select the digit in the ten thousand place for 542,970​

Answer:

x 3is the correct answer

Answer: 42

Step by step:

42 is divisible by both 7 and 2

Answer:

44

Step-by-step explanation:

4 x 11 = 44

2 x 22 = 44

Answer:

Local minimum at x = 0.

Step-by-step explanation:

Local minimums occur when g'(x) = 0 and g"(x) > 0.

Local maximums occur when g'(x) = 0 and g"(x) < 0.

Set g'(x) equal to 0 and solve:

0 = 2x (x − 1)² (x + 1)²

x = 0, 1, or -1

Evaluate g"(x) at each point:

g"(0) = 2

g"(1) = 0

g"(-1) = 0

There is a local minimum at x = 0.

Answer:

Local minimums occur when g'(x) = 0 and g"(x) > 0.

Local maximums occur when g'(x) = 0 and g"(x) < 0.

Set g'(x) equal to 0 and solve:

0 = 2x (x − 1)² (x + 1)²

x = 0, 1, or -1

Evaluate g"(x) at each point:

g"(0) = 2

g"(1) = 0

g"(-1) = 0

There is a local minimum at x = 0.

Answer:

Your answer is -15m+20

Step-by-step explanation:

How i got my answer was is you have to multiply the -5 to each number in the parenthesis so -5x3m is -15m and -5x-4=20 the reason the 20 is not negative because a negative and a negative makes a positive. I hope this helped:)

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.

After drawing a right-angle triangle from the above information.

Applying Pythagoras' theorem:

60² = 6² + x²

After solving:

x = 59.69 ≈ 59.7 foot

Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

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The slope of the given line that passes through (4, 2) and (6, 3) is m = 1/2.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given are the statements regarding the slope of the line as given.

The line passes through the points -

(4, 2) and (6, 3)

The slope of the line will be -

m = (3 - 2)/(6 - 4)

m = 1/2

Therefore, the slope of the given line that passes through (4, 2) and (6, 3) is m = 1/2.

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Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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The points are as selected on the graph.

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

Since f(x) = -9. What this means is that the value of f(x) will always be -9 irrespective of the value of x. That is:

x    f(x)

-2   -9

0    -9

2    -9

7    -9

9    -9

Check the attached image for the points on the graph

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Hi there,

I hope you and your family are staying safe and healthy during this anomalous time.

To find the answer, we just need to:

\(\frac{402}{15} = 26.8\)

Thus,

We can estimate they will need 27 or 26 trays

Please leave 5 stars and a like if you find this answer helpful! Don't hesitate to reach out to me if you need more help.

~Garebear

greatest common factor 12 and 28 is 4

The greatest common factor (GCF) of 12 and 28 is 4.

To find the GCF, you can determine the factors of both numbers and identify the greatest common factor they share.

As we know that a factor is a number that entirely divides another number.

To put it another way, any two integers that multiply to generate a result are factors of the result.

For 12, the factors are 1, 2, 3, 4, 6, and 12.

For 28, the factors are 1, 2, 4, 7, 14, and 28.

The common factors of 12 and 28 are 1, 2, and 4.

Among them, the greatest common factor is 4.

Therefore, the GCF of 12 and 28 is 4.

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Step-by-step explanation:

An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.

Answer: He will need 1 1/4 cups of butter

Step-by-step explanation:

1. We can do 28/8 to find how much we need to multiply our 1/2 cup of butter to keep the ratio of people to cups of butter the same. 28/8= 3 1/2

2. Then we can multiply 3 1/2 and 1/2 to get 1 1/4 cups of butter.

Joaquin requires 5.25 cups of butter to serve 28 people.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Given that the original recipe serves 8 people and requires 1/2 of a cup of butter but he needs it to serve 28 people.

Let the quantity of butter required for the new recipe be x.

To determine how much to multiply our 1/2 cup of butter in order to keep the same proportion of persons to cups of butter,

we can use the ratio of 28/8.

So, 8:1.5::28:x

⇒ 8x = 42

⇒ x = 5.25

Hence, Joaquin requires 5.25 cups of butter to serve 28 people.

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The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.

To find the probability that a randomly selected student will like pizza but not chicken nuggets.

Let P = the number of students who like pizza but not chicken nuggets

Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets

P = 28n - 8

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students)

We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:

Total number of students = 28n + 15 - 8 = 28n + 7

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)

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False. The equation \(x = x2u + x3v\) describes a line through the origin, not a plane.

The equation \(x = x2u + x3v\) describes a line through the origin, not a plane. This equation can be written as \(x = x2u + x3v\), which is the same as \(ux2 + vx3 - x = 0\). This equation is in the form of \(ax + by + cz = d\), with a = u, b = v, c = -1, and d = 0. Since the coefficients of \(x2, x3\), and x are all non-zero, we can conclude that this equation describes a line, not a plane. To confirm, we can calculate the direction vector for the line. The direction vector is (u, v, -1), which is a single vector and not two or more vectors that would be necessary to describe a plane.

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Answer:

bro its socrates

Step-by-step explanation:

Answer:

A. Sophists

Step-by-step explanation:

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

A

Step-by-step explanation:

f(x)=-5x³+3x²+x-9

leading coefficient is negative and it is of odd degree.

so it starts from above onthe left  and ends at the bottom ont he right.

The equation of line r, in slope-intercept form, is: y = -1/9x - 9.

The equation that represents a line, in slope-intercept form, is expressed or written as:

y = mx + b, where the slope is m, and the y-intercept is b.

The slope of line q, with the equation y + 7 = 9(x + 4) is 9. The negative reciprocal of 9 is -1/9. This means line r that is perpendicular to line q and passes through (9, -10) has a slope, m = -1/9.

To write the equation of the line in slope-intercept form, first, substitute m = -1/9 and (a, b) = (9, -10) into y - b = m(x - a):

y - (-10) = -1/9(x - 9)

y + 10 = -1/9(x - 9)

Rewrite in slope-intercept form:

y + 10 = -1/9x + 1

y = -1/9x + 1 - 10

y = -1/9x - 9

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Answer:

The two lines are coincident (essentially the same line) so every point on the line is a solution. Normally you would say they have infinitely many solutions.

An example of this would be:

y = 2x + 3

2y = 4x + 6

The statement that matches this situation would be D.

Answer:

D. The system of equations does not have only one solution (it has infinitely many) because the lines do not intersect at *only* one point.

Step-by-step explanation:

Answer:

THis is a function

Step-by-step explanation:

Each x value corresponds to one y-value. It is a function.

The angle between u and v is approximately 26.6 degrees.

To find the angle between two vectors, u and v, we can use the dot product formula:

u · v = ||u|| ||v|| cosθ

where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.

Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:

u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50

Next, we find the magnitudes of u and v:

||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246

||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071

Substituting these values into the dot product formula:

50 = 8.246 * 7.071 * cosθ

Simplifying, we have:

cosθ = 50 / (8.246 * 7.071) ≈ 0.899

Taking the inverse cosine (arccos) of 0.899, we find:

θ ≈ 26.6 degrees

Therefore,To find the angle between two vectors, u and v, we can use the dot product formula:

u · v = ||u|| ||v|| cosθ

where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.

Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:

u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50

Next, we find the magnitudes of u and v:

||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246

||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071

Substituting these values into the dot product formula:

50 = 8.246 * 7.071 * cosθ

Simplifying, we have:

cosθ = 50 / (8.246 * 7.071) ≈ 0.899

Taking the inverse cosine (arccos) of 0.899, we find:

θ ≈ 26.6 degrees

Therefore, the angle between u and v is approximately 26.6 degrees.

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When there is not enough evidence to conclude a significant linear relationship between variables, it is not appropriate to use a regression equation to make predictions. In such cases, it is more reasonable to rely on the mean of the y values to make predictions.

The mean of the y values provides a simple and neutral estimate of the average response variable value, irrespective of any relationship with the predictor variable. This approach assumes that, on average, future observations will be similar to the past observations in terms of the response variable. While this may not account for potential variations or patterns, it represents a conservative estimate that is not influenced by an unsupported assumption of a linear relationship.

It is important to note that using the mean as a prediction in this context assumes that there are no other relevant predictors or factors influencing the response variable. If there are additional variables that might affect the relationship, you may need to consider alternative approaches, such as exploring other models or using additional information to make predictions.

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Answer:

\( h = 4 cm \)

Step-by-step explanation:

Volume of cylinder is given as \( V = \pi r^2h \),

r = radius of base of cylinder, h = height of the cylinder.

Let's make h (height) the subject of the formula (i.e. select the formula for h).

\( V = \pi r^2h \)

Divide both sides by πr²

\( \frac{V}{\pi r^2} = \frac{\pi r^2h}{\pi r^2} \)

\( \frac{V}{\pi r^2} = h \) (πr² crosses out πr²)

Rewrite the formula:

\( h = \frac{V}{\pi r^2} \)

Given a cylinder of Volume (V) = 36π cm³, and radius (r) = 3 cm,

height of the cylinder can be selected by plugging these values into the formula for h (height) we selected above. Thus:

\( h = \frac{36 \pi}{\pi 3^2} \)

Simplify:

\( h = \frac{36 \pi}{\pi * 9} \)

\( h = \frac{36}{9} \) (π crosses out π)

\( h = 4 cm \)