Which expression can be used to find the surface area of the following rectangular prism? Choose 1 answer: (Choice A) A 15+15+10+10+6+615+15+10+10+6+615, plus, 15, plus, 10, plus, 10, plus, 6, plus, 6 (Choice B) B 10+10+6+610+10+6+610, plus, 10, plus, 6, plus, 6 (Choice C) C 15+15+10+10+615+15+10+10+615, plus, 15, plus, 10, plus, 10, plus, 6 (Choice D) D 10+610+6

Answer:

diameter=14

radius =14/2=7

area =πr²

hope it helps

Step-by-step explanation:

Area of circle = 2π r²

diameter is 14 cm so radius will be 7 cm

= 2 × 22/7 × 7 × 7

= 44 × 7

= 308 cm²

Answer:

If your doing the worksheet I think you are doing then plane z is XTV, XVL, or LTV.

Step-by-step explanation:

The single power expression for 6^3 x 6^0 is given as follows:

6³.

The expression for this problem is defined as follows:

6^3 x 6^0.

When two terms with the same base and different exponents are multiplied, we keep the base while adding the exponents.

Hence the single power expression for 6^3 x 6^0 is obtained as follows:

6^3 x 6^0 = 6^(3 + 0) = 6³.

More can be learned about exponents at https://brainly.com/question/11975096

#SPJ1

The 1,662.5 foot-pounds of work is done lifting a 30-pound object from the ground to the top of a 35-foot building if the cable used weighs 0.5 pounds per foot.

To determine how much work is done lifting a 30 pound object from the ground to the top of a 35-foot building, if the cable used weighs 0.5 pounds per foot, we need to consider the formula for work.

This is expressed as

Work = Force x Distance x Cosine (theta).

Where; Force is the weight being lifted, Distance is the height being lifted and Theta is the angle between the force vector and the displacement vector.

To find the distance, we subtract the initial height from the final height, which gives us:

Distance

= 35ft - 0ft

= 35ft

Then the weight of the cable will also be lifted and must be added to the weight of the object, so the total weight to be lifted becomes:

Total weight = weight of object + weight of cable

Total weight = 30lb + 0.5lb/ft × 35ftTotal weight

= 30lb + 17.5lb

= 47.5lb

Now we can determine the work done by lifting the object and the cable with the formula, Work = Force x Distance x Cosine (theta)Work

= 47.5lb × 35ft × Cosine (0°)Work

= 1,662.5 foot-pounds.

To know more about pounds visit:-

https://brainly.com/question/27994061

#SPJ11

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x−5=2−4x(x−1)

Step 1: Simplify both sides of the equation.

−2x−5=−4x^2+4x+2

Step 2: Subtract -4x^2+4x+2 from both sides.

−2x−5−(−4x^2+4x+2)=−4x^2+4x+2−(−4x^2+4x+2)

4x^2−6x−7=0

For this equation: a=4, b=-6, c=-7

4x^2+−6x+−7=0

Step 3: Use quadratic formula with a=4, b=-6, c=-7.

x=−b±√b2−4ac/2a

x=−(−6)±√(−6)2−4(4)(−7)/2(4)

x=6±√148/8

Answer:

its to show data like rainfall how many people does the teacher get per year

Step-by-step explanation:

Answer: The answer is: a

Therefore, based on the given information, the estimated age of the tomb is approximately 3,970 years.

To estimate the age of the tomb based on the radioactive carbon-14 (C-14) content in the cypress beam, we can use the decay equation:

A = A₀ * e*(kt)

Where:

A = Final amount of radioactive substance (55% of the original C-14 content)

A₀ = Initial amount of radioactive substance (100% of the original C-14 content)

k = Decay constant (ln(2) / half-life of C-14)

t = Time (age of the tomb)

Given that the half-life of C-14 is approximately 5600 years, we can calculate the decay constant:

k = ln(2) / 5600 years

Now we can plug in the values:

0.55A₀ = A₀ * e*((ln(2) / 5600 years) * t)

Dividing both sides by A₀:

0.55 = e*((ln(2) / 5600 years) * t)

Taking the natural logarithm of both sides:

ln(0.55) = (ln(2) / 5600 years) * t

Now we can solve for t, the age of the tomb:

t = (ln(0.55) * 5600 years) / ln(2)

Evaluating the expression:

t ≈ 3,970 years

To know more about estimated age,

https://brainly.com/question/30358582

#SPJ11

Answer:

might be wrong but i think A

Step-by-step explanation:

Answer:

the modulus of a complex number z = a + bi is:

Izl= √(a²+b²)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nl = 3√10

√(a² + b²+ 2²+ 6²)= 3√10

√(a^2 + b^2 + 40) = 3√10

squaring both side

a²+b²+40 = 3^2*10 = 9*10 =90

a²+b²= 90 - 40

a²+b²=50

So,

|n|=√(a^2 + b^2) = √50

The modulus of n must be equal to the square root of 50.

now

values a and b such

a^2 + b^2 = 50.

for example, a = 5 and b = 5

5²+5²=25+25= 50

Then a possible value for n is:

n = 5+5i

Answer:

2x + (x + 2)

Step-by-step explanation:

Let the number = x

"twice a number" means 2x

"increased by the sum of the same number and five" means to add x + 5, so the expression is

2x + (x + 2)

Cyphon, this is the solution:

We have to multiply the following fractions:

7/12 * 4/3

7 * 4 / 12 * 3

28/36

Simplifying, we have:

7/9 (Dividing by 4 numerator and denominator)

We have to add the following fractions:

- 1/2 + 4/9

Let's find the lowest common denominator between 2 and 9, as follows:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

9, 18, 27, 36

The lowest common denominator is 18

Answer:

the equation is y=1/2+0.5

Answer: Deb reflected △RST over the y-axis and then dilated it by a scale factor of 3.

Step-by-step explanation:

Given: Deb transformed △RST so that △RST~ΔR'S'T'. Point R is located at (4, 2) and point R' is located at (-12, 6).

Clearly, both coordinates is multiplied by 3 and polarity of x-coordinate changed.

i.e. she reflected △RST over y-axis such that \((x,y)\to(-x,y)\)

then she dilated it by using a scale factor of 3 such that \((-x,y)\to (-3x,3y)\)

hence, the correct series of transformation:

Deb reflected △RST over the y-axis and then dilated it by a scale factor of 3.

Answer:

x=67 y=113 x=52

Step-by-step explanation:

85+28= 113

180-113=67

67= x

67+28=95

95+85=180

y= 28+ 85 =113

113+15= 128

180-128=52

52=x

Answer:

6 and 2 this is the answer my child.

The minimum value of V occurs at x ≈ 0.93, which means that the volume of the box is smallest when the height is about 0.93 units.

To find the extreme values of V, we need to take the derivative of V and set it equal to zero. So, let's begin:

\(V(x) = x(10-2x)(16-2x)\)
Taking the derivative with respect to x:
\(V'(x) = 10x - 4x^2 - 32x + 12x^2 + 320 - 48x\)
Setting V'(x) = 0 and solving for x:
\(10x - 4x^2 - 32x + 12x^2 + 320 - 48x = 0\\8x^2 - 30x + 320 = 0\)
Solving for x using the quadratic formula:
\(x = (30 ± \sqrt{(30^2 - 4(8)(320))) / (2(8))\\x = (30 ± \sqrt{(1680)) / 16\\x = 0.93 or x =5.07\)
So, the extreme values of V occur at x ≈ 0.93 and x ≈ 5.07. To determine whether these are maximum or minimum values, we need to examine the second derivative of V. If the second derivative is positive, then the function has a minimum at that point. If the second derivative is negative, then the function has a maximum at that point. If the second derivative is zero, then we need to use a different method to determine whether it's a maximum or minimum.

Taking the second derivative of V:
V''(x) = 10 - 8x - 24x + 24x + 96
V''(x) = -8x + 106

Plugging in x = 0.93 and x = 5.07:
V''(0.93) ≈ 98.36 > 0, so V has a minimum at x ≈ 0.93.
V''(5.07) ≈ -56.56 < 0, so V has a maximum at x ≈ 5.07.

Now, to interpret these values in terms of the volume of the box, we need to remember that V(x) represents the volume of a box with length 2x, width 2x, and height x. So, the maximum value of V occurs at x ≈ 5.07, which means that the volume of the box is greatest when the height is about 5.07 units. The minimum value of V occurs at x ≈ 0.93, which means that the volume of the box is smallest when the height is about 0.93 units.

learn more about extreme values

https://brainly.com/question/1286349

#SPJ11

a) The extreme values of V are:

Minimum value: V(0) = 0

Relative maximum value: V(3) = 216

Absolute maximum value: V(4) = 128

b) The absolute maximum value of V at x = 4 represents the case where the box has a square base of side length 4 units, height 2 units, and width 8 units, which has a volume of 128 cubic units.

a) To find the extreme values of V, we first need to find the critical points of the function. This means we need to find where the derivative of the function equals zero or is undefined.

Taking the derivative of V(x), we get:

\(V'(x) = 48x - 36x^2 - 4x^3\)

Setting this equal to zero and solving for x, we get:

\(48x - 36x^2 - 4x^3 = 0\)
4x(4-x)(3-x) = 0

So the critical points are x = 0, x = 4, and x = 3.

We now need to test these critical points to see which ones correspond to maximum or minimum values of V.

We can use the second derivative test to do this. Taking the derivative of V'(x), we get:

\(V''(x) = 48 - 72x - 12x^2\)

Plugging in the critical points, we get:

V''(0) = 48 > 0 (so x = 0 corresponds to a minimum value of V)
V''(4) = -48 < 0 (so x = 4 corresponds to a maximum value of V)
V''(3) = 0 (so we need to do further testing to see what this critical point corresponds to)

To test the critical point x = 3, we can simply plug it into V(x) and compare it to the values at x = 0 and x = 4:

V(0) = 0
V(3) = 216
V(4) = 128

So x = 3 corresponds to a relative maximum value of V.
b) In terms of the volume of the box, the function V(x) represents the volume of a rectangular box with a square base of side length x and height (10-2x) and width (16-2x).
The minimum value of V at x = 0 represents the case where the box has no dimensions (i.e. it's a point), so the volume is zero.
The relative maximum value of V at x = 3 represents the case where the box is a cube with side length 3 units, which has a volume of 216 cubic units.
for such more question on extreme values

https://brainly.com/question/30886356

#SPJ11

Answer:

i think option b is correct

Step-by-step explanation:

The equation that we can be able to use in this case is d = 45h.

The equation of a straight line is typically represented in slope-intercept form, which is given by:

y = mx + b

By knowing the slope (m) and the y-intercept (b), you can write the equation of a straight line. The slope represents how much y changes for a given change in x, while the y-intercept determines where the line crosses the y-axis.

We know that the slope of the line can be found from;

m = \(y_{2} - y_{1} /x_{2} - x_{1}\)

m = 90 - 45/2 - 1

= 45

Then we have that;

d = 45h

Learn more about equation of a straight line:https://brainly.com/question/31693341

#SPJ1

Answer:

Step-by-step explanation:

increasing he number by 50%

look 25 x 2 = 50 woah duable  means  add th number again boom 50%

Answer:

third option (mult by 1.25)

Step-by-step explanation:

let's say the number is 10

now double it to get 20

now increase it be 25% which is the same as multiplying by 125% or 1.25; you will get 25

53 is a prime number !!

Answer:

53

Step-by-step explanation:

Answer is 53:)

The volume of the  is right triangular prism is   600 cubic feet.

In a right triangular prism, the area of the triangular base is 50 square feet, and the height of the prism is 12 feet. To find the volume of the prism, we can use the formula:

Volume = Base Area × Height

Step 1: Identify the base area, which is given as 50 square feet.
Step 2: Identify the height of the prism, which is given as 12 feet.
Step 3: Multiply the base area by the height to find the volume.

Volume = 50 square feet × 12 feet = 600 cubic feet

So, the volume of the right triangular prism is 600 cubic feet.

To know more about "Volume" refer here:

https://brainly.com/question/29255732#

#SPJ11

Answer:

y = -8/5x + 16

Step-by-step explanation:

The slope-intercept form is y = mx + b

m = the slope

b = y-intercept

The slope = rise/run or (y2 - y1) / (x2 - x1)

Pick 2 points (0,16) (5,8)

We see the y decrease by 8 and the x increase by 5, so the slope is

m = -8/5

The Y-intercept is located at (0,16)

So, the equation is y = -8/5x + 16

The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin

3. No because it's a line that doesn't go through the origin

4. Yes because it's a line through the origin

5. Yes because 1/3 = 2/6 = 3/9 = 4/12

6. No because 4/2 isn't equal to 8/5

7. Draw a graph just like 4., but change the y-axis

8. a. Let the equation be y = ax. 27 = 3a. a = 9. Therefore the equation is y = 9x.

8. b. 9

8. c. 9 * 5 = 45

9. a. The car travels 25 (> 18) miles per gallon of gasoline.

9. b. 25 * 8 - 18 * 8 = 7 * 8 = 56

Answer:

24 brushes

Step-by-step explanation:

Given data

cost per brush= $19.90

Amount made =$477.60

hence the number of brushes sold is given as

Number of brushes= 477.60/19.90

Number of brushes= 477.60/19.90

Number of brushes= 24 brushes

Answer:

(2, -3)

Step-by-step explanation:

The  x-axis is the perpendicular bisector of a segment with an endpoint of (2,3).

A perpendicular bisector is a line which is perpendicular to a segment, dividing the segment into two equal parts. The perpendicular bisector passes through the midpoint of the segment.

Since the x axis bisects a segment with an endpoint of (2,3) perpendicularly, hence a point on the x axis is the midpoint of the segment. The midpoint would have the same x coordinate as the endpoint.

Hence, the midpoint is (2, 0).

Let (x, y) be the other endpoint, then:

(2, 0) is the midpoint of the segment joining (2, 3) and (x, y). we find the value of x and y using:

(2 + x) / 2 = 2;  and (3 + y) / 2 = 0

2 + x = 4;  and 3 + y = 0

x = 4 - 2 ;    and y = 0 - 3

x = 2; and y = -3

Hence the other endpoint is at (2, -3)

Because the x-axis is the perpendicular bisector of a segment with an endpoint of (2, 3), we will see that the other endpoint must be at (2, -3).

First, we know that the x-axis is perpendicular to our segment, so our segment must be a vertical segment. This means that there can't be a variation in the x-values between the endpoints.

So, if one endpoint is (2, 3), then the other must be (2, y).

To find the value of y we use the fact that the x-axis is also a bisector, so it divides the segment in two equal parts, then we must have y = -3

In this way, we can conclude that the other endpoint is (2, -3)

If you want to learn more about segments, you can read:

https://brainly.com/question/14366932

Answer:

She used 600 square inches of paper.

Step-by-step explanation:

Since the box are 15 in x 10 in x 2 in and are stacked on top of each other, they form a bigger rectangular prism with 15 in x 10 in x 6 in. In order to calculate how much paper she used, we need to calculate the surface area of this prism, this is done by using the following formulla:

surface area = 2*width*length + 2*width*height + 2*length*height

surface area = 2*15*10 + 2*15*6 + 2*10*6 = 300 + 180 + 120

surface area = 600 in².

She used 600 square inches of paper.

Answer:

1 bag of rice is $1.50

Step-by-step explanation:

Take the cost and divide by the number of bags of rice

$3 / 2 bags

1.50 per bag

1 bag of rice is $1.50

Answer:

the correct answer is 5 snowmen

To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

Learn more about square feet here : brainly.com/question/30678567

#SPJ11