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3 years ago

What does this mean.

Mathematics

1 answer:

Trava [24]3 years ago

6 0

for instance leat a e A' means let a be an element of A

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Find the equation of the line with slope 6 which goes through the point (8,1).

Olin [163]

Wouldn’t it be 1=6(8)+b

3 0

3 years ago

Noah says that 9x − 2x + 4x is equivalent to 3x because the subtraction sign tells us to subtract everything that comes after 9x

Genrish500 [490]

Answer:

Noah's claim is correct

Step-by-step explanation:

B O D M A S - Brackets, Over, Division, Multiplication, Addition and Subtraction, this means that you must do the addition first.

2x+ 4x = 6x

9x - 6x = 3x

Noah is correct as the - sign tells us that you have to subtract everything after the 9x

Hope this is ok and helps a little bit

5 0

3 years ago

A closed-top cylindrical container is to have a volume of 250 in2. 250 , in squared , . What dimensions (radius and height) will

miv72 [106K]

Answer:

radius r = 3.414 in

height h = 6.8275 in

Step-by-step explanation:

From the information given:

The volume V of a closed cylindrical container with its surface area can be expressed as follows:

$V = \pi r^2 h$

$S = 2 \pi rh + 2 \pi r^2$

Given that Volume V = 250 in²

Then;

$\pi r^2h = 250 \\ \\ h = \dfrac{250}{\pi r^2}$

We also know that the cylinder contains top and bottom circle and the area is equal to πr²,

Hence, if we incorporate these areas in the total area of the cylinder.

Then;

$S = 2\pi r h + 2 \pi r ^2$

$S = 2\pi r (\dfrac{250}{\pi r^2}) + 2 \pi r ^2$

$S = \dfrac{500}{r} + 2 \pi r ^2$

To find the minimum by determining the radius at which the surface by using the first-order derivative.

$S' = 0$

$- \dfrac{500}{r^2} + 4 \pi r = 0$

$r^3 = \dfrac{500 }{4 \pi}$

$r^3 = 39.789$

$r =\sqrt[3]{39.789}$

r = 3.414 in

Using the second-order derivative of S to determine the area is maximum or minimum at the radius, we have:

$S'' = - \dfrac{500(-2)}{r^3}+ 4 \pi$

$S'' = \dfrac{1000}{r^3}+ 4 \pi$

Thus, the minimum surface area will be used because the second-derivative shows that the area function is higher than zero.

Thus, from $h = \dfrac{250}{\pi r^2}$

$h = \dfrac{250}{\pi (3.414) ^2}$

h = 6.8275 in

7 0

3 years ago

Need the answer asap!!!<br>Exeter points!!!

lozanna [386]

Answer:

maybe 149 cell phone chargers or 219 cell phone chargers

Step-by-step explanation:

4 0

3 years ago

Write an equation for the exponential function represented in the graph below.

oee [108]

Answer:

$y=4(2^x)$

Step-by-step explanation:

we know that

The exponential function is of the form

$y=a(b^x)$

where

a is the initial value or y-intercept

b is the base or factor growth

r is the rate of change

In this problem we have

looking at the graph

Is a exponential growth function (as the value of x increases the value of y increases)

$b > 1$

The y-intercept is the point (0,4)

$a=4$

substitute

$y=4(b^x)$

From the graph take the point (1,8)

substitute in the exponential function and solve for b

$8=4(b^1)\\b=8/4\\b=2$

therefore

The exponential function is equal to

$y=4(2^x)$

8 0

3 years ago

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