Hello, I need help with question 6 please! It is a function.

Answer:

A

Step-by-step explanation:

To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:

7x - 3(x-6) = 30

7x - 3x + 18 = 30

4x + 18 = 30

Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:

4x + 18 - 18 = 30 - 18

4x = 12

Finally, we can solve for x by dividing both sides by 4:

4x/4 = 12/4

x = 3

Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.

The volume of a paraboloid is therefore 1/3 of the volume of a cylinder with the same height and base radius.

The volume of a paraboloid can be expressed as:

The formula for a paraboloid's volume is Vparaboloid = (π/3) x (r²) x h, where r is the base's radius and h is the object's height.

A cylinder's volume can be expressed as follows with the same height and base radius:

Vcylinder = π x (r²) x h.

A paraboloid's volume to a cylinder's volume with the same height and base radius is calculated as follows:

Vparaboloid / Vcylinder = (π/3) x (r²) x h / (π x (r²) x h) = (π/3) / π = 1/3.

The volume of a paraboloid is therefore 1/3 of the volume of a cylinder with the same height and base radius.

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Answer:

answer is -8.4 if you add 3.6 and two it's 5.6 times 1.5 it will be -8.4

Answer:

2.4

Step-by-step explanation:

It should be 2.4 based on what I see here.  Distribute -1.5 into -3.6 + 2 to get 5.4 - 3.  You should get 2.4 as your answer in which it is the second option, the picture needs to be in standing position next time because it is upside down though but it can be flipped either way.

Answer:

The answer is B.

Step-by-step explanation:

In order to solve this problem, you need to combine like terms, which in this case, are the x's. So, if you add the numbers with the x's together, you get 3x + 12y. The 12y remains untouched because there are no other terms with the same variable.

Hope this helped,

Philip

Brainliest always appreciated! <3

The expression that gives the area of the rectangular flag is presented as follows:

5x + 7.5.

The area of a rectangle of length l and width w is obtained by the multiplication of these dimensions, as follows:

A = l x w.

The flag in this problem is composed by three rectangles, as follows:

The total area is obtained by the sum of the areas of each part of the flag, hence:

Area = 2x + 2 x 1.5 + 3(x + 1.5)

Area = 2x + 3 + 3x + 4.5

Area = 5x + 7.5.

The area of each part was obtained by the multiplication of the dimensions, which is the standard procedure to obtain the area of a rectangle.

The flag is given by the image at the end of the answer.

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Answer:

334 is the answer

Step-by-step explanation:

you add them together

Answer:

334 is the right answer

Step-by-step explanation:

please mark me brainliest

Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.

The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.

Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.

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(1) p value is 0.234. So the 4th option is correct.

(2) p value grater that any alpha values so we fail to reject the null. So the 4th option is correct.

(3) The outcome is significant if the null hypothesis is rejected. So the third option is the correct choice.

4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.

We consider the following hypothesis-

H0: µ1 = µ2 vs H1: µ1 ≠ µ2

Where µ1 is the population mean of the non FL res

µ2 is the population mean of the FL res

1) p value = 0.234

(Obtained by p value calculator corresponding to the test statistic at 0.05 significance level with degrees of freedom 232+1224-2 = 1454)

Hence the 4th option is correct.

2) We know if p value ≤ α we reject the null.

Here since p value grater that any alpha values so we fail to reject the null.

Hence the 4th option is correct i.e, t none of the usual α.

(3) The outcome is significant if the null hypothesis is rejected. This conclusion is neither statistically nor practically significant because we are unable to reject the null hypothesis. The third option is the correct choice.

(4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.

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The right question is given below:

Answer:

300/1500, 1/5, or 20%

Step-by-step explanation:

There are 1500 students total, but only 300 engineering students. We can represent this as a fraction: 300/1500. When reduced it comes out to 20%.

Step-by-step explanation:

fourth one

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The base of the function given 2(4)ˣ+5 is 4ˣ

The base of an exponential function. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. Base 1. If f(x) is an exponential function whose base equals 1 – that is if f(x)=1x.

Given is a function, 2(4)ˣ+5, we need to find the base of the function,

With the multiplication of 4ˣ with 2, the rate at which f(x) changes is 2 times larger. Now it is added by 5, by adding 5 the value of f(x) is always 5 greater than the value of f(x).

This reverses the value of y for each corresponding value of x and increases the rate at which f(x) changes 8 times that of the original function.

Hence, the base of the function given 2(4)ˣ+5 is 4ˣ

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There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (amount in the account after 25 years)

P = Principal amount (amount deposited every 2 months)

r = Annual interest rate (in decimal form)

n = Number of times the interest is compounded per year

t = Number of years

In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.

Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.

Now, we can substitute these values into the formula:

A = 940(1 + 0.0399/4)^(4*25)

Calculating the exponent first:

(1 + 0.0399/4)^(4*25) ≈ 2.703236

Now, substituting the calculated exponent and the number of deposits into the formula:

A = 940 * 2.703236 * 150 ≈ $594,311.34

Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.

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Answer:

(−∞,∞)

Step-by-step explanation:

Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.

All real numbers

So, the answer is (−∞,∞)

Answer:

B. making an inference.

Step-by-step explanation:

The drama teacher's decision to add another performance time on Saturday is a result of making an inference based on the information that 80% of last year's sold-out plays occurred during weekend performances. By observing this pattern, the drama teacher infers that adding another performance on Saturday will likely attract a larger audience and increase the chances of having a sold-out show.

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

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cheap answer, put them all in slope-intercept form, once we can see their slope, we know what's cooking.

same slope? likely parallel
different slope? likely neither

21)

we can rewrite them as

y = x + 6 and x +2 = y

slope in each is the same, 1, but the y-intercept differs, one is 6 the other 2, so they're parallel and a few units from each other.

22)

we can rewrite that as

\(\cfrac{x-8}{2}=y\implies \cfrac{1}{2}x-4=y\hspace{7em}y=-2x+1\)

so one has a slope of 1/2 and the other -2 hmmm, let's check for the negative reciprocal of 1/2

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1} \implies -2}}\)

ahaa!!, so one slope is the negative reciprocal of the other, they are perpendicular.

23)

\(\cfrac{4x-9}{3}=y\implies \cfrac{4}{3}x-3=y\hspace{7em}\cfrac{3x-36}{4}=y\implies \cfrac{3}{4}x-9=y\)

so one has a slope of 4/3 and the other of 3/4, neither.

24)

two horizontal lines, one above the other, parallel.

Answer:

parallel, perpendicular, neither , parallel

Step-by-step explanation:

• Parallel lines have equal slopes

• Product of slopes of perpendicular lines = - 1

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

21

y = x + 6 ← is in slope- intercept form , with slope m = 1

x - y = 2 ( subtract x from both sides )

- y = - x + 2 ( multiply through by - 1 )

y = x - 2 ← in slope- intercept form with slope = 1

Since the slopes are equal the lines are parallel

-----------------------------------------------------------------------------

22

x - 2y = 8 ( subtract x from both sides )

- 2y = - x + 8 ( divide through by - 2 )

y = \(\frac{1}{2}\) x - 4 ← in slope- intercept form , with slope m = \(\frac{1}{2}\)

y = - 2x + 1 ← in slope- intercept form, with slope m = - 2

then \(\frac{1}{2}\) × - 2 = - 1

since the product is - 1 the lines are perpendicular

-----------------------------------------------------------------------------

23

4x + 3y = 9 ( subtract 4x from both sides )

3y = - 4x + 9 ( divide through by 3 )

y = - \(\frac{4}{3}\) x + 3 ← in slope- intercept form , with slope = - \(\frac{4}{3}\)

3x + 4y = 36 ( subtract 3x from both sides )

4y = - 3x + 36 ( divide through by 4 )

y = - \(\frac{3}{4}\) x + 9 ← in slope- intercept form, with slope m = - \(\frac{3}{4}\)

since slopes are neither equal nor product = - 1

The the lines are neither parallel nor perpendicular

-----------------------------------------------------------------------------

24

the equation of a horizontal line, parallel to the x- axis is

y = c ( c is the value of the y- coordinates the line passes through )

y = 5 and y = - 2 are both in this form , thus are parallel lines

Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Answer:

192 m^2.

Step-by-step explanation:

We can split this up into 3 rectangles:

Area of the bottom rectangle = 27 * (9-3)

= 27 * 6 = 162 m^2.

Area of rectangle on the left = (18-6)*2

= 24 m^2

Area of small rectangle on the right = 3*2

= 6 m^2

Total area = 162+24+6

192 m^2.

Answer:

i cant see the whole problem

Step-by-step explanation:

Answer: 6 feet long

Step-by-step explanation:

1ft. = 12 in

62 inches = 5 feet and 2 inches

Break down 62 into 60 and 2

60 divided by 12 = 5 (12x5=60)

60in. = 5ft.

2in. = 2in.

5ft. and 2in.

10in.= 10in.

Add the inches

10in. + 2 in. = 12 in.

12in.= 1ft.

5ft. + 1ft. = 6ft.

Answer: Nancy’s rope is 6ft. long

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~8 - (-3)~~)^2 + (~~-6 - 0~~)^2} \implies d=\sqrt{(8 +3)^2 + (-6)^2} \\\\\\ d=\sqrt{( 11 )^2 + ( -6 )^2} \implies d=\sqrt{ 121 + 36 } \implies d=\sqrt{ 157 }\)

Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

To find the area of the composite figure, we need to find the area of the sector and the area of the triangle and then add them together.

Area of sector = (θ/360) * π * r^2, where θ is the angle of the sector in degrees, r is the radius of the circle.

The angle of the sector can be found by subtracting the angle of the triangle from 360 degrees. The radius of the circle can be found by dividing the length of the arc by the angle of the sector.

Length of the arc = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 4 = 4.19

Radius of the circle = 4.19/60 = 0.07

Angle of sector = 360 - 60 = 300 degrees

Area of sector = (300/360) * 3.14 * 0.07^2 = 0.0041

The area of the triangle can be found using the formula:

Area of triangle = (1/2) * base * height = (1/2) * 8 * 6 = 24

Therefore, the total area of the composite figure is:

0.0041 + 24 = 24.0041

Rounding to the nearest hundredth, the area of the composite figure is approximately 24.00.

Answer: 3.5 grams

8/8=1, 28/8=3.5

3.5 grams per serving

Step-by-step explanation: Hope this helps shor.ty :)

Answer:

step by step explanation Is given above

Answer:

459 Miles

Step-by-step explanation:

Answer:

1. -5a

Step-by-step explanation:

The definition of combining like terms is adding their coefficients, for example: 2x + 3x = (2+3)x = 5x.

So for this one, -21a+16a = (-21+16)a = -5a.

Step-by-step explanation:

1. w=4 v=-3

2. y=6 x=-2

4. m=6 p=3

5. b=-2 a=4

7. c=8 d=-7

8. g=-3 f=5

10. j=2.5 k=4

11. x=4 y=1.5

13. x=2 y=1

14. y=6 x=5

The correct statement that compares cylinder A and cylinder B is B. The volume of cylinder B is 5 times the volume of cylinder A.

To compare the cylinders A and B, we need to consider their dimensions and properties.

Cylinder A:

Radius (r) = 6 cm

Height (h) = 10 cm

Cylinder B:

Radius (r) = 6 cm

Height (h) = 30 cm

To compare the two cylinders, we can focus on their volumes since the radius is the same for both. The formula for the volume of a cylinder is given by V = πr²h, where V represents volume, r represents radius, and h represents height.

For cylinder A:

Volume of cylinder A = π(6 cm)²(10 cm) = 360π cm³

For cylinder B:

Volume of cylinder B = π(6 cm)²(30 cm) = 1080π cm³

Comparing the volumes, we can conclude that the volume of cylinder B is greater than the volume of cylinder A.

Therefore, the correct statement that compares cylinder A and cylinder B is:

B. The volume of cylinder B is 5 times the volume of cylinder A.

Option A is incorrect since the height of cylinder B is not 5 times the height of cylinder A. Option C is also incorrect as the volume of cylinder B is not 3 times the volume of cylinder A. Option D is incorrect as the heights of cylinders A and B are different.

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