PLEASE HELP 25 POINTS, state the slope

Answer:

We conclude that the range of the function will be:

R = {5, 17, 29}

Step-by-step explanation:

Given

Given the function

f(x) = 6x-1

Given the domain

D = {0, 3, 5}

To Determine:

The range R = ?

We know that range of the function consists of all the y-values for the x-values in the domain of the function.

so substituting the values of x = 0, 3, and 5 in the function to determine the corresponding y-values.

Plug in x = 0

y = 6x-1

y = 6(0) - 1 = 6-1 = 5

Plug in x = 3

y = 6x-1

y = 6(3) - 1 = 18-1 = 17

Plug in x = 5

y = 6x-1

y = 6(5) - 1 = 30-1 = 29

Now, combine all the determined y-values which are 5, 17, and 29.

Therefore, we conclude that the range of the function will be:

R = {5, 17, 29}

Answer:

72.5 tickets have to be sol to meet the goal

Step-by-step explanation:

The vertices are (0, -56) and (0, 56) and the foci are (0, -71.466) and (0, 71.466).

Given equation is `y²/56² - x²/33² = 1`

We have to find the vertices and foci of the hyperbola. A hyperbola is defined as the set of all points in a plane such that the difference of the distance between the two points (foci) is constant.Let's write the given equation in the standard form of the hyperbola. `

((y - k)² / a²) - ((x - h)² / b²) = 1`.Comparing it with the given equation, we get:`(y² / 56²) - (x² / 33²) = 1`.We can conclude that:

`a² = 56², b² = 33²`.

The value of a is greater than b.

Hence, the hyperbola is of the form `y² / a² - x² / b² = 1`.

The center of the hyperbola is the origin `(0, 0)` because there is no term of the form `(x - h)` or `(y - k)`.`

Vertices`:The distance between the center and the vertices is equal to `a`.Hence, the vertices are `(0, ±a)`.

Substituting `a = 56²` gives the vertices `(0, ±56)`.

Therefore, the vertices are `(0, -56)` and `(0, 56)`.`Foci`:The distance between the center and the foci is given by `c`.

Using the relation, `c² = a² + b²`, we can find the value of `c`.

c² = a² + b²c² = 56² + 33²c² = 5,105c = 71.466

Therefore, the distance between the center and the foci is 71.466.The foci are located on the y-axis, so the x-coordinate of the foci is zero.The foci are `(0, ±c)`.Substituting `c = 71.466` gives the foci `(0, ±71.466)`.

Therefore, the foci are `(0, -71.466)` and `(0, 71.466)`.Hence, the vertices are (0, -56) and (0, 56) and the foci are (0, -71.466) and (0, 71.466).Therefore, the vertices are (0, -56) and (0, 56) and the foci are (0, -71.466) and (0, 71.466).

To know more about vertices visit:-

https://brainly.com/question/29154919

#SPJ11

The probability that the sum will be an even number on the toss of two dice is  5/9 .

In the question ,

it is given that ,

the numbers on the faces of the dice are 1, 2, 3, 5, 7, and 8 .

the probability of getting an odd number first is = 4/6 = 2/3,

the probability of getting an even number first is = 2/6 = 1/3,

To get an even, we must get either 2 odds or 2 evens.

The probability of getting 2 odds is 4/6 × 4/6 = 16/36 .

The probability of getting 2 evens is 2/6 × 2/6 = 4/36.

If we add them together,

we get ,

= 16/36 + 4/36

= 20/36

= 10/18 = 5/9

Therefore , the required probability is 5/9  .

Learn more about Probability here

https://brainly.com/question/14986190

#SPJ4

The given function is f(x) = 3x.

To find the y-intercept, we plug in x = 0:

f(0) = 3(0) = 0

So the y-intercept is 0.

The domain of the function is given as (-2, -1, 0, 1, 2}. This means that the function is defined only for these values of x.

The range of the function is all real numbers, since for any real number y, we can find an x such that f(x) = y. We can see this from the fact that the function is a linear function with a non-zero slope.

The end behavior of the function as x approaches infinity depends on the sign of the coefficient of x, which is positive in this case. Therefore, as x → ∞, f(x) → ∞. Similarly, as x → -∞, f(x) → -∞.

Note that the given domain is a finite set of values, and does not affect the end behavior of the function as x approaches infinity or negative infinity...

If a cuboid weighs 100N and has sides 5cm by 10cm, then the area of cuboid is 0.005m².

Weight of the cuboid = 100N

Sides of the cuboid = 5cm by 10cm

A solid structure or a three-dimensional shape in geometry is called a cuboid. It is similar to a cube in that a cuboid can become a cube by changing the angles between faces or the lengths of the edges. A convex polyhedron with the same polyhedral graph as a cube is referred to as a cuboid in mathematics.

Calculating the area of the Cuboid -

= 5cm × 10cm

= 50cm²

Converting -

Area of Cuboid

= 50/10000 m²

= 0.005 m²

Read more about cuboid on:

https://brainly.com/question/26403859

#SPJ4

The equation, we have:

y^2 + (e/3)(1/y)(dy/dx) + ∞ = 0

We cannot determine the value of y' when x = 0 from the given equation since it leads to an indeterminate form.

To find the value of y' when x = 0, we need to take the derivative of the given equation with respect to x and then substitute x = 0.

The given equation is:

xy^2 + ey/3 + √x = e

Differentiating both sides with respect to x using the chain rule, we get:

y^2 + 2xyy' + (e/3)(1/y)(dy/dx) + (1/2√x) = 0

Now, substitute x = 0 into the equation:

y^2 + 0 + (e/3)(1/y)(dy/dx) + ∞ = 0

Since x = 0, the term (1/2√x) becomes ∞.

Know more about derivative here:

https://brainly.com/question/29144258

#SPJ11

Step-by-step explanation:

I'm not sure but he if he puts 14 Apples a day in hot water for 3 hours, I got 90÷14

which was 6 RM 6 which means he out 14 apples in hot water 6 times and he remains with 6 apples(I don't know what he does with those) but since he puts 14 apples 6 times for 3 hours multiply 6×3=18 hours again, I'm not sure if this is correct at all but I hope I at least triggered something that you can think of?

The perimeter of the triangle is 35.0 inches

We should know that perimeter of an object is the distance round the very object.  the triangle has three sides, then the perimeter of the trianggle is the sum of the three sides.

Hence the altitude forms a right angled triangle, there are two right angled triangles.

Using  the Pythagoras theorem, let the two sides of the triangle be x and y

X²=13²+4²    (the altitude divided the base into 2)

x²=169+16

x²=185

Taking the square root of both sides

x=\(\sqrt{185}\)

x=13.6 inches

For the length y

Use the same Pythagoras theorem

X²=13²+4²

x²=169+16

x²=185

x=13.6 inches

The perimeter is 8+13.6+13.6 = 35.2 inches

Therefore, the  perimeter of the triangle to the nearest tenth is 35.0 inches

Learn more about perimeter of triangles on https://brainly.com/question/29507476

#SPJ1

Complete question :

In which number does the digit 3 have a value that is 10 times as great as the value of the digit 3 in 143,728? 137,982 142,398 292,389 392,097

Answer:

137,982

Step-by-step explanation:

The value of digit 3 in 143, 728

3 in 143,728 is in the 1000 thousand place, hence, digit 3 has a value of :

3 * 1000 = 3000

Therefore, 10 times the value of digit 3 will be :

3000 * 10 = 30000

Feom the options given, we obtain the option where 3 has a value of 30000 if the number is expressed in expanded form:

The answer is 137,982

3 here is in the 10 thousand place = 3 * 10,000 =. 30,000

Answer:

(5,-3)

Step-by-step explanation:

You just find the middle #

(3,-1)  and   (7,-5)

the middle point of 3 and 7 is 5

the middle point of -1 and -5 is -3

so (5,-3)

If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

Visit here to learn more about correlation coefficient  : https://brainly.com/question/27226153
#SPJ11

Given:

Write the abve expression in the for of y=mx+c, then m will be the slope of the equation.

Compare the above expression with y=mx+c. The slope of the given equation is 2/3, and the correct option is option C.

The value of the given mathematical expression; m<13 is 39°

What is mathematical expression?

A mathematical expression is created when we successfully mix numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

Mathematical statements are called expressions if they have at least two words that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Given,

m<10 = 30° then need to find the value of m<13

When the value of m<10 is 30°

Then the value of the given equation m<13 is 30/10*13= 3*13=39°

Hence the value of m<13 is 39°

To learn more about mathematical expression from the given link

https://brainly.com/question/1859113

#SPJ9

9/32 is fraction of all the shapes are circles .

What does a math ratio mean?

Find the equivalent ratio for the total shapes:

Total Black Shapes : Total White Shapes = 5 : 11

Multiply by 2:

Total Black Shapes: Total White Shapes = 10 : 22

Find the ratio for the white shapes:

White circles : White squares = 3 : 7

Sum of the units = 3 + 7

Sum of the units = 10

Find the equivalent ratio for the total shapes:

Black circles : Black squares = 3 : 8

Multiply by 2:

Black circles : Black squares = 6 : 16

Sum of the units = 6 + 16

Sum of the units = 22

Combine the ratios:

white circles : white squares : black circles : black square = 3 : 7 : 6 : 16

Circles = 3 + 6

Circles = 9 units

Total = 3 + 7 + 6 + 16

Total = 32 units

Find the fraction of all the shapes that are circles:

Fraction = 9/32

Learn more about ratio

brainly.com/question/13419413

#SPJ9

Answer:i think it is 7/3

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

both divide by 60 so do 60 divided by 60 which is one

then 180 divided by 60 which is three

this gives you the answer

Answer:

1:3

Step-by-step explanation:

a ratio is basically the same as a fraction just in a different form. so it would be 60/180 simplified. both 60 and 180 can be divided by 60. so you would divide both numbers by 60 to get 1/3. this cannot be simplified any further. then to put it as a ratio it would just be 1:3

To find a point estimate for the population mean, we can calculate the sample mean using the given data. The point estimate for the population mean is 25.7 (rounded to one decimal place).

To calculate the point estimate for the population mean, we add up all the values in the sample and divide by the number of observations. In this case, the given data is 7, 39, 35, 33, 20, 29, 13, 19, 19, and 32. Summing up these values, we get 266. Dividing by the sample size, which is 10, we find the sample mean to be 26.6. Rounding this value to one decimal place, the point estimate for the population mean is 25.7. This estimate represents our best guess for the average value of the variable in the entire population based on the given sample.

Learn more about point estimate here: brainly.com/question/32051704

#SPJ11

Answer:

area = 8.75 ft²

Step-by-step explanation:

area = 1/2bh

area = 1/2(7)(2.5) = 8.75 ft²

Answer:

insert the image in the comment and ill tell you

Step-by-step explanation:

Answer:

D. LP ⊥ PN

Step-by-step explanation:

A rectangle is a four-angle parallelogram, so to demonstrate that LMNP is a rectangle, we must prove that LP is perpendicular to PN.

The vertical coordinates are L(-4,1), P(-3,-1) and N(3,2), then afterwards

PL = (-4 + 3, 1 + 1)

PL = (-1 , 2)

And,

PN = (3 + 3, 2 + 1)

PL = (6,3)

Now, consider the dot product,

PL.PN = (-1) (6) + (2) (3)

PL.PN = 0

As we can see that the two vectors having dot product is equal to zero as these vectors considered to be perpendicular.

Plus, It is mentioned that LMNP is a parallelogram

So,

m∠P  = m∠M = 90° and m∠L = m∠N = 180° - 90° = 90°

Therefore all parallelograms angles are equal to each other

Therefore the LMNP is a rectangle

Answer:

D just took it on edgenunity

Step-by-step explanation:

To find the p-value for the test examining the positive linear relationship between speed and jump height, you need to calculate the Pearson correlation coefficient, determine the degrees of freedom, and then find the corresponding p-value.

To determine the p-value for this test, we would need to conduct a hypothesis test using a linear regression model. The null hypothesis would be that there is no linear relationship between speed and jump height, while the alternative hypothesis would be that there is a positive linear relationship between the two variables.

After running the regression model and performing the hypothesis test, we would look for the p-value associated with the slope coefficient for speed. If this p-value is less than the chosen significance level (usually 0.05), we can conclude that there is convincing evidence of a positive linear relationship between speed and jump height for students like these.

Without actually running the regression model and hypothesis test, it is not possible to provide an exact p-value for this scenario.

To determine if there is convincing evidence of a positive linear relationship between speed (mph) and jump height (in) for students like these, you need to conduct a correlation test, specifically a Pearson correlation test. The p-value will help you determine the significance of the relationship.

Step-by-step explanation:

1. Gather the data: Obtain the values for speed (mph) and jump height (in) for each student.

2. Calculate the Pearson correlation coefficient (r): This value will help you measure the strength and direction of the linear relationship between the two variables. You can use statistical software or a calculator for this.

3. Determine the degrees of freedom (df): Calculate this by subtracting 2 from the total number of data points (n). Formula: df = n - 2.

4. Calculate the p-value: Using the Pearson correlation coefficient (r) and the degrees of freedom (df), you can find the p-value in a t-distribution table or by using statistical software.

5. Interpret the p-value: If the p-value is less than your chosen significance level (commonly 0.05), there is convincing evidence of a positive linear relationship between speed and jump height. If the p-value is greater than 0.05, there is not enough evidence to suggest a significant positive linear relationship.

In summary, to find the p-value for the test examining the positive linear relationship between speed and jump height, you need to calculate the Pearson correlation coefficient, determine the degrees of freedom, and then find the corresponding p-value. Comparing this p-value to your chosen significance level will help you conclude if there is convincing evidence of a positive linear relationship between the two variables.

Learn more about regression model at: brainly.com/question/14983410

#SPJ11

9514 1404 393

Answer:

  100√3 ≈ 173 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relationships.

  Sin = Opposite/Hypotenuse

  sin(60°) = height/(200 m)

  height = (200 m)sin(60°) ≈ 173.205 m

The height of the balloon is about 173 meters.

Answer:

-3

Step-by-step explanation:

Answer:

The rectangle is 3.5 yd x 4 yd

Step-by-step explanation:

Area = length x width = lw

l = length = 2w - 3

w = width

Area = 14(2w - 3)(w) = 14

2w² - 3w - 14 = 0

Use quadratic equation to find the 2 roots of w:  a = 2, b = -3, c = -14

w = 3.5, -2     disregard the negative root

width = 3.5 yd

length = 2(3.5) - 3 = 4 yd

The dimensions of the rectangle are approximately 2.23 yards by 1.46 yards.

We are assuming the width of rectangle to be "x" yards. Then, the length would be (2x - 3) yards, since it is 3 yards less than double the width. The formula for the area of a rectangle is A = l x w, so we can plug in the values we know:

14 = (2x - 3) x x

Expanding the brackets:

14 = 2x² - 3x

Put this equation=0:

2x² - 3x - 14 = 0

Using the quadratic formula:

x = (3 ± √(3² + 4 x 2 x 14)) / (2 x 2)

x = (3 ± √97) / 4

We can ignore the negative root, since the width cannot be negative. Therefore,

x ≈ 2.23

This is the width of the rectangle. To find the length, we can plug this value back into the expression we derived earlier:

length = 2x - 3

length ≈ 1.46

Therefore, the dimensions of the rectangle are approximately 2.23 yards by 1.46 yards

To learn more about dimensions here:

brainly.com/question/28107004#

#SPJ11

Answer:on the circle

Step-by-step explanation:

Point J(-3, 12) is lying on the circle whose center is located at point D(-1, 3).

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have a center of the circle at D(-1, 3)

And point G(-10, 1) is on the circle.

We know the standard equation of the circle when a center is given:

\(\rm (x-h)^2+(y-k)^2=r^2\)

Where r is the radius of the circle and (h, k) is the center of the circle.

Here (h, k) ⇒ (-1, 3)

The circle equation becomes:

\(\rm (x+1)^2+(y-3)^2=r^2\)

Put the point on the circle equation to get the radius of the circle:

\(\rm (-10+1)^2+(1-3)^2=r^2\)

\(\rm (-9)^2+(-2)^2= r^2\\\\\rm 81+4 = r^2\\\\ \rm r = \sqrt{85} \ units\)

Equation of circle is:

\(\rm (x+1)^2+(y-3)^2=85\)

Now put the point J(-3, 12 ) in the circle equation:

\(\rm (-3+1)^2+(12-3)^2=85\)

4+ 81 ⇒ 85

It means point J is lying on the circle.

Thus, point J(-3, 12) is lying on the circle whose center is located at point D(-1, 3).

Learn more about circle here:

brainly.com/question/11833983

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/28853425

#SPJ1