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Aleonysh [2.5K]
2 years ago
14

I need help can u help me please and thanks

Mathematics
1 answer:
son4ous [18]2 years ago
3 0

Answer:

  17.74

Step-by-step explanation:

The fraction is easily converted to one with a denominator of 100 (a power of 10):

  \dfrac{37}{50}=\dfrac{37\cdot 2}{50\cdot 2}=\dfrac{74}{100}=0.74

Then the number of interest is ...

  17 37/50 = 17 74/100 = 17.74

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Solve eight and two fourths minus three and one third
soldier1979 [14.2K]

Answer:

5 1/6

Step-by-step explanation:

Rewriting our equation with parts separated

=8+2/4−3−1/3

Solving the whole number parts

8−3=5

Solving the fraction parts

2/4−1/3=?

Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.

LCD = 12

6/12−4/12=2/12

Reducing the fraction part, 2/12,

2/12=1/6

Combining the whole and fraction parts

5+1/6=5 1/6

3 0
2 years ago
At the parents evening the ratio of mums to dads was 3:2. Out of 500 appointments how many were with mums?
guajiro [1.7K]

Answer:

300

Step-by-step explanation:

Sum the parts of the ratio : 3 + 2 = 5 parts

Divide the number of appointments by 5 to find the value of one part of the ratio, that is

\frac{500}{5} = 100 ← value of 1 part of the ratio

The mums consisted of 3 parts, hence

3 × 100 = 300 ← appointments with mums

3 0
3 years ago
A student was asked to find the equation of the tangent plane to the surface z=x3−y4 at the point (x,y)=(1,3). The student's ans
aliya0001 [1]

Answer:

C) The partial derivatives were not evaluated a the point.

D) The answer is not a linear function.

The correct equation for the tangent plane is z = 241 + 3 x - 108 y or  3x-108y-z+241 = 0

Step-by-step explanation:

The equation of the tangent plane to a surface given by the function S=f(x, y) in a given point (x_0, y_0, z_0) can be obtained using:

z-z_0=f_x(x_0,y_0,z_0)(x-x_0)+f_y(x_0,y_0, z_0)(y-y_0)   (1)

where f_x(x_0, y_0, z_0) and f_y(x_0, y_0, z_0) are the partial derivatives of f(x,y) with respect to x and y respectively and evaluated at the point (x_0, y_0, z_0).

Therefore we need to find two missing inputs in our problem in order to use equation (1). The z_0 coordinate and the partial derivatives f_x(x_0, y_0, z_0) and f_y(x_0, y_0, z_0). For z_0 just evaluating in the given function we obtain z_0= -80 and the partial derivatives are:

\frac{\partial f(x,y)}{\partial x} \equiv f_x(x, y)= 3x^2 \\f_x(x_0, y_0) = f_x(1, 3) = 3

\frac{\partial f(x,y)}{\partial y} \equiv f_y(x, y)= -4y^3 \\f_y(x_0, y_0) = f_y(1, 3) = -108

Now, substituting in (1)

z-z_0=f_x(x_0,y_0,z_0)(x-x_0)+f_y(x_0,y_0, z_0)(y-y_0)\\z + 80 = 3x^2(x-1) - 4y^3(y-3)\\z = -80 + 3x^2(x-1) - 4y^3(y-3)

Notice that until this point, we obtain the same equation as the student, however, we have not evaluated the partial derivatives and therefore this is not the equation of the plane and this is not a linear function because it contains the terms (x^3 and y^4)

For finding the right equation of the tangent plane, let's substitute the values of the partial derivatives evaluated at the given point:

z = -80 + 3x^2(x-1) - 4y^3(y-3)\\z = -80 +3(x-1)-108(y-3)\\z = 241 + 3 x - 108 y

or 3x-108y-z+241 = 0

7 0
3 years ago
Quadratic functions. Linear, exponential, or a new kind of function? E and f?
vovangra [49]

e.

5^0 = 1; 5^1 = 5; 5^2 = 25; 5^(-1) = 1/5; 5^(-2) = 1/25

This is an exponential function since the exponent is a variable.

Function: f(x) = 5^x

Recursive: a_n = 5a_{n-1}

f.

Look at f(x) = x^2 for x = -2, -1, 0, 1, 2

f(-2) = 4

f(-1) = 1

f(0) = 0

f(1) = 1

f(2) = 2

Now look at the y-values in the table. They are the same we have here added to 5.

Your function is a quadratic function.

f(x) = x^2 + 5

4 0
3 years ago
You use math in day-to-day routines when grocery shopping, going to the bank or mall, and while cooking. How do you imagine you
WITCHER [35]

Answer:

Use math in healthcare career: In healthcare career one must translate medication orders into the right doses and number of pills to administer.

Step-by-step explanation:

Consider the provided information.

Math in healthcare career play significant role one should must know the units of the measurement for temperature, blood pressure, pulse rate, breathing rate etc.

In healthcare career one must translate medication orders into the right doses and number of pills to administer.

For example, If a doctor recommends a 100 gram of a drug every 6 hours and the hospital has 50 milligram pills, then you need to give two pills every 6 hours. Because 50 milligram times 2 is 100 milligram.

8 0
3 years ago
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