85 divided by 5 using multiplication and distributive property

Answer:

A(0,-3) B (5,0) C(0,-7)D(5,-4)

Step-by-step explanation:

The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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Answer: 0.6

Step-by-step explanation:

Given

There are 3 women and 3 men available to form a 2 member committee.

No of ways, a man can be chosen are \(3\)

Similarly, no of ways a woman can be chosen are 3

Therefore, probability of choosing 2 members i.e. 1 man and 1 women is

\(\Rightarrow P=\dfrac{3}{6}\times \dfrac{3}{5}\)

If the order matter, then

\(\Rightarrow P=2\times \dfrac{3\times 3}{6\times 5}\\\\\Rightarrow P=0.6\)

The probability that 1 woman and 1 man will be chosen is "0.6".

According to the question, the club has nominated:

Now,

→ The number of ways to select two persons from 6 will be:

= \(\binom{6}{2}\)

hence,

The probability that one woman and one man will be chosen will be:

→ \(P(1 \ women \ and \ 1 \ women) = \frac{\binom{3}{1} \binom{3}{1}}{\binom{6}{2}}\)

                                              \(= 3\times \frac{3}{15}\)

                                              \(= \frac{9}{15}\)

                                              \(= 0.6\)

Thus the above answer is right.

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As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.

In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.

The intersection of two sets contains only the elements that are present in both sets. In this case,

R ∩ S = {x | x > 0 and x < 3}

The integers that are present in this set are 1 and 2.

Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

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The 1st one/Top one.

X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)

Answer:

(x,y) ---> (-x,y)  2nd choice

Step-by-step explanation:

reflection: If points reflect across the y-axis, their y-coordinates remain unchanged but their x-coordinates change into their opposites.

The original figure ABCD is reflected on y-axis and we got the image A'B'C'D'. Therefore, option B is the correct answer.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

In the given graph, ABCD is the original figure and A'B'C'D' is the image.

Here, A(-2, 1)→A'(2, 1)

B(-4, 1)→B'(4, 1)

C(-4, 5)→C'(4, 5)

D(-2, 4)→D'(2, 4)

Here, the rule is (x, y)→(-x, y)

Therefore, option B is the correct answer.

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The area is  72*y*d^2  (square yards).

In the given triangle a base 6cm and the corresponding height 15cm is given, so to calculate the area we can use:

A =(1/2)×b×h

If we substitute the given numbers we get:

A= 0.5*15*5

= 37.5

The units of base and height are the same (cm), so the calculated area is in c*m

The area of the given triangle is 37.5cm

Use the equation area = 1/2 * base * height to determine a triangle's surface area. Decide which side will serve as the triangle's base, then calculate the triangle's height from that base. After that, enter the height and base measurements you have into the formula.

Area Formulas

Area of a Rectangle = Base × Height.

Area of a Square = Base × Height.

Area of a Square = s2

Area of Triangle = ½(Base × Height)

Area of Parallelogram = Base × Height.

Area of Trapezoid = ½(Base1 + Base2) × Height.

Area of Circle = π(radius)2 = πr2

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Answer:

a₄=8n+1= -39.

Step-by-step explanation:

1) if a₁=3n; a₃=5n-6 and a₅=11n+8, then it is possible to calculate the difference according to 0.5(a₅-a₃)=0.5(a₃-a₁). Then

2) 0.5(11n+8-5n+6)=0.5(5n-6-3n); ⇔ 6n+14=2n-6; ⇔ n= -5.

3) if n=-5, then the 4th term is:

\(a_4=\frac{a_5+a_3}{2}; \ = > \ a_4=\frac{11n+8+5n-6}{2}=8n+1;\)

or a₄=-39.

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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The measures of the internal angles of the triangle are given as follows:

A triangle is composed by three internal angles, and the sum of it's measures is of 180º.

In the context of this problem, the measures are given as follows:

Considering that the sum is of 180º, we can build an equation to solve for x as follows:

3x + 10 + 6x + 2x + 5 = 180

11x + 15 = 180

11x = 165

x = 165/11

x = 15

Hence the measures of the angles are given as follows:

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The measure of the angles are;

It is important to note that the sum of angles in a triangle is supplementary.

Also, supplementary angles are defined as pair of angles that sum up to 180 degrees.

Two angles are termed supplementary when they add up to give 180 degrees.

Since, we have that the sum of the interior angles of a triangle are supplementary, then,

Angle A + Angle B + Angle C = 180 degrees

Given the values as;

Now, put or substitute the values into the formula

3x + 10 + 6x + 2x + 5 = 180

collect like terms

3x + 6x + 2x = 180 - 15

Add or subtract like terms

11x = 165

Make 'x' the subject by dividing both sides by the coefficient of x, we have;

11x/11 = 165/11

Find the quotient

x = 15

But we have to find the angles by substituting the value of x

m∠ A = 3x + 10 = 3(15) + 10 = 55 degrees

m∠ B = 6x = 6(15) = 90 degrees

m∠ C = 2x + 5 = 2(15) + 5 = 35 degrees

Hence, the angles are 55 degrees,  90 degrees and 35 degrees respectively.

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Answer:

C

Step-by-step explanation:

Have a great day ^^ :)

Answer:

Step-by-step explanation:

4(30+5)

4(30)+4(5)

120+20

140

Answer:

  y = 12

Step-by-step explanation:

Ordinarily, in math, when we say "the difference between ..." we mean the second listed item is subtracted from the first. (In English, we often mean "the positive difference between ..." so the order doesn't matter.)

We'll assume we are only interested in the case where the difference is in the order listed.

  \(\dfrac{y+12}{y-4}-\dfrac{y}{y+4}=\dfrac{y+12}{y-4}\cdot\dfrac{y}{y+4}\\\\\dfrac{(y+12)(y+4)-(y-4)(y)}{y^2-16}=\dfrac{(y+12)(y)}{y^2-16}\\\\0=\dfrac{y^2-8y-48}{y^2-16}=\dfrac{(y-12)(y+4)}{(y-4)(y+4)}=\dfrac{y-12}{y-4}\qquad\text{$y\ne -4$}\\\\\boxed{y=12}\)

There is one solution.

_____

Comment on the solution

If you were to "clear fractions" by multiplying the equation by (y^2-16), you would also obtain the extraneous solution y=-4. That is why we did not solve it that way.

Answer:

\(y = x/4 - 22/4\) (parallel line that passes through (2,-5)

Step-by-step explanation:

\(4y = x - 20\\y = x/4 - 5\)

here we isolated the original line

now we know that the line will have exactly the same slope but we need to find c in the new line: y = x/4 + c

so, we input the point (2,-5):

\(c = - \frac{20}{4} - \frac{2}{4} = -\frac{22}{4} \\y = \frac{x}{4} - \frac{22}{4}\)

check that it works: y = 2/4 - 22/4 = -20/4 = -5

So, the most precise classification of quadrilateral LMNP is a kite.

In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.

Here,

To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.

The distance formula is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using this formula, we can calculate the length of each side of the quadrilateral as follows:

LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29

MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116

NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29

PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116

Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.

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Add 4 and 4 to both sides.

2x=9 42x=9+4

Simplify 9+4 to 13 2 x = 13 2x=13 3

Divide both sides by 2.

Final Result: x= 13/2

Hi there!

\(9-4=5\)

\(5\)÷\(2=2.5\)

x=2.5

Answer:

Step-by-step explanation:

Answer:

The number is 16

Step-by-step explanation:

This follows a multiplication rule,

4 times 1 = 4

4 times 2 = 8

4 times 3 = 12

4 times 4 = 16

So, the number is 16

Answer:

15:21:35

Step-by-step explanation:

to find this answer you must find a ratio in which both bs are the same

so

multiple a:b by 3 and b:c by 7

15:21 21:35

then you can put the bs together

15:21:35

that is your answer

Answer:

15 : 21 : 35

Step-by-step explanation:

Now, we see that both ratios contain B.

We need to find a common value for B so all values can be linked.

Multiply Ratio 1 by 3 and Ratio 2 by 7 :

⇒ A : B = 3 × 5 : 3 × 7 = 15 : 21

⇒ B : C = 7 × 3 : 7 × 5 = 21 : 35

Now we see B has the same value in both ratios.

Hence, the ratio we need to find is :

A : B : C = 15 : 21 : 35

Answer:

7

Step-by-step explanation:

7 is a whole number and not a probability

ANSWER :

R is located at -1

EXPLANATION :

Point Q is at -6

Point R is 5 more than point Q,

So R will be :

If the graph of f(x) = x is shifted up 9 units, the equation of the new graph would be g(x) = x + 9.

In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is shifted up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Translating the graph of the parent function f(x) = x by shifting it nine (9) units up, we have the following equation:

f(x) = x   →  g(x) = f(x) + 9

g(x) = x + 9

In this context, we can logically deduce that the parent function f(x) was shifted by nine (9) units up to create function g(x) as shown in the graph attached below.

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The domain restrictions for (f/g)(x) are (c) x = 0, 6

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

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

Answer: Hence, the time taken by the experienced crew would be 9 hours.

Step-by-step explanation:

Answer:

The answer is 32

Step-by-step explanation:

The formula for finding the area of a trapezoid is:

         ((base 1 + base 2)/ 2 )* h

Now all you have to do is substitute the numbers in.

Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.

Answer:

32 square units

Step-by-step explanation:

\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)

Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.

Answer:

Step-by-step explanation:

√6 + 3√6 = 4√6

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