increase 56 in the Ratio 2:3​

Answer:760$ in a week because they worked 5 out of 7 days and made 152$ a day

Step-by-step explanation:

9.5 x 16 = $152

152 x 5 (only weekdays)

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Answer:

-458

Step-by-step explanation:

-1.5(4 - r) = -12 - 6 -446

-6 + r = -464

r = -458

The value of unknown number r for the equation described is equal to the number negative 4. The option B is the correct option.

Algebraic equation are the equation which consist the variables, coefficients of variables and constants.

The algebraic equation are used represent the general problem in the mathematical way to solve them.

The equation given in the problem is,

\(-1.5 (4 -r)=-12\)

To find the value of r we need to simplify the equation, by using the mathematical operations.

First of all divide the equation by number negative 1.5 as,

\(\dfrac{-1.5 (4 -r)}{-1.5}=\dfrac{-12}{-1.5}\\\)

\((4 -r)=8\)

Open the bracket as,

\(4 -r=8\)

Subtract with number 4 both side of the above equation as,

\(\begin{aligned}4-r-4&=8-4\\-r&=4\\\end\)

Change the sine of both the sides as,

\(r=-4\)

Thus, the value of the r on solving the given equation is -4. The option B is the correct option.

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Answer:

Step-by-step explanation:

-1 3/4 = -1.75.

Let Fn be the number of ways of arranging such flagpole with the given conditions.

When arranging a flagpole of n feet high, consider the following cases

If the last flag used is a red flag, then the other flags are n-1 foot high, so they can be seen as arranged on a smaller flagpole of n-1 feet high, which can be done in Fn-1 ways.

Similarly, If the last flag used is a gold flag, then the other flags can be seen as arranged on a smaller flagpole of n-1 feet high. This can be done in Fn-1 ways.

If the last flag used is green, the other flags are n-2 feet high, so the flagpole can be arranged in Fn-2 ways.

Using the sum rule, we obtain that Fn = 2Fn-1 + Fn-2 for all n≥3. Listing all the combinations of flags, the initial conditions are F1 = 2 and F2 = 3.

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The expression equivalent to t is:t = (3p * y)/(2x)

To find the expression equivalent to t, we can manipulate the given equation:

(x)/(y) = (3p)/(2t)

Cross-multiplying, we get:

2t * (x) = (3p) * (y)

Dividing both sides by 2(x), we have:

t = (3p * y)/(2x)

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Answer: 42 / 140

Step-by-step explanation:

It's also able to be simplified.

The fraction of  chocolate cookies is 42/140 or 3/10.

A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given number of sugar cookies = 98

number of chocolate cookies = 42

total cookies = 98 + 42 = 140

the fraction of  chocolate cookies,

=number of chocolate cookies/total cookies

the fraction of  chocolate cookies = 42/140 = 3/10

Hence the fraction is 42/140 or 3/10.

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To declare a variable with a constant value that cannot be changed, you would use the "const" keyword. The correct declaration would be: const double RATE = 3.50;

In this declaration, the variable "RATE" is of type double and is assigned the value 3.50. The "const" keyword indicates that the value of RATE cannot be modified once it is assigned.

The other options provided are incorrect. "double constant RATE=3.50;" and "double const =3.50;" are syntactically incorrect as they don't specify the variable name. "constant RATE=3.50;" is also incorrect as the "constant" keyword is not recognized in most programming languages. "double const RATE = 3.50;" is incorrect as the order of "const" and "RATE" is incorrect.

Therefore, the correct way to declare a variable with a constant value that cannot be changed is by using the "const" keyword, as shown in the first option.

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Answer: A

Step-by-step explanation:

In a cylinder A=2πrh+2πr^2.  Plugging in the values of the problem gives you about 489.8

Answer:

Initial Population size = 2200

Step-by-step explanation:

The initial Population is

2200 * (0.85) ^ t

What you need to do is make the initial time = 0 When you do that you get

2200 * (0.85) ^ 0

Anything to the 0 power = 1 So the answer is 2200

The population of the country will be twice what it was in 1980 approximately 67.8 years after 1980, which would be around 2047.

To find out when the population will be twice what it was in 1980, we need to set up an equation and solve for t.

Let's first determine the population in 1980:

N(0) = 217e0.0102(0) = 217

So, the population in 1980 was 217 million.

Now, we want to find out when the population will be twice that amount:

2(217) = 434

We can set up an equation:

434 = 217e0.0102t

Divide both sides by 217:

2 = e0.0102t

Take the natural logarithm of both sides:

ln(2) = 0.0102t

Solve for t:

t = ln(2)/0.0102

t ≈ 67.8

Therefore, the population of the country will be twice what it was in 1980 approximately 67.8 years after 1980, which would be around 2047.

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yes, for your x to be positive and to make it remain on the left hand side you actually have to add 4x to both side to eliminate x from the right hand side.

The probability that a point chosen at random on the segment satisfies the inequality x≤5 is 0.5.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is used in various fields, including mathematics, statistics, physics, and finance, among others.

Here,

The segment has a length of 8 units and starts at x = 1 and ends at x = 9. The portion of the segment where x ≤ 5 has a length of 4 units. Thus, the probability that a point chosen at random on the segment satisfies the inequality x ≤ 5 is:

Probability = Length of portion where x ≤ 5 / Total length of the segment

Probability = 4 / 8

Probability = 0.5 or 50%

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Complete question:

Find the probability that a point chosen at random on the segment satisfies the inequality: x≤5.

Answer:

a). -23,   b). +250,    c). +8,800  d). -18,  e). -30

Step-by-step explanation:

Words like owe and below usually are negative integers.

Words like earn, altitude (above), are positive integers.

The gradient of the function \(\(f\)\) at the point \(\((-1, -3)\)\) is:

\(\[\nabla f(-1, -3) = \left(-3e^{-3} \sin(12), 4e^{-3} \cos(12)\right)\]\)

To find the gradient of the function \(\( f(x, y) = e^{3x} \sin(4y) \)\) at the point \(\((-1, -3)\)\), we need to compute the partial derivatives with respect to \(\(x\) and \(y\)\) and evaluate them at that point.

The gradient of a function is given by:

\(\[\nabla f(x, y) = \left(\frac{{\partial f}}{{\partial x}}, \frac{{\partial f}}{{\partial y}}\right)\]\)

Let's calculate the partial derivatives:

\(\[\frac{{\partial f}}{{\partial x}} = \frac{{\partial}}{{\partial x}}\left(e^{3x} \sin(4y)\right) = 3e^{3x} \sin(4y)\]\)

\(\[\frac{{\partial f}}{{\partial y}} = \frac{{\partial}}{{\partial y}}\left(e^{3x} \sin(4y)\right) = 4e^{3x} \cos(4y)\]\)

Now, we can evaluate these derivatives at the point \(\((-1, -3)\):\)

\(\[\frac{{\partial f}}{{\partial x}}\Bigr|_{(-1, -3)} = 3e^{3(-1)} \sin(4(-3)) = 3e^{-3} \sin(-12)\]\)

\(\[\frac{{\partial f}}{{\partial y}}\Bigr|_{(-1, -3)} = 4e^{3(-1)} \cos(4(-3)) = 4e^{-3} \cos(-12)\]\)

Simplifying further:

\(\[\frac{{\partial f}}{{\partial x}}\Bigr|_{(-1, -3)} = 3e^{-3} \sin(-12) = -3e^{-3} \sin(12)\]\)

\(\[\frac{{\partial f}}{{\partial y}}\Bigr|_{(-1, -3)} = 4e^{-3} \cos(-12) = 4e^{-3} \cos(12)\]\)

Therefore, the gradient of the function \(\(f\)\) at the point \(\((-1, -3)\)\) is:

\(\[\nabla f(-1, -3) = \left(-3e^{-3} \sin(12), 4e^{-3} \cos(12)\right)\]\)

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Answer: 7 1/2

Step-by-step explanation: Convert 7 1/2 to a decimal then multiply it by 1.6 to get 12.00 then add 48 to get 60.

P.S i got it right

Answer:

y = -3/2 x + 1

Step-by-step explanation:

Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

Answer:

0

8

10

Then make thoes ordered pairs so;

(0,0)

(4,8)

(5,10)

Answer:

0,8,10 i think you plug in 0 for x and do the same for the

others

Answer:

3

Step-by-step explanation:

If y is 4 and the question is y - 1 we can plug in 4 for y. \((4) - 1\).

So what’s 4 minus 1, 3.

HEYA!!

HERE'S YOUR ANSWER!!!!:

Answer:

3

Step-by-step explanation:

if y=4,

Substitute the value of 'y' to the term,

=> so, y-1

=> y=4

=>4-1

=> 3

HOPE IT HELPS!!

So the corresponding answers to these questions are:

\(A) a= 7.33657 \\ b= 1.10757\\B)f(t)^{-1} = log (7.33657)+ t*log(1.10757)\\C)728.10886\\D) 2.86219\)

For the letter a, it will be necessary to calculate the values ​​of a and b, therefore:

\(f(t)=a*b^{t} \\f(7)=15 \\ a*b^{7}=15\\a=\frac{15}{b^{7}} \\f(12)=25\\a= \frac{25}{b^{12}}\\\frac{15}{b^{7}} =\frac{25}{b^{12}}=> b^{5}= 1.66667=> b= 1.10757\\a=\frac{15}{b^{7}}=> a=7.33657\)

So for the letter B we will do the logarithm so we will have:

\(P=f(t)=ab^{t}=(7.33657)(1.10757)^{t} \\f(t)^{-1} = log (7.33657)+ t*log(1.10757)\)

For the letter C we will use the formula given in the statement just substituting the value of t=45:

\(f(t)=ab^{t} \\f(45)=(7.33657)(1.10757)^{45} = 728.10886\)

The formula calculated on the letter B will be useful for the letter D only having to substitute t=45, therefore:

\(f(45)^{-1} = log (7.33657)+ 45*log(1.10757)\\f(45)^{-1} = 2.86219\)

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It will take 15 months for the number of basic subscriptions to match the number of deluxe subscriptions.

Let's denote the number of months passed by "m".

In m months, the number of basic subscriptions will be 288 - 5m (since 5 basic subscriptions are decreasing each month), and the number of deluxe subscriptions will be 93 + 8m (since 8 deluxe subscriptions are increasing each month).

We want to find out when the number of basic subscriptions will match the number of deluxe subscriptions, so we can set the two expressions equal to each other:

288 - 5m = 93 + 8m

We can then solve for m:

288 - 93 = 8m + 5m

195 = 13m

m = 15

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To verify whether a function is a probability mass function (PMF), it must satisfy two conditions: non-negativity and the sum of probabilities equals 1. Once confirmed, we can determine the requested probabilities.

Let's consider the given function and evaluate its properties. A PMF must have non-negative probabilities for all possible outcomes. We check if each probability is non-negative.

Next, we calculate the sum of all probabilities. By adding up the probabilities of all possible outcomes, we should obtain a total of 1. If the sum is equal to 1, the function satisfies the second condition for being a PMF.

Once we have verified that the function is indeed a PMF, we can determine the requested probabilities. These probabilities could be related to specific events or outcomes, which would be mentioned in the given question.

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Answer:

1/5

Step-by-step explanation

-6+5/3-8 = 1/5

Answer:

4.9 * 10⁻⁵

Step-by-step explanation:

0.000049 → 4.9

Answer:

4.9x10^-5

Step-by-step explanation:

\(4.9x10^{-5}\)

If the exponent is negative, then the number is small.

If the exponent is positive, then the number is large.

I hope this helps you! :)

When an increase in one variable is associated with an increase in a second variable, the two variables are known as positively correlated. The correlation coefficient is the measure of the degree of the relationship between two variables.

The correlation coefficient ranges from -1 to 1. A positive correlation coefficient indicates a positive relationship between two variables, while a negative correlation coefficient indicates an inverse relationship between two variables.

A positive correlation coefficient signifies that as one variable increases, the other variable also increases. For instance, the correlation between a person's height and weight is positive because as their height increases, so does their weight.

In the same way, as a person's income increases, so does their level of expenditure. Positive correlations can be either strong or weak.A strong correlation is indicated by a correlation coefficient close to 1, while a weak correlation is indicated by a correlation coefficient closer to zero.

For example, the correlation between a person's weight and the number of hours they exercise per week is strong. When a person's exercise time increases, so does their weight loss. In conclusion, when an increase in one variable is associated with an increase in a second variable, the two variables are positively correlated.

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The ratio of the area of the poster board to the area of the sign is;  5:432.

Now, for the given question;

The dimension of poster board are;

Length = 6 inches

Width = 4 inches.

Area of rectangle = length×breadth

Area = 6×4 = 10 inch²

Thus, the area of rectangular board = 10 inch².

The dimension of sign are;

Length = 3 feet

Width = 2 feet

Area of rectangle = length×breadth

Area = 3×2 = 6 ft²

Thus, the area of sign = 6 ft².

Convert the area of sing from ft² to inch².

1 foot = 12 inches.

1 ft² = 12×12  inch².

Area of sign = 6×12×12  inch².

Area of sign = 864  inch².

The ratio of the area of the poster board to the area of the sign is;

poster board/sign = 10 inch²/864  inch².

poster board/sign = 5/432

Thus, the ratio of the area of the poster board to the area of the sign is;  5:432.

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Answer:

There are 2 bottle of 1 pint and 1 bottle of 1 cup.

Step-by-step explanation:

Okay, so first let's look at the conversion factors of these units:

   1 quart=2 pints & 1 quart= 4 cups.

Alright well, we already have 1.75 out of 3 quarts of the strawberry puree so all

we need left is 1.25 quarts left. So since 1 pint= .5 quarts and 1 cup=.25 quarts

we need to buy 2 pints and 1 cup to give us our three quarts.

 Hence, there are 2 bottle of 1 pint and 1 bottle of 1 cup.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

51840

\( 51840\)

Answer:

518400

Step-by-step explanation:

7200 ÷ 10 is just the zero less:

= 720

Then

720 × 720 =

+1440

+5040

=518400

The particular solution to the given system is: x_p(t) = (-1/17)cos(4t) + Bsin(4t) and y_p(t) = Ccos(4t) + Bsin(4t). This particular solution satisfies the given system of equations.

To find a particular solution using the method of undetermined coefficients, we assume that the particular solution can be written in the form of:

x_p(t) = A cos(4t) + B sin(4t)
y_p(t) = C cos(4t) + D sin(4t)

Taking the derivatives, we have:

x'_p(t) = -4A sin(4t) + 4B cos(4t)
y'_p(t) = -4C sin(4t) + 4D cos(4t)

Substituting these into the given system of equations:

-4A sin(4t) + 4B cos(4t) = A cos(4t) + B sin(4t) - 17(C cos(4t) + D sin(4t)) + 4cos(4t)
-4C sin(4t) + 4D cos(4t) = A cos(4t) + B sin(4t) - (C cos(4t) + D sin(4t))

Simplifying these equations, we get:

(-17A + 1)cos(4t) + (17B - 17C)sin(4t) = 4cos(4t)
(A - C)cos(4t) + (B - D)sin(4t) = 0

Comparing the coefficients of cos(4t) and sin(4t) on both sides, we can equate them to find the values of A, B, C, and D:

-17A + 1 = 4
17B - 17C = 0
A - C = 0
B - D = 0

Solving these equations, we find:

A = -1/17
B = C
D = B

Therefore, the particular solution to the given system is:

x_p(t) = (-1/17)cos(4t) + Bsin(4t)
y_p(t) = Ccos(4t) + Bsin(4t)

This particular solution satisfies the given system of equations.

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