Answer:
Step-by-step explanation:
From the given information:
The domain D of integration in polar coordinates can be represented by:
D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;
The partial derivates for z = xy can be expressed as:
[tex]y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}[/tex]
Thus, the area of the surface is as follows:
[tex]\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA[/tex]
[tex]= \iint_D \sqrt{x^2 +y^2 +1 } \ dA[/tex]
[tex]= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta[/tex]
[tex]=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr[/tex]
[tex]= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0[/tex]
[tex]= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg][/tex]
[tex]= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ][/tex]
A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be red?
Answer:
The probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%
Step-by-step explanation:
Number of red marbles = 4
Number of blue marbles = 8
Number of Green marbles = 2
Total number of marbles = 4+8+2 =14
We need to find the probability, to the nearest 10th of a percent, that both marbles drawn will be red?
The formula used will be: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\[/tex]
In our case, Number of favourable outcomes = 4 (as red marbles are drawn)
Number of possible outcome = 14 (Total number of marbles)
The probability will be:
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\\\Probability=\frac{4}{14}\\ Probability=0.2857\\[/tex]
Now, calculating nearest 10th of a percent
[tex]Probability = 0.2857*100\\Probability=28.5%[/tex]
So, the probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%
HELP THIS IS DUE IN ONE HOUR I NEED A GOOD ANSWER! Each sales associate at an electronics store has a choice of the two salary options shown below.
• $115 per week plus 9.5% commission on the associate’s total sales
• $450 per week with no commission
a. The average of the total sales amount for each associate last year was $125,000. Based on this average, which salary option would result in a higher salary?
b. What is the difference between the two salary options?
Answer:
a) $450 per week, because you have room to earn more money because the average is sales is $2397.26 per week which the commission for option one would be is $227.74 which means on average people get $ 342.74, so $450 every week is a much higher salary.
b) The differace is that option 1 has the potential to increase by you selling more you can make more but in option 2 you know you will get $450 a week every week and that you would need to sell well above average to make more than $450
The Pythagorean triple (5, 12, 13) can't be generated from the identity (x? 1)2 + (2x)2 = (x2 + 1)
which has only one variable, because the length of the hypotenuse (13 units) and the length of the longer
of the other two legs (12 units) are not 2 units apart.
Find a two-variable identity by incorporating a second variable, y, into the single-variable identity. Note
that x > 1, x > y, and x and y are positive integers.
Select the correct answer.
5
9514 1404 393
Answer:
A. (x² -y²)² +(2xy)² = (x² +y²)²
Step-by-step explanation:
As is often the case with problems like this, the correct answer (A) is the only answer that is actually a true equation.
Choices B, C, D are only true if x or y is zero--a violation of the given condition that they are positive integers.
Create a table
please help me with this one more.a bag contains 120 marbles some are red and the rest are black there are 19 red marbles for every black marble how many red marbles are in the bag
Answer:
pls like if not my mom will die
Step-by-step explanation:
i dont understand this question can someone help me?
Answer:
Step-by-step explanation
turn the 4/11 into a decimal(0.3636) then see were it on the line then you can see wich is less
Pentru sala de mese a scolii s-au adus 12 scaune si 7 mese, plătindu-se 320lei.Știind că 4 scaune costă cât trei mese, află prețul unui scaun și prețul unei mese.
Răspuns:
Costul scaunului = 15
Costul mesei = 20
Explicație pas cu pas:
Dat fiind:
Să prețul scaunelor = c; pretul mesei = t
12c + 7t = 320 - - - (1)
4c = 3t; c = 3/4 t - - - (2)
Introducerea c = 3 / 4t în (1)
12 (3 / 4t) + 7t = 320
9t + 7t = 320
16t = 320
t = 320/16
t = 20
c = 3 / 4t
c = 3/4 (20)
c = 15
Costul scaunului = 15
Costul mesei = 20
Help I need the answer
Please help! I’ll give brainlest. Idk the answer bruh it’s for a grade :/
Which scenario could be represented by this graph?
A. After realizing that the house is cold Harry turns up the thermostat the temperature of the house gradually increases at constant rate the x-axis represents time the y-axis represents temperature
B. After realizing the house is too warm Harry turns on the air conditioner the temperature of the house gradually decreases at constant rate the x-axis represents time the y-axis represents temperature
C. The house temperature rises until it reaches the thermostat temperature and then it remains constant the x-axis represents time the y-axis represents the temperature
D. Harry runs the window air conditioner until the temperature falls to a comfortable level the x-axis represents time the y-axis represents temperature
Answer:
A
Step-by-step explanation:
Process of elimination.
It can't be B or D cause those say that the temp go down while in your graph it goes up, and C is saying that it rises and becomes constant while in your graph it's the other way around.
Answer:
A.
Step-by-step explanation:
I said so
Eight teams of high school students helped clean up trash in the community.
Afterwards, they shared 55 pizzas equally.
How many pizzas did each team get?
Ahmed works in a factory his normal rate of pay is £12.00 per hour
When ahmed works on sundays he is paid overtime for each hour.The overtime rate of pay is 1 1/4 times his nomal hourly rate. Lat weekend Ahmed worked 9 hours on Saturday and 6 hours on Sunday. Work out how money he earned during that weekend
Answer:
Ahmed earned £198.00 on that weekend.
Step-by-step explanation:
Given that:
Normal hourly pay = £12.00
Overtime pay = [tex]1\frac{1}{4}[/tex] of normal rate
Overtime pay per hour = [tex]\frac{5}{4}*12[/tex]
Overtime pay per hour = £15.00
Hours worked on Saturday = 9 hours
Amount earned on Saturday = 9*12 = £108.00
Hours worked on Sunday = 6 hours
Amount earned on Sunday = 6*15 = £90.00
Total amount earned on weekend = 108+90 = £198.00
Hence,
Ahmed earned £198.00 on that weekend.
Need answer asap pls..........
Answer:
Try B
Step-by-step explanation:
A retailer (GameStop, Target, or other stores) will receive 23% of the sale price of a video game. If a retailer sells
a video game for $60.00, how much money will the retailer receive
Answer:
$13.80
Step-by-step explanation:
23% of 60 is 13.8, therefore the retailer will receive $13.80 if a $60.00 video game is sold.
Which of the following describes a correct method for solving the equation: -7/2n + 5= -16 A. Add 5 to both sides, then devide both sides by 2/7. B. Subtract 5 from both sides, then add 7/2 to both sides. C. Add -5 to both sides, then multiply both sides by -2/7. D. Subtract 5 from both sides , then multiply both sides by 7
Answer:
If the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.
Thus, the correct option is 'C'.
Step-by-step explanation:
Given the equation
[tex]-\frac{7}{2}n+5=-16[/tex]
Let me solve this using the correct method
[tex]-\frac{7}{2}n+5=-16[/tex]
Add -5 to both sides
[tex]-\frac{7}{2}n+5+\left(-5\right)=-16+\left(-5\right)[/tex]
simplify
[tex]-\frac{7}{2}n=-21[/tex]
Multiply both sides by -2/7
[tex]-\frac{7}{2}n\times -\frac{2}{7}=-21\times -\frac{2}{7}[/tex]
simplify
[tex]n=6[/tex]
Therefore, if the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.
Thus, the correct option is 'C'.
A beauty supply company has 5 gallons of 20% hydrogen peroxide solution on hand. The
company also has a nearly limitless amount of a solution that contains 30% hydrogen
peroxide. How many gallons of the 30% hydrogen peroxide solution should the company add
to the 20% hydrogen peroxide solution to obtain a mixture that is 23% hydrogen peroxide?
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
Answer:
2.1 gallons
Step-by-step explanation:
Let V = volume of 20 % hydrogen peroxide = 5 gallons, V₁ = volume of 30 % hydrogen peroxide and V₃ = volume of 23 % hydrogen peroxide. So the final volume is V + V₁ = V₂
V₁ + 5 = V₂ (1)
Also, since quantity = concentration × volume,
Let Q = quantity of 20% volume hydrogen peroxide = 0.2V, Q₁ = quantity of 20% volume hydrogen peroxide = 0.3V₁ and Q₂ = quantity of 23% volume hydrogen peroxide = 0.23V₂
So, 0.2V + 0.3V₁ = 0.23V₂
0.2 × 5 + 0.3V₁ = 0.23V₂
1 + 0.3V₁ = 0.23V₂
0.3V₁ - 0.23V₂ = -1 (2)
substituting equation (1) into (2), we have
0.3V₁ - 0.23(V₁ + 5) = -1
expanding the brackets, we have
0.3V₁ - 0.23V₁ + -0.23 × 5 = -1
0.07V₁ - 1.15 = -1
adding 1.15 to both sides, we have
0.07V₁ = -1 + 1.15
0.07V₁ = 0.15
dividing both sides by 0.07, we have
V₁ = 0.15/0.07
= 2.143 gallons
≅ 2.1 gallons to the nearest tenth
So, we need 2.1 gallons of 30 % hydrogen peroxide to obtain a mixture that is 23 % hydrogen peroxide.
Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a function for the volume V of the tray in terms of x
Answer:
you can use the same type of power to make it easier
In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?
5 + 3p ≥ 30
5 + 3p ≤ 30
5p + 3 ≥ 30
5p + 3 ≤ 30
Answer:
A) 5+3p ≥ 30
Step-by-step explanation:
The 5+3p has to be greater than 30 to move on to the next round. The student scored 5 points in the first round and since the other 3 rounds he scored the same amount of points, your equation would be 5+3p ≥ 30 :)
If you were to solve this, you would subtract 5 from both sides to find that 3p≥ 25. Divide 25 by 3 to find out that Steward needed to score at least 9 points in each of rounds 2,3, and 4, so a possible solution could be that he earned 5 points in round 1, 9 in round 2, 9 in round 3, and 9 in round 4 for a total of 32, which is enough to qualify for the final round :)
Please someone help and explain, I don't understand what it means
Answer:
B
Step-by-step explanation:
you keep adding 2 to your previous answer
The graph below shows the cost C for bowling g games at Strike King. Another bowling center, Thunder Alley, charges $2.25 per game.
At what point do the graphs of Strike King (shown) and the graphs of Thunder Alley (not shown) intersect? Explain why this is always the case for proportional relationships.
Answer:
They intersect when the Strike king is at (9,15.75) and Thunder Alley is at (7, 15.75). But only the X axes intersect. The X and Y axes intersect at (0,0) that's where they start and that is where they meet. Its a proportional relationship because their ratios are equivalent. It represents the constant of proportionality.
Step-by-step explanation:
match the pair of points with the slope of the line that joins them
Answer:
Step-by-step explanation: use the equation m=(y2-y1/x2-x1)
M=(-5-(-11)/-1-(-8))
M=6/7
Answer this please and get points
Answer:
She has 5 nickles
Step-by-step explanation:
if she has 3 quarters, that amounts to 75 cents. The question states that the amount of nickles is the (the number of quarters) + 2, with this thought in mind, she would have 5 nickles, each worth 5 cents each, equaling out to 25 cents. the original 75 cents of the quarters and now the 25 cents from the nickels equals 100 cents (A dollar)
Answer:
60 because she had 50 nickels and 2 extra making 60 nickels
Find the volume of a pyramid with a square base, where the side length of the base is
14.7 in and the height of the pyramid is 17.2 in. Round your answer to the nearest
tenth of a cubic inch.
Answer:
1238.9
Step-by-step explanation:
The volume of pyramid with square a square base is 1239 [tex]inch^{3}[/tex]
What is pyramid with square base?A three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid
We have
Side length of base(L) = 14.7 inch
Height of pyramid(H) = 17.2 inch
Given ,Base is a square then
length=width(w)=14.7 inch
We know the formula of volume of pyramid = 1/3(L×W×H)
= 1/3 (14.7 × 14.7 × 17.2)
= 1/3 × 3716.748
= 1238.916
= 1239 [tex]inch^{3}[/tex]
Hence, The volume of pyramid is 1239 [tex]inch^{3}[/tex]
To learn more pyramid from here
https://brainly.in/question/19357246
#SPJ2
Which ordered pair is a solution of this equation? -6x + y = 35 Click on the correct answer. (-1,-7 (-6,-1) (-1,-6) (-7,-1)
Answer:
The ordered pair (-6, -1) is the only solution.
Step-by-step explanation:
-6x + y = 35
Let's plug in the points.
(-1, -7) --> -6(-1) - 7 = 6 - 7 = -1 which does not equal 35
(-6, -1) --> -6(-6) -1 = 35
(-1, -6) --> -6(-1) - 6 = 0 which does not equal 35
(-7, -1) --> -6(-7) - 1 = 41 which does not equal 35
Alejandro has gone to school StartFraction 5 Over 7 EndFraction of the last 35 days. Which expression can be used to determine the number of days Alejandro has gone to school?
35 divided by 7 = StartFraction 5 Over 7 EndFraction
35 times StartFraction 5 Over 7 EndFraction
StartFraction 5 Over 7 EndFraction divided by 35
StartFraction 7 Over 5 EndFraction divided by 35
Answer:
35 times StartFraction 5 Over 7 EndFraction
Step-by-step explanation:
Alejandro has gone to school (5/7) of the last 35 days.
We need to find the expression that can be used to determine the number of days Alejandro has gone to school.
[tex]x=\dfrac{5}{7}\times 35\\\\=5\times 5\\\\=25[/tex]
So, the correct option is (b) "35 times StartFraction 5 Over 7 EndFraction".
Answer:
(B) 35x5/7
Step-by-step explanation:
Jo got 16 out of 20 on her test. What is Jo's grade? Did she pass? Explain how you got your answer.
Answer:
16/20 is 80
Step-by-step explanation:
What is the number that JO would pass at. I think Jo has passed and I got my answer because when u do 16 divided by 20 you get 0.8 and that is 80
Keisha's selling pumpkin pie for 9.99. She always gives every customer a 5% of coupon. How much does the pumpkin pie cost now? PLZ HELP I WILL AWARD BRAINLIEST
Answer:
4.99
Hope I helped
Answer:
$9.49
Step-by-step explanation:
9.99*0.05=0.4995
9.99-0.4995=9.4905
Please help I don’t understand this.
The average rate of change of g(x) over the interval [2, 8] is given by
(g (8) - g (2)) / (8 - 2)
In other words, it's the slope of the line through the points (2, g (2)) and (8, g (8)).
Use the definition of the function to evaluate it at the points in the numerator:
• 8 ≥ 4, so using the second piece, g (8) = -0.5(8) + 8 = 4
• 2 < 4, so g (2) = 5(2) + 1 = 11
Then the average rate of change is
(g (8) - g (2)) / (8 - 2) = (4 - 11) / 6 = -7/6
how would you multiply negative numbers? or negative fractions for example -12 x 12 is what and please explain good
Answer:-12 x 12 =- 144.
What you do is multiply regularly then add the negative sign, but if your multiplying 2 negatives it’s a positive answer. I cant help with the Fractions caz I’m not good at them lol .
Which expression below does NOT equal 54?
O A. 3 x 3 x 6
O B. 2 X 3 X9
C. 2 X 3 X 3 X 3
O D. 2 x 2 x 2 x 6
Ripley’s Aquarium charges $29.95 for (a) adults and $13.95 for (c) children. Write an expression to represent admission pricing
Answer:
T=29.95a + 13.95c
Step-by-step explanation:
For this equation let a=amount of adult tickets, c=amount of children tickets, and T=the total cost. Since each adult ticket costs 29.95 dollars that needs to be multiplied by the number of adult tickets to see how much was spent on adults, the same goes for the price and number of children tickets. Finally, both of those totals need to be added together to see how much is spent overall for all of the guests.
A soccer field is 120 yards long and 60 yards wide. How long is the diagonal of the field?
Answer180 yards long
180
Step-by-step explanation: