(b)
Using the formula 2T = M + 3K, find the value of K when T = 11 and M = 4.

Given:

The expression is

[tex]2\times 2\times 2\times 2\times 2[/tex]

To find:

The index notation of the given expression.

Solution:

Index: The power of a number and a variable is called its index.

Index notation: The expression which has a base and a power.

In the given expression 2 is multiplied 5 times, so by using the property of exponent we get

[tex]2\times 2\times 2\times 2\times 2=2^{1+1+1+1+1}[/tex]       [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]2\times 2\times 2\times 2\times 2=2^{5}[/tex]

Therefore, the index notation of the given expression is [tex]2^5[/tex].

Answer:

increase

Step-by-step explanation:

Increase definition: become or make greater in size, amount, intensity, or degree.

Decrease definition: make or become smaller or fewer in size, amount, intensity, or degree.

Answer:

Step-by-step explanation:

The figures are similar.

Corresponding sides have same ratio:

1)

2)

Answer:

x = 35.25

y = 20.25

Step-by-step explanation:

Hope this will help

Answer:

do you mean 2a-2b, cause i don't understand and it remains the same is it is because we don't know what a is and what b is so it stays the same

Step-by-step explanation:

Answer:

x=128

Step-by-step explanation:

180-52=128

Answer: x= 128 degrees

Step-by-step explanation:

Angle “x” and angle with measure of 52 degrees are a linear pair.

Linear pairs sum to 180.

52+x=180. Subtract 52 from both sides.

X= 128

*OR you can use angles around a point sum to 360 degrees.

52+38+142+x = 360. Combine like terms.

232+x= 360. Subtract 232 from both sides.

X= 128

Answer:

13 units

Step-by-step explanation:

[tex]3^2+2^2=\sqrt{13^2} \\9+4=13[/tex]

Answer:

The length of BC is 3.61 units.

Step-by-step explanation:

√13=3.60555128=3.61 (Round off to two places)

According to Pythagoras theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

Perpendicular given=3 units

Base given=2 units

H²=3²+2²

H²=9+4

H²=13

H=√13 units

H=3.61 units (approx)

Answer:

11 in

Step-by-step explanation:

Standard paper is 11 x 8 inches

Answer:

a) the new perimeter is 2 times the old perimeter

b) the new area is 4 times the old area

Step-by-step explanation:

b) the doubling of the length and width affects the area formula like this:

old triangle area formula = 1/2bh

new triangle area formula = 1/2(2b)(2h),   you see the 2 x 2 causes the area to be 4 fold

Answer:

correct

Step-by-step explanation:

maybe

Answer:

The answer seems like it is A.

Step-by-step explanation:

Remeber the domain is all real numbers. Hope this helps.

Answer:

1131 students, is the best prediction.

Step-by-step explanation:

1450 divided by 50 = 29

50 - 14 = 36

36 x 29 = 1131

Answer:

The probability of P(Aç) = 27/35

Answer: Not 100% sure but I think it is p=7

Answer:

8+8p

Step-by-step explanation:

you use distributive property! Multiply 8 by 1 and 8 by p and add it!

(1+p)8

8+8p

Answer:

y = 2

Step-by-step explanation:

Given

y = x² + 2x + 3 ← substitute x = - 1

y = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2

Answer:

(b) Least to greatest numbers are -1.0, [tex]-\frac{1}{4}[/tex] , 0, 0.5, 1.5

(c) -1.0 <  [tex]-\frac{1}{4}[/tex]  < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 >  [tex]-\frac{1}{4}[/tex]  > -1.0

Step-by-step explanation:

P.S - The exact question is -

Given - Kendra collected data for her science project. She surveyed

             people asking them how many hours they sleep during a

             typical night.

             The chart below shows how each person’s response compares

              to 8 hours (which is the answer she  expected most people to say).

Name                Number of Hours                       Compared to Hours

                         (usually slept each night)

Frankie                        8.5                                                    0.5

Mr. Fields                      7                                                      −1.0

Karla                             9.5                                                     1.5

Louis                             8                                                         0

Tiffany                            [tex]7\frac{3}{4}[/tex]                                                       [tex]-\frac{1}{4}[/tex]

To find - (a) Plot and label each of the numbers in the right-most column

                   of the table above on the number line below.

               (b) List the numbers from least to greatest.

                (c) Using your answer from part (b) and inequality symbols,

                     write one statement that shows the relationship  among all

                     of the numbers.

Proof -

(a)

We can see that the numbers in the right-most column are  0.5, -1.0, 1.5, 0, [tex]-\frac{1}{4}[/tex]

We can write [tex]-\frac{1}{4}[/tex] = -0.25

Now,

We have to label them in the number line

The number line is as follows :

(b)

Least to greatest numbers are -1.0, [tex]-\frac{1}{4}[/tex] , 0, 0.5, 1.5

(c)

By using inequality symbol, we get

-1.0 <  [tex]-\frac{1}{4}[/tex]  < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 >  [tex]-\frac{1}{4}[/tex]  > -1.0

Answer:

Slope = -3, Y-intercept = -2, y = -3x -2

Step-by-step explanation:

There are multiple points plotted on the graph, but right now, we only need to focus on two.

(-2, 4) (-1, 1)

Using the ordered pairs, do delta y/ delta x to get the slope

(1-4)/(-1-(-2)

(-3)/(-1+2)

(-3)/(1)

Slope = -3

y = -3x + b

As shown on the graph, the y-intercept is -2. It is when x = 0

So, for the equation, substitute the found values.

y = -3x -2

Answer:

logically the missing side is 10 km because 90 km² ÷ 9km = 10km

Answer:

3:1

Step-by-step explanation:

Answer:

The simplest form of 279 is 31.

Step-by-step explanation:

Hope this helps

Answer:

Your answer is 27

I hope I helped, would appreciate brainliest! ;)

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

27% = 27 'out of one hundred',

p% is read p 'percent',

27% = 27/100 = 27 ÷ 100

Calculate percentage:

'Percentage' is obtained by multiplying 100 by 27%

27% of 100 is equivalent to multiplying them:

27% × 100 = ?

27% × 100 =

(27 ÷ 100) × 100 =

(27 × 100) ÷ 100 =

2,700 ÷ 100 =

27

Proof.

How do we check the result?

If 27% × 100 = 27 =>

Divide 27 by 100...

... And see if we get as a result: 27%

Note:

100/100 = 100 ÷ 100 = 100% = 1

Multiply a number by the fraction 100/100,

... and its value doesn't change.

n/100 = n%, any number.

Calculate the percent value:

27 ÷ 100 =

0.27 =

0.27 × 100/100 =

(0.27 × 100)/100 =

27/100 =

27%

So we have proved that the calculations are correct.

Answer:

Percentage of

27% of 100 = 27

Answer:

27%

Convert fraction (ratio) 27 / 100 Answer: 27%

Solution: She has £36 remaining.

To solve this is fairly simple.  First we multiple 72 by .4 to get 40%.  This gives us 28.8.  

We then subtract 28.8 by 72 to get the money she has remaining after she spends 40%.  The answer to this is 43.2

Then she spends 1/6 on makeup.  So we divide 43.2 by 6 and multiply again by 5, which gives us 36.

Answer:

135

Step-by-step explanation:

(9+10)=19

19•15

135

Answer:

1 and 3

Step-by-step explanation:

it is where the graph meets the x axis line

y-yi=m(x-xi)

y-3=1/4(x-4)

y-3=x-4/4

4y-12=x-4

4y+x-12+4=0

4y+x-8=0

so the equation of

the line perpendicular

to

y=1/4-5 through

the point(4,3)

is4y-x-8=0