What is the quotient of 1.892 x 10^8 and 4.3 x 10^3 expressed in scientific notation?​

Answer:

2 ounces are left

Step-by-step explanation:

Sean =

[tex] \frac{5}{8} \times 16[/tex]

= 10 ounces

Gien =

[tex] \frac{1}{4} \times 16[/tex]

= 4 ounces

Sean + gien = 10 + 4 = 14 ounces

so therefore the remaining portion

= 16 - 14 = 2 ounces of cereal is left

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The total volume of the silo is 116.6 m³.

It is a solid where a hemisphere is kept on top of a cylinder sharing common circular bases.

Diameter of the cylinder of the silo= 4.4m

So, the radius r of the cylinder will be = 2.2m

The radius r of hemisphere = 2.2m (same as cylinder due to common circular bases)

Height h of the cylinder = 6.2m

The total volume of the silo will be the combined volume of the cylinder and hemisphere.

The volume of cylinder = [tex]\pi r^{2} h[/tex]

The volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

Total volume = [tex]\pi r^{2} h+ \frac{2}{3} \pi r^{3}[/tex]

total volume = [tex]\pi r^{2} (h+\frac{2}{3} r)[/tex]

Total volume = [tex]\pi *2.2^{2} (6.2+\frac{2}{3} *2.2)[/tex]

Total volume = 116.6 m³.

Therefore, the total volume of the silo is 116.6 m³.

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Answer:

116.6

Step-by-step explanation:

e2020

Answer:

m=21

Step-by-step explanation:

Each side has the same length.

63/3=21

Answer:

We add the two fractions:

6 3/8 + 7 2/5 = 13 31/40 boxes of candy bars.

Answer:

Add the two fractions 6 3/8 + 7 2/5 = 13 31/40

Step-by-step explanation:

First multiply the whole numbers by the denominator then add it to the numerator, then find the most common factor (in the denominators) which is 40 (8x5 and 5x8) and multiply the numerator by the same number as the denominator, you will get 255/40 and 296/40 add them then simplify then you will get 13 31/40, thank you.

The product of the provided binomial numbers (9 t minus 4)(negative 9 t minus 4) is equal to the option B which is,

[tex]-81t^2+16[/tex]

Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,

[tex]p=a\times b[/tex]

Here, (a, b) are the real numbers.

The binomial given in the problem are,

[tex](9t-4)\\(-9t-4)[/tex]

Let the product of the above function is p. Thus,

[tex]p=(9t-4)\times(-9t-4)[/tex]

To find the product of these two binomials, multiply the first term of first binomial with both the terms of the second binomial.

Similarly, multiply the second term of first binomial with both the terms of second binomial. Thus,

[tex]p=9t(-9t-4)-4(-9t-4)\\p=-81t^2-36t+36t+16\\p=-81t^2+16[/tex]

Thus, the product of the provided binomial numbers (9 t minus 4)(negative 9 t minus 4) is equal to the option B which is,

[tex]-81t^2+16[/tex]

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Answer: B

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

B reflected across the x-axis would be (-3, 1), so C is (-3, 1)

the distance between B and C is 6

Let me know if this helped

Answer:

4 points

Step-by-step explanation: One: there are two points in between B and c Two: it is skip counting in by two's so you should do the same when calculating the distance.

Hope this helped!

Answer:

The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz

Step-by-step explanation:

The volume of the ammonia and water mixture = 5 gallons

The percentage of ammonia in the mixture = 80%

The volume of ammonia desired = 5 gallons

The percentage concentration of ammonia desired = 50%

The diluting solution = Pure water

The measure of 4 quarts = 1 gallon

Therefore, we have, by equivalence solutions;

80% × x gallon = 50% × 5 gallons

x gallon = 50% × 5 gallons/(80%) = 3.125 gallons

x = 3.125 gallons

The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons

4 quarts = 1 gallon

1 gallon = 4 quarts

∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz

The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz

Answer:

36×6

Step-by-step explanation:

(6)(6)(6)

6×6×6

36×6

216

The answer is:  " 6³ " .

__________

Step-by-step explanation:

Note:  " (6)(6)(6) " ;  is the value of the  

[number "6" ; multiplied by that same number, "6" —two additional times;

   → so the same number, "6" ;  being multiplied:  "3 (three) times'

                 =  6 * 6 * 6  =  6³  ;  that is:  the number "6", raised to the third power (as an exponent);

    →  since: there are 3 (three) of the same numbers being multiplied;

            ⇒ hence the exponent, "3" .
__________

The answer is:  " 6³ " .
 __________
Hope this helps!

Answer:

D.

Step-by-step explanation:

To get the rectangle, multiply 10*3 = 30

Then to find both triangles, multiply 10*5=50

30+50=80

Let me know if this helped <3

Answer:

130 ft.

Step-by-step explanation:

the rectangle area is 30, cause l×h = area

triangle area is b×h and theres two so 5 x10 = 50 then multiply by 2 again so 100

then add both sums: 100+30 equalsssss 130.

it would be 0.1 kilograms per apple

Answer:

y = 7

x=3

z=3

Step-by-step explanation:

we have, 5y +5=40

5y = 40 - 5

5y=35

y= 35/5

x=7

and, x + 10 = 13

x=13-10

x=3

10z-3 = 27

10z = 27 +3

10z = 30

z= 30/10

z = 3

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[tex]\\ \rm\Rrightarrow 5(10x+15)+2(14x)+6x-3=1080[/tex]

[tex]\\ \rm\Rrightarrow 50x+75+28x+6x-3=1080[/tex]

[tex]\\ \rm\Rrightarrow 84x+72=1080[/tex]

[tex]\\ \rm\Rrightarrow 84x=1008[/tex]

[tex]\\ \rm\Rrightarrow x=1008/84[/tex]

[tex]\\ \rm\Rrightarrow x= 12[/tex]

Answer:

d.How many students attend your class each day?

Dr Matthews can be asked How many students attend your class each day?

The practise or science of organising and interpreting numerical data in big quantities, particularly for the objective of concluding proportions in a whole from those in an expected sample.

Dr Matthews can be asked How many students attend your class each day?

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The factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).

A factor of n is a number which when multiplied by another number gives us the number n.

In order to factorize the polynomial 6x³ – 12x² + 7x – 14, we need to take the common terms out of the given polynomial, therefore, the polynomial can be factorized as,

[tex]6x^3-12x^2+7x - 14 \\\\[/tex]

Taking the common term 6x² out from the first two terms, and then 7 from the next two terms, therefore, the polynomial can be written as

[tex]6x^3-12x^2+7x - 14 \\\\= 6x^2(x-2)+7(x-2)\\\\=(6x^2 +7)(x-2)[/tex]

Hence, the factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).

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Answer:

A

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

1/4 * 2 = 0.5

0.5 - 1.5 = -1

Answer:

3/4

Step-by-step explanation:

subtract 2 1/4 by 1 1/2 by turning them into improper fractions

9/4 and 3/2

then convert both denominators to 4

9/4 and 6/4

subtract 9 by 6 and u get 3

9/4-6/4=3/4

Answer:

The total cost of the companies will be the same after 6 visits. The cost will be $40 after 6 visits

Step-by-step explanation:

The equations secx+cosecy = 2, and sinx+cosy=k are trigonometry equations

The result of [tex]\frac {3k}4[/tex] is [tex]\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]}[/tex]

The equations are given as:

secx+cosecy = 2, and sinx+cosy=k

Divide both equations

[tex]\frac{\sin(x) + \cos(y)}{\sec(x) + \csc(y)} = \frac k2[/tex]

Divide through by 2

[tex]\frac{\sin(x) + \cos(y)}{2[\sec(x) + \csc(y)]} = \frac k4[/tex]

Express sec and cosec as inverse ratios

[tex]\frac{\sin(x) + \cos(y)}{2[1/\cos(x) + 1/\sin(y)]} = \frac k4[/tex]

Take the LCM

[tex]\frac{\sin(y)\cos(x)[\sin(x) + \cos(y)]}{2[\cos(x) + \sin(y)]} = \frac k4[/tex]

Expand

[tex]\frac{\sin(y)\cos(x)\sin(x) + \sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]} = \frac k4[/tex]

Multiply through by 3

[tex]\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]} = \frac {3k}4[/tex]

Rewrite as:

[tex]\frac {3k}4 =\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]}[/tex]

Hence, the result of [tex]\frac {3k}4[/tex] is [tex]\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]}[/tex]

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Answer:

363-138=-5x

Step-by-step explanation:

Let c = cost

We know that the total cost is $363:

363-??????

We also know that he spent $138 on parts:

363-138?????

And we are solving for the cost of labor per hour:

363-138=5x

We can use this equation to find the total cost of labor per hour.

Hence, your equation will be 363-138=5x

Answer:

cost of 1 kg of washing powder is $1.2

Step-by-step explanation:

9 kg = $10.80

cost for 1 kg =

Answer:

1.2

Step-by-step explanation:

How I would calculate it would be 10.80 divided by 9 or start timesing 1 with a decimal like 1.1 or 1.2.

but anyway 10.80 divided by 9=1.2 and if you just want to make sure then what is 1.2 x 9 it = 10.80

Here is my calculations for what is 1.20 x 9   

 1 . 20

       9

_________

 10   . 8 0  

Since there is no didget beside the 2 you would add a zero

since 9 x 2=18 you add a 1 for 1 x 9 =9 + 1=10 and there's your answer.

Answer=1.2

Hope this helps have a great day:)

Answer:

The equation represents the function on the graph will be  Sin 2x

Given : Graph in diagram.

According to the given trigonometry function shape either of sine or cosine.

Here, it is intersecting at the origin it is likely a sine graph. A normal sine graph starts at Origin, crests out at 1 , and it crosses back down at the x-axis at (3.14, 0).

We knows this graph starts at origin and crosses back again at half that value. This graph is horizontally compressed on multiplying of a number maximum than 1.

Therefore, this graph is Sin 2x.

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Step-by-step explanation:

welcome

Answer:

3/14

Step-by-step explanation:

Put the number of students that want to be a therapist AND have a fear of height (this would be 3) over the TOTAL amount of students in the sample, in this case it's 14.

so it's 3/14 and it doesn't simplify

you're welcome

Answer:

21%

Step-by-step explanation:

First we need to find the total amount of people that did the personality test. We can do that by adding all the numbers in the table

[tex]4+5+2+3=14\\[/tex]

now, to find the percentage of students that want to be a therapist and a fear of heights, we simply divide the number of students who fit that demographic by the total number of students

[tex]3/14= 0.214[/tex]

therefore, there is a 21% chance of picking a student in that demographic at random

Answer:

Fractions and whole numbers ordered on the number line are similar because it tells parts throughout the line, like skip counting using adding or subtraction for example.

What's different from them is because the fractions tell the parts more detailed between the whole numbers, such as 2 3/4 as a fraction on the number line. And 3 as a whole number on the number line.

Step-by-step explanation:

Answer:

0.65 liters

Step-by-step explanation:

Step-by-step explanation:

milliliters change to liters

So,Gracie's bottle hold is 0.65 liters

Answer:

A

Step-by-step explanation:

First, multiple 3 by 44 to find the number of pencils total. 3x44=132.

Then, divide 22 into 132. 132/22=6.

Therefore, each student received 6 pencils.

Answer:

9 yards

Step-by-step explanation:

from the maple-> end, it is 28 2/6 yards. that means we add the segments that are already there to find how much of 28 2/6 is there between the maple and oak.

11 3/6 + 7 5/6 = 19 1/3

28 2/6 - 19 1/3 = 9

Answer:

F(4)=8

Step-by-step explanation:

F(x)=2(x)

F(4)

Replace x with 4

F(4)=2(4)

Multiply

F(4)=8

Answer:

Step-by-step explanation:

Use the property of 45°x45°x90° and 30°x60°x90° right triangles.

Ratio of sides:

Find the longer leg of the second triangle:

Find the value of x, of the first triangle: