150 - 1.5x = 200 – 2.5.x
(A) 75
(B) 50
(С) They will never be equal.
(D) 10

Complete question :

Steven and Anna start running from the school. Steven starts 15

seconds before Anna and runs at a rate of 3 feet per second. Anna runs at

a rate of 4 feet per second. Write an equation that represents this

situation.

Which equation could you solve to find when Anna will catch up to Steven.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Steve starts 15s before Anna and runs at a rate of 3ft per second

Anna runs at a rate of 4 feets per second

Let Anna's time = t

Anna's speed = 4ft/s

Then Steve's time = t + 15

Steve's speed = 3ft/s

Distance = speed * time

Anna's distance = Steve's distance

4t = 3(t + 15)

4t = 3t + 45

4t - 3t = 45

t = 45

Anna will catch up. With Steve after 45 seconds

The solution to the equation \(cos(7x) = sin(4x+5)\)° is \(x = 7.73\)°.

To solve for x, we will use the trigonometric identity sin(θ) = cos(90° - θ) to convert the equation into an equivalent form.

\(cos(7x) = sin(4x+5)\) can be rewritten as \(cos(7x) = cos(90 - (4x+5))\)

Using fact that cosine function is periodic with a period of 360°, we will set angles inside the cosine functions equal to each other:

7x = 90° - (4x+5)°

Simplifying:

7x = 90° - 4x - 5°

7x + 4x = 90° - 5°

11x = 85°

x = 85° / 11

x = 7.73°.

Read more about right triangle

brainly.com/question/2217700

#SPJ1

The equation of the tangent line to the curve at the point (-3sqrt3, 1) is y = (1/sqrt3)x + 4.

To find the equation of the tangent line to the curve at the given point, we will differentiate the equation implicitly with respect to x.

Differentiating both sides of the equation x^(2/3) + y^(2/3) = 4 with respect to x, we get:

(2/3)x^(-1/3) + (2/3)y^(-1/3) * (dy/dx) = 0

Now we need to find the value of dy/dx at the point (-3sqrt3, 1).

Substituting x = -3sqrt3 and y = 1 into the equation, we have:

(2/3)(-3sqrt3)^(-1/3) + (2/3)(1)^(-1/3) * (dy/dx) = 0

Simplifying, we get:

(2/3)(-1/sqrt(3)) + (2/3) * (dy/dx) = 0

Simplifying further, we have:

-2/(3sqrt3) + (2/3) * (dy/dx) = 0

Now we can solve for (dy/dx):

(dy/dx) = 2/(2sqrt3) = 1/sqrt3

So the slope of the tangent line at the point (-3sqrt3, 1) is 1/sqrt3.

Now we have the slope of the tangent line and the point (-3sqrt3, 1), we can use the point-slope form to find the equation of the tangent line. The equation is given by:

y - y1 = m(x - x1)

Substituting the values, we have:

y - 1 = (1/sqrt3)(x - (-3sqrt3))

Simplifying, we get:

y - 1 = (1/sqrt3)(x + 3sqrt3)

y - 1 = (1/sqrt3)x + 3

Finally, rearranging the equation, we have:

y = (1/sqrt3)x + 4

So the equation of the tangent line to the curve at the point (-3sqrt3, 1) is y = (1/sqrt3)x + 4.

Visit here to learn more about tangent line brainly.com/question/31617205

#SPJ11

\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

True

7/19 = 0.36

5/19 = 0.26

Finite-state machines for given inputs: (a) 0s multiple of 3: 3-state machine. (b) At least four 1s: 4-state machine. (c) Exactly one 1: 2-state machine. (d) Begins with 000: 3-state machine. (e) Second is 0, fourth is 1: 4-state machine. (f) 01 pairs or 2 1s + 0s: 3-state machine. (g) Ends in 110: 3-state machine.

To construct finite-state machines that act as recognizers for the given inputs, we can follow these guidelines:

(a) For the set of all strings where the number of 0s is a multiple of 3, we can use a finite-state machine with three states. Start with the initial state, and transition to the next state whenever a 0 is encountered. After three transitions, go back to the initial state. If the machine ends in the accepting state, output 1.
(b) For the set of all strings containing at least four 1s, we can use a finite-state machine with four states. Start with the initial state, and transition to the next state whenever a 1 is encountered. If the machine enters the final state after four transitions, output 1.

(c) For the set of all strings containing exactly one 1, we can use a finite-state machine with two states. Start with the initial state and transition to the final state when the first 1 is encountered. Output 1 only if the final state is reached.

(d) For the set of all strings beginning with 000, we can use a finite-state machine with three states. Start with the initial state and transition to the next state whenever a 0 is encountered. If the machine reaches the final state after three transitions, output 1.

(e) For the set of all strings where the second input is 0 and the fourth input is 1, we can use a finite-state machine with four states. Start with the initial state and transition to the next state based on the inputs. Output 1 only if the machine reaches the final state.

(f) For the set of all strings consisting entirely of any number (including none) of 01 pairs or consisting entirely of two 1s followed by any number (including none) of 0s, we can use a finite-state machine with three states. Start with the initial state and transition based on the inputs. Output 1 only if the final state is reached.

(g) For the set of all strings ending in 110, we can use a finite-state machine with three states. Start with the initial state and transition based on the inputs. Output 1 only if the final state is reached.

Learn more about finite-state machines

https://brainly.com/question/32268314

#SPJ11

Finite-state machines (FSMs) can be constructed to act as recognizers for specific patterns in input strings. These are examples of how to construct FSMs as recognizers for different patterns in input strings. Each FSM is designed to produce an output of 1 when the input received matches the description provided.

Let's consider the given cases and construct FSMs for each one.

(a) The set of all strings where the number of Os is a multiple of 3:
To construct an FSM for this, we can keep track of the number of Os encountered so far. Initially, set the count to zero. When an O is encountered, increment the count by one. If the count becomes a multiple of 3, the FSM outputs 1; otherwise, it outputs 0. Reset the count to zero whenever a 1 is encountered.

(b) The set of all strings containing at least four 1s:
To create an FSM for this, we can keep track of the number of 1s encountered so far. Initially, set the count to zero. When a 1 is encountered, increment the count by one. If the count becomes equal to or greater than four, the FSM outputs 1; otherwise, it outputs 0.

(c) The set of all strings containing exactly one 1:
To build an FSM for this, we can have two states: a "no 1 encountered" state and a "1 encountered" state. Initially, start in the "no 1 encountered" state. Whenever a 1 is encountered, transition to the "1 encountered" state. If another 1 is encountered in the "1 encountered" state, transition to a third "more than one 1 encountered" state. In this case, the FSM outputs 0. Otherwise, if no additional 1s are encountered, the FSM outputs 1.

(d) The set of all strings beginning with 000:
To create an FSM for this, start in an initial state. When a 0 is encountered, transition to a second state. If two consecutive 0s are encountered in the second state, transition to a third state. Finally, if a third 0 is encountered in the third state, the FSM outputs 1; otherwise, it outputs 0.

(e) The set of all strings where the second input is 0 and the fourth input is 1:
To construct an FSM for this, start in an initial state. When the first input is read, transition to a second state. In the second state, transition to a third state if the second input is 0. In the third state, transition to a fourth state if the third input is not 0. Finally, in the fourth state, if the fourth input is 1, the FSM outputs 1; otherwise, it outputs 0.

(f) The set of all strings consisting entirely of any number (including none) of 01 pairs or consisting entirely of two Is followed by any number (including none) of Os:
To create an FSM for this, we can have multiple states to represent different scenarios. We start in an initial state and transition to a second state when a 0 is encountered. In the second state, transition back to the initial state if a 1 is encountered. If a 1 is encountered in the initial state, transition to a third state. In the third state, transition to a fourth state if an O is encountered. Finally, if an O is encountered in the fourth state, the FSM outputs 1; otherwise, it outputs 0.

(g) The set of all strings ending in 110:
To construct an FSM for this, start in an initial state. Transition to a second state if a 1 is encountered. In the second state, transition to a third state if a 1 is encountered again. Finally, if a 0 is encountered in the third state, the FSM outputs 1; otherwise, it outputs 0.

Learn more about Finite-state machines

https://brainly.com/question/32998825

#SPJ11

0 items in this array will be found if they are searched.

The correct option is D.

If you perform a binary search on a 5-element array sorted in reverse order, none of the items in the array will be found.

This is because the binary search algorithm relies on the array being sorted in ascending order for its correct functioning.

When the array is sorted in reverse order, the algorithm will not be able to locate any elements.

Thus, 0 items in this array will be found if they are searched for.

Learn more about Sorting here:

https://brainly.com/question/30673483

#SPJ4

Answer:

122.5 i solved it on paper

Step-by-step explanation:

Answer:

3.3 x 10⁻⁴

Step-by-step explanation:

Given expression:

           \(\frac{2.64 x 10^{-3} }{8.0 x 10^{0} }\)

 To solve this problem;

    10°   = 1

So;

             \(\frac{2.64 x 10^{-3} }{8.0}\)

    =  \(\frac{2.64}{8}\)  x 10⁻³

    = 0.33 x 10⁻³

    = 3.3 x 10⁻¹  x 10⁻³

     = 3.3 x 10⁻⁴

Domain: For sales, x > 0 (positive values); for returns, x < 0 (negative values).

Range: F(x) ≥ 0 (non-negative values).

The given function is defined as follows:

For x > 0 (sale): F(x) = |x| * 0.015

For x < 0 (return): F(x) = |x| * 0.005

The domain of the function is the set of all possible input values, which in this case is all real numbers. However, due to the specific conditions mentioned, the domain is restricted to positive values of x for the "sale" scenario (x > 0) and negative values of x for the "return" scenario (x < 0).

Therefore, the domain of the function F(x) is:

For x > 0 (sale): x ∈ (0, +∞)

For x < 0 (return): x ∈ (-∞, 0)

The range of the function is the set of all possible output values. Since the function involves taking the absolute value of x and multiplying it by a constant, the range will always be non-negative. In other words, the range of the function F(x) is:

For x > 0 (sale): F(x) ∈ [0, +∞)

For x < 0 (return): F(x) ∈ [0, +∞)

In conclusion, the domain of the function F(x) is x ∈ (0, +∞) for sales and x ∈ (-∞, 0) for returns, while the range is F(x) ∈ [0, +∞) for both scenarios.

For more questions on Range

https://brainly.com/question/24326172

#SPJ8

Answer:

1 Milk = 1.5 Chocolate syrup

Step-by-step explanation:

3 ÷ 2 = 1.5

12 ÷ 8 = 1.5

3/2 ÷ 1 = 1.5

15 ÷ 10 = 1.5

Answer:

Add up all of the numbers in the set and then divide by how many numbers there are.

Step-by-step explanation:

I'm not sure if that's the most conventional way- but it's how I learned.

Here's your set of numbers:

4'11, 5'0, 5'0, 5'1, 5'2, 5'2, 5'3, 5'4, 5'4, 5'4, 5'4, 5'4, 5'5, 5'5, 5'6

And here's that same set of numbers in inches (which is what I'd use to find it out):

59, 60, 60, 61, 62, 62, 63, 64, 64, 64, 64, 64, 65, 65, 66

Which adds up to a total number of 15 numbers in the set.

Add up 59, 60, 60, 61, 62, 62, 63, 64, 64, 64, 64, 64, 65, 65, 66.

That's 943.

Then we divide 943 by how many numbers there are in the set (15).

The mean of your set is 62.8666667.

Round to the nearest whole number, making it 63.

How many feet is 63 inches?

5'3 is your answer. I hope this helped you and I hope it was correct!

The correct answer is b. The total manufacturing overhead variance would be unfavorable.

When a company applies overhead using direct labor hours, it means that the amount of overhead applied is based on the actual direct labor hours worked. If there is an unfavorable direct labor variance, it implies that the actual direct labor hours worked are greater than the standard or expected hours. This indicates that more direct labor hours were used than anticipated, resulting in higher labor costs.

Since the manufacturing overhead is applied based on direct labor hours, the unfavorable direct labor variance would lead to higher applied overhead costs. This, in turn, would result in a higher total manufacturing overhead variance. The total manufacturing overhead variance measures the difference between the actual overhead costs incurred and the overhead costs that were expected or budgeted.
Therefore, an unfavorable direct labor variance would have a direct impact on the total manufacturing overhead variance, making it unfavorable as well. It suggests that the company incurred higher overhead costs than what was originally planned or budgeted for.

Learn more about overhead variance here:-brainly.com/question/16749203

#SPJ11

Answer:

Can you specifiy?

Step-by-step explanation:

Answer:

16.3p + (-10)

Step-by-step explanation:

Angles are 6 types.

1.Acute Angle: An acute angle is any angle that is less than 90 degrees and is between 0 degrees and 90 degrees.

2.Obtuse Angle: Opposite of an acute angle is an obtuse angle. In other terms, an obtuse angle is one that is larger than 90 degrees and less than 180 degrees. It is the angle that is between 90 degrees and 180 degrees.

3. Right Angle: A right angle is always 90 degrees in length. Acute angles are those that are less than 90 degrees, whereas obtuse angles are those that are higher than 90 degrees.

4. Straight Angle: A straight angle has a measured angle of 180 degrees. Since the angle between its arms is 180 degrees, you can see that it is simply a straight line.

5.Reflex angle: The arms make an acute angle because this measurement is less than 90 degrees. What about the angle on the opposite side, though? What is the name of the larger angle that complements the acute angle? It is referred to as a reflex angle.

A reflex angle is any angle having a dimension higher than 180 degrees but less than 360 degrees (which corresponds to 0 degrees).

6.Complete Rotation: Entire rotation or full angle refers to an angle with a value of 360 degrees. When one of the arms extends completely, it is created.

Angles are 6 types.

To refer more about Angles, visit:

brainly.com/question/25716982

#SPJ4

Answer:

y=3x-6

Step-by-step explanation:

if the y int is (0,-6),

b in the equation y=mx+b is -6

if the slope is 3, m in the equation y=mx+b is 3

so, the equation is y=3x-6

The probability of the states of nature, after use of Bayes' theorem to adjust the prior probabilities based on given indicator information, is called b. posterior probability

Bayes' theorem is a formula used to calculate the conditional probability of an event or hypothesis based on prior knowledge or information. It allows us to update our prior beliefs or probabilities based on new evidence or information.

The probability of the states of nature, after using Bayes' theorem to adjust the prior probabilities based on given indicator information, is called the posterior probability. It represents the revised probability of each state of nature, given the observed indicator or evidence.

To calculate the posterior probability, we multiply the prior probability by the likelihood of the evidence given the state of nature, and then divide by the marginal probability of the evidence. The resulting probability represents the updated probability of the state of nature, given the observed evidence or indicator.

Therefore,

The probability of the states of nature, after use of Bayes' theorem to adjust the prior probabilities based on given indicator information, is called b. posterior probability

Learn more about Bayes' theorem at

https://brainly.com/question/29546122

#SPJ4

Answer:

30 people

Step-by-step explanation:

If you start off with 1/2 a lemon for 6 people, then 1 whole would be 12. 1 1/2 would be 18 people and 2 whole lemons would be 24. so 2 1/2 is 30 people.

In general, higher confidence levels provide wider confidence intervals.

What is the concept of confidence level and confidence interval?

Confidence level:

The confidence level refers to the long term success rate of the method , that is , how often this type of interval will capture the parameter of interest.

Confidence interval:

A specific confidence interval gives a range of plausible values for the parameter of interest.

As the confidence level increases, the width of confidence interval also increases.

A larger confidence level increases the chance that the correct value will be found in the confidence interval. This means the interval is larger.

Learn more about confidence level and interval using link :

https://brainly.com/question/15712887

#SPJ1

The combined present worth of the costs associated with the proposed bridge design is $9,583,333.

This value is obtained by calculating the present worth of both the construction cost and the annual operating cost over an infinite life of the bridge, considering a MARR (Minimum Attractive Rate of Return) of 12%.

To determine the present worth, we use the formula:

PW = A / (1 + i)^n

Where PW is the present worth, A is the annual cost, i is the interest rate, and n is the number of years.

For the construction cost, we have a one-time expense of $9,000,000. Since it is a single payment, the present worth is equal to the construction cost itself.

For the annual operating cost, we need to calculate the present worth over an infinite life. Using the formula above, we divide the annual cost of $700,000 by the MARR of 12% to obtain $5,833,333.33. Thus, the combined present worth is the sum of the construction cost and the present worth of the annual operating cost, resulting in $9,000,000 + $5,833,333.33 = $9,583,333.

Learn more about annual here

brainly.com/question/25842992

#SPJ11

Answer:

Step-by-step explanation:

1st one false 2 one false the third one true

Answer:

$33.75

Step-by-step explanation:

First, find the cost for each door. 3 hinges times $0.75 a hinge, that's $2.25 per door. Then, multiple that by 15, for each door. That comes out to $33.75.

Answer:

C. 5.8

Step-by-step explanation:

We use the Pythagoras theorem here. which is a²+b²=c².

a and b are the replacements for the 5miles and  3miles here.

They are a and b because a  and b are always on the right angle side.

The longest side of this triangle is called a hypotenuse which is the c in this case.

the other sides (a and b) are called the adjacent and the opposite.

it doesn't matter if you use adjacent or opposite for a and b in this case.

the only important thing is the hypotenuse here.

So it's a²+b²=c², which is 5²+3²=c².

5² is 25 and 3² is 9, so we add them and we get 34.

so c²=34, we don't want the square on c  so we send it to 34 which becomes √34.

√34 gives us 5.8 miles which is up to just only one decimal place.

You might need to use calculators for square roots because they take long to calculate.

D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

To know more about Energy click here.

brainly.com/question/1932868

#SPJ11

Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

Answer:

2.88x10^9 is the answer