Answer:
4 to the 2nd power is the equivalent to 2 to the 4th power
Step-by-step explanation:
2⁴ = 16 = 4²
Answer:
16
Step-by-step explanation:
2*2*2*2= 16
Suppose that a large mixing tank initially holds 500 gallons of water in which 60 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 5 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)
Answer:
The answer is "[tex]\frac{dA}{dt}+ \frac{A}{100}=0\ \ and \ \A(0)=60[/tex]"
Step-by-step explanation:
[tex]A(0)=60\\\\ \frac{dA}{dt}=Rin-Rout\\\\Rin=0\\\\Rout=\frac{A(t)}{500} \times (5)\\\\ =\frac{A}{100}\\\\ so,\\\\\frac{dA}{dt}=Rin-Rout\\\\\frac{dA}{dt}=0- \frac{A}{100}\\\\\frac{dA}{dt}+ \frac{A}{100}=0\\\\A(0)=60[/tex]
Calc help!
Suppose that
f(5) = 2, f '(5) = 9, g(5) = −6, and g'(5) = 7.
Find the following values.
(fg)'(5) =
(f/g)'(5) =
(g/f)'(5)=
Answer:
(fg)'(5) = -40
(f/g)'(5) = -68/36
(g/f)'(5)= 17
Step-by-step explanation:
(fg)'(5) =
Applying the product derivative:
[tex]fg(5) = f^{\prime}(5)g(5) + g^{\prime}(5)f(5) = 9*(-6) + 7*2 = -54 + 14 = -40[/tex]
(f/g)'(5) =
Applying the quotient derivative
[tex](\frac{f}{g})^{\prime}(5) = \frac{f^{\prime}(5)g(5) - g^{\prime}(5)f(5)}{g(5)^2} = \frac{9*(-6) - 7*2}{6^2} = -\frac{68}{36}[/tex]
(g/f)'(5)=
[tex](\frac{g}{f})^{\prime}(5) = \frac{g^{\prime}(5)f(5) - f^{\prime}(5)g(5)}{f^{\prime}(5)^2} = \frac{7*2 - 9*(-6)}{2^2} = \frac{68}{4} = 17[/tex]
Quadrilateral ABCD is inscribed. The measure of ∠A=67°. What is the measure of ∠C?
Answer:
angle C =113 degree
Step-by-step explanation:
angle A + angle C =180 degree
angle C = 180 degree - angle A
angle C = 180 degree - 67 degree
=113 degree
I neeeddddd help on this I’m failing
Answer:
AB = 9
Step-by-step explanation:
Here is a simple case of a proportion.
We see that:
3:4
x:12
what can we do to make 4 into 12?
we multiply it by 3
so we do the same to 3
3*3=9
Find the area of the sector formed by a central angle of 45 degrees in a circle of radius 2.1
meters. Round to the hundredth.
Answer:
1.731 meters squared
Step-by-step explanation:
Look at the image for reasoning
Find the sum of the series if n = 6, r = 1/4, a = 2.
Given =
n=6,
r=1/4
a=2
Sn = a+ar+ar²+ar³+ar⁴+ar⁵= 2+0.5+0.125+0.03125+0.0078125+0.00195~ 2.67
Ct+7m. If C=5,t=2, and m=2
Answer:
24
Step-by-step explanation:
5(2) + 7(2) = 10+14 = 24
what is the value of x??? please help me easy math question
Answer:
x = 30
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
60 + x+3x = 180
60 + 4x = 180
Subtract 60 from each side
60+4x-60 = 180-60
4x = 120
Divide by 4
4x/4 = 120/4
x = 30
The area of a circle is increasing at a constant rate of 279 square feet per minute. At the instant when the radius of the circle is 66 feet, what is the rate of change of the radius? Round your answer to three decimal places.
Answer:The area of a circle is increasing at a constant rate of 279 square feet per minute. At the instant when the radius of the circle is 6 feet, what is the rate of change of the radius? Round your answer Io three decimal places. 37.699 ft/min 3.701 ft/min 7.401 ft/min 2.79 ft/min
Step-by-step explanation:
Evaluate C(8,2)
thank u!!!!
Step-by-step explanation:
Given in the question,
C(8,2)
Formula to use:
nCr = n! / r! * (n - r)!
here n = 8
r = 2
We have to calculate combinations of 8 object taken 2 at a time, then
C(8,2)
8C2
8! / 2! * (8 - 2)!
56/2
28
So, 8C2 = 28
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 4 and flipping heads? Write your answer as a fraction in simplest form.
Answer:
1/6
Step-by-step explanation:
the options greater than 4 on a six-sided dice are 5 and 6 so 2 out of the 6 options so that simplifies to 1/3 and then heads or tails for the coin is 1/2 so then multiply 1/3 times 1/2 to get the probability of those both happening and the answer is 1/6
What is the sum of
7 + 8J + 3,?
Answer:
8j + 10
Step-by-step explanation:
A rectangular lawn has an area of 1624 square metres. Its perimeter is 170 metres. What are the dimensions of the lawn?
GIVEN
L×B = 1624. ---1)
2(L+B) = 170
(L+B) = 85
L= 85- B
Substitute value of L in eq 1)
(85-B)B = 1624
B²-85B+1624 = 0
B²-56B-29B+1624 = 0
B(B-56)-29(B-56) = 0
(B-29)(B-56) = 0
B= 29 OR B= 56
IF B = 29, L = 56
IF B = 56, L = 29
The dimension of lawn is 56×29 cm²
(3x2+2−x3)−(−5x3+2x2+1)
Express the answer in standard form.
Enter your answer in the box.
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
ax²+bx+c
Simplify each term.
3x²+2−x³+5x³−2x²−1
Simplify by adding terms.
4x³+x²+1
Step-by-step explanation:
Please Answer Correctly - Will Give Branliest & Extra Points. (links or unidentified/wrong answers will be reported and auto banned)
Answer:
Step-by-step explanation:
11 no
46+4x=90 degree(being perpendicular)
4x=90-46
x=44/4
x=11
12 no
They are complementary angles
6 no
angle B+27=180 degree(being straight line)
angle B=180-27
angle B=153
10 no
angle 38 +angle DFE=180 degree(being supplementary)
angle DFE=180-38
angle DFE=142 degree
5 no
They are vertically opposite angles.
7 no
angle AGF and angle CGD (because they have common arm and vertex)
Answer:
Solution given:
11.4x+46=90[being right angle]
4x=90-46
x=44/4
x=11
12.
Complementary angles
5.
vertical
6.
<ABD+27=180°[linear pair]
<ABD=180-27
<ABD=153° degree
10.
<DFE+38=180[being supplementary]
<DFE=180-38
<DFE=142 degrees.
7.
angle DGE and angle DGC
8.
<AGB and <AGE
Please help me I need this asap
Answer:
its b i had this same thing in classkick
Step-by-step explanation:
Express in simplest form: (3x^2 + 4x - 8) - (-2x^2 + 4x + 2)
Answer:
5x² - 10
Step-by-step explanation:
Step 1:
( [tex]3x^{2}[/tex] + 4x - 8 ) - ( [tex]-2x^{2}[/tex] + 4x + 2 ) Equation
Step 2:
3x² + 4x - 8 + 2x² - 4x - 2 Open Parenthises
Answer:
5x² - 10 Simplify
Hope This Helps :)
Answer:
5x² + 10
Step-by-step explanation:
Given Equation :-
( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)
Solution :-
( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)Step 1:- Remove unnecessary parantheses.
3x² + 4x - 8 + 2x ² - 4x - 2Step 2 :- arranging like terms.
3x² + 5x² + 4x - 4x -8 - 2Step 3 :- Calculate like terms.
5x² + 10Use the graph of f(x) to write its equation. y! X
Answer:
y = |x + 2|
Step-by-step explanation:
given the straight shape, it must be a linear function, but the "bend" in it indicates that an absolute value is being used.
So to start we can say: y = |x|
But that's not sufficient, as it would show that bend being at 0, 0. Instead, we need to translate it two units to the left, giving us:
y = |x + 2|
f(x) = x^2. what is g(x)?
Answer:
Option C
Step-by-step explanation:
I just graphed on my TI-84
Hope this helps!
The base of a triangle is 2 ft. The height of hr triangle is 15 in. What is the area of he triangle in square inches.
Answer:
A=180in²
Step-by-step explanation:
b≈0.61m
h≈0.38m
Answer:
180 in
Step-by-step explanation:
since you need the answer in inches first turn the 2 feet into inches so it would be 24 inches then follow the formula...........area = (1/2) · b · h and your answer should be 180. I hope I helped :)
What does it mean by And,Or in probability?
Answer:
In probability, there's a very important distinction between the words and and or. And means that the outcome has to satisfy both conditions at the same time. Or means that the outcome has to satisfy one condition, or the other condition, or both at the same time.
Step-by-step explanation:
thank me later
a number p divided by 22
Answer:
a number p, 14 - p
Step-by-step explanation:
Plz help me....
What are the coordinates of point A?
Answer:
It's 5/4 because you go by x first
Answer:
A:(5,4)
Step-by-step explanation:
Just look. at the graph.Hope this helps
You choose a letter at random from the alphabet. What is the probability you choose one of the letters in “Math”?
A. 0
B.100
C. 4/26
D. 1/13
E. 22/26
Answer:
Option c is correct one
C. 4/26
Bcz word MATH contains 4 words and total alphabet is 26
A van travels 150 miles on 6 gallons of gas. How many gallons will it need to travel 325 miles?
A.12 gallons
B.2.8 gallons
C.13 gallons
D.25 gallons
plss help no link im giving brainless i need it Asap
============================================================
Work Shown:
(150 miles)/(6 gallons) = (325 miles)/(x gallons)
150/6 = 325/x
150*x = 6*325 .... see note below
150x = 1950
x = 1950/150 .... divide both sides by 150
x = 13 gallons is the final answer
-----------
Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.
You buy milk at $3.48 per gallon. One portion of oatmeal requires 5 ounces of milk. How much does the milk for one portion cost? Round to the nearest cent.
Answer: $0.1359375
Step-by-step explanation:
First and foremost, we should note that 1 gallon = 128 ounce. Therefore, $3.48 per gallon simply means $3.48 for 128 ounce. Therefore, the cost per ounce will be:
= $3.48 / 128
= $0.0271875
Therefore, the amount for the the milk for one portion cost which requires 5 ounces of milk will be:
= $0.0271875 × 5
= $0.1359375
Do you think credit cards want customers to pay off their balances?
Answer: 12 THE ANSWER IS 12 FOR SURE
Step-by-step explanation: Did I get it right!?!??!
Write a function rule for the area A(h) of a parallelogram whose base is 3 units more than its height h.
A. A(h) = h2 + 3
B. A(h) = h2 + 3h
C. A(h) = h2 + 3h + 3
D. A(h) = h + 3h
===================================================
Work Shown:
height = h
base = h+3, since the base is 3 more than the height
area = base*height
area = h*(h+3)
area = h*h + h*3
area = h^2+3h
SOMEONE PLEASE HELP!!
Answer:
It's the first one I think
Step-by-step explanation:
Compound inequalities :A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements .
THE CORRECT ANSWER IS THE LAST ONE ..
What is the diameter of a hemisphere with a volume of 651 m^3, to the nearest tenth
of a meter?
Answer: 13.5 m, hope this helps :)
If the volume of the sphere is 651 m³. Then the diameter of the sphere will be 10.75 meters.
What is the volume of the sphere?If the given sphere is of radius r units, then its volume is given as:
V = 4/3 πr³ unit³
The volume of the sphere is 651 m³.
Then the diameter of the sphere will be
We know the formula in the form of diameter.
V = 1/6 πd³ unit³
Then we have
651 = 1/6 πd³
πd³ = 3906
d³ = 1243.31
d = 10.75 m
Learn more about the volume of a sphere here:
https://brainly.com/question/381274
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