The number of chickens at the start of 2024 is given as follows:
72.9 billion.
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for this problem are given as follows:
a = (1 - 0.77) x 40 = 9.2 billion.b = 1.23 -> increases by 23% every year.Hence the function is given as follows:
\(y = 9.2(1.23)^x\)
2024 is ten years after 2014, hence the population is given as follows:
\(y = 9.2(1.23)^{10}\)
y = 72.9 billion.
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can you find values of x and y
Answer:
For the second figure
X=10
Y=30
Step-by-step explanation:
3x=(5x-20).... Alternative interior angles
3x=5x-20
20=5x-3x
20=2x
x=10
2y+4y= 180
6y=180
Y=30
A concrete pillar has the shape of a cylinder. It has a radius of 4 meters and a height of 7 meters. If concrete costs $94 per cubic meter, how much did the concrete cost for the pillar? Use 3.14 for π , and do not round your answer.
Answer:
C = $33,057.92
The cost of the pillar is $33,057.92
Step-by-step explanation:
Given;
Radius of the concrete r = 4 m
Height h = 7 m
Cost per volume R = $94 per cubic meter
π = 3.14
The volume of the cylinder shape concrete is;
V = πr^2 h
Substituting the given values;
V = 3.14×4^2 × 7
V = 351.68 m^3
The cost of the pillar is C;
C = Volume × cost per volume
C = V × R
C = 351.68 m^3 × $94 per cubic meter
C = $33,057.92
The cost of the pillar is $33,057.92
shala bought a pen on sale. she saved 17 percent of the original price of $29. about how much money did she save?
If she saved 17% of the original price of $29, then the amount of money that she saved is $4.93
The original price of the pen = $29
The percentage of amount that she saved = 17%
The amount money that she saved = The original price of the pen × The percentage of amount that she saved
Substitute the values in the equation
The amount money that she saved = 29 × 17%
Convert the percentage to fraction
= 29 × 17 /100
Divide the terms
= 29 × 0.17
Multiply the terms
= $4.93
Hence, if she saved 17% of the original price of $29, then the amount of money that she saved is $4.93
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Simplify the expression: 5 + -7g + -6g + -6g
Answer:
-19g+5
Step-by-step explanation:
Group the like terms
Add all the g together which is equal to -19g the add the +
Answer=-19g+5
16 + ((15 + 5) + 32)
Answer:
68
Step-by-step explanation:
16 + ((15 + 5) + 32)
= 16 + (20+32)
= 16 + 52
= 68
* Use BODMAS to solve the sum
A small theater sold 72 tickets for a play. The ratio of adult tickets to child tickets was 4:1. The ratio of adult tickets to senior tickets was 4:3. How many of each type of ticket were sold?
Answer:
Adult 36
Children 9
senior 27
Step-by-step explanation:
We have 3 types of tickets as seen from the question;
Adult, children and seniors tickets.
Now, looking at the question critically,
Since the ratio of adults to children and senior citizens stands at 4: a specific value, we can then conclude that the ratio of tickets sold is 4:1:3
where 1 and 3 represents the ratio for the children and seniors respectively
So let’s calculate the individual ratio now.
For the total, we have 4 + 1 + 3 = 8
Thus, for the adults, we have 4/8 * 72 = 36
For the children, we have 1/8 * 72 = 9
For the seniors, we have 3/8 * 72 = 27
783 times 42 fvvvvvdskjgfgehjck random letters needs to be 20 long
Answer:
cv 454546
Step-by-step explanation:
ZCCVZv dD
find a linear equation satisfying the condition, if possible passes through (−2,1) and (0,5)
A linear equation passing through (−2,1) and (0,5) is y = 2x + 5.
Given two points, (-2,1) and (0,5) on a coordinate plane. The linear equation for the line passing through two points (x₁, y₁) and (x₂, y₂) can be represented using the slope-intercept form given as y-y₁= m(x-x₁), where m is the slope of the line.
Using the two given points to calculate the slope of the line; m = (y₂ - y₁)/(x₂ - x₁)= (5 - 1)/(0 - (-2))= 4/2= 2. Therefore, the slope of the line is 2. Using the slope-intercept form of a line equation; y = mx + b, where m is the slope and b is the y-intercept and substitute slope and either point (0,5) to calculate b.
y = mx + by = 2x + b => 5 = 2(0) + bb = 5
Thus, the linear equation passing through (−2,1) and (0,5) is y = 2x + 5.
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Let Ƒ(2) Be A Function Defined By Ƒ(X) = { Cos(T2) Kx F(X) X ≥1 For F(X) To Be A Continuous At X = 1, What Should Be The Value Of K?
To ensure that the function ƒ(x) is continuous at x = 1, we need to evaluate the limit of ƒ(x) as x approaches 1 from the right side and make sure it is equal to the value of ƒ(1).
The given function ƒ(x) is defined as:
ƒ(x) = { cos(t^2) + kx, x ≥ 1
To find the limit as x approaches 1 from the right side, we substitute x = 1 into the function:
lim(x->1+) ƒ(x) = lim(x->1+) (cos(t^2) + kx)
= cos(t^2) + k(1)
Since we want the function to be continuous at x = 1, the limit should be equal to the value of ƒ(1). In other words, we need:
lim(x->1+) ƒ(x) = ƒ(1)
Substituting x = 1 into the function:
cos(t^2) + k(1) = ƒ(1)
To satisfy this condition, we set k = -cos(t^2), where t is a constant.
Therefore, the value of k that makes the function ƒ(x) continuous at x = 1 is k = -cos(t^2).
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A hot air balloon starts at an elevation of 300 feet. Then, it ascends at a rate of 900 feet per minute.
The height of the hot air ballon can be modeled with the linear equation:
y = 300 + 900*x
How to find an equation that describes the height of the hot air ballon?
Remember that a linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Let's define the variables that we need to use for this problem:
y = height of the hot air balloon.
x = time in minutes.
We know that initially, the height of the balloon is at a height of 300 feet, and then it ascends at a constant rate of 900 feet per minute,
So after x minutes, the height will be modeled by the linear equation:
y = 300 + 900*x
Where the y-intercept is 300, the initial height, and the slope is 900, the rate of change.
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PLEASE HELP I KNOW ITS EASY BUT I FORGOT!!!! PLEASE HELP!! Write -3/8 as a decimal.
Answer:
-0.375
Step-by-step explanation:
You can write fractions as equations and solve for a decimal.
-3/8 = -3 ÷ 8
-3 ÷ 8 = -0.375
Answer:
I got you bro
Step-by-step explanation:
-0.38
2.1.28
Write the equation of the line that passes through the given points.
(0.4) and (-2, -3)
The equation of the line is
(Simplify your answer. Type your answer in slope-intercept form. Use integ
What’s the answer
Answer:
The equation of the line is y - 4 = 7/2 ( x - 0 )
Step-by-step explanation:
If you need it in slope intercept form (y=mx+b)
y=7/2x+4
What happens to the t distribution as degrees of freedom increase? question 6 options: it approaches the uniform disribution it approaches the normal disribution it approaches the exponential disribution it approaches the binomial disribution
As the degrees of freedom increase, the t distribution b. approaches the normal distribution, which is a key assumption in many statistical tests. Understanding this relationship is important for making accurate statistical inferences and drawing valid conclusions from data.
The t distribution is a probability distribution that is commonly used in hypothesis testing. It is similar to the normal distribution but with heavier tails. As the degrees of freedom increase, the t distribution approaches the normal distribution. This means that the shape of the t distribution becomes more and more like the normal distribution as the sample size increases.
The reason for this is that the t distribution is based on the sample mean, which becomes more normally distributed as the sample size increases due to the central limit theorem. As the sample size increases, the standard error of the mean decreases, and the t distribution becomes less spread out and more peaked. This is why we use the t distribution instead of the normal distribution when we have a small sample size.
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−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
Note: Each horizontal or vertical division represents one unit.
Answer:
( x, y ) = ( 1, 1 )
Step-by-step explanation:
one unit means 1.
Horizontal => x = 1
Vertical => y = 1
Explain how you can use a straightedge and a compass to construct an angle that is both congruent.
The construction of two congruent angles using a scale and compass can be done by applying the prerequisite knowledge of construction.
What is an angle?
A geometrical figure formed by using two rays, which are known as the sides of angle. These sides share a common vertex. Angle can be of various types including acute, obtuse, reflex, right, etc.
Explanation of constructing an angle using a scale and compass that is both congruent
Start drawing a line with the scale
Then, using this line or edge of the given angle to construct another corner, with the same vertex, let's call it O
Mark an arc across the sides of the corner using compass
Name the points as A and B, where the arc intersects and extend that arc beyond B
Open the compass to length of AB by setting it to the point B, and then mark an arc that intersects the first arc at point C.
Forthwith, wwe have two congruent components, AB = BC.
As the distance is OA = OB = OC, therefore, ∠AOB and ∠BOC are congruent.
Hence, this is the way of constructing congruent angles using a scale and a compass.
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Is 1,850 disvisbled by 2?
Answer:
Yes
Step-by-step explanation:
If a number end in a positive number it will be divisible by 2.
1850÷2=925
Abigail and Spencer calculate the slope of the line between the points (3,-1) and (5,4) in different ways. Abigail calculates the slope by dividing -1 - 4 with 3 - 5. Spencer divides 4 - (-1) by 5 - 3. When they check their work with their mutual friend Lauren, she says that they are both wrong and shows them her work. She calculates -1 - 4 and divides by 5 - 3. Who is correct among these three friends? Who is incorrect? Why?
Answer:
Spencer
Step-by-step explanation:
The points are (3,-1) and (5,4) to find slope, you subtract the two y and x points and divide or put it into a fraction.
The equation for the numerator would be 4-(-1). The negatives cancel out, so the equation is actually 4+1, which is 5.
The equation for the denominator is 5-3, which is 2.
The slope would be 5/2, and Spencer did that work, so Spencer is correct.
The slope will be 5/2, and Spencer did that work, so Spencer is correct.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
Given the points;
(3,-1) and (5,4)
x1 = 3 ; x2 = 5 ; y1 = - 1 ; y2 = 4
Spencer is right because, the slope of a line is obtained thus ;
Slope = change in y / change in x
Slope = (y2 - y1) / (x2 - x1)
Slope = (4 - (-1)) / (5 - 3)
Slope = (4 + 1) / 2
Slope = 5 / 2
Hence, slope = 2.5
The slope will be 5/2, and Spencer did that work, so Spencer is correct.
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which of the points shown below are on the line given by the equation y=3x?
check all that apply
a. point a (1,3)
b. point b (3,1)
c. point c (3,-1)
d. point d (-1,-3)
The points (1,3) and (-1,-3) are on the line given by the given equation.
Linear Equation
An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=6x+7. Where:
m= the slope.
b= the constant term that represents the y-intercept.
For the given example: m=6 and b=7.
The question gives the equation y=3x from the standard form equation, you can identify that: m=3 and b=0.
For solving the question, you should check if the given coordinates comply with the equation y=3x. See below.
Coordinate (1,3) - Here x=1 and y=3, then you should replace x with 1. After that, check that the result for y is equal to the given y-coordinate.y=3*1
y=3
Therefore, the coordinate (1,3) is on the line given by the equation y=3x.
Coordinate (3,1) - Here x=3 and y=1, then you should replace x with 3. After that, check that the result for y is equal to the given y-coordinate. y=3*3 y=9Therefore, the coordinate (3,1) is not on the line given by the equation y=3x.Coordinate (3,-1) - Here x=3 and y=-1, then you should replace x with 3. After that, check that the result for y is equal to the given y-coordinate. y=3*3 y=9Therefore, the coordinate (3,-1) is not on the line given by the equation y=3x.Coordinate (-1,-3) - Here x= -1 and y=-3, then you should replace x with 3. After that, check that the result for y is equal to the given y-coordinate. y=3*(-1) y=-3Therefore, the coordinate (3,-1) is on the line given by the equation y=3x.
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please help me ♀️ im a tad bit slow-
9514 1404 393
Answer:
Michelle$5Step-by-step explanation:
The dollar value of the 20% coupon will increase if the discount is from a larger amount. Applying the $25 coupon first reduces the amount that the 20% applies to, so reduces the dollar value of the 20% coupon.
Michelle used the 20% coupon first, so its value was 20%($100) = $20.
Natasha used the $25 coupon first, so the value of the 20% coupon was ...
20%($100 -25) = 20%(%75) = $15.
Michelle paid $20 -15 = $5 less.
Which numbers have line symmetry?
2, 3, 4 7,8,9
Given u = 3i − 8j and v = −4i + 8j, what is u ⋅ v?
Answer:
-12i - 64j
Step-by-step explanation:
What is the range of the function graphed below?
Time limit please help.
Answer:
-3 less than or equal to y < 3
Step-by-step explanation:
9.43
9.43
15
15
16
© 2018 StrongMind. Created using GeoGebra.
What is the area, in square units of the composite figure?
Enter your answer as a number, like this: 42
Answer:
280
Step-by-step explanation:
first, find the area of the triangle
formula: 1/2 (base × height)
so the area of the triangle is
= 1/2 (16×5)
= 1/2 (80)
= 40
then, find the area of the rectangle
formula: length × breadth
the area of the rectangle is
= 15 × 16
= 240
the area of the composite figure is the sum of the areas of the triangle and rectangle
= 40 + 240
= 280
Solve the system of equations by the substitution method.
y=5x+8 y=8x+9
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
whichever one corresponds with the answers you have will be right.
Solve system of equations by the substitution method.
Chris has $3.85 in dimes and quarters. There are 25 coins in all. How many of each type of coin does he have?
Solving a system of equations we can see that he has 9 quarters and 16 dimes.
How to solve the system of equations?Let's define the variables:
x = number of dimes
y = number of quarters.
There are 25 coins, so:
x + y = 25
The value is $3.85, so:
x*0.10 + y*0.25 = 3.85
So the system of equations is:
x + y = 25
x*0.10 + y*0.25 = 3.85
We can isolate x on the first equation to get:
x = 25 - y
Replacing that in the other one we get:
(25 -y)*0.10 + y*0.25 = 3.85
2.5 + y*0.15 = 3.85
y = (3.85 - 2.5)/0.15
y = 9
Then the other 16 coins are dimes.
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whoever solves correctly gets brainliest The number of miles will be x. Next, we’ll have the inequality 8x+2<=10 then we will solve the inequality 8x+2-2<=10-2 and simplify 8x<=8. divide 8 both sides x<=1
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Answer:
Step-by-step explanation:
Winter Wonderland charges children $0.50 per ride down the sledding hill plus an entrance fee. Todd sled down the hill 16 times and paid $18 for his time at winter wonderland.
What is the equation in y=mx+b form?
The equation of the amount to be paid by anyone using the ride in slope intercept form is; y = 0.5x + 10
How to write an equation in slope intercept form?The general form of the equation of a Line in slope intercept form is;
y = mx + b
where;
m is slope
b is y-intercept
Now, we are told that;
Amount charge by Winter Wonderland per child = $0.50
We are told that there is a separate entrance fee.
Amount of times todd sled down the hill = 16 times
Amount paid by todd = $18
Thus, using the slope intercept form, we have;
18 = 0.5(16) + b
18 = 8 + b
b = 10
Thus, the equation of this amount to be paid in slope intercept form is;
y = 0.5x + 10
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Tammy wants to run at least 10 miles per week.
So far this week, she ran 4.5 miles.
Write and solve an inequality to determine how many more miles tammy must run this week to reach her goal.
Answer:
Let x be the number of additional miles Tammy needs to run this week to reach her goal of at least 10 miles per week.
To determine the inequality, we can start with the given information and use the inequality symbol for "greater than or equal to" (≥):
4.5 + x ≥ 10
This inequality states that the sum of the distance Tammy has already run this week (4.5 miles) and the additional distance she still needs to run (x miles) must be greater than or equal to 10 miles in total for her to reach her goal.
To solve for x, we can start by subtracting 4.5 from both sides of the inequality:
x ≥ 10 - 4.5
Simplifying, we get:
x ≥ 5.5
Therefore, Tammy must run at least 5.5 more miles this week to reach her goal of at least 10 miles per week.
Step-by-step explanation:
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Which verbal expression best represents the algebraic expression 3n-4n ?
A
three less than four times a number
B
four less than three times a number
C
three times four subtracted from a number
D
four times the difference of a number and three
Answer:
B. four less than three times a number
What is the sum of
7x/x2-4 and 2/x+2
Answer:
\(\frac{9x - 4}{x^2 - 4}\)
Step-by-step explanation:
Did the iReady math diagnostic.