You received your monthly bank statement and you are reconciling your account balance using the information below. What is the true balance of your checking account? Check Register Balance $314.97 Bank Statement Balance $423.68 Outstanding Checks $123.71 Service Charge $15.00

Answer:

3

Step-by-step explanation:

| 6-3|

Find the value inside the absolute value signs

6-3 = 3

| 3|

Means take the non negative value

|3| = 3

Answer:

3

Step-by-step explanation:

Well absolute value means turn the negative into a positive so,

|6-3|

|3|

= 3

Thus,

the answer is 3.

Hope this helps :)

Answer:

d = 4

Step-by-step explanation:

C = 2*pi r or C = pi * d

Area = pi *r^2= pi (d/2)^2 = pi * d^2  /4

So if they are numerically equal, you get

pi * d = pi * d^2 / 4           Divide both sides by pi

d = d^2 / 4                        Multiply both sides by 4

4*d = d^2                          Divide both sides by d

4 = d

Hey there! Hola!

Let's find the square root of 64:

\(\sqrt{64}\)

Basically, what number times itself equals 64? that's the answer.

That number is 8.

Hence, the square root of 64 is 8.

La raiz cuadrada de 64 es 8.

Hope everything is clear.

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\(\tt{Amiable}\)

Answer:

30 Nickels and 188 Pennies

Step-by-step explanation:

okay, so to set up the equation first, we have to assign each coin a variable, let's call them p and n:

P= number of pennies

N= number of nickels

the value of a penny is 1 cent, so 1P, and the value of a nickel is 5 cents, so 5N

The problem states that he has 218 coins, meaning that the total number of pennies and nickels adds up to 218:

P + N = 218

the total value of the coins is $3.38, so that would mean that 1P + 5N has to equal $3.38:

1P + 5N = 338

Okay, so now that we have our equations let's solve them using elimination:

we have to get a common coefficient between both equations, so let's multiply our first equation by 5:

P x 5 = 5P

N x 5 = 5N

218 x 5 = 1090

so, now we can solve by elimination:

5P + 5N = 1090

1P + 5N = 338

the N's cancel out:

4P = 752

divide both sides by 4:

P = 188

okay, so if theres a total of 218 coins, subtract 188 from 218:

218 - 188 = 30

so, there are 30 nickels and 188 pennies.

check our work:

5 x 30 = 150

1 × 188 = 188

150 + 188 = 338

338 = 338

I hope this helps! :)

The value of \(log_35 \times log_{25}9\) is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(log_35 \times log_{25}9\)

\(log_ab = \frac{logb}{loga}\)

So,

= log 5 / log 3 x log 9 / log 25

= log 5 / log 3 x log 3² / log 5²

\(logm^n = n~logm\)

So,

= log 5 / log 3 x log 3² / log 5²

= (log 5 / log 3) x (2 log 3 / 2 log 5)

= (log 5 / log 3) x (log 3 / log 5)

= 1

Thus,

1 is the value.

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\(\\ \sf\longmapsto 3x+5=6x-7\)

\(\\ \sf\longmapsto 6x-3x=5+7\)

\(\\ \sf\longmapsto 3x=12\)

\(\\ \sf\longmapsto x=4\)

Answer:

Step-by-step explanation:

We know that:

Given:

Solution:

Taking the "-7" on the LHS and the "3x" on the RHS:

Adding/Subtracting:

Dividing:

Now, let's substitute the value of x into the expression of SP.

Hence, the measure of SP is 17 units.

You have some data points labeled by \(x\). They form the set {3, 5, 7}.

The mean, \(\bar x\), is the average of these values:

\(\bar x = \dfrac{3+5+7}3 = \dfrac{15}3 = 5\)

Then in the column labeled \(x-\bar x\), what you're doing is computing the difference between each data point \(x\) and the mean \(\bar x\):

\(x=3 \implies x-\bar x = 3 - 5 = -2\)

\(x=5 \implies x-\bar x = 5-5 = 0\)

\(x=7 \implies x-\bar x = 7 - 5 = 2\)

These are sometimes called "residuals".

In the next column, you square these values:

\(x=3 \implies (x-\bar x)^2 = (-2)^2 = 4\)

\(x=5 \implies (x-\bar x)^2 = 0^2 = 0\)

\(x=7 \implies (x-\bar x)^2 = 2^2 = 4\)

and the variance of the data is the sum of these so-called "squared residuals".

Answer: 220

Step-by-step explanation: 395-175=220

Answer:

e=570

Step-by-step explanation:

570-395=175

Given:

Point k is located on the y-axis 8 units away from the origin.

To find:

The coordinates of point k​.

Solution:

Since point k is located on the y-axis, therefore it means the x-coordinate is 0.

Point k is 8 units away from the origin. So, it can be either or positive or negative side of y-axis.

If k is on the negative side of y-axis then y-coordinate of point k is -8.

If k is on the positive side of y-axis then y-coordinate of point k is 8.

Therefore, the possible coordinates of point k are either (0,-8) or (0,8).

Answer:

It would cost Jeremy $66 for 6 CDs

Step-by-step explanation:

3 CDs for $33

3(2)=6

$33(2)=$66

Katrina practices violin per week more than Jeremy by 25 minutes.

The practice time can be determined by converting the fractional hours to minutes for each practice so that like is compared to like.

Converting 2/3 hours gives 40 minutes.

Ordinarily, Jeremy spends more time each time than Katrina.  However, Katrina adds an additional practice time, which heightens her total practice time each week.

The number of times that Katrina practices per week = 4 times

The time she practices each time = 2/3 hours or 40 minutes (2/3 x 60)

The total time she practices each week = 160 minutes (40 x 4)

The number of times that Jeremy practices per week = 3 times

The time he practices each time = 45 minutes or 3/4 hours

The total time he practices each week = 135 minutes (45 x 3)

The difference in practice time per week = 25 minutes (160 - 135)

                                                Katrina           Jeremy

Number of practices times         4                      3

Minutes practiced   (2/3 hours) 40 min    45 minutes

Total practice time                   160 min    135 min

Thus, we can conclude that Katrina practices violin per week more than Jeremy by 25 minutes.

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To compute the probability, we need to get first the total number of selected students in 12th grade. We have

Out of this number of 12th-grade students, 28 students prefer math. To get the probability, divide this number by the total number of students in 12th grade. We have

Answer: 0.412

Answer:

A. y=3.50x+1200

B. the y intercept in this calculation represents the initial cost before producing any t shirts.

C. The slope is representative of the cost per t shirt produced, where x in the equation is the amount of t shirts produced.

Step-by-step explanation:

Answer: here’s the answer!

Step-by-step explanation: hope this helps!

Answer:

x=10

Step-by-step explanation:

3(x-2)+4=28

3x-6+4=28

3x-2=28

3x=30

x=10

It's 8, it gave Y so pretty easy from there on

y = 4

y = 1/4 x + 2

______________

4 = 1/4 x + 2

4 - 2 = 1/4 x + 2 - 2

2 = 1/4 x

2 × 4 = 4 × ( 1/4 ) × x

x = 8

Thus the correctly answer is option D.

Answer:

A thesis statement is a claim

Step-by-step explanation:

The thesis statement is the sentence that states the main idea of a writing assignment and helps control the ideas within the paper. It is not merely a topic. It often reflects an opinion or judgment that a writer has made about a reading or personal experience. For instance: Tocqueville believed that the domestic role most women held in America was the role that gave them the most power, an idea that many would hotly dispute today.

Answer:

89.44

Step-by-step explanation:

\(120^2-80^2=8000\)

\(\sqrt{8000} = 89.44\)

Answer:

Step-by-step explanation:

Let T represent table and B represent bench. The garden table costs $62 less than the bench. T = B - 62. plug T = B - 62 into T + B = 788. B - 61 + B = 788. This gives us 425. B = 425.

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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Answer:

8)36

Step-by-step explanation:

78+66=144

180-144=36

9)63+86=149

180-149=31

180-31=149

10)180-(6+25x)=180-(44)-(18x-3)

x=5

11)35+2x+5+x-10=180

x=50

The equations x² = 9, x³ = 27, x³ = -27, and (-x)² = 9 all have -3 as a solution. A, C, D, and F

To determine which equations have -3 as a solution, we can substitute -3 for x in each equation and see if the equation holds true.

A. x² = 9

Substituting -3 for x:

(-3)² = 9

9 = 9

B. x² = -9

Substituting -3 for x:

(-3)² = -9

9 ≠ -9

C. x³ = 27

Substituting -3 for x:

(-3)³ = 27

-27 = 27

D. x³ = -27

Substituting -3 for x:

(-3)³ = -27

-27 = -27

E. -x² = 9

Substituting -3 for x:

-(-3)² = 9

-9 = 9

F. (-x)² = 9

Substituting -3 for x:

(-(-3))² = 9

9 = 9

From the above calculations, we can see that equations A, C, D, and F hold true when x is replaced with -3. Therefore, the equations for which -3 is a solution are A, C, D, and F.

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Answer: 10.5

Explanation: Please correct me if I'm wrong

The numerical value of x in angle ABD is 9 as angle ABC is divided into two equal halves.

An angle bisector divided an angle into two equal halves.

From the diagram:

Line BD divides angle ABC into two equal halves.

Angle ABD = ( 3x - 7 ) degrees

Angle DBC = 20 degrees

Since angle ABD and DBC are equal haves;

Angle ABD = Angle DBC

Plug in the values:

( 3x - 7 ) = 20

Solve for x:

3x - 7 = 20

Add 7 to both sides:

3x - 7 + 7 = 20 + 7

3x = 27

x = 27/3

x = 9

Therefore, the value of x is 9.

Option A)9 is the correct answer.

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The area of triangle PQR in this case is 14.924

In geometry, the concept of vectors is very useful when dealing with points, lines, and planes in three-dimensional space. Vectors have both magnitude and direction, and they can be added, subtracted, and multiplied by scalars.

To find a nonzero vector orthogonal to the plane through the points P, Q, and R, we can use the cross product of two vectors in the plane. A cross product of two vectors gives us a vector that is perpendicular to both of them, so it will be orthogonal to the plane as well.

Let's take the vectors from P to Q and from P to R as our two vectors:

u = Q - P = <5-3, 2-1, 4-1> = <2, 1, 3>

v = R - P = <8-3, 5-1, 3-1> = <5, 4, 2>

To calculate the cross product u x v, we can use the following formula:

u x v = <(1)(2) - (3)(4), (3)(5) - (1)(2), (1)(4) - (2)(5)> = <-10, 13, -2>

So the vector <-10, 13, -2> is orthogonal to the plane through P, Q, and R. Note that this vector is nonzero because at least one of its components is not zero.

To find the area of triangle PQR, we can use the fact that the area of a triangle is half the magnitude of the cross product of two of its sides. Let's take the sides from P to Q and from P to R again, and calculate their cross product:

u x v = <(3)(1) - (-6)(3), (-6)(2) - (3)(3), (3)(3) - (3)(2)> = <21, -21, 3>

So the vector <21, -21, 3> is orthogonal to the plane through P, Q, and R. Again, we can use the cross product of u and v to find the area of triangle PQR, which is:

|u x v| = sqrt(21^2 + (-21)^2 + 3^2) = √(891)

|u x v| = 1/2 * √(891) =14.924

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Answer:

A

Step-by-step explanation:

Because when you see X and Y, x multiplied by -6 is equal to y so if you check -84/-6, your correct answer should be 14 also A, hopefully this gave you the explanation you were looking for!!!!!!!!

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

hmm easy peasy

Step-by-step explanation:

C

C is the only answer with the square root thats a whole number while the rest of the answers ' square roots are not whole number answers and the numbers after the decimal go on forever  making it an irrational number. Also, for B, pi is not a rational number.