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3 years ago

PLEASE HELP ! (4/4) - 50 POINTS -

Mathematics

1 answer:

slega [8]3 years ago

7 0

Answer:

The correct answer, again, is A; Z = -0.6

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2 times the difference between 49.5 and 37.5

Vera_Pavlovna [14]

The answer is24. Explenation: 2 x (49.5 - 37.5)
2 x 12=
24

4 0

3 years ago

Read 2 more answers

The first difference of a sequence is the arithmetic sequence

ad-work [718]

Answer:

a). 1, 3, 5, 7, 9, 11

b). 4, 6, 8, 10, 12, 14

c). 28, 30, 32, 34, 36, 38

Step-by-step explanation:

Solution for question (a):

The first difference of a sequence is the arithmetic sequence;

2, 4, 6, 8, 10

As clearly shown, the common difference (d) is 2.

This sequence, above, is an arithmetic sequence.

If the first term of an arithmetic sequence (AP) is 1, then the first six terms would be:

1, 3, 5, 7, 9, 11

Solution for question (b):

If the sum of the first two terms of an AP is ten,

Lets say the first term is x and the second term is x + 2 then;

x + (x + 2) = 10

2x = 10 - 2

x = 4

So the first term is 4 and the six terms of the AP are:

4, 6, 8, 10, 12, 14

Solution for question (c):

If the fifth term of an AP is 36 then,

To find the nth term in an AP we use the formula;

$T_{n} = a + (n - 1)d$ (where $T_{n}$ is the nth term, $a$ is the first term and $d$ is the common difference).

36 = a + (5 - 1)2

36 = a + 8

a = 36 - 8 = 28

So the first term is 28 and the first terms are;

28, 30, 32, 34, 36, 38

3 0

3 years ago

How can I set each side equal to each other?

jekas [21]

RTP: [a tan(u) + b]² + [b tan(u) - a]² = (a² + b²) sec²(u)

Proving LHS = RHS:

LHS = [a tan(u) + b]² + [b tan(u) - a]²

= a² tan²(u) + 2ab tan(u) + b² + b² tan²(u) - 2ab tan(u) + a²
= (a² + b²) tan²(u) + (a² + b²)
= (a² + b²)[tan²(u) + 1]
= (a² + b²) sec²(u), using the identity: tan²(x) + 1 = sec²(x)
= RHS

7 0

3 years ago

You and your friend were taking turns rolling a die when you thought of a game: If a one is rolled by either player, you pay you

Mazyrski [523]

Answer:

6 times

Step-by-step explanation:

1. There was no cents left

2. If you roll one and get 50 cents you have to minus it with rolling other number than 'one' 5 times because you'll get 10 minus if you roll another number (50 divided by 10 is 5)

3. If you divid 30 (The rolls) by 5 (amount of roll you have to roll if you get one)

4. It equals 6 and 6 is a even number

5. Sorry this was too confusing

6 0

3 years ago

What is the solution of StartRoot x squared + 49 EndRoot = x + 5?

Natasha2012 [34]

$x=\frac{12}{5}$ or x= twelve-fifths

Option A is correct.

Step-by-step explanation:

We need to find the solution of:

$\sqrt{x^2+49}=x+5$

Solving:

Taking square on both sides:

$(\sqrt{x^2+49})^2=(x+5)^2\\x^2+49=x^2+2(x)(5)+25\\Simplifying:\\x^2+49-x^2-10x-25=0\\-10x+24=0\\-10x=-24\\x=\frac{-24}{-10}\\ x=\frac{24}{10}\\x=\frac{12}{5}$

Verifying the solution by putting x = 12/5 in the given equation, we get true result.

So, $x=\frac{12}{5}$ or x= twelve-fifths

Option A is correct.

Keywords: Solving Square root Equations

Learn more about Solving Square root Equations at:

#learnwithBrainly

5 0

4 years ago

Read 2 more answers