thanks for the help!!!!!

Answer: b) and a)

Step-by-step explanation:

Cause absolute value is the opposite of the number

we get that

so the angle ZXY is:

Explanation

We can infer that the Literary Digest poll was wrong because it was biased.

We are told that the poll used lists of telephone and automobile owners to select their sample which doesn't give a full representation of all those who will vote in the election.

So we can infer that the problem with the Literary Digest poll is that it was Biased

In order to sculpt the lion, the scupltor must have, at least, a rectangular composite that has the maximum dimensions of the final sculpture.

Thereby,

The rectangular composite would need to have a volume of 35 cubic feet.

Now, let's use a rule of three to calculate the weight of the composite, since we're given its density:

This way,

We can conclude that the weight of the smallest rectangular block that the sculptor must purchase in order to create his statue is 1400 lbs

Based on the diagram, we have two right triangles. These are triangle WYT and triangle WYZ.

Since both legs of each triangle is congruent to each other, we can also say that their hypotenuse are congruent too.

Thus, TW = WZ or 2x = 3x - 5.

From this, we can now solve for x.

Therefore, the value of x = 5.

To solve for WZ, let's plug in x = 5 to 3x - 5.

Therefore, WZ = 10.

To summarize, x = 5 and WZ = 10. (Option A)

0.7768

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Although part of your question is missing, the complete question is "determine the pattern then write the decimal to complete the decimal grid 0.34 0.65 as shown in a grid".  

The decimals in  given pattern is 0.23, 0.24, 0.25, 0.34, 0.43, 0.44, 0.45, 0.54 , 0.63, 0.64, 0.65.

In the decimal grid, there are 5 horizontal rows and 3 vertical columns. In each row, the next element increases by 0.01 and In each column, the next element increases by 0.10.  

So in the first row, the elements are 0.23, 0.24, 0.25

The given element below that  is given as 0.34

The elements in the next row are 0.43, 0.44, 0.45

The element in the fourth row is 0.54

The elements of the last row are 0.63 and 0.65

Hence, completing the pattern missing elements are 0.23, 0.24, 0.25, 0.43, 0.44, 0.45, 0.54 and 0.63

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Answer:

See below

Step-by-step explanation:

Solution

Part a

For the first part we have two points (2,4) and (4,10)

We can find the slope like this:

And then the intercept would be:

4= 3*2 +b

b= 4-6= -2

Then the answer is:

y= 3x -2

Part b

f(-4)=18 and f(4) =2

The slope is:

2= -2*4 +b

b= 2+8=10

y= -2x+10

Part c

x intercept at (-5,0) and the y intercept (0,4)

And using the y intercept we have:

4= 4/5*0 +b

b= 4

y= 4/5x +4

To answer this question, we need to remember that the mean of a data is the sum of the data divided by the total number of elements that represent this data.

Therefore, if we need to find the sixth value for which the average (mean) per game is 25 points, we can proceed as follows:

Now, to find the value, x, we need to follow the next steps:

1. Add the values in the numerator of the fraction:

2. Multiply both sides by 6:

3. Finally, subtract 126 from both sides of the equation:

Therefore, the value she needs is 24 points.

And we can check this value as follows:

Therefore, in summary, we have that Amanda needs to score 24 points in the next game so that her average is 25 points per game.

Danny has 42 nickels and 4 pennies.

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SOLUTION:

From the given geometric sequence gives

The common ratio. reduce

Simplifying this gives

Therefore the common ratio is r=3

The solution to each equation involving absolute values:

In this exercise we have eight cases of equations involving absolute values. The definition of absolute value is:

|x| = a, where x = a, for x ≥ 0 and - x = a, for x < a.

Now we proceed to resolve on each case:

Case 1

|k| = 8

k = 8 ∨ - k = 8

k = 8 ∨ k = - 8

Case 2

|x| = 7

k = 7 ∨ - k = 7

k = 7 ∨ k = - 7

Case 3

|a + 2| = 8

a + 2 = 8 ∨ - a - 2 = 8

a = 6 ∨ a = - 10

Case 4

|8 · n| / 10 = 2

|8 · n| = 20

8 · n = 20 ∨ - 8 · n = 20

n = 20 / 8 ∨ n = - 20 / 8

n = 10 / 4 ∨ n = - 10 / 4

n = 5 / 2 ∨ n = - 5 / 2

Case 5

|- m + 9| = 13

- m + 9 = 13 ∨ m - 9 = 13

m = - 4 ∨ m = 22

Case 6

|7 - 5 · x| = 27

7 - 5 · x = 27 ∨ - 7 + 5 · x = 27

5 · x = - 20 ∨ 5 · x = 34

x = - 4 ∨ x = 34 / 5

Case 7

|2 · x + 7| / 5 = 5

|2 · x + 7| = 25

2 · x + 7 = 25 ∨ - 2 · x - 7 = 25

2 · x = 18 ∨ 2 · x = - 32

x = 9 ∨ x = - 16

Case 8

|- 3 - 5 · a| / 9 = 1

|- 3 - 5 · a| = 9

- 3 - 5 · a = 9 ∨ 3 + 5 · a = 9

5 · a = - 12 ∨ 5 · a = 6

a = - 12 / 5 ∨ a = 6 / 5

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To compare two values, first convert the values to the same measuring unit.

What is a measuring unit?

The definition of a unit of measurement is a certain magnitude of a quantity that has been defined and acknowledged by law or convention and is used as a standard for measuring other quantities of the same kind.

Any other quantity of that sort can be expressed as a multiple of the unit of measurement. For instance, a length is a physical quantity. Measurement is the process of identifying a number that accurately captures the amount of anything.

A measuring unit is a recognized quantity that is used to represent a physical quantity. Let's examine a few of the common units for measuring physical quantities.

Given that, to compare the values

If we want to compare two values first we have to convert it in same measuring unit.

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This can be solved using permutations

What are permutations?

A permutation of a set in mathematics is a loosely defined organization of its members into a sequence or linear order, or, if the set is already sorted, a rearranging of its elements. The act or process of shifting the linear order of an ordered set is often referred to as "permutation." Permutations are distinct from combinations, which are random picks of certain members of a collection. For example, there are six permutations of the set 1, 2, 3 represented as tuples: (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 1, 2). (3, 2, 1). Permutations include anagrams of words with various letters.

No. of ways using permutation = ¹⁷P₅ = 742560

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Answer:

3

Explanation:

Given the logarithmic expression:

First, express 64 as a power of 4:

Next, apply the power law of logarithms:

Finally, by the unity law:

The result of the evaluation is 3.

Given:

The given number is 15, which express degrees Fahrenheit.

The opposite of the opposite means the negative of the negative because an opposite number refers to multiply by -1.

Given:

A(-9, 2) and B(5, -4)

Here,

(x1, y1) ==> (-9, 2)

(x2, y2) ==> (5, -4)

To find AB, use the distance formula below:

Tarik is 0.75 miles away from the store.

It should be noted that based on the information given, the expression has been given for the hours used.

In this case, the minutes used was:

= 7.15am - 7.00am

= 15 minutes

This will be changed to hour

15 minutes = 15/60 = 0.25 hour.

The expression given is:

= 3(x - 0.5)

where x = hours used 0.25

= 3(x - 0.5)

= 3(0.25 - 0.5)

= 3(-0.25)

= -0.75

He is 0.75 miles away.

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The recursive formula is aₙ₊₁ = aₙ + 6 and the explicit formula is aₙ = -5 + (n-1)6 for the given sequence.

The recursive formula to find the nth term of an arithmetic sequence is:

aₙ = aₙ₋₁ + d for n ≥ 2

where aₙ is the nth term of an A.P.

In arithmetic, sequence d represents the common difference.

Where aₙ is the nth term of the sequence and a₁ is the first term

Given the sequence -5, 1, 7, 13, 19, ...

The first term (a₁) = -5

a₂ = 1

a₃ = 7

a₄ = 13

a₅ = 19

The common difference (d) = a₅ - a₄= a₄ - a₃= a₃ - a₂ = 6

So, aₙ₊₁ - aₙ = 6

aₙ₊₁ = aₙ + 6

The explicit formula of the given sequence is given by,

aₙ = a₁ + (n-1)d

aₙ = -5 + (n-1)6

Hence, the recursive formula is aₙ₊₁ = aₙ + 6 and the explicit formula is aₙ = -5 + (n-1)6 for the given sequence.

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The term is the word that is used to represent the added and subtracted parts of an expression.

When one is writing a mathematical expression, they would have to make use of numbers, variables as well as symbols in the equation that is being written.

The operators that are written are seen to be connected through the use of symbols of multiplication, addition or otherwise.

The parts of the expression that are known to be fully connected to the addition as well as the subtraction is what is referred to as terms.

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The expression is

[tex]6^{-2}[/tex] < [tex]\frac{1}{6} ^{-2}[/tex] , [tex]6^{-1}[/tex]< [tex]\frac{1}{6} ^{-1}[/tex], [tex]6^{-2}[/tex]< [tex]6^{-1}[/tex]

Here we have to find the expression

a) [tex]6^{-2}[/tex] and [tex]\frac{1}{6}^{-2} }[/tex]

= 1/6² and 6²

= 1/ 36 and 36

= 1/36 < 36

So [tex]6^{-2}[/tex]< [tex]\frac{1}{6} ^{-2}[/tex]

b) [tex]6^{-1}[/tex] and [tex]\frac{1}{6} ^{-1}[/tex]

= 1/6 and 6

= 1/6 < 6

So [tex]6^{-1}[/tex] < [tex]\frac{1}{6} ^{-1}[/tex]

c) [tex]6^{-2}[/tex] and [tex]6^{-1}[/tex]

= 1/36 and 1/6

= 1/36 < 1/6

So [tex]6^{-2}[/tex] < [tex]6^{-1}[/tex]

Therefore the expression is [tex]6^{-2}[/tex]< [tex]\frac{1}{6} ^{-2}[/tex] , [tex]6^{-1}[/tex] < [tex]\frac{1}{6} ^{-1}[/tex] , [tex]6^{-2}[/tex] < [tex]6^{-1}[/tex].

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Answer:

Step-by-step explanation:

x = 7

Let's call the votes John recieved x

If Sam recieved 20% more votes than John, it means that the total votes Sam recieved are 1.20x

We know that the total amount of votes add up to 99. Thereby,

Thereby, John recieved 45 votes in total

Answer:

y=4

Step-by-step explanation:

Since any two parallel lines have the same slope we know the slope of the unknown line is 0 (its from the slope of y=0(x)+0 which is also 0).

Also since the unknown line goes through (3,4), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

y−y

1

​

=m(x−x

1

​

) where m is the slope and (x

1

​

,y

1

​

) is the given point.

Now substituting the values:

y−4=0(x−3)

⇒y−4=0

⇒y=4

Hence, the equation of the line is y=4.

This is the graph of the parent function:

But translated 2 units up. Therefore, the equation of this graph is given by:

Answer:

11/12 11/12 7/10 7/10 5/6

Step-by-step explanation:

I did smallest to largest. still answer your question so 5/6 is the greatest (it's bigger) and 11/12 is the least (it's the smallest) think of it like a cookie would you rather have 11/12 of a cookie or 5/6 of a cookie which is the bigger piece? the bigger piece is the greater number.

A composite number is a positive integer that has more than two factors, for example, 4, it can be expressed as 2x2=4 and 1x4=4.

Then, the answer is a number with multiple factors