Find the limit !!!!!!

Answer:

-1.5

Step-by-step explanation:

how big are the cups????

Division is one of the four fundamental arithmetic operations. The number of cups of water that Billy will use to fill a 9-litre bucket is 9.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that a cup holds 1 litre of water. Therefore, The number of cups of water that Billy will use to fill a 9-litre bucket is,

Number of cups = 9 liters / 1 liter

                           = 9

The number of cups of water that Billy will use to fill a 9-litre bucket is 9.

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The real number t corresponds to the point P(-2/1, 2/3) on the unit circle. To evaluate the six trigonometric functions of t, we can use the coordinates of point P.

Part 2 of 6:
cost= x-coordinate of point P = -2/1 = -2

Part 5 of 6:
sect= 1/cost= 1/(-2)= -1/2

The other four trigonometric functions can be evaluated similarly using the coordinates of point P:

sint= y-coordinate of point P = 2/3

cott= x-coordinate/y-coordinate = (-2/1)/(2/3) = -3

csc t= 1/sint= 1/(2/3)= 3/2

tant= y-coordinate/x-coordinate = (2/3)/(-2/1) = -1/3

Therefore, the six trigonometric functions of t are:

sint= 2/3
cost= -2
tant= -1/3
csc t= 3/2
sect= -1/2
cott= -3

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Answer:

Lo siento, no sé la respuesta a esas preguntas.

Answer:

18

Step-by-step explanation:

4/3 is the ratio of soccer balls to volley balls

4/3=24/x

4x=24*3

4x=72

x=18

Answer:

18

Step-by-step explanation:

4/3 is the ratio of soccer balls to volley balls

4/3=24/x

4x=24*3

4x=72

x=18

When they sell 40 hamburgers and 50 hotdogs, they will make a maximum profit of $23.70, and the required inequality is x + y ≤ 90.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other.

Therefore, inequality emerges from a lack of balance.

So, let's take:

x for hamburgers and y for hot dogs.

Then, the objective quantity would be:

33x + 21y

Then, the constraint would be as follows:

x ≥ 10, x ≤ 40

y ≥ 30, y ≤ 70

x + y ≤ 90 (Required Inequality)

Corner points:

(10, 70)

(20, 70)

(40, 50)

(40, 30)

(10, 30)

Testing corner points: P = 33x + 21y

(10, 70): $18.00

(20, 70): $21.30

(40, 50): $23.70

(40, 30): $ 19.50

(10, 30): $9.60

Therefore, when they sell 40 hamburgers and 50 hotdogs, they will make a maximum profit of $23.70, and the required inequality is x+y≤90.

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Correct question:
A snack bar cooks and sells hamburgers and hot dogs during football games. To stay in business, it must sell at least 10 hamburgers but cannot cook more than 40. It must also sell at least 30 hot dogs but cannot cook more than 70. It cannot cook more than 90 sandwiches altogether. The profit on a hamburger is $0.33 and $0.21 on a hot dog. How many of each kind of sandwich should the stand sell to make the maximum profit? Identify which inequalities represent the system for the given situation.

The volume is (8π/3) cubic units.

To find the volume of the solid enclosed by the paraboloid z = 3 + x² + (y − 2)²and the planes z = 1, x = −2, x = 2, y = 0, and y = 2, we need to use a triple integral.

The limits of integration for x, y, and z are as follows:

-2 ≤ x ≤ 2

0 ≤ y ≤ 2

1 ≤ z ≤ 3 + x² + (y − 2)²

Therefore, the triple integral for the volume is:

V = ∫∫∫ (3 + x² + (y − 2)²- 1) dx dy dz, where the limits of integration are as given above.

Simplifying this integral, we get:

V = ∫∫∫ (x² + (y − 2)²) dx dy dz

Using cylindrical coordinates, we can express x and y in terms of r and theta:

x = r cos(theta)

y = r sin(theta)

The limits of integration for r and theta are:

0 ≤ r ≤ 2

0 ≤ theta ≤ 2π

Substituting these values into the triple integral, we get:

V = ∫∫∫ r² dr dtheta dz

Integrating with respect to r and theta first, we get:

V = ∫0² ∫0^2π (r²) dtheta dr ∫1^(3 + r²- 4r sin(theta)) dz

Simplifying the innermost integral, we get:

V = ∫0²∫0^2π (r²) dtheta dr (2 + r² - 4r)

Evaluating the integrals, we get:

V = ∫0^2 (2πr²  - 4π\(r^3\) + (4/3)\(r^4\)) dr

V = (8π/3)

Therefore, the volume of the solid enclosed by the paraboloid z = 3 + x² + (y − 2)² and the planes z = 1, x = −2, x = 2, y = 0, and y = 2 is (8π/3) cubic units.

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After  solving the equation 5(X - C)  = D , for the given matrices , we get , the unknown matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

In the question ,

it is given that , the matrices are

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) .

and the equation is given as 5(X - C)  = D ,

and we have to find the value of unknown matrix X .

let the matrix X be = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\)

Substituting , the given matrices A , B , C and D in the equation 5(X - C)  = D ,

we get ,

5(X - C)  = D ,

5X - 5C = D ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) - 5\(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\)

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) - \(\left[\begin{array}{ccc}15&15\\20&0\\0&40\end{array}\right]\)

Simplifying further ,

we get ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}25&45\\50&30\\30&40\end{array}\right]\)

Dividing both sides by 5 ,

we get ,

X = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\)

Therefore , the matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

The given question is incomplete , the complete question is

Solve the matrix equation for the unknown matrix X.

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) . the equation is

5(X - C)  = D .

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Answer:

y=3x-12

Step-by-step explanation:

We need to find the m of y = mx+b which is the slope:

-3-(-6)/3-2 = 3 as our slope

We know have y = 3x+b.

If we keep applying slope to the point (2,-6) and go downwards. We hit (0,-12). That's our y intercept. So we replace b with our y intercept which is -12. We know get y = 3x-12

Answer:

7/5

Step-by-step explanation:

Just follow BODMAS.

(2/3) x (6/5) / (4/7)

= (2/3) x (6/5) x (7/4)

= (2 x 6 x 7) / (3 x 5 x 4)

= 84 / 60

= 7 / 5

There we have it :)

Answer:

Step-by-step explanation:

(2/3) (6/5)÷(4/7) =

\(= \dfrac{2}{3}*\dfrac{6}{5}*\dfrac{7}{4}\\\\\\=\dfrac{7}{5}\)

Answer:

2x^3-x^2-10x-7

Step-by-step explanation:

Distribute x to 2x^2, 3x, and -7

Then, distribute 1 to 2x^2, 3x, and -7

Hope this helps.

:)

Check the picture below.

Answer:

1cm

Step-by-step explanation:

Kindly refer to the attached image for clarity

Given data

Let the big circle have a radius R= 3.5cm

and the small circle have a radius r= 2.5cm

From the image, we can see that the distance between the two centers is the difference of the radii

Distance= R-r

Distance= 3.5-2.5= 1cm

Hence the distance is 1cm

The curve is smooth for \(t\neq 0\) on the intervals (-∞, 0), (0, ∞)

We have to consider the curve

                                               \(r(t) = 8t^{2}i + 7t^{3}j\)

Now, the objective is to find the open intervals when on which the curve given by the vector valued function is smooth, using the result.

The parametrization of the curve represented by the vector valued function

                                       \(r(t) = f(t)i + g(t)j + h(t)k\)

This equation is smooth on an open interval when f'(t), g'(t), and h'(t) are continuous on \(l\) and r'(t) \(\neq\) 0 for any value of t in the interval.

Now, we know the vector equation:

\(r(t) = 8t^{2}i + 7t^{3}j\)

Differentiating r(t) with respect to r,

\(r'(t) = 16t i + 21t^{2} j\)

At t = 0, equate r'(t) = 0.

\(r'(0) = 16(0) + 21(0)^{2}\)

Therefore, the curve is smooth for all values except 0, as we can see above.

Hence, the curve is smooth for \(t\neq 0\) on the intervals (-∞, 0), (0, ∞).

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Step-by-step explanation:

I hope it will be helpful for you.

Answer:

The answer to your problem is, A. \(\frac{4}{5}\)

Step-by-step explanation:

We would need to count the entire shaded area both green and blue for the numerator. Which shown the denominator will be all the colors yellow, blue and green squares.

Total Green and blue 24, numerator

Total Green, blue Yellow 30, denominator

Which then divide 24 ÷ 30.

Simplify: divide numerator and denominator by 6

= \(\frac{4}{5}\)

Thus the answer to your problem is, A. \(\frac{4}{5}\)

The probability that a randomly selected household with a savings account has no checking account is approximately 0.149, or 14.9%.

To compute the probability that a randomly selected household with a savings account has no checking account, we can use Bayes' theorem. Let S denote the event that a household has a savings account, and C denote the event that a household has no checking account.

We want to find P(C | S), the probability that a household with a savings account has no checking account.

Using Bayes' theorem, we have:

P(C | S) = P(S | C) * P(C) / P(S)

We know that 40% of households with no checking accounts have savings accounts, so P(S | C) = 0.4. We also know that 21.5% of households have no checking accounts, 66.9% have regular checking accounts, and 11.6% have NOW accounts, so P(C) = 0.215.

Finally, we can use the law of total probability to find P(S), the overall probability of a household having a savings account:

P(S) = P(S | C) * P(C) + P(S | regular checking) * P(regular checking) + P(S | NOW) * P(NOW)

= 0.4 * 0.215 + 0.716 * 0.669 + 0.793 * 0.116

≈ 0.576

Substituting these values into the equation for Bayes' theorem, we get:

P(C | S) = 0.4 * 0.215 / 0.576

≈ 0.149

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Complete question is:

A survey revealed that 21.5% of the households had no checking account, 66.9% had regular checking accounts, and 11.6% had NOW accounts. Of those households with no checking account 40% had savings accounts. Of the households with regular checking accounts 71.6% had a savings account. Of the households with NOW accounts 79.3% had savings accounts.

Compute the probability that a randomly selected household with a savings account has no checking account.

Answer: B is the correct choice

Step-by-step explanation:

The values are essentially the same. You need to recognize how the symbols in the expressions match up with the symbols on the graph.

The open circle on the right end of the parabola means the function is less than (not including) 2 so <2 for that part.

The solid circle at the left of the line means f(x) includes all the values to the right are greater than or equal to 2 so ≥2 for that part.

As per the GDP, the percentage did the price level rise between 2016 and ​2019 is 27.5%

To calculate the percentage increase in production, we first need to find the nominal GDP for each year. Nominal GDP is the current dollar value of all goods and services produced within a country's borders during a specified period of time. We can use the GDP deflator and real GDP to calculate nominal GDP as follows:

Nominal GDP = Real GDP x GDP deflator

Using the information provided in the question, we can calculate the nominal GDP for each year as follows:

Nominal GDP in 2016 = Real GDP in 2016 x GDP deflator in 2016

Nominal GDP in 2019 = Real GDP in 2019 x GDP deflator in 2019

Once we have the nominal GDP for each year, we can calculate the percentage increase in production as follows:

Percentage increase in production = (Nominal GDP in 2019 - Nominal GDP in 2016) / Nominal GDP in 2016 x 100% = 27.5%

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Answer:

∠L & ∠M are 62°

∠J = 118°

Step-by-step explanation:

check:

all 4 angles should total 360°

118°+118°+62°+62° = 360°

360° = 360°

Answer:

If 55 + 5x = 0 then x = -11

Step-by-step explanation:

To find x just get it by itself

55 + 5x = 0

subtract 5x

55 = -5x

then divide by -5

-11 = x

Answer:

15π = 47.12

Step-by-step explanation:

C = pi(diameter)

C= 15π

Answer:

Solution given:

diameter [d]=15m

circumference =?

we have

circumference of circle =πd=π×15=15π or 47.12m

Slope of the line passing through (-5,-4)  and (-1,3)is 1.75

The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

The  points belong to an increasing, linear function.

Equation: y = 1.75x + 4.75.

m=7/4=1.75.

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Answer:

3

Step-by-step explanation:

Answer: You're correct :)

Step-by-step explanation:

Answer: 4 feet < Length < 21 feet

Step-by-step explanation:

From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:

Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:

4 feet < Length < 21 feet

Answer:

12.5

its right

Step-by-step explanation:

Answer:

two solutions

Step-by-step explanation:

Answer: Christa would need to save $35.45.

Step-by-step explanation:

70.45 - 35 = The amount Christa needs to save

70.45 - 35 = 35.45

Answer:

Explanation:

\(\dashrightarrow \sf \left(2^4\right)^2\)

apply exponent rule: \(\bold{\left(a^b\right)^c=a^{bc}}\)

\(\dashrightarrow \sf 2^{4*2}\)

\(\dashrightarrow \sf 2^{8}\)

\(\dashrightarrow \sf 256\)

\(\large{\boxed{(\sf 2^{4})^2 \ \ = \ \ 256}\)