What is the domain of the equation y = 2/5x - 4?

Answer:   $132

Step-by-step explanation:

(3t + 2) = 55

(2t + 5) = 77

$55 + $77 = $132

Answer:

910*(1.2)^t

Step-by-step explanation:

Given data

Initial population= 910 quail

Rate= 20%

Let us use the model below

A= P(1+r)^t

r= 0.2

A= 910(1+0.2)^t

A= 910*(1.2)^t

Hence the expression to model the population is  910*(1.2)^t

An initial population of 910 quail increases at an annual rate of 20%.

So,

910*(1.2)^t

Step-by-step explanation:

Given data

Initial population= 910 quail

Rate= 20%

Let us use the model below

A= P(1+r)^t

r= 0.2

A= 910(1+0.2)^t

A= 910*(1.2)^t

Hence the expression to model the population is 910*(1.2)^t.

An exponential function is a mathematical function of the following form: f ( x ) = an x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.

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The amount of money a farmer can make by selling the milk produced by the cow in the month of April is $90

From the equation given, we have that

$3 = I gallon

Let's take it that the farmer sells one gallon by per day

We know that the month of April has 30 days

So if he makes $3 in 1 day

He would make x in 30 days

Collect like terms

$30 × 30 days = amount

Multiply through

Amount = $90

Thus, the amount of money a farmer can make by selling the milk produced by the cow in the month of April is $90

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answer: 85+85+85+25



Answer:

D.

Hope this helps!

Step-by-step explanation:

A and C are both squares and B is a rectangle but is different because the values are in different spots than the on the solid figure shown.

Answer:

The pair of fractions with the smallest common denominator is;

Explanation:

Given the fractions;

To write it as a pair of fractions with the smallest common denominator, let us find the least common multiple of the denominator of the fractions.

expressing the fractions with a denominator of 12;

Therefore, The pair of fractions with the smallest common denominator is;

The additive inverse, or opposite, of the number - 13 can be found to be + 13.

In mathematics, the additive inverse (or opposite) of a number is the number that, when added to the original number, results in a sum of zero. In other words, the additive inverse "cancels out" the original number when they are added together.

The additive inverse, or opposite, of a number is the number that, when added to the original number, results in a sum of zero. To find the additive inverse of -13, you simply change its sign.

The additive inverse of -13 is +13.

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Full question is:

Find the additive inverse, or opposite, of - 13?

Explanation

The range represents the y-value of the given points

Answer:

y is -2 is the answer for the question

Answer:

6x + 3y = 1

I hope this helps!

Answer:

At 4:00 PM the distance between the two ships is 104.40 kilometers.

Step-by-step explanation:

Given that at noon, ship A is 150 km west of ship B, and ship A is sailing east at 30 km / h and ship B is sailing north at 25 km / h, to determine how fast is the distance between the ships changing at 4:00 PM the following calculation must be performed:

150 - (30 x 4) = 150 - 120 = 30

0 + (25 x 4) = 0 + 100 = 100

30 ^ 2 + 100 ^ 2 = X ^ 2

√ (900 + 10,000) = X

√10,900 = X

104.40 = X

Therefore, at 4:00 PM the distance between the two ships is 104.40 kilometers.

The solution to the equation is x = -1.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.

To solve this equation, we need to use the order of operations to simplify the expression on the left side of the equal sign.

The order of operations tells us that we should perform operations within parentheses first, then perform any exponents or radicals, then perform any multiplications or divisions (working from left to right), and finally perform any additions or subtractions (also working from left to right).

Using the order of operations, we can simplify the left side of the equation as follows:

-1 - 7x - 6(-7 - x) = 36

(-1 - 7x) - 6(-7 - x) = 36

-1 - 7x - (-42 - 6x) = 36

-1 - 7x + 42 + 6x = 36

5x + 41 = 36

5x = -5

x = -1

Therefore, the solution to the equation is x = -1.

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Answer:

\(\sf sin(B)= \dfrac{8}{17}\)

Explanation:

\(\hookrightarrow \sf sin(x)= \dfrac{opposite}{hypotensue}\)

using the formula:

\(\sf sin(B)= \dfrac{8}{17}\)

Answer:

b) 8/17

Step-by-step explanation:

\(\mathsf{sin(\theta)=\dfrac{opposite \ side}{hypotenuse}}\)

\(\mathsf{sin(B)=\dfrac{8}{17}}\)

The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we  two by the product of a number and 7, the result is at most -29 if the number is -31/7.

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Answer:

The answer is A I just took the test

Step-by-step explanation:

Multiplication equations can be modeled using decimal models.

The multiplication equation is: \(\mathbf{0.50 \times 0.90 = 0.45}\)

From Phil model, we have the following highlights

So, the multiplication expression is:

\(\mathbf{\frac{50}{100} \times \frac{90}{100}}\)

Express as decimals

\(\mathbf{0.50 \times 0.90}\)

Multiply

\(\mathbf{0.50 \times 0.90 = 0.45}\)

Hence, the multiplication equation is: \(\mathbf{0.50 \times 0.90 = 0.45}\)

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Answer:

\( {2 }^{2} \times 3 {}^{1} \times 5\)

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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Answer:

4/3 square feet.

Step-by-step explanation:

To find the area of the replica, you need to use a formula that relates the area of the original figure and the area of the dilated figure by the scale factor1. The formula is:

Area of dilated figure = Area of original figure x (Scale factor)^2

In this case, the area of the original artwork is 12 square feet and the scale factor is 1/3. So, we plug these values into the formula and get:

Area of replica = 12 x (1/3)^2

Area of replica = 12 x 1/9

Area of replica = 4/3

So, the area of the replica is 4/3 square feet.

Hope this helps :)

The equation of line that passes through (4,3) and is parallel to x + y = 6 is y = -x + 7.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line

x + y = 6

y = -x + 6

Using the slope intercept, slope m is -1

The equation of a parallel line to y = -x + 6 must have a slope similar to the original slope.

Slope of parallel line = -1

Plug the slope m = -1 and point (4,3) into point-slope formula and simplify.

( y - y₁ ) = m( x - x₁ )

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

y - 3 = -x + 4

y = -x + 4 + 3

y = -x + 7

Therefore, the equation of the parallel line is y = -x + 7.

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Answer:

Camera I (camera I is across from the longest side: 150 ft)

Step-by-step explanation:

Answer:

0.0

Step-by-step explanation:

To find 0.007 divided by 0.498, we can perform the following calculation:

0.007 / 0.498 ≈ 0.0141

Rounding this to the nearest tenth gives:

0.0141 ≈ 0.0

Therefore, the result, rounded to the nearest tenth, is 0.0.

Answer : 0.99

Explanation :  15 * 6.6/100 For The Tax.

Total : 15.99

Answer:

Step-by-step explanation:

To find the slope of the tangent at a point we will find the derivative of equation at that point.

a). y = x² - 10x

\(\frac{dy}{dx}=\frac{d}{dx}(x^{2} -10x)\)

y' = 2x - 10

At (x = 2),

y' = 2(2) - 10

y' = 4 - 10

y' = -6

From the given equation,

y = 2² - 10

y = -6

Therefore, y-coordinate of the point is y = -6

Equation of the tangent at (2, -6) having slope = -6

y - 2 = -6(x - 2)  

y - 2 = -6x + 12

y = -6x + 14

b). y = \(x^{2}+\frac{2}{x}\)

At x = \(\frac{1}{2}\)

y = \((\frac{1}{2})^2+\frac{2}{\frac{1}{2}}\)

y = \(\frac{1}{4}+4\)

y = \(\frac{17}{4}\)

Now we have to find the equation of a tangent at \((\frac{1}{2},\frac{17}{4})\)

y' = 2x - \(\frac{2}{x^{2} }\)

At x = \(\frac{1}{2}\)

y' = \(2(\frac{1}{2})-\frac{2}{(\frac{1}{2})^2}\)

y' = 1 - 8

y' = -7

Therefore, equation of the tangent at \((\frac{1}{2},\frac{17}{4})\) will be,

\(y-\frac{17}{4}=-7(x-\frac{1}{2})\)

y = -7x + \(\frac{7}{2}+\frac{17}{4}\)

y = -7x + \(\frac{31}{4}\)

Answer:

See below

Step-by-step explanation:

a) Slope of the lines

Slope = rise / run

b) Parallel line have a same slope

c) Since two pairs of parallel sides, the figure is a parallelogram

Answer:

-5-1

Step-by-step explanation:

In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:

Step 1: Plot the data on a scatterplot.

Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.

Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.

Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.

Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.

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\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

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The graph of the equation y = -0.5x + 12 will be a straight line

The equation y = -0.5x + 12 represents a linear function

Based on the slope -0.5 this means that as the value of x increases, the value of y will decrease.

Additionally, since the y-intercept is 12, the line will cross the y-axis at the point (0, 12).

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Answer:

the anser is d

Step-by-step explanation: because i did the math

The graph that shows the solution to the inequality –2 (2x + 3) < 26 is D Graph.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

The Set of such values is called solution set to the considered equation or inequality.

Thus The set of values of the variable involved in the inequality for which the considered inequality holds true is called the solution set for that inequality.

For a function y = f(x), there is y > f(x) on one side of the graph of the function y = f(x) in XY plane, and on other side there is y < f(x).

The graph that shows the solution to the inequality –2 (2x + 3) < 26 is D Graph.

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Answer:

x=37 and scalene or right triangle

Step-by-step explanation:

Answer:

37°

Step-by-step explanation:

Any Triangle his total angles = 180

then: 53 + 90 + X = 180

then: X= 180 - (90+53)

= 37