All categories

3 years ago

In a sequence of numbers, a4=9, a5=13, a6=17, a7=21, and a8=25.

Mathematics

1 answer:

bulgar [2K]3 years ago

6 0

Answer:

The answer is C i.e an=4n-7

You might be interested in

A botanist measured the length of a tomato seedling as 3.56 centimeters. Select her degree of accuracy in measurement.

xxTIMURxx [149]

Answer:

her degree of accuracy in measurement is 0.05 cm (Option D)

Step-by-step explanation:

The degree of accuracy in the measurement of the botanist depends on the instrument used.

For a length of 3.56 centimeters, it shows that the length of the tomato seedling was measured using meter rule or tape.

Meter rule is graduated in 1 mm or 0.1 cm. The estimated uncertainty in measurement using meter rule is half of its graduation i.e ( ¹/₂ of 0.1 cm = 0.05 cm).

If the botanist measured the length of tomato seedling as 3.56 centimeters, then her degree of accuracy in measurement is 3.56 cm ± 0.05 cm.

Therefore, her degree of accuracy in measurement is 0.05 cm (Option D)

4 0

3 years ago

Sue used the equation y=10x to calculate how much money, y, she would make for babysitting x hours. How many hours did Sue babys

kkurt [141]

Y = 10x

Plug in $260 for y.

260 = 10x
Divide by 10.

x = 26

Sue babysat for 26 hours.

5 0

4 years ago

Multiply Conjugates Using the Product of Conjugates Pattern

stealth61 [152]

Answer:

The product is the difference of squares is $\left(5-3x\right)\left(5+3x\right)=25-9{{x}^2}$

Step-by-step explanation:

Explanation

The given expression is (5-3 x)(5+3x).

We have to multiply the given expression.

Square the first term 5. Square the last term 3x.

$\begin{aligned}&(5-3 x)(5+3 x)=(5)^{2}-(3 x)^{2} \\&(5-3 x)(5+3 x)=25-9 x^{2}\end{aligned}$

8 0

2 years ago

A student claims that 3x + 2y = 5xy. Use a visual representation to show whether this is true or false

Ket [755]

Answer:

It is true, except when x = 2/5, since it is an asymptote.

Step-by-step explanation:

3x=5xy-2y

3x=y(5x-2)

3x/5x-2=y

5x-2=0 -------> 5x=2 --------> x=2/5

7 0

3 years ago

Given the directrix of y = -1 and focus of (0, 3), which is the equation of the parabola?

guajiro [1.7K]

Answer:

$y=\dfrac{1}{8}x^2+1$

Step-by-step explanation:

Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:

$y=\dfrac{1}{8}x^2+1$

Hope this helps!

3 0

4 years ago