10
Convert from Standard Form to Slope-Intercept Form *
(10 Points)
-4y + 2x = -20
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Answer:

d) 16 + 56

Step-by-step explanation:

The simplest way to get the sum is to distribute 8 into 2 and 7 which is the same thing as multiplying to the two numbers in the parentheses.  Your sum should be 16 + 56 when multiplied.

The series of 0s and 1s representing data or instructions is called binary code. It is the foundation of digital communication and computing systems. Each binary digit, or bit, can be thought of as a switch that is either off (0) or on (1), allowing for the representation of complex information.

Binary code is a system used to represent data or instructions using only two symbols: 0 and 1. It is the foundation of digital communication and computing systems. Each digit in binary code is called a bit, which is short for "binary digit." Bits can be thought of as switches that can be in one of two states: off (0) or on (1).

By arranging these bits in different patterns, we can represent and manipulate complex information. For example, in binary code, the letter "A" is represented as 01000001. This binary representation allows computers to process and store information using electronic circuits that can easily interpret and manipulate 0s and 1s.

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Answer:

  a.  $110,700

Step-by-step explanation:

You want to know the value of a $141,000 house after 15 years, if it declines in value 1.6% each year.

The value multiplier each year is ...

  1 - 1.6% = 1 -0.016 = 0.984

When the house value is multiplied by this factor 15 times, it becomes ...

  $141,000×0.984^15 ≈ $110,700

Russell's house is worth about $110,700.

Answer:

B. 75%

Step-by-step explanation:

If about a quarter ( 25% ) do like non-fiction, then we know that the rest do not prefer it ( 75% )

75 + 25 = 100

Answer:

STEM ___ LEAF

1 _______0_ 7 _ 9 _ 9

2_______0 _ 4 _ 4 _ 6

3_______0 _ 2 _ 5 _ 5

Step-by-step explanation:

Given the ordered version of the data:

10, 17, 19, 19, 20, 24, 24, 26, 30, 32, 35, 35

. The stem is the tens digit and leaf is the unit digit of each data.

STEM ___ LEAF

1 _______0_ 7 _ 9 _ 9

2_______0 _ 4 _ 4 _ 6

3_______0 _ 2 _ 5 _ 5

Since there isn't any option given, then the row could be any of row values above.

Answer:

x=13

Step-by-step explanation:

Move all terms that don't contain  x to the right side and solve.

Brainly plss

Answer:

x=13

Step-by-step explanation:

Answer:

(15-3x³) is the answer.

Step-by-step explanation:

2*15-2*3x³

which is 30-6x³.

Answer:

0,896

Step-by-step explanation:

Step-by-step explanation:

that means she spent 3months in Spain to learn Spanish while she spent 9months in colombia

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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In other words, everything but -30.

========================================================

Explanation:

Let's solve for x

\(-\frac{1}{5}x + 3 \le 7\\\\-\frac{1}{5}x \le 7-3\\\\-\frac{1}{5}x \le 4\\\\x \ge 4*(-5)\\\\x \ge -20\\\\\)

Note how the inequality sign flips when we multiply both sides by the negative number.

Since x can be -20 or larger, this means that the values -20,-10,0,10,20 are all solutions. Only -30 is a non-solution. It might help to draw out a number line to see which values work and don't work.

--------------------------------

An alternative method is to plug each value from the set {-30,-20,-10,0,10,20} into the original inequality and simplifying. If you get a true statement at the end, then the value is a solution.

I'll show an example with x = -30 and x = -20 to show a non-solution and a solution. I'll let you check the others.

So let's start with x = -30

\(-\frac{1}{5}x + 3 \le 7\\\\-\frac{1}{5}(-30) + 3 \le 7\\\\6 + 3 \le 7\\\\9 \le 7\\\\\)

The last statement is false because 9 is not 7 or smaller than 7. So that's why x = -30 is not a solution.

Now let's try x = -20

\(-\frac{1}{5}x + 3 \le 7\\\\-\frac{1}{5}(-20) + 3 \le 7\\\\4 + 3 \le 7\\\\7 \le 7\\\\\)

This is a true statement since any number is equal to itself.

You should find that x = -10, x = 0, x = 10, and x = 20 lead to true statements.

Answer:A

Step-by-step explanation:

the girl that said it first i stoled it

The solution to the equation Ax=b is:

x = [[2], [-3], [-1]]

y = [[8], [-4], [-2], [-26]]

We will first decompose matrix A into its LU factorization form before using LU factorization to solve the equation Ax=b: A = LU. After that, forward substitution will be used to solve Ly=b for y, and back substitution will be used to solve Ux=y.

Given:

LU Factorization: A = [[1, -3, -4], [2, -4, -2], [2, -6, -4], [0, 12, -36]] b = [[8, -20, -6]]

The following is the LU factorization of A for us:

Solve Ly=b: U = [1, -3, -4], [0, 6, 6], [0, 0, 4], [0, 0, 0]] L = [[1, 0, 0, 0], [2, 1, 0, 0], [0, 1, 0, 1]]

When L and y are added to the equation Ly=b, we get:

By simplifying the equation, we obtain: [[1, 0, 0, 0], [2, 1, 0, 0], [0, 1, 0, 1]] * y = [[8], [-20], [-6]].

Find Ux=y: y = [[8], [-4], [-2], [-26]]

We obtain: by substituting U, x, and y into the equation Ux=y:

By simplifying the equation, we obtain: [[1, -3, -4], [0, 6, 6], [0, 0, 0]] * x = [[8, -4], [-2], [-26]].

x = [[2], [-3], [-1]]] In a nutshell, the answer to the equation Ax=b is as follows:

x = [[2], [-3], [-1]]

y = [[8], [-4], [-2], [-26]]

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The temperature (t) needs to be greater than 60

So you would have t > 60

Answer:

t > 60

Explanation:

In order to answer this question we must determine two things: what two terms will be compared in the inequality and what symbol we will use to compare them. Let's start by finding, 'what two terms will be compared.'

Read the following quote from the problem...

"Forest fires are most likely to occur when the air temperature (t) is greater than 60°F."

Since the temperature (t) must be greater than sixty degrees to start a forest fire, these are the two terms that we will be comparing in the inequality.

Now, let's find out what symbol we will use to compare the terms.

Because the problem uses the phrase "greater than" to represent the comparison between the temperature of the air and an average of sixty degrees, the symbol we will be using in the inequality is the greater than sign, >.

Finally, use all the facts we have established to write the inequality.

· t = air temperature

· > = greater than

· 60 = max temp. before forest fire occurs

Therefore, the inequality for the solution is t > 60.

Answer:

m = -36/11

Step-by-step explanation:

Start with the equation: -m/-3 = −4 ⋅ ( − m — 3 )

2. Simplify the left side of the equation by canceling out the negatives: -m/-3 becomes m/3.

3. Simplify the right side of the equation by distributing the negative sign: −4 ⋅ ( − m — 3 ) becomes 4m + 12.

after simplification, we have: m/3 = 4m + 12.

Now, let's analyze the error in this step. The mistake occurs when distributing the negative sign to both terms inside the parentheses. The correct distribution should be:

−4 ⋅ ( − m — 3 ) = 4m + (-4)⋅(-3)

By multiplying -4 with -3, we get a positive value of 12. Therefore, the correct simplification should be:

−4 ⋅ ( − m — 3 ) = 4m + 12

solving the equation correctly:

Start with the corrected equation: m/3 = 4m + 12

To eliminate fractions, multiply both sides of the equation by 3: (m/3) * 3 = (4m + 12) * 3

This simplifies to: m = 12m + 36

Next, isolate the variable terms on one side of the equation. Subtract 12m from both sides: m - 12m = 12m + 36 - 12m

Simplifying further, we get: -11m = 36

Finally, solve for m by dividing both sides of the equation by -11: (-11m)/(-11) = 36/(-11)

This yields: m = -36/11

To determine how well Luke must score on exam B in order to do equivalently well as he did on exam A, we need to first standardize his score on exam A using z-scores.

A z-score represents the number of standard deviations a given data point is away from the mean. The formula for calculating z-scores is:

z = (x - μ) / σ

where x is the data point, μ is the mean, and σ is the standard deviation.

In this case, Luke's score on exam A has a z-score of:

z = (850 - 750) / 50 = 2

This means that his score on exam A is 2 standard deviations above the mean.

To do equivalently well on exam B, Luke needs to achieve a score that has the same z-score of 2. We can use the formula for z-scores again to determine what score he needs to achieve:

2 = (x - 38) / 5

Solving for x, we get:

x = 48

Therefore, Luke needs to score 48 on exam B in order to do equivalently well as he did on exam A.

It's important to note that we're assuming that the distributions of the two exams are both normal distributions. If this assumption is not valid, then our answer may not be accurate.

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If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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Answer: 5/18

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 1/18 use a fraction calculator

The expression (4c+a^(2))/(c) when a=4 and c=2, we substitute the given values for a and c into the expression and simplify it using the order of operations.

Evaluate the expression (4c + a^2)/c when a = 4 and c = 2, we substitute the given values into the expression. First, we calculate the value of a^2: a^2 = 4^2 = 16. Then, we substitute the values of a^2, c, and 4c into the expression: (4c + a^2)/c = (4 * 2 + 16)/2 = (8 + 16)/2 = 24/2 = 12. Therefore, when a = 4 and c = 2, the expression (4c + a^2)/c evaluates to 12.

First, substitute a=4 and c=2 into the expression:

(4(2)+4^(2))/(2)

Next, simplify using the order of operations:

(8+16)/2

= 24/2

= 12

Therefore, the value of the expression (4c+a^(2))/(c) when a=4 and c=2 is 12.

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The number of miles that a signal sent from Station 1 to the satellite and then to Station 2 will have to travel is; 48135 miles

Let us first find the distance from Station 1 to the satellite:

Using trigonometric ratio, we have;

tan 8.7 = length of longest leg/length of shortest leg

Thus;

tan 8.7 =  3963/length of longest leg

Length of longest leg = 3963/tan8.7°

Length of longest leg = 3963/0.15302150298

Length of longest leg = 25,898 miles

Distance from Station 2 to satellite:

Using trigonometric ratio again, we have;

sin 8.7 = length of longest leg/ length of hypotenuse

sin  8.7 =  3963/length of hypotenuse

Length of hypotenuse =3963/ sin 8.7

Length of hypotenuse =3963/0.1526082024

Length of hypotenuse = 26, 200 miles

Thus, the difference is;

26200 - 3,963 = 22237 miles

Total distance will calculated as;

25898 miles  + 22237 miles = 48135 miles

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The complete question is:

A satellite orbiting the earth uses radar to communicate with two control stations on the earth's surface. The satellite's orbit maintains a 10-degree angle of separation between the two stations, as shown in the picture below. Knowing that the earth's radius is 3,963 miles.

How many miles will a signal sent from Station 1 to the satellite and then to Station 2 have to travel?

The first four terms of an arithmetic sequence are 5, 9, 13, 17 and the nth term formula of this sequence is 4n+1.

To find the expression for the (n-1)th term, we need to substitute (n-1) into the nth term formula.

So, the nth term formula is 4n+1.

Substituting (n-1) for n, we get:

4(n-1)+1 = 4n-3

Therefore, the expression for the (n-1)th term of an arithmetic sequence is 4n-3.

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Answer:I would say that the answer is 700 is the answer is incorrect my apologies.

Step-by-step explanation: Ms.Li spent $840 on vacation, She spent 2/3 of the amount on a train ticket and 1/2 of the remaining amount on food. How much did she spend on ticket and food altogether= 840  2/3 = 560

840-560 = 280

half of 280 = 140

560+140 = 700

Check the picture below.

\(x\sqrt{3}=7\implies x=\cfrac{7}{\sqrt{3}}\implies x=\cfrac{7}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies x=\cfrac{7\sqrt{3}}{3}\)

Answer:

x = 4.04

Step-by-step explanation:

\(tan30^{0}=\frac{x}{7}\)

\(x=7tan30^{0}\)

\(x=4.04\)

Hope this helps.

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Explanation:

The notation <-5,2> is the same as writing the translation rule \((x,y) \to (x-5,y+2)\)

It says: move 5 units to the left and 2 units up

The point (6,2) moves to (1,2) when moving five units to the left. Then it ultimately arrives at (1, 4) after moving 2 units up. You could move 2 units up first and then 5 units to the left later on, and you'd still arrive at (1, 4). In this case, the order doesn't matter (some combinations of transformations this won't be the case and order will matter).

---------

Or you could write out the steps like so

\((x,y) \to (x-5, y+2)\\\\(6,2) \to (6-5, 2+2)\\\\(6,2) \to (1, 4)\\\\\)

We see that (6,2) moves to (1, 4)

The table representing the relationship between hours of lawn care and the amount of money the company charges is:

8 $220

10 $275

12 $330

14 $385.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) symbol on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS (left hand side equals right hand side) is the most widely accepted theorem.

Let x be the charge of lawn care for 1 hour.

Given, charge for 4 hours of lawn care =$110

So, x= Amount charged/ Hours of lawn care

x=110/4

x=27.5

Now, the company charges $27.5 for 1 hour of lawn care.

So now we can find the amount charged by the company for

"y" no. of hours by using the equation. x × y = z

Here x, y and z are variables, where x is the charge of lawn care for 1 hour. y is the number of hours of lawn care and z is the total amount

charged by the company.

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The number of minutes which contains 9 five- minute segments as required in the task content is; 45 minutes.

It follows from the task content that there are 9 five minutes segments in how many minutes.

The question posed in the task content can be interpreted as determining the total number of minutes in 9 five minutes segments.

On this note, it can be evaluated as follows;

9 × 5 minutes

= 45 minutes.

On this note, it can be concluded that the number of minutes which contains 9 five minutes segments is; 45 minutes.

The blank in the task content can therefore be filled with; 45 minutes.

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The frog needs 10 leaps to escape the well

Polya's four-step problem-solving strategy is as follows:

Step 1: Understand the problem.

We are given that a frog is at the bottom of a 19-foot well. Each time the frog leaps, it moves up 3 feet. If the frog has not reached the top of the well, it slides back 1 foot before it is ready to make another leap. We are asked to find out how many leaps the frog needs to escape the well.

Step 2: Devise a plan.

To solve this problem, we need to determine how many leaps the frog needs to reach the top of the well. We can use a table to keep track of the frog's progress. Each row of the table represents a leap, and each column represents the frog's position after each leap.

Step 3: Carry out the plan.

Table:

According to the table inserted above, the frog needs 10 leaps to escape the well.

Step 4: Evaluate the solution.

We can verify our answer by checking the last row of the table. After the 10th leap, the frog reaches a position of 21 feet, which is above the top of the well. Therefore, the frog has escaped the well in 10 leaps.

Therefore, the frog needs 10 leaps to escape the well.

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Answer:

yes

Step-by-step explanation:

Answer:

?

Step-by-step explanation: