Round...
1.
Down
3.
24.263 to the nearest tenth.
5.
341.276 to the nearest hundredth.
299.61 to the nearest whole number.
4,123.499 to the nearest whole number.
7. 5.246 to the nearest hundredth.
6.

Answer:

what are the given options? :)

When two straight lines or rays intersect at a shared endpoint, an angle is generated. The measure of ∠3 is 31°.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

Given that ∠2 and ∠3 are supplementary angles. Therefore, the sum of the two angles will be 180°. Thus, we can write the sum of the two angles as,

∠2 + ∠3 = 180°

Also, it is mentioned in the question that the measure of ∠2 is 149°. Therefore, substitute the value of ∠2 in the above equation.

149° + ∠3 = 180°

∠3 = 180° - 149°

∠3 = 31°

Hence, the measure of ∠3 is 31°.

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The question's payroll (FICA) taxes total 0.2295.

Considering the information provided,

7.65% of payroll (FICA) taxes

Boss promises a minimum of 3 hours each week and not more than 18 hours.

We have, 3 × 0.0765

= 0.2295

Amount of payroll taxes that will be taken out of your paycheck.

= 0.2295

FICA Taxes: The Federal Income Contributions Act, also known as FICA, is the name of the payroll tax deduction used in the United States to pay for Social Security and Medicare. Tens of millions of seniors, Americans with disabilities, and children receive financial and medical benefits from those well-known government programs. Both employees and the employers they work for are jointly liable for FICA taxes.

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The cost for x rides is modeled by the linear function:

c(x) = $15 + $2.50*x

A table and a graph for that function are provided below.

Here we know that the entrance fee to the fair is $15, and the cost of each ride on the fair is $2.50

So, if you go to the fair and enter in x rides, the total cost for that will be modeled by the linear function:

c(x) = $15 + $2.50*x

Now let's find a table, to do that we just need to evaluate the function in some values of x, I will use x = 0, x = 1 and x = 2, we will get:

C(0) = $15 + $2.50*0 = $15

C(1) = $15 + $2.50*1 = $17.50

c(2) = $15 + $2.50*2 = $20.00

Then we can write the table:

Number of rides |||    Cost

      0                          $15

       1                          $17.50

       2                         $20.00

Now that we have the table, we just need to graph these 3 points on a coordinate axis, and connect them with a line.

The graph can be seen below.

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Answer:

You could measure the distance from both of the lasers and divide by 2 to know the middle of the line. Then draw a straight line from the middle of the line joining the lasers, to you.

The inequality given by 4x - 2 > 1/2 has the solution x > 5/8 or (5/8 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality 4x - 2 > 1/2, add 2 to both sides.

4x - 2 + 2 > 1/2 + 2

4x > 5/2

Multiply both sides by 1/4.

1/4(4x) > 1/4(5/2)

x > 5/8

To check, let x = 3/4

x = 3/4 ≥ 5/8

Substitute this value to the inequality.

4x - 2 > 1/2

4(3/4) - 2 > 1/2

3 - 2 > 1/2

1 > 1/2

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Answer:

after 4 years her salary would be $48,000

salary after t years: y=2000t+40000

Answer:mhmm cool b

Step-by-step explanation:

The cost of renting equipment is sometimes, always, or never proportional based on the prices attached.

It should be noted tha two sequences of numbers are proportional or directly proportional when their corresponding elements have a constant ratio. It should be noted that this is the coefficient of proportionality.

In this case, the reasoning here is that if all the items have different prices it won't be, however, if the items you are ordering all have the same price they will be proportional.

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The given situation presents a word problem and can be solved by converting the word problem into an equation.

Word problem is a few sentences representing a real-life scenario where a problem needs to be solved by method of a mathematical calculation.

According to the given situation:

Total number of bags – number of bags emptied=number of bags left

Total number of bags filled= b

Number of bags emptied=4

Number of bags left=6

Hence,

b-4=6

Solving the equation,

b=6+4

b=10

Note: The provided question does not include the options of equation. Possible options are:

4b=6; b+4=6; b/4=6; b-4=6

Hence, the equation used to determine the numbers of bags initially filled is b-4=6 and number of bags are 10 bags.

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The correct option is (B) 9/13.

The probability that it will not snow on Tuesday is 9/13.

The ratio of the quantity of favorable outputs to the overall number of possibilities of an event is defined as probability.

The number of favorable results for an experiment with 'n' outcomes is denoted by x.

The following formula is used to determine the probability of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n.

Some properties of the probability are mentioned below-

Now, for the stated question;

The probability that it will snow on Tuesday is 4/13.

Use property 1;

Then, the probability that it will not snow on Tuesday is;

= 1 - 4/13

= (13 - 4)/13

= 9/13

Therefore, the probability that it will not snow on Tuesday is 9/13.

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Answer: 2.223 billion years old

Step-by-step explanation:

since 71 percent of the rock is remaining, the half life hasn't been reached yet. Hence, we know uranium isn't 4.5 billion years old yet. However, every-time 4.5 billions years pass, the rock get smaller by 2 times(a scale factor of 1/2). Hence, you can express that in a log equation:

[tex]\log_{2}(100/(percent of rock remaining))=[/tex] Fraction of 4.5 billions years of time passed

[tex]\log_{2}(100/50)=1[/tex]   ==> 100% of 4.5 billion years passed. When 50% of rock remains, 4.5 billion years have passed.

[tex]\log_{2}(100/100)[/tex] =

[tex]\log_{2}(1)=0[/tex]   ==> 0% of 4.5 billion years passed. When the rock hasn't decayed at all yet, that means that it is 0 years old.

[tex]\log_{2}(100/71)=0.494[/tex]   ==> 49.4 % of 4.5 billion years passed

0.494*4.5 billion =2.223 billion years passed

2.223 billion years old

The equation in slope-intercept form is y = 4x + 1

Given,

Points (x, y) = (-1, 5)

Parallel to y = 4x - 5

Now,

Recall that a parallel line to the one given has to have the same slope. The slope of the line given is "4" (the coefficient that accompanies "x").

Therefore the equation of a parallel line has to be of the form:

y = 4x - b

5 = 4(-1) - b

5 = -4 - b

b = -4 - (-5)

b = -4 + 5

b = 1

So the equation now becomes:

y = 4x + 1

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Considering that the surface area and the volume of the cylinders are equal, the surface areas are given as follows:

14. 108π ft².

15. 250π ft².

For a cylinder of radius r and height h, the surface area is given by:

S = 2πr(h + r).

The volume is given by:

V = πr²h.

For item 14, the parameters are given as follows:

r = 6 ft, h = x ft.

Hence we solve for x equaling the surface area and the volume as follows:

V = S

36πx = 12π(x + 6)

3x = x + 6

2x = 6.

x = 3.

Hence the surface area is:

S = 12π(3 + 6) = 108π ft².

For item 15, the parameters are given as follows:

r = 10 ft, h = x ft.

Hence we solve for x equaling the surface area and the volume as follows:

V = S

100πx = 20π(x + 10)

5x = x + 10

4x = 10.

x = 2.5.

Hence the surface area is:

S = 20π(2.5 + 10) = 250π ft².

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Answer:

ue7e66eywgwgwgwjw7wh3he

Answer:

answer is 502.91

Step-by-step explanation:

answer is 502.91

Answer:

502.91

Step-by-step explanation:

The greatest number of comparisons each operation in the method add needs, given a binary search tree with n nodes and height h, is O. (h).

Computer scientists utilize the search method known as binary search to locate a target value within a sorted array. Binary chop, logarithmic search, and half-interval search are other names for it. The binary search compares the target value to the array's center member. If not, the half where the target cannot lie is eliminated, and the search is then carried out on the remaining half while once again comparing the center element's value to the target value. Up till the goal value is found, this process is repeated. if, at the end of the search, the remaining half is empty.

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Answer:

W=12cm

L=36cm

Step-by-step explanation:

We are told L=3W

and P=96

so 96=2⋅W+2⋅3⋅W

8W=96

so W=968=12cm

and L=3⋅12=36cm

hope this helps :)

Answer:

256

Step-by-step explanation:

According to the rule of exponents: 16 to the power of 2 can be written as 162.

Answer:

10^2 . . . . see below for additional information or versions of the answer(s)

Step-by-step explanation:

You seem to want 10^exponent, where exponent is an even single digit, not zero.

We choose exponent = 2, so your expression is ...

10^2

__

There are several versions of expanded form. One uses exponents. In that form, the expression above is the expanded form.

Another uses multipliers of 1, 10, 100, 1000, and so on. In that form, the expression expands as ...

10^2 = 1×100

Another expanded form uses individual digits of the expanded form with others set to zero

10^2 = 100

The standard form is ...

10^2 = 100.

_____

We suppose your exponential expression might have another multiplier, such as 2.98:

exponential expression: 2.98×10^2

standard form: 298

expanded form 1: 2×10^2 + 9×10^1 +8×10^0

expanded form 2: 2×100 +9×10 +8×1

expanded form 3: 200 + 90 + 8

9:28 would be the time the movie ends

Answer:

9:28

Step-by-step explanation:

First, add an hour to 7:45. Then, find how much time there is until you reach the next hour. After that, take the remaining time and add it on. 7:45 plus one hour is 8:45. There is fifteen minutes until the next hour, so subtract that from the forty three minutes. Add that fifteen minutes on and you are at nine o'clock. There is twenty eight minutes left. Add it in to nine o'clock. You now have the time the movie will end

Hope this helps! :)

The slope of the line that contains the given points A(0,6), B(4,0) is -3/2.

It is given in the question that the line contains the points A(0,6) and B(4,0).

We know that:-

The formula to find the slope of a line that contains points (a,b) and (c,d) is given by:-

m = (d-b)/(c-a)

Here, we have

m = slope of the line

(a,b) = (0,6)

(c,d) = (4,0)

Hence, putting the values of (a,b) and (c,d) , we get

Slope of the line that contains the given points A(0,6), F(4,0) is given by:-

(0-6)/(4-0) = -6/4 = -3/2

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The inequality that shows the number of visits she needs to make in order to get a free movie ticket is 7.5v + 70 ≥ 175

An equation is an expression that shows the relationship between two or more numbers and variables.

Let v represent the number of visits she needs to make in order to get a free movie ticket.

She needs at least 175 points for a free movie ticket. Hence:

7.5v + 70 ≥ 175

The inequality that shows the number of visits she needs to make in order to get a free movie ticket is 7.5v + 70 ≥ 175

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You can solve this by isolating the variable.

1.

30 + a = 40

You can isolate a by subtracting 30 from each side

30 + a - 30 = 40 - 30

a = 10

2.

500 + b = 200

Subtract 500 from each side

500 + b - 500 = 200 - 500

b = -300

3.

-1 + c = -2

Add 1 to each side

-1 + c + 1 = -2 + 1

c = -1

4.

d + 3567 = 0

Subtract 3567 from each side

d + 3567 - 3567 = -3567

d = -3567

Step-by-step explanation:

[tex]n = \frac{ - 5}{3} [/tex]

ATTACHED IS THE SOLUTION!!

........................................................................................

Answer:

Options 3 and 6

[tex]3i\sqrt{3} \\-3i\sqrt{3}[/tex]

Step-by-step explanation:

hope this helps

Answer:

y

=

1

2

x

−

5

Step-by-step explanation:

Answer:

y=x+5

Step-by-step explanation:

divide by 2 on each side