Which is an example of a function?

A. The cost of a small dish of ice cream at an ice cream parlor and the height of the customer.

B. The time you spend at the library and the distance to the library.

C. The time it takes to drive to the ski resort and the speed drive.

D. The price of a one-year magazine subscription and the age of the subscriber.

Answer:

Opt. D. AB=WX

Step-by-step explanation:

If we take the rectangle from its original position and then rotate it 90° we will see that the horizontal sides will form now vertical sides. That is Why AB side is now WX.

Answer:

1/2

Step-by-step explanation:

if the one line's slope is m = –2, then the perpendicular line's slope will be m= 1/2 (the slope of a perpendicular line is the reciprocal of the slope of the first line)

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I will call [tex]m_{a}[/tex] the slope of line [tex]a[/tex], and [tex]m_{b}[/tex] the slope of line [tex]b[/tex].

For two lines to be perpendicular, the following must be satisfied:

[tex]m_{a}*m_{b}=-1[/tex]

in this case we know:

[tex]m_{a}=-2[/tex]

so:

[tex](-2)*m_{b}=-1[/tex]

And clearing for the slope of line [tex]b[/tex]:

[tex]m_{b}=\frac{-1}{-2} \\m_{b}=\frac{1}{2}[/tex]

The slope of the line [tex]b[/tex] which is perpendicular to line [tex]a[/tex] is [tex]\frac{1}{2}[/tex]

Answer:  a = 11.1

Step-by-step explanation:

a(0.3 - y) + 1.1 + 2.4x = 0

Let y = 1.3 → a(0.3 - 1.3) + 1.1 + 2.4x = 0 → -a + 1.1 + 2.4x = 0 → a = 1.1 + 2.4x

(y - 1.2) = -1.2(x - 0.5)

Let y = 1.3 → (1.3 - 1.2) = -1.2(x - 0.5) → 0.1 = -1.2x + 0.6 → -0.5 = -1.2x → [tex]\dfrac{50}{12}=x\ \rightarrow\ \dfrac{25}{6}=x[/tex]

a = 1.1 + 2.4x

   [tex]=1.1+2.4\bigg(\dfrac{25}{6}\bigg)[/tex]

   = 1.1 + 0.4(25)

   = 1.1 + 10

   = 11.1

Answer: I agree with 11.1

Step-by-step explanation:

Answer: OPTION D

Step-by-step explanation:

To solve this problem you must apply the formula for calculate  the surface area of the rectangular prism:

[tex]SA=2(wh+lw+lh)[/tex]

Where w is the width, h is the heigh and l is the lenght.

Based on the rectangular prism shown, you have that:

[tex]w=9.08cm\\h=3.23cm\\l=11.73cm[/tex]

Finally when you substitute values into the formula you obtain the following result:

[tex]SA=2[(9.08cm*3.23cm)+(11.73cm*9.08cm)+(11.73cm*3.23cm)]=347.45cm^2[/tex]

Answer:

D

Step-by-step explanation:

The surface area is the area of all the surfaces, together.

A rectangular prism has 6 rectangular surfaces. We need to add those 6 faces and sum it.

Area = 2 ( 3.23 * 9.08 ) = 58.6568

Area = 2 ( 3.23 * 11.73 ) = 75.7758

Area = 2 ( 11.73 * 9.08 ) = 213.0168

Summing all of them up,

Surface area of Rectangular Prism = 58.6568 + 75.7758 + 213.0168

=347.4494

* Rounding to nearest hundredth, 347.45 cm ^2

70% × 413 =

(70 ÷ 100) × 413 =

(70 × 413) ÷ 100 =

28,910 ÷ 100 =

289.1

Proof

289.1 ÷ 413 =

0.7 =

0.7 × 100/100 =

0.7 × 100% =

(0.7 × 100)% =

70%

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➷ 12x - 8 = 24

Add 8 to both sides:

12x = 32

Divide both sides by 12 to isolate x:

x = 8/3

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Answer: x= 8/3

Step-by-step explanation:

first thing u do is add 8 to the 24 because the operation in front is - , that equals 32

since 12 is multiplied by x you divide 12 by 32 to get x by itself and that equals 8/3

Hope this helps mark me brainliest

Answer:

Step-by-step explanation:

s = sequence

[tex]s_{1}[/tex] = first term of sequence

[tex]s_{1}[/tex] = 7

[tex]s_{4}[/tex] = 16

Find the difference between the term number and the values.

Terms:

4 - 1 = 3

Values:

16 - 7 = 9

For every 3 terms, you add 9.

Divide, to find the amount you add for 1 terms.

3 / 3 = 1

9 / 3 = 3

For every 1 terms, you add 3.

[tex]s_{1}[/tex]= 7

[tex]s_{2}[/tex]= 10

[tex]s_{3}[/tex]= 13

[tex]s_{4}[/tex]= 16

[tex]s_{5}[/tex]= 19

[tex]s_{6}[/tex]= 22

Answer:

Part a) The exterior surface area is equal to [tex]160\ ft^{2}[/tex]

Part b) The volume is equal to [tex]240\ ft^{3}[/tex]

Part c) The volume water left in the trough will be [tex]84\ ft^{3}[/tex]

Step-by-step explanation:

Part a) we know that

The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles

so

Find the area of two rectangles

[tex]A=2[12*5]=120\ ft^{2}[/tex]

Find the area of two trapezoids

[tex]A=2[\frac{1}{2}(8+2)h][/tex]

Applying Pythagoras theorem calculate the height h

[tex]h^{2}=5^{2}-3^{2}\\h^{2}=16\\h=4\ ft[/tex]

substitute the value of h to find the area

[tex]A=2[\frac{1}{2}(8+2)(4)]=40\ ft^{2}[/tex]

The exterior surface area is equal to

[tex]120\ ft^{2}+40\ ft^{2}=160\ ft^{2}[/tex]

Part b) Find the volume

we know that

The volume is equal to

[tex]V=BL[/tex]

where

B is the area of the trapezoidal face

L is the length of the trough

we have

[tex]B=20\ ft^{2}\\ L=12\ ft[/tex]

substitute

[tex]V=20(12)=240\ ft^{3}[/tex]

Part c)

step 1

Calculate the area of the trapezoid for h=2 ft (the half)

the length of the midsegment of the trapezoid is (8+2)/2=5 ft

[tex]A=\frac{1}{2}(5+2)(2)=7\ ft^{2}[/tex]

step 2

Find the volume

The volume is equal to

[tex]V=BL[/tex]

where

B is the area of the trapezoidal face

L is the length of the trough

we have

[tex]B=7\ ft^{2}\\ L=12\ ft[/tex]

substitute

[tex]V=7(12)=84\ ft^{3}[/tex]

Final answer:

The squirrel reaches a height of 4 feet twice during its trajectory: once on the way up and once on the way down due to symmetrical motion.

Explanation:

The squirrel will reach a height of 4 feet twice during its trajectory. To understand why, let's analyze the motion. The squirrel's vertical motion can be described by the equation [tex]\( h(t) = h_0 + v_0t - \frac{1}{2}gt^2 \),[/tex] where [tex]\( h(t) \)[/tex] is the height at time[tex]\( t \), \( h_0 \) is the initial height, \( v_0 \) is the initial velocity, and \( g \) is the acceleration due[/tex]  to gravity.

Given that[tex]\( h_0 = 0 \), \( v_0 = 16 \) ft/s, and \( g = 32 \) ft/s^2,[/tex] we can plug in these values to find the times at which the squirrel reaches a height of 4 feet. Solving the equation[tex]\( h(t) = 4 \) for \( t \),[/tex] we get two solutions:[tex]\( t = 1 \) second and \( t = 3 \)[/tex] seconds. This means the squirrel reaches a height of 4 feet once on its way up and once on its way down. So, the squirrel reaches a height of 4 feet twice.

Answer:

e=23

Step-by-step explanation:

The equation representing this scenario is e-5=18.

Add 5 to both sides and you get e=23 (eggs)

Answer:

e=23

Step-by-step explanation:

Answer:

y = 6

Step-by-step explanation:

Given

y = [tex]\frac{3}{4}[/tex] x + 3 and (4, ? )

Substitute the x- coordinate x = 4 into the equation for corresponding value of the y- coordinate.

x = 4 : y = [tex]\frac{3}{4}[/tex] × 4 + 3 = 3 + 3 = 6

Hence the coordinate point is (4, 6)

Answer: 2/6.

Step-by-step explanation:

This might be wrong but because there are only 6 sides on a number cube, and only two numbers between this probablity this is the most likely correct answer. I apologize if this is wrong.

Answer:

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

y= 2/3x - 4/3

Step-by-step explanation:

If we want a line parallel to  y=2/3x+7, it will have the same slope

m = 2/3

We have a point (-1,-2), so we can use point slope form

y-y1 = m(x-x1)

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

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

If we want the line in slope intercept form, distribute the slope

y+2 = 2/3 x +2/3

Subtract 2 from each side

y+2-2=2/3x +2/3-2

y = 2/3x +2/3 - 6/3

y= 2/3x - 4/3

7x - 3/8 = 6x -5/8

Subtract 6x from each side:

x - 3/8 = -5/8

Add 3/8 to each side:

x = -5/8 + 3/8

x = -2/8

x = -1/4

Answer:

2m/s

2 meters per second

Step-by-step explanation:

Formula for speed is distance (meters) over time (seconds) after you divide you get 2. Please give me the brainliest answer?

:) Hoped this helped!!! Have a good day!!! <3

Answer:

2 Meters per second

Step-by-step explanation:

Total cost

13 1/4 × $1.20

=53/4 × $1.20

=$15.90

Alfred + 4 friends = 5 person

So, each person must pay

$15.90÷5

=$3.18

Answer

$3.18

Using arithmetic simplification, the amount paid by each person since the cost is shared evenly is $3.18

The total cost of gummy bear :

Number of people involved = Alfred + 4 friends = 5

Since the cost is shared evenly ; the amount paid per person can be calculated thus :

Cost per person = $15.90 ÷ 5 = $3.18

Therefore, each person will pay a sum of $3.18

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Answer: bisect

Step-by-step explanation:

A segment that is bisected is divided into 2 congruent (equal) lengths from the midpoint.

An angle that is bisected is divided into 2 congruent (equal) angles.

8.25 divided by 100=0.0825

Answer:

2x+3y

Step-by-step explanation:

first you group up the sides and subtract from the perimeter to get the last side. then combine all the sides to see if your answer is correct.

Answer: 10%

Step-by-step explanation: The formula to calculate simple interest is Interest = Principal x Rate x Time

With the number in the formula, 112.50 = 1,250 x r x 1

Simplify:

112.50 = 1,250r

Divide both sides by 1,250:

.1 = r

Therefore, the rate is 10%

Answer:

Completing the square.

Step-by-step explanation:

since there is no "a" term and the bx term is even, completing the square is your best bet.

For this case we have as a simpler method the factorization. We must find two numbers that multiplied as a result +3 and added as a result +4.

These numbers are:

3 and 1.[tex]3 + 1 = 4\\\\3 * 1 = 3[/tex]

So, we have to:

[tex]x ^2 + 4x + 3 =\\(x + 3) (x+1)[/tex]

Answer:

[tex](x + 3) (x + 1)[/tex]

Answer:

The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to the nearest hundredth. A calculator may be helpful.

a = 18, b = 26, c = ?

A. C=31.78

B. C=31.16

C. C=31.62

D. C=31.46

Step-by-step explanation:

[tex]\sqrt{18^{2}+26^{2}  }[/tex]

Answer:

About $31,200

Step-by-step explanation:

Answer:

π/64

Step-by-step explanation:

assuming that c= circumference, and the circumference being 2πr(radius), then r=1/8 because 2π/8=π/4. to find the area, we use the formula πr^2, or π*1/8^2, or π/64

Answer:

7238 cm³

Step-by-step explanation:

The radius of the great circle is the radius of the sphere.

The formula for the volume of a sphere is

V = ⁴/₃πr³

V = ⁴/₃π (12)³ = ⁴/₃π × 1728 = 2304π cm³ ≈ 7238 cm³

Volume is a three-dimensional scalar quantity. The volume of a sphere with a great circle of radius 12 cm is 7238.2295 cm³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface. It is a three-dimensional scalar quantity.

The volume of the sphere with a radius of 12 cm is,

The volume of the sphere = 4/3 πr³

                                            = (4/3) × π × (12)³

                                            = 7238.2295 cm³

Learn more about Volume:

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Answer:

5.66038

Step-by-step explanation:

Given  

Mean= μ=100

SD= σ=5.3

Z-score of 130= ?

The z-score of any value tells us that how many standard deviations that value is from the average or mean.

The Z-score of any data value is found by subtracting the mean from it and then dividing by the standard deviation.

z-score=  (x- μ)/σ

z-score of 130=  (130-100)/5.3

=30/5.3

=5.66038

Answer:67

Step-by-step explanation:

Answer:  x = {-1, 1, -i√2, i√2, -3, 4}

Step-by-step explanation:

(x² - 1)(x² + 2)(x + 3)(x - 4)(x+1)=0

Set each factor equal to zero and solve.

x² - 1 = 0  →  x² = 1  →  x = ±1

x² + 2 = 0  →  x² = -2  →  x = ± i√2

x + 3 = 0  →  x = -3

x - 4 = 0  →  x = 4

x + 1 = 0  →  x = -1   (note that -1 is a duplicate - solved from the first factor)

Answer:

Answer:  x = {-1, 1, -i√2, i√2, -3, 4}

Step-by-step explanation:

Answer:

V=8xxxyyy=8x³y³

Step-by-step explanation:

In the question, V=lwh, the value for l is given to us as 2xy. Because it is a cube, all of the length of the edges are the same, so l=w=h, which means w=2xy and h=2xy.

Plug in w=2xy h=2xy l=2xy into the equation V=lwh.

V=2xy·2xy·2xy

V=(2·2·2)(x·x·x)(y·y·y)

V=8xxxyyy=8x³y³

Answer:

D

Step-by-step explanation:

An exponential function which crosses through (1,3) and (2,9) will have a base of 3 since the y values are multiples of 3.

3^1 = 3

3^2 = 9

This means that the function is y = 3^x.