What is the prime factorization for 7

The correct solutions about holiday is:

a. $1250

b. c = 200 + 150n

The expression that will be formed based on the information will be -

Total cost = travel cost + cost per night for a hotel × number of nights

Now, representing total cost with c, travel cost with t and nights with n. The resultant expression will be -:

c = t + 150n

c = 200 + 150n

This will be function of c in terms of n.

Keeping the value of n as 7 in the mentioned expression

c = 200 + 150×7

Performing multiplication on Right Hand Side of the equation

c = 200 + 1050

Performing addition on Right Hand Side of the equation

c = $1250

The solution of a is $1250 and b is c = 200 + 150n.

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Answer:

if you divide the square root of X plus the 14th amendment to the constitution of declaration then the people of Madagascar should tell you that the independent variable in the school is fully 14,000,000,621

Step-by-step explanation:

I think this is right if it is could you please give me brainlyist

Answer:

420

Step-by-step explanation:

I hope this helps!

Points have no size and no dimension

Points have no length or height.

option C and D are the correct answers.

A point is an exact location without any size or does not have any length, area, volume or any other dimensional attribute. It is normally shown by a dot.

The following are the characteristics of points;

Thus, from the given options; the characteristic of points are;

Points have no size and no dimension

Points have no length or height.

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The cube roots of i are:

Given:

cube root of i

i can be written as cosπ/2 + i sinπ/2

i = cos π/2 + i sinπ/2

general form:

i = cos (2kπ + π/2) + isin(2kπ + π/2) for k=0,1,2

= cos (4kπ+π/2) + i sin(4kπ+π/2)

= cos (4k+1)π/6 + i sin(4k+1) π/6

k = 0: i¹/³ = cos π/6 + i sin π/6

= √3/2 + i 1/2

K = 1, i¹/³ = cos(5π/6) + i sin(5π/6)

= cos(π - π/6) + i sin (π-π/6)

= - cos (π/6) + isin(π/6)

= -√3/2 + i 1/2

k = 2, i¹/³   cos(3π/6) + i sin(3π/6)

= cos (3π/2) + i sin(3π/2)

= cos(π+π/2) + i sin(π+π/2)

= -cos(π/2) - i sin(π/2)

= 0 - i

= -i

Hence we get the required roots.

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Answer:

Squaroot of 85

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

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Answer:

8v+3c

Step-by-step explanation:

Given 2v+6v+3c

1) Add all like terms

-Since both 2 and 6 have "v" and the two together

2) 8v+3c

Answer: 8v+3c

Hope this helps :)

Answer:

115%, 1.15, 115/100

Step-by-step explanation:

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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Answer:

I think it is B

Step-by-step explanation:

Angle AMB is not more than 90 and less than 180 degrees, and neither is angle BMC. Therefore, neither angle is obtuse.

In \(\angle\) A, \(\angle\) BMC is an obtuse angle.

In \(\angle\) B, \(\angle\) AMB is an obtuse angle.

In \(\angle\) D, \(\angle\) AMB is an obtuse angle.

But, in C there are two right angles

Therefore, two right angles exist supplementary.

When the sum of the measures of two angles is 180°, such angles are called supplementary angles and each of them is called a supplement of the other.

Two angles exist named supplementary when their measures count up to 180 degrees. By the explanation of obtuse angles, the angles that estimate more significant than 90° exist as obtuse. If we add two obtuse angles, the sum will be more significant than 180°. It will not help the results of the supplementary angles when we add obtuse angles.

In \(\angle\) A, \(\angle\) BMC is an obtuse angle.

In \(\angle\) B, \(\angle\) AMB is an obtuse angle.

In \(\angle\) D, \(\angle\) AMB is an obtuse angle.

But, in C there are two right angles

The two right angles exist supplementary.

Therefore, the correct answer is option B.

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Answer:

For the mapping diagram, drag the first answer choice and drop.

For the table one, drag the second answer choice and drop.

Step-by-step explanation:

The surface area of the composite solid is 165 \(feet^2\).

We possess

4 triangles, each measuring 6 feet in height and 5 feet in base

4 rectangles, each measuring 5 feet long and 4 feet wide

1 square has side a = 5 feet.

The formula for a triangle's area is:

\(A_T=\frac{1}{2} bh\)

Substitute:

\(A_T=\frac{1}{2} 5*6\\A_T=\frac{1}{2} 30\\A_T=15 ft^2\)

Formula for calculating a rectangle's area:

\(A_R=lw\)

Substitute:

\(A_R=5*4\\A_R=20 ft^2\)

The formula for a square's area is as follows:

\(A_s=a^2\)

Substitute:

\(A=s=5^2\\A_s=25 ft^2\)

The composite solid's surface area is:

\(SA=4A_T+4A_R+A_s\)

Substitute:

\(SA=4*15+4*20+25\\SA= 60+80+25\\SA=165 ft^2\)

The composite solid has a surface area of 165 \(feet^2\).

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Answer:

50.1 milliliters

Step-by-step explanation:

hope this helps!

Answer:

-3<x<5

Step-by-step explanation:

Given the inequality 2x-3<7 and 5-x<8

Solve 2x-3<7

Add 3 to both sides

2x-3+3 < 7+3

2x < 10

2x/2 < 10/2

x < 5

Solve 5-x<8

subtract 5 from both sides:

5-x-5<8-5

-x < 3

multiply both sides  by -1

-(-x) > -3

x > -3

-3<x

Combine both solutions x < 5 and -3<x

-3<x<5

The solution to the compound inequality is -3<x<5

Using linear functions, it is found that the costs will be the same at both studios after 2.25 hours.

A linear function is modeled by:

y = mx + b

In which:

For the functions, we have that:

Hence the functions are given by:

The costs will be the same when:

A(x) = B(x)

Hence:

10.49 + 8x = 14.99 + 6x.

2x = 4.5.

x = 4.5/2

x = 2.25.

The costs will be the same at both studios after 2.25 hours.

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Answer:

\(\frac{25}{56}\) pounds

Step-by-step explanation:

By using unitary method,

∵ 1 full tub of water weighs = \(3\frac{1}{8}\) pounds

∴ \(\frac{1}{7}\) of a water tub will weigh = \(3\frac{1}{8}\times \frac{1}{7}\)

                                               = \(\frac{(24+1)}{8}\times \frac{1}{7}\)

                                               = \(\frac{25}{56}\) pounds

Therefore, water filled in \(\frac{1}{7}\)th part of the tub will weigh \(\frac{25}{56}\) pounds.

The weight of the tub if filled up to 1/7 full is 25/56 pounds

Given:

If filled halfway:

= 1/7 × 3 1/8

= 1/7 × 25/8

= (1 × 25) / (7 × 8)

= 25/56 pounds

Therefore, the weight of the tub if filled to 1/7 of the capacity is 25/56 pounds

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Answer:

2187

Step-by-step explanation:

Answer:

3'7

Step-by-step explanation:

3'7x3'2=3'9

3'7x3'2/3'2=3'7

simplify 3'2/3'2

Answer:

p=2/5

p=0.4

Step-by-step explanation:

Answer:

p=2/5

Step-by-step explanation:

6p+13.5=159/10

Answer:

Yes and no. 2/5 is the simplified form of 40/100. they are the same amount, so i would choose j

Step-by-step explanation:

Answer:

A, B, D, E

Step-by-step explanation:

Given expression:

When multiplying decimals, multiply as if there are no decimal points:

\(\implies 6 \times 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:

\(\implies (0.06) \cdot (0.154)=0.00924\)

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

Answer option A

\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)

Therefore, this is a valid answer option.

Answer option B

\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)

Multiply the numbers 6 and 154:

\(\implies 6 \times 154 = 924\)

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).

\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)

Therefore, this is a valid answer option.

Answer option C

\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:

\(\implies 6 \cdot 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:

\(\implies 0.924\)

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D

\(\boxed{6 \cdot 154 \cdot (0.00001)}\)

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:

\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)

Therefore, this is a valid answer option.

Answer option E

\(\boxed{0.00924}\)

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.

1. If the serial number 1207 is a Tuesday, the serial number 1210 would be on Friday.

2. The result of the formula "1:30" is 1 hour and 30 minutes.

3. The formula =DATE(2017,7,2) will return July 2, 2017.

4. To find the difference between two dates listed in years instead of days, use the YEARFRAC function.

5. The statement "You can’t edit conditional rules, but you can delete them and then create new ones" is FALSE regarding the Conditional Formatting Rules Manager.

6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change.

1. By considering the days of the week in order, serial number 1210 would be on Friday, as it follows the pattern of consecutive days.

2. The formula "1:30" represents 1 hour and 30 minutes.

3. The formula =DATE(2017,7,2) specifies the date as July 2, 2017.

4. The function YEARFRAC is used to find the difference between two dates in years, taking into account fractional parts of a year.

5. The Conditional Formatting Rules Manager allows you to create, edit, and delete rules. You can edit conditional rules by selecting them and making the necessary changes.

6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change, as the Difference column is calculated as budget minus actual amount, and any change in the actual rent would affect both values.

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The number of possible permutations of the three letters C, D, and E is d.6

A permutation is an arrangement of objects in a specific order. In this case, we are looking at the number of possible arrangements of the three letters C, D, and E. To find the number of permutations, we can use the formula:

n! = n x (n-1) x (n-2) x ... x 3 x 2 x 1

where "n" is the number of distinct objects to be permuted.

So for our problem, we have three distinct objects (C, D, and E). Therefore, we can plug in n=3 to get:

3! = 3 x 2 x 1 = 6

This means there are 6 possible ways to arrange the letters C, D, and E in different orders. We can list all of these permutations as follows:

CDE

CED

DCE

DEC

ECD

EDC

So the answer to the question is 6, as given in option (d).

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There are 23 students taking exactly 2 subjects.

To find the number of students taking exactly 2 subjects, we can use the formula:

n(A∩B∩C) = n(A) + n(B) + n(C) - 2n(A∩B) - 2n(B∩C) - 2n(C∩A) + 3n(A∩B∩C)

Since we know that no one takes all three subjects, n(A∩B∩C) = 0. We can plug in the values given in the question and solve for n(A∩B), which represents the number of students taking exactly 2 subjects:

0 = 12 + 16 + 18 - 2n(A∩B) - 2(0) - 2(0) + 3(0)

0 = 46 - 2n(A∩B)

2n(A∩B) = 46

n(A∩B) = 23

Therefore, the number of students taking exactly 2 subjects is 23.

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The SI units of the proportionality constant G is Newton \(Kg^{-2} m^2\)

Gravitational force is given by Newton's law of gravitation which states that every particle of matter in the cosmos is drawn to every other particle by a force of attraction that varies directly with the product of their masses and is inversely proportional to the square of the distance or degree of separation from each other.

F = G \($ \frac{m_1 m_2}{r^2}\)

Upon rearranging the terms we get,

G = \($\frac{F r^2}{m_1 m_2}\)

Where F is the gravitational force, \(m_{1}\) and \(m_{2}\) are masses, and r is the length.

Force has the SI units kg · m/s2

The SI units of the proportionality constant G

SI Unit of G = \($\frac{(\text { Newton })\left(\mathrm{m}^2\right)}{\mathrm{kg} ^2}\)

= Newton \(Kg^{-2} m^2\)

Therefore the units are Newton \(Kg^{-2} m^2\)

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Newton's law of universal gravitation is represented by F = G \($ \frac{m_1 m_2}{r^2}\) where F is the gravitational force, \(m_{1}\) and \(m_{2}\) are masses, and r is a length. force has the SI units kg· m/s2. what are the SI units of the proportionality constant G?

Answer:

the value of x is probs 20 value i mean if its a tier three it could be 100 150 200 250 300 or even 350 at max (bgs bucket) secrets like 40 (gb shard) and u got leviathan giant robot and dementor like super good pets dementors like 75-80k leviathan like 200,000k and giant robot i think is like 250,000k so yea the value of x looks like 144 value so its prob a tier 3                                                              

Answer:

144°

Step-by-step explanation:

total angle of octagon= 1080°

so, 136+124+141+158+116+129+132+x=1080

936 + x = 1080

x = 1080-936

x= 144°

Step-by-step explanation:

Answer:

15*24=360

Step-by-step explanation:

Answer:On A.p.E.X its Log (15) + Log (24)

Step-by-step explanation:

Firstly let's find hypotenuse(let it will be "n" of smaller triangle

Let use Pythagorean theorem

\(a^{2} + {b}^{2} = {n}^{2} \\ {20}^{2} + {10}^{2} = {n}^{2} \\ n = \sqrt{500} \)

Now we need to find hypotenuse(x) of bigger triangle

\( {c}^{2} + {n}^{2} = {x}^{2} \\ {9}^{2} + { \sqrt{500} }^{2} = {x}^{2} \\ x = \sqrt{581} \)

The value of x must be rounded to 1 DP, so

\( \sqrt{581} = 24.1039... \\ \sqrt{581} \simeq \: 24.1\)

Answer: x=24.1