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3 years ago

If f(x) = x² + 7, what is the value of f(4)?

Mathematics

1 answer:

quester [9]3 years ago

5 0

Answer:

The value of f(4) is 23

Step-by-step explanation:

f(x) = x² + 7

1) Plug in x as 4.

f(4) = 4² + 7

2) Simplify 4² to 16.

f(4) = 16 + 7

3) Simplify.

resulting in ......

The value of f(4)is 23

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Why is it better to use the metric system, rather than the English system, in scientific measurement?

Dahasolnce [82]

Answer:

Because the metric system is acknowledged by all countries except for the US, therefore, to put it only in a format understood by Americans would make it harder for the larger population of the scientific community to understand. If it's in the metric system, it can easily be understood for peer review and or involvement

3 0

2 years ago

A shipment To a warehouse consists of 4500 MP3 players the manager chooses a random sample of 50 MP3 players and finds that 7 ar

riadik2000 [5.3K]

Answer:

630 MP3 players are likely to be defective.

Step-by-step explanation:

Given:

A shipment to a warehouse consists of 4500 MP3 players the manager chooses a random sample of 50 MP3 players and finds that 7 are defective.

Now, to find the MP3 players which are likely to be defective.

Let the defective MP3 players be $x.$

Total MP3 players = 4500.

In sample of 50 MP3 players 7 are defective.

Now, setting the proportion:

If, 50 is equivalent to 7.

Then, 4500 is equivalent to $x.$

Now, to solve using cross multiplication method:

$\frac{50}{7} =\frac{4500}{x}$

By cross multiplying we get:

$50x=31500$

Dividing both sides by 50 we get:

$x=630.$

Therefore, 630 MP3 players are likely to be defective.

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2 years ago

Find the inner product for (7, 2) * (0, -2) and state whether the vectors are perpendicular.

Andrews [41]

Answer: A

Step-by-step explanation:

To find the inner product of two vectors (a,b) and (c,d) you would use the equation (a * c) + (b * d)

So for (7,2) and (0,-2) the inner product would be

(7 * 0) + (2 * -2)

= 4

The vectors are only perpendicular when the inner product is equal to 0. Since it is equal to -4 in this case, the vectors are not perpendicular.

A -4; no

3 0

2 years ago

Read 2 more answers

I want a expert or someone that can tell me this %100 I’m offering a brainalist + 20 points

Fed [463]

Answer:

The answer is A

Step-by-step explanation:

Supplementary angles are angles which add up to 180°

∠1 and ∠3 add up to 180°, so they are supplementary.

5 0

2 years ago

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Let A, B, C and D be sets. Prove that A \ B and C \ D are disjoint if and only if A ∩ C ⊆ B ∪ D

ANEK [815]

Step-by-step explanation:

We have to prove both implications of the affirmation.

1) Let's assume that A \ B and C \ D are disjoint, we have to prove that A ∩ C ⊆ B ∪ D.

We'll prove it by reducing to absurd.

Let's suppose that A ∩ C ⊄ B ∪ D. That means that there is an element x that belongs to A ∩ C but not to B ∪ D.

As x belongs to A ∩ C, x ∈ A and x ∈ C.

As x doesn't belong to B ∪ D, x ∉ B and x ∉ D.

With this, we can say that x ∈ A \ B and x ∈ C \ D.

Therefore, x ∈ (A \ B) ∩ (C \ D), absurd!

It's absurd because we were assuming that A \ B and C \ D were disjoint, therefore their intersection must be empty.

The absurd came from assuming that A ∩ C ⊄ B ∪ D.

That proves that A ∩ C ⊆ B ∪ D.

2) Let's assume that A ∩ C ⊆ B ∪ D, we have to prove that A \ B and C \ D are disjoint (i.e. A \ B ∩ C \ D is empty)

We'll prove it again by reducing to absurd.

Let's suppose that A \ B ∩ C \ D is not empty. That means there is an element x that belongs to A \ B ∩ C \ D. Therefore, x ∈ A \ B and x ∈ C \ D.

As x ∈ A \ B, x belongs to A but x doesn't belong to B.

As x ∈ C \ D, x belongs to C but x doesn't belong to D.

With this, we can say that x ∈ A ∩ C and x ∉ B ∪ D.

So, there is an element that belongs to A ∩ C but not to B∪D, absurd!

It's absurd because we were assuming that A ∩ C ⊆ B ∪ D, therefore every element of A ∩ C must belong to B ∪ D.

The absurd came from assuming that A \ B ∩ C \ D is not empty.

That proves that A \ B ∩ C \ D is empty, i.e. A \ B and C \ D are disjoint.

7 0

3 years ago