Expand the following
(x+2x)(2s-2t)
(m-n)²
(k+9)²
(4a-3b)(c+6d)​

Answer:

The correct answer is - A.(112.86, 127.14)

Step-by-step explanation:

Given:

mean = $120

sd = $17.50

n = 40

Solution:

Confidence interval for a populationcan be express as mean +/- margin of error (E)

degree of freedom = n-1 = 40-1 = 39

confidence level (C) = 99% = 0.01

significance level = 1 - C = 1 - 0.01 = 0.99 = 99%

 by margin of error E = t×sd/√n = 2.58*17.50/√40

= 2.58*2.76

= 7.138 or 7.14

then the lower limit of mean = mean - E = 120 - 7.14 = $112.86

and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14

Answer:

First, subtract

7

from each side of the inequality to isolate the

x

term while keeping the inequality balanced:

1

4

x

+

7

−

7

>

0

−

7

1

4

x

+

0

>

−

7

1

4

x

>

−

7

Now, multiply each side of the inequality by

4

to solve for

x

while keeping the inequality balanced:

4

×

1

4

x

>

4

×

−

7

4

4

x

>

−

28

1

x

>

−

28

x

>

−

28

Answer:

1/2 < x < 7/2

Step-by-step explanation:

First, simplify then put everything on one side: 16x -4x^2 -7 > 0

Then use the quadratic formula to factor and find out x.

For a quadratic equation in the form of ax^2 + bx + c = 0, use this formula:

X (1,2) = (-b ± √(b^2 -4ac))/2a

(The X (1,2) part means that there are 2 solutions for x)

In this case, a is -4, b is 16, and c is -7. By using this formula, you get that x=1/2, x=7/2

Answer:

60

Step-by-step explanation:

A significant figure means the most important (biggest) number.

As it just wants 1 significant figure, you count 1 to the right and round the 6 up.

Hope this helps :)

Answer:

D 26, 05

Step-by-step explanation:

(look at picture attached)

Answer:

Step-by-step explanation:

a) circumference = diameter*pi

so, pi in circle A =25.12/8=3.14

pi in circle B = 9.42/3 =3.14

b) area of the circle =(diameter/2)^2*pi

so pi in circle A = 50.24/(8/2)^2=3.14

pi in circle B = 3.14

C) both the value of circle A and B are equivalent

Answer:

Step-by-step explanation:

We are looking for the probability that (-1.10 < z < -.36)

The z score for -1.10 = .13567 and

the z score for -.36 = .35942

To find the probability that z will fall in between them, subtract the smaller from the larger to get .2237, or 22.37%

Answer: x = 74.3

Step-by-step explanation:

Let 22 be reference angle

so

tan 22 = p/b

tan 22 = 30/x

or, x= 30/tan22

so, x = 74.252

so, x = 74.3

Answer:

0.036

Step-by-step explanation:

Number of wheels = 3

Total number of symbols on each wheel = 10

number of skulls = 4

number of Lemons = 3

number of cherries = 2

number of bell = 1

Determine the probability of getting ; a lemon, cherry and Bell given that outcome of each wheel is independent

P(of getting Lemon, cherry and berry ) =  6 * P( lemon , cherry , Bell )

= 6 * ( 3/10 ) * ( 2/10) * ( 1/10 )

= 0.036

Answer:

Step-by-step explanation:

By applying tangent rule in the given right triangle AOB,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{BO}{OA}[/tex]

[tex]OA=BO(\sqrt{3})[/tex]

By applying tangent rule in the given right triangle BOC,

tan(60°) = [tex]\frac{OC}{BO}[/tex]

OC = BO(√3)

OA + OC = AC

[tex]BO(\sqrt{3})+BO(\sqrt{3}) =60[/tex]

2√3(BO) = 60

BO = 10√3

OC = BO(√3)

OC = (10√3)(√3)

OC = 30

By applying tangent rule in right triangle DOC,

tan(60°) = [tex]\frac{OD}{OC}[/tex]

OD = OC(√3)

OD = 30√3

Since, BD = BO + OD

BD = 10√3 + 30√3

BD = 40√3

      ≈ 69.3

Answer:

9.8 cm

Step-by-step explanation:

Volume of a cylinder can be gotten with this formula

V=πr2h

h = height of the oil.

We were told that 3 litres of oil was removed, then, there is a falling in the level of oil by 10 cm, hence the height of the oil is now

h° =( h) - (0.1)

Then the new volume can be calculated as

V°= V - (3×10^-3)

But

volume= (π r2h°)

Then substitute we have

πr2h - 0.003 = π r2 (h-0.1)

If we open the bracket we have

0.003 = (πr2 ×0.1)

πr2=0.003/0.1

Then r=√ (0.03/0.1π)

=9.8 cm

Note that 1L = 10-3 m3

Answer:

12

Step-by-step explanation:

F(x)=x^2−2x+4

Let x = |-4| = 4

F(|-4|)=4^2−2(4)+4

     = 16 -8+4

    = 8+4

     = 12

Answer:

x = -3

Step-by-step explanation:

5x + 3 = 4x,

x + 3 = 0,

x = -3

Answer:

the answer for this would be -3

If one number is the multiple of another number, then the L.C.M. will be the smaller number (the number whose multiple the other number is).

Answer:

2x - 12

Step-by-step explanation:

that is the procedure above

I don't know how you want it solved but, I am giving u -2 I hope this helps

Answer:

[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}[/tex]

Step-by-step explanation:

Given

The attached tables of f(x) and g(x)

Required

A new table

For both tables, the x-values are the same.

So, the new table is as follows:

[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {54/-6} & {10/-2} & {18/6} & {70/10} \ \end{array}[/tex] --- i.e. divide g(x) by f(x) of the same x values

After the division, we have:

[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}[/tex]

By taking the quotient between the two functions evaluated in one value of x, we will see that the correct option is the third table (counting from the top).

We want to find the table that correctly represents the quotient of the two functions f(x) and g(x).

To do this, let's find each value of that quotient and see which table contains them.

for x = -8 we have:

Then the quotient is:

g(-8)/f(-8) = 54/-6 = -9

There is only one table that contains this value, so only with this, we can conclude that the correct option is the third table (counting from the top).

If you want to learn more about rational functions, you can read:

https://brainly.com/question/1851758

Answer:

p=8

Step-by-step explanation:

-5log(p+1)+2=-8

-5log(p+1)=-10

log(p+1)=2

p+1=9, p=8

Answer:

B. decrease of 12

Step-by-step explanation:

Number of people who left the store = 14

Number of people who entered the store = 10

Again,

Number of people who left the store = 13

Number of people who entered the store = 5

Total people who left the store = 14 + 13

= 27 people

Total people who entered the store = 10 + 5

= 15 people

Number of people remaining in the store = Total people who entered the store - Total people who left the store

= 15 - 27

= -12

This means there is a net decrease in the number of people in Carmen's Computer Store

Answer:

12 degrees

Step-by-step explanation:

Answer:

15 degrees

Step-by-step explanation:

okay haha

so basically the cosine of an angle is the side adjacent to it, divided by the hypotenuse. the sine is the side opposite to that angle divided by the hypotenuse, and the tangent is the side opposite to that angle divided by the side adjacent to it.

in this case we are given the angle and the side opposite to it which is 10, and we are also given the hypotenuse of 39.

what trig function deals with opposite and hypotenuse?

the answer is sine

so we would find the sine of that angle which equals to opposite over hypotenuse:

sin(angle) = 10/39

but, they are asking for the inverse trig function. the inverse of sine is arcsin.

so :

arcsin(10/39) = angle

in a calculator, this would be equal to about 14.857 which is closest to 15.

Answer:

10% of 55

=> 10/100 × 55

=> 1/10×55

=> 5.5

55 increased by 10% => 55 + 5.5

=> 60.5

hope that helps ✌

Answer:

Step-by-step explanation:

10% of 55

10/100*55

1/10*55

5.5 <--- That is 10% of 55

55+5.5 = 60.5

Answer:

D

Step-by-step explanation:

For example,

5×7-10>20

5(-3)-10<15

Answer:

Step-by-step explanation:

I'm pretty sure its b

Answer:

Therefore, the price increased by 20%

Step-by-step explanation:

Initial price = 1.25

Final price = 1.50

so price increased = 1.50 - 1.25

= 0.25

so,

price increased% = (0.25/1.25) × 100%

= 0.2 × 100%

= 20%

Answer:

I don't think so

Step-by-step explanation:

the length of the newspaper page=36cm

the advert will take 1/3 of the page=1/3*36=12

so the advert takes12 cm and he says it has to be 11 cm which is not right .

I hope this helps

Answer:

i think this is right i’m sorry if not :)

Answer:

Step-by-step explanation:

7x + 14 = 14 x + 7

-7x = -7

x = 1 (one solution)

~~~~~~~~~~~~~~~~~

5 x + 8 = 8 + 5 x

0 =0 (infinite solutions)

~~~~~~~~~~~~~~~~

9x = 9 x + 5 17

0 = 517 (no solution)

Step-by-step explanation:

Answer:

sh ma at me Ej as he be as h

Step-by-step explanation:

c my zzz bb

dbdgj dd d

sin(24) = x/16

x = 6.51

Answer:

-5x³ + 3x³ + 2x + 6

Step-by-step explanation:

if that is truly the complete problem description, then the only possible answer I can think of, that makes any sense :

what do I need to add to 5x³+3x²-2x+1 to get 6x²+7 ?

the answer is

6x²+7 - (5x³+3x²-2x+1) = 6x²+7-5x³-3x²+2x-1 =

= -5x³ + 3x³ + 2x + 6

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 1, - 5 ) → A' (- 1, 5 )

B (2, - 3 ) → B' (2, 3 )

C (3, - 5 ) → C' (3, 5 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A' (- 1, 5 ) → A'' (1, 5 )

B' (2, 3 ) → B'' (- 2, 3 )

C' (3, 5 ) → C'' ( - 3, 5 )