Find missing angles of the following

Answer:

8−5=3

Step-by-step explanation:

Part A: The student was supposed to divide before subtracting

Part B: The student was supposed to simplify the parentheses before finding the exponents

Part C: The simplification of the expression gives -16.

From the question, we are to simplify the given expression

The given expression is

(∛64 - 16 ÷ 2)(2 - 4)²

Part A:

The mistake the student made was not applying the PEMDAS rule

P - Parentheses

E - Exponent

M - Multiplication

D - Division

A - Addition

S - Subtraction

Since division comes before subtraction, the student was supposed to divide before subtracting

Part B:

The student mistake was trying to simplify the exponent before simplifying the parentheses. The student was supposed to simplify the parentheses before finding the exponents.

Part C:

Simplifying the expression

(∛64 - 16 ÷ 2)(2 - 4)²

Simplify the cube root

(4 - 16 ÷ 2)(2 - 4)²

Divide

(4 - 8)(2 - 4)²

Simplify the parenthesis

(-4)(-2)²

Simplify the exponent

(-4)(4)

Evaluating

-16

Hence, the simplification of the expression gives -16.

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The list shows the values of the changes in order, from least to greatest as Stock C, Stock A, Stock D, and Stock B which is the correct option (C).

Descending order is defined as when numbers (or other items) are arranged from the largest numbers to the least numbers, it is said to be in descending order.

Ascending order is defined as when numbers (or other items) are arranged from the least numbers to the largest numbers, it is said to be in ascending order.

We have been given four stocks during the day. The changes for the stocks are shown in the table.

-3/4, 0.7, -1, 0.2

Here the least numbers to the largest numbers, it is said to be in ascending order.

⇒ -1 < -3/4 < 0.2 < 0.7

Arrange the stock in increasing order.

Stock C, Stock A, Stock D, Stock B

Therefore, the list shows the values of the changes in order, from least to greatest as Stock C, Stock A, Stock D, and Stock B.

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Your question is incomplete, probably the missing part is:

Answer:

all of them are terminating decimals

Step-by-step explanation:

5/2=2.5

4/5=1.25

2/7=3.5

4/5=1.25

4/3=0.75

5/2=2.5

4/5=1.25

2/7=3.5

4/3=0.75

they are terminating decimals because they have a finite end

It's been a while but I think binomial. There are two nonzero terms, -4a3b5, and 3a2, making it a binomial.

The cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.

To find what is the rate of change in the cost to rent the bike with respect to the number of rent hours:

Therefore, the cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.

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The correct question is given below:

To rent a bike, Max pays a flat rate of $5 plus an hourly rental fee. The graph shows the amount, C, in dollars, that Max pays based on the number of hours, t, that Max rents the bike. What is the rate of change in the cost to rent the bike with respect to the number of rental hours?

(A) $5 per hour

(B) $2.50 per hour

(C) $2 per hour

(D) $7.50 per hour

Answer:

3. w = 4

4 . g = 8

5. q = 1

6. m = -3

7. z = -32

8. a = 6

9. h = 4

10. d = -16

11. y = 4

12. n = 4

13. v = 3

14. c = -2

Step-by-step explanation:

3). 3w + 7 = 19

3w = 12

w = 4

4). 2g - 13 = 3

2g = 16

g = 8

5). 11 = 12 - q

q + 11 = 12

q = 1

6). 10 = 7 - m

m + 10 = 7

m = -3

7). -4 * (5) = (z/-4 - 3) * -4

-20 = z + 12

z = -32

8). 3 * (a/3 + 4) = (6) * 3

a + 12 = 18

a = 6

9). 5 * ((h + 6)/5) = (2) * 5

h + 6 = 10

h = 4

10). -2 * ((d - 8)/-2) = (12) * -2

d - 8 = -24

d = -16

11). 8y + 3y = 44

11y = 44

y = 4

12). 36 = 13n - 4n

36 = 9n

n = 4

13). 12v + 10v + 14 = 80

22v + 14 = 80

22v = 66

v = 3

14). 6c - 8 - 2c = -16

4c - 8 = -16

4c = -8

c = -2

She would make $477 during a 7-day week

The given parameters are

There are 5 days in a weekday and 2 in a weekend

So, the total earning is

Total = Rate * [Weekday hours * 5 + Weekend hours * 2]

This gives

Total = $13.25 * [4 * 5 + 8 * 2]

Evaluate

Total = $477

Hence, she would make $477 during a 7-day week

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Answer:

189

Step-by-step explanation:

The difference between consecutive terms of an arithmetic sequence, known as the common difference  is given by
d = a(k) - a(k-1) where k = 1,2,3 ....n

We have the 5th term as a(5) = 9

The 6th term is 9 + d

The 7th term is 9 + 2d

The 8th term is 9 + 3d

Each successive term adds a d to the previous term

We have 8th term = 27

So 9 + 3d = 27
3d = 27 - 9   (subtract 9 from both sides)

3d = 18  

Divide above by 3 on both sides to get

d = 18/3 = 6  

So the common difference is 6

Let's figure out how to calculate the 31st term

We can see that the 5th term can be expressed as
9 + 0d = 9 + 0.6 = 9

The sixth term is
9 + 1d = 9 + 1(6) = 9 + 6 = 15

The seventh term is 9 + 2d = 9 + 12 = 21 and so on

Therefore the general equation for the nth term, given the 5th term

is
a(n) = a(5) + (n - 5)(6) 9 + 6(n - 5)

So the 31st term is

a(31) = 9 + 6(31-1)  9 + 6 x  30 = 9 + 180 = 189

Answer: 31st term is 189

Distance ran by Jake in a day is  17.33 miles.

It is given in the question that Jake ran 121.3 miles in a week. Also, Jake ran an equal number of miles each day.

We have to find the distance ran by him in a day.

Let the distance ran by him in a day be x miles.

We know that there are 7 days in a week.

Hence, according to the data given in the question, we can write,

Number of days in a week * distance ran in a day = total distance

Hence,

7*x = 121.3 miles

Solving the linear equation, we get,

x = 121.3/7 miles

x = 17.3285 ≈ 17.33 miles

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The coordinates of ABC are respectively (-1/3,1), (4/3,2/3), and  (0/3,5/3) .

Given a point P(x,y), its dilation about the origin by a scale factor of k maps the point to a point P'(kx,ky).

If we are given the dilated point, then we can find the original point by dividing by the scale factor.

Triangle ABC was dilated by a scale factor of 3 about the origin mapping it to triangle A'B'C' with vertices A'(-1/3), B'(4/,2), and C(0/-5).

The coordinates of triangle ABC are:

A=(-1/3,3/3) = (-1/3)

B=(4/3,2/3) = (4/3,2/3)

C=(0/3,-5/3) = (0/3,-5/3)

coordinates are formed by two components that are a latitude , giving the north-south position, and a longitude, giving the east-west position.

Therefore the coordinates of ABC are respectively (-1/3,1), (4/3,2/3), and  (0/3,5/3)

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The equation is 1.95+30+7.20+2/3(m-1.95-30-7.20)+38.50=m

The amount of money  Liza earned is $154.65

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

let the money she earn be m.

the remaining money = m-1.95-30-7.20

So, her total earning is,

1.95+30+7.20+2/3(m-1.95-30-7.20)+38.50=m

39.15+38.50+2/3(m-39.15)=m

77.65+2m/3-26.10=m

77.65-26.10=m-2m/3

51.55=(3m-2m)/3

51.55*3=m

m=$154.65

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The area of one wall of the room is 72 square feet.

The area of a square is given by -

A{S} = a²

where -

{a} is side of square.

Given is a square room has a floor area of 144 square feet. The height of the room is 6 feet.

It is given that -

floor area = 144

a² = 144

a = √(144)

a = √(12 x 12)

a = 12

The area of the wall will be equivalent to -

A{W} = h x a

A{W} = 6 x 12

A{W} = 72 square feet.

Therefore, the area of one wall of the room is 72 square feet.

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The answer is 12 cubic feet

You can add and subtract radicals by ensuring that they have same radical parts.

It should be noted that a radical expression is an expression that contains the radical symbol which is ✓.

The necessary steps to add or subtract radicals include:

Identify the radical parts.

Add them together.

If there's unlike radical parts, one will manipulate the parts involved before solving.

Example: Add ✓63 + 5✓7

It should be noted that ✓63 = ✓9 × ✓7 = 3✓7

Therefore, ✓63 + 5✓7 will be:

= 3✓7 + 5✓7

= 8✓7.

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The range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.

If we are given a mapping that represents a relation, the input values (x-values) make up the domain of the relation while the output values (y-values) make up the range of the relation.

In the mapping shown in the diagram attached below, we have the following:

The domain of the relation is: {-1, 0, 1, 2, 3}

The range of the relation is: {3, 5, 11, 21}

Thus, we can conclude that, the range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.

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The value of x from the given diagram is 64 degrees

A line is defined as the shortest distance between two points. From the given diagram, we have that the line AB bisects FAB, hence;

<FAB = <CAB = 58 degrees

Also since the sum of angles on a straight line is 180 degrees, hence;

58 + 58 + x = 180

116 + x = 180

x = 180 - 116

x = 64 degrees

Hence the value of x from the given diagram is 64 degrees

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Answer:

Step-by-step explanation:

The answer is 63

hope this helps :)

Answer:

4 inches.

Step-by-step explanation:

Since the shape is a square, each side length will be the same. This mean that you must find the square root of 36 to find the length of each side of the new square.

√36=6

Each side of the new square is 6. It says it was lengthened by 2 inches. Subtract 2 from 6.

6-2=4

Each side of the original square is 4 inches.

Hope this helps!

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Answer: 239,306 total registered doctors

Step-by-step explanation:

1. Form the ratio of amount of female doctors(41,400) to total amount of doctors(x) and compare it to percent of female doctors in the field(17.3) to total percent of doctors(100).

[tex]\frac{41400}{x}=\frac{17.3}{100}[/tex]

2. Cross Multiply the amount of female doctors(41,400) to the total percent of doctors(100) so that it stays equal to the percent of female doctors(17.3) to the amount of doctors(x).

[tex]41400*100 = 17.3x[/tex]

3. Simplify

        [tex]\frac{414*10^{4} }{17.3} = \frac{17.3x}{17.3}[/tex]

The driver B has the fastest typical race time.

It is required to find which driver's race times were the most variable.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

From the options presented, driver B has the fastest typical race time because he recorded the smallest time taken to complete an individual race.

Also from the standard deviation given 3.96  seconds  for driver B, it shows that the individual time spread from the standard deviation is minimal and that the driver maintained a fairly consistent time of race throughout the racing period.

Therefore, the driver B has the fastest typical race time.

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You will $0.29, if you will purchase 2 small bags of flour instead of 1 big bag.

For the given question;

The total cost of one big bag that is 10-lb bag of flour = $3.69.

Now, the cost of one small bag that is 5-lb = $1.55.

Thus, the cost for two small bag that is 5-lb = $3.10.

The difference in the cost = big bag cost - 2 small bag costs.

The difference in the cost = $3.69 - $3.10

The difference in the cost = $0.29.

Thus, you will save $0.29 for the purchase of 2 small bags of floor instead of one big bag.

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The equation of the line shown in the diagram is y = 0.5x+0.5.

A line is a mark connecting two points.

To calculate the equation of the line, we use the formula below

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the equation of the line shown in the diagram is y = 0.5x+0.5.

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Step-by-step explanation:

it grows exponentially.

a negative exponent like

n^-a

means only

1/(n^a)

-3 1/3³ = 1/27

-2 1/3² = 1/9

-1 1/3¹ = 1/3

0 3⁰ = 1

1 3¹ = 3

2 3² = 9

3 3³ = 27

so, 3^x comes from very small but positive values, and grows very fast (much faster than x itself and with ever increasing speed hence "exponentially") to very large and still positive numbers.