What is the simplified value of the expression, below, when x = 4 and y = 6? Leave your an
simplified fraction
Show all steps for full credit. Circle your final answer. (4 points).
3x - y/
2y + x please help

Answer:

y = 8/3(x) + 9

Step-by-step explanation:

The general equation of a straight line is slope intercept form is;

y = mx + b

where m is the slope and b is the y-intercept

To get the slope, we use the slope equation

we have this as:

m = (y2-y1)/(x2-x1)

(x1,y1) = (-6,-7)

(x2,y2) = (-3,1)

m = (1+7)/(-3 + 6) = 8/3

so we have the equation as;

y = 8/3(x) + b

to get the value of b, we make use of any of the two points

We substitute the coordinates of the two points into the equation

Let us use the point (-3,1)

Thus;

1 = 8/3(-3) + b

1 = -8 + b

b = 1 + 8

b = 9

So the full equation is;

y = 8/3(x) + 9

a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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Answer:

Well I only know 1 and its 3/5

Step-by-step explanation:

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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9514 1404 393

Answer:

  28

Step-by-step explanation:

Adrian answered 7/8 of 32 questions, so the number he finished is ...

  (7/8) × 32 = (7×32)/8 = 7×(32/8) = 7×4 = 28

Adrian answered 28 questions.

Answer:

yep your correct!

Step-by-step explanation:

i did 5(-2) -4

which is -10 -4

and that will equal -14!

hope this helps u!

Answer:

-14

Step-by-step explanation:

because if x is -2 we have y=5.(-2)-4 and that's y=-10-4 and that's y=-14

The correct answer is: Causal and stable. To analyze the causality and stability of the LTI (Linear Time-Invariant) system with impulse response \(\(h(t) = e^{-(t-1)}u(t-3)\)\).

\(u(t)\) is the unit step function, which is 1 for \(\(t \geq 0\)\) and 0 for \(\(t < 0\)\).

1. Causality: A system is causal if the output at any given time depends only on past and present inputs, not on future inputs. In other words, the impulse response must be zero for \(t < 0\) since the system cannot "see" future inputs.

From the given impulse response, we see that \(h(t) = 0\) for \(t < 1\) (due to \(e^{-(t-1)}\)) and for \(t < 3\) (due to \(u(t-3)\)). This means that the system is causal.

2. Stability: A system is stable if its output remains bounded for all bounded inputs. In simpler terms, if the system does not exhibit unbounded growth when presented with finite inputs.

For stability, we need to check if the impulse response \(h(t)\) is absolutely integrable, which means that the integral of \(|h(t)|\) over the entire time axis should be finite.

Let's compute the integral of \(|h(t)|\) over the entire time axis:

\(\(\int_{-\infty}^{\infty} |h(t)| dt = \int_{-\infty}^{1} |e^{-(t-1)}u(t-3)| dt + \int_{1}^{\infty} |e^{-(t-1)}u(t-3)| dt\)\)

Since \(u(t-3) = 0\) for \(t < 3\), the first integral becomes:

\(\(\int_{-\infty}^{1} |e^{-(t-1)}u(t-3)| dt = \int_{-\infty}^{1} |0| dt = 0\)\)

For \(t \geq 1\), \(u(t-3) = 1\), so the second integral becomes:\(\(\int_{1}^{\infty} |e^{-(t-1)}u(t-3)| dt = \int_{1}^{\infty} |e^{-(t-1)}| dt\)\)

Now, \(e^{-(t-1)}\) is a decaying exponential function for \(t \geq 1\), which means it converges to 0 as \(t\) approaches infinity. Therefore, the integral above is finite.

Since the integral of \(|h(t)|\) over the entire time axis is finite, the system is stable. So, the correct answer is: Causal and stable.

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Answer:

(5, -3)

Step-by-step explanation:

let (x1, y1) = (6, -7) and (x2, y2) = (4,1)

(Xmidpoint, Ymidpoint) = ( (x1+x2) / 2, (y1+y2) / 2)

                                       = (5, -3)

The statement is false because the element 2 does not meet the criteria of being an integer greater than 13.

To determine if {2} is an element of the set of integers greater than 13, we need to analyze the statement.

The set of integers greater than 13 can be represented as {x | x ∈ ℤ, x > 13}. This set contains all integers that are greater than 13.

Now, let's check if the element 2 is in this set. Since 2 is not greater than 13, it does not satisfy the condition x > 13. Therefore, {2} is not an element of the set of integers greater than 13.

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Answer:

475 children

Step-by-step explanation:

A restaurant has many vistors over the weekend.4/9 of the visitors are adults. If there were 380 adults, how many visitors were children? Answer

Step 1

We find the total number of visitors the restaurant had over the weekend. This is calculated as:

Let the total number of visitors = x

4/9 × Total number of visitors = 380 Adults

4/9 × x = 380

4x/9 = 380

Cross Multiply

4x = 9 × 380

x = 9 × 380/4

x = 855 visitors.

Step 2

The number of visitors that were children is calculated as:

Total number of visitors - Number of Adults

= 855 visitors - 380 Adults

= 475 children

(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

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Answer:

Yes, they have enough flour to bake a cake that needs 3 cups of flour.

Step-by-step explanation:

1 4/5 = 9/5

1 2/3 = 7/3

We add both numbers

9/5 + 7/3 = 27/15 + 35/15 = 62/15 = 4.1 cup of floor

4.1 > 3

So,they have enough flour to bake a cake that needs 3 cups of flour,

Answer:

5!=

\( = 5 \times 4 \times 3 \times 2 \times 1 \\ = 20 \times 3 \times 2 \times 1 \\ = 60 \times 2 \times 1 \\ = 120 \times 1 \\ = 120\)

Answer:

Probability [Ticket drawn at random, has a multiple of 4] = 1/4

Step-by-step explanation:

Given:

Total number of tickets = 20

Multiple of 4 = 4 , 8 , 12 , 16 , 20

Total number of Multiple of 4 = 5

Find:

Probability [Ticket drawn at random, has a multiple of 4]

Computation:

Probability of en event = Number of favourable outcome / Total number of outcomes

Probability [Ticket drawn at random, has a multiple of 4] = Total number of Multiple of 4 / Total number of tickets

Probability [Ticket drawn at random, has a multiple of 4] = 5 / 20

Probability [Ticket drawn at random, has a multiple of 4] = 1/4

Answer:

y= -2-4x

Step-by-step explanation:

Rewrite the equation as  −2(4x+y)=4

Divide each term by -2 and simply

4x+y=-2

substract 4x from both sizes

y= -2-4x

Answer:

y = 300x

Step-by-step explanation:

Ya this should be it

Answer: the answer should be -5,-2. I just did that problem

Step-by-step explanation:

Answer:

5 years

Step-by-step explanation:

\(interest = \frac{prt}{100} \)

\(1080 = \frac{3600 \times 6 \times t}{100} \)

\( \frac{1080 \times 100}{3600 \times 6} = t\)

108000/21600 = t

time = 5 years

12 ft

Using 13 for c, and 5 for a, you can use Pythagorean’s theorem a^2+b^2=c^2 to find b, the height

5^2+b^2=13^2

25+b^2=169

b^2=144

b = 12

The volume of the solid is 243/2 cubic units. To find the volume of the solid, we need to integrate the function z = 9 - y - x^2 over the bounded region in the first octant.

The region is bounded by the coordinate planes, so we have the limits of integration as follows:

0 ≤ x ≤ √9-y
0 ≤ y ≤ 9

The solid is bounded, so the integral will give us a finite volume:

V = ∫∫z dA, where the double integral is taken over the bounded region.

V = ∫[0,√9-y]∫[0,9] (9-y-x^2) dx dy

We can simplify the integrand by integrating with respect to x first:

V = ∫[0,9] ∫[0,√9-y] (9-y-x^2) dx dy
V = ∫[0,9] (9y - y^2 - 3(9-y)^2/2) dy
V = ∫[0,9] (-3y^2 + 54y - 243/2) dy
V = [-y^3/3 + 27y^2 - 243/2 y] [0,9]
V = 243/2

Therefore, the volume of the solid is 243/2 cubic units.

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Answer:

Step-by-step explanation: if 5/2:2/5 then 4/5 of a pint= 10/2 and you now only need 1/5 of a pint so you have to divid 5/2 by 2. that will give you 1.25 and 1.25 as a fraction is 5/4. now you need to change the fraction 10/2 so that you can add them. Equation for that is 10/2 times 2/2 that gives you 20/4 and 20/4+ 5/4=25/4 or 6 1/4(six and one fourth) of a cup

The "possible-sources" of in the measurement error of an experiment are Instrument error, Human error, sampling error and environmental factors, these sources "may" or "may-not" be enough to account for the percent differences calculated from the data.

There are several possible sources of "measurement-error" in an experiment which affect the accuracy and precision of the results.

These sources include instrument error, human error, environmental factors, and sampling error.

(i) "Instrument-Error" : is defined as inaccuracies in the measuring instruments used in the experiment. This include issues such as calibration errors, sensitivity of the instruments.

(ii) "Human-Error" can arise from mistakes made by experimenters during data collection or analysis, such as misreading measurements or recording data incorrectly.

(iii) "Environmental-Factors", such as temperature, humidity, or electromagnetic interference, can also cause error into experiment if they affect performance of measuring instruments.

(iv) "Sampling-Error" occur when a subset of the population is used for the experiment, and the results are generalized to the entire population.

Depending on the magnitude of these sources of error, they may or may not be enough to account for the percent differences calculated from the data.

If the measurement errors are small and within an acceptable range for the experiment, they may not significantly impact the results.

If the errors are large or systematic, they can introduce significant bias into the data and affect the percent differences calculated.

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The given question is incomplete, the complete question is

Discuss the possible sources of measurement error in an experiment. Are these sources of error enough to account for the percent differences you calculated from your data? write out your answer in a clear and well supported paragraph.

Answer:

Step-by-step explanation:

Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams?​

so 1 apple has 1/10 gram of fat

10 apples = 1 gram of fat

10 * 4 = 40 apples have a total of 4 grams

The required system of equations is x+y = 21 and 7x +14y = 252.

Systems of equations are sets of equations where the solution is the intersecting point(s) between the equations.There are three methods typically used to solve systems of linear equations: graphing, the substitution method, and the elimination method. These methods can be applied to more complex systems of nonlinear equations as well.

Let the number of small boxes be x.

Let the number of large boxes be y.

The volume of each small box is 7 cubic feet.

The volume of each large box is 14 cubic feet.

The total number of boxes is 21.

Total volume of all boxes is 252 cubic feet.

So, x+y = 21.

This is the first equation.

Also, the total volume is equal to the sum of the volumes of all individual boxes.

So,  7x + 14y = 252

Thus, the required system of equations is x+y = 21 and 7x +14y = 252.

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The required system of equations is x + y = 21 and 7x + 14y = 252 using the concept of equations.

A system of equations in algebra is made up of two or more equations that are solved together to obtain the solution for a two or more variable problem.

Volume of each small box is 7 cubic feet and volume of each large box is 14 cubic feet. Take the number of small boxes to be x and number of large boxes to be y.

Given total number of boxes shipped is 21. Therefore using the concept of equation,

x + y = 21  --- (1)

Total volume of small box is given by:

Total volume of small box = (Volume of a small box) * (Number of small box)

Total volume of small box = 7x

Similarly the total volume of large box is,

Total volume of small box = 14y

Given the total volume of carried box is 252 cubic feet. Using the concept of equations,

7x + 14y = 252  ---(2)

The equations (1) and (2) gives the required system of equations.

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Answer:

8

Step-by-step explanation:

i don't see options to select from but my guess would be 8 because 7/8 is very close to being one and 8 1/10 is close to 8;  8 x 1 = 8

Answer:

D

Step-by-step explanation:

Answer:

A: 150+(45•p)

B: 125+(50•p)

Step-by-step explanation:

You multiply the monthly fee by a letter representing an unknown number because we dont know how many months you are staying with each company and we add the one time fee because you are only paying once, so in conclusion you add the one time fee to the result of  the monthly fee by how many months.

The rectangle has a length of 222 feet and a width of 150 feet.

A quadrilateral with parallel sides equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms since their opposite sides are equal and parallel.

We know that the perimeter of a rectangle is the sum of all four sides. So in this case:

Perimeter = 2(length) + 2(width)

Given that the perimeter is 446 feet, we can set up the equation:

446 = 2(13x-1) + 2(9x+4)

On Simplifying, we get:

446 = 44x + 6

Now we can solve for x by subtracting 6 from both sides:

440 = 44x

Finally, dividing both sides by 44:

x = 10 feet

Now that we know the value of x, we can substitute it back into the expressions for the length and width:

Length = (13x-1) = (13(10)-1) = 129 feet

Width = (9x+4) = (9(10)+4) = 94 feet

Therefore, the rectangle has a length of 129 feet and a width of 94 feet.

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