Solve each two step inequality and graph the solution set on a number line. 21 - 9x ≥ -6

The slope of two points is found by subtracting the y-coordinate of the first point from the y-coordinate of the second point, then dividing the result by the difference of the x-coordinates of the two points.Slope = -1.33

To find the slope of two points (x1, y1) and (x2, y2), subtract the y-coordinate of the first point from the y-coordinate of the second point, then divide the result by the difference of the x-coordinates of the two points. The formula for finding the slope of two points (x1, y1) and (x2, y2) is:

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

For example,

if (x1, y1) = (4, 6) and (x2, y2) = (7, 2),

then the slope is calculated as follows:

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

= (2 - 6) / (7 - 4)

= -4 / 3

= -1.33.

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Answer:

\(\sf 113 \ km^3\)

Step-by-step explanation:

Volume of cylinder:

Find radius from the diameter.

        r = 12 ÷ 2

        r = 6 km

       h = 1 km

Substitute r and h in the below formula,

      \(\boxed{\text{\bf Volume of cylinder = $\bf \pi r^2h$}}\)

                                           \(\sf = 3.14*6*6*1\\\\= 113.04 \\\\ =113 \ km^3\)

Hello !

Answer:

\(\Large \boxed{\sf V\approx 113.0\ km^3}\)

Step-by-step explanation:

The volume of a cylinder is given by \(\sf V=\pi\times r^2\times h\) where r is the radius and h is the heigth.

Given :

Let's replace r and h with their values in the prevous formula :

\(\sf V=\pi\times6^2\times1\\V\approx 3.14\times 36\\\boxed{\sf V\approx 113.0\ km^3}\)

Have a nice day ;)

Answer:

A

Step-by-step explanation:

So we have the equation:

\(-15=5a+12-2a+6\)

On the right combine like terms:

\(-15=5a-2a+12+6\\-15=3a+18\)

Subtract 18 from both sides. The right cancels:

\((-15)-18=(3a+18)-18\\-33=3a\)

Divide both sides by 3:

\((-33)/3=(3a)/3\\a=-11\)

The answer is A, -11.

Answer:

a = -11

Step-by-step explanation:

-15 = 5a +12- 2a + 6

Combine like terms

-15 = 3a +18

Subtract 18 from each side

-15-18 = 3a+18-18

-33 = 3a

Divide each side by 3

-33/3 = 3a/3

-11 =a

The child passes through 18π radians in the course of the carousel ride.

To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.

Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.

Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.

To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.

6 minutes is equal to 360 seconds,

so the child passes through π/20 x 360 = 18π radians during the ride.

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Answer:

33

I hope this helps!

Answer:

Step-by-step explanation:

As Jaxon holding his hands a distance of 2.5 feet above the ground.

means h1= 2.5 feet

elevation angle from the hand is 33° so ∅=33°

distance of kite from his hand is  150 feet

so from the image we can see , now

as we know that  ,

Sin∅ =h2/150

Sin33°=h2/150

0.55 =h2/150                   (Sin33°= 0.545)

so h2= 81.70 feet

so height from ground is (H)=h1+h2= 2.5+81.70

H=84.20 feet

Concept:

We know that a ratio is a term in mathematics that signifies how many times one value contains the other.

Given: The number of cakes baked varies directly with the number of hours the caterers work.

Explanation:

From the given graph, it can observe that,

30 cakes are made in 1 hour. ( When we draw a vertical line from x = 1 to the curve, we get y=30 i.e. point is ( 1,30).

The required ratio of cakes baked to hours worked = 30: 1

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Answer:

p=33

Step-by-step explanation:

swap sides so that all variable terms are on the left hand side.

p-12=21

add 12 to both sides.

p=21+12

add 21 and 12 to get 33.

Answer: 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope formula= rise over run, or y2-y1 over x2-x1

y2=-4 y1=-18 x2=-7 x1=-7

-4-(-18)/-7-(7)

-22/-14 negative

Answer:

7/11

Step-by-step explanation:

the slope is positive. tell me what happens

Answer:

They have it on Hulu

Step-by-step explanation:

and I heard something about Naruto360.com.

Answer:

I watched it on Utube

Step-by-step explanation:

You can find the episodes free on Utube just type in the episode and you can find it in many languages

Answer:

I need points sorry for this

Answer:

-1

Step-by-step explanation:

The probability distribution can be constructed by dividing each value of p(x) by the sum of all p(x) values. This will give the proportion of each value in the distribution. The completed table is as follows: x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | p(x)| 0.030 | 0.061 | 0.139 | 0.243 | 0.186 | 0.117 | 0.064.

To construct the probability distribution, we need to find the probabilities for each value of x. The p(x) values given in the table represent the frequencies or counts of each value. To convert these counts into probabilities, we need to divide each p(x) value by the sum of all p(x) values.

In this case, the sum of all p(x) values is 7 + 14 + 32 + 56 + 43 + 27 + 15 = 194. To find the probability for each x value, divide each p(x) value by 194.

For example, the probability for x=0 is 7/194 ≈ 0.036. Similarly, the probability for x=1 is 14/194 ≈ 0.072, and so on.

The completed probability distribution table is as follows:
x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | p(x)| 0.036 | 0.072 | 0.165 | 0.289 | 0.222 | 0.140 | 0.082.

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So, the probability that a customer buys either pet supplies or baby supplies is 0.77.

The probability that a customer buys either pet supplies or baby supplies is represented by P(A U B).

Using the formula for the probability of the union of two events: P(A U B) = P(A) + P(B) - P(A ∩ B),

We can substitute in the given probabilities: P(A U B) = 0.64 + 0.25 - 0.12

Therefore, the equation that represents the probability that a customer buys either pet supplies or baby supplies is:

P(A U B) = 0.64 + 0.25 - 0.12 = 0.77

This means that the probability that a customer buys either pet supplies or baby supplies is 0.77.

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Answer:

Not the solution tp the system because the ordered pair should be true for both equations. However the last equation is not true.

Step-by-step explanation:

(-1,-2) is the solution of the system. x + y =-3 and 2x - y = -4*

x + y =-3 :

(-1)+ (-2) = -3

-1-2 =-2   -3=-3

2x - y = -4:

2(-1)-(-2)=-4

(-2) -(-2)= -4

0=-4

The volume of the composite shape is

Volume is a measure of three-dimensional space.

A composite shape can be defines as a shape created with two or more basic shapes. We often refer to composite shapes as compound and complex shapes as well.

The shape above shows two cuboid joined together.

volume of the base cuboid = lbh

= 6×3×1 = 18ft³

Volume of the second cuboid = lbh

= 4×3×8 = 96 ft³

volume of the composite shape = 18ft³ + 96ft³

= 114 ft³

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Answer: 53°

Step-by-step explanation:

3x - 4 + 3x + 6 + 4x - 12 = 180

10x - 10 = 180

Add 10 to both sides

10x = 190

Divide both sides by 10

x = 19

3x - 4

3 (19) - 4 = 57 - 4

= 53

3x + 6

3 (19) + 6 = 57 + 6

= 63

4x - 12

4 (19) - 12 = 76 - 12

= 64

The smallest angle is 53°

Answer:

63°

Step-by-step explanation:

The distribution of the data shown on the dot plot is Skewed.

We have to given that;

The data shown on the dot plot.

Now, We know that;

A graph is symmetric if the left and right side of the graph are mirror images of each other. A graph is skewed if it has more data on one side rather than the other.

Here, it has more data on one side rather than the other.

Hence, the distribution of the data shown on the dot plot is Skewed.

Thus, the distribution of the data shown on the dot plot is Skewed.

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The chi-square value for a one-tailed (upper tail) hypothesis test at a 5% level of significance and a sample size of n=25 is c. 36.415

What is chi-square?

Chi-square (χ²) is a statistical test that measures the relationship between categorical variables. It is used to determine if there is a significant association or independence between two variables based on observed frequencies compared to expected frequencies. The chi-square test is a statistical method used to determine if there is a significant association or independence between categorical variables based on observed and expected frequencies in a contingency table.

Degrees of freedom = n - 1

= 25 - 1

= 24

and alpha = 0.05

χ²⁽⁰°⁰⁵,²⁴⁾ =  36.415      …using chi-square table for right tail.

Therefore, the chi-square value for a one-tailed (upper tail) hypothesis test at a 5% level of significance and a sample size of n=25 is c. 36.415.

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Answer:

first option

Step-by-step explanation:

6y(4y + 1)

distribute the 6y:  6y(4y) + 1(6y)

                              24\(y^{2}\) + 6y

The equation of the parabola is y = -1/3 (\(x^2\)+4x).

What is parabola ?

  A bowl-shaped object forms a curve when the surface of the cone intersects a plane perpendicular to a straight line. Another curve is created when the moving point is moved such that the distance from the fixed point is equal to the distance from the fixed line. A parabola is a U-shaped curve representing the graph of a quadratic function. Graph of the equation y=x2,

Here the equation of the parabola is

=> y= a\(x^2\)+bx+c.

Now pt given points to find value of a, b, c .

=> y = a(x-p)(x-q)

=> y = a(x+2-2)(x+2+2)

=> y = a(x)(x+4)

Here the line passes through the point ,

(x,y) = (-1,1)

=> 1 = a(-1)(-1+4)

=> 1 = a (-3)

=> a = -1/3.

Now the equation is ,

y = a (x)(x+4)

=> y = -1/3 (\(x^2\)+4x)

Therefore the equation of the parabola is y = -1/3 (\(x^2\)+4x).

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Answer:

71°

Step-by-step explanation:

well you can tell based off the 2 sides that are 21 units each that this triangle is isosceles, that means the 2 base angles are the same.

so 2x°+38°=180°

so 2x°=142°

so x=71°

Answer:

24a³

Step-by-step explanation:

Simplify, then,  2.1  2³ divided by 2¹= 2 (³_¹)= 2²

( 3 . 4³ .2.   =24a³.

Simplification of an expression is making it as simple as possible. The simplified form of the considered expression is given by: Option D: \(72a^3\)

If we have \(a^b\) then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

\(a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}\\\\^n\sqrt{a} = a^{1/n}\\(ab)^c = a^c \times b^c\)

For the given case, the expression is simplified by using the given rules as:

\([3(2a)^{3/2}]^2 = 3^2 \times (2a)^{\dfrac{3}{2} \times 2} = 9 \times (2a)^3\\\)

\([3(2a)^{3/2}]^2 = 9 \times 8 \times a^3 = 72a^3\)

Thus, the simplified form of the considered expression is given by: Option D: \(72a^3\)

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Answer:

what

the numbers are all messed up

Answer:

Could you write the problem right? I don't get it tell me when it right and i can factor it.

Step-by-step explanation:

(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

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