A cyclist cycles a distance of 40 miles in a time of 4 hours.what is her average speed?

Answer:

1)r=√V/πh

Step-by-step explanation:

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Step-by-step explanation:

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Answer:  thousandths = log 520 = log 2 (1/5) = 2.

Step-by-step explanation:

thousandths = log 520 = log 2 (1/5) = 2.

Answer:

2 apples

Step-by-step explanation:

It is because she had 1 apple then she added another which made it 2.

The unit rate would be stitches per minute.

Divide total stitches by total time:

3600 / 3 = 1200

Unit rate = 1200 stitches per minute.

Step-by-step explanation:

If 5x - 8 = 12 , then x = 4

5x - 8 = 12

5x = 12 + 8

5x = 20

x = 20/5

x = 4

If -2(3x + 5) = -17 + x , then x = 1

-2(3x + 5) = -17 + x

-6x - 10 = -17 + x

x + 6x = 17 - 10

7x = 7

x = 7/7

x = 1

The inequality in terms that represents all times when the soup is cool enough for Raj to take it out of the freezer is:

170 - 30h ≤ 74

Given, Raj has put a soup intot he freezer to cool down.

The soups temperature started at 170 °F and decreased at a rate of 30 °F per hour.

Let h represent the number of hours the soup stays in the freezer.

Raj wants the soup to cool down so that its temperature, when he takes it out of the freezer, is at most 74 °F.

we are asked to determine  an inequality in terms of that represents all times when the soup is cool enough for Raj to take it out of the freezer.​

⇒ 170 - 30h ≤ 74

⇒ 170 - 74 ≤ 30h

⇒ h ≥ 3.2

Hence we get the required inequality form.

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Answer:

x > -7

-7x > 49

Multiply both sides by (-1) (Reverse inequality)

(-7x) (-1) < 49 (-1)

Simplify

7x < -49

Divide both sides by 7

7x/7 < -49/7

Simplify = x > -7

There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.

In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.

A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.

So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.  

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The probability of getting at least one 12 is 1 - 0.4989 = 0.5011.

When rolling a pair of dice, the probability of getting a 12 is 1/36, as there is only one combination (6,6) that results in a 12.

To determine the likelihood of a 12 appearing in 24 or 25 rolls, we can use the complement probability, which is the probability of a 12 NOT appearing in any of the rolls.

For 24 rolls, the probability of not getting a 12 in any roll is (35/36)^24 ≈ 0.5086. Therefore, the probability of getting at least one 12 is 1 - 0.5086 = 0.4914. Since it's slightly less than 50%, you should bet against a 12 appearing.

For 25 rolls, the probability of not getting a 12 in any roll is (35/36)^25 ≈ 0.4989. The probability of getting at least one 12 is 1 - 0.4989 = 0.5011. As it's slightly more than 50%, you should bet for a 12 appearing in one of the rolls.

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The equation of the quadratic function is f(x) = (x + 5)² - 2

A quadratic function is a second-degree polynomial function of one variable, which can be written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and x is the variable.

From the question, we have the table of values which represents a quadratic function f(x).

A quadratic equation is represented as

f(x) = a(x - h)² + k

Where, Vertex = (h, k)

If we plot the graph according to the given table, the vertex will be,

(h, k) = (-5, -2)

Substitute, (h, k) = (-5, -2) in f(x) = a(x - h)² + k

So, we have, f(x) = a(x + 5)² - 2

Also, from the graph, we have the point (0, 23)

This means that

a(0 + 5)² - 2 = 23

25a = 25

a = 1

Substitute a = 1 in f(x) = a(x + 5)² - 2

f(x) = (x + 5)² - 2

Hence, the equation is f(x) = (x + 5)² - 2

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Answer:

b = 25 a=40

Step-by-step explanation:

if U look closely U can see that 2 alternate angles are shown (I've highlighted them in pink and yellow) when u have an alternate angle it makes a z shape the angles in that z shape are always equal

The range of a set of numbers measures the spread or dispersion of the values in the set, and in the given set of numbers, the range is 4.1.

The range of a set of numbers is the difference between the largest and smallest numbers in the set.

The range can be a useful measure of the variability of a dataset, as it can tell us if the values are tightly clustered or widely spread out. However, the range can be influenced by extreme values, also known as outliers, which can distort the measure.

In the given set of numbers:

9, 6.9, 8.1, 7, 7.9, 7.1, 9, 7.6, 4.9

The largest number is 9, and the smallest number is 4.9.

So, the range is:

9 - 4.9 = 4.1

Therefore, the range of the given set of numbers is 4.1.

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Suppose that the probability is 0.40 that at most two of these individuals purchase an electric oven.

The probability that at most two individuals purchase an electric oven is 0.40. Thus, the probability that three or more individuals will purchase an electric oven is 1 - 0.40 = 0.60.In other words, the probability of three or more people purchasing an electric oven is 0.60, given that the probability of at most two people purchasing the electric oven is 0.40.

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The t value needed to develop the 95% confidence interval for the population mean sat score is 1.998.

We are given the sample of 64 sat scores, which is n=64.

Average score is given as 1200.

Sample Standard deviation of sat scores is 200.

We have to find the t value to develop 95% confidence interval.

We will use t test, as population standard deviation is not known.

To find t value, first we will calculate the degrees of freedom,

Degrees of freedom, df=n-1

df=64-1

df=63

From the t table for  df=63 and 95% confidence Level, we have the t value as 1.998.

Therefore, the t value needed to develop the 95% confidence interval for the population mean sat score is 1.998.

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Answer: To find the percentage of movies Jane thought were very good, we need to divide the number of movies she thought were very good by the total number of movies she watched, and then multiply by 100.

Number of movies Jane thought were very good: 14

Total number of movies Jane watched: 35

Percentage = (Number of movies thought very good / Total number of movies watched) * 100

Percentage = (14 / 35) * 100 ≈ 40%

Therefore, Jane thought that approximately 40% of the movies she watched were very good.

Answer:

C=2 D=2

SA=

Step-by-step explanation:

Surface Area (SA)= 2(wl+hl+hw)

2(2×5+9×5+9×2)

=146 yards

By substitution, it find that c= -1

The given equation can be re-written as:

y' + 18xy2 = 0

Let y = 1/(cx2 + 1).

Substituting it in the given equation:

[-1/(cx2 + 1)]' + 18x(1/(cx2 + 1))2 = 0

Simplifying:

-(2cx)/(cx2 + 1)2 + 18x/(cx2 + 1) = 0

Cross multiplying:

2cx2 + 2cx - 18x2 - 18x = 0

Collecting like terms:

2cx2 + 2cx - 18x2 - 18x = 0

cx2 + cx - 9x2 - 9x = 0

cx(x - 9) + (x - 9)x = 0

(x - 9)(cx + x) = 0

Therefore, c = -1.

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The statement "In a buying center, individuals who have the formal and informal power to select or approve the supplier that receives the contract. for routinely purchased products, the decider is likely to be the buyer but for more complex product, the decider could come from R&D, engineering, or quality control." is correct.

What is a buying center?

The buying center is a group of people or organizations who participate in the purchasing process, each with their own interests, responsibilities, and power. The buying center could consist of a few individuals or numerous individuals who represent different departments or functional areas.

The members of the buying center are divided into several groups based on their roles and responsibilities, including initiators, users, influencers, deciders, and buyers.

What is a decider?

The decider is the person or group of people within a buying center who has the power to make the final decision on a purchase. The decider is typically the person who is responsible for the function or process that the purchase will affect.For routine purchases, such as office supplies, the decider is typically the buyer or the person responsible for making the purchase.

However, for more complex purchases, such as new equipment or software, the decider may come from research and development, engineering, or quality control.

These individuals have a greater understanding of the technical specifications and requirements for the product or service and are better equipped to evaluate the alternatives and make the best decision for the organization.

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Answer:

persepctive

Step-by-step explanation:

have a great day<3

The length of the arc opposite a central angle that measures 46 degrees is 2.72 cm.

What is circle?

The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.

in a circle of radius 3.4 cm

central angle that measures 46 degrees

length of arc = (46/360) * 2π*3.4

=2.72cm

Hence the length of the arc opposite a central angle that measures 46 degrees is 2.72 cm

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SOLUTION

A ratio is an ordered pair of numbers a and b, where the raio of a to b is written as a / b where b does not equal 0.

Hence

The ratio of 360 to 240 is given as

reduce to the lowest fraction we have

Then

Hence the ratio of 360 to 240 in the simplest form is 3 to 2

Answer:

5.2

Step-by-step explanation:

g(x) = mx +b

g'(x) = m = 2 for all x

g(-1) = 2(-1) + b = 5

-2 + b = 5

b = 7

So, g(x) = 2x + 7

Therefore g(-.9) = 2(-.9) + 7

= -1.8 + 7 = 5.2

The value of g(-0.9) is equal to 5.2.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

As per the given data:

g(x) is a differentiable function.

We have to use the function's local linear approximation at x = -1.

g(-1) = 5

g'(-1) = 2

As We have to use the function's local linear approximation:

Let assume, g(x) = mx + b

Differentiating both sides,

g'(x) = m

∴ g'(-1) = 2 = m

m = 2

g(x) = 2x + b ...(i)

g(-1) = 5

Using in eq (i)

5 = -2 + b

b = 7

g(x) = 2x + 7

Let's substitute x = -0.9 to find out the answer.

g(-0.9) = 2(-0.9) + 7

= 7 - 1.8 = 5.2

The value of g(-0.9) is equal to 5.2.

Hence, The value of g(-0.9) is equal to 5.2.

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The value of x from the given equation is -10.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Step 1: 2x-6+7-3x=11 (Distributive property)

Step 2: 2x-3x-6+7=11 (Commutative property of addition)

Step 3:-x+1=11 (Write equivalent expression)

Step 4: -x=10 (Addition property of equality)

Step 5: x=-10 (Multiplication property of equality)

Therefore, the value of x is -10.

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Slope Intercept Form Calculator is a free online tool that uses the slope-intercept form to show a line's equation.

A line's slope, also known as its gradient, is a number that indicates the line's steepness and direction.

The slope-intercept form is one way to express a line's equation in mathematics. The equation of a line can be defined in one of three ways: standard form, point-slope form, or slope-intercept form. The equation of the line can be easily determined once the slope and y-intercept value is known. The slope-intercept form can be expressed as y = mx + b, where b denotes the y-intercept and m denotes the slope.

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\(Answer:\large\boxed{y=\frac{2}{3} x+6}\)

Step-by-step explanation:

First let's convert 2x - 3y = 12 into \(y = mx + b\)  form.

In order to do this, solve for y.

\(2x-3y=12\)

\(-3y=-2x+12\)

\(y=\frac{2}{3} x-4\)

This shows us that the slope is   \(\boxed{\frac{2}{3}}\)

Now we use the point-slope formula:

\((y-y1)=m(x-x1)\)

where m is the slope and y1 and x1 are the point the line passes through

Using the point (-6,2) and slope, 2/3, we can find the equation:

\((y-2)=\frac{2}{3} (x-(-6))\)

\((y-2)=\frac{2}{3} (x+6)\)

\((y-2)=\frac{2}{3} x+4\)

\(\large\boxed{y=\frac{2}{3} x+6}\)

Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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Answer:

800

Step-by-step explanation:

Find the area of everything first.

30 times 38 = 1140. ( This would be if everything was shaded)

Next, find the area of the mini square.

To do that, calculate the length first.

30-7-6= Length= 17

20 times 17 = 340

1140-340= 800