Answer:
h = 41.52 feet
Step-by-step explanation:
The volume is π•radius²•height:
π•4²•h = 2087
16πh = 2087
h = 2087/16π
h ≈ 41.52 feet
Winning the jackpot in a particular lottery requires that you select the correct five numbers between 1 and 35 and, in a separate drawing, you must also select the correct single number between 1 and 45. Find the probability of winning the jackpot.
Answer:
1 / 14608440
Step-by-step explanation:
Given the following :
Winner has to select the five correct numbers between 1 and 35
Then, a single correct number between 1 and 45
Step1:
Number of ways to select 5 corre t numbers between 1 and 35; selecting 5 things from a total of 35 = 35C5
nCr = n! ÷ (n-r)!r!
35C5 = 35! ÷ (35-5)!5!
35C5 = 35! ÷ (30)!5!
= (35 * 34 * 33 * 32 * 31) / (5 * 4 * 3 * 2 * 1) = 324632 ways
Then find number of ways of selecting 1 correct number between 1 and 45:
45C1
45C1 = 45! ÷ (45-1)!1!
45C1 = 45! ÷ (44)!1!
45C1 = 45 ÷ 1 = 45
35C5 * 45C1 = 324632 * 45 = 14608440
Therefore, probability of winning the jackpot :
Required outcome / Total possible outcomes
= 1 / 14608440
How many more festivals had 18 to 23 countries represented than 0 to 5 countries represented?
Answer:
3
Step-by-step explanation:
Here, by reading the histogram, we will provide answer for the question asked.
We want to know how many more festivals had 18 to 23 countries represented than 0 to 5 countries.
Checking the histogram, we can see the 0-5 countries having a value of 1, while the 18-23 has a value of 4.
So, the number of more countries will be simply 4-1 = 3
Answer:
3
Step-by-step explanation:
calculate the amount and compound interest on rupees 4000 at the rate of 8% per annum compounded annually for 2 years
Step-by-step explanation:
To calculate the compound interest we use the formula
C = A - PWhere
A is the amount
P is the principal
C is the compound interest
To find the amount we use the formula
[tex]A = P(1 + \frac{r}{100} ) ^{n} [/tex]where P is the principal
r is the rate
n is the period
From the question
P = 4000 rupees
rate = 8%
n = 2 years
Substitute the values into the above formula
That's
[tex]A = 4000( 1 + \frac{8}{100} )^{2} [/tex][tex]A = 4000 ({1 + 0.08})^{2} [/tex][tex]A = 4000 ({1.08})^{2} [/tex]A = 4665.6
The amount is 4665.60 rupeesSince the amount is found we can now find the compound interest
C = 4665.60 - 4000
C = 665.6
The compound interest is 665.60 rupeesHope this helps you
Need help please help please please please please
What is the rate of change of the function? On a coordinate plane, a line with negative slope goes through points (0, 1) and (1, negative 1). –2 Negative one-half One-half 2 Mark this and return
Answer:
-2
Step-by-step explanation:
slope: (y² - y¹) / (x² - x¹)
(-1 - 1) / (1 - 0) = -2 / 1 = -2
y = -2x + b
plug in an (x, y) value to find b
1 = -2(0) + b
1 = -2 + b
b = 3
y = -2x + 3
rate of change is -2
Answer:
-2
Step-by-step explanation:
given m||n, find the value of x and y
Answer:
x = 145, y = 35
Brainliest, please!
Step-by-step explanation:
y = 35 degrees because it and the original 35 degree angle are alternate interior angles. Alternate interior angles are congruent, or the same.
x is supplementary to y. x + y = 180. x + 35 = 180. x = 180 - 35. x = 145
can someone help me asap?!?:( 2x-y=3 x+2y=-6
The largest circular shape my piece of string can form has a diameter of 8 cm long. How long is the diameter of the largest circular shape that half my piece of string can form?
Answer:
4 cm long
Step-by-step explanation:
since the original diameter was 8cm long we need to cut 8 in half. this leaves us with 4cm which is the diameter of the largest circular shape that half piece can form.
Learn more:
Diameter: brainly.com/question/5501950
HELP ASAP! correct answer gets brainly and 50 points!!!
Solve the equation for π.
A=12πr2
Answer:
π is equal to 3.14
A=πr^2 is the equation to get the area of a circle where r is the radius.
Answer:
π=A/12r2
Step-by-step explanation:
A=12πr2
divide both sides by 12r2
A/12r2=12r2/12r2
π=A/12r2
in a box of 80 glasses,3 are broken.workout percentage of broken glasses
Answer:
3.75%
Step-by-step explanation:
The percent that are broken is the number broken over the total * 100%
3/80 * 100%
.0375 * 100%
3.75%
Answer:
3.75% of the glass are broken
Step-by-step explanation:
3/80 × 100 = 3.75
I hope this helps.
Simplify the expression: 3⋅6−2+2
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------
Answer: 18.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~|
|3 × 6 - 2 + 2.
|
|Multiply 3 and 6 to get 18
\/
18 - 2 + 2 = 18
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Subtract 2 from 18 to get 16.
16 + 2 = 18.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Then, add 16 and 2 to get, you guessed it, 18!A wave has a time period of 0.2 s Calculate the frequency of the wave.
Answer:
[tex]\huge\boxed{f = 5\ Hz}[/tex]
Step-by-step explanation:
Given:
Time period = T = 0.2 sec
Required:
Frequency = f = ?
Formula:
f = 1/T
Solution:
f = 1/0.2
f = 5 Hertz
Answer:
[tex] \boxed{\sf Frequency \ (f) \ of \ the \ wave = 5 \ Hz} [/tex]
Given:
Time Period (T) = 0.2 s
To Find:
Frequency (f) of the wave
Step-by-step explanation:
[tex] \sf Frequency (f) = \frac{1}{Time Period (T)} [/tex]
[tex] \sf f = \frac{1}{0.2} [/tex]
[tex] \sf f = \frac{1}{0.2} \times \frac{10}{10} [/tex]
[tex] \sf f = \frac{10}{2} [/tex]
[tex] \sf f = \frac{ \cancel{2} \times 5}{ \cancel{2}} [/tex]
[tex] \sf f = 5 \: Hz[/tex]
p^2/2+2/q^2)(p^2-2/q^2)
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]( \frac{p^{2} }{2} + \frac{2}{2_{q} }) ( p^{2} - \frac{2}{2_{q}})[/tex]
[tex]= \frac{\frac{1}{2}p^{4}q^{4} + p^{2} q^{2} - 4 }{q^{4}}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Answer:
ree
Step-by-step explanation:
Drag each tile to the correct box.
Arrange the functions in increasing order of their periods.
y=-3tan(x+2pi)
y = 2/3csc(x/4)+6
y=-1/2cos(5x/6+pi)
y=5sec(3x) +6
y =-1/3sin(x/3)
y=-10cot(x/2-2pi)
Answer:
y=5sec(3x) +6
y=-3tan(x+2pi)
y=-10cot(x/2-2pi)
y=-1/2cos(5x/6+pi)
y =-1/3sin(x/3)
y = 2/3csc(x/4)+6
The functions in increasing order of their periods are given below.
y=5sec(3x) +6
y=-3tan(x+2pi)
y=-10cot(x/2-2pi)
y=-1/2cos(5x/6+pi)
y =-1/3sin(x/3)
y = 2/3csc(x/4)+6
As y = 2/3csc(x/4)+6 gives a high value than the other, it is considered the highest.
What are increasing order and decreasing order?Ascending order way going up from small value to excessive cost and textual content from A to Z. Descending order manner arranging the numbers from largest to smallest and textual content from Z to A. while the names are arranged for a list, then it is usually arranged in A to Z order, alphabetically.
Steps to find the Period of a Function
If a function repeats over a constant period we say that is a periodic function.It is represented like f(x) = f(x + p), p is the real number and this is the period of the function.Period means the time interval between the two occurrences of the wave.Learn more about functions here: https://brainly.com/question/2833285
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How do -11.5 and -9.5 compare? Choose the correct symbol.
-11.5 _ -9.5
A.<
B.=
C.>
Answer:
A. <
Step-by-step explanation:
-9.5 is greater than -11.5
Answer:
A) <
less than
Step-by-step explanation:
-11.5 < -9.5
Help!!!
Slove for x.
A.11
B.9
C.13
D.14
Answer:
Step-by-step explanation:
The secants form a proportion where the full length of the secant is the denominator of a fraction where the numerator is the external part of the secant.
7/(x + 7) = 6/(15 + 6) Cross Multiply after combining
7 / (x + 7) = 6/(21)
6 * (x + 7) = 7 * 21 Remove the brackets
6x + 42 = 147 Subtract 42
6x = 147 - 42
6x = 105 Divide by 6
x = 17.5
I think I've done this correctly. If you find an error, please let me know and I'll open it for editing.
How much did it cost Mark to drive 775 miles? If his car makes 31 mpg and fuel cost $2.00 per gallon.
Answer:
$50.00
Step-by-step explanation:
775/31=25
25x2=50
What is the difference between a matrix and a determinant?
Answer:
Step-by-step explanation:
A matrix is a set of numbers organized in rows and columns to represent the variables in a situation, and the determinant is used to find the inverse of a matrix which helps you solve for different variable values.
Answer: A matrix or matrices is a rectangular grid of numbers or symbols that is represented in a row and column format. A determinant is a component of a square matrix and it cannot be found in any other type of matrix. ... A determinant is a number that is associated with a square matrix.
Step-by-step explanation:
15 over r when r = 5
Answer:
15 over r when r. so 15-5 : 10
2 Mayra is a caterer and charges $75 per plate plus a
set up fee of $30. The cost per person is represented
by C = 30+75p. If she is catering a wedding for 150
people, how much does the bride and groom spend
on food?
Answer:
$11,280
Step-by-step explanation:
Plug in 150 as p into the equation to solve for the cost, C:
C = 30 + 75p
C = 30 + 75(150)
C = 30 + 11,250
C = 11,280
= $11,280
Write the equation of the directrix of the parabola shown below.
y^2+16y+4x+4=0
Answer:
Hello,
F=(14,-8)
directrice: x=16
Step-by-step explanation:
Making reduce form:
[tex]y^2+16y+4x+4=0\\y^2+2*8y+64-64+4x+4=0\\\\(y+8)^2-60+4x=0\\\\x=-\dfrac{(x+8)^2}{4} +15\\[/tex]
Since i prefere working with y=...: exchanging x and y
[tex]y=-\dfrac{(x+8)^2}{4} +15\\\\Comparing\ to\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\a=-8 :\ S=(-8,15)\\\\\\b-k=-2\ and\ b+k=30 \ \longrightarrow\ b=14\ and\ k=16\\\\Exchanging\ x\ and\ y:\\\\Focus=(14,-8)\\\\x=16[/tex]
Geometry, please answer question ASAP
Answer:
I think the shape above has an order of 5 because it has a reflectional symmetry of 5.
I hope this helps
G is a transformation of f. The graph below shows f as a solid blue line and g as a dotted red line. What is the formula of g in terms of f?
Answer: f(x-2) which is choice A.
The blue f(x) curve is shifted 2 units to the right to get the red g(x) dashed curve.
============================================================
Explanation:
For now, ignore the red dashed curve g(x). Imagine that the blue curve f(x) is fixed in place. If we shifted the xy axis to the left 2 units, then this gives the illusion the blue curve is moving even though the curve is fixed in place.
The operation "shift xy axis 2 units to the left" means each x input is 2 units smaller. So each x input is now x-2.
Therefore, going from f(x) to f(x-2) will shift the blue curve 2 units to the right to land perfectly on the red dashed g(x) curve.
Add or subtract. Write your answer in scientific notation. 6.4 x 10^3+ 1.4 x 10^4+ 7.5 x 10^3
Answer:
2.79 * 10^4
Step-by-step explanation:
6.4 x 10^3+ 1.4 x 10^4+ 7.5 x 10^3
The exponents need to be the same
6.4 x 10^3+ 14 x 10^3+ 7.5 x 10^3
Add the numbers
6.4 + 14+ 7.5 =27.9
Multiply by the exponent
27.9 * 10 ^3
But this is not in scientific notation
Move the decimal one place to the left and add one to the exponent
2.79 * 10^4
A sprinter run 400 meter in 54 second.what about s the runner's average running rate in meter per second?round to the nearest tenth
Answer:
7.4
Step-by-step explanation:
400 ÷ 54 =7.407407...
7.407407... rounded to the nearest tenth is 7.4
I hope this helps... and plz mark me brainliest!!!
8.
Find the number of real number solutions for the equation. x2 + 5x + 7 = 0
A. 2
B. cannot be determined
C. 0
D. 1
12 a) Find the sum and difference between the place value and face value of 5 in the number 35086941 .
Answer: Sum = 5000005, Difference = 4999995
Explanation:
Number = 35086941
Place value = 5000000
Face value = 5
Sum = 5000000 + 5
= 5000005
Difference = 5000000 - 5
= 4999995
Must click thanks and mark brainliest
in a right angle triangle ACB in which AC=X AB=12 and angle ACB=30° Find the value of x
Answer:
According to the Pythagoras Theorem-
[tex]hypotenuse^{2}[/tex] = [tex]alltitude^{2} + base^{2}[/tex]
what expression is equivalent to this Expression?
(-5cd-4)(2cd2)2
Answer:
[tex]-40c^{2} d^{2} -32cd[/tex]
Step-by-step explanation:
-20c³ is the expression which is equivalent to (-5cd⁻⁴)(2cd²)².
To simplify the given expression, (-5cd⁻⁴)(2cd²)², we can apply the power of a product rule, which states that (ab)² is equal to a²b².
Let's break down the expression step by step:
(-5cd⁻⁴)(2cd²)²
First, let's square the expression (2cd²)²:
(2cd²)² = (2)²(c)²(d²)² = 4c²d⁴
Now, we substitute this result back into the original expression:
(-5cd⁻⁴)(4c²d⁴)
To simplify further, we can multiply the coefficients and combine the variables:
(-5)(4) = -20
(c)(c²) = c³
(d⁻⁴)(d⁴) = 1
Putting it all together, the expression (-5cd⁻⁴)(2cd²)² simplifies to -20c³.
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Becky is buying fabric to make new pillows for her couch. She spends $71.50 on striped fabric and $52.25 on checkered fabric. If both fabrics cost $5.50 per yard, how many total yards of fabric does she buy?
Answer:
22.5
Step-by-step explanation:
im smart
Beaky bought 13 yards of striped fabric and 9.5 yards of checkered fabric.
Given that,
Becky is buying fabric to make new pillows for her couch. She spends $71.50 on striped fabric and $52.25 on checkered fabric.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Both fabrics cost $5.50 per yard, how many total yards of fabric she buys is to be determined so,
Divide the total cost of the fabric by the cost per yard of $5.50,
Striped fabric = 71.50 / 5.50 = 13 yards
checkered fabric = 52.25/71.50 = 9.5 yards
Thus, beaky bought 13 yards of striped fabric and 9.5 yards of checkered fabric.
Learn more about arithmetic here:
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