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3 years ago

Cells make proteins on small structures called vesicles TRUE OR FALSE

Mathematics

1 answer:

arsen [322]3 years ago

5 0

Answer:

True

Step-by-step explanation:

Cells must make proteins to make vesicles move and operate.

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The product of the forth and tenth terms of an arithmetic progression is 189. Dividing the eighth term by the third term gives 2

babymother [125]

Answer:

The first term is 3, and the common difference is 2.

Step-by-step explanation:

The nth term of an arithmetic sequence is:

a = a₀ + d (n − 1)

We are given two equations:

a₄ a₁₀ = 189

a₈ = 2 a₃ + 3

Where:

a₃ = a₀ + d (3 − 1) = a₀ + 2d

a₄ = a₀ + d (4 − 1) = a₀ + 3d

a₈ = a₀ + d (8 − 1) = a₀ + 7d

a₁₀ = a₀ + d (10 − 1) = a₀ + 9d

Substituting:

(a₀ + 3d) (a₀ + 9d) = 189

a₀ + 7d = 2 (a₀ + 2d) + 3

Two equations, two variables. First, simplify:

a₀² + 12 a₀ d + 27d² = 189

0 = a₀ − 3d + 3

Solve for a₀ in the second equation and substitute into the first:

a₀ = 3d − 3

(3d − 3)² + 12 (3d − 3) d + 27d² = 189

9d² − 18d + 9 + 36d² − 36d + 27d² = 189

72d² − 54d − 180 = 0

4d² − 3d − 10 = 0

(d − 2) (4d + 5) = 0

d = -1.25 or 2

a₀ = 3d − 3

a₀ = -6.75 or 3

If a₀ = -6.75 and d = -1.25:

a₄ a₁₀ = -10.5 × -18 = 189

a₈ / a₃ = -15.5 / -9.25 = 1 R 6.25

Extraneous solution

If a₀ = 3 and d = 2:

a₄ a₁₀ = 9 × 21 = 189

a₈ / a₃ = 17 / 7 = 2 R 3

The first term is 3, and the common difference is 2.

6 0

3 years ago

Adriyana wants to determine the difference quotient

S_A_V [24]

Answer:

The answer is B

Step-by-step explanation:

8 0

3 years ago

How many extraneous solutions exist for the logarithmic equation below if it is solved in the most efficient way possible?log_(2

Nadusha1986 [10]

Answer:

No extraneous solution

Step-by-step explanation:

We have the logarithmic equation given by,

$\log_{2}[\log_{2}(\sqrt{4x})]=1$

i.e. $\log_{2}(\sqrt{4x})=2^{1}$

i.e. $\sqrt{4x}=2^{2}$

i.e. $\sqrt{4x}=4$

i.e. $4x=4^{2}$

i.e. $4x=16$

i.e. $x=4$

So, the solution of the given equation is x=4.

Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is $( 0,\infty )$ .

Therefore, the domain of the given function is x > 0.

We know that the extraneous solution is the solution which does not belong to the domain.

But as x=4 belongs to the domain x > 0.

Thus, x = 4 is not an extraneous solution.

Hence, this equation does not have any extraneous solution.

7 0

3 years ago

Read 2 more answers

A convex polygon has 4 sides what is the sum of the measures of its interior angles

zhenek [66]

Answer:

If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°.

Step-by-step explanation:

Where S is the angle-sum, and n is the number of sides. (2n-4) x 90 where n is the number of sides.

4 0

3 years ago

An equation is shown below:

Tasya [4]

<span>This equation have one solution.
</span><span>
5(2x – 3) = 5
2x - 3 = 5/5
2x - 3 = 1
2x = 1 + 3
2x = 4
x = 4/2
x = 2

</span>

3 0

3 years ago

Read 2 more answers