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3 years ago

Evaluate ddtr(g(t)) using the Chain Rule:r(t)=⟨⟩

Mathematics

1 answer:

iren [92.7K]3 years ago

4 0

$\frac{d}{dt} r(g(t))=$

Given: $r(t)=$ and $g(t)=4t+4$

To Find: $\frac{d}{dt} r(g(t))$

Solution:

Since, r(t) is composite function of g(t)

So, $r(g(t))=$

Thus, $\frac{d}{dt} r(g(t))=$

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https://brainly.in/question/40055973

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The original price of a camera is $150. If a discount of 30% is given, what is the discounted price of the camera?

MArishka [77]

So, 30% is 0.30, but since you are taking off 30%, you are going to have 70% of the price which is 0.70. The word "of" lets you know that you are going to multiply. So, what you do is 150•0.70=105. The discounted price is $105

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3 years ago

Read 2 more answers

What is the shape of the graph of the function?<br> g(x)= 3/2 (2/3) ^x

Andrew [12]

Answer:

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

Given the function

$g\left(x\right)=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x$

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in the fuction

$y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x$

$y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^0$

Apply rule: $a^0=1,\:a\ne \:0$

$y=1\cdot \frac{3}{2}$

$y=\frac{3}{2}$

$y = 1.5$

Therefore, the point representing the y-intercept is:

(0, 1.5)

Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

substituting y = 0 in the function

$0=\frac{3}{2}\left(\frac{2}{3}\right)^x$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$\left(\frac{2}{3}\right)^x=0$

We know that $a^{f\left(x\right)}$ can not be zero or negative for x ∈ R

Thus, NONE represents the x-intercept.

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

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3 years ago

The bisectors of a parallelogram form a

lapo4ka [179]

Answer:

The angle bisectors of a parallelogram form a rectangle.

Step-by-step explanation:

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3 years ago

A triangle has side lengths of ( 4h + 2k) centimeters, (9h + 4m) centimeters, and (2m - k) centimeters. Which expression represe

enot [183]

Answer:

P = (13h+k+6m) cm

Step-by-step explanation:

Given that,

The side lengths of a triangle are :

(4h + 2k) cm, (9h + 4m) cm, and (2m - k) cm

We need to find the perimeter of the triangle.

We know that,

Perimeter = sum of all sides

So,

P = (4h + 2k)+(9h + 4m)+(2m - k)

= (4h+9h)+(2k-k)+(4m+2m)

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Hence, the perimeter of the triangle is (13h+k+6m) cm.

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3 years ago

a rectangular parking lot has a length that is 15 yards greater than the width. the area of the parking lot is 450 square yards.

ivolga24 [154]

L = 15 + W
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length = 30 yards and width = 15 yards.

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3 years ago