So you see...
The question in my math workbook is,

45 ÷ 3 = (30 + ___) ÷ 3
= 30 ÷ 3 + ___ ÷ 3
= 10 + 5
= 15

sorry my brain is broken right now- I have a feeling this problem is really easy to solve, but as I said my brain is broken lol

The function g(x) is written as g(x) = 1 (x - 0)^2 + 8, where, a = 1 , h = 0 , k = 8.

We are given;

f(x) = x^2

We need to find g(x) which is the translation 8 unit up of f(x) = x^2. The translation 8 unit up of f(x) means increasing the value of function or f(x) or y by 8.

That is,

g(x) = f(x) + 8

Substituting the value of f(x) in equation g(x) = f(x) + 8, we will get:

g(x) = f(x) + 8

g(x) = x^2 + 8

Now, converting the g(x) in the form of a(x - h) + k, where a, h, and k are integers:

g(x) = x^2 + 8

Substract 0 from x;

g(x) = (x - 0)^2 + 8

Mutliply (x - 0)^2 by 1;

g(x) = 1 (x - 0)^2 + 8

Where, a = 1 , h = 0 , k = 8.

Thus, the function g(x) is written as g(x) = 1 (x - 0)^2 + 8, where, a = 1 , h = 0 , k = 8.

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True, r² is a metric that expresses how much of a variable is accounted for by a basic linear regression model.

Calculate the sum of squares for the regression model (SSR):  SSR = Σ (predicted values - mean of the dependent variable)²

Calculate the sum of the squares of the residuals (SSE): SSE = Σ (observed values - predicted values)²

Calculate the coefficient of determination (r²): r² = SSR/ (SSR + SSE)

The coefficient of determination (r²) is then a percentage measure of the proportion of the variation explained by the simple linear regression model.

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The solution of the equation is as follows;

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

The equation can be solved as follows:

x - 10 = √9x

subtract x from both sides of the equation

x - x - 10  = √9x - x

-10 =  √9 x - x

-10 = 3x - x

-10 = 2x

divide both sides by 2

x = -10 / 2

x = -5

Therefore,

x = -5

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The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

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The equation of the line in function notation is  

\(y = mx - 3m - 2\)  

Step 1: y - (-2)

To write the equation of the line in function notation, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is a point on the line. In this case, the slope is given as "m," and the point (x1, y1) is (3, -2).

Substituting these values into the equation, we get:

y - (-2) = m(x - 3)

Simplifying the expression in the left-hand side, we get:

y + 2 = m(x - 3)

This is the equation of the line in point-slope form. To write it in function notation, we can solve for y:

y = mx - 3m - 2

This is the equation of the line in function notation. We can use this equation to find the y-value of the line for any given x-value. For example, if we want to find the y-value of the line when x = 5, we can substitute x = 5 into the equation and solve for y:

y = m(5) - 3m - 2 = 2m - 2

So when x = 5, the y-value of the line is 2m - 2.

Question: Andy wrote the equation of a line that has a slope of "m" and passes through the point (3, -2) in function notation. Write the equation of the line in function notation, showing the first step of your work.

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Answer:

Step-by-step explanation:

In this problem we are going find the natural logarithmic of the numbers involved and solve for x

\(ln65-Ln x= 39\\\)

from tables

\(4.17-ln x= 39\4.17-39= lnx\\-34.83=lnx\\\)

taking the exponents of both sides we have

\(e^-^3^4^.^8^3= x\\x= 7.47\)

Answer:

irrational numbers

Step-by-step explanation:

I hope I'm correct, sorry if I'm wrong

Answer: Odor

Step-by-step explanation: "Odor" is not a characteristic that helps to classify rocks. Rock classification is based on the study of physical and chemical properties such as texture, mineral composition, and color. Odor is not considered to be a significant factor in rock classification, as it can be subjective and may change over time. The main characteristics that are used to classify rocks are texture (the size, shape, and arrangement of mineral grains), mineral composition (the types and proportions of minerals present), and color (the hue, saturation, and brightness of the rock's surface). These characteristics help geologists to identify the type of rock, its origin, and how it formed.

Answer:

B: Odor

Step-by-step explanation:

The odor of a rock is not significant to the type of rock it is, but more of where the rock has been. So the odor is NOT a characteristic that helps to classify rocks.

bcx + acy + abz = abc is another form of the equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

bcx + acy + abz = abc is another form of the equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

To find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c, we can use the intercept form of the equation of a plane:

x/a + y/b + z/c = 1

This equation states that any point (x, y, z) on the plane will satisfy this equation.

To see why this is true, note that if x = a, then the left-hand side of the equation is 1, since y/b + z/c = 0 (since the numerator is 0).

Similarly, if y = b, then the left-hand side of the equation is 1, since x/a + z/c = 0.

Finally, if z = c, then the left-hand side of the equation is 1, since x/a + y/b = 0.

To simplify this equation, we can multiply both sides by the denominators a, b, and c:

hence, bcx + acy + abz = abc is another form of the equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

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!! for 2 and 3 these values are rounded

1) 693.5/18,250 = .038 x 100% = 3.8% commission

2) ~118.5%  --- divide tip/meal then x 100%

3) ~21.33%   divide sale price/over org., then subtract by 100%

The parametric equations for the line of intersection are:
x = 61 - 5t
y = 2t - 30
z = t

To find the parametric equations for the line of intersection of the given planes, we first need to solve the system of equations:

1. x + 2y + z = 1
2. 2x + 5y + 32 = 4

Step 1: Solve for x from equation 1:
x = 1 - 2y - z

Step 2: Substitute x in equation 2 with the expression found in step 1:
2(1 - 2y - z) + 5y + 32 = 4

Now we can use elimination to solve for one variable. Let's eliminate y by multiplying the first equation by 5 and subtracting it from the second equation:

Step 3: Simplify and solve for y:
2 - 4y - 2z + 5y + 32 = 4
y - 2z = -30

Step 4: Designate z as the parameter t:
z = t

Step 5: Substitute z with t in the expression for y:
y = 2t - 30

Step 6: Substitute z with t in the expression for x:
x = 1 - 2(2t - 30) - t
x = 1 - 4t + 60 - t
x = 61 - 5t

Now we have the parametric equations for the line of intersection:
x = 61 - 5t
y = 2t - 30
z = t

Note that we can choose any value of z for the parameter t, since z is unconstrained.

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Step-by-step explanation:

Your monthly payments with taxes and insurance included would be $2,903.71. This is calculated by taking the loan amount of $450,000 and multiplying it by the simple interest rate of 6.00%. The result is $27,000, which is then divided by the length of the loan, 30 years. This gives you

the principal and interest portion of your monthly payment, which is $2,033.33. To that, you add your yearly taxes of $2,000 and insurance of $1,500, divided by 12 months, to get an additional $416.67 and $125, respectively. Adding these two numbers together gives you your total monthly payment of $2,903.71.

Product is multiplication.

The opposite of 4 is -4

3 x -4 = -12

Answer: -12

Answer:

$21.28

Step-by-step explanation:

We Know

Dylan bought 3 identical shirts online for a total cost of $71.83

$7.99 for shipping

We have the equation:

71.83 = 3s + 7.99

63.84 = 3s

s = $21.28

So, each shirt cost $21.28

Answer:

Jun 25, 2018 — Reflection over the y -axis. Vertical stretch by a factor of two. Horizontal translation right two units. Vertical translation up two units. I hope this helps you .. ;]

Step-by-step explanation:

The correct answer is E, None of the above.

In a simple linear regression analysis, the following sums of squares are produced:

The proportion of the variation in Y that is explained by the variation in X can be obtained from the coefficient of determination R².

The coefficient of determination is a statistical measure that explains how much the change in the dependent variable can be attributed to the change in the independent variable(s).

Coefficient of determination R² gives the proportion of total variation in Y which is explained by X. This value always lies between 0 and 1.

According to the given options, the answer to the proportion of the variation in Y that is explained by the variation in X is none of the above. The coefficient of determination R² will tell the actual percentage of variation explained by X.

Therefore, the answer cannot be determined from the given data and options. The coefficient of determination (R²) ranges from 0 to 1, where 0 means no linear relationship and 1 means perfect linear relationship.

It explains the percentage of total variation in the dependent variable that can be explained by the independent variable(s).

Thus, the correct answer is E, None of the above.

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Answer:

a 90 degree clockwise rotation followed by a reflection across the x axis

Step-by-step explanation:

Answer:

36 divided by (6-5) = 36

Step-by-step explanation:

6-5 = 1

36 divided by 1 = 36

The critical t-score for estimating the population mean using a 99% confidence interval and a random sample of 35 individuals is approximately 2.733.

To estimate a population mean using a 99% confidence interval and a random sample of 35 individuals, you need to find the critical t-score.

Step 1: Determine the degrees of freedom. For a sample of 35 individuals, the degrees of freedom (df) = sample size - 1 = 35 - 1 = 34.

Step 2: Find the critical t-score using a t-table or an online calculator. For a 99% confidence interval and 34 degrees of freedom, the critical t-score is approximately 2.733.

Your answer: The critical t-score for estimating the population mean using a 99% confidence interval and a random sample of 35 individuals is approximately 2.733.

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Answer:

Gerry arrived at the bus station at 12:30 P.M.

Step-by-step explanation:

From noon and 5:00 P.M. there are 5 hours.

Gerry, Dale, and Pat arrived at the bus stop within that interval, which means the sum of the times elapsed between their arrival times must be 5.

4 out of the 5 hours elapsed since Gerry and Dale's arrivals. This means there is only one hour left for twice x.

If twice x is one hour, then x is half an hour. Thus, the complete sequence of arrivals is:

Gerry arrived at the bus station at 12:30 P.M.

Dale arrived at the bus station at 4:30 P.M.

Pat arrived at the bus station at 5:00 P.M.

Given:

One of the angle of a triangle is 104°.

The objective is to find the missing angle x.

If two sides of a triangle are equal, then it is an isosceles triangle.

In an isosceles triangle, the angle formed by the equal sides is also equal.

Then, the value of angle x can be calculated angle sum property of triangle.

Hence, option (A) is the correct answer.

Explanation

Step 1

Let x represents the number of hours

Let y represents the rate of the company

and

cost per hour = $3

so, the total cost per time is

cost per time= 3* number of hours

cost per time==3x

now, the company charges a $5 boarding rate

so, the rate is

I hope this helps you

Answer:

The given differential equation is:

12y" - 12y' + 30y = 0

To find the general solution, we first need to find the auxiliary equation. We assume a solution of the form:

y(t) = e^(rt)

where r is a constant. Differentiating this equation twice with respect to t, we get:

y'(t) = re^(rt)

y''(t) = r^2 e^(rt)

Substituting these into the differential equation, we get:

12r^2 e^(rt) - 12re^(rt) + 30e^(rt) = 0

Dividing both sides by e^(rt), we get:

12r^2 - 12r + 30 = 0

Simplifying this equation by dividing both sides by 6, we get:

2r^2 - 2r + 5 = 0

This is a quadratic equation with complex roots, which are given by the formula:

r = (2 ± sqrt(-4))/4 = (1 ± i√6)/2

Therefore, the general solution to the differential equation is:

y(t) = c1 e^((1+i√6)/2)t + c2 e^((1-i√6)/2)t

where c1 and c2 are constants determined by the initial conditions or boundary conditions of the problem.

Therefore , the solution of the given problem of equation comes out to be c1*e((1/2)*t)*cos((3/2)t) + c2e((1/2)*t)*sin((3/2)*t) = y(t).

The equation y=mx+b serves as the basis for a linear regression model. B is the slope, and m is the y-intercept. The above line is commonly referred to as the "mathematical problems with two variables," even though y and y are distinct components. Bivariate linear equations only contain two variables. The application areas of linear functions do not have clear-cut solutions.

Here,

For the specified differential equation, the auxiliary equation is:

=> 12r² - 12r + 30 = 0

When we multiply both parts by 6, we get:

=> 2r² - 2r + 5 = 0

Given that the discriminant is negative, the solutions of this quadratic equation are complicated:

=> b² - 4ac = (-2) ² - 4(2)(5) = -36

The following are the roots:

=> r = (2 ± √(-36))/(4) = (1 ± 3i)/2

The differential equation has the following general solution:

=> Y(t) = C1E + C2E (R1T) (r2t)

where c1 and c2 are arbitrary values and r1 and r2 are the auxiliary equation's roots.

When we replace the stems, we obtain:

=>  c1*e((1/2)*t)*cos((3/2)t) + c2e((1/2)*t)*sin((3/2)*t) = y(t).

As a result, the differential equation has the following general solution:

=> c1*e((1/2)*t)*cos((3/2)t) + c2e((1/2)*t)*sin((3/2)*t) = y(t).

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Answer: Infinitely many solutions when we graph this it comes out as one straight line also try using Desmos it helps with equations like this by graphing them for you! -Your friend, Bill Cipher

Step-by-step explanation: Have a great Valentines day <3

a) The set of functions {ex, e-x} on (-∞, ∞) is linearly dependent.

b) The set of functions {1 – x, 1 + x, 1 - 3x} on (-∞, ∞) is linearly independent.

a) To determine whether the set of functions {ex, e-x} is linearly dependent or independent, we need to consider whether there exist constants c1 and c2, not both zero, such that c1ex + c2e-x = 0 for all x.

For the set {ex, e-x}, we can rewrite the equation as c1ex = -c2e-x and divide both sides by ex (since ex is never zero). This gives us c1 = -c2e-2x. Since the right side depends on x but the left side is a constant, this equation cannot hold for all x unless both c1 and c2 are zero. Therefore, the set of functions {ex, e-x} is linearly dependent.

b) For the set {1 – x, 1 + x, 1 - 3x}, we need to determine whether there exist constants c1, c2, and c3, not all zero, such that c1(1 – x) + c2(1 + x) + c3(1 - 3x) = 0 for all x.

Assuming the equation holds for all x, we can expand it and simplify to obtain (c1 + c2 + c3) + (-c1 + c2 - 3c3)x = 0. Since this equation must hold for all x, both the coefficient of the constant term and the coefficient of x must be zero. This leads to the system of equations c1 + c2 + c3 = 0 and -c1 + c2 - 3c3 = 0.

Solving this system of equations, we find that c1 = c2 = c3 = 0 is the only solution. Therefore, the set of functions {1 – x, 1 + x, 1 - 3x} is linearly independent.

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Answer:

C The distance around the circle is the circumference

Step-by-step explanation:

For information:

A is the diameter

B is the radius

The required probability that at least five spots will be showing up on the die is 1/6.

A probability is a number that mirrors the opportunity or probability that a specific occasion will happen. Probabilities can be communicated as extents that reach from 0 to 1, and they can likewise be communicated as rates going from 0% to 100 percent.

Since the quantity of decisions or results is six each "roll" of the die on falls on either 1,2,3,4,5 or 6. That is, each roll has a 1/sixth possibility of a solitary number coming up as a result.

So, the probability that at least five spots will be showing up on the die = 1/6.

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