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16

Rami's glass is fuller than Will's glass by 1/8

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

Rami's glass is 1/2 full. Will's glass is 3/8 full.

Convert the fractions to decimal

This gives

Rami's glass is 0.5 full. Will's glass is 0.375 full.

0.5 is greater than 0.375

So, Rami's glass is fuller

To do this, we calculate the difference

So, we have

Difference = 0.5 - 0.375

Evaluate

Difference = 0.125

Rewrite as

Difference = 1/8

Hence, it is 1/8 fuller

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1) Area of each circle = 0.5625π

There are 2 identical circles in the cylinder.

So the total area of all the circles is;  1.125π square inches

2) One side of the rectangle is; 1.5π

The other side of the rectangle is; 4 inches

The area of the rectangle is approximately; 6π square inches

3) The total area of the can is; 7.125π square inches

We can see that the can is broken down into two circles with one atop and one beneath the rectangle. Thus;

1) Area of Circle on top and at bottom = πr² = π * 0.75²

Area of each circle = 0.5625π

There are 2 identical circles in the cylinder.

So the total area of all the circles is 2(0.5625π) =  1.125π square inches

2) One side of the rectangle is; 2πr = 2 * π * 0.75 = 1.5π

The other side of the rectangle is; 4 inches

The area of the rectangle is approximately; 4 * 1.5π = 6π square inches

3) The total area of the can = 6π square inches + 1.125π square inches = 7.125π square inches

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Answer:

60 shots

Step-by-step explanation:

Rewrite the problem as an equation, with x representing the total shots he took:

18/x = 0.3

Multiply both sides by x:

0.3x=18

Divide both sides by 0.3:

60

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Step-by-step explanation:

8/9(54x - 36) +2=-3/4(-40+ 16x) + 90x

or,432x-288+18/2 =120-48x+360x/4

or,4(42x-288+18)=2(120-48x+360x)

or,168x-1080=240-624x

or,162x+624x=1080+240

or,792x=1320

or,X=1320/792

or,X=5/3

Net Price Equivalent Rate is 0.9504

Single Equivalent Discount Rate is 0.0496

Trade Discount is $59.52

Net Price is $1140.48

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent % symbol.

The Net Price Equivalent Rate is calculated by multiplying the complements of the discount series (4/1) together.

Net Price Equivalent Rate = (100% - 4%) * (100% - 1%)

{ by subtracting given discount series from 100}

Net Price Equivalent Rate = 0.96 * 0.99

Net Price Equivalent Rate = 0.9504

The Single Equivalent Discount Rate is found by subtracting the net price equivalent rate from 1.

Single Equivalent Discount Rate = 1 - Net Price Equivalent Rate

Single Equivalent Discount Rate = 1 - 0.9504

Single Equivalent Discount Rate = 0.0496

Trade Discount = List Price * Single Equivalent Discount Rate

Trade Discount = $1200 * 0.0496

Trade Discount = $59.52

Net Price = List Price * Net Price Equivalent Rate

Net Price = $1200 * 0.9504

Net Price = $1140.48

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Cοmplete Questiοn:

Cοmplete The Fοllοwing Tables: (Dο Nοt Rοund Net Price Equivalent Rate And Single Equivalent Discοunt Rate. Rοund The Dοllar Amοunts Tο The Nearest Cent.) Item List Price Chain Discοunt

Cοmplete the fοllοwing tables: (Dο nοt rοund net price equivalent rate and single equivalent discοunt rate. Rοund the dοllar amοunts tο the nearest cent.)

Item List price Chain discοunt Net price equivalent rate (in decimals) Single equivalent discοunt rate (in decimals) Trade discοunt Net price

Samsung Blu-ray player $199 8/4/3

Item List price Chain discοunt           Net price Trade discοunt

Sοny digital camera $320 3/5/9 $ $

Step-by-step explanation:

1. The second regression should be adopted for forecasting because  the R² is higher in this regression and the standard error is also smaller. the t value is also better in this regression compared to the first

2. Using regression 2, the estimated shipping cost is to be calculated here.

= 642.9 + 3.92NR

NR = 600

642.9 + 3.92X600

= 642.9 + 2352

= $2994.9

This is the estimated shipping cost.

3. The limitations could be due to error in data, the data could be unreliable because of the presence of outliers. Pilot shop is a global business so there is another factor to adds to the limitations, as this costs of buying and shipping are affected by fluctuations in exchange rate and variations in the global market.

Answer:

b

Step-by-step explanation:

The given expression can be rewritten as 2 × 5 × 5 × 5 × 5 and is equal to 1250. The correct option is (B).

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The given expression is 2 × 5⁴.

It can be simplified using the rule of indices as follows,

The expression 5⁴ can be written as 4 times 5 as below,

5⁴ = 5 × 5 × 5 × 5.

Then, the expression can be evaluated as

⇒ 2 × 5 × 5 × 5 × 5

⇒ 1250

Hence, the expression can be simplified to obtain 1250.

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Answer:

B, D, and F

Step-by-step explanation:

Separate the triangles into WBY and WXZ

Get each side

for WBY

sides are YW, BY, WB

for WXZ

sides are ZW, XZ, and WX

a. The teacher can expect the batteries to last at least 92.09 days  on minimum average.

b. The teacher will need to spend at most $49.92 on batteries for calculators over the year.

What is minimum average day?

a. The margin of error of ‡9% means that we can be 95% confident that the true average number of days the batteries will last is within 9% of the sample average. To find the minimum average number of days a teacher can expect to have the batteries last in her classroom, we subtract the margin of error from the sample average:

Minimum average = 101 - (0.09)(101) = 92.09 days (rounded to two decimal places)

Therefore, the teacher can expect the batteries to last at least 92.09 days on average.

What is spend ?

b. The total number of batteries required for the 24 TI-84 calculators is:

24 calculators x 4 batteries per calculator = 96 batteries

The total cost of the batteries will be:

96 batteries x $0.52 per battery = $49.92 (rounded to two decimal places)

Therefore, the teacher will need to spend at most $49.92 on batteries for calculators over the year, assuming all batteries need to be replaced.

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Answer:

1.A+B=2y²+3x-x²+3x²-y²=y²+3x+2x²

2.A-B=2y²+3x-x²-3x²+y²=3y²+3x-4x²

3.B+C=3x²-y²+5x²-3xy=8x²-3xy-y²

4.B-C=3x²-y²-5x²+3xy=3xy-2x²-y²

5.A+B+C=2y²+3x-x²+3x²-y²+5x²-3xy

=y²+3x+2x²+5x²-3xy=y²+3x-3xy+7x²

6.A+B-C=y²+3x+2x²-5x²+3xy=y²+3x+3xy-3x²

Answer:

Step-by-step explanation:

center=(-1,1)

radius=√16=4

distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius

Hence point lies on the circle.

Answer:

1.9 percent

Step-by-step explanation:

95 boys + 64 girls = 159 total honor roll students

To quickly find percentages of numbers, think of the current number as 100%, or 1.00. Then, go from there to find the number to multiply to get the percentage you need.

For example, a 25% decrease in the number of girls means the new number will be 75% of the old number, so we multiply the number of girls by 0.75 to get the new number of girls. 64*0.75 = 48.

Same with the boys, 95 boys is 100%, but this year the number increased by 20%, so we need to find 120% of the number, so we multiply it by 1.20. 95*1.20 = 114

To answer this question, we need to know by what percent the total number of honor students increased by, so we need to know the new total number. 48+114 = 162

To find out what percent 162 is out of 159, we divide them. 162 / 159 = 1.0188, or 101.9 percent if you round to the nearest tenth. So, the number of students increased by 1.9%.

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Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Answer: 75/100

Step-by-step explanation:

the total number of flowers= 25+15+30+20+10

                                             = 100

so probability that the flower is not a rose is= 75/100

Note: i got 75 by subtracting 100 by 25                                          

From the given distributions, the distribution that would have the least variation is weights of 20-year-old women. (Option A)

A variation refers to a relation between a set of values of one variable and a set of values of other variables. Hence, in a distribution, variability indicates how far apart points lie from each other and from the center of a distribution or a data set. Variability is also referred to as spread, scatter, or dispersion. There are many ways to describe variability or spread including range, interquartile range (IQR), and variance and standard deviation. The variance is defined as the sum of the squared distances of each term in the distribution from the mean (μ), divided by the number of terms in the distribution (N). The distributions which will have least variation would be weights of 20-year-old women, as due to smaller range, the difference between the values and the mean would be smaller as well. Hence, the variance would be least for this distribution.

Note: The question is incomplete. The complete question probably is: From the following distributions, which distributions would have the least variation. (A) Weight of 20-year-old woman (B) Weight of all adult men (C) Weight of all adults (D) Weight of 20 year old.

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Answer:

156

Step-by-step explanation:

Given that,

\(f(x)=5^x+1\)

We need to find the average rate of  change between x = 0 and x = 4. It can be calculated as follows :

\(r=\dfrac{f(4)-f(0)}{4-0}\\\\=\dfrac{5^4+1-(5^0+1)}{4-0}\\\\=156\)

So, the average rate of change between x = 0 and x = 4 is 156.

Answer:

i dont know just study hard bro

Step-by-step explanation:

Answer:

A =36 ft^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h where b1 and b2 are the lengths of the bases

A = 1/2 ( 13+5) *4

A = 1/2 ( 18)*4

A =36 ft^2

Answer:

9x-8

Step-by-step explanation:

4x-3+8x-5-3x

12x-3-5-3x

12x-8-3x

9x-8

A graph of the given set of functions has been plotted and shown in the image attached below.

In Mathematics, a function simply refers to a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable to an output variable.

In Mathematics, a graph is a type of chart that is typically used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).

By critically observing the graph of this set of functions (see attachment), we can reasonably infer and logically deduce that they both represent parallel lines, with function f(x) being transformed to produce function h(x).

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Answer:

The correct inequalities that could be solved to find the number of purchases that a customer needs to make in order to earn the first gift certificate are:

A) 12p+ 25 <100

C) 12p+ 25 ≥100

D) 12p-25 ≥100

F) 12p≥ 100-25

The inequality 12p+ 25 <100 represents the condition where the customer has fewer than 100 points, so they have not yet earned the first gift certificate.

The inequality 12p+ 25 ≥100 represents the condition where the customer has 100 points or more, so they have earned the first gift certificate.

The inequality 12p-25 ≥100 represents the condition where the customer has at least 100 points, so they have earned the first gift certificate.

The inequality 12p≥ 100-25 represents the condition where the customer has at least 100 points, so they have earned the first gift certificate.

Answer:

This isn't a question

Step-by-step explanation:

Answer:

$199.50

Step-by-step explanation:

10% discount of $34 = 10/100*34 = $3.40

so, a single shirt costs $34-$3.40 = $30.60

half off = 50% discount of $31 = 50/100*31 = $15.50

so, a single cap costs $31-$15.50 = $15.50

so, 5 shirts and 3 caps cost now

5*$30.60 + 3*$15.50 = $153 + $46.50 = $199.50

but careful - can this be a trick question ?

the phrasing of the problem description can also suggest that the discounts are only listed to confuse us and are already included in the mentioned prices ("worth" $34 - what does that mean ? because including the discounts they are currently "worth" their prices).

then it would just plainly be

5*$34 + 3*$31 = $170 + $93 = $263

Answer: Point P

Step-by-step explanation: over 2 up 1 (2,1)

Answer: M

Step-by-step explanation:

Answer:

Take the root of both sides and solve.

\(x = \sqrt{6} , - \sqrt{6} \)

Answer:

Take the root of both sides and solve:

\(x = \sqrt{6}, - \sqrt{6} \)