Select the correct answer.
Identify the axis of symmetry of the function graphed below.

To find the greatest common factor (GCF) of three numbers, you can use the prime factorization method:

1. Find the prime factorization of each number:

- 152 = 2^3 * 19

- 171 = 3 * 3 * 19

- 57 = 3 * 19

2. Identify the common prime factors: 19 is the only common prime factor.

3. Multiply the common prime factors together: 19.

Therefore, the greatest common factor of 152, 171 and 57 is 19.

Answer:

81 degrees, at least that's what I got doing the math,

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

28 = 7x + 3 - 2x

28 = 5x + 3

28 - 3 = 5x + 3 - 3

25 = 5x

25/5 = 5x/5

X = 5

Answer:

X = 5

Step-by-step explanation:

1. Combine like terms.

2. Subtract 3 from both sides.

3. Simplify.

4. Divide both sides of the equation by the same term.

5. Simplify.

Hope this helps!

Answer:

243

Step-by-step explanation:

Multiply 270 x .90 = 243

Answer:

Step-by-step explanation:

The formula to find the sum of the interior angles of a polygon is given below,

Number, n, of sides of a regular pentagon is 5 i.e n = 5,

To find the sum of angles in a regular pentagon, substitute for n into the formula above,

To find the measure of each angle of the pentagon, the formula is given below

Hence, each interior angle is 108°

The solution is:  the range and standard deviation of the set of data is:

13 and 4.20 .

Solution

Step 1

Find the range

Range = largest value - smallest value

Range = 18-5 =13

Step 2

X = Σx /n

Where Σx = 10 +10+5+12+18 = 55

n = 5

Step 3

Substitute in and find the mean

X = 55/5 = 11

Hence the mean = 11

Step 4

Write an expression for the standard deviation

standard deviation = √|x - X|²/n

Step 5

Draw up a table to help find the standard deviation

Hence substituting yields

sd = √88/5

    =4.195

The standard deviation approximately = 4.20 to the nearest hundredth.

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complete question:

Find the range and standard deviation of the set of data.10, 10, 5, 12, 18 What is the range

All of the equations that are true include the following:

B. 56 + 70 = 14(4 + 5).

C. 28 + 49 = 7(4 + 7).

In Mathematics, the distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

In order to determine the true equation, we would apply the distributive property of multiplication and then check whether or not the right-hand side is equal to the left-hand side.

By applying the distributive property of multiplication to the given mathematical expression, we have the following:

32 + 96 = 8(4 + 14)

32 + 96 = 32 + 112 (False).

56 + 70 = 14(4 + 5).

56 + 70 = 56 + 70 (True).

28 + 49 = 7(4 + 7).

28 + 49 = 28 + 49 (True).

27 + 36 = 3(9 + 13)

27 + 36 = 27 + 39 (False).

25 + 35 = 5(5 + 6)

25 + 35 = 25 + 30 (False).

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Answer:

The awnser is d i think

Explanation:

a)

Looking at the graph, it is reasonable to assume that after 3 hours, the concentration should be about 1.5 miligrams per liter.

b)

Answer: Concentration = 1.5 miligrams per liter after three hours.

c)

The function is given by a term in the numerator and a term in the denominator. The term in the denominator cannot equal 0.

Answer: The horizontal asymptote is the line y = 0

The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

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Step-by-step explanation:

This system of election result forecast is called a non-representative poll with a high percent margin of error. and used as an alternative to an expensive and tedious representative poll system.

Non-representative polls can be used to produce accurate electoral predictions and may frequently be done faster and cheaper than typical survey procedures.

Not just for the election forecasts, but also for public opinion on a wide variety of social, economic, and cultural topics, non-representative polling appears promising.

The Matching of  the vocabulary words with the right definitions are given below respectively.

In mathematics, a relation is a set of ordered pairs that describes a relationship between elements of two sets.

Each ordered pair consists of an input and an output, and the relation specifies how the inputs and outputs are related to each other.

Relations can be represented graphically or algebraically.

1. domain: the independent values, or x values

2. input: a group of two numbers written in an order (x, y) so that the first value represents a horizontal position and the second number represents a vertical position

3. ordered pair: a group of two numbers written in an order (x, y) so that the first value represents a horizontal position and the second number represents a vertical position

4. mapping diagram: a way of representing how the members of one group are related to the members of another group

5. function: a relation where for any given input value there is only one output value. A value substituted in for the variable in a function which generates another value (the output).

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Answer:

Step-by-step explanation:

102×1000÷100=1020

107×3000÷100=3210

A . 1020+3210=4230

4000=100%

230

230×100÷4000=5.75%

A=4230

B=5.75%

No. The proof is wrong.

Here we are asked to prove all Natural numbers are either even or odd.

Natural numbers start from 1 to infinity.

Hence to prove by mathematical induction, we need to take the base case to be n = 1.

here, 1 = 2X0 + 1, therefore 1 is odd

Then we need to assume that for any integer m < n, m is either even or odd.

Now n > 1

Therefore,

n -1 > 0

Hence n - 1 will be a natural number.

Hence by our earlier assumption where any number smaller than is either even or odd

n - 1 has to be either even or odd.

case 1

here n - 1 is odd

if n - 1 is odd then

n-1  + 1 is a sum of two odd numbers, hence n is even

Case 2- If n - 1 is even

then, n-1  +  1 is a sum of an even and n odd number hence n is odd

Therefore n will either be even or odd.

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Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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The amount of time he spent on bicycle is 4.5 hours.

Given Jim began a 145 mile bicycle trip.

The whole trip took 7 hours.

Jim walks at a rate of 4 miles per hour  and rides at 30 miles per hour.

speed = distance / time

time = distance / speed

ride:

d = distance ridden

t = d/30 (given from the problem)

walk:

t = (145 - d)/4 (given from problem)

total trip time:

7 = d/30 + (145 - d)/4.

7 = 4d/120 + 30(145 - d)/120

7×120 = 4d + 30(145 - d)

840= 4d +4350-30d

840 ₋ 4350 = ₋30d ₊ 4d

₋3510 = ₋26d

d = 3510/26

d = 135

d=135 then from here using the formula t = d / s we can solve

t=135/30 = 4.5 hours

hence the amount of time Jim spent on the bicycle is 4.5 hours.

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Answer: Look

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

\(f(f^{-1}(x))=f^{-1}(f(x))=x\)

Answer:

0.4 or \(\frac{2}{5}\)

Step-by-step explanation:

James spun the arrow 30 times which means 30 is the total. In other words, it's your denominator (\(\frac{x}{30}\)). It landed on the blue section 12 times which means 12 is the part of the whole. In other words, it's your numerator (\(\frac{12}{y}\)). Plug in the entire fraction and you get \(\frac{12}{30}\). Divide 12 by 30 and you get 0.4 or if you divide both the numerator & denominator by 6, you get \(\frac{2}{5}\). Either one works, depending on what your question asks for.

Answer:

14

Step-by-step explanation:

angle 90° is opposite the side x. angle 45° is opposite side 7√2.

x/sin 90 = (7√2)/sin 45

multiply both sides by sin 90 (sin 90 is = 1).

x = (7√2)/sin 45

 = 14

In the given case, each loaf of bread contains 25/18 cups of flour.

To find how many cups of flour are in each loaf of bread, we need to divide the total amount of flour by the number of loaves.

First, let's convert the mixed numbers to improper fractions:

\(2 2/3 cups = 8/3 cups\)

\(1 1/2 cups = 3/2 cups\)

Next, we can add the two fractions to find the total amount of flour:

8/3 cups + 3/2 cups = (16/6 + 9/6) cups = 25/6 cups

So, the recipe requires 25/6 cups of flour to make 3 loaves of bread.

To find the amount of flour in each loaf, we divide 25/6 cups by 3:

(25/6 cups) / 3 = 25/18 cups

Therefore, each loaf of bread contains 25/18 cups of flour.

Alternatively, we could simplify the mixed numbers at the beginning:

2 2/3 cups = 8/3 cups

1 1/2 cups = 6/4 cups

Then we can add the fractions:

8/3 cups + 6/4 cups = (32/12 + 18/12) cups = 50/12 cups

Finally, we can divide by 3 to find the amount of flour in each loaf:

(50/12 cups) / 3 = 25/18 cups

So the answer is the same.

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The rate of decrease of the weather in degrees per hour is 2 degrees.

The time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.

The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.

Therefore, the rate of decrease of the weather in degrees per hour is:

-8 degrees / 4 hours = -2 degrees per hour

A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.

Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.

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Step-by-step explanation:

Vertical angles are equal   r = 70 degrees

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

Area = 14¹/16 yd² or 14.0625 yd²

Step-by-step explanation:

2. The figure given is a square having equal sides of 3¾ yd each.

Formula for area of the square = a²

Where,

a = 3¾ yd

Plug in the value into the equation:

Area = (3¾)²

Change to improper fraction

Area = (15/4)²

Area = 225/16

Area = 14¹/16 yd² or 14.0625 yd²

[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

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