the sales-tax rate in new york is 8 and 1/4%. how much city sales tax would be charged on a purchase of $428.86? what will be the total cost of the purchase

Answer: 817.9

Step-by-step explanation:

area of sector : 150/360 x 3.14 (pi) x (27.8)^2 = 1011.1323

area of circle: 1/2 x 27.8^2 x sin150 = 193.21

subtract area of sector from area of circle to get area of shaded region :)

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

0.4+0.3=0.7

0.7x6=4.2

Answer:

4.2

Step-by-step explanation:

6(0.4+0.3)

=> 6(0.7)

=> 6 x 0.7

=> 4.2

Answer:

rational integer and whole

Answer:

D. Rational, integer, and whole.

Step-by-step explanation:

0 can be written in a ton of fraction forms (like \(\frac{0}{2645648}\)), so it is rational.

Whole numbers include 0 and the natural numbers, but natural numbers alone, don't include 0.

Integers are the whole numbers and they negative opposites.

Answer:

8.77

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

Answer:

b= 8.77

Step-by-step explanation:

b can be solved as :

13.65=b+4.88 .... given

13.65 - 4.88 =b .... taking 4.88 to the left and it change it's sighn as it pass through equal sighn.

b= 8.77

The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

According to the given question.

We have a function

f(x) = -1/(5x -12)

As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.

The difference quotient formula of the function y = f(x) is

[f(x + h) - f(x)]/h

Where,

f(x + h) is obtained by replacing x by x + h in f(x)

f(x) is a actual function.

Therefore, the difference quotient formual for the given function f(x)

= [f(x + h) - f(x)]/h

= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)

= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)

= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)

= \(\frac{-1+5h}{(5x +h-12)(h)}\)

= \(\frac{-1+5h}{5xh + h^{2} -12h}\)

= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)

= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)

Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

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The probability that one toss will come up heads and the other will come up tails when you flip a coin two times is 50%.

Imagine you've got a coin, and you flip it two times. Once you flip a coin, it can either arrive on heads (the side with a confront) or tails (the side with the hawk, in the event that it's a US quarter).

On the off chance that you flip the coin two times, there are four distinctive conceivable ways the coin can arrive:

heads-heads (HH),

heads-tails (HT),

tails-heads (TH),

and tails-tails (TT).

Presently, out of these four conceivable results, the HT and TH results have one hurl(toss) that comes up heads and the other hurl that comes up tails. So, we're curious about the likelihood of getting either HT or TH.

Since there are four conceivable results and two of them are HT and TH, the likelihood of getting one hurl that comes up heads and the other that comes up tails is 2 out of 4, or 50%.

So, in the event that you flip a coin two times, there's a 50-50 chance that you'll get one hurl that comes up heads and the other that comes up tails

Hence, the likelihood that one hurl will come up heads and the other will come up tails after you flip a coin two times is 2 out of 4, or 50%. 

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The correct answer is graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 6 and 75 hundredths through the point 3 comma 9.

Axis refers to the number of dimensions in a graph, chart, or plot. It is an imaginary line that is used to measure and plot values in a graph. In a line graph, the x-axis is the horizontal line and the y-axis is the vertical line.

The first graph shows a relationship between the number of side dishes and the total cost of the special that does not match the data given in the table.

The second graph does not reflect the data given in the table, as the total cost of the special increases from $5.25 to $9.00 when the number of side dishes increases from 0 to 5.

The third graph also does not reflect the data given in the table, as the total cost of the special increases from $6.75 to $8.25 when the number of side dishes increases from 0 to 4.

The fourth graph also does not reflect the data given in the table, as the total cost of the special increases from $5.75 to $7.25 when the number of side dishes increases from 0 to 1.

Therefore, the correct answer is mentioned above. This graph accurately reflects the relationship between the number of side dishes and the total cost of the special.

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The correct answer is "graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0,6 and 75 hundredths through the point 3,9".

Axis refers to the number of dimensions in a graph, chart, or plot. It is an imaginary line that is used to measure and plot values in a graph.

This graph correctly illustrates the relationship between the number of side dishes and the total cost of the special as shown in the table.

The line starts at 0 side dishes and $6.75

and ends at 4 side dishes and $8.25, both of which are in the table.

The graph accurately reflects this by having a line that starts at 2 side dishes and $6.75 and ends at 5 side dishes and $9.00.

This shows that as the number of side dishes increases, the cost also increases.

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Answer:

Answer:

That's a trapezoid! You can tell because there is one straight line, two horizontal lines, and a slanted line. Hope this helps!! (:

Answer:

because you add. if you would subtract 6 inches by 3 inches it would be 3 inches.

There are 86 treats did Sidney buy in all.

We have to given that;

Sidney bought some treats for her puppy.

And, She bought 5 packs of crunchy treats and 7 bags of soft treats.

Since, There were 6 crunchy treats in each pack and 8 soft treats in each bag.

Hence, Total crunchy treats in 5 packs are,

= 5 x 6

= 30

And, Total soft treats in 7 bags are,

= 8 x 7

= 56

Therefore, Total number of treats did Sidney buy in all is,

⇒ 56 + 30

⇒ 86

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In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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The amount of yoghurt used in 800 ml salad dressing is 300 ml.

Let the amount of yoghurt and mayonnaise used be 3x and 5x. So, forming the equation based on total amount.

3x + 5x = 800

Performing addition on Left Hand Side of the equation

8x = 800

x = 800 ÷ 8

Performing division on Right Jand Side of the equation

x = 100

So, the amount of yoghurt required = 3x

The amount of yoghurt = 3 × 100

Performing multiplication

The amount for yoghurt = 300 ml

Hence, the amount of yoghurt is 300 ml.

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Answer:

solution,

In rectangle, the diagonal bisects each other,

BE=ED

\(2x + 4 = 7x - 1 \\ or \: 2x - 7x = - 1 - 4 \\ or \: - 5x = - 5 \\ or \: x = \frac{ - 5}{ - 5} \\ x = 1\)

Hope this helps..

Good luck on your assignment..

Answer:

$33.84

Step-by-step explanation:

Sale price = price - 10% = 90%

90% = 0.9

37.6(0.9) = $33.84

The probability that a random variable lies within 1.5 standard deviations of the mean is approximately 34% (or 0.340 when rounded to three decimal places).

To find the probability that a random variable lies within 1.5 standard deviations of the mean in a normal distribution, we can use the empirical rule (also known as the 68-95-99.7 rule). According to this rule, approximately 68% of the data falls within 1 standard deviation of the mean, approximately 95% falls within 2 standard deviations, and approximately 99.7% falls within 3 standard deviations.

In this case, we are interested in the probability within 1.5 standard deviations. Since 1.5 is less than 2 (the second standard deviation), we can use the rule to estimate the probability.

The empirical rule tells us that approximately 68% of the data falls within 1 standard deviation. Therefore, approximately half of this percentage, or 34%, falls within half of the standard deviation.

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Answer:

268

Step-by-step explanation:

Answer:

The solution is, x = -3, y = 3

And so the ordered pair is (-3,3)

Step-by-step explanation:

We have the equations,

\(3x+5y=6 \ (i)\\ 4x+2y=-6 \ (ii)\\\)

Solving,

from (ii),

\(4x+2y=-6\\dividing \ both \ sides \ by \ 2,\\(4/2)x+(2/2)y=-6/2\\2x+y=-3 \ (iii)\)

So,

\(2x +y =-3\\y=-3-2x\)

Putting value of y in (i),

\(3x+5(-3-2x)=6\\3x-15-10x=6\\-7x-15=6\\-15=6+7x\\-15-6=7x\\-21=7x\\x=(-21/7)\\x=-3\)

Using this to find y,

from  y = -3-2x,

\(y=-3-2x\\since \ x=-3,\\y=-3-2(-3)\\y=-3+6\\y=3\)

Hence we get x = -3, y = 3

The ordered pair is, (-3,3)

Answer:

Step-by-step explanation: the equation for 3x+5y=6 is equal to 3

for 4x+2y=-6 you would have to do -6 minus 2 and you will get -8 bring that down. then that 4x you have left bring it down and if the variable is close to the number you do the opposite. for example you would have to divide 4 into -8 and you will get -32.

The calculated value of x in the right triangle is 7

To find the value of x, we can use the trigonometric ratios of sine, cosine, and tangent.

In this problem, we know that the hypotenuse is 14 units and the angle between the hypotenuse and the base is 30 degrees. Let's label the adjacent side (the side adjacent to the 30-degree angle) as a and the opposite side (the altitude) as x.

Then, using the definition of sine, cosine, and tangent, we can write:

sin(30°) = x/14

cos(30°) = a/14

tan(30°) = x/a

So, we have

x/14 = 0.5

Solving for x, we get:

x = 7

Therefore, the value of x in simplest form is 7

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The square root of 2d^4 is √2d^4 = d^2√2. To simplify the expression, we can break down 2d^4 into its factors: 2 and (d^2)^2. Taking the square root of (d^2)^2 gives us d^2, and the square root of 2 cannot be simplified any further. Therefore, the final answer is d^2√2.

Here's the step-by-step explanation:

1. Identify the expression: 2d^4
2. Apply the square root to the expression: √(2d^4)

Now, we will break down the square root into its components:

3. Separate the numerical part and the variable part: √2 * √(d^4)
4. Find the square root of the numerical part: √2 (we cannot simplify this further)
5. Find the square root of the variable part: √(d^4) = d^2 (because the square root of d raised to an even power is d raised to half that power)

Finally, we will combine the results:

6. Combine the simplified square root components: √2 * d^2

So, the square root of 2d^4 is √2 * d^2.

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Answer:

8.64

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Im going to be quick on this since your in a hurry, is AB is 3 and QR = 1  and their similar then BC would be 3 times the amount of RS which is 1.5 so the Answer is 4.5

Answer:

C

Step-by-step explanation:

　　＿＿＿　 AA

*～/■　■　⊂ P

　 |　■　■.（＿）

　 U U￣￣U U

The function y = x  satisfies the given differential equation  4y'' + 2y' − 2y = 0 when x = 1.

To determine the values of r for which the function y = x  satisfies the given differential equation  4y'' + 2y' − 2y = 0,  we need to substitute y = x   into the equation and solve for r.

First, let's find the first and second derivatives of y = x

y' = 1

y" = 0

Now, substitute these derivatives, and y = x into the differential equation:

4y'' + 2y' − 2y = 0 =

= 4(0) + 2(1) - 2(x) = 0

2 - 2x  = 0

x = 1

Therefore, the function y = x  satisfies the given differential equation  4y'' + 2y' − 2y = 0 when x = 1.

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Answer:

Given: △ABC, m∠B=90° AB=12, BC=16, BK ⊥ AC . Find: AC and BK.

Given: △ABC, m∠B=90°

Find: AC and BK.

Short leg 90 degrees Long leg Hypotenuse

AB=12 90 BC=16 AC= ?

AK = ? 90 BK = ? AB=12

AC = SQRT (AB*AB + BC*BC) = 20 [right triangle; Pythagorean Theorem]

Similar triangles:[Note: In diagram, share two angles. Therefore share three angles]

BK / 16 = AB / AC

BK / 16 = 12 / 20

BK = (3/5)16

BK = 48/5

another answer let see this

AB^2+BC^2=AC^2

12^2+16^2=AC^2

144+256=AC^2

400=AC^2

20=AC

# be careful#

ΔABC and ΔBKC are similar triangles, the missing measures are:

If two triangles are similar, their corresponding sides are proportional to each other.

When a segment of a right triangle intersects the hypotenuse, the triangles formed are similar to each other.

Thus, using Pythagorean Theorem:

AC = √(AB² + BC²)

Substitute

AC = √(12² + 16²)

AC = 20 units.

Find BK:

ΔABC ~ ΔBKC (similar right triangles)

Thus:

AB/BK = AC/BC

Substitute

12/Bk = 20/16

Cross multiply

BK = (16 × 12)/20

BK = 9.6

Therefore, ΔABC and ΔBKC are similar triangles, the missing measures are:

AC = 20 units

BK = 9.6 units.

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Answer:

x² - 8x - y = -7
4x² + 8x - y = 12
x = -5, -1
x = 1, 3

Step-by-step explanation:

Standard form means two variables on one side of the equation and a constant on the other side.

y = (x-7)(x-1)

y = x² - 8x + 7

x² - 8x - y = -7

y = 4(x - 1)(x + 3)

y = 4x² + 8x - 12

4x² + 8x - y = 12

The second part says to determind the x-intercepts and zeros of each function. X-intercepts means places where the function crosses the x-axis, or where y = 0. The zeros of a function are the same thing. This means where f(x) = 0.

So for the first equation, we look to see when values of x cause the function to be equal to 0. Any term on the left side must equal 0 for this to happen. To find the zeros, set a polynomial term equal to zero and solve for x. So...x = -5, -1 achieves this result.

For the second equation, we set (x - 3) and (x - 1) equal to zero, solve for x, and we get that x = 1, 3.

Answer:

23mm

Step-by-step explanation:

\(area = \frac{1}{2} bh\)

\(184 {mm}^{2} \: = \: \frac{1}{2} \times 16mm \: \times \: b\)

\(184 {mm}^{2} = \frac{16}{2} mm \times b\)

\(184 {mm}^{2} = \: 8mm \: \times \: b\)

\( \frac{184 {mm}^{2} }{8mm} = \: \frac{8mm}{8mm} \times b\)

\(b = 23mm\)

hope it helps

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