Write each of the following expressions without using absolute value. 7m–56|, if m<8

Answer:

[tex]\huge\boxed{\sqrt[4]{16a^{-12}}=2a^{-3}=\dfrac{2}{a^3}}[/tex]

Step-by-step explanation:

[tex]16=2^4\\\\a^{-12}=a^{(-3)(4)}=\left(a^{-3}\right)^4\qquad\text{used}\ (a^n)^m=a^{nm}\\\\\sqrt[4]{16a^{-12}}=\bigg(16a^{-12}\bigg)^\frac{1}{4}\qquad\text{used}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\bigg(2^4(a^{-3})^4\bigg)^\frac{1}{4}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\bigg(2^4\bigg)^\frac{1}{4}\bigg[(a^{-3})^4\bigg]^\frac{1}{4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=2^{(4)(\frac{1}{4})}(a^{-3})^{(4)(\frac{1}{4})}=2^1(a^{-3})^1=2a^{-3}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}[/tex]

[tex]=2\left(\dfrac{1}{a^3}\right)=\dfrac{2}{a^3}[/tex]

Answer:

4

Step-by-step explanation:

y=mx+b

b=y-intercept.

In this case...

mx=-5<-- this is the slope of the line.

b=4<-- y intercept.

Hope this helps, any further questions, please feel free to ask.

Answer:

3.36:45=0,8

4.40:32=1,25

536:45=0,8

6.48:50=0,96

Hope it helps and likes it

Step-by-step explanation:

3- sin Z = opp/hyp

  sin Z = 27/45

   Z = sin-¹(27/45)

   Z = 37

4- tan C = opp/adjacent

   tanC = 24/32

   C = tan -¹ ( 24/32)

   C = 36.87 ( or 37)

5-  cos X = adj/hyp

    cos X= 36/45

    X = cos-¹ (36/45)

   X = 37

6- sin C = opp/hyp

   sin C = 14/48

   C = sin -¹ (14/48)

   C= 17  (or 16.96)

Answer:

$45.

Step-by-step explanation:

When the TV is bought on hire purchase, you deposit $35 and pay $30 monthly. There are 12 payments. 12 * 30 = $360. 360 + 35 = $395.

Since cash would've cost $350, the amount of money saved by paying cash is 395 - 350 = $45.

Hope this helps!

Step-by-step explanation:

The square root of 5 can be approximately found by doing the square root of 4 to get 2, and the square root of 9 to get 3.  Then, because 5 is closer to 4 than 9, the square root of 5 is about 2.2.

Otherwise, simply do sqrt(5) in a calculator to get 2.23606798

Hope it helps <3

Answer:

C.

Step-by-step explanation:

To find the area of a rectangle, times the length and the breadth together. So, it would be 16×5=80. option C is 80.

Answer:

80 sq.units

Step-by-step explanation:

A of rectangle = L×B

L= 16 units

B=5 units

A of rectangle = L×B

                        =16×5 units

                        =80 sq.units

Answer:

  D.  f(x) = |x|

Step-by-step explanation:

The absolute value parent function has nothing added or subtracted or multiplied. It is simply ...

  f(x) = |x|

Answer:

Volume of a pyramid is

[tex] \frac{1}{3 } \times (area \: \: of \: base) \times height[/tex]

Since it's a square pyramid the base is a square

So we have

Area of a square = l²

where l is the length of one side

Area of square = 22²

= 484 cm²

So volume of the pyramid is

[tex] = \frac{1}{3} \times 484 \times 8 = 1290.7 {cm}^{3} [/tex]

Hope this helps you

Answer:

Step-by-step explanation:

The order of a succession is a way that the terms (the first, the second, the third, etc.) can be distinguished according to a certain formation law or order criterion.

Example:

a¹/a²/a³/a⁴ And successively

In the order of a sequence you can assign any letter.

Answer:

Step-by-step explanation:

This problem is based on unit conversion from miles per hour to  meter per second.'

From tables 1 mph= 0.44704 m/s

Given 248 mph to be converted to meters per second.

hence we have

1 mph= 0.44704 m/s

248 mph= x

cross multiplying we have

x= 110.86592 m/s

to the nearest hundreth we have

Answer:

The correct option is;

0.28

Step-by-step explanation:

The given data values are;

x,      f(x)

8,     12

12,    40

6,      15

20,    20

Where;

x = The number of flowers in the bouquet

f(x) = The total cost (in dollars)

The equation for linear regression is of the form, Y = a + bX

The formula for the intercept, a, and the slope, b, are;

[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]

Where:

N = 4

∑XY = 1066

∑X = 46

∑Y = 87

∑X² = 644

(∑X)² = 2116

b = (4*1066 - 46*87)/(4*644 - 2116) = 0.5696

a = (87 - 0.5696*46)/4 = 15.1996

The standard deviation of the x- values

[tex]S_X = \sqrt{\dfrac{\sum (x_i - \mu)^2}{N} }[/tex]

[tex]\sum (x_i - \mu)^2}[/tex] = 115

N = 4

Sx =√(115/4)

Sx = 5.36

[tex]S_Y = \sqrt{\dfrac{\sum (y_i - \mu_y)^2}{N} }[/tex]

[tex]\sum (y_i - \mu_y)^2}[/tex] = 476.75

N = 4

Sy =√(476.75/4)

Sy= 10.92

b = r × Sy/Sx

Where:

r = The correlation coefficient

r = b × Sx/Sy = 0.5696*5.36/10.92 = 0.2796 ≈ 0.28

The correct option is 0.28.

Answer:

C on edge

Step-by-step explanation:

Answer:

x = - 1/18

Step-by-step explanation:

Move all terms not containing  x to the right side of the equation

Divide each term by 18 and simplify

The result can be shown in multiple forms

x = -1/18

Decimal form= -0.05

Answer: x=-1/18

Step-by-step explanation:

18x+18=17

you subtract 18 from both sides

18x=-1

then you divide by 18 on both sides

x=-1/18

Step-by-step explanation:

x+y=12

3×+y=20

×=12-y

3 (12-y)+y=20

36-3y+y=20

36-4y=20

-4y=20-36

-4y= -16

y =16÷4

y=4

×+y=12

×+4=12

×=12-4

×=8

therefoer;y=4,x=8

Answer:

12*3*2=72

10*3*2=60

12*10*2=240

240+72+60=312+60=372

hope this helps

Step-by-step explanation:

Answer:

Answer is c 480 in2

Step-by-step explanation:

Step-by-step explanation:

The dimensions are (8-2x) and (10-2x) We will say the depth of the box is x. The equation we use for the volume of the box is V=x(8-2x)(10-2x)

Answer:

part b of the answer is x=1.5 inches

Step-by-step explanation:

Answer:

u have to multiply these.

it's too easy .

see I will tell you the answer.

-2x²-6x-(x²-2x+x-2)

Now the signs of the underlined terms will change because negative sign is outside it.

-2x²-6x-x²+ 2x-x + 2

Now we have to solve it simply

-2x²-x²-6x+ 2x-x + 2

-3x²-5x+2

so here is ur answer.

for Indians it is soo simple question bro

I am Indian

if u need any help plz let me know.

Answer:

Yes, because each x-value corresponds to one y value.

Step-by-step explanation:

If you look at the table, you notice that there is one output (y) for every input (x). This means that it is a function. It would NOT be a function if you had two outputs for an input. For example, there are two x values that are 6. For one coordinate pair, the table says (6,9) and (6,8). Since there are two values for the same input- it wouldn't be a function. In this case, there is an input of 4 and 5 with the same output. That is okay! Even though they have the same y value, those inputs still only have ONE output.

Answer:  18954

Step-by-step explanation:

The given format for password :  Each password will have one digit, followed by one letter, followed by two digits. The digit 7 will not be used. So, there are 26 letters and 9 digits that will be used.

We assume that the digits can be repeated.

Then by using fundamental principle of counting,

Number of passwords can be created =  (Number of digits) x (Number of letters) x (Number of digits)x(Number of digits)    

= 9 x 26 x 9 x 9

=  18954

Hence, Number of passwords can be created=  18954

Answer:

sin-1(2/3)=42 tan-1(4)=76 cos-1(0.1)=84

Step-by-step explanation:

Answer:

1: V:56.52  SA:94.2  Ratio: 3:5

2: V:113.04  SA:62.8  Ratio: 9:5

3: V:113.04  SA:138.16  Ratio: 9:11

4: V:113.04  SA:131.88  Ratio: 6:7

Step-by-step explanation:

Hey there!

By using the following formula for volume of a cylinder I got,  

[tex](3.14) r^2h[/tex]

1: 56.52

2: 113.04

3: 113.04

4: 113.04

Now to find SA we'll use the following formula,

1: 94.2

2: 62.8

3: 138.16

4: 131.88

Now for the ratio,

56.52:94.2 - 3:5

113.04:62.8 -  9:5

113.04:138.16 - 9:11

113.04:131.88 - 6:7

Hope this helps :)

Answer:

a) 18

b) 20

c) 12

d) 12

Step-by-step explanation:

a) The triangle is half of the square, so you can find the area of the square(36) and divide by 2: so 18

b) There are 4 same sized blank triangles with area of 4 ( (2*4)/2 ) so 4 * 4 is 16. 16 is the blank area so the area of the shaded is 36 - 16: 20

c) There are 2 blank triangles which areas are 6, and 18, so you subtract those numbers from 36: 36 - (6+18) = 12

d) Another 2 same blank triangles with areas of 12 ( (6 *4)/2 )so you subtract them from 36 too: 36 - (12*2) = 36 - 24 = 12

Answer:

The marked price =  Rs 4,475.

Step-by-step explanation:

Let the marked price of the watch = x

Let the cost price of the watch = y

The given information are;

The marked price of the watch = 30% above the cost price

The discount when it was sold = 20%

The gain when it was sold = Rs 150

Therefore, we have marked price = y + 30/100×y = y + 0.3·y = 1.3·y

The selling price with 20% discount is therefore, 1.3·y - 0.2×1.3·y

The selling price = 1.04·y

The gain = Selling price - cost price = 1.04·y - y = 0.04·y

Rs 150= 0.04·y

y = Rs 150/0.04 = Rs 3,750

Therefore, the marked price = 1.3×y = 1.3×3,750 = Rs 4,875

The marked price =  Rs 4,475.

Answer:

I guess that we want to find how many grams of fat we have in a small pizza.

In a small pizza, we use 12 cups of cheese.

in 14 cups of cheese, we have 6 grams of fat.

Then, in 12 cups of cheese, we have x grams of fat.

We want to find the value of x.

We know that the ratio between the number of cups must be the same as the ratio between the grams of fat then:

12cups/14cups = x/6grams

x = (12/14)*6grams = 5.14 grams

Then in the 12 cups of cheese, we have 5.14 grams of fat.

Answer:

33 minutes

Step-by-step explanation:

To find the mean, you first must add up the values given.

45 + 25 + 35 + 20 + 40 = 165

Now, divide the sum by the number of values you have.

165/5 = 33

The mean number of minutes she spent practicing is 33.

Answer: Choice B

95 - 1080n for any integer n

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

Explanation:

Notice how 1080 is a multiple of 360 since 360*3 = 1080. The other values 1450, 780 and 340 are not multiples of 360. For example 1450/360 = 4.02777 approximately. We need a whole number result to show it is a multiple.

Therefore, choice B shows subtracting off a multiple of 360 from the original angle 95. In my opinion, it would be better to write 95+360n or 95-360n to make it more clear we are adding or subtracting multiples of 360.

Choice B will find coterminal angles, but there will be missing gaps. One missing coterminal angle is 95-360 = -265 degrees. So again, 95-360n is a more complete picture. I can see what your teacher is going for though.

The answer is B. Shooting. Shooting is a sport on dry land, while the other three are aquatic sports, that is, they are on or in the water.

Answer:

Pyramid

Step-by-step explanation:

[tex]\text{Volume of a Square Pyramid }=\frac{1}{3} \times l^2 \times Height\\\\ \text{Volume of a Cone }=\frac{1}{3} \pi r^2 \times Height[/tex]

Given that the two solids have the same volume

[tex]\frac{1}{3} \times l^2 \times Height=\frac{1}{3} \pi r^2 \times Height[/tex]

If the length of a side of the square base of pyramid A is the same as the base radius of cone B. i.e l=r

[tex]\frac{1}{3} \times l^2 \times $Height of Pyramid=$\frac{1}{3} \pi l^2 \times $Height of cone$\\\\$Cancel out $ \frac{1}{3} \times l^2$ on both sides\\\\Height of Pyramid= \pi \times $ Height of cone$[/tex]

If the height of the cone is 1

[tex]H$eight of Pyramid= \pi \times 1 \approx 3.14$ units[/tex]

Therefore, the pyramid has a greater height.

Answer:

  all real numbers

Step-by-step explanation:

The domain of any polynomial function is "all real numbers."

Answer:

(i)  X+2 and x+3;

(ii) x( x+4)= X^2 +4x;

(iii) x( x+4)=a

    (x+1)(x+3)= a+3  

Step-by-step explanation:

(i)  X+2 and x+3;

(ii) x( x+4)= X^2 +4x;

(iii) (x+1)(x+3)=x^2+3X+X+3=x^2+4x+3;

x(x+4)=a

(x+1)(x+3)= a+3

Step-by-step explanation:

x is followed by x+1 so each time we add one

our sequence goes like this:

the first number is x and the fourth one is x+3

the second number is x+1 and the third one is x+2

the first product is x²+3x and the second one is x²+3x+2

Let P be x²+3x and P' be x²+3x+2

Answer:

-5z^3-z^4+4z^5