Scientists say we should sleep 3/8 of a day.How about many hours is this

Answer:

45 students.

Step-by-step explanation:

Answer:

63 students

Step-by-step explanation:

There are several ways to solve this puzzle and get as close to zero as possible while still meeting the constraints.

One possible way is:

6 / 2 = 3 + 5 - 9 x 1

This equation can be simplified as follows:

6 / 2 = 3 + 5 - 9 x 1

3 = 3 + 5 - 9

3 = -1

However, this solution violates the constraint of making a true statement. Therefore, we need to adjust the equation to make it true while still getting as close to zero as possible. One way to do this is:

6 / (2 + 1) = 3 + 4 - 5 x 9

This equation can be simplified as follows:

6 / (2 + 1) = 3 + 4 - 5 x 9

2 = -38

This solution meets the constraint of making a true statement and gets as close to zero as possible.

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Answer:

Step-by-step explanation:

Comment

The surface area for a sphere is 4 pi * r^2

Givens

Surface Area X = 1808.64

Surface Area T = 452.16

Solution

Sphere X

Surface Area = 4 pi r^2

Surface Area X = 4 * 3.14

1808.64 = 12.56 * r^2                          Divide both sides by 12.56

1808.64/12.56 = 12.56 r^2/12.56

r^2 = 144                                              Take the square root of both sides

√^2  = √144

r = 12

Sphere T

Surface Area = 4 pi r^2

452.16  = 12.56 r^2                              Divide by 12.56

452.16 / 12.56 = 12.56 r^2/12.56

r^2 = 36                                                Take √ of both sides

√r^2 = √36

r = 6

Conclusion

radius x: radius T :: 12/6

radius x: radius T :: 2/1    

Answer:

28 hours for 15 toy bears

Step-by-step explanation:

hope this helps

Answer:

4k+2 (when k=6)

5k+6 (when k=4)

Step-by-step explanation:

Answer:

14

12

Step-by-step explanation:

Just run through possible even numbers up till 26.

14 + 12 = 26 and they are two consecutive even numbers

To solve the quadratic equation \(2x^{2} +29x-6.1=0\) using the quadratic formula, we can use the equation. The solutions for the quadratic equation \(2x^{2} +29x-6.1=0\)using the quadratic formula are:

x = (-b ± \(\sqrt{b^{2}-4ac }\)) / (2a)

Given the coefficients:

a = 2

b = 29

c = -6.1

x = (-29 ± \(\sqrt{841+48.8}\)) / 4

x = (-29 ± \(\sqrt{889.8}\)) / 4

Calculating the square root:

x = (-29 ± 29.828) / 4

Now, let's calculate the two possible values for x:

x1 = (-29 + 29.828) / 4 ≈ 0.207 (rounded to three significant figures)

x2 = (-29 - 29.828) / 4 ≈ -14.957 (rounded to three significant figures)

Therefore, the solutions for the quadratic equation \(2x^{2} +29x-6.1=0\)using the quadratic formula are:

x ≈ 0.207 and x ≈ -14.957 (both rounded to three significant figures).

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420,000 ml of liquid soap was bought.

To find the total amount of liquid soap bought in milliliters (ml), we need to multiply the number of bottles by the volume of each bottle.

Number of bottles: 600

Volume of each bottle: 700 ml

Total amount of liquid soap bought = Number of bottles * Volume of each bottle

= 600 * 700 ml

= 420,000 ml

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Right triangles are said to be congruent if both the hypotenuse and one leg are the same length. These triangles are congruent by HL, or hypotenuse-leg.

When a triangle has precisely the same three sides and precisely the same three angles, it is said to be congruent. If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.

When the hypotenuse and one of the right triangle's sides equals the hypotenuse and the corresponding side of the other right-angled triangle, two right-angled triangles are said to be congruent to one another.

There are four theorems that demonstrate congruence with respect to right triangles. They are the hypotenuse-angle, leg-angle, hypotenuse-leg, and hypotenuse-angle-angle theorems.

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Complete question

Explain congruence in right angles.

Answer:

n = 4

Step-by-step explanation:

1/2(n + 2) + 4 = 3n - 5

1/2n + 5 = 3n - 5

- 5 | - 5

1/2n = 3n - 10

- 3n | - 3n

-5/2n = -10

* 2 | * 2

-5n = -20

/5 | /5

n = 4

---

Hope this helps!

We can express √832 as 4(2√13).

A definite integral of a function can be represented as the signed area of the region bounded by its graph.

Given is the root of 832 or √832.

Assume that {4n} is equal to {y}. So, we can write -

y = 4n

Squaring both sides, we get -

y² = (4n)² = (√832)²

y² = 16n² = 832

16n² = 832

n² = (832/16)

n² = 52

n = √52

n = 2√13

So, we can write (√832) as 4(2√13).

Therefore, we can express √832 as 4(2√13).

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Answer:

Step-by-step explanation:

1) Make it so that it's easy to solve

3 = -y +2x

18 = y + x (the y cancels out)

21 = 3x (divide both sides by 3 to isolate x)

x = 7 (then you can plug in x and then solve for y)

2) Again, make the problem easy to read  

12 = -x + y

27 = 4x + 2y (get rid of either x or y. I am going to get rid of x by multiplying the top equation by four)

48 = -4x + 4y

27 = 4x + 2y  (x is canceled out)

75 = 6y (divide both sides by 6 to isolate y)

12.5 = y (then plug in y to find x)

3) 15 = (7 + p) + p -----------------> p represents pants and (7 + p represents shirts because she bought 7 plus pants of shirts)

15 = 7 + 2p

8 = 2p (isolate p by dividing by 2)

p = 4

- Elaine bought 4 pants and 11 shirts.

In the comments, let me know if you need a further explanation.

Answer:

22 and 4 = 44   9, 8, 7= 504    27, 12, 36= 108   25, 8= 200   14, 12= 84   32, 24, 18= 288

Step-by-step explanation:

The expected time for completion of Activity "X" on a PERT chart is 9 hours.

PERT analysis is a project management technique that is used to evaluate and analyze the tasks involved in finishing a project. It makes use of 3 duration estimates: optimistic, pessimistic, and most likely times to calculate the expected duration of each activity. These estimates are used to analyze the critical path, slack time, and schedule of the project.

Let's calculate the expected time for completion of Activity "X" on a PERT chart using the given estimates:

Optimistic time (O) = 6 hours

Most likely time (M) = 9 hours

Pessimistic time (P) = 12 hours

Expected time (TE) = [O + 4M + P] ÷ 6= [6 + 4(9) + 12] ÷ 6= [6 + 36 + 12] ÷ 6= 54 ÷ 6= 9

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The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

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Answer:

you should extend the new wheel out by .75 cm

Step-by-step explanation:

2.75 + .75 = 3.5

Answer:x=9

Step-by-step explanation:

Answer: x = 9

Step-by-step explanation:

9x + 5 = 86

9x + 5 - 5 = 86 - 5 (you subtract 5 from both sides to isolate the 9x)

9x = 81

9x/9 = 81/9 (to get the value of x, you divide both sides by 9)

x = 9

Answer:

Slope (m) = 2
y = 2x

Step-by-step explanation:

Change in y / Change in x
-1 becomes 1 (positive)

1 + 1 = 2
1 - 5 = 4
4/2 = 2

y = 2x

Answer:

a) The table of values represents the ordered pairs formed by the elements of the sequence (\(a_{i}\)) (range) and their respective indexes (\(i\)) (domain):

\(i\)         \(a_{i}\)

1         6

2        11

3        16

4        21

5        26

b) The algebraic expression for the general term of the sequence is \(a(i) = 6 + 5\cdot (i - 1)\).

c) The 25th term in the sequence is 126.

Step-by-step explanation:

a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...

The table of values represents the ordered pairs formed by the elements of the sequence (\(a_{i}\)) (range) and their respective indexes (\(i\)) (domain):

\(i\)         \(a_{i}\)

1         6

2        11

3        16

4        21

5        26

b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:

\(a(i) = a_{1} + r\cdot (i - 1)\) (1)

Where:

\(a_{1}\) - First element of the sequence.

\(r\) - Arithmetic difference.

\(i\) - Index.

If we know that \(a_{1} = 6\) and \(r = 5\), then the algebraic expression for the general term of the sequence is:

\(a(i) = 6 + 5\cdot (i - 1)\)

c) If we know that \(a(i) = 6 + 5\cdot (i - 1)\) and \(i = 25\), then the 25th term in the sequence is:

\(a(25) = 6 + 5\cdot (25 - 1)\)

\(a(25) = 126\)

The 25th term in the sequence is 126.

Answer: B. 4 × 10⁻⁵

Step-by-step explanation:

0.00003762 = 3.762 × 10⁻⁵ ≈ 4 × 10⁻⁵

Answer:

b

Step-by-step explanation:

\(4 \times {10}^{ - 5} = 4 \times \frac{1}{100000} \)

Answer:

x=50°

Step-by-step explanation:

Add all the number. 110+99+101=310

Then, 360-310=answer(x)

3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3

This means that 3⁴ is 3 times larger than 3³.

5³ is 5 times larger than 5².

5³ / 5² = (5 × 5 × 5) / (5× 5) = 5

7¹⁰ is 49 times larger than 7⁸.

7¹⁰/ 7⁸ = 7² =49

17⁶ is 289 times larger than 17⁴.

17⁶ /17⁴ = 289

Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

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Answer:

115 degrees

Step-by-step explanation:

The incenter is where the angle bisectors of a triangle meet.  So \(m\angle{PQK}=15^\circ \text{ and } m\angle{PQR}=30^\circ\).

To find the measure of angle RKQ, we need to find the measure of angle PRQ.  In the big triangle, the sum of angle measures is 180 degrees, and we know two of the angles, 50 deg and 30 deg (for a total of 80 deg).  That leave 100 degrees for the measure of angle PRQ.

But RK is an angle bisector, so \(m\angle{KRQ}=50^\circ\).

We now know two of the angles in \(\triangle{KRQ}\), 50 deg and 15 deg.  Those total 65 degrees, so \(m\angle{RKQ}=180^\circ - 65^\circ=115^\circ\)

Answer:

1 , 2

Step-by-step explanation:

y = 2x --------------(I)

5x + y = 7 ------------(II)

Substitute y = 2x in equation (II)

5x + 2x = 7

7x = 7

Divide both sides by 7

x = 7/7

x = 1

Plugin x = 1 in (II)

y = 2*1

y = 2

Answer:

8000 feet i think so yeah

Answer:10.5 ml

Step-by-step explanation:do 75/50=1.5

Do 7 times 2.6 and get 7+2.5=10.5 miles

Answer:

8

Step-by-step explanation:

4(x-3)=20 8-3=5 4(5)=20

Answer:

the answer is 8 because 4 times 5 equals twenty and 8 minus 3 is 5. So 4(8-3)=20

Answer:

because its out of 100

Step-by-step explanation:

cause it could be something else

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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