Multiply and simply: (4 - 3i) (2 + i)

An English teacher, gives pop quizzes to her students every marking period. (D. Fixed interval schedule of reinforcement.)

The other options listed are not applicable in this scenario:

A. Variable interval schedule of reinforcement: This schedule involves providing reinforcement after varying time intervals. Mrs. Jackson's quizzes occur at fixed intervals, not varying intervals.

B. Variable ratio schedule of reinforcement: This schedule involves providing reinforcement after a varying number of responses. The pop quizzes are not contingent on the number of responses from the students.

C. Fixed ratio schedule of reinforcement: This schedule involves providing reinforcement after a fixed number of responses. The pop quizzes are not contingent on the number of responses from the students.

D. Fixed interval schedule of reinforcement :fixed interval schedule of reinforcement involves providing reinforcement  at a fixed time interval. Mrs. Jackson gives the pop quizzes every marking period, which is a predetermined fixed interval of time. This schedule of reinforcement is characterized by a steady rate of response from the students, with an increase in responding closer to the time when the reinforcement is expected.

E. Interval ratio schedule of reinforcement: This is not a recognized schedule of reinforcement. The correct term would be fixed interval or variable interval schedule of reinforcement.

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Answer:

10.52

Step-by-step explanation

Answer:

C. 190.77

Step-by-step explanation: edge 2022

The required, total cost of the purchase is $190.77. Option C is correct.

The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.

Here,
To calculate the total cost of the purchase, we first need to calculate the amount of sales tax and add it to the original price.

Sales tax = 7.75% of $175 = 0.0775 x $175 = $13.56

Total cost of purchase = $175 + $13.56 = $188.56

If Susan charges the purchase to her credit card and pays it off after 30 days, she will be charged interest on the outstanding balance for those 30 days. The interest rate is 0.039% per day, which is equivalent to 1.17% per month (0.039% x 30).

The interest charged on the outstanding balance after 30 days will be:

Interest = $188.56 x 1.17% = $2.20

Therefore, the total cost of the purchase, including sales tax and credit card interest, will be,

Total cost = $188.56 + $2.20 = $190.76

Therefore, the total cost of the purchase is $190.77.

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The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825

Given that equation  \(\frac{16x+12}{2}=100\)  and asked to evaluate the value of x in the given equation

⇒ \(\frac{16x+12}{2}=100\)(given equation)

To solve the given equation, need to use the various mathematical  operations i.e division and subtraction)

⇒8x+6=100 ( using the operation division)

⇒8x=100-6 (using the operation subtraction)

⇒8x=94

⇒x=\(\frac{94}{8}\)(using the operation division)

⇒x=11.825

By using the mathematical  operations i.e division and subtraction the value of x came as 11.825

⇒Therefore, The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825

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Answer:

8 tomato plants per row

Step-by-step explanation:

Since you want to find how many she will have in each row, you would just have to divide.

So you would divide the total amount (56) by the number of rows (7) to find the amount.

56 ÷ 7 = 8

So this means there will be 8 tomato plants per row.

I hope this is okay-

Answer:

1.6

Step-by-step explanation:

1/   4/2+2^2

2*2=4+2=6

4/6=.6

1/.6=1.6

Answer: b.−24

Step-by-step explanation:

3x(-4)= -12

-12 x 2= -24

-24

Answer:

\(5x = - 1 - 1 = 5x \div 5 = - 2 \div 5 = 2 \div 5\)

The linearization of the function f(x) = 13/x + 2 at x = −1 is -13x - 26.

The function is f(x) = 13/(x + 2).

We have to determine the linearization of the function at x = -1.

L(x) = f(-1) + f'(-1)(x - (-1))

L(x) = f(-1) + f'(-1)(x + 1) ...(1)

Now we first determine the value of f(-1) and f'(-1).

To determine f(-1) we substitute the x = -1 in the function f(x).

f(-1) = 13/(-1 + 2)

f(-1) = 13/1

f(-1) = 13

To determine the value of f'(-1), we first differentiate the function f(x).

f'(x) = d/dx[13/(x + 2)]

After differentiating

f'(x) = -13/(x + 2)²

Now substitute x = -1

f(-1) = -13/(-1 + 2)²

f(-1) = -13/(1)²

f(-1) = -13

Now substitute the value of f(-1) and f'(-1) in equation 1

L(x) = -13 + (-13)(x + 1)

Simplify

L(x) = -13 - 13x - 13

L(x) = -13x - 26

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The complete question is:

Find the linearization of the function f(x) = 13/x + 2 at x = −1.

Here's the formula written in LaTeX code:

To find the volume of the solid formed by rotating the region bounded by the curves \(\(y = x^{2/3}\)\) , \(\(x = 0\)\) , and \(\(y = 1\)\) in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The volume of a solid formed by rotating a region bounded by two curves around the y-axis can be calculated using the formula:

\(\[V = 2\pi \int_{a}^{b} x \cdot h(x) \,dx,\]\)

where \(\(a\)\) and \(\(b\)\) are the limits of integration, \(\(x\)\) represents the variable along the x-axis, and \(\(h(x)\)\) represents the height of the cylinder at each value of \(\(x\).\)

In this case, the region is bounded by \(\(y = x^{2/3}\)\) , \(\(x = 0\)\) , and \(\(y = 1\)\) in the first quadrant. To find the limits of integration, we need to determine the values of \(\(x\)\) where the curves intersect.

Setting \(\(y = x^{2/3}\)\) and \(\(y = 1\)\) equal to each other, we can solve for \(\(x\)\):

\(\[x^{2/3} = 1.\]\)

Taking the cube of both sides, we get:

\(\[x^2 = 1.\]\)

So, \(\(x\)\) can take values from -1 to 1.

The height of the cylinder at each value of \(\(x\)\) is the difference between

the y-coordinate of the upper curve \((\(y = 1\))\) and the y-coordinate of the lower

curve \((\(y = x^{2/3}\)).\) Thus, \(\(h(x) = 1 - x^{2/3}\).\)

Now we can set up the integral:

\(\[V = 2\pi \int_{-1}^{1} x \cdot (1 - x^{2/3}) \,dx.\]\)

Integrating this expression with respect to \(\(x\)\) will give us the volume of the solid formed by rotating the given region about the y-axis.

Performing the integration, the final result will be the volume of the solid formed by rotating the region bounded by \(\(y = x^{2/3}\)\) , \(\(x = 0\)\) , \(\(y = 1\)\) in the first quadrant about the y-axis.

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Answer:

Answer is option a) 4/5

Here value of opposite side is 40

And the value of hypotenuse is 50

Step-by-step explanation:

\( \sin(C) = \frac{opposite \: side \: }{hypotenuse} \\ = \frac{40}{50} \\ = \frac{4}{5} \)

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

A

Step-by-step explanation:

The Y-intercept is -3.

The gradient is -3/4 since it goes down 3 every 4 tiles.

Answer:

\(y=-\frac{3}{4}x -3\)

Step-by-step explanation:

Hey there!

We can form this equation in slope-intercept form

This means, we have to find the slope and the y intercept of the line

First lets find the slope

The equation for slope is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

In order to find y and x, we need to take two points on the line

(-4, 0) and (0, -3)

x1   y1        x2  y2

Plug it in:

\(\frac{-3-0}{0-(-4)} \\\\\frac{-3}{4} \\\\-\frac{3}{4}\)

This means, the slope is -3/4

Now we have to find the y-intercept

The y-intercept is where the line intercepts the y-axis

The line intercepts the y-axis at the point (0, -3)

So now that we have the slope and the y-intercept, we can form the equation

\(y=-\frac{3}{4}x-3\)

The simplified expression is 2(x-2)(x-1) / (x+1).

To simplify the expression (2x-4)(x-1)/(x-3)(x+1)(x-3), we can cancel out common factors and simplify further.

First, let's cancel out common factors between the numerator and the denominator:

(2x-4)(x-1) / (x-3)(x+1)(x-3)

The numerator (2x-4) can be factored out to 2(x-2), and the denominator (x-3)(x-3) can be written as (x-3)^2:

2(x-2)(x-1) / (x-3)^2(x+1)

Now, we can check for any additional common factors that can be canceled out. The (x-3) term appears in both the numerator and the denominator, so we can cancel it out:

2(x-2)(x-1) / (x-3)(x+1)

After canceling out the common factor (x-3), we are left with:

2(x-2)(x-1) / (x+1)

Therefore, the simplified expression is 2(x-2)(x-1) / (x+1).

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Applying the trend in the table the population in 2023 is predicted to be

Exponential function  is a type of function that are of 3 main parts

Considering the given problem,  f(x) = 80(b)^x

the starting = 80

the base = b

the exponents = x

f(x) = 80(b)^x using the table again

132 = 80b

b = 132/80

b = 1.65

after 2023 the exponents will be

x = 2023 - 2016

x = 7

The predicted population

= 80(b)^x

= 80(1.65)^7

= 2898

the predicted population is 2898

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The probability that exactly one of the coins is a 10p piece is 1/2.

To find the probability that exactly one of the coins is a 10p piece, we can consider the possible outcomes.

There are two coins, and each coin can be either a 10p piece or a non-10p piece. Let's consider the four possible outcomes:

1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece.

2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece.

3. Both Erin's and Jack's coins are 10p pieces.

4. Both Erin's and Jack's coins are non-10p pieces.

Since the total amount of the two coins is less than 50p, we can eliminate the third possibility (both coins being 10p pieces).

Now, let's calculate the probability for each of the remaining possibilities:

1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece:

The probability of Erin having a 10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.

2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece:

This is the same as the previous case, so the probability is also 1/4.

3. Both Erin's and Jack's coins are non-10p pieces:

The probability of Erin having a non-10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.

Now, we sum up the probabilities of the two cases where exactly one of the coins is a 10p piece:

1/4 + 1/4 = 2/4 = 1/2.

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Answer:

2x+y>4 for all set of points which lies above the line 2x+y=4.

x+y<3 for all set of points which lies below the line x+y=3

solution is shaded part.

Step-by-step explanation:

The sampling method in which every nth member of the population is chosen to be a part of the process is known as systematic sampling. The value of n is calculated by dividing the total population by the sample size. It is a statistical method of selecting elements from a population.

Systematic sampling is one of the probability sampling techniques in which a sample is selected from a larger population. It is a form of non-random sampling that allows researchers to establish an ordered, systematic way of selecting subjects from a population.Systematic sampling is often used when there is a large population and a need for simplicity in selecting a sample. This method is advantageous in terms of its ease of implementation and efficient sampling.

A disadvantage of this method is the possibility of a skewed sample if the periodicity of the population is not taken into account.A systematic sample can be obtained by arranging the population elements in a particular order, for instance, alphabetical or chronological order, and then selecting every kth element, where k = population size / sample size. This method of sampling has been proven to be more efficient than other sampling methods when there is a need to cover a large population.

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Answer:

the picture is really blurry I can't read it

Answer:

Step-by-step explanation:

First, you have to use the law of cosines which is c² = a² + b² - 2abcosФ where Ф is the angle measure between sides a and b. So, just plug-in a = 10, b = 12, and Ф = 72 into the equation and you will get (I won't show all the calculations):

c = 13.0321

Then plug that into the area formula to get:

(0.5)(10)(12)(0.225496911)

Which is about:

13.53

a. The probability of exactly 4 successes is approximately 0.2967.

b. The probability of 5 or more successes is approximately 0.5332.

c. The probability of exactly 6 successes is approximately 0.1399.

d. The expected value of the random variable is 3.96

To solve these problems, we'll use the binomial probability formula:

P(X = k) = C(n, k)× \(p^{k}\)× \((1-p)^{(n-k)}\)

where:

P(X = k) is the probability of getting exactly k successes,

n is the sample size,

p is the probability of success,

C(n, k) is the number of combinations of n items taken k at a time.

Now let's solve each part of the problem:

a. The probability of exactly 4 successes:

P(X = 4) = C(6, 4) × (0.66)⁴ × (1 - 0.66)⁽⁶⁻⁴⁾

C(6, 4) = 6! / (4! × (6 - 4)!) = 6! / (4! × 2!) = (6 × 5) / (2 × 1) = 15

P(X = 4) = 15 × (0.66)⁴ × (0.34)² ≈ 0.2967 (rounded to four decimal places)

b. The probability of 5 or more successes:

P(X ≥ 5) = P(X = 5) + P(X = 6)

P(X = 5) = C(6, 5) × (0.66)⁵ × (1 - 0.66)⁽⁶⁻⁵⁾ = 6 × (0.66)⁵ × (0.34)¹ ≈ 0.3933

P(X = 6) = C(6, 6) × (0.66)⁶ × (1 - 0.66)⁽⁶⁻⁶⁾ = 1 × (0.66)⁶× (0.34)⁰ = 0.1399

P(X ≥ 5) = P(X = 5) + P(X = 6) = 0.3933 + 0.1399 ≈ 0.5332 (rounded to four decimal places)

c. The probability of exactly 6 successes:

P(X = 6) = C(6, 6) × (0.66)⁶ × (1 - 0.66)⁽⁶⁻⁶⁾ = 1 × (0.66)⁶ × (0.34)⁰= 0.1399

d. The expected value of the random variable:

The expected value (mean) of a binomial distribution is given by:

E(X) = n × p

E(X) = 6 × 0.66 = 3.96

Therefore:

a. The probability of exactly 4 successes is approximately 0.2967.

b. The probability of 5 or more successes is approximately 0.5332.

c. The probability of exactly 6 successes is approximately 0.1399.

d. The expected value of the random variable is 3.96

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Answer: 7

Step-by-step explanation:

Number of cases = total bottles ÷ bottles per case.

Number of cases = 150 ÷ 24.

Number of cases = 6.25

Because the store doesnt sell a quarter of a case so you'll have to buy seven.

The side length of the triangle (y) will be 45.88 units.

The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.

The angle of a triangle is 42° and its opposite side is 31. And the angle of a triangle is 85° and its opposite side is y. Then by the sine law, the equation is written as,

y / sin82° = 31 / sin42°

Simplify the equation, then the value of the variable 'y' is calculated as,

y / sin82° = 31 / sin42°

y = 31 x  sin82° / sin42°

y = 31 x 1.4799

y = 45.88 units

The side length of the triangle (y) will be 45.88 units.

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15%

Step-by-step explanation:

Absent= 6

Total student = 40

\( \frac{6}{40} \times 100 \\ \\ \frac{600}{40} = 15\%\)

Step-by-step explanation:

Hey there!!

We can simply do it.

Here,

Total students =40

Absent students = 6

Now,

\(absent\% = \frac{no.asent}{total \: student} \times 100\%\)

Keep all values.

\(absent\% = \frac{6}{40} \times 100\%\)

= 15%

Therefore, the absent percentage is 15%.

Hopeit helps...

Answer:

The second one the amount of monthly sales

Step-by-step explanation:

The 2000 is the total

Answer:

POL  and KLO

Step-by-step explanation:

Alternate interior angles are between the parallel lines and on opposite sides of the transversal

NOL and MLO

POL  and KLO

Answer:

KLO and POL

Step-by-step explanation:

ответ на картинке !!!!

Answer: 2.223 billion years old

Step-by-step explanation:

since 71 percent of the rock is remaining, the half life hasn't been reached yet. Hence, we know uranium isn't 4.5 billion years old yet. However, every-time 4.5 billions years pass, the rock get smaller by 2 times(a scale factor of 1/2). Hence, you can express that in a log equation:

\(\log_{2}(100/(percent of rock remaining))=\) Fraction of 4.5 billions years of time passed

\(\log_{2}(100/50)=1\)   ==> 100% of 4.5 billion years passed. When 50% of rock remains, 4.5 billion years have passed.

\(\log_{2}(100/100)\) =

\(\log_{2}(1)=0\)   ==> 0% of 4.5 billion years passed. When the rock hasn't decayed at all yet, that means that it is 0 years old.

\(\log_{2}(100/71)=0.494\)   ==> 49.4 % of 4.5 billion years passed

0.494*4.5 billion =2.223 billion years passed

2.223 billion years old

I cannot simplify these to where I have one answer.

4x+3(5y+x)

4x+15y+3x

7x+15y

7(a-3+4b)

7a-21+28b

13+x+8

21+x

x(6+x)-2x

6x+x-2x

7x-2x

5x

---

hope it helps