Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written?

a) 2x + z + 5 - 6z^2
b) 2x- z-5 + 2z^2
c) -2 x - z- 5 + 2z^2
d) -2 x + z- 5 + 2z^2

The error of Fatima is: C. She applied the exponent -2 to "4(-2) instead of only to "(-2).

An exponent in any expression is the letter or number on the right of a base in an expression.

In the evaluated expression shown, the base that the exponent "-2" applies to is "m", and does not include 4. If we substitute the value of m = -2, into the evaluated expression, the base that the exponent "-2" applies to is "-2" and does not include "4".

Therefore, Fatima's mistake is: C. She applied the exponent -2 to "4(-2) instead of only to "(-2).

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Answer:

Your answer is -29

Step-by-step explanation:

Hope this helps : )

Answer:

90

Step-by-step explanation:

Answer:

42??

Cause 42-6=36

iqiwuwujdjdnkqkwkskksks

Answer:

42

Step-by-step explanation:

36+6=42

42-6=36

Answer:

I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)

Step-by-step explanation:

A vertical asymptote is a line on the x-axis where the graph of a function approaches infinitely close but does not actually reach. In this case, the vertical asymptote is x = 4.
In exploration 4.3.3, the vertical asymptote for question 2 is at x = -2. Let's see what is meant by a vertical asymptote.What is a vertical asymptote?A vertical asymptote is a line that a function approaches but never touches.

The curve gets arbitrarily close to the vertical line but never touches it. When the function approaches a vertical asymptote, the function approaches infinity or negative infinity.For instance, consider the function f(x) = 1/x. It has a vertical asymptote at x = 0. This is because the function's value becomes increasingly larger as x approaches 0 from the positive side, and the value of the function becomes increasingly smaller as x approaches 0 from the negative side.Therefore, if a curve goes on increasing or decreasing on both sides of a vertical line (called a vertical asymptote), the curve approaches that line but never touches it. This is the basic idea of a vertical asymptote.What is the vertical asymptote for question 2?The rational function f(x) = (x + 2) / [(x + 2)^2 - 4] is being studied in question 2 of exploration 4.3.3. It can be seen that (x + 2)^2 - 4 = (x + 2 - 2)(x + 2 + 2) = (x)(x + 4).Therefore, the denominator (x + 2)^2 - 4 can be written as (x)(x + 4).The vertical asymptotes of a rational function occur where the denominator equals zero. Since the denominator is (x)(x + 4), the vertical asymptotes occur where x = 0 or x = -4.However, x = 0 is not a vertical asymptote because there is a hole in the graph. So, the only vertical asymptote is at x = -2. This means that the curve approaches x = -2 but never touches it. Therefore, the vertical asymptote for question 2 in exploration 4.3.3 is x = -2.

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Answer:

i got dis the answer is 13

Step-by-step explanation:

so its going 31 to the right minus 8 so 23 to the right. for it to get to be 10 it would be 13

well, we can say that 1 hour is 100%, what is 2/5 hr off of it in percentage?

\(\begin{array}{ccll} hour&\%\\ \cline{1-2} 1 & 100\\ \frac{2}{5}& x \end{array} \implies \cfrac{1}{~~ \frac{2}{5}~~}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

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The number of elements in the sample space for this experiment is 969.

If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:

nCr = n! / [r!(n - r)!]

where n is the total number of items in the set and r is the number of items being chosen.

In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:

19C3 = 19! / [3!(19 - 3)!]

= 19! / (3!)(16!)

= 969

Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.

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From the graph, the feasible region from the system of linear inequalities is the triangular region bounded by the x-axis, the y-axis, the line x + y = 120, the line x = 60, and the line y = 90.

a. Let x be the amount of loam soil (in tons) sold, and y be the amount of peat soil (in tons) sold. The system of inequalities representing the constraints of the problem situation is:

x ≥ 0 (non-negative amount of loam soil)

y ≥ 0 (non-negative amount of peat soil)

x + y ≤ 120 (total amount of soil sold is at most 120 tons)

x ≤ 60 (maximum amount of loam soil available is 60 tons)

y ≤ 90 (maximum amount of peat soil available is 90 tons)

To graph these inequalities, we can plot the feasible region (the region that satisfies all the inequalities) in the x-y plane, as shown below;

The feasible region is the triangular region bounded by the x-axis, the y-axis, the line x + y = 120, the line x = 60, and the line y = 90.

b. The profit function P(x, y) for selling x tons of loam soil and y tons of peat soil is:

P(x, y) = 50x + 75y

To maximize profit, we need to find the values of x and y that satisfy the constraints of the problem situation and maximize the profit function P(x, y). One way to do this is to use the method of linear programming, which involves finding the corner points of the feasible region and evaluating the profit function at each corner point.

The corner points of the feasible region are (0, 0), (60, 0), (60, 60), (30, 90), and (0, 90). Evaluating the profit function at each corner point, we get:

P(0, 0) = 0

P(60, 0) = 3000

P(60, 60) = 9000

P(30, 90) = 6750

P(0, 90) = 6750

Therefore, the maximum profit is $9000, which occurs when the company sells 60 tons of loam soil and 60 tons of peat soil.

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Answer:

b

Just trust me

Step-by-step explanation:

As per latent heat, size of 11.61 BTUH is required to complete the whole action.

Let's assume the ice was at 32° F. So, 144 BTU/lb is required as latent heat. To melt ice and make it 32°F water required BTU is:

10 × 144 = 1440 BTU ( m× l = H where m is the mass and l is the latent heat )

To, convert 10°F ice to 32°F ice required heat is,

10×0.5035× ( 32° - 10°) = 110.77 BTU ( H = msΔt, m= mass, s = specific heat of ice, and Δ t = difference in temperature which is, 32° - 10° = 22°)

Now, to convert 32°F water to 212°F water required heat is:

10×1×180 = 1800 BTU ( SPECIFIC HEAT OF WATER IS 1 and Δt = 212-32 = 180°F )

To covert 212°F water to 212°F steam the required heat is,

10 × 970 = 9700

Now, to convert 212°F steam to 400°F steam, the required heat is ;

10 × .47 × 188 = 883.6 BTU ( The specific heat if steam is .47, Δt = 188°F )

Now total heat is, 883.6 BTU +9700 BTU + 1800 BTU + 110.77 BTU + 1440 BTU = 13934 BTU

Required power to convert it within 20 min. or 1200 sec is,

13934/1200 = 11.61 BTUH.

We can now say that, if 10 pounds of ice starts at ten degrees and is changed to steam at 400 degrees in twenty minutes, 11.61 BTUH is required.

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Answer:

X = 40°

Step-by-step explanation:

90° + 50° = 140°

180°

-140°

=40°

Answer:

BRAINLIEST??

Step-by-step explanation:

X=40°

3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

Answer: I believe the answer is M= -4

Step-by-step explanation:

As a result, 315 pupils attended the school play.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

The first equation in the system is given by the total number of attendees:

c + a = 330

The second equation is given by the number of children being 21 times the number of adults:

c = 21a

We can use substitution to find the value of a and then find the value of c. Substituting the second equation into the first equation, we get:

21a + a = 330

Combining the two terms on the left-hand side, we have:

22a = 330

Dividing both sides by 22, we have:

a = 15

So there were 15 adults in attendance at the school play. To find the number of children, we can use the second equation:

c = 21a = 21 * 15 = 315

So there were 315 children in attendance at the school play.

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The probability of seeing a shooting star during the first 15 minutes of the hour is approximately 19.95%

To solve this problem, we need to use conditional probability. We want to find the probability of seeing a shooting star during the first 15 minutes of the hour given that the chances of seeing a shooting star in any given hour are 80%.

First, we need to determine the probability of seeing a shooting star in the first 15 minutes of the hour. Since the probability is uniform for the entire hour, we can assume that the probability of seeing a shooting star in any given minute is 80% divided by 60 (the number of minutes in an hour), which is approximately 1.33%.

To find the probability of seeing a shooting star during the first 15 minutes of the hour, we need to add up the probabilities of seeing a shooting star in each of the 15 minutes. This can be calculated as follows:

P(seeing a shooting star in the first 15 minutes) = P(seeing a shooting star in minute 1) + P(seeing a shooting star in minute 2) + ... + P(seeing a shooting star in minute 15)
= 15 x 1.33%
= 19.95%

Therefore, the probability of seeing a shooting star during the first 15 minutes of the hour is approximately 19.95%. This means that if you go out star gazing again and the chances of seeing a shooting star are 80%, there is a 19.95% chance that you will see one during the first 15 minutes of the hour you are out.

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The set of data that provides the clearest difference between the two samples is option (c): One sample has M = 20 with s2 = 10 and the other has M = 30 with s2 = 10. The reason is that the standard deviation is higher in both samples compared to the other options, and the means of the two samples are also relatively far apart, making the difference between the two samples clearer. I

n options (a) and (b), the means are not far enough apart to provide a clear difference, and in option (d), while the means are farther apart than in option (b), the standard deviation is the same, which makes the difference less clear.

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1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.

Blood Alcohol Content (BAC) is a measure of alcohol in the blood as a percentage. It is calculated in grams per 100 mL of blood, so a BAC of 0.08 means your blood is 0.08% alcohol by volume.

Here, the BAC = 0.1%

Time span = 4 hours

We know,

BAC is a measure of alcohol in the blood as a percentage

Alcohol leaves the body at an average rate of 0.015 g/100mL/hour

Hence, 1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.

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The cash value of a lease with $1,001.00 payments at the beginning of every three months for 7 years, compounded at 6%, is approximately $40,480.40.

First, let's determine the total number of payments over the 7-year period. Since the payments are made every three months, there are 7 years * 4 quarters/year = 28 payments. Next, we'll calculate the interest rate per quarter. Since the annual interest rate is 6%, the quarterly interest rate will be 6% / 4 = 1.5%. Now, let's calculate the present value of each payment. We'll use the formula for the present value of an annuity:   PV = PMT * (1 - (1 + r)^(-n)) / r,

  where PV is the present value, PMT is the payment amount, r is the interest rate per period, and n is the total number of periods.

  Plugging in the values, we get:   PV = $1,001 * (1 - (1 + 0.015)^(-28)) / 0.015,

  which simplifies to:   PV = $1,001 * (1 - 0.40798) / 0.015 = $1,001 * 0.59202 / 0.015 = $40,480.40.

Therefore, the cash value of the lease requiring payments of $1,001.00 at the beginning of every three months for 7 years, with a 6% compounded interest rate, is approximately $40,480.40.

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a. 80% of 90 is the same as of 90 - False

b. 45% of 60 is 27 - True

c. 20% of 90 is the same as as of 90- True

d. 25 is 35% of 80 -False

a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.

b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.

c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.

Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.

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Step-by-step explanation:

LCM of 7 and 5 is 35

now will make the denominator equal,

10+7/35

So, Ram's work = 10/35

Shyam's work = 7/35

so

Ram > Shyam

hope it helps

The range of the interval where p-value 0.2514 lies is given by option a. 0.2001 to 5000.

To find the p-value for the test,

calculate the z-score and then use the z-table or a calculator to find the corresponding p-value.

The z-score is calculated using the formula,

z = (sample mean - population mean) / (population standard deviation / √(sample size))

here,

Sample mean (X) = 798 hours

Population mean (μ) = 800 hours

Population standard deviation (σ) = 20 hours

Sample size (n) = 36

Substituting these values into the formula, we have,

z = (798 - 800) / (20 /√(36))

= -2 / (20 / 6)

= -2 / 3

= -0.67

Now, the p-value associated with the z-score of -0.67  use a calculator.

Using a z-calculator,

The area to the left of -0.67 is approximately 0.2514.

However, since we are testing the hypothesis that the mean lifetime of light bulbs is less than 800 hours (one-tailed test),

The area to the left of -0.67.

The p-value is 0.2514.

Therefore, the interval contains the p-value is given by option a. 0.2001 to 5000

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The Malthusian law for population growth states that the rate of population growth is proportional to the current population size.

Mathematically, we can express this as:

dP/dt = rP

where P is the population size, t is time, and r is the growth rate.

Assuming a constant growth rate, we can integrate this equation to get:

ln(P) = rt + C

where C is an integration constant. We can solve for C using the initial population estimate:

ln(1200) = r(1980) + C

C = ln(1200) - r(1980)

Substituting the values of C and P from the second estimate (P=7500 in 2008), we get:

ln(7500) = r(2008) + ln(1200) - r(1980)

Solving for r, we get:

r = [ln(7500) - ln(1200)] / (2008 - 1980) = 0.0496

Using this value of r, we can predict the alligator population in 2020, which is 12 years after the second estimate (2008). We have:

ln(P) = rt + ln(7500)

ln(P) = 0.0496(12) + ln(7500) = 9.058

P = e^9.058 = 8656

Therefore, the estimated alligator population in the region in the year 2020 is 8656.

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The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) with the two numbers she rolls can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

To find the number of favorable outcomes, we need to identify the combinations of two numbers that will result in a two-digit number between 10 and 20. We can list these combinations as follows:

11, 12, 13, 14, 15, 16

Notice that we only have six favorable outcomes.

Now, let's determine the total number of possible outcomes when rolling two six-sided dice. Each die has six possible outcomes (1, 2, 3, 4, 5, 6), so the total number of outcomes is 6 multiplied by 6, which equals 36.

To calculate the probability, we divide the number of favorable outcomes (6) by the total number of possible outcomes (36):

Probability = Favorable outcomes / Total outcomes
Probability = 6 / 36
Probability = 1 / 6

Therefore, the probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

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The value of f(0) in the function is 0.

To find f(0), in the given function we can use the given equation:

ff(x) = f(x+1)

Substituting x = 0, we get:

ff(0) = f(1)

Since we are given that f(1) = 0, we have:

ff(0) = 0

Now we can substitute x = -1 into the original equation:

ff(x) = f(x+1)

to get:

ff(-1) = f(0)

Since we know that ff(x) = 0 (from ff(0) = 0), we have:

f(0) = ff(-1) = 0

Therefore, we have found that f(0) = 0.

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