A restaurant owner mixed the juices of 7 lemons with every 3 oranges to make a special drink

Which ratio of lemons to oranges will make the same drink?
a:28:15
b:42:21
c:​21:9
d:15:35

Answer:

Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:

`y = a * b^(x - h) + k`

where:

- `y` is the quantity you're interested in (cell phone usage),

- `a` is the initial quantity (34 million in 1995),

- `b` is the growth factor (1.22, representing 22% growth per year),

- `x` is the time (the year),

- `h` is the time at which the initial quantity `a` is given (1995), and

- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).

So, our specific model becomes:

`y = 34 * 1.22^(x - 1995)`

To find the cellular usage in 2003, we plug 2003 in for x:

`y = 34 * 1.22^(2003 - 1995)`

Calculating this out will give us the cellular usage in 2003.

Let's calculate this:

`y = 34 * 1.22^(2003 - 1995)`

So,

`y = 34 * 1.22^8`

Calculating the above expression gives us:

`y ≈ 97.97` million.

So, the cellular phone usage in 2003, according to this model, is approximately 98 million.

Answer:

To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:

EAR = (1 + r/n)^n - 1

where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.

For daily compounding, n = 365 (since there are 365 days in a year), so we have:

EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%

To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:

EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%

Therefore, the effective annual rate for hourly compounding is approximately 7.27%.

Answer:$31,500

Step-by-step explanation:

To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.

The formula to calculate simple interest is:

Interest = (Loan Amount) x (Interest Rate) x (Loan Length)

Let's plug in the values given:

Loan Amount = $25,000

Interest Rate = 6.5% (or 0.065 as a decimal)

Loan Length = 4 years

Interest = $25,000 x 0.065 x 4 = $6,500

Now, let's calculate the total amount Mario will pay:

Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500

Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.

Answer:

Step-by-step explanation:

$100x0.5x1=$5

THe value of the expression using BODMAS rule is 26

The abbreviation BODMAS, which stands for "Brackets, Order of powers or roots, Division, and Multiplication," is followed by the BODMAS rule. A stands for addition and S for subtraction. According to the BODMAS rule, multi-step mathematical statements must be solved in the BODMAS order from left to right.

The order of operations, or BODMAS, is a method for carrying out operations in an arithmetic statement. Math is all about logic, and there are several established laws that help us with our calculations. BODMAS is one of the established rules for consolidating multiple operator expressions.

An expression or equation in mathematics has two parts:

A character known as an operator joins two integers to form an expression or equation. The four most often used operators in mathematics are addition (+), subtraction (-), multiplication (*), and division (*/*). Finding the solution to mathematical statements or equations with just one operator is usually rather easy.

The expression is 14 + 2 + 3(4) - (6-1-3) = 14 + 2 + 12 - 2 = 26

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Answer:

between 8 and 9.

EXTRA: if this is the same work sheet I did, I have more answers.

Is it reasonable to predict the water consumption for October? explain.

No, the water consumption should decrease during colder months.

Answer:

9000 gallons

Step-by-step explanation:

Because in spring the months was lower than the summer months, the summer months went up 2 gallons. More water the livestock needed because the hotter it was.

Answer:

A.) Function one has a larger maximum at (4,1)

Step-by-step explanation:

The function f(x) = -x² + 8x - 15 will have larger maximum at ( 4,1 ) so option (B) will be correct.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

A function can be regarded as a computer, which is helpful.

Given 1 function,

f(x) = -x² + 8x - 15  

f(x) = -(x² - 8x + 15 )

f(x) = - [(x - 4)² - 16 + 15 ]

f(x) = -(x-4)² + 1

So vertex will at ( 4,1 )

In function 2,

f(x) =  −x² + 2x − 3

f(x) = - [ x² - 2x + 3 ]

f(x) = -[ (x-1)² - 1 + 3 ]

f(x) = - (x-1)² - 2

So vertex will at ( 1, -2 )

Since in function(1) maximum is at y = 1 while in function (2) maximus is at y = -2

Hence Function 1 has the larger maximum at (4, 1).

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The average number of likes will be 16.5. the correct option is D.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.

Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.

The average will be calculated as:-

Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6

Mean = 99 / 6

Mean = 16.5

Therefore, the average number of likes will be 16.5. the correct option is D.

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Full working out shown from step 1 to last.

follow it and you get 24 square feet as final answer. Good luck in other questions!!!

Answer:

En español pliss y te ayudoo jajjaa

Answer:

x = 3, -7

Step-by-step explanation:

Since you already have the factored form, all you need to do is set the equations equal to zero to find you roots:

x - 3 = 0

x + 7 = 0

x = 3, -7

Answer:

3 or -7

Step-by-step explanation:

For it to equal 0, x must be 3 or -7 because anything multiplied by 0 is 0. So you take each part, x-3 and see how you can make that a 0. x-3=0, therefore x must be 3. Other part x+7=0, x must be -7.

We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:

Step 1 - Picture a

Step 2 - Picture b

Step 3 - Picture c

Step 4 - Picture c.

Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.

The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.

A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.

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Answer:

Step-by-step explanation:

The radius of the given circle is 2 units.

Here, we are given an equation of a circle as follows-

\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)

The general form of the equation of a circles is -

\((x- h)^{2}+ (y-k)^{2} = r^{2}\)

where (h, k) are the coordinates of the center of the circle and r is the radius of the circle.

Let us convert the given equation into the general form by completing the squares as follows -

\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)

\(x^{2}+ (2*4)x+ y^{2} - (2*3)y + 21 = 0\)

\(x^{2}+ (2*4)x+ 16 -16+ y^{2} - (2*3)y + 9 - 9+ 21 = 0\)

\([x^{2}+ (2*4)x+ 16] -16+ [y^{2} - (2*3)y + 9] - 9+ 21 = 0\)

\((x+4)^{2} -16+ (y - 3)^{2} - 9+ 21 = 0\)

\((x+4)^{2} + (y - 3)^{2} = 16 + 9 - 21\)

\((x+4)^{2} + (y - 3)^{2} = 4\)

\((x+4)^{2} + (y - 3)^{2} = 2^{2}\)

Thus, we have obtained the equation of the circle in the general form. From this, we can observe that the center coordinates will be (-4, 3) and the radius of the circle will be 2 units.

Therefore, the radius of the given circle is 2 units.

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The circumference of the circle has a value of 18.86 units

From the question, we have the following parameters:

Radius, r = 3 units

The circumference of the circle can be calculated using the following circumference formula

C = 2πr

Where

π = 22/7 (a constant)

r = 3

Substitute the known values in the above equation

So, we have the following equation

C = 2 * 22/7 * 3

Evaluate the products

So, we have the following equation

C = 18.86

Hence, the circumference is 18.86 units

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Answer:

I think it’s 240

Step-by-step explanation:

Hope this helps

Answer:

approx. 11.18 ft.

Step-by-step explanation:

formula: d=√L²+W²+H²

d=√5²+6²+8²

5²+6²+8²=125

√125 ≈ 11.18 ft

d(diagonal)= 11.18ft

Step-by-step explanation:

3/4" on the blueprint correlates to 10' in reality.

the building (or barn) is 48' high.

so, what is the factor of this compared to the normed 10' ?

10×f = 48

f = 48/10 = 4.8

alright !

now ask we need to do is: apply this factor now to the blueprint scale :

3/4 × 4.8 = 3/4 × 4 8/10 = 3/4 × 4 4/5 = 3/4 × 24/5 =

= 3×24 / 4×5 = 72/20 = 18/5 =3 3/5"

the building/barn is therefore 3 3/5" tall on the blueprint.

Answer:

3.6 inches

Step-by-step explanation:

→ Divide 48 by 10

48 ÷ 10 = 4.8

→ Multiply by 3/4

3/4 × 4.8 = 3.6 inches

Answer:

-5x from both sides

Step-by-step explanation:

When converting an equation to slope-intercept form, you need to isolate the y. The first step in isolating the y is to remove 5x from both sides of the equation:

5x - y = 7

5x - 5x - y = 7 - 5x

-y = 7 - 5x

Now it's just -1y on one side of the equation.

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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Answer:

Part a

Predictor variable -  age of drivers

Outcome variable - number of fatalities caused by elderly drivers out of total 100,000 drivers

Part b

Predictor variable -  Number of family members

Outcome variable - weekly grocery bill

Step-by-step explanation:

Part a)

Predictor variable is basically independent variable whose influence is studied on the  dependent variable or the outcome variable

Predictor variable -  age of drivers

Outcome variable - number of fatalities caused by elderly drivers out of total 100,000 drivers

Part b

Predictor variable -  Number of family members

Outcome variable - weekly grocery bill

Since we cannot have a fraction of a bag, Bob's market can sell a total of 41 complete bags of mixed berries.

Last year, Bob's market ordered 5 2/3 cups of strawberries. This year, they plan to order 6 1/2 times as many strawberries as last year.

Therefore, the quantity of strawberries this year is:

Strawberries = 5 2/3 cups * 6 1/2 = (17/3) cups * (13/2) = (221/6) cups.

They also plan to order 1/6 of a cup of blueberries.

Total berries = Strawberries + Blueberries = (221/6) cups + (1/6) cups = (222/6) cups.

Since they want to sell the berries in 6-ounce bags, we need to convert the cup measurement to ounces.

1 cup = 8 ounces.

Total berries = (222/6) cups * 8 ounces/cup = (1488/6) ounces = 248 ounces.

Now, we can find the number of complete 6-ounce bags they can sell:

Number of bags = Total ounces / 6 ounces = 248 ounces / 6 ounces = 41.3333.

Since we cannot have a fraction of a bag, Bob's market can sell a total of 41 complete bags of mixed berries.

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Answer:

The answer is C. Property tax.

Step-by-step explanation:

An example of a typical cost that is not associated with renting include the following: C. property tax.

In Economics, there are different types of tax that are being levied on individuals or business organizations by the government, and these include the following:

Sales tax

Income tax

Property tax

here, we have,

Generally speaking, property taxes are typically determined with respect to the monetary value of a property in real estate. This ultimately implies that, property taxes are typically determined based on the monetary value that is associated with a property.

In conclusion, last month's rent, security deposit, and pet deposit are examples of cost that are associated with renting.

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Answer:

\(r=160-12m\)

Step-by-step explanation:

Heart rate will be represented by \(r\), minutes will be represented by \(m\).

Here's the equation I came up with:

\(r=160-12m\)

We can also rearrange it to look like a point-slope equation. Either way works, it's the same equation.

\(r=-12m+160\)

This works because her heart rate is decreasing by a constant value. The initial heart rate is like the y-intercept, while the amount that it decreases by is the slope.

I hope this helps!

The equation is y=160-12t where t is the time in minutes.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here, After sprinting, Emilie has a heart rate of 160. As

she cools down, her heart rate falls by 12 beats therefore, we can form the equation as if the time  is t minutes of cooling down then we can the heartbeat at a given time as y=160-12t

Hence, the equation is y=160-12t where t is the time in minutes.

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The sets of ordered pairs that represents a function are {(10,5), (-10,-5), (5,10), (-5,-10)} and {(-6,-1), (13,8), (1,6), (1,-10)}

Ordered pairs are written as a coordinate (x, y). For the given x coordinate points to be a function, the value of its x coordinates (domain) must not be repeated.

From the given ordered pairs, {(10,5), (10,-5), (5,10), (5,-10)} and {(3,5), (-17,-5), (3,-5), (-17,5)} are not functions since there is repetition in their domains.

Hence the sets of ordered pairs that represents a function are {(10,5), (-10,-5), (5,10), (-5,-10)} and {(-6,-1), (13,8), (1,6), (1,-10)}

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Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

Answer:

a = 36

Step-by-step explanation:

For the system to have no solution, the two lines must have the same slope and different y -intercept, that is, be parallel lines.

The slope of the first line is "-1/2" (negative one half) when we solve for y:

\(y = -\frac{1}{2} x+\frac{11}{6}\)

so we want the slope of the second line to be the same, and the y-intercept to be different:

\(y=-\frac{a}{72} x+\frac{61}{36}\)

We see that the y-intercepts are different, so all is needed now is to find the appropriate a that gives a slope = -1/2, and that a value is 36.

The expected number of the real number in any sample size is 150.

What is sample size?

In statistics, the sample size refers to the group of people whose data is analyzed during calculation. Depending upon the constraints, the data is analyzed for the measurement. The analysis of samples is perform with the help of Binomial distribution.

According to the question, the given random sample can be solved with the help of Binomial distribution:

The sample size of teachers: n = 50

Percentage of ghost workers: 30%

Percentage of real workers: 70%

For ghost workers: n = 50 and p = 0.31 and q = 1 - p = 1 - 0.31 = 0.69

Now, to calculate the expected number of the real workers as per given samples:

For real workers: n = 50 and p = 0.70 and q = 1 - p = 1 - 0.70 = 0.30

Expected number is: (n)(q) = (50)(0.30) = 150

Hence, the expected number of the real number in any sample size is 150.

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Answer:

please look at detailed answers below

Step-by-step explanation:

example 1 is correct.

example 2:

x = (12 sin 15) / sin 75 = 3.22.

example 3:

x/sin 90 = 19/sin (180 - 90 -36)

x = (19 sin 90) / sin 54

= 23.5

example 4:

x/sin 53 = 7/sin (180 -90 - 53)

x = (7 sin 53)/ sin

= 9.29