what’s the answer? i

The probability of the sum of two integers is greater than the product is equal to 2 / 5.

Let 'A' be the set of positive integers less than or equal to 5.

A = { 1, 2, 3, 4, 5}

Sum of two numbers is greater than the product of the numbers.

1 × 1 = 1  and 1 + 1 = 2

1 × 2 = 2 and 1 + 2 = 3

1 × 3 = 3 and 1 + 3 = 4

1 × 4 = 4 and 1 + 4 = 5

1 × 5 = 5 and 1 + 5 = 6

2 × 1 = 2 and 2 + 1 = 3

3 × 1 = 3 and 3 + 1 = 4

4 × 1 = 4 and 4 + 1 = 5

5 × 1 = 5 and 5 + 1 = 6

2 × 2 = 4 and 2 + 2 = 4

Total possibilities = 5 × 5

                             = 25

Favourable outcomes = 10

Total number of outcomes = 25

Probability of sum of two numbers greater than the product

= 10 / 25

= 2 / 5

Therefore, the probability of the sum of two numbers is greater than the product is equal to 2/ 5.

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Answer:

A. 25 B. 45 C. 30

Step-by-step explanation:

A.

75 ÷ 3 = 25

25 × 1 = 25

B.

75 ÷ 5 = 15

15 × 3 = 45

C.

50 ÷ 5 = 10

10 × 3 = 30

Answer:

t1/2=1m => 30days

A0=500g =0.5kg

t=8m = 240days

A=?

λ=ln2÷t1/2

λ=0.6931÷30

λ=0.0231033333

A=A0×e^-λ×t

A=0.5×e^-0.0231033333×240

A=1.953125grams

Answer:

Perimeter

Step-by-step explanation:

perimeter is the sum of the whole sides of a figure

Answer:

30.84

Step-by-step explanation:

in order to find the perimeter you multiply 2 by pi (3.14) then multiply that answer by the radius which is 6. Then divide that answer by 2 since the shape is a semi circle then add the diameter (12) to that answer and you get 30.84.

2 * 3.14 * 6 / 2 + 12 = 30.84

Answer: x=8 ==> A

Step-by-step explanation:

15x-6=114     ==> both angles are congruent angles, so they're equal

15x-6+6=114+6

15x=114+6

15x=120

15x/15=120/15

x=120/15

x=8 ==> A

Answer:

[0, ∞)

Step-by-step explanation:

Looking at the graph we see that the vertex(here it is a maximum) is (0,0)

for all values of x ≤ 0, f(x) is increasing  

for all values of x ≥  0, f(x) is decreasing

So the interval where f(x) is decreasing is [0, ∞)

The function is decreasing on the interval

Interval notation is a way of describing continuous sets of real numbers by the numbers that are bound by them.

Since we have the function given in the graph and we want to write the interval in which it is decreasing in interval notation.

The interval in which the function is decreasing is the interval in which the gradient is negative.

The gradient of the graph is negative on the interval

We use the square brackets since the boundary values are included since they are shaded on the graph.

So, the function is decreasing on the interval

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After answering the provided question, we can conclude that Mason inequality believes the solutions are x 12. The graph shows a shaded region to the left of 12.

In mathematics, an inequality is a non-equal relationship between two expressions or values. As a result, imbalance leads to inequality. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal sign is commonly used (). Different inequalities, no matter how small or large, are used to contrast values. Many simple inequalities can be solved by modifying the two sides until only the variables remain. However, a number of factors contribute to inequality: Negative values are divided or added on both sides. Exchange left and right.

To solve the x517 inequality, first add 5 to both sides to get:

x - 5 + 5 ≤ 17 + 5

When we simplify, we get:

x ≤ 22

As a result, the correct solution to the inequality is x 22.

Now consider Mason's solution. He stated that the solutions are x 12 and graphed them as shown below.

  |

   |

   |

   |

   |

   |

----|------------

  -5|4  9   12

Mason believes the solutions are x 12. The graph shows a shaded region to the left of 12.

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It cannot be compared, so answer 3 :)

Answer:

Exact Form:

61/12

Decimal Form:

5.083 with 3 repeating

Mixed Number Form:

5   1/12

Step-by-Step Explanation:

-5/3×3/8 = -5/8

-5/8+3/8= -1/4

-1/4+6/9=5/12

5/12+14/3=61/12

The real zeros of f(x) are x = -2, x = 1/5, and x = 7/5.

The smallest real zero is x = -2, and the largest real zero is x = 7/5.

Given function is :\(f(x) = 10x3- 7x2 - 139x + 28\).

Now we have to Verify the given factors of the function f which is \((2x + 7), (5x - 1)\).

The Remainder Theorem states that when a polynomial f(x) is divided by a divisor x - c, the remainder is equal to f(c).

Now we will divide f(x) by 2x+7 using polynomial long division.

\(\[\begin{align}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x^2&-8x+4 \\2x+7|10x^3-7x^2-139x+28& \\ \ \ \ \ \ \ \ \ \ \ \ \ -\underline{(10x^3+35x^2)}& \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -42x^2-139x& \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{(\ \ 42x^2+147x\ )}& \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -8x+28& \end{align}\]\)

Now the remaining factor of f(x) is (2x + 7) (5x - 1) (2x - 2), which is further simplified to f(x) = 10(x + 2)(5x - 1)(x - 7/5).

Hence the factorization of the given function is f(x) = 10(x + 2)(5x - 1)(x - 7/5).

The real zeros of f(x) can be found by setting f(x) = 0.

\(\[\begin{align}f(x)&=0 \\10(x+2)(5x-1)(x-\frac{7}{5})&=0 \\x+2&=0\ \ \ \ \ \ \ \ \ \ \ 5x-1=0\ \ \ \ \ \ \ \ \ \ \ x-\frac{7}{5}=0\\x&=-2\ \ \ \ \ \ \ \ \ \ \ x=\frac{1}{5}\ \ \ \ \ \ \ \ \ \ \ x=\frac{7}{5}\end{align}\]\)

Thus, the real zeros of f(x) are x = -2, x = 1/5, and x = 7/5.

The smallest real zero is x = -2, and the largest real zero is x = 7/5.

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Answer:

3w²+2w

Step-by-step explanation:

(9w² +3w)-(6w²+w)

=9w²+3w-6w²-w

collecting like terms

=9w²-6w²+3w-w

=3w²+2w

=w(2+3w)

what are the answers, you didn't put a following

Answer:

How many hours do you spend at the pharmacy each month?

Step-by-step explanation:

GOt it right on test

Answer:

Option 1 and Option 5

Step-by-step explanation:

Option 1uses distributive property and simplifies.

Option 5 uses distributive property but does not simplify. Still equivalent.

Answer:

The top and the bottom one

Step-by-step explanation:

Answer:

36

I looked it up on

Answer:

Step-by-step explanation:

Use the formulas supplied in the picture attached. There's nothing to really learn here, it is just a plug-and-chug formula:

\(sin(3x)sin(2x)=\frac{1}{2} [cos(3x-2x)-cos(3x+2x)]\)

\(sin(3x)sin(2x)=\frac{1}{2} [cos(x)-cos(5x)]\)

Moving on to the second problem:

\(cos(a)sin(b)=\frac{1}{2}[ sin(a+b)-sin(a-b)]\)

Therefore:

\(2cos(a)sin(b)=sin(a+b)-sin(a-b)\)

Where:

\(a+b=5x\)

\(a-b=3x\)

Solve for 'a' using the second equation to get:

\(a=3x+b\)

Plug this into the first equation to get:

\(3x+b+b=5x\)

\(3x+2b=5x\)

\(2b=2x\)

\(b=x\)

Therefore:

\(a+x=5x\)

\(a=4x\)

Finally:

\(sin(a+b)-sin(a-b)=2cos(4x)sin(x)\)

The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

-2.1

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

X intercept (-40,0)

Y intercept: (0, 15)

Step-by-step explanation:

Where the line meets on the x axis, the coordinate is -40, 0 which is the x intercept and as it is for the y intercept, it meets at 0,15

Answers:

==================================================

Work Shown:

$4.05 = 405 cents

d = number of dimes

q = number of quarters

q = d+5 since she has 5 more quarters compared to dimes

10d = value in cents of all the dimes

25q = value in cents of all the quarters

10d+25q = total value in cents = 405

10d+25q = 405

10d+25(d+5) = 405

10d+25d+125 = 405

35d+125 = 405

35d = 405-125

35d = 280

d = 280/35

d = 8

She has 8 dimes

q = d+5 = 8+5 = 13

She also has 13 quarters

-------------------------

1 dime = 10 cents

8 dimes = 80 cents (multiply both sides by 80)

1 quarter = 25 cents

13 quarters = 325 cents (multiply both sides by 13)

8 dimes + 13 quarters = 80 cents + 325 cents = 405 cents

This converts back to $4.05, which confirms our answers.

Answer:

She will need 2 cans of paint

Step-by-step explanation:

Each wall is 9m2 and needs 2 coats, with 2 walls there is a total of 36m2 of wall to paint. That is greater than 32.5m2 but not greater than 65m2 so she needs 2 cans.

The linearization of the function f(x, y) = -5x^2 - 2y^2 - 3 at the point (-10, 6) is L(x, y) = -207 - 100x + 24y.

The linearization of a function at a given point is an approximation of the function using a linear equation. To find the linearization of the function f(x, y) = -5x^2 - 2y^2 - 3 at the point (-10, 6), we need to determine the values of the linear terms.

First, we calculate the partial derivatives of f(x, y) with respect to x and y:

∂f/∂x = -10x

∂f/∂y = -4y

Next, we evaluate the partial derivatives at the point (-10, 6):

∂f/∂x = -10(-10) = 100

∂f/∂y = -4(6) = -24

The linearization L(x, y) can be expressed as:

L(x, y) = f(-10, 6) + ∂f/∂x * (x - (-10)) + ∂f/∂y * (y - 6)

Substituting the values we obtained:

L(x, y) = -5(-10)^2 - 2(6)^2 - 3 + 100(x + 10) - 24(y - 6)

Simplifying the equation:

L(x, y) = -207 - 100x + 24y

Therefore, the linearization of the function f(x, y) = -5x^2 - 2y^2 - 3 at the point (-10, 6) is L(x, y) = -207 - 100x + 24y.

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Answer:

Step-by-step explanation:

gh dsug

We can estimate the intensity of the sound to be:

I = 6.31 × 10⁻⁴ W/m²

To determine the intensity of a 118 dB sound, we need to use the decibel scale and the reference level intensity given. The formula to convert from decibels (dB) to intensity (I) is as follows:

\(I = I₀ * 10^{L/10}\)

Where the variables are:

In this case, the reference level intensity is given as I₀ = 1.0×10⁻¹² W/m², and the sound level is L = 118 dB.

Substituting the values into the formula, we can calculate the intensity:

I = (1.0×10⁻¹² W/m²) * 10^(118/10)

Simplifying the exponent:

I = (1.0×10⁻¹² W/m²) * 10^(11.8)

Evaluating the expression:

I ≈ 6.31 × 10⁻⁴ W/m²

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Substitution is the replacing the variables in an algebraic expression with their numerical values. It involves substituting the value of any one of the variables.

How to determine this

When an adult ticket costs  £7.50

A child ticket costs  £3.50.

Let x represent the number of adult tickets

And let y represent the number of child tickets

When Brooke sold tickets for her show

i.e x + y = 100 ----  (1)

From the equation, by making y the subject of the formula

y = 100 - x ----  (2)

7.50x + 3.50y = 590  ---- (3)

By substituting equation 2 into 3

7.50x + 3.50(100 - x) = 590

Open bracket

7.50x + 350 - 3.50x = 590

Collect like terms

7.50x - 3.50x = 590 - 350

4x = 240

Divides through by 4

4x/4 = 240/4

x = 240/4

x = 60

When y = 100 - x

x = 60

So, y = 100 - 60

y = 40

Therefore, the amount she sold for adult tickets to child tickets is 60 tickets to 40 tickets respectively

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Answer:

17.5

Step-by-step explanation:

35℅ of 100 is 35 so 200 would be half that

Answer:

Hey!

Your answer is 17.5%!

Step-by-step explanation:

Can be written as...35/200

Now...

MULTIPLY THE NUMERATOR AND DENOMINATOR BY 100...

35/200 × 100/100

35×100/200 × 1/100

SOLVED!!!

▶ HOPE IT HELPED ◀

Superman's average rate is  50 meters per second. Every 12 second superman flies 600 meters. Superman is 900 meters from Lois.

To find Superman's average rate, we need to find the change in distance divided by the change in time:

Average rate = (change in distance) / (change in time)

From 6 seconds to 9 seconds, Superman travels a distance of 1800 - 1650 = 150 meters. So the change in distance is 150 meters, and the change in time is 9 - 6 = 3 seconds.

Average rate = (150 meters) / (3 seconds) = 50 meters per second

To find how far Superman flies in 12 seconds, we can use the average rate:

Distance = (average rate) x (time)

Distance = (50 meters per second) x (12 seconds) = 600 meters

To find how close Superman is to Lois after 21 seconds, we need to use the same formula again, using the new distance and time values:

Distance = (average rate) x (time)

From 6 seconds to 21 seconds, Superman travels a distance of 1800 - x, where x is the distance he is from Lois after 21 seconds. So the change in distance is (1800 - x) - 1800 = -x, and the change in time is 21 - 6 = 15 seconds.

Average rate = (-x meters) / (15 seconds) = -x/15 meters per second

We don't know the value of x yet, but we can use the average rate and the formula for distance to set up an equation:

x = (average rate) x (time) + initial distance

x = (-x/15 meters per second) x (15 seconds) + 1800 meters

Simplifying this equation gives:

x = 1800 / 2 = 900 meters

So after 21 seconds, Superman is 900 meters from Lois.

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The area of the given triangle is 87.55 square centimeter.

From the given triangle, base=17 cm and height=10.3 cm.

The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Here, area of a triangle = 1/2 ×17×10.3

= 87.55 square centimeter

Therefore, area of the given triangle is 87.55 square centimeter.

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Answer:

(6-5)/4= 1÷4=0.25

Step-by-step explanation: