The radius
of a sphere is 6 units.
Which expression represents the volume of the sphere,
in cubic units?
O ¾7(6)2
• 57(6)3
0 -(12)2
5a(12)3

Using an exponential function, it is found that an appliance currently valued at $1,500 will be worth $150.17 in 8 years.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, we have that:

Thus, the equation is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 1500(1 - 0.25)^t[/tex]

[tex]A(t) = 1500(0.75)^t[/tex]

In 8 years, the value will be given by:

[tex]A(8) = 1500(0.75)^8 = 150.17[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Answer:

compound interest would be,

1495.91

and simple interest would be,

1470

Step-by-step explanation:

compound interest would look like,

1200 x 1.045 x 1.045 x 1.045 x 1.045 x 1.045

and simple interest would look like,

1200 x 0.045 = 54 = 4.5%

54 x 5 = 270

1200 + 270 = 1470

The expression (2/7)x (1.4x² - 3.5y) can be written in the form of a polynomial as 0.4x³ - xy.

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The expression is given below

[tex]\rm \dfrac{2x}{7} \times (1.4x^2-3.5y)[/tex]

The expression can be written in the form of the polynomial

[tex]\rightarrow \rm \dfrac{2x}{7} \times (1.4x^2-3.5y)\\\\\\\rightarrow \rm \dfrac{2x \times 1.4x^2}{7} - \dfrac{3.5y\times 2x}{7 }\\\\\\\rightarrow \dfrac{2.8x^3}{7} - \dfrac{7xy}{7 }\\\\\\\rightarrow 0.4x^3 - xy[/tex]

The expression in the form of a polynomial is given as

[tex]\rm \rightarrow 0.4x^3 - xy[/tex]

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ1

Answer:

Step-by-step explanation:

From the given figure, it can be seen that there are two circles with centers A and B respectively. The circle with the center A is larger in size than the circle with center B. Points P, Q and E lie on the surface of the circle having center A and R, S, C and T points lie on the circle having center B.

One tangent passes from the point  Q of the one circle to the point T of the another circle and the other tangent passes from point R of the smaller circle to the point E of the larger circle. These two tangents intersects each other outside both the circle. There is another tangent which passes from the point C of the smaller circle to a point D lying outside the circle.

Answer:

pls like and make me brainliest :)

Step-by-step explanation:

1275 divided by 15=$85 each

Answer:

1610 times

Step-by-step explanation:

Number of times a batter came to the plate

Answer:

ok real answer 2,-3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

y=6x+2

2=12+2

NO
y=-x

2=-2

NO

y=2x+6

2=4+10

NO

y=x

2=2

6=6

Answer:

[tex]y=x[/tex]

Step-by-step explanation:

We will use slope-intercept form:

[tex]y=mx+b[/tex]

Where [tex]m=[/tex]slope and [tex]b =[/tex]y-intercept

To find the slope we use the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We plug in the coordinates getting:

[tex]\frac{6-2}{6-2} =\frac{4}{4} = 1[/tex]

So we have a slope of 1:

[tex]y=(1)x+b[/tex]

If we look at the answer choice we see that only one of them has a slope of 1 so the equation is:

[tex]y =x[/tex]

Answer:

5:2:4

Step-by-step explanation:

20:8:16

= 5:2:4

Hope this helps =)

The distance between the diagonal and the the perimeter of the field is given by D = 229.2 m

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Miranda is standing at the corner of a 70 m by 110 m soccer field.

Let the dimensions of the rectangle be 70m x 100m

Now , the length of the diagonal is D

And , from the Pythagoras theorem ,

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

D = √ ( 70 )² + ( 110 )²

D = 130.8 m

Now , the perimeter of the rectangle is P = 2 ( 70 + 110 ) = 360 m

And , walking around the perimeter of the field

Now , by cutting across the diagonal instead of walking around the perimeter of the field, Miranda can save approximately 360 m - 130.8 m ≈ 229.2 m.

Hence , the diagonal of the rectangle is 130.8 m

To learn more about diagonal of a rectangle click :

https://brainly.com/question/13583275

#SPJ2

Answer:

y=0.75x+5

Step-by-step explanation:

x=20

y=20

20-5=15

15/0.75=20

20 games

The answers will be:

a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).

b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).

c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:

 f(8) = 4·8 +3 = 35

 g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35

 g(8) > f(8)

d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).

To know more about Slope follow

https://brainly.com/question/3493733

1.    (4,5)

2.    remain constant and increase

3.    g(x) exceeds the value of f(x)

4.     eventually

Step-by-step explanation:

Step-by-step explanation:

a. y-y1/y2-y1=x-x1/x2-x1

y+9/-5+9=x-9/10-9

y+9/4=x-9/1

y+9/4=x-9

b. y+9=4(x-9)

y+9=4x-45

y-4x=-45-9

y-4x=-54

Using the z-distribution, it is found that the correct option regarding the question in the problem is given by:

B. No, since the confidence interval includes values less than 50%, his opponent may get more votes.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

In this problem, the parameters are given as follows:

[tex]\pi = 0.52, n = 1000[/tex]

Hence, the bounds are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]

The lower bound is below 0.5, hence option B is correct.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Answer:

Answer is [tex]m(-1/2)=-1/12[/tex]

Step-by-step explanation:

[tex]m(-\frac{1}{2})=\frac{1}{6} *-\frac{1}{2} =-\frac{1}{12}[/tex]

Basically to find solutions of the equation. Find the x intercept points.

Equation: x² - 4x + 2

when solved using quadratic formula:

[tex]\dashrightarrow \sf x_{1,2}= \dfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:1\cdot \:2}}{2\cdot \:1}[/tex]

[tex]\dashrightarrow \sf x_1 \dfrac{-\left(-4\right)+2\sqrt{2}}{2\cdot \:1},\:x_2=\dfrac{-\left(-4\right)-2\sqrt{2}}{2\cdot \:1}[/tex]

[tex]\dashrightarrow \sf x=2+\sqrt{2}, \ 2-\sqrt{2}[/tex]

[tex]\dashrightarrow \sf x=3.414, \ 0.586[/tex]

These are the solutions to the quadratic equation.

Answer:

x ≈ 0.6 , x ≈ 3.4

Step-by-step explanation:

the solutions to the quadratic equation from the graph are where the graph crosses the x- axis.

these are at approximately x = 0.6 and x = 3.4

Answer:

1. x < 3

2. x ≥ 3

3. -3 > x

4. x ≤ -3

5. 3 < x

6. -3 ≤ x

Step-by-step explanation:

To find out whether the circle will be opened or closed, look at the sign. If the sign is "<" or ">", then the circle will be open. If the sign is either "≤" or "≥", then the sign will be closed.

To decide if the arrow goes right or left, again, look at the sign. If the arrow is going left, then that means x is less than whatever value the circle is at. If the arrow is going right, then x is greater than whatever value the circle is on.

Using this information, you can figure out which inequality matches each number line.

hope this helps!

Answer:

(2,0)

(-5,-4)

Step-by-step explanation:

you first have to determine where the two graphs intersect, then easily you should write the (x,y) of the point in which there is an intersection

Answer:

Slopes is like a slide

Step-by-step explanation:

let me slide into you snap ajhare03

Answer:

its answer a :)

Step-by-step explanation:

875/23 = 38.04, round down to get 38

Answer:

4/19

Step-by-step explanation:

Both the numerator and denominator can be divided by 2, giving 4/19

Answer:

68.3 miles per hour

Step-by-step explanation:

One kilometer is 0.62 miles.

110 times 0.62 is 68.3

Wendy's rate of 110 kilometers per hour is 68.3 miles per hour.

To convert kilometers per hour to miles per hour, we need to use the conversion factor of 1 kilometer = 0.621371 miles.

Given that Wendy drives at a rate of 110 kilometers per hour.

we can multiply this value by the conversion factor to obtain the equivalent rate in miles per hour.

110 kilometers per hour × 0.621371 miles per kilometer

= 68.34381 miles per hour

We get 68.3 miles per hour.

To learn more on Conversion factor click:

https://brainly.com/question/30567263

#SPJ6

Another pair of coordinates that could be the missing ordered pair, (x,y) in this set is (1, 0)

Linear functions are functions that have a leading degree of one,

Given the coordinate points ((-2,-3), (0,-2), (2, -1), (x, y)}, we need to determine the missing coordinate points

Since the x-coordinates has a difference of 2, hence the missing x-coordinate is given as:

x = -1 + 2
x = 1

For the y-coordinate

y = -1 + 1
y = 0

Hence another pair of coordinates that could be the missing ordered pair, (x,y) in this set is (1, 0)

Learn more on coordinate here: https://brainly.com/question/17206319

Answer:

11

Step-by-step explanation:

Perimeter is figured out by adding all 4 sides.

Width of 11 + width 11 + length 15 + length 15 = 52

And the length of 15 is 4 more than the width of 11