Step-by-step explanation:
21% of 36570
21/100 x 36570 = 7679.7
12.2% of 640
12.2/100 x 640 = 78.08
87.5% of 860
87.5/100 x 860 = 752.5
37.5% of 3200
37.5/100 x 3200 = 1200
Which one of the following is discrete data?
Answer:
Number of people in a room
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
part 1. Find the value of the trig function indicated, use the Pythagorean Theorem to find the 3rd side if you need it
Answer: [tex]\bold {1)\ \cos\ \theta}=\dfrac{\sqrt2}{2}\qquad 2)\ \tan \theta =\dfrac{1}{3}\qquad 3)\ \cos\ \theta=\dfrac{3\sqrt{13}}{13}\qquad 4)\ \cos\ \theta = \dfrac{2\sqrt5}{5}}[/tex]
Step-by-step explanation:
Pythagorean Theorem is: a² + b² = c², where "c" is the hypotenuse
[tex]1)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt2}\quad =\large\boxed{\dfrac{\sqrt2}{2}}[/tex]
Note: 2² + 2² = hypotenuse² → hypotenuse = 2√2
[tex]2)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{2}{2\sqrt2}\quad =\dfrac{5}{15}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]
Note: hypotenuse not needed for tan θ
[tex]3)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3}{\sqrt{13}}\quad =\large\boxed{\dfrac{3\sqrt{13}}{13}}[/tex]
Note: 2² + 3² = hypotenuse² → hypotenuse = √13
[tex]4)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{2\sqrt5}\quad =\large\boxed{\dfrac{2\sqrt5}{5}}[/tex]
Note: hypotenuse given in problem
The function g has an inverse. The function g − 1 determines the number of folds needed to give the folded paper a thickness of t mm. Write a function formula for g − 1 .
Answer:
[tex]\mathbf{g^{-1} (t) = log _2 \ 20 \ t}[/tex]
Step-by-step explanation:
Here is the full question
A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times. We'll assume we can make "perfect folds," where each fold makes the folded paper exactly twice as thick as before - and we can make as many folds as we want.
Write a function g that determines the thickness of the folded paper (in mm) in terms of the number folds made, n. (Notice that g(0) 0.05,)
[tex]g(n )= (05)2^n[/tex]
The function g has an inverse. The function g⁻¹ determines the number of folds needed to give the folded paper a thickness of t mm. Write a function formula for g⁻¹).
SOLUTION:
If we represent g(n) with t;
Then
[tex]\mathbf{t = (0.05)2^n} \\ \\ \mathbf{\dfrac{t}{0.05} = 2^n} \\ \\ \mathbf{\dfrac {100 \ t }{ 5} = 2^n} \\ \\ \mathbf{20 t = 2^n}[/tex]
Taking logarithm of both sides; we have :
[tex]\mathbf{log (20 t) = n log 2} \ \ \ \mathbf{(since \ , log \ a^b = b \ log \ a) } \\ \\ \mathbf{n = \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) = \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) = log _2 \ 20 \ t}[/tex]
(08.02)Using the following data, calculate the mean absolute deviation:
10, 7, 1, 6, 7, 9, 8, 10, 2, 5
What is the mean absolute deviation for these data?
Answer:
7
Step-by-step explanation:
10+7+1+6+7+9+8+10+2+5
-----------------------------------
10
65 ÷ 10
= 6.5, round up, = 7
Answer:
I took the quiz and the answer is 7
Step-by-step explanation:
PICTURE ATTACHMENT IS BELOW
Answer:
10% = 1/10
20% = 1/5
100% = 3/3
75% = 3/4
Step-by-step explanation:
Answer:
Awnser is down below
Step-by-step explanation:
75= 3/4
20= 1/5
10 = 1/10
100= 3/3
Hope this helps :)
The right trapezoid below has been decomposed into a rectangle and a right triangle.Find it's area two ways: By summing the areas of the rectangle and triangle.
Answer:
103.5 m²
Step-by-step explanation:
To find the area of a right trapezoid, you can decompose it into a rectangle and a triangle. The sum of the area of the rectangle and the triangle gives the area of the trapezoid.
For the right trapezoid attached below, the area can be gotten by:
Area of rectangle = length × breadth = 9 × 8 = 72 m²
Area of triangle = 1/2(base × height) = 0.5 × 7 × 9 = 31.5 m²
Area of trapezoid = Area of rectangle + Area of triangle = 72 m² + 31.5 m² = 103.5 m²
I wiol mark you brainliest!!! Use the substitution method to solve the system of equations.
Answer: b. (6,27)
Step-by-step explanation:
y=5x- 3 x=6<---- put in the equation
y=5(6)-3 <------- mulitply 5 and 6
y=30-3 <---- subtracted
y= 27. <---- y value.
Answer being (6,27)
Hope it helps :)
3a^2 * 2a^3
multiply the monomial
Answer:
6a^5
Step-by-step explanation:
3a^2*2a^3
3×2+a^2×a^3
6a^5
Answer:
The answer is 6a⁵.
Step-by-step explanation:
You have to use Indices Law,
[tex] {a}^{m} \times {a}^{n} \: ⇒ \: {a}^{m + n} [/tex]
So for this question :
[tex]3 {a}^{2} \times 2 {a}^{3} [/tex]
[tex] = (3 \times 2) \times ( {a}^{2 + 3}) [/tex]
[tex] = 6 \times {a}^{5} [/tex]
[tex] = 6 {a}^{5} [/tex]
what is the solution to -5x-7=3
Answer:
x = -2
Step-by-step explanation:
-5x - 7 = 3
-5x = 10
x = 10/-5
x = -2
yo pleaseee help me w these!! marking brainiest!!!
Please help me with this
Answer:
V of cylinder = V=πr^2h
V of rectangular prism = l*w*h
V of cylinder = 16 * 3.14 * 8
= 401.92
V of rectangular prism = 14 * 8 * 12
= 1344
Add = 401.92 + 1344
= 1,745.92
1,745.92 is the answer.Rounded the answer is CAt the corner store near Billy’s
house, loose mixed nuts cost
$1.75 per 100 g. Write an
equation to represent the amount
of mixed nuts, n, he can buy if he
has d dollars. Then, use your
equation to determine how many
grams of mixed nuts Billy can buy
if he has $5.
Answer:
d = 0.0175n ---> required equation
Billy can buy 285.714 gram nut with $5
Step-by-step explanation:
cost of 100g loose nut = $1.75
dividing LHS and RHS by 100
cost of 100/100g loose nut = $1.75
Thus, cost of 1 gm loose nut = $0.0175
let the weight of loose nut be n gm
Multiplying LHS and RHS by n
cost of x g loose nut = $0.0175*n = $0.0175n
It is given that Billy spent d dollars to buy n gm nuts
thus,
d = 0.0175n ---> required equation
________________________________________________
He spent $5 to buy nuts
substituting value of d as 5 we have
0.0175n = 5
=>n = 5/0.0175 = 285.714
Thus, Billy can buy 285.714 gram nut with $5.
express 0.3°8° in form a/b where by b#0
Answer:
0.3° = 0.3π/180
8° = 2π/45
Multiplying both
0.3π/180×2π/45
3/10π/180 × 2π/45
You will get
π/300 × π/45
= π²/13500 where a = π² b= 13500
Hope this helps.
Simultaneous equation
Answer:
x = 5, y = 9.
Step-by-step explanation:
8^x / 2^y = 64
3^4x * (1/9)^(y -1) = 81
From the first equation
2^3x / 2^y = 2^6
2^(3x-y) = 2^6
So 3x - y = 6 ..........(1)
From the second equation:
3^4x * 9^(-(y-1)) = 3^4
3^4x * 3^2(-(y-1)) = 3^4
3^(4x+ 2(1 - y)) = 3^4
So 4x + 2(1 - y) = 4
4x - 2y = 2
2x - y = 1 .............(2)
Subtract: (1) - (2):
x = 5.
and 2(5) - y = 1
so y = 9.
Solving the simultaneous equations we get x is 5 and y is 9 .
Simultaneous equations in algebra are those that concurrently involve two or more variables, such as x and y. Even though they are solved simultaneously, the equations are known as simultaneous equations. Just these equations alone have innumerable answers.
A system of equations, often known as an equation system, is a collection of finite equations for which common solutions are sought.
The two given equations can be simplified as:
[tex]8^x \div 2^y = 64\\\\or,\frac{2^{3x}}{2^y} =2^6\\\\or, 2^{3x-y}=2^6\\\\or, 3x-y = 6[/tex]
And :
[tex]3^{4x} \times (\frac{1}{9})^{y-1}=81\\\\or, 3^{4x} \times 3^{-2(y-1)}=3^4\\\\or, 3^{4x+2-2y}=3^4\\\\or, 4x-2y = 2\\\\or,2x-y=1[/tex]
Now we can solve the two simultaneous equations :
3x - y = 6 and 2x - y = 1
Subtracting the equations we get:
x = 5
and
y = 9
Solving the simultaneous equations we get the value of x as 5 and the value of y as 9 .
To learn more about simultaneous equations visit:
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How do I post a picture
Answer:
Go to me. Click on your profile picture then click on your profile picture again to change it
Q, A fruit seller buys 10 apples for Rs. 45 each from wholesale market .He packs them in a fruit basket for 40 and sells them each for 20 bakets Rs. 600 .Is it loss or gain
Answer:
It is a gain.
Step-by-step explanation:
CLEAR STATEMENT:
Given that the fruit seller buys 10 apples for 45Rs each from wholesale market.
This implies her buys them for 10 × 45Rs = 450Rs.
UNCLEAR STATEMENT:
He packs them in a fruit basket for 40 and sells them each for 20 baskets Rs. 600.
ASSUMING:
What you are trying to say is that he bought baskets for 40Rs, and sold the apples for 600Rs.
Subtracting his expenses from this value, we have
600Rs - 450Rs - 40Rs = 110Rs
Since this amount is positive, we conclude that it is a gain of 110Rs.
A number is equal to twice a smaller number plus 3. Yhe same number is equal to twice the sum of smaller number and 1. How many soluyions are possible for this situation
Answer:
There is no solution to the problem
Step-by-step explanation:
In order to find the solutions to the problem you can write the situation in an algebraic form.
You have that a number is equal to twice a smaller number plus 3. This can be written as follow:
[tex]x=2y+3[/tex] (1)
where x is the number and y is the smaller number
Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:
[tex]x=2(y+1)[/tex] (2)
To find the solution you equal the equation (1) with (2), and you solve for y:
[tex]2y+3=2y+1[/tex]
[tex]3=1[/tex]
You obtain an inconsistency, hence, the situation of the problem does not have solution
What is the value of x?
Answer:
x = 20
Step-by-step explanation:
The angles are vertical angles and we know that vertical angles are equal
x+40 = 3x
Subtract x from each side
x+40-x = 3x-x
40 = 2x
Divide each side by 2
40/2 = 2x/2
20 =x
Answer:
The value of [tex]x[/tex]:
[tex]x = 20[/tex]
Step-by-step explanation:
-Since, one angle with the measure [tex]x + 40[/tex] and another angle with measure [tex]3x[/tex] are vertical angles, they equal each other. So, it will be written as:
[tex]x + 40 = 3x[/tex]
-After you have formed an equation, you switch the equation and you solve for the value of [tex]x[/tex]:
[tex]x + 40 = 3x[/tex]
[tex]x - x + 40 = 3x -x[/tex]
[tex]40 = 2x[/tex]
[tex]\frac{40}{2} = \frac{2x}{2}[/tex]
[tex]20 = x[/tex]
So, the final answer is [tex]20 = x[/tex] or [tex]x = 20[/tex] (They are both the same, you just switch them).
Consider The Function Represented By The Table.
What Is f(0)?
A)4
B)5
C)6
D)7
Answer:
The answer is "Option C".
Step-by-step explanation:
In the given question attachment of the table is missing which can be defined as follows:
[tex]\left\begin{array}{cc}\bold{x} &\bold{f(x)}\\0 & 6 \\2 & 7\\4 & 0\\7 & 5 \end{array}\right[/tex]
In given table a method f(x) values corresponding to different values of x.
We needed to try f(0) value that is in this method, we have to calculate the f(x) value if x=0
As we've seen from the table the f(x) value at x=0 is 6
That's why the correct choice is option C that is 6.
Answer:
The answer would be C
Step-by-step explanation:
I just took the test !!
PLS HELP will give brainliest
If a graph is symmetric with respect to the x-axis, then it cannot be symmetric with respect to the y-axis.
A. FALSE
B. TRUE
Answer:
False, it could be.
Airborne Airlines Inc. has a $1,000 par value bond outstanding with 20 years to maturity. The bond carries an annual interest payment of $102 and is currently selling for $880. Airborne is in a 30 percent tax bracket. The firm wishes to know what the aftertax cost of a new bond issue is likely to be. The yield to maturity on the new issue will be the same as the yield to maturity on the old issue because the risk and maturity date will be similar.
a. Compute the yield to maturity on the old issue and use this as the yield for the new issue. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
b. Make the appropriate tax adjustment to determine the aftertax cost of debt. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
Answer:
(a) 11.64%
(b) 8.15%
Step-by-step explanation:
Airborne airlines has an annual interest of payment= $102
Principal payment= $1,000
Time to maturity= 20 years
Current price of the bond= $880
The formular for calculating the yield on maturity is
[ Annual interest payment+Principal payment-(price of the bond/number of years to maturity)] / 0.6(price of the bond) + 0.4(principal payment)
(a) [102+(1000-880)/20)]/ [0.6(880) + 0.4(1000)]
= [102+ (120/20)]/ [528+400]
= [102+6]/ 928
= 108/928
= 11.637%
= 11.64% ( to 2 decimal places)
(b) Kd= Yield(1-T)
Kd= 11.64(1-0.30)
Kd= 11.64×0.7
Kd= 8.145%
Kd= 8.15%( to 2 decimal places)
Hence the yield to maturity on the new issue is 11.64% and the aftertax cost of debt is 8.15%
what is 100,000 written as a power with a base of 10? ANSWER QUICK
Answer:
Its either 10 to the power of 6 or ten to the power of 5
Step-by-step explanation:
...
Ian has 20 football cards, and Jason has 44 baseball cards. They agree to trade such that jason
gives Ian 2 baseball cards for every card Ian gives to Jason. After how many such trades will Ian
and Jason each have an equal number of cards?
Answer:
12 trades
Step-by-step explanation:
Let's call 'x' the number of trades they will do.
After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.
To find the number of trades when they will have the same amount of cards, we have that:
20 + x = 44 - x
2x = 24
x = 12 trades
The number of trades will Ian and Jason each have an equal number of cards is 12 trades
The calculation is as follows;
Let's us assume the x' be the number of trades they will do.
20 + x = 44 - x
2x = 24
x = 12 trades
Learn more: brainly.com/question/16911495
Identify the transformed coordinates of the line segment A (4, 7) and B (9, 7)
when it is reflected across x-axis.
Answer: A (4, -7) B (9, -7)
Step-by-step explanation:
When it’s reflected over the x-axis, the y coordinates become negative but the x coordinates don’t change
x coordinates: 4, 9
y coordinates: 7, 7
Reflected over x-axis: (4, -7), (9, -7)
what is the center of a circle whose equation is x^2+y^2-12x-2y+12=0
Answer:
(6, 1)
Step-by-step explanation:
Answer:
centre = (6, 1 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 2y + 12 = 0
Collect the x and y terms together and subtract 12 from both sides
x² - 12x + y² - 2y = - 12
To obtain the equation in standard form use completing the square
add ( half the coefficient of the x/ y term )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 1)y + 1 = - 12 + 36 + 1
(x - 6)² + (y - 1)² = 25 ← in standard form
with centre = (6, 1 ) and radius = [tex]\sqrt{25}[/tex] = 5
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number? ( please hurry i need to finish my assesment )
A.) - 4
B.) - 30
C.) 4
D.) 30
Answer: -4
Step-by-step explanation:reverse the steps
3(x-7)= -9
3(x-7)/3= -9/3
x-7= -3
x= -3+7
x= -4
Can anyone help me ?????
Answer:
Step-by-step explanation:
The graph of a function and its inverse will always reflect through the line
y = x.
This is because a function has a specific set of coordiates, (x, y). That function's inverse has a set of coordinates that flips the x and y coordinates. For example, if a function has a set of coordinates (0, 1), (2, 3), (4, 5) then its inverse will have the coordinates (1, 0), (3, 2), (5, 4). If you plot the function's points and then the inverse's points in the same plane (meaning on the same graph) and connect the dots, you will see that the function and its inverse are reflections of each other through y = x. Below is an example of this. The dotted purplish line is the line y = x.
Solve this using the substitution method please!! Y=425x+1139/Y=495x
PLEASE HELP !!!!!! PLEASE
Answer: D. (I, II, and III)
Step-by-step explanation:
having a ticket doesn't necessarily mean you will win the lottery, but you must have a ticket to win
not all numbers divisible by 3 are divisible by 6, but all numbers divisible by 6 are also by 3 (since 3 goes into 6 twice)
if a quadrilateral is a square, it is also a rhombus
Answer:
It is D.
Step-by-step explanation:
If you win the lottery, then you will need a ticket. But, if you have a ticket, it doesn't mean that you'll win the lottery.
If a number is divisible by 3. it is not necessarily divisible by 6. For example, 9 ÷ 3 = 3, but 9 ÷ 6 will not equal a whole number.
All squares are rhombuses, but not all rhombuses are squares (they need to have all interior right angles).
Just the top half is what I need help with. I will give the the big
Answer:
Step-by-step explanation:
5.volume=8×7×6=336 mi³
6.r=16/2=8 yd
volume=4/3×π×8³=2048/3 π yd³
≈2144.7 yd³
7.r=2.5/2=1.25 in
v=πr²h=π×1.25²×5
volume of 150 cups=7.8125 π×150=1171.875 π in³≈3681.6 in³
8. statement not visible.
