Fill in the blanks below in order to justify whether or not the mapping
shown represents a function.

first bank says , the mapping diagram above { represents } or does { NOT represent } a function since ..

blank 2 says { for each number } or { there is one number }

blank 3 says { set a the output } or { set b the input } or { set a the input } , and { set b the output } !

Answer:

The area of a triangle  A = 46.399 square units

Step-by-step explanation:

Explanation:-

Given that ΔABC

Given ∠ A = 42.5° and sides b= 13.6 and c =10.1

The area of a triangle

                [tex]A = \frac{1}{2} b c sin A[/tex]

                [tex]A = \frac{1}{2} 13.6(10.1) sin 42.5[/tex]

                [tex]A = \frac{1}{2} 137.36(0.67559)[/tex]         (∵ sin (42.5)° = 0.67559

               A = 46.399 square units

Answer:

1.344 cm ; 3.92 cm ; 9.968 cm

Step-by-step explanation:

Given the function :

W(d) = 0.112d ; Amount of water in cm, that results from dcm of snow Melting.

Find the amount of water that results from snow melting from depths of 12cm, 35cm, and 89 cm

1.)

W(12) = 0.112(12) = 1.344 cm

2.)

W(35) = 0.112(35) = 3.92 cm

3.)

W(89) = 0.112(89) = 9.968 cm

Answer:

(d) and (e) are true

Step-by-step explanation:

Given

[tex]Food = 23\ oz[/tex]

See attachment for proper presentation of question

Required

Select all true statements

For any option to be true, it must satisfy the following condition.

[tex]Days * Food = 23[/tex]

Option (a):

[tex]Days = 6[/tex]

[tex]Food = 4\frac{1}{6}[/tex] per day

So, we have:

[tex]Days * Food = 6 * 4\frac{1}{6}[/tex]

[tex]Days * Food = 6 * \frac{25}{6}[/tex]

[tex]Days * Food = 25[/tex]

This is not true because: [tex]25 \ne 23[/tex]

Option (b):

[tex]Days = 10[/tex]

[tex]Food = 2\frac{2}{23}[/tex] per day

So, we have:

[tex]Days * Food = 10 * 2\frac{2}{23}[/tex]

[tex]Days * Food = 10 * \frac{48}{23}[/tex]

[tex]Days * Food = \frac{480}{23}[/tex]

[tex]Days * Food = 21[/tex] --- approximated

This is not true because: [tex]21 \ne 23[/tex]

Option (c):

[tex]Days = 8[/tex]

[tex]Food = 3\frac{1}{8}[/tex] per day

So, we have:

[tex]Days * Food = 8 * 3\frac{1}{8}[/tex]

[tex]Days * Food = 8 * \frac{25}{8}[/tex]

[tex]Days * Food = 25[/tex] --- approximated

This is not true because: [tex]25 \ne 23[/tex]

Option (d):

[tex]Days = 11[/tex]

[tex]Food = 2\frac{1}{11}[/tex] per day

So, we have:

[tex]Days * Food = 11 * 2\frac{1}{11}[/tex]

[tex]Days * Food = 11 * \frac{23}{11}[/tex]

[tex]Days * Food = 23[/tex] --- approximated

This is true because: [tex]23 = 23[/tex]

Option (e):

[tex]Days = 7[/tex]

[tex]Food = 3\frac{2}{7}[/tex] per day

So, we have:

[tex]Days * Food = 7 * 3\frac{2}{7}[/tex]

[tex]Days * Food = 7 * \frac{23}{7}[/tex]

[tex]Days * Food = 23[/tex] --- approximated

This is true because: [tex]23 = 23[/tex]

Answer:

42/2    (the second choice down)

Step-by-step explanation:

Answer:

[tex] \triangle FDE \cong \triangle RTS[/tex]

Step-by-step explanation:

[tex] In \:\triangle FDE \:\&\:\triangle RTS[/tex]

[tex] FD \cong RT... (given) [/tex]

[tex] \angle FDE \cong \angle RTS... (given)[/tex]

[tex] DE \cong TS... (given) [/tex]

[tex] \therefore \triangle FDE \cong \triangle RTS\\(by\: SAS\: postulate)[/tex]

Answer:

the (x, y) pair solution to the system is: (-2, -4)

That is x = -2 and y = -4

Step-by-step explanation:

I presume there is a variable y missing in the first equation, and in fact the system looks like:

(1/2) x + (3/2) y = - 7

- 3 x + 2 y = -2

In such case, we proceed to multiply both sides of tye first equation by 6

6 (1/2) x + 6 (3/2) y = - 42

3 x + 9 y = - 42  and we add term by term this equation to the second one, so as to cancel out the term in x:

3 x + 9 y = - 42

- 3 x + 2 y = -2

_____________

11 y = - 44

divide both sides by 11 to isolate y

y = -44 / 11 = -4

Then with the value y = -4, now we replace it in the second equation to solve for x:

- 3 x + 2 y = - 2

- 3 x + 2 (- 4) = -2

- 3 x - 8 = - 2

add 8 to both sides

- 3 x = 6

divide both sides by (-3) to isolate x

x = 6 / (-3) = - 2

Therefore the (x, y) pair solution to the system is: (-2, -4)

That is x = -2 and y = -4

Answer:

Square

Step-by-step explanation:

square - (geometry) a plane rectangle with four equal sides and four right angles

Answer:

Rational function

Step-by-step explanation:

Rational functions usually have the form p(x)/q(x).

Where, p and q are said to be polynomials. The polynomial p(x) is referred to as the numerator while the polynomial q(x) is referred to as the denominator.

Answer:

your answer is C

Step-by-step explanation:

Answer:

D. x>8

Step-by-step explanation:

Answer:

x>-2

Step-by-step explanation:

when dividing by a negative number, the inequality sign flips.

Answer:

x > -2

Step-by-step explanation:

-4x< 8   (divide both sides by -4)

-x < 8/4

-x < 2    (divide or multiply both sides by -1, remember to flip the inequality when multiplying or dividing by -1)

x > 2 (-1)

x > -2

Answer:

30

Step-by-step explanation:

multiply 5 x 3 and you get 15 then multiply the roots and you also get 2 so then you have to multiply 5 and 2 to get 30.

The solution is : the simplification of 5√2 × 3 √2 is:  30.

Here, we have,

given that,

5√2 × 3 √2

now, we need to simplify this, i.e. we have to multiply this.

so, we get,

multiply 5 x 3 and we get 15

then multiply the roots and we also get 2

i.e. √2 ×√2 = 2

so then you have to multiply 15 and 2 to get 30.

i.e. 15 * 2 = 30

so, we have,

5√2 × 3 √2

= 5 × 3 × √2 ×√2

=15 × 2

=30

Hence, The solution is: the simplification of 5√2 × 3 √2 is:  30.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ6

Answer: n < 2, n < 1

Step-by-step explanation:

Answer:

The answer is (-4,9)

Step-by-step explanation:

The other ones are not near the line (-8,-10) does not even fit on the screenshot. (-4,9) Is the only one that is on the line.

Answer:

98º

Step-by-step explanation:

Answer:

OPTION D

Explanation:

For zeros of the function (y is the function, a function of x) we need y = 0 so that in turn means we need - 9x - 1 = 0 or - 9x = 1 (i.e. add 1 to both sides); now divide by - 9, and x = 1/-9 which is exactly the same as - 1/9 or - (1/9) and this is the only zero of the function.

or

If y = -9x - 1,

When y = 0

0 = -9x - 1

0 + 1 = -9x - 1 + 1

1 = -9x

1/9 = -9x/9

1/9 = -x

1/[9 X (-1)] = -x/-1

- (1/9) = x

When x = 0

y = (-9 X 0) - 1

y = 0 - 1

y = - 1

Answer:

A: 3/5 + 2/5 = 5/5

A: 3/5 + 1/5 = 4/5

B: 3/5 - 2/5 = 1/5

B: 3/5 - 1/5 = 2/5

C: 3/5 x 2/5 = 6/25

C: 3/5 x 1/5 = 3/25

C: 2/5 x 1/5 = 2/25

D: 1/2 + 1/4 = 3/4

D: 4/5 + 4/10 = 6/5

E: 4/6 ÷ 2/6 = 2

E: 1/6 ÷ 1/6 = 1

Step-by-step explanation:

Answer:

x<3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

5p

Step-by-step explanation:

Answer:

p=1

Step-by-step explanation:

5p=p+4

5p-p=4

4p=4

p=1

5p=5×1=5

p+4=1+4=5

p+16=1+16=17

17p=17×1=17

Step-by-step explanation:

2n+1+2n+3+2n+5+2n+7

8n+16=40

8n=40-16

8n=24

n=3

Answer:

80 meters squared

Step-by-step explanation:

Answer:

The acceleration is 466.7m/s^2

Step-by-step explanation:

Given

[tex]u = 0m/s[/tex] -- Initial Velocity

It is 0 because the plane starts from a standstill

[tex]v = 350mi/h[/tex] -- final velocity

[tex]t = 45s[/tex] -- time

Required

Determine the acceleration

This is calculated using Newton's first equation of motion

[tex]v = u + at[/tex]

Convert time to hour

[tex]t = 45s[/tex]

[tex]t = \frac{45}{60}hr[/tex]

[tex]t = 0.75hr[/tex]

Substitute values for v, u and t

[tex]350 = 0 + a*0.75[/tex]

[tex]350 = 0.75a[/tex]

Divide both sides  by 0.75

[tex]\frac{350}{0.75} = a[/tex]

[tex]466.67 = a[/tex]

[tex]a=466.67m/s^2[/tex]

Hence, the acceleration is 466.7m/s^2

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

Explanation:

Let r be the radius we want to find

The area of the full circle is A = pi*r^2

The unshaded portion is 60 degrees, so the unshaded portion must be 360-60 = 300 degrees.

The full area was pi*r^2, but we only want 300/360 of that full area.

So,

s = shaded area

s = (300/360)*(full circle area)

s = (300/360)*(pi*r^2)

s = 30pi

(300/360)*(pi*r^2) = 30pi

(300/360)*r^2 = 30

(5/6)*r^2 = 30

5r^2 = 30*6

5r^2 = 180

r^2 = 36

r = sqrt(36)

r = 6

The radius is 6 inches.

$5

Step-by-step explanation:

   Note. There are no options to select.

Let the notebook cost x, then Mark spent:

   25x + 25*1.25 = 156.25

   25x + 31.25 = 156.25

   25x = 156.25 - 31.25

   25x = 125

   x= 125/25

   x= 5

Answer:

the last one would be the answer as we know the kitchen is clean so it might be some if true

Answer:

Step-by-step explanation:

(1, 72) (2, 73)

(73 - 72)/(2 - 1)= 1/1= 1

y - 72 = x - 1

y = x + 71

Step-by-step explanation:

in equation 1

y=4x+12

so now

eqs 2

2y=4+3x

then

-y=x+8

y= -x-8

so

-x-8=4x+12

-20=5x

-4=x

so

y= 4-8

y=-4