If the farmer has 116 feet of fencing, what are the dimensions of the region with the largest area?

Answer: 267.9

Step-by-step explanation:

New diameter = 8 inches

Radius = 4 inches

Volume of a sphere = 4/3 π x r^3

= 4/3 * 3.14 * 4^3

= 267.9 cu. in.

Answer:

5

Step-by-step explanation:

The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.

Answer:

x = 108

Step-by-step explanation:

Start by finding what 2x equals

24 x 9 = 216

multiply 24 by 9 and you get 216

216 = 2x

now isolate for x by dividing both sides by 2, leaving x by itself on one side of the equation

216 / 2 = x

x = 108

Answer:

108=x

step-by-step explanation:

24(9)=2x

216=2x

216/2=2x/2

The perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.

Perimeter of a rectangle  = 2 (length and breadth)

the scale of the drawing is 1:500

let's assume that the length of the scale drawing playground is x and the breadth of the scale drawing playground is y. therefore, the length of the playground is 500x and the breadth is 500y.

Perimeter of the scale drawing playground = 2(length+breadth)

                                                                        [tex]= 2 (x+y)[/tex]

Perimeter of the real playground = 2(length+breadth)

                                                       [tex]=2 (500x+500y)\\=2 \times 500(x+y)\\= 1000 (x+y)[/tex]

Hence, the perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.

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Answer:

Choices B, D and E.

Step-by-step explanation:

This is simple logic.

If it was choice A, number of outfits won't be lower than number of days.

Choice B is right, because if you do this:

(3×2)(3×2)(3×2)=666 days

or

6÷3=2

(4×2)(4×2)(4×2)=888 outfits

or

8÷4=2

You would know the statement is true.

If it was choice C, it's not correct:

(3×3)(3×3)(3×3)=999 days

(4×3)(4×3)(4×3)=121212 outfits (this is the closest answer because nothing can be multiplied by 4 to get 101010)

So, statement of choice C is incorrect.

Choice D is correct, because of this:

(3×4)(3×4)(3×4)=121212 days

or

12÷3=4

(4×4)(4×4)(4×4)=161616 outfits

or

16÷4=4

E is also correct, because of this:

(3×7)(3×7)(3×7)=212121 days

or

21÷3=7

(4×7)(4×7)(4×7)=282828 outfits.

So the answer is choices B, D and E.

I hope you understand my explanation.

Answer:

Option (B)

Step-by-step explanation:

Given sequence is 45, 135, 405, 1215, 3645..........

Since it's a geometric sequence,

Common ratio of each successive term to the previous term

r = [tex]\frac{135}{45}=3[/tex]

First term of the sequence 'a' = 45

Explicit formula of a geometric sequence will be,

[tex]a_n=a(r)^{n-1}[/tex]

[tex]a_n=45(3)^{n-1}[/tex]

Recursive formula of this sequence will be,

[tex]a_n=3(a_{n-1})[/tex], [tex]a_1=45[/tex]

Therefore, Option (B) will be the answer.

Answer:

9 cm

Step-by-step explanation:

Every centemeter represents three. 3km=1cm.

The number of kilometers/3= the number of centemeters.

the number of centemeters x 3= the number of kilometers.

We now have three equations to help us covert back and forth.

The question asks us to convert 27km in real life, to centemeters on a map. We use the first forumla to help us:)

The number of kilometers/3= the number of centemeters.

27/3=the number of centemeters.

Thus, the answer is nine.

Answer:

9cm

Step-by-step explanation:

1:3 this is the starting ratio

if we replace 3 for 27 we just divide them to get 9 so the new ratio is 9:27.

Answer:

10

Step-by-step explanation:

ab+c

Put a as 2, b as 3, and c as 4.

(2)(3) + (4)

Evaluate.

6 + 4

= 10

Answer:

10

Step-by-step explanation:

Plug the values in the equation

(2)(3) +4

(2)(3)=6

6+4=10

Therefore your answer is 10

Hope this helps!

Answer:

14/2187

Step-by-step explanation:

Let us first see how many possible outcomes there are. We can to that by multiplying 9^4. This gives us 6561.

Now, we can see what are the possible outcomes that meet the requirements. We can get this by multiplying 1 • 1 • 7 • 6, which is 42.

Our fraction is 42/6561, which is 14/2187.

Hope this helped!

Answer:

3rd option

Step-by-step explanation:

Answer:

+2

Step-by-step explanation:

+ and - cancel. We have 5 + and 3 - so that leaves us with 2 + so the answer is +2.

Answer:

+++++ + --- = ++

Step-by-step explanation:

so 5+-3=+2

Answer:

14 km

Step-by-step explanation:

6 km in the afternoon

x km in the morning

6= x- 25%

6= 0.75x

x= 6/0.75

x= 8 km

total 6+8= 14 km

Answer:

no real solutions

Step-by-step explanation:

If equation is...

[tex]2x^2 - 10x - 28 = 6x(6x) - 7\\2x^2 - 10x - 28 = 6x^2 - 7\\0 = 4x^2 + 10x + 21\\4x^2 + 10x + 21 = 0[/tex]

= no real solutions

Answer:

9a + 27

Step-by-step explanation:

=> 3(a+3) + 6(a+3)

Expand the brackets

=> 3a+9 + 6a+18

Combining like terms

=> 3a+6a+9+18

=> 9a + 27

Answer:

9a+24

Step-by-step explanation:

3a+6+6a+18

Simplify:

9a+24

Answer:

8^ -11

Step-by-step explanation:

8^-2 * 8^-9

The bases are the same so we can add the exponents

8 ^ (-2+-9)

8^ -11

Answer:

See below.

Step-by-step explanation:

We have:

[tex]\displaystyle \lim_{x\to \-8}\left(\frac{1}{1+x}- \frac{1}{9}\right)[/tex]

Simply plug in each value:

When x = 7.9, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx 0.0012[/tex]

When x = 7.99, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx0.0001[/tex]

When x = 7.999, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx0.0000[/tex]

When x = 8.001, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx-0.0000[/tex]

When x = 8.01, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx-0.0001[/tex]

And when x = 8.1, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx-0.0012[/tex]

From this pattern, we can conclude that:

[tex]\displaystyle \lim_{x\to \-8}\left(\frac{1}{1+x}- \frac{1}{9}\right) = 0[/tex]

Since as the limit approaches 8, the value gets smaller and smaller and approaches zero.

Graphing this, we can confirm our answer.

Answer: 2x = $90

Step-by-step explanation:

From the question, we are informed that Brady is selling candy bars for a school fundraiser to help pay for new sports uniforms and that he gets paid $2 for every candy bar he sells, and he made a total of $90 on Saturday.

The equation showing the number of candy bars Brady sold on Saturday goes thus:

Let the number of candy bars sold on Saturday be x.

Since each candy bar is sold for $2 and he made a total of $90, this means that the $90 gotten is the product of each candy bar and the amount sold which we represented by x. Therefore the equation will be:

2 × x = $90

2x = $90

We can further solve to get x.

2x = 90

x = 90/2

x = 45

That means 45 candy bars were sold.

Answer:

hi, so i belive the correct option to your question is:

2x = 90

Step-by-step explanation:

it just makes the most sense to me because 2x which could mean two times which in the equation it says he makes to dollars per candy bar sold, so it makes more sence for it to be 2x rather than 90x. and then it says he made a total of ninty dollars on saturday which is a key factor in solving this equation so think it would be 2x = 90$.

im really not sure if this logic makes sence, im not super good with algebra but i hope this helps you out.

Answer:

c

Step-by-step explanation:

Answer:

0.25

0.65

Step-by-step explanation:

P(red)= 0.35

P(green)= 0.4

Answer:

-2

Step-by-step explanation:

The slope of a line can be found by seeing how much it rises over a certain amount of run. Since over the course of -2 units moved to the right the line rises 4 units, the slope of the line is 4/-2=-2. Hope this helps!

Answer:

is there a graph?

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

ABCD is a rectangle, so AD and BC are parallel. Thus, The angle complementary to 6x+19 is 47.

6x+19+47=90

6x+66=90

6x=24

x=4

Answer:

opposite angles are equal, and since, the figure is a rectangle, all its sides measure 90 degrees. Which means, in the side with 47, the angle will be 90 degrees if the other angle is mentioned.( 90-47=43), and we know that opposite angles are equal, and on a line that divides the angles, 43 is equal to 6x+19. so, 6x+19=43,

6x=43-19=24

x=24/6=4

in the same way, the angle 47 mentioned in the figure is equal to the angle beside 6x+19

Answer:

508%

Step-by-step explanation:

To change to a percent multiply by 100

5.08 * 100

508%

Answer:

D. 508%

Step-by-step explanation:

Multiply the decimal value by 100 to find the percentage.

5.08 × 100

= 508

The percentage is 508%.

Answer:

The answer is option B.

-3 , - 0.9 , 45

Hope this helps you

Explanation:

The negative numbers are always smaller than the positive ones. So we list those first. The number -3 is smaller than -0.9 since it is further to left on the number line. So far we have -3 followed by -0.9. The last value must be 45 as its the only thing left. The sequence from smallest to largest is therefore -3, -0.9, 45. A number line is recommended to see the values being placed from left to right.

Answer:  see below

Step-by-step explanation:

Use the Exponential function: y = a(b)ˣ   where

[tex]\underline{\text{Australia:}}\\y=19,169,000(1.006)^5\\=\large\boxed{19,751,012}\\\\\\\underline{\text{China:}}\\y=1,261,832,000(1.009)^5\\=\large\boxed{1,319,645,764}\\\\\\\underline{\text{Mexico:}}\\y=100,350,000(1.018)^5\\=\large\boxed{109,712,539}\\\\\\\underline{\text{Zaire:}}\\y=51,965,000(1.031)^5\\=\large\boxed{60,534,681}[/tex]

Resposta: 73 ° C

Explicação passo a passo:

Dado o seguinte:

Temperatura (T1) na decolagem localizada a 800 metros acima do nível do mar = 32 ° C

Temperatura (T2) à altitude máxima de 3200 metros acima do nível do mar = - 41 ° C

Portanto ;

A variação da temperatura externa entre o ponto de decolagem e a altitude máxima pode ser calculada por:

Diferença entre a temperatura de decolagem e a temperatura na altura máxima.

Variação externa da temperatura = (T1 - T2)

32 ° C - (-41 ° C)

= 32°C + 41°C

= 73°C

∠BCF and ∠GHF are corresponding angles.

The correct answer is an option (C)

"These are the lines in the same plane that are at equal distance from each other and never meet."

"It is a line that intersects two or more lines at distinct points."

For given question,

line AD are line GJ are parallel line.

line KF is transversal which intersects line AD at point C and line GJ at point H.

line EL is  a perpendicular line to line AD are line GJ

We know that corresponding angles is any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

Therefore, ∠BCF and ∠GHF are corresponding angles.

The correct answer is an option (C)

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Answer:

first complete the table by filling blank space on y axis

Then choosing a suitable scale, two squared box on the graph paper represent 1 unit for both axis.

Then draw a graph using x and y coordinate

(b) minimum value of y you dote a line from the turning point of the curve towards y axis then read the value

For this case it is -3.2

(c).To get the value of y when X=-3.5,

you dote alone from X =-3.5 on the X axis towards the curve vertically until you meet the curve then from the meeting point dote a line towards y axis and read the value.

which gives y=0.8

(d). draw a horizontal line at y=3 to meet the curve on both sides then dote a line from the meeting point vertically towards X axis and read the value on the X axis.

Answer:

The answers are options A and B

First solve the inequality

7x < 21

Divide both sides by 7

That's

7x/7 < 21/7

x < 3

The values that satisfy the inequality are

1 and 2 since they are both less than 3

Hope this helps you.

Answer:

Simplifying

x = 2x + -21

Reorder the terms:

x = -21 + 2x

Solving

x = -21 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

x + -2x = -21 + 2x + -2x

Combine like terms: x + -2x = -1x

-1x = -21 + 2x + -2x

Combine like terms: 2x + -2x = 0

-1x = -21 + 0

-1x = -21

Divide each side by '-1'.

x = 21

Simplifying

x = 21