help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

10\frac{7}{12}

Step-by-step explanation:

First thing you want to do is find the common denominator for \frac{1}{3} and \frac{3}{4}. You do this by multiplying to denominators together, so 3*4=12.

Next, multiple the numerators with the opposite denominator. 1*4=4 and 3*3=9.

Now you are left with \frac{4][12] and \frac{9}{12}.

Add those back to your numbers

16\frac{4}{12} - 5\frac{9}{12} = 10\frac{7}{12}

Using logical reasoning, we know that the members of the club wear red shirts on Monday.

So, we know that:

The member wears a blue shirt the day after wearing a yellow shirt.

Then: Yellow __ Blue

The member was a red shirt before a yellow shirt.

Then: Red, Yellow,  __ Blue

Members wear blue shirts 3 days in a row.

Then: Red, Yellow,  Blue, Blue, Blue

members wear a yellow shirt after wearing blue shirts for 3 days.

Then: Red, Yellow,  Blue, Blue, Blue, Yellow

Now, we have:

Red (Monday), Yellow (Tuesday),  Blue (Wednesday), Blue (Thursday), Blue (Friday), Yellow (Saturday)

Therefore, using logical reasoning, we know that the members of the club wear red shirts on Monday.

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The expected number of pairs of adjacent cards which are both black is  650 / 51

For each pair of cards, the probability that they are both black is 26/52 * 25/ 51 = 25 / 102,

So since there are 52 pairs in the circle, the expected number of pairs which are both black is

25 / 102 * 52 = 650 / 51

Probability is genuinely how probable something is to happen. Every time we're unsure about the final results of an occasion, we can speak approximately the chances of sure results—how probably they're.

The evaluation of occasions governed by chance is referred to as statistics.

A sequence of movements where the outcomes are constantly unsure. The tossing of a coin, deciding on a card from a deck of playing cards, throwing a cube. It's far a single final results of an experiment. Getting a Heads even as tossing a coin is an event.

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Step 1: The proposed probe for flaw detection in type 316L austenitic stainless steel plates is an eddy current probe with a suitable height, diameter, and frequency.

Step 2: Eddy current testing is an effective non-destructive testing method for detecting flaws in conductive materials. In this case, the eddy current probe should have a suitable height, diameter, and frequency to ensure accurate flaw detection.

The height of the probe should be adjusted to maintain a constant lift-off of 0.2 mm, which is the distance between the probe and the surface of the material being tested. This ensures consistent measurement conditions and reduces the influence of lift-off variations on the test results.

The diameter of the probe should be selected based on the size of the flaws and the desired spatial resolution. It should be small enough to accurately detect the flaws but large enough to cover the entire flaw area during scanning.

The frequency of the eddy current probe determines the depth of penetration into the material. Higher frequencies provide shallower penetration but higher resolution, while lower frequencies provide deeper penetration but lower resolution. The frequency should be chosen based on the expected depth of the flaws and the desired level of sensitivity.

Overall, the eddy current probe with suitable height, diameter, and frequency can effectively detect the artificial flaws in type 316L austenitic stainless steel plates fabricated using a powderbed-based laser metal additive manufacturing machine.

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The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.

Each payment will have to be $300

Answer:

just subtract 38 from 72 and but the answer as x   x:38

Step-by-step explanation:

The two numbers are 7/6 and 5 when the sum of two numbers is 3 more than four times the first number.

Let's call the two numbers x and y, where x is the first number and y is the second number.

The problem gives us two equations that relate the two numbers:

\(x + y = 3 + 4x\\y - x = 2y - 10\)

We can substitute the expression for y from equation 1 into equation 2:

\(y - x = 2(3 + 4x) - 10\)

Expanding the right side and simplifying, we get:

\(y - x = 6 + 8x - 10\\y - x = 8x - 4\)

Adding x to both sides:

\(y = 9x - 4\)

Substituting this expression for y into equation 1:

\(x + (9x - 4) = 3 + 4x\)

Expanding and simplifying the right side:

\(10x - 4 = 3 + 4x\)

Subtracting 4x from both sides:

\(6x - 4 = 3\)

Adding 4 to both sides:

\(6x = 7\)

Dividing both sides by 6:

\(x = 7/6\)

Substituting this value of x back into the expression for y:

\(y = 9x - 4 = 9 * (7/6) - 4 = 63/6 - 4 = 9 - 4 = 5\)

So the two numbers are 7/6 and 5.

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When the pile is 12 feet high, the height is rising at a rate of about 0.066 feet per minute.

From the problem, we know that the rate at which sand is falling onto the pile is 16 cubic feet per minute. This means that the volume of sand in the pile is increasing at a rate of 16 cubic feet per minute.

The volume of a cone can be expressed as:

V = (1/3)πr²h

where r is the radius of the base of the cone. Since we know that the base diameter is three times the altitude, we can write:

d = 2r = 6x

Solving for r, we get:

r = 3x

Plugging this into the formula for the volume of a cone, we get:

V = (1/3)π(3x)²h

V = 3πx²h

To find the rate at which the height of the pile is changing, we need to take the derivative of V with respect to time (t), and use the chain rule:

dV/dt = (∂V/∂h) × (dh/dt)

We know that dV/dt is 16 cubic feet per minute. To find (∂V/∂h), we take the derivative of the volume formula with respect to h:

(∂V/∂h) = 3πx²

To find (dh/dt), we need to use the fact that the diameter of the base is three times the altitude:

d = 6x

Taking the derivative of both sides with respect to time, we get:

0 = 6(dx/dt)

Solving for (dx/dt), we get:

(dx/dt) = 0

This makes sense, since the diameter of the base of the cone is not changing as the sand falls onto the pile.

Now we can plug in the values we have:

16 = (3πx²) × (dh/dt)

We want to find (dh/dt) when h = 12. To do this, we need to find x at that height. We can use similar triangles to find x:

x/h = 1/3

x = (1/3)h

x = 4

Plugging in x = 4 and h = 12, we get:

16 = (3π(4)²) × (dh/dt)

Solving for (dh/dt), we get:

(dh/dt) = 16 / (3π(4)²)

(dh/dt) ≈ 0.066 ft/min

Therefore, the height of the pile is increasing at a rate of approximately 0.066 feet per minute when the pile is 12 feet high.

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Answer:

A

Step-by-step explanation:

To test the news report's statement about the average lifespan of the tire manufacturer's tires, we can perform a hypothesis test using the sample data.

Null Hypothesis (H0): The average lifespan of the tires is 4 years.

Alternative Hypothesis (Ha): The average lifespan of the tires is not 4 years.

We can use a t-test to compare the sample mean (6 years) with the hypothesized population mean (4 years) given the sample size (50) and standard deviation (1 year).

Using the t-test, we can calculate the test statistic (t-value) as follows:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

= (6 - 4) / (1 / sqrt(50))

= 2 / (1 / 7.071)

= 14.142

We then compare the t-value with the critical t-value at a chosen significance level (e.g., α = 0.05) and degrees of freedom (sample size - 1 = 50 - 1 = 49) to determine whether to reject the null hypothesis.

If the t-value falls outside the critical region, we reject the null hypothesis and conclude that there is evidence to suggest that the average lifespan of the tires is different from 4 years.

To compare the average lifespan of squirrels on the Texas A&M campus and in Brazos county, we can perform a hypothesis test using the given information.

Null Hypothesis (H0): The average lifespan of a squirrel on campus is the same as the average lifespan in Brazos county.

Alternative Hypothesis (Ha): The average lifespan of a squirrel on campus is longer than the average lifespan in Brazos county.

We can use a z-test to compare the sample mean on campus (7 years) with the average lifespan in Brazos county (6 years) given the variance on campus (4 years), the number of squirrels on campus (40), and assuming the distribution is approximately normal.

Using the z-test, we can calculate the test statistic (z-value) as follows:

z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))

= (7 - 6) / (sqrt(4) / sqrt(40))

= 1 / (0.632 / 2.828)

= 1 / 0.224

= 4.464

We then compare the z-value with the critical z-value at a chosen significance level (e.g., α = 0.05) to determine whether to reject the null hypothesis.

If the z-value is greater than the critical z-value, we reject the null hypothesis and conclude that there is evidence to suggest that a squirrel on campus has a statistically longer lifespan than in Brazos county.

Note: It is important to consider other factors and potential biases in the data when making conclusions.

To compare the two firms in terms of the prices of homes sold, we can perform a hypothesis test using the given information.

Null Hypothesis (H0): The average prices of homes sold by both firms are the same.

Alternative Hypothesis (Ha): The average prices of homes sold by the two firms are different.

We can use a t-test to compare the sample means of the two firms given the sample sizes, sample means, and variances.

Using the t-test, we calculate the test statistic (t-value) as follows:

t = (mean of firm 1 - mean of firm 2) / sqrt((variance of firm 1 / sample size of firm 1) + (variance of firm 2 / sample size of firm 2))

Substituting the given values, we can calculate the t-value.

Next, we compare the t-value with the critical t-value at a chosen significance level to determine whether to reject the null hypothesis.

If the t-value falls outside the critical region, we reject the null hypothesis and conclude that there is evidence to suggest that the prices of homes sold by the two firms are statistically different.

Based on the results of the hypothesis test and other factors such as reputation, work environment, and potential growth opportunities, the realtor can make an informed decision about which firm to join.

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The present value of the cash flows is approximately $11,754.04.

To calculate the present value of the cash flows, we need to discount each cash flow to its present value using the appropriate discount rate. The present value (PV) can be calculated using the formula:

PV = CF1 / (1 + r)^1 + CF2 / (1 + r)^2 + CF3 / (1 + r)^3 + ... + CFn / (1 + r)^n

where CF is the cash flow and r is the discount rate.

Using the given discount rate of 9.89 percent per year, we can calculate the present value as follows:

PV = 2,200 / (1 + 0.0989)^1 + 2,600 / (1 + 0.0989)^2 + 4,800 / (1 + 0.0989)^3 + 5,400 / (1 + 0.0989)^4

Calculating each term and summing them up:

PV = 2,200 / 1.0989 + 2,600 / 1.0989^2 + 4,800 / 1.0989^3 + 5,400 / 1.0989^4

PV ≈ 1,999.64 + 2,271.89 + 3,622.82 + 3,860.69

PV ≈ 11,754.04

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Answer: $117

Step-by-step explanation: 1st subtract 3 then divide by 2 then subtract 3 again and divide by 2 again

The length of a pendulum with a period of 2 seconds is approximately 51.

the formula for the period of a simple pendulum as a function of its length is given as:

t(l) = 2π √(l/32.2)

we can rearrange this equation to solve for l:

t(l) = 2π √(l/32.2)

t(l)/(2π) = √(l/32.2)

[t(l)/(2π)]² = l/32.2

l = 32.2 * [t(l)/(2π)]²

to determine the length of a pendulum with a period of 2 seconds, we can substitute t = 2 seconds into the equation above:

l = 32.2 * [2/(2π)]²

l = 32.2 * [1.2732]²

l ≈ 51.92 feet 92 feet when π is taken to be 3.14 and rounding to the nearest hundredth.

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Answer:

Yes! It is TRUE

Hope my answer helps you ✌️

To determine whether there is sufficient evidence to support the mayor's claim that over 47% of the residents favor construction of a new community, we need to perform a hypothesis test.

Let's define the null hypothesis (H0) and the alternative hypothesis (H1) as follows:

H0: The proportion of residents favoring construction of a new community is 47% or less.

H1: The proportion of residents favoring construction of a new community is greater than 47%.

We will conduct a one-tailed test since we are interested in determining if the proportion is greater than 47%.

Next, we need to gather a sample of residents and determine the proportion in favor of construction. Let's assume we collect a random sample of residents and find that 53 out of 100 residents favor the construction.

To perform the hypothesis test, we will use a significance level (α) of 0.10. Using this information, we can calculate the test statistic and compare it to the critical value or p-value to make a decision.

The test statistic for testing a proportion is given by:

z = (p - P) / sqrt((P * (1 - P)) / n)

where p is the sample proportion, P is the hypothesized proportion under the null hypothesis, and n is the sample size.

Let's calculate the test statistic:

p = 53 / 100 = 0.53 (proportion from the sample)

P = 0.47 (hypothesized proportion under the null hypothesis)

n = 100 (sample size)

z = (0.53 - 0.47) / sqrt((0.47 * (1 - 0.47)) / 100)

 = 0.06 / sqrt(0.2494 / 100)

 = 0.06 / 0.04994

 = 1.2012

To determine whether there is sufficient evidence to support the mayor's claim, we compare the test statistic (z = 1.2012) to the critical value from the standard normal distribution at the 0.10 significance level. The critical value for a one-tailed test at a significance level of 0.10 is approximately 1.28.

Since the test statistic (1.2012) is less than the critical value (1.28), we fail to reject the null hypothesis. This means that there is not sufficient evidence at the 0.10 level to support the mayor's claim that over 47% of the residents favor construction of a new community.

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False. A univariate data set is a set of data that only has one variable or category.

In this case, the running times for 500 runners would have multiple variables - the time each runner takes to complete the race. Therefore, it would be a multivariate data set.

Additionally, the term "group starts" suggests that the runners may have been grouped by certain categories or factors, further adding to the complexity of the data set.

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The slower speed is 20 miles per hour and the higher speed is 40 miles per hour.

time is calculated using the formula

\(Time=\frac{Distance}{Speed}\)

In the given question

driver drove 50 miles at slower speed.

Let the slower speed be x miles per hour.

So the time taken to cover 50 miles at slower speed = \(\frac{50}{x}\)    ...(i)

driver drove 300 miles at faster speed.

given speed is 20 miles per hour faster i.e. speed = (x+20) miles per hour So the time taken to cover 300 miles at (x+20) mph speed = \(\frac{300}{(x+20)}\)....(ii)

According to the question

the time spent driving at the faster speed was thrice that spent driving at the slower​ speed.

From equation (i) and (ii) we get

\(3*(\frac{50}{x} )=\frac{300}{x+20}\)

\(\frac{150}{x} =\frac{300}{x+20}\)

Cross Multiplying we get

\(150(x+20)=300x\\ \\ 150x+3000=300x\\ \\ 300x-150x=3000\\ \\ 150x=3000\\ \\ x=20\)

Slower speed = x = 20mph.

Faster speed = (x+20) = 20+20 = 40mph.

Therefore , The slower speed is 20 miles per hour and the higher speed is 40 miles per hour.

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The smallest possible value is 44%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. 

Given that,

If only three persons are running for the office and the third-place candidate received 28 votes and the second-place candidate received 98 votes, the winner could have received only 99 votes.

In this case, the total number of votes cast would be 28 + 98 + 99  =  225 votes.

The percentage for the winning candidate would be:  99 / 225  =  44%

Therefore, the smallest possible value of x is 44%.

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Answer:

Solution:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Answer:

Step-by-step explanation:

the graph is down below

Answer:

The area of this circle is \(176.74cm^2\)

Step-by-step explanation:

The formula for the area of a circle is : \(\pi *radius^2\)

The radius is the length from one side of the circle to the centre.

To work this out you would simply multiply pi by the radius of 7.5. squared. This gives you 176.74.

1) Multiply pi by 7.5 squared.

\(\pi *7.5^2=176.74cm^2\)

In this question pi is to be 3.142

Answer:

nsjsns zjzkanakkanab

Step-by-step explanation:

nsjzns sjzkkMA jahshs

Answer:

See below!

Step-by-step explanation:

1) 720cm - m

2) 983 mm - m

3) 130.5kL - L

4) 0.03 g - mg

5) 997 g - kg

6) 9.1 l - ml

7)3.75 c - ml

8) 41.8 in - cm

9) 156.25 lb - kg

10) 9.5 gal - l

11) 680.4 g - lb

12) 4.725 m - ft

Hope this helps, have a lovely day! :)

Answer:

From the pythagorean theorem:

AB²+BC²=AC²

x+35²=37²

x+1225=1369

x=1369-1225

x²=144 cm

x=radical 144=12

Answer:

\(\huge\boxed{b = 12 cm}\)

Step-by-step explanation:

Using Pythagorean Theorem:

\(c^2 = a^2 + b^2\)

Where c is hypotenuse(37 cm), and one of the side is 35 cm.

=> \(37^2 = 35^2 + b^2\)

=> \(b^2 = 37^2-35^2\\\)

=> \(b^2 = 1369 - 1225\\\)

=> \(b^2 = 144\)

Taking sqrt on both sides

=> b = 12 cm

The perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.

We are given the vertices:

A(-4,4), B(2,-2), and C(-4,-2).

We need to find the perimeter of ABC.

AB = √ ( 2 + 4)² + (-2 - 4)²

AB = √ 6² + 6²

AB = √72

AB = 6 √2 units

BC = √ (-4 - 2)² + ( -2 + 2)²

BC = √ 6²

BC = 6 units

AC = √ ( -4 + 4)² + (-2 - 4)²

AC = √ 6²

AC = 6 units.

Perimeter = AB + BC + AC

Perimeter = 6 √2 + 6 + 6 units

Perimeter = 12 + 6 √2 units.

Perimeter = 12 + 6(1.414) units

Perimeter = 12 + 8.848 units

Perimeter = 20.848 units

Therefore, the perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.

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Remainder theorem can be used to check if a given number is root or not. The factors of the polynomial function given are: (x-2), (x+4), (x-6).

When a polynomial f(x) is divided by (x-a), the remainder is f(a)

The given polynomial function is

\(f(x) = x^3 -4x^2 - 20x + 48\)

One root is x = 6, thus, (x-6) is one of the factor (since, by remainder theorem the remainder of f(x)/(x-6) is f(6) which is 0 since x = 6 is a root. And for those divisions, who leave no remainder, are division by factors.)

Getting other two factors:

\(f(x) = x^3 -4x^2 - 20x + 48\\\\f(x) = x^3 -6x^2 + 2x^2 - 12x - 8x + 48\\\\f(x) = x^2(x-6) + 2x(x-6) - 8(x-6)\\\\f(x) = (x-6)(x^2 + 2x -8) = (x-6)(x^2 + 4x - 2x -8) = (x-6)(x(x+4)-2(x+4))\\\\f(x) = (x-6)(x+4)(x-2) = (x-2)(x+4)(x-6)\)

Thus, the factors of the polynomial function given are: (x-2), (x+4), (x-6).

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Answer:

C: x-2  x+4  x-6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

left and right units changes affect x-axis

up and down unit changes affect y-axis

there fore

for A (2,3) = (2-1,3-4) =(1,-1)

for B (-1,-4) = (-1-1,-4-4)= (-2,-8)

for C (2,-2) = (2-1,-2-4) = (1,-6)  

Matrix has been used to find the transfromation of the pre-image and the coordinates are; A' = (1, -1); B' = (-2, -8); C' = (1, -6)  

In transalations on graphs, we must know that horizontal value changes affect x-axis while changes in vertical values affects the y-axis.

Thus, for the given coordinates A(2, 3), B(–1, –4), and C(2, –2), we have translation 1 unit left and 4 units down as;

A' = (2 - 1, 3 - 4) = (1, -1)

B' = (-1 - 1,-4 - 4)= (-2, -8)

C' = (2 -1,-2 - 4) = (1, -6)  

The newly transformed image of the pre-image has been attached while the pre-image is already given in the question.

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the slope of the line on the graph is 3 .

Slope is calculated by dividing the "vertical change" by the "horizontal change" between any two distinct points on a line. The ratio can alternatively be expressed as a quotient, which yields the same result for any two separate locations on the same line ("rise over run"). A negative "rise" indicates a falling line. A road surveyor may judge that the line is useful, or it may show up in a diagram of a road or a roof as a description or a design. The steepness, incline, or grade of a line can be measured using the slope's absolute value. A slope with a larger absolute value denotes a steeper line.

to find the slope of the graph we will take two points which lies on the same line i.e. they must be collinear .

the points i m choosing is (-2,0) and (-1,3)

now for finding the slope we will use the formula

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

m = (3 - 0 ) / (-1+2)

m = 3 / 1

m = 3

so the slope of the line on the graph is 3 .

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Answer:

1.a

2. d

3 a

4 a

5 c

6 d

7 b

8 b

9 b

10 d

11 c

12 d

not too confidnet on the later fractions but most of  them should be fine :D

Step-by-step explanation:

The student should stand at 2L/9 you will see it tip over so as to weigh of 60kg.

Due to the fact that mass is the quantity of matter contained in an item and does not change with gravity, mass is always the same. As long as the amount of matter in an object doesn't change, its mass will remain constant. In contrast, an object's weight refers to the force of gravity acting on it.

No matter where you are in the cosmos, you have the same mass since mass is a measurement of how much matter is in an object. But because weight measures the force between an object and the body it is resting on, it fluctuates (whether that body is the Earth, the Moon, Mars, et cetera).

Given : A mass of student 40 kg

length is represented by l

Position of the pivot point from the board = l/3

The student should stand at 2L/9 you will see it tip over so as to weigh of 60kg.

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Answer:

12.0625

Step-by-step explanation:

Im not sure but im pretty sure it's correct

12.06 or 193/16 in fraction form I believe. Sorry if it’s wrong.