What is the slope of the line shown ?

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

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

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Answer:

10

Step-by-step explanation:

Distance is always positive

|-10-0|=10

Mark me brainliest!!

Answer:

10! if you can make me brainiest id be happy:)!

Step-by-step explanation:

Answer:

3/5, 70%, 0.75

Step-by-step explanation:

0.75 , 3/5 , 70%

0.75 = 75/100 = 75%

3/5 = 60/100 = 60%

From least to greatest is: 3/5, 70%, 0.75

Answer:

3/5,70%,0.75

Step-by-step explanation:

3/5=0.6

70%=0.7

0.75=0.75

The three numbers are 61, 427 and 161.

What is the sum of numbers?

A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, thousand, or a million. There are summations with an infinite number of terms.

As given, one number is 7 times the first number, third number is 100 more than the first number and the sum of three numbers is 649.

Suppose the first number is x, then the second number is 7x and the third number is x + 100.

Sum of these three numbers is, 649.

x + 7x + x + 100 = 649

                    9x = 549

                      x = 61

Therefore, the first number is 61, the second number is 7x = 427, and the third number is x + 100 = 161.

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On solving the provided question we can say that - the value of the equation x = y^2 -5 from the graph will be 59.

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

here, the equation from the graphs is

\(x = y^2 -5\)

and y = 8

x = 59

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Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

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The meaning of the y-intercept of the linear function is given as follows:

The tablet starts with 40 percent of battery remaining.

The two most important features of a linear function are the slope and the intercept, and their meaning is explained as follows:

When x = 0, y = 40, hence the intercept of this function is of 40, representing the initial value of 40 of the percentage of battery remaining.

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Answer: 260 ft^2

Step-by-step explanation:

Find the area of the triangle: 0.5*height*base = 0.5*10*20 = 100 ft^2

Find the area of the rectangle: 20*8 = 160 ft^2

Add them together: 160+100 = 260 ft^2

The slope which shows  the cost per guest is $35 per guest

The given cost for 50 guests is $2150.

The cost for 75 guests is $3025.

It can also be represented as:

(Guest, Cost) =(50, $2150) & (75, $3025)

The slope can now be calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (50, $2150) & (75, $3025)

Substituting the given values in the equation as follows:

Slope = (3025 - 2150)/(75 - 50)

Slope = 35

Hence, the slope is $35 per guest.

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450.46497

\(We\ know\ that:\)

\(\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.\)

________________________________________________

\(Substitute\) \(\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.\)\(into\ formula\)

\(F=P*(1+r/n)^n^t\\ F=400\bullet(1+2\bullet\frac{1}{100})^6\)

_________________________________________________

\(Evaluate\ the\ equation/expression:\\ 450.46497\)

I hope this helps you

:)

We will use the relation \(\frac{QS}{SR}=\frac{PO}{OR}\)

The correct option is option C)

What is similarity in triangle?

We say two triangles are similar if all the corresponding angles of the two triangle are equal and all the corresponding sides are in equal proportions.

We are given the diagram

We first prove that Δ\(POR\)≅Δ\(QSR\)

∠\(PRO\)≡∠\(QRS\)                   (Same angle)

∠\(RPO\)≡∠\(RQS\)                   (Corresponding angle)

Hence by AA test of similarity the two triangles are similar

And therefore the corresponding sides of two triangles are in same ratio

Therefore we have,

\(\frac{PO}{QS}} =\frac{OR}{SR} =\frac{PR}{QR}\)

\(\frac{PO}{QS}} =\frac{OR}{SR}\)

And hence, \(\frac{QS}{PO}} =\frac{SR}{OR}\)

\(\frac{QS}{SR}} =\frac{PO}{OR}\)

Hence we will select option C)

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The exponential model for the lily pad colony is L(t) = A\((1+r)^{kt}\) and the values of A=5 and k=1.2.

Over time, anything grows in quantity through an exponential growth process. When a quantity's rate of change over time (or derivative) is proportional to the quantity itself, this phenomenon takes place. A number that is increasing exponentially is referred to as a function, and the exponent, which stands for time, is the variable that represents time (in contrast to other types of growth, such as quadratic growth).

When a quantity decrements with time, it is considered to be experiencing exponential decay rather than a positive constant of proportionality. It is also known as geometric growth or geometric decay when the definition's discrete domain has equal intervals since the values of the function form a geometric progression.

Given, there are 5 lily pads that are found in a pond

And after 30 days, there are 16 lily pads in that pond

Here, a=5

r=(11-5)/5=1.2

f(x)=a(1+r)ˣ

f(x)=5(1+1.2)³⁰

From the above equation, A=5, and k=1.2

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Answer: it will take Anthony 8 nights to finish the book.

Step-by-step explanation:

To find how many nights it will take Anthony to finish the book, we can use the following steps:

Determine how much of the book Anthony has left to read:

Total chapters in the book = 2 1/3 + 1/3 = 2 2/3 chapters

Amount of book left to read = 2 2/3 - 0 = 2 2/3 chapters

Determine how much of the book Anthony reads each night:

Amount of book read each night = 1/3 chapter

Divide the number of books left to read by the number of books read each night to find the number of nights it will take to finish the book:

Number of nights = (2 2/3) ÷ (1/3) = (8/3) ÷ (1/3) = 8

Therefore, it will take Anthony 8 nights to finish the book.

Answer:

there is no attached picture...

Step-by-step explanation:

Answer:

1

 \(B  =  7.07 \  cm\)

2

\(A  =848.4 cm^2 \)

3

\(A_T  = 948.37 \  cm^2 \)

Step-by-step explanation:

From the question we are told that  

   The lateral edge of a square prism is  \(d = 30 \ cm = 0.3 \ m\)

    The angle of inclination is  \(\theta = 70^o\)

    The volume of the prism is  \(V = 1500\ cm^3\)

Generally the base of the prism is mathematically represented as

     \(B  =  \sqrt{\frac{V}{ d} }\)

=>   \(B  =  \sqrt{\frac{1500}{ 30} }\)

=>   \(B  =  7.07 \  cm\)

Generally the lateral  area of the prism is mathematically represented as

       \(A  = 4 *  B  *  d\)

=>     \(A  = 4 *  7.07  *  30 \)

=>     \(A  =848.4 cm^2 \)

Generally the total area of the prism is mathematically represented as

     \(A_T  =  2 * B  + A\)

=>   \(A_T  =  2 * (7.07)  + 848.4\)

=>   \(A_T  = 948.37 \  cm^2 \)

Answer:

The square root of 57 with one digit decimal accuracy is 7.5.

Step-by-step explanation:

Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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Answer:

B

Step-by-step explanation:

The word best describes the degree of overlap between the two data sets

O low

The degree of overlap generally refers to the extent to which two or more sets share common elements.

Specifically the degree of overlap can be defined as the number of elements that are contained in more than one of the sets being considered

In the problem the degree of overlap is low, since the data points shared only points 50 and 55

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Answer:

83 degrees

Step-by-step explanation:

See attachment below:

Answer:

its sampling distribution is centered exactly at the parameter it estimates.

Step-by-step explanation:

An unbiased estimator is an estimator that shows the correct statistic applied for the parameter of the population

Here correct represents that it should not be overestimated or underestimated. In the case when there is an underestimate or overestimate this means that there is a bias

So as per the given options the above option is correct

The domain and range of the given graphs are as follows,

(b) Domain: x ∈ (-∞, ∞), Range: y ∈ (-∞, ∞)

(c) Domain: x ∈ [-2, ∞), Range: y ∈ [1, ∞)

Determining the Domain and Range from a Graph

The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The various output values are represented on the y-axis as the range.

Thus, in graph (b),

Since the values of the given curve extends infinitely (denoted by arrowhead of the curve) on positive as well as negative sides for both the axes, x and y, its domain and range both are (-∞, ∞).

Similarly, in graph (c),

The minimum value on x-axis or abscissa is -2 and maximum is infinity. Hence, its domain is [-2, ∞). The minimum ordinate value or y-coordinate is 1 and maximum is infinity. Thus, its range is [1, ∞).

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According to the question there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.

A website is a collection of related web pages, images, videos, and other digital assets that are hosted on a web server and can be accessed by users over the internet. A website is typically identified by a unique domain name and can be accessed by typing the URL into a web browser.

Using the formula for calculating the number of combinations of size k from a set of size n (n choose k), we can calculate the number of distinct website graphics that can be created by using at least four of seven different bitmap images as follows:

n = 7 (7 different bitmap images)
k = 4 (at least 4 of the 7 bitmap images)
Number of distinct website graphics = (7 choose 4) = 35
Therefore, there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.

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Answer: y=(x-5)^2-16

Answer:

Step-by-step explanation:

First, we need to use the formula -b/2a.

We get 10/2 which equals 5.

Now we have our x-coordinate. Now we need to find out y-coordinate. We have to plug 5 back in as x to get the y-variable.

5^2 - 10(5) + 9

25 - 50 + 9

34 - 50

-16

Now that we have our x and y coordinates, we can make our vertex.

(5,-16)

Finally, we need to put this into vertex form. We see that the vertex form is y = a(x-h)^2 + k. We plug the x variable into the h value and the y variable into the k value. We don't need the a variable because we are only looking for the vertex and the vertex form.

y = (x-5)^2 - 16

Walah! There is our answer!

The nearest Whole number, the missing dimension (height) of the cylinder is approximately 39 inches.

The missing dimension of the cylinder, we can use the formula for the volume of a cylinder:

Volume = π * r^2 * h

Given that the volume is 10,000π in³ and the diameter of the base is 32 inches, we can determine the radius (r) of the cylinder.

The diameter is twice the radius, so the radius is half of the diameter:

r = 32 inches / 2 = 16 inches

Substituting the known values into the volume formula, we have:

10,000π in³ = π * (16 in)^2 * h

Cancelling out the common factor of π, we get:

10,000 = 16^2 * h

Simplifying further:

10,000 = 256 * h

To isolate h, we divide both sides of the equation by 256:

h = 10,000 / 256

Calculating the value of h:

h ≈ 39.06

Rounded to the nearest whole number, the missing dimension (height) of the cylinder is approximately 39 inches.

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The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and  \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line:

y = -8x + 6

Using the slope intercept:

Slope m = -8

Since the desired line is parallel, it will have the same slope.

Therefore, the slope of the parallel line is also -8.

Plug in the slope m = -8 and the poin (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

( y - 5) = -8( x - 7 )

Simplify

y - 5 = -8x + 56

y = -8x + 56 + 5

y = -8x + 61

The equation of the parallel line is y = -8x + 61.

For the perpendicular line:

The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.

Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)

Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).

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Answer:

50.3 square units

Step-by-step explanation:

area of rectangle: 11 x twice the radius

radius = 2

A(rect): = 11(4) = 44 sq units

A (semi-circle) = (π·r²) / 2

A = 4π / 2 = 2π = 6.28 sq units

44.0 + 6.28 = 50.28

Answer:

- 3 + x = 21

X = 24

Step-by-step explanation:

- 3 + x = 21

X = 21 + 3

X = 24

Step-by-step explanation:

Substitute the value of y in the expression.

\( \implies \sf {z}^{2} - 7y - 6 \\ \implies \sf {z}^{2} - 7(5) - 6 \\ \implies \sf {z}^{2} - 35 - 6 \\ \implies \sf {z}^{2} - 41\)

Therefore, z² – 41 is the answer.

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.