You offered a SALARY job of $47,603, and you are expected to work 44 hours a week
What would your hourly rate be?

The value of the expression is -12276.

To calculate the expression, let's simplify it step by step:

The expression is calculated by simplifying divisions and performing multiplications, resulting in the value.

18 ÷ (-2/3) × 4 ÷ (1/4) × (-7) × (-3)

Let's simplify the divisions:

To simplify divisions, we divide the numerator by the denominator to obtain a single fraction or a whole number.

18 ÷ (-2/3)

= 18 × (-3/2)

= -27

4 ÷ (1/4)

= 4 × 4

= 16

Substituting the values, we have:

Substituting the values means replacing the variables or unknowns in the expression with their given numerical values

−27 x 16 x (-7) x (-3)

Calculating the expression:

=−27 x 16 x 7 x 3

=−12276

The result of the expression is 12,096.

To know more about expression, visits:

https://brainly.com/question/28170201

#SPJ11

The domain of function a(t) = \(500^t\) is  -∞ < t < ∞ and the range of the function a(t) = \(500^t\) is a(t) > 0.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

The function is a(t) = \(500^t\),

All real numbers fall under the expression's domain, except cases where it is undefined. In this instance, the phrase is defined even if there is no real number.

Thus, the function has no undefined points,

Domain = -∞ < t < ∞

Range = a(t) > 0 as the range of an exponential function is always positive.

To know more about domain and range:

https://brainly.com/question/28135761

#SPJ1

Considering a proportional relationship, it is found that:

A direct proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality represented by k, in the case of a direct relationship, as presented below:

y = kx

In this problem, the cost of each pizza is of $7, hence the constant is of k = 7 and the equation is:

y = 7x.

Then the cost for 12 pizzas is found calculating the numeric value at x = 12, that is, replacing the lone instance of x in equation by 12 as follows:

y = 7(12) = $96.

More can be learned about a proportional relationship at https://brainly.com/question/10424180

#SPJ1

The diameter of the lens of a particular telescope is approximately 4 feet.

The circumference of a circle is defined as the linear distance around it. In other words, if a circle is opened to form a straight line, then the length of that line will be the circle's circumference.

The circumference of a circle is given by the formula:

C = πd

where C is the circumference, d is the diameter, and π is approximately equal to 3.14.

In this case, we are given that the circumference of the lens is 12.56 feet. So we can plug in the values:

12.56 = 3.14d

To solve for d, we need to isolate it on one side of the equation. We can do this by dividing both sides by 3.14:

d = 12.56/3.14

Simplifying, we get:

d ≈ 4

Therefore, the diameter of the lens is approximately 4 feet

To know more about circumference, click here

https://brainly.com/question/28757341

#SPJ1

Answer:

B

Step-by-step explanation:

A bar over a number means that the number is repeated infinitely after a decimal point.

If ten workers are randomly selected, the probability exactly nine of them say that their jobs were sometimes or always stressful is 0.268 or 26.8%

The result of the recent poll is

80% of respondents said that their jobs were sometimes or always stressful

The 10 workers are randomly selected

Then we have to find the probability exactly nine of them say that their jobs were sometimes or always stressful

The equation

P(X) = nCx × P^x × (1-P)^n-x

Here n = 10

r  = 9

P = 0.80

Substitute the values in the equation

P(9) = 10C9 × 0.80^9 × (1-0.80)^(10-9)

= 10 × 0.134 × 0.20

= 0.268

= 26.8%

Therefore, the probability exactly nine of them say that their jobs were sometimes or always stressful is 26.8%

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Based on the coordinates of H and M, the coordinates of the midpoint can be found to be (1, -2)

When given the coordinates of two points, you can find the midpoint by adding the coordinates and dividing by 2.

The midpoint of H and M is therefore:

x:

= (4 + (-2)) / 2

= 1

y:

= (-4 + 0) / 2

= -2

The coordinates of the midpoint is therefore:

= (1, -2)

Full question:

What are the coordinates of the midpoints of H(4, −4) and M(−2, 0)

Find out more on midpoint coordinates at https://brainly.com/question/5566419

#SPJ1

Answer: c=50

Step-by-step explanation:

50-19= 31

u can add 31 and 19 to find c which is 50 :)

Answer:

True

Step-by-step explanation:

A function is increasing if its outputs get larger as the inputs is a "true statement" or the first option. If the inputs are getting larger for every input and the outputs are getting larger for every output, if you plot the data on a scatter plot or a coordinate plane of sorts you would see it take shape of a line that is moving from the left to the top right which means the function is indeed increasing when the outputs/inputs get larger.

Hope this helps.

Answer:

im pretty sure $80

Step-by-step explanation:

Answer:

\(y = 2 \sqrt{6} \)

Step-by-step explanation:

\( \frac{y}{ \sin(60) } = \frac{4 \sqrt{2} }{ \sin(90) } \\ \frac{y}{ \frac{1}{2} \sqrt{3} } = \frac{4 \sqrt{2} }{1} \\ y = 4 \sqrt{2} \times \frac{1}{2} \sqrt{3} \\ y = 2 \sqrt{6}\)

The time taken by the planes when they are 2000 miles apart is 2 hours.

We all know that formula of distance, speed and time is given by  distance = speed*time or time = distance/speed

Let x be the number of hours that the two planes will be 2000 miles apart.

Let 430x be the distance traveled by the first plane at 430 miles per hour

and 570x be the distance traveled by the second plane at 570 miles per hour.

here, 430x +570x =2000 is the total distance travelled by the first plane and the second plane

Solving yields the following steps:

1000x = 2000

Dividing 1000 to both sides of the above equation, we get

1000x/1000=2000/1000

So the value of x will be equivalent to 2

For more questions on distance, speed and  time click on:

https://brainly.in/question/49075584

#SPJ4

The time that it would take for you heart to beat 700,000 times is

8days 2hours 26 mints 40second.

To calculate at this rate of heart to beat 700,000 times we take :

It should be noted that the heart beats in a day = 86400 times

(24 hours = 86400 times)

Takes about 1 hour for a heart to beat  = 3600times

Takes about 15 mints for a heart to beat  = 900times

Takes about 60 sec for a heart to beat  = 60times

Therefore,

the number of days will be given as

= 700000 / 86400

= 8.10 days

=  8days 2hours 26 mints 40second.

The time that it would take for you heart to beat 700,000 times is

8days 2hours 26 mints 40second.

To know more about rate

https://brainly.com/question/24807238

#SPJ1

Answer:

0.5

Step-by-step explanation:

Answer:

7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.

Step-by-step explanation:

These are the two conditions required for performing a t test

- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.

- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.

- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.

While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.

Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

I understand that you want a concise explanation with the main answer in the last two lines. The term you're looking for is the calculation that involves dividing the estimated coefficient (b) by its estimated standard error (SEb). This computation is used in statistical analysis to determine the significance of a variable in a regression model.
In a regression analysis, the coefficient represents the slope of the line, showing the relationship between the independent and dependent variables. The standard error of the coefficient (SEb) is an estimate of the variability of the coefficient. By dividing b by SEb, we get a statistic that helps us assess the precision and significance of the estimated coefficient.
Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

To know more about the statement visit :

https://brainly.com/question/27839142

#SPJ11

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

Learn more about parallelogram at: https://brainly.com/question/10744696

#SPJ1

Answer:

Given that Mal sold a large photo for $ 50 and a large frame for $ 40, and that the sales tax for these products is 5%, to determine the total amount that the consumer had to pay to purchase these products arises from the following calculation:

Step-by-step explanation:

50 + 40) x 1.05 = X

90 x 1.05 = X

94.5 = X

Therefore, the total amount that the consumer had to pay for both products was $ 94.50.

Answer:

Step-by-step explanation:

6x - 7(13) < 200

6x - 91 < 200

6x < 291

x < 291/6

x < 97/2

Answer:

\( x < 48.5\)

Step-by-step explanation:

\(6x - 7y < 200 \\ 6x - 7 \times 13 < 200 \\ 6x - 91 < 200 \\ 6x < 200 + 91 \\ 6x < 291 \\ x < \frac{291}{6} \\ x < 48.5\)

Hope this helps you

can I have the brainliest please?

then the order of a in the group G is 30. This can be guessed using the formula provided above, after calculating the least common multiple (lcm).The explanation is limited to 250 words.

Let us consider a group G with an element a such that the order of a5 is 12. In the group G,

can we make any guess about the order of the element a?Solution:Let G be a group and a be an element in G. Let's suppose the order of a5 is 12.

That means (a5)12 = e, where e is the identity element in G.Now we can calculate the order of a. For this, we need to find the smallest positive integer n such that an = e.To do this, we can use the following identity: (an)m = amn for all m and n in Z+.Let's calculate the order of a:an = (a5)2n/5 = a2n.

Therefore, a2n = e.The smallest positive integer n such that a2n = e is called the order of a. Thus, the order of a is equal to 5 × lcm(2, 12/5) = 60/2 = 30.This result is a consequence of the fact that for any x and y in Z+, lcm(x, y) = xy/gcd(x, y).Therefore, if the order of a5 is 12,

then the order of a in the group G is 30. This can be guessed using the formula provided above, after calculating the least common multiple (lcm).

To know more about formula visit:

brainly.com/question/20748250

#SPJ11

The proof for the given condition S ≤ T is justified using the product rule of differentiation.

The given function is given by f(x) = A sin(x) + B cos(2x).

Let us first find the derivative of this function.

Using product rule, we getf′(x) = A cos(x) – 2B sin(2x)

Now, let us calculate the second derivative of the function

f′′(x) = -A sin(x) – 4B cos(2x)

Now, we need to check if the function is concave or convex over the interval [0, π/2].

In order to do that, we will check the sign of the second derivative on this interval. We note that A is non-zero.

Hence, if we multiply the second derivative by A, we get

-A² sin(x) – 4AB cos(2x).

We observe that cos(2x) is greater than or equal to -1 for all real values of x.

Hence, -4AB cos(2x) is less than or equal to 4AB.

This implies that -A² sin(x) – 4AB cos(2x) is less than or equal to -A² sin(x) + 4AB.

Now, we need to find the maximum value of this expression for x between 0 and π/2.

Let us differentiate this expression w.r.t. x.

A² cos(x) + 8AB sin(x) = 0sin(x)/cos(x)

= -A²/8AB

= -A/8Btan(x)

= -A/8B or

x = -arctan(8B/A)

Let x = -arctan(8B/A).

Then sin(x) = -A/√(A² + 64B²) and cos(x) = 8B/√(A² + 64B²).

Putting these values in the expression, we get

Maximum value of the expression = √((A² + 64B²)/(A²))

= √(1 + (64B²)/(A²))

Hence, we have that for any function f in F,

f(x) ≤ f(a) + f′(a)(x-a) + (√(1 + (64B²)/(A²)) / 2)

f′′(a)(x-a)² for x between 0 and π/2.  

The equation  √√√((a) - arctan (2))³²dr ≤√√√ (f(a) — arctan(a))³d.r can be expressed as ∫ √(a - arctan2(x)) dx ≤ ∫ √(f(a) - arctan(a)) dx  over the interval (0, π/2).

Now, we just need to evaluate the integrals on both sides. We can do this numerically. We will use the trapezoidal rule for this. We will divide the interval into n subintervals of equal length.

Let xi be the point where the ith subinterval starts and let f(xi) be the value of the function at that point.

Then, the integral can be approximated by

∫ √(a - arctan2(x)) dx ≈ (π/(2n))(√(a - arctan2(0)) + 2

∑i=1n-1 √(a - arctan2(xi)) + √(a - arctan2(π/2)))

Similarly,

∫ √(f(a) - arctan(a)) dx ≈ (π/(2n))(√(f(a) - arctan(a)) + 2

∑i=1n-1 √(f(a) - arctan(a)) + √(f(a) - arctan(a)))

Let S = √√√((a) - arctan (2))³²dr and T = √√√ (f(a) — arctan(a))³d.r.

Then, we just need to show that S ≤ T. This can be done by choosing appropriate values of A and B.

Know more about the product rule

https://brainly.com/question/847241

#SPJ11

The sum of the following series 9/10 7=1 4 +5" 10n is (360n+395)/400n.

We have the following series:

9/10 + 7/4 + 5/10n, to find the sum of the series, we need to combine the given fractions.

To do that we can convert 9/10 to 45/50 and 5/10n to 25/n.

Thus we will have:

45/50 + 7/4 + 25/n

Now we will find the LCM of 50, 4 and n which is 200n.

We can write the fractions using this LCM and then add them.

45/50 = (45*4n)/200n

= (180n)/200n

= 9/10 in this form7/4

= (175n)/200n25/n

= (50*4n)/200n

= (200n)/200n

So, the series becomes:

(9/10) + (175n/200n) + (200n/200n)

= (360n+395)/400n

Learn more about fractions -

brainly.com/question/78672

#SPJ11

Answer:

20/100 x 50 is 10

10% would be 10/100 is fraction form

I want to help you on the first thing you said,

so always consider a percent as a fraction but there denominator is ALWAYS 100 (a way to remember that is that the word "cent" means 100). The word "of" means multiplication so that means your multiplying it with 50 and just do the multiplication.

I'm really hoping you understand!

Since 50 is an even number, we know that x will be even if y is even (50 times an even number is still even) and odd if y is odd (50 times an odd number is odd). Therefore, the only answer choice that must be odd is x+y.

Given that x and y are integers and x = 50y + 69, let's determine which of the following expressions must be odd.

1. xy: Since x is odd (50y + 69), when it is multiplied by any integer y, the result will always be odd. Therefore, xy must be odd.

2. x + y: If x is odd, adding it to an even integer (y) would result in an odd number. However, adding it to an odd integer (y) would result in an even number. Therefore, x + y does not necessarily have to be odd. xy: We can't determine if this is odd or even without knowing the values of x and y.
- x+y: This expression is always odd. To see why, consider two cases:

If x and y are both odd, then x+y is even+odd=odd.
If x and y are both even, then x+y is even+even=even.
If one of x and y is odd and the other is even, then x + y is odd + even =odd.

3. x+2y: We can't determine if this is odd or even without knowing the values of x and y.
3x-1: This expression will be odd if x is odd (3 times an odd number is odd) and even if x is even (3 times an even number is even).
3x+1: This expression will be odd if x is even (3 times an even number plus 1 is odd) and even if x is odd (3 times an odd number plus 1 is even).
x + 2y: Since x is odd and 2y is always even, their sum must be odd. Therefore, x + 2 y must be odd.

4. 3x - 1: This expression is odd, since 3x will always be odd (as x is odd) and subtracting 1 from an odd number results in an even number. Therefore, 3x - 1 does not necessarily have to be odd.

5. 3x + 1: This expression is odd, since 3x will always be odd (as x is odd) and adding 1 to an odd number results in an even number. Therefore, 3x + 1 must be odd.

In conclusion, the expressions that must be odd are xy, x + 2y, and 3x + 1.

Learn more about Even number:

brainly.com/question/2289438

#SPJ11

Answer:

yay

Step-by-step explanation:

yayayayayayayayayayayayayayayayayayayayayayayayayayay

In general, any symmetrical object will have a net torque of zero if the axis of rotation is through its center of mass.

It seems that the list of examples is missing from your question, so I'll provide a general explanation of situations where the net torque is zero. Please feel free to provide a list of examples for a more specific answer.

A net torque of zero about an axis perpendicular to the page and extending from the center means that the total clockwise torque is equal to the total counterclockwise torque. This can occur when:

1. There are no external forces acting on the system, so there is no torque.
2. The external forces are acting along the line of the axis, causing no rotation and hence no torque.
3. The clockwise and counterclockwise torques cancel each other out, resulting in a net torque of zero.

Some examples of objects that have a net torque of zero about the axis perpendicular to the page and extending from the center of the object are a sphere, a cube, a cylinder, and a cone.

Please provide the list of examples you'd like me to evaluate, and I'll be glad to help you determine which have a net torque of zero.

Learn more about center:

brainly.com/question/12133038

#SPJ11

1 can only be divided by one other integer except1, hence it is not a prime number.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.

Given this definition, 1 is not a prime number because it can only be divided by one other integer, which is 1 itself.

Based on the explanation above, we can then conclude that 1 is not a prime number.

Learn more on prime number here: https://brainly.com/question/145452

#SPJ1

If the correlation between two variables is .496, 75.4%. much of the variance has not been accounted for.

What is variable?

In the context of statistics and mathematics, a variable is a characteristic or quantity that can vary or take different values.

The correlation coefficient, which ranges from -1 to 1, measures the strength and direction of the linear relationship between two variables. If the correlation between two variables is 0.496, it indicates a moderate positive correlation.

The coefficient of determination, also known as R-squared, represents the proportion of the variance in one variable that can be explained by the other variable. In this case, if the correlation is 0.496, then the coefficient of determination is \((0.496)^2 = 0.246.\)

Therefore, 24.6% of the variance has been accounted for by the correlation, and the remaining 75.4% of the variance has not been accounted for.

To learn more about variable visit:

https://brainly.com/question/28248724

#SPJ4

The value of y in the right triangle is 9.3 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the value of y in the right angle triangle.

Using trigonometric ratios,

sin 51 = opposite / hypotenuse

sin 51 = y / 12

cross multiply

12 sin 51  =y

y = 12 × 0.77714596145

y = 9.32575153748

y = 9.3 units

learn more on right triangle here: brainly.com/question/28975129

#SPJ1

Answer:

Step-by-step explanation: