the complement of guessing 5 correct answers on a 5 question true or false examination is ​
​​​

1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

Answer: 9

Step-by-step explanation:

Since the percent is decaying, you subtract 3.4 from 100, which gets you 96.6

200(0.966)^9 gets you 146.5 which is less than 150

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

the answer will might be A yeah I'm sure the answer is A

the absolute value function written as a piecewise function is:

f(x) = x + 8      if     x ≥ -8

f(x) = -(x + 8)     if    x + < -8

The absolute value function:

y = |x|

works as follows:

That is a piecewise function.

Now, in our case:

f(x) = |x + 8| can be rewritten to:

f(x) = x + 8      if     (x + 8) ≥ 0

f(x) = -(x + 8)     if    (x + 8) < 0.

Now we should simplify the inequalities, so we get:

f(x) = x + 8      if     x ≥ -8

f(x) = -(x + 8)     if    x + < -8

Here we have the absolute value function written as a piecewise function.

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Matana, this is the solution!

Principal = 11,000

Interest rate = 6% (0.06) compounded continuously

Interest amount = $ 1,402.47

Future Value = 12,402.47 (Principal + Interest amount)

t = ?

Let's recall that:

t = log (Future Value/Principal)/Interest rate

t = (log 12,40247/11,000)/0.06

t = 2 years

\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

Answer:

9, 15, 22.

If you add any of the two side lengths, they will be greater than the third.

Step-by-step explanation:

Answer: 2 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

hope that will help you

The expected value of a Jolly Rancher sale in the 3rd class period to Mr. Mackay, is $ 1. 18

The expected value can be found by using probability and the price that the candy was sold at, in the following manner :

= ∑ ( Probability of candy sold at a price x Price that candy was sold at )

The expected value for the Jolly Rancher sale that Mr. Mackay watched is:

= ( 20 x 0. 05 ) + ( 0. 50 x 0. 25 ) + ( 0. 10 x 0. 5 ) + ( 0. 01 x 0. 2 )

= 1 + 0. 125 + 0. 05 + 0.002

= $ 1. 18

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Answer:

28. B

29. D

30. A

Step-by-step explanation:

28.

2 5/8 yd × 5/6 yd =

= 21/8 × 5/6 yd²

= 105/48 yd²

= 35/16 yd²

= 2 3/16 yd²

Answer: B

29.

2641 becomes 6241.

In 6241, the 6 is in the thousands place.

6 × 1000 = 6000

Answer: D

30.

90 + 7 × (7 - 1) =

Use the correct order of operations.

= 90 + 7 × 6

= 90 + 42

= 132

Answer: A

Linear functions refers to functions whose graphs are straight lines. They are characterised by the general equation form:

This graph is not a straight line. Hence, this is not a linear function

Option D is the correct answer

Answer:

Add the formula do the math!

I will give you the answer later!

P.s maybe after you tell me if you figured it out!

Step-by-step explanation:

Have a great week!

Hope i helped! <3

Tell me if so!

Your welcome!

Byes! :)

-Sincerely, Brainliest!

Answer:

A

Step-by-step explanation:

no explanation but the answers isA

The algebraic rule that describes the reflection FG is  (x, y) → (−x, y), option C is correct.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given line FG is reflected to get F'G'

A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points.

Let us take a point G.

The coordinates of G are (1, -5)

Now the coordinates of G' are (-1, -5)

Which means the y coordinates remain same but the x coordinates is multiplied with negative sign

(x, y) → (−x, y) is the required rule

Hence, the algebraic rule that describes the reflection FG is  (x, y) → (−x, y), option C is correct.

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Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To calculate the equation of the line first find the slope

Slope of the line using points

(0 , 0) and (4 , -2) is

\(m = \frac{ - 2 - 0}{4 - 0} = \frac{ - 2}{4} = - \frac{1}{2} \)

Now use the formula

y - y1 = m(x - x1) to find the equation of the line using any of the points

Using point (0,0)

That's

\(y - 0 = - \frac{ 1}{2} (x - 0)\)

The final answer is

\(y = - \frac{1}{2} x\)

Hope this helps you

Answer:

F

Step-by-step explanation:

The magnitude of the vector is shown by the length of the vector and the angle it makes with the positive x-axis is shown by the direction of the vector.

The magnitude of vector v is 2 and the angle it makes with the positive x-axis is given as θ = 3.

The component form of vector v can be found by using the following formula:

V = ||V|| (cosθi + sinθj)

Therefore, the component form of vector v is given by:

V = 2 (cos3i + sin3j)

We can calculate the components by substituting the values for ||v|| and θ in the above formula.

Therefore, the x component of vector v is given by:

Vx = 2 cos3

Vx = 1.86

The y component of vector v is given by:

Vy = 2 sin3

Vy = 3.42

Therefore, the component form of vector v is given by:

V = 1.86 i + 3.42 j

This can be represented graphically as shown in the figure.

The magnitude of the vector is shown by the length of the vector and the angle it makes with the positive x-axis is shown by the direction of the vector.

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Answer:

1 7/12

Step-by-step explanation:

Answer:

36x .9= 32.4

36 is 90% of 40

Answer:

The second one

Step-by-step explanation:

As you can see in the question, it states that 36 is 90% so that means in the model, 36 should be under 90%

We can conclude that the equation of the circle is (x - 3)² + (y + 6)² = 32, where (3, -6) is the center and 4√2 is the radius. Option 3 and 6 are correct  options.

Based on the information given, we know that circle has its center at the point (3, -6) and a radius of 4√2. We also know that the point (-1, -2) and (4, -0.5) are on the circle.

Using the distance formula, we can confirm that the distance between the center of the circle and each of these points is indeed 4√2.

This equation can be simplified to x² - 6x + y² + 12y + 1 = 0 by expanding and combining like terms. This is the equation of circle , and any point that satisfies this equation will be on the circle. Option 3 and 6 are correct  options.

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Answer:

If the zeroes of a quadratic function are -1 and 6, then its factored form is:

(x + 1)(x - 6) = 0

Expanding the left side:

x^2 - 5x - 6 = 0

So the quadratic function in standard form is:

f(x) = x^2 - 5x - 6

Answer:

f(x) = x^2 - 5x - 6

Step-by-step explanation:

To create a quadratic function with zeroes -1 and 6, we can start by using the zero product property to write out the factors of the equation:

(x + 1)(x - 6) = 0

Expanding the factors, we get:

x^2 - 5x - 6 = 0

This quadratic equation is in standard form with a leading coefficient of 1. Therefore, the quadratic function with zeroes -1 and 6 is:

f(x) = x^2 - 5x - 6

This function can also be graphed on the coordinate plane as a parabola with a vertex at (2.5, -10.25) and its axis of symmetry at x = 2.5. The graph would intersect the x-axis at -1 and 6, confirming that these are the zeroes of the function.

Answer:

area = 2.3 x 2.8

area is 6.44 meters

Step-by-step explanation:

area is length multiplied by width

The equation of the line is y = x + 6

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

The graph

On the graph, we have the following highlights

The graph intersect the y-axis at y = 6

This means that the intercept c is 6

Also, as x changes by 1, the y values changes by 1

This mean sthat the slope is 1

So, we have

y = mx + c

This gives

y = x + 6

Hence, the equation is y = x + 6

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The linear equation on the graph can be written as:

y = (3/2)*x + 6

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁), then the slope will be:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we can see the points (0, 6)  (so the y-intercept is b = 6)  and (4, 10)

Then the slope will be:

a = (10 - 6)/(4 - 0) = 6/4 = 3/2

Then the linaer equation is:

y = (3/2)*x + 6

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Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

3(8 + 2) = 3(8) + 3(2) = 3(10) = 30

A square has a perimeter of 24 m and an area of 36m ^ 2 The square is dilated by a scale factor of 3.The perimeter of the dilated figure is 72 m, and the area is \(324 m^2\).

Let's begin by finding the side length of the original square. Since the perimeter of the square is given as 24 m, we can divide it by 4 (as a square has four equal sides) to find the length of each side. Therefore, the original square has a side length of 6 m.

To find the perimeter of the dilated figure, we need to multiply the side length of the original square by the scale factor of 3. So, the new side length of the dilated figure is 6 m * 3 = 18 m. Since the dilated figure is also a square, all its sides are equal. Therefore, the perimeter of the dilated figure is 18 m + 18 m + 18 m + 18 m = 72 m.

To find the area of the dilated figure, we need to square the new side length of 18 m: \(18 m * 18 m = 324 m^2\). Hence, the area of the dilated figure is \(324 m^2.\)

The perimeter of the dilated figure is 72 m, and the area is \(324 m^2\).

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Answer:

95% provides more information

Step-by-step explanation:

The confidence interval is obtained by using the relation :

Xbar ± Zcritical * σ/√n

(Xbar - (Zcritical * σ/√n)) = 5.22 - - - (1)

(Xbar + (Zcritical * σ/√n)) = 5.98 - - (2)

Adding (1) and (2)

2xbar = 5.22 + 5.98

2xbar = 11.2

xbar = 11.2 / 2 = 5.6

Margin of Error :

Xbar - lower C.I = Zcritical * σ/√n

Zcritical at 90% = 1.645

5.6 - 5.22 = 1.645 * (σ/√n)

0.38 = 1.645 * (σ/√n)

(σ/√n) = 0.38 / 1.645 = 0.231

Therefore, using the se parameters to construct at 95%

Zcritical at 95% = 1.96

Margin of Error = Zcritical * σ/√n

Margin of Error = 1.96 * 0.231 = 0.45276

C.I = xbar ± margin of error

C. I = 5.6 ± 0.45276

C.I = (5.6 - 0.45276) ; (5.6 + 0.45276)

C. I = (5.147 ; 6.053)

Hence, 95% confidence interval provides more information as it is wider.