Answer:
$181.20
Step-by-step explanation:
6% of $3,020 is $3,020. I don't really know how to explain it but yeah lol.
Answer:
Your answer is 181.2
Step-by-step explanation:
the number 3020 is 100% (because it's the output value of the task)
If 3020 is 100%, so we can write it down as 3020=100%.
We know, that x is 6% of the output value, so we can write it down as x=6%.
Now we have two simple equations:
3020=100%
x=6%
3020/x=100%/6%
Now we just have to solve the simple equation, and we will get the solution we are looking for.
3020/x=100/6
(3020/x)*x=(100/6)*x (we multiply both sides of the equation by x)
3020=16.666666666667*x (we divide both sides of the equation by) (16.666666666667) to get x
3020/16.666666666667=x
181.2=x
x=181.2
hope this helps
Give Brainliest if you please
Using function Notation
Evaluate the function
w(n) = n²- n; Find w(7)
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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A spherically shaped hot air balloon has a
diameter of about 27 meters when fully inflated.
What is the volume of the hot air balloon when it
is fully inflated?
Answer: 7725.5775
Step-by-step explanation:
d=27
r=d/2=27/2=13.5
the volume of the spherical balloon= 3.14*r^3
= 3.14*(13.5)^3
= 7725.5775
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Jo flips a coin {H, T}; then rolls a 6-sided die {1, 2, 3, 4, 5, 6}. which of the following outcomes are in the sample space of this experiment?
a. 4
b. 8
c. 12
d. 36
Consider we need to find the number of elements in the sample space.
Given:
Jo flips a coin {H, T}; then rolls a 6-sided die {1, 2, 3, 4, 5, 6}.
To find:
The number of elements in the sample space of this experiment.
Solution:
Jo flips a coin {H, T}; then rolls a 6-sided die {1, 2, 3, 4, 5, 6}.
So, the sample space is
S = {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
So, the number of elements in the sample space is 12.
Therefore, the correct option is C.
Answer:
12
Step-by-step explanation:
Janet needs to paint the walls of a room shaped like a
rectangular prism. The room
has a length of 10 ft., a width of 15 ft, and a height of 8 ft. How much paint does she need to cover the
To solve this problem, we will use the formula of rectangular prism surface area.
The formula is:
A=2(wl+hl+hw)
A is the area, w is the width, l is the length, and h is the height.
So we will put in all the numbers.
A=2((15)(10)+(8)(10)+(8)(15))
Multiple all the numbers inside:
A=2(150+80+120)
Add all the numbers inside:
A=2(350)
Multiply:
A=700ft^2
Hope this helped!
Answer the following questions,
0
(a) What number is 95% of 80
0
(b) 85% of what is 51?
Answer:
95% of 80 is 76 and 85% of 60 is 51.
Step-by-step explanation:
Answer:
a. 76, b. 60.
Step-by-step explanation:
a) 80 * 0.95 = 76.
b) 0.85 x = 51
x = 51/0.85 = 60.
More people leave Anytown, AL each year than move into it. The population over the past 20 years is shown in the table. Use technology to find an equation that models the exponential decline. Report the rate of decline below, rounding to the nearest hundredth.
Year Population
2000 30,000
2005 27,000
2010 25,500
2015 24,000
2020 22,400
The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
Let's suppose the equation that models the exponential decline is: y=a(bˣ).
From the data given, we can calculate the value of a and b:
a = 46348587109809610
b = 0.9861
y = 46348587109809610(0.9861)ˣ
Therefore, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
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NO LINKS!! URGENT HELP PLEASE!!
Express the statement as an inequality Part 6a^2
(c) \(q \le \pi\)
(d) \(2 \ge d \ge 1\)
Explanation:
The "less than or equal to" sign is ≤ which has a "less than sign" placed on top of a single horizontal bar. It can be thought of something like this \(\stackrel{ < }{=}\) except there isn't a second horizontal bar.
The "d is between 2 and 1" seems to have a strange order to it. I have a feeling your teacher is wanting 2 ≥ d ≥ 1 because of that order. Normally we would list things from smallest to largest. We involve "or equal to" if we want to include the endpoints.
Part a: q is less than or equal to π: q ≤ π.
Part b: d is between 2 and 1: 1 < d < 2.
Explain about the inequality sign:Less than (<), more than (>), less than or equal (≤), greater than or equal (≥), and not equal (≠) are the inequality symbols.
Numbers are compared using inequalities to identify the range (or ranges) of values which satisfy the requirements of a certain variable.
Addition, subtraction, multiplication, and division are operations on linear inequalities. Here is a list of the fundamental guidelines for these operations.The inequality sign is unaffected by subtracting the same amount from both sides of the inequality. As an illustration, if a > b, then a - c > b - c.Part a: q is less than or equal to π.
In this case:
q < π and q = π
Combining both:
q ≤ π
Part b: d is between 2 and 1
Here values 1 and 2 will not be taken for d.
d < 2 and d > 1
Thus,
1 < d < 2
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Use the function f(x) to answer the questions:
f(x) = 2x2 − 5x + 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
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 your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
The x-intercepts of the graph of f(x) are x = 3/2 and x = 1,the Vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point, The vertex is at (5/4, 3/8). This is the minimum point of the graph.
Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.
2x^2 - 5x + 3 = 0
To factor this quadratic equation, we look for two numbers that multiply to give 3 (the coefficient of the constant term) and add up to -5 (the coefficient of the linear term). These numbers are -3 and -1.
2x^2 - 3x - 2x + 3 = 0
x(2x - 3) - 1(2x - 3) = 0
(2x - 3)(x - 1) = 0
Setting each factor equal to zero, we get:
2x - 3 = 0 --> x = 3/2
x - 1 = 0 --> x = 1
Therefore, the x-intercepts of the graph of f(x) are x = 3/2 and x = 1.
Part B: To determine whether the vertex of the graph of f(x) is a maximum or a minimum, we look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient indicates that the parabola opens upwards, so the vertex will be a minimum.
To find the coordinates of the vertex, we can use the formula x = -b/2a. In the equation f(x) = 2x^2 - 5x + 3, the coefficient of the x term is -5, and the coefficient of the x^2 term is 2.
x = -(-5) / (2*2) = 5/4
Substituting this value of x back into the equation, we can find the y-coordinate:
f(5/4) = 2(5/4)^2 - 5(5/4) + 3 = 25/8 - 25/4 + 3 = 3/8
Therefore, the vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point.
Part C: To graph f(x), we can use the information obtained in Part A and Part B.
- The x-intercepts are x = 3/2 and x = 1. These are the points where the graph intersects the x-axis.
- The vertex is at (5/4, 3/8). This is the minimum point of the graph.
We can plot these points on a coordinate plane and draw a smooth curve passing through the x-intercepts and the vertex. Since the coefficient of the x^2 term is positive, the parabola opens upwards, and the graph will be concave up.
Additionally, we can consider the symmetry of the graph. Since the coefficient of the linear term is -5, the line of symmetry is given by x = -(-5) / (2*2) = 5/4, which is the x-coordinate of the vertex. The graph will be symmetric with respect to this line.
By connecting the plotted points and sketching the curve smoothly, we can accurately graph the function f(x).
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she created ordered pairs, (height , weight), from the data and found they defined a function. which of the following actions would cause alex's set of ordered pairs to no longer define a function?
Option(B) is the correct answer. The answer is - Adding data from a student who is 154 cm tall and weighs 69kg.
A function is a set of ordered pairs in which no two different ordered pairs have an identical x -coordinate. An equation that makes such a set of ordered pairs defines a function.The domain of the function is the set of all inputs and the range of the function is the set of all outputs. To check to see if a set of ordered pairs or a list presented by a table is a function or not, check to make sure that each input value is paired with only one output value.Read more about function:
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A plot of land has vertices as follows, where each coordinate is a measurement in feet. find the perimeter of the plot of land (1,7),(7,7),(7,1),(1,1) A.24ft B.32ft C.16ft D.36ft
Answer:
D. 36ft
Step-by-step explanation:
Answer:
the real answer is 24 :)
Step-by-step explanation:
An outdoor and camping store pays a wholesale price of $27.25 for a fishing rod and sells it for $38.15. What is the percent markup?
Applying the formula, it is found that the percent markup is of 40%.
----------------------------------
The percent markup is given by the markup multiplied by 100% and divided by the initial price.The wholesale price is of $27.25, which is the initial price, with a sale price of $38.15, thus, the change is of 38.15 - 27.25 = $10.9.Thus, applying the formula, it is found that the percent markup is given by:\(P = \frac{10.9}{27.25} \times 100\% = 40\%\)
The percent markup is of 40%.
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You design a new app for cell phones. Your revenue for x downloads is given by f(x) = 3x Your profit
is $20 less than 90% of the revenue for x downloads. Create a function p to model the profit. Find
the profit for 90 downloads.
Answer:
p = 2.7x - 20
p(90) = $223
Step-by-step explanation:
revenue → f(x) = 3x ,where x is the number of downloads.
the statement “Your profit p is $20 less than 90% of the revenue for x downloads”
means
\(p=90\% f\left( x\right) -20\)
means
\(p=\frac{90}{100} \times f\left( x\right) -20\)
means
\(p=\frac{9}{10} \times (3x) -20\)
means
\(p=\frac{9}{10} \times (3x) -20\)
means
\(p=2.7x -20\)
………………………………
the profit for 90 downloads :
= p(90)
= 2.7×(90) - 20
= $223
PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80
do the following: a) find the real and imaginary parts, and sketch each with a stem plot. b) find the magnitude and phase, and sketch each with a stem plot. g
a) To find the real and imaginary parts of a complex number, we can use the equation z = x + iy, where x is the real part and y is the imaginary part.
To sketch a stem plot, we need to plot the real part on the x-axis, and the imaginary part on the y-axis. For example, for the complex number z = 4 + 3i, the real part is x = 4 and the imaginary part is y = 3. Therefore, the stem plot would be (4, 3).
b) To find the magnitude and phase of a complex number, we can use the equation z = |z|e^(iθ), where |z| is the magnitude and θ is the phase. To sketch a stem plot, we need to plot the magnitude on the x-axis, and the phase on the y-axis. For example, for the complex number z = 4 + 3i, the magnitude is |z| = 5 and the phase is θ = arctan(3/4). Therefore, the stem plot would be (5, arctan(3/4)).
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Find the value of EC.
13
12
E
B
EC = [?]
Answer:
8Step-by-step explanation:
NOT 5.
_____________________
Firstly note that the radius of the circle is 13 ( centre to D )
Thus the distance from B to the centre is 13
Thus B → E → centre is a right triangle and distance from centre to E (x) can be calculated using Pythagoras' identity, that is
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = = 5
The distance from the centre to C ( the radius ) is 13, thus
x + EC = 13, that is
5 + EC = 13 ( subtract 5 from both sides )
EC = 8
Answer:
The answer is 8
Step-by-step explanation:
Lara grows apples in her orchard and sells them at the weekly farmer's market. Each week, she sells the apples for a different price and records the number of apples sold. The scatter plict below
shows the price of one apple and the number of apples that were sold. A line of best fit for these data points, the equation y=-z+32, is also shown on the plot
Apples Number of Apples Sold
Need help with this geometry question.What is HK?
Answer:
Step-by-step explanation:
use a protractor if you have one or ask for one
The points (-1, 4) and (2, 9) lie on a line.
What is the slope of the line?
Answer:
\(\displaystyle m = \frac{5}{3}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: \(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)Step-by-step explanation:
Step 1: Define
Identify
Point (-1, 4)
Point (2, 9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: \(\displaystyle m = \frac{9 - 4}{2 + 1}\)[Order of Operations] Simplify: \(\displaystyle m = \frac{5}{3}\) Evaluate
[2- |-2/3 -2(-1/5)|] (-13)
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answer: the answer - 2/15
Step-by-step explanation: i took the test
The value of the expression [2- |-2/3 -2(-1/5)|] ÷ (-13) is -2/15
What is an expression?Numbers, symbols and operators grouped together that show the value of something.
Given that an expression [2- |-2/3 -2(-1/5)|] ÷ (-13)
[2- |-2/3 -2(-1/5)|] ÷ (-13)
= [2 - 4/15]/ (-13)
= 26/15*1/(-13)
= -2/15
Hence, The value of the expression [2- |-2/3 -2(-1/5)|] ÷ (-13) is -2/15
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Simplify the expression:
(10x2 -1 + 4x) + (3 + 5x2 - 4x)
Answer:
\( \boxed{\sf 15x^2 + 2} \)
Step-by-step explanation:
Simplify the expression:
\( \sf \implies(10 {x}^{2} - 1 + 4x) + (3 + 5 {x}^{2} - 4x)\)
Grouping like terms, 10x² + 5x² + 4 x - 4 x - 1 + 3 = (10 x² + 5x²) + (4 x - 4 x) + (-1 + 3):
\( \sf \implies (10 x^2 + 5 x^2) + (4 x - 4 x) + (-1 + 3)\)
10x² + 5x² = 15x²:
\( \sf \implies 15 x^2 + (4 x - 4 x) + (-1 + 3)\)
3 - 1 = 2:
\( \sf \implies 15 x^2 + (4 x - 4 x) + 2\)
4 x - 4 x = 0:
\( \sf \implies 15 x^2 + 2\)
Laura is walking quickly and finds that she travels 54 feet in a span of 12 seconds. Which of the following is the speed at which Laura is walking? (1) 4.5 feet per second
(2) 4.75 feet per second
(3) 5.25 feet per second
(4) 5.5 feet per second
Answer:
(1) 4.5 feet per second
Step-by-step explanation:
Given;
distance traveled by Laura, d = 54 feet
time to taken for Laura to cover this distance, t = 12 seconds
Laura's speed is given by the following equation;
speed = distance / time
Laura's speed = 54 ft / 12 s
Laura's speed = 4.5 feet per second
Therefore, the speed with which Laura is walking is 4.5 feet per second.
what is −2(x+6)=4x
x=
Answer:
x=-2
Step-by-step explanation:
Distribute, add 12 to both side, then simplify
Answer: -2
Let's solve your equation step-by-step.
−2(x+6)=4x:
Step 1: Simplify both sides of the equation.
−2(x + 6) = 4x
(−2)(x) + (−2)(6) = 4x (Distribute)
−2x + (−12) = 4x
−2x − 12 = 4x
Step 2: Subtract 4x from both sides.
−2x − 12 − 4x = 4x − 4x
−6x − 12 = 0
Step 3: Add 12 to both sides.
−6x − 12 + 12 = 0 + 12
−6x = 12
Step 4: Divide both sides by -6.
−6x/−6 = 12/−6
x = −2
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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1. If AACB AEDF, what is the measure of ZEFD.
Answer:
Step-by-step explanation:
110
Solve: 1/3x + 7 = 15
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!! CERTAIN ANSWERS AND I WILL MARK YOU AS BRAINIEST!!!! WISH YOU BEST OF LUCK HOPEFULLY ITS NOT TOO MUCH!
Answer:
1)
Minimum is a 4th Degree
2)
Positive; Even
3)
\(x=-4, -1\text{ Odd Multiplicity}\\x=3\text{ Even Multiplicity}\)
Step-by-step explanation:
Part 1)
The minimum degree of our function will be 4.
Looking at the graph, we know that the graph crosses the x-axis at -4 and -1. Since it crosses through the x-axis at these two points, these two factors must have an odd multiplicity.
So, it can be anything 1, 3, 5, 7, etc.
However, we will choose the lowest one, 1.
Next, we know that the graph bounces off at 3.
So, it must have an even multiplicity. In other words, 2, 4, 6, 8, etc.
We choose the lowest one, 2.
Therefore, the minimum degree of our function will be 1+1+2 or 4.
Part 2)
The degree of our polynomial is (and will always be) even. Therefore, both ends of the graph will go in the same direction.
Recall the simplest even polynomial, the parent quadratic function. When the leading coefficient is positive, both of the ends go straight up.
This applies to all polynomials with even degrees.
Therefore, since the arms of the graph is going straight up towards positive infinity, the leading coefficient of our graph must be positive.
Part 3)
This is similar to Part 1.
We can see that the graph touches the x-axis at -4, -3, and 1. So, the zeros of the function is: \(x=-4, -1, 3\)
We know that it passes through \(x=-4 \text{ and } x=-1\) . So, these two factors must have an odd multiplicity.
However, since the graph bounces off \(x=3\), this factor must have an even multiplicity.
And we're done!
Givin the triangle below which of the following equations correctly represents the relationship between a,b,c
The correct option is A. i.e., \(c^2 = a^2 + b^2 - 2ab cos (90)\)°
Given,
From the figure:
The triangle which of the following equations correctly represents the relationship between a ,b, c
Now, According to the question:
The relationship between the three sides of a triangle ABC is:
\(c^2 = a^2 + b^2 - 2ab cos (90)\)°
From the diagram,
The angle opposite to c is 90°
Thus, \(c^2 = a^2 + b^2 - 2ab cos (90)\)
Hence, The correct option is A. i.e., \(c^2 = a^2 + b^2 - 2ab cos (90)\)°
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share 560 in a ratio of 3 : 5 among two people, how much does each get
Step-by-step explanation:
Let the ratio constant be 'x'
Sum of the ratios=3x+5x=8x
First person gets:-
3/8 x 560 = 210
Second person gets:-
5/8 x 560 = 350
Using the same survey methodology: random sample of US residents between the ages of 18 to 75 who registered on the Crest website as a product, Crest wants to divide the research population into heterogeneous groups based on age and gender and then draw a random sample from each of the different groups. Based on this information, what type of sampling method would Crest use to conduct this survey
Answer:
Stratified sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.