Estimate 69.93-57.456 by first rounding each number to the nearest whole number

Answer:

8

Step-by-step explanation:

range=highest number - lowest number

=8 - 0

=8

Answer:

Empty set

Step-by-step explanation:

The set containing no element in it is called​ an empty set.

One of the example of an empty set is as follows :

A = {x : x² = 4, x is odd}

In this case, if x = 2, then x² = (2)² = 4

There is no number other than 2 whose square is equal to 4.

Hence, this is an empty set.

Answer:

Solution given:

12 Ouches =$7200

per Ouches =$7200/6=$600

So

the required equation for the cost of any weight of gold is:

C.

600W=C is a required equation.

Answer:

600W=C

Step-by-step explanation:

.......................

Answer:

[tex]g=6x+18[/tex]

Step-by-step explanation:

From the question we are told that:

Function

 [tex]f(x)=x^3+9x^2−81x+14[/tex]

Generally 1st derivative f'(x) of Fuction f(x) is

 [tex]f'(x)=3x^2+2*9(x)-81[/tex]

 [tex]f'(x)=3x^2+18(x)-81[/tex]

Generally 2nd derivative f''(x) of Fuction f(x) is

Where

 [tex]f''(x)=g[/tex]

Therefore

 [tex]g=3x^2+18(x)-81[/tex]

 [tex]g=2*3x^1+18[/tex]

 [tex]g=6x+18[/tex]

Answer:

5 2/3

Step-by-step explanation:

2 * 2 5/6

2 * (12+5/6)

2 * (17/6)

34/6

17/3 = 5 2/3

Step-by-step explanation:

what is the formula for finding the height of a sphere?

H → 2r

Answer:

The height can be represented as the diameter of the circle.

Step-by-step explanation:

A circle's height can be represented as a diameter because it is the distance between one end of the circle to the other end as it passes through it's center. So it now depends on the parameters given to calculate the diameter using the appropriate formulae.

Answer:

k=r+7

Step-by-step explanation:

k=Kyle

r=Ryan

k=51+7

k=58

Kyle will be 58 years old when Ryan is 51 years old

Answer:

Kyle will be 58

Step-by-step explanation:

So it seems to be that Ryan and Kyle have a 7 year age gap. We know this because of the first half of the question "When Ryan is 10, his brother Kyle is 17." And doing simple math, Kyle is seven years older than Ryan.

Now that we know that, If Ryan is 51, then we just have to add 7.

[tex]51+7=58[/tex]

And there we go! At the end it says to fill in the table, but I don't see one provided. Hopefully what I said helps filling it out though. Good luck!

Answer:

14819

Step-by-step explanation:

14 600 x 0.015 = 219

14600 plus 219 = 14819

By using the concept of percentages, the new rate of pay per year is,[tex]\£ 14,819[/tex].

Used the concept of percentage which states that,

To Calculate the percent of a number, divide the number by the whole number and multiply by 100.

Given that,

Currently earning in a year = £ 14,600

And, At your annual review, awarded a wage rise of 1.5%.

Now, the amount awarded a wage rise of 1.5% is,

[tex]1.5\% \text { of \£14600}[/tex]

[tex]\dfrac{1.5}{100} \times \£14600[/tex]

[tex]1.5 \times \£146[/tex]

[tex]\£ 219[/tex]

Hence, the new rate of pay per year is,

[tex]\£ 14,600 + \£ 219[/tex]

[tex]= \£ 14,819[/tex]

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Answer:

11

Step-by-step explanation:

a^2 + 3b / c - 2d

put the numbers in the equation

3^2  + 3 x 8 / 2 - 2 x 5

pedmas

3^2 would be first, then 3 x 8, then that answer divided by 2, then 2 x5

9 + 12 - 10

left to right

9 + 12 = 21

21 - 10 = 11

Answer:

the correct answer is 11

+ (3x8)/2 - (2x5)

9+ - 10

9+12-10=11

Step-by-step explanation:

Answer:

D. 8.343

Step-by-step explanation:

Answer:

30.5555555556

Step-by-step explanation:

Answer:

1.65 liters

Step-by-step explanation:

1 glass-825 milliliters

2 glasses-? milliliters

[tex]\frac{1}{825} =\frac{2}{x}[/tex]

[tex]x=825*2[/tex]

[tex]x=1650[/tex]

1 liter-1000 milliliters

? liters-1650 milliliters

[tex]\frac{1}{1000} =\frac{x}{1650}[/tex]

[tex]1000x=1650[/tex]

[tex]x=1.65[/tex]

Answer:

1.65L

Step-by-step explanation:

Formula we use: 1 L = 0.001 mL

Apply it!

825mL*0.001L=0.825/glass

0.825*2=1.65L

Answer:

C

Step-by-step explanation:

"each type of muffin" indicate the questions have variability

Answer:

(4.3 ; 4.5)

Step-by-step explanation:

Given :

Sample size, n = 343

Sample Mean, xbar = 4.4

Standard deviation, σ = 0.9

Zcritical at 90%

Using the relation :

Xbar ± Margin of error

Margin of Error = Zcritical * σ/√n

Margin of Error = 1.645 * (0.9/√343)

Margin of Error = 0.0799394

Lower boundary = 4.4 - 0.0799394 = 4.320

Upper boundary = 4.4 + 0.0799394 = 4.480

(4.320 ; 4.480)

Answer:

The graph of g(x) is the graph of f(x) moved down 4 units.

Step-by-step explanation:

Subtracting a function by a constant:

Subtracting a function by a constant x is the same as moving the function down x units.

In this question:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = 2^x - 4[/tex]

Thus, the graph of g(x) is the graph of f(x) moved down 4 units.

Answer:

x = 22/3  y = 20/9

Step-by-step explanation:

2x-3y =8 x+3y=14

Add the two equations together to eliminate y

2x-3y =8

x+3y=14

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

3x +0y = 22

Divide each side by 3

3x/3 = 22/3

x = 22/3

Then take the second equation and multiply by -2 and add to eliminate x

2x-3y =8

-2x-6y=-28

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

  -9y = -20

Divide by -9

-9y/-9 = -20/-9

y = 20/9

x = 22/3  y = 20/9

Answer:

The smallest 5 digit number is 10,000 and the greatest 5 digit number is 99,999. There are 90,000 five-digit numbers in all.

Answer:

x = 3

y = 2

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

In a parallelogram , pair of opposite sides are always equal in length.

SOLUTION :-

PQRS will be a parallelogram only when :-

1) Assume that PQ = RS.

[tex]=> 2y + 3 = y + 5[/tex]

[tex]=> 2y - y = 5 - 3[/tex]

[tex]=> y = 2[/tex]

∴ For y = 2 , PQ = RS.

2) Now, assume that PS = QR.

[tex]=> 4x - 3 = 4y + 1[/tex]

(Put y = 2 in the equation)

[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]

[tex]=> 4x - 3 = 9[/tex]

[tex]=> 4x = 9 + 3 = 12[/tex]

[tex]=> x = \frac{12}{4} = 3[/tex]

∴ For x = 3 , PS = QR.

CONCLUSION :-

For x = 3 & y = 2 , PQRS is a parallelogram.

Find the number of girls by subtracting number of boys from total:

726 - 340 = 386 girls

Divide number of girls by total students:

386/726 = 0.53168

Multiply by 100 get get percent:

0.53168 x 100 = 53.168%

Round to the nearest whole percent: 53% are girls

Answer:

Step-by-step explanation:

y = 3*[tex]\sqrt{15}[/tex]

Answer:

88

Step-by-step explanation:

Answer:

under

Step-by-step explanation:

We have the sin²x+cos²x=1, so we can find the cosine if we have the sine,after we have sin,cos, easily to find the tangent by usingtangent =Sine/cosine

Answer:

39

Step-by-step explanation:

Yes, the base of the bicycle rack measures about 15 inches.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

A restaurant owner plans to install this bicycle rack in front of her restaurant.

In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.

The base of the bicycle is ;

In the right angle triangle;

[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]

Yes, the base of the bicycle rack measures about 15 inches.

Hence, Yes, the base of the bicycle rack measures about 15 inches.

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Answer:

length=28 cm

the area = 196 cm²

Step-by-step explanation:

length = 4 × width

2×(4w+w) = 70

2×5w=70

10w=70

w= 7 cm

length = 4×7 = 28 cm

the area = 28 ×7 = 196 cm²

Step-by-step explanation:

girl=16

boy=18

picking a girl at random

the answer is = 1/16

Answer:

ok

Step-by-step explanation: