Gourmet Eatery has a policy of automatically adding a 18% tip to every restaurant Bill if a restaurant bill is $12 how much is it

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

hence the combination=

\( \bold {4y - 8}\)

All the best !

Answer:

4(y-8)

Step-by-step explanation:

5y-y (1) = 4y-8

4 (y-8)

They spend $5.88 on a gift, but there is not enough money left over to spend $3.25 on a card, if Samuel and Jason spent 3/4 of their combined earnings from 100 by gift.

A formula that expresses the connection between two expressions on each side of a sign is called equation. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2.

Given,

Samuel and Jason spent 3/4 of their combined earnings from 100 by gift.

Samuel and Jason's profits as of Wednesday are as follows:

Earnings for Samuel:

12.5 x 40  

$5.

Earnings for Jason are

7.1 x $0.40

$2.84.

The total revenue for Wednesday is:

Samuel's and Jason's combined incomes are equal.

Earnings totaled

$5 + $2.84 = $7.84

The money that was spent is:

Total income multiplied by 34 equals spent income.

Earnings spent = 7.84 x 1/4

Earnings spent =  $5.88

The remainder is:

Equation

Leftover = Total Earnings - Spent Earnings

7.84 - 5.88 =  $1.96 in leftovers.

They spend $5.88 on a gift, but there is not enough money left over to spend $3.25 on a card.

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Answer:

3/8 or 3:8

Step-by-step explanation:

pink : not pink

6 : 16

Think of it as a fraction. Simplify it in the same way.

6/16 simplifies to 3/8

So the pink:notpink ratio is 3/8 or 3:8

Answer:

16 feet per second

Step-by-step explanation:

Divide 480 feet by 30 seconds.

Answer:

9 inches

Step-by-step explanation:

9 times 6=54

Let's label the arcs in the circle to be precise.

From the illustration, we can see that the inscribed angle x has intercepted the Arc AB.

Based on the theorem, the measure of the inscribed angles is half the measure of its intercepted arc. Hence, we can say that:

To find the measure of angle x, we need to know first the measure of arc AB.

Notice in the diagram, Arc AB + Arc BC is a semicircle. The total measure of the angles in a semicircle is 180 degrees.

Since we know that Arc BC = 122 degrees, we can subtract this from 180 to get the measure of Arc AB.

Hence, the measure of Arc AB is 58 degrees.

Going back to the equation we have formed based on the theorem about inscribed angles, we can plug in the measure of Arc AB and solve for x.

Hence, the measure of the inscribed angle x is 29 degrees.

Answer:

-3 on 4

Step-by-step explanation:

slop is given by change in y coordinate over change in x coordinate

absolute difference is the number of ulps (floating-point intervals) between x and y.

def ulps(x, y):

   # convert to integers

   x_int = int(x * 2**32)

   y_int = int(y * 2**32)

   # calculate and return the difference

   return abs(x_int - y_int)

1. The function takes two floating point parameters, x and y.

2. The function converts the floating point parameters to integers by multiplying each parameter by 2**32.

3. The function then calculates and returns the absolute difference between the two integers.

4. This absolute difference is the number of ulps (floating-point intervals) between x and y.

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Answer: -5

Step-by-step explanation:

-8 + (15-3) / 4

-8 + 12 / 4

-8 + 3

-5

Answer:

For Lin's answer

Step-by-step explanation:

When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.

Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.

Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.

The reason is while computing the area is found to be 14 square units.

The area of Triangle = 1/2* base *  height

given:

assumed area to be 14 square units

We will take the case of Elena

In figure the base = 7 units

height = 4 units

Area of triangle

=1/2*base*height

=1/2 * 7 * 4

=7*2

=14 square units

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Comparing the measurement needed for the batch and the measurement of the scale, Robert does not have enough noodles.

A fraction is a non-integer. It is made up of numerators and denominators. A decimal is a non-integer where the integers are differeniated from a non-integer by a decimal point.

In order to determine the answer, convert the fraction to a decimal by dividing the numerator by the denominator.

4 1/6 = 4. 17

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Answer:

Step-by-step explanation:

The relation between time, speed, and distance can be used to write equations for the speeds in each direction.

Let p and w represent the speeds of the plane and the wind, respectively. The speed with the wind is ...

  speed = distance/time

  p +w = 1071/7 = 153

The speed against the wind is ...

  p -w = 1071/9 = 119

The plane's speed can be found by adding these two equations:

  (p +w) +(p -w) + (153) +(119)

  2p = 272

  p = 136 . . . . . divide by 2

The wind speed can be found from either equation:

  w = p -119 = 136 -119 = 17

The speed of the plane in still air is 136 miles per hour; the speed of the wind is 17 miles per hour.

Step-by-step explanation:

One possible equivalent equation to the given formula is:

uppercase B = 3 uppercase V ÷ h

To see why this equation is equivalent, we can isolate uppercase B in the original formula by multiplying both sides by 3/h:

3/h * uppercase V = 3/h * (one-third uppercase B h)

Simplifying the right-hand side:

3/h * (one-third uppercase B h) = uppercase B

Substituting back in the original formula gives:

uppercase B = 3/h * uppercase V

I think the answer is A and C!

Answer:

B) Keeping A constant and decreasing B

C) Increasing A and keeping B constant

Step-by-step explanation:

I did it on Khan Academy :)

Answer:

g = -16

Step-by-step explanation:

-12/3 = -4

-4 x 4 = -16

Answer:

Step-by-step explanation:

y=x+69

Answer:

y=x+69

Step-by-step explanation:

5+69=74

6+69+75

etc.

The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

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Answer:

$96

Step-by-step explanation:

4/50=.08 which is sales tax rate

1200X.08=$96 sales tax

Answer:

3 and 5 the two middle numbers

median is the middle number in a sequence

Answer:

5

Step-by-step explanation:

First we put all the numbers in order like so: 3,4,5,5,6,7

If we had a odd number of numbers we would just pick the middle one

But since here we have 6 numbers its even so 5 and 5 come in the middle so it is automatically 5.

Hope I could help!

It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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9514 1404 393

Answer:

Step-by-step explanation:

If Joe reads 4 novels each month, the number of novels read will be 4 times the number of months that have passed.

  N = 4M

__

When M=11, we have ...

  N = 4×11 = 44

Joe needs to read 44 novels in 11 months.

Answer:the answer is 21 with np repeats

Step-by-step explanation:

Answer:

\(\dfrac{18(3\sqrt2-1)}{17}\)

Step-by-step explanation:

The given expression is :

\(x=\dfrac{18}{3\sqrt2+1}\)

We need to rationalize the denominator.

Multiplying and dividing both sides by \(3\sqrt2+1\) as follows :

\(x=\dfrac{18}{3\sqrt2+1}\times \dfrac{3\sqrt2-1}{3\sqrt2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(3\sqrt2)^2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(18-1}\\\\=\dfrac{18(3\sqrt2-1)}{17}\)

So, the answer is \(\dfrac{18(3\sqrt2-1)}{17}\).

Answer:

a) The 90% confidence interval for the mean is (34.08, 35.52).

b) The 90% confidence interval for the mean is (34.44, 35.16).

c) Width for n=81: 1.44

Width for n=324: 0.72

d) The width of the interval is reduced by a factor of √4=2.

Step-by-step explanation:

a) We have to calculate a 90% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=34.8.

The sample size is N=81.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

\(s_M=\dfrac{s}{\sqrt{N}}=\dfrac{3.9}{\sqrt{81}}=\dfrac{3.9}{9}=0.43\)

The degrees of freedom for this sample size are:

\(df=n-1=81-1=80\)

The t-value for a 90% confidence interval and 80 degrees of freedom is t=1.66.

The margin of error (MOE) can be calculated as:

\(MOE=t\cdot s_M=1.66 \cdot 0.43=0.72\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M-t \cdot s_M = 34.8-0.72=34.08\\\\UL=M+t \cdot s_M = 34.8+0.72=35.52\)

The 90% confidence interval for the mean is (34.08, 35.52).

b) As the sample size has changed, we recalculate the standard error:

\(s_M=\dfrac{s}{\sqrt{N}}=\dfrac{3.9}{\sqrt{324}}=\dfrac{3.9}{18}=0.22\)

The degrees of freedom for this sample size are:

\(df=n-1=324-1=323\)

The t-value for a 90% confidence interval and 323 degrees of freedom is t=1.65.

The margin of error (MOE) can be calculated as:

\(MOE=t\cdot s_M=1.65 \cdot 0.22=0.36\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M-t \cdot s_M = 34.8-0.36=34.44\\\\UL=M+t \cdot s_M = 34.8+0.36=35.16\)

The 90% confidence interval for the mean is (34.44, 35.16).

c. The widths are:

For n=81

\(w_a=UL-LL=35.52-34.08=1.44\)

For n=324

\(w_b=UL-LL=35.16-34.44=0.72\)

d. The effect of quadrupling the sample size, with all the other parameters constant, is that the width of the interval is reduced by a factor of 2.

This is because the standard error, and therefore the margin of error, is reduced by a factor of √4=2, when the sample size is quadrupled.

The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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The confidence interval of this confidence level as calculate from the given data is 3.68 and 99% respectively.

Number of random sample (n)=28

Sample Standard deviation (S)=19.52

Confidence interval = 439.23 -  460.77 =  21.54

t = s/root of n

=19.52 /5.29

=3.68

v = n -1 = 27

now, confidence level

= 1 - alpha

= 99%

Confidence Interval, put simply, is a range within which we are confident that the genuine value exists. The probability that a confidence interval will contain the real parameter value depends on the confidence level that is chosen for the interval.

The phrase "Confidence Interval" refers to the range of values that is typically used to handle population-based data, extracting precise, important information with a given level of confidence.

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