Find the total surface area of the
following prism:
5 cm
5 cm
5 cm
5 cm
10 cm
5 cm
apothem = 3.6 cm
SA = [ ? ] cm2

Answer:

I guess it will be (D) 4/3=$4.41/x

Answer

The measurement of the missing sides are 4 cm on each side

Step-by-step explanation:

multiply 5 times 2 (5x2=10) take away the 10 and 18 and the answer for it is the answer for the whole thing.

Answer:

[tex]P(x<810)=0.5[/tex]

[tex]P(x<800) = 0[/tex]

[tex]P(x>808.40) = 0.58[/tex]

[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]

Step-by-step explanation:

Given:

[tex]F(x) = \left\{\begin{array}{ll}{0} &; {x&lt;800^{\circ} \mathrm{C}} \\ {0.05 x-40} &; {800^{\circ} \mathrm{C} \leq x&lt;820^{\circ} \mathrm{C}} \\ {1} &; {x&gt;820^{\circ} \mathrm{C}}\end{array}[/tex]

Solving (a): P(x < 810)

To solve this, we make use of:

[tex]P(x<810) = F(x) = 0.05x - 40[/tex]

Because

[tex]800^\circ C \le 810 \le 820^\circ C[/tex]

So:

[tex]F(x) = 0.05 * 810 -40[/tex]

[tex]F(x) = 40.5 -40[/tex]

[tex]F(x) = 0.5[/tex]

Hence:

[tex]P(x<810)=0.5[/tex]

Solving (b): P(x < 800)

To solve this, we make use of:

[tex]P(x<800) = F(x) = x[/tex]

Because:

[tex]x < 800^\circ C[/tex]

So:

[tex]P(x<800) = 0[/tex]

Solving (c): P(x > 808.40)

Here, we make use of complement rule:

[tex]P(x>808.40) = 1 - P(x \le 808.40)[/tex]

Where:

[tex]P(x\le808.40) = 0.05x - 40[/tex]

[tex]P(x\le808.40) = 0.05*808.40 - 40[/tex]

[tex]P(x\le808.40) = 0.42[/tex]

So:

[tex]P(x>808.40) = 1 - 0.42[/tex]

[tex]P(x>808.40) = 0.58[/tex]

Solving (d) The probability that the temperature lies outside 805.60 and 808.40

First, we calculate the probability that it lies within.

This is represented as:

[tex]P(805.40 < x < 808.40)[/tex]

This is calculated using:

[tex]P(805.40 < x < 808.40) = F(808.40) - F(805.40)[/tex]

[tex]P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)[/tex]

[tex]P(805.40 < x < 808.40) = 0.42 - (0.27)[/tex]

[tex]P(805.40 < x < 808.40) = 0.42 - 0.27[/tex]

[tex]P(805.40 < x < 808.40) = 0.15[/tex]

Using complement rule, the required probability is:

[tex]P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15[/tex]

[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]

Answer:

20 Sq cm

Step-by-step explanation:

Length of parallel sides are 7 cm and 3 cm and perpendicular height is 4 cm.

Area of trapezium

[tex] = \frac{1}{2} (7 + 3) \times 4 \\ \\ = 10 \times 2 \\ \\ = 20 \: {cm}^{2} [/tex]

Answer:

yes I am pretty sure that's correct

Answer:

ok

Step-by-step explanation:

Answer:

suppersize my fries...

Answer:

B 8 out of 43

Step-by-step explanation:

Answer:

8 out of 43

Step-by-step explanation:

There are 86 total chocolates

There are 16 taffy chocolates

So the current ratio is 16:86

You can divide it by 2 which gives you "8 out of 43"

Answer:

(6x2 - 5)(x2 + 2)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

9*6=63

9*8=72

6+8=14

Answer:

The slope is undefined because there is no change in x, making it a vertical line

Step-by-step explanation:

Answer:

13.5 hr.

Step-by-step explanation:

Let h = no. of hours

Total cost = 12 + 8h = 120

8h = 108

h = 13.5 hr.

Answer:

14[tex]p^{2}[/tex] + 14p

Step-by-step explanation:

to expand, multiply 2p with 7p which gives you 14p^2

then,

multiply 2p by 7 = 14p

Answer:

the picture is blurt can't see any thing sorry can't help

The answer is 3.5 inches for K12 test

All i did was see what coud make 49 feet.

since 1 inch = 14 feet then i did 3 x 14 which got 42.

I then just shuffled around numbers and got 3.5.

THE ANSWER IS 3.5

Very sorry if its wrong

Answer:

Step-by-step explanation:

Wheres the diagram??

Incomplete q

Answer:

A. [tex]\frac{4}{10}[/tex]

B. [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given - Box A contains 3 red and 2 blue marbles while Box B contains 2

            red and 8 blue marbles. A fair coin is tossed. If the coin turns up

            heads, a marble is chosen from Box A; if it turns up tails, a marble

            is chosen from Box B.

To find -  A. Find the probability that a red marble is chosen.

              B. Referring to above information, suppose that the person who

                  tosses the coin does not reveal whether it has turned up

                  heads or tails (so that the box from which a marble was

                  chosen is not revealed) but does reveal that a red marble was

                  chosen. What is the probability that Box A was chosen (i.e.,

                  the coin turned up heads)?

Proof -

As given ,

Box A : 3 red marbles and 2 blue marbles.

Box B : 2 red marbles and 8 blue marbles.

a.)

As we have to find the probability that a red marble is chosen.

A red marble is chosen in two different ways - either it can be from Box A or Box be .

If Box A is chosen , then Probability of red ball is [tex]\frac{3}{5}[/tex]

If Box B is chosen , Then Probability of Red ball is [tex]\frac{2}{10} = \frac{1}{5}[/tex]

Now,

Probability of Box A is Chosen = [tex]\frac{1}{2}[/tex]

Probability of Box B is chosen = [tex]\frac{1}{2}[/tex]

∴ we get

Probability that a Red marble is chosen =  [tex]\frac{1}{2}[/tex]×[tex]\frac{3}{5}[/tex] + [tex]\frac{1}{2}[/tex]×[tex]\frac{1}{5}[/tex] = [tex]\frac{3}{10} + \frac{1}{10} = \frac{4}{10}[/tex] = 0.4

b.)

Now,

Probability that Box A is chosen given that Red marble is chosen is

P(Box A | Red marble ) = [tex]\frac{(\frac{3}{5})(\frac{1}{2}) }{(\frac{3}{5})(\frac{1}{2}) + (\frac{1}{5})(\frac{1}{2})} = \frac{\frac{3}{10} }{\frac{3}{10} + \frac{1}{10} } = \frac{\frac{3}{10} }{\frac{4}{10}}[/tex] = [tex]\frac{3}{4}[/tex]

Answer:(c)

Step-by-step explanation:

Given

The initial value of Adam's model is [tex]A_o=\$550[/tex]

the value increases exponentially with the rate of [tex]r\%[/tex]

Time period [tex]t=5\ years[/tex]

Final amount [tex]A=\$736[/tex]

Exponential growth is given by

[tex]\Rightarrow A=A_o(1+r)^t[/tex]

Putting values

[tex]\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338[/tex]

[tex]\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%[/tex]

Option (c) is correct

The question is incomplete. Here is the complete question.

An employee's salary, S(n), in dollars, at a company is a function of the number of years, n, that the employee has worked at the company.

The relationship between n and S(n) is shown in the table below.

Which of the following equations represents an explicit formula for S(n)?

A. S(n) = 40,000(1.05)ⁿ

B. S(n) = 40,000 + 1.05n

C. S(n) = 40,000(1.05)ⁿ⁻¹

D. S(n) = 40,000 + 1.05(n-1)

Answer: A. S(n) = 40,000(1.05)ⁿ

Step-by-step explanation: The table shows an exponential function, which is, in general, is of the form:

[tex]S(n)=S_{0}r^{n}[/tex]

where

S₀ is the initial value

r is the rate the salary grows

n is the years the employee worked

From the table, in the first year, an employee receives $40,000, so, that is the initial value.

The salary increases at a constant rate of 1.05 per year, as shown below:

[tex]r=\frac{42,000}{40,000}=\frac{44,100}{42,000}=\frac{46,305}{44,100}[/tex]

r = 1.05

So, the rate the salary grows is r = 1.05 or 5%.

Therefore, the equation that shows an explicit formula for S(n) is [tex]S(n)=40,000(1.05)^{n}[/tex].

Answer:

=146628

Step-by-step explanation:

gracias por los puntos

Answer:

y=-(x+11)(x-23)

Step-by-step explanation:

y=-(x+11)(x-23)

use the x intercepts they give you, and make it the opposite i.e. if it positive, then make it negative if it is negative make it positive

i.e. -11 equals 11

thus (x+11)

then, the graph is concave down, so it is negative at the front

Answer:

-2

Step-by-step explanation:

since the parabola opens upwards, the minimum is at the vertex of the parabola and the maximum is infinity, because the lines of a parabola goes on forever

you look for the smallest x value for the parabola and since you can see that the vertex of the parabola lies on x=-2, the minimum value of the function is -2.

Hope that helps :)

Answer:

I'm pretty sure its 16/30 = 8/15

Step-by-step explanation:

I don't know what simplify expressions means, I do know how to convert decimals into fractions and multiply fractions so.

Answer:

70 degrees

Step-by-step explanation:

it’s a bit hard to explain

Answer:

Let the cost in Japan be m and that of Switzerland be n

n=13.35

Step-by-step explanation:

Answer:

B, 140

Step-by-step explanation:

Alright so if you know to do volume this should be a breeze!

First off what you want to do is find the volume of the outside prism.

V=whl=4·5·8=160

160

Then find the smaller prisms volume.

V=whl=1·5·4=20

20

Minus the smaller from the bigger

160-20=140

The answers B!