Write an
equation and then solve for x.
1480
( 3x - 1)

Answer:

It will take 6 weeks as the plant takes 1 week to grow 1 inch

Hope it Helps!

Answer:

6 weeks.

Step-by-step explanation:

The easiest way to model this is to just create a double-lined ratio chart.

In the picture below, you can see my personally created double-lined ratio chart.

Answer:

Explanation:

If we reflect a coordinate, (x, y) over the y axis, the sign of the y coordinate remains the same while the sign of the x coordinate reverses. From the information given,

The coordinates of the original triangle are

D(3, 6), E(- 4, - 3), F(6, 1)

The coordinates of the image are

D'(1, 6), E'(8, - 3), F'(- 2, 1)

Also, if a coordinate is reflected over the line, x = k, the new coordinates would be

(2k - x, y). Let us assume that k = 2. By reflecting the line over x = 2, we have the following coordinate

For D(3, 6), the new coordinate is

(2 * 2 - 3, 6) = (4 - 3, 6) = (1, 6)

For E(- 4, - 3), the new coordinate is

(2 * 2 - 4, - 3) = (4 - - 4, - 3) = (8, - 3)

For F(6, 1), the new coordinate is

(2 * 2 - 6, 1) = (4 - 6, 1) = (- 2, 1)

We can see that the coordinates match the ones stated. Thus, the reflection rule is

A reflection over the line, x = 2

Answer:

Step-by-step explanation:

The z-score for of a patient's systolic blood pressure measured at 84  is -1

From the question, we have the following parameters that can be used in our computation:

Sample = 500 individuals

Standard deviation = 16

Mean = 110

Measurement = 84

The z-score for this measurement is calculated as

z = (Measurement -Mean)/Standard deviation

substitute the known values in the above equation, so, we have the following representation

z = (84 -110)/16

Evaluate

z = -1

Hence, the z-score for this measurement is -1

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In real life, estimation is part of our everyday experience. When you're shopping in the grocery store and trying to stay within a budget, for example, you estimate the cost of the items you put in your cart to keep a running total in your head.

The equation showing the relation between shorter and longer skirt is 3s+4t = 140.

Given that the Scottish dance team used 140 yards of tartan to make dancing skirts.

The skirt pattern for the shorter members is 3- yards of fabric, and the skirt pattern for the taller members is 4 yards of fabric.

So, we need to find the equation represents the relationship between the number of short skirts and the number of long skirts that were made,

So, if there are s short skirts and t long skirts,

So,

The relation will be =

3s + 4t = 140

Hence the equation showing the relation between shorter and longer skirt is 3s+4t = 140.

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Answer: -20

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Step-by-step explanation: PEMDAS use this ok first you do 7x7 to equal 49 then add 50 to equal 99. then do 5x5x5 to equal 125. the parentheses are gone and the 5x5x5 is gone now the problem is 125-2x3-99. to finish you multiply 2x3 to equal 6 now 125-6-99=20 answer-20

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So, the system of equations representing this situation is: n + d + q = 95; 0.05n + 0.10d + 0.25q = 13.70; q = d + 11.

To represent this situation with a system of equations, we can use the following equations:

The total number of coins: n + d + q = 95

The total value of the coins in dollars: 0.05n + 0.10d + 0.25q = 13.70

The relationship between the number of quarters and dimes: q = d + 11

The first equation represents the total number of coins, which is given as 95.

The second equation represents the total value of the coins in dollars, which is given as $13.70. The values of each coin (nickel, dime, quarter) are multiplied by their respective quantities (n, d, q) and summed up to obtain the total value.

The third equation represents the relationship between the number of quarters (q) and dimes (d), which states that there are 11 more quarters than dimes.

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Answer:

see below

Step-by-step explanation:

f(x) = x^2 – 2x – 3

To find the roots, set the equation equal to zero

0  = x^2 – 2x – 3

Factor, what two numbers multiply to -3 and add to -2

-3 * 1 = -3

-3 + 1 = -2

0 = (x-3)( x+1)

Using the zero product property

x-3 =0   x+1 =0

x=3          x=-1

Answer:

3

Step-by-step explanation:

cuz i said so lol

Answer:

x = 13

Step-by-step explanation:

BH / YL = HN / LR

28 / 21 = 3x-7 / x+11

cross-multiply:

4x + 44 = 9x - 21

-5x = -65

x = 13

Answer:13

Step-by-step explanation:

The completed ordered pair is (141°, -311).

To find the value of y for the function y = 200 tan(x) on the interval 0° ≤ x ≤ 141°, we can substitute the value of x into the equation and evaluate it using a calculator. Let's calculate:

For x = 141°,

y = 200 tan(141°)

Using a calculator to evaluate the tangent function of 141°, we find that tan(141°) is approximately -1.556.

Next, we multiply this result by 200:

y ≈ 200 * (-1.556) ≈ -311.2

Rounding this value to the nearest whole number gives us -311.

Therefore, the completed ordered pair is (141°, -311).

The function y = 200 tan(x) represents a periodic function. On the given interval, as x increases from 0° to 141°, the corresponding values of y fluctuate due to the oscillatory nature of the tangent function. The completed ordered pair (141°, -311) indicates that at x = 141°, the value of y is approximately -311. This means that when x reaches 141°, the tangent function reaches a trough and has a negative value close to -311.

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Answer:

the answer is -8

Step-by-step explanation:

because the negative sign is inside the parentheses with the 2, (-2)^3 can be expanded to -2*-2*-2.

now solve.

\(-2*-2*-2\\4*-2\\-8\)

hope this helps!

Approximately 95.44% of the time, the car will stop at a distance between 120 feet and 140 feet.

To calculate the percentage of the time the car stops at a distance between 120 feet and 140 feet, we need to find the probability within that range in the given normal distribution.

The Z-score formula can help us calculate the probability in a normal distribution:

Z = (X - μ) / σ

In this case, we want to calculate the probability between 120 feet and 140 feet, which means X = 120 and X = 140.

Calculating the Z-scores for these values:

Z1 = (120 - 130) / 5 = -2

Z2 = (140 - 130) / 5 = 2

Now, we can use a Z-table or a calculator to find the probabilities corresponding to these Z-scores. Since the normal distribution is symmetric, the probability between -2 and 2 is the same as the probability between 2 and -2.

Using a standard normal distribution table or calculator, the probability of a Z-score between -2 and 2 is approximately 0.9544.

Therefore, approximately 95.44% of the time, the car will stop at a distance between 120 feet and 140 feet.

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The correct statements that are true are:

B. The number of gallons of gas that Sal can purchase can be represented by the inequality 3x ≤ 38.

D. If Sal wants to save enough money for an $8 car wash, he can also purchase up to 10 gallons of gas.

A word problem is a topic in mathematics which require expressing a given statement with an equation, so as to determine the value of the unknown variable.

Considering the given statement in the question, we have;

Total amount in Sal's wallet = $95

Amount spent on hat and a pair of jeans = $57

amount left = $95 - $57

                   = $38

Since a gas cost $3 per gallon, the number of gallons Sal's can purchase (x) is;

$3x = $38

x = 12.667

Therefore, the correct statements that are true are:

B. The number of gallons of gas that Sal can purchase can be represented by the inequality 3x ≤ 38.

D. If Sal wants to save enough money for an $8 car wash, he can also purchase up to 10 gallons of gas.

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The inequality that represents  the number of gallons of gas Sal is able to purchase is 3x ≤ 38. The correct options are

B. The number of gallons of gas that Sal can purchase can be represented by the inequality 3x ≤ 38.

D. If Sal wants to save enough money for an $8 car wash, he can also purchase up to 10 gallons of gas.

From the question, we are to determine the number of gallons of gas Sal is able to purchase

From the given information,

Sal had $95 in is wallet

Then he bought a hat for $22 and a pair of jeans for $35

He would have $95 - $22 - $35 remaining

$95 - $22 - $35 = $38

Now, we are to determine number of gallons, x, that Sal can purchase at $3 per gallon

The cost of gas he can purchase must be less than or equal to $38

Thus,

The inequality is 3x ≤ 38

If Sal wants to save $8 for car wash he would have $38 - $8 remaining

$38 - $8 = $30

With $30, he can purchase 10 gallons of gas at $3 per gallon.

Hence, the last statement is also correct

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Answer:

No to both.

Step-by-step explanation:

a) If the first 2 cards are both spades, the probability of the next 3 cards also being spades can be calculated by using the following formula:P(5 spades) = P(3 spades AND 4 spades AND 5 spades) = P(3 spades) x P(4 spades | 3 spades) x P(5 spades | 3 spades and 4 spades)The probability of picking 3 spades out of 50 cards is:P(3 spades) = (13/52) x (12/51) x (11/50)To calculate the probability of drawing the fourth spade, we know there are 11 spades left in the deck and only 49 cards remaining. Hence,P(4 spades | 3 spades) = (11/49)To calculate the probability of drawing the fifth spade, we know there are 10 spades left in the deck and only 48 cards remaining. Hence,P(5 spades | 3 spades and 4 spades) = (10/48)Therefore, P(5 spades) = (13/52) x (12/51) x (11/50) x (11/49) x (10/48) which is approximately equal to 0.0026. Hence, the probability of the next 3 cards being spades is 0.0026. The answer is rounded to four decimal places.

b) If the first 3 cards are all spades, then the probability of the next 2 cards being spades can be calculated as follows:To calculate the probability of the fourth spade, we know there are 11 spades left in the deck and only 49 cards remaining. Hence, P(4 spades | 3 spades) = (11/49)To calculate the probability of the fifth spade, we know there are 10 spades left in the deck and only 48 cards remaining. Hence, P(5 spades | 3 spades and 4 spades) = (10/48)Therefore, P(2 spades | 3 spades) = P(4 spades | 3 spades) x P(5 spades | 3 spades and 4 spades) = (11/49) x (10/48) which is approximately equal to 0.0045. Hence, the probability of the next 2 cards being spades is 0.0045. The answer is rounded to four decimal places.

We can write the probability of picking 5 spades as the probability of picking 4 spades AND 5 spades. This can be represented as:P(5 spades) = P(4 spades AND 5 spades) = P(4 spades) x P(5 spades | 4 spades).The probability of picking 4 spades out of 49 cards is: P(4 spades) = (10/48) x (9/47). This means that there are 10 spades out of the 48 cards in the deck for the first pick, and 9 spades out of the remaining 47 cards for the second pick.

Hence, the probability of drawing a spade given that the first four cards are spades is:P(5 spades | 4 spades) = (9/47). This is because there are 9 spades left in the deck and only 47 cards remaining.

Therefore, the probability of the next 2 cards being spades is calculated as follows:P(5 spades) = P(4 spades) x P(5 spades | 4 spades) = (10/48) x (9/47) x (9/47) ≈ 0.0030. This means that the probability of the next 2 cards being spades is 0.0030, rounded to four decimal places.

If the first 4 cards are all spades, then the probability of the next card being a spade is given by:P(5 spades) = P(5 spades) / P(4 spades). The probability of picking 5 spades out of 48 cards is:P(5 spades) = (9/46).

Thus, the probability of the next card being a spade is:P(5 spades) / P(4 spades) = (9/46) / (9/47) ≈ 0.9672. This means that the probability of the next card being a spade is 0.9672, rounded to four decimal places.

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The quadratic expression cannot be factorized, because the discriminant is less than 0

The expression is given as:

x²+12x+180

Calculate the discriminant of the expresison using:

D = B² - 4AC

So, we have:

D = 12² - 4* 1 * 180

Evaluate

D = -576

Because the discriminant is less than 0, then the expression cannot be factorized

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Answer:0.416667

Step-by-step explanation:

5 inches equal 0.4166666667 feet (5in = 0.4166666667ft). Converting 5 in to ft is easy. Simply use our calculator above, or apply the formula to change the length 5 in to ft.

Answer:

as 1 inch = 0.0833333 ft

so

5inch = 5(0.0833333)

= 0.416667

Step-by-step explanation:

Using power series the Maclaurin series for f(x) = cos(x²) is as: f(x) = 1 - \((x^4)\)/2! + \((x^8)\)/4! - \((x^12)\)6! + .....

To find the Maclaurin series for the function f(x) = cos(x²), we can substitute x² into the power series expansion of cos(x).

The power series expansion for cos(x) is given by:

cos(x) = 1 - (x²)/2! + (\(x^4\))/4! - (\(x^6\))/6! + ...

Substituting x² for x, we have:

cos(x²) = 1 - (\((x^4)\)/2! + \((x^8)\)/4! - \((x^{12} )\)/6! + ...

Now we can express the Maclaurin series for f(x) = cos(x²) as:

f(x) = 1 - \((x^4)\)/2! + \((x^8)\)/4! - \((x^12)\)6! + ...

where each term is obtained by replacing x with x² in the corresponding term of the power series expansion for cos(x).

The Maclaurin series expansion for f(x) = cos(x²) is an infinite series, and the ellipsis (...) indicates that there are additional terms following the given ones.

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Answer:

YEs it is a function

Step-by-step explanation:

Answer:

its a function

Step-by-step explanation:

A function from set X to set Y assigns one of Y's elements to each of X's elements.

The volume of region bounded by z = x2 y2 and z = 10 - x2 - 2y2 is ∞.

To find the volume of the region bounded by the surfaces z = x^2 y^2 and z = 10 - x^2 - 2y^2, we can use triple integrals in cylindrical coordinates.

First, we need to find the limits of integration.

The surfaces intersect at the boundary where z = x^2 y^2 = 10 - x^2 - 2y^2.

Rearranging the equation gives us x^2 + 2y^2 + x^2 y^2 - 10 = 0.

This can be factored as (x^2 + 1)(y^2 + 2) - 12 = 0.

Thus, we have two curves: x^2 + 1 = 0 and y^2 + 2 = 0.

However, neither curve is possible because we cannot take the square root of a negative number.

Therefore, there is no boundary and the region is unbounded.

To set up the triple integral,

we can use cylindrical coordinates: x = r cos(θ), y = r sinθ), and z = z.

The Jacobian is r, so the volume is given by:

V = ∫∫∫ r dz dr dθ

The limits of integration for r and θ  are 0 to infinity and 0 to 2π, respectively.

The limit for z is from the surface z = x^2 y^2 to z = 10 - x^2 - 2y^2.

However, since there is no boundary, we can integrate from z = 0 to z = infinity.

Thus, we have:

V = ∫∫∫ r dz dr dθ from 0 to infinity for z, 0 to infinity for r, and 0 to 2π for theta.

Evaluating the integral gives us:

V = ∫0^2π ∫0^∞ ∫0^∞ r dz dr dθ = ∞

Therefore, the volume of the region bounded by the surfaces z = x^2 y^2 and z = 10 - x^2 - 2y^2 is infinity.

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Answer: 531441

Step-by-step explanation:

Step-by-step explanation:

To find the equation of the tangent plane to the surface at the point (5 cos(π/3), 5 sin(π/3), k), we need to first find the partial derivatives of r with respect to u and v:

ru(u, v) = cos(v) i + sin(v) j

rv(u, v) = -5 sin(v) i + 5 cos(v) j + k k

Then, we can plug in the point (5 cos(π/3), 5 sin(π/3), k) to get the partial derivatives evaluated at that point:

ru(5, π/3) = cos(π/3) i + sin(π/3) j = (1/2) i + (√3/2) j

rv(5, π/3) = -5 sin(π/3) i + 5 cos(π/3) j + k k = -5/2 i + (5√3/2) j + k k

Now we can use the point-normal form of the equation of a plane, where the normal vector is given by the cross product of ru and rv:

⟨ru(5, π/3) × rv(5, π/3)⟩ = ⟨(1/2) i + (√3/2) j, (-5/2) i + (5√3/2) j, k⟩ = (-5/2 - √3/2) i + (-5√3/2 - 1/2) j + k k

Thus the equation of the tangent plane to the surface at (5 cos(π/3), 5 sin(π/3), k) is:

(-5/2 - √3/2)(x - 5 cos(π/3)) + (-5√3/2 - 1/2)(y - 5 sin(π/3)) + (z - k) = 0

Simplifying, we get:

-5√3 x + 5y - 5√3 z + (25/2 + 5/2√3) = 0

So the equation of the tangent plane to the surface at the point (5 cos(π/3), 5 sin(π/3), k) is:

-5√3 x + 5y - 5√3 z + 15.79 = 0.

Based on the given information, Jane should not search for the doll any more. The cost of searching outweighs the potential savings she might gain by finding a lower price.

In this scenario, Jane has already visited one shop and found the doll priced at $100. She knows that the doll is offered at three different prices: $120, $100, and $80, with unknown probabilities (represented as odds). Each additional search incurs a cost of $5.

To determine whether Jane should search for the doll again, we need to compare the expected cost of searching with the potential savings. Given the information provided, we do not have the probabilities associated with each price, so we cannot calculate the exact expected savings. However, we can make an informed decision based on the given information.

Since the current price of the doll is $100 and the potential savings from finding a lower price are uncertain, Jane should consider the cost of searching. With a search cost of $5 per search, it is unlikely that the potential savings from finding a lower price would offset the additional cost incurred by searching. Therefore, it is advisable for Jane not to search for the doll any more, as the cost of searching exceeds the expected savings.

It's important to note that a definitive decision would require more information, such as the probabilities associated with each price. However, based on the given information, the best course of action for Jane is to refrain from further searching.

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Answer:use some caulk

Step-by-step explanation:

I am a handy man myself

Answer:

a.divide the amount by the percentage.

$2700× 25%

Ans:$675

subtract the selling price from the profit.

$2700 - $675

Ans:$2025

b.divide the 15% from selling price.

$2700 × 15%

Ans: 405

deduct the selling from from the discount given.

$2700 - $405

Ans: $2,295

Fold the triangles to find their circumcenter (by making perpendicular bisectors), incenter (by making angle bisectors), centroid (by constructing medians), and orthocenter (using a different piece of patty paper for each equilateral triangle) (by making the altitudes of each side).

A triangle's three angle bisectors are concurrent in a point equidistant from its sides. The incenter of a triangle is the point where the angle bisectors of a triangle intersect. The incenter is always found within the triangle.

The circumcenter of a triangle is the point where the three perpendicular bisectors meet. It is the circumcenter of the circle circumscribed around the triangle, which is equidistant from the triangle's three vertices.

Fold the triangles to find their circumcenter (by making perpendicular bisectors), incenter (by making angle bisectors), centroid (by constructing medians), and orthocenter (using a different piece of patty paper for each equilateral triangle) (by making the altitudes of each side).

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