It’s an image can you solve a step-by-step with the answer

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

Answer:

Trapezoid

mAB = -2/3

mBC = 8

mCD = -2/3

mAD = 14/5

Step-by-step explanation:

Slope formula can be best seen as:

m = (y2 - y1) / (x2 - x1)

Step 1 : Find the Slope of each points

mAB = -2/3

mBC = 8

mCD = -2/3

mAD = 14/5

Step 2 : Classify the Quadrilateral

Rhombus Properties | All side lengths are the same and opposide sides have same slope

Kite | Adjacent sides are the same length

Trapezoid | One set of parrallel line (same slope)

Final Answer

Based on the properties of quadrilaterals, it is a trapezoid as it has one pair of parrallel line with the same slope of -2/3.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.

For x=0, ...

  y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept

For x=1, ...

  y = -4·1 -1 = -5 . . . . the point is (1, -5)

The attached graph shows these points and the line through them.

Answer:

75 cents

Step-by-step explanation:

16 divided by 12 is 0.75 and 0.75 x 16 is 12

Therefore, the degree of the polynomial is $7-2=5$

A polynomial is a mathematical expression that consists of one or more terms, which are made up of constants, variables, and exponents. The terms are combined using addition, subtraction, and multiplication operations.

Given by the question.

One example of a polynomial that might be puzzling to figure out the degree is:

f(x) = \(\frac{(x-1)^{4} (x+2)^{3} }{(x-3)^{2} }\)

At first glance, it may not be immediately clear what the degree of this polynomial is. However, we can simplify the expression by expanding the numerator and cancelling out common factors:

f(x)= \(\frac{(x-1)^{4} (x+2)^{3} }{(x-3)^{2} }\) = \(\frac{(x-1) (x-1) (x-1) (x-1) (x+2) (x+2) (x+2)}{(x-3) (x-3)}\)

Now we can see that the degree of the polynomial is the sum of the degrees of the factors in the numerator minus the degree of the denominator. In this case, the degree of the numerator is $4+3=7$ and the degree of the denominator is $2$

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The fraction of the reading assignment done by Tuesday night is 1/2.

Given:

Let the total reading assignment be x.

Fraction of the reading assignment finished by Tori on Monday afternoon = (1/6)x

Fraction of the reading assignment finished by Tori on Tuesday afternoon = (1/3)x

The fraction of the reading assignment done by Tuesday night is,

Total - Fraction of the reading assignment completed by Tori

= \(x -(\frac{x}{6} + \frac{x}{3} )\)

= \(x -(\frac{x+ 2x}{6} )\)

= \(x - \frac{3x}{6}\)

= \(x -\frac{x}{2}\)

= \(\frac{2x-x}{2}\)

= \(\frac{x}{2}\)

So, 1/2 of the reading assignment(x) was done by Tuesday night.

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P(event) represents the probability of an event occurring.

Probability is a branch of mathematics that deals with the study of random events or experiments. It is the measure of the likelihood or chance that a particular event will occur. Probability is expressed as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to happen.

An event is a set of outcomes of a random experiment, and the probability of an event is the measure of how likely it is to occur.

Here are some examples:

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Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

Answer:

b=4 and a does not equal 3

Step-by-step explanation:

For the system to have no solutions

The x terms have to have the same coefficient and the constants have to be unequal

b=4 and a does not equal 3

Answer:

D) 80

Step-by-step explanation:

<7 = <2 b/c they're alternate exterior angles

Answer:

13 hours

Step-by-step explanation:

155 + 92 = 247

247 / 19 = 13

Greetings from Brasil...

The number thought will be X, so

6.(X - 7/3) = 2 - 2X

Answer: BAR CHART

Step-by-step explanation:

Histogram is the displays would represent the given data. Therefore, option D is the correct answer.

The given data is 77, 78, 81, 62, 63, 65, 81, 92, 93, 89, 91, 78, 66, 75, 78, 80, 91, 93, 95, 93, 91, 88, 76, 89, 91, 96.

The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.

The ascending order of given numbers is 62, 63, 65, 66, 75, 76, 77, 78, 78, 78, 80, 81, 81, 88, 89, 89, 91, 91, 91, 91, 92, 93, 93, 93, 95, 96.

Use the class intervals 60-70, 70-80, 80-90, 90-100, plot the histogram for the given data set.

Histogram is the displays would represent the given data. Therefore, option D is the correct answer.

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Answer:

A positive standard score indicates that the original score is greater than the mean

Step-by-step explanation:

please mark as brainliest

A negative standard score indicates that the original score is lower than the mean.

A standard score, also known as a z-score, is a statistical measure that represents the number of standard deviations an individual score is away from the mean of a distribution. It provides a standardized way to compare and interpret individual scores within a dataset.

When the standard score is negative, it means that the original score is below the mean of the distribution. In other words, the value associated with the score is lower than the average value in the dataset.

For example, if we have a dataset with a mean of 50 and an individual score of 45, we can calculate the standard score (z-score) using the formula:

z = (x - μ) / σ

where x is the original score, μ is the mean, and σ is the standard deviation.

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Answer:

c = $1.4

p = $2.8

Step-by-step explanation:

two equations can be derived from the question

6p + 5c = 23.80 equation 1

7p + 6c = 28  equation 2

p = plates

c - cups

multiply equation 1 by 7 and equation 2 by 6

42p + 35c = 166.60  equation 3

42p + 36c = 168  equation 4

subtract equation 3 from 4

c = 1.4

substitute for c in equation 1

6p + 5(1.4)  = 23.80

p = (23.80 - 7) / 6

p = 2.8

Answer: The length of the path along the longest side of the park would be 35 yds.

Step-by-step explanation: Area of triangle = (1/2) x base x height294 = (1/2) x 21 x heightMultiplying both sides by 2 and dividing by 21, we get:height = 28So the other leg of the triangle is 28 yds.Now we can use the Pythagorean theorem to find the length of the hypotenuse:hypotenuse² = shortest side² + other leg²hypotenuse² = 21² + 28²hypotenuse² = 441 + 784hypotenuse² = 1225Taking the square root of both sides, we get:hypotenuse = 35Therefore, the length of the path along the longest side of the park would be 35 yds.

The median score of the sample size is actually 75, as it is the middle value of the sorted scores.

The median is a measure of central tendency, which gives us a better understanding of the data by telling us the middle value of a set of numbers. To calculate the median of a random sample of students, the scores must first be sorted in ascending order: 0, 50, 50, 70, 70, 80, 90, 90, 90, 100. Then, the middle value can be found. In this case, the middle value is the fifth out of the ten scores, which is 80. Therefore, the median score is 80. However, this statement is incorrect because the median is actually 75. This is because the fifth and sixth scores (80 and 90) are both middle values, and when there are two middle values, the median is found by taking the mean of the two numbers (80 + 90 = 170; 170 ÷ 2 = 85). Therefore, the median of this random sample size of students is 75.

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Answer:

x +y ≥ 600

This would be the inequality this is probably wayy late sorry :(

Answer:a or d

Step-by-step explanation:

Answer:

(-7)2 = -14

Step-by-step explanation:

The parenthesis basically mean "multiply". So, this is a simple equation meaning -7 x 2. And remember, anytime we multiply a positive by a negative, you get a negative. So, simply multiply 7 x 2 = 14 and add a negative sign to make the solution true. So, -7 x 2 or (-7)2 = -14

Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Also thank you for the generous points!! Stay safe and please mark brainliest!!

Answer:

-14

Step-by-step explanation:

just act as if -7 were positive then you know 7x2 = 14 cause' "()" means multiplication.

last, since 7 was negative in the first place then you turn your product back to a negative and you get -14

mark brainliest :)

Answer:

A. The third angle measures 30*

B. Two sides have the same length

The statement first “The third angle measures 30°” and statement second “Two sides have the same length.” are correct.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

Triangle with angle measures of 30° and 120°

Third angle measure = 180–30 – 120 = 30 degree

Two angles measures are same, and two sides have the same length.

Thus, the statement first “The third angle measures 30°” and statement second “Two sides have the same length.” are correct.

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Answer: 720

Step-by-step explanation:

Given

A club has 10 members and needs one president, a vice president, and a secretary

There are 10 positions for president i.e. 10 ways to select a member for it

Similarly, there 9 persons left to choose a position for vice president

likewise 8 persons for secretary

Total no of ways to do it are

\(\Rightarrow 10\times 9\times 8\\\Rightarrow 720\ \text{ways}\)

the limits of integration become u = 576(-1.079 + 3)²/4² to u = 576(3 + 3)²/0²:

L =

(2/3)∫(u = 207.36 to u = ∞) sqrt[1 + u] (-y³ / 1152(x + 3)²) du

We can use the formula for arc length of a curve given by:

L = ∫(a to b) sqrt[1 + (dy/dx)²] dx

First, we need to solve for x in terms of y:

y² = 16(x + 3)³

(x + 3)³ = y²/16

x + 3 = (y/2)^(2/3)

x = (y/2)^(2/3) - 3

Next, we find the derivative dy/dx:

y² = 16(x + 3)³

2y dy/dx = 16(3(x + 3)²)

dy/dx = 24(x + 3) / y

Now, we substitute x = (y/2)^(2/3) - 3 and dy/dx = 24(x + 3) / y into the formula for arc length:

L = ∫(0 to 1) sqrt[1 + (dy/dx)²] dx

L = ∫(0 to 1) sqrt[1 + (24(x + 3) / y)²] dx

L = ∫(0 to 4) sqrt[1 + (24(x + 3) / y)²] (2/3)y^(1/3) dy

L = (2/3)∫(0 to 4) sqrt[1 + 576(x + 3)²/y²] y^(1/3) dy

Now, we make the substitution u = 576(x + 3)²/y²:

du/dy = -1152(x + 3)²/y³

dy/du = -y³ / 1152(x + 3)²

When y = 4, x = (4/2)^(2/3) - 3 = -1.079

When y = 0, x = (0/2)^(2/3) - 3 = -3

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Answer:

Speak english i can't understand.

Step-by-step explanation:

The denominator is the bottom part of a fraction or ratio. It represents the total number or quantity that the numerator is being divided by or compared to. It provides context and scale for the value being expressed.

To find out how much stock is drilled to pierce both pieces, you need to add the thickness of the truck frame and the crossmember. Then, you can use that sum to determine how much stock needs to be drilled to pierce both pieces.

The thickness of the truck frame is given as 3/16 inch and the thickness of the crossmember is given as 13/64 inch. To add these fractions, you need to first find a common denominator, which in this case is 64.

So, 3/16 can be converted to 24/64 and 13/64 is already in the correct format. Adding these fractions gives:

24/64 + 13/64 = 37/64

Therefore, the combined thickness of the truck frame and crossmember is 37/64 inch. This is how much stock needs to be drilled to pierce both pieces.

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Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.- Numbers between 0 and 1: 1.9 × 10^⁻¹.- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.

The given numbers can be classified according to their values into three categories:

numbers greater than 1, numbers between 0 and 1, and numbers less than 1.


1. Numbers greater than 1:
- 3.2 × 10⁵:

This number is in scientific notation, where 10⁵ means multiplying the number by 10 five times.

So, 3.2 × 10⁵ = 3.2 × 100,000 = 320,000.
- 2.2 × 10³: Similarly, 2.2 × 10³ = 2.2 × 1,000 = 2,200.
- 2.4 × 10³: This number is the same as the previous one, so it also belongs to the category of numbers greater than 1.
- 2.5 × 10⁴: Similar to the previous numbers, 2.5 × 10⁴ = 2.5 × 10,000 = 25,000.

2. Numbers between 0 and 1:
- 1.9 × 10⁻¹ : Here, 10⁻¹ means dividing the number by 10 once. So, 1.9 × 10⁻¹ = 1.9 ÷ 10 = 0.19.

3. Numbers less than 1:
- 5.9 × 10²: This number is between 1 and 10, so it belongs to the category of numbers less than 1.
- 6.1 × 10¹: Similarly, 6.1 × 10^1 = 6.1 × 10 = 61.


- Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.
- Numbers between 0 and 1: 1.9 × 10^⁻¹.
- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.

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