Answer:
15.4%Step-by-step explanation:
Volume of a cylinder:
V = πr²hContainer A
r = 10 ft, h = 11 ftV = π*10²*11 = 1100π ftContainer B
r = 7 ft, h = 19 ftV = π*7²*19 = 931π ft²After pump out the container A has the level of:
1100π - 931π = 169πLevel % in the container A:
169π/1100π×100% = 15.4% rounded to the nearest tenthWhat is the price of the item after the discount?
Answer:
$1.44
Step-by-step explanation:
Please answer the question below
Answer:
19
Step-by-step explanation:
How do you solve this???
-3x = 12
Thanks!
Answer:
Divide each term by
− 3 and simplify.
x = - 4
Answer:
x = -4
Step-by-step explanation:
First you need to find the common factor, which in this problem is 3. Then you need to divide the equation by the common factor which makes it -x = 4. We then need to multiply the equation by -1 to make x positive which makes it x = -4.
what is f=483,323+947,6584-84784
Answer:
9,875,123
Step-by-step explanation:
A gym membership costs $25 per month plus a
membership fee of $50. Which equation represents the
situation?
Answer:
Its B
Step-by-step explanation:
Answer:
y=25x+50
Step-by-step explanation:
She has to pay a fee of 50 and then 25 a month. X represents months since we don't know how many months she plans to have a membership.
Write an equation of the line that passes through (1.2) and is parallel to the line y = -5r + 4.
find the missing side
C=
Answer:
C = 10
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = 100
[tex]\sqrt{100}[/tex] = 10
M (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. Switch the x- and y-coordinates: (6, –3) 2. Multiply the new x-coordinate by –1: (6(–1), –3) 3. Simplify: (–6, –3) Mary Beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. Examine the steps to determine whether she made an error. The student made .
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
If a point (x, y) is rotated 90° counterclockwise, its new coordinate is (–y, x).
Give point M (3, –6) is rotated 90° counterclockwise:
Step 1: Interchange the x- and y-coordinates to get (-6, 3)
Step 2: Multiply the new x-coordinate by –1 to get (-6(–1), 3)
Step 3: Simplify to get (6, 3)
Therefore she made an error in step 1
Answer: An error in step one
Step-by-step explanation:
If you flip a fair coin 6 times, what is the probability that you will get exactly 4 tails
Answer: So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.
Answer:
4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.
Step-by-step explanation:
Brainliest!!!!!!!
12(7y+4)
[tex]{\huge{\boxed{\mathcal{\green{ANSWER}}}}} \\ \\ 12(7y + 4) = 0 \\ \\ 84y + 48 = 0 \\ \\ 84y = - 48 \\ \\ y = - 48 \div 84 \\ \\ y = - 0.571 \\ \\ {\huge{\boxed{\mathfrak{\pink{hope \: it \: helps}}}}}[/tex]
Consider vectors u and v, where u = (1, -1) and v = (1, 1). What is the measure of the angle between the vectors?
Answer:
I believe the answer is C. 90 degrees
Step-by-step explanation:
First you find the lengths of the two vectors, which are both [tex]\sqrt{2}[/tex]. Then you find the angle given the cos using: cos(∅)=[tex]\frac{u*v}{|u|*|v|}[/tex] = [tex]\frac{0}{\sqrt{2}*\sqrt{2} }[/tex] = 0. Then using ∅=acos(0)=[tex]\frac{\pi }{2}[/tex] = 90°
Answer:
c
Step-by-step explanation:
edge
question in picture I WILL GIVE BRIANLIEST!!!!!
Answer:
d the very bottom 6- , 4-
Step-by-step explanation:
bc x im sure is always first then it goes up y is last
((help please)). Identify any constraints on the domain.
Every day Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the numbers of laps she swims and how long it takes her to complete the laps, in
minutes
Choose the correct answer below.
O A. The domain consists of all integers greater than or equal to 0.
OB. The domain consists of all integers greater than 0 and less than or equal to 20.
OC. The domain consists of all integers greater than or equal to 0 and less than or equal to 20
D. The domain consists of all integers greater than or equal to 10 and less than or equal to 20.
E. The domain consists of all integers less than or equal to 20.
Answer: D
Step-by-step explanation: trust me
All integers higher than or equal to 10 and less than or equal to 20 are included in the domain.
What is meant by domain?The set of all potential inputs for a function is its domain. The domain of a function is the collection of all possible values that can be used as inputs, or alternatively, it is the full range of possible values for independent variables.
The set of all values that can be plugged into a function while ensuring that it exists and accepts a real number as a value is known as the domain of the function.
The range of values that we exists allotted to enter into our function is comprehended as the domain of a function. The x values for a function like f make up this set (x).
Therefore, the correct answer is option D. The domain consists of all integers greater than or equal to 10 and less than or equal to 20.
To learn more about Domain refer to:
https://brainly.com/question/26098895
#SPJ2
help pls :p
1. Measure of each angle in the equilateral triangle is represented by the expression 2X +4 what is the value of X?
2. The sides of the triangle have lengths of 3 cm 8 cm and 10 cm if the smallest
side of a similar triangle has a length of 12 cm what must be the length of the longest side of this similar triangle?
3.
Answer:
1 x=28
2 40
Step-by-step explanation:
Which is the solution to this system of equations?
x - 2y= 15
2x + 4y = -18
Choose Positive or Negative for each expression.
Answer:
A. negative
B. positive
C. positive
D. negative
hope this helps!
Step-by-step explanation:
Answer:
a. negative
b. positive
c. positive
d. negative
Step-by-step explanation:
a. (-4)(17)(-2)(-1)
-68(-2)(-1)
136 (-1)
-136
b. (-2)(-6)(1)
12(1)
12
c. (-5)(4)(-13)(2)
-20(-13)(2)
260(2)
520
d. [tex](-1)^{3}[/tex] or (-1)(-1)(-1)
1(-1)
-1
Which equation would generate the arithmetic sequence: -8.-3.2.7.12.
A 5-8(n-1)
B = -8+5(n-1)
C None of the other answers are correc
D = -8-5(1-1) a = 5+8(n-1)
Answer: B
Step-by-step explanation:
The equation for an arithmetic sequence is:
aₙ = a₁ + d(n - 1)
This matches answer B, so lets test it.
Substitue the position values for n
Given: Position 1 = -8
Solve Position 2:
a₂ = -8 + 5(2 - 1) = -3
a₃ = -8 + 5(3 - 1) = 2
a₄ = -8 + 5(4 - 1) = 7
a₅ = -8 + 5(5 - 1) = 12
Help. Will give brainliest :)
Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?
Answer:
18 inches!
Step-by-step explanation:
Since you are multiplying the original size by 3 times (4 in. originally • 3 = 12 inches) you just multiple the original height by 3 (6•3=18)
hope this helped!
Answers Jesse and Amir, write the system of equations using your answers from 1 and 2
Answer:
? what are the answers from 1 and 2?
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answers were 6 and 210
Write the quadratic function f(x) = x2 + 8x + 3 in vertex form.
Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year=365 days
1. Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year = 365 days.
Principal $1031
Rate 1.4%
Time 3 years
Answer:
a) $ 44.07
b) $ 44.15
c) $ 44.20
d) $ 44.22
e) $ 44.22
Step-by-step explanation:
The formula to find the total amount earned using compound interest is given as:
A = P(1 + r/n)^nt
Where A = Total amount earned after time t
P = Principal = $1031
r = Interest rate = 1.4%
n = compounding frequency
t = Time in years = 3 years
For each deposit, find the interest earned if interest is compounded
(a) semiannually
This means the interest is compounded 2 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/2) ^2 × 3
A = 1031 (1 + 0.007)^6
A = $ 1,075.07
A = P + I where
I = A - P
I = $1075.07 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.07
(b) quarterly
This means the interest is compounded 4 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/4) ^4 × 3
A = 1031 (1 + 0.014/4)^12
A = $ 1,075.15
I = A - P
I = $1075.15 - $1031
A = P + I where
P (principal) = $ 1,031.00
I (interest) = $ 44.15
(c) monthly,
This means the interest is compounded 12 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/12) ^12 × 3
A = 1031 (1 + 0.014/12)^36
A = $ 1,075.20
A = P + I where
I = A - P
I = $1075.20 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.20
(d) daily,Use 1 year = 365 days
This means the interest is compounded 365 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/365) ^2 × 3
A = 1031 (1 + 0.00365)^365 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
(e) continuously. .
This means the interest is compounded 2 times in a year
Hence:
A = Pe^rt
A = 1031 × e ^0.014 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
Find the missing length of the triangle.
C=ft
Answer:
c = 12ft
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]7.2^{2}[/tex] + [tex]9.6^{2}[/tex] = 144
[tex]\sqrt{144}[/tex] = 12
solve the right angle trig problem.
Answer:
x = 9.23919
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacentStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing length.
Step 2: Identify Variables
POV from the angle measure
Angle = 57°
Opposite = x
Adjacent = 6
Step 3: Solve for x
Substitute: tan57° = x/6Isolate x: 6tan57° = xEvaluate: 9.23919 = xRewrite: x = 9.239199514 1404 393
Answer:
x ≈ 9.24H ≈ 11.02Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships.
Tan = Opposite/Adjacent
tan(57°) = x/6
x = 6·tan(57°) ≈ 9.24
__
The complete solution of the triangle will also find a value for H.
Cos = Adjacent/Hypotenuse
cos(57°) = 6/H
H = 6/cos(57°) ≈ 11.02
_____
Comment on the figure
We note that, in relation to the given angle, the markings O and A are reversed. The side labeled 6 is adjacent (A) to the marked angle, and the side labeled x is opposite (O) to the marked angle.
Consider points A(1, 6) and B(8, 8). Find point C on the x-axis so AC +BC is a minimum.
The point that minimizes AC +BC is C (_ , _)
Answer:
The coordinates of the point C that minimizes AC + BC are (-20, 0) or (4, 0)
Step-by-step explanation:
The given coordinates of the points A and B are A(1, 6) and B(8, 8)
The location of the point C = The x-axis
Therefore;
The coordinates of the point C = (x, 0)
The length of the segment AC = √((1 - x)² + (6 - 0)²) = √((1 - x)² + 6²)
The length of the segment BC = √((8 - x)² + (8 - 0)²) = √((8 - x)² + 8²)
At minimum distance of AC + BC, we have;
d(√((1 - x)² + 6²) +√((8 - x)² + 8²))/dx = 0 = (1 - x) × 2 × (0.5 - 1)× (√((1 - x)² + 6²)^(0.5 - 1) + (8 - x) × 2 × (0.5 - 1)× √((8 - x)² + 8²)^(0.5 - 1)
∴ d(√((1 - x)² + 6²) +√((8 - x)² + 8²))/dx = 0 = -(1 - x)/√((1 - x)² + 6²) - (8 - x)/√((8 - x)² + 8²)
-(1 - x)/√((1 - x)² + 6²) = (8 - x)/√((8 - x)² + 8²)
(8 - x)·√((1 - x)² + 6²) = -(1 - x)·√((8 - x)² + 8²)
Squaring both sides gives;
(8 - x)²·((1 - x)² + 6²) = (1 - x)²·((8 - x)² + 8²)
Expanding, using an online tool, we get;
x⁴ - 18·x³ + 133·x² -720·x + 2368 = x⁴ - 18·x³ + 161·x² - 272·x + 128
Which gives;
(161 - 133)·x² - (272 - 720)·x + 128 - 2368 = 28·x² + 448·x - 2240 = 0
Dividing by 28 gives;
x² + 16·x - 80 = 0
(x + 20)·(x - 4) = 0
Therefore, x = -20 or x = 4
The coordinates of the point C that minimizes AC + BC are (-20, 0) or (4, 0)
The coordinates of a point is the position of the point, on the coordinate plane.
The point C that minimizes AC + BC are (-20, 0) and (4, 0)
The given parameters are:
[tex]\mathbf{A = (1,6)}[/tex]
[tex]\mathbf{B = (8,8)}[/tex]
From the question, we understand that point C is on the x-axis.
This means that:
[tex]\mathbf{C = (x,0)}[/tex]
Calculate segments AC and BC using the following distance formula
[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{AC = \sqrt{(1 - x)^2 + (6 - 0)^2}}[/tex]
[tex]\mathbf{AC = \sqrt{(1 - x)^2 + 6^2}}[/tex]
[tex]\mathbf{BC = \sqrt{(8 - x)^2 + (8 -0)^2}}[/tex]
[tex]\mathbf{BC = \sqrt{(8 - x)^2 + 8 ^2}}[/tex]
Add both distance
[tex]\mathbf{AB + BC = \sqrt{(1 - x)^2 + 6^2} + \sqrt{(8 - x)^2 + 8^2}}[/tex]
Differentiate, to calculate the minimum distance
[tex]\mathbf{d' = (1 - x) \times 2 \times (0.5 - 1) \times ((1 - x)^2 + 6^2)^({0.5 - 1}) + (8 - x) \times 2 \times (0.5 - 1) \times ((8 - x)^2} + 8^2))}^{(0.5 - 1)} }[/tex]
Simplify
[tex]\mathbf{d' = -\frac{1 - x}{\sqrt{(1 - x)^2 + 6^2}}- \frac{8 - x}{\sqrt{(8 - x)^2 + 8^2}}}[/tex]
Set to 0
[tex]\mathbf{ -\frac{1 - x}{\sqrt{(1 - x)^2 + 6^2}} - \frac{8 - x}{\sqrt{(8 - x)^2 + 8^2}} = 0}[/tex]
Rewrite as:
[tex]\mathbf{ -\frac{1 - x}{\sqrt{(1 - x)^2 + 6^2}} = \frac{8 - x}{\sqrt{(8 - x)^2 + 8^2}} }[/tex]
Cross multiply
[tex]\mathbf{(8 - x) \times\sqrt{(1 - x)\² + 6\²} = -(1 - x) \times\sqrt{(8 - x)\² + 8\²}}[/tex]
Square both sides
[tex]\mathbf{(8 - x)^2 \times (1 - x)\² + 6\² = (-(1 - x))^2 \times (8 - x)\² + 8\²}[/tex]
[tex]\mathbf{(8 - x)^2 \times (1 - x)\² + 6\² = (1 - x)^2 \times (8 - x)\² + 8\²}[/tex]
Expand
[tex]\mathbf{x^4 - 18x^3 + 133x^2 -720x + 2368 = x^4 - 18x^3 + 161x^2 - 272x + 128}[/tex]
Evaluate like terms
[tex]\mathbf{133x^2 -720x + 2368 = 161x^2 - 272x + 128}[/tex]
Collect like terms
[tex]\mahbf{161x^2 - 133x^2 - 272x + 720x + 128 - 2368 = 0}[/tex]
[tex]\mathbf{28x^2 + 448x - 2240 = 0}[/tex]
Factor out 28
[tex]\mathbf{28(x^2 + 16x - 80) = 0}[/tex]
Divide through by 28
[tex]\mathbf{x^2 + 16x - 80 = 0}[/tex]
Expand
[tex]\mathbf{x^2 + 20x - 4x - 80 = 0}[/tex]
Factorize
[tex]\mathbf{x(x + 20) + 4(x + 20) = 0}[/tex]
Factor out x + 20
[tex]\mathbf{(x + 20)(x - 4) = 0}[/tex]
Solve for x
[tex]\mathbf{x =- 20\ or\ x = 4}[/tex]
Hence, the point C that minimizes AC + BC are (-20, 0) and (4, 0)
Read more about coordinate points a:
https://brainly.com/question/18154638
can anyone do division on paper plsss
Answer:
738.75
Step-by-step explanation:
i hope this helps im sorry if im wrong
Step 1: D for Divide. How many times will 80 go into 59100 ? ...
Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: .
Step 3: S for Subtract. Next you subtract. ...
Step 4: B for Bring down. ...
Step 1: D for Divide. ...
Step 2: M for Multiply. ...
Step 3: S for Subtract.
HELP ME!!! NEED HELP ASAP!!!!
Answer:
1\6y^8 (second one)
Step-by-step explanation:
at 5 p.m., the temperature began dropping 3 f every hour for 6hrs. what was the temperature after 6hrs?
time temperature
3 p.m. 14
5 p.m. 11
Answer:
-7°
Step-by-step explanation:
every hour the temperature dropped 3° so in 6 hours it would be -7° because 3x6 is 18 and 11-18 is -7
TWENTY PIONTS!!!!! what completes the prime factorization of 315
Answer:
Positive Integer factors of 315 = 3, 9, 5, 45, 7, 315 divided by 3, 3, 5, 7, gives no remainder. Step-by-step explanation:
What is the equation in point-slope form of the line that passes through the point (4,-5) and has a slope of 2/3?
Answer:
m = 8 / -2 = 4 / -1 = -4
Step-by-step explanation:
Quick I need the answer
Answer:
x = 25!
Hope This Helps!