Please help me solve the following problem:Mary has a box with the shape of a semisphere where she keeps cheese. Inside the box there is a cubic cheese with 10 cm edge. The four top vertices of the cheese are in contact withthe cover of the box (see image).Which is the volume of the box?

Answer:

8.54

Step-by-step explanation:

If thousandth's place is ≥ 5 , then add 1 to the hundredth place.

6.487 = 6.49

2.049 = 2.05

6.487 + 2.049 = 6.49 + 2.05  = 8.54

Answer:

They are intersecting lines.

Step-by-step explanation:

Parallel lines do not intersect and have no common solution. The same line has infinite solutions with itself. Anything else must be intersecting lines.

Answer:

1. C(9,4) : n=9, s=4

2. C(10,5) : r=5

3. C(5,5) : n=5

4. C(7,7) : n=6

5. C(18,17) : r=3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

44+32=76

180-76=104

104+36=140

180-140=40

D)40

Answer:

Option A

Step-by-step explanation:

Given the following question:

\(9+(\frac{1}{2})^4\times48\)

In order to find this, answer we use order of operations and solve.

\(9+(\frac{1}{2})^4\times48\)
\(\frac{1}{2} ^4=\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}\)
\(9+\frac{1}{16} \times48\)
\(\frac{1}{16} \times48=\frac{1}{16}\times\frac{48}{1} =\frac{3}{1} =3\)
\(9+3\)
\(9+3=12\)
\(=12\)

Which means your answer is option A or "12."

Hope this helps.

The most that an engineer should be ready to spend on new bulbs is The cost is P=$100.68.

The term "electronic bulb" is also used to describe incandescent lamps, globes, and bulbs.A gadget that uses electricity to produce light is a light bulb. By passing current through a small wire known as a filament, light bulbs convert electrical energy into visible light. Tungsten, a substance that emits light when electricity is delivered through it, is typically used to make the filament.

The lightbulb is essentially a very thin filament of a difficult-to-melt metal, commonly tungsten, enclosed in a glass bulb filled with inert gases to prevent the filament from oxidising and disintegrating.

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Answer:

Confidence Interval = (1.41, 1.59)

Step-by-step explanation:

To construct a confidence interval for the population mean, we can use the following formula:

Confidence Interval = sample mean ± (margin of error * standard error)

where the standard error is equal to the standard deviation divided by the square root of the sample size.

Given the information provided, we can calculate the standard error as:

standard error = 2.16 / sqrt(1370) = 0.058

Then, we can calculate the margin of error as 0.12.

Substituting these values into the formula, we get:

Confidence Interval = 1.5 ± (0.12 * 0.058)

Confidence Interval = (1.41, 1.59)

Therefore, we can interpret the 95% confidence interval as follows: we are 95% confident that the true population mean of the number of days that people feel lonely in the past 7 days is between 1.41 and 1.59. This means that if we were to take many samples of 1370 subjects and compute the confidence intervals for each sample using the same method, we would expect about 95% of the intervals to contain the true population mean.

Answer:

Sometimes. Say x = 3 and y = 4. 3 + 4 = 7, 3 - 4 = -1. However, the subtraction problem can be greater than the addition if you add some negatives into the mix. Say x = 3 and y = -4. 3 + (-4) is the same as subtracting 4, which give you -1. However, when you subtract negative four, it's the same as adding four, which gives you seven.

Answer:

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

Here is the solution:

Answer:

Step-by-step explanation:

\(x + x = x\)

Cancel x on both sides:-

\(x=0\)

-Hope this helps!

Answer:

1:4

Step-by-step explanation:

30% of (B - A) = 18% of (A + B)

0.3(B - A) = 0.18(A + B) (converting percentages to decimals)

0.3B - 0.3A = 0.18A + 0.18B (distributing on both sides)

0.3B - 0.18B = 0.18A + 0.3A (grouping like terms)

0.12B = 0.48A

Simplifying further gives:

B/A = 0.48/0.12 = 4/1

Therefore, the ratio of A:B is 1:4.

Let's start by simplifying the given equation:

30% of (B-A) = 18% of (A+B)

0.3(B-A) = 0.18(A+B)

0.3B - 0.3A = 0.18A + 0.18B

0.12B = 0.48A

B = 4A

Now we know that B is 4 times A.

To find the ratio A:B, we can express B in terms of A:

B = 4A

A:B = A/4A = 1/4

Therefore, the ratio A:B is 1:4.

Answer:

20:9

Step-by-step explanation:

Here we will simplify the ratio to 40:18 for you and show you how we did it.

To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.

The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:

20:9

Answer:

0.006772

If the last dropping digit is less than 5 then it will be ignored

0.00677

if the last dropping digit is greater than 5 than the the last retained digit increases by 1

0.0068

if  the last dropping digit is greater than 5 than the the last retained digit increases by 1

0.007

if  the last dropping digit is greater than 5 than the the last retained digit increases by 1

0.01

if the last digit is less than 5 so it will be ignored

0.0 is significant figure because zero to the right of decimal point are significant

Step-by-step explanation:

i hope this will help you :)

Answer:

0.007

Step-by-step explanation:

Rounding off 0.006772 to 1 significant figures:

=> 0.007

There is only 1 significant figure in this , since the zeroes on the left are not counted as significant figures.

Answer: 3/4

Step-by-step explanation:

Any number as the denominator of the fraction that is less than 8 (the denominator) will give you a fraction greater than 3/8.

Another different answer could be 3/5 or 3/6.

A fraction that has a value greater than 3/8 using 3 as the numerator is 3/6, 3/4, 3/2 and so on.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

The given fraction is 3/8.

Here, 3/8 = 0.375

We need write the fraction which is greater than 3/8 using 3 as the numerator is 3/6 = 0.5

Therefore, a fraction that has a value greater than 3/8 using 3 as the numerator is 3/6, 3/4, 3/2 and so on.

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9 + 10 does not equal 21.

If you add 9 and 10, you will get 19.

If you are referring to the meme, ok.

The required, left side of the expression 9 + 10 does not equal the right side expression 21.

The correct sum of 9 + 10 is 19. The statement "9 + 10 equals 21" is given by:
Consider the left side of the expression:
= 9 + 10
= 19

Where the right-hand side of the expression is 21, which implies
The left-hand side is not equal to the right-hand side.

However, mathematically, the sum is indeed 19.

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Applying the steps, the result of the line integral is 99.

The curve is:

\(f(x,y,z) = xy i + 9y^2 j\)

The vector field is:

\(r(t) = (x(t), y(t)) = (16t^6, t^4)\)

Applying the vector field at the curve, we have that:

\(f(t) = (16t^{10}, 9t^8)\)

The derivative of the vector field is:

\(r^{\prime}(t) = (96t^5, 4t^3)\)

The dot product of the vector field along the curve with the derivative is:

\(f(t)r^{\prime}(t) = (16t^{10}, 9t^8)(96t^5, 4t^3) = 1536t^{15} + 36t^{11}\)

Hence, the line integral is:

\(I = \int_{0}^{1} (1536t^{15} + 36t^{11}) dt\)

\(I = 96t^{16} + 3t^{12}|_{t = 0}^{t = 1}\)

\(I = 96 + 3\)

\(I = 99\)

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Answer:

Just use long subtraction by expanding the decimal places of the whole number. This is done by adding a point, and enough zeros to it to match the number of decimal digits in the other number (digits after the decimal point).

12345678

i.e: 5 - 2.48374827, 2.48374827 has 8 decimal digits, so add 8 zeros after the point.

=

1 1 1 1 1 1 1

5.00000000

-

2.48374827

_______________

2.51625173

7 + 3 = 10, 7 + 2 + 1 = 10, 8 + 1 + 1= 10, 5 + 4 + 1 = 10, 2 + 7 + 1 = 10, 3 + 6 + 1 = 10, 1 + 8 + 1 = 10, 5 + 4 + 1 = 10, 2 + 2 + 1 = 5 : 5.00000000

This is basically borrowing a group of 10s which are the same as 1s in the next decimal place up.

For each digit except the first to the right, let 10 subtract that number from it and minus 1 since the 1 is carried over.

The highest height for the daily rainfall were for 5 and 6 inches

Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.

From the given dot plot, we see the number of times for each height of rainfall.

Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.

Thus, we conclude those were the highest heights for the daily rainfall.

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From the properties of similarity, the value of x is 24.

Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image. More specifically, by uniformly scaling (enlarging or decreasing), maybe with additional translation, rotation, and reflection, one can be created from the other. This indicates that one object may be properly aligned with the other object by rescaling, moving, and reflecting it. When two things are comparable to one another, one is consistent with the outcome of a specific uniform scaling of the other.

By comparing corresponding sides of the shapes, we get that

6/9 = 14/21 = 2/3

So that,

16/x =2/3

multiply both sides by 3/2 we get,

(16/x)*(3/2) = 1

multiply both sides by x we get,

16*3/2 = x

⇒ x = 48/2

⇒ x = 24

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Answer:

18 just move the decimal because there is one zero

The value of variable x is,

⇒ x = 42

We have to given that;

In a right triangle,

⇒ sin (x + 10)° = cos (4x - 4)°

Now, We can simplify as;

⇒ sin (x + 10)° = cos (4x - 4)°

⇒ cos (90 - (x + 10))° = cos (x - 4)°

⇒ 90 - (x + 10) = x - 4

⇒ 90 - x - 10 = x - 4

⇒ 80 + 4 = 2x

⇒ 2x = 84

⇒ x = 42

Thus, The value of variable x is,

⇒ x = 42

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Answer:

Step-by-step explanation:

Substitute x = 1 and y = 1 to the both inequalities:

\(x-8y\leq9\\\\1-8(1)\leq9\\1-8\leq9\\-7\leq9\qquad\bold{TRUE}\\==================\\-7x+5y<4\\\\-7(1)+5(1)<4\\-7+5<4\\-2<4\qquad\bold{TRUE}\)

Answer:

(1,1) does satisfy

x - 8y ≤ 9

- 7x + 5y < 4

Step-by-step explanation:

Well, first we need to plug in (1,1) into,

x - 8y ≤ 9

- 7x + 5y < 4

→ 1 - 8(1) ≤ 9

- 7(1) + 5(1) < 4

1 - 8 ≤ 9

-7 + 5 < 4

-7 ≤ 9

-2 < 4

Thus,

(1,1) does satisfy

x - 8y ≤ 9

- 7x + 5y < 4.

Hope this helps :)

7. B <1.4,6,7,8} is NOT a subset of {1,3,5,6,7,8,9,12}.

8. C (2,8,9,12,18} is NOT a subset of all the even integers.

9. C

10. True

11. True

12. True

13. C

14. The sets A = {x I x < 8} and B = {x I x < 12} are subsets of each other.

15. C

16. C

17. C

A subset is a group of objects, elements, or values taken from a larger set. Subsets are typically used to define specific characteristics or qualities of the larger set. For example, a subset of numbers might include only the even numbers from 1 to 10.

7. B <1.4,6,7,8} is NOT a subset of {1,3,5,6,7,8,9,12}.

A subset is a collection of elements that are part of a larger set. In this case, the larger set is {1,3,5,6,7,8,9,12}. B <1.4,6,7,8} is not a subset of this larger set because it includes an element, 1.4, that is not found in the larger set.

8. C (2,8,9,12,18} is NOT a subset of all the even integers.

A subset is a collection of elements that are part of a larger set. In this case, the larger set is all the even integers. C (2,8,9,12,18} is not a subset of all the even integers because it includes an element, 9, that is not even.

9. C

The sets {3,4,8} and {1,2,3,4,5,6} are not subsets of each other. The set {3,4,8} is not a subset of {1,2,3,4,5,6} because it includes an element, 8, that is not found in the larger set.

10. True

The set {1,3,5,7} is a subset of all positive integers. A subset is a collection of elements that are part of a larger set. In this case, the larger set is all positive integers. The set {1,3,5,7} is a subset of this larger set because all of its elements, 1, 3, 5, and 7, are found in the larger set.

11. True

The counting numbers is a subset of the whole numbers. A subset is a collection of elements that are part of a larger set. In this case, the larger set is the whole numbers. The counting numbers is a subset of this larger set because all of its elements, 1, 2, 3, 4, and so on, are found in the larger set.

12. True

The set of all whole numbers is a subset of the natural numbers. A subset is a collection of elements that are part of a larger set. In this case, the larger set is the natural numbers. The set of all whole numbers is a subset of this larger set because all of its elements, 0, 1, 2, 3, 4, and so on, are found in the larger set.

13. C

The sets {-2,0,1,3,8} and all whole numbers are not subsets of each other. The set {-2,0,1,3,8} is not a subset of all whole numbers because it includes an element, -2, that is not found in the larger set.

14. The sets A = {x I x < 8} and B = {x I x < 12} are subsets of each other. The set A is a subset of B because all of its elements, x < 8, are found in the larger set. One element of A that is not found in B is 7.

15. C

The sets A = {x I -2 3} and B are not subsets of each other. The set A is not a subset of B because it includes an element, -2, that is not found in the larger set.

16. C

The sets A = (xIx12 and B = (xIx>1} are not subsets of each other. The set A is not a subset of B because it includes an element, 12, that is not found in the larger set.

17. C

The sets A = {x | 3x + 6 < 0} and B = {x I x < 0} are not subsets of each other. The set A is not a subset of B because it includes an element, -2, that is not found in the larger set.

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Answer:

Step-by-step explanation:

All of them are rational.

Irrational numbers go on forever, like 10/3=3.33333333...

Pi is an irrational number because it goes on forever.

Answer:

No

Step-by-step explanation:

\(7^{-1}\) is a fraction

using the rule of exponents

• \(a^{-m}\) = \(\frac{1}{a^{m} }\)

then

\(7^{-1}\) = \(\frac{1}{7^{1} }\) = \(\frac{1}{7}\) ← that is a fraction