Solve

44 = 2(3x - 5)

The optimal dimensions for the garden to maximize the area are 30 feet by 18 feet, with fencing costing $2 per foot on three sides and $3 per foot on the fourth side.

To determine these dimensions, we start by setting up the equation based on the given information. The cost of fencing for three sides is equal to 2 times the sum of the length and width of the garden, while the cost of fencing for the fourth side is 3 times the length of the garden. Since the total cost of fencing should not exceed $120, we can set up the equation:

2(l + w) + 3l = 120

Simplifying this equation, we get:

5l + 2w = 120

Next, we aim to maximize the area of the garden, which is given by the formula A = lw. We can solve for one variable in terms of the other using the equation obtained above. Substituting the value of w in terms of l into the area equation, we have:

A = (120 - 2w)/5 * w

A = (120w - 2w^2)/5

To find the maximum area, we can take the derivative of the area equation with respect to w and set it equal to zero. Solving this equation, we find w = 30. Substituting the value back into the equation, we get l = 18.

Therefore, the optimal dimensions for the garden are 30 feet by 18 feet to maximize the area, with the given cost of fencing.

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High-low or least squares regression analysis should only be done if a scatter plot depicts linear cost behavior.

A scatter plot is a graphical representation of data points, with the x-axis representing the independent variable (such as the level of production) and the y-axis representing the dependent variable (such as the cost). Linear cost behavior means that the relationship between the independent and dependent variables can be approximated by a straight line. In other words, as the independent variable increases or decreases, the dependent variable changes proportionally.

To determine if a scatter plot depicts linear cost behavior, you need to visually examine the data points. If the points appear to align closely along a straight line, it indicates a linear relationship. However, if the points are scattered and do not follow a clear pattern, it suggests non-linear cost behavior.

High-low or least squares regression analysis are statistical techniques used to estimate and quantify the linear relationship between variables. These methods help determine the equation of the line that best fits the data points and can be used to predict future values. Therefore, performing these analyses is only meaningful when the scatter plot indicates linear cost behavior.

In summary, high-low or least squares regression analysis should only be done if a scatter plot depicts linear cost behavior.

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Answer:

-3

Step-by-step explanation:

it would be -6/2 but if you simplify them its -3/1 so -3

The weight that separates the top 4% is x = 7.87 (round nearest hundredth) .

The weight that separates the bottom 4% is x = 7.63 (round nearest hundredth).

The majority of the observations are centred around the middle peak of the normal distribution, which is a continuous distribution of probability that really is symmetrical around in its mean.

The probability for values that are farther from of the mean tapered down equally both in directions.

Now, use z-chart to find the z-value for that separates the top 4% and the bottom 4%.

The values of z = +1.75 and z = -1.75

Let the weight of the machines be 'x'.

Use the formula for z- value

z = (x -  μ)/ σ

Where,

σ  is standard deviation =  0.07 ounces.

μ is mean = 7.75 ounces.

Substitute all the values and calculate the weight.

case 1: when z = +1.75

1.75 = (x - 7.75)/0.07

x  = (1.75×0.07) + 7.75

x = 7.872

x = 7.87 (round nearest hundredth)

case 2: when z = -1.75

-1.75 = (x - 7.75)/0.07

x  = (-1.75×0.07) + 7.75

x = 7.6275

x = 7.63 (round nearest hundredth)

Therefore,

x = 7.87 (round nearest hundredth) is weight which separates top 4%.

x = 7.63 (round nearest hundredth) is weight which separates bottom 4%.

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Answer:

see below

Step-by-step explanation:

2 1/2+ 3 3/16 + 7/8

Get a common denominator of 16

2 8/16 + 3 3/16 + 14/16

5 25/16

5 + 16/16 + 9/16

6 9/16

Subtract this from 8 ft

8 - 6 9/16

Borrow 1 from 8 in the form of 16/16

7 16/16 - 6 9/16

1 7/16

b  1 7/16 - 1 1/3

The common denominator is 48

1 21/48    - 1 16/48

5/48

Answer:

Circumference = 75.4

Step-by-step explanation:

Since the circles are identical, that means that the radii must be equal.

4x=3x+3

x=3

That means that radius = 12

The formula for the circumference = 2pi × radius

2pi × 12 = 24pi ≈ 75.4

Answer:

75.4 (nearest tenth)

Step-by-step explanation:

The diameter of a circle is the distance from one side of the circle to the other through the center. The diameter is the widest part of the circle.

The radius of a circle is the distance from the center to the circumference.  The radius is half the diameter of a circle.

We have been given the radius of the circle on the left:  r = 4x.

Therefore, as the diameter is twice the radius, the diameter of the circle on the left is:  d = 2(4x) = 8x

We have been given the diameter of the circle on the right:  d = 6x + 6

Equate the two diameters and solve for x:

⇒ 8x = 6x + 6

⇒ 8x - 6x = 6x + 6 - 6x

⇒ 2x = 6

⇒ 2x ÷ 2 = 6 ÷ 2

⇒ x = 3

Substitute the found value of x into one of the diameter expressions to find the diameter of both circles:

⇒ d = 8x

⇒ d = 8(3)

⇒ d = 24

Circumference of a circle

C = πd

(where d is the diameter)

Substitute the found diameter into the circumference formula:

⇒ C = πd

⇒ C = 24π

⇒ C = 75.39822...

⇒ C = 75.4 (nearest tenth)

Therefore, the circumference of each circle is 75.4 units (nearest tenth).

It is true that the indexed variables (members) of an array must be integers.

The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.

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Answer:

the answer for this question is increase 24.89%

Step-by-step explanation:

100%= 233 million

? = 291 million

100%/(233×10^6) : x/(291×10^6)

x=[100%×(291×10^6)]/(233×10^6)

x=124.8927039

x=124.89

124.89%-100%=24.89%

Answer:

x=−8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7(x+5)=21

(−7)(x)+(−7)(5)=21(Distribute)

−7x+−35=21

−7x−35=21

Step 2: Add 35 to both sides.

−7x−35+35=21+35

−7x=56

Step 3: Divide both sides by -7.

−7x/−7 = 56/−7

x=−8

Answer:-

Distributed: -7x+(-35)=21    Simplified: x=-8

Step-by-step explanation:-

Distributed:

-7(x+5)=21

(x*(-7))+(5*(-7))=21

-7x+(-35)=21

Simplified:

-7x-35=21

-7x=21+35

-7x=56

x=-8

Answer:

B

Step-by-step explanation:

So from the first graphs equation is

2x-y=-1

therefore if we made y the subject of the formula, the equation would be

2x+1=y , this is also the same as y=2x+1

from this, the equation is clearly in the form y=mx+c so we can get the gradient

The gradient of graph one would be 2

The perpendicular gradient would be the negative reciprocal of graph one's gradient which would be -1/2

Now we look at our options and see which one has the gradient as -1/2

Using linear function concepts, it is found that the equation parallel to 2x - y = -1 is given by:

C. y − 1 = 2(x − 3)

The equation of a line has the following format:

\(y = mx + b\)

The equation of the line given is:

\(2x - y = -1\)

\(y = 2x + 1\)

Which has slope \(m = 2\)

If we look at option C:

\(y - 1 = 2(x - 3)\)

\(y = 2x - 6 + 1\)

\(y = 2x - 5\)

It also has slope of \(m = 2\), the same as the line given, thus, they are parallel.

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Answer

A : (1,-5)

Explanation

Dude, I'm pretty sure the stuff is used to throw you off. Just find the coordinates.

Answer:

A : (1,-5)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The equation to represent this would be (1 - (1 / 3)) / 2

1 - (1 / 3) = 2 / 3

2 / 3 / 2 = 1 / 3

The correct time in the clock will be 8:40

The acute angles that are between the angle 30 and 60 is 35, 40,45, 50, 55 degrees.

According to the question, we are to determine the time in the clock if the angle between the minute hand and the hour hand of a clock is between 30 degree and 60 degrees.

The time 4:20 is wrong since the minute and hour hand are on each other while the time 10:45 D. 12:15 is wrong since the angle between the hands will be 90 degrees

Hence the correct time in the clock will be 8:40

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Answer:

There are most likely a few outliers, with the rest of the data close to the mean. The standard deviation is an indication of how "wide" the peak of the graph is. Since we have a very large range, that means that the values cover a very large range. But since the standard deviation is small, that means that most of the values are extremely close to the average (or mean) of the values. With that in mind, let's look at the options and see what fits. The distribution is very flat with a gradual increase in frequency as the numbers approach the mean. * This would have a rather large standard deviation since most of the values would be a fair distance from the mean. So this is a bad choice. There are most likely a few outliers, with the rest of the data close to the mean. * This is a very accurate description of the situation. So it's the correct choice. You can't really know anything about the distribution's shape without actually seeing it, or having more data. * This is a cop out and quite wrong. Therefore this is a bad choice. The distribution is essentially normal or bell shaped. * This is what is usually expected, but since we have a small standard deviation, the curve is more definitely NOT bell shaped. So this is a wrong choice...

Step-by-step explanation:

#caryonlearning correct me if im wrong

Answer:

4

Step-by-step explanation:

Step 1:

6x + 10 + 2x = 42          Equation

Step 2:

8x + 10 = 42     Combine Like Terms

Step 3:

8x = 32     Subtract 10 on both sides

Step 4:

x = 32 ÷ 8     Divide

Answer:

x = 4

Hope This Helps :)

Answer: 10

Step-by-step explanation:

An exponential equation that is equal to x = 8 can be expressed as 2^3 = 8.

In an exponential equation, the base raised to the exponent equals the value of x. To create an exponential equation equal to x = 8, we need to determine the base and exponent.

In this case, the base is 2, and the exponent is 3. When we raise 2 to the power of 3 (2^3), we get 8. Therefore, the exponential equation 2^3 = 8 is equivalent to x = 8.

In the equation 2^3 = 8, the base 2 represents the factor by which x is being multiplied, and the exponent 3 represents the number of times the base is multiplied by itself. When we evaluate this equation, we find that 2^3 equals 8, which satisfies the condition x = 8.

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Step-by-step explanation:

The common factor in the expression is 3x, so we can factor it out:

3x(x² - 4x + 4)

Now, we can factor the quadratic expression inside the parentheses as a perfect square:

3x(x - 2)²

Therefore, the factored form of the expression is 3x(x - 2)².

Answer: i don't really know how you want me to solve it

Use the formula x =−b/2a (b over 2a)

(1 second

to find the maximum and minimum.

6t^(2 )+ 12t + 30

which should give you this answer

6(t2+2t+5)

what i did was factor 6 out of 6t^(2 )+ 12t + 30

Answer: 1 second

Step-by-step explanation:

There are two ways to solve this:

1. Graph it. You will see an inverted parabola with time (in seconds) on the x axis and height (in feet) on the y axis. The top of the parabola is point (1, 36) which means at 1 second the ball will be at 36 feet. Since the balcony is at 30 feet, the ball only goes up 6 feet before it changes direction toward the ground.

2. Take the first derivative and set it equal to zero. The first derivative will give us the slope, or rate of change, of the parabola for any point t (on the x-axis). The rate of change when the ball reaches its maximum height will be zero, when it goes from a positive value (going up) to a negative value (going down).

-6t^2 + 12t + 30

First derivative = h'(t) = -12t + 12

Set h'(t) to zero: 0 = -12t + 12

t = 1 second

Either way works. Put 1 second into the original equation and it will return 36 feet. That's 36 feet aboove ground. 6 feet above the balcony from which it is thrown. You can throw better then that, I assume.

(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.

This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.

M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.

(B)  1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.

Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.

(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.

The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.

(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).

The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).

Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).

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The mathematical expression that describes the consumer’s Engel curve for exes:An Engel curve is the relationship between the quantity demanded of a good and consumer income, holding prices constant. Engel curves are typically upward-sloping, which means that the demand for a good or service increases as income increases.

The equation for the Engel curve can be written as x + y = I/4where x is the quantity of good x demanded, y is the quantity of good y demanded, and I is the consumer's income. The Engel curve for good x can be derived by solving for x as follows:x = (I/4) - yThe Engel curve can be represented graphically as a straight line with a negative slope, where the x-axis represents income and the y-axis represents the quantity of good x demanded.2. The mathematical expression that describes the consumer’s income-offer curve.

An income-offer curve shows the different combinations of two goods that a consumer can purchase at different levels of income while maintaining the same level of utility. It shows the relationship between the price of one good and the quantity demanded of another, given a fixed level of income. The equation for the income-offer curve can be written as:p_x = (I - p_y*y)/2√xwhere p_x and p_y are the prices of goods x and y, respectively, I is the consumer's income, y is the quantity of good y demanded, and x is the quantity of good x demanded. The income-offer curve for good x can be represented graphically as a downward-sloping curve.3. The mathematical expression that describes the consumer’s demand curve for exes:A demand curve shows the relationship between the price of a good and the quantity demanded of that good, holding all other factors constant.

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Answer:

The answer is B

11.7

Step-by-step explanation:

distance between A and B

3--3=3+3=6

Distance between B and C

5--5=5+5=10

Length of diagonal²=distance between A and B²+distance between B and C ²

L²=6²+10²

L²=36+100

L²=136

take the square root of both sides

√L²=√136

L=11.7

Answer:The plant growth 1/2 inches each week

Step-by-step explanation:

Answer:

Step-by-step explanation:

21.925

The expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) \(\times\) 100.

To find the percent of change between the gym's membership in 2012 and the current membership, we can use the following expression:

Percent of change = ((Current Value - Initial Value) / Initial Value) \(\times\) 100

In this case, the initial value is 9,300 (membership in 2012), and the current value is 2,800 (current membership).

Substituting these values into the expression, we get:

Percent of change = ((2,800 - 9,300) / 9,300) \(\times\)100

Simplifying the expression further, we have:

Percent of change = (-6,500 / 9,300) \(\times\) 100

Therefore, the expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) \(\times\)100. This formula calculates the relative difference between the initial and current values and expresses it as a percentage.

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It is predicted that there will be approximately 122 thousand keylogging programs reported in 2014.

To predict the number of keylogging programs that will be reported in 2014, we can use the given information about the growth rate of keylogging programs from 2000 to 2005.

The data indicates that the number of keylogging programs grew approximately exponentially from 0.4 thousand programs in 2000 to 13.0 thousand programs in 2005.

To estimate the number of keylogging programs in 2014, we can assume that the exponential growth trend continued during the period from 2005 to 2014.

We can use the exponential growth formula:

N(t) = \(N0 \times e^{(kt)\)

Where:

N(t) represents the number of keylogging programs at time t

N0 is the initial number of keylogging programs (in 2000)

k is the growth rate constant

t is the time elapsed (in years)

To find the growth rate constant (k), we can use the data given for the years 2000 and 2005:

N(2005) = N0 × \(e^{(k \times 5)\)

13.0 = 0.4 × \(e^{(k \times 5)\)

Dividing both sides by 0.4:

\(e^{(k \times 5)\) = 32.5

Taking the natural logarithm (ln) of both sides:

k × 5 = ln(32.5)

k = ln(32.5) / 5

≈ 0.4082

Now, we can use this growth rate constant to predict the number of keylogging programs in 2014:

N(2014) = N0 × \(e^{(k \times 14)\)

N(2014) = 0.4 × \(e^{(0.4082 14)\)

Using a calculator, we can calculate:

N(2014) ≈ \(0.4 \times e^{5.715\)

≈ 0.4 × 305.28

≈ 122.112

Rounding to the nearest integer:

N(2014) ≈ 122

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Answer:

x=7

Step-by-step explanation:

Since (3x+10)+(x-2)= 36, that means (4x+10-2)=36

To solve, first combine like terms:

4x+10-2= 36 -------- 4x+8=36

Then subtract 8 from both sides:

4x+8= 36 ---------- 4x= 28

Then divide:

\(\frac{4x}{4}\)=\(\frac{28}{4}\)

Simplify:

x=7

Check you work:

21+10= 31

7-2= 5

31+5= 36

Hope this helps! :)

Answer:

\(\text{A) }68\:\mathrm{cm}\)

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a \(90^{\circ}\), creating right triangles \(\triangle TOP\) and \(\triangle SOP\).

The Pythagorean Theorem states that the following is true for any right triangle:

\(a^2+b^2=c^2\), where \(c\) is the hypotenuse, or the longest side, of the triangle

Thus, we have:

\(10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24\)

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

Thus, the perimeter of the quadrilateral PTOS is equal to \(24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}\)

Answer:

the other one should get a brainliest.

I'm just answering to make it technically possible.