If the spinner is spun, what is the probability that the spinner will land on a multiple of 4?



20%
40%
1/10
1/4

$280.94 would be withheld from Emery's December 31 pay for FICA taxes. Option A is correct

Statistic is the study of mathematics that deals with relations between comprehensive data.

here,
To calculate the FICA taxes withheld from Emery's December 31 pay date, we first need to determine her gross wages for the month of December. Since she earns $232,500 annually, her monthly gross wages would be,

$232,500 / 12 = $19,375

Her year-to-date pay as of November 30 is $213,125, so her year-to-date pay as of December 31 would be

$213,125 + $19,375 = $232,500

Since Emery has already earned $147,000 in wages for the year, any additional wages she earns above that amount are not subject to Social Security tax. Therefore, the portion of her December wages subject to Social Security tax is,

$147,000 - $213,125 = -$66,125 (which is negative)

Since the result is negative, all of her December wages are only subject to the Medicare tax rate of 1.45%.

Therefore, the FICA taxes withheld from Emery's December 31 pay date would be,

Social Security tax = 0

Medicare tax: $19,375 x 0.0145 = $280.94

So, $280.94 would be withheld from Emery's December 31 pay for FICA taxes. Option A is correct.

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Answer:

Step-by-step explanation:

Find the perimeter of the rectangle

add the lengths of the rectangle's four sides

24 + 11 + 24 + 11 = 70

By answering the presented question, we may conclude that As a result, the slope equation for the line perpendicular to y = 1/4 and passing through (-6,9) is x = -6.

Slope is the slope of the regression of a curve or a line in mathematics. It serves as a measure of the way the como of a formula varies once the x-value alters. The slope of a line is commonly symbolised by the letter m and may be computed as follows: m = (y2 - y1) / (x2 - x1) (x1, y1) and (x2, y2) have been any 2 things on the line. A line's slopes might be favorable, zero, zero, or unknown. A positive slope signifies that the line ascends to left to right, even though a negative slope indicates that now the line drops from left to right.

We must first determine the slope of a line perpendicular to the line y = 1/4 in order to derive its equation.

Because y = 1/4 is a horizontal line, its slope is zero. The slope of a line perpendicular to this line is the inverse of the slope of y = 1/4.

The negative reciprocal of 0 is undefined, although the perpendicular line can be considered a vertical line. The equation of a vertical line going through the point (-6,9) is x = -6.

As a result, the equation for the line perpendicular to y = 1/4 and passing through (-6,9) is x = -6.

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The equation of a perpendicular line passing through a point (x1, y1) may be expressed in the form: if the slope-intercept form of the equation of the original line is  \(y = mx + b\) , where m is the slope and b is the y-intercept, then Thus, option A is correct.

The given equation is \(y = 7 - 11x\) .

In order to determine the equation of the line perpendicular to this one, we must first determine its slope. Given that x has a -11 coefficients, the slope of the given line is -11.

The slope of the line we are looking for will be 1/11, which is the negative reciprocal of -11 because it is perpendicular to the line we are looking for.

Using the point-slope form of a line's equation, we can determine the equation of the line passing through (-6,-9) and having a slope of 1/11:

\(y - (-9) = (1/11)(x - (-6))\)

Simplifying this equation gives:

\(y + 9 = (1/11)(x + 6)\)

Multiplying both sides by 11 gives:

\(11y + 99 = x + 6\)

Subtracting 6 from both sides gives:

\(x = 11y + 93\)

Therefore, the answer is A. \(x = -9\)  .

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Answer:

constant letters in alphabet

Step-by-step explanation:

There are many popular actors.

You can change your favourite teachers.

Too many beautiful flowers in the world.

Constant letters are only 21

Answer:

Pretty sure it's the second one!

Answer: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Since, 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11, you can form a triangle with side lengths 11 mm, 21 mm, and 16 mm.

Step-by-step explanation:

Answer:

\(2 \: sqrt \: 10.\)

Step-by-step explanation:

\(sqrt \: 40 = \sqrt{40} = \sqrt{4 \times 10} = \\ \sqrt{4} \times \sqrt{10} = 2 \times \sqrt{10} = \\ 2 \sqrt{10} = \\2 \: sqrt \: 10\)

♨Rage♨

\(2\sqrt{10}\) expression is equivalent to the given expression \(\sqrt{40}\).

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

Given expression

\(\sqrt{40}\)

We can write it into \(\sqrt{4 .(10)}\)

= \(\sqrt{4}.\sqrt{10}\)

= \(2\sqrt{10}\)

Hence, \(2\sqrt{10}\) expression is equivalent to the given expression \(\sqrt{40}\).

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Answer:

slope = \(\frac{5}{9}\) , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

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

given

5x - 9y = 45 ( subtract 5x from both sides )

- 9y = - 5x + 45 ( divide through by - 9 )

y = \(\frac{-5}{-9}\) x + \(\frac{45}{-9}\) , that is

y = \(\frac{5}{9}\) x - 5 ← in slope- intercept form

with slope m = \(\frac{5}{9}\) and y- intercept c = - 5

Answer:

(9,-1)

Step-by-step explanation:

math-way has all the answers ;)

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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The volume of the log will be 30,70,760 m³.

Mathematically, we can write Archimedes principle as -

F{buoyant} = - fluid density {ρ} x acceleration due to gravity {g} x volume {v}

Given is that a 3080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water.

Since the log floats on water, the density of both the log and water is same.

So, we can write volume as -

Volume = 3080 x 997 Volume = 30,70,760 m³

Therefore, the volume of the log will be 30,70,760 m³.

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{QUESTION IN ENGLISH -urgent A 3,080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water. What is the volume of the trunk above the surface of the water?}

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

The level of Justine be after translation of lift remains same as initial condition,

⇒ level = 6.

Given that,

Justin is at 6th floor

Therefore,

In initial condition the level of Justine = 6

Now lift went 3 levels upward direction

Add the 3 to the initial level of Justine,

Then the level of Justine after such translation of lift = 6 + 3 = 9

Now lift went 3 levels downward

Now subtracting 3 form the level of Justine after moving upward,

Then the level of Justine after such translation downward = 9 - 3

                                                                                                  = 6

Then the final level of Justine after such translation of lift remains same as 6.

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Answer:

m∠2 = 68°, m∠3 = 112°, m∠4 = 68°

Step-by-step explanation:

m∠3 = m∠1  ( Vertically opposite angles )

m∠3 = 112°

m∠2 = 180 - m∠1

m∠2 = 180 - 112

m∠2 = 68°

m∠4

Solution 1:

m∠4 = m∠2 (Vertically opposite angles)

m∠4 = 68°

Solution 2:

m∠4 = 180 - m∠1

m∠4 = 180 - 112

m∠4 = 68°

Hope this helps

Answer:

y=−2x+5

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is

y=mx+b , where m is the slope and b is the y-intercept.

y=mx+b

Find the values of

m and b

using the form

y=mx+b.

m=−2b=5

The slope of the line is the value of m , and the y-intercept is the value of

b.

Slope: −2

y-intercept:

(0,5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Graph the line using the slope and the y-intercept, or the points.

Slope:  −2

y-intercept:  (0,5)

X|Y

0 5

1  3

Step-by-step explanation:

The required graph of the equation y = -2x +5 has been shown.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
As the given equation y = -2x+5 represents a straight line,
in order to graph the line,
We must know, the two points on the line,
So,
Put x = 0 on the equation,
y = 5,

And put y = 0,
0 = -2x + 5
x = 2.5,

Now, locate the points (0, 5) and (2.5, 0) on the graph and draw the straight curve joining these two points will be the required graph of the equation,

Thus, the required graph of the equation y = -2x +5 has been shown.

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Answer:

52

Step-by-step explanation:

Also Written as:

((21+22)+9)+(10*0)

Using the PEMDAS also known as Order of operations.

((21+22)+9)+(10× 0) {10× 0 = 0}

((21+22)+9)+(0)

Then, it will look like this below:

((21+22)+9)

Now add then all together..

21 + 9 = 30

30 + 22 = 52

Input Equation:

Input Equation:

= ((21+22)+9)+(10*0)

= ((43)+9)+(10*0)

= (43+9)+(10*0)

= (52)+(10*0)

= 52+(10*0)

= 52+(0)

= 52+0

= 52

Hence, the answer is 52.

[RevyBreeze]

Answer:

The last gearwheel would make 3 revolutions.

Step-by-step explanation:

The measure of the revolution of a gear per minute is referred to as the speed ratio. The speed ratio is the ratio of the speed of the driver gear to that of the driven gear, or ratio of the number of teeth of the driven gear to the number of teeth of the driver gear.

In the given question, the second and third gears are idlers. while the first is the driver and the fourth the driven.

The revolution of the last gearwheel can be determined by;

Speed ratio =  \(\frac{number of teeth of the driven gear}{number of teeth of the driver gear}\)

                    = \(\frac{10}{30}\)

                    = \(\frac{1}{3}\)

Speed ratio = 1 : 3

The last gear would make 3 revolutions.

Answer:

C) -2/9

Step-by-step explanation:

\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)

Answer:

Hence, Option (C) - 2/9 is the Answer:

Step-by-step explanation:

-1/6 [3 -15(1/3)^2]

-1/6(3 -15)(1/9))

-1/6(3 - 5/3)

-1/6 (4/3)

Hence, Option (C) - 2/9 is the Answer:

I hope it helps!

Answer:

5 1/6 hurry bud

Step-by-step explanation:

Answer:

ok so the hole is 5 and 1/6

so 5 is the hole and the fraction is 1/6

A IS THE ANSWER

Step-by-step explanation:

branliest?

Answer:

55

Step-by-step explanation:

Value when x = 3

=> x⁴ - 2x³ + 5x² - 7x + 4

=> (3)⁴ - 2(3)³ + 5(3)² - 7(3) + 4

=> 81 - 2(27) + 5(9) - 21 + 4

=> 81 - 54 + 45 - 21 + 4

=> 130 - 75

=> 55

The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)

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

log₃(x²∛y²)

The product law of logarithms states that

log(ab) = log(a) + log(b)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  log₃(x²) + log₃(∛y²)

The power law of logarithms states that

log(aᵇ) =  blog(a)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  2log₃(x) + 2/3log₃(y)

This means that the values of A and B are A = 2 and B = 2/3

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Answer:

  C

Step-by-step explanation:

You want to identify the set of ordered pairs corresponding to the given pattern definitions.

The x-pattern starts at 2.

The y-pattern starts at 0.

The first (x, y) ordered pair is (2, 0). This matches answer choice C.

__

Additional comment

The x-rule tells you the sequence is ...

  2, 2+6 = 8, 8+6 = 14, 14+6 = 20 . . . . . {2, 8, 14, 20}

The y-rule tells you the sequence is ...

  0, 0+5 = 5, 5+5 = 10, 10+5 = 15 . . . . . {0, 5, 10, 15}

Then the (x, y) pairs are ...

  (2, 0), (8, 5), (14, 10), (20, 15)

Note that when X and Y are the variables involved, we conventionally use the ordered pair (x, y). When other variables are involved, the ordered pair may be different, not always alphabetic order.

Generally, the independent variable is listed first. Here, neither depends on the other, so that criterion does not apply. Listing X first here is also suggested by the fact that the X pattern rule is defined first.

Answer:

B, C, and F

Step-by-step explanation:

The sum is given explicitly as:

-1 + -7 + -13 + ... + -85

Each term of the sum belongs to an arithmetic sequence. The common difference is calculated by subtracting two consecutive terms as follows:

d = -7 - (-1) = -6

The first term is a1 = -1.

The general term n for the sequence is:

an = a1 + (n - 1)d

an = -1 + (n - 1)(-6)

Operating:

an = -1 -6n + 6

an = 5 -6n

The sum is:

We calculate the value of m:

am = 5 -6m = -85

5 -6m = -85

Solving for m:

m = 15

Thus, the summation is:

Answer:

1 : 8

Step-by-step explanation:

Answer:

$8 per hour

Step-by-step explanation:

First you have to do 16/2 or 32/4 to get your answer which is 8

Hope this helps!

The mass of the cubic cuboid is 1.479 kilograms.

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

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Answer:

c 57

Step-by-step explanation:

The total area of the regions between the curves is 4.5 square units

The graph is attached

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

y = x² - 6x + 9 and y = x - 1

With the use of graphs, the curves intersect at

x = 2 and x = 5

So, the area of the regions between the curves is

Area = ∫x² - 6x + 9 - x + 1

This gives

Area = ∫x² - 7x + 10

Integrate

Area =  x³/3 - 7x²/2 + 10x

Recall that x = 2 and x = 5

So, we have

Area = [2³/3 - 7(2)²/2 + 10(2)] - [5³/3 - 7(5)²/2 + 10(5)]

Evaluate

Area = 4.5

Hence, the total area of the regions between the curves is 4.5 square units

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