All categories

3 years ago

Will give brainliest for correct answer

Mathematics

1 answer:

Romashka [77]3 years ago

6 0

Answer:

A. 240/7

Step-by-step explanation:

10^4x/24 * 10^3x/24 = 10^10

10^7x/24 = 10^10

7x/24 = 10

x = 240/7

You might be interested in

(a) Find the equation of the normal to the hyperbola x = 4t, y = 4/t at the point (8,2).

gtnhenbr [62]

The slope of the tangent line to the curve at (8, 2) is given by the derivative $\frac{dy}{dx}$ at that point. By the chain rule,

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

Differentiate the given parametric equations with respect to $t$ :

$x = 4t \implies \dfrac{dx}{dt} = 4$

$y = \dfrac4t \implies \dfrac{dy}{dt} = -\dfrac4{t^2}$

Then

$\dfrac{dy}{dx} = \dfrac{-\frac4{t^2}}4 = -\dfrac1{t^2}$

We have $x=8$ and $y=2$ when $t=2$ , so the slope at the given point is $\frac{dy}{dx} = -\frac14$ .

The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation

$y - 2 = 4 (x - 8) \implies \boxed{y = 4x - 30}$

Alternatively, we can eliminate the parameter and express $y$ explicitly in terms of $x$ :

$x = 4t \implies t = \dfrac x4 \implies y = \dfrac4t = \dfrac4{\frac x4} = \dfrac{16}x$

Then the slope of the tangent line is

$\dfrac{dy}{dx} = -\dfrac{16}{x^2}$

At $x = 8$ , the slope is again $-\frac{16}{64}=-\frac14$ , so the normal has slope +4, and so on.

5 0

2 years ago

Make 28 with 2, 3, 6, and 8

Artemon [7]

8*3+6-2

8*3=24

24+6=30

30-2=28

8*3+6-2=28

8 0

3 years ago

A music industry researcher wants to estimate, with a 90% confidence level, the proportion of young urban people (ages 21 to 35

katrin2010 [14]

Answer:

21378

Step-by-step explanation:

The confidence level is 90%, which gives us a Z of 1.645.

Our equation is (Z^2*p*q)/e^2

(1.645^2*p*(1-.21))/ (.01^2)

E is the error proportion, .01

Q is 1-p or the proportion

P is the pop you need

With this, we can solve

and get p = 21377.5975 and rounded to 21378

5 0

3 years ago

The perimeter of a rectangle is 160cm. The rectangle is 4 times longer then wide . What are the length and width of this rectang

tamaranim1 [39]

Answer:

Length = 64 cm , width =16 cm

Step-by-step explanation:

Given Perimeter = 160

Let width = x

Length = 4x

Hence perimeter =2 (length) +2 ( width)

160 = 2(4x)+2(x)

160 = 8x + 2x

160 = 10x

160/10 =x

16 = x

Hence width = 16 cm

Put the value of x in 4x

Length= 4(16)

Length =64 cm

Hence length = 64 cm, width =16 cm

7 0

4 years ago

Read 2 more answers

The mean weight of frozen yogurt cups in an ice cream parlor is 8 oz.Suppose the weight of each cup served is normally distribut

vaieri [72.5K]

Answer:

10.03% probability of getting a cup weighing more than 8.64oz

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 8, \sigma = 0.5$