State six ordered pairs for this function.
f(x)=4^x

Answer:

1st option

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use (3, 8 ) , that is x = 3 when y = 8 , then

8 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

24 = k

y = [tex]\frac{24}{x}[/tex] ← equation of variation

Answer: i think B

Step-by-step explanation:

88(4/11)-88(1/11)

Answer:

7.75+1.25x=31.50

Step-by-step explanation:

so in the end the answer is 19

Answer:

19 refills

Step-by-step explanation:

7.75+1.25x=31.50

Subtract the 7.75 on the other side..

1.25x=23.75

Then divide 1.25 from the 23.75

So, x which is the refills equal 19

[tex]=======================================[/tex]

parallel lines have the same slope; it means that if we have a line with a slope of -8, then the line parallel to the given line has the same slope (-8)

now, we are also given a point that the line passes through:

(9, 7)

we can use point-slope form:

[tex]\pmb{y-y1=m(x-x1)}[/tex]

[tex]\pmb{y-7=-8(x-9)}[/tex] (point-slope form)

now, convert to slope-intercept form, if necessary:

[tex]\pmb{y-7=-8x+72}[/tex]

[tex]\pmb{y=-8x+72+7}[/tex]

[tex]\pmb{y=-8x+79}[/tex]

[tex]================================[/tex]

Hope everything is clear; if you need any more explanation, kindly let me know.

Answer:

Skateboard costs 125.73$

Step-by-step explanation:

Answer:

multiple by pie or 3.14........

Answer:

38 or 37.7 when not rounded

Step-by-step explanation:

Both methods assume a normal distribution of the data, but the z-tests are most useful when the standard deviation is known.

OR u can use , z-tests are used when we have large sample sizes (n > 30), whereas t-tests are most helpful with a smaller sample size (n < 30). Both methods assume a normal distribution of the data, but the z-tests are most useful when the standard deviation is known.

Answer:

12%

Step-by-step explanation:

12/100

12%

Answer:

0.12

Step-by-step explanation:

divide 12 by 100 which would be moving the decimal point 2 times to the left.

Answer:

$200.00

Step-by-step explanation:

because if you do a ratio:

12=40

60=?        

60 divided by 12 is 5, and whatever you do to the top you must do to the bottom, so then you gotta do 40 times 5=200

Answer:

D 3,704

Step-by-step explanation:

Answer:

the answer is 3,704

Step-by-step explanation:

wouldn't you just multiply 483 by so the answer is 3,704

Answer and Step-by-step explanation:

The answer is acute.

Acute angles are angles that have a degree that is less than 90 degrees.

Obtuse angles are angles that have a degree that is more than 90 degrees.

Right angles are angles that are 90 degrees.

Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.

#teatrmees #PAW (Plant And Water)

Answer:

x = 53

Step-by-step explanation:

The angle labeled with the expression "2x - 20 " and the angle with the measure of 86 degrees are opposite interior angles.

Opposite interior angles are congruent

This means that 2x - 20 = 86

This is our equation.

We now solve for x using basic algebra

2x - 20 = 86

step 1 add 20 to each side

-20 + 20 cancels out

86 + 20 = 106

now we have 2x = 106

step 2 divide each side by 2

2x / 2 = x

106 / 2 = 53

we're left with x = 53

Answer: change, position, shape

Step-by-step explanation:

Answer:

a.) Marginal Product (MP) = 120

b.) Average Product = 126

c.) At x = 12, the output is maximum.

d.) After 5 levels of inputs diminishing returns set in.

Step-by-step explanation:

Given that,

Q = 72x + 15x² - x³

a.)

Marginal Product is equal to

[tex]\frac{dQ}{dx} = 72 + 30x - 3x^{2}[/tex]

At x = 8

MP = 72 + 30(8) - 3(8)²

     = 72 + 240 - 192

     = 120

∴ we get

Marginal Product (MP) = 120

b.)

Average Product is equals to

= [tex]\frac{Q}{x}[/tex]

= 72 + 15x - x²

At x = 6

Average Product = 72 + 15(6) - 6²

                             = 72 + 90 - 36

                             = 126

∴ we get

Average Product = 126

c.)

For Maximizing Q,

Put [tex]\frac{dQ}{dx} = 0[/tex]

⇒72 + 30x - 3x² = 0

⇒24 + 10x - x² = 0

⇒x² - 10x - 24 = 0

⇒x² - 12x + 2x - 24 = 0

⇒x(x - 12) + 2(x - 12) = 0

⇒(x + 2)(x - 12) = 0

⇒x = -2, 12

As items can not be negative

∴ we get

At x = 12, the output is maximum.

d.)

Now,

For Diminishing Return

[tex]\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0[/tex]

⇒30 - 6x < 0

⇒-6x < -30

⇒6x > 30

⇒x > 5

∴ we get

For x > 5, the diminishing returns set in

i.e.

After 5 levels of inputs diminishing returns set in.

Answer:

b

Step-by-step explanation:

Answer:

7 x 6 = 42, 42 divided by 2 (x 1/2) = 21 meters

Step-by-step explanation:

Formula of area of a triangle:

BH x 1/2

base x height x 1/2(basically just dividing by 2)

Answer:21 m2

Step-by-step explanation:

h= 6

b= 7

6x7= 42

42 divided by 2 = 21

Area= 21m

Step-by-step explanation:

(-3y^2+24y)(-6y^2-3y)

open the bracket and collect the like terms

-3y^2-6y^2+24y-3y

-9y^2+21y

Answer:

1/6

Step-by-step explanation:

Answer:

=48

Step-by-step explanation:

Answer:

k/-8=-6

k=-6*-8

k=48

Step-by-step explanation:

Answer:

radius = 17 units

equation of the circle =( x -h)^2 +(y -k) ^2 = r^2

or , (8 -(-7))^2 + (7-(-1))^2 = r^2

or, (8+7)^2 + (7 + 1)^2 = r^2

or, (15)^2 + (8)^2 =r^2

or, 225 + 64 = r^2

or 289 =r^2

or, 17^2 = r^2

or, r = 17 units

Please check the point by inserting centre(-7,-1) in place of (h,k ) and point in (x , y) and radius in r in the following equation

(x-h)^2 + (y - k)^2 = r^ 2.

Answer:

I think the answer could be C

Step-by-step explanation:

Sorry if im wrong

Answer:

C.

2z2; –5

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

( z + 6 ) ( 2 z 2 − 5 )

Answer:

2z^2; –5

Step-by-step explanation:

2z3 = 2 • z • z • z 12z2

= 2 • 2 • 3 • z • z

The GCF is 2z2.

–5z3 = –1 • 5 • z • z • z

–30 = –1 • 5 • 6

The GCF is –5.

Answer:

5000 pounds

Step-by-step explanation:

2.5 x 2000 pounds in a ton

5000 pounds

Answer:

A.

Step-by-step explanation:

22+(2x + 16)+90=180

combine like terms: 90+22+16=128

180-128=52

52=2x

52/2 = 2x/2

26 = x

(2*26+16) - angle B

Answer:

1, 3, and 4 would be correct answers

Step-by-step explanation:

1.) -x - 2x - 3y - 2y + 1 + 1 = -3x -5y + 2

2.) -3x + 2y + 3y + 2 = -3x + 5y + 2

3.) -3x - y - y - y - y - y + 2 = -3x - 5y + 2

4.) -x - x - x - y - y - y - y - y + 1 + 1 = -3x - 5y + 2

5.) x + x + x + y + y + y + y + y + 1 + 1 = 3x + 5y + 2

Hope this helps!