Rob borrows $15. 00 from his father, and then he borrows $3. 00 more. Drag numbers to write an equation using negative integers to represent Rob's debt and complete the sentence to show how much money Rob owes his father. Numbers may be used once, more than once, or not at all. 3 15–18–3–15 18 12–12

Answer:

I guess the answer is 0.4x+3.2=y (0.4 equals to 2/5 ) .

Answer:

Hello!

After reviewing the question you have provided, I came up with the correct answer:

C) 2

Step-by-step explanation:

Firstly:

As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.

When you round the two numbers you should come up with "3-1= ____".

This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.

So 3.2 rounds to 3

And 1.4 rounds to 1.

With the new equation you can then solve "3-1= 2"!

Hope this helps!

The probability of either die rolling the value 3 or both dice rolling even values is 5/9.

The probability of rolling a 3 on a single die is 1/6, so the probability of either die rolling a 3 is 2/6 or 1/3 (since there are two dice).

The probability of rolling an even number on a single die is 1/2 (since there are three even numbers and three odd numbers on a 6-sided die). The probability of rolling even values on both dice is the product of the probability of each die rolling an even value, which is (1/2) x (1/2) = 1/4.

To find the probability of either die rolling a 3 or both dice rolling even values, we need to subtract the probability of rolling both a 3 and an even value (since we would be double-counting this case). The only way to roll both a 3 and an even value is to roll two 6's, so the probability of this happening is 1/36.

Therefore, the probability of either die rolling 3 or both dice rolling even values is:

P(either die rolling 3 or both dice rolling even) = P(die 1 = 3 or die 2 = 3 or both dice even) - P(both dice = 6)

= (1/3 + 1/3) + (1/4 - 1/36)

= 5/9

Hence, the probability is 5/9.

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Answer:

  x = 2/3  or  point (x, y) = (2/3, 0)

Step-by-step explanation:

You want to know the x-intercept of the line described by 12x +11y = 8.

The x-intercept of a graph is the point where the y-value is zero. For an equation like this, it is easily found:

  12x +11(0) = 8 . . . . use 0 for y

  12x = 8 . . . . . . . . . simplify

  x = 8/12 = 2/3 . . . . . . divide by the coefficient of x and simplify

The x-intercept is x = 2/3, point (2/3, 0).

__

Additional comment

The y-intercept is similarly found.

  0 +11y = 8

  y = 8/11 . . . . y-intercept

Answer:

82 cm

Step-by-step explanation:

In rectangles diagonals are equal and bisect each other

AO = BO

5x + 1 = 4x + 9

Subtract 1 from  both sides

5x  = 4x + 9 -1

5x = 4x + 8

Subtract 4x from both the sides

5x - 4x = 8

x = 8

AO = 5x + 1

     = 5*8  +1

     = 40 + 1

AO= 41 cm

Diagonal = 2*41 = 82 cm

The probability of selecting at least one defective item at random is 0.3017.

The probability of an event occurring at least once will be calculated as the complement of the probability of the event never occurring. You can use exponents to multiply the number of events that occurred when calculating this amount.

Defect rate = P(defect) = 0.05

Probability is defined as the required outcome divided by the total number of possible outcomes.

P( at least 1 is defective) = 1 - P(none is defective)

P(not defective) = 1 - P(defective) = 1 - 0.05 = 0.95

P(none is defective) = P(non defective)^7

P(none defective) = 0.95× 0.95 × 0.95 × 0.95 × 0.95× 0.95× 0.95=0.6983

P(at least one is defective) = 1 - 0.6983 = 0.3017

Therefore, probability of at least one defective item is 0.3017.

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Answer:

first step is to put the (x-9)^2 into a standard form which is y=x^2−18x+81 then choose two integers larger than the x-value of the vertex point.next choose two integers smaller than the x-value of the vertex point. lastly substitute these values in place of "x" in the equation and solve for "y".

Step-by-step explanation:

x | y

7 | 4

8 | 1

9 | 0

10 | 1

11 | 4

4=(11-9)^2

1=(10-9)^2

0=(9-9)^2

1=(8-9)^2

4=(7-9)^2

Answer:

Identifying the problem

Answer:

-6

Step-by-step explanation:

5^-2=5^x+4

-2=x+4

-2-4=x

-6=x

Answer:

1. p = -9

2. 4y + 16.

Step-by-step explanation:

1.

First, let's simplify the right-hand side of the equation:

11 + 1/4 (12p+4) = 11 + 3p + 1

= 3p + 12

Next, let's simplify the left-hand side of the equation:

1/4p + 3/4 (p-8) = 1/4p + 3/4p - 6

= 1p - 6

Now we can set the left-hand side equal to the right-hand side:

3p + 12 = 1p - 6

Subtract 1p from both sides:

2p + 12 = -6

Subtract 12 from both sides:

2p = -18

Divide by 2:

p = -9

Therefore, the solution to the equation is p = -9.

2.

First, let's simplify the terms inside each of the parentheses:

5 + 1/3 (9y - 12) = 5 + 3y - 4

= 3y + 1

5/6 (y+ 18) = 5/6y + 15

Now we can combine the simplified terms:

3y + 1 + 5/6y + 15 + 1/6y

= 4y + 16

Therefore, the solution to the equation is 4y + 16.

Answer:

32

Step-by-step explanation:

f(x)= 3(x-2)² + 5

Let x = -1

f(-1)= 3(-1-2)² + 5

Parentheses first

f(-1) = 3(-3)^2 +5

Exponents

f(-1)= 3*9 + 5

Multiply

f(-1) = 27+5

Add

f(-1) = 32

Answer:

7- 3/2Z

thank for points and pick me brainliest pls!

The percentage error is 11.1%

Percentage error is simply the difference between the exact and the estimated values as a percentage

The given parameters are:

The percentage error is then calculated as:

\(\% E = \frac{50 - 45}{45} \times 100\%\)

Evaluate the difference

\(\% E = \frac{5}{45} \times 100\%\)

So, we have:

\(\% E = \frac{500}{45} \%\)

\(\% E = 11.1\%\)

Hence, the percentage error is 11.1%

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The length of the cable is 13.4 ft

Here, we want to find the height of the cable

By the given information in the question, we start with a diagrammatic representation of the information

We have this as follows;

As seen from above, what we have is a right-triangle, with the cable length representing the hypotenuse (the longest side)

Using Pythagoras' theorem, we can get the cable length

The square of the length of the hypotenuse is equal to the sum of the squares of the two other sides

Mathematically, we have this as follows (we are representing the length of thecable by c0

Thus, we have it that;

Using the empirical rule, we can estimate that approximately 97.5% of the students have GPAs that are greater than 1.66 at this university.

The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

To apply this rule to the given scenario, we first need to calculate how many standard deviations away from the mean a GPA of 1.66 is.

Z = (X - μ) / σ

Where X is the GPA in question, μ is the mean (2.56), and σ is the standard deviation (0.45).

Z = (1.66 - 2.56) / 0.45 = -2

This tells us that a GPA of 1.66 is 2 standard deviations below the mean.

Now, using the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Since a GPA of 1.66 is 2 standard deviations below the mean, we can conclude that only about 2.5% (half of the remaining 5%) of the students have a GPA lower than 1.66.

Therefore, the percentage of students who have GPAs that are greater than 1.66 would be approximately 97.5%.

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Answer: The answer is x ≥ -10

Step-by-step explanation:

The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.

Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.

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Answer:

$6.5 per bag

Step-by-step explanation:

The unit price is the total price divided by the weight

9.75/1.5 = 6.5

The correct answer is (D) If A is the given matrix, then the augmented matrix represents the equation Ax =0. The reduced echelon form of this matrix indicates that Ax =0 has only the trivial solution. Therefore, the columns of A form a linearly independent set.

A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics. In computer graphics, where they have been used to describe picture rotations and other transformations, matrices have vital applications as well.

Mathematically, assume that B = {v₁, v₂, v₃, ........} is the set of vectors. Then B will be linearly independent if the vector equation

y₁v₁ + y₂v₂ + y₃v₃ + ........ = 0 possesses the trivial solution such that

y₁ = y₂ = y₃ = ........ = 0.

Let A be a matrix, then columns of A will be linearly independent if the equation Ax = 0 possesses the trivial solution. In other words, The row space of matrix A is the span of its rows. The column space denoted by

C(A) is the span of A’s columns. The dimension of the row and column spaces is always the same, which is known as the rank of A.

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Answer:

9x + (6 + 9x) =12

Step-by-step explanation:

For a combined equation, you need to eliminate one of the variables. For this example I eliminated the y variable.

Lets look at this equation, (You can do this for either equation, I just picked this one):

-9x + y = 6

You have to separate the y variable from the rest. So you add -9x to both side to cancel out the -9x.

Resulting in:

y = 6 + 9x

Now that you have an equation for the y variable, use the substitution method to add your new equation to the other.

9x + y = 12, becomes: 9x + (6 + 9x) = 12

That is your combined equation for the system.

Answer:

the answer is D becuase it is the only one with a range of -18

Answer:

Step-by-step explanation: D

The measure of angle XYA from the given circle is 26 degree.

From the given figure, YX is a tangent to circle O at point X.

As measure of arc XA=104°, ∠XOA=104° and m∠XBA=1/2×104=52°

Further, as measure of arc XB=52° ,m∠XOB=52° and m∠BXY=1/2×52°=26°

So, m∠XYA=m∠XYB=m∠XBA−m∠BXY=52°−26°=26°

Therefore, the measure of angle XYA from the given circle is 26 degree.

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We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.

Given that the line passes through the point (-6,8) and has a slope of -5/3.

We are required to find the equation of the line whose description is given.

Equation is basically the relationship between two or more variables that are expressed in equal to form. It may be linear equation, quadratic equation or cubic equation. Slope intercept form in the equation be y=mx+c.

We have been given slope be -5/3.

y=mx+c--------------1

Put m=-5/3 in equation 1.

y=-5/3x+c------------2

Put (-6,8) in equation 2.

8=-5/3 *(-6)+c

8=-5*(-2)+c

8=10+c

c=-2

Use the value of c in equation 2.

y=-5/3x-2

Hence the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.

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The general solution to the given differential equation, in powers of x, is y = C1 for x = 2 and y = C2 for x = -5.

The recurrence relation is y = C1 for x = 2 and y = C2 for x = -5. The guaranteed radius of convergence for the solution is infinite, as it does not involve any series expansions.

To find the general solution of the given differential equation, we can rewrite it in terms of y and its derivatives. Let's start by rearranging the equation:

(x^2 - 10)y' + 2xy' = 0

Factor out the common factor of y' from both terms:

y' (x^2 - 10 + 2x) = 0

Since y' cannot be zero (otherwise it would be a trivial solution), we have:

(x^2 - 10 + 2x) = 0

Simplifying the equation:

x^2 + 2x - 10 = 0

Now, we can solve this quadratic equation for x using the quadratic formula or factoring:

x^2 + 2x - 10 = (x - 2)(x + 5) = 0

So, we have two solutions: x - 2 = 0 and x + 5 = 0, which give x = 2 and x = -5.

Now, we can find the general solution by considering these two cases separately:

Case 1: x = 2

Substituting x = 2 into the original differential equation:

(2^2 - 10)y' + 2(2)y' = 0

(-6)y' + 4y' = 0

-2y' = 0

y' = 0

Integrating y' with respect to x, we obtain:

y = C1

where C1 is an arbitrary constant.

Case 2: x = -5

Substituting x = -5 into the original differential equation:

((-5)^2 - 10)y' + 2((-5)y') = 0

(15)y' - 10y' = 0

5y' = 0

y' = 0

Integrating y' with respect to x, we obtain:

y = C2

where C2 is an arbitrary constant.

Therefore, the general solution to the given differential equation is:

y = C1 for x = 2 and y = C2 for x = -5

The recurrence relation is y = C1 for x = 2 and y = C2 for x = -5, as there are no derivatives involved in the equation.

The guaranteed radius of convergence for the solution is infinite, as the solution is not in the form of a power series and does not involve any series expansions.

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Answer:

3x+2

Step-by-step explanation:

khan told me that my explanation

The equation of the tangent plane to the given parametric surface at the specific point is -2x + 4z = 0  .

In the question ,

it is given that ,

the function is r(u,v) = u²i + 2usin(v)j + ucos(v)k ; u = 1, v = 0 .

Now,

According to the give function,

r(u,v) = (u² , 2usin(v) , ucos(v))

Then, solving it , We get ,

r(u,v) = (u² , 2usin(v) , ucos(v))

\(r_{u}\) = (u , 2sin(v) , cos(v))

\(r_{u}\) (1,0) = (2 , 0 , 1)

\(r_{v}\) = (0 , 2ucos(u) , -sin(v))

\(r_{v}\) (1,0) = (0 , 2 , 0)

So , the matrix become

\(\left[\begin{array}{ccc}i&j&k\\2&0&1\\0&2&0\end{array}\right]\)

On simplifying , we get

i(−2) −j(0) \(+\) k(4) = (−2 , 0 , 4)

r(2,0) = (2 , 0 , 1)

The  plane is

r = −2x \(+\) 4z

r(2,0,1) = −2(2) \(+\) 4(1) = d

−4 \(+\) 4 \(=\) d

d = 0

Therefore , the equation of tangent is -2x + 4z = 0 .

The given question is incomplete , the complete question is

Find an equation of the tangent plane to the given parametric surface at the specified point.  r(u,v) = u²i + 2usin(v)j + ucos(v)k ; u = 1, v = 0 .

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Answer:

2/3 X 12 =8

Step-by-step explanation:

2.

-----. X 12 =2 x 12= 24 Which is 24/3 =8

3

The number of ways to select 9 players for the starting lineup from a team of 15 players  is 4862 ways.

The number of ways to select 9 players for the starting lineup from a team of 15 players can be calculated using the formula for combinations, which is given by:

C(n,k) = n! / (k! (n-k)!)

Where n is the total number of items, k is the number of items being selected, ! means factorial, and C(n,k) represents the number of combinations of k items from n.

Using this formula, the number of ways to select 9 players from a team of 15 players is:

C(15,9) = 15! / (9! (15-9)!) = 15! / (9! 6!) = 4,862

So, there are 4,862 ways to select 9 players for the starting lineup from a team of 15 players.

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