When evaluating a complex expression which of the following rules should be followed

A - Evaluate from left to right

B - Evaluate from right to left

C- Evaluate using order of operations

D- Evaluate in any order

Answers

Answer 1

c : evaluate using order of operations ( pemdas )

Answer 2
Answer:

Option: C is the correct answer.

 C-   Evaluate using order of operations

Step-by-step explanation:

We know that while solving a algebraic expression we must follow the rule:

                       PEMDAS

whose full form is:

  Parenthesis , Exponents,Multiplication division addition and subtraction.

This means that parenthesis is to be solved first then the preference is given to the exponent, then division and multiplication are treated at the same level and the last preferred operation is addition and subtraction.

     Hence, the correct answer is:

          Option: C


Related Questions

Does This Table Represent a function? Why Or Why Not?

Answers

it is no because of A

Answer:  The correct option is

(A) No, because one x-value correspond to two different y-values.

Step-by-step explanation:  We are given to check whether the table represent a function or not.

From the table, we note that

the corresponding values of x and y in form of ordered pairs are

(x, y) = (2, 1), (2, 4), (3, 4), (4, 2) and (5, 5).

We know that a set of ordered pairs (x, y) represents a function of no value of x correspond to more than one one value of y.

But, in the given table, when the value of x is 2, then we are getting two different values of y, 1 and 4.

That is, one value of x correspond to two different values of y.

Thus, the given table DOES NOT represent a function, because one x-value correspond to two different y-values.

Option (A) is CORRECT.

At a basketball game, for every basket team A scored, team B scored 4 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is

(A) 1 to 3
(B) 2 to 3
(C) 1 to 4
(D) 4 to 1

Answers

c) 1 to 4
since Team A makes 1 basket while Team B 4 baskets (in response to that 1 basket)

You bought 5 pounds of hamburger meat, and you want to make quarter pounders (each weigh .25 of a pound). How many quarter pounders can you make? Show your work and explain your reasoning.

Answers

You can make 20 quarter pounders based on the information provided. You can show your work by dividing 5 by .25. You need to make both of these a fraction by doing 5/1 x 1/4. This leading you to get 20 making this your answer.

In this diagram how many points are coplanar with points A , B and R ?

Answers

thay are 2 point coplanar with point A,B and R

The points A , B and R are coplanar  with point C and E , Option B is the correct answer.

What is the meaning of Co planar ?

Two points are called co planar when they lie on the same surface , for example all the points in a circle are co planar.

In the given figure The points A , B and R are co planar  with point C and E , C and E are not co planar with each other .

Therefore Option B is the correct answer.

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The dimensions of a dollar bill are 6.125 inches by 3.375 inches. However, a dollar bill created 1891 to 1928 had dimensions of 7.3125 inches by 3.125 inches. Are the two dollar bills similar?

Answers

So, we need to set up a ratio

[tex] \frac{6.125}{3.375} = \frac{7.3125}{3.125} [/tex]
1.814 =2.34

Since these values are not equal, they are not similar

The two dollar bills are not similar because the ratios of their corresponding dimensions are not the same.

To determine if the two dollar bills are similar, we need to check if the ratios of the corresponding dimensions are the same.

The dimensions of the current dollar bill are 6.125 inches by 3.375 inches. The dimensions of the older dollar bill are 7.3125 inches by 3.125 inches.

Calculate the ratio of the length to the width for the current dollar bill: 6.125 / 3.375 ≈ 1.8148Calculate the ratio of the length to the width for the older dollar bill: 7.3125 / 3.125 ≈ 2.3400

Since the ratios (1.8148 and 2.3400) are not equal, the two dollar bills are not similar.

An electronis store had 20% off sale. If a sterreo originally cost 125, how much

Answers

20% percent refers to the rate
So to find 20% off of $125 you have to multiply the rate by the original price and then subtract that number from the original price
First you have to make the percent into a decimal. To do that you have to move the decimal point over to the left two times or divide by 100:
20/100= .20
So the equation would be:
.20 • 125= 25
Now you have to subtract from the original number:
125-25=100
So the answer would be that the stereo would cost 100 with the 20% off sale

Write 5 numbers that round to 360 when rounded to the nearest ten

Answers

360, 356, 364.71547154... , 359.99, and 360.1.

Triangle SBA has coordinate S(15,-8), B(-2,21), A(0,0). If the height of the triangle for the corresponding base sb is 8.89 units, then determine the perimeter and area of SBA.

Answers

Answer:

Perimeter of triangle = 71.72 unit.

Area of triangle = 149.44 unit²

Explanation:

 Distance between (a,b) and (c,d) = [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex].

 So we have  SB = [tex]\sqrt{(-2-15)^2+(21-(-8))^2}=\sqrt{1130} =33.62[/tex]unit

                       BA = [tex]\sqrt{(0-(-2))^2+(0-21^2)}=\sqrt{445} =21.10[/tex]unit

                       AS = [tex]\sqrt{(15-0)^2+(-8-0)}=\sqrt{289} =17[/tex]unit

 So perimeter of triangle = 33.62 + 21.10 + 17 = 71.72 unit.

  We have SB = Base = 33.62 unit and Perpendicular height = 8.89 units.

  Area = 0.5 x Base x Perpendicular height.

           = 0.5 x 33.62 x 8.89 = 149.44 unit²

Final answer:

The perimeter of the triangle SBA is approximately 66.91 units and the area is approximately 131.06 square units.

Explanation:

To find the perimeter of triangle SBA, we need to find the lengths of the three sides first. We can use the distance formula to calculate the length of each side. Using the coordinates of S(15,-8), B(-2,21), and A(0,0), we find that SB ≈ 29.47 units, BA ≈ 18.19 units, and AS ≈ 19.25 units. The perimeter is the sum of these three lengths, which is approximately 66.91 units.

To find the area of triangle SBA, we can use the formula: area = 1/2 * base * height. The base is the length of SB, which is approximately 29.47 units, and the height is given as 8.89 units. Plugging these values into the formula, we get the area ≈ 131.06 square units.

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Need help ASAP will give brainlest

Answers

The answer would be translitive because if a=b and b=c then a

Is equal to c

That’s why the answer is translitive

Have you learned about translitive

If yo haven’t then the other answer would be the zero product

The correct answer is c: the zero product property. The zero product property states that if ab=0, a=0 or b=0 or both equal 0. In this problem, a is (x+2) and b is (x+6) and you set each factor equal to 0. Hope I helped!

An angle measures 2.8° less than the measure of a complementary angle. What is the measure of each angle?

Answers

Answer:

  43.6°, 46.4°

Step-by-step explanation:

Let x represent the smaller angle. Then the complementary angle is (90°-x). The problem statement tells us the relation is ...

  x = (90°-x) -2.8°

  2x = 87.2° . . . . . add x, collect terms

  x = 43.6° . . . . . . divide by 2

Then the complementary angle is ...

  90°-x = 46.4°

The measures of the angles are 43.6° and 46.4°.

PL has endpoints P(4, −6) and L(−2, 1).

The segment is translated using the mapping (x, y) → (x + 5, y).

What are the coordinates of P’ and L’?
P’(9, -6), L’(-2, 1)
P’(4, -6), L’(3, 1)
P’(9, -6), L’(3, 1)☺
P’(9, -1), L’(3, 6)

Answers

I believe it'd be the one with the smiley emoji
Answer:P’(9, -6), L’(3, 1) would be the answer

i just took the assignment and the was correct

have a good day

What type of lines are these? Y = 2x + 4 and 2y = -4x + 10

Answers

ANSWER

The lines are two intersecting lines. They intersect` at the point [tex](\frac{1}{4}, \frac{9}{2})[/tex]


EXPLANATION


To determine which type of lines, we look for the slopes of the two lines and compare them to see whether they are parallel or perpendicular.


The first line is [tex]y=2x+4--(1)[/tex].


This line is already in the form;


[tex]y=mx+c[/tex], which is referred to as the slope intercept form, where [tex]m=2[/tex] is the slope.


The second line is

[tex]2y=-4x+10[/tex]


Dividing through by 2 gives;


[tex]y=-2x+5--(2)[/tex]


This implies that, this line also has a slope of [tex]-2[/tex].


Since the two slopes are not the same,the lines are not parallel.


Also the the product of the two slopes, [tex]-2\times 2 \ne -1[/tex], hence the two lines are  not perpendicular.



Adding equation (1) and (2) gives;

[tex]2y=9[/tex]


[tex]\Rightarrow y=4.5[/tex]


Putting [tex]y=4.5[/tex] in  equation (1) gives


[tex]4.5=2x+4[/tex]



[tex]\Rightarrow 0.5=2x[/tex]


[tex]\Rightarrow x=\frac{1}{4}[/tex].


Hence the two lines intersect` at the point [tex](\frac{1}{4}, \frac{9}{2})[/tex]








Given: ABCD ∥gram, BK ⊥ AD , AB ⊥ BD AB=6, AK=3 Find: m∠A, BK, AABCD

Answers

1. Consider right triangle ABK. The hypotenuse AB is 6 un. and the leg AK is 3 un. Since the leg is half of the hypotenuse, then the opposite to the leg angle is 30°. This means that m∠ABK=30°. Then m∠BAK=90°-30°=60°.

2. By the Pythagorean theorem,

[tex]AB^2=AK^2+BK^2,\\\\6^2=3^2+BK^2,\\\\BK^2=36-9,\\\\BK^2=27,\\\\BK=3\sqrt{3}\ un.[/tex]

3. Consider right triangle ABD. In this triangle AD is hypotenuse and m∠ADB=90°-m∠BAD=90°-60°=30°. Then the leg AB opposite to the angle 30° is half of the hypotenuse and AD=12 un.

4. The area of parallelogram is

[tex]A_{ABCD}=AD\cdot BK=12\cdot 3\sqrt{3}=36\sqrt{3}\ sq. un.[/tex]

below is the graph of f(x)= ln (x) how would you describe the graph of g (x) = 1/3 ln (x)

Answers

Graph of f(x)=ln(x) is missing but we can still answer this problem.

We just have to explain about what will happen if f(x)=ln(x) changes into g(x)=1/3 ln(x)

To find that compare both functions.

We see that ln(x) gets multiplied by 1/3 to produce graph of 1/3ln(x)

there multiplifaction factor 1/3 lies between 0 and 1.

Hence graph of f(x) will compress vertically by factor of 1/3 to produce graph of g(x).

So for the final answer we will write f(x) compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)

You can check attached file for more related rules

Answer:

compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)

Step-by-step explanation:

Use the graph below to answer the question that follows: trig graph with points at 0, 2 and pi over 2, 0 and pi, negative 2 and 3 pi over 2, 0 and 2 pi, 2 and 5 pi over 2, 0 and 3 pi, negative 2 What trigonometric function represents the graph?

Answers

[tex](0,\ 2);\ \left(\dfrac{\pi}{2},\ 0\right);\ (\pi,\ -2);\ \left(\dfrac{3\pi}{2},\ 0\right);\ (2\pi,\ 2);\ \left(\dfrac{5\pi}{2},\ 0\right);\ (3\pi,\ -2)\\\\\text{Look at the picture}\\\\Answer:\ \boxed{y=2\cos(x)}[/tex]

The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per day. There are 3.65 \cdot 10^23.65⋅10 2 3, point, 65, dot, 10, start superscript, 2, end superscript days in one year. How many times does the heart beat in one year?

Answers

Answer:

4.2*10^7

Step-by-step explanation:

Khan Academy

Final answer:

The human heart beats approximately 4.2 ⋅ 10^7 times in one year.

Explanation:

To calculate the number of times the human heart beats in one year, we need to multiply the average number of beats per day by the number of days in a year. The average human heart beats 1.15 ⋅ 105 times per day, and there are 3.65 ⋅ 102 days in one year. So, the number of times the heart beats in one year is:

1.15 ⋅ 105 times/day ⋅ 3.65 ⋅ 102 days/year = 4.1975 ⋅ 107 times/year

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What is the solution to the inequality? -2/3(2x - 1/2) ≤ 1/5x - 1 Express your answer in interval notation.

This is my answer and work, is this right? And how would I put this in interval notation.
-2/3(2x - 1/2) ≤ 1/5x - 1
2x – 1/2 ≥ 1/5x +3/2
2x ≥ 1/5x + 2
9/5x ≥ 2
x ≥ 10/9

Answers

ANSWER


[tex]-\frac{2}{3}(2x-\frac{1}{2})\le \frac{1}{5}x-1[/tex]


Multiply through by LCM of 15


[tex](15) \times -\frac{2}{3}(2x-\frac{1}{2})\le 15(\frac{1}{5}x-1)[/tex]





[tex] -10(2x-\frac{1}{2})\le 3x-15[/tex]



Expand brackets to obtain,



[tex] -20x+5\le 3x-15[/tex]



Group like terms



[tex] 15+5\le 20x+3x[/tex]




[tex] 20\le 23x[/tex]


[tex] \frac{20}{23}\le x[/tex]




[tex]x\ge \frac{20}{23}[/tex]


In interval form it is written as


[tex] [\frac{20}{23}, \infty)[/tex]







Final answer:

The correct solution to the inequality is x ≥ 20/23, written in interval notation as: [20/23, +Infinity).

Explanation:

In this mathematical inequality problem, your steps are correct until you get to -2/3(2x - 1/2) ≤ 1/5x - 1. Thereafter, however, your proceedings seem to be erroneous. Let's correct the steps:

First, distribute -2/3 to both 2x and -1/2 to get -(4/3)x + 1/3 ≤ 1/5x - 1. Second, we'll get rid of the fractions by multiplying the whole inequality by 15 (a common multiple of 3 and 5), resulting in -20x + 5 ≤ 3x - 15. Then, add 20x to both sides to get 5 ≤ 23x - 15. Lastly, add 15 to both sides, so we end up with 20 ≤ 23x, or in simplified form x ≥ 20/23.

So the solution to the inequality is x ≥ 20/23, which in interval notation would be written as: [20/23, +Infinity).

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A certain arithmetic sequence has this explicit formula for the nth term: an = 11 + (n – 1)(4) The same sequence has this recursive formula: an = an–1 + What number belongs in the blank space in the recursive formula?
a.15
b.11
c.3
d.4

Answers

Answer:

I would say D


Answer:

4

Step-by-step explanation:

A certain arithmetic sequence has this explicit formula for the nth term:

[tex]a_n = 11 + (n- 1)(4)[/tex]

Substitute n = 1

[tex]a_1 = 11 + (1- 1)(4)[/tex]

[tex]a_1 = 11 [/tex]

Substitute n =2

[tex]a_2 = 11 + (2- 1)(4)[/tex]

[tex]a_2 = 15[/tex]

[tex]d= a_2-a_1=15-11=4[/tex]

So,[tex]a_2=a_1+d=11+4=15[/tex] --1

Substitute n = 3

[tex]a_3 = 11 + (3- 1)(4)[/tex]

[tex]a_3 = 19[/tex]

[tex]a_3=a_2+d=15+4=19[/tex] ---2

So, with 1 and 2

Recursive formula : [tex]a_n=a_{n-1}+d[/tex]

Since d is 4

So, the number belongs in the blank space in the recursive formula is 4.

Use the order of operations to simplify this expression 4 + 0.8 x 1.5 - 3

Answers

You would use PEMDAS to solve this:

0.8 x 1.5 = 1.2

4 + 1.2 - 3

5.2 - 3

2.2 is your answer

Answer:

the answer is 2.2

What is the solution set of the equation using the quadratic formula:

x^2+2x+5=0

Answers

the answer should be {-2+4i,-2-4i}

Answer:

{-1-2i, -1-2i}

Step-by-step explanation:


Marcy job 0.8 mile on Wednesday and 0.9 mile on Thursday how far did she jog on the two days

Answers

Marcy jogged 1.7 miles total. Hope I could help!!

what expressions is the prime factorization of 360?

Answers

Answer,

Prime[1] = 2, Prime[2] = 3, Prime[3] = 5


Hope this helps :-)

Toni can carry up to 18 1b in her backpack. Her lunch weighs 1 1b, her gym clothes weigh 2 1b, and her books (b) weigh 3 1b each. How many books can she carry in her backpack?

Answers

First we find how much weight is in her book bag without any books.
1+2 = 3
Then we find how much weight left that she can carry.
18-3 = 15
Now we divide by the weight of each book to see how many she can carry.
15/3 is 5.
She can carry 5 books!

Solve for e.
9 e - 7 = 7 e-11

Answers

The answer you are looking for is e= -2

The equation 9e - 7 = 7e - 11 simplifies to e = -2.

To solve the equation 9e - 7 = 7e - 11, follow these steps:

First, move all terms involving e to one side of the equation and constants to the other side.Subtract 7e from both sides:9e - 7e - 7 = -112e - 7 = -11.Add 7 to both sides: 2e = -11 + 72e = -4.Finally, divide both sides by 2: e = -2

Thus, the value of e is -2.

What is the next term in the sequence below? -2, 4, -8, 16, -32,

Answers

the answer is,

-2, 4, -8, 16, -32, 64

Lea buys 6 model cars that each cost $15 she also buys 4 bottles of paint that each cost $11 how much does lea spends on model cars an paint

Answers

Times the price of the model cars to the amount bought.

$15×6= 90.

Lea paid 90 dollars for the model cars.

Now, multiply the price of the paint to the amount bought.

$11×4= 44.

Lea paid 44 dollars for the paint.

Add both together. 90+44= 134.

Therefore, Lea paid $134 for the model cars and paint all together.

hope this helps!

need help with these two questions.

Answers

Circumference varies directly with radius means:

[tex]\frac{C}{r} = k[/tex]

[tex]\frac{9.42}{1.5} = k[/tex]

6.28 = k

So, the new equation is:

[tex]\frac{C}{r} = 6.28[/tex]

[tex]\frac{C}{9} = 6.28[/tex]

[tex](9)\frac{C}{9} = (9)6.28[/tex]

C = 56.52

****************************************

paycheck varies directly with hours means:

[tex]\frac{P}{h} = k[/tex]

[tex]\frac{52.50}{6} = k[/tex]

8.75 = k

So, the new equation is:

[tex]\frac{P}{h} = 8.75[/tex]

[tex]\frac{P}{11} = 8.75[/tex]

[tex](11)\frac{P}{11} = (11)8.75[/tex]

P = $96.25

Determine the strongest classification for quadrilateral ABCD with vertices at A(1, 2), B(3, 5), C(5, 3), and D(2, 1). The quadrilateral is a because .

Answers

This is all i could come up with

The strongest classification for quadrilateral ABCD is that it is a parallelogram because its opposite sides are parallel.

To determine the classification of quadrilateral ABCD, we need to examine its properties and compare them to the defining traits of different types of quadrilaterals. One of the most effective ways to do this is by calculating the slopes of its sides and the lengths of its sides and diagonals.

Slopes of Sides:

We first find the slopes of each side of the quadrilateral using the coordinates of its vertices.

Slope of AB: (5 - 2) / (3 - 1) = 3/2

Slope of BC: (3 - 5) / (5 - 3) = -1

Slope of CD: (1 - 3) / (2 - 5) = 2/3

Slope of DA: (2 - 1) / (1 - 2) = -1

Lengths of Sides and Diagonals:

Next, we compute the lengths of the sides and diagonals using the distance formula.

Length of AB: √((3 - 1)² + (5 - 2)²) = √(2² + 3²) = √13

Length of BC: √((5 - 3)² + (3 - 5)²) = √(2² + 2²) = 2√2

Length of CD: √((2 - 5)² + (1 - 3)²) = √((-3)² + (-2)²) = √13

Length of DA: √((1 - 1)² + (2 - 1)²) = √(0² + 1²) = 1

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Select the point that is a solution to the system of inequalities

Answers

Answer:

The answer is (1,6) so its either A or C since they both have (1,6)

Step-by-step explanation:


I think the answer is both A and C since there the same so the answer is 1,6

LOTS OF POINTS!!!! URGENT!!!!
Describe the continuity or discontinuity of the graphed function.

Answers

Answer:

There are two discontinuities, one in the point (-2,2) and another on (-1,3).

Step-by-step explanation:

The discontinuity in (-2,2) is referred to as a removable discontinuity because this point is defined elsewhere.

The discontinuity in (-1,3) is called a jump discontinuity because it seems to "jump" from one point and continue at another.

At x=-2, point discontinuity
At x=-1, jump discontinuity
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