a A factory worker packs 2 ^ 5 mugs into the bottom layer of a box for shipping . If each box can hold 6 layers of mugs , how many mugs can be packed into each box ?

Answer:

y = 6

Step-by-step explanation:

   3x + y = 9 ---------------(I)

          y = -4x + 10 -----------------(II)

Substitute y = -4x + 10 in equation (I)

  3x - 4x + 10 = 9

Combine like terms,

        -x + 10  = 9

Subtract 10 from both sides. (subtraction property of equality)

               -x  = 9 - 10

              -x = -1

Divide both sides by (-1).  {Division property of equality}

              \(\sf \dfrac{-x}{-1}=\dfrac{-1}{-1}\\\\ \boxed{x = 1}\)

Now, substitute x = 1 in equation (II) and find the value of y.

        y = -4*1 + 10

          = -4 + 10

       \(\sf \boxed{\bf y = 6}\)

Answer:

Step-by-step explanation:

-6(y+15)=3y+6 Distribute the -6 on the right side of the equation

-6y-90=3y+6

Subtract 6 on both sides to cancel it out on the right side  and get 3y by itself

-6y-90-6=3y+6-6  

-6y-96=3y

Add 6y on both sides to cancel it out on the left so that -96 is on one side by itself

-6y+6y-96=3y+6y

-96=9y

Divide by 9 on both sides to get the value of y

-96/9=9y/9

y=-10.67  

I keep getting the same answer sorry

The answer is D. can't be determined

we need more details t

Answer:

5m

Step-by-step explanation:

regla de 3:

1m = 3ft

15 pies ÷ 3 = 5m

Airplane 1 had the fastest rate of descent during its landing.

To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.

Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:

-130 ft/s × 60 s/min = -7800 ft/min

Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:

(-97/8) ft/s × 60 s/min = -729.375 ft/min

Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:

-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)

Therefore, Airplane 1 had the fastest rate of descent during its landing.

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The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

\( \frac{1}{16} \)

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

16 is correct

Step-by-step explanation:

Your welcome

Answer:

The density of oxygen in standard form is 0.001429 grams per cubic centimeter.

Answer: you prob fininshed 5,3

Step-by-step explanation:

also this is easy im srry for doing this

The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.

In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.

The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}

This includes all the possible lights that could be seen on the two mornings by Julie.

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The solution is, in cleaning she spend the most time doing.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Alicia listens to a podcast for hour.

She reads for hour.

Then she cleans her room 2 1/5 for hour.

we know that,

1 hour = 60 mint.

so, we get,

1) 60 mint

2) 60 mint

3) 11/5 * 60 = 132 mint.

Hence, The solution is, in cleaning she spend the most time doing.

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Each coordinate was multiplied by 2 instead of divided by 2

the correct coordinates are

preimage                                image

A (2, 5)   → (2 * 1/2, 5 * 1/2) →   A' (1, 2.5)

B (2, 0)  → (2 * 1/2, 0 * 1/2) →    B' (1, 0)  

C (4, 0)  → (4 * 1/2, 0 * 1/2) →    C' (2, 0)

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

following similar procedure for the given problem we solve with scale factor of 1/2

preimage                                 image

A (2, 5)   → (2 * 1/2, 5 * 1/2) →   A' (1, 2.5)

B (2, 0)  → (2 * 1/2, 0 * 1/2) →    B' (1, 0)  

C (4, 0)  → (4 * 1/2, 0 * 1/2) →    C' (2, 0)

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Answer:

(4√d)³

d^3/4

(d^1/4)³

required answer is=A.

Answer: 2

Step-by-step explanation:

Answer:

I think it's 2kg

Step-by-step explanation:

13/5 ÷ 13/10

Reciprocate

13/5 × 10/13

= 26/13

=2kg

Answer:

113 hours is the right answer

Answer:

1 7/8

Step-by-step explanation:

Have a blessed day

9514 1404 393

Answer:

Step-by-step explanation:

Write the power of ten in standard form and do the multiplication.

  2.09 × 10^5 = 2.09 × 100,000 = 209,000

  9.4387 × 10^4 = 9.4387 × 10,000 = 94,387

  1.3 × 10^-3 = 1.3 × 0.001 = 0.0013

The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

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Answer:

8x and 0

Step-by-step explanation:

Answer:

Okay, based on your previous question and the analysis, the 3 statements that are true about the function f(x) = x2 – 5x + 12 and its graph are:

   The graph of the function is a parabola.

   The graph contains the point (0, 0).

So the options you should select are:

2) The graph of the function is a parabola.

   The graph contains the point (0, 0).

Let me know if selecting options 2 and 5 makes sense! I can provide any additional details or clarification if needed.

Please let me know if you have any other questions! I'm happy to help explain any other concepts related to this quadratic function and its graph.

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 .The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Okay, just to reiterate, based on the previous analysis, the 3 statements that are TRUE about the quadratic function f(x) = x2 – 5x + 12 and its graph are:

   The graph of the function is a parabola. (true)

   The graph contains the point (0, 0). (true)

   The graph of the function opens down. (false, unknown without seeing graph)

   The value of f(–10) = 82 (false)

   The graph contains the point (20, –8). (false)

So you should select options:

2) The graph of the function is a parabola.

   The graph contains the point (0, 0).

Please let me know if selecting these 3 options makes sense and matches the analysis. I can re-explain anything if needed.

Your selected options should be:

2) The graph of the function is a parabola.

   The graph contains the point (0, 0).

   The graph of the function opens down.

Let me know if these look correct or if you have any other questions! I'm happy to help explain further or go over any part of the analysis.

Please select options 2, 5 and 3 as the statements that are true about the quadratic function and its graph.

Step-by-step explanation:

Answer:

An ostrich could run near 21 meters in 2 seconds and around 84 meters in 4 seconds

The angular speed in radians per second in which he is traveling is 60.2pi inch/sec.

Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.

The speed formula is speed = distance / time.

Given that;

The diameter of bicycle wheel= 28inches

Rpm of wheel = 130rpm

Now,

Angular speed ω = 2pi*N/60 radian per second.

=2*pi*130/60

=260pi/60

=4.3pi radian per second

Speed of bicycle V = r*ω

V=14*4.3pi

V=60.2pi inch/sec

Therefore, the angular speed of ryan by the data is 60.2pi inch/sec.

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Answer: A) 2 and a half B) 5 pints

Step-by-step explanation:

in 1 cup there are 16 table spoons.

a) 4tbsp (2 servings) times 10 (to reach 20 servings) =40 tbsp

40/16 =2.5

ANSWER A= 2 and a half cups of lemon juice.

in 1 pint there are 2 cups.

b)

1 cup = 1/2 a pint,

1/2 pint (2 servings) times 10 (to reach 20 servings) = 5 pints

ANSWER B= 5 pints of olive oil

Answer:

Almost equals 28°

Step-by-step explanation:

cos(x)= 12/18

x= cos^-1 (12/18)

So it equals 48.1896°

The graph is missing, so i have attached it.

Answer:

From 0 hours to 2 hours.

Step-by-step explanation:

From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.

Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.

After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.

Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

Based on the information, we can infer that the theoretical probability of these colors would be 33.33%. However, the table reflects different data.

To calculate the theoretical probability of each color we must perform the following mathematical operation.

Bearing in mind that 300 is 100% of the people, we must divide 300 by 3 to know how many people should choose a specific color. In this case, every 100 people should choose a different color.

Additionally, these 100% would represent 33.33% of the total population.

100 * 100 / 300 = 33.33%

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Answer:

No.

Step-by-step explanation:

7=8-(-3)

7=8+3

7≠11

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Answer:

10

Step-by-step explanation:

Bro, again the same question))

a>17-8

a>9