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4 years ago

Can someone help me with a problem?

Mathematics

1 answer:

Kobotan [32]4 years ago

5 0

Answer:

Step-by-step explanation:

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30% of 60 is what number?<br> A. 15<br> B. 30<br> C. 18<br> D. 40

Dmitriy789 [7]

Answer:

Step-by-step explanation:

30x60=1800

1800/100=18

6 0

3 years ago

Read 2 more answers

Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e

svet-max [94.6K]

ANSWER

$y = 2x -4$

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

$x = 5 + ln(t)$

$y = {t}^{2} + 5$

From the first equation we make t the subject to get;

$x - 5 = ln(t)$

$t = {e}^{x - 5}$

We put it into the second equation.

$y = { ({e}^{x - 5}) }^{2} + 5$

$y = { ({e}^{2(x - 5)}) } + 5$

We differentiate to get;

$\frac{dy}{dx} = 2 {e}^{2(x - 5)}$

At x=5,

$\frac{dy}{dx} = 2 {e}^{2(5 - 5)}$

$\frac{dy}{dx} = 2 {e}^{0} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5)$

$y = 2x - 10 + 6$

$y = 2x -4$

Without eliminating the parameter,

$\frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }$

$\frac{dy}{dx} = \frac{ 2t}{ \frac{1}{t} }$

$\frac{dy}{dx} = 2 {t}^{2}$

At x=5,

$5 = 5 + ln(t)$

$ln(t) = 0$

$t = {e}^{0} = 1$

This implies that,

$\frac{dy}{dx} = 2 {(1)}^{2} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5) =$

$y = 2x -4$

5 0

4 years ago

What is 4 1/2 + 4 1/4

ElenaW [278]

Answer:

Step-by-step explanation:

4 1/2 + 4 1/4 = 8 3/4

3 0

3 years ago

A segment of length 94 cm has been rotated d degrees around a center 0. What is the length of the rotated segment? How do you kn

Gekata [30.6K]

Answer:

Length of rotated segment = 94 cm

Step-by-step explanation:

Rotation is transformation of a figure or a segment about a center which rotates the figure or segment about the center with the angle of rotation.

Rotation is that type of transformation in which the image and pre-image are congruent. This means that rotation has no effect on shape and size of figure or segment and thus, the shape and size of the figure or segment remains same after rotation.

It is given that a segment of length 94 cm is rotated $d$ degrees around a center $O$ .

The rotation will have no effect on size of the segment as stated above.

Thus, the segment after rotation will still measure 94 cm.

8 0

4 years ago

Terrence took a total of 63 quizzes over the course of 7 weeks. After attending 10 weeks of school this quarter, how many quizze

Ulleksa [173]

Answer:

90 quizzes

Step-by-step explanation:

In 7 weeks, 63 quizzes

In 10 weeks, x quizzes

Making a proportion,

7/10 = 63/x

Cross multiplying,

7x = 630

Dividing by 7 on both sides,

x = 90 quizzes

3 0

3 years ago