please help
Solve the equation. 5( 3x - 2 ) - 7 = 23

We can represent 0.614 using only 5 tenths as \(\mathbf{\dfrac{6.14}{10}}\)

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

The accepted method for representing both integer and non-integer numbers is the decimal number system.

From the given information, we are to represent 0.614 by using only 5 tenths.

Representing 0.614 in the same form, we have:

\(\mathbf{=\dfrac{0.614\times 1000}{1\times 1000}}\)

\(\mathbf{=\dfrac{614}{1000}}\)

\(\mathbf{=\dfrac{6.14}{10}}\)

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Answer: 6.14/10

Step-by-step explanation:

Answer:

the answer is C

(5+3i)-(2+9i) = 3-6i

Answer:

C. 3 - 6i

Step-by-step explanation:

Answer:

A. coefficient

Step-by-step explanation:

A coefficient is any number before a variable and multiplying with it. For example, 7t. 7 is the coefficient and t is the variable.

Answer:do your self it is easy

Answer:

The number series 2, 4, 6, 8, 10, 12, . . . . , 80. Therefore, 1640 is the sum of first 40 even numbers.......Sep 23, 2018

PLS MARK BRAINLIEST

Step-by-step explanation:

Answer: ABCD is a parallelogram because if one pair of opposite sides of a quadrilateral are both congruent and parallel, the quadrilateral is a parallelogram. AE ≅ CE because the diagonals of a parallelogram bisect each other.

Step-by-step explanation:

Answer:

1.A. The number chosen is odd number

2.D. Drawing a number card

3.F. The ball is not white

Step-by-step explanation:

SANA NAKATULONG PO ITO

CORRECT ME IF I WRONG

Answer:

1a. 1/2             3e. 4/15

1b. 1/10             3f. 1

2c.

2d.

Step-by-step explanation:

just do it that way

The probability that the coin will show tails and the cube will show a three, four, or six is 1/4.

The probability of two independent events occurring, we multiply their individual probabilities.

Let's start by determining the probability of the coin showing tails.

Since it is a fair coin, there are two equally likely outcomes: heads or tails.

The probability of the coin showing tails is 1/2.

Next, we consider the number cube.

It is a standard six-sided die, and we want to find the probability of rolling a three, four, or six.

Out of the six possible outcomes (numbers 1 to 6), three of them satisfy our condition (3, 4, and 6).

The probability of rolling a three, four, or six is 3/6 or 1/2.

Now, we can find the probability of both events occurring by multiplying the probabilities together:

P(Tails and 3, 4, or 6) = P(Tails) × P(3, 4, or 6)

= 1/2 × 1/2

= 1/4

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The solutions of \(\log_3x + \log_3(x^2 + 2) = 1 + 2\log_3x\) can be calculated using the logarithm rule.

The solution of \(\log_3x + \log_3(x^2 + 2) = 1 + 2\log_3x\)  is \(x=2\) and \(x=1\).

Given:

The expression is,

\(\log_3x + \log_3(x^2 + 2) = 1 + 2\log_3x\)

The logarithm is the inverse function of exponentiation. In logarithm base must be raised to yield a given number for an exponent. The following rule will use solve the given problem.

Apply the above rule to solve the given problem.

\(\log_3x(x^2+2)=\log_33+\log_3x^2\\ \log_3x(x^2+2)=\log_33x^2\\ x(x^2+2)=3x^2\)

Now, solve the above algebraic expression,

\(x^2-3x+2=0\\ x^2-2x-x+2=0\\ x(x-2)-1(x-2)=0\\ (x-2)(x-1)=0\)

Thus, the solution of \(\log_3x + \log_3(x^2 + 2) = 1 + 2\log_3x\)  is \(x=2\) and \(x=1\).

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Answer:

C and D. Your welcome

Step-by-step explanation:

The function that have a zero at x = 4  are

The first function is

f(x) = -2x^2 - 18x - 40

Substitute the value of x = 4

f(4) = -2(4)^2 - 18(4) - 40

= -2(16) - 72 - 40

= -32 - 72 - 40

= -144

The result is not zero

The second function is

f(x) = 2x^2 - 11x + 12

f(4) = 2(4)^2 - 11(4) +12

= 32 - 44 + 12

= 0

The result is zero

The third function is

f(x) = 3x^3 + x^2 - 48x - 16

f(4) = 3(4)^3 + 4^2 - 48(4) - 16

= 192 + 16 - 192 - 16

= 0

The result is zero

The fourth function is

f(x) = x^2 - 3x - 28

f(4) = 4^2 - 3(4) - 28

= 16 - 12 - 28

= -24

The fifth function is

f(x) = x^3 - 4x^2 - x + 4

f(4) = 4^3 - 4(4)^2 - 4 + 4

= 64 - 64 - 4 + 4

= 0

Therefore, the function f(x) = 2x^2 - 11x + 12, f(x) = 3x^3 + x^2 - 48x - 16 and  f(x) = x^3 - 4x^2 - x + 4 have zero at x equals 4

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B. The mean does not represent the center because it is the largest data value.


The statement suggests that the mean represents the center of the data. However, this is incorrect. The mean is a measure of central tendency that represents the average value of a set of data points. It is obtained by summing all the data values and dividing by the number of data points. The mean can be influenced by extreme values, such as outliers or extremely large or small values.

In this case, option B states that the mean does not represent the center because it is the largest data value. This option is correct because the mean cannot be the largest data value since it represents the average of all the data points. The mean can be affected by extreme values, but it is not necessarily the largest or smallest value in the data set.

To determine the center of the data, it is more appropriate to consider the median, which is the middle value when the data set is arranged in ascending or descending order. The median represents the exact center of the data distribution and is not influenced by extreme values as much as the mean.

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Answer:

2 \(\frac{2}{3}\) \(in^{2}\)

Step-by-step explanation:

Answer:

339.3 cubic inches

Step-by-step explanation:

SA (cyl) = 2πr² + 2πrh

SA = 2(3²)π + 2(3)(15)π

SA = 18π + 90π

SA = 108π

SA ≈ 339.3 in³

Answer: 22.50

Step-by-step explanation:

Answer:$127.50

Step-by-step explanation:

15 percent of 150 is $22.50 so subtract that $22.50 from $150

Answer:

first blank: 13

2nd/3rd blank:14/13

4th blank: 13

5th/6th blank: 14/13

7th blank: 42

Step-by-step explanation:

From the first line to the second you need to add

4/7x + 5/14x

Times 2 on the top and bottom of 4/7 to make it be 8/14.

then you can add:

8/14x + 5/14x

Keep the 14 on the bottom, add the tops. 8+5 is 13

= 13/14x

The 13 on top is the first fill in.

To solve for x you can multiply by the reciprocal of 13/14 (just flip it over)

14/13 is the blank/blank on both sides of the equal sign in front of the parenthesis.

The blank over 14 is 13, the same as the first answer.

The 14/13 × 13/14x

just leaves x on the left in the last line of the equation.

On the right, you have

14/13 × 39

You can divide the 39/13 to get 3. The problem becomes

14 × 3

= 42 This is the last fill in.

13/14 x = 39

14/13(13/14x)=14/13(39)

x = 42

The probability that m balls is P(m balls in first compartment) = (nCm) * ((n-1)^(n-m)) / (n^n).

The total number of possible arrangements of distributing n balls into n compartments is given by n^n. Each ball has n choices for which compartment to fall into, and since there are n balls, we multiply n by itself n times.

Now, let's consider the number of ways m balls can fall into the first compartment. We can choose m balls out of the n balls to go into the first compartment in nCm ways, which is the binomial coefficient.

The remaining (n-m) balls can go into any of the remaining (n-1) compartments in (n-1)^(n-m) ways. Therefore, the probability that m balls will fall into the first compartment is given by:

P(m balls in first compartment) = (nCm) * ((n-1)^(n-m)) / (n^n)

This formula calculates the ratio of favorable outcomes (m balls in the first compartment) to the total number of possible outcomes (all possible arrangements of distributing n balls into n compartments).

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Answer:22

Step-by-step explanation:

10x2+1x2=

20+2

=22

\(\huge\textsf{Hey there!}\)

\(\huge\text{10(2) + 1(2)}\)

\(\huge\text{= 10 + 10 + 1 + 1}\)

\(\huge\text{= 20 + 1 + 1}\)

\(\huge\text{= 21 + 1}\)

\(\huge\text{= 22}\)

\(\huge\textsf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{22}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

not possible or not determined is answer

Step-by-step explanation:

because let his father be 33

ad his son be 17

15 years ago

son will be 2

and father will be 18

not possible father's age ≠son's age in any respect unless and until father's age is decreased

Answer:

A

Step-by-step explanation:

rise/run, so the slope would be 3/2, but since the graph is a negative it would be -3/2

and the y-intercept is 130

The "-N" parameter is a useful option for quickly viewing information about unmounted file systems with the fsck command.

The fsck command is a powerful tool for checking and repairing file systems in Unix-like operating systems, including Linux. One of the useful features of the fsck command is the ability to view information about unmounted filesystems without actually making any changes to them. This can be helpful in situations where you want to check the health of a filesystem or diagnose issues without risking data loss.

To view the list of unmounted filesystems using the fsck command, you can use the "-N" or "--no-action" parameter. This parameter tells fsck to only show what it would do if it were run without actually making any changes to the filesystem.

For example, suppose you have a hard drive with several partitions, some of which are unmounted. To view a list of the unmounted filesystems on the hard drive, you could run the following command:

sudo fsck -N /dev/sda

In this command, "/dev/sda" refers to the entire hard drive. The "-N" parameter tells fsck to only simulate a check on the filesystem without actually making any changes. As a result, fsck will display a summary of each unmounted filesystem on the hard drive, including its type, size, and location.

Overall, the "-N" parameter is a useful option for quickly viewing information about unmounted filesystems with the fsck command. Whether you're troubleshooting a system issue or performing routine maintenance, this option can help you identify potential problems before they escalate into more serious issues.

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The bowl of diameter holds 56.52 cubic inches as its diameter is 6 inches.

To find out the cubic inches in the bowl we should use the volume of the hemisphere formula, which is (2/3)πr³, where r is the radius of the sphere. The radius of the bowl is 3 inches because it has a diameter of 6 inches. (half of the diameter). Substituting the radius value into the formula yields:

Bowl volume = (2/3)π(3)³ cubic inch

= (2/3)π(27) cubic inch

= 56.52 cubic inch (rounded to the nearest integer)

As a result, the bowl's volume is approximately 56.52 cubic inches.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

3x - 9 ===> A

x + 13 ===> C

5y ====> B

Step 02:

We must apply the properties of triangles.

x + 13 = 5y eq.1

3x - 9 = x + 13 eq.2

eq .2

3x - 9 = x + 13

3x + x = 13 + 9

4x = 22

x = 22/4 = 11 / 2

eq. 1

x + 13 = 5 y

The answer is:

x = 11 / 2

y = 37 / 10

Here are the steps in solving the value of x in the equation.

1. Subtract 4 on both sides of the equation.

2. Divide both sides of the equation by 9.

3. By definition of natural logarithm:

We can rewrite ln x = 1.3111 as:

Therefore, the value of x is 3.71. (Option D).

The rate of change of the area of the triangle at the given instant is 4 cm²/s. Thus, the correct answer is (B) 4. The rate of change of the area of the triangle can be determined using the formula for the area of a triangle, which is A = (1/2) * base * height.

We are given that the base is increasing at a constant rate of 2 cm/s and the height is decreasing at a rate of 1 cm/s.

At the instant when the height is 5 cm and the area is 5 cm², we can substitute these values into the formula to solve for the rate of change of the area. Let's denote the rate of change of the area as dA/dt.

A = (1/2) * base * height

5 = (1/2) * base * 5

Simplifying the equation, we have:

base = 2

Now, we can differentiate both sides of the equation with respect to time (t):

dA/dt = (1/2) * (dbase/dt) * height + (1/2) * base * (dheight/dt)

Substituting the given rates of change:

dA/dt = (1/2) * (2 cm/s) * 5 cm + (1/2) * 2 cm * (-1 cm/s)

Simplifying further:

dA/dt = 5 cm^2/s - 1 cm^2/s

dA/dt = 4 cm^2/s

Therefore, the rate of change of the area of the triangle at the given instant is 4 cm^2/s. Thus, the correct answer is (B) 4.

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Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Answer:

Step-by-step explanation:

First, plot the graph of each function.

Then look for intersection of the two graphs.

Last, take the coordinates of intersection points, these are the solution.

See the attached.

Answer:

75.006

Step-by-step explanation:

The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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