***WORTH 60 POINTS*** solve for y if x = 5 . [y = -7x -6]

Based on the length and width of the rectangular lawn, and the percentage the man has mowed, the strip width would be 40.5 m.

first, find the area of the lawn:

= 100 x 200

= 20,000 ft²

the area mowed is:

= 40.5% x 20,000

= 8,100 ft²

the width is therefore:

= 8,100 / 200

= 40.5 m

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The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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Answer: Since the radius of the circle is perpendicular to AB, AB is tangent to the circle.

Step-by-step explanation:

Answer:

perpendicular and tangent

Step-by-step explanation:

Answer:

90 liters

Step-by-step explanation:

please mark me as brainlest

The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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When the full moon is at position 3, positions 9 and 12 experience low tide.

The correct option is 9 and 12.

The positions of the moon and the sun have an impact on the tides of the Earth's oceans.

What is a tide?

Tides are the regular rise and fall of the sea level due to the gravitational influence of the Moon and the Sun on the Earth. The gravitational pull of the Moon on the Earth produces two tidal bulges, one on the side of the Earth facing the Moon and one on the side opposite the Moon. The Moon's gravitational pull causes high tides in the area of the bulge and low tides elsewhere on the Earth. The tides are affected by the location of the Sun and the Moon as they orbit the Earth.

In order to determine which two positions experience low tide, the Moon's position must be considered.

When the Moon is directly overhead or opposite to the Earth, its gravitational pull has the greatest effect, causing the greatest difference between high and low tides, also known as spring tides.

When the Moon is at a 90-degree angle to the Earth, its gravitational pull is less, causing a smaller difference between high and low tides, also known as neap tides.

In the given case, when the full moon is at position 3, positions 9 and 12 experience low tide.

Thus, the correct option is 9 and 12.

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Answer:

This equation cannot be solved to find the correct width of the rectangle because the formula for the area of a rectangle is area = base times the height. Therefore, you can't just simply subtract 9 from 48 to get the width. Instead, you have to divide 48 by 9 to find the width, since 48 is the area and 9 is the length.

hope this helps :)

Answer:

3 as well lol?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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We have proved both implications, we can conclude that 4 divides (m^2 * n^2) if and only if m and n are both even.

To prove that 4 divides (m^2 * n^2) if and only if m and n are even, we need to prove two implications:

If 4 divides (m^2 * n^2), then m and n are even.

If m and n are even, then 4 divides (m^2 * n^2).

Let's start with the first implication:

If 4 divides (m^2 * n^2), then m and n are even.

We can prove this by contrapositive. Assume that m and n are not both even, which means that at least one of them is odd. Without loss of generality, let's assume that m is odd. Then m can be written as m = 2k + 1, where k is an integer. Substituting this into the expression for m^2 * n^2, we get:

m^2 * n^2 = (2k + 1)^2 * n^2

= 4k^2 * n^2 + 4kn^2 + n^2

Note that the first two terms in this expression are both divisible by 4, but the last term (n^2) is not necessarily divisible by 4, since n could be odd. Therefore, m^2 * n^2 is not divisible by 4 if m and n are not both even. This proves the contrapositive, and hence the first implication.

Now, let's move on to the second implication:

If m and n are even, then 4 divides (m^2 * n^2).

We can prove this directly. Since m and n are even, we can write them as m = 2k and n = 2j, where k and j are integers. Substituting these into the expression for m^2 * n^2, we get:

m^2 * n^2 = (2k)^2 * (2j)^2

= 4k^2 * 4j^2

= 16(k^2 * j^2)

Since k and j are integers, k^2 * j^2 is also an integer, and hence 16(k^2 * j^2) is divisible by 4. Therefore, m^2 * n^2 is divisible by 4 if m and n are both even. This proves the second implication.

Since we have proved both implications, we can conclude that 4 divides (m^2 * n^2) if and only if m and n are both even.

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we have 5^4 . (5^-2)^3 = 5^4 . 5^-6 = 5^ (4-6) = 5^-2

ok done. Thank to me :>

The scale that a person can use for the vertical axis such that the difference in the heights of the bars is maximized is called Logarithmic Scale.

Logarithmic Scale: It is used when the data covers a large range of values, as it allows for a more precise representation of the data.

It compresses the data so that the graph can fit on a single page.

The logarithmic scale has a logarithmic base, which is often 10 or e.

The tick marks and labels on a logarithmic scale aren't evenly distributed; instead, they're spaced according to the logarithm of their values.

The logarithmic scale, also known as the log scale, is a scale that measures values logarithmically rather than linearly.

A logarithmic scale is commonly used in scientific and engineering graphs and charts. It is used for data that covers a large range of values, such as population growth, global warming, and the stock market.

Summary:Therefore, the scale that a person can use for the vertical axis such that the difference in the heights of the bars is maximized is called Logarithmic Scale.

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Answer:

The answer is 13√7 - 8√5.

Answer:

13check7 - 8check5

Step-by-step explanation:

i don't know how to make that sign so I used a check.

Answer:

  (B)  1

Step-by-step explanation:

The number of such integers will be the number of places where the functions f(x) = x² and g(x) = √x intersect.

The attachment shows the graphical solution to f(x) = g(x) for x > 0. There is exactly one point of intersection at x=1.

There is one such number.

Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.

Buying two tacos individually:

Buying the value meal with three tacos:

To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:

The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).

Therefore , the solution of the given problem of function comes out to be the vertex form of h(x) is h(x) = (x - 7)^2 - 43.

Mathematics is a discipline that examines numbers, their changes, arithmetic as well as the local anatomy, shapes, and that both their actual and imagined locations. A function describes the connection between a collection of variables, each of which has an associated output. A function consists of a collection of elements that when combined yield one distinct outcome for each input. Each task is given a city, town, or scope—often alluded to as a realm.

Here,

We must finish the square in order to express the equation h(x) = x2 - 14x + 6 in cylindrical coordinates. To accomplish this, we can add and remove a constant term from within the parentheses as follows:

=> h(x) = (x - 7)² - 49 + 6

Half of the component of x squared, squared, or (14/2)2 = 49, is the constant term that we need to add and remove.

When we condense the phrase, we get:

=> h(x) = (x - 7)² - 43

As a result, h(x) has the vertex shape h(x) = (x - 7)² - 43.

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Answer:

7,43

Step-by-step explanation:

i got it right

The smaller even integer is 6. The next consecutive even integer would be 6 + 2 = 8.

Let's assume the smaller even integer as x. Therefore, the next consecutive even integer would be x + 2.

According to the given condition, "2 times the smaller integer is 44 less than 7 times the larger integer," we can write the equation as:

2x = 7(x + 2) - 44

Now, let's solve this equation step by step:

2x = 7x + 14 - 44

2x - 7x = -30

-5x = -30

x = -30 / -5

x = 6

So, the smaller even integer is 6. The next consecutive even integer would be 6 + 2 = 8.

Therefore, the two consecutive even integers are 6 and 8.

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Answer:

$1,200

Step-by-step explanation:

180/9=20 which describes the amount they are charging

to figure out 60 cars you'd multiply 60 and 20 which is really 6x2 which equals 12 and then add two zeros at the end.

Answer:

a. z+3

b. 2z - 4z

c. z + z^2

d. 2z/(z+4)

Hope it helped.

The remaining side is 16.9 and remaining angles are 83.1 and 34.9.

The cosine formula to find the side of the triangle is given by:

c = √[a² + b² – 2ab cos C] Where a,b and c are the sides of the triangle.

Given:

m∠B = 62°, a = 11, and c = 19

Now, b² = a² + c² - 2ac cos B.

b = √ a² + c² - 2ac cos B

b = √ 11² + 19² - 2x 11  x 19 cos 62

b= 16.9

Now. a/ sin A = b/ sin B= c/ sin C

So, <C = arc sin ( c sin B /b)

<C = arc sin ( 19 sin 62 /16.9)

<C = 83.1

and, <A = arc sin ( a sin B /b)

<A = arc sin ( 11 sin 62 /16.9)

<A = 34.9

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Answer:

RQP

Step-by-step explanation:

i think RQP(not sure)

The median price from the given data is 648,303.

To find the median price from the given data, we need to arrange the prices in ascending order and then locate the middle value. If there is an odd number of data points, the median will be the middle value. If there is an even number of data points, the median will be the average of the two middle values.

Let's arrange the data in ascending order:

181,386,243,922,355,008,406,791,542,820,648,303,782,200,845,053,924,494,1,089,774,1,175,704,1,274,928,1,308,954

There are a total of 13 data points, which is an odd number. So, the median price is the middle value.

The middle value is the 7th value:

Median Price = 648,303

Therefore, the median price from the given data is 648,303.

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Answer:

Since BD bisects Angle ABC, Angle ABD = Angle DBC

\(3x+6=7x-18\)

Subtract 6 from both sides:

\(3x+6-6=7x-18-6\)

\(3x=7x-24\)

Subtract 7x from both sides:

\(3x-7x=7x-24-7x\)

\(-4x=-24\)

Divide both sides by -4:

\(\frac{-4x}{-4}=\frac{-24}{-4}\)

\(x=6\)

Angle \(ABD=3x+6=3(6)+6=18+6=24\)

Angle \(CBD=7x-18=7(6)-18=42-18=24\)

Angle \(ABC=ABD+CBD=24+24=48\)

Answer:

m<ABD= 6

m<CBD= -18

m<ABC= -108

Step-by-step explanation:

Answer:

\(135^\circ\)

Step-by-step explanation:

To convert radians to degrees, use the formula \(x^\circ=r\frac{180}{\pi}\) where \(r\) is the number of radians:

\(x^\circ=r\frac{180}{\pi}\)

\(x^\circ=(\frac{3\pi}{4})(\frac{180}{\pi})\)

\(x^\circ=\frac{540}{4}\)

\(x^\circ=135\)

Therefore, \(\frac{3\pi}{4}\) radians is \(135^\circ\)

The system of equations is consistent and dependent.

The system of equations is given as:

Start by plotting the graph of both equations (see attachment)

From the attached graph, we can see that both equations are represented on a single line.

This means that, the system of equations is consistent and dependent.

This is so because, the system of equations have infinite many solutions.

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Answer:

18

Step-by-step explanation:

Intersecting Secants Theorem:

6(x + 6) = 8(8 + 10)

6x + 36 = 8(18)

6x + 36 = 144

6x = 144 - 36

6x = 108

x = 18

Answer:

g - 1

Step-by-step explanation:

g - 2/2

2/2 = 1

g - 1

Answer:

seconds could be anything but day was 0 then there would be no seconds, right??? that would basically be true.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

f(x)=x-14     g(x)=x^2+14

fog=f(g(x)

=f(x^2-+14)

=f(x^2+14)-14

fog(x)=x^2