320In the diagram above, L1 = 40°.Find the measure of 22.22 = [?]°ta

Answer:

Um it’s (1,0) right?

Step-by-step explanation:

The equation for g (x) is,

⇒ g(x) = x² -3

Since, The function is,

⇒ f (x) = x²

when x = 0, f(x) = 0

hence it has vertex at (0,0)

Since, g(x) is shifter version of f(x) and has vertex at (-1, 4),

Then, g(x) must be shifted along y axis.

So, We get;

g(x)= x²+c

when x = - 1, g(x)= 4

4 = (-1)² + c

4 = 1 + c

c = 3

Thus, The equation for g (x) is,

g(x) = x² -3

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By the fundamental theorem of calculus,

\(\displaystyle y = \int_0^v \sqrt{3+4t^2} \, dt \implies \boxed{\frac{dy}{dv} = \sqrt{3+4v^2}}\)

In general,

\(\displaystyle \frac{d}{dx} \int_0^{g(x)} f(u) \, du = f(g(x)) \frac{dg}{dx}\)

a) There was an increase of 83.5 pizzas each week from week 4 to week 6.

Increase in no of pizzas from 4 to 5th week = 356 - 278 = 78

78  pizzas sales increased.

Increase in no of pizzas from 5 to 6th week = 445 - 356 = 89

89 pizzas sales increased.

On average = 78 + 89/2

= 167/2

= 83.5

Therefore,

There was an increase of 83.5 pizzas each week from week 4 to week 6.

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Answer:

$2728.40

Step-by-step explanation:The formula to calculate depreciation in this case is   Value = 17,000(1-.1225)14

Solving for Value after 14 years is   $2728.40

\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &17000\\ r=rate\to 12.25\%\to \frac{12.25}{100}\dotfill &0.1225\\ t=years\dotfill &14\\ \end{cases} \\\\\\ A=17000(1 - 0.1225)^{14}\implies A=17000(0.8775)^{14}\implies A\approx 2728.40\)

Answer:

7/12 or 58.333%

Step-by-step explanation:

There are the 36 possible outcomes.  

6+5+4+3+2+1 = 21 are greater than 6  

Probability is 21/36 = 7/12 or 58.333%

Answer:

4/9, 11/13, 6/5

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.

Answer:

There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.

Step-by-step explanation:

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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Answer:

See the answers below. Thanks!

Step-by-step explanation:

(a). Option F is the correct choice. "There are two mutually exclusive outcomes, success or failure."

(b). P(X=15) = 0.1702

(c). P(X<15) = 0.0673

(d). P(X>=15) = 1 - P(X<15) = 0.9327

(e). P(13<=X<=15) = 0.1482

Best Regards!

Answer:

A bar graph shows amounts as bars of different sizes and, sometimes, of different colors. Longer bars represent larger numbers.

The diagonal of the rectangular box will be 9.7 inches.

Given that:

Length, L = 3 inches

Width, W = 2 inches

Height, H = 9 inches

The diagonal of the rectangular prism is given as,

d² = L² + W² + H²

The diagonal of the rectangular box will be calculated as,

d² = 3² + 2² + 9²

d² = 9 + 4 + 81

d² = 94

d = √94

d = 9.7 inches

The diagonal of the rectangular box will be 9.7 inches.

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Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

Answer:

11/6

Step-by-step explanation:

18f = 33g

f/g = 33/18 = 11/6

Answer:

Following are the ratio to this question:

Step-by-step explanation:

Given:

\(\bold{\tan \phi = \frac{60}{11} }\\\\\)

Formula:

\(\sin \phi = \frac{Perpendicular}{Hypotenuse}\\\\\cos \phi = \frac{Base}{Hypotenuse} \\\\\tan \phi = \frac{Perpendicular}{Base} \\\\\ cosec \phi = \frac{Hypotenuse}{Perpendicular}\\\\\sec \phi =\frac{Hypotenuse}{Base}\\\\\cot \phi = \frac{Base}{Perpendicular}\\\\\)

\(\ Base = 11 \\\ Perpendicular =60\\\ Hypotenuse= 61\\\)

\(\sin \phi = \frac{60}{61}\\\\\cos \phi = \frac{11}{61} \\\\\tan \phi = \frac{60}{11} \\\\\ cosec \phi = \frac{ 61}{60}\\\\\sec \phi =\frac{61}{11}\\\\\cot \phi = \frac{11}{60}\\\\\)

Answer:

2400 liters in tank

Step-by-step explanation:

Company A would take 260 minutes more than Company B for filling 2400 liters of water in Anil's tank when the rate at which Company A fills is 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.

Rate is the ratio of quantity to time.

\(RATE = \frac{QUANTITY}{TIME}\).

In the question, we are asked to find the time which Company A takes more than Company B for filling a water tank of 2400 liters when Company A fills water at a rate of 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.

For Company A:

The capacity of the tank = 2400 liters

Rate = 8 liters in 1 minute and 40 seconds

Now, 1 minute and 40 seconds = 1 + 40/60 minutes = 1.67 minute

Therefore, the actual rate = 8/1.67 = 4.8 liters per minute.

Therefore, the time taken by Company A = 2400/4.8 minutes = 500 minutes.

For Company B:

The capacity of the tank = 2400 liters.

We know 1 gallon = 4.54 liters,

or, 1/4.54 gallons = 1 liter.

Therefore, the capacity of the tank = 2400 * (1/4.54) gallons = 528.634 gallons.

Rate = 2.2 gallons per minute.

Therefore, the time taken by Company B = 528.634/2.2 minutes = 240.288 minutes.

Therefore, the time that Company A takes more than Company B = 500 - 240.288 minutes = 259.712 minutes ≈ 260 minutes.

The given question is an incomplete question. The complete question is:

"A water tank is empty.

Anil needs to fill the tank with 2400 liters of water.

Company A supplies water at a rate of 8 liters in 1 minute and 40 seconds.

Company B supplies water at a rate of 2.2 gallons per minute.

1 gallon = 4.54 liters.

Company A would take more time to fill the tank than Company B would take to fill the tank.

How much more time?

Give your answer in minutes correct to the nearest minute."

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Answer:

  X+2Y = 8

-2X-3Y = -7

(X-2X+2Y-3Y)=8-7

-X-Y=1

To make 10 in math we have to break numbers such that they sums up in multiple of 10.

When learning their basic addition facts in the first grade, kids use the "create a ten" approach to help them understand addition facts that could otherwise be challenging to remember, like 8 + 4 or 9 + 5. Students apply the technique by breaking down one of the addends to create ten from the other.

Like if we have to add 7+4 then what we can do break 4 as 3+1 and then add 7+3 =10 then add 1 into it 10+1 = 1 which is 7+4.

When students work with greater numbers, the make a ten technique can be expanded. Consider adding 37 by 14. Do you understand how 7 + 4 are related? By breaking down 14 into 3 and 11, adding the 3 to 37 to create 40, then adding 40 + 11 to get 51, we might use the make a ten method. 

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The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.

Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

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Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

The average number of likes will be 16.5. the correct option is D.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.

Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.

The average will be calculated as:-

Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6

Mean = 99 / 6

Mean = 16.5

Therefore, the average number of likes will be 16.5. the correct option is D.

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Answer:

1)  Given

2)  Given

3)  Segment Addition Postulate

4)  Segment Addition Postulate

5)  Substitution Property of Equality

6)  Transitive Property of Equality

7)  Definition of congruent segments

Step-by-step explanation:

If a line segment has two endpoints, A and C, and a third point B lies somewhere on the line segment AC, the distance from A to B plus the distance from B to C is equal to the distance from A to C:

If two expressions are equal to each other, then we can replace one of them with the other in any equation or expression, and the equality will still hold true

If a = b and b = c, then a = c.

Statements               Reasons                                        

1)   AB ≅ DE               1)  Given

2)  BC ≅ EF               2)  Given

3)  AB + BC = AC      3)  Segment Addition Postulate

4)  DE + EF = DF       4)  Segment Addition Postulate

5)  AB + BC = DF      5)  Substitution Property of Equality

6)  AC = DF               6)  Transitive Property of Equality

7)  AC ≅ DF              7)  Definition of congruent segments

Answer:

$25 per house.

Step-by-step explanation:

h, is the variable in this sitution. Quite literally this means that # of hours is the only value that will CHANGE/be variable. Since $25 has no variable assigned with it, it will be constant.

Answer:

The answer is

A) Rewrite one side (or both) using the distributive property

B) yes

Step-by-step explanation:

did it on khan

Rewrite the equation using the distributive property will enable us get equation B from equation A

From the result obtained on (1) ; we can conclude that both equations are equivalent

Equation A :

3(x + 2) = 18

Equation B :

3x + 6 = 18

To get equation B from A.

We use the distributive property :

3(x + 2) = 18

3×x + 3×2 = 18

3x + 6 = 18

2.)

Comparing both equations :

Since 3(x + 2) = 3x + 6 according to the distributive property :

We can conclude that the equations A and B are the equivalent.

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Answer:

10

Step-by-step explanation:

this is easy... subtraction

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16