The playground at a park is shaped like a trapezoid the dimensions what is the area of the playground in square feet

Answer:

The chlorine tablets are $36 and the pH test kit is $4.40.

Step-by-step explanation:

So what I first did was add 90+11 (because $90 for the chlorine tablets and $11 for the pH kit). The answer you should get is 101.  From their I did 101 multiplied by 40% or 101 multiplied by .40 (40% and 0.40 are the same thing). You now get $40.4.  

Now I did 90·40%. I got $36

Then I did 11·40%. I got 4.4

I added them up and got $40.4 which was my new price so now we know that the chlorine tablets are $36 and the pH test kit is $4.40.

The power of the test against the alternative µ = 10 is 1.

Given: A sample from a Normal population with mean µ = 10 and standard deviation s = 2 failed to reject the null hypothesis

H0: µ = 8 at the a = 0.05 significance level.

To find :

The power of the test against the alternative µ = 10.

Step 1: We have

H0 : µ = 8

Ha: µ ≠ 8α

= 0.05

Sample size n = 5

Population Standard deviation s = 2

Population means µ = 10

The alternative hypothesis is two-sided.

Hence α/2 = 0.025.

Using a normal table, the critical values for a two-tailed test at the 0.05 level of significance are -1.96 and +1.96 respectively.

Step 2: We know that

[tex]\[z=\frac{\overline{x}-\mu }{\frac{s}{\sqrt[]{n}}}\][/tex]

where [tex]\[\overline{x}\][/tex] = sample mean,

µ = Population mean,

s = Population Standard deviation and

n = sample size.

By using the given data, z can be calculated as below:

[tex]\[z=\frac{10-8}{\frac{2}{\sqrt[]{5}}}[/tex]

=[tex]4.47[/tex]

The value of z falls in the critical region if it is less than -1.96 or greater than +1.96.

Since 4.47 is greater than +1.96, the null hypothesis is rejected.

Since the null hypothesis is rejected, it is logical to expect that the power of the test will be high.

Hence, the power of the test against the alternative µ = 10 is 1 (100%).

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The integrat (cos(x - 3) dx is transformed into L' (t)dt an g(t) = 1/2 sin(t-3/2) is incorrect. The correct option g(t) = 1/2 cos(t-3/2).

To transform the integral ∫cos(x - 3)dx into L'(t)dt using an appropriate change of variable, the substitution method make the substitution:

t = x - 3

To find dt, differentiate both sides of the equation with respect to x:

dt = dx

substitute these expressions into the integral:

∫cos(x - 3)dx = ∫cos(t)dt

The integral has been transformed into ∫cos(t)dt.

regarding the options for g(t),

Option 1: g(t) = 1/2 cos(t-3/2)

Taking the derivative of g(t) with respect to t,

g'(t) = -(1/2)sin(t - 3/2)

Option 2: g(t) = 1/2 sin(t-3/2)

Taking the derivative of g(t) with respect to t,

g'(t) = (1/2)cos(t - 3/2)

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Answer:

c y=6x+4

Step-by-step explanation:

Width of Heng's area model is  2x + 1

Step-by-step explanation:

Given:

Greatest common factor is 5x

To Find:

The width = ?

Solution:

let the  be the area

And  5x be the length

Then area  = length  x  width

Now rewriting the formula for width, we get

Width =  

Substituting the values in the above formula

Width =

Width = 2x + 1

Answer:

43 1 ÷12

Step-by-step explanation:

The computation of the length of the original roll of papers is shown below:

36 1 ÷3 and 6 3 ÷ 4 together

Now convert the above fractions into a number

36 1 ÷ 3 = 109 ÷3

And,

6 3 ÷4 = 27 ÷ 4

Now add these two numbers i.e.

109 ÷3  + 27 ÷ 4

= 436 + 81 ÷ 12

= 517 ÷12

= 43 1 ÷12

Answer:

10 visits

Step-by-step explanation:

So first let's make an equation, 7.74x + 8.93= 86.33. When you solve for x you get 10.

Answer:

Step-by-step explanation:

5

Answer: 1557 cans

Step-by-step explanation:

Since we are informed that John collected 718 cans in August bringing his total number of cans to 2,275 cans, the number of cans that John collected before August will be:

= Total number of cans collected - Number of cans collected in August

= 2275 - 718

= 1557 cans

Answer:

A. and C.

Step-by-step explanation:

Just remember that to find the roots, use the equation:

(-b +/- sqrt[b^2 - 4ac])/2a

I would appreciate Brainliest, but no worries.

the point is supposed to be in front of the three

.3

Answer:

the answer is 0.3

Step-by-step explanation:

I hoped this helped

Answer:

5

Step-by-step explanation:

13² - 12² = 25

√25 = 5

Have a great day <3

Answer:nn

Step-by-step explanationn    o:

Answer:

y = 89

Step-by-step explanation:

x = -9

y = x^2 + 8

y = (-9)^2 + 8

y = 81 + 8

y = 89

Answer:

x = -1

Step by step explanation:

Distribute 6

6x-12= -18

Add 12 to both sides

6x= -6

Divide both sides by 6

x= -1

Hope this helps

Answer:

Step-by-step explanation:

Median = 87.5 Sorry about the other one

Answer: the answer is b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

first add them together. the y cancels out and your left with 3x=15. divide by 3 on both sides and you get x=5. The only answer with positive 5 as an x value is b

Answer:

the shape isnt angled thats what it means

Step-by-step explanation:

Answer:

13c

Step-by-step explanation:

-2 + 12 = 13

The exact values  of sin x, tan x and sec x in simplest form are: sin x = -√3/2, tan x = √3, sec x = -2/√3.

To solve this problem, we'll work with the angle x, which is equal to -14π/3. Part a: Determine the reference angle of x. The reference angle is the positive acute angle formed between the terminal side of the angle and the x-axis. To find the reference angle, we ignore the negative sign and convert the angle to its equivalent positive angle within one revolution.

The positive equivalent angle can be obtained by adding 2π (or 360 degrees) repeatedly until we obtain a positive angle. In this case, we have: -14π/3 + 2π = -14π/3 + 6π/3 = -8π/3. The reference angle of x is 8π/3. Part b: Find the exact values of sin x, tan x, and sec x in simplest form. sin x = sin(-14π/3) = -sin(14π/3) (Using the symmetry of sine function)

= -sin(4π + 2π/3) (Dividing by 4π to obtain an angle within one revolution)

= -sin(2π/3) (Sine of an angle 2π/3 is known) = -√3/2.

tan x = tan(-14π/3) = tan(14π/3) (Using the symmetry of tangent function)

= tan(4π + 2π/3) (Dividing by 4π to obtain an angle within one revolution)

= tan(2π/3) (Tangent of an angle 2π/3 is known)= √3. sec x = sec(-14π/3) = sec(14π/3) (Using the symmetry of secant function)= sec(4π + 2π/3) (Dividing by 4π to obtain an angle within one revolution)= sec(2π/3) (Secant of an angle 2π/3 is known)= -2/√3. Therefore, the exact values in simplest form are: sin x = -√3/2, tan x = √3, sec x = -2/√3.

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Answer: The exact values  of sin x, tan x and sec x in simplest form are: sin x = -√3/2, tan x = √3, sec x = -2/√3.

Step-by-step explanation: To solve this problem, we'll work with the angle x, which is equal to -14π/3. Part a: Determine the reference angle of x. The reference angle is the positive acute angle formed between the terminal side of the angle and the x-axis. To find the reference angle, we ignore the negative sign and convert the angle to its equivalent positive angle within one revolution.

The positive equivalent angle can be obtained by adding 2π (or 360 degrees) repeatedly until we obtain a positive angle. In this case, we have: -14π/3 + 2π = -14π/3 + 6π/3 = -8π/3. The reference angle of x is 8π/3. Part b: Find the exact values of sin x, tan x, and sec x in simplest form. sin x = sin(-14π/3) = -sin(14π/3) (Using the symmetry of sine function)

= -sin(4π + 2π/3) (Dividing by 4π to obtain an angle within one revolution)

= -sin(2π/3) (Sine of an angle 2π/3 is known) = -√3/2.

tan x = tan(-14π/3) = tan(14π/3) (Using the symmetry of tangent function)

= tan(4π + 2π/3) (Dividing by 4π to obtain an angle within one revolution)

= tan(2π/3) (Tangent of an angle 2π/3 is known)= √3. sec x = sec(-14π/3) = sec(14π/3) (Using the symmetry of secant function)= sec(4π + 2π/3) (Dividing by 4π to obtain an angle within one revolution)= sec(2π/3) (Secant of an angle 2π/3 is known)= -2/√3. Therefore, the exact values in simplest form are: sin x = -√3/2, tan x = √3, sec x = -2/√3.

Answer:

2

Step-by-step explanation:

first use order of operations.

1/2(4^2)-6

1/2*16-6

then simplify to get:

8-6=2

Answer: 2

Step-by-step explanation:

The question is asking you to substitute the b with 4 and find the solution to the expression.

[tex]\frac{1}{2}b^{2} -6[/tex]

[tex]=\frac{1}{2}(4)^{2} -6[/tex]

[tex]=\frac{1}{2}(16) -6[/tex] (PEMDAS so you do the exponent first)

[tex]=8 -6[/tex] (PEMDAS so you do the multiplication first)

[tex]=2[/tex]

To close the $2,000 in expenses, $5,000 in revenue, and $500 in dividends, we need to transfer these amounts to the appropriate accounts and close the temporary accounts at the end of the accounting period. Here are the journal entries to close these amounts:

Close Expenses:

Date | Account | Debit | Credit

End of Year | Expenses | $2,000 |

| Income Summary | | $2,000

Close Revenue:

Date | Account | Debit | Credit

End of Year | Income Summary | $5,000 |

| Revenue | | $5,000

Close Dividends:

Date | Account | Debit | Credit

End of Year | Retained Earnings | $500 |

| Dividends | | $500

After these closing entries, the balances of the temporary accounts (Expenses, Revenue, and Dividends) will be zero, and their respective amounts will be transferred to the Income Summary and Retained Earnings accounts. The Income Summary account will show the net income (revenue minus expenses) for the period.

Please note that the specific account titles may vary depending on the company's chart of accounts, so make sure to use the appropriate account titles according to your specific chart of accounts.

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The proportion of adults with scores above 110 is 0.1841.

Here, we have,

It should be noted that from the information illustrated, Wechsler Adult Intelligence Scale scores are approximately Normal, with a mean of 100 and a standard deviation of 11.

The formula to use will be:

P(a < Z < b) = P(Z < b) – P(Z < a)

a = lower value

b = higher value

Z = z value

It should be noted that the proportion of adults with scores above 110 will be:

= P(x > 110)

= P(z > 110 - 100/11)

= P(z > 0.90)

= 1 - 0.8159

= 0.1841

Therefore, this illustrates those that has scores of more than 110.

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Answer:

whats the question?

Step-by-step explanation:

The blue dot located inside the curve of the parabola is Focus.

What are Parts in Parabola?

The essential feature of a parabola is that all of its points are the same distance from a point called the focus and a line called the directrix. The vertex, axis, latus rectum, and focal length are also key components of a parabola.

The latus rectum, also known as the focal diameter, is the line segment that runs through the focus and parallel to the directrix. The focal diameter's endpoints are located on the curve.

A parabola is the set of all points ( x, y ) in a plane that are the same distance from a fixed line called the directrix and a fixed point not on the directrix (the focus).

A parabola will have three key components: a focus, a directrix, and a vertex. This upward-opening parabola demonstrates that all points,, along the parabola's curve will be the same distance from the focus and the directrix.

Thus, the blue dot located inside the curve of the parabola is Focus.

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Answer:5.4

Step-by-step explanation:

Answer:

P = 528

Step-by-step explanation:

P = a + b + c = 200 + 107 + 221 = 528

The area of the sector with a central angle of 27/8 radians in a circle of radius 4 meters is 27 square meters.

To find the area of a sector, you can use the formula:

Area of Sector = (θ/2π) * πr²

where θ is the central angle in radians and r is the radius of the circle.

Given:

Central angle (θ) = 27/8 radians

Radius (r) = 4 meters

Substituting the given values into the formula, we have:

Area of Sector = (27/8 * 1/(2π)) * π * (4)^2

Simplifying the expression:

Area of Sector = (27/8 * 1/2) * (4)^2

Area of Sector = (27/16) * 16

Area of Sector = 27 square meters

Therefore, the area of the sector with a central angle of 27/8 radians in a circle of radius 4 meters is 27 square meters.

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The range of the function f = [0,00) + R, defined by the rule f(t) = -247 is {-247}. The correct option is d.

The range of a function is the set of all possible outputs or y-values. Here, the function is f(t) = -247 with the domain [0,00), which means that for any value of t between 0 and 00 (excluding 00), the function will always give the same output, -247. This is because the rule for the function is simply -247, and doesn't depend on the input value of t.

The range of the function f is simply {-247}, which is a singleton set containing only one element (-247). In other words, the only possible output or y-value for this function is -247, and there are no other possible values for f(t) for any value of t between 0 and 00 (excluding 00).

Thus, the correct option is d.

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