If the grain pile has a diameter of 60 feet and a height of 13 feet, what is the volume of the grain pile?
Answer:
36,738
Step-by-step explanation:
The first step is to calculate the radius
= 60/2
= 30
Therefore the volume can be calculated as follows
= πr^2h
= 3.142 × 30^2 × 13
= 3.14× 900×13
= 36,738 cubit feet
Hence the volume of the grain pile is 36,738 cubic feet
Need help quick easy problem to solve pls help!
Answer:
C
Step-by-step explanation:
12b + 30f = 240
7b + 10f = 125
Multiply the second equation by -3
12b + 30f = 240
-21b -30f = -375
Add up the two equations
-9b = -135
b = $15
Substitute this value in one of the two equations
12 * 15 + 30f = 240
180 + 30f = 240
30 f = 60
f = $2
What is 25% of 4kg 200g
Step-by-step explanation:
25% of 4kg 200g
25/100 × 4.200
4.200/4
=1.05 kg or 1kg 50g
The ratio of goldfish to gallons of water is 7 to 2. How many goldfish can you get if you have 16 gallons of water? __________ and How many gallons of water do you need to keep 28 fish? ____________.
Answer: 56, 8
Step-by-step explanation:
Given
The ratio of goldfish to gallons of water is 7:2
If there is 16 gallons of water. For x goldfish, We can write
[tex]\Rightarrow \dfrac{7}{2}=\dfrac{x}{16}\\\\\Rightarrow x=7\times8\\\Rightarrow x=56[/tex]
If there are 28 fish, for y gallons of water we can write
[tex]\Rightarrow \dfrac{7}{2}=\dfrac{28}{y}\\\\\Rightarrow y=2\times 4\\\Rightarrow y=8\ \text{gallons}[/tex]
PLEAAASE HELP!!! WILL GIVE BRAINLIEST!!!!!!
Answer:
Compared to a standard cosine function, the graph has a phase shift of [tex]5\pi/6[/tex] to the right, and compared to a sine function it has a phase of shift of [tex]\pi/6[/tex] to the right.
Step-by-step explanation:
The standard cosine function [tex]y=\cos x[/tex] has its maximum (vertex of the interval concave down) intersect with the y-axis. In this case, that part is shifted [tex]\frac{5\pi}{6}[/tex] to the right.
The standard sine function [tex]y=\sin x[/tex] has the point where it crosses its midline intersect with the x-axis. In this case, that part is shifted [tex]\frac{\pi}{6}[/tex] to the right.
choose the equation of the line that is parrarel to the y axis
PQ and QR are 2 sides of a regular 12-sided polygon. PR is a diagonal of the polygon. Work out the size of angle PRQ. You must show your working.
Answer:
15°
Step-by-step explanation:
A regular polygon is a polygon in which all the sides and angles of the polygon are equal to each other.
A regular 12-sided polygon is a polygon with 12 equal sides and angles.
The sum of interior angles of a polygon is given as:
sum = (2n - 4)90; where n is the number of sides of the polygon
For a 12 sided polygon:
Sum of interior angles = (2 * 12 - 4)90 = (24 - 4)90 = 20 * 90 = 1800°
Therefore since all the angles are equal, each angle = 1800° / 12 = 150°
Therefore in the question, ∠PQR = 150° (angle of a 12 sided polygon), ∠PRQ = ∠QPR = x
Therefore in triangle PQR:
∠PQR + ∠PRQ + ∠QPR = 180°
150 + x + x = 180
150 + 2x = 180
2x = 30
x = 15°
∠PRQ = 15°
In a standard deck of cards, there are 26 different red cards. How many possible combinations of 5 red cards
are there from those 26 cards?
Step-by-step explanation:
It doesn't matter what order they are drawn in, so youi have a combination problem
26C5
My calculator gives the answer directly,
It is 65780
−2(4y+1)=−8y−2??
Does it have one solution, no solution, or infinite?
Step-by-step explanation:
−2(4y+1)=−8y−2
4y+1=4y+1
infinite solutions
Answer:
Infinitely many solutions
Step-by-step explanation:
-2(4y+1)=−8y−2
=> -2(4y)-2(1)= -8y-2
=> -8y-2=-8y-2
=> Infinitely many solutions as x from both sides get cancelled
What will be the remainder when 6x + 4x4 - 27x³
- 7x² + 27x + 3/2 is divided by (2x² – 3)?
Answer: The remainder is 0.
Step-by-step explanation:
We are given:
Dividend polynomial = [tex]6x^5+4x^4-27x^3-7x^2+27x+\frac{3}{2}[/tex]
Divisor polynomial = [tex]2x^2-3[/tex]
We divide the dividend by the divisor using the long division method.
In this method, the final answer written in the bottom is considered as remainder and the uppermost polynomial is considered as the quotient.
The long division of the two polynomials is attached in the image below.
From the image, we can say that the remainder of the two is 0
Based on these results, express the probability that the next customer will pay with something other than a credit card as a fraction in simplest form.
Answer: 99/130
Payment made by any method except credit card is 95+4=99 and altogether there is three payment method including a credit card which sums up to 130.
So the probability is 99/130.
There are 1,281 souvenir paperweights that need to be packed in boxes. Each box will hold 15
paperweights. How many boxes will be needed?
Answer:
86 boxes
Step-by-step explanation:
If a + b = 5 and a - b = 9, what is a^2+b^2?
Answer:
=53
Step-by-step explanation:
a=5-b &. a=9+b
combine
5-b=9+b
-4=2b
b= -2
thus, a=7
(-2)^2 + (7)^2
4+49
=53
the equation of a straight line is given as 3x+y=7. the slope of this line is
Answer:
The slope is -3 and the y intercept is 7
Step-by-step explanation:
3x+y = 7
We can write the equation in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -3x+7
The slope is -3 and the y intercept is 7
Solve the problem.
An initial investment of $930 is appreciated for 19 years in an account that earns
6% interest, compounded continuously. Find the amount of money in the
account at the end of the period.
$1275.35
$22,067.28
$12,424,545.93
$2907.89
Answer:
$2907.89
General Formulas and Concepts:
Symbols
e (Euler's number) ≈ 2.71828Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra i
Compounded Continuously Formula: [tex]\displaystyle A = Pe^{rt}[/tex]
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 930
t = 19
r = 6% = 0.06
Step 2: Find Interest
Substitute in variables [Compounded Continuously Formula]: [tex]\displaystyle A = 930e^{19 \cdot 0.06}[/tex][Exponents] Multiply: [tex]\displaystyle A = 930e^{1.14}[/tex]Evaluate exponents: [tex]\displaystyle A = 930(3.12677)[/tex]Multiply: [tex]\displaystyle A = 2907.89[/tex]THIS IS TO HELP OTHER PEOPLE IF THEY FIND THIS QUESTION THIS QUESTION IS ALREADY CORRECT
What is the value of this expression?
[(3+5)⋅2−5]⋅3
Enter your answer in the box.
Devon needs to come up with ordered pairs that make up the line for this linear equation 3y - 3x =
12? Which ones would work?
Answer:
Step-by-step explanation:
The given linear equation can be reduced, ending up as
y - x = 4 or y = x + 4
If we choose our own x values, we can calculate the corresponding y value in each case:
x y = x + 4 ordered pairs
0 4 (0, 4)
1 5 (1, 5)
3 7 (3, 7)
-2 2 (-2, 2)
Which points are solutions to the system of inequalities shown below?
Check all that apply.
y>x
y> 2
X>4
A. (6,4)
B. (4,2)
C. (8,1)
D. (9,-2)
E. (9, 10)
F. (5,6)
Answer:
F
Step-by-step explanation:
y should be greater than x and greater than 2.
x should be greater than 4 but less than y
Need help of this!! Domain and range!!
Answer:
its the first one
Step-by-step explanation:
help pleaseee and thank you
Answer:
-2x-11=0
1) Add 11 to both sides
Dividde both sides by - 2
X= _11/2
Drcimal form: - 5.5
help me..........
only 23...
Question 23
Recall that a kite in geometry is any four sided figure where we have two different pairs of adjacent sides that are the same length.
We're told that PS = 4.5 and RS = 6. So this isn't an adjacent pair of congruent sides. But we can say that PS and PQ are one pair of adjacent congruent sides. That makes PQ to be 4.5 cm long.
Similarly, RS = RQ = 6 is the other pair of adjacent congruent sides. Notice that triangle PQR reflects over line PR to get triangle PSR.
See the diagram below.
Over what interval is the function in this graph constant?
Answer:
[tex]\text{A. }1\leq x \leq6[/tex]
Step-by-step explanation:
A constant intervals occurs when the function is neither increasing or decreasing. In the graph, we see this occurs from [tex]x=1[/tex] to [tex]x=6[/tex]. Therefore, the interval in which the graph is constant is [tex]\boxed{\text{A. }1\leq x \leq6}[/tex]
**PLEASE HELP**The frequency table below represents the 30 best battling averages for a semi pro baseball league. Which ranges of battling averages were least common among the players
The lower the frequency the least common the average.
There are two frequencies that are 1, which would be the least common.
The answer is C. 0.320-0.329 and 0.360 -0.369
Answer:
option C
Step-by-step explanation:
option c is contains the two batting averages which have a frequency of 1, this means that they both only occurred once which is the least amount of times any of the batting averages has occurred.
if (x+y , 2x-3) = (5,3) find the value of x and y. plz answer ASAP!!!
Answer:
x=3
y=0
Step-by-step explanation:
2x-3=3
2x=6
x=3
x+y=3
3+y=3
y=0
Answer:
ans: x= 3 and y= 2
Step-by-step explanation:
equating corresponding order pair,
x + y = 5 and
2x-3 = 3
so x=6/2 I.e
x= 3
putting x in
x + y = 5
y = 5- 3
y = 2
please help me which of the following is the quotient of the rational expressions shown below
Answer is C
✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔
Determine where the PHD Mathematicians live.
The Mathematicians who live within the enclosure made by
the parabola
y = x2 +2x-3
and the line
y = -x + 1
have all earned their PHD in Mathematics. The following mathematicians live at the following coordinates:
Annie Easley:
Benjamin Banneker:
Fan Chung
Joan Clarke
A (-3,5)
B (6, 5)
C (5,5)
D(-1,-3)
Sophie Germain
Elbert Frank Fox:
Emmy Noether
Jama Musse Jama:
E (3,6) David Blackwell:
F (-2,-2) Mary Somerville:
G (-1,-4) Grace Hopper:
H(-6,8) Nalini Joshi
I (-1, -1)
J (3,-2)
K(-1,-2)
L (0, -1)
a) Plot the points given above on the grid. *Label each point with the given letter
b) Graph the line
y = -x + 1
Slope=__: y-intercept=
c) Factor and then find the x-intercepts.
y=x2+2x-3
Answer:
the answer to A,B,C
Step-by-step explanation:
all the points are on the graph
all answers
b) slope -1
intercept 1
c)(x+3)(x-1)
intercepts (-3,0),(1,0)
vertex (-1,-4)
What is the equation of the following line written in slope-intercept form?
Answer:
C
Step-by-step explanation:
y=-7x-11
You get 11 points if you answer a.s.a.p
Answer:
Have you got it now?
Step-by-step explanation:
PLZZ HELPPP
Which matrix equation can be used to solve the system?
x+y=21
5x+4y=20
Answer:
[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]
Step-by-step explanation:
Given the simultaneous equation
x+y=21
5x+4y=20
To write in matrix form, it must be in the form AX= b
X = A⁻¹b
A⁻¹ is the inverse of matrix A
A is a 2by2 matrix
X is the variables
b is a column matrix
The expression will therefore be written as;
[tex]A=\left[\begin{array}{ccc}1&1\\5&4\\\end{array}\right] \\\\|A| = 1(4)- 5(1)\\|A| = 4-5\\|A| = -1\\A^{-1} = -\left[\begin{array}{ccc}4&-1\\-5&1\\\end{array}\right] \\\\A^{-1} = \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \\[/tex]
Hence the required product matrix that represent X is;
[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]
i have no idea what to do can someone pls help me quick