If the perimeter of square garden is 84 feet what s the area of the garden

9514 1404 393

Answer:

  3.8%

Step-by-step explanation:

The interest on a simple-interest loan is ...

  I = Prt

where P is the principal value, r is the annual rate, and t is the number of years.

Solving for r, we get ...

  r = I/(Pt) = 608/(4000×4) = 0.038 = 3.8%

The annual interest rate for the loan was 3.8%.

Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer: See attached.

Step-by-step explanation:

        This slope-intercept form equation shows us that there is a y-intercept of -7. This means that (0, -7) will be a point on the line. Next, we have a slope of positive 3. This means we will count up three units, right one unit, plot a point. Then we repeat.

Answer:

start at the y-intercept, plot some points using the slope, then connect them using a straight line.

Step-by-step explanation:

Generally you'll have an equation in slope-intercept form, which is denoted as: \(y=mx+b\)

This is a really useful form for a couple of reasons, and it has two key features. Firstly, the "m" represents the slope of the linear equation.

This makes sense the definition of slope is: \(\frac{\text{change in y}}{\text{change in x}}\)

and we can generally define the points:

\(\text{at x = 1, y = }m(1)+b\implies m+b\\\text{at x = 2, y = } m(2)+b\implies m + m + b\\\text{at x = 3, y = }m(3) + b\implies m + m + m +b\\\text{and so on...}\)

as the x value increases by 1, the change in y is the "m" value, we have one more "m" than the previous x-value, so the slope is the "m" value, which is the coefficient of the x variable.

The second key feature of slope-intercept form is the y-intercept, which is represented as "b" in this form. This also makes sense because the y-intercept is simply when the x-value is zero, and if you plug in x=0 into the equation, you're only left with the "b" value

Knowing these two things we can analyze the equation given:

\(y = 3x-7\)

since it's given in slope-intercept form, we know that slope = 3, and y-intercept = -7. We immediately know one point, which is the y-intercept, since the x-value is going to be zero at the y-intercept, so one point on the graph is: (0, -7)

now from this point we can draw the graph by going to the right one, and up three, by definition of a slope (as x increases by 1, the y-value increases by 3).

We can do something similar on the left side, except instead of right one and up three, we go left one, and down three. You may be asking why down three? Well as you go right one, you go up three, this means if you compare the previous point to the new point, the previous point is down three compared to the new point (which is to the right one), so if you were to go back, you would be going left one and down three.

Now from these points you can do the same thing to extend the line a bit, and since it's a linear equation you can connect them using a straight line.

I also attached a graph from desmos to illustrate what I was saying a bit and also show the graph.

Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

Answer:

12

Step-by-step explanation:

Step one:

given data

total players in the league

60

we are told that 20% are right-handed.

Required

The number of right-handed players

Step two:

=20/100*60

=0.2*60

=12

There are 12 right-handed players.

Answer: (4x+24)=4⋅(x+6) =28

11x+33= 11⋅(x+3) =44

6x-6= 6⋅(x−1)=0

Step-by-step explanation:

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Answer:

$ 0.49

Step-by-step explanation:

There are 4 cups in a quart, therefore, we time 3 by 4:

3x4 = 12

To find the price per cup, we divide 5.88 by 12:

5.88/12 = $0.49

The total surface area of the doghouse is 1452 ft²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.

area of the roof part = 2( 13×11) + 2( 12× 10)×1/2

= 286 + 720

= 1006 ft²

surface area of the building

= 2( lb + lh + bh) -bh

= 2( 10× 11 + 10×8 + 11×8) - 10×11

= 2( 110+80+88)-110

= 2( 278) -110

= 556 -110

= 446ft²

The total surface area = 1006 + 446

= 1452 ft²

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Answer:

its D

Step-by-step explanation:

calculator

Answer:

the way in which factors are grouped in a multiplication problem does not change the product.

Step-by-step explanation:

Answer:

\(\sqrt{x} -\frac{16}{\sqrt{x} }\)

Step-by-step explanation:

Answer:

tite ko malaki hahahhahhaahhaahahahahhaahjjaahahaahahahhah

Step-by-step explanation:

12345

Step-by-step explanation:

58 i think....................

Answer:

Ignore my handwriting and your answer is 58;)

Answer:

42 is answer

6 times 7 or 6 × 7 = 42

Answer:

42

Step-by-step explanation:

6x7 is 42 if you need help remembering, remember this "6 and 7 went to the zoo they counted the animals and saw 42"

Answer:

160

Step-by-step explanation:

120/3 = 40

40 x 4 = 160

May I have brainliest please? :)

Answer:

\(-\frac{e^2}{3} cos(3x) +c\)

Explanation:

integrate it :

add constant:

\(f (e² sin (3))\)

integrate it :

\(→ \frac{1}{2 + 1} e²(-cos(3x))\)

add constant:

\( →\frac{ {e}^{2} }{3} cos(3x)+c\)

Answer: from what I remember it’s yes

Step-by-step explanation: Because I took the test but it won’t let me go back but if it’s not yes I’m sorry

An expression for given sequence of operations is: j + 3^9

In this question, we need to write an expression for the sequence of operations described below.

raise 3 to the 9th power, then add the result to j

Consider the part of given statement,

raise 3 to the 9th power

We write this as: 3^9

then we add this result to j.

So, we get an expression: 3^9 + j

Therefore, an expression for given sequence of operations is: j + 3^9

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Answer:

₹207

Step-by-step explanation:

1 by 4 of rupees 828

\( = \frac{1}{ \cancel4} \times \cancel{ 828 } \: \: \: \red{ \bold{207}}\\ \\ \)

Answer:

Option A. 4√5

Step-by-step explanation:

To obtain the value of x, we must first obtain the value of y as shown in the attached photo.

The value of y can be obtained by using the pythagoras theory as illustrated below:

In this case y is the longest side i.e the Hypothenus.

y² = 4² + [4√3]²

y² = 4² + [4² × (√3)²]

y² = 4² + [4² × 3]

y² = 16 + [16 × 3]

y² = 16 + 48

y² = 64

Take the square root of both side

y = √64

y = 8

Finally, we shall determine the value of x by using the pythagoras theory as illustrated below.

Note: x is the longest side i.e the Hypothenus in this case.

x² = 4² + 8²

x² = 16 + 64

x² = 80

Take the square root of both side

x = √80

x = √(16 × 5)

x = √16 × √5

x = 4√5

Therefore, the value of x is 4√5.

Answer:

BCDE

Step-by-step explanation:

In this case, the complement of selecting a number LESS than 7, would be selecting a number greater or equal to 7; the probability of this occurring is

(7 , 8, 9, 10), that is 4/10

The integral of the greatest integer function ∫ [x]dx is equivalent to 0.

Given is to integrate the greatest integer function. We can write it as -

∫ [x]dx

We can expand the the integral as -

∫ [x]dx = \(\int\limits^0_b {x} \, dx +\int\limits^c_0 {x} \, dx\), where b = - ∞ and c = ∞

∫ [x]dx = \(\int\limits^0_b {x} \, dx +\int\limits^c_0 {x} \, dx\) =

- ∞ + ...... + (-5) + (-4) + (-3) + (-2) + (-1) + 0 + 1 + 2 + 3 + 4 + 5 + ..... + ∞

{ 1 + 2 + 3 + 4 + 5 + ..... + ∞ } + {- ∞ + ...... + (-5) + (-4) + (-3) + (-2) + (-1)}

{ 1 + 2 + 3 + 4 + 5 + ..... + ∞ } - {∞ + ...... + (5) + (4) + (3) + (2) + (1)}

{ 1 + 2 + 3 + 4 + 5 + ..... + ∞ } - {∞ + ...... + (5) + (4) + (3) + (2) + (1)}

{- 1/12 - (- 1/12)}                     {Ramanujan's infinite sum series}

-1/12 + 1/12

0

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Answer:

96

Step-by-step explanation:

X be the total containers bought

Sales - cost = profit

4.08(X - 14) - 2.6X = 84.96

4.08X - 2.6X - 57.12 = 84.96

1.48X = 142.08

X = 96

Answer: 0.0622009569378

Step-by-step explanation: