Answer:
1/2 pound
Step-by-step explanation:
3/4 x 2/3 = 6/12 = 1/2 pound
Solve the inequality.
-7x - 4 > 17
Answer:x<-3
Step-by-step explanation:
Answer:
x < -3
Step-by-step explanation:
\(-7x-4>17\\\\-7x-4+4>17+4\\\\-7x>21\\\\\frac{-7x}{-7}>\frac{21}{-7}\\\\x<-3\)
Please help help help!!!
A parabola has vertex (4,3).If one x-intercept is 1, find the other x-intercept.ASAP!!!!!
Answer:
The other X is -3.
Step-by-step explanation:
please help me?
please and thanks
Answer:
-\(\frac{35}{2}\)
Step-by-step explanation:
-5 ÷ \(\frac{2}{7}\) = 17\(\frac{1}{2}\)
17\(\frac{1}{2}\) = -\(\frac{35}{2}\)
Step-by-step explanation:
keep change flip, keep the first number, change the division to multiplication, and flip the fraction.
-5 * 7/2 and multiply straight across
-35/10
Steve types at a rate of 45 words per minute. he writes an equation relating the number of words he can type, w, to the number of minutes he spends typing, m.
Steve can type 225 words in 5 minutes based on the given typing rate.
Steve's typing rate is 45 words per minute. To write an equation relating the number of words he can type, w, to the number of minutes he spends typing, m, we can use the formula: w = 45m
In this equation, w represents the number of words and m represents the number of minutes Steve spends typing. The equation states that the number of words typed is equal to the typing rate (45 words per minute) multiplied by the number of minutes spent typing.
So, if Steve spends 5 minutes typing, the equation can be used to calculate the number of words he can type:
w = 45 * 5
w = 225
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1) Use the coordinate plane to locate the quadrants. Choose ALL ordered pairs that would be found
in quadrant IV.
A(-3,2)
B (1,-6)
C(5,-2)
D(-8,-9)
E (-6, -8)
the third quadrant of the coordinate plane?
The coordinates (1,-6), (5,-2) are located in IV quadrant. Therefore, the options B and C are the correct answers.
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
Given that, use the coordinate plane to locate the quadrants.
In IV quadrant, the x-axis has positive numbers and the y-axis has negative numbers.
Here, the coordinates (1,-6), (5,-2) are located in IV quadrant.
Therefore, the options B and C are the correct answers.
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a varies jointly with b and c. a=10 b=5 and c=15. find c when a=15 and b=10
Let's begin by identifying key information given to us:
\(\begin{gathered} a\alpha bc\Rightarrow a=kbc \\ a=kbc \\ a=10,b=5,c=15 \\ \text{Substitute these into the equation, we have:} \\ 10=k\cdot5\cdot15 \\ 10=75k\Rightarrow75k=10 \\ 75k=10 \\ k=\frac{10}{75}=\frac{2}{15} \\ k=\frac{2}{15} \\ \\ When;a=15,b=10 \\ a=kbc \\ 15=\frac{2}{15}\cdot10\cdot c \\ 15=\frac{2\cdot10}{15}c \\ 15=\frac{20}{15}c \\ 15\cdot15=20c\Rightarrow225=20c \\ 20c=225 \\ c=\frac{225}{20}=11.25 \\ c=11.25 \end{gathered}\)a gardener has 1040 feet of fencing to fence in a rectangular garden. one side of the garden is bordered by a river and so it does not need any fencing. garden bordered by a river what dimensions would guarantee that the garden has the greatest possible area?
The dimensions 520 by 360 feet would guarantee that the garden has the greatest possible area .
Let length be l and width be b of garden .
According to question ,
l + 2b = 1040
Area of garden = l * b
Substituting value of l in formula for area ,
Area = ( 1040 - 2b ) * b = 1040b - 2\(b^{2}\)
Taking derivative of Area wrt. b and putting it equal to 0 ,
1040 - 4b = 0
b = 1040 / 4
b = 260 feet
Therefore , l = 1040 - 520 = 520 feet .
Maximum Area = 260 * 520 = 135200 \(feet^{2}\) .
Hence , the dimensions 520 by 360 feet would guarantee that the garden has the greatest possible area .
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If A Population Grows 10 % Each Year, What Is The Annual Continuous (Relative) Growth Rate? A) 3.00 % B) 10.52% C) 10.00% D) 9.53% E) 7.42+%
The annual continuous (relative) growth rate would be approximately 9.53%(D).
To find the annual continuous growth rate, we can use the formula for continuous compound interest:
A = P * e^(rt)
Where:
A = final amount
P = initial amount
r = continuous growth rate
t = time
We know that the population grows by 10% each year, so the growth rate (r) can be calculated as follows:
r = ln(1 + 10%) = ln(1.1) ≈ 0.0953
Converting the growth rate to a percentage gives us approximately 9.53%. So D is correct option.
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Use the slope of a line formula to find the slope of the following points: (3, 9) and (8, 15)
Answer:
m = 6/5
Step-by-step explanation:
Slope = rise/run or (y2 - y1) / (x2 - x1)
Points (3, 9) and (8, 15)
We see the y increase by 6 and the x increase by 5, so he slope is
m = 6/5
Answer:
The slope of the points is 6/5.
Step-by-step explanation:
SOLUTION :
Using slope of a line formula to find the slope of the points :
\(\quad\dashrightarrow{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}\)
\(\pink\star\) m = slope\(\pink\star\) \((x_1, y_1)\) coordinates of first point in the line\(\pink\star\) \((x_2, y_2) \) = coordinates of second point in the lineSubstituting all the given values in the formula to find the slope of the points :
\(\quad\dashrightarrow{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}\)
\(\blue\star\) y_2 = 15\(\blue\star\) y_1 = 9\(\blue\star\) x_2 = 8\(\blue\star\) x_1 = 3\(\quad\dashrightarrow{\sf{m = \dfrac{15 - 9}{8 -3}}}\)
\(\quad\dashrightarrow{\sf{m = \dfrac{6}{5}}}\)
\(\quad{\star\underline{\boxed{\sf{\red{m = \dfrac{6}{5}}}}}}\)
Hence, the slope of the points is 6/5.
————————————————number 3 please help me
Answer:
D. {1}Explanation:
given f(x) = 3x - 1
for f(x) = 2
3x - 1 = 2
3x = 2 + 1
3x = 3
x = 3/3
x = 1
what's this....?
5(x+9)=60
Answer:
Raquel has gross pay of $732 and federal tax withholdings of $62. Determine Raquel’s net pay if she has the additional items withheld: Social Security tax that is 6. 2% of her gross pay Medicare tax that is 1. 45% of her gross pay state tax that is 21% of her federal tax a. $600. 99 b. $610. 54 c. $641. 83 d. $662. 99.
Step-by-step explanation:
hello ur intro
Help
4.This tree diagram shows the results of selecting colours of cubes. (B represents blue, Y represents yellow, and G represents green.) Is it for dependent or independent events? How do you know?
Based on the tree diagram and the independence of the events, we can conclude that the events represented in the diagram are independent events.
Are the events in the tree diagram for selecting colors of cubes dependent or independent?To determine if the events are dependent or independent, we need to examine the branches of the tree diagram and check if the outcomes of one event affect the outcomes of the other event.
In the given tree diagram, the selection of colors for the cubes is represented by different branches. Each branch represents an independent event because the outcomes of selecting one color do not affect the outcomes of selecting another color.
The probabilities associated with each branch can be multiplied to calculate the probability of a specific sequence of events indicating that they are independent.
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A linear equation has a slope of 2 and goes through points (3,5). Write an
equation for this line in slope intercept form.
Answer:
y=2x-1
Step-by-step explanation:
Caitlyn was drawing in Art class. She had 20 hearts and 15 flowers.
What is the ratio of flowers to hearts?
Answer:
15:20
Step-by-step explanation: Well we know that we have 20 hearts and 15 flowers. In the question, it mentions flowers first so we put the flowers first in the ratio. flowers:hearts or 15:20
15 : 20 hope it helped:)
Two vertices of rectangle ABCD are located at A(-4,-2) and B(5,-2). If the
midpoint of AD is located 5 units down from A, what are the coordinates of the
vertices C and D?
By using the definition of a rectangle on a Cartesian plane, the coordinates of the vertices C and D are C(x, y) = (5, - 12) and D(x, y) = (- 4, - 12).
What are the missing coordinates of two vertices of rectangles?
Rectangles are quadrilaterals with two pairs of parallel sides of equal length and four right internal angles. On a Cartesian plane, we find define the locations of the vertices of the rectangle below:
A(x, y) = (a, c), B(x, y) = (b, c), C(x, y) = (b, d), D(x, y) = (a, d)
If we know that a = - 4, b = 5, c = - 2, d = - 12, then the coordinates of the vertices C and D are C(x, y) = (5, - 12) and D(x, y) = (- 4, - 12).
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Mark ran the 50 m race in exactly 34.65 seconds.how fast did he run,to the nearest second
Answer:
1.44m/s
Step-by-step explanation:
Given
Distance = 50m
Time = 34.65secs
Required
Speed
Speed = Distance/Time
Speed = 50/34.65
Speed = 1.44m/s
Hence Mark is running at 1.44m/s
A solution that has a high concentration of hydrogen ions has what type of ph? responses 2 2 7 7 13 13 14
Answer:
2,
Step-by-step explanation:
It will be a low value < 7.
It.s in the acid range.t
Answer:
It would be 2!
I took the K-12 Quiz
If x−2/4=2, then x=10
Answer:
True.
Step-by-step explanation:
\(\frac{(10)-2}{4}=2\\\\\frac{8}{4}=2\\\\2=2\)
Find the product:
(2p-3)^2
Answer:
(2p-3)² = 4p²-9
may it can help you .
mark me as brainliest pls
A wave on a string can be represented by the equation:
y(x,t)=Asin(kx−ωt)y(x,t)=Asin(kx−ωt)
Where: A = 0.04 m, k = 5 m-1, and ω = 6 s-1.
1)
What is the speed of the propagation of the wave?
a) 125 m/s
b) 0.008 m/s
c) 1.2 m/s
d) 0.833 m/s
e) 150 m/s
f) 0.00667 m/s
2)
What is the direction of propagation of the wave?
a) +x
b) -x
c) +y
d) -y
e) +z
f) -z
3)
What is the amplitude of the wave?
a) 6 m
b) 5 m
c) 0.04 m
d) 0.008 m
e) 0.00667 m
4)
In what direction does any small piece of the string move?
a) the x-direction
b) the y-direction
c) the z-direction
5)
What is the maximum speed of any small piece of the string?
a) 0.04 m/s
b) 0.24 m/s
c) 0.00667 m/s
d) 0.008 m/s
e) 0.2 m/s
The speed of the propagation of a wave on a string is given by the equation v = ω/k, where v is the speed, ω is the angular frequency, and k is the wave number.
In this case, ω = 6 s^(-1) and k = 5 m^(-1), so the speed of the wave can be calculated as v = 6 s^(-1) / 5 m^(-1) = 1.2 m/s. Therefore, the correct option is c) 1.2 m/s. The direction of propagation of the wave is determined by the sign of the coefficient of the variable x in the equation. In this case, the coefficient is positive (+kx), indicating that the wave is traveling in the positive x-direction. Therefore, the correct option is a) +x. The amplitude of the wave is represented by the coefficient A in the equation. In this case, A = 0.04 m, so the amplitude of the wave is 0.04 m. Therefore, the correct option is c) 0.04 m.
Any small piece of the string moves perpendicular to the direction of propagation of the wave. In this case, the wave equation is given in terms of the variable y(x, t), which represents the displacement of the string in the y-direction at a given position x and time t. Therefore, the correct option is b) the y-direction. The maximum speed of any small piece of the string occurs when the displacement is at its maximum, which is equal to the amplitude of the wave. In this case, the amplitude A = 0.04 m. The speed of the small piece of the string is given by the derivative of the displacement equation with respect to time, which is v = d/dt (Asin(kx - ωt)). Taking the derivative, we get v = -Aωcos(kx - ωt). The maximum value of the cosine function is 1, so the maximum speed is |v| = Aω = 0.04 m * 6 s^(-1) = 0.24 m/s. Therefore, the correct option is b) 0.24 m/s.
In summary, the answers are:
c) 1.2 m/s
a) +x
c) 0.04 m
b) the y-direction
b) 0.24 m/s
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A honeybee leaves its hive and travels 100 m due west, 200 m due south, and then returns to a position 5 m north of its hive. what is its total displacement?
The total displacement of the honeybee as it travels west, south and north is 219.2 m.
Total displacement of the honeybeeThe total displacement of the honeybee is calculated as follows;
total horizontal displacement, x = 100 m due west
total vertical displacement, y = 200 m - 5 m = 195 m
total displacement, d = √x² + y²
d = √(100² + 195²)
d = 219.2 m
Thus, the total displacement of the honeybee as it travels west, south and north is 219.2 m.
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The length on the scale drawing and the actual length of the patio
can be written as a
of 1:2.
The phrase "a of 1:2" refers to the scale factor between the length of the scale drawing and the actual length of the patio.
It means that the length on the scale drawing is half of the actual length of the patio.
The scale is used to represent the object's size proportionally.
The scale shows the ratio of the size of the drawing to the actual size of the object.
A scale of 1:2 means that one unit on the drawing represents two units in real life.
The patio, if the length on the scale drawing and the actual length of the patio can be written as a ratio of 1:2, it means that the length of the patio on the drawing is half the length of the actual patio.
This scale can be used to determine the actual length of the patio if the length on the scale drawing is known.
If the length of the patio on the scale drawing is 4 inches, then the actual length of the patio can be found by multiplying the length on the drawing by the scale factor:
Actual length of the patio = 4 inches × 2 = 8 inches
Conversely, if the actual length of the patio is known, the length on the scale drawing can be found by dividing the actual length by the scale factor:
Length on the scale drawing = Actual length of the patio / 2
The actual length of the patio is 16 feet, then the length on the scale drawing would be:
Length on the scale drawing = 16 feet / 2 = 8 feet
The scale ratio of 1:2 allows us to represent the actual size of the patio in a smaller size on a drawing, while maintaining the correct proportions. This can be useful for architectural plans, blueprints, or any other situation where a representation of an object needs to be made in a smaller size.
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find midpoint and length of line segment that has endpoints (3,5) and (9,-3)
Graph the linear inequality shown below on the provided graph. y>-3x+8
On graphing the inequality , a dotted line and the shaded area is seen which means all the values above that line is included.
What is a Linear Inequality ?When two algebraic expressions are equated using inequality operators < ,> etc , the statement formed is called Linear Inequality.
The inequality given is
y > - 3x+8
On graphing the inequality , a dotted line and the shaded area is seen which means all the values above that line is included.
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Can someone help me with this Question.
The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.
\(P=3W+D\)A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.
B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.
\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.
That leaves \(27-14=13\) matches. These represent the matches team lost.
Finally, the answers are below.
\(A)29\)
\(B)13\)
Answer:
a) 29 points
b) 13 losses
Step-by-step explanation:
You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.
A 8 wins, 5 drawsThe number of points the team has is ...
P = 3W +D
P = 3(8) +(5) = 29
The team has 29 points.
B 54 pointsYou want the number of losses the team has if it has 54 points and 12 draws after 39 games.
The number of wins is given by ...
P = 3W +D
54 = 3W +12
42 = 3W
14 = W
Then the number of losses is ...
W +D +L = 39
14 +12 +L = 39 . . . substitute the known values
L = 13 . . . . . . . . . . subtract 26 from both sides
The team lost 13 games.
__
Additional comment
In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)
<95141404393>
Which table represents a linear function?
Answer:
I think it's 4
Step-by-step explanation:
Answer:
C (The third table in the picture)
Step-by-step explanation:
Apologies if im wrong but I think it's C because it is doubling each time it goes further in the table.
You are scheduled to receive $15,500 in three years. When you receive it it for seven more years at 9 percent per year. How much will you have in not round intermediate calculations and round your answer to 2 decin 32.16.) to receive $15,500 in three years. When you receive it, you will invest years at 9 percent per year. How much will you have in ten years? (Do ediate calculations and round your answer to 2 decimal places, e.g., Future value
After ten years, you will have approximately $34,448.12.
To calculate the future value of an amount invested at a certain interest rate, we can use the compound interest formula:
Future Value = Present Value * (1 + interest rate)^number of periods
In this case, we will receive $15,500 in three years and then invest it for seven more years at a 9% interest rate.
Step 1: Calculate the future value after three years.
Future Value after three years = $15,500 * (1 + 0.09)^3
Step 2: Calculate the future value after ten years (three years plus the additional seven years).
Future Value after ten years = Future Value after three years * (1 + 0.09)^7
Let's calculate the future value using the given values:
Future Value after three years = $15,500 * (1 + 0.09)^3
= $15,500 * (1.09)^3
= $15,500 * 1.295029
= $20,045.45
Future Value after ten years = $20,045.45 * (1 + 0.09)^7
= $20,045.45 * (1.09)^7
= $20,045.45 * 1.71899
= $34,448.12
Therefore, after ten years, you will have approximately $34,448.12.
It's important to note that this calculation assumes that the interest is compounded annually. If the interest is compounded more frequently (e.g., semi-annually or quarterly), the calculation would be slightly different.
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Find the rate of change in the graph
Answer:
4/3
hope this helped :)
Which expression is equivalent to
Answer:
i believe it is the second answer choice
Step-by-step explanation:
Find the distance between 2 and -2
A) -6
B) -4
C) 0
D) 4
Answer:
d
Step-by-step explanation: