A teacher tells her students she is just over 1 and 1/2 billion seconds old.


a. Write her age in seconds using scientific notation (using for multiplication and for your exponent).


b. What is a more reasonable unit of measurement for this situation?


c. How old is she when you use a more reasonable unit of measurement?

Answer:

Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.

Step-by-step explanation: Furthermore, how many 1/4 unit cubes does it take to fill the prism? Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes. you welcome

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Take into account that the formula for the area of a triangle is:

A = b·h/2

where b is the base, h is the height h = 7.2 cm and A is the area A = 28.8 cm²

Solve for b in the previous formula, and replace the values of A and h, as follow:

b = 2·A/h

b = 2(28.8 cm²)/(7.2 cm)

b = 8 cm

Hence, the length of the base of the triangle is 8 cm

Answer: Its -1

Step-by-step explanation:

Answer:

3 °F/h

Step-by-step explanation:

The rate per hour of temperature change = change in temperature per measurement/change in time per measurement.

Now, the change in temperature per measurement is constant = 3/4 °F and the change in time per measurement is constant = 15 minutes = 15/60 h = 1/4 h.

So, rate per hour of temperature change = change in temperature per measurement/change in time per measurement

= 3/4 °F ÷ 1/4 h

= 3/4 °F × 4/h

= 3 °F/h

So, the rate per hour of temperature change is 3 °F/h

No, the line passing through  (-4, 26) and (-2, 0) is  not parallel to line passing through (10, 18) and (5, 3) because slopes of both lines are different.

Line is possible in 2-d forms so, it has only x and y-co-ordinates. Z-co-ordinates is not possible.

We know very well that to prove any two lines are parallel to each other we need to prove only whether their slopes are equal or not.

Now, talking about the slopes we know that if any line is passing from point(x₁,y₁) and again passing from other point(x₂,y₂) then slope(m) of that line is given by the formula=(y₂-y₁) / (x₂-x₁)

So, for first line we have (x₁, y₁)=(-4,26)

and (x₂, y₂)=(-2,0)

So, slope(m₁) of first line is =(0-26)/(-2 - (-4))

                  =>m₁ = -26/2

                   =>m₁ = -13     ----(eq1)

Similarly, for second line, we have (x₁, y₁)=(10,18)

and (x₂, y₂)=(5,3)

So, slope(m₂) of second line is =(3-18) / (5-10)

                =>m₂ = -15/-5

                 =>m₂=     3   -------(eq2)

On comparing eq1 and eq2,we get

 =>m₁≠m₂.

Hence, the given lines are not parallel.

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(Complete question) is:

Is the line through (-4, 26) and (-2, 0) parallel to the line through (10, 18) and (5, 3)?

Step-by-step explanation:

16x²-1 = (4x-1)(4x+1)

4x²-9 = (2x+3)(2x-3)

16x²-4 = 4(2x+1)(2x-1)

4x²-1 = (2x+1)(2x-1)

16x²+1 = (4x+i)(4x-i)

The measure of angles inside the rhombus are:

∠1 = 56

∠2 = 56

∠3 = 34

∠4 = 34

We have,

In a rhombus,

The opposite angle is congruent.

So,

(56 + 56) = ∠1 + ∠2

And,

∠1 and ∠2 are equal angles.

So,

112 = 2∠1

∠1 = 56

∠2 = 56

Now,

All four angles in side the rhombus = 360

112 + 112 + ∠x + ∠x = 360

2∠x = 360 - 224

2∠x = 136

∠x = 68

This ∠x is the angle inside the rhombus.

And, ∠x/2 = ∠3 = ∠4

So,

∠3 = 68/2 = 34

∠4 = 34

Thus,

The measure of angles inside the rhombus are:

∠1 = 56

∠2 = 56

∠3 = 34

∠4 = 34

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It should be noted that the probability for P(X ≥ 14) rounded to 5 decimal places is approximately 0.17026.

P(X ≥ 14) = P(X = 14) + P(X = 15) + ... + P(X = 22)

Let's calculate P(X ≥ 14):

P(X = 14) = (22 choose 14) * (0.20^14) * (0.80^8)

P(X = 15) = (22 choose 15) * (0.20^15) * (0.80^7)

P(X = 16) = (22 choose 16) * (0.20^16) * (0.80^6)

P(X = 17) = (22 choose 17) * (0.20^17) * (0.80^5)

P(X = 18) = (22 choose 18) * (0.20^18) * (0.80^4)

P(X = 19) = (22 choose 19) * (0.20^19) * (0.80^3)

P(X = 20) = (22 choose 20) * (0.20^20) * (0.80^2)

P(X = 21) = (22 choose 21) * (0.20^21) * (0.80^1)

P(X = 22) = (22 choose 22) * (0.20^22) * (0.80^0)

Calculating each probability and summing them up:

P(X ≥ 14) = P(X = 14) + P(X = 15) + ... + P(X = 22)

= 0.17026

Therefore, P(X ≥ 14) rounded to 5 decimal places is approximately 0.17026.

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1 . y'=0 is the derivative of the function y = 14.

2. y' =  9\(x^8\)+3\(sec^2x\)  is the derivative of the function y= \(x^9\)+3tanx

3. y' = \(\frac{-4}{x^5}\) + 4sinx is the derivative of the function y = \(\frac{1}{x^4}\) - 4cos x

1 . The derivative of a constant is always zero.

A constant function is a function whose value does not depend on the input value.

So y = 4 is a constant function, its derivative is always zero.

So the derivative of y=4 is 0

2. The differentiation of \(x^9\)+3tanx is 9\(x^8\)+3\(sec^2x\)

The power rule states that the derivative of x^n (where n is a constant) is nx^(n-1). So the derivative of x^9 is 9x^8.

The derivative of tanx is \(sec^2x\).

And the derivative of 3tanx is 3\(sec^2x\)

So, \(x^9\)+3tanx  is differentiated as9\(x^8\)+3\(sec^2x\)

3. The derivative of y = \(\frac{1}{x^4}\) - 4cos x can be found using the power rule and the chain rule.

The power rule states that the derivative of x^n (where n is a constant) is nx^(n-1). In this case, \(\frac{1}{x^4}\) can be rewritten as \(\frac{1}{x^4}\) and the derivative would be -4 \(\frac{1}{x^5}\)

The chain rule states that the derivative of (f(g(x)) is f'(g(x))*g'(x). In this case, the inner function is -4cos x, the derivative of cos x is -sin x and the outer function is , \(\frac{1}{x^4}\) the derivative of that is -4 \(\frac{1}{x^5}\). So the derivative of -4cos x is -4(-sin x)

So the final derivative of y = \(\frac{1}{x^4}\)  - 4cos x is \(\frac{-4}{x^5}\) + 4sinx

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Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

They are not Congruent = A

Step-by-step explanation:

Its not congruent because the left one is slightly a little bit bigger than the right. If you look close enough you can see that. Plus if you add the lines together the right one is slightly tilted.

Answer:

1 is A, 2 is B and 3 is D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

edge 2020

The function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

As we know,

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

From the first graph:

The line goes through the points:

(-2, 2) and (2, 1)

y - 1 = (1-2)/(2+2)[x -2]

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

y = -x/4 + 1/2 + 1

y = -x/4 + 3/2

The constant additive rate of change = -1/4

Thus, the function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

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: no, the sample size is too small and we do not know if the sample comes from a population with an approximately normal distribution.

in this scenario, we are given a sample of 12 one-cup servings of asparagus and asked whether it is appropriate to use the methods of hypothesis testing to make inferences about the population mean thiamine level.

to answer this question, we need to consider the sample size and the assumption of normality. in general, when the sample size is small (less than 30) and/or the population distribution is not approximately normal, we may need to use alternative methods for hypothesis testing.

in this case, the sample size is small (n = 12), which may pose a challenge for using the methods of hypothesis testing. additionally, while we are told to assume the population is approximately normal with a known standard deviation, we do not know for certain whether this assumption holds true for the sample. this means that we may need to use alternative methods, such as non-parametric tests, to make inferences about the population mean thiamine level.

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The film thickness of the falling liquid film along the vertical surface is 3x10^-6 meters.

To calculate the film thickness of a falling liquid film along a vertical surface, we can use the equation:

Film thickness = (flow rate / (width * density)) * kinematic viscosity

Given the following values:
Flow rate = 6 kg/second
Width = 2 m
Density = 1x10^3 kg/m^3
Kinematic viscosity = 2x10^-4 m^2/s

Let's substitute these values into the equation:

Film thickness = (6 kg/second) / (2 m * 1x10^3 kg/m^3) * (2x10^-4 m^2/s)

First, we can simplify the units:

Film thickness = (6 / (2 * 1x10^3)) * (2x10^-4)

Now, let's perform the calculations:

Film thickness = (6 / 2000) * (2x10^-4)

Film thickness = 3x10^-6 m

Therefore, the film thickness of the falling liquid film along the vertical surface is 3x10^-6 meters.

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15........hope it helps

If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

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Answer: x= 8   y= 17

Step-by-step explanation: 6*8 = 48+11=59

3*17=51+8=59

Answer:

x = 11.375

y = 23.75

Step-by-step explanation:

Corresponding angles:  A pair of angles that are in the same relative position at each point where a straight line intersects two other straight lines.

If the two lines are parallel, the corresponding angles are equal. 

Therefore:

⇒ (6x + 11)° = (3y + 8)°

⇒ 6x + 11 = 3y + 8

⇒ 6x + 3 = 3y

⇒ 3y = 6x + 3

Angles on a line sum to 180°.  

Therefore:

⇒ (3y + 8)° + (10x - 13)° = 180°

⇒ 3y + 8 + 10x - 13 = 180

⇒ 3y + 10x = 185

⇒ 3y = 185 - 10x

Substitute the first equation into the second equation and solve for x:

⇒ 6x + 3 = 185 - 10x

⇒ 16x = 182

⇒ 16x = 182

⇒ x = 11.375

Substitute the found value of x into one of the equations and solve for y:

⇒ 3y = 6(11.375) + 3

⇒ 3y = 68.25 + 3

⇒ 3y = 71.25

⇒ y = 23.75

Answer:

3 x 0.2 = 0.6

Step-by-step explanation:

Answer:

no picture sorry but if either tanks line goes higher than the other than its filling faster

Step-by-step explanation:

a. The corresponding unit rate of Dog Cakes, Bark Bits, and Woofy Waffles for each package is $1.85 per pound, $2.25 per pound, and $1.90 per pound respectively.

b. The best buy using the unit rates found in Part A is $1.85 per pound.

Part A: We divide the cost by the size to determine the unit pricing for each package.

Dog Cakes: The unit price is $74 divided by 40 pounds or $1.85 per pound.

Bark Bits: $27 divided by 12 pounds equals $2.25 per pound.

Unit pricing for Woofy Waffles is $76 divided by 40 pounds or $1.90 per pound.

Part B: We compare unit pricing to get the best purchase. The greatest deal is the package with the lowest unit price. The greatest deal in this situation is Canine Cakes, which has the lowest unit price at $1.85 per pound.

Even though Canine Cakes and Woofy Waffles have the same size (40 pounds), Canine Cakes has a cheaper unit rate than Woofy Waffles. The product with the highest unit rate is Bark Bits, making it the most costly per pound. Canine Cakes is the greatest purchase based on unit prices.

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The question is -

Jeremiah needed dog food for his new puppy. He compared the prices and sizes of three types of dog food.

Canine Cakes Bark Bits Woofy Waffles

Size (pounds) 40 12 40

Cost $74 $27 $76

Part A: Calculate the corresponding unit rate for each package.

Part B: Determine the best buy using the unit rates found in Part A. Explain your answer.

The correct combination of boxes in the diagram is: Resources, Market Position, and Debt. These three elements are central to the RA theory and are interconnected in their influence on a firm's competitive advantage and performance.

In presenting Resource-Advantage (RA) theory, Hunt and Lambe (2000) use a boxes-and-arrows diagram called "A Schematic of RA Theory of Competition." This diagram illustrates the key elements of the theory and their relationships. The boxes in the diagram represent important components or factors, while the arrows indicate the directional relationships between these components.

Resources refer to the tangible and intangible assets that a firm possesses, including physical, financial, human, and intellectual resources. These resources provide the foundation for a firm's competitive advantage and can include factors such as technology, brand reputation, skilled workforce, and financial capital.

Market Position represents a firm's strategic positioning within its target market. It encompasses factors such as customer perceptions, market share, competitive differentiation, and market reputation. A strong market position enables a firm to leverage its resources effectively and gain a competitive edge.

Debt refers to the financial obligations or liabilities that a firm has, including loans, bonds, and other forms of debt financing. Debt can impact a firm's financial performance and stability, as well as its ability to invest in resources and maintain its market position.

By considering the interplay between resources, market position, and debt, the RA theory emphasizes how firms can leverage their resource advantages to strengthen their market position and achieve better financial performance. This framework highlights the importance of aligning these elements strategically and efficiently managing resources and debt to gain a sustainable competitive advantage in the marketplace.

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Answer:

5/6

Step-by-step explanation:

1/12 + 3/4 = 9/12

9/12 + 1/12 = 10/12

simplify 10/12

= 5/6

Answer:

1/7 = u

Step-by-step explanation:

1 = 7u

Divide each side by 7

1/7 = 7u/7

1/7 = u

Answer:

u= \(\frac{1}{7}\)

Step-by-step explanation:

1=7u

7u=1

Divide both sides by 7

u= \(\frac{1}{7}\)