Answer:
The population after x years will be P = 29000 + 700x
Let the population after the years be represented by P
Population of the town in 2003 = 29000
Annual increase in growth = 700
Then, the population after x years will be:
P = 29000 + 700(x)
P = 29000 + 700x
Therefore, the population will be P = 29000 + 700x.
Let f(x) = 2x+4. If f(x) = 16, find x.561024
Solution
Let f(x) = 2x+4. If f(x) = 16, find x.
[tex]\begin{gathered} f(x)\text{ =16} \\ f(x)=2x+4 \\ \text{Let's replace f(x) with 16} \\ 16=\text{ 2x+4} \\ \text{collect the like terms} \\ 16-4=2x \\ 12=2x \\ \text{Divide both sides by 2} \\ x=6 \end{gathered}[/tex]Answer:
x=6
Step-by-step explanation:
Substitute f(x)=16 into the equation:
16=2x+4
Get x by itself:
2x=12
Divide both sides by 2:
x=6
evaluate the expression 2⋅(|3.4−6|−1.8)÷2 1/2+(−2)^3.
On evaluating the given expression we get -9.6. We use the BEDMAS rule where we solve Brackets, Exponents, Division, Multiplication, Addition and Subtraction in a given expression in this order.
We evaluate the the problem using BEDMAS rule:
2.(|3.4-6|-1.8)÷2 1/2+(-2)^3
= 2.(|12-6|-8) ÷ 5/2 + (-8)
= 2.(6-8) ÷ 5/2 - 8
=2.(-2) ÷ 5/2 - 8
= -4 ÷ 5/2 - 8
= -8/5 - 8
= -48/5
= -9.6
Thus the answer of the the given expression we get after evaluating it is -9.6
Another problem on evaluating the expression using BEDMAS
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A plant is already 51 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters), after
m months is given by the following function.
H(m)=51+m
What is the plant's height after 33 months?
Answer:
84 cm
Step-by-step explanation:
H=51+m
m=months, substitute m for 33 months
H=51+33
H=84
The plant's height will be 84 cm after 33 months
R is directly proportional to T. If R = 60 when T = 10, Calculate the value of T when R = 54
Answer:
T=9
Step-by-step explanation:
if R is proportional to T
[tex] t = rk [/tex]
Where k is a constant
[tex]10 = 60k[/tex]
[tex]k = \frac{1}{6} [/tex]
Therefore,
[tex]54 \times \frac{1}{6} = t[/tex]
[tex]t = 9[/tex]
(Writing Two-Step Equations HC) Given the equation 4x + 12 = 64: Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points) Part B: Solve the equation showing all work. (4 points) Part C: Explain what the value of the variable represents. (2 points)
PLEASE HURRY IM IN A EXAM LIKE WHYYYYYY :'), I WILL GIVE 20 POINTS OR MORE JUST ANSWER
Considering the expression 4x + 12 = 64, it is found that:
A. The problem is that you purchased x fried pastry, costing $4, plus a chocolate and a soda, costing $12, and the total purchase cost was of $64.
B. The solution is x = 13.
C. The solution means that you purchased 13 fried pastry.
Expression
The expression is presented as follows:
4x + 12 = 64.
A possible context for this problem is:
x fried pastry are purchased, each costing $4, hence 4x.A chocolate and a soda purchased, costing a total of 12, hence 4x + 12.The total cost of the purchase was of $64, hence 4x + 12 = 64.The number of fried pastry purchased is the solution to the equation, calculated as follows:
4x + 12 = 64
4x = 52
x = 52/4
x = 13 -> 13 fried pastry were purchased.
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Find the unit rate. It took Timothy four days to finish 1/5 of his book. How much of the book did he read per day?
Group of answer choices
1/20 of the book
4/5 of the book
5/3 of the book
3/4 of the book
Answer:
Timothy read 1/20 of the book each day
-6(x)² + y³ - 8.
For x = 3
For y = 2
Answer:
- 54
Step-by-step explanation:
substitute x = 3 , y = 2 into the expression
- 6x² + y³ - 8
= - 6(3)² + 2³ - 8
= - 6(9) + 8 - 8
= - 54 + 0
= - 54
HELP ASAP PLS I'LL GIVE BRAINLIEST..!
The average of the fraction of students on both classes who went on the field trip is; 13/20.
What is a fraction?A fraction represents a part of a number or any number of equal parts. A fraction is a ratio of two integers called the numerator and denominator.
Given that the sum of the fraction of both students in the two classes is;
3/5 + 7/10
We know that the LCM of the denominators which are 5 and 10 is 10
Therefore, the sum of both fractions = 6/10 + 7/10 = 13/10
The average = 13/10 /2 = 13/10 x 2
The average = 13/20
Therefore, the average of the fraction of students on both classes who went on the field trip is; 13/20.
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g(x) = -3x - 5, find g(4).
Step-by-step explanation:
putting the value of x in -3x-4 where x is 4 so the ans is -17
peter deposited $7,790 into an account that earns 4 5/8% interest, compounded annually. calculate the interest peter will earn after 42 months. how much will peter have in his account after 42 months?
The interest earned by Peter after 42 months is $1,335.60 and the total amount in his account is $9,125.60.
How to determine the accrued ( A ) and interest ( I ) amount in a compound interest?The formula for compound interest is expressed as;
A = P(1 + r/n)^nt
Where A is accrued amount, P is principal, r is interest rate, n is compound, and t is time period.
Given the data in the question;
Principal P = $7,790Annual interest r = 4 5/8%Compounded annually n = 1Time t = 42 monthsAccrued amount A = ?Interest I = ?First, convert the interest rate to decimal.
Rate r = 4 5/8% = (4×8 + 5 )/8%
Rate r = 37/8%
Rate r = 4.625%
Rate r = 4.625/100 = 0.04625 per pear
Next, convert time from months to years
Time t = 42 month = ( 42/12 )years
Time t = 3.5 years
To determine the accrued amount, plug the given values into the compound interest formula and solve for A.
A = P(1 + r/n)^nt
A = $7,790(1 + 0.04625/1)^( 1 × 3.5 )
A = $7,790(1 + 0.04625 )^( 3.5 )
A = $7,790(1.04625 )^( 3.5 )
Accrued amount A = $9,125.60
Note that; Accrued amount A = Principal P + Interest I
Hence;
Interest I = A - P
Interest = $9,125.60 - $7,790
Interest = $1,335.60
Amount in the account after 42 months is the same as the accrued amount A, this is $9,125.60.
Therefore, the interest earned is $1,335.60 and the accrued amount is $9,125.60.
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What does K =
2(k-3)/k+9 = 3/5
The value of k in the equation is 6.
How to solve equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Therefore, the equation can be solved as follows;
[tex]\frac{2k-3}{k+9}=\frac{3}{5}[/tex]
cross multiply
5(2k - 3) = 3(k + 9)
10k - 15 = 3k + 27
add 15 to both sides of the equation
10k - 15 = 3k + 27
10k - 15 + 15 = 3k + 27 + 15
10k = 3k + 42
subtract 3k from both sides of the equation
10k = 3k + 42
10k - 3k = 3k - 3k + 42
7k = 42
divide both sides by 7
k = 42 / 7
k = 6
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Solve for variable c
6c x 88 - 93 = 67
6c X 88 = 93+67
528c=160
C=0,303030303030303
I need help with the following question.
Answer:
A
(Look at the screenshots below)
1st screenshots shows the "moved down to two units"
2nd screenshot shows the"flipped over a vertical line that lines halfway between the two triangles"
A sprinter completed a 100 m run with
a time of 12.31 seconds.
Her time, t, has been truncated to a
hundredth of a second.
Write the error interval fort in the form
a ≤ t
The error interval is 12.305 ≤ t < 12.315 (by using rounding rules)
What is rounding rules?
Round the number up if 5, 6, 7, 8, or 9 follow the number you are rounding.
Round the number down if the rounded number is followed by a 0, 1, 2, 3, or 4. for e.g, 1.205 becomes 1.21 (rounding up) and if 1.21 (round the number down) then it will be 1.2.
In this question :
- Time = 12.31 seconds
- if we consider the thousandth digit then the times of 12.305 or greater and less than 12.315 are rounded to 12.31.
Therefore, the interval is 12.305 ≤ t < 12.315.
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A uniform continuous distribution has a maximum of 14 and a minimum of 2. Samples of size 36 are drawn from the distribution. What is the variance of the sample means?.
The variance of the sample means will be 0.3428.
What is Variance of sample means?
The variance of the sampling distribution of the mean is the population variance divided by the sample size.
Given that;
A uniform continuous distribution has a maximum of 14 and a minimum
of 2.
Samples of size 36 are drawn from the distribution.
Now,
The population variance = 14 - 2
= 12
And, Sample size = 36
Since, The variance of the sample means is defined as;
= Population variance / Sample size
Substitute all the values, we get;
= 12 / 35
= 0.3428
Thus, The variance of the sample means will be 0.3428.
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what is 7.25 converted as a fraction
Submit
Submit
Submit
7.25 would be 7 1/4 or 29/4
I don't understand this: beth wants to paint a circular tabletop that has a radius of 3 feet. a small can of paint covers 15 square feet. how many cans will beth need to buy?
The required number of cans would be 2 for painting a circular tabletop that has a radius of 3 feet.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
We have been given that beth wants to paint a circular tabletop that has a radius of 3 feet. a small can of paint covers 15 square feet.
Firstly, we need to calculate the area of a given circular tabletop which is equal to the area of a circle with a radius of 3 feet.
area of the circular tabletop = the area of a circle
area of the circular tabletop = π r²
Here r = 3 feet
area of the circular tabletop = π (3)²
area of the circular tabletop = 9π
area of the circular tabletop = 28.27 square feet
Required number of cans = 28.27 / 15
Required number of cans = 1.88 ≈ 2
Therefore, the required number of cans would be 2.
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=
#1
When a skydiver opens their parachute, they descend at a
rate of 3 m/s. If a skydiver is 1200 meters up in the air, then
how long will it take for them to reach the ground?
Time before reaching the ground?
The time taken for them to reach the ground is 0.305s.
What are the equations of motion?
Kinematics equations of motion define the fundamentals of an object's motion, such as its position, velocity, or acceleration over time. These three equations of motion control how an item moves in one, two, and three dimensions. It is possible to determine components like displacement(s), velocity(initial and final), time(t), and acceleration(a) using one of three equations of motion (a). The three equations of motion are as follows:
First equation: v = u + at
Second equation: s = u*t + 0.5t²
Third equation: v² = u² + 2as
Given, the initial velocity of the skydiver = 3 m/s
Height of fall for the skydiver = 1200 m
Also, after reaching ground, final velocity of the skydiver = v = 0 m/s
Let the time taken to reach the ground be = t
Therefore, using the first equation, we have
0 = 3 + (-9.81)t ⇒ t = -3/-9.81 = 0.305 s
Thus, time taken for them to reach the ground is 0.305s.
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What is the remainder of the quantity 4 x cubed minus 20 x minus 50 end quantity divided by the quantity x minus 3 end quantity? Show all necessary steps.
Please show me step by step tysm^^
given f(x)=4x+1 describe how the graph of g compares with the graph of f. g(x)=(4x+1)+3
The description of the graph of function g(x) is 3 units translation up
How to describe the graph of function g(x)?The equations of the functions are given as
f(x) = 4x + 1
g(x) = (4x + 1) + 3
Substitute f(x) = 4x + 1 in the equation g(x) = (4x + 1) + 3
So, we have
g(x) = f(x) + 3
The above rule implies that:
The function g(x) is a translation of the function f(x)
The unit of the translation is 3 and the direction of the translation is up
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is y=1000x proportional?
Answer:
has a proportional relationship with a constant of proportionality of 1000.c
Step-by-step explanation:
y=1,000x,y=1,000x
joseph can ride his bike 32 miles in 5 hours. kyle can ride his bike 20 miles in 3 hours who would ride farther in 15 hours explain .
A carpenter is building a triangular frame. She has three pieces of wood measuring 5 feet, 6 feet, and 12 feet.
The carpenter
build the triangular frame with the three pieces of wood. She could cut the
Piece by
To create a triangular frame
Answer: Cannot, 12 foot , 2 feet
Step-by-step explanation:
5/5 on test
The carpenter can cut the 12 feet wood by 2feet to make triangular frame.
What is triangle?A polygon with three vertices and three edges is called a triangle. Geometry's most fundamental shape is this one. Triangle ABC is a triangle with A, B, and C as its vertices.
Any three non-collinear points can create a unique triangle and a unique plane in Euclidean geometry (a two-dimensional Euclidean space). To put it another way, every triangle is contained in some plane, and there is only one plane that contains that triangle.
Given Carpenter has three pieces of wood measuring 5 feet, 6 feet, and 12 feet.
and wants to make a triangular frame,
with these wood pieces he can not make the triangular frame because it does not follow the property of triangle,
which says the sum of two sides of triangle should always greater than the larger side,
here large side is 12 feet and 5 + 6 is less than 12,
so to make a triangular frame he should decrease the larger side which should be less than 11
by cutting 12 feet piece by 2 feet it will be 10 feet and carpenter can make the triangular frame.
Hence the carpenter need to cut 12 feet long piece by 2 feet, to make triangular frame.
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pleaseeeee i need help before school tomorrow thanks :)
Answer:
You need to know that not a cheat
write as a single fraction:
2/x+2 + 3/2x+1
Answer:
3x2+6x+4 2x
hope this helps !!
HAVE A AMAZING DAY
Answer:
(6x+7)/2x
Step-by-step explanation:
2/x+2 + 3/2x+1
2/x+2x/x + 3/2x+x/x [Convert the bolded numbers into fractions with x in the denominator.
2/x+2x/x + 3/2x + x/x [Convert the bolded numbers so that the denominator becomes 2x]
4/2x+4x/2x + 3/2x + 2x/2x
4/2x+4x/2x + 3/2x + 2x/2x [Now that all numbers have the same denominator, we can add the numerators]
(4+4x + 3 + 2x)
(6x+7)
(6x+7)/2x [Place the denominator, 2x, back into the fraction]
In finding the solution of the equation: 5 - 3x = 2 + 9, 3x is added to both sides of the equation first. Which of the following should be done next?
add -9
add -5
add -2x
The next step in solving the equation 5 - 3x = 2 + 9 is (a) add -9
How to determine the first step?From the question, we have the following equation that can be used in our computation:
5 - 3x = 2 + 9
When 3x is added to both sides, the equation becomes
5 = 2 + 9 + 3x
The next step is to eliminate 9 or 2 from the variable term
This can be done by adding -9 to both sides
So, we have:
-9 + 5 = 2 + 3x
Hence, the next step is (a) add -9
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Y-intercept = 4 Slope = 2
Answer:
y=2x+4
Step-by-step explanation:
Guessing you need an equation?
A baseball team won 16 of their first 20 games. If they win half of the rest of their games, how many more
games will they have to play in order to win 75% of the total number of games?
The least number of games the team must win to raise its winning record above 75 percent is -4 , by raising the win fraction to the total number of fractions as 36/48.
What is meant by fractions?There are ratios of fractions that represent a portion of the whole. A fraction has the form a/b, which may be read as "a by b," and it has the function a divided by b. The denominator is referred to as b, and the numerator is known as a.
To transform a percentage to a fraction, we divide it by 100.
Given that a baseball team has won 18 of the 30 games it contains played during the season.
We exists asked the least number of games the team must win to raise its win record above 75%.
Let the number of games needed to be x.
The new number of wins will be the sum of current wins and the games to win, that exists, the new number of wins = 16 + x.
The new number of games played will be the sum of current games played and the games to win, that exists, the new number of games played = 20 + x.
Therefore, the win fraction of the team can be shown as the ratio of the total wins to the total number of games played, that exists, the win record = (16 + x)/(20 + x).
We exists asked to make sure that the win record should be at least 75%,
This percentage can be described as the fraction 75/100 = 3/4.
Therefore, we get the equation:
(16 + x)/(20 + x) = 3/4,
simplifying the above equation, we get
4x - 3x = 3x - 4x - 4,
x = -4.
Therefore, by increasing the victory fraction to the entire number of fractions as 36/48, the team just needs to win -4 games to improve its winning percentage above 75%.
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Question 8 of 8 Pls answer quickly pls and thank you
What are all the possible ways to classify the following shape?
shape
A. polygon, quadrilateral, trapezoid
B. polygon, quadrilateral, parallelogram, trapezoid
C. quadrilateral, trapezoid
A polygon is a flat shape that is encircled by lines known as edges. It has a two-dimensional appearance. As a result, all of the shapes in sections a, b, and c are polygons.
A. Trapezoid, Quadrilateral - A trapezoid always forms a quadrilateral since it is a regular polygon having four sides. A trapezoid is a quadrilateral with opposing parallel sides. A right angle, also known as a right trapezoid, can have congruent sides, which are referred to as isosceles.
B. Polygons, quadrilaterals, parallelograms, and trapezoids - A quadrilateral is a four-sided shape. A parallelogram is a form with four parallel and equal-length sides. A parallelogram's area is equal to the base multiplied by the height. A trapezoid is a shape that has at least one set of opposite ends that are parallel.
C. quadrilateral, trapezoid - A trapezoid is a quadrilateral with several parallel opposed sides. Although the right angles of square trapezoids and isosceles triangles can be included which is an isosceles quadrilateral.
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Solve the formula A=yn+y for n
Solving for n for n in the formula A = yn + y is expressed as: n = A/y - 1.
How to Solve for the Formula for a Variable?
Solving for the formula for a variable, means we should make the variable the subject of the formula by isolating the variable to one side of the equation to determine its value.
Given the equation of the formula, A = yn + y, to solve for n, follow the steps below:
A = y(n + 1)
Divide both sides by y:
A/y = y(n + 1)/y [division property of equality]
A/y = n + 1
Subtract 1 from both sides:
A/y - 1 = n + 1 - 1 [subtraction property of equality]
A/y - 1 = n
n = A/y - 1
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