The volume of a rectangular box is 5760 units^3
the surface area is 2002 units^2
The sum of the edges of the box sum up to 216 units
If the edges of the box are increased by 1 unit , work out the new volume of the box

Answer:

Find the rectangle's area on the left hand side, using the formula:

A = l x w

Where 'l' represents the length and 'w' stands for the width.

Plug in what you know:-

A = l x w

A = 15 x 5

A = 75 square units is the area of the left rectangle.

Now let's find the rectangle's area on the right hand side, using the formula:

A = l x w

Where 'l' represents the length and 'w' stands for the width.

A = l x w

A = 15 x 4

A = 60 square units is the area of the right rectangle.

Now find the middle small horizontal rectangle's area, using the formula:

A = l x w

Where 'l' represents the length and 'w' stands for the width.

But, let's figure out the length first.

We know that from the left rectangle, the two side lengths beside the unknown length of the middle rectangle area 5 and 7.

The unknown length plus those two lengths (5&7) will have to equal 15 since that is the total length, so;

15 - (5 + 7) = x

15 - 12 = x

3 = x, so the unknown length of the middle rectangle is 3.

Plug in what you know into the formula:

A = l x w

A = 3 x 7

A = 21 square units is the area of the middle rectangle.
Now add up all the areas together:

75 + 60 + 21

= 156 square units is the area of the shape.

Step-by-step explanation:

10.4feet by 7.4feet11.1 feet by 8.1 feet

Answer:

x=6 y=2

Step-by-step explanation:

y=2

so 6x+9(2)=-24

6x+18=-24

6x=42

x=6

Answer:

It's B, because thats where the two points cross

Step-by-step explanation:

Answer:

A. 7.93 x 104

Step-by-step explanation:

[tex]y\geq 2x-5[/tex]

This is because the equation of the line is y=2x-5, and the y-values have to be greater, so it is >, and since the line is not dotted, it would become greater than or equal to.

Answer:

I like turtlesion:



Step-by-step explanation:

the answer is easy you take 2 + 2 + 2 + 2 + 2 + 2 + 2 and then you got8 twos so you kind of want to do that and add another number to the 8th and then got 82 there's a step-by-step explanation and this is not actually not the answer I just want to fool around with some people

Answer:

D. Keep track of the number of heads flipped in 50 flips. These represent the number of females born today. Repeat this 200 times.

Step-by-step explanation:

Answer: Ava doesn’t have sufficient evidence to reject the fast-food chains claim.

Step-by-step explanation: I got it right on the quiz lol

Ava doesn’t have sufficient evidence to reject the fast-food chain's claim that option (C) is correct.

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

It is given that:

A fast-food chain claims one small order of its tater tots weighs 90 grams.

She weighs the next 14 random orders of tater tots before she eats them.

The sample mean X = 89.3 grams

The standard deviation SD = 3.71 grams

Z = (u - X)/sd

Z = (90 - 89.3)/3.71

Z = 0.18

Thus, Ava doesn’t have sufficient evidence to reject the fast-food chain's claim that option (C) is correct.

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Answer:

p = 34d * k - 6000d

Step-by-step explanation:

profit equals to the number of skates sold that number - the rent for the building

Answer:

5[4 - 7x]

Step-by-step explanation:

Given expression:

20 - 35x

To factorize the expression, we need to determine the GCF of the terms.

Since "5" is the largest factor in both terms, the GCF is 5.

Factorize the expression using the GCF:

Thus, 5[4 - 7x] is equivalent to 20 - 35x.

3Answer: 1305yard²

Step-by-step explanation:

Area is length multiplied by the width

29 × 45 =

Answer:

Mean: 10.5

Median: 6.5

Step-by-step explanation:

To find mean, find the sum of all of the numbers, then divide the sum by how many numbers there are in the data set.

8 + 7 + 6 + 3 + 47 + 7 + 4 + 2 = 84

84 ÷ 8 = 10.5

To find the median, list the numbers in order from least to greatest, then take one number off from each end of the data set until you get to the middle.

2, 3, 4, 6, 7, 7, 8, 47

In the middle lie numbers 6 and 7. To get the median, find the sum, then divide it by 2.

6 + 7 = 13

13 ÷ 2 = 6.5

hope this helps!

Answer:

Maddie has 6 cookies

Step-by-step explanation:

Let a symbolise the sugar cookies

so, Jacob has 3a

And Mary has double of Jacob's cookies

Hence,

3a * 2

= 6 cookies

Answer:

       a = 3

        b = 4

Step-by-step explanation:

Simultaneous equation

              3a = 2b + 1

         3a - 2b = 1  ------------------(I)

               3b  = 5a - 3

       -5a + 3b = -3 --------------(II)

Multiply equation (I) by 3  & equation (II) by  2 and then add. So, now 'b' will be eliminated and we can find the value of 'a'.

(I)*3       9a - 6b = 3

(II)*2    -10a + 6b = -6  {Now add}

            -a            = -3

                       a = -3/(-1)

        [tex]\sf \boxed{a = 3}[/tex]

Plugin a = 3 in equation (I)

              3*3 - 2b = 1

                  9 - 2b = 1

                     -2b  = 1 - 9   {Subtracting 9 from both sides}

                      -2b = - 8        

                         b = (-8)/(-2)         {Dividing both sides by (-2_}

          [tex]\sf \boxed{b = 4}[/tex]                      

Answer:

  (a, b) = (3, 4)

Step-by-step explanation:

In order to eliminate one of the variables in this system of equations, both equations need to be multiplied by different numbers before they are added or subtracted. We can eliminate the 'b' variable by subtracting 3 times the first equation from 2 times the second. (Putting the 'b' terms on the same side of the equal sign makes this easier.)

__

  2(3b) -3(2b +1) = 2(5a -3) -3(3a)

  6b -6b -3 = 10a -6 -9a

  3 = a . . . . . . . add 6 and collect terms

  3b = 5(3) -3 . . . . use the second equation to find b from a

  b = 4 . . . . . . . divide by 3

The solution is (a, b) = (3, 4).

_____

The multiplier used in each case is the coefficient of the variable in the other equation. The two equations have 'b' coefficients of 2 and 3, so we multiplied the equations by 3 and 2 before subtracting. That makes the 6b terms cancel, leaving only terms with the 'a' variable.

By swapping sides of the equation the way we did, the 'a' terms end up on the same side of the equal sign, which is where we want them. Likewise, the 'b' terms end up on the same side of the equal sign, so their cancellation is easier to see.

Answer:

The answer is B.

Step-by-step explanation:

There isn't much to explain.

3/6 people like chocolate ice cream and x/600 where x is the number of people who like chocolate ice cream.

[tex]\frac{3}{6}=\frac{x}{600} \\[/tex]

Cross multiply to solve for x.

6*x = 3*600

6*x = 1800

x = 300

300 people like chocolate ice cream so about half of people like chocolate ice cream compare to 3/6 the same.

Answer:

in photo

Step-by-step explanation:

ur welcome fellow human

Step-by-step explanation:

11/6 !!

Please make me brainliest if this was helpful

Answer:

Step-by-step explanation:

To find the equation of the tangent to the given function, you must differentiate the function with respect to 'x'. The derivative (y prime) will give the tangent line at any point along the function. After we find the tangent equation, we let x equal zero which will alow us to find the slope at that point.

Begin by bringing the entire denominator to the top. If not, you'll have to do the quotient rule which is very annoying 99% of the time. You will get:

[tex]y=5(e^{2x} +3)^{-1}[/tex]

With this now, you can use the chain rule twice. Begin by differentiating:

[tex]\frac{dy}{dx} =5\frac{d}{dx} [e^{2x} +3)^{-1}][/tex]

Use the chain rule:

[tex]\frac{dy}{dx} =-5(e^{2x} +3)^{-2}\frac{d}{dx} [e^{2x} +3][/tex]

Use the chain rule again:

[tex]\frac{dy}{dx} =-5(e^{2x} +3)^{-2}[2e^{2x} ][/tex]

Simplify:

[tex]y'=-\frac{10e^{2x} }{(e^{2x}+3)^{2}}[/tex]

Let x = 0 to get:

[tex]y'=-\frac{10}{4^{2}} =-10/16=-5/8=-0.625[/tex]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Not my answer Props to this guys: https://brainly.com/question/14438192

Answer: B

Step-by-step explanation:

Answer:

The last option morgan didn't distribute the negative sign

Answer:

$1.62

Step-by-step explanation:

Penny = 1 cent

Dime = 10 cents

10 x 15 = 150 + 12 = 162

The equation could be used to calculate the sum of the geometric series is [tex]S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }[/tex]

Geometric sequence are sequence that increase expoentially. The formula for calculating the sum of an exponential sequence is expressed as:

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

where

From the given sequence

a= 1/3

r = 2/9 * 3 = 2/3

Substitute into the formula

[tex]S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }[/tex]

Hence the equation could be used to calculate the sum of the geometric series is [tex]S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }[/tex]

Learn more on geometric series here; https://brainly.com/question/24643676

Answer:

A

Step-by-step explanation:

edge

Answer:

-5, 22, 292

Step-by-step explanation:

Subbsittutoin mehtod

(i) n = 1 , 3n - 8

       = 3 x 1 - 8

                 = -5

(ii) n = 10 , 3n - 8

        = 3 x 10 - 8

                    =22

(iii) n = 100 , 3n - 8

         = 3 x 100 - 8

               = 300 - 8

                     = 292

Answer:

Option. C

Step-by-step explanation:

A and C are the two points of tangencies on sphere

There are two tangents to the sphere in the figure. Option C. is the correct option

A and C are the two points of tangencies of respective tangents that makes a perpendicular to the centre of the sphere of 'O' point ( lined on a plane circle of sphere ).

Answer:

b

Step-by-step explanation:

is the situation could the expression model.

The binomial distribution is applicable when only two outcomes are possible. The probability that the newspaper staff receives quotes from exactly 3 athletes is 0.1238.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Given that 18 of the senior DLT members are athletes, therefore, the probability of a DLT member being an athlete is,

[tex]P = \dfrac{18}{30} = \dfrac{6}{10} = 0.6[/tex]

Also, 12 of the senior DLT members are non-athletes, therefore, therefore, the probability of a DLT member being a non-athlete is,

[tex]q = \dfrac{12}{30} = \dfrac{4}{10} = 0.4[/tex]

Now, using the binomial distribution the probability that the newspaper staff receives quotes from exactly 3 athletes can be written as,

[tex]P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=3) = ^8C_3\cdot (0.6)^3\cdot (0.4)^{(8-3)}\\\\P(x=3) = ^8C_3\cdot (0.6)^3\cdot (0.4)^{(5)}\\\\P(x=3) = 0.1238[/tex]

Hence, the probability that the newspaper staff receives quotes from exactly 3 athletes is 0.1238.

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Answer:

1st option

Step-by-step explanation:

given a quadratic function in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then

• if a > 0 , the function opens up and has a minimum

• if a < 0 , the function opens down and has a maximum

here a = [tex]\frac{1}{2}[/tex] > 0

then f(x) opens up and has a minimum

Answer:

Option A, open up and have a minimum

Step-by-step explanation:

Step 1:  Determine if it opens up or down

Since the value of a is 1/2 which means that it's positive which also means that it opens up.  When a parabola opens up, that means that it has a minimum.  

The picture attached to this answer shows an example of how a graph would look when using this equation.  If a was -1/2 then the parabola would be facing down and would have a maximum.

Answer:  Option A, open up and have a minimum

Answer:

11 Cups

Step-by-step explanation:

Carlos used 3 pints of lemon juice and 5 times more water than lemon juice. So, he uses 3 x 5 = 15 pints of water for the lemonade. The amount of lemonade is 15 + 3 = 18 pints. Now he pours it equally into 4 jugs which makes it 18 ÷ 4 = 4.5 pints in each jug. Now 1 pint fills 2.4 cups which means 4.5 pints will fill 4.5 x 2.4 = 10.8 cups which will apprroximately be 11 cups.