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3 years ago

Can some one please answer this question I'm stuck.

Mathematics

2 answers:

Ainat [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Mean = 6

so work backwards.

6 x 4 = 24

24 = total amount of all cards added together.

24 - 4 - 6 - 7 = 7

Butoxors [25]3 years ago

4 0

Answer:

the blank number is 7

Step-by-step explanation:

Mean : add all the numbers and divide by how many there is

4+7+6=17

we need to be able to divide it by 4 to make 6

6 x 4=24

so 4+7+6+x=24

24-17=7

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Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate

vichka [17]

Answer:

V'(4) = 48 mm³/mm

V'(4) means that the rate of change of volume with respect to side when the length of the side is 4 mm

Step-by-step explanation:

Data provided in the question

V is the volume of the cube with x as its sides

Also,

Volume of cube = side³

thus,

V = x³ mm³

Now,

Derivative of volume with respect to side x,

$\frac{\textup{dv}}{\textup{dx}}$ = $\frac{d(\textup{x}^3)}{\textup{dx}}$

$\frac{\textup{dv}}{\textup{dx}}$ = V'(x) = 3x²

now,

at x = 4 mm

V'(4) = 3(4)²

V'(4) = 48 mm³/mm

Here, V'(4) means that the rate of change of volume with respect to side when the length of the side is 4 mm

3 0

3 years ago

When you go swimming the pressure in your ears varies directly with the depth at which you swim. At 10 feet, the pressure is abo

Serjik [45]

Answer:

(a) $p = 0.43d$

(b) $p = 21.5$

Step-by-step explanation:

Given

Variation: Direct

Represent ear pressure with p and depth with d.

So, we have:

$p\ \alpha\ d$

$d =10$ when $p =4.3$

Solving (a): Write a variation

We have:

$p\ \alpha\ d$

Write as an equation

$p = kd$

Where: k is the constant of variation

$d =10$ when $p =4.3$

So, we have:

$4.3 = k * 10$

Make k the subject

$k = \frac{4.3}{10}$

$k = 0.43$

Substitute 0.43 for k in $p = kd$

$p = 0.43d$

Solving (b): Pressure at 50 feet

Substitute 50 for d in $p = 0.43d$

$p = 0.43 * 50$

$p = 21.5$

The pressure is 21.5 pounds per square

Solving (c): The safe depth

The safe depth stops at a pressure of 65psi.

Substitute 65 for p in $p = 0.43d$

$65 = 0.43 * d$

Make d the subject

$d = \frac{65}{0.43}$

$d = 151.162790698$

$d = 151.163$ -- approximated

<em>The safe distance for an amateur is 151.163ft</em>

8 0

3 years ago

Solve

hammer [34]

$8 {x}^{2} + 5 = 35$
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$x = ( \sqrt{3.75} ) \: \: \: \: \: x = - ( \sqrt{3.75} )$
$x = 1.94 \: \: \: \: x = - 1.94$

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3 years ago

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Answer:

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3 years ago

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Ivanshal [37]

Answer:

See the diagram.

Step-by-step explanation:

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4 years ago