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marishachu [46]
4 years ago
14

A cosine function is graphed below. Use the drop-down menus to describe the graph. The amplitude of the graph is __ . The equati

on of the midline is __ . The period of the function is __ . The function is shifted __ left. The function is shifted __ units up.

Mathematics
2 answers:
Tresset [83]4 years ago
4 0

Amplitude:4

Equation of Midline: 2

Period of function:3

Function shifted left:0.5

Function shifted up: 2

zlopas [31]4 years ago
3 0

4,2,3,0.5,2

Step-by-step explanation:

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The production cost for a t-shirt printing company is a function of the number of t-shirts that are printed, t. The function tha
uranmaximum [27]

Answer:

Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.

Step-by-step explanation:

Given that,

The function that models the production cost is

f(t)=0.1 t^2-6t+100

To find the number of t-shirt, we put f(t)=40 in given function.

∴40= 0.1t²-6t+100

⇒ 0.1t²-6t+100-40=0

⇒0.1 t²- 6t +60=0

⇒t²-60t+600=0

Applying quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, a=1, b= - 60 and c=600

t=\frac{-(-60)\pm\sqrt{(-60)^2-4.1.600}}{2.1}

  = 47.32,12.67

 ≈47, 12

Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.

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4 years ago
(a) Reuben runs 12 miles in 96 minutes.
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Answer:

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A bicycle is originally priced at $80 . The store owner gives a discount and the bicycle is now priced at $60 . Enter the percen
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8 0
3 years ago
Use the Side, Side, Side Rule (SSS) to prove that the triangles in each pair are congruent. Draw hash marks to show the congruen
weeeeeb [17]

Answer:

(1) ΔMAN ≅ ΔBOY

(2) ΔMAT ≅ ΔRUG

(3) ΔEBN ≅ ΔUHR

(4) ΔTOP ≅ ΔLID

(5) ΔCAT ≅ ΔDOG

(6) ΔITP ≅ ΔLOH

Step-by-step explanation:

The following combinations of the congruent triangle facts will be sufficient to prove triangles congruent.

The combinations are:

(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.

(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.

(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.

(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.

Part (1):

As we are given two triangles.

Side AM = Side OB

Side MN = Side BY

Side AN = Side OY

That means,

ΔMAN ≅ ΔBOY

Part (2):

As we are given two triangles.

Side MA = Side RU

Side MT = Side RG

Side AT = Side UG

That means,

ΔMAT ≅ ΔRUG

Part (3):

As we are given two triangles.

Side EB = Side UH

Side BN = Side HR

Side NE = Side RU

That means,

ΔEBN ≅ ΔUHR

Part (4):

As we are given two triangles.

Side OT = Side IL

Side OP = Side ID

Side PT = Side DL

That means,

ΔTOP ≅ ΔLID

Part (5):

As we are given two triangles.

Side AC = Side OD

Side AT = Side OG

Side TC = Side GD

That means,

ΔCAT ≅ ΔDOG

Part (6):

As we are given two triangles.

Side TP = Side OH

Side IT = Side LO

Side IP = Side LH

That means,

ΔITP ≅ ΔLOH

6 0
3 years ago
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