A wire costs $3 / meter. How much will 10 km of wire cost?

Step-by-step explanation:

Length of the plastic cube (L) = 12 cm

Volume of the cube

= L³

= ( 12)³

= 1728 cm³

Hope it will help :)❤

Answer:

The price of the shirt is $24.63.

Step-by-step explanation:

Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:

x + (x - 15) = 34.26

Simplifying, we get:

2x - 15 = 34.26

Adding 15 on both sides:

2x = 49.26

Dividing by 2:

x = 24.63

Therefore, the price of the shirt is $24.63.

Part(a),

The equation connecting the quantity of bacteria y to the time t is

\(y = 610 \times (1.5)^{\frac{t}{6}}\)

Part(b),

After 11 days there will be 1405 microorganisms.

(a) The continuous exponential growth model can be written as:

\(y = y_0 \times e^{rt}\)

where y₀ is the initial population, r is the growth rate, t is time, and y is the population at time t.

Considering that the population at time t=6 days was 915 and that the original population, y₀, was 610. These numbers can be used to find the growth rate r:

\(915 = 610 \times e^{6r}\)

\(e^{6r} =\dfrac{ 915}{610} = 1.5\)

When we take the natural logarithm of both sides, we obtain:

6r = ln(1.5)

r = ln(1.5)/6

The population y at time t formula can now be written as follows:

\(y = 610 \times e^{t \times ln\frac{(1.5)}{6}\)

Simplifying this expression, we get:

\(y = 610 \times (1.5)^{\frac{t}{6}}\)

As a result, the equation connecting the quantity of bacteria y to the time t is as follows:

\(y = 610 \times (1.5)^{\frac{t}{6}}\)

(b) Use the formula derived in component (a) to determine the number of bacteria 11 days after the study's start.

\(y = 610 \times (1.5)^{\frac{11}{6}}\)

y ≈ 1405

Eleven days after the study's start, we can estimate that there are roughly 1405 microorganisms by rounding to the next whole number.

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When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.

A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.

Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.

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The three numbers given in the question : 21 , 72 and 62 do not have any common factor.

The common factors are those that are found in both lists

Example: Factors of 12 and 30

Factors of 12 are 1, 2, 3, 4, 6 and 12

Factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30

Thus common factor = 1, 2, 3, 6

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

Given numbers : 21,72 and 62

Factors of 21 = 3 and 7

Factors of 72 = 2 and 3

Factors of 62 are 2 and 31

Thus these three numbers do not have any common factor.

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Answer:

3/3

Step-by-step explanation:

The function is called deep binding.

In deep binding, When the function is created, It uses the environment.
Shallow binding : In shallow binding, When the function invokes, it uses the environment.
Ad hoc binding : In Ad hoc binding, when the uses called expression in which the procedure is passed as an argument, it uses the environment.

mysub prints the x value residing in sub4 since the value of x in sub2 is bound to the value of the function in which sub2 was called => deep binding
mysub prints the x value residing in sub1 since the value of x in sub2 is bound to the value of the function in which sub2 was defined = > shallow binding
mysub prints the value residing in sub3 since the value of x in sub2 is bound to the value of the function that passed sub2 as an actual parameter => ad hoc binding.

So,

The function is deep binding.

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The statue on the drawing was 6.33 inches tall.

Scaling is the process of either increasing or reducing the size of a figure by a factor k and producing an image of the figure based on this factor.

Given that a scale of 1 inch = 3 feet was used.

The statue is 19 feet, hence:

Height of the statue in drawing = (1 inch/ 3 feet) * 19 feet

Height of the statue in drawing = 6.33 inch

Hence the statue on the drawing was 6.33 inches tall.

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Answer:

Excuse me, I believe you forgot to put your questio! To get the desired answer, I highly recommend to oost another question!

Have a great day!

Yours Truely, TheAnimeCatUwU

Step-by-step explanation:

Answer: x = -3/2 , x = -1 1/2 , x = -1.5

Step-by-step explanation:

6/-4.5 = 8/4x

first determine the defined range --> x ≠ 0

cancel out the common factor 4 --> 6/-4.5 = 2/x

the convert the decimal into a fraction --> 6/-9/2 = 2/x

now use -a/b = a/-b = -a/b to rewrite the fraction --> 6/-9/2 = 2/x

then simplify the complex fraction --> -4/3 = 2/x

simplify the equation using cross-multiplication --> -4x=6

divide both side of the equation by -4 --> x = -3/2 , x ≠ 0

lastly, check if the solution is in the defined range --> x = -3/2

solution : x = -3/2

Alternative form: x = -1 1/2 , x = -1.5 (simplified)

Answer:

A:The Reqd. No. of Permutations=3360

Step-by-step explanation:

I couldn’t find the answer to B..sorry

Second graph is correctly shows the solution set for the inequality x >n

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There wouls be 18 geese in the pond

Hope this helps :)

The measurement that is closest to the 18.4 gallons of gasoline that Chris bought is 69.92 liters , the correct option is (d) 69.92 L .

In the question ,

it is given that ,

number of gallons that Chris bought = 18.4 gallons

also given that 1 gallon = 3.8 liter

Using the conversion , 1 gallon = 3.8 liter ,

we get ,

18.4 gallons = 3.8 × 18.4

                    = 69.92

hence, 18.4 gallons = 69.92 liters

Therefore , the measurement that is closest to the 18.4 gallons of gasoline that Chris bought is 69.92 Liters, the correct option is (d) 69.92 L   .

The given question is incomplete , the complete question is

Chris bought 18.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chris bought?

(a) 6.21 L

(b) 14.6 L

(c) 4.84 L

(d) 69.92 L

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The marginal revenue at 8 units is given as follows:

MR(8) = 288 dollars per unit.

The revenue function is defined as follows:

R(q) = -7q² + 400q.

The marginal revenue function is the derivative of the revenue function, hence it is obtained as follows:

MR(q) = -14q + 400.

At 8 units, the marginal revenue is found with the numeric value of MR(q) at q = 8, hence:

MR(8) = -14(8) + 400 = 288 dollars per unit.

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Answer:

0

Step-by-step explanation:

Answer: 0 is the answer

Step-by-step explanation:

Answer:

y = -4/3x - 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step 1: Define points

x-intercept is (-6, 0)

y-intercept is (0, -8)

Step 2: Find slope m

\(m=\frac{-8-0}{0-(-6)}\)

\(m=\frac{-8}{0+6}\)

\(m=\frac{-8}{6}\)

\(m=\frac{-4}{3}\)

y = -4/3x + b

Step 3: Find y-intercept b

We are given (0, -8)

Step 4: Write linear equation

y = -4/3x - 8

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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so I guess is getting the area of both sectors, hmmm, ok, well, one sector is 101° and the other must be 259°, both have a radius of 2.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=2\\ \theta =101 \end{cases}\implies A=\cfrac{(101)\pi (2)^2}{360}\implies A\approx 3.53~m^2 \\\\[-0.35em] ~\dotfill\)

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=2\\ \theta =259 \end{cases}\implies A=\cfrac{(259)\pi (2)^2}{360}\implies A\approx 9.04~m^2\)

The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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Answer: You are right.

Step-by-step explanation: The amount of gas you have will only get you 115.2 Miles and the gas station is 116 miles away.

19.2 % 3 = 6.4

6.4 x 18 = 115.2

Answer:

your brother is wrong as you will be away from gas station by about 8 tenths of a mile short

Step-by-step explanation:

19.2÷3 = 6.4

6.4×18 = 115.2

Answer:

Step-by-step explanation:

A

Answer:

i

Step-by-step explanation:

is this my question answer?

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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The missing number in the expression (5 x 7) + (n x 4) = 5 x (7+ 4) is 5.

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, An expression (5 × 7) + (n × 4) = 5 × (7 + 4).

Now, If we expand the RHS we have,

5×(7 + 4).

= (5 × 7) + (5 × 4).

Now, Writing the obtained RHS with LHS we have,

(5 × 7) + (n × 4) =  (5 × 7) + (5 × 4).

So, The missing number is 5.

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The missing dimensions from the given expression should be completed with the following:

(81.) A) 2

(82.) AD) x

(83.) E) 12

The expression as a product should be written as: DE) 2(x + 12).

In Mathematics and Geometry, a factored form can be defined as a type of quadratic expression that is typically written as the product of two (2) linear factors and a constant.

In this scenario and exercise, we would complete the table above by showing the factored form and expanded form of each of the given expressions as follows;

        x           12

2      2x         24

Note: 2x/2 = x.

         24/2 = 12.

(2x + 24) = 2(x + 12).

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Answer:

yep that is totally true

Answer: 12 x 12 +144

Step-by-step explanation: