³√3000- ³√375 simplify​

Answer:

A. Line A

Step-by-step explanation:

Line A is decreasing so it has a negative slope.

Answer:

hey hows ur day

Step-by-step explanation:

mins good

Answer:

Ok, so slope is basically the steepness of the line, and intercept is when it crosses the x or y axis.

Step-by-step explanation:

To identify the slope, find two points on the line, then use this equation to find the slope: \(\frac{y2 - y1}{x2 - x1}\), where x1 and y1 are the coordinates of the first point on the line, and x2 and y2 are the coordinates of the second point on the line. y2 - y1 is called the rise, and x2 - x1 is called the run. Then, to find the intercept (commonly the y-intercept), you must find the point at which the line crosses the axis. This is the easiest part because you just need to find a point on the axis. When you need to find the y-intercept, look for where the line crosses the x-axis, and when you need to find the x-intercept, look for where the line crosses the y-axis.

Answer:

dvd cost 36 dollars

casette costs 10.5 dollars

Answer:

B. 229

Step-by-step explanation:

I solved it by multiplying the 4.02 and 29.92. Then, added the numbers together and rounding the solution to the nearest whole number.

Answer:

8m=10m

Step-by-step explanation:

Answer: \(\frac{2(-\pi^5) }{5} + 18 + C\) , I hope this is right. Im kind of new to integral calculus

Step-by-step explanation:

You essentially want to split this integral into two parts, because its a piecewise function. The conditions on the right side basically say for when x is less than and when x is greater than 0. So, we should split this integral at 0.

The first function says that -pi is less than 0, so change the upper boundary to 0. This make the definite integral bounded at -pi to 0. But now, we have to take the anti derivative of 2x^4 using the reverse power rule. Add one to the power, then divide by the new power. So the new function is \(\frac{2x^5}{5}\) defined at lower boundary -pi and upper boundary of 0. Use the fundamental theorem of calculus to solve the integral. You get \(\frac{2(-\pi ^5)}{5} - \frac{2(0^5)}{5} = \frac{2(-\pi^5) }{5}\). You want to add the 2nd integral to this, so lets go solve that.

Now for this integral, we have the conditions that pi is greater than 0. So 0 will be in the lower boundary this time and pi will be in the upper. Basically apply the same thing from the first integral. Do anti derivative and use fund. theorem of calculus. the anti-derivative of sinx is -cosx. You can take this 9 out because its a constant that is scaling -cosx. So now 9 is on the outside of the integral and you have the definite integral of -cosx with the boundaries of 0 and pi. Plug in pi to get -1, then multiply that by the negative sign to get postive 1. Now let's plug in the lower boundary, 0. Cosine of 0 is 1, then we are multiplying by the negative sign to get -1. Subtract 1 and -1 to get postive 2. Finally multiply that by the 9 from before to get 18

Final Answer finally:

\(\frac{2(-\pi^5) }{5} + 18\)

OH, do not forget the C. This took me 30 minutes of constant typing so hopefully Im right

Answer:

6

Step-by-step explanation:

30 / 7.5 = 4

24/4 = 6

a)

Answer: 3

b)

Answer: 2

c)

Answer: 0

d)

Answer: -2

Answer:

60.6

Step-by-step explanation:

36.36/0.6

Answer:

The 98% confidence interval for population variance is (4.13, 14.59) and for population standard deviation is (2.03, 3.82).

Step-by-step explanation:

To construct the confidence interval for the population variance, we use the chi-squared distribution. The formula for the confidence interval is:

[ (n - 1) * s^2 / chi2(a/2,n-1), (n - 1) * s^2 / chi2(1 - a/2,n-1) ]

where a is the level of significance, n is the sample size, s^2 is the sample variance, and chi2 is the chi-squared distribution function.

Substituting the given values, we get:

[ (26 - 1) * 7.29 / chi2(0.01, 25), (26 - 1) * 7.29 / chi2(0.99, 25) ]

Using a chi-squared table or a calculator, we can find the critical values for the chi-squared distribution:

chi2(0.01, 25) = 9.143

chi2(0.99, 25) = 43.773

Substituting these values, we get:

[ 174.474, 33.573 ]

Therefore, with 98% confidence, the population variance lies between 174.474 and 33.573.

To construct the confidence interval for the population standard deviation, we take the square root of the endpoints of the interval for the population variance. Therefore, we get:

[ sqrt(174.474), sqrt(33.573) ]

= [ 13.202, 5.793 ]

Therefore, with 98% confidence, the population standard deviation lies between 13.202 and 5.793.

Hope this helps! I'm sorry if it doesn't. If you need more help, ask me! :]

It is not possible to determine whether the range of data set ii is smaller than the range of data set i.

The statement "Data set ii has a smaller range than data set i" cannot be justified based on the boxplots. This is because the range of a data set is the difference between the largest and smallest values in the set, and this information is not represented on a boxplot. To calculate the range of a data set, we use the formula Range = Max - Min, where Max is the largest value in the set and Min is the smallest value in the set. Since the boxplot does not show the actual values in the data set, it is impossible to calculate the range of the data set. Therefore, it is not possible to determine whether the range of data set ii is smaller than the range of data set i.

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Complete question: Which of the following statements about these two data sets cannot be justified based on the boxplots?

By placing the given value in equation , we get u + v - 4u = (-20, 13)

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:

4u = 4(5,-2) = (20,-8)

Now, we can add u and v, and subtract 4u from the result:

u + v - 4u = (5,-2) + (-5,7) - (20,-8)

= (5 - 5 - 20, -2 + 7 + 8)

= (-20, 13)

Therefore, u + v - 4u = (-20, 13).

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1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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Answer:

Hi!

\(x=5\)

Step-by-step explanation:

\(9x-13+13=32+13\\9x=45\\\frac{9x}{9}=\frac{45}{9}\\=5\)

Answer:

the answer is 5

Step-by-step explanation:

9 x 5 -13= 32

The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

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The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

The length of the shorter string is 18 inch while that of the longer string is 30 inch.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let s represent the length of the shorter string.

One piece is 12 inches longer than the other

Length of longer string = s + 12

Since a 48-inch piece of string is cut into two pieces. Hence:

s + (s + 12) = 48

2s + 12 = 48

2s = 36

s = 18

Length of longer string = 18 + 12 = 30

The length of the shorter string is 18 inch while that of the longer string is 30 inch.

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Answer:

1.57ft

Step-by-step explanation:

The circumference is twice the radius times pi.

C=2πr

C=2·π·5

C=10π

C=31.4159265359

We know that KL is 18° of that (180-162).

So we get the formula

31.4159265359÷360x18=1.57

Answer:

Frequency: 244

relative frequency: 0.61

Step-by-step explanation:

check: 60:244 = 0.15:x

x = 0.61

Answer:

x= 0

Step-by-step explanation:

Let's first simplify the equation to make the PEMDAS process easier.

8x-10=3x-10+7x

8x-10=10x-10

Now lets start the subtracting and dividing process.

8x=10x

0=2x

0=x

Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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John's speed on each section of the walk are 4 km per hour, 0 km per hour and 1.5 km per hour

On the first section, we have the following points

(x, y) = (0, 0) and (1.5, 6)

The speed is calculated as

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

This gives

Speed = (6 - 0)/(1.5 - 0)

Evaluate

Speed = 4

On the second section, we have the following points

(x, y) = (1.5, 6) and (2, 6)

The speed is calculated as

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

This gives

Speed = (6 - 6)/(2 - 1.5)

Evaluate

Speed = 0

On the third section, we have the following points

(x, y) = (2, 6) and (6, 0)

The speed is calculated as

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

This gives

Speed = (0 - 6)/(6 - 2)

Evaluate

Speed = -1.5

Hence, John's speed on each section of the walk are 4 km per hour, 0 km per hour and 1.5 km per hour

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Answer:

C. 2

Step-by-step explanation:

\(3 \frac{1}{2} \times \frac{4}{7} \\ = \frac{3 \times 2 + 1}{2} \times \frac{4}{7} \\ = \frac{7}{2} \times \frac{4}{7} \\ = 2\)

hope it helps :)

Answer:

C

Step-by-step explanation:

3 1/2 = 7/2

4/7 = 4/7

7/2 x 4/7 = 28/14 or 2

The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.

Current is the flow of electrons through a conductor when voltage is applied across the conductor.

Given the peak voltage of 18 V, hence:

\(V_{rms}=\frac{Peak\ value}{\sqrt{2} } =\frac{18}{\sqrt{2} } =12.73 V\\\\I_{rms}=\frac{V_{rms}}{resistance } =\frac{12.73}{4 } =3.18 A\\\)

The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.

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Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.

a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:

Obtain the data for the medal winnings of the Top 10 NOCs

Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)

Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option

Add a title and labels to the chart to show the NOCs and their corresponding medal winnings

b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:

Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.

Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.

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As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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Answer:

(100/500) *200 =40%

Step-by-step explanation:

The plot of a function f(x) is symmetric across the y-axis if it is even, meaning f(-x) = f(x) for all x in the function's domain.

The answer is then A because

(-x)² = (-1)² x² = x²

|-x| = |-1| |x| = |x|

cos(-x) = cos(x)

The answer is not

• B because sin(-x) = -sin(x) and (-x)³ = (-1)³ x³ = -x³

• C because -x ≠ x and again because of x³

• D because 1/(-x) = -1/x and again because of sin(x)

Triangle PQR after 270° counter-clockwise rotation has coordinates                      P'(-8,13)

Q'(-2,7)

R'(-7,6)

What is 270° counter-clockwise rotation?

When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y, -x). This means, we switch x and y and make x negative.

Solution:

Given: P (-13,3) , Q (-7, 3), R(-6, -2)

After 270° counter clockwise rotation about point C(-5 , -4)

P'(-3-5, 13), Q'(3-5, 7) , R'(-2-5, 6)

∴ P'(-8, 13), Q'(-2, 7), R'(-7, 6)

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Triangle PQR after 270° counter-clockwise rotation has coordinates             P'(-8,13)

Q'(-2,7)

R'(-7,6)

It is referred to as counter-clockwise rotation when something rotates in the opposite direction from how a clock's hands spin. Alternatively referred to as the anticlockwise direction, counter-clockwise rotation is the preferred term.

Counter clockwise examples include turning a screw, a lock, or a tap the opposite way from how it should be done in order to open them.

Solution:

Given: P (-13,3) , Q (-7, 3), R(-6, -2)

After 270° counter clockwise rotation about point C(-5 , -4)

P'(-3-5, 13), Q'(3-5, 7) , R'(-2-5, 6)

∴ P'(-8, 13), Q'(-2, 7), R'(-7, 6)

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