Answer:
6/5
Step-by-step explanation:
5x + 14 = 20
Subtract 14 from 20
5x = 6
Divide both sides by 5
x = 6/5
The functions each model the number of students S is that played an online video game d days after each video game was released. S^1(d)= 0.45d^3-3d^2 + 4.75d +16
S^2(d)=0.09d^3-1.31d^2 +7.25d +18
Use a graphing calculator to determine the number of days after the games release that were played by the same number of students.
0.36d³ - 4.31d² - 2.5d - 2 = 0 is the function and the graph of the function is given below -
What is function?function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable).
y = x² is an illustration of this. Any input for x yields a single output for y. Because x represents the input value, one can state that y is a function of x.
To determine the number of days after the game's release that was played by the same number of students for the two functions S^1(d) and S^2(d).
Here, the functions each model the number of students S.
played an online video game d days.
We need to set the two functions equal to each other and solve for d.
S^1(d) = S^2(d)
or, 0.45d³ - 3d² + 4.75d + 16 = 0.09d³ - 1.31d² + 7.25d + 18
Subtracting 0.09d³ - 1.31d² + 7.25d + 18 from both sides we get:
or, 0.36d³ - 4.31d² - 2.5d - 2 = 0
So, the graph becomes:
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Please I need help also please explain your answer and show the work
1. The degree form of 4π/9 is approximately 228.6°.
2. A positive coterminal angle to -123° that is between 500° and 750° is 677°. A negative coterminal angle to -123° that is between -300° and -500° is -243°.
3. The terminal side of 215° lies in the second quadrant.
4. The radius of the circle is approximately 15.7.
1. The degree form of 4π/9 is approximately 228.6°. To express an angle in degrees, we multiply its radian measure by 180°/π.
2. A positive coterminal angle to -123° that is between 500° and 750° is 677°. A negative coterminal angle to -123° that is between -300° and -500° is -243°. To find a coterminal angle, we can add or subtract 360° as many times as necessary to bring the angle into the desired range.
3.
In the standard position, an angle is measured counterclockwise from the positive x-axis. The positive x-axis corresponds to the 0° angle, the positive y-axis corresponds to the 90° angle, the negative x-axis corresponds to the 180° angle, and the negative y-axis corresponds to the 270° angle. Angles in the first quadrant are between 0° and 90°, angles in the second quadrant are between 90° and 180°, angles in the third quadrant are between 180° and 270°, and angles in the fourth quadrant are between 270° and 360°.
So, the terminal side of 215° lies in the second quadrant.
4.
We can set up the equation l = Cθ/2π and solve for r.
Substituting the given values, we have 56π = (2πr)(120°/180°), which simplifies to r = 56π/(2π) = 28.
Dividing this value by 2, we get the radius of the circle as approximately 15.7.
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Below is a diagram of a candy bar that is being shared between two people. Cut the candy bar into two pieces, A and B, so that A gets 3/5 times as much as B. What fraction of the bar does B get?
Answer:
B gets 5/13 of the candy bar.
Step-by-step explanation:
Given that a candy bar is being shared between two people, A and B, and A gets 3/5 times as much as B, to determine what fraction of the bar does B get the following calculation must be performed:
3/5 = 0.6
1.6 + 1 = 100
1 = X
2.6 = 100
1 = X
100 / 2.6 = X
38.46 = X
38.46% = 0.3846 = 5/13
Therefore, B gets 5/13 of the candy bar.
Guys, how much triangles this picture has?
Answer:
6 for the number of triangles or 7 because all the triangles form a hole triangle
Step-by-step explanation:
Answer: The answer is 6. If you add the triangle that all the small triangles are within, then you would get 7.
The value of an investment property after t years can be found using the formula V =C (1 + r)^2, where V is the current
value of the property, C is the original investment,
and r is the annual rate of appreciation.
a. Solve the formula for r.
b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same
rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.
Answer:
0.871
Step-by-step explanation:
a. Solve the formula for r.
V = C (1 + r)²
dividing both sides by C, we have
V/C = (1 + r)²
(1 + r)² = V/C
taking square root of both sides, we have
√(1 + r)² = √(V/C)
1 + r = √(V/C)
r = √(V/C) - 1
b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same
rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.
Since r = √(V/C) - 1 and V = $ 175,000 and C = $ 50,000
Substituting the values of the variables into the equation for r, we have
r = √($ 175,000/$ 50,000) - 1
r = √3.5 - 1
r = 1.871 - 1
r = 0.8708
r ≅ 0.871
The college plans to use part of its land for a bicycle park.
The space for the bicycle park is rectangular 18 m by 4.8 m.
A rectangular space is needed for each bicycle.
0.6 m
Diagram not
accurately drawn
2 m
The builders think that 90 bicycles can fit in the bicycle park.
Are the builders correct?
Show a check of your working.
(4)
Answer:
No, only 72 bikes can fit
Step-by-step explanation:
18 x 4.8 is 86.4
2 x .6 is 1.2
86.4 divided by 1.2 is 72
there for only 72 bikes can fit
"describe the domain and range for f(x)=3^x-1"
Answer:
Domain: All real numbers
Range: All real numbers greater than or equal to -1
Does:
the difference between a number and five
Translate to
n - 5
or
5 - n
PLEASE HELP!
Answer:
n - 5
Step-by-step explanation:
have a good day :)
Answer:
n-5
Step-by-step explanation:
first stated should be at first, and second stated will be at second.
plz mark as brainliest
|x-5|=7 What is x? PLZ help I'll give Brainliest.
Answer:
x=12
Step-by-step explanation:
7+5=12
brainliest?
Neil put on a blindfold and picked 72 jelly beans from a jar.
Is this sample of the jelly beans in the jar likely to be representative?
Yes or no?
A block of wood has the shape of a triangular prism. The bases
are right triangles. Find its surface area.
4.5 in.
6 in
16 in
75 in.
The surface area is in.2.
Answer:
225 in.²
Step-by-step explanation:
Surface area of triangular prism = bh + (s1 + s2 + s3)*L
Where,
b = 4.5 in.
h = 6 in.
s1 = 7.5 in.
s2 = 4.5 in.
s3 = 6 in.
L = 11 in.
Plug in the values
Surface area = 4.5*6 + (7.5 + 4.5 + 6)*11
Surface area = 27 + 198 = 225 in.²
Help me please help ASAP please I will mark brainliest
Answer:
124 units squared
Step-by-step explanation:
A(parallelogram) = 8 x 10 = 80
A(semicircle) = πr²/2
however, we need to use the Pythagorean Theorem to find 'r'
r² + 6² = 8²
r² = 84-36
r² = 28
r = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{7}[/tex] or 2[tex]\sqrt{7}[/tex]
A = π(2√7)² / 2
A = 4·7π / 2
A = 14π which is approx 44
Total Area = 44 + 80 = 124
Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?
Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and
Answer:
Step-by-step explanation:
The 4 sides of a square are usually the same ;
Hence, each side is called the side length ; from the diagram attached :
Side length of square 4 = a + b
Side length of square 5 = a + b
If the side lengths are equal ; that is (a + b) ; the the area which is the square of the side length will also be the same.
Use the defined variables for the verbal model to write an equation in slope-intercept form that relates the variables.
$2/pound × Pounds of peaches + $1.50/pound × pounds of apples = $15
Let x represent the number of pound of peaches.
Let y represent the number of pounds of apples.
An equation is y = ___
Graph the equation.
An equation is y = -4x/3 + 10.
A graph of the equation is shown in the image attached below.
How to write an equation to model this situation?In order to write and graphically solve an equation that model this situation, we would assign variables to the number of pound of peaches and number of pounds of apples respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of pound of peaches.Let the variable y represent the number of pounds of apples.Next, we would translate the word problem into an algebraic equation as follows;
$2/pound × Pounds of peaches = 2x.
$1.50/pound × pounds of apples = 1.50y
Combining the two expressions above, we have the following:
2x + 1.50y = 15
Making y the subject of formula, we have:
1.50y = 15 - 2x
y = (15 - 2x)/1.50
y = -4x/3 + 10
Therefore, an equation in slope-intercept form that relates the variables is y = -4x/3 + 10.
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Helppp asp !! A system of equations is shown x+y=7. 2x-y=-1. What is the solution to the system of equations
Combination of variables x+y=7. 2x-y=-1 has (5/2, 2) as its solution. For each value of the variables, an identity is true.
what is equations ?Its simplest form is thought to be the number's smallest equivalent fraction. How to determine the simplest form. Look for shared factors in the denominator and numerator. A fractional number can be checked to discover if it is a prime number. A statement having two quadrilateral and an equal sign in the middle is referred to as a mathematical equation. Every variable's degrees are listed in descending order in the general form of any equation. The formula for a linear equation is x + b = 0. The general form of a two-variable linear equation is an x + b y + c = 0. (or something similar). Either contingent equations or identities are categories for equations. An identity holds true for whatever value of the variables.
given
x+y=7
2x-y=-1
8x=20
x= 5/2
-4y = -8
y = 2
Combination of variables x+y=7. 2x-y=-1 has (5/2, 2) as its solution. For each value of the variables, an identity is true.
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Median of 61, 53, 63, 63
how much will a person pay for 1.5 pounds of bananas at a price of .95 per pound
Answer:
1.425
Step-by-step explanation:
when 1pound is 0.95
then 1.5should be multiplied by 0.95
Help PLEASE IN A RUSH!
Which graph represents this system?
y = 3. x + y = 4.
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).
On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (4, 0).
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (2, 6).
On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (3, 7).
Answer:
first option
Step-by-step explanation:
y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3
x + y = 4 ← is the equation of a straight line
find the x and y- intercepts
to find the y- intercept let x = 0 in the equation and solve for y
0 + y = 4 , that is
y = 4 ⇒ (0, 4 ) is a point on line
to find the x- intercept let y = 0 in the equation and solve for x
x + 0 = 4 , that is
x = 4 ⇒ (4, 0 ) is a point on the line
the graph representing the system is
a horizontal line y = 3 and another line passing through (0, 4 ) and (4, 0 )
What is the range for the following numbers?
5,1,12,3,4,2,10
Answer: 11......................................................................................
The perimeter of a rectangle is 96cm its shortest side has a length of 5cm state the length of the longest side
Answer:
43cm
Step-by-step explanation:
96-10 (5 x2 sides)=86
86/2 sides=43 longest side
The length of the longest side is 43 cm.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Perimeter of a rectangle = 2 (length + width)
Perimeter = 96 cm
Width = 5 cm
Length = x
Now,
96 = 2 (x + 5)
48 = x + 5
x = 48 - 5
x = 43
Thus,
The longest side is 43 cm.
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Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand. How many acorns does frank have in the other hand?
The number of acorns that Frank have in the other hand will be 14.
How to calculate the word problem?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real.life scenario given.
Since Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand.
When Frank has 5 on one hand, the number of acorns that Frank have in the other hand will be:
= 10 + 9 - 5
= 14
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Complete question
Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand. Frank has 5 on one hand. How many acorns does frank have in the other hand
3 times a number minus 4, all multiplied by 18 equals 48 times the number. Find the number
Answer:
The number is 12.
Step-by-step explanation:
Suppose the number is x. So,
18(3x-4)=48x
54x-72=48x
54x-48x=72
6x=72
x=12
[tex]F(x)=3x^{2} +4x-6G(x) =6x^{2} -5x^{2} -2[/tex]
Answer:
74
Step-by-step explanation:
which is the highest 4,16,77 and lowest
Answer:
highest 77 and lowest is 4
Write the missing number.
(a) 10 more than 23 is
75 POINTS!!! PLEASE ANSWERl
The average size of a pair of women's shoes sold at a shoe store is size 8, with a standard deviation of 1.5
sizes. If the sizes are normally distributed, what is the percentile rank of at least a size 9. Go to z-table.com
Answer:
75%Step-by-step explanation:
Find z-score:
z = (9 - 8)/1.5 ≈ 0.67Get the rank from the z-table:
0.7486 ≈ 75%The table shows input and output values for three functions.
Use the drop-down menus to complete each statement.
x-intercepts exist in the function(s)
.
y-intercepts exist in the function(s)
.
The function
has the lowest minimum.
The function
has the greatest maximum.
Answer:
x-intercepts exist in the 3 functions
y-intercepts exist in the 3 functions
The function h(x) has the lowest minimum.
The function f(x) has the greatest maximum.
Step-by-step explanation:
Given
The attached table
Solving (a): x-intercepts
A function has x intercept if its y value equals 0.
From the table, we have:
[tex]f(2)=0[/tex]
[tex]g(4) = 0[/tex]
[tex]h(2) = 0[/tex]
All functions have x intercept
Solving (b): y-intercepts
A function has y intercept if its x value equals 0.
From the table, we have:
[tex]x = 0[/tex]
This applies to all functions in the table;
Hence, all functions have y intercept
Solving (c): Lowest minimum
The minimum of each function is:
[tex]f(x) = -12[/tex]
[tex]g(x) = -4[/tex]
[tex]h(x) = -60[/tex]
The lowest minimum is: h(x) because:
[tex]h(x) <f(x) < g(x)[/tex]
i.e.
[tex]-60 < -12 < -4[/tex]
Solving (d): Greatest maximum
The maximum of each function is:
[tex]f(x) = 12[/tex]
[tex]g(x) = 2[/tex]
[tex]h(x) = 0[/tex]
The greatest maximum is: f(x) because:
[tex]f(x) > g(x) > h(x)[/tex]
i.e.
[tex]12 > 2 > 0[/tex]
Answer:
1. f(x) g(x) h(x)
2. f(x) g(x) h(x)
3. h(x)
4. f(x)
Step-by-step explanation:
I guessed and it was correct.
Pls help! Step by step
Answer:
x = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
using the cosine ratio in the right triangle and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 4[tex]\sqrt{3}[/tex] ( exact value )
Step-by-step explanation:
SOHCAHTOA
CAH-
Cosine●= adj/hyp
cos30= y/8
0.8660=y/8
Cross multiply
0.8660×8=y
y=8×0.8660
y=6.928
Solve for x.
*4x-8)
3x + 3
A X= [?]
Answer:
11
Step-by-step explanation:
Angles 3x + 3 and 4x - 8 are adjacent angles.
Adjacent angles are equal.
4x - 8 = 3x + 3
4x - 3x = 3 + 8
x = 11
Show that 100 divided by 20 is 5, using at least five daily life examples.
Answer:
true
Explanation
1. if a man has a hundred apples and like to share between 20 men. this has to be equal.
5 to 1man.