Answer:
y = 2.5x +300400 millionStep-by-step explanation:
Let y represent the population in millions, and x represent the number of years after 2010.
Then for x=0, y = 300. The rate of change is given as 2.5 million per year, so a suitable formula is ...
y = 300 +2.5x
Then in 2050, 40 years after 2010, the population is expected to be ...
y = 300 +2.5(40) = 400 . . . million
solve for x. 2x +5=33
Answer:
x = 14
Step-by-step explanation:
2x +5=33
Subtract 5 from each side
2x+5-5 = 33-5
2x = 28
Divide by 2
2x/2 =28/2
x = 14
Help asap! Please! A 40 cm tomato plant cast a 25cm shadow. How tall is the corn stalk if it's shadow is 280cm long?
Answer:
448
Step-by-step explanation:
This is a proportion question. Keep the heights on one side of the proportion and the shadow length on the other.
height ratio shadow ratio
40 cm / x = 25 / 280 Cross multiply
25x = 40 * 280 Combine
25x = 11200 Divide by 25
x = 11200/25
x = 448 cm
The height of the corn plant is 448 cm
PLEASE HELP! NO LINKS!!
Answer:
69 slices
Step-by-step explanation:
3 5/6 = 3 15/18 = 69/18
if each slice is 1/18, then 69 slices
Based on the graph shown, which features are correctly stated?
Answer:
A, B, & C.
that's features that correctly stated.
How many pairs of (not necessarily positive) integers satisfy the equation $2xy = 6x + 7y$?
There are four pairs of (not necessarily positive) integers that satisfy the equation 2xy = 6x + 7y. These pairs are: (24, 8), (4, 28), (24, 8), and (4, 28).
How to determine pairs of integers in equation?For an equation to determine the number of pairs of (not necessarily positive) integers that satisfy the equation 2xy = 6x + 7y, we can rearrange the equation as follows:
2xy - 6x - 7y = 0
We can apply the Simon's Favorite Factoring Trick by adding a constant term on both sides:
2xy - 6x - 7y + 42 = 42
Now, we can rewrite the left side of the equation by factoring:
2xy - 6x - 7y + 42 = 2(x - 3)(y - 7) = 42.
Next, we can find the factors of 42 to determine the possible values for (x - 3) and (y - 7):
42 = 1 × 42 = 2 × 21 = 3 ×14 = 6 × 7
Since we have two sets of factors, we can have two possible pairs of (x - 3) and (y - 7) for each factorization.
For the factorization 42 = 1 × 42, we have:
2(x - 3)(y - 7) = 1 × 42,
(x - 3)(y - 7) = \(\frac{1}{2}\) × 42,
(x - 3)(y - 7) = 21.
This gives us two pairs: (x - 3) = 21and (y - 7) = 1 or (x - 3) = 1 and (y - 7) = 21. Solving for x and y separately, we find the pairs (24, 8) and (4, 28).
For the factorization 42 = 2 × 21, we have:
2(x - 3)(y - 7) = 2 × 21,
(x - 3)(y - 7) = 21.
Again, we have two pairs: (x - 3) = 21 and (y - 7) = 1or (x - 3) = 1 and (y - 7) = 21. This gives us two more pairs: (24, 8) and (4, 28), which are the same as the pairs obtained in the previous factorization.
Finally, for the factorization 42 = 3 × 14 and 42 = 6 × 7, we obtain the same pairs (24, 8) and (4, 28) as before.
Therefore, in total, there are four pairs of (not necessarily positive) integers that satisfy the equation 2xy = 6x + 7y. These pairs are: (24, 8), (4, 28), (24, 8), and (4, 28).
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HELPPPPPPPPPPPPPPPPP
Answer:
I assume you are finding for z so
z=
Step-by-step explanation:
34+66 = -32+z+32
100 = -32+z+32
132 = z+32
100 = z
z = 100
What is у - 0.1y =???
Answer:
0.9y
Step-by-step explanation:
Answer:
its not a complete problem
Step-by-step explanation:
expand and simplify x(x-4)(x-1)
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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Explain the method applied for determining the density of a solid (Regular and inregular) and liquid.
The method applied for determining the density of a solid (regular and irregular) and a liquid is based on the concept of mass and volume.
For solids (regular and irregular):
Determining the mass: The mass of the solid can be measured using a balance or scale. The unit of mass is typically grams (g) or kilograms (kg).
Determining the volume:
Regular solids: The volume of regular solids, such as cubes or rectangular prisms, can be calculated using their geometric formulas. For example, the volume of a cube is calculated by cubing the length of one of its sides: Volume = side length^3.
Irregular solids: The volume of irregular solids can be determined using various methods such as water displacement. The solid is immersed in a known volume of liquid (e.g., water), and the increase in the volume of the liquid is measured. This increase represents the volume of the solid.
Calculating the density: The density of a solid is calculated by dividing its mass by its volume. The unit of density is typically grams per cubic centimeter (g/cm^3) or kilograms per cubic meter (kg/m^3).
For liquids:
Determining the mass: Similar to solids, the mass of the liquid can be measured using a balance or scale.
Determining the volume: The volume of a liquid can be measured directly using a graduated cylinder or other volumetric measuring devices. The unit of volume is typically milliliters (mL) or liters (L).
Calculating the density: The density of a liquid is calculated by dividing its mass by its volume. The unit of density is typically grams per milliliter (g/mL) or kilograms per liter (kg/L).
The method for determining the density of a solid (regular and irregular) involves measuring the mass and volume of the solid and calculating the density by dividing the mass by the volume. For liquids, the density is determined similarly by measuring the mass and volume.
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The following is a conversion table for hours and minutes. Which numbers
belong in the hours column?
Hours
Minutes
120
180
240
A
1, 2, 3
B
1, 2,4
с
2, 3, 4
D 2,5,6
Answer:
its B
Step-by-step explanation:
its b becuase
Determine the average rate of return for a project that is
estimated to yield total income of $382,000 over four years, cost
$695,000, and has a $69,000 residual value.
_ %
The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .
Here's how to solve for the average rate of return:
Total income = $382,000
Residual value = $69,000
Total cost = $695,000
Total profit = Total income + Residual value - Total cost
Total profit = $382,000 + $69,000 - $695,000
Total profit = -$244,000
The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.
Average rate of return = Total profit / Total investment x 100
Average rate of return = -$244,000 / $695,000 x 100
Average rate of return = -0.3518 x 100
Average rate of return = -35.18%
Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.
Average rate of return = Absolute value of (-35.18%)
Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.
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Stacy spent £12 on ingredients for bread.
She made 18 loaves and sold them for £1.10 each.
Calculate her percentage profit.
Answer:
39.4 or 40 % depending on which place you round it to
Step-by-step explanation:
18 * 1.10= 19.8
(19.8 - 12) / 19.8 = 0.39393939...
so 39.4 or 40 % depending on which place you round it to
How are the properties of exponents used when dividing a polynomial by a monomial?
Answer:
a couple different obes
Step-by-step explanation:
there are five
90% as a fraction. 3/100. 9/100. 90/100
Answer:
90/100
Step-by-step explanation:
percentages are fractions out of 100
Answer:
90/100
Step-by-step explanation:
90/100 is the same as 0.9, which is the same thing as 90%!
Hope it helps!
bicycle rental company charges a $5 flat fee plus $1.20 per hour. Select the expression that represents renting a bicycle for h hours. A. 5h + 120h B. (5 + 1.20)h C. 5 + 1.20h D. 5h + 1.20
Answer:
a
Step-by-step explanation:
To collect data on the signal strengths in a neighborhood, Tracy must drive from house to house and take readings. She has a graduate student, Dave, to assist her. Tracy figures it would take her eight hours to complete the task working alone, and that it would take Dave 12 hours if he completed the task by himself. How long will it take Tracy and Dave to complete the task together
Working together, they can complete the task in 4 hours and 48 minutes.
What is the concept of time and work?A certain amount of time (T) is taken to complete a certain work (W). The number of units of work done per unit time is called the rate of work (R). Hence, Work (W) = Rate (R) Time (T) Whenever some work is done, the total work itself can be taken as one unit.
Tracy needs 8 hours to complete the task.
Then we can find the ratio of work over time as:
1 task/8 hours = 1/8 task per hour.
This means that she can complete 1/8 of the task per hour.
Dave needs 12 hours to complete the task, then his ratio is:
1 task/12 hours = 1/12 task per hour.
This means that he can complete 1/12 of the task in one hour.
If they work together, then the ratios can be added:
R = \(\frac{1}{8}\) + \(\frac{1}{12}\)
= \(\frac{3+2}{24}\)
= \(\frac{5}{24}\)
So, working together, in one hour they can complete \(\frac{5}{24}\) of the task, now we can find the number of hours needed to complete the task as:
\(\frac{5}{24}\)×\(x\)= 1 task
x = \(\frac{24}{5}\) hours = 4.8 hours
knowing that an hour is 60 minutes, then 0.8 of an hour is 60*0.8 = 48 minutes.
Then x = 4 hours and 48 minutes.
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What is the average rate of change from
x = 10 to x = 15?
Answer: I'm guessing -2 1/5
Step-by-step explanation: It's difficult to know the number at x = 15, but I would guess 9 might be the closest. The change is -11/5, or -2 1/5.
Answer:
The correct answer is -2.
Step-by-step explanation:
Hope this helps!!
decide whether each situation is a checking account deposite or debit. drag each situation to correct category
The correct situation for each category are as follow,
Banking a $100 gift check is under deposit
Paying a utility bill online is under debit
Receiving an eft of wages earned is under deposit
Writing a check for groceries is under debit
Taking $40 out of an atm is under debit.
Dragging of the situation in the correct category are,
Checking account deposit,
Banking a $100 gift check
Receiving an EFT of wages earned
And second condition is written as
Checking account debit,
Paying a utility bill online
Writing a check for groceries
Taking $40 out of an ATM
Here, EFT stands for Electronic Funds Transfer, which refers to the electronic transfer of money from one bank account to another.
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The above question is incomplete, the complete question is:
Decide whether each situation is a checking account deposit or debit. Drag each situation to correct category.
-banking a $100 gift check
-paying a utility bill online
-receiving an eft of wages earned
-writing a check for groceries
-taking $40 out of an atm
Sparkles the Clown makes balloon animals for children at birthday parties. At Barbara's party, she made 2 balloon poodles and 5 balloon giraffes, which used a total of 22 balloons. For Wyatt's party, she used 13 balloons to make 5 balloon poodles and 2 balloon giraffes. How many balloons does each animal require?
Each poodle requires balloons and each giraffe requires balloons.
Each poodle requires 8.5 balloons and each giraffe requires 1 balloon.
Let's start with Barbara's party, where Sparkles the Clown made 2 balloon poodles and 5 balloon giraffes, which used a total of 22 balloons. We can write this information as:
2P + 5G = 22 ---(Equation 1)
where P represents the number of balloons required for each poodle and G represents the number of balloons required for each giraffe.
At Wyatt's party, she used 13 balloons to make 5 balloon poodles and 2 balloon giraffes. We can write this information as:
5P + 2G = 13 ---(Equation 2)
Now, we need to solve these equations to find the values of P and G. We can do this by using elimination or substitution method.
Let's use substitution method by solving Equation 1 for P and substituting in Equation 2.
2P + 5G = 22
=> 2P = 22 - 5G
=> P = (22 - 5G)/2
Substituting this in Equation 2:
5P + 2G = 13
=> 5[(22 - 5G)/2] + 2G = 13
Simplifying and solving for G, we get:
G = 1
Substituting this in Equation 1 to find P:
2P + 5G = 22
=> 2P + 5(1) = 22
=> 2P = 17 => P = 8.5
Therefore, each poodle requires 8.5 balloons and each giraffe requires 1 balloon.
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how many significant figures does the result of the following operation contain? 8.5201 × 7.9
The result of the operation 8.5201 × 7.9 contains 3 significant figures.
The total number of significant figures in the product (multiplication or division) of two or more numbers is equal to the smallest number of significant figures in any of the numbers used in the operation.
So, let's find out the significant figures in the given problem.8.5201 × 7.9
Perform the multiplication operation as follows:
To find the significant figures in the above multiplication, we need to count the number of digits after the decimal point. We get two digits after the decimal point in the result of the multiplication, which means that the final value has 3 significant figures.
Hence, the result of the following operation contains 3 significant figures.
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there are 260 plants in a garden. 2/20 are flowers. how many plants are not flowers?
Answer:
To find out how many plants are not flowers, we need to subtract the number of flowers from the total number of plants.
We know that 2/20 of the plants are flowers, and we can use this information to find out how many plants are flowers. To do this, we can multiply the total number of plants (260) by the fraction of plants that are flowers (2/20).
260 x (2/20) = 260 x 0.1 = 26
So there are 26 plants that are flowers.
To find the number of plants that are not flowers, we subtract the number of flower plants from the total number of plants:
260 - 26 = 234
So there are 234 plants that are not flowers.
Given the equation y= -2/3 x-3 can you completle the table
round 475 to the nearest tenth
Answer:
480
Step-by-step explanation:
^
Rack heights vary from a few rack units to many rack units. The most common rack heights are 24U and 42U. How tall is a 24U rack?
As per the measurement the height of the 24U rack is 42 inches.
A rack height measurement refers to the size of the data center equipment that needs to be stored in a server rack.
The most common rack heights are 24U and 42U. These measurements refer to the number of units of 1.75 inches in height that can be accommodated in a server rack.
A 24U rack is 24 units of 1.75 inches high, so the total height of a 24U rack can be calculated by multiplying 24 by 1.75 inches.
Therefore, a 24U rack is 42 inches tall.
This is a standard height measurement for a server rack and is commonly used in data centers.
It is important to note that these measurements are standardized and refer to the size of the equipment that can be stored in the rack, not the actual physical dimensions of the rack itself.
So, when choosing a server rack, it is important to consider the height measurement in relation to the equipment that needs to be stored in it.
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I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
90 because it divided by 2 is 45 divided by 10 is 9 and 90 divided by 9 is 10
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
divisible just means that the given number can be divided by the other given number to create a whole number.
90÷2=45
90÷10=9
90÷9=10
(6×10²)(8×10³) Por favor una respuesta , lo necesito para hoy
Answer:(4x2)(10^3x10^2)8x10^5Listo ahi está
Step-by-step explanation:
In physics lab, you measure three quantities: x, y, and z. Suppose that x=2.5 kg, y=0.8 m, and z=4.9 kg/m. Which of the mathematical combinations might be meaningful?(x/y) - z(x/z) - yx+y+z(xz) + yxyzx - (y/z)xy/z(x-y)/z
In physics lab, when you measure three quantities of x, y, and z, you can use these mathematical combinations to find meaningful relationships between these quantities:
(x/y) - z(x/z) - yx - (yz)In this case, x=2.5 kg, y=0.8 m, and z=4.9 kg/m.
Based on the given quantities' scale, we know that x, y, and z have a relationship where:
z = x/y
Then, the mathematical combinations that might be meaningful are:
- (x/y) - z: This combination gives you the difference between the ratio of x and y, and z. This could be meaningful if you are trying to find the difference between two quantities that have different units.
- (x/z) - y: This combination gives you the difference between the ratio of x and z, and y. This could be meaningful if you are trying to find the difference between two quantities that have different units.
- x - (yz): This combination gives you the difference between the ratio of x and z, and y. This could be meaningful if you are trying to find the difference between two quantities that have different units.
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Question: The perimeter of a rectangle is 60 cm. Its length is 12 cm. What is its width? 1. Write an expression using x to represent the rectangle s width 2. Solve for the width.
Answer:
100 is the answer hope this helps
Step-by-step explanation:
PLEASEEEEE I NEED HELP WITH THIS!!
Solve for x.
5
6X 30
7 1
X+ x =
5*= -52
x =
(Type an integer or a simplified fraction.)
Answer:
x = 60
Step-by-step explanation: