Answer:
The answer is 25 feet.
Step-by-step explanation:
You have to apply Pythagoras Theorem :
[tex] {c}^{2} = {15}^{2} + {20}^{2} [/tex]
[tex] {c}^{2} = 625[/tex]
[tex]c = \sqrt{625} [/tex]
[tex]c = 25 \: feet[/tex]
A new car is purchased for 23900 dollars. The value of the car depreciates at 9.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 6000 dollars?
9514 1404 393
Answer:
14.2 years
Step-by-step explanation:
The value is described by the exponential function ...
y = (initial value)·(decay factor)^x
where y is the value after x years.
The decay factor is (1 - annual depreciation) = 1 - 0.0925 = 0.9075, so we want to find x when ...
6000 = 23900·0.9075^x
6000/23900 = 0.9075^x . . . . . . . . . . . . . . divide by 23900
log(6000/23900) = x·log(0.9075) . . . . . . . take logarithms
x = log(6000/23900)/log(0.9075) ≈ 14.2396
It will be about 14.2 years until the value of the car is $6000.
Answer:
14.2
Step-by-step explanation:
The diameter of a cylinder is 2,000 in. The height of the cylinder is 8,000 in. What is the approximate volume of the cylinder? Use 3.14 for pi
the volume of the cylinder is 25,120,000,000 cubic in.
Solve for x
(-4x + 4).-3= 24
answer:27
because -4 +4 = 0 x -3= -3 +27= 24
a. What is the circumference of the
largest circle that can be cut from a
square measuring 30 cm on a side?
Use 3.14 for Pie
b. What percent of the perimeter of the
square is the circumference of the
circle?
Answer:
a) 94.2 cm
b) 78.5%
Step-by-step explanation:
a) since the square side = 30 cm
it means the diameter = 30 cm
then circumference of the largest circle that can be cut = 3.14×30 = 94.2 cm
b) the perimeter of the square = 30×4 = 120
94.2 for 120
x% for 100%
x = (100×94.2)/120 = 9420/120 = 942/12 = 78.5%
WILL GIVE BRAINLIEST! (Please hurry)
Which algebraic expression has like terms?
A. 9n3 - 2n+ 3 - 4n2
B. 7n3 + 3n - 3 - 6n2
C. 7n3 + 4n - 3n3 - 5n2
D. 6n3 - 4n4 + 6n - 5n2
Answer:
B!!
Step-by-step explanation:
Answer:
b! is the answer :):):):)
Adult tickets to a basketball game cost $5. Student ticket cost $1. A total of 2,814 was collected on the sale of 1,150 ticket. How many of each type of ticket were sold?
Answer:
Adult: 333 tickets, Student: 1664 tickets
Given d(t) = -2t^2 - 3t + 13, what is the
value of d(-3)?
A) d(-3) = 4
B) d(-3) = 40
C) d(-3) = 58
D) d(-3) = -14
Answer:
I'm pretty sure b is the answer
Plz help I need this for my grade report cards are coming out
Answer:1.5
1st box: 0.75
2nd box: 1.5
3rd box: 3
4th box: 28
Step-by-step explanation:
First I got the 4th box. I found out 3.5x2=7, and 7x2=14. So I know the pattern is multiply by 2.
Then I got the 3rd box. I used a proportion. (14x6)/28= 3
Then the 2nd box. I did (3x7)/14=1.5
Lastly, I did the 1st box. (1.5x3.5)/7= 0.75
I hope that helped :)
Answer:
1.19
69.9
Per
6 have a great day
Screenshot below, please help
Answer:
Angles 2 and 5
Step-by-step explanation:
The first choice is wrong because they are not equivalent to each other
Can you plzzzzz help me?
Answer:
65 people
Step-by-step explanation:
0 represents the unknown value
0-19= -19
-19+17= -2
63+ the two that were lost during the journey=65
Can you please help me solve for x for this triangle please!!
Answer:
See below, please!
Step-by-step explanation:
Since this triangle is a right triangle, the two acute angles are always going to be complementary (adding up to 90 degrees). So we can set up an equation: 2x+3x+5=90. Solve this and we get x=17.
Hope this helped!
The perimeter of a regular hexagon is 78 cm .What will be the length of each side?
Answer:
13 cm
Step-by-step explanation:
78/6=13
Answer:
13cm
Step-by-step explanation:
regular means the sides are equala hexagon has 6sides78/6=13Okay hopefully the picture went but I need help foiling this please
Answer:
[tex]x^{2}[/tex] - [tex]z^{2}[/tex] - 2z[tex]\sqrt{5}[/tex] - 5
Step-by-step explanation:
This is the equation that you started off with:
(x - z - [tex]\sqrt{5}[/tex])(x + z + [tex]\sqrt{5}[/tex])
You can't really use FOIL on this because that's used in multiplying binomials, and this is a trinomial, but you can still break it up and simplify it this way:
(a + b + c)*(d + e + f) = (a(d + e +f)) + (b(d + e + f)) + (c(d + e + f))
So, applying that idea to the actual equation:
x(x + z + [tex]\sqrt{5}[/tex]) -z(x + z + [tex]\sqrt{5}[/tex]) - [tex]\sqrt{5}[/tex](x + z + [tex]\sqrt{5}[/tex])
= x^2 + xz + x[tex]\sqrt{5}[/tex] -xz -z^2 - z[tex]\sqrt{5}[/tex] - x[tex]\sqrt{5}[/tex] - z[tex]\sqrt{5}[/tex] - 5
= x^2 - z^2 - 2z[tex]\sqrt{5}[/tex] - 5
or [tex]x^{2} - z^{2} - 2z\sqrt{5} - 5[/tex]
Drag tiles to match each fraction, decimal, or percent to an equivalent number.
24/25 3/5 9/50 26% 0.35
0.96 60% 0.18 13/50 7/20
PLEASE ANSWER ASAP
Answer:36%=9/25 17/50=34% 0.18=18% 1/4=0.25 Hope that helped:)
Step-by-step explanation:
The solution to the equation is
a) 24 / 25 = 0.96
b) 3/5 = 60 %
c) 9 / 50 = 0.18
26 % = 13 / 50
0.35 = 7 / 20
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
a)
24 / 25
The value of the fraction A = 24/25 is
A = 0.96
Therefore , A = 24/25 = 0.96
b)
3/5
The value of the fraction A = 3/5
Multiply the numerator and denominator by 20 , we get
A = 3/5 x 20/20
A = 60 / 100
A = 60 %
Therefore , A = 3/5 = 60 %
c)
9/50
The value of the fraction A = 9/50
Multiply the numerator and denominator by 2 , we get
A = 3/5 x 2/2
A = 18 / 100
A = 0.18
Therefore , A = 9/50 = 0.18
d)
26 %
The value of the fraction A = 26 %
Convert the percentage A = 26 % into fraction , we get
A = 26/100
A = 13 / 50
A = 13/50
Therefore , A = 26 % = 13/50
e)
The value of the fraction A = 0.35
Convert the decimal A = 0.35 to fraction , we get
A = 35 / 100
Divide the numerator and denominator by 5 , we get
A = 7 / 20
Therefore , A = 0.35 = 7 / 20
Hence , the value of the equation A is
a) 24 / 25 = 0.96
b) 3/5 = 60 %
c) 9 / 50 = 0.18
26 % = 13 / 50
0.35 = 7 / 20
To learn more about equations click :
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determine the value of k if g(x)=4x-k is a tanget to f(x)=-x²+8x+20
Answer:
This seems to be incomplete because we do not know where g(x) must be tangent to f(x). So i will assume that we want g(x) to be a tangent to f(x) in the point x0.
We know that for a function f(x), f'(x) is the tangent function in at the point x.
Where f'(x) = df(x)/dx
So we can find a value of k that is equal (for some value of x) to the first derivative of f(x).
g(x) = 4*x - k
f(x) = -x^2 + 8*x + 20
f'(x) = -2*x + 8
Now we want to find a value of k such that:
4*x0 - k = -2*x0 + 8
4*x0 - k = -2*x0 + 8
4*x0 + 2*x0 - 8 = k
6*x0 - 8 = k
Then if we want g(x) to be a tangent to f(x) = -x²+8x+20 in the point x0, we must have k = 6*x0 - 8
For the past several years, the high school theater department has performed a musical in their auditorium. Each year since the first, they have raised ticket prices by $0.25, however the department has also noticed a decline in the number of people attending each year. This year, they are analyzing the ticket prices, attendance, and sales to determine the ticket price that maximizes their sales.
If the measure of arc RT = 80 degrees and the measure of arc US = 40 degrees, what is the m<2?
You buy a new computer for $2000. The computer decreases value by 25% each year. Given the equation V(t)=2000(.75)t , where V represents the computer's value in dollars and t represents the time in years. After how many years will the computer be worth half the original value? Give your answer to 3 decimal places.
Answer: You would need 3 years till the total value is less than the 2,000.
Step-by-step explanation:
Year 1.) 1,500
Year 2.) 1,125
Year 3.) 843.75
Which of the following statements are equivalent to the statement
"price increased by 100%"?
Choose all correct answers.
(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter
(D) The price became a half of what it was before
(E) The price is now 1.5 of what it was before
(F) The price now is 662 % of what it was before
3
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before
The given statement "price increased by 100%" is same as the price doubled.
What is the meaning of price increased by 100%?The price increased by 100% means that the price becomes double of the initial number.
Given is the statement as -
"price increased by 100%"
The given statement "price increased by 100%" is same as the price doubled
Therefore, the given statement "price increased by 100%" is same as the price doubled.
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in this figure prove that cd//ef
Answer:
1) 36 + 50 = 86 : Addition property of equality
2) m<D = m<ADB : If two angles have the same measure, then they are equal.
3) <D congruent to <ADB : if two angle are equal, then they are congruent.
4) <D, <ADB are alternate interior angles: assumed from diagram
5) CD // AB : if alternate interior angles are congruent, then the 2 lines cut by a transversal are //.
6) 130 + 50 = 180 : addition property of equality
7) m<E, m<BAE are supplements : if the sum of two angles equal to 180, then they are supplements.
8) <E, <BAE are same-side interior angles : assumed from diagram
9) EF // AB : if same-side interior angles are supplements, then the 2 lines cut by a transversal are //.
10) CD // EF : if two lines are // to the same line, then they are //.
im pretty sure this is the proof
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=38(1.108)^x
Step-by-step explanation:
We are given this function:
y=8700* (1.04)^{4}y=8700∗(1.04)
4
8700 is the initial amount.
1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.
1.04 * 100% = 104%
Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.
In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.
104% - 100% = 4%
This would be our solution if we don't have an exponent.
We have exponent so first step is to calculate the number and then we repeat the steps from above.
1.04^{4} = 1,169858561.04
4
=1,16985856
1,16985856 * 100% ≈ 116,99%
116.99% - 100% = 16.99%
So, final solution is growth of 16.99%
We are given this function:
y=8700* (1.04)^{4}y=8700∗(1.04)
4
8700 is the initial amount.
1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.
1.04 * 100% = 104%
Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.
In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.
104% - 100% = 4
This would be our solution if we don't have an exponent.
We have exponent so first step is to calculate the number and then we repeat the steps from above.
1.04^{4} = 1,169858561.04
4
=1,16985856
1,16985856 * 100% ≈ 116,99%
116.99% - 100% = 16.99%
So, final solution is growth of 16.99%
14.The volume of a cube whose edge is 3x is _______.
FASTT!!!
Answer:
[tex]27x^3[/tex]
Step-by-step explanation:
Find the Perimeter of the parallelogram with endpoints A(0, 2), B(2,5), C(5,0), and D(3,
-3).
Answer:
6 + 4 + 6 + 4 = 20
Step-by-step explanation:
Using the end points is very helpful from 1 end point to the other count as much as the squares as possible along the line until it reaches the other endpoint.
I’m a bit slow, help please
Which value is a solution of the inequality 1/4 y
_ >8
Noah says that 9x−2x+4xis equivalent to 3x, because the subtraction sign tells us to subtract everything that comes after 9x.
Elena says that 9x−2x+4xis equivalent to 11x, because the subtraction only applies to 2x.
Who is correct? And why are they correct?
Group of answer choices
Elena
Noah
In order for a rhombus to be proven using either its sides or angels, it must first be proven to be a
Answer:
It must be proven to be a quadrilateral
Step-by-step explanation:
The question is straightforward, and it requires a direct answer.
A rhombus has four sides and as such it means it is a type of quadrilateral.
So, before a shape is proven to be a rhombus, it has to first be proven to be a quadrilateral.
A line passes through the points (-3,0) and (2,5). Find its equation in general
form.
what is 8+192x5, please help
Answer:
8+192x5=8+960=968 is your answer
The inequality that will determine the number of items that need to be sold to make a profit is . The solution to the inequality is . The company must sell at least items to make a profit.
Answer:
1: A (7.5x – 100 > 79.86 + 5.8x)
2: D (x > 105.8)
3: D (106)
Step-by-step explanation:
EDG 2021
Answer:
The inequality that will determine the number of items that need to be sold to make a profit is
✔ 7.5x – 100 > 79.86 + 5.8x
The solution to the inequality is
✔ x > 105.8
The company must sell at least
✔ 106
items to make a profit.
Have a bless day. :D