what is
$1,000,000 x 1/3=

Answer:

42% can round to 40%, and 78 can round to 80. 40% of 80 is 32, so 42% of 78 should be about 32. 45 is much greater than 32, so the answer is not reasonable.

Step-by-step explanation:

Answer:

32 Bulldogs

Step-by-step explanation:

32 Bulldogs

Answer:

Mistake was subtracting x rather than adding x in the first step

The true answer is x = - 4

Step-by-step explanation:

Lets first solve the equation so we can compare to identify where the mistake is.

6 - x = 5x + 30

==> add x to both sides

6 = 6x + 30

==> subtract 30 from both sides

-24 = 6x

==> divide both sides by 6

-4 = x is the correct answer.

After comparing our work with their work, the mistake seems to be made in the first step. They subtracted x from both sides rather than adding x to both sides. This is wrong because the inverse of subtraction is addition.

The number of three-letter code can be formed using 12 Greek alphabets is 1320.

For the given question.

There are 12 Greek alphabet used for making the three-letter code with out repetition.

You have 12 symbols from which to choose for the first letter, 11 for the second (because you're already using one), and 10 for the third.

Using the permutation;

Number of code formed = 12×11×10

Number of code formed = 1320.

Thus, the number of three-letter code can be formed using 12 Greek alphabets is 1320.

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Answer:

46,44.6,40,50

Step-by-step explanation:

230/5=46

223/5=44.6

200/5=40

250/5=50

Answer:

Step-by-step explanation:

A simple way to calculate the distance between numbers on a number line is to count every number between them. A faster way is to find the distance by taking the absolute value of the difference of those numbers. Absolute value of a number on a number line is its distance from 0 on the number line .

Answer:

The exact length of the third side would be 9.

Step-by-step explanation:

To find the length of the triangle, just add the height (6) and the base (3) which equals 9.

The expected population size be after two generations which has a current size of 150 and λ of 1.2 is 216.

Nt = N₀ × λ^t

Nt = Population size at generation t

N₀ = Current population size

t = Number of generations

λ = Finite rate of increase

λ = 1.2

N₀ = 150

Nt = 150 × 1.2²

Nt = 150 × 1.44

Nt = 216

Population size is defined as the number of individuals present in a designated region. Finite rate of increase is the ratio of population size from increase from one year to the next.

Therefore, the expected population size be after two generations is 216

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We need to check if lines ℓ and k are parallel. For two lines to be parallel, they must have the same slope and different y-intercepts.Let's compare the given lines:Line ℓ: y = 34x + 6Slope of line ℓ = 34Line k: y = 34x - 7Slope of line k = 34We see that the slope of lines ℓ and k is the same (34), which means that they could be parallel.

However, we still need to check if they have different y-intercepts. Line ℓ: y = 34x + 6 has a y-intercept of 6.Line k: y = 34x - 7 has a y-intercept of -7.So, lines ℓ and k have different y-intercepts, which means they are not parallel. Therefore, the correct answer is b) No.In slope-intercept form, the equation of a line is y = mx + b, where m is the slope of the line and b is its y-intercept. In this case, both lines have the same slope of 34 (the coefficient of x). The y-intercepts are different (+6 for line l and -7 for line k). Thus, the lines are not parallel.

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The answer is option a) Yes. Lines ℓ and k are parallel to each other.

The two distinct lines defined by the following two equations in slope-intercept form are:

Line ℓ: y = 34x + 6

Line k: y = 34x - 7

To determine if the lines are parallel, we need to compare their slopes since two non-vertical lines are parallel if and only if their slopes are equal.

Both lines are in slope-intercept form, so we can immediately read off their slopes:

Line ℓ has a slope of 34, and line k has a slope of 34.

Both the lines ℓ and k have the same slope of 34.

Hence, the answer is option a) Yes. Lines ℓ and k are parallel to each other.

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The equation -2x=3/8 is not a literal equation.

A literal equation can be defined as an equation which primarily of letters.

It is an equation  made up of several variables or letters.

Examples of literal equations are;

We can see from the examples shown that the equations or formulas have several variables or letters that could be written in terms of other variables.

Given the equation;

-2x=3/8

We can see that there is only one variable to be worked out and hence, is not a literal equation.

Thus, the equation -2x=3/8 is not a literal equation.

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Answer:

I believe the answer is 3

Step-by-step explanation:

because NO and KL are parallel, they have the same length which is 3 as given in the question description. We also know that KL and NM have the same length. Therefore, NM is also 3.

If 1/5 of Joanna's monthly savings is $55 the equation of her savings is

The solution to the equation is $275

information from the question include

Joanna saves $55 each month from her part-time job

She saves 1/5 of her earnings

let x represent the Joanna's earnings

The equation of Joanna savings is represented in the form

1/5 of x = 55

This equation deals with multiplication and the term 'of' as used in math represents multiplication

Hence 1/5 of x = 1 / 5 * x = x/5

x/5 = 55

multiplying both sides by 5

x = 275

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The production function m=min{s,l}, where s represents manicure supplies and l represents labor hours, is not homothetic.

To determine if a production function is homothetic, we need to examine whether scaling the inputs by a common factor affects the output in a consistent way. In this case, the production function m=min{s,l} implies that the quantity of manicures produced is determined by the minimum of the supplies and labor hours.

Suppose we scale the inputs by a common factor k>0. If s and l are multiplied by k, the new inputs become ks and kl respectively. Now, let's consider the case where s>l initially. The production function will be m=min{ks,kl}=kl, as ks is larger than kl. However, if we scale both inputs by k, the new production function will be

\(m = min\{k^2s,k^2l\}=k^2l\). Since \(k^2l\) is not equal to kl, the production function is not homogeneous of degree one and therefore not homothetic.

In conclusion, the production function m=min{s,l} is not homothetic because scaling the inputs by a common factor does not result in a consistent scaling of the output.

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Considering the situation given, it is found that:

At the null hypothesis, we test if they average the same amount of trouble hours as last year, that is, of 2000 trouble hours, thus:

\(H_0: \mu = 2000\)

At the alternative hypothesis, we test if this amount has increased, that is:

\(H_1: \mu > 2000\)

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Answer:-6

Step-by-step explanation:

18=9x(n+8) so if "n" = -7 then -6+8 is 2, and 2x9 is 18

Answer:

  y = (4 -x)e^-2

Step-by-step explanation:

You want an equation of the tangent line to the graph of f(x) = xe^−x at its inflection point.

The inflection point on a curve is the point where the second derivative is zero, where the curve changes from being concave downward to concave upward, or vice versa.

We can use the product rule to differentiate f(x):

  (uv)' = u'v +uv'

  f'(x) = 1·e^-x +x·(-1)(e^-x) = (e^-x)(1 -x)

Then the second derivative is ...

  f''(x) = (-e^-x)(1 -x) +(e^-x)(-1) = (e^-x)(x -2)

The second derivative is zero where one of its factors is zero. e^-x is never zero, so we have ...

  (x -2) = 0   ⇒   x = 2

The point of inflection occurs at x = 2.

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For this problem, we have ...

  m = f'(2) = (e^-2)(1 -(2)) = -e^-2

  (h, k) = (2, f(2)) = (2, 2e^-2)

So, the equation of the tangent line is ...

  y -2e^-2 = -e^-2(x -2)

In slope-intercept form, this is ...

  y = (-e^-2)x +4e^-2

__

Additional comment

We can rearrange the equation to ...

  y = (4 -x)e^-2

Usually a tangent line touches the graph, but does not cross it. The tangent at the point of inflection necessarily crosses the graph.

Answer:

The actual pressure is 36.50

Step-by-step explanation:

Given that:

Tire pressure reading = 8% higher

Reading = 39.42

As 100% will be the actual reading.

New reading = (100+8)% = 108%

Let,

x be the actual pressure of the tire

108% of x = 39.42

\(\frac{108}{100}x=39.42\\1.08x = 39.42\)

Dividing both sides by 1.08

\(\frac{1.08x}{1.08}=\frac{39.42}{1.08}\\x=36.50\)

Hence,

The actual pressure is 36.50

The solution to the system of equations is x = 8/3 and y = 41/43.

To find the solution for the given system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:

Given equations:

3x + 2y = 22 ---(1)

-x + 15y = 21 ---(2)

To eliminate one variable, we can multiply equation (2) by 3 and equation (1) by -1, then add the resulting equations:

-3x + 45y = 63 ---(3) (multiplying equation (2) by 3)

-3x - 2y = -22 ---(4) (multiplying equation (1) by -1)

Adding equations (3) and (4) eliminates the x variable:

43y = 41

Dividing both sides by 43 gives us:

y = 41/43

Now we can substitute this value of y into either equation (1) or (2). Let's use equation (1):

3x + 2(41/43) = 22

Multiplying both sides by 43 to eliminate the fraction:

129x + 82 = 946

Subtracting 82 from both sides:

129x = 864

Dividing both sides by 129:

x = 864/129

Simplifying:

x = 8/3

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Answer:

y = 3x - 3

Step-by-step explanation:

y = mx + b

m = slope

slope = y2 - y1/x2 - x1

slope = 6 - 3/3 - 2

slope = 3/1

slope = 3

y = 3x + b

b = y-intercept

y-intercept is y when x = 0

rise over run

If slope = 3/1, then subtract 3 from y and 1 from x until x = 0

(2, 3) = 3/2

3 - 3/2 - 1 = 0/1 = (1, 0)

0 - 3/1- 1 = -3/0 = (0, -3)

x = 0

y-intercept = -3

y = 3x + - 3

negative + positive = negative

y = 3x - 3

The fact that black youths are tried as adults more frequently than other races is a statistic. However, without further information such as sample size and significance level, it is difficult to determine the contribution to the test statistic and the p-value.

A larger sample size could potentially increase the test statistic and decrease the p-value, indicating a stronger relationship between race and being tried as an adult. On the other hand, a smaller sample size could result in a weaker relationship and a higher p-value. It is important to consider all relevant factors when interpreting statistics and making conclusions.
This result contributes to the test statistic, which is a numerical value that helps determine if there is a significant difference between the compared groups.

In this case, the test statistic would be larger, indicating a greater difference between the rates of black youths tried as adults and those of other races. A larger test statistic typically leads to a smaller p-value, which is a measure of the probability of observing such a difference by chance alone. A smaller p-value (usually less than 0.05) suggests that the observed difference is not due to chance and is statistically significant, indicating a possible disparity in the treatment of black youths within the justice system.

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Answer:

D

Step-by-step explanation:

When you do a power to a power you multiply

4 * 2/9 = 8/9

Answer:

12^8/9

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

If we replace all the spots where x is with -3, we get this: (-3)^2 + 5(-3) + 4. Then we get... 9 + -15 + 4 which equals -2

Answer:

B is the answer

Step-by-step explanation:

Rigid motion they don't change shape or size just move around.

1) The statement of Lin is correct.

2) (a) When scale factor, k = 9, area of the new triangle = 8100 square inches

(b) When k = 3/4, area of the new triangle = 56.25 square inches.

Given that,

A triangle has area 100 square inches.

It's dilated by a factor of k = 0.25.

When the triangle is dilated by a scale factor of k, then, each of the base and height is dilated by the scale factor of k.

So new area of the triangle after the dilation with the original triangle having base = b and height = h is,

Area of new triangle = 1/2 (kb)(kh) = k² (1/2 bh) = k² × Area of original triangle

Here original area = 100 square inches.

k = 0.25

New area = (0.25)² 100 = 6.25 square inches

So the correct statement is that of Lin.

Mai may found the new area by just multiplying the scale factor with 100, instead of taking the square of the scale factor. That is why she got 25 square inches as the new area.

2) (a) When k = 9,

Area of the new triangle = 9² (100) = 8100 square inches

(b) When k = 3/4

Area of the new triangle = (3/4)² (100) = 56.25 square inches

Hence the areas are found.

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The system of equations which is represented the equivalent single equation without the y variable in it is x-1=0.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The system of equations as an equivalent single equation without the y variable has to be found out for the given equation.

The first equation given in the problem is,

\(x + y = 10\)

Subtract x from both sides and solve it for y,

\(x + y -x= 10-x\\y=10-x\)                    .........1

The second equation given in the problem is,

\(y = 4x + 5\)

Put the value of y in this equation from equation 1 as,

\(y = 4x + 5\\10-x = 4x + 5\\10-5=4x+x\\5=5x\\5x-5=0\)

Divide both side with number 5,

\(x-1=0\)

Thus, the system of equations which is represented the equivalent single equation without the y variable in it is x-1=0.

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The probability mass function of the number of sales that the salesman made is P(X = 0)

= 0.49

P(X = 1)

= 0.42

P(X = 2)

= 0.09.

The probability mass function of the number of sales that a salesman will make can be calculated as follows: Let X denote the number of sales that the salesman will make. Since the salesman has two independent appointments with different probabilities of leading to a sale, we can use the binomial distribution to calculate the probability mass function. The binomial distribution has two parameters: n, the number of independent trials, and p, the probability of success on each trial. In this case, the salesman has two appointments, so n is 2. The probability of making a sale on the first appointment is 0.3, and the probability of making a sale on the second appointment is 0.6. Therefore, p is 0.3 for the first appointment and p is 0.6 for the second appointment. The probability of not making a sale on each appointment is 1 - p. Therefore, q is 0.7 for the first appointment and q is 0.4 for the second appointment. Using the binomial probability mass function, we can find the probability of making 0, 1, or 2 sales:

P(X = 0)

= (2 choose 0)(0.3)^0(0.7)^2

= 0.49

P(X = 1)

= (2 choose 1)(0.3)^1(0.7)^1 + (2 choose 1)(0.6)^1(0.4)^1

= 0.42

P(X = 2)

= (2 choose 2)(0.6)^2(0.4)^0

= 0.09

Therefore, the probability mass function of the number of sales that the salesman will make is: P(X = 0) = 0.49

P(X = 1) = 0.42

P(X = 2) = 0.09

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Answer:

Assuming 64y - 24z = 0, y= 3z/8 and z = 8y/3

Step-by-step explanation:

plugged it into a calculator.

Answer: 264

Step-by-step explanation: