what do you mean by DEFCON ?

The surface area of a rectangle can be calculated by multiplying its length by its width. Since the given dimensions are 8yd and 6yd, the surface area, or more accurately the area, would be 48yd2.

The answer is 48yd2.

Surface area in mathematics refers to the total measure of the exposed outer surfaces of a three-dimensional object, like a cube, sphere, or cylinder. It is calculated by finding the sum of the areas of all the individual surfaces. For example, in a cube, you would add the areas of all six square faces. Surface area plays a crucial role in geometry and real-life applications like packaging design and construction. It helps quantify the amount of material needed and aids in solving problems related to shapes and volumes.

The surface area of a rectangular prism (which includes a box or cuboid shape) is found using the formula: 2lw + 2lh + 2wh, where l equals length, w equals width (or breadth), and h equals height. However, if we are dealing with a rectangle, since it's a two-dimensional figure, the surface area would be its area, which can be found with the formula length x width.

In your case, you only provided the length and width so I would assume that we are dealing with a rectangle. Therefore, to find the area, you just need to multiply the length by the width: 8yd x 6yd = 48yd2.

The answer is 48yd2.

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Answer:

store A

Step-by-step explanation:

Answer:

orehwfociuxsh8tq23rjwfhdfyvbndm

Step-by-step explanation:

yes, if the question is asking for a mixed number.

Answer:

5 1/2 would be a better answer or 5.5 in decimal form

hope this helps :)

Answer:

5/18

Step-by-step explanation:

There are 9 pieces of fruit in the bowl,  tangerines and 5 clementines.

Assuming that they do not put the fruit back

P (tangerine) = number of tangerines/ total = 4/9

Then John keeps his and there are  8 pieces of fruit in the bowl,  

3 tangerines and 5 clementines.

P (Clementine) = number of clementines/ total = 5/8

P (tangerine, no replacement, Clementine) = P (tangerine) * P (Clementine)

                                                                        = 4/9 * 5/8 =5/18

Answer:

5/18

Step-by-step explanation:

1. Find each of their probabilities separately

2. John= # of tangerines/ total # of fruit

3. John = 4/9

4. Pam = # of clementines/ total # of fruit left

5. Pam= 5/8

6. Multiply the two together to get the probability that both pick the fruit they want

7. 4/9 times 5/8

8. 5/18

Answer:

A) 9841

Step-by-step explanation:

Formula of geometric sequence:

[tex]S_n=\frac{a_1*(r^n-1)}{r-1} \\[/tex]

First,  calculate the common ratio (r) of the sequence.

It can be calculated by dividing any term of the geometric sequence by the term preceding it.

[tex]r = \frac{27}{9}\\ \\r=3[/tex]

Then

[tex]Sum = \frac{1(3^9-1)}{3-1} \\\\Sum = \frac{3^9-1}{2}\\ \\Sum=\frac{19683-1}{2} \\\\Sum = \frac{19682}{2} \\\\Sum=9841[/tex]

Answer:

x = 0, π/4, π, 7π/4

Step-by-step explanation:

sin(2x) = √2 sin x

Use double angle formula.

2 sin x cos x = √2 sin x

Move everything to one side.

2 sin x cos x − √2 sin x = 0

Factor.

sin x (2 cos x − √2) = 0

Solve.

sin x = 0, cos x = ½√2

x = 0, π/4, π, 7π/4

Answer:

The amount left with Valentina is $10,000.

Step-by-step explanation:

The question is:

Valentina goes shopping at the mall with $50,000. She spends 3/5 of that amount on a diver and half the rest on a skirt. How much money does Valentina have left?

The original amount Valentina had was, P = $50,000.

Compute the amount spent on a diver as follows:

D = [tex]\frac{3}{5}th[/tex] of $50,000

   [tex]=\frac{3}{5}\times 50000\\=30000[/tex]

The amount spent on a diver was, D = $30,000.

Amount left:

A = P - D

   = 50000 - 30000

   = 20000

Compute the amount spent on a skirt as follows:

S = [tex]\frac{1}{2}[/tex] of $20,000

  [tex]=\frac{1}{2}\times 20000\\=10000[/tex]

Amount left:

A₁ =  A - S

   = 20000 - 10000

   = 10000

Thus, the amount left with Valentina is $10,000.

Answer:

The number of people that attended in scientific notation is 2.25 x 10^5.

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

The probability William will pick a piece of grape gum is 1/5.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

Total gums= 50

The probability of picking cherry is 1/5.

and, probability of picking watermelon is 3/10.

As, we know the probability of all vents sum upto 1.

So, P(picking a grape gum)

= 1- 1/5 - 3/10

= 10-2-3/ 10

=5/10

=0.5

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Answer:

3 mins 45 seconds

Step-by-step explanation:

According to the question, Michelle walks at a speed of 320 feet per minute her friend Diana Liz 400 yards from the shelves house approximately how many minutes will Michelle need to walk from her house to Diana's house and back

----First of all we have to work out in only a unit(since there are 2 units involved;feet and yards)

So,let's change the feet to yards

1 foot = 3 yards

X = 400 yards

X = 400 × 3

X = 1200 feet

Speed = distance/time

320 = 1200/x

X = 1200/320

X = 3.75 mins or 3 mins 45 secs

Multiply each exponent inside the parentheses by the exponent on the outside:

8^(-5 x -4) / 2^(-2 x -4)

8^20 / 2^8

The answer is C

Answer:

[tex]23,578,000 = 2.3578 \times {10}^{7} \\ [/tex]

Answer:

96 bricks

Step-by-step explanation:

In this question, we are asked to calculate the number of bricks which are needed by a mason given the number of bricks needed to complete each of the course.

From the question, we can identify that we have 4 rows to be filled with each of the rows being 24 bricks long.

now , to calculate the number of bricks needed to be moved by the mason, our work is pretty straightforward. what we simply need to do is to multiply the number of rows by the number of bricks per course.

According to this question specifically, this is equal to a value of 4 * 24 = 96 bricks

Answer:

11/4 or 2.75 pints

Step-by-step explanation:

We want to find the difference between the original amount of blueberries and the amount she ate

original amount-amount ate

3 1/2 -3/4

To subtract, we need common denominators

The common denominator of 2 and 4 is 4

3 1/2=7/2

Multiply by 2/2 to get a common denominator of 4

7/2*2/2=14/4

Now, we have common denominators and can subtract

14/4-3/4

Subtract the numerators, and leave the denominators as 4

11/4 =2.75

She has 11/4 or 2.75 pints left

Answer: 5.2 inches

Step-by-step explanation:

Hi, first we have to find the volume of the cylinder shaped bottles:

V = π r^2 h

where:

V =volume

r= radius

h= height

Replacing with the values given:

V = π 2^2 (12)= 150.80 cubic inches

Since there are 2 bottles

Total punch: 2V = 301.59 cubic inches

The formula for the volume of a half-sphere is

V = (2 / 3) π r3.

Since the half-sphere is filled with the two bottles of punch (301.59 cubic inches)

301.59 =(2 / 3) π r3.

301.59/ (2/3) π =r3

144 =r3

∛144 =r

5.2 inches =r

Answer:

This formula is in slope-intercept form. 3 is the slope (positive slope) and -2 is the y-intercept.

Hi there!

Your answer is:

The slope is 3 and the y-intercept is 2 or (0, 2).

Have a good day

~ Mqddie

Answer:

A) P = 240

B) P + Po = 1040

C) P = 270.58

D) P+Po = 1070.58

E) Option B (compound interest) is better, as it generates more interest for the same inicial value, rate of interest and time

Step-by-step explanation:

The formula for simple interest is:

P = Po*r*t

Where P is the interest earned, Po is the inicial value, r is the rate of interest and t is the time.

The formula for compound interest is:

P+Po = Po*(1+r)^t

So we have that:

A) P = 800*0.06*5 = 240

B) P + Po = 800 + 240 = 1040

C) P+Po = 800*(1+0.06)^5 = 1070.58 -> P = 1070.58 - 800 = 270.58

D) P+Po = 1070.58

E) Option B (compound interest) is better, as it generates more interest for the same inicial value, rate of interest and time

Answer:

<x = 147

Step-by-step explanation:

Supplementary angles is when the sum of the two angles are equal to 180

So the sum of angle x and angle y is equal to 180

y = 33

x + y = 180

x + 33 = 180

x = 180 - 33

x = 147

Answer:

x = 147°

Step-by-step explanation:

x ; y = suplementary =>

x + y = 180°  } => x = 180° - 33° = 147°

y = 33°

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

Let [tex]\bar X[/tex] = sample mean comprehensive strength

The z-score probability distribution for sample mean is given by;

                          Z = [tex]\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)

where, [tex]\mu[/tex] = population mean comprehensive strength = 5500 psi

            [tex]\sigma[/tex] = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P([tex]\bar X[/tex] > 4985 psi)

    P([tex]\bar X[/tex] > 4985 psi) = P( [tex]\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] > [tex]\frac{4985-5500}{\frac{100}{\sqrt{9} } }[/tex] ) = P(Z > -15.45) = P(Z < 15.45)

                                                                  = 0.99999

Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.

Answer: The rocket will reach its max after 4 seconds

Step-by-step explanation:

Hi, to find the maximum height, we have to set the first derivative of the equation equal to zero.

y=-16x^2+128x+136

0 = (2)-16x +128  

0= -32x+128

Solving for x:

32x = 128

x = 128/32

x = 4 seconds

The rocket will reach its max after 4 seconds

Feel free to ask for more if needed or if you did not understand something.

Answer:

9.207

Step-by-step explanation:

To get the amount of starbucks for the population we can do

[tex]\frac{13 * 1629000}{100000}[/tex]

which gives us 211.77 total Starbucks in 23 miles.

To get starbucks per mile, we divide this number by 23.

This gives us 9.207

Answer:

94°

Step-by-step explanation:

The internal angles of a 7-sided shape add up to 900°

[tex]900=90+148+140+136+x+142+150\\x=94[/tex]

Answer:

After the first rotation

A^ prime = (- 2, 3)

After the next two transformations, A^ = A = (2. -3)

Step-by-step explanation:

Here we have that

Rotation of 180 °clockwise about the origin will result in the inversion of the vertex point A such that the coordinates will be (- 2, 3)

Reflection over the x axis and a reflection over the y axis combined will revert the triangle back to its initial position

Therefore after the first rotation

A^ prime = (- 2, 3)

After the next two transformations, A^ = A = (2. -3).

Answer:

the distance between the right edge of the painting and right edge of the wall = 8.8 ft

Step-by-step explanation:

From the question, the painting is hung in center of a rectangular wall and so the distance between them on either side will be the same.

Thus, we will divide the length of the painting and wall by 2 to get  2.4/2 = 1.2 ft and 20/2 = 10 ft .

So, the distance between the right edge of the painting and right edge of the wall will be;

D = 10 - 1.2 = 8.8 ft

Answer:

a. 3x=5  Positive Solution

Reasoning: You're working with only positives

b. 5z+7=3  Negative Solution

Reasoning: If you carry the 7 over the non-coefficient numbers will be negative thus making your answer negative

c. 7-5w=3  Positive Solution

Reasoning: both the coefficients and the non coefficients will be negative if solved and thus will result in the negatives becoming positive when dividing the 5w

d. 4a=9  Positive

Reasoning: The first step would be to divide the 9 by 4 and the resulting number would be positive

e. y=y+1 Negative Solution (No solution)

Reasoning: y can never equal itself with changing. Thats like saying 0 is 1. This has no solution but based on the rules this is negative solution

The solutions to the equations are: a. Positive solution, b. Negative solution, c. Negative solution, d. Positive solution, and e. No solution.

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Answer:

The distance of the ship from the shoreline is 113 metres.

Step-by-step explanation:

Please kindly check the attached files for explanation

Answer:

The distance of the ship to the shoreline is 113 meters

Step-by-step explanation:

Here we have the following information

Location of lighthouse = 10 m back from the edge of the shoreline

Height of beacon above sea level = 52 m

Level of the eyes of Lucy above sea level = 12 m

Angle of elevation of the beacon from Lucy = 18°

Therefore, the beacon, the elevation of the eyes of Lucy and the base of the lighthouse at the same elevation with Lucy form a right triangle with opposite side to angle = 52 m and angle = 18 °

Therefore, from

[tex]Tan\theta =\frac{sin\theta }{cos\theta } = \frac{Opposite \, side \, to\, angle}{Adjacent\, side \, to\, angle}[/tex]

We have

[tex]Tan18 =\frac{52-12}{Adjacent } = \frac{40}{Adjacent}[/tex]

0.325 = [tex]\frac{40}{Adjacent}[/tex]

Where the adjacent side is the distance of the ship from the lighthouse

Adjacent side = 40/0.325 = 123.107 meters

We recall that the lighthouse is 10 m back from the edge of the shoreline, therefore the ship is 123.107 - 10 or 113.107 meters from the shore line which is 113  meters to the nearest meter.

Answer: The system will succeed when the first alarm rings or when the first one fails, but the second one rings. The probability of this is 0.98

The probability of system failure is 1-(probability of success)= 1-0.98= 0.02

Step-by-step explanation:

Answer:

The system will succeed when the first alarm rings or when the first one fails, but the second one rings. The probability of this is 0.98

The probability of system failure is 1-(probability of success)= 1-0.98= 0.02

Step-by-step explanation:

Plato

Answer:

1) f(x) = x/8 - 7

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

3) f(x) = 20 - 0.25x

4) f(x) = x + 7

Step-by-step explanation:

f^-1 = 8(x + 7)

x + 7 = y/8

x = y/8 - 7

f(x) = x/8 - 7

f^-1 = -3(x - 1)

y/-3 = x - 1

x = 1 - y/3

f(x) = 1 - x/3

f^-1 = 4(20 - x)

y/4 = 20 - x

x = 20 - y/4

f(x) = 20 - x/4

f(x) = 20 - 0.25x

f^-1 = x - 7

y = x - 7

x = y + 7

f(x) = x + 7

Answer:

Answer is 3

Step-by-step explanation: