A cylindrical soup can has a radius of 1.5 in. and is 4.6 in. tall. Find the volume of the can.

D. 3⁴t⁴ =81t⁴.

81t⁴ is going to be your answer.

Here is how you get it:

3t(3)t(3)t(3)t =3*t*3*t*3*t*3*t

=81*t^4

=81t^4

0.99 > 0.1 Because 0.1,0.2,0.3 ect

.1 written is written as .10

.99 is closer to one

That makes .10 less than .99

For this reason, .99 is greater than .10

Another example you could grasp is .5 .17

.5 is written as .50

.50 is closer to one making it closer to 1 and thus .5 is greater than .17

Due to all of the explanations provided above, .99 is greater than .1

Answer: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

[tex]x = -\frac{17N+r}{N-34}[/tex]

Step-by-step explanation:

[tex]N(17+x)=34x-r\\17N+Nx=34x-r\\Nx-34x=-r-17N\\x(N-34)=-r-17N\\x=\frac{-r-17N}{N-34}[/tex]

It's 6. (1.2)x5 is just 1.2x5, which equals to 6.

Answer:

Shyam's original investment was $4000.

Step-by-step explanation:

Suppose, Shyam's original investment was  [tex]x[/tex] dollar.

In the first year, his stock increased 20%. So, the value of the stock will be: [tex](x+0.20x)=1.20x[/tex] dollar.

He paid his stock broker $300 and then lost $450. So now, the value of the stock will be:  [tex](1.20x-300-450)=(1.20x-750)[/tex] dollar.

He then withdrew $500, so the value of the remaining investment [tex]=(1.20x-750-500)=(1.20x-1250)[/tex] dollar and this remaining investment doubled now.

So, the value of the investment now [tex]=2(1.20x-1250)[/tex] dollar, which is given as $7100.

Thus, the equation will be.......

[tex]2(1.20x-1250)=7100\\ \\ 2.40x-2500=7100\\ \\ 2.40x=7100+2500=9600\\ \\ x=\frac{9600}{2.40}=4000[/tex]

So, Shyam's original investment was $4000.

Variables are any letter so in the case of your equation the variables would be f and x.

Answer:

141 Square units.

Step-by-step explanation:

Area of a circle is equal to pi*radius squared.

[tex]A = \pi \times 6.7^{2} \\A = 141.026....\\A \approx 141 u^2[/tex]

Answer:

A = 141 m²

Step-by-step explanation:

The formula of an area of a circle with radius r:

[tex]A_O=\pi r^2[/tex]

We have r = 6.7m. Substitute:

[tex]A_O=\pi\cdot6.7^2=\pi\cdot44.89\approx3.14\cdot44.89=140.9546\approx141\ m^2[/tex]

Answer:

[tex]5a^2+12b^2-40b[/tex]

Step-by-step explanation:

First distribute the -4 to the 2b and -3b. This leaves you with [tex]5a^2-8b+12b(b+4)[/tex]

Now you can distribute the 12b to b and +4. This leaves you with [tex]5a^2-8b+12b^2+48b[/tex]

Now you can combine your like terms leaving you with [tex]5a^2+12b^2-40b[/tex].

Maria has completed 60% of her total deliveries this week. This was calculated by creating a ratio of completed deliveries to total deliveries, converting this ratio to a decimal, and then converting the decimal to a percentage.

To find what percentage of deliveries Maria has completed, we start by creating a ratio of completed deliveries (48) to total deliveries (80). This ratio is expressed as a fraction, so we write it as 48/80.

Next, we convert this fraction to a decimal by dividing the numerator (top number) by the denominator (bottom number). So, 48 ÷ 80 = 0.6

To convert the decimal to a percentage, we multiply by 100, so 0.6 x 100 = 60%.

Therefore, Maria has completed 60% of her total deliveries so far.

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To calculate the percentage of total deliveries Maria has completed, divide the number of completed deliveries by the total number of deliveries and multiply by 100. Thus, Maria has completed 60% of her total deliveries.

To find out what percentage of total deliveries Maria has completed, we can use the method of finding a percentage of a whole. Essentially, this involves taking the number of completed deliveries, dividing it by total number of deliveries and then multiplying by 100.

In Maria's case, she's completed 48 deliveries out of a total of 80 deliveries. Therefore:

Percentage = (Number of completed deliveries / Total deliveries) x 100

So the percentage of completed deliveries = (48 / 80) x 100 = 60%

Therefore, Maria has completed 60% of her total deliveries.

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Answer: .125 or 1/8

Step-by-step explanation: *Use a tree diagram*

The probability of 3 times coming head is 1/8.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

Three coins are flipped.

The probability of the coin coming head is;

[tex]\rm P(head)=\dfrac{1}{2}[/tex]

The probability of 3 times coming head is;

[tex]\rm P(heads,\ heads, \ heads)=\dfrac{1}{2} \times \dfrac{1}{2} \times\dfrac{1}{2} \\\\ P(heads,\ heads, \ heads)=\dfrac{1}{8}[/tex]

Hence, the probability of 3 times coming head is 1/8.

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Answer

Density of Sugar is 1.59 grams per milliliter.

Step-by-step explanation:

The answer is required to be given in grams per milliliter.

So we should first convert the values to match the units.

Sugar is given as 500 grams so we don't need to change the units.

Volume is given in liters. So we need to change it to milliliters.

There are 1000 milliliters in 1 liter.

Therefore,

[tex]0.315[/tex] liters = [tex]0.315*1000[/tex] milliliters

                                  =[tex]315[/tex] milliliters

Density of Sugar       = {Number of grams of Sugar/ Volume of the Solvent]

                                  =500 grams / 315 milliliters

                                  =1.59 grams per milliliter (Answer is given to 2 decimal places)

Final answer:

The density of sugar given the mass of 500 grams and a volume of 0.315 liters is calculated as 1.587 grams per milliliter (g/mL) after converting liters to milliliters.

Explanation:

To calculate the density of sugar in grams per milliliter (g/mL), we utilize the formula density = mass/volume.

Given that we have 500 grams of sugar occupying a volume of 0.315 liters, first, we need to convert the volume from liters to milliliters for consistency in units, knowing that 1 liter equals 1000 milliliters.

Thus, 0.315 liters is equal to 315 milliliters.

Applying the formula, the density = 500 grams / 315 milliliters.

Therefore, the density of the sugar is 1.587 g/mL.

This value indicates the mass of sugar that would occupy a one milliliter volume.

Answer:

C would be able to verify the equation.

Step-by-step explanation:

In order to tell if any equation is a inverse, you can plug one equation in for x in the other. If the result is y = x, then it is an inverse. C is putting f(x) in for x in the g(x) equation. If you multiply this out, it comes out to y = x

A function assigns the values. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

If two functions are inverse of each other, then their composition is equal to the variable, in this case, it is x. Since f(x)=3x, while g(x)=1/3x, therefore, we can write,

g(f(x))

= 1/ 3(3x)

Hence, the correct option is C.

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[tex]\dfrac{q+5}{-3}\cdot\dfrac{-3q}{q+2}=\dfrac{(q+5)(-3q)}{(-3)(q+2)}\qquad\text{use distributive property}\\\\=\dfrac{(q)(-3q)+(5)(-3q)}{(-3)(q)+(-3)(2)}=\dfrac{-3q^2-15q}{-3q-6};\ q\neq(-2)[/tex]

Based on unit conversions, the weight of the parcel to the nearest whole kilogramm is 6 kg.

The weight in kilogram can be determined using unit conversions from pounds to kilograms as follows:

The weight of the parcel = 12 lbs 8 oz.

1 lb = 16 oz

12 lbs 8 oz = 200 oz (192 + 8)

200 oz = 12.5 lbs (200 ÷ 16)

1lb = 454 g

12.5 lbs = 5,675 g (12.5 x 454)

1,000 g = 1 kg

5,675 g = 5.675 kg (5,675 ÷ 1,000)

Approximation:

5.675 kg ≈ 6 kg.

Thus, we can conclude that 12 lbs 8 oz equals 6 kilograms approximately.

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To find the weight of Adam's parcel to the nearest whole kilogram, first convert the weight from pounds and ounces to grams, and then convert to kilograms. After conversions and rounding, the parcel weighs approximately 6 kilograms.

The question asks to convert the weight of a parcel from pounds and ounces to kilograms. We'll start by converting the entire weight into grams and then convert grams to kilograms, rounding to the nearest whole number.

To convert 12 lbs 8 oz to grams, we need to convert the pounds and ounces separately and then add them together. There are 16 ounces in a pound, so 12 lbs is the same as 192 oz (12 lbs x 16 oz/lb). Therefore, the total weight in ounces is 192 oz + 8 oz = 200 oz.

Next, we convert the ounces to grams using the fact that 1 oz = 28.35 g. So, 200 oz is equal to 200 oz x 28.35 g/oz = 5670 g. To convert grams to kilograms, we use the fact that 1 kg = 1000 grams. Hence,

We then divide the weight in grams by 1000 to get the weight in kilograms: 5670 g \/ 1000 = 5.67 kg. Since we want to round to the nearest whole kilogram, we round 5.67 kg to 6 kg.

Therefore, Adam's parcel weighs approximately 6 kilograms when rounded to the nearest whole number.

Answer:

the answer is A

Step-by-step explanation:

you just subtract the y2 by the y1

Answer:

Midpoint of the vertical line segment graphed below is:

(2, -2.5)

Step-by-step explanation:

Mid point of (x1,y1) and (x2,y2) is (a,b)

where [tex]a=\dfrac{x1+x2}{2}\ and\ b=\dfrac{y1+y2}{2}[/tex]

Here, (x1,y1)=(2,4) and (x2,y2)=(2,-9)

[tex]a=\dfrac{2+2}{2}\ and\ b=\dfrac4-9}{2}[/tex]

⇒ a=2 and b= -5/2= -2.5

Hence, midpoint of the vertical line segment graphed below is:

(2, -2.5)

[tex]\dfrac{1}{2}at^2=V\qquad\text{multiply both sides by 2}\\\\at^2=2V\qquad\text{divide both sides by}\ a\neq0\\\\t^2=\dfrac{2V}{a}\to\boxed{t=\sqrt{\dfrac{2V}{a}}}[/tex]

In every number you are dividing by 100 hope this helps 1234 ÷100 = 123.4÷100=12.34 ect...

Answer:

actually you divide by 10. 1234÷10, 123.4 ÷10, etc.

Step-by-step explanation:

280mi: 14h Divide to get it over one

20mi : 1 h multiply by five

100mi:5h

Hope it helps!!

Answer:

The range is all real numbers or (-∞, ∞)

Step-by-step explanation:

You can  plug in any real value of x into this function to output another real value.

Answer:

The answer is: {y|y>9}

The correct answer is B. 33%

In order to find the percentage of success, you need to take the amount of numbers for success and divide by the total number of options. 0-8 represents 9 different options. 0-2 represents 3 possible successes. Therefore, we divide 3 by 9.

3/9 = 33%

A number is represented by = n.

We need to write an expression for "an expression for the quantity of four less than the square of this number divided by the quantity five more than four times the number ".

Let us break the statement into smaller parts.

"The quantity of four less than the square of this number(n)".

Square of n is = n^2.

4 less than n^2 = n^2 -4.

"This number(n) divided by the quantity five more than four times the number"

4 times the number n = 4×n = 4n.

Five more than four times the number = 4n +5.

Therefore, we can repharse given statement by an easy way as:

" 4 less than n^2 is divided by (4n+5)."

or (n^2 - 4) ÷  (4n+5).

In fraction form : [tex]\frac{n^2 - 4}{4n+5}[/tex]

Therefore, final expression would be [tex]\frac{n^2 - 4}{4n+5}[/tex].

The expression for the quantity of four less than the square of a number divided by the quantity five more than four times the number is (n^2 - 4) / (4n + 5)

To write an expression for the quantity of four less than the square of a number divided by the quantity five more than four times the number, we can represent the number as 'n'.

The square of the number is written as n2.

Four less than the square of the number is (n2 - 4).

Five more than four times the number is (4n + 5).

Therefore, the expression for the given quantity is:

(n2 - 4) / (4n + 5)

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Answer:

2.5*10^3 times greater, or 2500 times greater.

Step-by-step explanation:

Dividing 8.5*10^8 by 3.4*10^5 will yield the desired answer (which is a ratio).  Note:  108 and 105 MUST be written with the symbol " ^ " to denote exponentiation.

8.5*10^8

--------------- = (8.5 / 3.4)*10^(8-5)    =   2.5*10^3

3.4*10^5

4) 600

Using the equation 450=0.75(x)

you find x and you get 600 since it needs to be 75% of a number to be 450

6) 500

Using the equation 75=0.15(x)

You find  and you get 500

First Solving for like terms such as 2x+-4x = -2

x+7=2x+5−4x

x + 7 = 2x + 5

x + 2x = 5 - 7

3x = -2

x = -2/3

So the answer should be to combine the like terms in step two. x + 7 = -2x + 5

f(-4) = 3(-4)^2 - 2(-4)

f(-4) = 3(16) + 8

f(-4) = 48 + 8

f(-4) = 56

I think the answer is 56 :)

Please give BRAINIEST :)

The answer is 56

Here's how I got my answer:

Step 1: Replace all the x's in the equation. Which leaves us with [tex]3(-4)^2-2(-4)[/tex]

Step 2: Solve [tex]-4^2[/tex], which is [tex]16[/tex]. That leaves is with [tex]3(16)-2(-4)[/tex]

Step 3: Solve [tex]2(-4)[/tex], which is [tex]-8[/tex]. That leaves us with [tex]3(16)+8[/tex]

Step 4: Solve [tex]3(16)[/tex], which is [tex]48[/tex]. That leaves us with [tex]48+48[/tex]

Step 5: Simplify [tex]48+48[/tex] to get your answer, 56.

joans sister walked 3 times farther.

there are 60 minutes in an hour so

t = 1 45/60  = 1 3/4

t = (4 * 1 + 3)/4  = 7/4

$ 8* 7/4 = 56/4 = $14

they will charge $14.00