Answer:
[tex]P = 3x^2yz ( z^2-3xy+4y^2z)[/tex]
Step-by-step explanation:
Given
[tex]P = 3x^2yz^3-9x^3y^2z+12x^2y^3z^2[/tex]
Required
Write as a product of monomial and polynomial
Factor out [tex]3x^2yz[/tex] from each term
[tex]P = 3x^2yz * z^2-3x^2yz *3xy+3x^2yz *4y^2z[/tex]
Factor out [tex]3x^2yz[/tex]
[tex]P = 3x^2yz ( z^2-3xy+4y^2z)[/tex]
The above is a product of monomial and polynomial
Which inequality is equivalent to this one? y-85-2
Answer:
[tex]y-8+2\leq -2+2[/tex]
Step-by-step explanation:
Since you're adding either 8 or 2 to both sides, the inequality sign doesn't change.
So we can eliminate the first and second choice.
Now it's down to the bottom two.
The third choice is adding 2 to the left hand side and then adding 8 to the right hand side. You can't add two different numbers to different sides.
Therefore, the last one must be the correct answer.
The last one is adding two to both sides and have the same inequality sign.
sin 2A = sinA is true when A=?
If sin(x) = 0.4, then what is tax (x)?
Answer:
0.43
Step-by-step explanation:
x = sin^-1(0.4)
x = 23.57
tan(23.57) = 0.436
What is 1/12÷5 ? Please answer quickly due today
Answer: 1/12 ÷ 5 is 1/60.
Step-by-step explanation: When you divide, you need to find the reciprocal of the second term. The reciprocal of 5 is 1/5. Then, switch the sign from division to multiplication. 1/12 × 1/5 is 1/60.
The school spent $504 on calculators. How
many did the school buy?
Answer:
How much are these calculators??
Step-by-step explanation:
HELP ASAP All the students in a history class complete a 10-point
extra-credit assignment to raise their test scores.
The new test score is 10 points more than the original
score.
Let x = original score
Let y = new score
Write an equation that represents this situation.
A. y = x+ 10
B. y= 10x
O C. y = x + 10
D. y = x - 10
Answer would actually be y = x + 10
Please help me ! Please !
Answer:
a
Step-by-step explanation:
Answer:
(x+11)(x-11)
Step-by-step explanation:
Rewrite 121 as 11².
11²-x²
Since both terms are perfect squares, factor using the differences of squares formula, a²-b²=(a+b)(a-b) where a=11 and b=x.
(11+x)(11-x)
I really need help plz
Answerwhat do you need help with?
Step-by-step explanation:
There are 36 students in a class, 10 girls and 26 boys. What is the probability of picking a boy out of the class and how likely is it that a boy would be chosen?
Answer:
13/18
Step-by-step explanation:
P(Picking a boy)=26/36=13/18
work out 14hrs 3min devide by 3
Answer:
4.6833333 Hours
Step-by-step explanation:
14 hrs=840 min
843/3
281minutes
281 min= 4.6833333 Hours
please mark brainliest
7 copies of the sum of 8 fifths and 4
Answer:
39 1/5 or 39.2Step-by-step explanation:
Sum of 8 fifths and 4:
8/5 + 4 = 1 3/5 + 4 = 5 3/57 copies of the of sum of 8 fifths and 4:
7 × 5 3/5 =7( 5 + 3/5) = 35 + 7(3/5) = 35 + 21/5 = 35 + 4 1/5 = 39 1/5 or 39.28+y=18 как решить уравнения
Answer:
y=10
Step-by-step explanation:
8+y=18
(-8)
y=10
!!!!!!!!!!!
Answer:
ответ :y=10 я поставил объяснение
Can someone help me please, ASAP!! Thank you!
Find the volume of the pyramid below.
5.6 ft :
6 ft
3 ft
Answer:
this is the final answer
thankyou
Step-by-step explanation:
V=lwh
3
Pl help it’s for a grade
A.
Hope this helps. :))))
Match the expression with its name. 9X4 - 3x + 4
A. cubic binomial
B. quadratic monomial
C. not a polynomial
D. fourth-degree trinomial
Answer: D
Step-by-step explanation:
find the derivative: y={ (3x+1)cos(2x) } / e^2x
Answer:
[tex]\displaystyle y' = \frac{3cos(2x) -2(3x + 1)[sin(2x) + cos(2x)]}{e^{2x}}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringExponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Product Rule: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Quotient Rule: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Trig Derivative: [tex]\displaystyle \frac{d}{dx}[cos(u)] = -u'sin(u)[/tex]
eˣ Derivative: [tex]\displaystyle \frac{d}{dx}[e^u] = u'e^u[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{(3x + 1)cos(2x)}{e^{2x}}[/tex]
Step 2: Differentiate
[Derivative] Quotient Rule: [tex]\displaystyle y' = \frac{\frac{d}{dx}[(3x + 1)cos(2x)]e^{2x} - \frac{d}{dx}[e^{2x}](3x + 1)cos(2x)}{(e^{2x})^2}[/tex][Derivative] [Fraction - Numerator] eˣ derivative: [tex]\displaystyle y' = \frac{\frac{d}{dx}[(3x + 1)cos(2x)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{(e^{2x})^2}[/tex][Derivative] [Fraction - Denominator] Exponential Rule - Powering: [tex]\displaystyle y' = \frac{\frac{d}{dx}[(3x + 1)cos(2x)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] Product Rule: [tex]\displaystyle y' = \frac{[\frac{d}{dx}[3x + 1]cos(2x) + \frac{d}{dx}[cos(2x)](3x + 1)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] [Brackets] Basic Power Rule: [tex]\displaystyle y' = \frac{[(1 \cdot 3x^{1 - 1})cos(2x) + \frac{d}{dx}[cos(2x)](3x + 1)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] [Brackets] (Parenthesis) Simplify: [tex]\displaystyle y' = \frac{[3cos(2x) + \frac{d}{dx}[cos(2x)](3x + 1)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] [Brackets] Trig derivative: [tex]\displaystyle y' = \frac{[3cos(2x) -2sin(2x)(3x + 1)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] Factor: [tex]\displaystyle y' = \frac{e^{2x}[(3cos(2x) -2sin(2x)(3x + 1)) - 2(3x + 1)cos(2x)]}{e^{4x}}[/tex][Derivative] [Fraction] Simplify [Exponential Rule - Dividing]: [tex]\displaystyle y' = \frac{3cos(2x) -2sin(2x)(3x + 1) - 2(3x + 1)cos(2x)}{e^{2x}}[/tex][Derivative] [Fraction - Numerator] Factor: [tex]\displaystyle y' = \frac{3cos(2x) -2(3x + 1)[sin(2x) + cos(2x)]}{e^{2x}}[/tex]Topic: AP Calculus AB/BC
Unit: Derivatives
Book: College Calculus 10e
The length of the shorter diagonal of a rhombus is 10 centimeters. Determine the length of the longer diagonal, to the nearest centimeter, if the perimeter
of the rhombus is 52 centimeters.
Length of the longer diagonal
cm
Answer:
24cm
Step-by-step explanation:
Perimeter of a rhombus = 4a
a is the side of the rhombus
52 = 4a
a = 52/4
a = 13cm
If the length of the shorter diagonal of a rhombus is 10 centimeters, then the length of the other diagonal is expressed as;
L = 2 * √a²-(s/2)²
s is the length of the shorter diagonal
Given
a = 13cm and s = 10cm, substitute
L = 2 * √13²-(10/2)²
L = 2*√169-5²
L = 2*√169-25
L = 2*√144
L = 2*12
L = 24cm
Hence the length of the longer diagonal is 24cm
Solve using the square root property
x2 - 12 = 0
How to convert 12/25 to a decimal number.
Step-by-step explanation:
0.48 is the decimal form of 12/25
Answer:
0.48
Step-by-step explanation:
First you have to...
make the denominator to 100
25×4=100
multiply the numerator with that same number
12×4=48
So, it becomes...
48/100
And now you can convert it to a decimal number...
48/100= 0.48
Hope it helps you!!!
Find the perimeter of the following shape please I’ll give Brainly
Answer:
33 is the p
Step-by-step explanation:
Answer:
the perimiter of the shape is 36in
ILL GIVE 50 POINTS AND BRAINLIEST!!!
A business assistant must leave more than $50 in the supply account. There is $175 in the account. The assistant needs to order x boxes of pens that cost $6.50 each.
What is the maximum number of boxes of pens the business assistant can buy? Please show your math work and justify your answer.
The coordinates of the vertices of a polygon are shown below.M(–1, 3), N(–4, 0), O(–1, –3), P(3, –3), Q(4, 0), R(3, 3)What type of polygon is this figure? heptagon hexagon octagon quadrilateral
Answer:
Step-by-step explanation:
The six points are shown on the graph. I think I've put them in correctly.
There are 6 sides to this figure. So this is a hexagon. It is not a regular hexagon. You can print the figure out to convince yourself that it is a hexagon.
Answer:
hexagon
Step-by-step explanation:
HELP...... rewrite the equation by completing the square.
x ^2 +10x+16=0
Answer:
[tex](x+5)^{2} = 9[/tex]
Step-by-step explanation:
To complete the square you need to add [tex]\frac{b}{2}^{2}[/tex]to both sides. (Parenthesis around b/2)
b = 10
b/2 = 5
(b/2)^2 = 25
[tex]x^{2}[/tex] +10x + 16 = 0
subtract 16 to both sides
[tex]x^{2}[/tex] + 10x = -16
add 25 to both sides
[tex]x^{2}[/tex] +10x + 25 = 9
Perfect Square Trinomial Factoring
[tex](x+5)^{2}[/tex] = 9
In a chemistry experiment, the temperature of a gas, in degrees Celsius, followed this pattern. Which of these expressions describes the pattern?
Answer:
Pretty sure its B.
Step-by-step explanation:
i feel like its B because the temperature, (t), subtracts 15 every second.
A kangaroo can jump 6 times the length of its body. For a kangaroo that is 5 feet long, how many feet can it jump? *
Answer:
30feet
Step-by-step explanation:
5 x 6 =30
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Answer:
Step-by-step explanation:
30, because 6x5 = 30 <33
GL!
If the population of a town was experiencing uninhibited decay of 2% per year, how long would it take the population to decrease to half? Round to the nearest tenth.
48.6 years
26.4 years
15.1 years
34.7 years
Answer:
replied in the wrong place whoops the answer is 34.7
Step-by-step explanation:
hi can you please help me with my work
Answer:
The answer is 3 1/2 inches!
Step-by-step explanation:
Grandma has 4 bags of soil for her flower pots each flower pot needs 3/4 of a bag of soil how many flower pots can she fill
Answer:
she can fill 5 pots and have 1/3 bag left over
Step-by-step explanation:
A parallelogram-shaped field in a park needs sod. The parallelogram has a base of 22.5 meters and a height of 18 meters. The sod is sold in pallets of 50 square meters. How many pallets of sod are needed to fill the field?
pallets of sod will be needed to fill the field.
Answer:
22.5 meters plus the amount of sold would equal 2.29
Step-by-step explanation:
