
cos θ = 3 / 5
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Divide.
3/5 ÷ 2/5 = ???
A.
2/3
B.
1 1/2
C.
6/25
D.
4/5
Answers
Answer:
i put it in a calc and got 1 1/2 which simplifies to 2/3
Step-by-step explanation:
Answer: a?
Step-by-step explanation:
i did 3 dived by 5 then 2 diviided by 5, dived the awnsers and got 2/3