What is the solution to this equation?
6x +4= 42 – 2
Enter your answer in the box.
X=

Answer:

b = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - 2 , then

y = - 2x + b ← is the partial equation

To find b substitute (5, - 7 ) into the partial equation

- 7 = - 10 + b ⇒ b = - 7 + 10 = 3

The required bearing angle of town B from Thomas is 75°.

We have,

Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.

Given that

Thomas is facing towards town A, which is at a bearing of 300°.

Implies that town A is 300° from north.

If Thomas turns 135° clockwise, then he faces towards town B,

The bearing angle will be 300+135 = 435°

Since, one complete round makes angle 360°, therefore

The required bearing angle = 435 - 360 = 75

The bearing angle of town B from Thomas is 75°.

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The correct answer is:

(a) about 4% of the variation in y has been explained by the model.

The answer is (a) about 4% of the variation in y has been explained by the model.

The coefficient of determination (R-squared) is given as 0.03579295, which represents the proportion of the total variation in the dependent variable (calculus achievement scores) that is explained by the independent variable (algebra placement test scores) in the model.

Since R-squared is the square of the correlation coefficient (multiple R), we can also interpret the value of multiple R as the correlation between the two variables. In this case, multiple R is given as 0.18919025, indicating a weak positive correlation between the two variables.

The adjusted R-squared is negative (-0.2856094), which suggests that the model is not a good fit for the data. However, the question specifically asks for the proportion of variation in the dependent variable that is explained by the model, which is represented by R-squared. Therefore, the answer is (a) about 4% of the variation in y has been explained by the model.

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The true statements are:

A. The graph of function f(x) = -√(√(√x)) will look like the graph of f(x)=√x but will reflect it about the x-axis and shrink it vertically by a factor of 1/2.

D. f(x) = √x has the same domain but a different range as f(x) = -√x.

A graph is a visual representation of a mathematical relationship or data. It consists of points or vertices connected by edges or lines to show the relationship between them.

A function is a mathematical concept that relates an input value to an output value, such that for each input, there is exactly one output. It can be represented as a set of ordered pairs, a graph, or an equation.

According to the given information:

A. The statement A is true. The graph of function f(x) = -√(√(√x)) is a transformation of the function f(x) = √x. The negative sign outside the square roots will reflect the graph of f(x) = √x about the x-axis, and the multiple square roots will shrink the graph vertically by a factor of 1/2.

B. The statement B is false. The graph of function f(x) = -√(√x) is also a transformation of the function f(x) = √x, but it will only reflect the graph about the x-axis. It will not shrink the graph vertically.

C. The statement C is false. The graph of function |f(x)| = √(√(√x)) is not a transformation of f(x) = √x. The absolute value bars will make the graph symmetric about the y-axis, but it will not shrink it horizontally.

D. The statement is true. The graph of function f(x) = √x and f(x) = sqrt(x) are equivalent, and have the same domain (all non-negative real numbers) but different ranges. The range of f(x) = √x is [0, infinity) while the range of f(x) = sqrt(x) is (0, infinity).

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Solution

For this case we have the following function

and we know that the only point of discontinuity is x=0 and then the answer is:

The function has infinite discontinuity

Answer: Evaluate! To solve your equation using the Equation Solver, type in your equation like x+4=5. The solver will then show you the steps to help you learn how to solve it on your own.

Step-by-step explanation:

Answer:

a=14

Step-by-step explanation:

7*7=49

2*7=14

Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

The correct answer is option b) 25.2 ml/kg/min.The relative VO2max is a measure of maximal oxygen consumption adjusted for body weight. To calculate it, we need to convert Christina's weight from pounds to kilograms and then divide her absolute VO2max (in liters per minute) by her body weight in kilograms.

Given that Christina weighs 122 pounds, we can convert it to kilograms by dividing by 2.2046 (1 pound = 0.4536 kilograms). Therefore, her weight is approximately 55.45 kilograms.

Next, we divide her absolute VO2max of 1.4 L/min by her body weight of 55.45 kilograms. The result is approximately 0.0252 L/kg/min.

To convert liters to milliliters, we multiply by 1000. Therefore, Christina's relative VO2max is approximately 25.2 ml/kg/min.

Therefore, the correct answer is option b) 25.2 ml/kg/min.

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Answer:

D

Step-by-step explanation:

E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.

Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.

Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.


When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.

To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.

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Interest to be paid daily is $8.68 (E).

To calculate the daily interest, we can use the formula:

Daily Interest = Principal × Interest Rate / Number of Days in a Year

Given that the principal amount is $35,000, the interest rate is 9.05%, and the number of days in a year is 365, we can substitute these values into the formula:

Daily Interest = $35,000 × 9.05% / 365

Calculating this expression gives us:

Daily Interest ≈ $8.68

Therefore, the correct answer is D) $8.68.

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The value of c: -0.0018.

We first find the derivative of f(x) using the product and chain rule:

f(x) = cx ln(cos(x))

f'(x) = c ln(cos(x)) + cx * (-sin(x)/cos(x))

f'(x) = c ln(cos(x)) - cx tan(x)

Then we can find the fourth derivative:

\(f''''(x) = c * (- 2sec^4(x) - 16sin^2(x)sec^2(x) + 12sin^4(x)sec^2(x)) - cx * (24sin^3(x)/cos^3(x) + 12sin(x)/cos(x))\)

Now we evaluate the fourth derivative at x = 4:

\(f''''(4) = c * (- 2sec^4(4) - 16sin^2(4)sec^2(4) + 12sin^4(4)sec^2(4)) - c*4 * (24sin^3(4)/cos^3(4) + 12sin(4)/cos(4))\)

We set this equal to 7 and solve for c:

\(7 = c * (- 2sec^4(4) - 16sin^2(4)sec^2(4) + 12sin^4(4)sec^2(4)) - c*4 * (24sin^3(4)/cos^3(4) + 12sin(4)/cos(4))\)

Using a calculator, we find that the value of c that satisfies this equation is approximately -0.0018.

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Answer:

A

Step-by-step explanation:

The most important component when reporting a numerical scientific result is the unit.

This is further explained below.

Generally, Our work in numerical and scientific computing includes the creation, analysis, and implementation of computer algorithms with the purpose of finding mathematical solutions to issues originating in engineering and the sciences.

In conclusion, When presenting a numerical result from scientific research, the unit is the single most crucial component.

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In binary arithmetic, the 2's complement is a method used to represent signed numbers. It involves taking the complement of a number and adding 1 to it.

1. This approach allows for efficient representation of both positive and negative integers. By using the 2's complement, subtraction operations can be performed by adding numbers in binary form. Additionally, the 2's complement allows for easy comparison of signed numbers. Understanding and using the 2's complement is crucial in binary arithmetic and computer systems that work with signed integers.

2. The 2's complement is a mathematical technique used to represent signed numbers in binary form. In this method, positive numbers are represented directly in binary form, while negative numbers are represented by taking the complement of their positive counterpart and adding 1 to the result. This allows for efficient representation of both positive and negative integers using the same binary system.

3. One of the main advantages of using the 2's complement is that subtraction operations can be performed by simply adding numbers. To subtract one number from another, the 2's complement of the subtrahend (the number being subtracted) is calculated and added to the minuend (the number from which the subtrahend is subtracted). This eliminates the need for a separate subtraction operation and simplifies the arithmetic process.

4. Furthermore, the 2's complement allows for easy comparison of signed numbers. By comparing the binary representation of two numbers, it can be determined which one is greater or whether they are equal. This is particularly useful in computer systems where comparisons are frequently performed, such as in sorting algorithms or conditional statements.

5. Understanding and using the 2's complement is essential in binary arithmetic and in computer systems that work with signed integers. It enables efficient representation of positive and negative numbers, simplifies subtraction operations, and facilitates comparisons between signed numbers. Mastery of the 2's complement is crucial for anyone working with binary arithmetic or involved in computer programming and digital logic design.

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The number of pieces that she can cut from a ball of string that is 100 feet is ,49 pieces.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both

It's important to note that 1 feet = 12 inches.

Therefore, 100 feet will be:

= 100 × 12

= 1200 inches.

Carla is cutting pieces of string that are exactly 24.3 inches long. The number that can be cut will be:

= 1200 / 24.3

= 49

There'll be 49 pieces.

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Answer: C=2πr

Step-by-step explanation:

Answer:

9 cm.

Step-by-step explanation:

We are given that the area of a circle is 81π cm2. 81 π c m 2 . Hence the radius of the given circle is 9 cm.

Answer:

lesser x =-4

greater x =1/2

The formula for converting a temperature value from degrees Fahrenheit (F) to Kelvin (K) is as follows: K = (F - 32) × 5/9 + 273.15 .

In this formula, the first step is to subtract 32 from the Fahrenheit temperature to get the temperature difference in degrees. Then, this temperature difference is multiplied by 5/9 to convert it to degrees Celsius, which is the base unit for the Kelvin scale. Finally, 273.15 is added to the Celsius temperature to obtain the equivalent temperature in Kelvin.

The formula for converting a temperature value from degrees Fahrenheit (F) to Kelvin (K) is as follows: K = (F - 32) × 5/9 + 273.15 .

The formula can be simplified to K = (F + 459.67) × 5/9, by using the fact that the freezing point of water in Fahrenheit is 32°F and in Kelvin it is 273.15 K.

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The given equation is x(x−3)÷8= 4/x−3 . By simplifying and rearranging the equation, we find that x=6 is the solution.

To solve the equation, we start by multiplying both sides of the equation by 8 to eliminate the denominator, resulting in x(x−3)=2(x−3). Expanding the equation, we get x ^2−3x=2x−6.

Next, we combine like terms by moving all terms to one side of the equation, which gives us x ^2−3x−2x+6=0. Simplifying further, we have

x^2−5x+6=0.

To solve this quadratic equation, we can factor it as (x−2)(x−3)=0. By applying the zero product property, we find two possible solutions: x=2 and x=3.

However, we need to check if these solutions satisfy the original equation. Substituting x=2 into the equation gives us 2(2−3)÷8=

2−3/4, which simplifies to -1/8 = -1/4 . Since this is not true, we discard x=2 as a solution. Substituting x=3 into the equation gives us  3(3−3)÷8=

3−3/4​ , which simplifies to 0=0. This is true, so x=3 is the valid solution.

Therefore, the solution to the equation is x=3.

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Answer:

900.8

Step-by-step explanation:

hope this helps:)

Answer:

2 blocks

Step-by-step explanation:

if you go from zero to -3 on the number line and then go to the right by 5 units, you wind up at 2

Answer:

a=3, b=12, c=13

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: immy is selling used books at a yard sale. A customer buys 9 books at a cost of $0.75 each and pays with a $20.00 bill. Jimmy must determine c, the amount of change in dollars he should give the customer. Which equation represents c?

20 minus 0.75 c = 9

20 minus 0.75 = 9 c

0.75 (9) + c = 20

0.75 c + 9 = 20

C / 0.75 (9) + c = 20

Step-by-step explanation:

To find your change, first you must determine how much the customer is paying. To find this, you must multiply the cost of one book by the number of books bought.

The formula for calculating the time for which gloves should be changed is: Hours of Use x Frequency of Change = Total Time.

For example, if gloves are used for one hour and need to be changed every two hours, the calculation would be: 1 hour x 2 changes = 2 hours. In this example, the gloves should be changed every two hours, regardless of their condition. Therefore, it is recommended that gloves be changed after two hours of use, regardless of their condition.The recommended interval for changing gloves depends on several factors, such as the type of activity, the environment, and the health risks associated with the activity. Generally, it is recommended to change gloves at least once every two hours, regardless of their condition. This is a precautionary measure to prevent the spread of germs and to reduce the risk of infection. To calculate this, consider the amount of time a glove is worn per hour (for example, 1 hour) multiplied by the recommended glove change interval (2 hours). Thus, the recommended period for changing gloves is 2 hours.

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5