A graphic artist is designing a poster to advertise an upcoming event. The only restrictions regarding the poster size is that it must have a length of 6x6x inches and a width of 8x+28x+2 inches. Find a simplified expression for the area of the poster.

Answer:

where is the graph

Step-by-step explanation:

maybe I could do this

Answer:

19.55 $

Step-by-step explanation:

3.45$×10=34.5=150% of his money overall

34.5÷3=11.5

11.5×2=23= 100% of his money

23-15%=19.55$

$23

Step-by-step explanation:

15% of x = 3.45

= 15/100 = 3.45/x

x= 23

Answer:

First Graph: the function is symmetrical around y axis -> Even

Second Graph: the function is neither

Step-by-step explanation:

hope it helps.

Answer:

A

Step-by-step explanation:

The largest  possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'

Scale drawing involves drawing a drawing in a different size and dimension that is proportional to the original dimension

The dimensions of the design for the farm scene painting is given as:

\(12" \times 9"\)

The dimensions of the wall is given as:

\(24' \times 16'\)

Convert feet to inches

\(24' \times 16' = (24 \times 12") \times (16 \times 12")\)

\(24' \times 16' = (288") \times (192")\)

Divide the dimensions of the wall by the painting to get the scale ratios (k)

\(k = \frac{288}{12}\)

\(k = 24\)

Also, we have:

\(k =\frac{192}{9}\)

\(k =21.33\)

Remove decimal (do not approximate)

\(k =21\)

By comparison;

21 is less than 24

Multiply 21 by the dimensions of the painting

So, we have:

\(Length = 12 \times 21 = 252\)

\(Width = 9 \times 21 = 189\)

Hence, the largest  possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'

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Answer:

Correct

Step-by-step explanation:

The answer above is right.

Elvira's walking speed is 5 miles per hour, and Aletheia's walking speed is approximately 4.17 miles per hour.

Let's denote Elvira's walking speed as x (in miles per hour).

Then, Aletheia's walking speed is x - 0.6 (since she walks 0.6 miles per hour slower than Elvira).

We know that Elvira walked to the coffee shop in half an hour, covering a distance of 2.5 miles.

This means her speed can be calculated as:

x = distance / time = 2.5 miles / 0.5 hours = 5 miles per hour

Now, we can find Aletheia's speed using the equation we found earlier:

x - 0.6 = Aletheia's speed

We also know that Aletheia walked to the coffee shop in three-fifths of an hour (which is 0.6 hours), covering the same distance of 2.5 miles.

This means her speed can be calculated as:

x - 0.6 = distance / time = 2.5 miles / 0.6 hours ≈ 4.17 miles per hour

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Answer:

d. 28

Step-by-step explanation:

7x = 3x + 16

subtract 3x from both sides: 4x = 16

divide both sides by 4: x = 4

plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28

The probability that the sum of the two dice is less than 4 is 3/36, which simplifies to 1/12.

Dice probability refers to the likelihood of a certain outcome when rolling one or more dice. The probability of rolling a particular number on a fair six-sided die, for example, is 1 in 6 or approximately 16.67%. The probability of rolling any number from 1 to 6 on a single die is always the same since each face has an equal chance of landing face up.

Given by the question.

To finds the probability that the sum of the two dice is less than 4, we need to list all the possible outcomes when Cindy throws one red and one blue dice, and then count the number of outcomes that satisfy the condition.

Possible outcomes when throwing two dice:

Red Blue

1 1

1 2

1 3

1 4

1 5

1 6

2 1

2 2

2 3

2 4

2 5

2 6

3 1

3 2

3 3

3 4

3 5

3 6

4 1

4 2

4 3

4 4

4 5

4 6

5 1

5 2

5 3

5 4

5 5

5 6

6 1

6 2

6 3

6 4

6 5

6 6

There are 36 possible outcomes when throwing two dice.

Outcomes where the sum of the two dice is less than 4:

Red Blue

1 1

1 2

2 1

There are 3 outcomes where the sum of the two dice is less than 4.

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The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

A

Step-by-step explanation:

the equivalent pair of expression are 2(x+5)and 2x+10

Answer:

The estimate of the proportion of new car buyers who prefer foreign cars is 0.24.

Step-by-step explanation:

We find the estimate of the proportion from the sample, as it is a large sample.

Suppose a sample of 2676 new car buyers is drawn. Of those sampled, 642 preferred foreign over domestic cars.

So

\(\pi = \frac{642}{2676} = 0.24\)

The estimate of the proportion of new car buyers who prefer foreign cars is 0.24.

Answer:

$4.40.

Step-by-step explanation:

$27.50 × 16/100

=$4.40

In sine and cosine functions, we have the following forms:

Where A is the amplitute, 2π/B is the period, C is the phase shift and D is the vertical shift.

By comparison, we can see that:

Then, the phase shift is 45°, the vertical shift is 2.

The vertical shift is the same as the middle horizontal axis of the function, so we know that the middle of the function is y = 2. The amplitute is how many units the function varies up and down from the middle. Since the Amplitute is 1, the function varies from 2 - 1 to 2 + 1, that is, it varies from 1 to 3. So, the range of the function is:

Answer:

Anything above 9

Step-by-step explanation:

63/7=9

The product of the numbers 758 and 93 is 70494

The numbers are given as

758 x 93

By using the standard algorithm i.e. the partial product method, we have the following equation

758 x 93 = 758 x (90 + 3)

Open the bracket

So, we have the following equation

758 x 93 = 758 x 90 + 758 x 3

Evaluate the products

758 x 93 = 68220 + 2274

Next, we evaluate the sum

758 x 93 = 70494

This means that the final product is 70494

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Multiply 3 with x - 2 on LHS and 3 with 2 - x on RHS

Now take -3x to LHS and change its symbol to +. And take 6 to RHS and change it to negative.

-3x and 3x will cancel out and also 6 and -6 will also get cancelled out.

Answer:

x = 0

Hope you could understand.

If you have any query, feel free to ask.

The simplified form of the expression is \(-32\).

To simplify the expression, we can perform the calculations written below step by step:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)

We follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses:

\(\(4+6 = 10\)\).

Step 2: Perform multiplications and divisions from left to right:

\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).

Step 3: Evaluate the remaining additions and subtractions:

\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).

Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)

When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.

Finally, review the simplified expression to ensure accuracy and validity within the given context.

Note: The complete question is:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.

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the expression is g(x)= 4x^2+3

g(x+h) = 4(x+h)^2+3

substitute the values in the given formula.

solve the expression.

The term 4h^2 is too small. so we can neglect it.

So the answer is 8x.

Answer:

6.47 i THINK . or just use a search engine .

Step-by-step explanation:

i just divided 32.35 by 5

Answer:

6.47 thank me

Step-by-step explanation:

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

Answer would be $6 for 5.

Step-by-step explanation:

I think its the better offer because you could get 5 mangoes for $6. Even tho it is pricey, you get more mangoes. Hope it helps!

Given:

Values of diagrams are given.

The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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Answer:

The answer is 1

Step-by-step explanation:

Anything to the zero power is 1

Answer: 2.44 miles.

Step-by-step explanation:Answer:

2.44 miles

Step-by-step explanation:

Give the following :

Average miles to school = 12 miles per hour

Average Miles from school = 15 miles per hour

Total ride time : ( time to school + time from school) = 22 minutes = (22/60) = 0.3667

Recall:

Speed = distance / Time

Time = distance / speed

Let distance = d

For the scenario described :

d/12 + d/15 = 0.3667

(5d + 4d) / 60 = 0.3667

5d + 4d = 22

9d = 22

d = 22/9

d = 2.44 miles

Answer:

1.2974634e+14

Step-by-step explanation:

ye

The differential equation representing the model of the number of words memorized by the students is equal to option C. dL/dt = k(100 - L).

Let us consider function 'L' represents the number of words memorized at time 't'

Total number of words students asked to memorized = 100 words

Rate of change of number of words with time 't' is equal to ( dL/dt )

Number of words left to memorized by the students = 100 - L

Differential equation representing the situation is

= Rate of change of number of words memorized ∝ number of words left to memorized

= dL/dt ∝ ( 100 - L )

⇒ dL/dt = k( 100 - L )

Where 'k' is the constant of proportionality .

k is a positive number.

Therefore, the differential equation representing the situation of memorizing word is given by option c. dL/dt = k( 100 - L ).

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The above question is incomplete, the complete question is:

Students are asked to memorize a list of 100 words. The students are given periodic quizzes to see how many words they have memorized. The function L gives the number of words memorized at time t. The rate of change of the number of words memorized is proportional to the number of words left to be memorized.

1. Which of the following differential equations could be used to model this situation, where k is a positive constant?

A. dL/dt = kL

B. dL/dt = 100 - kL

C. dL/dt = k(100 - L)

D. dL/dt = kL - 100