The probability of NOT drawing a red marble out of a bag containing 3 blue, 2 green , 8 yellow , 4 red , and 3 orange marbles.

Answer:

B.     Ray

Step-by-step explanation:

When they ask what does AB represent because they put the A first this means that the line is going from A to B and because there is an arrow and the end of B this means its a ray.

A ray is a half-infinite line. AB represents a ray.

A ray is a half-infinite line (sometimes called a half-line) in which one of the two points A and B is assumed to be at infinity.

As we can see that AB has a point on one side while the other side of the line has an arrow, therefore, AB represents a ray.

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Answer:

p = 0.2

Step-by-step explanation:

Step 1:  Distribute

29.91 - 1.35p = -5.7(-6p - 4)

29.91 - 1.35p = 34.2p + 22.8

Step 2:  Add 1.35p to both sides

29.91 - 1.35p + 1.35p = 34.2p + 22.8 + 1.35p

29.91 = 35.55p + 22.8

Step 3:  Subtract 22.8 from both sides

29.91 - 22.8 = 35.55p + 22.8 - 22.8

7.11 = 35.55p

Step 4:  Divide both sides by 35.55

7.11 / 35.55 = 35.55p / 35.55

0.2 = p

Answer:  p = 0.2

Answer

a)

[tex]{(2b - 5)}^{2} - 36 =( 2b - 11)(2b + 1)[/tex]

b)

[tex]9 - {(7 + 3a)}^{2} = (3a - 4)(3a + 11)[/tex]

c)

[tex]( {4 - 11m)}^{2} - 1 =( 3 - 11m )( 5 - 11m )[/tex]

Explanation

a) The given expresion is

[tex] {(2b - 5)}^{2} - 36[/tex]

We rewrite as difference of two squares

[tex]{(2b - 5)}^{2} - 36 = {(2b - 5)}^{2} - {6}^{2} [/tex]

Recall that:

[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

This implies that:

[tex]{(2b - 5)}^{2} - 36 =( {(2b - 5)} -6)(2b - 5 )+ 6)[/tex]

Or

[tex]{(2b - 5)}^{2} - 36 =( 2b - 5-6)(2b - 5 + 6)[/tex]

This simplifies to give:

[tex]{(2b - 5)}^{2} - 36 =( 2b - 11)(2b + 1)[/tex]

b) The second expression is

[tex]9 - {(7 + 3a)}^{2} [/tex]

We rewrite as perfect squares yo get:

[tex]9 - {(7 + 3a)}^{2} = {3}^{2} - {(7 + 3a)}^{2} [/tex]

This gives:

[tex]9 - {(7 + 3a)}^{2} = ({3} - {(7 + 3a)})({3} + {(7 + 3a)})[/tex]

This implies that

[tex]9 - {(7 + 3a)}^{2} = ({3} - 7 + 3a)({3} + 7 + 3a)[/tex]

We simplify to get:

[tex]9 - {(7 + 3a)}^{2} = (3a - 4)(3a + 11)[/tex]

c) The third expression is:

[tex]( {4 - 11m)}^{2} - 1[/tex]

We obtain the difference of two squares as:

[tex]( {4 - 11m)}^{2} - 1 =( ( {4 - 11m)} - 1 )( ( {4 - 11m)} + 1 )[/tex]

We simplify within the parenthesis to get:

[tex]( {4 - 11m)}^{2} - 1 =( 4 - 11m - 1 )( 4 - 11m+ 1 )[/tex]

We simplify further to get;

[tex]( {4 - 11m)}^{2} - 1 =( 3 - 11m )( 5 - 11m )[/tex]

Yes.

8 4/5 = 8 8/10 = 8.8

8.8 is greater than 8.08

Answer:

yes

Step-by-step explanation:

4/5 as a fraction is 8/10 and 8/10 as a decimal is 0.8 and 0.8 is greater than 0.08

The given series is a geometric series. The sum of this series can be calculated using the formula for the sum of a geometric series, Sn = a(Rn-1)/(R-1). By substituting the given values into the formula, the sum of the series is found to be 242.

The series given is a geometric series. A geometric series is a series of numbers where each term after the first is found by multiplying the previous term by a constant.

The series is 2+6+18+54+162, where each successive term is 3 times the previous term. Hence, the common ratio (R) is 3.

The sum of the first 'n' terms (Sn) of a geometric series can be found using the formula: Sn = a(Rn-1)/(R-1), where a is the first term, R is the common ratio and n is the number of terms.

Here, 'a' = 2 and 'R' = 3. The total number of terms (n) is 5 in this case. Substituting these values into the formula gives: S5=2(35-1)/(3-1)= 2*(243-1)/2= 242

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Answer:

Rs 927.

Step-by-step explanation:

For simple interest we have:

I = PRT/100    where I = interest, P = amount invested, R = the rate and T = the time.

900 = P*6* 2 / 100

P = 900*100/ 12

P = Rs 7500

The formula for the amount  after t years when investing P amount at a rate of r%  is:

A = P(1 + r/100)^t  

A = 7500(1 + 6/100)^2

= Rs 8427.

So the compound interest is 8427 - 7500

= Rs 927.

Final answer:

The derivative of the sum of functions f and g at x = 3 is calculated by adding the derivatives of f and g at 3. Given that f'(3) = 4 and g'(3) = 0, the derivative (f + g)'(3) equals 4.

Explanation:

The student is asking about the derivative of a sum of two functions at a specific point, which is a concept covered in calculus. From the given information, we know that:

To find (f + g)'(3), we apply the rule for the derivative of a sum of functions, which states that:

(f + g)'(x) = f'(x) + g'(x)

Therefore, (f + g)'(3) is:

(f + g)'(3) = f'(3) + g'(3)

(f + g)'(3) = 4 + 0

(f + g)'(3) = 4.

Thus, the derivative of the sum of functions f and g at x = 3 is 4.

Answer:

48

Step-by-step explanation:

[tex] \frac{10}{25} [/tex]

athletes are female. Now, we need to find what

[tex] \frac{x}{120} [/tex]

athletes are female.

10 ÷ 25 = 0.4

0.4 × 100 = 40 so

[tex] \frac{10}{25} = 40\%[/tex]

40% is the experimental probability for the number of female athletes in the sample. 40% of 120 should be about the number of female athletes in the whole school.

120 × 0.4 (or 40%) = 48.

You can infer that 48 athletes in the school are female.

Answer:

Step-by-step explanation:48

Answer:

3

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

-1(n2 + 3) if n = -3.

from the question

-1(n2 + 3)

we are then asked to find n if its equals to -3

solution

-1(n2 + 3) .................. we are going to open the bracket with-1 according to BODMAS rule

we have,

-n²-3

when the value of n = -3

we have,

= (-3)² - 3

= 9 - 3

= 3

therefore  when n = -3 in the expression -1(n2 + 3)  the value of n = 3

to check if your answer is correct you will put the value of n which is 3 into the -1(n2 + 3)  then you will see that the right handside = lefthandside

which is

3=3...........proved.

Answer:

3 = x, 2 = y

Step-by-step explanation:

Opposite sides in a parallelogram are always congruent, so 2y+3=y+5 and 4y+1=4x-3

The first equation, when solved, shows that y = 2

When you plug that into the second equation, you get 4(2) + 1 = 4x - 3

This means that 12 = 4x, so 3 = x

Answer:

6x-3=3x+12

    +3 .    +3

6x=3x+15

-3x=-3x  

3x=15

X=5

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

6x - 3 = 3x + 12

Combine like terms

6x - 3x = 3 + 12

3x = 15

Divide both sides by 3

3x/3 = 15/3

x = 5

We know that the volume of a prism is defined by:

[tex]V=lwh \\ \\ \\ Where: \\ \\ l:length \\ \\ w:width \\ \\ h:height \\ \\ \\ l=\frac{d-2}{3d-9} \\ \\ w=\frac{4}{d-4} \\ \\ h=\frac{2d-6}{2d-4}[/tex]

Substituting values:

[tex]V=\left(\frac{d-2}{3d-9}\right)\left(\frac{4}{d-4}\right)\left(\frac{2d-6}{2d-4}\right) \\ \\ \\ Simplifying: \\ \\ V=\frac{d-2}{3d-9}\cdot \frac{4}{d-4}\cdot \frac{d-3}{d-2} \\ \\ V=\frac{\left(d-2\right)\cdot \:4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)\left(d-2\right)} \\ \\ V=\frac{4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)} \\ \\ V=\frac{4\left(d-3\right)}{3\left(d-3\right)\left(d-4\right)}[/tex]

[tex]Finally: \\ \\ \boxed{V=\frac{4}{3\left(d-4\right)}}[/tex]

The volume of the given prism in simplified form is [tex]V = \frac{4}{3(d - 4)}[/tex].

To find the volume of the prism, we use the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

Given the dimensions of the prism:

l = \frac{d - 2}{3d - 9}

[tex]l = \frac{d - 2}{3d - 9}\\\\w = \frac{4}{d - 4}\\\\h = \frac{2d - 6}{2d - 4}[/tex]

We substitute these into the formula:

[tex]V = \left(\frac{d - 2}{3d - 9}\right) \left(\frac{4}{d - 4}\right) \left(\frac{2d - 6}{2d - 4}\right)[/tex]

Now we simplify this expression step-by-step:

Simplify the height term:

[tex]\frac{2d - 6}{2d - 4} = \frac{2(d - 3)}{2(d - 2)} = \frac{d - 3}{d - 2}[/tex]

Substitute the simplified height term:

[tex]V = \left(\frac{d - 2}{3(d - 3)}\right) \left(\frac{4}{d - 4}\right) \left(\frac{d - 3}{d - 2}\right)[/tex]

Combine and cancel common terms:

[tex]V = \frac{4}{3(d - 4)}[/tex]

This gives us the volume of the prism in its simplest form.

Complete question:

Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown.

The height is (2 d - 6) / (2 d - 4).

The width is 4 / (d - 4 ).

The length is StartFraction (d - 2) / (3 d - 9 ).

Answer:

The ordered pairs (-1, -4) an (-1, 2) have the same first coordinate i.e. -1 is occurring twice. Therefore, the given relation is not a function.

Step-by-step explanation:

Considering the relation

{(3, −2), (1, 2), (−1, −4), (−1, 2)}

No! the following relation is not a function.

Here is the reason:

Check the table

x                  y                occurrence of x

3                 -2                          1                        

1                   2                          1

-1                 -4                          1

-1                  2                          2

From the above table, it is clear that the value of input x is occurring more than once (twice here), so the set of ordered pairs is not a function.

Because a set of ordered pairs will be a function only if the ordered pairs do not have the same first coordinate with different second coordinates.

But the ordered pairs (-1, -4) an (-1, 2) have the same first coordinate i.e. -1 is occurring twice. Therefore, the given relation is not a function.                          

Answer:

no i have this on flvs who else does

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation:

-5 -x = -8

-× = -8 + 5

-x = -3

x = 3

The required value of a + b = -14.

The quadratic equation is defined as a function containing the highest power of a variable is two.

The standard quadratic function is given by as f(x) = ax² + b x + c.

The roots of the quadratic equation z² + az + b = 0 are -7 + 2i and -7 - 2i,

As we know that the sum of roots is -b/a for the standard quadratic function.

So the sum of these roots, -7 + 2i + (-7 - 2i) = -14, is equal to -a/2.

Hence, a = -28, and the sum of the coefficients, a + b = -28 + b = -14.

So, a + b = -14.

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Final answer:

The sum of the coefficients a and b from the quadratic equation with roots -7 + 2i and -7 - 2i is 67.

Explanation:

The roots of the quadratic equation z2 + az + b = 0 given are -7 + 2i and -7 - 2i. These roots are complex conjugates of each other. According to the properties of quadratics, the sum of the roots (given by -a) is equal to -7 + 2i + (-7 - 2i), which simplifies to -14. Therefore, the coefficient a is 14. To find b, we use the fact that the product of the roots is b. Thus, b equals (-7 + 2i) x (-7 - 2i), which expands to 49 + 4, giving us b = 53. The question asks us for the sum of a and b, which is 14 + 53 = 67.

Answer: 3

Step-by-step explanation: Plug in x = -7

About 151. That seems pretty close. If it is incorrect, sorry.

Answer:

9 years

Step-by-step explanation:

Its right

Using the exponential growth formula, it will take approximately 8 years for a population of 20,000 growing at 2.5% per year to reach 24,700.

To determine how long it will take for a town with a population of 20,000 to grow to 24,700 with an annual growth rate of 2.5%, we can use the formula for exponential growth: P = P0ert, where P is the future population, P0 is the initial population, r is the growth rate, and t is time in years.

First, we convert the growth rate to a decimal, so 2.5% becomes 0.025. Our equation will look like this: 24,700 = 20,000e(0.025t). Taking the natural logarithm of both sides gives us ln(24,700/20,000) = 0.025t.

We can use a calculator to find that ln(24,700/20,000) ≈ 0.2112, and so 0.2112 = 0.025t. Dividing both sides by 0.025 gives us t ≈ 8.448. We round this to the nearest whole number to find that it will take approximately 8 years for the population to reach 24,700.

Answer:

11/12

Step-by-step explanation:

Simple addition.

1/4 + 2/3

=

3/12 + 8/12 =

11/12

Answer:

11/12

Step-by-step explanation:

All you have to do is simply add 1/4 and 2/3 leaving you with

3/12 + 8/12  then add them to get the answer 11/12

Hopefully this helps.

Btw Can i get my heart?

Answer: answer is 1

Step-by-step explanation:

Slope(m) of the line = change in y/change in x

y2 - y1/x2 - x1

Locate the coordinates points: (-2, -8) and (-3, -9) ?

X1= -2, X2=-3

Y1= -8, y2= -9

Slot in the values into the equation:

m = -9 - (-8)/-3 - (-2)

-9 + 8/ -3 +2

= -1/ -1

=1

I hope this helps.

Answer:C

Step-by-step explanation:

The best deal can be calculated by dividing the cost of the nail by the total amount of nails present in the pack.

A = $6.50/75 = $0.076

B = $15.50/200 = $0.0775

C = $36.00/500 = $0.072

D = $72.00/1000 = $0.078

From the above, the best deal is C (500 nails for $36.00) and the worst deal is D (1000 nails for $72.00).

Answer:

It´s A not C

Step-by-step explanation:

Answer:

y = 2x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 7, - 3) and (x₂, y₂ ) = (- 3, 5)

m = [tex]\frac{5+3}{-3+7}[/tex] = [tex]\frac{8}{4}[/tex] = 2, thus

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (- 3, 5 ), then

5 = - 6 + c ⇒ c = 5 + 6 = 11

y = 2x + 11 ← equation of line

To write an equation of a line that passes through two points, use the slope-intercept form. Find the slope using the formula and substitute the values into the equation.

To write an equation of a line that passes through two points, we can use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Given the points (-7, -3) and (-3, 5), we can find the slope by using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the values, we get m = (5 - (-3)) / (-3 - (-7)) = 8 / 4 = 2.

Now that we have the slope, we can choose either point and substitute the values into the equation. Let's use the first point (-7, -3): -3 = 2(-7) + b. Solving for b, we get b = -3 - 2(-7) = -3 + 14 = 11.

Therefore, the equation of the line that passes through the points (-7, -3) and (-3, 5) is y = 2x + 11.

Answer:

4[tex]\sqrt{13}[/tex] or 4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Pythagorean theorem:

your solution will differ based on which side is the hypotenuse

x = [tex]\sqrt{12^{2} -8^{2} }[/tex] =4[tex]\sqrt{5}[/tex]

or x = [tex]\sqrt{8^{2}+12^{2} }[/tex] = 4[tex]\sqrt{13}[/tex]

Solution:

Given that,

Dan, Angad & David share some money in the ratio 1 : 1 : 3

Let the share of Dan be 1x

Let the share of Angad be 1x

Let the share of David be 3x

In total, Dan and David receive £52

Therefore,

1x + 3x = 52

4x = 52

x = 13

Therefore,

share of angad = 1x = 13

Thus share of Angad is £ 13

The solution to the system of equations y = -4x and y = 2x + 12 is found by setting the two equations equal to each other, solving for x, and then finding y. The ordered pair solution is (-2, 8).

To find the ordered pair solution to the system of equations y = -4x and y = 2x + 12, we need to set the two equations equal to each other since they both describe y in terms of x. This gives us:

-4x = 2x + 12

Now, we will solve for x by combining like terms:

-4x - 2x = 12

-6x = 12

To get x by itself, divide both sides by -6:

x = -2

Next, we substitute x = -2 back into one of the original equations to find y. For example:

y = 2(-2) + 12

y = -4 + 12

y = 8

Therefore, the solution to the system of equations is the ordered pair (-2, 8).

Answer:

Step-by-step explanation:

6:10 ratio

6x8=48 10x8=80

Answer:

424 yards²

Step-by-step explanation:

Diameter 22, radius 11

Outer circle: radius = 11+5 = 16

Area of the path:

Pi× (16²-11²)

= 135pi yards²

Or, 424 yards² (3 sf)

Answer:

135pi

Step-by-step explanation:

(I'm guessing you want to know the ring's area)

Diameter = 22 yards, meaning Radius = 11 yards

[tex](11+5)^{2}\pi[/tex] = 256pi = Outer Ring + Pool

[tex](11)^{2}\pi[/tex] = 121pi = Pool

Outer Ring = 256pi - 121pi = 135pi

Answer:

To distribute 4 ones into 5 groups, you have a few options. Here are three possible ways to distribute the 4 ones evenly among the 5 groups:

Option 1:

- Give each group 1 one: 1 1 1 1 0

Option 2:

- Give three groups 1 one, and leave two groups with 0 ones: 1 1 1 0 0

Option 3:

- Give one group 2 ones, and the other four groups 1 one each: 2 1 1 1 1

These are just a few examples, and there may be other ways to distribute the 4 ones into 5 groups. The important thing is to ensure that each group receives the same number of ones, if possible, or as close to equal as possible.

Answer:

12 ounces

Step-by-step explanation:

3

Final answer:

To find out how many ounces Juanita has from 3 1/4 pounds of sugar, we convert the 1/4 pound into ounces and add it to the full pounds after converting them into ounces. The calculation shows that she has 52 ounces of sugar in total.

Explanation:

To answer how many ounces of sugar Juanita has from 3 1/4 pounds, we must first understand the relationship between pounds and ounces. There are 16 ounces in 1 pound. Since Juanita has 3 1/4 pounds, we will first convert the 1/4 pound to ounces and then add that to 3 times 16 ounces.

Here's the calculation step by step:

Convert 1/4 pound to ounces: 1/4 pound = 0.25 × 16 ounces = 4 ounces.

Multiply the whole number of pounds (3) by 16 to get ounces: 3 × 16 = 48 ounces.

Add the ounces from the fractional pound to the ounces from the whole pounds: 48 ounces + 4 ounces = 52 ounces.

Hence, Juanita has 52 ounces of sugar.