Solve the expression below, when y = 6

5 ( 18 - y)

Answer:

[tex]log_{a}[/tex] 12

Step-by-step explanation:

using the properties of logarithms

• nlog x ⇔ log[tex]x^{n}[/tex]

• log x + log y = log (xy)

[tex]\frac{1}{2}[/tex] [tex]log_{a}[/tex] 16 + [tex]\frac{1}{3}[/tex] [tex]log_{a}[/tex] 27

= [tex]log_{a}[/tex] [tex]16^{\frac{1}{2} }[/tex] + [tex]log_{a}[/tex] [tex]27^{\frac{1}{3} }[/tex]

= [tex]log_{a}[/tex] [tex]\sqrt{16}[/tex] + [tex]log_{a}[/tex] [tex]\sqrt[3]{27}[/tex]

= [tex]log_{a[/tex] 4 + [tex]log_{a}[/tex] 3

= [tex]log_{a}[/tex] (4 × 3)

= [tex]log_{a}[/tex] 12

The cuboidal tank has a volume of [tex]6m^3[/tex] with dimensions of 4 m in length, 2 m in width, and 0.75 m in height.

The total amount of room or volume that a cuboidal tank can hold is known as its capacity. By multiplying the tank's length, width, and height collectively, it is determined.

The tank in this instance measures 4 metres long, 2 metres wide, and 0.75 metres high. We must multiply these three parameters collectively to determine the tank's capacity:

[tex]4m * 2m * 0.75m = 6m^3[/tex]

The tank can therefore hold [tex]6m^3[/tex] of liquid.

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Answer:

I'm already past this but the answer is 21

Answer:

7 is the answer

Step-by-step explanation:

The measure of angle B is, 67°.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Interior angles are,

⇒ ∠ C = 83°

⇒ ∠ B = 6x + 7

An exterior angle is,

⇒ ∠ A = 15x

Now, We know that;

The sum of two interior angles in a triangle is equal to the exterior angle in a triangle.

⇒ 83° + 6x + 7 = 15x

⇒ 90 = 15x - 6x

⇒ 90 = 9x

⇒ x = 10

Thus, The measure of B is,

⇒ m ∠B = 6x + 7

             = 6×10 + 7

             = 60 + 7

             = 67

⇒ m ∠B =  67

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Answer: Ball A, B, C, F, E, D

Step-by-step explanation:

An object has the greatest amount of Gravitational Potential Energy when it is furthest from the ground.

This means that Ball A has the most gravitational potential energy. This is followed by Ball B and Ball C. Then, Ball F is farthest from the ground, followed by Ball E. Ball D has the least gravitational potential energy.

So, the order is as follows: Ball A, B, C, F, E, D

Answer:

8 feet

Step-by-step explanation:

4 parking spots ('4x'), three one-foot dividers = 35

4x + 3 = 35

4x = 32

x = 8

Answer: 8ft.

Step-by-step explanation:

Were doing this in class

wish I could help but I don’t learn these things

Answer:

answer is in picture

Step-by-step explanation:

Answer:

n = 15

Step-by-step explanation:

This is a right triangle, and so the Pythagorean Theorem applies:

x^2 + 8^2 = 17^2

Solving for x^2:  17^2 - 8^2 = 289 - 64 = 225, and so x = 15.

n = 15

The graph of the function g(x) is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) equals log2 x

Express the equation properly

So, we have

f(x) = log₂(x)

Also, we have

g(x) = -log₂(x - 3)

The transformation from f(x) to g(x) is that:

This means that

g(x) = -f(x - 3)

So, we apply the above transformations on the graph of f(x) to form g(x)

See attachment for graph of g(x)

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Answer:

x = - 10

Step-by-step explanation:

2x + 6 = x-4

2x - x = -4 - 6

x= -10

Answer:

The value of x = -10

Step-by-step explanation:

2(x+3) = x - 4

2x + 6 = x - 4

2x - x = -4 - 6

1x = -10

x = [tex]\frac{-10}{1}[/tex]

Value of x equals to -10!

Han is wrong , we do not agree with him. The value of the 7 in 735,208 is not the 10 times the value of the 7 in 137,342.

The value of 7 here refers to the place value of 7 , in 735,208  7 is at lakhs place whereas in 137,342 , 7 is in thousandth place .

Therefore , Han is wrong as because if we will the 7 in 137,342. when multiplied by 10 will go to the ten thousandth place and not the lakh place.

The  place value is a measure which is used to represent the position of each digit in a number . Based on their position in the number, digits are assigned place values such as ones, tens, hundreds, thousands, ten-thousands, and so on. For example, 1 in 512400 has a place value of ten thousands, i.e. 10000.

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Probability that the Captain does NOT hit the pirate's ship × Probability that the pirate hits the Captain's ship = (2/5) × (1/5) = (2/25) = 0.08

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true.

The probability that the pirate hits the Captain's ship, but the Captain misses

= 2/25) = 0.08

P(C) = (3/5) is the likelihood that the captain will strike the pirate ship.

P(C') = 1 - (3/5) = (2/5) is the probability that the captain will miss the pirate ship.

P(p) = (1/5) is the likelihood that the pirate will sink the captain's vessel.

P(p') = 1 - (1/5) = (4/5) is the probability that the pirate will miss the captain's ship.

The likelihood that the pirate will hit the captain's ship while the captain misses is increased if they both fire their cannons at the same moment.

P(C' n p) is he needed probability.

P(C' n p) = P(C') P since the two events are independent of one another (p) The likelihood that the pirate will sink the captain's vessel but that the capain will miss = (Chance that the Captain misses the pirate's ship) (Chance that the pirate hits the Captain's ship) = (2/5) × (1/5) = (2/25) = 0.08

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Answer:

22

Step-by-step explanation:

I timesed 11 by 12 which is 132 and then timesed 10 with 11 which then gave me 110. I then subtracted 132 with 110 which gave me the answer 22. if we remove 11 from the 22 books we then end up with 11. then times it by 12 = 132. then if you subtract 10 of the 22 books then we end up with 12. then times it by 11 which is 132 as well.

Answer:

2.5x10^4hr

Step-by-step explanation:

Answer:

It would look like that I think

Step-by-step explanation:

Answer:

5.83095189485

Step-by-step explanation:

Answer:

Step-by-step explanation: it is

Answer:

A directed segment is a segment that has distance (length) and direction. Hope this helps.

Answer:

1. C

2. D

Step-by-step explanation:

Answer:

For the first question it is C(3rd one) and for the second question it is D(last one)

Step-by-step explanation:

So lets think about what we know here.

We know that Lena was walking at a normal speed.

Then she stopped.

Then she moved slowly.

Since x is time, and y is distance from school, we know that x is going to costantly change, while y will depend on what is happening.

First off, we know she is goiong to school. now away from it. This means that any graph with a increasse in the y value will be incorrect. This gets rid of a and b, whihc are the first two answers.

So y should go up nomrallu, since she was just walking at first.

Now, we know that the distance from school must stop, and then begin to decrease at a slower pace. When lookking at the graphs, only C continues to decrease, while D is constantly not moving.

So the answer is C.

Next.

we know that kala drives at a constant speed.

We  know she starts going faster.

Then she slows down.

So we can isntantly remove any graph that completly stops in speed, which means y would be 0, since she is always moving. This gets rid of A and B.

Then we have  C and D

Well, remember that after Kala is going at a normal speed, she sped up.

Only one graph has a large spike in speed after a constant speed. THis is D.

So the answer must be D

Hope this helps!

Answer:

x = 4

y = 28

Step-by-step explanation:

1) y = 7x

2) y = 2x + 20

substitute y = 7x into equation 2:

7x = 2x + 20   now you can solve for x:

7x - 2x = 20

5x = 20

x = 20/5 = 4

Plug x = 4 into either equation 1 or 2 to solve for y:

y = 7x = 7(4) = 28

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

I think the answer of this question is 24.

The equation given as -y = 3x is a direct variation. The constant of variation is - 1/3

It shows the relationship between two variables that can be described mathematically by an equation where one variable equals a constant multiplied by the other.

A straightforward correlation between two variables is referred to as direct variation. In this case, the constant of variation will be k.

This will be Illustrated as:

y = kx

-1 = 3k

Divide

k = -1/3

The constant is - 1/3.

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According to the Angle-Angle-Angle (AAA) criterion, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

Proof:

Consider two triangles ABC and DEF, such that ∠A = ∠D, ∠B = ∠E, and ∠C = ∠F

Now, cut DP= AB and DQ= AC and join PQ. Hence, we can say that a triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ, which gives ∠B = ∠P = ∠E, and also, the line PQ is parallel to EF.

Therefore, by using the basic proportionality theorem, we can write

DP/PE = DQ/QF.

(i.e) AB/DE = AC/DF. …(1)

Similarly,

AB/DE = BC/EF …(2)

From (1) and (2), we can write:

AB/DE = BC/EF = AC/DF.

Therefore, the two triangles ABC and DEF are similar.

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The difference between the polynomials 9x² + 8x and 2x² + 3x is 7x² + 5x.

A polynomial is formed mathematically by combining one or more algebraic terms (monomials). The roots of "polynomial" are poly- (many) and -nomial (terms). A polynomial can have exponents (powers), constants (numbers), and variables (letters), but not negative exponents or variable division.

Polynomials are typically expressed in standard form. Furthermore, because there are no similar terms among the exponents, they are arranged in descending order (largest to smallest).

To find the difference between

(9x² + 8x) - (2x² + 3x)

We do calculation

= 9x² + 8x - 2x² - 3x

= 9x² - 2x² + 8x - 3x

= 7x² + 5x

Thus, the difference between the polynomials is 7x² + 5x.

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Answer:

30 sheep

Step-by-step explanation:

The first section has 90 sheep sorted into 3 rows. How many sheep are

in each row of the first section?

From the above question:

3 rows = 90 sheep

1 row = x

Cross Multiply

3 rows × x = 1 row × 90 sheep

x = 1 row × 90 sheep/3 rows

x = 30 sheep

Therefore, there are 30 sheep in each row of the first section

Step-by-step explanation:

n = 0 : 2(0) -1 = -1

n = 1 : 2(1) - 1 = 1

n = 2 : 3

n = 3 : 5

n = 4 : 7

n = 5 : 9

sum = -1 + 1 + 3 + 5 +7 + 9 = 25