Find the value of.(i) (3° + 4 -¹) × 2²

Answer:

-221 base 3

Step-by-step explanation:

We are to calculate the value of the numbers in base 3. One of the ways to do that is to first convert each number to base 10. Do the arithmetic, then convert back to base 3.

121 base 3 +2122 base 3 - 1200 base 3 - 2111 base 3

Let's convert to base10

See attachment for details

From the workings,

121 base 3 + 2122 base 3 - 1200 base 3 - 2111 base 3 = -221 base 3

Answer:

The approximate length of the pendulum is 46.08 ft

Step-by-step explanation:

The time (t) of pendulum oscillation is given as;

[tex]t = 2 \pi\sqrt{\frac{L}{g} }[/tex]

where;

L is the length of the pendulum

g is acceleration due to gravity = 9.8 m/s² = 32.15 ft/s²

t is the time given as 2.4 π seconds

From the equation above, make L the subject of the formula;

[tex]t = 2 \pi\sqrt{\frac{L}{g} } \\\\\frac{t}{2\pi} = \sqrt{\frac{L}{g} }\\\\(\frac{t}{2\pi} )^2 =\frac{L}{g} \\\\L = g*(\frac{t}{2\pi} )^2\\\\L = 32.15*(\frac{2.4 \pi}{2\pi} )^2\\\\L = 32.15 *1.44\\\\L = 46.296 \ ft[/tex]

Therefore, the approximate length of the pendulum is 46.29 ft

The closest option is 46.08 ft

Answer:

46.08 ft

Step-by-step explanation:

Answer:

41 players. 77%

Step-by-step explanation:

53 original players - 5 injuries in the first half = 48 uninjured players

48 uninjured players - 7 newly injured players = 41 consistently uninjured players

Answer:

Choice A

Step-by-step explanation:

I like to solve this by reversing the locations of the x and y, and then isolating y again.

y=4x-3

x=4y-3

x+3=4y

y=(x+3)/4

Hope this helps!

Step-by-step explanation:

I think the first number is 2

Then 2 x 2 = 4 so there is a difference of 4 number

Then in between 6 and 14 there is a difference of 8 so 4 x 2 = 8

Then 16 so 8 x 2 = 16

So after 126 the number is 254

Answer:

im pretty sure it would be two

Step-by-step explanation:

only two rectangles have lines of symmetry

Answer:

2

Step-by-step explanation:

The 4th and 5th one.

Rotating them gives a rotational symmetry of 2.

Answer:

the area would be 36cm^2 of the lid

Answer: it’s c on Edge

Step-by-step explanation: I took the Topic Test

Answer:

depends on the sized of the room-send picture so I can help

Step-by-step explanation:

Answer:

m+n=23

Step-by-step explanation:

the modes m and n have to be data points more than 1 time, but equal

if there are 7 data points, then there are 4 unknown left/2 2 each

(2m-3+m+12+3n+2+m+m+n+n)/7=18

(3m+9+3n+2+m+m+n+n)/7=18

(5m+5n+11)/7=18

(5/7)*m+(5/7)*n+11/7=126/7

(5/7)*m+(5/7)*n=115/7

5m+5n=115

m+n=115/5

m+n=23

Answer:

3 cm

Step-by-step explanation:

First, find the volume of the cone.

V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h

V = [tex]\frac{1}{3}[/tex](3.14)(9)(12)

V = 113.04

This means the sphere is also 113.04

Use the formula V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³

113.04 = [tex]\frac{4}{3}[/tex](3.14)r³

113.04 = 4.19r³

26.98 = r³

3 ≈ r

Answer:

3cm

Step-by-step explanation:

i just know hope it helps rate me 5 star

Answer:

its the middle one

Step-by-step explanation:

if y was 0

3x+2(0)=6

3x=6-0

x=2

if x was 0

3(0)+2y=6

2y=6

y=3

Answer:

Gross Base pay is equals to $129

Step-by-step explanation:

Gross base pay can be defined as the pay per hour which has been discussed and finalized by the employer and employee at the time of job offering. It is the minimum amount of pay the employee is to receive. The tips, bonuses, allowances are not considered in the Gross base pay. Moreover, it is the basic pay an employee gets before any kind of tax deductions..

Gross base pay can easily be calculated by multiplying the pay per hour with the number of hours worked.

Pay per hour = $8.60

Numbers of hours worked = 15

Gross Base Pay = 8.60×15 = $129

Answer:

$129 besties

bout to turn it in wish me luck fr

Answer:

Circumscribed circle: Around 80.95

Inscribed circle: Around 3.298

Step-by-step explanation:

Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

[tex]\cos 38= \dfrac{8}{AB} \\\\\\AB=\dfrac{8}{\cos 38}\approx 10.152[/tex]

To find the area of the circumscribed circle:

[tex]r=\dfrac{AB}{2}\approx 5.076 \\\\\\A=\pi r^2\approx 80.95[/tex]

To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:

[tex]AC=\sqrt{10.152^2-8^2}\approx 6.25[/tex]

The area of the triangle is:

[tex]A=\dfrac{bh}{2}=\dfrac{8\cdot 6.25}{2}=25[/tex]

The semiperimeter of the triangle is:

[tex]\dfrac{10.152+6.25+8}{2}\approx 24.4[/tex]

The radius of the circle is therefore [tex]\dfrac{25}{24.4}\approx 1.025[/tex]

The area of the inscribed circle then is [tex]\pi\cdot (1.025)^2\approx 3.298[/tex].

Hope this helps!

Answer:

2'nd graph

Step-by-step explanation:

inverse functions are functions that are reflected about y=x

the second graph represents f(x) inverse g(x)

Answer:

Step-by-step explanation:

-2 < n+3 ≤ 4

Make two separate equations,

-2 < n+3

Subtract 3 from both sides,

-2-3 < n + 3  -3

-5 < n

So, value of n should be greater than (-5)

n +3 ≤ 4

Subtract 3 from both sides

n ≤ 1

So, n value should be less than or equal to 1

So, n value should be greater than -5 and less than or equal to 1

n= { -4, -3 , -2 , -1 ,0 ,1 }

Answer:

Option D.

Step-by-step explanation:

An inverse variation function is defined as

[tex]y\propto \dfrac{1}{x}[/tex]

[tex]y=\dfrac{k}{x}[/tex]

where, k is constant of proportionality.

In the above equation x represents input and y represents output.

If the function's input value is multiplied by 4, then

[tex]y_1=\dfrac{k}{x_1}[/tex]

[tex]y_1=\dfrac{k}{4x}[/tex]

[tex]y_1=\dfrac{1}{4}\cdot \dfrac{k}{x}[/tex]

[tex]y_1=\dfrac{1}{4}y[/tex]

The output is divided by 4​.

Therefore, the correct option is D.

Answer:

D) The price of fish per pound

Step-by-step explanation:

A continuous data is one which can take any value . it can have even value between any two consecutive number.

Example :

continuous data can have value between 4 and 5 like 4.5 4.001 and so on.

Discrete data is one which can be counted such as number of flowers, no of cars in parking.

it can take value such as 1,2, 12, 66  etc.

____________________________________________

Let go through the option

A) The number of times you flip a coin

We can count the number of times a coin is flipped .

Like 2 times, 3 times and hence it is discrete data and not a continuous one.

B) The number of students in a classroom

Student in a classroom can also be counted.

in a class there can be 12, 50, 66 etc students not 12.1 , 50.5 etc.

hence it is discrete data and not a continuous one.

C) The number of chocolate candies in a box

Again, chocolate number can be counted .

Number of chocolate can be 2, 4, 5 and not 2.1 , 4.6 etc and

hence it is discrete data and not a continuous one.

D>The price of fish per pound

Price of fist cannot be counted . Further, price of fish can be $2.5 , $ 4.555

hence it is a continuous data.

Based on above discussion

continuous data is represented by The price of fish per pound

Answer:

y = 90 degrees

Step-by-step explanation:

The line in the middle of the triangle is a perpendicular bisector since it splits the angle at the top in half.  That means it forms a 90 degree angle where it intersects the base

y = 90 degrees

Answer:

X = C - By over A which also is A ≠ 0

Y = C - Ax over B which is also B ≠ 0

Step-by-step explanation:

Solve for x

First subtract "By" from both sides:

Ax + By - By = C - By

Then simplify,

Ax = C - By

Divide both sides by A:

Ax / A = C/A - By/A ; A≠0

Then simplify:

X = C - By over A ; A ≠ 0.

-------------------------------------

Solve for y

First subtract "Ax" from both sides:

Ax - By - Ax = C - Ax

Simplify,

By - C = Ax

Then divide both sides by B:

By/B = C/B - Ax/B ; B ≠ 0

Simplify:

Y = C-Ax / B ; B ≠ 0.

Hope this helps have a good day! :)

( This symbol '/' means a dash like a fraction btw same with the word over.)

Brainliest would be appreciated?

Answer:

The correct option is C.

C) The range represents the number of users each month for 36 months

Step-by-step explanation:

We have been given that:

x-axis ⇒ Number of Months

y-axis ⇒ Number of Users

x-axis values = 0 to 36

y-axis values = 0 to 60

We have a function which is represented by a straight line from (0,0) to (36,54).

We have to find the RANGE of the function.

Range of a function is a complete set of values of dependent variable y, for all possible values of independent variable x

As total number of months = 36

Range is the set of all values of y (Number of Users) for each month for a period of 36 months.

Hence, the correct option is C.

Answer:

c

Step-by-step explanation:

The arrow on the top of the cube is turning. The next direction it would turn in is down, so it would be the third option.

Answer:

The third one

Step-by-step explanation:

The arrow keeps turning anticlockwise therefore the next block would be the third one

Answer:

Well first, the image is probably a line, because you can't reflect a point on 2d shape horizontally or vertically across one point. That just wouldn't work. So given that the shape is just a line, reflecting horizontally and vertically would not change how the shape looks.

Answer:

1. true

2. false

Step-by-step explanation:

i think :)

A normal distribution has its center at the mean and its spread is determined by the standard deviation. For the standard normal distribution, its mean is 0 and standard deviation is 1. It is in the shape of a bell curve. Most of the values fall in or around 0, forming the peak around this area. As you move away from 0, the values are less frequent which explains the drop-off. The distribution is continuous as you can have any real number (decimal or whole). It's also random because of the nature of statistics.

Answer:

10

Step-by-step explanation:

P(getting blue marbles) = 7/9

so;

x/45 = 7/9

x = 35

so the number of blue marbles is 35

45 - 35 = 10 red marbles

hope it helps .

all the best

Answer:B

Step-by-step explanation:

The picture was cut off, but if it is asking which angle is the obtuse angle, it is angle 4 because it is the only angle that is more than 90 degrees

Answer:

(-1, 8) (-5, 11)

Step-by-step explanation:

We are subtracting 3 from the x coordinate and adding 5 to the y coordinate

(2,3) becomes (2-3, 3+5) = (-1,8)

(-2,6) becomes (-2-3, 6+5) = (-5,11)

Answer:

Answer would be 2x^2 -16x + 30

Question:

If p(x) = 2x^2 – 4x and q(x) = x – 3 what is (p*q)(x)

Answer:

its c

Step-by-step explanation: