Answer: 200
Step-by-step explanation:
The initial value is 200, since this is the population before conservation efforts began.
A vertical mast is held in place by wires from the top of it to the ground the mast is 60m tall and the wires from the top of it to the ground is 25m from the foot of the mats.How long is each wire
Answer:
65 m
Step-by-step explanation:
The length of the mast, 60 m, is a leg of a right triangle.
The distance the wire is from the foot of the mast is the other leg.
The length of the wire is the hypotenuse of the right triangle.
We can use the Pythagorean theorem to find the length of the wire.
a² + b² = c²
60² + 25² = c²
3600 + 625 = c²
c² = 4225
c = 65
Answer: 65 m
Find the value of x.
A. 80°
B. 70°
C. 60°
D. 50°
Answer:
A
Step-by-step explanation:
80 degree becaue a triangle = 180 degress
180 - 100 = 80
Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))
Answer:
hello
g (x)= x² - 5
g (3) = 3² - 5 = 9 - 5 = 4
Step-by-step explanation:
what is the median of the data set below? 45 57 41 67 33 43 A.41 B.44 C.54 D.67
Answer:
41
Step-by-step explanation:
The middle number is the median
A.
when are non-forfeiture provisions used?
when the insured names a beneficiary
b. when the insured stops making premium payments on a cash value policy
c. when the insured converts a term policy
d. when the insured dies and there is a settlement
Answer: should be B
Step-by-step explanation:
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
Salesman A Salesman B Salesman C
s = 0 (0, ) (0, ) (0, )
s = 1 (1, ) (1, ) (1, )
s 10 (10, ) (10, ) (10, )
Answer 84.500
Step-by-step explanation: you have to multiply 1,300x65 then 300x 40
and then 12,000
help! will give brandie’s t to correct answer
Answer:
0.25+0.6= 0.9166666667 or 11/12
Step-by-step explanation:
hope this helps
. SCULPTURE An artist creates two metal sculptures in the shape of regular octagons. A side of the larger sculpture is 3.5 times longer than a side of the smaller octagon. The area of the smaller octagon is 19.28 square inches.
a. What is the area of the larger octagon?
b. The artist is going to pack the sculptures in a cylindrical box to take them to an art show. To the nearest inch, what is the diameter of the smallest box he can use? Explain your reasoning. (Hint: Find the radius of the larger octagon.)
By using what we know about octagons, we will see that:
a) The area is 244.89 in^2b) The diameter is 18.58 inWhat is the area of the larger octagon?
For an octagon of side length S, the area is:
A = 2*(1 + √2)*S^2
In this case, the area of the smaller octagon is:
19.28 in^2 = 2*(1 + √2)*S^2
Solving for S we get:
S = √( 19.28 in^2/(2*(1 + √2))) = 2.03 in
If we apply an enlargement of a factor 3.5, the new side length is:
S' = 3.5*2.03 in = 7.11 in
Then the area of the larger octagon is:
A' = 2*(1 + √2)*(7.11 in)^2 = 244.89 in^2
b) For an octagon of side length S, the radius is:
R = S*√(1 + 1/√2)
Then the radius of the larger octagon is:
R' = (7.11 in)*√(1 + 1/√2) = 9.29 in
Then the diameter of the box must be:
D = 2*R' = 2*9.29 in = 18.58 in
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the statement "If A, then B" can be best described as
The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.
On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).
The vertex is the maximum value.
The axis of symmetry is x = negative one-half.
The domain is all real numbers.
The range is all real numbers.
The function is decreasing from (−∞, 6.75).
Figure #2 Volume =____ in^3
Answer:
480 in^3
Step-by-step explanation:
Multiplying the length of each of the sides together gives the volume, so [tex]12*4*10=480[/tex]
Amelia is using substitution to determine if 8 is a solution to the equation. Complete the statements. 6a = 42 for a = 8 First, Amelia must substitute 8 for the using. To simplify, Amelia must. 8 a solution of the equation.
Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.
What is algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Amelia is using substitution to determine if 8 is a solution to the equation. The equation which is Amelia is solving for a = 8 is,
[tex]6a = 42[/tex]
First, Amelia must substitute 8 for the variable using parentheses as,
[tex]6(8) = 42[/tex]
To simplify, Amelia must. multiply 8 by 6.
[tex]48 \neq 42[/tex]
The left hand side of the eqqation is not equal to the right hand side. Thus, 8 is not a solution of the equation.
Thus, Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.
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Answer:
it is a
Step-by-step explanation:
PLEASE HELP MEEEEE PLEASE ASAP
The function g is defined by the following rule.
g(x) = 5x-1
Answer:
Below
Step-by-step explanation:
i need help on this question
Answer:
1st question
Sry if its wrong xx
PLEASE HELP ME IN THIS QUESTION!!!
Answer:
CD = 16
Step-by-step explanation:
Segments EF and EC are tangent and secant respectively to the circle drawn from external point E.
Thus, by tangent-secant theorem:
[tex]ED\times EC= EF^2[/tex]
[tex]\implies x(x+x+7)= (15)^2[/tex]
[tex]\implies 2x^2+7x= 225[/tex]
[tex]\implies 2x^2+7x-225=0[/tex]
Comparing above quadratic equation with [tex]ax^2+bx+c=0[/tex], we find:
a = 2, b = 7, c = -225
Now, we find the value of the discriminant
[tex]\implies b^2-4ac= (7)^2-4(2)(-225)= 1849[/tex]
Now, by quadratic formula:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\implies x=\frac{-7\pm\sqrt{1849}}{2(2)}[/tex]
[tex]\implies x=\frac{-7\pm (43)}{4}[/tex]
[tex]\implies x=\frac{-7+ 43}{4}\: or\:x=\frac{-7- 43}{4} [/tex]
[tex]\implies x=\frac{36}{4}\: or\:x=\frac{- 50}{4} [/tex]
[tex]\implies x=9\: or\:x=-12.5 [/tex]
x represents length, so it can't be negative.
[tex]\implies x\neq -12.5[/tex]
[tex]\implies x=9[/tex]
CD = x + 7
-> CD = 9 + 7
-> CD = 16
Phoebe spent $12.87 at the bookstore. She paid with a $20 bill. How much is her change?
Answer:
$7.13
Step-by-step explanation:
Very simple, we subtract 12.87 from 20 and the answer is 7.13.
So should get back $7.13 as her change
Simplify 15(10-4-2)
14
015/2
52-4110
O 105-4110
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
let's simplify ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{5} (10 - 4 \sqrt{2} )[/tex]
[tex]\qquad \sf \dashrightarrow \: ( \sqrt{5} \times 10) - ( \sqrt{5} \times 4\sqrt{2)} [/tex]
[tex]\qquad \sf \dashrightarrow \: 10 \sqrt{5} - 4\sqrt{10} [/tex]
A rectangular box with a square base and no top is to have a volume of 108
The value in cubic yards is 3.996yd³.
What is the volume of the rectangular box?The volume of a rectangular box can be calculated if you know its three dimensions: width, length, and height.
A rectangular box with a square base and no top is to have a volume of 108ft³.
We are to convert the dimension to cubic yards. Using the conversion factor
1 ft³ = 0.0370yd³
108ft³ = x
Cross multiply
1 × x = 108 × 0.0370
x = 3.996
Hence, the value in cubic yards is 3.996yd³.
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Which scatterplot represents the data that would be best modeled by a quadratic function?
A scatter plot uses dots to represent values for two different numeric variables and determine whether or not two variables have a relationship or correlation.
What is a scatterplot?
Your information is incomplete. Therefore, an overview of the scatterplot will be given. A scatterplot simply means is a type of plot using Cartesian coordinates to display values for two variables for a set of data.
In this case, a scatter plot uses dots to represent values for two different numeric variables and determine whether or not two variables have a relationship or correlation.
The position of each dot on the horizontal and vertical axis shows the values for an individual data point.
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1. (03.04)
What are the zeros of f(x) = (x - 5)(x – 4)(x - 2)? (2 points)
Answer:
for x=5, x=4 , x=2
Step-by-step explanation:
zero points, the x values that make this formula to be zero.
5-5=0
4-4=0
2-2=0
these values satisfied
.) What is the sum? -3/4+(-3/4)
Answer:
The answer is -1.5
Step-by-step explanation:
Hope that helps.
Answer:
Step-by-step explanation:
-3/4 + (-3/4) remove parentheses
-3/4- 3/4 calculate the difference
-3/2 or - 1 1/2 or -1.5
can you please help me?
Answer:
$91.30
Step-by-step explanation:
Hours worked on Monday: 8.30 hours (4.15 in the morning and 4.15 in the afternoon)
8.30 hours x $11 per hour: $91.30
Vic has 14 coins in nickels and quarters the value of this coins is 1.70 how many quarters does he have
Answer:
4 quarters
Step-by-step explanation:
4 quarters = $1
14 nickels = $0.70
.
apair of gloves
that were originally $18 but are
marked 75% off. How much
money did Marissa save?
met
t
h
Answer:
13.5
Step-by-step explanation:
because 18 times 75 equals 1350 then you divide 1350 by 100 and you get 13.5
What is the area of the shaded sector of the circle? 20pi units squared 40pi units squared 180pi units squared 400
The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².
What is the sector of a circle?
A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.
The radius of the sector =20 units
Central angle subtended by sector = 162° = 162π/180 radians
As we know the area of a sector= 0.5r²α
where r is the radius and α is the central angle.
So, the area of the given sector = 0.5*20²* 162π/180
The area of the given sector = 180π unit²
Therefore, The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².
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Answer:
its c
Step-by-step explanation:
Little helppp please
Answer:
Answer given above
Step-by-step explanation:
a.) 6 m n^8
b.)2x^8 y^3
c. ) d^3 e
Which is the solution to the inequality?
28
8
15
15
Obc2 1/5
O b>21
o b<373
O b>3
b>
Answer:
b > 3 2/15
Step-by-step explanation:
2 3/5+ 8/15<b
9+8
2-----------=2 17/15
15
=2+ 1 2/15
=3 2/15 <b
b> 3 2/15
Answer:
b > 3 2/15
Step-by-step explanation:
2 3/5 < b - 8/15
Convert the number
2 × 5 + 3/5 < b - 8/15
10 + 3/5 < b - 8/15
13/5 < b - 8/15
Rearrange the terms
-b < -8/15 - 13/5
Transform the expression
-b < -8 - 39/15
Calculate
-b < -47/15
Divide both sides
b > -47/15 = b > 3 2/15
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indicate the formula for the following conditions.
P(n,r) = ?
Answer:
P (n,r)= [tex]\frac{n!}{(n-r)!}[/tex]
Step-by-step explanation:
P (n,r)= ?
complete formula for permutation of objects in a set:
P (n,r) = [tex]\frac{n!}{(n-r)!}[/tex]
3-5 1/3 on a number line