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3 years ago

What is a possible value for the missing term of the geometric sequence 37 __ 925

Mathematics

1 answer:

Sonja [21]3 years ago

6 0

ANSWER

$\pm185$

EXPLANATION

Let the missing term be x.

Then the sequence becomes,

$37,x,925$

$\frac{x}{37} = \frac{925}{x}$

Cross multiply to get,

${x}^{2} = 34225$

Take square root of both sides,

$x = \pm \sqrt{34225}$

$x = \pm185$

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Twelve buses bring a total of 420 people to The Alhambra in Gramada,

yawa3891 [41]

Answer:

35 people

Step-by-step explanation:

This means we have to do 420/12, or 70/2. This is 35, so there are 35 people on each bus.

5 0

4 years ago

Please help!!

disa [49]

Answer:

C. Scalene triangle

Step-by-step explanation:

What I would do is add all of the angles to 180 and then solve for x.

6x + 10 + 7x + 15x + 2 = 180

28x + 12 = 180

28x = 168

x = 6

Then, plug in 6 for each expression to find each angle

6(6) + 10 = 46

7(6) = 42

15(6) + 2 = 92

Since none of the angles are equal and one of the angles is over 90 degrees, triangle GFH is a scalene triangle

7 0

3 years ago

Please help me out thanks

Katyanochek1 [597]

Addition problems that need annex zeros:

Choice A. - 0.54 + 12.1

Choice C. - 25.59 + 1.2

Choice D. - 23.04 + 124.1 + 34.06

Hope I was able to help! :)

8 0

3 years ago

Amir throws a stone off of a bridge into a river. The stone's height (in meters above the water) ttt seconds after Amir throws i

Harrizon [31]

Answer:

1) The vertex form of $h(t) = -5\cdot t^{2}+20\cdot t +160$ is $h -180 = -5\cdot (t-2)^{2}$ , 2) The stone reaches its maximum height 2 seconds after being thrown.

Step-by-step explanation:

1) Given that height of the stone is represented by a second-order polynomial, which depicts a parabola as graph. The best approach to determine the instant when stone reaches its highest is by vertex form, whose form is:

$h-k = C\cdot (t-r)^{2}$

Where:

$r$ , $k$ - Instant and maximum height of the stone, measured in seconds and meters.

$C$ - Vertex constant, which must be negative as there is an absolute maximum, measured in meters per square second.

Let be $h(t) = -5\cdot t^{2}+20\cdot t +160$ , which is transformed into vertex form:

i) $h = -5\cdot t^{2}+20\cdot t +160$ Given

ii) $h = -5\cdot (t^{2}-4\cdot t -32)$ Distributive property/ $(-a)\cdot b = -a\cdot b$

iii) $h = -5\cdot [(t^{2}-4\cdot t +4)+(-36)]$ Existence of additive inverse/Definitions of addition and subtraction

iv) $h = (-5)\cdot (t-2)^{2}+180$ Distributive property/ $(-a)\cdot (-b) = a\cdot b$ /Perfect square binomial

v) $h -180 = -5\cdot (t-2)^{2}$ Compatibility with addition/Existence of additive inverse/Modulative property/Definition of subtraction/Result

The vertex form of $h(t) = -5\cdot t^{2}+20\cdot t +160$ is $h -180 = -5\cdot (t-2)^{2}$ .

2) The time can be extracted from previous results, which indicates that stone reaches its maximum height 2 seconds after being thrown.

4 0

3 years ago

Work out the value of (√7)²

Mumz [18]

Answer:

6.96 (ROUNDED ANSWER)

Step-by-step explanation:

SQUARE ROOT OF 4 = 2.64

2.64 ²=6.96

7 0

2 years ago

Read 2 more answers