Ask question

Ask question

All categories

3 years ago

12

A student wrote a number pattern such that each number is 3 more than 4 times the previous number. What is the sixth term in the

pattern if the first term is 6?

1 answer:

patriot [66]3 years ago

7 0

6, 27, 111, 447, 1791, 7167

The answer is 7167

You might be interested in

The measure of the supplement of an angle is seven times as large as the measure of its complement find the measure of the angle

8090 [49]

Answer: original angle = 75°

Its supplement 105°

Its complement = 15°

Step-by-step explanation:

We know that,

Sum of supplementary angles is 180 degrees.
Sum of complementary angles is 90 degrees.

Let x be the original angle , then its supplement = 180° - x

its complement = 90° - x

As per given,

180° - x = 7(90° - x)

⇒ 180° - x = 630° - 7x

⇒ 7x- x = 630° -180°

⇒ 6 x = 450°

⇒ x = 75° [divide both sides by 6]

So, original angle = 75°

Its supplement = 180° - 75° = 105°

Its complement = 90° -75° = 15°

Hence, original angle = 75°

Its supplement 105°

Its complement = 15°

4 0

3 years ago

Which ordered pair is on the graph of the function y = 8x - 1 ?

Kobotan [32]

It is b Bc if you actually look at the other one it don’t make sense

4 0

3 years ago

michelle and rosa are researching the deepest lakes in the united states for a school project. lake tahoe has a depth of 1,644 f

Hatshy [7]

Answer:

Rosa is closer to the correct depth.

Step-by-step explanation:

To show that two measurements are nearly equivalent, we must convert one of the measurements to the other unit.

1 m = 3.281 ft

$\text{Depth } = \text{1644 ft} \times \dfrac{\text{1 m}}{\text{3.281 ft}} = \textbf{501.1 m}$

Neither is correct but Rosa is closer to the correct depth.

4 0

2 years ago

the length of a tangent from a point a at distance 5 cm from the centre of the circle is 4 cm find the radius of the circle

Semenov [28]

The radius of the circle is 3 cm.

<u>Step-by-step explanation:</u>

Refer the attached diagram, the circle with centre O. In that given, AB is tangent given as 4 cm and distance of point from the circle, OA = 5 cm

As AB is tangent, OB (radius of circle) is perpendicular to AB (tangent at any point of circle). Therefore the angle of OBA is 90 degree.

Also, triangle OAB is a right angled triangle (refer attached diagram). By using Pythagoras theorem in right angled triangle,

$(\text {Hypotenuse})^{2}=(\text {Height})^{2}+(\text {Base})^{2}$

$(O A)^{2}=(O B)^{2}+(A B)^{2}$

Substitute the given values in the above expression, we get

$(5)^{2}=(O B)^{2}+(4)^{2}$

$(O B)^{2}=25-16=9$

Taking square root on both side, we get

Radius of the circle, OB = 3 cm

5 0

3 years ago

The SAT mathematics scores in the state of Florida are approximately normally distributed with a mean of 500 and a standard devi

Yanka [14]

The interval $(300,700)$ corresponds to the part of the distribution lying within 2 standard deviations of the mean (since 500-2*100=300 and 500+2*100=700). The empirical rule states that approximately 95% of the distribution is expected to fall in this range.

7 0

3 years ago

Read 2 more answers