A rose garden is formed by joining a rectangle and a semicircle. The rectangle is 28 ft long and 18 ft wide. If the gardener wants to build a fence around the garden, how many feet of fence are required. Use the value 3.14 for pie and do not round your answer

The percent of water in the mixture is

p\(^{w}\)=m\(^{w}\)/m×100%=

52 oz/65oz×100%

=80%

To learn more about components refer to:

https://brainly.com/question/28630529

#SPJ1

Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

Mean = 75

Random score = 65

Standard deviation = -10

Z-score = Score - Mean / Standard Deviation

= ( 65 - 75 ) / -10

= -10 /10

= -1

Probability ( Z < -1 ) = 0. 3413 ( from the Z-score table)

Answer:

626.71 cm^2

Step-by-step explanation:

Area of figure = area of half circle + Area of half circle + area of a rectangle

here, diameter=15 cm

radius = 15/2=7.5 cm

length=30cm

breadth=15cm

Now

Area of figure = 1/2*π*radius^2+ 1/2*π*radius^2+length*breadth

=1/2* 1/2*π*7.5^2+1/2* 1/2*π*7.5^2+30*15

=626.71 cm^2

Answer:

336

Step-by-step explanation:

Just get area of individual shapes and then add

Answer:

336 square units

Step-by-step explanation:

1/2x6x8x2=48

8x12=96

10x12=120

6x12=72

48+96+120+72=336

Answer:

The graph of the equations (y = 10x + 100), (y = 10x), and (y = 12.5x) can be drawn by using the rules of transformation.

Given :

y = 100 + 10x

y = 10x

y = 12.5x

The following steps can be used to sketch the graph of the given line (y = 100 + 10x):

Step 1 - First sketch the graph of (y = x).

Step 2 - Then Multiply the x-axis by a factor of 10. The resulting graph is the graph of (y = 10x)

Step 3 - Then find the y-intercept from the given equation. Then draw the line that passes through (0,100). The resulting line is the graph of (y = 100 + 10x).

The following steps can be used to sketch the graph of the given line (y = 10x):

Step 1 - First sketch the graph of (y = x).

Step 2 - Then Multiply the x-axis by a factor of 10. The resulting graph is the graph of (y = 10x)

The following steps can be used to sketch the graph of the given line (y = 12.5x):

Step 1 - First sketch the graph of (y = x).

Step 2 - Then Multiply the x-axis by a factor of 12.5. The resulting graph is the graph of (y = 12.5x)

The graph of all the equations together is attached below.

Red line shows the graph of (y = 10x + 100).

Blue line shows the graph of (y = 10x)

Green line shows the graph of (y = 12.5x)

Step-by-step explanation:

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

for such more question on secant slope

https://brainly.com/question/27877215

#SPJ8

Answer:

I got 0.3428571429

Step-by-step explanation:

I got it by inputting (2/5)*(6/7) into my calculator, but if you need more let me know

Multiply 2/5 by 6/7 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

\(\bf{\dfrac{2\times6}{5\times7} \ \ \to \ \ \ Multiply }\)

Do the multiplications in the fraction \(\bf{ \frac{2\times6}{5\times7} }\).

\(\red{\underbrace{\red{\boxed{\blue{\boxed{\green{\boxed{\bf{\purple{\frac{12}{35} } }}}}}}}}} \ \ \to \ \ \red{\underbrace{\bf{Answer}}}\)

Answer:

Options (A), (C) and (E)

Step-by-step explanation:

Given equation is,

-3x + 7 = -5 + x

-3x + 7 - 7 = -5 + x - 7

-3x = -5 + x - 7 Option (C)

-3x = x - 12

-3x - x = -12

-4x = -12 Option (A)

4x = 12 Option (E)

\(\frac{4x}{4}=\frac{12}{4}\)

x = 3

Therefore, Options (A), (C) and (E) are the correct options.

a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.

a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:

Industry Average Salary = 96% of Firm B's Average Salary

= 0.96 * $58,000

= $55,680

b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:

Firm A's Average Salary = 93% of Industry Average Salary

= 0.93 * $55,680

= $51,718.40

c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:

Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100

= ($58,000 / $51,718.40) * 100

≈ 112.27%

For more such questions on Industry Average Salary

https://brainly.com/question/28947236

#SPJ8

Rounding to an estimate, Sachin will have enough gas to go to both places before he runs out of gas.

An estimate is an equivalent numerical value obtained by rounding off.

The result of an estimate is not an exact value.  The value represents the nearest rounded value.

For instance, 75.9% can be estimated or rounded off to 76%.  32 minutes can be rounded off or approximated to ¹/₂ hour.

Driving distance before getting gas = 110 miles

The distance to his friend's house = 67 miles

The distance to his mom's house = 32 miles

The total distance to be covered on the available gas = 99 miles

Estimated distance to be covered = < 100 miles

Thus, using estimation, Sachin will still have more than 10 miles to drive before he gets gas.

Learn more about estimation at brainly.com/question/201331

#SPJ1

Answer:

H. \(6x^{7} y^{15}\)

Step-by-step explanation:

The formula for volume is V = (length)(width)(height)

So, the volume is: V = (\(3x^{2}y^{4}\))(\(4x^{2}y^{5}\))(\(\frac{1}{2} x^{3}y^{6}\))

We can multiple the coefficients 3, 4, and 1/2, which is 6

We know that \(x^{a} +x^{b} =x^{a+b}\), so multiplying \(x^{2}\), \(x^{2}\), and \(x^{3}\) will give us \(x^{7}\).

Similarly, multiplying \(y^{4}\), \(y^{5}\) , and  \(y^{6}\) will give us \(y^{15}\).

Altogether, our volume would be \(6x^{7} y^{15}\)

so, we know the diameter is 8, so that means its radius is half that, or 4.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =45 \end{cases}\implies A=\cfrac{(45)\pi (4)^2}{360}\implies A=2\pi ~ft^2\)

The Horizontal asymptotes is y = 2

Function are mathematical statement which links an independent variable to dependent variable. It always comes with a defined domain and range.

This function can be written as;

1/(x+2)-4

Since Vertical asymptotes are defined when the denominator of a rational function tends to zero.

We know that Horizontal Asymptote is when the function f(x) is tending to zero.

for x = +∞ and x = - ∞

Since b = a the horizontal asymptote is the line

y = m/n  

When we need to find the limit of x going to infinity of a fraction we consider the term with the largest exponent on both the numeration and the denominator. So

Horizontal asymptotes y = 2

To know more about Function

brainly.com/question/12431044

#SPJ1

Answer:

t = \(\frac{V-20}{5}\)

Step-by-step explanation:

V = 5t + 20 ( subtract 20 from both sides )

V - 20 = 5t ( divide both sides by 5 )

\(\frac{V-20}{5}\) = t

Answer: t = V/5 - 4

Step-by-step explanation:

V=5t+20

V-20=5t

V/5 - 20/5 = t

(V/5) -4=t

Answer:

he needs 128cm² materials

Step-by-step explanation:

surface area of cuboid =2(lb+bh+lh)

=2(6×4+4×4+6×4)=128cm²

The missing value for the coordinate pair that lies on the graph of the function. y=5^x (2,​ 25)

The equation of the function is given as:

y = 5^x

And the x value is given as

x = 2

To determine the missing value, we start by substituting 2 for x in the function y = 5^x

So, we have:

y = 5^2

Evaluate the exponent

y = 25

So, the complete coordinate is (2, 25)

Hence, the missing value for the coordinate pair that lies on the graph of the function. y=5^x (2,​ 25)

Read more about functions at:

https://brainly.com/question/6561461

#SPJ1

Answer: 2.45 m/s.  

acceleration due to gravity 9.8 m/s

By substitution, we will see that the solution of the system is:

x = 13, y = 11, z = -1

The correct option is D.

Here we have a system of 3 equations:

x + y + 8z = 16

2x + 7z = 19

4x - 4y + 4z = 4

I will solve it by substitution, first, let's simplify the equations. Here we can divide the third equation by 4 so we remove all the common factors, then the system becomes:

x + y + 8z = 16

2x + 7z = 19

x - y + z = 1

Now, I will isolate x on the second equation:

x = (19 - 7z)/2 = (19/2) - (7/2)*z = 9.5 - 3.5*z

Now we can replace that on the other two equations:

(9.5 - 3.5*z) + y + 8z = 16

(9.5 - 3.5*z) - y + z = 1

Rewriting the system we get:

y + 4.5z = 6.5

-y - 2.5z = -8.5

Now we can isolate y on the first equation:

y = 6.5 - 4.5z

Replacing that on the other equation we get:

-(  6.5 - 4.5z) - 2.5z = -8.5

-6.5 + 4.5z - 2.5z = -8.5

2z = -8.5 + 6.5 = -2

z = -2/2 = -1

Then the value of y is:

y = 6.5 - 4.5z = 6.5 - 4.5*(-1) = 11

And the value of x is:

x = 9.5 - 3.5*z = 9.5 - 3.5*(-1) = 13

So the solution of the system is:

x = 13, y = 11, z = -1

The correct option is D.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

Step-by-step explanation:

31,560,000 = 3.156 x 10^7

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

For such more questions on present value

https://brainly.com/question/30390056

#SPJ8

The answer of the given question based on the triangle which is  sequences of transformations of △ABC exhibit the congruence between the two triangles the answer is given below,

Congruent triangles are two or more triangles that have  same shape and size. In other words, they have same angles and  same side lengths.

The congruence between the two triangles can be exhibited by the following two sequences of transformations:

a) a rotation of 180° about the origin and a translation of 1 unit left

c) a rotation of 180° about the origin and a translation of 1 unit right

Option b) and option e) involve a translation and a reflection that do not preserve orientation, so they do not result in a congruent triangle.

Option d) involves two reflections, which do not commute, so the order matters. This sequence of transformations would result in a reflection across the line y = x, followed by a translation of 1 unit right, followed by a reflection across the line x = -1, which does not result in a congruent triangle.

Option f) is similar to option d) in that it involves two reflections that do not commute. This sequence of transformations would result in a reflection across the line y = x, followed by a translation of 1 unit left, followed by a reflection across the line x = 1, which also does not result in a congruent triangle.

TO know more about Reflection visit:

https://brainly.com/question/29065090

#SPJ1

Answer:

1. (a) 1/12

(b)35/36

(c) 31/36

2. Blue - 1/3

Red- 4/15

The required probability that events A and B both occur is 0.15.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

The probability that events A and B both occur is given by the product of their individual probabilities if they are independent. Independence means that the occurrence of one event does not affect the probability of the other event.

In this case, the probability that events A and B both occur is given by:

0.3 × 0.5 = 0.15

So, the probability that events A and B both occur is 0.15.

It's important to note that without further information, we cannot determine if events A and B are independent. The probabilities of 0.3 and 0.5 are the individual probabilities of each event, but we would need to know if their occurrence affects each other to determine if they are independent.

Learn more about probability here:

https://brainly.com/question/11455301

#SPJ9

Answer:

ilig

Step-by-step explanation:

Answer:

Kunal: 2250

Kirti: 1650

Step-by-step explanation:

15 + 11 = 26

3900/26 = 150

150 times 15 = 2250

150 times 11 = 1650

Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

Answer:

I am guessing the answer would be...

A. (2.2)

Step-by-step explanation:

A proportional relationship is a relationship where the ordered pairs are the same. 2 and 2 are the same.

Answer:

sorry i dont know it

Step-by-step explanation:

sorry

Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76