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3 years ago

Which graph represents the solution set for the inequality x ≤ 18?

Mathematics

2 answers:

raketka [301]3 years ago

7 0

Answer:

The answer is D

Darya [45]3 years ago

3 0

You didn't include any graphs but what you're looking for is a solid vertical line on x = 18 or the ordered pair (18, 0) where the whole left side of the line is shaded.

EDIT: I said whole left side of the graph; changed it to "line"

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The distance from Earth to Mars is about 35,000,000 miles. What is the order of magnitude of this number?. . . . . . . . A.. . 6

Musya8 [376]

The scientific notation of the given, 35,000,000 is 3.5 x 10^7. The order of magnitude of a scientific notation is the exponent of its multiplier, 10. From the derived scientific notation above, the exponent of 10 is 7. Thus, the answer is letter D.

7 0

2 years ago

What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

<u>Binomial Series</u>

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

1 year ago

Find the perimeter of a square of sides 10.5cm

Agata [3.3K]

Answer:

Perimeter = 42 cm

Step-by-step explanation:

A square has all equal sides so you would just add 10.5 + 10.5 + 10.5 + 10.5 to get 42 cm.

3 0

3 years ago

Read 2 more answers

HELP!!! GEOMETRY! What is ∠ P T R?

kaheart [24]

Answer:

Angle PTR and angle PTS are supplementary angles. Lines PQ and RS intersect at an angle less than a right angle. Angle PTR and angle PTS are complementary angles.

Step-by-step explanation:

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2 years ago

BRAINLIEST!! LOTS of POINTS

zubka84 [21]

Answer:

-0.2

Step-by-step explanation:

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2 years ago