when a curve and a line meet at a point, are their gradient equal?​

Answer:

133.87 ft

Step-by-step explanation:

Answer:

Question 1:  4/5 or %80

Question 2:  7/10 or %70

Step-by-step explanation:

Step 1:  Find the total amount of marbles

5 + 2 + 3

10

Step 2:  Find the probability of not drawing a black marble

Add the total amount of marbles that are not black

5 + 3

8

Now find the probability:  

8/10

4/5 or %80

Answer:  4/5 or %80

Step 3:  Find the probability of not drawing a red marble

Add the total amount of marbles that are not red

5 + 2

7

Now find the probability:

7/10 or %70

Answer:  7/10 or %70

Answer: its 4/81

Step-by-step explanation:

i just did it

The solutions to the equations are: a) x = 0, b) No real solutions, c) x = 7, -7.

In order to find the solutions to each equation, we can use a graph of the related function. Let's go through each equation:

a. x² + 4 = 4

Subtracting 4 from both sides of the equation, we get x² = 0. This means x = 0 is the only solution.

b. x² + 16 = 0

Subtracting 16 from both sides gives us x² = -16. Since the square of a real number cannot be negative, there are no real solutions to this equation.

c. x² - 49 = 0

Adding 49 to both sides yields x² = 49. Taking the square root of both sides gives x = ±7. So the solutions to this equation are x = 7 and x = -7.

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Answer: there is no x

Step-by-step explanation:

5x + 3(×)= 10x -2x -37

Open the bracket

5x + 3×= 10x -2x -37

Combine like terms

8x= 8x-37

8x - 8x = -37

0 = -37

Answer:

35.6

Step-by-step explanation:

35 * 3/5

35 * 5/5 + 3/5

175/5 + 3/5

178/5

35.6

Answer:  35.6

Zhen pattern will be

[tex]0, 18, 36, 54, 72, 90,\ldots[/tex]

Justin pattern will be

[tex]0, 6, 12, 18, 24, 30,\ldots[/tex]

Since Zhen always add 18 and Justin always adds 6, and 6 is one third of 18, the n-th element of Zhen's pattern will always be three times the n-th element of Justin's pattern.

Answer:

14.4

Step-by-step explanation:

Use the Pythagorean Theorem: a^2 + b^2 = c^2

Answer:

14.4

Step-by-step explanation:

Answer:

D.2.4

Step-by-step explanation:

Because it's a fraction and can be written in fraction as 240/100

Answer:

answer is C

Step-by-step explanation:

4/2 : rational

4/2 = 2 : integer

and When you simplify 4/2 you get 2, 2 is an integer.

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

3x - 9x + 7 - 3 = -8

Combine like terms

-6x +4 = -8

Subtract 4 from each side

-6x +4-4 = -8-4

-6x = -12

Divide each side by -6

-6x/-6 = -12/-6

x = 2

Answer:

4/12 or 2/6 or 1/3

Step-by-step explanation:

Answer: 48

Step-by-step explanation: The range is the difference between the greatest number in the data set and the least number in the data set which in this case is 108 - 60 or 48. So the range of this data set is 48.

Answer:

d

Step-by-step explanation:

Answer:

     [tex]25\leq 27[/tex]

Explanation:

1. Starting inequality:

      [tex]-125\geq -135[/tex]

2. Divide both sides by [tex]-5[/tex]

3. Rule

When you divide an inequality by a negative number, the inequality symbol has to be changed:

4. Solution

Thus, when dividing by -5 change the inequality symbol ≤ to ≤

      [tex]\dfrac{-125}{-5}\leq \dfrac{-135}{-5}\\\\\\25\leq 27[/tex]

Answer:

D. Positive association

Step-by-step explanation:

The line of best fit would have a positive slope

Answer:

The correct answer is B. 144

Answer:

Slope = 2

y-intercept = 1

x-intercept = -0.5

Standard Form ⇒ y - 2x = 1

Step-by-step explanation:

write the equation of the line through (-2 , -3) and (0,1)

The general form of the line is  y = mx + c

Where m is the slope and c is the y-intercept

The slope m = (y₂ - y₁)/(x₂ - x₁) = (1 - [-3])/(0 - [-2]) = 4/2 = 2

∴ y = 2x + c

By substitution with the point (0,1) to find c

1 = 2 *0 + c

c = 1

∴ y = 2x + 1

Or   y - 2x = 1 ⇒Standard Form

Also,

See the attached figure which represents the graph of the line y - 2x = 1

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following points:

[tex](x_ {1}, y_ {1}): (0,1)\\(x_ {2}, y_ {2}): (-2, -3)[/tex]

We find the slope:[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-3-1} {- 2-0} = \frac {-4} {- 2} = 2[/tex]

Thus, the equation is of the form:

[tex]y = 2x + b[/tex]

We substitute a point and find b:

[tex]1 = 2 (0) + b\\b = 1[/tex]

Finally, we have:

[tex]y = 2x + 1[/tex]

On the other hand, the equation in the standard form is given by:

[tex]ax + by = c[/tex]

So, according to the slope-intersection equation we have:

[tex]2x-y = -1[/tex]

Answer:

[tex]y=2x+1\\2x-y=-1[/tex]

Answer:

[tex]512\ m^{3}[/tex]

Step-by-step explanation:

Volume of any cube equals a product of all the edge lengths. Since there are 3 edges:

[tex]V = a^{3} = 8^{3} = 512\ m^{3}[/tex]

The required area of the cube with an edge length of 8 meters is 512 cubic meters.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

here,
A cube has an edge length of 8 meters.
The volume of the cube = a³
The volume of the cube = 8³ = 512 cubic meters

Thus, the required area of the cube with an edge length of 8 meters is 512 cubic meters.

Learn more about Volume here:
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Answer:

They each used 60 dollars in total

Step-by-step explanation:

They each brought 12 dollars and if you multiply it by 5 that's how much they spent in total

A. The perimeter of quadrilaterals are same when x=2.

B. The area of quadrilaterals are same when x=4.6

Step-by-step explanation:

A. Perimeter of the quadrilaterals must be equal.

Perimeter of square = Perimeter of rectangle

4(6) = 2(2+3x+4)

⇒ 24 = 2(3x+6)

⇒ 24 = 6x + 12

⇒ 6x = 12

⇒ x = 12/6

x = 2

For x=2, the perimeters of both the quadrilaterals are same.

B. Area of the quadrilaterals must be equal.

Area of square = Area of rectangle

(6)² = 2(3x+4)

36 = 6x+8

6x = 28

x = 28/6

x = 4.6

For x=4.6, the area of both the quadrilaterals are same.

Answer:

(4,3), y-coordinate is 3

Step-by-step explanation:

If we're translating down, that means we are subtracting however many units we go down by the y-coordinate.

So 5-2=3, and the new y-coordinate is 3

Answer is (4,3)

Step-by-step explanation:

So you need to this...

(x), (y-2)

Now you need to leave the x because It won't do nothing but the y yes because it said bring 2 units down so its (y-2) because its going negative. Now subtract the number you have given.

Now replace y with 5 and subtract 2.

Now you will be given the answer (4,3)

Hope this helps you :)

Answer:

[tex] \pm1[/tex]

Step-by-step explanation:

The given equation is

[tex] {x}^{3} - 4x + 1 = 0[/tex]

According to the rational roots theorem, the possible rational roots are all factors of the constant term, expressed over all

factors of the leading coefficient.

The factors of the leading term, 1 are:

±1

The factors of the leading coefficient are:

±1

The possible rational roots are:

[tex] \pm1[/tex]

Answer: 5.43

Step-by-step explanation:

To find the Mean, sum the values and divide by the number of values

=9.6 + 2 + 4.1 + 8 + 5.9 +2 + 3.7 + 6 + 7.6/9

= 48.9/9

=5.43

I hope this helps.

Question:

If y varies inversely with the square of r, what is the constant of proportionality when y =10 and r = 5?

Answer:

The constant of proportionality is 250

Solution:

Given that,

y varies inversely with the square of r

Which means,

[tex]y \propto \frac{1}{r^2}\\\\y = k \times \frac{1}{r^2}[/tex]

Where, "k" is constant of proportionality

Subtitute y = 10 and r = 5

[tex]10 = k \times \frac{1}{5^2}\\\\10 = k \times \frac{1}{25}\\\\k = 10 \times 25\\\\k = 250[/tex]

Thus the constant of proportionality is 250

Answer:

That 1st one will be in the negatine seconw one will de positive

Answer:

1. For the median (as per the question posted): the median of Justin's earnings is more than the median of TJ's earnings

Difference = $3

2. For the mean (as per the requirement in the image): the mean of TJ's earnings is more than the mean of Justin's earnings

Difference = $4

Explanation:

The complete question is shown in the attached image

1. The median:

a. For Justin:

He earned the following: $32, $45, $50, $33 and $50

Arranging the data: $32, $33, $45, $50 and $50

The middle value is: $45

The median is: $45

b. For TJ:

He earned the following: $58, $48, $40, $42 and $42

Arranging the data: $40, $42, $42, $48 and $58

The middle value is: $42

The median is: $42

c. Comparing the medians:

From the above, we can conclude that the median of Justin's earnings is more than the median of TJ's earnings

Difference = $45 - $42 = $3

2. The mean:

a. For Justin:

He earned the following: $32, $45, $50, $33 and $50

Summing the data: $32 + $33 + $45 + $50 + $50 = 210

Number of values in the data= 5

The mean is: [tex]\frac{210}{5}=42[/tex]

b. For TJ:

He earned the following: $58, $48, $40, $42 and $42

Summing the data: $40 + $42 + $42 + $48 + $58 = $230

Number of values in the data: 5

The mean is: [tex]\frac{230}{5} = 46[/tex]

c. Comparing the values:

From the above, we can conclude that the mean of TJ's earnings is more than the mean of Justin's earnings

Difference = 46 - 42 = $4

Hope this helps :)

Amount of ice-cream in the cone = 6.3 in³

Solution:

Given data:

Diameter of the cone = 2 in

Radius of the cone = 2 ÷ 2 = 1 in

Height of the cone = 6 in

The value of π = 3.14

Volume of the cone = [tex]\frac{1}{3} \pi r^2 h[/tex]

                                 [tex]$=\frac{1}{3}\times 3.14\times 1^2\times 6[/tex]

                                 = 6.3

Volume of the cone = 6.3 in³

Amount of ice-cream in the cone = 6.3 in³

Answer:

6.3 in ^3

Step-by-step explanation:

Trust me ;)

Answer:

x= -2

Step-by-step explanation:

Please see attached picture for full solution.

Answer: A

Step-by-step explanation:

Triangle Proportionality Theorem Converse states that if a line divides two sides of a triangle proportionally, then it is parallel to the third side.

Answer:

90 degrees pi/2 radians

I think so but i dont know

Step-by-step explanation: