In a chess club the probability that Shaun will beat Mike is 3/8 .
The probability that Shaun will beat Tim is 5/7 .
(Assume all the games are independent of one another)
If Shaun plays 1 game with Mike and then 1 game with Tim, what is the probability that Shaun loses both games?

The ladder touches the building at 4.53 meters right angle triangle vertical distance from the ground.

The triangle that has one 90 degrees angle is called right-angled triangle. The Pythagorean theorem is applicable for right-angled triangle.

What is the height of the point where the ladder touches the building A ladder leans up against a building at an angle of 65 degrees with the ground. the length of ladder = 5 meters

we understand that the ladder, building and ground together formed a right-angled triangle. The right angle is in between the building and ground. The length of ladder acts as a hypotenuse of this triangle. If we consider the angle 65 degrees,

then sin 65° = opposite side length / hypotenuse here, opposite side length = the required length we need to determine sin 65° × hypotenuse = opposite side opposite side = 0.9063 × 5 =4.53 meters

the ladder touches the build at 4.53 meters vertical distance from the ground.

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The measure of m∠1 = 85 degrees and m∠2 = 15 degrees.

The correct answer is option D: ∠1 = 85°, m∠2 = 15°.

What is the right triangle?

A right-angle triangle is a triangle that has one of its angles 90 degrees. The sum of angles in a right triangle is 180 degrees.

To find the measures of angles 1 and 2, we can use the fact that the sum of the angles in a triangle is 180 degrees.

We know that angles 1, 2, and 3 form a triangle, so we can write:

m∠1 + m∠2 + m∠3 = 180

Substituting the given values, we get:

m∠1 + m∠2 + 80 = 180

Simplifying, we get:

m∠1 + m∠2 = 100

We also know that angles 2, 3, and 4 form a triangle, so we can write:

m∠2 + m∠3 + m∠4 = 180

Substituting the given values, we get:

m∠2 + 80 + 85 = 180

Simplifying, we get:

m∠2 = 15

Substituting this value in the first equation, we get:

m∠1 + 15 = 100

Simplifying, we get:

m∠1 = 85

Therefore, the measure of m∠1 = 85 degrees and m∠2 = 15 degrees.

The correct answer is option D: ∠1 = 85°, m∠2 = 15°.

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Answer:

Step-by-step explanation:

The measure of m∠1 = 85 degrees and m∠2 = 15 degrees.

The correct answer is option D: ∠1 = 85°, m∠2 = 15°.

What is the right triangle?

A right-angle triangle is a triangle that has one of its angles 90 degrees. The sum of angles in a right triangle is 180 degrees.

To find the measures of angles 1 and 2, we can use the fact that the sum of the angles in a triangle is 180 degrees.

We know that angles 1, 2, and 3 form a triangle, so we can write:

m∠1 + m∠2 + m∠3 = 180

Substituting the given values, we get:

m∠1 + m∠2 + 80 = 180

Simplifying, we get:

m∠1 + m∠2 = 100

We also know that angles 2, 3, and 4 form a triangle, so we can write:

m∠2 + m∠3 + m∠4 = 180

Substituting the given values, we get:

m∠2 + 80 + 85 = 180

Simplifying, we get:

m∠2 = 15

Substituting this value in the first equation, we get:

m∠1 + 15 = 100

Simplifying, we get:

m∠1 = 85

Therefore, the measure of m∠1 = 85 degrees and m∠2 = 15 degrees.

The correct answer is option D: ∠1 = 85°, m∠2 = 15°.

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Answer:

56 hope this helped you.

Answer:

Father age is 40 and Son age is 16

Step-by-step explanation:

Let Father be x and Son be y.

If their ratio of their age is 5:2 then

Find Y:

2x = 5y

Find X

Answer:

3/20

Step-by-step explanation:

To do this multiply the numerators (the top numbers) together first.

3 * 1 = 3

This is the numerator (the top number) of the answer fraction.

Next we take the bottom numbers:

5 * 4 = 20

We have 3/20 as our fraction. We know 3 is a prime number and can only be divided by 1 or 3. 20 cannot be divided by 1 or 3 so this fraction cannot be simplified any more.

Answer:

Step-by-step explanation: We will determine if ratios are proportional using cross multiplication.

first, we will check option (a)

12/15 =5/4

12*4 = 15*5

48 is not equal to 75. So, these are not proportional.

now, we will check option (b)

15/12 = 5/4

15*4 = 12*5

60 = 60.

as the left-hand side is equal to the right-hand side.

So, option (b) is correct.

Answer:

[tex]\textsf{B)} \quad \dfrac{15}{12}\; \textsf{and}\;\dfrac{5}{4}[/tex]

Step-by-step explanation:

If two fractions are equal, they form a proportion.

Therefore, to determine if two ratios form a proportion, rewrite the fractions so that their denominators are the same, then compare.

[tex]\textsf{A)}\quad \dfrac{12}{15}\; \textsf{and}\;\dfrac{5}{4} \implies \dfrac{12 \times 4}{15\times 4}\; \textsf{and}\;\dfrac{5\times 15}{4\times 15}\implies \dfrac{48}{60}\; \textsf{and}\;\dfrac{75}{60}[/tex]

As the two fractions are not equal, they do not form a proportion.

[tex]\textsf{B)} \quad \dfrac{15}{12}\; \textsf{and}\;\dfrac{5}{4}\implies \dfrac{15}{12}\; \textsf{and}\;\dfrac{5 \times 3}{4 \times 3}\implies \dfrac{15}{12}\; \textsf{and}\;\dfrac{15}{12}[/tex]

As the two fractions are equal, they form a proportion.

[tex]\textsf{C)} \quad \dfrac{6}{5}\; \textsf{and}\;\dfrac{4}{5}[/tex]

The denominators of these two fractions are already the same.

Therefore, as the two fractions are not equal, they do not form a proportion.

[tex]\textsf{D)} \quad \dfrac{5}{6} \; \textsf{and}\;\dfrac{4}{5}\implies \dfrac{5\times 5}{6\times 5} \; \textsf{and}\; \dfrac{4\times 6}{5\times 6}\implies \dfrac{25}{30}\; \textsf{and}\;\dfrac{24}{30}[/tex]

As the two fractions are not equal, they do not form a proportion.

While two milkshakes are cheaper by $0.15 than a cheeseburger, a cheeseburger costs $1.55 and costs $.85.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. The three main types of linear equations are the slope-intercept form, standard form, and point-slope form. A straightforward equation shows the connection between two terms on either side of an equal sign. Additionally, simple equations incorporate one or more of the addition, subtraction, multiplication, and division arithmetic operations.

given

Let a = the cost in cents of a cheeseburger

Let b = the cost in cents of a shake

4a+2b=7 .90

2b=a+15

-a+2b=15

Subtract (2) from (1)

4a+2b=7 .90

a-2b=-15

5a=775

a=155

2b=a+15

b=170/2

b=85

While two milkshakes are cheaper by $0.15 than a cheeseburger, a cheeseburger costs $1.55 and costs $.85.

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Step-by-step explanation:

1 + 1 = 2

hope I helped! :))

On solving the provided question we can say that - the domain of the function f(x) = [tex]sinx(e^{-x})[/tex] will be  = ( [tex]\frac{-\pi }{2} , \frac{\pi }{4}[/tex] )

The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.

so, we have

f(x) = [tex]sinx(e^{-x})[/tex]  

the domain = ( [tex]\frac{-\pi }{2} , \frac{\pi }{4}[/tex] )

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The amount of the proposed increase is, Rs 1071.4

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The annual gym subscription for a single member is Rs.1000,

And, An annual family membership is Rs.1500.

Here, A single membership increased cost 5/7 of a family membership.

Hence, The increased cost = 5/7 of 1500

                                          = 1071.4 Rupees

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Answer:

7

Step-by-step explanation:

woop

Answer:

Step-by-step explanation:

To find the number Katherine should multiply the prices on the tags by to find the price she would have to pay before tax, we need to calculate the inverse of the discount percentage, which is 1 - (discount percentage / 100).

Given that the discount is 3% and we want to find the price after the discount, that means:

1 - (3/100) = 1 - 0.03 = 0.97

So, the number Katherine should multiply the prices on the tags by to find the price she would have to pay, before tax, in one step, is 0.97. Multiplying the price of an item by 0.97 is equivalent to subtracting 3% from the original price, which is the same as finding the final price after the discount.

For example, if an item is priced at $10, Katherine can multiply this by 0.97 to find that the final price she would have to pay before tax is $9.7

10*0.97 = 9.7

Answer:

e

Step-by-step explanation:

In order to calculate how many postcards he sold, multiply €0.30 by (45.9 + 42) to get €97.20.

Multiplication, division, addition, and subtraction are all possible in mathematics. Expression, number, and mathematical operator are the components of a mathematical expression (such as addition, subtraction, multiplication, or division, etc.). Expressions and phrases can be contrasted. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For instance, the phrase 4m + 5 consists of the terms 4m and 5, as well as the provided expression's variable m, all of which are separated by the arithmetic sign +.

given

A stationer sells 17 magazines for €2.70 each, for a total of €45.9; 28 newspapers cost €1.50 each,

for a total of €42; and

x postcards, for a total of €0.30x,

for a total of €97.20.

In order to calculate how many postcards he sold, multiply €0.30 by (45.9 + 42) to get €97.20.

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Correct option is B, The three zeros are 2, 3, -3.

The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0. The zeros of a function can be represented graphically as the x-coordinates (or x-intercepts) where the graph intersects the x-axis.

If a number's unit digit or end indicates a zero, it is a multiple of 10 and so divisible by 10. As a result, the amount of zeros at the end of every number determines how many times it may be raised to the power of 10.

y= (x-2)(x-3)(x+3)

The zeros of the above function are -

x = 2

x = 3

x = -3

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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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Kiran would choose scale of 1 to 50.

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object. If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined.

Given:

As, The scale “1 inch to 6 feet” is equivalent to the scale “1 to 72,” because there are 72 inches in 6 feet.

The scale “1 to 100” would make a scale drawing that is smaller than the scale “1 to 72,” because each inch on the new drawing would represent more actual length.

The scale “1 to 50” would make a scale drawing that is larger than the scale “1 to 72,” because Kiran would need more inches on the drawing to represent the same actual length.

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The options are as follow:

1 to 50

1 to 72

1 to 100

Answer:

h=10

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3/7 = h/14- 2/7

3/7=h/14 - 4/14

7/14 - 4/14 = 3/7

(4/14 is the same as 2/7)

These are the 6 parent functions: Identity, Absolute Value, Square Root, Quadratic, Cubic, Reciprocal.

A parent function is the simplest form that a function can be. Its basic shape is not in any way altered. In mathematics, you see certain graphs over and over again. For that reason, these original, common functions are called parent graphs, and they include graphs of quadratic functions, square roots, absolute values, cubics, and cube roots.

For instance, when you see a u-shaped graph that is inverted and vertically stretched, you should still recognize that it is a parabola which has undergone different transformations.

We can take a few examples to understand this concept further.

Now, there are 6 parent functions:

Hence, these are the 6 parent functions: Identity, Absolute Value, Square Root, Quadratic, Cubic, Reciprocal.

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Answer:

How long does my answer have to be?

Step-by-step explanation:

Answer:

24.90 pound

1 dollar equivalent to 0.8301 pound

so 30 dollar will be 30 multiply by 0.8301

which equals 24.903 pounds

Answer:

8 and 1 third.

Step-by-step explanation:

1)

a) The equation Y=3/4x+3 can be used to represent the growth of the trees over time.

b) The y-intercept in this equation represents the starting height of the trees, which is 3 feet.

c) In 3 years, the height of the trees will be 5.25 feet according to the equation.

2)

No, the equation 3x - 4y = -12 cannot be used to represent the same information in question #1. This equation is not in slope-intercept form, which is necessary to represent a linear relationship between two variables.

a) The 3 and the 4 in this equation are coefficients of the variables x and y, respectively. They do not represent any specific value or quantity in the context of the problem.

b) It is not possible to determine the height of the tree in 24 years using this equation because it is not in the correct form.

c) To find the x-intercept, we can set y to 0 and solve for x. This gives us x = -3. The x-intercept in this equation represents the number of years at which the height of the tree is 0 feet. This does not have any meaning in the context of the problem.

Answer:

16p^12 q^4

Step-by-step explanation:

Open up the parenthesis and simplify.

2^4 is 16

p^3 times ^4 is p^12

q times ^4 is q^4

So your answer is 16p^12 q^4

Answer:

16p^12 q^4

Step-by-step explanation:

This is because the power 4 will multiple with all the variables inside

hence, p^3 will become p^12

and q^1 will become q^4

the power 4 will also change 2 into 2^4 which is 16

Answer:

x = 48

Step-by-step explanation:

If the two angles are supplementary then their sum must be 180 degrees

x + 34 + 2x + 2 = 180

3x + 36 = 180 subtract 36 from both sides

3x = 144 divide both sides by 3

x = 48