what was Allen's mistake

The sequence is arithmetic. The common difference is 6. Answer: b

If a sequence is arithmetic, there exists a common difference d that is added to each term to get the next term. For instance, given the sequence 2, 5, 8, 11, 14, ...  to get each of the subsequent terms, we add 3. 2 + 3 = 5; 5 + 3 = 8, and so on.

The given sequence is 2,7,13,20, ...To determine whether it is an arithmetic sequence, we need to find the common difference d.

Subtract each subsequent term from its preceding term;7 - 2 = 513 - 7 = 620 - 13 = 7

Therefore, the common difference d is 6.

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Answer:

79 degrees

Step-by-step explanation:

x and the angle that measures 79 degrees are alternate interior angles, which makes them the same measure.

Alternate interior angles are both on the inner sides of the parallel lines but on opposite sides of the transversal, which is the diagonal line crossing m and n. Another way you can identify these angles is by noticing the "Z" shape that they make.

I hope this helps! Please comment if you have any questions.

Answer:

5/9

Step-by-step explanation:

Answer:

[tex]\frac{16}{21}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

Joseph pays £133.20

Step-by-step explanation:

740 - 296 = 444

30% of 444 = 133.20

Therefore he pays £133.20

Answer:

13.7

Step-by-step explanation:

A{2} + B{2} =C{2} \\

6{2} +B{2} =15{2} \\

6x6+B(2) =15x15\\

36+B(2)=225\\

            -36\\

            \sqrt{189} =13.7

Answer:

The area of trapezoid is 14m².

Step-by-step explanation:

Given that tha area of trapezoid is A = 1/2×(a+b)xh where a, b represents the side lengths and h is the height. So you have to substitute the values into the expressions :

[tex]area = \frac{1}{2} \times (a + b) \times h[/tex]

[tex]let \: a = 5,b = 2,h = 4[/tex]

[tex]area = \frac{1}{2} \times (5 + 2) \times 4[/tex]

[tex]area = 2 \times 7[/tex]

[tex]area = 14 \: {m}^{2} [/tex]

Answer:

The ball will not get up to 125 ft

Step-by-step explanation:

The initial velocity of the golf ball = 85 ft/s

The function for the height, h, in feet, of the golf ball is h = -16·t² + 85·t + 1/12

Where;

t = The time in seconds of flight of the golf ball

We have at maximum height, dh/dt = 0, which gives;

dh/dt = d(-16·t² + 85·t + 1/12)/dt = 0

-32·t + 85 = 0

t = 85/32

Given that d²h/dt² = d(-32·t + 85)/dt = -32 which is negative, the obtained point, t = 85/32, above is a maximum point

Substituting the value of t at the maximum into the function for the height h, to obtain the value for the maximum height, we have;

h[tex]_{(max)}[/tex] = h(85/32) = -16 × (85/32)² + 85× (85/32) + 1/12  ≈ 112.974

The maximum height reached = h[tex]_{(max)}[/tex] = 112.974 ft.

The maximum height reached ≈ 112.974 ft

Therefore, the ball will not get up to 125 ft.

Answer:

20

Step-by-step explanation:

1.2x = 24

x = 20

Answer:

20

Step-by-step explanation:

1.2x = 24

x = 20

Step-by-step explanation:

The values of[tex]a^3 + 8b^3[/tex]are 280 when b = 3 and 125 when b = 5/2.

To find the value of [tex]a^3 + 8b^3[/tex], we can use the given information about a and b. Let's proceed step by step:

1. We are given that a + 2b = 10. We can rearrange this equation to express a in terms of b: a = 10 - 2b.

2. We are also given that ab = 15. Substituting the expression for a from the previous step into this equation, we get (10 - 2b)b = 15.

3. Expanding the equation, we have [tex]10b - 2b^2 = 15.[/tex]

4. Rearranging the equation, we get[tex]2b^2 - 10b + 15 = 0.[/tex]

5. This is a quadratic equation in terms of b. We can solve it using factoring, completing the square, or the quadratic formula. In this case, we can factor the equation as (b - 3)(2b - 5) = 0.

6. From the factored equation, we find two possible values for b: b = 3 or b = 5/2.

7. To find the corresponding values of a, we substitute these values of b into the expression a = 10 - 2b. We find a = 4 when b = 3, and a = 0 when b = 5/2.

8. Now, we can calculate the value of [tex]a^3 + 8b^3[/tex] using the values of a and b we found. For the case when b = 3, we have [tex]a^3 + 8b^3 = 4^3 + 8(3)^3[/tex] = 64 + 216 = 280. For the case when b = 5/2, we have[tex]a^3 + 8b^3 = 0^3 + 8(5/2)^3 = 0 + 8(125/8) = 125.[/tex]

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The system of equations is:x + y = 70......(1)where x is the number of limited edition soccer balls and y is the number of Pro NSL soccer balls.

65x + 15y = 2400......(2)where 65 is the price of one limited edition soccer ball and 15 is the price of one Pro NSL soccer ball.By solving the system of equations above, we get:x + y = 70......(1)65x + 15y = 2400......(2)Solving equation (1) for x, we get:x = 70 - y.Substitute the value of x in equation (2) and solve for y:

65(70 - y) + 15y = 24004550 - 65y + 15y = 2400-50y = -3150y = 63

Substitute the value of y in equation (1) and solve for x:x + y = 70x + 63 = 70x = 7.Therefore, 7 limited edition soccer balls were sold and 63 Pro NSL soccer balls were sold. The given problem requires us to find the number of limited edition soccer balls and Pro NSL soccer balls sold in a sports store that sold a total of 70 soccer balls in one month and collected $2400. We are given that a limited edition soccer ball costs $65 and a Pro NSL soccer ball costs $15. We need to solve a system of equations to find the solution.Therefore, let x be the number of limited edition soccer balls and y be the number of Pro NSL soccer balls. The first equation is:x + y = 70We know that the total number of soccer balls sold is 70. Hence, the sum of limited edition and Pro NSL soccer balls will be 70. The second equation is:65x + 15y = 2400We know that the total revenue collected is $2400. Hence, the total revenue earned from limited edition soccer balls will be $65x and the total revenue earned from Pro NSL soccer balls will be 15y. Therefore, the sum of revenue earned from limited edition soccer balls and Pro NSL soccer balls will be 65x + 15y. By solving these equations, we can get the solution.Therefore, by solving the equations, we get 7 limited edition soccer balls and 63 Pro NSL soccer balls were sold in the store.

Hence, the store sold 7 limited edition soccer balls and 63 Pro NSL soccer balls.

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Answer:

28 dollars

Step-by-step explanation:

27 minus 13 equals 14. Which is the first part of the answer.Then 14 'twice' is times 2. So 14 x 2 is 28. Elana made 28 dollars

Answer:

$80

Step-by-step explanation:

27 + 13 = 40

40*2=80

Given function:y = √(1 – x³)We need to find dy/dx.As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Now, let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x²Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Therefore,  (A) 3(1 - x²)².Option (A) is the correct answer.

The given function is y = √(1 – x³) and we need to find dy/dx. As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

We need to find dy/dx.dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x².

Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Thus, dy/dx = (-3x²)/(2√(1 – x³)).Therefore, the correct option is (A) 3(1 - x²)².  

The derivative of the given function y = √(1 – x³) with respect to x is (-3x²)/(2√(1 – x³)) and the correct option is (A) 3(1 - x²)².

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Answer:

D. 8n+6/n(n+1)

Step-by-step explanation:

EDGE

Answer:

By solving the question y =11

Answer:

y=11

Step-by-step explanation:

Answer: where is the figure tot he right???

Step-by-step explanation:

Answer:

the answer is 76 mph

Step-by-step explanation:

Answer:

76 Mph

Step-by-step explanation:

Divide 608 by 8 to get 76.

After you get 76 from dividing you can then check your answer by multiplying 76 by 8 to get 608.

Thus 76 is the answer.

Hope this helps and have a great day.

Answer: I think............576?

Step-by-step explanation: first you  have to figure out how many weeks are in a month. there are 48 then sense she walks 3 times in a week ou times that by 48 you get 48x3=144 then 144x4=576.

  hopefully i'm right

Answer:

624 miles a year.

Step-by-step explanation

first you have to multiply the 4 miles she walks by the 3 times a week.

therefore 4x3=12 and she walks 12 miles a week.

then multiply 12 by the amount of weeks there are in a year which is 52.

52x12= 624.

therefore she walks 624 miles a year

Answer:

La semana pasada, Chen compró galones de gasolina a por galón. Esta semana, compró  galones de gasolina a  dólares el galón.

Step-by-step explanation:

1.3, because 1.3 cannot change.

The dimensions of the framed picture would be "x + 2" centimeters for the width and "x + 8" centimeters for the length, where "x" represents the width of the original rectangular picture.

To determine the dimensions of the framed picture, we can use the information. Let's assume the width of the picture is "x" centimeters.

Since the rectangular picture is 6 centimeters longer than it is wide, the length of the picture would be "x + 6" centimeters.

When a frame 1 centimeter wide is placed around the picture, it adds 1 centimeter to each side of the picture.

Therefore, the width of the framed picture would be "x + 2" centimeters (2 additional centimeters for the frame on both sides) and the length would be "x + 6 + 2" centimeters (2 additional centimeters for the frame on both sides).

In simplified form, the dimensions of the framed picture would be width: "x + 2" centimeters and length: "x + 8" centimeters.

The complete question is "'A rectangular picture is 6 cm longer than it is wide. A frame 1 cm wide is placed around the picture. Write a polynomial that represents the area of the frame?"

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Answer:

They represent the rise and run of the graph.

Step-by-step explanation:

The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)

The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).

The ratio of rise to run is the slope of the graph, which tells us  how many steps should we take on the y-axis for every step we move forward on the x-axis.

When we draw a card from a standard deck of 52 cards, the total number of possible outcomes is 52 cards. This means that there are 52 equally likely outcomes.Now, we need to find the probability of drawing either a ten or a two.

There are four tens (10 of hearts, 10 of diamonds, 10 of clubs, 10 of spades) and four twos (2 of hearts, 2 of diamonds, 2 of clubs, 2 of spades) in a deck of 52 cards.Therefore, the number of favorable outcomes is 4 (four tens and four twos).So, the probability of drawing either a ten or a two can be found as follows:P(event) = number of favorable outcomes/total number of outcomesP(drawing a ten or a two) = 4/52 = 1/13This is the required probability.Now, we need to find the probability of drawing either a ten or a heart.

There are four tens (10 of hearts, 10 of diamonds, 10 of clubs, 10 of spades) and 13 hearts (including 10 of hearts) in a deck of 52 cards.Therefore, the number of favorable outcomes is 4 + 13 - 1 (10 of hearts was counted twice) = 16.So, the probability of drawing either a ten or a heart can be found as follows:P(event) = number of favorable outcomes/total number of outcomesP(drawing a ten or a heart) = 16/52 = 4/13This is the required probability.

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Answer:

x=5

Step-by-step explanation:

9x=4x+25

-4x  -4x

5x=25

x=5

Answer:

Get an answer for 'The equation(k+3)x^2+6x+k = 5, where k is a constant, has two distinct real solutions for x.Show that k satisfies k^2-2k-24<0' and find ...Step-by-step explanation:

the factors of P(x) are:(x + 4)(x - 6)(x + 3)

If P(-4) for the polynomial function P(x) = x³ + 11x² + 34x + 24 equals zero, then it means that x + 4 is a factor of the polynomial function.

Let's substitute -4 for x in the polynomial function, then we'll have:

P(-4) = (-4)³ + 11(-4)² + 34(-4) + 24P(-4) = -64 + 176 - 136 + 24P(-4) = 0If P(-4) is zero, then the polynomial has a factor of x + 4.

We can find out the other factor by dividing the polynomial by x + 4:x³ + 11x² + 34x + 24 ÷ (x + 4) = x² + 7x + 6(x + 4) + (-10x - 24)x² + 7x + 6 + (-10x - 24) = x² - 3x - 18

We can now factor this quadratic polynomial: x² - 3x - 18 = (x - 6)(x + 3)

Therefore, the factors of P(x) are:(x + 4)(x - 6)(x + 3)

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Answer:

Hi guys! Its 6, I took the quiz and I was sure to check after!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

given data

mints $0.96 per pound

chocolates $4.70 per pound

lollipops $0.07 each

cost of each items based on the amount item

mints $0.96*0.75= 0.72

chocolates $4.70*1.5=7.05

lollipops $0.07*15=1.05

total cost= 0.72+7.05+1.05

total cost=$8.82

Answer:

The answer is 8.82

Step-by-step explanation: