simplify 3 times 2 to the power of 4

Answer:

[tex]40\ \text{inches}[/tex]

Step-by-step explanation:

[tex]\theta[/tex] = Angle = [tex]5.7^{\circ}[/tex]

Let the vertical distance be is [tex]y=4\ \text{inches}[/tex]

horizontal distance be [tex]x[/tex]

So, slope is the tangent of the angle between the vertical and horizontal

[tex]\dfrac{y}{x}=\tan\theta\\\Rightarrow \tan5.7^{\circ}=\dfrac{4}{x}\\\Rightarrow x=\dfrac{4}{\tan5.7^{\circ}}\\\Rightarrow x=40.07\approx 40\ \text{inches}[/tex]

The horizontal distance for flared sides is [tex]40\ \text{inches}[/tex].

The horizontal distance for flared sides with a 4 inch vertical distance is 40.1 inches

Represent the horizontal distance with h, and the vertical distance with v.

The ratio of the vertical to the horizontal distance is given as: 5.7 degrees.

This means that:

[tex]\tan(5.7) = \frac{v}{h}[/tex]

Make h the subject

[tex]h = \frac{v}{\tan(5.7)}[/tex]

The vertical distance is given as 4 inches.

So, we have:

[tex]h = \frac{4}{\tan(5.7)}[/tex]

Evaluate tan(5.7)

[tex]h = \frac{4}{0.0998}[/tex]

Divide

[tex]h = 40.1[/tex]

Hence, the horizontal distance is 40.1 inches

Read more about vertical and horizontal distances at:

https://brainly.com/question/11956731

Answer:

C

Step-by-step explanation:

Equation of Function A is

y=2x+5

Equation of Function B is

y=2x-3

Answer:

x=3

Step-by-step explanation:

x+4=7

x=7-4

x=3

since y=4, we can substitute that value into the second equation. now x+y=7 becomes x+4=7. when we subtract three from both sides, we get that x=3. the ordered pair is (3,4)

Answer:

Simplified fraction: 5/2   Decimal: 2.5

Step-by-step explanation:

20/8 simplified is 5/2 which can also be said as 2 1/2 or 2.5.

(hope this helps)

Answer:

the anwser is 2.5

Step-by-step explanation:

Answer:

9/14

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Let suppose we have a point P(x, y) if we rotate our point 90 degrees counterclockwise about the origin, the new coordinates of the image of the point P can be obtained by switching 'x' and 'y' and making 'y' negative.

In other words,

P(x, y) → P'(-y, x)

From the given triangle ΔRST,

The coordinates of the point S is:

According to the rule, if we have a point S(10, 1), after rotations of 90 degrees counterclockwise about the origin, the new coordinates of the image of the point S(10, 1) will be:

S(10, 1) → S'(-1, 10)

Here,

S'(-1, 10)  is the image of the original point or pre-image point S(10, 1).

Therefore, the y-coordinate of the point S' is: 10

Complete Question

Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.

Answer:

1/2m + 45

Step-by-step explanation:

We are told in the question that:

On the drive home, she buys $45 worth of gasoline.

Her friend Melody pays for one-half the cost of the car rental only.

Sophie pays m dollars to rent a car for the weekend.

The amount sophie pays for car rental = m - 1/2m

= 1/2m

Therefore, the expression used to determine how much sophie spent is written as:

1/2 × $m + $45

1/2m + 45

Answer:

7 /10  0.7

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Answer:

7/10

Step-by-step explanation:

First, find the smallest possible denominator between the two fractions. The smallest one is 20.

Now, both denominators need to become 20. To get the 5 in 1/5 to become 20, it needs to be multiplied by 4. Whatever you do to the denominator, you must do to the numerator.

1 x 4 = 4

The first fraction is now 4/20.

To get the 4 in 2/4 to become 20, you must multiply it by 5. Whatever you do to the denominator, you must do to the numerator.

2 x 5 = 10

The second fraction is now 10/20.

Add the fractions. Keep the denominators the same and add the numerators.

4/20 + 10/20 = 14/20

Simplify by dividing both numbers by 2

7/10

m = 4/5 for the perpendicular line

m = -5/4 for the parallel line

y = -5/4x + 3

for the line above, m = -5/4

The line parallel to this line would have exactly the same slope m =  -5/4

The line perpendicular to this line would have a  slope equal the inverse with the opposite sign  

m = -5/4

So m = (1/(5/4)) is the slope of the m for the perpendicular line

m = 4/5

first part: put them equal to each other

6x - 25 + 4x = 45 + 3x - 7

10x - 25 = 38 + 3x

7x - 25 = 38

7x = 63

x = 9

second part: plugin

6x - 25 + 4x

6(9) - 25 + 4(9)

54 - 25 + 36

29 + 36

= 65

-- plugging this in one of the equation is enough, since both are the same.

final answer for the second part: 65

Answer:

A integer is number that can be written without a fractional or decimal component

Step-by-step explanation:

Answer:

An integer is a whole number. It doesn't matter whether it's positive or negative as long as its a whole number

(sorry if this doesn't make sense but I hope it helped)

Answer:

(1) The angle bisector of ∠TPR is 45⁰

(2) m∠QPR = 90⁰

(3) m∠TPS  = 45⁰

(4)  m∠QPV = 45⁰

Step-by-step explanation:

(1) The angle bisector of ∠TPR is 45⁰

(2) From the given figure, the m∠QPR is a right angle, thus m∠QPR = 90⁰

(3)  m∠TPS is a bisector of the right angle RT,  m∠TPS  = 45⁰

(4) m∠QPV = 180 - (∠SPR + ∠QPR) [sum of angles on a straight line]

    m∠QPV = 180 - (45 + 90)

    m∠QPV = 180 - 135

    m∠QPV = 45⁰

Answer:

Step-by-step explanation:

Given the formula for the geometric series expressed as;

[tex]\sum \left \{ {3} \atop {1}} \right 1.3(0.8)^{n-1}[/tex]

The nth term of a geometric progression is expressed as;

[tex]T_n = ar^{n-1}\\[/tex]

a is the first term

r is the common ratio

Comparing both equations;

[tex]0.8^{n-1} = r^{n-1}\\Cancel \ the \ powers\\0.8 = r\\r = 0.8\\[/tex]

Hence the value of r of the geometric series is 0.8

Answer:

A

Step-by-step explanation:

Just took test

Answer:

8) y = x/2 + 6

9) x = -(7/4)

Step-by-step explanation:

for (8), start with point-slope form and enter -2, 5, and 1/2 into the appropriate places:

y-5 = (1/2)(x- -2)

simplify by distributing (1/2)

y-5 = x/2 + 1

add 5 to both sides to get yourself in slope-intercept form

y = x/2 + 6

for 9, start by distributing the 3 and the 2

6x-12 = 10x-8+3

combine like terms

6x-12 = 10x-5

subtract 6x from both sides

-12 = 4x-5

add 5 to both sides

-7=4x

divide both sides by 4

-(7/4) = x

Answer:

x = 5 a/b - 3/b

Step-by-step explanation:

Answer:

5x+1+11y

Step-by-step explanation:

Answer:

one variable data table has only one input cell and many result cells. A two-variable data table has two input cells, but only one result cell. If you look at the bar graphs, histograms, and circle graphs, they all look at one variable at a time and display the number of times or percentage of times an individual point or interval is counted. These are displays for a one variable data set. Two variable data sets give measures of two attributes for each item in a sample. Such as - eye colour & hair colour, grade & gender.

Step-by-step explanation:

Hope it helps <3

Answer:

The length of the box is (x + 1)

The height of the box is (x + 1)

Step-by-step explanation:

The given function representing the volume of the box is presented as follows;

V = x³ + 6·x² + 9·x + 4

The function representing the width of the box, W = x + 4

Therefore, we have;

(x³ + 6·x² + 9·x + 4)/(x + 4) = x² + 2·x + 1

x³ + 4·x²

    [tex]{}[/tex]  2·x² + 9·x + 4

    [tex]{}[/tex]  2·x² + 8·x

    [tex]{}[/tex]               x + 4

Therefore, we have;

(x³ + 6·x² + 9·x + 4) = (x + 4) × (x² + 2·x + 1) = (x + 4) × (x + 1) × (x + 1)

(x³ + 6·x² + 9·x + 4) = (x + 4) × (x + 1) × (x + 1)

The width of the box = (x + 4)

The length of the box = (x + 1)

The height of the box = (x + 1).

Answer:

Step-by-step explanation:

To calculate simple interest use the following formula

Presentvalue(1+it)

where i=interest

t=time

We can easily plug in our values and solve for the answer

11180(1+0.043*3)

Put this into a calculator and get £12622.22

======================================================

Explanation:

The circumference of a circle is the distance around the full circle, aka the perimeter.

The formula for the circumference is

C = pi*d

where d is the diameter. The radius given is 6, so the diameter is 2*6 = 12.

The circumference, is therefore:

C = pi*d

C = pi*12

C = 12pi millimeters

---------

As a slight alternative, you can use this formula

C = 2*pi*r

with r = 6 as the radius

C = 2*pi*r

C = 2*pi*6

C = 2*6*pi

C = 12pi

We get the same answer as before.

id-k but here we go

have you seen things of circles and triangles and squares? This problem is just like this. You would probably identify the squares circles and triagnles as...well....traingles circles and squares. Well, we do that but with the variables.

The numbers with 'x' is one group. And the one without it is another group. So....take 'x3' and take the x9. Because they have the same variable.

x3 +  x9. (why we are adding is because it has nothing to drag with it and both of these numbers are positive)

x12!

Now do teh same with 15 and 3. Bring the plus and the subtraction sign with 3 and 15. We cant just leave them there. 15-3=12.

we have 12. this must equal 12!!!!!

Answer: hopefully, this is right i think its 5.873

Step-by-step explanation:

Answer:

Number 1 and 4

Step-by-step explanation:

To do this substitute the different values of x and y into the equations and see if they come out true or not.

1. (4, -3)

Put x = 4 and y = -3 into both equations:

2x + y = 5 --> 2(4) - 3 = 5 --> 8 - 3 = 5 --> 5=5 (true)

6x + 3y = 15 --> 6(4) + 3(-3) = 15 --> 24 - 9 = 15 --> 15 = 15 (true

So number 1 works

2. (2, 4)

Put x = 2 and y = 4 into both equations:

2x + y = 5 --> 2(2) + 4 = 5 --> 4 + 4 = 5 --> 8 = 5 (NOT true)

Number 2 does not work

3. (1, 3)

Put x = 1 and y = 3 into both equations:

2x + y = 5 --> 2(1) + 3 = 5 --> 2+ 3 = 5 --> 5 = 5 (true)

6x + 3y = 15 --> 6(1) + 3(9) = 15 --> 6 + 27 = 15 --> 33 = 15 (not true)

Number 3 does not work

4. (0, 5)

Put x = 0 and y = 5 into both equations:

2x + y = 5 --> 2(0) + 5 = 5 --> 5 = 5 (true)

6x + 3y = 15 --> 6(0) + 3(5) = 15 --> 15 = 15 (true)

Number 4 does work

Number 1 and number 4 are the answers.

Answer: 8 Hours to finish her homework.

Step-by-step explanation: We know each page, or 1 page takes 1 hour to finish. We want to know how many hours it would take to take finish 8 pages of homework. To find this, simply multiply 1 by 8. (1 hour per page, or 1 hour for each of the 8 pages.)

1 x 8 = 8.

So it will take Meredith 8 hours to finish her homework.

Answer:

it will take 8 hours if you mean one page an hour

Step-by-step explanation:

mark me brainliest pls

Answer:

42$

Step-by-step explanation:

Answer:

120 miles per hour

total time 3 hours

120 x 3= 360

the plane travels 360 miles

Step-by-step explanation:

Answer:

Someone calculated his or her average speed to 7.46 Miles per hour (mph) This calculation will help you calculate your average speed when you have covered a certain distance over a certain time.

Step-by-step explanation:

The re sults your produce from the speed calculator input will come out in a variety of forms You can also find a report on your speed in terms of kilometres per hour, meters per minute and metres per second. There is also a report on the time it takes you to travel certain distances. This report shows you min:sec per kilometre, seconds per 100 .

9514 1404 393

Answer:

  1) see below

  2) 2.5 inches per day

  3) the seed was planted below ground level

  4) h = 2.5d -3

Step-by-step explanation:

1) We note that the seedling grew 12-7 = 5 inches in the 2 days between day 4 and day 6. This lets us fill in the numbers for even days by adding or subtracting 5 inches:

  day 8 will be 5 inches more than day 6, 17 inches.

  day 2 will be 5 inches less than day 4, 2 inches.

  day 0 will be 5 inches less than that, -3 inches.

The value for day 3 will be halfway between day 2 and day 4, so will be (2+7)/2 = 4.5 inches.

See the attachment for the complete table.

__

2) In one day, the plant grows in/day = 5/2 = 2.5 inches.

__

3) If the plant grows at the steady rate of 5 inches in 2 days, it must have been planted 3 inches below ground on day 0.

__

4) In question 2, we found the rate per day (slope) to be 2.5. In question 3, we found the "y-intercept" to be -3. Then the slope-intercept equation with independent variable d and dependent variable h is ...

  h = 2.5d -3