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3 years ago

How much can 14 go into 16

Mathematics

1 answer:

Fantom [35]3 years ago

4 0

Once, 14 divided by 16 equals 1 with a remainder of 2

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Find an expression which represents the difference when (-5x-y) is subtracted from (9x+2y) in simplest terms.

AnnyKZ [126]

Answer:

4x+y add like terms ... -5+9=4 and -y(or -1)+2y=y

4 0

2 years ago

3 people can deliver 1000 letters in 30 minutes.

Studentka2010 [4]

Answer: It would take 1 hour and 30 minutes for one people do it.

If 5 people do it would take less time. If there are 5 people delivering the letters it would take them 12 minutes ti deliver all 1,000 letters.

6 0

2 years ago

Find the tangent plane to the given surface of f(x,y)=6- 6/5 x-y at the point (5, -1, 1). Make sure tat your final answer for th

HACTEHA [7]

Answer:

Required equation of tangent plane is $z=\frac{6}{5}(x-5y-11)$ .

Step-by-step explanation:

Given surface function is,

$f(x,y)=6-\frac{6}{5}(x-y)$

To find tangent plane at the point (5,-1,1).

We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

$z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)$

So that,

$f(x_0,y_0)=6-\frac{6}{5}(5+1)=-\frac{6}{5}$

$f_x=-\frac{6}{5}y\implies f_x(5,-1,1)=\frac{6}{5}$

$f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6$

Substitute all these values in (1) we get,

$z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}$

$\therefore z=\frac{6}{5}(x-5y-11)$

Which is the required euation of tangent plane.

4 0

3 years ago

Consider a group of 1,000 newborn infants. One hundred (100) infants were born with serious birth defects, and 20 of these 100 d

kozerog [31]

Answer:

The prevalence of serious defects in this population at the time of birth is 10%.

Step-by-step explanation:

The prevalence of serious defects is the number of infants that were born with seriours birth defects divided by the total number of infants born.

In this problem, we have that:

There were 1000 newborn infants.

100 infants were born with serious birth defects.

Calculate the prevalence of serious defects in this population at the time of birth.

This is:

$P = \frac{10}{100} = 0.1$

The prevalence of serious defects in this population at the time of birth is 10%.

8 0

2 years ago

The graph of y=x^2 was transformed to Y= -(x+3)^2 +5. Describe all transformations applied to the original function and determin

mina [271]

Hey there!

1. The graph was flipped vertically and now opens downward.

We know this because there is a negative sign in front of the equation:

$y=$ $\boxed-$ $(x+3)^2+5$

2. The graph was moved 3 units to the left.

We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.

$y=-(x\boxed{+3})^2+5$

3. The graph was moved 5 units up.

We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.

$y=-(x+3)^2\boxed{+5}$

Hope this helps!

3 0

3 years ago