Round 5685 to the nearest 100

[tex] 4^8=65536 [/tex]

4^8 = 65536 answer is correct

To determine how many cars in the lot are red, we need to find one-third of the total number of cars. In this case, we are told that one out of every three cars is red, so the probability of a randomly chosen car being red is 1/3. The calculation is: Number of red cars = 54 * (1/3) = 18 cars.

To determine how many cars in the lot are red, we need to find one-third of the total number of cars. In this case, we are told that one out of every three cars is red, so the probability of a randomly chosen car being red is 1/3.

To calculate how many cars out of 54 are red, we can multiply the total number of cars by the probability of a car being red:

Number of red cars = 54 * (1/3) = 18 cars

Therefore, there are 18 cars that are red in the lot.

The smallest 9-digit number in the form aaa,aaa,aaa that is divisible by 9 is 111,111,111 because the sum of its digits is 9, which follows the divisibility rule for 9.

To find the smallest 9-digit number in the form aaa,aaa,aaa that is divisible by 9, we need to use the divisibility rule for 9. A number is divisible by 9 if the sum of its digits is also divisible by 9. Since we are looking for the smallest such number, we start with the smallest non-zero digit, which is 1.

The smallest 9-digit number where all digits are the same would be 111,111,111. Adding all the digits together, 1+1+1+1+1+1+1+1+1 equals 9, which is divisible by 9. Therefore, 111,111,111 is the smallest 9-digit number of the form aaa,aaa,aaa that is divisible by 9.

The equation for a circle with the given information would be (x - 4)^2 + (y + 1)^2 = 81.

This is because the base form of a circle is:

(x - x1)^2 + (y - y1)^2 = r^2

In which, x1 is the x coordinate of the center and y1 is the y coordinate of the center. r is the radius of the circle. So we plug in to those and simplify.

(x - 4)^2 + (y - -1)^2 = 9^2

(x - 4)^2 + (y + 1)^2 = 81

The antonym for the word thrive would be A. Fail Hope this helps :)

The required antonym for the word thrive is fall. Option A is correct.

The word "thrive" means to prosper, succeed, or flourish. Therefore, the antonym for "thrive" would be a word that represents the opposite, such as "fail." When someone fails, they do not achieve success or prosper in their endeavors. In the given sentence, Jasper is confident that he will thrive in his new school, indicating that he expects to do well and succeed. Choosing the word "fail" as the antonym creates a clear contrast, as it represents the opposite outcome of not being able to thrive or achieve success.

Thus, the requried antonym for the word thrive is fall. Option A is correct.

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The artist will not save any money, but will end up paying $24.06 more after the price increase.

To find out how much the artist will save, we first need to calculate the original cost of the canvas and frame. The price of the canvas is $22.80 and the frame is $89.98. Next, we calculate the price increase of 5% for both the canvas and frame. To do this, we multiply the original prices by 0.05. After that, we add the price increase to the original prices to get the new prices. Finally, we subtract the new prices from the original prices to find the amount saved by the artist.

The calculations are as follows:

The artist will actually end up paying $24.06 more after the price increase, rather than saving any money.

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The cone has a greater volume than the cylinder, and their base areas are equal, but the cone's volume is 1/3 of the cylinder's volume.

A. The cone has the greater volume.

B. The cone and cylinder have the same base area.

C. The volume of the cone is 1/3 the volume of the cylinder.

Answer:

The margin of error for this population proportion using half the range = ±0.09

Step-by-step explanation:

Confidence Interval is basically an interval of range of values where the true proportion can be found with a certain level of confidence.

Margin of Error is the width of the confidence interval about the central proportion.

For this question, the minimum sample proportion from the simulation is 0.10, and the maximum sample proportion from the simulation is 0.28, hence, the confidence interval for the question is (0.10, 0.28).

The width of this confidence interval = (Upper limit of the interval) - (Lower limit of the interval) = 0.28 - 0.10 = 0.18.

Hence, the margin of error for this population proportion using half the range, is 0.18/2 = 0.09.

Written appropriately as ±0.09.

Hope this Helps!!!

Answer:

Factor by grouping Ab+4+a+4b

[tex](b+1)(a+4)[/tex]

Step-by-step explanation:

Factor by grouping:

[tex]ab+4+a+4b[/tex] (1)

We have some common terms, the term a and the number 4: [tex]ab+a+4+4b\\a(b+1)+4(b+1)[/tex]:

Now, we have other common term, (b+1)

[tex]a(b+1)+4(b+1)\\(b+1)(a+4)[/tex]

Answer:

The surface area of the pyramid is [tex]228\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the Pyramid is equal to

[tex]SA=B+LA[/tex]

where

B is the area of the base of the pyramid

LA is the lateral area of the pyramid

In this problem we have

[tex]B=36\ cm^{2}[/tex]

Find the lateral area LA

Remember that the lateral area is the area of its four lateral faces

so

Multiply the area of a lateral face by 4 (because is a regular quadrilateral)

[tex]LA=(4)(48)=192\ cm^{2}[/tex]

Find the surface area SA

substitute the values

[tex]SA=36+192=228\ cm^{2}[/tex]

The surface area of the pyramid is 228 square cm.

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex.

The area of the base of the regular quadrilateral pyramid is 36 cm2 and the area of a lateral face is 48 cm2.

The surface area of the pyramid is;

[tex]\rm Surface \ area=B + LA[/tex]

Where; B is the area of the base of the pyramid, LA is the lateral area of the pyramid.

The area of a lateral face by 4 (because is a regular quadrilateral) is;

[tex]\rm LA=4(48)=192[/tex]

Substitute all the values in the formula;

[tex]\rm Surface \ area=B + LA\\\\\rm Surface \ area=36+192\\\\\rm Surface \ area=228[/tex]

Hence, the surface area of the pyramid is 228 square cm.

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The new position of the submarine in relation to sea level is -1,200 feet.

Your calculation is correct. To find the new position of the submarine in relation to sea level after descending at a rate of 5 feet per minute for 12 minutes, you can use the formula:

New position = Initial position - (Rate of descent * Time)

In this case:

New position = -1,260 feet - (5 feet/minute * 12 minutes)

= -1,260 feet - 60 feet

= -1,200 feet

So, the new position of the submarine in relation to sea level is -1,200 feet.

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Option: C is the correct answer.

The range of the function which is graphed is:

                  C.  All real numbers.

Domain of a function--

The domain of a function are the set of all the possible x values for which the function is defined.

Range of a function--

The range of a function are the set of all the possible values which are attained by a function in it's defined domain.

By looking at the graph of the given function we observe that the function is strictly increasing and it takes all the real values i.e. it takes all the values from (-∞,∞).

Hence, the answer is: Option: C