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Gnom [1K]
3 years ago
8

Ind the missing term in the following geometric sequence. 4, __, 500

Mathematics
2 answers:
Lelu [443]3 years ago
8 0
The answer is 4, 20, 100, 500.
Leno4ka [110]3 years ago
8 0

Answer:

4 100 200 500

Step-by-step explanation:

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It takes Maya 30 minutes to solve 5 logic puzzles. At this rate, how many logic puzzles does she solve in 1 hour 30 minutes?
denis23 [38]

30 minutes = 5 puzzles

60 minutes = 10 puzzles

90 minutes = 15 puzzles

She will solve 15 puzzles in an hour and 30 minutes

4 0
3 years ago
Read 2 more answers
Jessica is eating a bag of sour skittles . Her friend ask her to share, and Jessica throws over an extra bag. Her friend does no
liraira [26]

Answer:

A parabola opens downward with vertex at (1,20)

Step-by-step explanation:

The function that models the height of bag of candies is

h(t) =  - 16 {t}^{2}  + 32t + 4

The graph of this function is a parabola that opens downward.

To find the maximum height of the candy bag, we complete the squares to obtain the vertex form of the function.

Factor -16 to get;

h(t) =  - 16( {t}^{2}  - 2t) + 4

Add and subtract the square of half the coefficient of t.

h(t) =  - 16( {t}^{2}  - 2t + 1)  + 16+ 4

Factor the perfect square trinomial:

h(t) =  - 16( {t - 1)}^{2}  + 20

The vertex is (1,20)

This means the maximum height after 1 second is 20 feet.

7 0
3 years ago
Write a quadratic equation in standard form that has 5 3 and 7 3 as its roots. A) 9x2 − 36x + 35 = 0 B) 9x2 + 36x − 35 = 0 C) 9x
Serggg [28]

Answer:

Option A)

9x^2 - 36x + 35 = 0

Step-by-step explanation:

We are given the following in the question:

Roots of quadratic equation are:

\alpha = \dfrac{5}{3}, \beta = \dfrac{7}{3}

The sum of the roots and the product of the roots can be calculated as:

\alpha + \beta = \dfrac{5+7}{3} = 4\\\\\alpha\beta = \dfrac{5}{3}\times \dfrac{7}{3} = \dfrac{5}{9}

Standard form of quadratic equation:

x^2-(\alpha + \beta)x+\alpha\beta = 0

Putting values, we get,

x^2 - 4x + \dfrac{35}{9} = 0\\\\9x^2 - 36x + 35 = 0

is the required quadratic equation.

Thus, the correct answer is

Option A)

9x^2 - 36x + 35 = 0

5 0
3 years ago
What is the length of GH? ______cm
Daniel [21]
Area of a rectangle = Length * Width
Area = 60cm^2
Length = 4
Width = GH = ? = x

60 = 4*x
solve for x
60/4 = x
x = 15

GH is 15cm
3 0
3 years ago
What is the value of x and the length of the segment?
Paha777 [63]

Answer:

x=14

PN=MN=85

Step-by-step explanation:

It is an isosceles triangle because PQ=MQ and QN is perpendicular to PM. PN=MN

8x-27=6x+1

2x=28

x=14

PN=MN=85

4 0
2 years ago
Read 2 more answers
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