Provide the correct reason for the statement in line 4. (please help)

Answer:

i) 62

ii) 92

iii) 28

Step-by-step explanation:

i) 19+23+20

=62

ii) 23+9+9+7+19+5+20

=92

iii) 120-23-9-9-7-19-5-20

or

120-92

=28

Answer:

I think the answer would be 33

Based on the given bases with powers, the sign of (-2)³  is negative.

The sign of (-3)² can be found to be positive.

The justification for the signs can be found below.

When multiplying two negative numbers, the result would be a positive number. When multiplying positive number by a negative number, the result would be negative.

(-2)³ is the same as -2 x -2 x -2 which is:

= -2 x -2 x -2

= 4 x -2

= -8

4 became positive but then became negative when multiplied by another -2.

  (-3)² is 3 x 3:

= 3 x 3

= 9

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The measure of the corresponding angle; ∠UZP = 95°.

For the given question;

Lines TU || RQ || VW are parallel.

The measure of the ∠RPZ= 95.

Thus, from the diagram,

∠UZP = ∠RPZ= 95

As both angles are corresponding angle so equal.

Therefore, the measure of the ∠UZP = 95°.

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Work Shown:

12 eggs = 3 dollars

12/12 eggs = 3/12 dollars

1 egg = 0.25 dollars

1 egg = 25 cents

Answer:

.25 cents

Step-by-step explanation:

3/12= .25

.25 x 12= 4.00

Answer:

Step-by-step explanation:

Divide data A by data B to find your ratio. In the example above, 5/10 = 0.5. Multiply by 100 if you want a percentage. If you want your ratio as a percentage, multiply the answer by 100.

Answer:

221

Step-by-step explanation:

Interest goes up 5 dollar each year

The formula of the volume of a rectangular prism

we substitute the values given

l=length= 1/3cm

w=width=1/2cm

h=height=1/4cm

Factorization of the  given equation : 6x² + 7x +2 is equal to

(2x +1 ) ( 3x +2 ).

As given in the question,

Given equation is

6x² + 7x +2

Using the sum and the product pattern we get

Product of extreme terms is 6 × 2=12

Factors of 12 are 1, 2, 3, 4, 6,12

4 ×3=12(product of extreme terms)

4 +3 = 7(middle term)

Factorize the equation by splitting  middle term

6x² +7x +2

=6x²+ 4x +3x +2

=2x( 3x+2)+1(3x+2)

=(2x+1)(3x+2)

Therefore, factorization of the  given equation : 6x² + 7x +2 is equal to

(2x +1 ) ( 3x +2 ).

The complete question is :

Factorize the given equation : 6x² + 7x +2 .

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The most appropriate choice for probability and profit will be given by:

Expected monetary value is $15800

What is probability and profit?

Probability of an event is the chance of occurance of that event.

Probability can be obtained by Number of favourable outcomes divided by the total number of outcomes

Probability varies from 0 to 1.

If the selling price of an item is more than its cost price, difference between the selling price and the cost price gives the profit.

Profit if consumer demand is low = $3000

Profit if consumer demand is moderate = $19000

Profit if consumer demand is high = $31000

Probability of low demand = 35%

Probability of moderate demand = 45%

Probability of high demand = 20%

Expected monetary value = $([tex]3000 \times \frac{35}{100}+19000 \times \frac{45}{100}+ 31000 \times \frac{20}{100}\\[/tex])

                                           = $([tex]1050 + 8550+6200[/tex])

                                           = $[tex]15800[/tex]

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The trigonometry ratios are

AD = 31

AK = 24

Since we do not have the length of KD, then

The value of sinD and cosK are wrong

Let us find tanD and tanK to check which one is right

But the given value is 31/24, then tanD is wrong

It is the same with the given value

The correct option is C

The statement says that Kristen read a total of 18 books over 3 months.

And then ask us to calculate the numbers of books that he will read in a period of 5 months.

In order to calculate that, we must determine first how many books Kristen read in a month.

# of books that Kristen read in a month = 18 books / 3 months = 6 books / month

So, in order to calculate the number of books that Kristen read in 5 month, we just multiply:

5 months * 6 books/month = 30 books (answer)

The Square root of 225 is 15

The act of repeatedly subtracting is called division. It functions in the opposite way to how multiplication works. Forming equal groups is how it is described. When dividing numbers, we split a larger number into smaller ones so that the product of the multiplication of those smaller numbers equals the larger number that was divided. As an illustration, 4 2 = 2. This knowledge can be expressed as the multiplication 2 x 2 = 4.

Given that :Square root of 225

225  = 3 × 75

225 = 3 × 3 ×25

225 = 3 ×3 × 5 ×5

225 = 3² × 5²

225 = (3 × 5)²

225 = 15²

√225 = 15

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Velocity differs from speed. Distance divided by time is the dimension of speed.

The speed of the vehicle while driving from home to the lake was 50 miles per hour.

From Home to Lake,

Let the speed of driving be 'x' miles per hour,

Time taken = 2 hours

Speed = Distance/Time

⇒ Distance = Speed x Time = 2x ..................(1)

From Lake to Home,

Distance will be the same (as the same route is taken),

Speed = (x-25) miles per hour

Time = 2 + 2 = 4 hours

So, Distance = Speed x Time = 4(x-25) ....................(2)

On equating (1) and (2),

2x = 4(x-25)

simplifying the above equation, we get

⇒ 2x = 4x - 100

⇒ 4x - 2x = 100

⇒ 2x = 100

⇒ x = 100/2

⇒ x = 50

Therefore, the speed of the vehicle while driving from home to the lake was 50 miles per hour.

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Very unlikely to occur

1) In this problem, let's find the binomial probability of that event to take place.

2) Note the binomial probability of that event happening is very very low.

3) So we can state that this event is very unlikely to occur

The sequences are :

a. 2 , 16 , 18 , 54 , 162  is Geometric progression

Three terms : 486, 1458, 4374.

b. 1, 6 , 11, 16, 21  is arithmetic  progression

Next three terms  26, 31., 36..

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Answer: 6000 at 3% and 22000 at 6%

Step-by-step explanation:

x + y = 28,000

0.3x + 0.6y = 1500

multiply everything in the first equation by 0.3 since we want to be able to eliminate the variable x from both equations.

0.3x +0.3y = 840  then subtract second equation to just get one variable

0.3x + 0.6y =1500

-0.3y = -660

y = 22000

28000 - 22000 = 6000 which is x

So 6000 is  invested at 3% and 22000 is at  invested at 6%

By estimating the linear inequality, the possible numbers of hours the chemistry club could rent the meeting room exists 9 hours.

In mathematics, an expression with uneven sides is referred to as an inequality. When a relationship leads to a non-equal comparison between two expressions or two numbers, it is referred to as an inequality in mathematics.

In this case, the equal sign "=" is replaced with any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol ().

Strict inequalities are denoted by the symbols "" and ">," whereas slack inequalities are denoted by "" and "". A linear inequality has the same appearance as a linear equation, but uses a different symbol to link the two expressions.

To rent a certain meeting room, a college charges a reservation fee of $19 - 16 and an additional fee of $6 per hour. The chemistry club wants to spend at most $67 - 70

Given that, college charges a reservation fee of $19 and an additional fee of $6 per hour.

The chemistry club wants to spend at most $67.

To estimate the possible numbers of hours the chemistry club could rent the meeting room:

The governing inequality is

19 + 6t < 67

The solution is

t < (67-19)/6

simplifying the above equation, we get

t = 8 hours.

Therefore, the value of t = 8 hours.

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Answer:

105 and five kids can attend

Step-by-step explanation:

12 divide by 4=3

this means that 3 groups of kids can go

so 35 x 3=105

therefore

Answer:

105 and five kids can attend

Step-by-step explanation:

12 divide by 4=3

this means that 3 groups of kids can go

so 35 x 3=105

So the answer is 105

Answer:

[tex]2x^2+7x+46[/tex]

Step-by-step explanation:

[tex](x^2+10+24)+(x^2+7x+12) \\ \\ =x^2+34+x^2+7x+12 \\ \\ =2x^2+7x+46[/tex]

Gross salary of an individual is $150 000 a year if they pay a tax of 30% then net salary is equal to $8750 per month and $105000 per year.

As given in the question,

Gross salary of an individual is $150 000 a year

Percentage of tax on gross salary =30%

Amount of tax is equal to

= 30% of $150 000

= (30/100)× 150 000

= $45000

Net salary per year

= $(150 000 - 45000)

= $105000

Net salary per month

= $(105000/12)

= $8750

Therefore, gross salary of an individual is $150 000 a year if they pay a tax of 30% then net salary is equal to $8750 per month and $105000 per year.

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(a) 291/2020

Divide the total for the 10-14 year column by the total.

(b) 77/465

There are 465 people from the east, 77 of which were loyal for 10 to 14 years

(c) 437/1010

There are 291+583=874 people who were loyal for at least 10 years. Divide this by the total of 2020 people.

(d) 145/376

376 people are from the West, (45+100)=145 of which are at least 10.

(e) 32/157

157 people were loyal for less than a year, 32 of which were from the East.

(f) 53/157

157 people were loyal for less than a year, 53 of which were from the South.

(g) 433/465

465-32=433 people were loyal for at least 1 year out of the 465 people from the East.

(h) 335/376

376-41=355 people were loyal for at least 1 year out of the 376 people from the West.

Answer:

h(1)=h(1-2)+h(1-1)

h(1)=h(-1)+h(0)

h(-1)-h(-1)=0

h(0)=h(0)

The inequality that is represented by the number line is C. x ≤ 7.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line. A difference between two values indicates whether one is smaller, larger, or simply not equal to the other.

It should be noted that from the number line, we can see that the arrow starts from -7 and then moves backwards. This shows that it's x ≤ 7.

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In the graph we can see that the person wrote 300 words after 4 minutes. so the rate is:

75 words per minute

For 13,089 - the value of the digit 1 is ten thousand or 10,000

For 30,124 - the value of the digit 1 is one hundred or 100

Therefore:

Answer: the value of the digit 1 in 13,089 is 100 times greater than the value of the digit 1 in 30,124

Answer: 64 is the answer

Step-by-step explanation:

I had a question like this and got it right! Hope this the correct answer for you!

well, we know that the regular price is 320 bucks, but is discounted by 20% so

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 320}}{\left( \cfrac{20}{100} \right)320}\implies 64~\hfill \underset{\textit{discount price}}{\stackrel{320~~ - ~~64}{\text{\LARGE 256}}}[/tex]

Answer:

A'B' is 1.5 units long and lies on the same line as AB.

Step-by-step explanation:

If AB = 3 units, BC = 2 units and a scale factor of 0.5 is applied, then A'B = 3*0.5 = 1.5 and B'C = 2* 0.5 = 1. Given that the point B is taken as the center of dilation then, segments A'B lies on the same line as AB and B'C lies on the same line as BC.