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3 years ago

14

Which of the following graphs best represents f(x) = −2 sin(4x) + 3?

1 answer:

Artist 52 [7]3 years ago

3 0

The graph for f(x) = sin x <span>is a sinusoidal graph.

</span>f(x) = 2 sin 4x
has an amplitude of 2 or the highest point is 2 and a period of
Period = 3π/4 = π/3
f(x) = 2 sin 4x + 3
<span>the graph is shifted 3 points upward. </span>

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If M is the centroid of triangle GHI, HL=45, JI=63, and KG=60, find the missing measures

AysviL [449]

Answer:

Part a) $ML=15\ units$

Part b) $HM=30\ units$

Part c) $JM=21\ units$

Part d) $MI=42\ units$

Part e) $GM=40\ units$

Part f) $MK=20\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

A <u><em>centroid</em></u> of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

The centroid is located two thirds of the distance from any vertex of the triangle

Part a) Find ML

we have

$HL=45\ units$

we know that

$ML=\frac{1}{3}HL$

substitute the given value

$ML=\frac{1}{3}(45)$

$ML=15\ units$

Part b) Find HM

we have

$HL=45\ units$

we know that

$HM=\frac{2}{3}HL$

substitute the given value

$HM=\frac{2}{3}(45)$

$HM=30\ units$

Part c) Find JM

we have

$JI=63\ units$

we know that

$JM=\frac{1}{3}JI$

substitute the given value

$JM=\frac{1}{3}(63)$

$JM=21\ units$

Part d) Find MI

we have

$JI=63\ units$

we know that

$MI=\frac{2}{3}JI$

substitute the given value

$MI=\frac{2}{3}(63)$

$MI=42\ units$

Part e) Find GM

we have

$KG=60\ units$

we know that

$GM=\frac{2}{3}KG$

substitute the given value

$GM=\frac{2}{3}(60)$

$GM=40\ units$

Part f) Find MK

we have

$KG=60\ units$

we know that

$MK=\frac{1}{3}KG$

substitute the given value

$MK=\frac{1}{3}(60)$

$MK=20\ units$

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A rectangular prism with a square base is cut from the center of a triangular prism. Each side of the square base measures 1.7 u

anzhelika [568]

Answer:

45.4

Step-by-step explanation:

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3 years ago

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Write an explicit rule for the geometric sequence (answers down below) :

den301095 [7]

Answer:

Correct answer is third from the top an = 27 · (1/3)∧(n-1)

Step-by-step explanation:

Given geometric sequence : 27, 9, 3, 1,....

First term a1= 27, second term a2= 9, third term a3= 3 etc...

Standard form of the n-th term is

an = a1 · q∧(n-1)

We will find quotient when we divide second term with first and third with second

q = a2/a1 = a3/a2 = 9/27 = 3/9 = 1/3

Formula fot n-th term is

an = 27 · (1/3)∧(n-1)

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A basketball has a volume of 23047 cm

Elodia [21]

Answer:

17.65693585 = r

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

23047 = 4/3 (3.14) r^3

23047 = 4.1866666666 r^3

Divide by 4.186666 on each side

23047/4.18666666 = 4.1866666666/4.18666666 *r^3

5504.856688 = r^3

Take the cubed root on each side

(5504.856688)^1/3 = r^3^(1/3)

17.65693585 = r

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A box has dimensions of 11 inches long, 4.4 feet wide, and 6 inches high. What is the volume of the box? The formula for the vol

xxMikexx [17]

Answer:

3484.8 in inches

Step-by-step explanation:

turn feet to inches and multiply all values

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2 years ago

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