Select all the values of m that make the inequality m<7.4 true. 7.40

7.62

6.8

7.09

8.1

Answer:

no x² + 5x + c is a perfect square

Step-by-step explanation:

Rita's estimate of $50 is a good estimate, but it's not precise. If she works 10 hours a week and makes $9 an hour, her total will be $90. Half of 90 is 45. This means her spending money each week is $45.

The solutions to the quadratic equation 4x² + 9 = 94 are x = √(85)/2 and x = -√(85)/2.

A second-degree polynomial equation is a quadratic equation. Depending on the discriminant (b square - 4ac) of the equation, quadratic equations might have zero, one, or two real solutions. If the discriminant is positive, there are two unique real solutions to the problem. There is only one actual solution to the equation if the discriminant is zero (called a double root). The equation may have two complex conjugate solutions (using the fictitious unit). if the discriminant is negative rather than having any real solutions. Several fields, including science, engineering, economics, and others, use quadratic equations.

The given equation is 4x² + 9 = 94

Simplifying the equation we have:

4x² = 85

x = ±√(85/4) = ±(√(85)/2)

Hence, the solutions to the quadratic equation 4x² + 9 = 94 are x = √(85)/2 and x = -√(85)/2.

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Answer:

#3

Step-by-step explanation:

bc

Answer:

a)4/10

b)5/100000000000೦

c)6

Answer:

55

Step-by-step explanation:

just divide 22 by 2 and then once you get your answer multiple that by 5

R-squared is calculated as the square of the linear correlation coefficient (r). In this case, the linear correlation coefficient is 0.817, so the R-squared can be calculated as follows:

R-squared = r^2 = 0.817^2 = 0.67

R-squared measures the proportion of variation in the dependent variable that is explained by the independent variable in a regression analysis. A value of R-squared close to 1 indicates that a large proportion of the variation in the dependent variable is explained by the independent variable, while a value close to 0 indicates the opposite.

In this case, a value of 0.67 for R-squared indicates that 67% of the variation in the dependent variable is explained by the independent variable, while the remaining 33% is unexplained.

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Relativistic effects are not easily noticeable because they require speeds close to the speed of light. A difference of 0.16% can only be detected at around 0.5% of the speed of light.

Relativistic effects arise from the theory of relativity, which describes how physical phenomena change when objects approach the speed of light. However, these effects are not readily apparent in our everyday experiences because they become noticeable only at incredibly high speeds. To put it into perspective, a speed of 0.5% of the speed of light is required to observe a difference of 0.16%. This means that significant relativistic effects manifest only when objects are moving at a substantial fraction of the speed of light.

The reason for this is rooted in the theory of special relativity, which predicts that as an object's velocity approaches the speed of light (denoted as "c"), time dilation and length contraction occur. Time dilation refers to the phenomenon where time appears to slow down for a moving object relative to a stationary observer. Length contraction, on the other hand, describes the shortening of an object's length as it moves at relativistic speeds.

At everyday speeds, such as those we encounter in our daily lives, the relativistic effects are minuscule and practically indistinguishable. However, as an object accelerates and approaches a substantial fraction of the speed of light, the relativistic effects become more pronounced. To notice a mere 0.16% difference, a speed of approximately 0.5% of the speed of light is necessary.

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The largest possible area of such a trapezoid rounded down to the nearest integer is  108.

The two parallel facets are the bases, and top, as constantly, is the perpendicular distance from one base to the opposite. The place of this parallelogram is its peak (half-peak of the trapezoid instances its base

Area of a trapezoid is = 1/2 * sum of the two parallel side * height

                                    =  1/2 * (12 + 10 ) * 8

                                    =  88

Area of a trapezoid is = 1/2 * sum of the two parallel side * height

                                    =  1/2 * (12 + 8) * 10

                                    = 100

Area of a trapezoid is = 1/2 * sum of the two parallel side * height

                                    =  1/2 * (8+ 10 ) * 12

                                    =  108

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Answer:

8/5

Step-by-step explanation:

To find the slope of the tangent line to the parabola y=4x²+7x+2 at the point (-5,67), we need to find the derivative of the function y=4x²+7x+2, and evaluate it at x=-5.

The derivative of the function y=4x²+7x+2 can be found by applying the power rule and the constant multiple rule of differentiation. Thus, we have:

y' = d/dx (4x²+7x+2) = 8x+7

To find the slope of the tangent line at the point (-5,67), we evaluate the derivative at x=-5:

y'(-5) = 8(-5)+7 = -33

Therefore, the slope of the tangent line is -33. To find the y-intercept of the line, we substitute the point (-5,67) and the slope (-33) into the equation y=mx+ b and solve for b:

67 = (-33)(-5) + b

b = -202

Therefore, the equation of the tangent line is y=-33x-202.

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The expressions when simplified are -9 - 2i and x = ±8i

From the question, we have the following parameters that can be used in our computation:

(6 -7i) - (8 - 5i) - 7

When evaluated, we have

(6 -7i) - (8 - 5i) - 7 = -9 - 2i

Here, we have

6x² = -384

Divide by 6

x² = -64

Take the square roots

x = ±8i

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Answer:

The answer is "Option C"

Step-by-step explanation:

Please find the complete question in the attached file.

In this question its value of P is 0.0644, the significance level is higher than 0.05. Which doesn't reject \(H_o\),

Answer: C

Step-by-step explanation: EDGE 2022

Answer:

29 hours X $9.45 = 274.05

Step-by-step explanation:

29X9.45= 274.05

Answer:

$274.05 is her gross pay for the week.

Step-by-step explanation:

$9.45 × 29 hours = $274.05

Answer:

x=3

Step-by-step explanation:

The statement "you should never buy a product from a good salesman" is a subjective statement and cannot be answered as true or false universally.

It depends on various factors such as the product being sold, the sales tactics used by the salesman, and the individual's personal preferences and needs. A good salesman may provide useful information about the product and help the individual make an informed decision, while a bad salesman may use deceitful tactics to pressure the individual into buying something they don't need.

Therefore, it is important to evaluate each situation individually and make a decision based on the specific circumstances.

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The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

This is an example of a sample survey or a sampling method.

Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.

In the given scenario, you are conducting a sample survey to determine the proportion of each color of Peanut Butter M&Ms. A sample survey is a method used to collect data from a subset of a larger population in order to make inferences about the entire population.

Instead of counting every single Peanut Butter M&M in existence, which would be impractical and time-consuming, you decide to take a smaller representative sample. You purchase 10 packages of Peanut Butter M&Ms, each weighing 1.69 ounces, and count the number of M&Ms of each color in those packages.

By analyzing the data collected from this sample, you can estimate the proportion of each color of Peanut Butter M&Ms in the larger population. This approach is more feasible and provides a reasonable approximation of the overall distribution of colors without having to examine every individual item.

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Based on the given simple statements, "The scroll is open" and "The writings are visible," we can determine which compound statements would also be true.

The scroll is not open or the writings are visible.

This compound statement would be true. Since the first simple statement states that the scroll is open, the negation of this statement would be that the scroll is not open. The second simple statement states that the writings are visible, which aligns with this compound statement. Therefore, this compound statement is true.

The scroll is open or the writings are not visible.

This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, the second part of this compound statement contradicts the given information.

The scroll is open or the writings are visible.

This compound statement would be true. It directly matches the given simple statements, where both the scroll being open and the writings being visible are mentioned. Therefore, this compound statement is true.

The scroll is not open or the writings are not visible.

This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, neither part of this compound statement aligns with the given information.

The compound statements that would be true are:

The scroll is not open or the writings are visible.

The scroll is open or the writings are visible.

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Answer: 1 x 10^3

Step-by-step explanation:

Answer:

8.31

Step-by-step explanation:

-6n² = -414

[take away negative]

6n² = 414

[divide by 6]

n² = 69

n = 8.3066 (to 5 significant figures)

n = 8.31 (to 3 significant figures)

Answer:

polynomial is -1

so answer is-1

The length of the shorter leg is 2.53 feet and the length of the longer leg is 6.53 feet

From the question, we have the following dimensions

Hypotenuse = 7 feet

One leg = 4 feet longer than the other

This means that

x = 4 + y

h = 7

Where x and y are the dimensions

The hypotenuse of a right triangle is

h^2 = x^2 + y^2

Substitute the known values in the above equation

So, we have the following equation

(4+ y)^2 + y^2 = 7^2

Evaluate

16 + 8y + y^2 + y^2 = 49

So, we have

2y^2 + 8y - 33 = 0

Using a graphing tool, we have

y = 2.53

Substitute y = 2.53 in x = y + 4

x = 2.53 + 4

Evaluate

x = 6.53

Hence, the legs of the triangle are 2.53 and 6.53

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Assuming the bags are filled at a constant rate, the average time it takes to fill one bag of leaves is 5 minutes.

To calculate the average time it takes to fill one bag of leaves, we need to know the total amount of time spent filling bags and divide that by the number of bags filled.

First, we know that the staff works an average of six hours per day. Since mowing and raking typically take four hours, we can assume that the remaining two hours are spent filling bags.

To find out how long it takes to fill one bag, we divide the total time spent filling bags by the number of bags filled. In this case, it would be:

(2 hours) / (24 bags) = 0.083 hours (or 5 minutes)

So the average time it takes to fill one bag of leaves is 5 minutes.

It's important to note that this is an average time and may not reflect the exact time it takes for each bag to be filled. Factors such as the size of the bag, the type of leaves being filled, and the skill level of the staff could all affect the time it takes to fill a bag.

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Answer:

Step-by-step explanation:

Irrational numbers

This means all numbers that cannot be expressed as a simple fraction they are a set of special numbers

1. Integers are number from 1,2,3 to infinity plus their negatives also, hence the list is endless

2. Rational numbers are numbers that exist from the division of two numbers example 7/5 this is a fraction in which 7 is the numerator and 5 is denominator

3. Natural numbers, all positive counting numbers the list is also endless

According to the sigma factor, the gene encoding sigma-32 states that Genes usually unregulated by heat shock will be less responsive to heat treatment.

Sigma factor:

Sigma factor defines that a detachable polypeptide subunit of RNA polymerase that facilitates the initiation of transcription by recognizing specific DNA promoter sites.

Given,

Sigma-32 is a sigma factor, which mediates response to heat shock. What is the most likely effect in an e. Coli strain.

Here we need to determine in which has a mutation in the gene encoding sigma-32.

While we looking into the given question, Sigma-32 is a sigma factor, which mediates response to heat shock.

Basically, the genes  usually unregulated by heat shock will be less responsive to heat treatment.

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The simplified expression is equal to 2/3.

        2m⁰ * n⁶ / (3n⁵)

       2 * n⁶ / (3n⁵)

        2 * n / (3n) = 2/3

So the simplified expression is equal to 2/3.

The rules of arithmetic and exponentiation that I used to simplify the expression are general mathematical principles that are applicable to many mathematical problems. However, the specific techniques for simplifying an expression will depend on the particular expression and the context in which it is being used.

For example, there might be additional rules or simplification techniques that are specific to a particular field of mathematics, such as algebra, calculus, or geometry. In these cases, it's important to understand the specific rules and techniques that apply to the problem at hand in order to simplify an expression effectively.

In general, the goal of simplifying an expression is to make it easier to understand and manipulate mathematically, either for further calculations or for understanding the relationships between the variables involved.

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Answer:

120 km/h.

Step-by-step explanation:

480 km / 4h

Divide top and bottom by 4 to get the desired km/h.

We have 120 km/h.

Hope this helps!

Using the formula for the population growth with given value of rate and the condition for the population to reach, The answer is 87 years.

The country, territory, or geographic area's yearly average rate of change in population size over a certain time period. It expresses the proportion, usually multiplied by 100, between the annual growth in population size and the total population for that year.

The rise in the number of people on Earth is referred to as population growth. The majority of human history saw a relatively steady population size. Energy, food, water, and medical care, however, became more accessible and dependable as a result of innovation and industrialization.

rate = 0.8%

\(2P = P * (1 + \frac {0.8}{100})^{n}\)

\(2= (1.008)^{n}\)

n=86.98 years

approximately 87 years.

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