Solve: -68.1 * 0.8
A) -54.48
B) 68.9
C) 54.48
D) -68.9

Answer:

5

Step-by-step explanation:

Input the given values of p and q into the expression and solve:

\(\frac{p+q}{3}\)

\(\frac{9+6}{3}\)

9 + 6 = 15

\(\frac{15}{3} = 5\)

The value of the expression is 5.

Answer:

by the way and the answer is c for yhe reasin because the of tje by theand i thaith

9514 1404 393

Answer:

  11/30 of a tank

Step-by-step explanation:

The amount used is the difference between the starting amount and the ending amount:

  7/10 -1/3 = 21/30 -10/30 = 11/30 . . . . of the tank

Answer:

150 units

Step-by-step explanation:

50 x 3 = 150

The equation of the plane is:2x - 3y + 4z = 2.

Let's consider a line with the equation:(-1, 1, 2) + t(3, 0, -3), 0 ≤ t ≤ 1. The direction vector of this line is (3, 0, -3).

We must first find the normal vector to the plane that is perpendicular to the given plane.

The equation of the given plane is 2 - 3 + 4 = 0, which means the normal vector is (2, -3, 4).

As the required plane is perpendicular to the given plane, its normal vector must be parallel to the given plane's normal vector.

Therefore, the normal vector to the required plane is (2, -3, 4).

We will use the point (-1, 1,2) on the line to find the equation of the plane. Now, we have a point (-1, 1,2) and a normal vector (2, -3, 4).

The equation of the plane is given by the formula: ax + by + cz = d Where a, b, c are the components of the normal vector (2, -3, 4), and x, y, z are the coordinates of any point (x, y, z) on the plane.

Then we have,2x - 3y + 4z = d.

Now, we must find the value of d by plugging in the coordinates of the point (-1, 1,2).

2(-1) - 3(1) + 4(2) = d

-2 - 3 + 8 = d

d = 2

Therefore, the equation of the plane is:2x - 3y + 4z = 2

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Answer:

y = 3x + 4

Step-by-step explanation:

Given:

Coordinates

(-3 , -5)

Slope m = 3

Find;

Equation of slope

Computation:

Given, x1 = -3 and y1 = -5

Equation of slope = y - y1 = m(x - x1)

Equation of slope = y - (-5) = 3(x + 3)

Equation of slope = y + 5 = 3x + 9

Equation of slope = y = 3x + 9 - 5

Equation of slope = y = 3x + 4

y = 3x + 4

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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She will need 5 3/5 cups of cranberry juice to make a punch for the school if Molly uses 1 2/5 quarts of lemonade.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

To make the recipe,

3/4 quart of lemonade and 3 cups of cranberry juice

The ratio of cranberry juice to a quart of lemonade

⇒ 3/(3/4) = 4

To make the same recipe with 1(2/5) quarts of lemonade the ratio of cranberry juice to a quart of lemonade must be maintained.

So,

4 = cranberry juice / 1(2/5)

(5/7) × cranberry juice = 4

Cranberry juice = 28/5 ⇒ 5 (3/5).

Hence "She will need 5 3/5 cups of cranberry juice to make a punch for the school if Molly uses 1 2/5 quarts of lemonade".

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Answer:

it is -5 if I'm not mistaking

\(ANSWER:\\0.00075\\HOPE\\IT\\HELPS!\\MARK\\BRAINLIEST\\IF\\IT\\DOES\\I\\WILL\\BE\\JOYFUL! :)\\I\\LOVE\\HELPING\\OTHERS!\)                             \(The\) \(exponent\) is negative; the number is small.

The step at which Marcus made his first mistake in solving this equation (2.5b = 5) is at calculating.

An expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities.

In order to determine the correct steps for solving the given expression, we would have to simplify the given mathematical equation by applying the division property of equality as follows:

Dividing both sides by 2.5, we have:

2.5b = 5

2.5b/2.5 = 5/2.5   ⇒ Setting up

b = 5/2.5

b = 2   ⇒  Calculating

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Complete Question:

Marcus tried to solve an equation.

2.5b = 5

2.5b/2.5 = 5/2.5   Setting up

b = 3                      Calculating

​

Where did Marcus make his first mistake?

Setting up

Calculating

The equation in slope intercept form is y = -4x + 24.

From the graph:

yellow points are (6,0) and (4,8).

slope intercept form is y = mx + c.

slope m = 8 - 0 / 4 - 6

= 8/-2

= -8/2

= -4

Substitute  m and (6,0)

y = mx + c

0 = -4*6 + c

c = 24

y = mx + c

y = -4x + 24.

Therefore The equation in slope intercept form is y = -4x + 24.

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Using the binomial distribution, it is found that there is a 0.2373 = 23.73% probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

The values of the parameters are given as follows:

n = 5, p = 0.25.

The probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park is P(X = 0), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373\)

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Answer: Hello there!

There are 3 ways Ruth can go from high school to the library, and 5 ways she can go from the library to her home.

The number of possible combinations is equal to the product between the options of each event (where the events are going from high school to the library and going from library to her house):

\(3\times5 = 15\)

Then there are 15 different routes that Ruth can take from high school to her home, where she makes a stop at the library.

(11.111%) chance to roll a 5 on the die

P(of not getting a 5)= 1-5/6

since, the probability 9f getting a 5 is 5/6 so not getting a 5 means that 1-5/6.

a) It is not possible for three functions to be linearly dependent while two of them are linearly independent. In linear algebra, if a set of functions is linearly dependent, it means that at least one of the functions can be expressed as a linear combination of the others.

Let's assume we have three functions f1(x), f2(x), and f3(x), and f1(x) and f2(x) are linearly independent. This implies that neither f1(x) nor f2(x) can be expressed as a linear combination of the other two functions. However, if all three functions were linearly dependent, then f3(x) would be expressible as a linear combination of f1(x) and f2(x). This contradicts the assumption that f1(x) and f2(x) are linearly independent.

Therefore, it is not possible for three functions to be linearly dependent while two of them are linearly independent. The minimum requirement for linear dependence is that at least one function can be expressed as a linear combination of the others.

In conclusion, the statement is false. Three functions cannot be linearly dependent if two of them are linearly independent.

b) False. A separable ordinary differential equation (ODE) cannot always be transformed into an exact ODE.

A separable ODE is a type of differential equation in which the variables can be separated so that each variable appears on only one side of the equation. For example, consider the separable ODE:

dy/dx = f(x)g(y)

To transform a separable ODE into an exact ODE, it is necessary for the partial derivatives with respect to x and y to satisfy the condition:

∂(M/N)/∂x = ∂(N/M)/∂y

where M and N are the functions defined in the ODE. If this condition is met, the ODE can be rewritten as an exact differential equation.

However, not all separable ODEs can satisfy this condition. For instance, consider the separable ODE:

dy/dx = x/y

If we attempt to transform this ODE into an exact ODE, we obtain:

∂(x/y)/∂x = ∂(y/x)/∂y

y/x² = -1/y²

This equation does not hold true for all values of x and y, indicating that the separable ODE cannot be transformed into an exact ODE.

In conclusion, the statement is false. Not all separable ODEs can be transformed into exact ODEs.

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Answer:

Here is the ans...hope it helps

Answer:

54°

Step-by-step explanation:

If GJ is an angle bisector that the 2 angles are congruent so their measures are equal

7x -9 = 2x +36

7x -2x = 36 +9

5x = 45

x= 45/5 = 9

measure of angle FGH = 7x-9 = 7*9 -9 = 54°

Answer:

Go to the bottom of that problem and click save for later

The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)=  (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

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Answer:

≅236 students

Step-by-step explanation:

The given function is

First, we make x = 0.

Second, we make g(x) = 0.

Third, we graph the points (0, 4) and (-16, 0).

At last, we draw the line through the points to get the line.

Answer:

what are you going to do with that?

Recall that to determine if a table represents a probability distribution, the sum of the probabilities must add up to 1, and all the probabilities have to be positive numbers less or equal to 1.

Now, notice that:

From the table, we notice that all the given probabilities are positive numbers between 0 and 1. Therefore, we can conclude that the given table represents a probability distribution.

Yes, it is a probability distribution.

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:

4,-6

Step-by-step explanation:

Answer:

X = Y

Step-by-step explanation:

\(\huge {\boxed {\sf A+B+C = 180^o }}\)

\(\huge {\boxed {\sf A+45^o+90^o = 180^o }}\)

\(\huge {\boxed {\sf A+135^o = 180^o }}\)

\(\huge {\boxed {\boxed {\bf A=45^o }}}\)

\(\huge {\boxed {\blue {\sf \cfrac{a}{sin (A) } = c }}}\)

So....

\(\huge {\text {$ \sf \cfrac{x}{sin \: 45^o } = \cfrac{x}{\frac{\sqrt{2} }{2} } = x \cdot \cfrac{2}{\sqrt{2} } = \cfrac{\sqrt{2} }{y } = 2x $}}\)

Remembering that:

\(\huge {\boxed {\sf \bf sin \: 45^o = \cfrac{a}{a\sqrt{5} } = \cfrac{1 }{\sqrt{2} } = \cfrac{\sqrt{2} }{2} }}\)

So:

\(\huge {\boxed {\sf \bf y = 2}}\)

Answer:

To find f(2), we simply substitute 2 for x in the function f(x)=5x+12 and simplify:

f(2) = 5(2) + 12

= 10 + 12

= 22

Therefore, f(2) = 22.

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

Answer:108

Step-by-step:180/100×6=180080180×6=

We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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