Evaluate the expression for the given value of the variable.
46 + 1/5r
r = -1/2

Answer:

13-13i

Step-by-step explanation:

2(5+i)-3i(5+i)

10+2i-15i-3i²

10-13i+3

13-13i

Answer:

Alex is reading faster by 5 more pages per hour.

Step-by-step explanation:

Alex's rate of reading is 1/2 pages per minute, or 1 page every 2 minutes. To convert his rate to pages per hour, we can divide 60 (minutes in an hour) by 2 (minutes it takes Alex to read a page) which is equal to 30 (pages read in an hour). Therefore, Alex is reading at 30 pages an hour and reading 5 more pages an hour than Sammie.

Answer:

b) The slope of line is 20

c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

d) i) she would have travelled 1480 m after 74 s

ii) It will take 125 s to travel 2.5 km

Step-by-step explanation:

Part b: Slope of Line

Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table we can take any two points and find the slope.

Looking at the graph, the time is x-axis and distance is y-axis

Let we take (0,0) and (8,160)

So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]

Now finding Slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]

So, the slope of line is 20

Part c) Find the equation in slope-intercept form

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

We have found slope, m = 20

We need to find y-intercept.

y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:

So, when x =0, y=0

So, y-intercept = 0

The equation will be:

[tex]y=mx+b\\y=20x+0\\y=20x[/tex]

The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

Part d)

Part i) How far will she have travelled after 74 s

We are given time (x) = 74 s

We need to find distance i.e. y:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Put x = 74

[tex]y=20x\\y=20(74)\\y=1480[/tex]

So, she would have travelled 1480 m after 74 s

Part ii) How long will it take to travel 2.5 km

We are given distance (y) = 2.5 km

We need to find time i.e. x:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Since distance is given in meters but here it is in km

So converting 2.5 km into m

We know that 1 km = 1000m

So, 2.5 km = 2500 m

Now finding time:

[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]

So, It will take 125 s to travel 2.5 km

Answer:

306

Step-by-step explanation:

Answer:

C= 37.69ft

A= 113.09ft

Step-by-step explanation:

Circumference=

=37.69

Area=

Area = pi * 6 ^2

Area =113.09

Answer:

360 - 60 = 300

x = 300

Step-by-step explanation:

Answer:

x = 4, y = 3

Step-by-step explanation:

Answer:

[tex]\mathrm{A.\:}x+2y=a[/tex]

Step-by-step explanation:

In standard form [tex]ax+by=c[/tex], any point the line passes through will make the inequality true. We can simply use any point given to find the equation of the line:

We can write the following system of equations from two points from the table:

[tex]\begin{cases}d\cdot3a+e\cdot(-a)=f\cdot a\\d\cdot5a+e\cdot(-2a)=f\cdot a\end{cases}[/tex]

Solving, we get:

For [tex]a \notin 0[/tex],

[tex]d=1,\\e=2,\\f=1[/tex]

Therefore, our equation is:

[tex]dx+ey=fa,\\1x+2y=1a,\\\fbox{$x+2y=a$}[/tex].

Answer:

Step-by-step explanation:

this is an equation because it has an equal sign,

expressions do not have an = sign

Answer: Equation

Step-by-step explanation: This is an example of an equation.

Equations are mathematical sentences that contains an equals sign.

Answer:

The domain D = {0, 1, 2, 3, 4, 5}

The range R = {3, 4}

Step-by-step explanation:

Given the ordered pairs or points on the graph

{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.

Thus,

The domain D = {0, 1, 2, 3, 4, 5}

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.

Thus,

The range R = {3, 4}

Note: Please note that the duplicated elements in the range are written only once.

Answer:

It can be represented by the expression 2r, or “two times the radius.” So if you know a circle's radius, you can multiply it by 2 to find the diameter; this also means that if you know a circle's diameter, you can divide by 2 to find the radius. Find the diameter of the circle.

Step-by-step explanation:

you'r welcome :)

Answer:

Sales price = $78

Original price = $61

Step-by-step explanation:

Ulian bought the shows for $120 at a specialty store. This discount store had it at $42 less. The price at the discount store is therefore:

= 120 - 42

= $78

The shoes at the discount store are 61% off and the discounted price is $78. Assume the original price is x. The original price will be:

x - (x * 61%) = 78

x - 0.61x = 78

0.39x = 78

x = 78/0.39

x = $200

58

a right triangle is 90 degrees so you subtract 32 from 90 to find the remainder

Answer:

The third angle is 58 degrees

Step-by-step explanation:

In a triangle all three angles add up to 180 degrees. If you know two sides, add them up then subtract the sum from 180. This will leave you with the last angle measurement.

In a right triangle we always know there is one angle that has a measure of 90 degrees. So now we know two angles 90 and 32.

90 + 32 = 122

180 - 122 = 58

For this problem, we're finding the percent of 300. To do that we:

1. Multiply 300 by 15.

300 x 15 = 4500

2. Divide 4500 by 100. (% = 100)

4500 / 100 = 45

Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.

300 - 45 = 255

Now, our answer is 255 and the unit price is 45.

Let me know of any questions!

Answer:

It's 6.

Step-by-step explanation:

6- 1, 2, 3, 6

36- 1, 2, 3, 4, 6

The greatest common factor of 6 and 36 is 6

Given data ,

Let the first number be represented as p

where the value of p = 6

Let the second number be represented as q

where the value of q = 36

To find the greatest common factor (GCF) of 6 and 36, we need to determine the largest positive integer that can divide both numbers evenly.

To begin, we can list the factors of each number:

Factors of 6 : 1 , 2 , 3 , 6

Factors of 36 : 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36

From the lists, we can see that both 6 and 36 share a common factor of 6. The GCF of 6 and 36 is therefore 6, as it is the largest number that can evenly divide both 6 and 36.

Hence , the greatest common factor is 6

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Answer:

Florida became a territory of the United States.

Step-by-step explanation:

i got it right on Edge

The correct option for the given statement is Florida became a territory of the United States.

Adams-Onís TREATY:-

The Adams-Onís Treaty between the United States and Spain was negotiated by Secretary of State John Quincy Adams and the Spanish Minister to the United States, Don Luis de Onís, and signed in February 1819.

The principal elements in the treaty were the acquisition of Florida by the United States and the establishment of a boundary line between Spanish territory and the United States.

After the Louisiana Purchase in 1803, Pres. Thomas Jefferson argued that Florida was included in Louisiana. In 1810 and 1812 the United States annexed sections of West Florida.

In the treaty Spain gave East and West Florida to the United States, and the United States agreed to assume claims by citizens of the United States against Spain.

Hence, the answer is Florida became a territory of the United States.

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Answer: n = 0

Step-by-step explanation: Let's solve for n, according to the linear equation given, this way:

10n + 0.3 = 0.1n + 0.3

10n - 0.1n = 0.3 - 0.3 (Like terms)

9.9n = 0

n = 0/9.9

n = 0

Answer:

Step-by-step explanation:

F(x) is simply another way of saying y. We are given the x value of -10. We can substitute this in for x and find y.

f(-10) = 7(-10) - 5

f(-10) = -70 - 5

f(-10) = -75

Answer:

Rewrite the equation in term of  

x

and  

y

.

f

(

x

)

=

2

x

2

−

7

x

+

5

Rewrite the equation in vertex form.

Tap for fewer steps...

Complete the square for  

2

x

2

−

7

x

+

5

.

Tap for more steps...

2

(

x

−

7

4

)

2

−

9

8

Set  

y

equal to the new right side.

y

=

2

(

x

−

7

4

)

2

−

9

8

Use the vertex form,  

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of  

a

,  

h

, and  

k

.

a

=

2

h

=

7

4

k

=

−

9

8

Find the vertex  

(

h

,

k

)

.

(

7

4

,

−

9

8

)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Tessa carved a total of 30 figures including bird and cat figures.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

let, The number of cat figures is 'x'.

Given, She has carved 4 times as many bird figures as cat figures.

Therefore, 4x = 24.

x = 24/4.

x = 6.

So, Tesaa carved 6 cat figures and hence she carved a total of

24 + 6 = 30 figures.

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Answer:

2(h-8)-h=h-16

2(h-8)=h+h-16

2(h-8)=2h-16

2(h-8)=2(h-8)

h-8=h-8

h-h=8-8

0=0 so their can be infinite value of h.

hence c is correct

we can put in place of anything but answer will be zero.

Answer:

C h= infinitely many solutions

Step-by-step explanation:

when you replace h with any number it is true

say h= 3

2(3-8) - h = h-16

2(-5) - 3 = 3 - 16

-10 - 3 = -13

-13 = -13

using distributive property:

2h-16-h = h-16

combine like terms

h-16=h-16

it is the same expression on both sides of the equal sign

hope that helps!

Answer:

i dont know just trying to get pionts haha sorry rihana

Step-by-step explanation:

Answer: Both A, and C

Step-by-step explanation:

The answer to the first system of equations (2x+2y=16) would be

x=3 and y=5 ( 3x-y=4 )

Which means we have to find out which of the other equations has an x value of 3, and a y value of 5.

If A is 2x+2y=16, then x=3 and y=5

           6x-2y=8

If B is x+y=16, then x=5 and y=11

         3x-y=4

If C is 2x+2y=16, then x=3 and y=5

           6x-2y=8

If D is 6x+6y=48 , then x=-2 and y=10

            6x+2y=8

Both A and C are equal to the first system of equations, which means they are both correct answers.

______________________________

 - We do this because in order to add these, they must have the same denominator. So you must find the LCF, (Least Common Factor) of 6 and 4.

 - [tex]\frac{1}{6}[/tex] changes to [tex]\frac{2}{12}[/tex] by multiplying the numerator and denominator by 2. And  [tex]\frac{1}{4}[/tex] changes to [tex]\frac{3}{12}[/tex] because you multiply the numerator and denominator by 3.

 - Since both fractions have the same denominator all you have to do is add the numerators together.

______________________________