X/3 -12 = -23


solving 2 step equations
need help quickly please someone help me, I do seriously need the answer.

Answer: The average rate of change of the function in that interval is r = -1

Step-by-step explanation:

When we have a function f(x), the average rate of change in an interval:

a ≤ x ≤ b

Is calculated as:

\(rate = \frac{f(b) - f(a)}{b - a}\)

In this case, the function is:

y = f(x) = (1/2)*x^2 - 1

And the interval is:

-2 ≤ x ≤ 0​

Then the rate of change will be:

\(rate = \frac{f(0) - f(-2)}{0 -(-2)} = \frac{((1/2)*(0)^2 - 1) -((1/2)(-2)^2 - 1)}{2} = \frac{-2}{2} = -1\)

The average rate of change of that function in that interval is r = -1

The graph of the absolute function g(x) = -|x + 3| - 4 has vertex at (-3, -4) and touches the y -intercept at (0, -7)

The graph of an absolute value function is called an absolute value graph. The absolute value graph depicts the distance of a number from the origin. The graph of the absolute value function is symmetric about the y -axis. The graph of the absolute value function makes a right angle at the origin.

In this problem the function given is

g(x) = -|x + 3| - 4

To graph this function, we can use a graphing calculator which will enable us to plot all points accurately.

The graph touches the y -axis at (0, -7)

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Answer:

24

Step-by-step explanation:

The numerators are being multiplied by -2

Answer:

85%

Step-by-step explanation:

If they had a 15% chance out of 100% to win free movie tickets, just subtract the 15% from the 100% to get your answer. Hope it helps.

Concept

Circumference - The circumference of a circle is the length of the circle's boundary. If you cut a circle and straighten it, the length of the edge will be the length of the circumference. The formula for calculating perimeter is Circumference = 2πr

Where r is the radius of the circle

Area -  The area of ​​a circle is the area occupied by the circle in the two-dimensional plane. This is easily determined  using the formula

where r is the radius of the circle.

Given

We have been given that circle A of diameter 9 inches having circumference of 28.26 inches  and an area of 63.585 square inches. Circle B of diameter 5 inches having circumference of 15.70 inches, and the area of 19.625 square inches.

Find

We are asked to determine the value of pi by using circumference and area formula .

Solution

Part A :-

We will use the formula of the circumference of the circle which is given by

\(Circumference=2\pi r\)

For circle A , \(r=\frac{d}{2}=4.5\)and circumference = 28.26 inches

Putting these values in equation (1) ,

we get

\(28.26=2\pi 4.5\)

\(\pi =\frac{28.26}{9}\\ \pi =3.14\)

For circle B , \(r=\frac{d}{2} = 2.5\) and circumference = 15.70 inches

Putting these values in equation (1) , we get

\(15.70=2\pi 2.5\\\pi =\frac{15.70}{5\\} \\\pi = 3.14\)

Part B :-

We will use the formula of the area of the circle which is given by

\(Area=\pi r^{2}\)

For circle A , \(r=\frac{d}{2} = 4.5\)  and Area = 63.585 square inches

Putting these values in equation (2), we get

\(19.625=\pi (2.5)^{2} \\\pi =\frac{19.625}{6.25} \\\pi =3.14\)

Part C :-

The value of pi for both of the circle is same which is 3.14 by using circumference as well as area formula .

Therefore ,  the value of pi is constant which is equals to 3.14 .

Answer:

5/6

Step-by-step explanation:

Number of people in management majors = 10, number of people in world climate = 20.

Total number of people in class = Number of people in management majors + number of people in world climate = 10 + 20 = 30

Number of people with brown eyes = 10 / 2 + 20 / 2 = 5 + 10 = 15

Probability that a person chosen at random is a management major or has brown eyes = P(M or B)

P(M or B) = P(M) + P(B)

But probability of management major [P(m)] = Number of people in management majors / total number = 10 / 30 = 1/3

probability of brown eyes = Number of people with brown eyes / total number = 15 / 30 = 1/2

P(M or B) = P(M) + P(B) = 1/3 + 1/2 = 5/6

Answer:

19/18x+-5/2

I did this in class and we went over it as well :)

Step by step:

Distribute: 2x/3+-1/9x+1/2x+-5/2

2/3x+-1/9x+1/2x+-5/2

Combine Like Terms: (2/3x+-1/9x+1/2x)+(-5/2)

Answer: 19/18x+-5/2

Juliet was charged $18 for driving 120 miles.

Given,

The rent of car per day = $80

The charge for per miles driven = $0.15

Juliet was charged a total of $98 for the rental and mileage.

We have to find the total miles of driving;

Here,

Charge for miles driven = Total charge - Rent of car for a day

Charge for miles driven = 98 - 80

Charge for miles driven = $18

Now,

Total miles driven = Charge for miles driven / Charge for one mile

Total miles driven = 18/0.15

Total miles driven = 120

That is,

Juliet was charged $18 for 120 miles of driving.

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Answer:

Midpoint is 1 + 2i

Step-by-step explanation:

Given that endpoints are \(\displaystyle{4-3i}\) and \(\displaystyle{-2+7i}\). The definition of complex number is that \(\displaystyle{z = a+bi}\) where a is real part and b is imaginary part. In coordinate plane, the equation can be represented as a position vector with initial as origin point and final as (a,b).

So (a,b) in complex number represents the equation \(\displaystyle{z = a+bi}\). If we are given two complex equations:

\(\displaystyle{z = a+bi}\\\displaystyle{w = c+di}\)

Then we can rewrite both as in:

\(\displaystyle{z = (a,b)}\\\displaystyle{w = (c,d)}\)

From the property:

\(\displaystyle{(a,b) + (c,d) = (a+c, b+d)}\)

Since we are finding midpoint, we'd have to divide both components by 2. So our formula will be:

\(\displaystyle{M_{z+w}= \left(\dfrac{a+c}{2}, \dfrac{b+d}{2}\right)}\)

Determine that:

Therefore:

\(\displaystyle{M_{z+w}= \left(\dfrac{4+(-2)}{2}, \dfrac{-3+7}{2}\right)}\\\\\displaystyle{M_{z+w}= \left(\dfrac{4-2}{2}, \dfrac{4}{2}\right)}\\\\\displaystyle{M_{z+w}= \left(\dfrac{2}{2}, 2\right)}\\\\\displaystyle{M_{z+w}= \left(1,2\right)}\)

So our midpoint will be at (1,2) which then can be rewritten back to 1 + 2i through position vector.

The supplementary relationships with a checkmark are indicated by "G. Alternate interior angles formed by a transversal intersecting parallel lines" and "B. Corresponding angles formed by a transversal intersecting parallel lines."

A transversal is a line that intersects two other lines at separate points, forming eight angles. These eight angles can be classified into different types: corresponding angles, alternate angles, consecutive angles, and vertical angles. When two parallel lines are crossed by a transversal, the transversal makes the same angle with each parallel line.Supplementary angles are two angles whose measures add up to 180 degrees. The supplementary relationships with a checkmark are "G.

Alternate interior angles formed by a transversal intersecting parallel lines" and "B. Corresponding angles formed by a transversal intersecting parallel lines."The alternate interior angles are on opposite sides of the transversal and are formed when a transversal intersects two parallel lines. Each pair of alternate interior angles are supplementary angles and add up to 180 degrees. If two angles add up to 180 degrees, then they are supplementary angles.Corresponding angles are formed when a transversal intersects two parallel lines. Corresponding angles are in the same position relative to the two lines. For instance, angle 1 and angle 5 in the following diagram are corresponding angles. All pairs of corresponding angles are equal, and their total is 180 degrees. Thus, corresponding angles are supplementary angles.

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You have the following operation:

958 ÷ 10

To determine what is the missing number, calculate the given division:

95

10 | 958

- 90

58

-50

8

as you can notice, the missing number is 58 in the given procedure of the division 958 ÷ 10.

Hence, the asnwer is C. 58

Answer:

y=3x+10

Step-by-step explanation:

7-16=-9

-1-2=-3

-9/-3=3

m=3

The correct answer is\(y[n] = \alpha^n \cdot u[n] + \sum_{k=0}^{n-1} (\alpha^k \cdot \beta^{n-k} \cdot u[k])y[n] = \alpha^n \cdot (n+1)\)

To compute the convolution y[n] = x[n] * h[n] for the given signal pairs, we need to convolve the two signals using the convolution sum formula. Let's calculate the convolution for each case:

x[n] = α^n * u[n], h[n] = β^n * u[n] (Assume α ≠ β):

The convolution y[n] can be computed as:

\(y[n] = \sum_{k=-\infty}^{\infty} (x[k] \cdot h[n-k])= \sum_{k=-\infty}^{\infty} (\alpha^k \cdot u[k] \cdot \beta^{n-k} \cdot u[n-k])= \alpha^n \cdot \beta^0 \cdot u[n] + \sum_{k=0}^{n-1} (\alpha^k \cdot \beta^{n-k} \cdot u[k])= \alpha^n \cdot u[n] + \sum_{k=0}^{n-1} (\alpha^k \cdot \beta^{n-k} \cdot u[k])\)

x[n] = h[n] = α^n * u[n]:

The convolution y[n] can be computed as:

y[n] = ∑[k=-∞ to ∞] (x[k] * h[n-k])

= ∑[k=-∞ to ∞] (α^k * u[k] * α^(n-k) * u[n-k])

= α^n * ∑[k=-∞ to ∞] (u[k] * u[n-k])

= α^n * ∑[k=0 to n] (u[k] * u[n-k])

= α^n * (n+1)

Please note that the symbol "∑" represents the summation over the given range. The convolution result may vary depending on the specific values of α and β, as well as the range of summation.

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The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.

What is algebraic equation?

If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.

We are given an expression as

3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100

On multiplying, we get

= (3 × 100) + (5 × 10) + (8 × 1)

= 358

Hence, the digits missing from the equation are 100, 10 and 1 respectively.

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Random error is an unpredictable deviation from the true value or expected outcome in a measurement or experiment.

Random error refers to the unpredictable and uncontrollable variations that occur when making measurements or conducting experiments. It is a type of error that introduces inconsistencies and fluctuations in the data, leading to discrepancies between the observed values and the actual values.

Random errors can arise from various sources, such as equipment limitations, environmental factors, or human factors like imprecise readings or variations in technique.

Unlike systematic errors, which are consistent and biased in a particular direction, random errors are characterized by their lack of pattern or regularity. They are typically caused by factors that are difficult to quantify or account for, making it challenging to eliminate them entirely.

However, by taking repeated measurements and applying statistical analysis techniques, researchers can mitigate the impact of random errors and obtain more reliable and accurate results.

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Answer:

14b+2c-8

Step-by-step explanation:

Step-by-step explanation:

4b + 2(5b + c) - 8

= 4b + 10b + 2c - 8

= 14b + 2c - 8

= 2(7b + c - 4).

Answer:

Step-by-step explanation:

AB=-6×-5÷-1×3

AB= 30÷-3

Answer:

-3

Step-by-step explanation:

The additive inverse of a number means that the sum of the number, and it's additive inverse will always be zero. The additive inverse is found by simply negating a number or making it opposite.

Therefore, 3 + x = 0, 3 - 3 + x = 0 - 3, x = -3. (x represents it's additive inverse)

Just keep in mind that finding it's additive inverse is usually the best way to do it.

Here are some ways to negate a number:

________________________________

Answer:

Brand a price is less than Brand b.

Step-by-step explanation:

given-

two brands of canned dog food are on sale. assume that the cans are the same size. brand a costs $13.60 for eight cans and brand b costs $8.75 for five cans

first-brand a costs $13.60 for eight cans

second- brand b costs $8.75 for five cans

solve first

for 8 cans-->$13.60

then,1 can -->$13.60/8

               =>$1.7

in similar manner we solve for second

for 5 cans-->$8.75

then,1 can -->$8.75/5

               =>$1.75

Brand a price is less than Brand b.

Unit pricing helps consumers compare the prices of packaged goods when those goods aren't sold in equal quantities. It's unit pricing that allows, for example, a shopper to tell at a glance which is the better buy: a 20-pound bag of dog food that sells for $13.95 or a 15-pound bag that sells for $10.69.

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The decimal equivalent of the hex number 0x3F is 63.

To convert the hex number 0x3F to its decimal equivalent, we need to multiply each digit by the corresponding power of 16 and sum them up.

Starting from the rightmost digit, we have:

Now, we multiply each digit by the corresponding power of 16:

Finally, we sum up the results:

(15 * 1) + (3 * 16) = 15 + 48 = 63

Therefore, the decimal equivalent of the hex number 0x3F is 63.

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The absolute value inequality to determine the range of acceptable bead lengths is |B - 4.3| ≤ 0.2, and the range of acceptable lengths is 4.1 ≤ B ≤ 4.5 centimeters.

Given that the target length (L) of the ceramic bead is 4.3 centimeters with an acceptable allowance (T) of 0.2 centimeters, we can write the absolute value inequality as follows:

|B - 4.3| ≤ 0.2

This inequality states that the absolute difference between the bead length (B) and the target length (4.3) must be less than or equal to 0.2.

To determine the range of acceptable bead lengths, we can solve this inequality. Let's consider two cases:

Case 1: B - 4.3 ≤ 0.2

Solving for B:

B ≤ 4.5

Case 2: -(B - 4.3) ≤ 0.2

Solving for B:

-B + 4.3 ≤ 0.2

4.3 - 0.2 ≤ B

B ≥ 4.1

Combining both cases, the range of acceptable bead lengths is:

4.1 ≤ B ≤ 4.5

Therefore, the range of acceptable bead lengths is from 4.1 centimeters to 4.5 centimeters.

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Complete Question:

The length of a manufactured ceramic bead is 4.3 centimeters with an acceptable allowance of 0.2 centimeters. Beads that are too big or too small are discarded.

What absolute value inequality can be written to determine the range of acceptable bead lengths, and what is this range of lengths?

The statement that correctly describes a normal distribution is, the approximate percent of values lying within three standard deviation of the mean is 49.85%. approximately 68% of the values are greater than the mean value.

For the standard normal distribution, 68% of the observations lie within 1 standard deviation of the mean; 95% lie within two standard deviation of the mean; and 99.9% lie within 3 standard deviations of the mean.

The Standard Normal curve, shown here, has mean 0 and standard deviation 1. If a dataset follows a normal distribution, then about 68% of the observations will fall within of the mean , which in this case is with the interval (-1,1).

In normally distributed data, about 34% of the values lie between the mean and one standard deviation below the mean, and 34% between the mean and one standard deviation above the mean. In addition, 13.5% of the values lie between the first and second standard deviations above the mean.

The approximate percent of values lying within three standard deviations of the mean is 49.85%. A. Approximately 68% of the values lie within one standard deviation of the mean.

Therefore,

The statement that correctly describes a normal distribution is, the approximate percent of values lying within three standard deviation of the mean is 49.85%. approximately 68% of the values are greater than the mean value.

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The recursive rule for the number of acres at the beginning of the nth day in a forest fire that grows by 20% each day and is battled by firefighters who can put out 15 acres per day is given by: A(n) = 1.2 * A(n-1) - 15, where A(n) represents the number of acres at the beginning of the nth day. Using this rule, we can calculate that there are 89.6 acres burning at the beginning of the 8th day.

Explanation: To determine the recursive rule for the number of acres at the beginning of the nth day, we need to consider the given information. The forest fire initially covers 60 acres and grows by 20% each day. This means that the number of acres at the beginning of the next day (n+1) is 1.2 times the number of acres at the beginning of the current day (n). However, the firefighters are able to put out 15 acres of fire per day.

Therefore, to calculate A(n), we start with the initial number of acres, which is 60, and apply the recursive rule. A(n) = 1.2 * A(n-1) - 15. This formula takes into account the growth of the fire by 20% and the reduction of 15 acres due to the firefighters' efforts. By substituting the values, we can calculate the number of acres at the beginning of each day.

To find the number of acres burning at the 8th day, we substitute n = 8 into the recursive rule. A(8) = 1.2 * A(7) - 15. We need to determine A(7) first by substituting n = 7, and so on, until we reach the initial value A(1) = 60. Once we have calculated A(8), we can determine that there are 89.6 acres burning at the beginning of the 8th day

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The constant term of -2 shifts the entire graph downward by two units.

To create a table for the function f(x) = 2|x + 2| - 2 we need to choose some values of x and then substitute them into the function to find the corresponding values of f(x).

Here is a table with some values of x and f(x):

x f(x)

-4 10

-3 8

-2 6

-1 4

0 2

1 6

2 10

To graph the function, we can plot the points from the table and connect them with a smooth curve.

Since the function involves absolute value, the graph will have a sharp corner at x = -2.

F(x) is a V-shaped curve that opens upward and has its vertex at (-2,-2).

The absolute value function inside the parentheses ensures that the graph is reflected over the y-axis at x=-2.

Here is the graph of f(x) = 2|x + 2| - 2:

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\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

Answer: $2.10

Step-by-step explanation: 22-15.70= 6.3

This means you spent $6.30 on pretzels. Divide 6.30 by 3 to find out how much each pretzel costs. You would get 2.1 (which is written as $2.10 in money).

Answer:

Each adult patient today taking dose of 13 mg.

Step-by-step explanation:

Given - Ysaac, a doctor on duty at a local clinic, leaves the Panadol dose (mg) to nurse Elisa for all hospital patients. The nurse asks him what is the Dose ?, and the doctor answers that the previous dose used in total for 10 adult patients was solving the equation x2 + 50x - 2400 = 0. If the current dose has decreased by 10 milligrams for each patient.

To find - How much should the dose be for each adult patient today?

Solution -

Given that, the equation is -

x² + 50x - 2400 = 0

⇒x² + 80x - 30x - 2400 = 0

⇒x(x + 80) - 30(x + 80) = 0

⇒(x - 30)(x + 80) = 0

⇒x = 30, -80

But dose can not be negative

So, x = 30

∴ we get

The previous dose is 30 that is given to 10 patients

So,

1 patient is taking 3 mg previous dose

Now,

Given that,

If the current dose has decreased by 10 milligrams for each patient.

So,

The current dose = 3 mg + 10 mg

                             = 13 mg

⇒The current dose = 13 mg

∴ we get

Each adult patient today taking dose of 13 mg.

Answer:

A

Step-by-step explanation:

x² - 12x + 35

consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)

the factors are - 5 and - 7 , since

- 5 × - 7 = + 35 and - 5 - 7 = - 12 , then

x² - 12x + 35 = (x - 5)(x - 7) ← in factored form

Permutation helps us to know the number of ways an object can be arranged in a particular manner. The correct option is D.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

The example which is an example of permutation is Selecting a first-, second-, and third-place winner at baking.

Hence, the correct option is D.

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Answer: Full Moon

Step-by-step explanation: