Describe the steps in solving the linear equation 3(3x – 8) = 4x + 6.

Answer:

Step-by-step explanation:

The minimum is the smallest value in a data set.

Ordering the data from least to greatest, we get:

1  2   3   5   6   7   9   11   12   13   14   16   17   19   20  

So the minimum is 1

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

Quartile 1 is 5,        

1   2   3   5   6   7   9  11   12   13   14   16   17   19   20  

The first half is

1   2   3   5   6   7   9, the median of these numbers is 5 so Quartile 1 = 5

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

The median is 7,     1   2   3   5   6   7  9   11   12   13   14   16   17   19  20

The third quartile (or upper quartile or 75th percentile) is the median of the second half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

Quartile 3 is 16,

1   2   3   5   6   7   9   11   12   13   14   16   17   19   20  

The upper half is

12   13   14   16   17   19   20, the median of these numbers is 16 so Quartile 3 = 16

The maximum is the greatest value in a data set.

Ordering the data from least to greatest, we get:

1   2   3   5   6   7   9   11   12   13   14   16   17   19   20  

So, the maximum is 20.

Answer:

32

Step-by-step explanation:

14+6(9-6)

[9-6=3]

14+6x3

[6x3=18]

14+18

32

---

hope it helps

Answer:

14+6×(9-6)=32

some of the darwens spiders have different traits for flexibility because they each got different different traits from each parent. like offspring A and C got their traits from their mother. offspring B got its traits from its father. and Offspring D got their traits from both mother and father.

I hope this helps

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:9324.384

Step-by-step explanation: 22632 x .412 = 9324.384

well, what's 41.2% of 22,632?

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{41.2\% of 22632}}{\left( \cfrac{41.2}{100} \right)22632} ~~ \approx ~~ 9324.38~\hfill \approx\text{\LARGE 9324}\)

The y-intercept (0, 120), and the point (55, 17), on the graph of the exponential function of the population of mammals with the population decreasing at 3.5% per year indicates;

A. The y-intercept represents the number of mammals when they were originally counted was 120

B. The line y = 0 is an asymptote of the graph

D. The y-intercept is 120

F. The asymptote indicates that as years pass, the number of mammals will approach 0

An asymptote is a line on a graph that the curve of a graph approaches as the values of the graph increases to infinity.

The points on the graph of the exponential function are;

(0, 120) and (55, 17)

The rate at which the population is decreasing = -3.5%

The output of the graph, y = The number of mammals x years after counting

The key features of the exponential function are;

The y-intercept of the graph is the point x = 0, which corresponds to year 0, or the time when the mammals were originally counted and the y-value at the y-intercept represents the number of mammals when they were counted originally, therefore option A is correct

The coordinates of the y-intercept is (0, 120)

The y-intercept is therefore the point y = 120

Therefore, option D is correct

The general form of the growth exponential function is presented as follows;

f(x) = a·bˣ + k

r = b - 1

b = 1 + r

Therefore;

b = 1 - 0.035 = 0.965

a = The first term = 120

Plugging in the known values from the graph, we get;

f(0) = 120 = a + k

120 = 120 + k

k = 120 - 120 = 0

k = 0 = The asymptote

Therefore, an asymptote is the line y = 0 option B is therefore correct

The  number of mammals approach the asymptote, y = 0 as the number of mammals approach infinity

Therefore as the years pass the number of mammals will approach 0, option F is correct

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the area of one of the isosceles triangles formed by cutting the square by a diagonal is 25√(7) square cm.

Find the area of triangle?

To find the area of one of the isosceles triangles formed by cutting the square by a diagonal, we can use the fact that the area of a triangle is given by the formula:

A = (1/2)bh

where A is the area of the triangle, b is the base, and h is the height.

In this case, the base of the isosceles triangle is one of the sides of the original square, which is 10 cm. The height can be found by using the Pythagorean theorem, since the diagonal of the square and the height of the isosceles triangle form a right triangle:

d² = h² + (10/2)²

where d is the length of the diagonal, which can be found using the Pythagorean theorem:

d² = 10² + 10² = 200

d = √(200) = 10√(2)

Substituting this value for d in the first equation, we get:

(10√(2))² = h²+ (10/2)²

200 = h² + 25

h²= 175

h = √(175) = 5√(7)

Now we can use the formula for the area of a triangle to find the area of one of the isosceles triangles:

A = (1/2)(10)(5√(7))

A = 25√(7) square cm

Therefore, the area of one of the isosceles triangles formed by cutting the square by a diagonal is 25√(7) square cm.

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The entropy of the outcome of this experiment = 9

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that,

A coin having probability p=2/3

Heads is flipped 6 times

If the coin is flipped 6 times

The Total Number of Trial in the Experiment =2/3

It comes up heads 6 times

This Means: Number of Successful Outcome of HEADS =6

In an experimental probability,

Experimental probability of the coin’s coming up heads

=Number of Successful Outcome of HEADS/Total Number of Trials in the Experiment

= 6/(2/3)

= 6*3/2

= 18/2

= 9

Therefore,

The entropy of the outcome of this experiment = 9

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Answer:

whats up shay

Step-by-step explanation:

whats up lynn

The percentage of cookies Lily kept for herself is 12.5 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

The number of cookies Lily baked = 2 dozen

                                                         = 2 x 12 cookies

                                                         = 24 cookies

The number of cookies that was shared to neighbors =
( 3/8 ) x number of cookies Lily baked

The number of cookies that was shared to neighbors = ( 3/8 ) x 24

                                                                                         = 3 x 3

                                                                                         = 9 cookies

The number of cookies that was shared with family = 12 cookies

So ,

The remaining cookies =
number of cookies Lily baked - number of cookies that was shared to neighbors - number of cookies that was shared with family

The remaining cookies = 24 - 9 - 12

                                       = 3 cookies

So , the percentage of cookies Lily kept to herself =
( The remaining cookies x 100 ) / number of cookies Lily baked

The percentage of cookies Lily kept to herself = ( 3 x 100 ) / 24

                                                                              = 300 / 24

                                                                              = 12.5 %

Hence , the percentage of cookies Lily kept to herself is 12.5 %

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Answer:

-3/16

Step-by-step explanation:

3/8 = 0.375 and -3/6 = -0.5

0.375*(-0.5) = -0.1875

-0.1875 = -3/16

Thats your answer.

Answer:

tell them that you would like them to reconsider your level in whatever class that is

Step-by-step explanation:

Answer:

Maybe have good handwriting (if written assignents), double check your questions to make sure they are corect, show all of your work, ask extra questions to show you are paying attention, take notes and try to make sure she/he notices.

Step-by-step explanation:

hope this helped

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by the cost decreases for each additional shirt.

The cost of n t-shirts is given by the equation:

c = 15 + 9(n + 1)

c is the cost in dollars and n is the number of t-shirts.

The cost for 2 t-shirts, we substitute n = 1 into the equation:

c = 15 + 9(1 + 1) = 33

So it will cost \($33\) for 2 t-shirts.

The cost for 5 t-shirts, we substitute n = 4 into the equation:

c = 15 + 9(4 + 1) = 51

So it will cost \($51\) for 5 t-shirts.

The cost of additional shirts after the first one is \($9\) per shirt.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by which the cost decreases for each additional shirt.

The following formula calculates the price of n t-shirts: c = 15 + 9(n + 1).

n is the quantity of t-shirts, and c represents the price in dollars.

We change n = 1 to represent the price of 2 t-shirts:

c = 15 + 9(1 + 1) = 33

the price will be.

t-shirts for two.

We enter n = 4 to get the price for 5 t-shirts: c = 15 + 9(4 + 1) = 51

the price will be.

Five t-shirts worth.

After the first shirt, additional shirts cost each shirt.

The cost of n t-shirts is given by the equation c = 15 + 9(n + 1), where the phrase 9(n + 1) denotes the price of subsequent shirts after the first shirt and the coefficient 9 denotes the amount by which the cost increases.

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Answer:

There are 1000 apples in total !

Step-by-step explanation:

since there are 200 apples in each crate and there are 5 crates, you just need to multiply to find the total amount.

200 x 5 = 1000

Answer:

40

Step-by-step explanation:

You are deviding 200 and 5 and it gives you 40 cuz if you multiply 40 times 5 it gives you 200 cuz 4 times 5 = 20 your just adding a zero

Method:

First place the replace of p and r using brackets.

= 3(6) + 11.7(7)

3 times 6 is 18 and 11.7 times 7 is 81.9

= 18 + 81.9

add one and one together you get

= 99.9

hope it helps

The result of the expression 20 - 6 is 14.

To solve the given expression, 20 - 6, and isolate the variable, we need to clarify whether there is an equation involved. However, in this case, the expression does not contain any variable to isolate, and it is not an equation that needs balancing. It is a straightforward arithmetic expression.

Step 1: Start with the given expression, 20 - 6.

Step 2: Evaluate the subtraction operation: 20 - 6 = 14.

Step 3: The simplified expression is now 14. However, since there is no variable present, there is no need to isolate any variable.

This means that when you subtract 6 from 20, the answer is 14. Remember that isolating a variable and balancing an equation are relevant when dealing with equations that involve variables. In this case, the expression is a simple subtraction operation, yielding a constant value of 14 as the answer.

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The transformation of f(x) to g(x) is :

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

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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Answer: undefined, not enough information

Step-by-step explanation:

Answer:

15+19 =34 is the perimeter of the closed figure

hope it helped you

Answer:

g(x) = |x+8|-3

Explanation:

g(x)= |x|

8 units to the left is |x+8|  (similarily, 8 units to the right would be  |x-8|)

3 units down is - 3 (3 units up would be +3)

g(x) = |x+8|-3

The value of 3 over one thirds minus one forth is 8 3/4.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, 3 over one thirds minus one forth. This will be:

= 3 /(1/3) - 1/4

= (3 × 3) - 1/4

= 9 - 1/4

= 8 3/4

The value is 8 3/4.

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Answer:

3

Step-by-step explanation:

Refer to the picture to see the work. Let me know if anything doesn't make sense.

The image of the quadrilateral after the translation is added as an attachment

The given parameter represents the quadrilateral ABCD on the graph.

On this graph, we have the coordinates of ABCD to be:

A = (2, -3)

B = (-1, 3)

C = (-1, -3)

D = (-4, -4)

The translation is given as

2 units to the left and 3 units up.

Mathematically, this can be represented as

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

So, we have

A' = (0, 0)

B = (-3, 6)

C = (-3, 0)

D = (-6, -1)

Next, we plot the above coordinates on the graph (See attachment)

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Answer:

look at the photo

Step-by-step explanation:

it just is

Answer:

It's the first option.

Step-by-step explanation:

It is turned down so the one half is negative (-1/2)

parabola will be in the form of a(x-h)^2 + k. (-h, k) is your vertex, in this case that is (15,25). so in the equation, you will have

-1/2(x-15)^2 + 25. first one.

Hope this helps!

By concept of linear equations, The number of birds is 14 and number of lions is 17.

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Let no. of birds=x and no. of lions=y

Given heads=31

and feet=96

Therefore, the equations will be

             x+y=31 and 2x+4y=96

from given equations x=14 and y=17.

Hence,

           The number of birds is 14 and number of lions is 17.

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Answer:

c=55t

Step-by-step explanation:

Your answer will be c=55t

Answer:

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

Apply the Triangle Inequality Theorem.

It states that:

We'll take the sum of two shortest sides and compare with the longest:

It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.

The matching answer choice is e).

The amount of money she will have to pay for booking of the holidays would be = £220

The total amount of money that will cost Merrisa for booking of holidays = £660

The fraction of the total cost that she needs to deposit = 1/3

Therefore, the actual amount that she needs to deposit = 1/3 of £660

= 1/3× 660

= £220

Therefore, in conclusion, Merrisa would have to pay a total of £220 for booking of the holidays. This total amount is ⅓ of total cost of booking.

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The exact values are:

sin(α + β) = (-6√5 - 8)/25

cos(α + β) = (4√5 - 6)/25

sin(α - β) = (-6√5 + 8)/25

tan(α - β) = (-9√5 + 45)/4

We have,

Recall the trigonometric identities:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

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

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

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

tan(a - b) = (tan(a) - tan(b))/(1 + tan(a)tan(b))

Using these identities, we can find the exact values of the expressions given.

(a) Sin (α + β)

sin(α + β) = sin(α)cos(β) + cos(α)sin(β)

= (√5/5)(-3/5) + (2/5)(-4/5) (using the values given for sin and cos)

= -6√5/25 - 8/25

= (-6√5 - 8)/25

(b) Cos (α + β)

cos(α + β) = cos(α)cos(β) - sin(α)sin(β)

= (2/5)(-3/5) - (√5/5)(-4/5) (using the values given for sin and cos)

= -6/25 + 4√5/25

= (4√5 - 6)/25

(c) Sin (α - β)

sin(α - β) = sin(α)cos(β) - cos(α)sin(β)

= (√5/5)(-3/5) - (2/5)(-4/5) (using the values given for sin and cos)

= -6√5/25 + 8/25

= (-6√5 + 8)/25

(d) tan (α - β)

tan(α - β) = (tan(α) - tan(β))/(1 + tan(α)tan(β))

= ((√5/5) - (-4/5))/(1 + (√5/5)(-4/5)) (using the values given for sin and cos)

= (9√5/5)/(1 - 4/5√5)

= (-9√5 + 45)/4

Therefore,

The exact values are:

sin(α + β) = (-6√5 - 8)/25

cos(α + β) = (4√5 - 6)/25

sin(α - β) = (-6√5 + 8)/25

tan(α - β) = (-9√5 + 45)/4

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