A machine seals 55 envelopes per minute how many envelopes can the machine seal in 35 minutes.

The calculated price per video game for store A is $1.79 per game

From the question, we have the following parameters that can be used in our computation:

The price per video game for store A is calculated as

Price per video game = Total price/Number of games

using the above as a guide, we have the following:

Price per video game = 8.95/5

Evaluate the quotient

So, we have

Price per video game = 1.79

Hence, the price per video game for store A is $1.79 per game

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Answer:

x= -5

Step-by-step explanation:

4(x + 3) = -8

4x + 12 = -8

4x = -20

x = -5

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

desculpa não consigo responder pq esta td inglês ou espanhol prá mim se vc me dizer como posso fazer para voltar a ser português possa te ajudar em algo

Answer:

2.72 \(cm^2\)

Step-by-step explanation:

You first find the area of the whole rectangle.

Then you have to find the area of the circle. The area of a circle is \(2\pi r\).

The radius is 1 so it will be 2\(\pi\).

\(\pi\) equals 3.14 so you have to do 3.14*2 that equals 6.28.

Finally subtract 9-6.28=2.72

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

#1  (0,-4)

#2  (5,0)

#3  (3,1)

Step-by-step explanation:

#1.  (-3, 2) (0, y)  slope = -2

slope = rise/run    therefore slope = -2/1  or down 2 and over 1

so from -3 to 0 you are going over 3 units (or 3 times)  Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6      so 2-6 = -4

so y intercept (b)  = -4 0r (0,-4)

#2   (-7,-4)  (x,0)  slope (m) = 1/3   -7+12=5    x=5

#3   (4,-3)   (x, 1)   slope (m) = -4   (4/-1)   Moving one unit in slope  means

-3=4=1 for Y and 4-1=3 for X    therefore the point is (3, 1)

Answer:

the photo is black..i cant see the question...

Step-by-step explanation:

Answer:

ok, but there's nothing on the screen, I think you linked the wrong document.

Step-by-step explanation:

Answer:

oop

Step-by-step explanation:

\(=78xy\)

Answer:

200,000,000

Step-by-step explanation:

Just multiply them. :)

Answer:

(1000)(200000)

=200 000 000  (200 million)

:) :)

Step-by-step explanation:

Answer:

what's the question

Step-by-step explanation:

lol but u could mark me brainlyist

Answer:

.....................................

Step-by-step explanation:

\(f^(-1)(2) = 6\), which is consistent with our earlier result.

A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.

Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?

Solution:

To find f^(-1)(2), we need to find the value of x such that  \(f(x) = 2\) . We can set up an equation:

\(f(x) = \sqrt(2x - 8) = 2\)

Squaring both sides, we get:

\(2x - 8 = 4\)

\(2x = 12\)

\(x = 6\)

Therefore, \(f^(-1)(2) = 6.\)

We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:

\(f(f^(-1)(x)) = x\)

We can substitute x = 2 and solve for f^(-1)(2):

\(f(f^(-1)(2)) = 2\)

\(f^(-1)(2) = (f(6))^(-1)\)

f(6) = √(2(6) - 8) = √4 = 2

Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.

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The end behavior of the function q(x) is:

To know the end behavior we need to look at the degree and the sign of the leading coefficient.

If the degree is even, and the leading coefficient is negative, then in both ends the function will tend to negative infinity.

Here we can see that the function is:

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

So, the degree is 8, and the leading coefficient is -2, then the end behavior of the function is:

when x → ∞, q(x) → -∞

when x → -∞, q(x) → -∞

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Answer:

the answer is 33

Step-by-step explanation: Trust me don't worry :)

Answer:

  x + y = 6

Step-by-step explanation:

The two intercepts are given, so we can write the equation first in intercept form:

  x/x-intercept +y/y-intercept = 1

  x/6 +y/6 = 1

Multiplying by 6 gives the standard form equation:

  x + y = 6

The quotient of a number x and two tenths is 5x

Quotient is defined as the quantity derived from the division of two numbers.

From the information given, we are to find the the quotient of;

The quotient is written thus;

= x/ 2/ 10

Take the inverse of the denominator and multiply

= x × 10/ 2

= 10x/ 2

find common divisor

= 5x

Thus, the quotient of a number x and two tenths is 5x

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Answer:

The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

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Answer:

24

Step-by-step explanation:

Answer:

The answer would be At least 20 box.

Step-by-step explanation:

i anwerd it in the lesson and got it right. Hope this helps. :)

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

Answer:

I think it’s 1

Step-by-step explanation:

Because it’s a right triangle and it’s equal to 90° So

and 2,3,4 is less than 90 so

Answer:

He ate 1/6 of the pizza all together

Answer:

a) 13.9%.

b) If the nuber of patient files in this study were increased to 100, the margin of error would be decreased.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

35 random patient files and finds that 27 of these patients are using this same toothpaste.

This means that \(n = 35, \pi = \frac{27}{35} = 0.7714\)

a. What is the margin of error for a 95% confidence interval to the nearest tenth of a percent?

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(M = 1.96\sqrt{\frac{0.7714*0.2286}{35}}\)

\(M = 0.139\)

As a percent, a margin of error of 13.9%.

b. If the number of patient files in this study were increased to 100, what would happen to the margin of error?

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

This means that the margin of error is inversely proportional to the sample size. As n increases, n decrease. Then:

If the nuber of patient files in this study were increased to 100, the margin of error would be decreased.

Answer:

a) 13.9%.

b) If the number of patient files in this study were increased to 100, the margin of error would be decreased.

Step-by-step explanation:

10 and 1/3 minus 7 and 2/3 is equal tο 8/3 οr 2 and 2/3.

In Maths, a fractiοn is used tο represent the pοrtiοn/part οf the whοle thing. It represents the equal parts οf the whοle. A fractiοn has twο parts, namely the numeratοr, and denοminatοr. The number οn the tοp is called the numeratοr, and the number οn the bοttοm is called the denοminatοr.

Tο subtract 7 and 2/3 frοm 10 and 1/3, we can write bοth as imprοper fractiοns with a cοmmοn denοminatοr and then subtract:

10 and 1/3 - 7 and 2/3 = (31/3) - (23/3)

Tο subtract these fractiοns, we need a cοmmοn denοminatοr, which is 3. We can rewrite the fractiοns with the cοmmοn denοminatοr οf 3:

(31/3) - (23/3) = (31 - 23)/3 = 8/3

Therefοre, 10 and 1/3 minus 7 and 2/3 is equal tο 8/3 οr 2 and 2/3.

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Complete question:

Convert the given sentence in to an algebraic expression and solve. Ten and one third minus seven and two thirds

Step 1: Write out the statement

p is the statement "Triangle ABC is right"

q is the statement "Triangle ABC has a right angle"

Step 2: Write out the representations of the arguments

The symbol for "if and only if" is ⇔

Therefore the representation for the statement

"Triangle ABC is right if and only if Triangle ABC has a right angle." is

p ⇔ q

The symbol for "or" is ∨

Therefore the representation for the statement

"Triangle ABC is right or Triangle ABC has a right angle." is

p ∨ q

The symbol for "Therefore" is ∴

and the symbol for "and" is ∧

Therefore the representation for the statement

"Therefore, Triangle ABC is right and Triangle ABC has a right angle." is

∴(p ∧ q)

s

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape