There are about 124.29 acres in this parcel woods
Step-by-step explanation:
The given is:
Western North Carolina Woods have a deer population density of 3.5 deer per acreThere are a total of 435 deerWe need to find how many acres are in this parcel of woods
∵ The population density = 3.5 deer per acre
- That means 1 acre for every 3 dears
∵ There are a total of 435 deer
∴ [tex]\frac{3.5}{1}=\frac{435}{x}[/tex] , where x is the number of acres
- By using cross multiplication
∴ 3.5 × x = 1 × 435
∴ 3.5 x = 435
- Divide both sides by 3.5
∴ x = 124.29
There are about 124.29 acres in this parcel woods
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two fifths of twenty
Answer:
8
Step-by-step explanation:
2/5*20= 8
You can use the attachment above ^^
Answer: It would Be 8
Step-by-step explanation:
You would just multiplie
2/5 x 20
So 2x20/5= 40/5
Then simplify to 8
Which statements about the factors of the terms in the expression 12x+18xy-24y are true. Select three options
A:the factors common to 12x and 18xy are 1,2,3,6,x,y
B:the factors common to 12x and 18xy are 1,2,3,6,x
C:the factors common to 12x and 24y are 1,2,3,4,6,12
D:the GCF of the expression is 6xy
E: the GCF of the expression is 6
The factors common to 12x and 18xy are 1, 2, 3, 6, and x.
The factors common to 12x and 24y are 1, 2, 3, 4, 6, and 12.
The GCF of the expression is 6.
Answer: Options B, C and E.
Explanation:
Factors are numbers we can increase together to get another number. At the point when we discover the components of at least two numbers, and afterward discover a few variables are the equivalent ("normal"), at that point they are the "basic elements".
These are the factors which are common in the whole expression or are common in any two equations at the time of comparison. The common factor which is the biggest is known as the greatest common factor.
Answer:
B,C,E
Step-by-step explanation:
A cube has side lengths of 4 in.
What is the volume of the cube?
Enter your answer in the box.
Answer:
This would equal 64
Step-by-step explanation:
To find the volume of a cube you multiply the length x width x height.
So in this case this would be 4 x 4 x 4 = 64
This is the easiest shape to find the volume.
If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
Graph -5x-4=10 help me
This is the graph:
-5x=14
x=-2.8
YOU WON'T ANSWER THIS!!!!
Using the exponential function 2x + 3, what is the average rate of change between the values 1 ≤ x ≤ 5?
explain answer step by step
Answer:
7.5
Step-by-step explanation:
The given exponential function is
[tex]f(x) = {2}^{x} + 3[/tex]
The average rate of change over a≤x≤b is given by;
[tex] \frac{f(b) - f(a)}{b - a} [/tex]
This implies that the average rate of change between the values 1 ≤ x ≤ 5 is
[tex] \frac{f(5) - f(1)}{5 - 1} [/tex]
We evaluate to get:
[tex]\frac{ {2}^{5} + 3 - {2}^{1} - 3}{4} = \frac{30}{4} = \frac{15}{2} = 7.5[/tex]
11,647 rounded to the nearest hundred
Answer:
11,600
Step-by-step exp
the 4 in the tens place means the 6 stays the same
Answer:
11,600
Step-by-step explanation:
think of 100... that 1 is in the hundred place. when rounding you look to the number to the right of that place. if that number is less than 5 you dont round up. if the number is 5 or greater you round up. in this case 11,647 the number 6 is in the hundred place. look to the right of it. in this case it is 4. 4 is less than five so you don't round up. your number 11,647 rounded to the hundred place is 11,600.
1 1/6 • 20 13/24 =? What is the answer to this?
If f(x) = 3x + 2 and g(x) = x^2– X, find each value.
A. g(36)
B. f(2) + 1
A) g(36) = 1260
B) f(2) + 1 = 9
Solution:
Given that,
[tex]f(x) = 3x + 2\\\\g(x) = x^2-x[/tex]
Find each value
A) g(36)Substitute x = 36 in g(x)
[tex]g(36) = (36)^2 - 36\\\\g(36) = 1296-36\\\\g(36) = 1260[/tex]
B) f(2) + 1Substitute x = 2 in f(x)
[tex]f(2) + 1 = 3(2) + 2 + 1\\\\f(2) + 1 = 6 + 2 + 1\\\\f(2) + 1 = 9[/tex]
Thus the values are found
Final answer:
To solve the functions, substitute the given values into the relevant function. After performing calculations, g(36) is found to be 1260, and f(2) + 1 is calculated to be 9.
Explanation:
To find the values for given functions, we need to substitute the relevant inputs into each function and then perform the necessary calculations.
A. g(36)
Given g(x) = x² \\- x, we substitute x with 36:
g(36) = 36² \\- 36 = 1296 \\- 36 = 1260.
B. f(2) + 1
Given f(x) = 3x + 2, we first find f(2):
f(2) = 3(2) + 2 = 6 + 2 = 8.
Now, we add 1 to f(2):
f(2) + 1 = 8 + 1 = 9.
90 km is 8% of what distance
A __________ guarantees that there is one and only one output for every input.
Answer: y intercept
Step-by-step explanation:
Which of the following models can be used to find the product of (2x + 1)(x + 6)?
A
2x(x + 6) – 6(x + 1)
B
2x(x – 6) + 1(x – 6)
C
x(x – 6) + 2x(x – 6)
D
x(2x + 1) + 6(2x + 1)
Answer: No, it D
Step-by-step explanation: i choose c but it was wrong, it d
Which of the following represents the sum of the series? 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26
Answer:
the awnser is A I just got it right
Fifty people were surveyed about their favorite flavor of frozen yogurt. The results of the survey are displayed in the circle graph. How many people prefer banana?
Answer:
2
Step-by-step explanation:
4 divided by 2 equals 2
Answer:
3
Step-by-step explanation:
What are the values of m∠ABC, m∠CBF, m∠ABD and m∠DBE in the given figure? Explain or show your work.
The given figure is missing so I attached it below
m∠ A B C = 72°
m∠ F B C = 108°
m∠ A B D = 90°
m∠ D B E = 18°
Step-by-step explanation:
Vertical opposite angles formed from intersecting of two lines in a point, they are equal in measuresA pair of linear angles formed from intersecting a ray and a line in a point, the sum of their measures is 180°∵ Lines A F and C E are intersected at point B
∴ ∠ A B C and ∠ F B E are vertical opposite angles
- That mean they are equal in measures
∴ m∠ A B C = m∠ F B E
∵ m∠ F B E = 72°
∴ m∠ A B C = 72°
∵ Ray F B and line E C are intersected at B
∴ ∠ C B F and ∠ F B E formed a pair of linear angles
- Their measures is 180°
∴ m∠ C B F + m∠ F B E = 180°
∵ m∠ F B E = 72°
∴ m∠ C B F + 72 = 180
- Subtract 72 from both sides
∴ m∠ C B F = 108°
∵ Ray B D ⊥ to line A F
- That mean ∠ A B D and ∠ F B D are formed a pair of linear
angles equal in measures, then their measures is 180 ÷ 2 = 90
∴ m∠ A B D = m∠ F B D = 90°
∴ m∠ A B D = 90°
∵ Ray B E divides ∠ D B F into two angles D B E and F B E
∵ m∠ F B D = 90°
∴ m∠ D B E + m∠ F B E = 90°
∵ m∠ F B E = 72°
∴ m∠ D B E + 72 = 90°
- Subtract 72 from both sides
∴ m∠ D B E = 18°
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Simplify:
{[(16 ÷ 4) × (2 × 6)] ÷ 6} + 4 =
Answer:
12
Step-by-step explanation:
divided 16 by 4 which is 4. then multiply 2 by 6, which is 12. then multiply 4 by 12. Remember to always do ( ) first. 4 by 12 is 48. Then do 48 divided by 6 which is 8. then add 8+4 which is 12.
Math, ,,,,,,,,,,,,,,,,,,,,
Answer:
the Answer here is A
Step-by-step explanation:
Terry Wade's variable costs for his car
totaled $1,876.88 last year and his fixed
costs totaled $1,685. If he drove 10,846
miles last year, what was his cost per
mile? Round to the nearest cent.
A $0.45
B $0.33
C $0.64
D $0.35
To find Terry Wade's cost per mile, his variable and fixed costs are summed and then divided by the total miles driven, yielding a cost per mile of approximately $0.33.
Explanation:To calculate Terry Wade's cost per mile for using his car, we first need to add together his variable and fixed costs, and then divide this total by the number of miles he drove last year.
This gives us the cost per mile.
Step 1: Add variable and fixed costs.
Variable costs = $1,876.88
Fixed costs = $1,685
Total costs = Variable costs + Fixed costs = $1,876.88 + $1,685 = $3,561.88
Step 2: Divide the total costs by the number of miles driven.
Number of miles driven = 10,846 miles
Cost per mile = Total costs ÷ Number of miles driven = $3,561.88 ÷ 10,846 miles
Cost per mile ≈ $0.328 or rounded to the nearest cent, $0.33.
Therefore, the cost per mile for Terry Wade last year was $0.33, making the correct answer B $0.33.
PLEASE HELP (answer only if you know it) step by step pleaseeeeeeeeeeeeee
Step-by-step explanation:
Given the coordinate of C is (-3,1) and D is (5,6)
The length of a line segment [tex]\bar {AB}[/tex]with endpoint A at [tex](x_1,y_1)[/tex] and endpoint B at [tex](x_2,y_2)[/tex] is = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here [tex]x_1=-3 ,y_1=1[/tex] and [tex]x_2=5,y_2=6[/tex]
Therefore the length of a line segment [tex]\bar {CD}[/tex] is [tex]\sqrt{(5+3)^2+(6-1)^2}[/tex]
=[tex]\sqrt{89}[/tex] units
=9.43 units
A city has a population of 250,000 people. Suppose that each year the population grows by 6%. What will the population be after 12 years ?
Answer:
503,049
Step-by-step explanation:
250,000 × 1.06^12 is the formula.
You take the percentage which is 6% and you add 1 to it.
So, you get 1.06
Then you take the 1.06 and raise it to the number of years which is 12.
1.06^12
Then you multiply that number to the base number which is 250,000 and get 503,049.
Hope this helps!
Final answer:
To find the population after 12 years given a 6% annual growth, we apply the exponential growth formula. With an initial population of 250,000, the formula gives approximately 503,054 as the population after 12 years.
Explanation:
To calculate the population of a city after 12 years when it grows by an annual rate of 6%, we utilize the formula for exponential growth, P(t) = P0 * [tex](1 + r)^t[/tex], where P(t) is the population at time t, P0 is the initial population, r is the growth rate, and t is the number of years.
Given:
Initial population P0 = 250,000Growth rate r = 6% or 0.06Time t = 12 yearsThe population after 12 years can be calculated as follows:
P(12) = 250,000 * [tex](1 + 0.06)^{12}[/tex]
P(12) = 250,000 * [tex](1.06)^{12}[/tex]
P(12) ≈ 250,000 * 2.0122
P(12) ≈ 503,054
Therefore, the estimated population after 12 years is approximately 503,054.
please i need help
Answer:
P = (0,4) Q = (2,0)
Step-by-step explanation:
Write an expression that is equivalent to the following expression by factoring out the GCF 16y+18m
Answer:
2(8y+9m)
Step-by-step explanation:
What is the volume of this figure? Show your calculations.
Answer:
The volume of the figure given is [tex]4000[/tex] cubic units
Step-by-step explanation:
The given figure is in the shape of a Right Square Pyramid.
The volume of a right square pyramid can be calculate by:
Volume of a right square pyramid =
[tex]a^3\frac{h}{3}[/tex]
where 'a' is the length of the base of the pyramid which is equal for all the four side of the base and 'h' is the height of the pyramid which is perpendicular to the base of it.
Given: [tex]a=10[/tex] units
[tex]h=12[/tex] units
Putting the values in the volume of the right square pyramid.
[tex]=10^3\frac{12}{3}\\\\ =10^3*4\\\\=4000[/tex]
The volume of the figure given is [tex]4000[/tex] cubic units
Find the Center and the radius of the circle
x2 + y2 - 6x + 8y- 7 = 0.
Final answer:
The center of the circle is (3, -4) and the radius is approximately 5.66 units.
Explanation:
To find the center and radius of the given circle, we need to rewrite the equation in the standard form of the equation of a circle. The standard form is: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
So, let's complete the square for both x and y terms in the given equation:
(x^2 - 6x) + (y^2 + 8y) = 7
(x^2 - 6x + 9) + (y^2 + 8y + 16) = 7 + 9 + 16
(x - 3)^2 + (y + 4)^2 = 32
Now we can see that the center of the circle is (3, -4) and the radius is √32 or approximately 5.66 units.
Valentine's day cards cost 3/4 of dollars Emily has $20 she has to buy 20 cards for her class how much money will she be left with
Answer:
$5
Step-by-step explanation:
3/4 is the same as .75;
.75•20=15
20-15=5
Which expression correctly represents "nine less than the quotient of a number and four, increased by three"?
Answer:9-x/4+3
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
What is the quotient? Negative StartFraction 4 over 5 EndFraction divided by 2 Negative 1 and three-fifths Negative two-fifths One-half 1 and three-fifths
Answer:
a
Step-by-step explanation:
The quotient of the given expression is -2/5.
What is quotient?The number we obtain when we divide one number by another is the quotient
Given is the expression as -
- (4/5) ÷ 2
The given expression is -
- (4/5) ÷ 2
- (4/5) x 1/2
- 2/5
Therefore, the quotient of the given expression is -2/5.
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13,500 deposit earning 3.3% compound monthly after 1 year
Answer:
$13,952.30
Step-by-step explanation:
refer to attached graphic
the formula for compound interest is given as
A = P [ 1 + (r/n) ] ^ (nt)
where
A = final amount (we are asked to find)
P = principal amount = $13,500
r = rate = 3.3% = 0.033
n = 12 (compounded monthly)
t = 1 year
substituting these values into the equation
A = 13500 [ 1 + (0.033/12) ] ^ [(12)(1)]
A = 13500 [ 1 + 0.00275 ] ^ 12
A = 13500 [1.00275 ] ^ 12
A = 13500 (1.0335)
A = $13,952.30
The balance on a $13,500 deposit earning 3.3% and compound monthly after 1 year is equal to $13,952.30.
How to determine the future value after 1 year?In Mathematics and Financial accounting, compound interest can be calculated by using the following mathematical equation (formula):
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where:
A represents the future value.n represents the number of times compounded.P represents the principal.r represents the interest rate.t represents the time measured in years.By substituting the given parameters into the formula for compound interest, we have the following;
[tex]A(1) = 13500(1 + \frac{0.033}{12})^{12 \times 1}\\\\A(1) = 13500(1.00275)^{12}[/tex]
Future value, A(1) = $13,952.30.
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Complete Question;
Find the balance in each account after the given period. $13,500 deposit earning 3.3% compound monthly after 1 year.
John paid $34 for 2 books and 3 pencils. He paid $36 for 3 books and 2 pencils. How much was each?
Cost of each book is $ 8 and cost of each pencil is $ 6
Solution:
Let "a" be the cost of 1 book
Let "b" be the cost of 1 pencil
John paid $34 for 2 books and 3 pencils
Therefore,
2 books x cost of 1 book + 3 pencil x cost of 1 pencil = 34
[tex]2 \times a + 3 \times b = 34[/tex]
2a + 3b = 34 ----------- eqn 1
He paid $36 for 3 books and 2 pencils
3 books x cost of 1 book + 2 pencil x cost of 1 pencil = 36
[tex]3 \times a + 2 \times b = 36[/tex]
3a + 2b = 36 -------- eqn 2
Let us solve eqn 1 and eqn 2
Multiply eqn 1 by 2
4a + 6b = 68 ---------- eqn 3
Multiply eqn 2 by 3
9a + 6b = 108 --------- eqn 4
Subtract eqn 3 from eqn 4
9a + 6b = 108
4a + 6b = 68
( - ) -------------
5a = 40
a = 8
Substitute a = 8 in eqn 1
2(8) + 3b = 34
16 + 3b = 34
3b = 34 - 16
3b = 18
b = 6
Thus cost of each book is $ 8 and cost of each pencil is $ 6
Given f(x)=3x+3, solve for x when f (x) = 6.
Answer:
x=1
Step-by-step explanation:
hello :
3x+3 =6
means : 3x+3-6 =6-6
3x -3 =0
add 3 : 3x = 3 divid by 3 : x=3/3=1
The required simplified value of the x for which the function gives f(x) = 6 is given as x = 1.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given function,
f(x)=3x+3,
Since we have given f(x) = 6, we have to determine the value of x for which the function gives 6,
Now,
f(x)=3x+3
Substitute f(x) = 6
6 =3x + 3
3x = 6 - 3
3x = 3
x = 1
Thus, the required simplified value of the x for which the function gives f(x) = 6 is given as x = 1.
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Ronnie charged his customers a flat fee of $25 to fix computers computers.Then he charge $30 for each hour that he spent fixing the computer. If Ronnie made $175 off of his first customer how many hours did he spend working.
Answer:$200
Step-by-step explanation:
Answer:
7.5 Step-by-step explanation: Ronnie charges $25 plus $20 per hour. This means that he made the following depending on how many hours he spent on it: Hours Dollars 0 25 = 25 + 0(20)=25 1 25+20 = 25 + 1(20)=45 2 25+20+20 = 25 +2 (20)=65 3 25+20+20+20 = 25 +3 (20)=85 4 25+20+20+20+20 = 25 +4 (20)=105 5 25+20+20+20+20+20 = 25 +5 (20)=125 n 25+n(20)=175 To find how many hours he worked for $175 we solve the equation using inverse operations: 25+n(20)=175 25-25+n(20)=175-25 n(20)=150 n= 7.5 hours