Write a single algebraic rule for the series of transformations: a reflection about the x-axis, a rotation of 90 degrees clockwise, and a translation of 4 units right and 2 units down.

Answer:

your answer is B

Step-by-step explanation:

The prime factorization of 18 is 2 x 3², dividing 18 first by 2 and then by 3 twice.

The prime factorization of a number represents that number written as the product of its prime factors. Let's take 18 as an example. First, we will find the smallest prime number that can divide 18, which is 2. When 18 is divided by 2, the quotient is 9. Then, we continue to divide 9 by the smallest possible prime number, which is 3. We can divide 9 by 3 two more times. Therefore, the prime factorization of 18 is 2 x 3², where 2 and 3 are the prime factors and ² is an exponent indicating that 3 is a factor twice.

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Answer:

m<6 = 54

St,ep-by-step explanation:

Lines b and c are parallel.

13x +9 and 5x+9 are consecutive exterior angles.

Consecutive exterior angles are supplementary.

[tex]13x+9+5x+9= 180[/tex]

Now we solve for x. combine like terms

[tex]18x+18= 180[/tex]

Subtract 18 from both sides

[tex]18x=162[/tex]

Divide both sides by 18

x=9

So the value of x=9

angle 6 and 5x+9 are vertical opposite angles . they are equal

m<6= 5x+9

Plug in 9 for x

m<6= 5(9)+9=54

m<6 = 54

Answer:

m<6 = 54

Step-by-step explanation:

Answer:

Answer to this question is TRUE.

Step-by-step explanation:

The graph of the function:

[tex]f(x)=x^4+x^3-11x^2-9x+18[/tex]  is attached to the answer.

Clearly by looking at the graph we could see that the zeros of the function f(x) are -3, -2, 1 and 3.

All the zeros are distinct.

" Also upper bound of a number 'p' means the set of all those numbers which are greater than 'p' ".

Here 5 will be an upper bound for the zeros of the function f(x) since all the 4 zeros of f(x) are less than 5.

Hence, the given statement that the value 5 is an upper bound for the zeros of the function f(x) is TRUE.

Answer:

true

Step-by-step explanation:

Final answer:

The probability of picking a second black marble, given that the first marble picked was black, is 1.

Explanation:

To find the probability of picking a second black marble, given that the first marble picked was black, we can use the formula for conditional probability: P(A|B) = P(A and B)/P(B).

In this case, A represents the event of picking a black marble on the second draw, and B represents the event of picking a black marble on the first draw.

We are given that P(B) = 514, and the probability of picking two black marbles without replacement is 1091. Therefore, P(A and B) = P(A|B) * P(B) = (1091/514) * (514/1091) = 1.

So, the probability of picking a second black marble, given that the first marble picked was black, is 1.

Answer: 196.8

Step-by-step explanation:

Start off by reading the problem.

A radio tower casts a shadow of 8.2 ft long and a 36-inches and a fourth-grader walking home cast a shadow of 1.5 inches. How tall is the radio tower?

Then take what you know from the problem and put it in a fraction looking thing:

like this:

1.5 8.2

__ = __

36 x

So after you've done this you will want to:

Multiply 36 x 8.2 = 295.2

take 295.2 then Divide by 1.5

=196.8

Answer:

196.8

Step-by-step explanation:

A man weighing 180 lb has burned approximately 100 calories by jogging one mile, based on the average estimate that jogging one mile burns almost 100 calories.

The question relates to the calculation of calories burned during exercise, specifically jogging. Based on the information provided that running or jogging one mile burns almost 100 calories, we can calculate the energy expenditure for a man weighing 180 lb who jogs a mile in 8 minutes.

Since the provided calories burned per mile is an average, the actual number might vary slightly based on individual metabolism and effort level, but it serves as a useful approximation.

To determine how many calories the man has used up, we can use the given information:

Therefore, the man has burned approximately 100 calories during his 8-minute mile jog.

Answer:

the answer is  

{2, 3, 4}

Step-by-step explanation:

if 5 is the only one that works and it has to be inequality  so  

{2, 3, 4} can be the only answer

85+88+87+80+x/5=82

340+x=410

410-340=70

Answer:

The sum of 8 terms of series is 959,780

D is correct

Step-by-step explanation:

Given: -4, 24, -144, ......

There are 8 terms.

We need to find the sum of 8 terms.

First term, a=-4

Common ratio, r=-6

[tex]a_n=-4\cdot(-6)^{n-1}[/tex]

Sum of 8 term

[tex]Sum=a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8[/tex]

[tex]Sum=\sum_{n=1}^{8}a_n[/tex]

[tex]Sum=-4+24-144+864-5184+31104-186624+1119744[/tex]

[tex]Sum=959,780[/tex]

Hence, The sum of 8 terms of series is 959,780

Answer:

first one would be c

Step-by-step explanation:

We have to determine the length of segment CE if AE = 15 inches and ED = 5 inches and EB = 3 inches.

Since ,we can observe that AB and CD are chords intersecting at point E.

Therefore, by intersecting chord theorem which states:

" When two chords intersect each other inside a circle, the products of their segments are equal"

So, [tex] AE \times EB= CE \times ED [/tex]

[tex] 15 \times 3= CE \times 5 [/tex]

[tex] 45= CE \times 5 [/tex]

[tex] CE = \frac{45}{5} [/tex]

CE = 9 inches.

So, the measure of segment CE is 9 inches.

So, Option B is the correct answer.

The answer provides the experimental probability of selecting green or purple marbles, predicts the occurrences of rolling 3 or 5 on a number cube, and estimates the total number of people who enjoyed the movie.

Experimental Probability Calculation: In the given scenario, there are 8 green marbles and 2 purple marbles, making a total of 10 marbles. The probability of selecting a green or purple marble is the sum of the individual probabilities, which is (8/10) + (2/10) = 0.8.

Expected Outcome of Rolling a Number Cube: Since a standard number cube has numbers 1 to 6, each number has an equal probability of 1/6. Predicting how many times 3 or 5 will be rolled out of 180 rolls can be calculated by (1/6 + 1/6) x 180 = 60 times each for 3 and 5.

Total Number of People Who Enjoyed the Movie: Based on the sample data, 4,200 out of 8,000 people enjoyed the movie. Extrapolating this to the total viewers, the predicted number of people who enjoyed the movie would be: (4,200/8,000) x 500,000 = 262,500 people.

The answer would be D) yes; The transformation is a dilation that results in similar quadrilaterals by preserving angle measurements.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The original vertices of a quadrilateral are (-2,3), (4,6), (4,2), and (3, -2).

After a transformation, the new coordinates are (-1,1.5), (2,3),(2,1), and (1.5,-1).

As we know that dilation is a process for creating similar figures by changing the size.

This means that the two images are similar, as they have the same shape and size, despite having different positions and orientations in the coordinate plane.

Hence, the given transformation is a dilation that results in similar quadrilaterals by preserving angle measurements.

To learn more about the transformations click here :

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