All categories

4 years ago

Which expression defies the arithmetic series 10 + 7 + 4 ... for six terms?

Mathematics

1 answer:

Paha777 [63]4 years ago

7 0

Answer:

$a_n = 10-3(n - 1)$

10 + 7 + 4 + 1 + -2 + -5

Step-by-step explanation:

Explicit Arithmetic Formula: $a_n = a_1 + d(n-1)$

To find <em>d</em>, take the common difference between 2 numbers.

To find the other terms of the sequence, plug them into the explicit formula or subtract 3 from the given numbers.

You might be interested in

In a recent year, 31.6% of all registered doctors were female. If there were 53,000 female registered doctors that year, what wa

Naily [24]

Answer:

The total number of registered doctors was 167,722.

Step-by-step explanation:

Total number of doctors:

The total number of doctors is given by x.

31.6% of all registered doctors were female. 53,000 female doctors.

This means that:

$0.316x = 53000$

What was the total number of registered doctors?

We have to solve the above equation for x. So

$x = \frac{53000}{0.316}$

$x = 167722$

The total number of registered doctors was 167,722.

6 0

3 years ago

The function f(x) = −x2 − 9x + 10 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in

mote1985 [20]

Answer:

Zeros of a function: x = 1 and x = -10

Step-by-step explanation:

A zero of a function is the value of x when f(x) = 0. In other words it is the intersect point between x and y=f(x), when y =0.

First we need to make f(x)=0, so we would have: $-x^{2}-9x+10=0$ .

If we factorize this quadratic function, we would have: $(x+10)(x-1)=0$

So we get x = -10 and x = 1.

x = 1 means that the diver hits the water 1 foot away horizontally from the board.
x=-10 means the diver hits the water 10 feet behind the diving board.

Hope it helps!

4 0

4 years ago

Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether th

Varvara68 [4.7K]

QUESTION A

The given points are

$(x_1,y_1)=(8,3)$ and $(x_2,y_2)=(9,8)$

The slope can be found using the formula;

$m=\frac{y_2-y_1}{x_2-x_1}$

We substitute the point to obtain;

$m=\frac{8-3}{9-8}$

This simplifies to

$m=\frac{5}{1} =5$

Therefore the slope is 5.

QUESTION 2

A positive slope indicates a rising line

A negative slope indicates a rising line

A zero slope means the line is horizontal.

An undefined slope means the line is vertical.

The correct answer is

A. The line rises from left to right.

3 0

3 years ago

Read 2 more answers

Solve for x help don't know how to do this

Charra [1.4K]

Both triangle are isosceles, which means their base angles are congruent.

54 + 2y = 180
2y = 126
y = 63

The measure of the base angles of the triangle on the left is 63 degrees.

180 - 63 = 117

117 + 2x = 180
2x = 63
x = 31.5

Answer:
x = 31.5

Hope this helps.

5 0

4 years ago

A rectangle has perimeter, P, length, land width, w. Which of the following represents lin

almond37 [142]

Answer:

$l=\frac{P}{2}-w$ .

Step-by-step explanation:

The perimeter of a rectangle is the sum of it's side lengths.

A rectangle has 4 sides where it's opposite sides are congruent.

So if one side has measurement w, then there is another side that has measurement w.

If there is one side that has measurement l, then there is another side that has measurement l.

So if you add w+w+l+l you get 2w+2l.

They are giving us that the perimeter is P, so P=2w+2l.

we are being asking to solve for l.

P=2w+2l

First step: Isolate term that contains the l, so get 2l by itself first.

We are going to subtract 2w on both sides giving us:

P-2w=2l

2l=P-2w

Now that we have 2l by itself it is time to perform the last step in getting l by itself.

Second step: Divide both sides by 2.

This gives us:

l=(P-2w)/2

You may separate the fraction like so:

$l=\frac{P-2w}{2}=\frac{P}{2}-\frac{2w}{2}=\frac{P}{2}-w$ .

I don't know your options but I have solve for l in terms of P and w

and got $l=\frac{P}{2}-w$ .

Please let me know if you have further questions with this problem.

4 0

4 years ago