Change 890cm into meters

Answer:

what missing lengths il try to help. the answer is 5/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

this missing is watch a video about it

Answer:

y = 1/4x + 5

Step-by-step explanation:

Answer:

y = 1/4x + 5

Step-by-step explanation:

We need to write the equation in slope-intercept form [ y = mx + b ] where m = slope and b = y-intercept. We are given a slope of 1.4 and y-intercept of 5, so fill it into the formula.

y = 1/4x + 5

Best of Luck!

Answer:

You are correct, this is not a good explanation

Step-by-step explanation:

Answer:

Commutative property.

Step-by-step explanation:

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it.

E.g

1 × 5 = 5

5 × 1 = 5

2 + 3 = 5

3 + 2 = 5

(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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Complement of set A is the set of all elements in the universal set that are not in the set .

If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.

In this case, A' = x U: x A.

In other words, the complement of a set A is the difference between the universal set and set A.

For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.

A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}

A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.

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Answer:

350 girls

Step-by-step explanation:

So,

The secret to solving problems with ratios is to find the value of one unit.

5:7 = 12 units total

To find one unit, divide the total number of students by the total number of units.

600/12 = a

Simplify

50/1 = a

50 = a

The value of each unit is 50.

Now, multiply the units by the numbers in the ratio.

50(5) = b

250 = boys

50(7) = x

350 = x

There are 350 girls.

The list of all the positive common divisors of 48 and 60 is:1, 2, 3, 4, 6, 12.

To find all the common divisors of 48 and 60, we need to first list the divisors of both numbers. So let's list out the divisors of both 48 and 60.

Divisors of 48:1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 60:1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Now, we can identify the common divisors by comparing the two lists. The common divisors of 48 and 60 are:1, 2, 3, 4, 6, 12

In division, we divide a number by any other number to get another number as a result. So, the number which is getting divided here is called the dividend. The number which divides a given number is the divisor.

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Answer:

99.7%

Step-by-step explanation:

According to the Empirical Rule:

By calculating the z-score of each observed value, we can determine how many standard deviations these observed values are from the mean:

\(\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{99-120}{7}\\ \\Z=\frac{-21}{7}\\\\Z=-3\)

\(\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{141-120}{7}\\ \\Z=\frac{21}{7}\\\\Z=3\)

Clearly, we can see that 99.7% of males in the town have a systolic blood pressure between 99 and 141 by the Empirical Rule.

The given statement, "Andrew is studying mathematics and studying about the coordinate system. in this system, the coordinates of a point are dependent on the distance of the point from the origin, and the angle the point subtends at the origin." is False.

In the coordinate system, the coordinates of a point are not dependent on the distance of the point from the origin and the angle the point subtends at the origin. The coordinates of a point in the Cartesian coordinate system (most commonly used) are determined by the distances of the point along each of the coordinate axes (usually denoted as x and y).

The x-coordinate represents the horizontal distance of the point from the origin, and the y-coordinate represents the vertical distance of the point from the origin. The coordinates of a point are usually written as (x, y).

The distance of a point from the origin can be calculated using the Pythagorean theorem as the square root of the sum of the squares of the x-coordinate and y-coordinate. However, the distance from the origin is not a factor in determining the coordinates of a point.

The angle that a point subtends at the origin is typically referred to as the polar angle or the angle in polar coordinates. Polar coordinates are an alternative coordinate system that uses the distance from the origin and the angle to represent a point. However, in the Cartesian coordinate system, the coordinates of a point are not directly dependent on the angle it subtends at the origin.

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a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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mass (m) = 5.4g

Volume (V) = 2 cm^3

To find the density (p), we have to apply the next formula:

p= m/v

Replacing:

p´= 5.4/2 = 2.7 g/cm^3

The intervals where the function is increasing, decreasing, or constant is given below: Decreasing: x > -3Increasing: x < -3 Constant: At x = -3

Given function is, f (x)=\begin{cases}3 & \text{ if } x<-3\\-x+3 & \text{ if } x\geq -3\end{cases}

Let us graph the function as shown below: graph{(y=3),(-x+3)[x>=-3]}

Clearly, the given function has a break in the graph at x = -3.

Hence, we have to check the intervals to determine where the function is increasing, decreasing, or constant.

f (x)=\begin{cases}3 & \text{ if } x<-3\\-x+3 & \text{ if } x\geq -3\end{cases}

\frac{df}{dx}=\begin{cases}0 & \text{ if } x<-3\\-1 & \text{ if } x>-3\end{cases}

The derivative of the function is defined as the slope of the function.

Thus, the function is decreasing where the derivative is negative.

Hence, the intervals where the function is increasing, decreasing, or constant are given below: Decreasing: x > -3Increasing: x < -3 Constant: At x = -3

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Step-by-step explanation:

B The answer is B

10.9-> 11

Answer:

The total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce.

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

The correct conclusions about the triangle reflections are -

        {y} - axis.

        {x} - axis.

In statistics, a quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size. The data must be ordered from smallest to largest to compute quartiles.

Given is the boxplot as shown in the image.

From the box - plot, we can write the results as -

Therefore, We c

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The consumer testing group has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal and test Statistic for this example is 8.90b and the P-value for this example is 0.011

The null hypothesis and alternative hypothesis are:H0: μ1 = μ2 = μ3HA: At least one μi differs from the rest of the means.The level of significance is α = 0.05The test statistic used for this example is the F distribution (ANOVA).a. Calculation of the Test Statistic:

Test Statistic = MSR / MSEWhere,MSR = mean square due to regression = SSTR / 2 = 190.66MSE = mean square due to error = SSE / 12 = 21.43Therefore, the test statistic F = MSR / MSE = 8.90b.

Calculation of the P-value:P-value = P(F > 8.90)The degrees of freedom for numerator is k-1 = 3 - 1 = 2 and the degrees of freedom for the denominator is N-k = 15 - 3 = 12.The p-value of the F distribution with 2 and 12 degrees of freedom at 5% level of significance is 0.011. Therefore, P-value < α.

Thus, we reject the null hypothesis. We conclude that at least one μi differs from the rest of the means. Therefore, the average battery lifetimes are not statistically the same for the three brands.

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Answer:

\(4x + 8\)

Step-by-step explanation:

Hi!

So we have to use the distributive property here and distribute 4 to both the x and the 2.

So we do

\((4*x)+(4*2)\)

Simplify further:

\(4x + 8\)

That's your answer

The process has to continue for approximately 2.86 minutes until there are 20 grams of salt in the tank.

We can use a mass balance approach to solve this problem. Let's start by calculating the amount of salt in the tank at any given time. We know that initially there are 5 grams of salt in 20 liters of water, so the concentration of salt is:

c1 = 5 g / 20 L = 0.25 g/L

As brine with a concentration of 2 grams per liter is added at a rate of 3 liters a minute, the concentration of salt in the tank increases at a rate of:

dc/dt = 2 g/L * 3 L/min = 6 g/min

At the same time, the tank is being drained at 3 liters a minute, so the volume of the tank remains constant. This means that the total amount of salt in the tank is changing at a rate of:

dm/dt = dc/dt * V = (6 g/min) * (20 L) = 120 g/min

We want to know how long the process has to continue until there are 20 grams of salt in the tank, which means we need to solve for the time t when the total amount of salt in the tank reaches 20 grams:

m = 5 g + (6 g/min) * t - (3 L/min) * t * (0.25 g/L) = 20 g

Simplifying this equation, we get:

6t - 0.75t = 15

5.25t = 15

t = 2.86 minutes

Therefore, the process has to continue for approximately 2.86 minutes until there are 20 grams of salt in the tank.

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The ordered pair of C'' after the sequence of transformation is (-14, -5)

Here we have know that  ABC can be plotted at A (-14, 14), B (-8, 11) & C (-14, 5).

Here we all know that the y-axis reflection rule is written as,

=> (x, y) → (-x, y)

And the value of x coordinate flips in sign from positive to negative, or vice versa. Then the value of y coordinate stays the same.

Then the point is look like C(-14,5) will then reflect based on the following rule,

=> (x, y) → (x, y)

The transformed coordinates are look like,

=> (-14,5) ((-14),5)

=> (-14,5)→ (14,5)

Therefore, here we have point C' located at (14,5) after applying the y-axis reflection rule on point C.

Now, the next operation to do is is the 180 degree rotation.

And this can be clockwise or counterclockwise.

Then the rotation rule is written as

=> (x, y) → (-x,y)

Now, for this time both coordinates flip in sign.

Here we have know that this rule only works if the center of rotation is the origin.

Now, let us apply that rotation rule to C' to find where C" is located.

Then the rule can be written as,  (x, y) → (-x,y)

=> (14,5)→ (-14, -5)

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The sampling distribution of the difference in the sample mean length of candles between Machine 1 and Machine 2 is approximately normally distributed with a mean of 0 and a standard deviation of 0.0212 centimeters.

When we take a random sample of 49 candles from each machine, the sampling distribution of the difference in the sample mean length of candles follows a normal distribution. The shape of this distribution is symmetric and bell-shaped.

This means that the majority of the differences in sample means will be close to zero, representing little to no difference between the machines. The center of the sampling distribution is at 0, indicating that, on average, there is no difference in the sample mean length between the two machines.

The variability of the sampling distribution is represented by the standard deviation, which is calculated using the formula for the standard error of the difference in sample means. In this case, the standard deviation is 0.0212 centimeters, which indicates the average amount of variation or spread in the differences of sample means.

It's important to note that the shape, center, and variability of the sampling distribution are based on the assumptions of random sampling and independence of the samples from each machine.

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a) If function be \($f(x)=\frac{x^2+(17-4 x)}{9 x}$\) then the value of f(5) = 22/45.

b) If function be g(x) = 3 x² - 6x + 9 then the value of g(x + 3) = 3x² + 12x + 18.

c)  If the function be \($h(y)=\frac{y^3-5}{7 y}$\) then the value of \($h(2x) =\frac{8 x^3-5}{14 x}$$\).

a) Let the function be \($f(x)=\frac{x^2+(17-4 x)}{9 x}$\)

substitute the value of x = 5, then

\($f(5) = \frac{5^2+(17-4 \cdot 5)}{9 \cdot 5}$$\)

simplifying the above equation, we get

\($=\frac{22}{45}$$\)

Therefore, the correct answer is 22/45.

b) Let the function be g(x) = 3 x² - 6x + 9

substitute the value of g(x) = g(x + 3), then we get

To estimate the value of g(x + 3) = 3(x + 3)² - 6(x + 3) + 9

= 3x² + 18x + 27 - 6(x + 3) + 9

simplifying the above equation, we get

=3x² + 18x + 27 - 6x - 18 + 9

Group like terms, we get

= 3x² + 18x - 6x + 27 - 18 + 9

=3x² + 12x + 27 - 18 + 9

= 3x² + 12x + 18

Therefore, the value of g(x + 3) = 3x² + 12x + 18.

b) Let the function be \($h(y)=\frac{y^3-5}{7 y}$\)

substitute the value of y = 2x, then we get

\($h(2x)=\frac{(2x)^3-5}{7 (2x)}$\)

simplifying the above equation, we get

\($=\frac{8 x^3-5}{7 \cdot 2 x}$$\)

\($=\frac{8 x^3-5}{14 x}$$\)

Therefore, the value of \($h(2x) =\frac{8 x^3-5}{14 x}$$\).

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Answer: no solution

Step-by-step explanation:

There is no value for x that makes the equation true

Answer:

the answer is -0.8

Answer:

If Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them, we can set up the following equation:

1.05x = 3.15

Here, x represents the amount Joshua pays for a pack of pens.

To solve for x, we can divide both sides of the equation by 1.05:

x = 3.15 / 1.05

Simplifying, we get:

x = 3

Therefore, Joshua pays $3 for a pack of pens.

This equation will have only one solution, which is x = 3.

hope it helps you

Step-by-step explanation:

ONE solution

x = price he pays

1.05x  = price at which  he sells

1.05x = $ 3.15

x = $ 3.15/1.05

The 41st term in the sequence 12, 18, 24, ... is 342.To find the nth term in an arithmetic sequence, we use the formula:
an = a1 + (n - 1)d

where an is the nth term, a1 is the first term, n is the term we want to find, and d is the common difference.

In this case, we know that a1 = 12 and d = 6 (since each term increases by 6).

So, we can plug in n = 41 and solve for an:

an = 12 + (41 - 1)6
an = 12 + 240
an = 252

Therefore, the 41st term in the sequence is 342.
The main answer is that the 41st term of the given sequence is 492.

Explanation: This sequence is an arithmetic progression, with a common difference of 6 between each term (18-12 = 24-18 = 6). To find the 41st term, use the formula:

nth term = first term + (n - 1) * common difference

41st term = 12 + (41 - 1) * 6
41st term = 12 + (40) * 6
41st term = 12 + 240
41st term = 252

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Answer:

1/4

Step-by-step explanation:

Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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The probability that Tom eats one gummy and one fish is 1/6.

If he grabs a red gummy on the first try, there are now three equally likely outcomes for the second try: he can either grab a green gummy, a red fish, or a green fish. If he grabs a red fish on the second try, then he has eaten one of each and we're done. So the probability of this happening is:

P(red gummy on first try and red fish on second try) = P(red gummy on first try) × P(red fish on second try | red gummy on first try)

= 1/4 × 1/3

= 1/12

Similarly, if he grabs a green gummy on the first try, there are again three equally likely outcomes for the second try, and if he grabs a green fish on the second try, then he has eaten one of each. So the probability of this happening is:

P(green gummy on first try and green fish on second try) = P(green gummy on first try) × P(green fish on second try | green gummy on first try)

= 1/4 × 1/3

= 1/12

Therefore, the probability that Tom eats one gummy and one fish is the sum of these two probabilities:

P(one gummy and one fish) = P(red gummy on first try and red fish on second try) + P(green gummy on first try and green fish on second try)

= 1/12 + 1/12

= 1/6

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150 students scored between 42 and 56 on the district geometry test.

Box whisker plots are used to abstract a collection of data that has been approximated using an interval scale. Just a box plot is another name for it. They are mostly employed while interpreting data. It is one of the graphical approaches that shows how the dataset's data varies from one another. The histogram may be used to display the data as well. Yet a histogram offers a useful presentation. Box and whisker plots are preferable to histograms because they may exhibit numerous sets of data on a single graph, which adds more information.

From the box whisker plot we see that the lower quartile is 42 and the median is 56.

The median represents the 50th percentile whereas lower quartile is 75%.

The difference is:

75 - 50 = 25%.

Now, for 600 scores we have:

25% of 600

= 25/100 (600) = 150

Hence, 150 students scored between 42 and 56 on the district geometry test.

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A right rectangular prism is: