Which logarithm equation is equivalent to the exponential equation below?
3^c=27

Answer:Magnitude of voltage is 41.9963 volts

Step-by-step explanation:

Given that current I =5.772-5.323i mA

          and impedance, Z=3.342+4.176i kilo ohms

Then voltage in the circuit = IZ

                                            [tex]=(5.772-5.323i)X10^{-3}X(3.342+4.176i)X10^{3}[/tex]

                                      [tex]V=(5.772-5.323i)X(3.342+4.176i)[/tex]

                                      [tex]V=19.290024+24.103872i-17.789466i-23..5148848i^{2}[/tex]

                                     [tex]V=41.518892+6.314406i[/tex]

Magnitude of V = [tex]\sqrt{41.518892^{2} +6.314406^{2} }=\sqrt{1763.6901}=41.9963volts[/tex]

Can u tell me what math book this was from ?

Step-by-step explanation:

250 and 120 both adds up to 370 but 350 of the male play sports. So u answer can't be sloved

One hundred male athletes in the school play baseball only. This is determined by subtracting the number of males who play both sports and who play only basketball from the total number of male athletes.

The question states there are 350 male athletes in total at the high school. We know that 250 males play basketball and that 120 males play both sports. To figure out the amount of males who play baseball, we first subtract the number of males who play basketball and both sports from the total number of male athletes.

Therefore, the calculation would be as follows:

So, there are 100 males that only play baseball according to the given information.

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we will always start order of operation from left to right

Left most is :

twelve times h

so, [tex]12 \times h[/tex]

Right side is :

one hundred and twenty minus thirty-six

[tex]120-36[/tex]

now, we can set them equal

we get

[tex]12 \times h=120-36[/tex]

so, the equation is

[tex]12 \times h=120-36[/tex]................Answer

25 water stations, 15000/600 = 25

i think it is 1:4 or as a fration it is 1/4

Combine the like terms (8y and 13y) in the given algebraic expression (8y - 5x + 13y), which equals 21y. Thus, after simplifying, the equivalent expression is 21y - 5x.

The given expression is 8y - 5x + 13y. In order to simplify it, combine the like terms. The like terms here are 8y and 13y because they both include the variable 'y'. By adding 8y and 13y, we get 21y. Thus, the simplified version of the given expression is 21y - 5x. So, the correct answer is Option A: 21y - 5x.

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Answer:

derp

Step-by-step explanation:

derp lol

Answer: [tex]-\frac{3}{5}[/tex]

Step-by-step explanation:

If you solve for y, then it will be in y = mx + b format where m is the slope.

3x + 5y = 29

-3x           -3x

       5y = -3x + 29

       [tex]\frac{5y}{5} = \frac{-3x}{5} + \frac{29}{5}[/tex]

       [tex]y = \frac{-3}{5}x + \frac{29}{5}[/tex]

m = [tex]-\frac{3}{5}[/tex]

To find the slope of the line for the equation 3x+5y=29, rewrite it in slope-intercept form y=mx+b. After isolating y, you'll find that the slope m is -3/5.

To find the slope of the line represented by the equation 3x + 5y = 29, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we solve for y:

Now, the equation is in slope-intercept form, and we can easily identify the slope as -3/5. This means there is a decrease of 3 on the vertical axis for every increase of 5 on the horizontal axis. Thus, the slope of the line is -3/5.

2(x - 2) + 3(x + 1) = 9

2x - 4   + 3x + 3  = 9      distributed the 2 and 3 on the left side

               5x - 1   = 9      added like terms (2x + 3x) and (-4 + 3)

                     5x = 10      added 1 to both sides

                       x  = 2       divided 5 from both sides

Answer: x = 2

Substitute 5 and 3 for a and b in the original expression.

8(a+b)

8(5+3)

Using the rules of PEMDAS, solve the inside of the parentheses first, then multiply accordingly.

8(8)

The final answer is 64.

Answer:

Using definition of midpoint, Q is the mid point of PR.

Step-by-step explanation:

Given 2PQ=PR

And Q lies on the line PR (It should be given in the problem itself else we have to assume it to prove "Q is the midpoint of PR").

Then PR=PQ+QR using segment addition postulate.

Let us plugin PR in given equation.

2PQ=PQ+QR

Subtract PQ from both sides.

2PQ-PQ=PQ+QR-PQ

PQ=QR

Since Q lies on the line PR and PQ=QR, Q is the mid point of PR.

Hence proved.

In geometry, if 2PQ=PR, point Q is the midpoint of PR. This is because the given condition implies that the length of segment PQ is half of the length of the whole segment PR, meaning Q divides PR into two segments of equal lengths.

In Geometry, the statement 2PQ=PR is the given condition. Prior to your question, we are assuming that PQ and QR are line segments. This would imply that P, Q, and R all lie on the same line, with P and R being the endpoints and Q somewhere between them.

Now, the provided condition (2PQ=PR) means that the length of segment PQ is half of the length of the whole segment PR. If we assume segment PQ is 'a' units long, then 2PQ would be '2a' units long. According to the equation, PR is also '2a' units long.

By definition, the midpoint of a line segment is the point that divides the segment into two segments of equal length. Since PQ is half of PR, point Q would divide PR into two equal segments, PQ and QR, both being 'a' units in length. Therefore, Q is the midpoint of PR.

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The inequality "x ≤ 5" means that the value of x is going to be less than or equal to the quantity 5.

Because of this, the correct answer on the graph would be a filled in dot (meaning starting at that quantity, rather than one less or one more than), and an arrow pointing to the left.

The value of x could be 5, 4, 3, and so on. Any quantity lower than, and including, 5 is a possible answer for the value of x.

The correct answer is the 2nd option.

Answer:

Graph represented by option B is the correct choice.

Step-by-step explanation:

We have been given an inequality [tex]x\leq 5[/tex]. We are asked to find the graph of the given inequality.

Our given inequality tells that solution is any value of x less than or equal to 5.

Since our given inequality has less than or equal to sign, then the number line will have a solid dot at [tex]x=5[/tex].

Since the values of x are less than or equal to 5, so the solution of the inequality will be numbers less than 5.

Since the numbers on the left side of a number line are less than number on right side, therefore, the graph represented by option B is the correct choice.

Answer:

As given, measure of angle 4 is 70°

Then what would be the measure of ∠8.

Following cases comes into consideration  

1. If ∠4 and ∠8 are supplementary angles i.e lie on same side of Transversal, then

 ∠4 + ∠8=180°

⇒70°+∠8=180°  [∠4=70°]

⇒∠8=180°-70°

⇒∠8=110°

2nd possibility

But if these two angles i.e ∠4 and ∠8 forms a linear pair.Then

⇒ ∠4 + ∠8=180°

⇒70°+∠8=180°  [∠4=70°]

⇒∠8=180°-70°

⇒∠8=110°

3rd possibility

If ∠4 and ∠8 are alternate exterior angles.

then, ∠4 = ∠8=70°

4th possibility

If If ∠4 and ∠8 are corresponding angles.

then, ∠4 = ∠8=70°

Out of four options given Option A[ 110° because ∠4 and ∠8 are supplementary angles], Option B[70° because ∠4 and ∠8 are alternate exterior angles.] and Option D[70° because ∠4 and ∠8 are corresponding angles.] are Correct.

https://socratic.org/questions/the-ratio-of-boys-to-girls-at-a-college-is-4-5-how-many-boys-and-are-there-if-th

there would be 124 boys in the class

Answer: The correct option is D.

Explanation:

It is given that in January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow.

Since Bangkok is hotter than Cape Town, it means the temperature of Bangkok is more than  or greater than the Cape town.

[tex]\text{Bangkok's temperature}>\text{Cape Town's temperature}[/tex]  .... (1)

Since Cape Town is hotter than Moscow, it means the temperature of Cape town is more than or greater than the Moscow.

[tex]\text{Cape Town's temperature}>\text{Moscow's temperature}[/tex]    ..... (2)

From equation (1) and (2) we get,

[tex]\text{Bangkok's temperature}>\text{Cape Town's temperature}>\text{Moscow's temperature}[/tex]

Therefore, the correct option is D.

The Correct answer is d

0.836, 0.683, 0.386, and then 0.3

Here's the order:

0.300   0.386   0.683   0.836

the equation would be m+12 because it stands for 12 more than m number of machines.

(7/3)/(9/2)=(14/27)/1

Final answer:

Yes, a semi-regular tessellation can be created using squares and regular hexagons. One example of this is the honeycomb pattern, which consists of hexagons surrounded by squares.

Explanation:

Yes, it is possible to create a semi-regular tessellation using only squares and regular hexagons. A semi-regular tessellation is a pattern that repeats using two or more regular polygons, but with different arrangements around each vertex.

One example of a semi-regular tessellation using squares and regular hexagons is the honeycomb pattern. In this pattern, the squares and hexagons are arranged in such a way that they fill the plane without any gaps or overlaps.

To create the honeycomb pattern, you start by placing a regular hexagon in the center. Then, surround the hexagon with six squares, with each square touching two sides of the hexagon. Finally, place a hexagon on each side of the square, with each hexagon touching two sides of the square and one side of the adjacent hexagon. Repeat this pattern to create a tessellation.

The answer is D for the quick answer

27÷2356=

27 goes into 235 8 times which is 216

235-216 is 19

U bring down the 6 which makes 196

27 goes into 196 7 times which is 189

196-189=7

So the answer is 87 reminder 7

Answer:

the highest number Nancy made was 985,431

Step-by-step explanation:

if you put Nancy greatest numbers in order from greatest to least it would come out to 9 8 5 4 3 1

Prime numbers mean that their factors are only the number itself and 1.

2, 3, 5, 7, 11, etc. all fall under this category.

note however, that the numbers have to be less than 8: [2, 3, 5, 7] are your choices

2 + 3 = 5

5 + 5 = 10

10 + 7 = 17

Therefore, {2, 3, 5, 7} are your answers

hope this helps

Answer:

2,3,4,5,7

Step-by-step explanation:

Hello  AskMeBosh...again

Since we know that there are 2 friends, and 40.50 is going to be split

We would do 40.50 divided by 2

40.50/2

= 20.25

:)

Basically you subtract the amount of people who rode in cars so and divide the number you get by the number of buses.

404-5=399

399/7=57 kids on each bus

it would be 40000000 because there there are 7 zeroes and then you and then you multiply the two twos together and then put it in the front.

Answer:

the approximate value of 200,000 x 200 is 40,000,000

Step-by-step explanation:

the approximate value of 200,000 x 200

To find the approximate value we multiply 200,000 times 200

WE have two zeros in 200. so when we multiply we add two zeros

now we multiply the numbers

2 times 2 gives us 4

[tex]200,000 \ times \ 200= 40,000,000[/tex]

So the approximate value of 200,000 x 200 is 40,000,000

125 x .06 = 7.5

6% of $125 is $7.50