Roll one-8 sided die 10 times. The probability of getting exactly 3 sevens in those 10 rolls is given by .

Answer:

Below.

Step-by-step explanation:

0.04x20 =0.8 or 80 percent.

80 percent of six thousand is 4800+6000 = 10,800

Answer:

Total saving is $ 108,000

Step-by-step explanation:

Data :

     Saving =  $60,000

      Interest = 4%

    Time = 20 years

First we need to find 4% of 60000

        (60000×4)÷100 = 2400

Total interest   2400×20 =48000

Now add saving and total interest

      60000 + 48000 = 108000

Answer:

Twelve and one fourth feet

Step-by-step explanation:

9 and 3/4 feet =9.75

2 and 2/4 feet =2.50

9.75 + 2.50

= 12.25/12 and 1/4 feet

Answer:

Hmm, that's a tough one. I think it's 19.  I'm not sure though.

Answer:

19

Step-by-step explanation:

It would cost N125.00 to furnish a square room of 5m at N5.00 per square meter.

A square meter is a unit of measurement that denotes the surface area of a two-dimensional object or surface that is one metre long and one meter broad. It is frequently used to determine the dimensions of rooms, structures, and other areas as well as the surface area of land or other objects. The imperial method of measurement converts one square metre into 10.764 square feet. Science, engineering, and other fields frequently utilise the square metre, a core unit of the International System of Units (SI).

The area of the room is:

Area = 5m x 5m = 25 square meters

Then, we multiply the area by the cost per square meter:

Cost = 25 square meters x N5.00 per square meter = N125.00

Hence, it would cost N125.00 to furnish a square room of 5m at N5.00 per square meter.

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Answer:

7,5

........................

The correct option is D because is the only one that represents a dilatation, cause a and b represents translations and c represents a contraction.

Answer:

-5.87,-33,0.5,17/25

Answer:

-33, -5.87, 0.5, 17/25.

Step-by-step explanation:

Thanks for the points!

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

The blanks that are missing in the sequence are -3 and 11

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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The power expression 1 / 5⁸ is the simplified form by algebra properties of (5⁻⁴)².

In this problem we find a power expression that must simplified by means of algebra properties. First, write the entire expression introduced in the statement:

(5⁻⁴)²

Second, use the property for the power of a power:

5⁻⁸

Third, use the property for the power of a power once again:

(5⁸)⁻¹

Fourth, apply the definition of a division:

1 / 5⁸

The simplified form of (5⁻⁴)² is equal to 1 / 5⁸.

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Answer:

c and d

Step-by-step explanation:

Answer:

\(y = 32 - \frac{1}{2}x\)

Step-by-step explanation:

Given

\(Cups = 32\) ---- not 52

\(Students = x\)

\(Remainder = y\)

\(Each = \frac{1}{2}\) --- not z

Required

The equation for y

The remainder y is calculated as:

\(y = Cups - Students * Each\\\)

\(y = 32 - \frac{1}{2}x\)

It is to be noted that the ONLY option that the customer can select from when purchasing the product is  "(M2, C2, A3)" Option C.

The above exercise is a test of logic, as it is with a simple calculation.

The study of formal logic within mathematics is known as mathematical logic. Mathematical logic research frequently focuses on the mathematical aspects of formal logic systems, such as their expressive or deductive capability.

Hence, from the above, we can see that:

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Full Question:

Apple has created a new i-Pad. There are 4 choices for memory size (M), 8 choices for color (C) and 3 apps (A) to select when you purchase the product. From the options below what is the ONLY option the customer can select?

(M1, C2, A4)

(M1, C9, A3)

(M2, C2, A3)

(M4, C2, A8)

Here are the steps to simplify the expression \(\sf\:5x\sqrt{3x} - 2x\sqrt{3x} - x\sqrt{3x} \\\):

1. Combine like terms that have the same radical term \(\sf\:\sqrt{3x} \\\):

\(\sf\:(5x - 2x - x)\sqrt{3x} \\\)

2. Simplify the coefficients:

\(\sf\:2x\sqrt{3x} \\\)

Therefore, \(\sf\:5x\sqrt{3x} - 2x\sqrt{3x} - x\sqrt{3x}\) simplifies to \(\sf 2x\sqrt{3x} \\\).

Answer:

Volume of square pyramid is 3466.6 cm³

Step-by-step explanation:

We are given:

Base edge of square pyramid = 20 cm

Height of square pyramid = 26 cm

We need to find Volume of square pyramid

The formula used is: \(Volume=\frac{1}{3}a^2h\)

Where a is base edge and h is height of pyramid

Putting values in formula to find the volume

\(Volume=\frac{1}{3}a^2h\\Volume=\frac{1}{3}(20)^2(26)\\Volume=\frac{1}{3}(400)(26)\\Volume=\frac{1}{3}(10400)\\Volume=3466.6 \ cm^3\)

So, Volume of square pyramid is 3466.6 cm³

Answer:

3200

__________________________

the answer is 3200 NOT 3466.6

__________________________

THE HEIGHT OF THE PYRAMID: 24

The Explanation for height :

the height, half of one side of the square base, and the slant height form a right triangle

using the Pythagorean Theorem...

262=102+h2 (the slant height is the hypotenuse)

676=100+h2

676-100=h2

576=h2

√576=h

h=24 feet is the height of the pyramid

Step-by-step explanation:

v = ( \(\frac{1}{3}\) ) · b · h

( \(\frac{1}{3}\) ) ( 20 · 20 ) ( 24 )

( \(\frac{1}{3}\) ) ( 400 ) · ( 24 ) = 3200cm³

use symbolab.com for these sort of problems :)

Answer:

17t+6q-6

Step-by-step explanation:

18t -t +6q-6​

Combine like terms

17t+6q-6

Answer:

17t+6q-6

Step-by-step explanation:

18t-t =17t

others don't change as they are not the factors of the same character

Answer:

slope = 1/3

Step-by-step explanation:

9x-3y=81

-9x       -9x

3y/3= -9x + 81/3

y = -3x +27

is perpendicular to...

y = 1/3x + 27

Answer:

a) 15yd

b)2.45ft

Step-by-step explanation:

P = perimeter, l=length and w = width of the rectangle

P = 2l+2w

a) 40 = 2l+2(5)

40 = 2l+10

30=2l

15=l

b) 18.4 = 2(6.75) + 2w

18.4 = 13.5+2w

4.9=2w

2.45=w

Answer:

5/12

Step-by-step explanation:

i took the test :]

Answer:

b=3m

Step-by-step explanation:

\(\frac{b}{3} =m\\\\3(\frac{b}{3})=3(m)\\\\\frac{b}{1} =3m\\\\b=3m\)

Answer:

B. $8.86

Step-by-step explanation:

$1.88 * 3 plastic bracelets = $5.64

$1.23 for one hair ribbon

$5.64 + $1.23 = $6.87

$15.73 - $6.87 = $8.86

Answer:

1.727 x 10^4

Step-by-step explanation:

2.26 x 10^4 = 22 600

5.33 x 10³ = 5330

22 600 - 5330 = 17 270

17 270 = 1.727 x 10^4

Answer:

5.3%

Step-by-step explanation:

% Increase = Increase / Original Number × 100.

68/1283 * 100

= 5.3%

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Answer:

12

Step-by-step explanation:

Suppose i want a 2 digit number and i specifically want it to be even okay, and it can only contain the numbers, 245 and 8 point well in order for it to be even the end would have to be 248 right. An even number. The last digit is divisible by 2 or it even so, there's 3 possibilities here. My question is: can my numbers repeat there's nothing that says my numbers can't repeat so: im gonna some they can so i could use 2 twice, 4 twice and so on and so for, but i can only use 5 once and there's 5 other possibilities here. So 4 possibilities for the first digit 3 possibilities for the second. I'M gonna multiply these together: 4 times 3 there's a total of 122 digit numbers.

Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

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Answer:

You don't need to single out \(\cos \theta\) to solve this question.  

To solve:

\(\begin{aligned}3 \cos 4 \theta & = -2\\\\\cos 4 \theta & = -\dfrac{2}{3}\\\\4 \theta & = \cos^{-1}\left( -\dfrac{2}{3\right)}\\\\\implies 4 \theta & =2.30053... \pm 2 \pi n, -2.30053...\pm 2 \pi n\\\\\theta & =\dfrac{2.30053...}{4} \pm \dfrac{\pi n}{2}, -\dfrac{2.30053...}{4}\pm \dfrac{\pi n}{2}\end{aligned}\)

So for the given interval \(0\leq \theta \leq 2 \pi\)

\(\implies \theta =0.575, 2.146, 3.717, 5.288, 0.996, 2.566, 4.137, 5.708\:\:(\sf 3 \: d.p.)\)

(As confirmed by the attached graph)

\(\\ \rm\Rrightarrow 3cos4\theta=-2\)

\(\\ \rm\Rrightarrow cos4\theta=\dfrac{-2}{3}\)

\(\\ \rm\Rrightarrow 4\theta=cos^{-1}\left(\dfrac{-2}{3}\right)\)

\(\\ \rm\Rrightarrow \theta=\pm\dfrac{cos^{-1}\left(\dfrac{-2}{3}\right)}{4}\)

Using scientific calculator

\(\\ \rm\Rrightarrow \theta=\pm 32.95257+90°n\)

So as interval is [0,2π] 4 values are there

\(\\ \rm\Rrightarrow \theta=32.95257+90°= 122.95277°\)

\(\\ \rm\Rrightarrow \theta=-32.95257+90=57.04743°\)

\(\\ \rm\Rrightarrow \theta=32.95257+270=302.95257°\)

\(\\ \rm\Rrightarrow \theta=32.95257+270=237.04743°\)

1617.0 , is her annual premium.

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

A = p(r)t,

where t = years that have passed,

A = amount of money after t years,

p = principal amount of money, and

r = rate of growth (interest plus 1)

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Answer:

-35 - 96i

Step-by-step explanation:

(5 - 21) (2 + 6 ) ( -4-1 )

-16 (2 + 6i ) -3

(expand ) 16 (2 + 6 i ) = -32 - 96 i

32 - 96 i - 3

35 - 96i

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426