A cube has a volume of 216cm/3.what is the area of the base of the cube

Answer:

A solution of a system of equations is a list of numbers x , y , z ,... that make all of the equations true simultaneously. The solution set of a system of equations is the collection of all solutions. Solving the system means finding all solutions with formulas involving some number of parameters.

Step-by-step explanation:

hope it will help you

Answer:

Step-by-step explanation:

In this context "solution" means a point whose x- and y-coordinates satisfy both equations.

If we're given the two linear equations x + y = 3 and 2x - y  = 7, we can solve them by addition and subtraction (among other methods):

3x = 3 + 7, or 3x = 10, or x = 10/3.  

Substitute this result into x + y = 3 to find the corresponding y value;  

10/3 + y = 3, or 10/3 + y = 9/3, or y = 1/3.  

Then the "solution" is the point (10/3, 1/3).

Answer:

The right option is option e.T-shaped.

Step-by-step explanation:

The molecular geometry or shape of clf3 is T-shaped. It acquires such shape because of presence of two lone pairs which take equatorial position and there are greater repulsions. The hybridisation is sp3d and it has 2 lone pairs

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Option e) T-shaped

The shape or molecular geometry  of ClF₃ is T-shaped. It acquires such a shape due to the presence of two lone pairs in the equatorial position and has greater repulsion. The hybrid is sp³d and it has 2 lone pairs.

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Answer:

Let x be the number

double x = 2 x

square the result  (2x)^2

(2x)^2 - x     subtract the original number

4 x^2 - x = 33

4 x^2 - x - 33 = 0

Solve the quadratic

(1 +- (1 + 4 * 132)^1/2) / 8

= (1 + 528^1/2) / 8 = (1 + 23) / 8   = 3    using the positive exponent

Check:

(2 * 3)^2 - 3 = 36 - 3 = 33

The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

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Griffin used $38 on his credit card as He had a $19 credit that he applied toward the purchase, and then he used a credit card to pay for the rest of the cost.

In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

57-19 =38

Griffin used $38 on his credit card because he had a $19 credit that he applied toward the purchase, and then he paid the remainder with a credit card.

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Answer:

the x intercept is (2,0) and the y is (0,-8)

⇒Given that the general rule to find the nth term is

\(T_{n} =-2+6(n-1)\)

⇒To find the 11th term this means that they need a term which is in the position 11

⇒To get the number we plug in the 11 which is the position in the place of n and simplify.

\(T_{11} =-2+6(11-1)\\T_{11} =-2+6(10)\\T_{11} =-2+60\\T_{11} =58\)

The 11th term is 58

Goodluck!!!

Company starts to turn a profit when number of items sold is less than 20, when it is given that fast-food restaurant has a cost of production c(x) = 11x + 120 and revenue function r(x) = 5x.

Step 1: Profit function is given by: P(x) = r(x) - c(x)

Here, r(x) = 5x and c(x) = 11x + 120.

Substituting these values in the above equation:

P(x) = 5x - (11x + 120)P(x)

= -6x - 120

So, profit function of the company is P(x) = -6x - 120

Step 2: Find when the company starts to turn a profit

Company starts to turn profit when P(x) > 0.

Substituting P(x) from step 1:

P(x) > 0-6x - 120 > 0

Add 120 to both sides-6x > 120

Divide by -6  and reverse the inequality : x < -20

Therefore, the company starts to turn a profit when the number of items sold is less than 20.

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Answer:

totoy bilat yan po ung sagit

Step-by-step explanation:

mo maitim

Answer:

its D and A

Step-by-step explanation:

did the assigment gl

Answer:

15,300 ft or 2.9 miles

Step-by-step explanation:

Distance = Rate * Time (but rate and time must be in the same units)

convert hours to minutes

1 hr * 60 min/hr = 60 min

then

D = 255 ft/min * 60 min

D = 15,300 ft

if you want miles, convert ft to miles (5280 ft per mile)

15,300 ft * 1 mi/5280 ft

2.9 mi

Answer:

The volume of the solid figure = Volume of the first cuboid + Volume of the second cuboid

The volume of the solid figure = 15×5×5 + 5×5×10

Or, The volume of the solid figure = 375 + 250

Or, The volume of the solid figure = 625 inch³

Therefore, the volume of the solid figure = 625 inch³

Step-by-step explanation:

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Probabilities are used to determine the chances of events

The probability that Jill selects a wooden pencil and then a mechanical pencil is 8%

Represent the events as follows:

So, we have

P(A) = 20%

P(B) = 40%

P(C) = 30%

The probability that Jill selects a wooden pencil and then a mechanical pencil is then calculated as:

P(B n A) = P(B) * P(A)

This gives

P(B n A) = 40% * 20%

Evaluate the product

P(B n A) = 8%

Hence, the probability that Jill selects a wooden pencil and then a mechanical pencil is 8%

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Answer:

\( {6}^{ - 3} \\ = \frac{1}{ {6}^{3} } \\ = \frac{1}{216} \)

Answer:

1/6^3

Step-by-step explanation:

6^-3

1/6^3

Note if any base has it's power negative then just do its reciprocal the exponent will be positive.

For example:

5^-y

1/5^y

Answer:

y = 6.75x

Step-by-step explanation:

$33.75 ÷ 5 = $6.75

$47.25 ÷ 7 = $6.75

So we have y = 6.75x.

In order to estimate the coefficients of linear regression equations that explain the connection between one or more independent quantitative variables and a dependent variable, researchers frequently use the ordinary least squares regression (OLS) method (simple or multiple linear regression), this is ordinary about it.

Because it is the smallest sum of squares of errors, also known as the "variance," the term "least squares" is employed. In a regression analysis, independent variables are shown on the horizontal x-axis and dependent variables are shown on the vertical y-axis.

A linear regression approach that is used to estimate a model's unknown parameters is known as the ordinary least squares (OLS) method.

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We have this diagram:

We have to calculate D, using the Pythagorean theorem:

A catcher standing at home plate is at 127 ft across the diagonal from second base.

Answer:

x = 12

Step-by-step explanation:

30 degrees and 4x+2 are equal to 8+6x

First, write a formula or expression:

30 + 4x+2 = 8+6x

simplify this by collecting like terms

32 + 4x = 8+6x (minus 6x from both sides)

32 - 2x = 8 (minus 32 from both sides)

-2x = -24 (divide by -2)

x = 12

now sub into the formula:

30 + (4 × 12 +2) = 8 + 6 × 12

80 = 80

Answer:

C) 88

Step-by-step explanation:

20 out of 50 is same ratio as:

Applied to the number 220 we get:

So expected number is 88

Correct answer choice is C

Answer:

28 g. ................

Answer:

The volume of this cylinder is 9184.5 cubic feet.

Step-by-step explanation:

The area of a circle is \(\pi r^2\) and the volume of a cylinder with that base is just that area times the height:

\(V=\pi r^2\times h\)

Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:

\(r=30\times0.5=15\)

Next, you can use that radius to calculate the area of the base:

\(A=3.14\times15^2\\A=3.14\times225\\A=706.5\)

Finally, multiply that by the height to find the volume of the cylinder:

\(V=706.5\times13\\V=9184.5\)

The volume of this cylinder is 9184.5 cubic feet.

The value of x where by exterior angles theorem, ∠DCO equals 2·x, 69° equals the sum of ∠DCO and x° is x = 23°

The exterior angles theorem states that the exterior angle of a triangle is equal to the sum of the opposite interior angles.

The given parameters are;

Points on the circle are; ABCD

Straight lines = AOBE and DCE

Segment CO = Segment CE

∠AOD = 69°

∠CEO = x°

∠OCD = ∠ODC base angles of isosceles triangle

69° = ∠x° + ∠ODC exterior angle of a triangle

∠DOC = 180 - 2×∠ODC (Angle sum property of a triangle)

180 - 2×∠ODC + x° + 69° = 180° (Sum of angles on a straight line are supplementary)

x° + 69° - 2×∠ODC = 0

∠ODC = 2·x° (exterior angle of a triangle is equal to the sum of the opposite interior angles)

69° = x° + ∠ODC = x° + 2·x° = 3·x° (substitution property of equality)

69° = 3·x°

x = 69° ÷ 3 = 23°

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The volume of the solid bounded about the region y =0 and x = 1 is equal to (16/105)π cubic units.

Volume of the solid y = √x bounded in the region y = 0 and x = 1.

Revolved about the x = 1 line.

Use disk method we have,

Divide the given region into infinitesimally thin disks.

Disks are perpendicular to the given axis of rotation.

Required volume = Sum of the volume of all disks

Radius of each disk

= distance from the given line of rotation to boundary of solid

= 1 - x.  

Height of each disk

= upper boundaries - lower boundaries

= √x - 0

= √x

Volume of the disk

= \(\int_{0}^{1}\)π( 1 - x)²√x dx

= π\(\int_{0}^{1}\)( √x - 2x^(3/2) + x^(5/2) ) dx

= π [( 2/3)x^3/2 - (4/5)x^(5/2) + (2/7)x^7/2 ]\(|_{0}^{1}\)

= π[(2/3) -(4/5) + (2/7) ]

= (16/105)π cubic units

Therefore, the required volume of the solid is equal to (16/105)π cubic units.

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The above question is incomplete , the complete question is:

Find the volume of the solid that results when the region bounded by y=√x , y=0, x=1 is revolved about the line x = 1

Answer:

208 Feet

Step-by-step explanation:

Hope this helps sry if i'm wrong

Answer:

2 x 10 = 20, 20 x 2 = 40

10 x 7 = 70, 70 x 2 = 140

7 x 2 = 14, 14 x 2 = 28

Let's add all the given lengths:

140 + 40 + 28 = 208 in^2 is your answer

Brainliest please :)

Answer:

z=6 and z=-6

Step-by-step explanation:

\(7z^2=252\)

Divide both sides by 7

\(\frac{7z^2}{7} =\frac{252}{7} \\z^2=36\)

Find the square root

z=±√36

z=±6

Therefore, z=6 and z=-6.

I hope this helps!

The answer is:

z² = 6, -6

Work/explanation:

The equation is:

\(\sf{7z^2=252}\)

To solve further, divide each side by 7.

\(\sf{z^2=36}\)

Now, square root each side. Take caution, however, when you're taking the square root of a number, you get two solutions that are opposites of each other:

\(\sf{\sqrt{a^2} =a,-a}}\)

Similarly

\(\sf{z^2=6,-6}\)

Answer:  x=12,-4

Step-by-step explanation:

Answer:

She had 80 emails.

Step-by-step explanation:

Answer:

Choice C

Step-by-step explanation:

First when we are looking for a system of equations that has no solution we are looking for two lines that won't intersect and the only lines that would never intersect are parallel lines.

Ok so what we are looking for is an equation with the same slope but different y-intercept. A parallel line should go at the same rate like the other line but shouldn't start at the same point.

\(y=\frac{1}{3}x-7\)

Analysing Choice A:

\(y=3x+2\)

We just said that the slope has to be the same so this one can't be it.

Analysing Choice B:

For this one we have to put it in slope-intercept-form.

\(3y-x=-21\\3y=x-21\\y=\frac{1}{3}-7\)

So we see that the slope is the same for this one and and the y-intercept is also the same which is NOT what we need so on tho the next one.

Analysing Choice C:

For this one we also have to put it in slope-intercept-form.

\(y-2=\frac{1}{3}(x+1)\\y-2=\frac{1}{3}x+1\frac{1}{3}\\y=\frac{1}{3}x-\frac{2}{3}\)

We see that the slope are the same and the y-intercept are different so this is the one we are looking for.

Sorry but for the sake of time I won't analyze choice D.

Answer:

It depends

Step-by-step explanation:

Based on the given info it depends on how much the recipe calls for.  32 fluid ounces is equal to 4 cups, 1 quart, .25 gallons, 64 tablespoons, 192 teaspoons, and 2 pints.  I really hope this answer helped you, and it honestly depends on how much the recipe calls for. :)

Answer:7

Step-by-step explanation:

The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.

Given that the expenses on petrol be R4850.00 at the end of September, balance is R 106360.00, usage on income of salaries be 25%, on electricity,rates and taxes be 11%, 42% of the remaining on insurance and investments.

We are required to find the total income and expenditure in September.

Generally the equation for insurance is mathematically given as :

Insurance=42% of the balance

Insurance=0.42*0.64A

Insurance=0.2688A.

Generally the equation for the total after all the other expenditures is mathematically given as:

Total expenditure after all other expenditures=0.64A-0.2688A

Total expenditures after all other expenditures=0.3712A.

Total expenditures after all other expenditures is as 111210 (106360+4850)

Equating both the equation and value:

111210=3712A

A=299596

The total income is 299596.

Therefore the calculation of expense is given as:

Expense=0.25A+0.11A+0.2688A+4850

Expense=0.6288A+4850

=0.6288*299596+4850

=193236

The expense is 193236.

Hence the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.

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The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.

We have to find the total income and expenditure in September.

The equation for insurance is mathematically given as :

Insurance = 42% of the balance

Insurance=0.42*0.64A

Insurance=0.2688A.

Total expenditure after all other expenditures = 0.64A-0.2688A

Total expenditures after all other expenditures = 0.3712A.

Total expenditures after all other expenditures is as 111210 (106360 +4850)

Equating both the equation and value:

111210 = 3712 A

A = 299596

Thus The total income is 299596.

Therefore the calculation of expense is given as:

Expense=0.25A+0.11A+0.2688A+4850

Expense=0.6288A+4850

=0.6288*299596+4850

=193236

The expense is 193236.

Hence, the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.

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