Select all that are equivalent to 4/16
1/5
0.25
0.252525
25%

Answer:

[tex]x = 0 \: \text{or} \: x = - 4.[/tex]

Step-by-step explanation:

[tex]6 {x}^{2} + 24x = 0 \\ \text{then} \: 6x(x + 4) = 0 \\ \text{hence} \: x = 0 \: \text{or} \: x + 4 = 0 \\\text{therefore} \: x = 0 \: \text{or} \: x = - 4.[/tex]

Answer:

C) there are no solutions

Step-by-step explanation:

3x-6<3x+13

3x<3x+19

0<19

Answer:

Option B is correct

Step-by-step explanation:

The triangle if rotated by 75 degrees in the counter clock wise direction will have C vertices in the second quadrant , A vertices also in the second quadrant and B vertices in the third quadrant.

Hence, option B is correct

Given:

The data set is:

25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24

To find:

The box plot for the given data set.

Solution:

We have,

25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24

Arrange the data in ascending order.

18, 19, 20, 21, 24, 25, 26, 27, 30, 31, 32, 33, 36, 36, 38

Divide the data in two equal parts.

(18, 19, 20, 21, 24, 25, 26), 27, (30, 31, 32, 33, 36, 36, 38)

Divide each parenthesis in two equal parts.

(18, 19, 20), 21, (24, 25, 26), 27, (30, 31, 32), 33, (36, 36, 38)

Now, the five number summary of the given data set is:

Minimum value = 18

First quartile = 21

Median = 27

Third quartile = 33

Maximum value = 38

Therefore, the required box plot for the given data set is shown below.

Answer:

The area of the shaded polygon is 31 square units.

Step-by-step explanation:

The procedure to calculate the area of the shaded irregular polygon is described below:

1) Calculate the area of the initial rectangle.

2) Calculate the areas of the four triangles.

3) Subtract the areas of the four triangles from the initial triangle.

[tex]A = (9)\cdot (6) - \frac{1}{2}\cdot (4)^{2} - \frac{1}{2}\cdot (5)\cdot (2) - \frac{1}{2}\cdot (2)^{2} - \frac{1}{2}\cdot (4)^{2}[/tex]

[tex]A = 31[/tex]

The area of the shaded polygon is 31 square units.

Answer:

[tex]x = \frac{12}{ \tan(60 \degree) } \\ x = \frac{12}{ \sqrt{3} } \\ x = 4 \sqrt{3} \: cm[/tex]

[tex]y = \frac{12}{ \sin (60 \degree) } \\ y = \frac{12 \times 2}{ \sqrt{3} } \\ y = \frac{24}{ \sqrt{3} } \\ y = 8 \sqrt{3} \: cm[/tex]

Answer:

The responses to the given can be defined as follows:

Step-by-step explanation:

For point a:

fixing probability vector that is [tex]W = [a b c][/tex]

[tex]\therefore[/tex]

relation: [tex]WT =W[/tex]

[tex]\to 0.5a+0.3b+0.2c=a ..................(1)\\\\ \to 0.4a+0.4b+0.3c=b..............(2)\\\\ \to 0.1a+0.3b+0.5c=c.................(3)[/tex]

solving the value:

[tex]a=0.3387 \\\\ b=0.3710\\\\ c=0.2903[/tex]

Therefore the stationary distribution [tex]\pi =[0.3387 \ 0.3710\ 0.2903][/tex]

For point b:

[tex]\pi[/tex] will be limiting distribution if [tex]\pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1[/tex]

[tex]\pi[/tex] satisfies the above condition so, it is limiting the distribution.

Answer:

9:11

Step-by-step explanation:

subtract the amount of girls to get the amount of boys then put it in ratio form in the order it is asked so it is 9:11

Answer:

[tex]y=-\frac{1}{3}x+-7[/tex]

Step-by-step explanation:

The graph shows a negative slope with 3 units in between each point.

Every 3 x-units, the y-unit goes up once.

A =?

P= 9456

r = 6% = 0.06

t = 5 yrs

Formula

A= P(1+r)^t

A= 9456×1.06⁵

A = 12646.23

the total amount that he had to pay was 12646 rs

Answer:

pointing towards the top

Step-by-step explanation:

1.5 feet long 2.5 feet wide the suitcase is so straight

HOPE OT HELPS

Answer:

2325

Step-by-step explanation:

Kkkkkkkkjajahaaj

Answer:

V = 267.95 cm^3

Dominic forgot to multiply by the approximation for pi

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

V = 4/3 ( 3.14) (4)^3

V = 267.946666666

Rounding to the nearest hundredth

V = 267.95 cm^3

If you do not multiply by the approximation for pi

V = 85.3333333pi cm^3

Dominic forgot to multiply by the approximation for pi

Answer:

18 inches

Step-by-step explanation:

Given

[tex]r = 15in[/tex] --- radius

[tex]h = 12in[/tex] --- distance between chord and the center of the circle

Required

The chord length

See attachment for illustration

First, calculate distance AX using Pythagoras theorem.

[tex]AO^2 = AX^2 + OX^2[/tex]

This gives:

[tex]15^2 = AX^2 + 12^2[/tex]

[tex]225 = AX^2 + 144[/tex]

Collect like terms

[tex]AX^2 = 225 - 144[/tex]

[tex]AX^2 = 81[/tex]

Take square roots of both sides

[tex]AX = 9[/tex]

AB is then calculated as:

[tex]AB= AX + XB[/tex]

Where:

[tex]AX=XB =9[/tex]

So:

[tex]AB = 9 + 9[/tex]

[tex]AB = 18[/tex]

Answer:

Here is Your answer!!!!

Answer:

You S,tupid

Step-by-step explanation:

Answer:

It's 46

Step-by-step explanation:

Because 90-44 it's 46

===========================================================

Explanation:

As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).

The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.

The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.

The total area is 200+875 = 1075 square feet

Notes:

Since these are right triangles, we can use Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

50^2 + 20^2 = c^2

2500 + 400 = c^2

2900 = c^2

c = sqrt[ 100 * 29]

c = 10 sqrt[29]

In the boxes, a = 10, b = 29.

Hope this helps!! :)

Answer:

The given triangle is right.

Step-by-step explanation:

The Pythagorean converse theorem states the following: if one can substitute the sides of a triangle into the following formula:

[tex]a^2+b^2=c^2[/tex]

If the equation formed is a true statement, then the triangle is right, if it is not, then the triangle is not right. In this case, one is not given the angle that has the right angle, however, the hypotenuse is the longest side in a right triangle. Therefore, if the triangle is right, then the hypotenuse is the longest, then side (c) is the longest side in the given triangle. Then side (a) and (b) are the legs, the sides adjacent to the right angle. It doesn't matter which sides one substitutes for these parameters.

Substitute in the given values and solve to prove the triangle is right,

[tex]a^2+b^2=c^2\\[/tex]

Substitute,

[tex](9.6)^2+(12.8)^2=(16)^2[/tex]

Simplify,

[tex]92.16+163.84=256[/tex]

[tex]256=256[/tex]

The given triangle is right since its sides follow the Pythagorean converse theorem.

Answer:

(25m^4n^1/12)(m^1n^1/12)

Step-by-step explanation:

Re-order terms to the left.  

(5*5m^4/3 * n^1/4) (m^1/3*2n^1/8)

Combine terms

(5*5m^4n^1/3/4)     2m^1n^1/3/3/8    

Multiply

(25m^4n^1/3/4)       2m^1n^1/3/3/8    

(25m^4n^1/3 * 4)    2m^1n^1/3/3*8    

(25m^4n^1/12).        2m^1n^1/3/24

cancel common terms in both num and denominator

Final - (25m^4n^1/12) (2m^1n^1/12).

Answer:

18.266

Step-by-step explanation:

Answer:

A standard hexagonal pencil is approximately 7.5 inches in lenght. This is 19 centimeters when converted.

The question says to the nearest inch. Therefore we have to approximate to to a whole number.

7.5, when rounded up to the nearest number, is 8 inches.

Hence, the answer is 8 inches or 19 centinmeters.

Cheers

Answer:

23.31 ft

Step-by-step explanation:

Tan y= opposite÷adjacent

tan 47= 25÷ x

tan 47 • x = 25

x= 25÷ tan 47

x= 23.31 ft

HOPE THIS HELPS!

Answer:

A) 16

Step-by-step explanation:

∠PQR and ∠TQS are vertical, meaning they equal each other

set up your formula as

3x+18=66

3x=66-18

3x=48

x=48/3

x=16

Answer:

12.16 years

Step-by-step explanation:

Continuous Compounding Formula

[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for t:

[tex]\sf \implies 5000=2500e^{0.0570t}[/tex]

[tex]\sf \implies \dfrac{5000}{2500}=\dfrac{2500e^{0.0570t}}{2500}[/tex]

[tex]\sf \implies 2=e^{0.0570t}[/tex]

Take natural logs of both sides:

[tex]\sf \implies \ln 2=\ln e^{0.0570t}[/tex]

[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\sf \implies \ln 2=0.0570t\ln e[/tex]

As ln e = 1:

[tex]\sf \implies \ln 2=0.0570t[/tex]

[tex]\sf \implies \dfrac{\ln 2}{0.0570}=\dfrac{0.0570t}{0.0570}[/tex]

[tex]\sf \implies t=\dfrac{ \ln 2}{0.0570}[/tex]

[tex]\implies \sf t=12.16047685...[/tex]

Therefore, the time required for the amount to double is 12.16 years (2 d.p.).

Learn more about continuous compounding interest here:

https://brainly.com/question/28004698

https://brainly.com/question/27355680

Answer:

Step-by-step explanation:

Numbers that is less than 5 like 4,3,2,1,0

Answer:

1>x>-2   or -2<x<1

Step-by-step explanation:

2<3-x<5   (minus 3)

-1<-x<2     (devide by -1)

1>x>-2