Please answer this correctly

Answer:

X = 10/(y-4)

Step-by-step explanation:

4X(y-4) = 40

X(y-4) = 10

X = 10/(y-4)

The tower, the flagpole and Jeff's position form similar triangles

The tower is 54 feet's tall

Using the attached figure as an illustration, we have the following highlights

So, we have the following equivalent ratios

\(AB:BE = CD:CE\)

Where:

BE = BC + CE

So, we have:

\(AB:BC + CE = CD:CE\)

This gives

\(h:40 + 20 = 18:20\)

\(h:60 = 18:20\)

Express as fraction

\(\frac{h}{60} = \frac{18}{20}\)

\(\frac{h}{60} = 0.9\)

Multiply through by 60

\(h= 54\)

Hence, the tower is 54 feet's tall

Read more about similar triangles at:

https://brainly.com/question/14285697

1) In the expression

2) We can say the following about it:

Answer:

2(x + 6)

Step-by-step explanation:

If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:

2(x + 6)

Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)

Answer:

7 and 8

Step-by-step explanation:

29÷4=7.25 and that is between 7 and 8

His estimated monthly income should be $480.

Using Amber's method of plotting, a graph representing the two seperate equations is attached.

3x^2: Is a curve and color green

- 4x : is a straight line graph, with red color

A graph is a pictorial representation of a an expression. It is used in several disciplines to represent and interpret data easily. Since graphs are pictures it show the relationship between functions or data presented with less difficulty.

here, we have,

The first graph is a curve because the expression involved is a polynomial this is to say the variable is raised to a power that is not 1 or zero.

The second graph is not a curve because the variable x has a power of 1

Read more on graphs here:

brainly.com/question/19040584

#SPJ1

Answer:

Step-by-step explanation:

Just definitions :)

Hope it helps <3

Answer:

install socratic it will give you all answer no kiding

The length of the curve y = 5 - 4x, -2 ≤ x ≤ 2, is 4√(17).

To use the arc length formula, we need to find the derivative of the curve y = 5 - 4x:

y' = -4

Then, we can use the arc length formula:

L = ∫[a,b] √(1 + (y')^2) dx

where a and b are the limits of integration. In this case, a = -2 and b = 2.

L = ∫[-2,2] √(1 + (-4)^2) dx

= ∫[-2,2] √(17) dx

= √(17) * [x]_(-2)^(2)

= 4√(17)

So the length of the curve y = 5 - 4x, -2 ≤ x ≤ 2, is 4√(17).

To check this answer, we can note that the curve is a line segment with endpoints (-2, 13) and (0.75, 1), and we can calculate its length using the distance formula:

L = √((0.75 - (-2))^2 + (1 - 13)^2)

L = √(18.25 + 144)

L = √(162.25)

L = 4√(17)

This matches our previous answer, so we can be confident that the length of the curve is 4√(17).

Learn more about the length of a curve at: https://brainly.com/question/29364263

#SPJ1

Answer:

approx. 686.5 \(cm^3\)

Step-by-step explanation:

Formula for the volume of a cylinder:

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

r is the radius of the base, and h is the height.

h = 13 cm

The radius is half the diameter

r = d/2 = 8.2 / 2 = 4.1 cm

Putting these values into our equation:

\(V=\pi *4.1^2 * 13 = \pi * 16.81 * 13 = \pi * 218.53\)

\(\pi * 218.53\) ≈ 686.5 \(cm^3\)

Answer: approx. 686.5 \(cm^3\)

The approximate surface area of the package is approximately 245.05 square inches.

The best model for the package is a cylinder.

To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.

The lateral surface area of a cylinder can be calculated using the formula:

Lateral Surface Area = 2πrh

where r is the radius of the base and h is the height.

The area of the circular base can be calculated using the formula:

Area of Base = \(πr^2\)

Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.

Using the given height of 13 inches, we can now calculate the surface area:

Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches

Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches

To find the total surface area, we add the lateral surface area and the area of the base:

Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches

Therefore, the approximate surface area of the package is approximately 245.05 square inches.

For such more questions on Candy Package: Shape & Area

https://brainly.com/question/27601000

#SPJ8

Answer:

Step-by-step explanation:

We must use PEMDAS for this answer.

First, we must multiply 1000 and 10.

10,000-5000+23-93

Next, we must subtract 10,000 and 5,000

5000+23-93

Add 5000 and 23

5023-93

For our final step, subtract and you get your answer.

4,930

False is the statement, "Polygon endpoints need not conform to snap points, like the boundaries of a filled-in region."

The surface's perimeter is defined by the edge of a filled-in area. An area is a two-dimensional space that any surface can cover. Typically, the edges of the space serve as the surface's boundary. To create a closed area or surface, the edges or the boundary must link.

Similar to end points, snap points are the ends of a polygon's sides. A closed figure can only be formed when these endpoints are connected. A closed polygon is one that has n sides.

Know more about polygon

https://brainly.com/question/1592456

#SPJ4

Gradient is another word for slope.

Slope = rise/run = (y2-y1)/(x2-x1)

So pick 2 points.

Let's do line A first.

(1,1) and (2,4)

slope = (1-4)/(1-2)

= -3/-1 = 3

The slope (aka gradient) of line A = 3.

Line B.

(0,5) and (1,1)

slope = (5-1)/(0-1)

= 4/-1

= -4

The slope (aka gradient) of line B = -4.

Answer:

-2 is found to the left of the origin (0), in a more specific way, -2 is 2 down to the left of zero.

Step-by-step explanation:

Step-by-step explanation:

Inform means to instruct, train (usually in matters of knowledge).

Answer:

inform means construct

The required piecewise function is

          f(x) = 2x + 7,           if -6 ≤ x ≤ -1

           f(x) = 4 ,                  if -1 < x ≤ 3

           f(x) = -0.5x + 4.5,   if 3 < x ≤ -1

What is Equation of line ?

       (y - y₁) / (y₂ - y₁) = (x - x₁) / (x₂ - x₁)

The equation of line passing through (x₁, y₁) and (x₂, y₂) is given by,

(y - y₁) / (y₂ - y₁) = (x - x₁) / (x₂ - x₁)

From the given graph,

we observe the points for 1st line which is -6 ≤ x ≤ -1

(-6, -5) and (-1, 5)

Now, determine the equation of line.

Let, (-6, -5) = (x₁, y₁)

       (-1, 5) = (x₂, y₂)

Now, plug in the values

(y - y₁) / (y₂ - y₁) = (x - x₁) / (x₂ - x₁)

(y - (-5)) / (5 - (-5)) = (x - (-6)) / ((-1) - (-6))

(y + 5) / 10 = (x + 6) / (-1 + 6)

(y + 5) / 10 = (x + 6) / 5

y + 5 = 2(x + 6)

y + 5 = 2x + 12

y = 2x + 7

For 2nd line, which is -1 < x ≤ 3

By observing graph, we can say it is y = 4

For 3rd line, which is 3 < x ≤ -1

From the given graph we observe the points are

(3, 3) and (6, 1.5)

Let, (3, 3) = (x₁, y₁)

      (6, 1.5) = (x₂, y₂)

Now, plug in the values in

(y - y₁) / (y₂ - y₁) = (x - x₁) / (x₂ - x₁)

(y - 3) / (1.5 - 3) = (x - 3) / (6 - 3)

(y - 3) /  (-1.5) = (x - 3) / 3

y - 3 = (-1.5) (x - 3) / 3

y - 3 = -0.5 (x - 3)

y - 3 = -0.5x + 1.5

y = -0.5x + 1.5 + 3

y = -0.5x + 4.5

Hence, the required piecewise function is

           f(x) = 2x + 7,           if -6 ≤ x ≤ -1

           f(x) = 4 ,                  if -1 < x ≤ 3

           f(x) = -0.5x + 4.5,   if 3 < x ≤ -1

To read more about Equation of line

https://brainly.com/question/18831322

#SPJ1

Answer:

x = 2, y = 9 or (2,9)

Step-by-step explanation:

Hello!

The first equation "y = 5x - 1" is telling us that y is equal to 5x - 1

We can plug in the first equation into the second like this:

2x + y = 13 (we know y so we can plug it in)

2x + (5x - 1) = 13

2x + 5x - 1 = 13

7x - 1 = 13

Now we add 1 to both sides

7x - 1 + 1 = 13 + 1

7x = 14

x = 2

Now we plug in x to find y:

y = 5x - 1

y = 5(2) - 1

y = 10 - 1

y = 9

Step-by-step explanation:

the point (7,-10) is located in 1 at quadrant

Answer:

Quadrant 4

Step-by-step explanation:

To find this out, simply get a coordinate plane and plot the coordinate point.

OR

You can remember this formula for coordinate points:

Quadrant 1: (x,y)

Quadrant 2: (-x,y)

Quadrant 3: (-x,-y)

Quadrant 4: (x,-y)

Point (7,-10) has a positive x-coordinate and a negative y-coordinate. This means it belongs in quadrant 4.

Heuristic is 0 for every city Heuristic is 1 for every city Selecting an inadmissible heuristic has a -50% penalty.

To find the shortest path to a destination city from a start city using roads (e.g., traveling from Arad to Bucharest) using A* search, the following heuristics are admissible:

Manhattan distance ("go first east/west and then north/south") between a city and start city.

Euclidean distance ("as the crow flies") between a city and destination city.

Euclidean distance ("as the crow flies") between a city and start city.

Manhattan distance ("go first east/west and then north/south") between a city and destination city.

The following heuristics are inadmissible:

Twice the Euclidean distance ("as the crow flies") between a city and destination city.

For similar question on inadmissible.

https://brainly.com/question/17989332

#SPJ11

Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.

We're given:

\(\dfrac{3240\hspace{4}feet}{hour}\)

We also know that:

\(\dfrac{hour}{60\hspace{4}minutes}\)

Multiply the two to cancel out the hour:

\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)

Simplify:

\(=\dfrac{54\hspace{4}feet}{minute}\)

\(\dfrac{54\hspace{4}feet}{minute}\)

Answer:

x>5andx≤9

Step-by-step explanation:

Answer:

a) 0.271 = 27.1% probability that all fail on their first submissions

b) 0.981 = 98.1% probability that at least four fail on their first submissions

c) 0.019 = 1.9% probability that less than four fail on their first submissions

d) The mean number who will fail is 5.81.

e) The variance is 0.988, while the standard deviation is 0.994.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either their first program run will fail, or it wont. The probability of the first program run of a student failing is independent of the first program run of other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The expected value of the binomial distribution is:

\(E(X) = np\)

The variance of the binomial distribution is:

\(V(X) = np(1-p)\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

In this question, we have that:

83% of all students taking a beginning programming course fail to get their first program to run on first submission. Sample of 7 students. This means that \(p = 0.83, n = 7\)

(a) all fail on their first submissions

This is \(P(X = 7)\). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 7) = C_{7,7}.(0.83)^{7}.(0.17)^{0} = 0.271\)

0.271 = 27.1% probability that all fail on their first submissions;

(b) at least four fail on their first submissions

This is

\(P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 4) = C_{7,4}.(0.83)^{4}.(0.17)^{3} = 0.082\)

\(P(X = 5) = C_{7,5}.(0.83)^{5}.(0.17)^{2} = 0.239\)

\(P(X = 6) = C_{7,6}.(0.83)^{6}.(0.17)^{1} = 0.389\)

\(P(X = 7) = C_{7,7}.(0.83)^{7}.(0.17)^{0} = 0.271\)

\(P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.082 + 0.239 + 0.389 + 0.271 = 0.981\)

0.981 = 98.1% probability that at least four fail on their first submissions.

(c) less than four fail on their first submissions

Either less than four fail, or at least four fail. The sum of the probabilities of these events is 100% = 1. So

\(P(X < 4) + P(X \geq 4) = 1\)

From b), \(P(X \geq 4) = 0.981\). So

\(P(X < 4) = 1 - P(X \geq 4) = 1 - 0.981 = 0.019\)

0.019 = 1.9% probability that less than four fail on their first submissions.

(d) what is the mean number who will fail?

Expected value, so

\(E(X) = np = 7*0.83 = 5.81\)

The mean number who will fail is 5.81.

(e) what are the variance and standard deviation of the number who will fail?

Variance:

\(V(X) = np(1-p) = 7*0.83*0.17 = 0.988\)

Standard deviation:

\(\sqrt{V(X)} = \sqrt{0.9877} = 0.994\)

The variance is 0.988, while the standard deviation is 0.994.

Answer:

the answer is c. it’s commutative property

Step-by-step explanation:

12-(y•2) is the same as 12-(2•y) 2 and y are just flipped around. hope this helps!

Answer:

m+5

Step-by-step explanation:

4m+5-3m

1m+5

Fernando has invested $5000 money in 5 yr CD and $3000 money in 6 month CD.

What is Simple interest?

Simple Interest (S.I.) is a formula used to determine how much interest will accrue on a given principal amount at a certain rate of interest.

Let he has invested x amount in 5 yr CD

So, he must have invested (x-2000) in 6 month CD

total amount of interest from these investments was $1605.00

we know that Simple interest = p × r × t

Now, total interest =  interest from 5 yr CD + interest from 6 month CD

             1605          = (x × 6.3% × 5) + ( x-2000)×2%× 0.5

             1605          = 0.315x + 0.01x - 20

             1625          = 0.325x

∴         x = 1625/0.325 = 5000.

Hence, he has invested $5000 in 5 yr CD and $3000 in 6 month CD.

Learn more about Simple Interest from the given link :

https://brainly.com/question/25793394

#SPJ1

Given:

The triangles  ΔKRO and ΔKCO are right triangles with common leg and congruent hypotenuse. It is sufficient for HL (Hypotenuse - leg) congruence. RK and KC are hypotenuse and OK is common leg.

     Statement                                       Reason                

Given:

To prove FG ≅ AG, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, one side is common to both triangles, another pair of congruent angles is formed by the angle bisector. The common side is adjacent to one of the congruent angles but not included.

     Statement                                       Reason                

To determine the number of light bulbs expected to last between 2030 hours and 2060 hours, we need to calculate the z-scores corresponding to these values and then use the z-score formula to find the proportion of light bulbs within this range.

The z-score formula is given by:

z = (x - μ) / σ

where:

x = value

μ = mean

σ = standard deviation

For 2030 hours:

z1 = (2030 - 2000) / 25

For 2060 hours:

z2 = (2060 - 2000) / 25

Now, we can use the z-scores to find the proportions associated with each value using a standard normal distribution table or calculator. The table or calculator will provide the area/proportion under the normal curve between the mean and each z-score.

Let's calculate the z-scores and find the proportions:

z1 = (2030 - 2000) / 25 = 1.2

z2 = (2060 - 2000) / 25 = 2.4

Using a standard normal distribution table or calculator, we can find the proportions corresponding to these z-scores:

P(z < 1.2) ≈ 0.8849

P(z < 2.4) ≈ 0.9918

To find the proportion of light bulbs expected to last between 2030 hours and 2060 hours, we subtract the cumulative probabilities:

P(2030 < x < 2060) = P(z1 < z < z2) = P(z < z2) - P(z < z1)

P(2030 < x < 2060) ≈ 0.9918 - 0.8849

Finally, we multiply this proportion by the total number of light bulbs (665) to get the estimated number of light bulbs expected to last between 2030 hours and 2060 hours:

Number of light bulbs ≈ (0.9918 - 0.8849) * 665

Rounding to the nearest whole number, the expected number of light bulbs that would last between 2030 hours and 2060 hours is approximately 71.\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)