[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{9}{8x^{4} }[/tex]
let y = [tex]\frac{3}{(2x)^{3} }[/tex] = [tex]\frac{3}{8}[/tex] [tex]x^{-3}[/tex]
differentiate using the power rule
[tex]\frac{d}{dx}[/tex] ([tex]ax^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{9}{8}[/tex][tex]x^{-4}[/tex] = - [tex]\frac{9}{8x^{4} }[/tex]
8(x-1) - 3x(4-x) + 6 (x+2) - 3. How can I simplify this?
Use the distributive property. For the first set of parenthesis, multiply everything inside by 8. This gets you to 8x-8.
Next set: Everything inside by 3x: 12x+3x^2.
Next set: Everything inside by 6: 6x+12.
Put it all together: 8x-8-12x+3x^2+6x+12-3.
Combine like terms: 2x+1+3x^2
Your supervisor sends you to the truck for 180 special fasteners when you get there you find that the fasteners come in bags of 15 how many bags of fasteners will you need to bring back
12 bags is the final answer! :)
The number of the bags of the fasteners is 12.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The number of the fastener in each bag will be:-
N = 180 / 15
N = 12
The number of bags are 12
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markup and markdowns
Markup:
1. The notation that is used to indicate how text should be displayed.
2. The percentage or amount by which a seller hikes up his buy-in price when determining his selling price.
3. An increase in price.
Markdown:
1. A reduction in price in order to stimulate sales.
2. An decrease in price.
Divide 3,479 by 9. What is the remainder?
the base of a parallelogram is 9 1/2 cm and its height is 11 1/2cm. what is the area of the parallelogram.
The area of the parallelogram is 109 1/4 square centimeters.
To find the area of a parallelogram, we use the formula:
[tex]\[ \text{Area} = \text{Base} \times \text{Height} \][/tex]
Given that the base is [tex]\(9 \frac{1}{2}\)[/tex] cm and the height is [tex]\(11 \frac{1}{2}\)[/tex] cm, we substitute these values into the formula:
[tex]\[ \text{Area} = (9 \frac{1}{2}) \times (11 \frac{1}{2}) \][/tex]
[tex]\[ \text{Area} = \left(\frac{19}{2}\right) \times \left(\frac{23}{2}\right) \][/tex]
[tex]\[ \text{Area} = \frac{19 \times 23}{2 \times 2} \][/tex]
[tex]\[ \text{Area} = \frac{437}{4} \][/tex]
[tex]\[ \text{Area} = 109 \frac{1}{4} \text{ square centimeters} \][/tex]
Zachary's soccer camp started at 11:35 A.M. They spent 55 minutes practicing defense and 2 hours and 25 minutes shooting. What time did the camp end?
camp ended at 2:55pm
2:55 PM
Because 11:35 AM+55= 12:30 PM. Then 12:30 PM+2:25= 2:55 PM as a final answer
Which equation has the solution x = 1.5?
A) x/2 + 3.5 = 6.5
B ) x/2 − 3.5 = 6.5
C) 2−3.5=6.5
D )2 + 3.5 = 6.5
Answer:
The correct answer is D.
2x + 3.5 = 6.5
x = 1.5
Mckenzie bought 1.2 pounds of coffee for 11.82 what was cost of per pound
first you divide 1.2 by its self because you need to get 1 pound. 1.2 / 1.2 = 1
now that you have one pound, you divide 11.82 by 1.2 = 9.85
what’s 9•1085•(17•x)
Hi!
So I believe your question is 9(1085)(17*x)
So we can start to simplify 17 and x into 17x
Next we take 17x*1085= 18,445x
And finally we multiply 18,445x*9
18,445x*9=166,005x
If you have two positive numbers and you multiply(-12*-6) why are you getting a positive answer?
Can you help me on my math homework
Where are the Questions? and Yes
Jesse has a container that contains 18 3/4 cups of ice cream. How many 1/3 cup servings are in the container?
Jesse can serve 56 full 1/3 cup servings of ice cream from the container with a bit of ice cream remaining.
Jesse has a container that contains 18 3/4 cups of ice cream. To determine how many 1/3 cup servings are in the container, we need to divide the total amount of ice cream by the size of each serving:
First, convert 18 3/4 cups to an improper fraction: (18 × 4) + 3 = 75/4 cups.Next, divide 75/4 by 1/3, which is the same as multiplying 75/4 by 3/1 (since dividing by a fraction is the same as multiplying by its reciprocal).75/4 × 3/1 = (75 × 3) / (4 × 1) = 225/4.Simplify the fraction: 225/4 = 56.25. Therefore, there are 56 whole servings, with a little left over.Jesse can serve 56 full 1/3 cup servings of ice cream from the container with a bit of ice cream remaining.
What is the length of KM
The length of one Km Equals 1093.61
chris rented a truck for one day. there was a base fee of $16.95, and there was an additional charge of 87 cents for reach mile driven . chris had to pay $229.23 when he returned the truck . for how many miles did he drive the truck
Which polygon is a convex heptagon
Convex Heptagon: A convex heptagon is a polygon with seven sides in which all of its diagonals lies inside the Heptagon. Concave Heptagon: A Concave Heptagon is a polygon with one or more interior angles greater than 180 degrees and some diagonals will lie outside the polygon.
Answer:
It's 'A' on Edge 2021. Hope this helps everyone.
Which mixed number is equivalent to the improper fraction 379 ?
4 1/9 i dont quiet remember but im pretty sure this is correct
I took this quiz and the answer is 4 1/9 i know its late but I hope it helps still... I guess...
−8x+3≥27 AND−13x+5≥57
Answer:
[tex]x \leq -4[/tex]
Step-by-step explanation:
[tex]-8x+3\geq 27 and -13x+5\geq 57[/tex]
LEts solve each inequality separately. then we find the intersection of both solutions.
[tex]-8x+3\geq 27[/tex]
Subtract 3 on both sides
[tex]-8x\geq 24[/tex]
Divide both sides by [tex]-8[/tex], change the inequality symbol when we divide by negative number
[tex]x \leq -3[/tex]
Now solve the other inequality
[tex]-13x+5\geq 57[/tex]
Subtract 5 on both sides
[tex]-13x\geq 52[/tex]
Now divide both sides by [tex]-13[/tex]
[tex]x \leq -4[/tex]
Now we take the intersection of [tex]x \leq -3[/tex] and [tex]x \leq -4[/tex]
for [tex]x \leq -3[/tex], we shade the number line to the left
[tex]x \leq -4[/tex], shade the number line to the left
Intersection of both graph is [tex]x \leq -4[/tex]
Answer:
A
Step-by-step explanation:
3x+5=245
Helpppppppppppp
Answer:
X = 80
Step-by-step explanation:
Subtract "5" from both sides,
3x + 5 - 5 = 245 - 5
Simplify,
3x = 240
Divide both sides by "3",
3x/3 = 240/3
X = 80
Hope this helps :-)
Factories often add filler when making meatballs sold by the bag. One factory obtained 135kg of beef from overseas. They want to add 1.3oz of filler for each pound of beef. How many ounces of filler will the factory need in order to make meatballs out of this shipment of beef?
Use 1lb = 0.45kg and do not round any computations
Answer:
The company needs 390 oz of filler.
Step-by-step explanation:
One factory obtained 135 kg of beef from overseas.
They want to add 1.3oz of filler for each pound of beef.
Given is:
0.45 kg = 1 pound
So, 135 kg = [tex]\frac{135}{0.45}[/tex] = 300 pounds
The company want to add 1.3 oz of filler for each pound of beef.
So, for 300 pounds they will need = [tex]300\times1.3=390[/tex] oz of filler.
Therefore, the company needs 390 oz of filler.
What is the range of the function? A. {1, 2, 3, 4} B. {1, 2, 3, 4, 9, 12} C. {2, 4, 9, 16} D. {1, 2}
C. {2, 4, 9, 16}
ranges (y) would be on the left of the graph. domains (x) would be on the left of the graph.
hope this helps! ❤ from peachimin
Answer: C 2,4,9,16
Step-by-step explanation:
Find the slope of the line that goes through the given points.
(3,1) and (8,9)
It was difficult to explain using words so I attached a picture of the work. I hope this helps!
Charles has rolled a 6-sided die three times and it landed on 3 each time. What is the probability of getting a 3 on the 4th roll?
Answer choices: A) 1, B) [tex]\frac{1}{36}[/tex], C) [tex]\frac{1}{216}[/tex], D) [tex]\frac{1}{6}[/tex]
The answer would be D - 1/6
This is because there are six sides to the die and just because he rolled all 3s before it does not mean he has a better chance to roll a 3 now.
Since there is only 1 3 on the six sided die there is a 1/6 chance he would roll a 3.
The probability of rolling a 3 on a 6-sided die remains 1/6 regardless of previous outcomes because each roll is an independent event. Therefore, the probability of getting a 3 on the 4th roll, after it has landed on 3 for three times, is 1/6.
Explanation:The subject of this question is Mathematics, specifically probability. The question asks what the probability is that a 6-sided die, after landing on 3 for three times, will land on 3 again on the 4th roll. It is important to understand that the roll of a die is an independent event, meaning that previous rolls do not impact the outcome of subsequent rolls. Therefore, no matter what the die landed on in previous turns, the probability of getting a 3 on the next roll remains the same.
Since a die has 6 faces, each face (1, 2, 3, 4, 5, 6) has an equal chance of landing up, making the probability of getting a certain number on a die 1 out of 6 or [tex]\frac{1}{6}[/tex]. So, option D is the correct answer.
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6 4/11 x2 1/12 Estimate the product
Answer:
The estimated product is 12.
Step-by-step explanation:
When rounding fractions, we can round them to 0, 1/2 or 1. 6 4/11 can be rounded to 6 since 4/11 isn't near the half of 11. 2 1/12 can be rounded to 2 since 1/12 is obviously close to 0. 6 x 2 = 12. The estimated product is 12.
Which amount is the greatest
Answer:
10qt
Step-by-step explanation:
16pt = 32C
So, it's not 16pt
36 C = 9qt
So, it's not 36 C
That only leaves 10qt
Hope this helps :-)
The geometric mean of two numbers a and b is ab. Find the geometric mean of 32 and 50
Answer:
1600
Step-by-step explanation:
a*b=
32*50=
1600
Answer:
Geometric mean: 40
1.Which fraction is the ratio expressed in simplest form?
24:18
A. 12/9
B.8/6
C.4/3
D.6/1
2.the ratio of two numbers is 1 to 4 and the sum of the numbers is 45 what is the smallest number?
A.10
B.9
C.8
D.7
3.what is 490% written as a decimal?
A. 4.9
B.49
C. 4900
D. 0.0049
4. What is 0.5% written as a decimal?
A.0.5
B.00.5
C.0.25
D. 0.005
1. divide each number by 6 and you get 4:3 answer c
2. 1x+4x=45 (the ratios give you how many of each you have)
5x=45 so x=9 that is the smallest number
3. percent means out of 100 so 490/100 4.9
4 percent means out of 100 so .5/100 5/1000 = .005
Explain how you know 15 is an odd number
15 is an odd number because you cant divided in half also 15 is the illumanti
Please help and explain on problem four.
For a this would be to draw a line going up like the dots lead up.
For b u would see the average amount of number of score it went up by and based on that u would put something like x=2y to represent the x and y axis.
For c , u would fill in the blank by finding the number (570) and the going to the dot placed with it and find it on the other axis
3t - 18 = 4(-3 - 3/4t)
3t - 18 = 4(-3 - 3/4t)
Use distributed to remove parenthesis right side
3t-18= -12-3t
Add 3t by 3t
3t+3t-18=-12
6t-18=-12
Add 18 to both sides
6t=-12+18
6t= 6
Divide 6 both sides
6t/6=6/6
Solved
T=1
Answer:
its t=1
Step-by-step explanation:
How to say 6.324 in word form
Six and three hundred twenty-four thousandths.
The decimal 6.324 in words can be written as "six and three hundred twenty-four thousandths."
To express the number 6.324 in word form, break it down by its place values.
6 is in the "ones" place, so we say "six."
3 is in the "tenths" place, so we say "three tenths."
2 is in the "hundredths" place, so we say "two hundredths."
4 is in the "thousandths" place, so we say "four thousandths."
Putting it all together, we can say 6.324 as "six and three hundred twenty-four thousandths."
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