State a) whether each graph is a function, b) whether the relation is
continuous, discrete, or neither, and c) the domain and range in the notation
indicated.

768 cm'^2 is the trapezoid’s area.

What is  isosceles trapezoid?

Isosceles trapezoids have equal length non-parallel sides, hence the name "isosceles" which means "equal legs". The "legs" are another name for these equal sides.

Let 50 cm  = the bottom  base

We can find the area of one of the triangles that comprise the area of the trapezoid.....its sides are 30, 40 and 50  cm

Let s be the semi-perimeter of one of the triangle  = [ 50 + 40 + 30 ] / 2  = 60 cm

And the area of  of this triangle  =  sqrt  [ s ( s - a) (s - b) ( s -c) ]     where a,b, c are the sides

So...we have    sqrt [ 60 ( 60 - 30) (60 - 40) (60 - 50) ]  = sqrt [ 60 * 30 * 20 * 10 ] =

sqrt [ 1800 * 200]   =   sqrt [ 3600 * 100]  = 60 * 10  = 600 cm ^2

Now the base of this triangle = 50 and the height can be found as

follows :

Area =  (1/2) 50 * height

600 = 25 * height

height  =  24 cm   and this is the height of the trapezoid

Now....the top base can be found as   50  -  2 sqrt [ 30^2 - 24^2 ]  = 14 cm

So....the area of the trapezoid  = (1/2) height ( sum of the bases)  =  (1/2) (24) ( 50 + 14)  = 12 ( 64)  = 768 cm'^2

Learn more about  isosceles trapezoid

brainly.com/question/2516570

#SPJ4

The way to write the name of a segment differently than the name of a line is that  a line is written with the use of two arrowheads on the ends. While a line segment is just written down by an overbar with endpoints.

A line is known to be a kind of a one-dimensional figure that moves from infinitely in 2 directions.

A line segment is seen as a part of a line that is known to be made up of  definite attributes where it has two endpoints as well as a fixed length.

Therefore, The way to write the name of a segment differently than the name of a line is that  a line is written with the use of two arrowheads on the ends. While a line segment is just written down by an overbar with endpoints.

Learn more about line segment from
https://brainly.com/question/2437195

#SPJ1

The percentage increase for given quantity is 11.1%

In this question,

A quantity increases from 225 to 250.

So, the absolute change in the quantity would be,

|225 - 250| = 25

The relative increase of the quantity would be,

R = [tex]\frac{|225 - 250|}{225}[/tex]

R = 25 / 225

R = 0.111

We know that, the percentage increase of the quantity is the relative increase multiplied by 100.

So, the percentage increase of given quantity would be,

P = 0.111 × 100

P = 11.1%

Therefore, the percentage increase for given quantity is 11.1%

Learn more about the percentage increase here:

https://brainly.com/question/20818421

#SPJ4

Answer:

Absolute values:

Absolute values are specific values in math interpreted by vertical bars and a plus/minus symbol to represent addition, subtraction, or if they are negative / positive. Mostly, if the absolute value is positive, you can write the vertical bars to represent its absolute value. No need for a plus symbol. However, negative numbers are often different.

Exempli gratia(e.g): |2|, |-2|, |+2|

you need to draw the exact graph of f(x), but moved 3 units to the right and 5 units up.

First, we know the graph of f(x), and now we want to find the graph of the function:

f(x - 3) + 5.

Remember that a horizontal translation of N units is written as:

f(x + N)

Remember that a vertical translation of N units is written as:

f(x + N)

Then the function:

f(x - 3) + 5

Is a translation of 3 units to the right and 5 units upwards.

This means that you need to draw the exact graph of f(x), but moved 3 units to the right and 5 units up.

If you want to learn more about translation:

https://brainly.com/question/24850937

#SPJ1

Answer:

It works in both equations, so the two numbers are 60 and 12.

Step-by-step explanation:

Answer: The answer is C(3,11)

Step-by-step explanation:

If you replace x with 3 that will be 3 to the third power 3 x 3 is 9 so 9 plus 2 is 11 you can use 11 in y, therefor your answer is C.(3,11)

Using translation concepts, it is found that:

A. The triangle was reflected over the y-axis.

B. The coordinates for J' are (-5,-4).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For item a, we have that the rule applied at each vertex is given by:

(x,y) -> (-x,y).

This rule means that the triangle was reflected over the y-axis.

In item b, supposing point J(5,-4), the image is given by:

(5,-4) -> (-5,-4).

The coordinates for J' are (-5,-4).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer: 1 3/4=7/4

2 1/2=5/2

Step-by-step explanation:

1 3/4=

1 + 3/4=

4/4 + 3/4=

(4+3)/4=7/4

2 1/2=

2+1/2=

4/2+1/2=5/2

6w^2z^2

I hope this helps!

Answer:

I gotchu! The answer is 80.

Step-by-step explanation:

To find the mean, you need to add up all the scores and divide it by how many scores there are. In this case, there are 5 scores, so we can first add them all up.

70+75+80+85+90=400

Now, since there are 5 scores, you need to divide 400 by 5.

400/5=80

The mean would be 80.

Hope that helped!

Have a great day!

:D

The number of written in standard form is 9.45 × 10⁵

From the question, we are to write the given number in standard form

The given number is

Nine hundred forty-nine thousand

That is,

945000

To write a number in standard form, we will write the number as a decimal number between 1.0 and 10.0, multiplied by a power of 10.

The number, 945000, written in standard form is

9.45 × 10⁵

Hence, the number of written in standard form is 9.45 × 10⁵

Learn more on Standard form here: https://brainly.com/question/17136267

#SPJ4

The translation of the point, (5, 3) according to the rule, (x, y) → (x - 7.5, y + 6.8), gives the point, (-2.5, 9.8)

A translation transformation is one in which the image of a pre–image is located at a position according to a rule. such that the difference between the image and the pre-image is a change in location.

Given parameters;

The coordinates of the given point = (5, 3)

The rule for the given transformation = (x, y) → (x - 7.5, y + 6.8)

The original coordinates of the point = (5, 3)

The coordinates of the image following the transformation is therefore;

[tex](5, 3) \: \underrightarrow{ T } \: (5 - 7.5,\: 3 + 6.8) [/tex]

Where;

[tex]T = T_{ (- 7.5,\: 6.8)}[/tex]

(5 - 7.5, 3 + 6.8) = (-2.5, 9.8)

Which gives;

[tex](5, 3) \: \underrightarrow{ T_{( - 7.5,\: 6.8)} } \: ( - 2.5,\: 9.8) [/tex]

The transformation of the point (5, 3) according to the rule (x, y) → (x - 7.5, y + 6.8), gives (-2.5, 9.8)

Learn more about translation transformation here:

https://brainly.com/question/24263250

#SPJ1

Answer:

52/21

Step-by-step explanation:

Translate the word equation into an algebraic equation as follows:

Let the number be X

two-and-a-half of a number --> (2 1/2) X
2 1/2 = (2 x 2 + 1) = 5/2

So two-and-a-half of a number --> (9/2)X = 9X/2

three-quarters of the same number --> (3/4)X --> 3X/4

two and half of a number added to three quarters of the same number becomes 9X/2 + 3X/4

gives you 13 --> = 13

So we get the equation:
9X/2 + 3X/4 = 13

Multiply both sides by 4 to get rid of the denominators
4.(9X/2) + 4(3X/4) = 4 x 13 = 52

36X/2 + 12X/4 = 52

==>  18X + 3X = 52

==>  21X = 52

==>  X = 52/21

Answer:

7 grids

Step-by-step explanation:

-start at one of your points

-count up or down the y-axis to the other point.

-count along the x-axis to your other point.

-add the 2 lengths.

The function f(x), representing the number of blocks Eva is away from her house after x minutes is

[tex]f(x) = \begin{cases} & 0\text{ if } x= 0\\ & x\text{ if } 0 < x\leq 3 \\ & 3\text{ if } 3 < x\leq 6\\ & x/2\text{ if } 6 < x\leq 12\\ & 6\text{ if } 12 < x\leq 18\\ & 24-x\text{ if } 18 < x\leq 24 \\ & 0\text{ if } x > 24 \end{cases}[/tex]

The graph for the same is attached.

In the question, we are asked to form a graph showing the number of blocks, that Eva is away from her home at x minutes, after she leaves her home.

To form the graph, we first try to make a function for x minutes, f(x), showing the number of blocks Eva is away from her home after x minutes.

Since x represents time, it cannot be negative.

At x = 0, f(x) = 0, as she is at her home at 0 minutes.

Then, Eva visits the store, 3 blocks away from her home at a speed of 1 block per minute.

Thus, she moves 1 block every minute up to 3 minutes.

Thus, we get f(x) = x, 0 < x ≤ 3.

After this, she spends 3 minutes at the store, giving f(x) = 3, 3 < x ≤ 6.

Then she moves towards the bank, in the same direction, 3 blocks away at the speed of 1 block every 2 minutes.

Thus, in every minute, she travels 1/2 block.

Thus, the function can be designed as follows:

f(x) = 3 + (1/2)(x - 6), 6 < x ≤ 12,

or, f(x) = x/2, 6 < x ≤ 12.

Now, we are given that she stops at the bank for 6 minutes.

Thus, we get, f(x) = 6, 12 < x ≤ 18.

Now, she drove back home, at the speed of one block every minute.

Thus, we get f(x) = 6 - (x - 18), 18 < x ≤ 24,

or, f(x) = 24 - x, 18 < x ≤ 24.

At the 24th minute, Eva reaches her house back, giving f(x) = 0, x > 24.

Thus, the complete function can be shown as:

[tex]f(x) = \begin{cases} & 0\text{ if } x= 0\\ & x\text{ if } 0 < x\leq 3 \\ & 3\text{ if } 3 < x\leq 6\\ & x/2\text{ if } 6 < x\leq 12\\ & 6\text{ if } 12 < x\leq 18\\ & 24-x\text{ if } 18 < x\leq 24 \\ & 0\text{ if } x > 24 \end{cases}[/tex]

The graph for this function is attached.

Learn more about graphs at

https://brainly.com/question/27858226

#SPJ9

Work Shown:

The floor area is length*width = 5*15 = 75 square meters

1 square meter = 5 dollars

75*(1 square meter) = 75*(5 dollars)

75 square meters = 375 dollars

Answer: 1.65 × 10⁻³

Step-by-step explanation: hope this helps!!!

Answer:

23

Step-by-step explanation:

you always do whatever is in the brackets first,

31 - 9 = 22

then the equation would be,

45 - 22

so the answer is 23

hope this helped xx

Answer:

x2 + 3x − 2

Explination: trust pls

Answer:  

Step-by-step explanation:

Answer: a=123

b=230

Step-by-step explanation:

The dimensions of the rectangle are 59 by 50 inches

The given parameters are

Length (l) = 1/2 width (w) + 9

Perimeter (P) = 318

Perimeter is calculated as

P = 2 (l + w)

Substitute l = 1/2w + 9 in P = 2(l + w)

So, we have

2 * (1/2w + w + 9) = 318

Evaluate the like terms

2 * (1.5w + 9) = 318

Divide by 2

1.5w + 9 = 159

So, we have

1.5w = 150

Divide by 15

w = 100

Substitute w = 100 in l = 1/2w + 9

l = 1/2 * 100 + 9

Evaluate

l = 59

Hence. the dimensions of the rectangle are 59 by 50 inches

Read more about perimeter at:

https://brainly.com/question/24571594

#SPJ1

The rule for the translation from LMN to L'M'N' is:

(x,y) -> (x + 3, y + 1).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, we have that each vertex of LMN was:

Thus the rule for the translation from LMN to L'M'N' is:

(x,y) -> (x + 3, y + 1).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Can you give me brainliest?

Answer: read first :)

Step-by-step explanation:

the first equation, x= -4 + 3y/5

y= 20/3 + 5x/3

the second equation, x= 4 - 2y/3

y= 6 - 3x/2

Answer:

C. 92

Step-by-step explanation:

88 + 96 = 184

184/2 = 92

Hope this helps :)

The amount that the bank loaned out at 7.9% is $1,574.00

How do represent the amounts lent at different rates?

On the assumption that x amount was loaned at 7.9% and that the remaining amount, (8,200-x) was loan out at 7.4%, we can determine the interest charged on each loan as the loan multiplied by the interest rate

interest on 7.9% loan=7.9%*x=0.079x

interest on 7.4% loan=7.4%*(8200-x)

interest on 7.4% loan=606.80-0.074x

total interest=0.079x+606.80-0.074x

total interest=0.005x+606.80

total interest on loans=614.67

614.67=0.005x+606.80

614.67-606.80=0.005x

7.87=0.005x

x=7.87/0.005

x=amount loaned at 7.9%=$1,574.00

y=$8200-$1574

y=$6,626.00

Find out more about bank loan interest rate on:brainly.com/question/20796174

#SPJ1