This is a gardener's floor plan of their backyard. Enter the amount of grass, in square yards
needed to completely cover the backyard.

Answer:

Step-by-step explanation:

Solve equation

-8n + 7 * (8 + 3n)= -16 + 4n

-8n + 56 + 21n = -16 + 4n

13n + 56 = -16 - 56

13n -4n = -16 - 56

9n = -72

n = -72 : 9

n = -8

======================================================

Explanation:

[tex]f(x)= -13x^2+15\\\\f(x)= -13x^2+15*1\\\\f(x)= -13x^2+15x^0\\\\[/tex]

Each term of the polynomial function has an exponent which is an even number, therefore the function is even.

-------------

Another approach:

[tex]f(x)= -13x^2+15\\\\f(-x)= -13(-x)^2+15\\\\f(-x)= -13x^2+15\\\\[/tex]

Since f(x) = f(-x) for all x, this proves the function is even.

Step-by-step explanation:

A....

Solution ,

[tex] = \frac{h - 3}{3} = 3h \\ [/tex]

[tex] = h - 3 = 9h[/tex]

[tex] = h - 3 - 9h = 0[/tex]

[tex] = h - 9h = 3[/tex]

[tex] = - 8h = 3[/tex]

Change the sign of both side

[tex] = 8h = - 3[/tex]

[tex] = h = - \frac{3}{8 } \\ [/tex]

B....

Solution,

[tex] = \frac{t}{2} = \frac{t + 1}{5} \\ [/tex]

Multiply the both side by the least common multiple to eliminate the fraction...

[tex] = 5t = 2t + 2[/tex]

[tex] = 5t - 2t = 2[/tex]

[tex] = 3t = 2[/tex]

[tex] = t = \frac{2}{3} \\ [/tex]

Answer:

Step-by-step explanation:

x + x + 90 = 180

2x + 90 = 180

2x = 90

x = 45

large of a sample size is required=165

The Z-value is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation

Using the formula:

large of a sample size is required=(Z∝[tex]I_{2}[/tex]/E)²* P(1-P)

According to the given data

E= margin of error= 5%=0.05

96% confident that your estimate is within 5% of the true population proportion,

Therefore, level of significance

∝=1-0.96

=0.04.

Z value for the 96% confident is 2.05, therefore, Z∝I2=2.05

Therefore, large of a sample size is required=(2.05/0.05)²* (0.11)(1-0.11)

=1681*0.0979

=164.5699

=165

Hence, large of a sample size is required=165

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Answer:

50

Step-by-step explanation:

53.042 -3.350 = 49.692---> 50

Answer:

50

Step-by-step explanation:

53.042 rounds down to 53

3.350 rounds down to 3

53

- 3

___

50

checking work:

53.042

- 3.350

————

49.692 (work below) which rounds up to 50

matches !

Answer:

B. 60 square feet

Step-by-step explanation:

took a test and got it right

Answer:

A. 69 square feet

Step-by-step explanation:

add the area of the triangle on top to the

area of the rectangle below

y - w is the base of the triangle

12 - 6 = 6 is the base of the triangle

z - x = height of the triangle

8 - 5 = 3 = height of the triangle

6 times 3 divided by 2 = area of the triangle =

9

y times x is the area of the rectangle below

12 times 5 =

60 is the area of the rectangle below

add up both areas which =

69

Step-by-step explanation:

Sn=n(2a+(n-1)d)

2

S20=20(2x3+(20-1)x-5)

2

S20=10(6+19x-5)

S20= 10(6-95)

S20=10x-89

S20=-890

Hope this helps you

Have a nice day

apples= 200

bad apples= 15%

how many apples are bad.

[tex] 200 \times \frac{15}{100} [/tex]

[tex] = 30[/tex]

therefore, there are 30 bad apples.

Answer:

D = 4.33

Step-by-step explanation:

⇒ 48 = 12D - 30 + 6D

⇒ 48 = 18D - 30

⇒ 18D = 78

⇒ D = 78/18

⇒ D = 26/6

⇒ D = 13/3

⇒ D = 4.33

The requried simplified value of the given expression is D = 4.33.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
48 = 12D - 30 + 6D

Simplify,
48 = 18D - 30
D = 78 / 18
D = 4.33

Thus, the requried simplified value of the given expression is D = 4.33.

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Answer:

Option B (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.) is the solution.

Step-by-step explanation:

Let's have a look at the image they've provided. (The identical picture is shown below. )

[tex]\left[\begin{array}{cc}2&8\\4&?\\5&20\end{array}\right][/tex]

Do you see a pattern here? Concentrate on the second row rather than the first. Both integers are multiplied by four, therefore 4 x 4 must be multiplied.

[tex]2 *4= 8\\5*4 = 20[/tex]

This indicates that option B is the right response. (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.)

Hope this helps! :D

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If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F.

The process of making a triangle is known as the construction of the triangle.

Wendell makes a triangular garden using pieces D, E, and F.

Where D, E, and F may be a side of the triangle or angle of the triangle.

To make a triangle we need at least one side of the triangle.

If all the angles of the triangle is given then we can not make a triangle because the side of the triangle is unknown.

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Answer:

If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F. 

Step-by-step explanation:

We have found one solution to the equations that the two equations intersect at the point (2.5,-1.5).

The equation is actually a relationship between the numbers and the variables. In this question we have two equations y=2x²-6x+1 and y=-x+1 so by equating them we can find the value of x which is the intersecting point of the two lines.

Now the solution of the equations:-

y=2x²-6x+1

y=-x+1

2x²-6x+1 = -x+1

2x²=5x

x=5/2=2.5

y=-2.5+1=-1.5

Hence the one solution to the equations that the two equations intersect at the point (2.5,-1.5).

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Answer:

∠ACB =  24.35°

Step-by-step explanation:

∠ACB basically means ∠C

tangent = opposite / adjacent

tanx = 5.62 / (3.54 + 3.86 + 5.02)

you are adding all these to get the total of the base length

tanx = 5.62 / 12.42

x = arctan(5.62 / 12.42)

x = 24.34654°

The value of the function is zero at negative 3, negative 1, and zero. And the graph of the function is given below.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Sketch a graph of the polynomial function given below.

[tex]\rm f(x) =x^3+4x^2+3x[/tex]

Use it to complete the following:

Then the factor of the polynomial will be

f(x) = x³ + 4x² + 3x

f(x) = x(x² + 4x + 3)

f(x) = x(x² + 3x + x + 3)

f(x) = (x)(x + 3)(x + 1)

The graph of the function is given below.

Then the value of the function is positive in the interval of (-3, -1) and the value of the function is negative in the interval of (-1, 0)

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Answer:

40 1/2 or 40.5

Step-by-step explanation:

i used a calculator

Answer:

  122

Step-by-step explanation:

To solve for x, undo the operations done to it.

__

  5 = ∛(x +3) . . . . . given

  125 = x +3 . . . . . cube both sides of the equation

  122 = x . . . . . . . . subtract 3

Answer:

Step-by-step explanation:

∛(1331)

∛11*11*11  = 11

Step-by-step explanation:

all the tasks are the same type and have the same way of solution.

Example №1:
9[girls] + 11[boys]=20 persons. Then the probability to choose the first boy is: 11/20. After this choice, 9[girls]+10[boys]=19 persons. Then the probability to choose the 2-d boy is: 10/19. The final required probability is: 11/20 * 10/19 = 11/38.

P.S. all the details are in the attachment.

P.P.S. the suggetsted way is not the only one.

1. Thomas' monthly payment for the loan exceeds $350.

2. An excess monthly payment of $37.77 exists.

3. Thus, the actual monthly payment is $387.77.

The interest is the finance charge for the loan, representing the cost of the time value of money.

The interest and the monthly payments can be calculated using an online finance calculator as follows:

Business Loan = $20,000

Down Payment = 0%

Loan Term = 5 years or 60 months (5 x 12)

Interest Rate = 6.12%

Monthly Mortgage Payment = $387.77

Total of 60 Mortgage Payments = $23,266.38 ($387.77 x 60)

Total Interest = $3,266.38

Thus, Thomas' actual monthly payment is $387.77.

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The graph of y = x^2 - 1 has a vertex at (0,-1) and open upwards and it is represented by the graph 1

The equation is given as:

y = x^2 - 1

Express as a vertex function

y = (x - 0)^2 - 1

The above means that the function has a vertex of (0,-1) and it opens upward

The graph that has a vertex at (0,-1) and open upwards is the graph 1

Hence, the graph of y = x^2 - 1 is (a)

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Answer:

3 3/4 yards

Step-by-step explanation:

The area of a rectangle can be found by multiplying length * width. Since we have the area of the patio and the length, all we need to do to find the width is divide 5 5/8 (area) / 1 1/2 (length) =3 3/4 yards (width).

To check if this is correct, we can solve 1 1/2 * 3 3/4 = 5 5/8 yards.

Hope this helps!

This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.

Modulus of a function are positive value of a function. Given the modulus expression as shown

f(x) = |x – 2| – 4

This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.

The resulting graph of the function is as shown below;

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Answer:

C

Step-by-step explanation: It has three sides

100 m at a constant speed of 5.

the acceleration.

[tex]a = \frac{v - u}{t} [/tex]

[tex]a = \frac{100 - 100}{5} [/tex]

[tex]a = 0.00m | {s}^{2} [/tex]

Answer:

6a

Step-by-step explanation:

hexagon has 6 sides(im pretty sure lol), and 1 side is a. so 6 sides must be 6a