Can you please help me out ??

So the correct answer is B. 95,040

Answer:

Correct answer is a.$53,650

Step-by-step explanation:

Total job benefits includes both employee compensation and the expenses for traveling and for professional development for the year.

So we need to add those together to fond the total job benefits.

Total job benefits = employee compensation + expenses for traveling and for professional development

Total job benefits = $[tex]50,150+3500[/tex]

                              =$[tex]53,650[/tex]

Therefore correct answer is a.$53,650

Answer:

a. $53,650

Step-by-step explanation:

John has 51 cards.

Paul has 32 cards.

George has a number of cards greater than either Paul or John.

This means, George does have number of cards greater than both Paul and John.

Number of Cards with John is 51 and number of cards with Paul is 32 cards.

Therefore the number of cards that George may have is in between 33 and 51

If George has any number of cards greater than 32 and less than 52, then this number of cards is greater than cards with Paul but less than the cards with John.

Number of cards George has is > 32 but < 52

Hope this helps..!!

Thank you:)

Answer:

Step-by-step explanation:

Considering 'm' as the slope of a function y=f(x) we can have:

1. m=(y2-y1)/(x2-x1) which is the slope of a line based on two points from the line.

2. m=dy/dx which is the slope of the function y=f(x) in (x,y) by the derivative.

3. m=tan(Ф) which is the slope of a line when the angle (Ф) with respect x-axis is known.  

Answer:

2

Step-by-step explanation:

give me brainliest

Answer:

The juice left at the end of the day is 1.085 liters.

Step-by-step explanation:

Juice at the beginning of the day: 3.875 liters

Juice drink by Mario during the day: 2.79 liters

Juice left at the end of the day = Juice at the beginning of the day - Juice drink by Mario during the day

                                                  = 3.875 - 2.79

                                                  = 1.085 liters

Answer:

D

Step-by-step explanation:

There are 243 different ways the university radio station announcer can play a Beethoven symphony followed by a Mozart concerto, calculated by multiplying the number of Beethoven symphonies (9) by the number of Mozart concertos (27).

To determine how many different ways the university radio station announcer can play a Beethoven symphony followed by a Mozart concerto, we use the fundamental principle of counting. Since there are 9 Beethoven symphonies and 27 Mozart piano concertos, we multiply the two numbers together.

The calculation is as follows:

Therefore, the total number of combinations for playing one Beethoven symphony followed by one Mozart concerto is:

9 symphonies × 27 concertos = 243 possible combinations

This shows there are 243 different ways the radio station announcer can choose a pairing of a Beethoven symphony and a Mozart concerto to play back-to-back.

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The chance of rolling a 5 on a six-sided dice is 1/6, and the probability of getting a tails in a coin toss is 1/2. The total probability of both these independent events occurring is (1/6) * (1/2) = 1/12 or approximately 0.0833 on a decimal scale.

The question is asking for the probability of rolling a 5 on a dice and then getting a tails on a coin toss. To get the total probability, we multiply the individual probabilities together.

First, let's consider a fair six-sided die. The chance of rolling a 5 (or any specific number between 1 and 6) is 1/6.

Next, we consider a fair coin, which has two outcomes: heads or tails. So, the probability of getting tails is 1/2.

The total probability of both these events occurring is (1/6) * (1/2) = 1/12. So, the probability of rolling a 5 and then tossing a tail is 1 in 12 or approximately 0.0833 on a decimal scale.

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Answer with Step-by-step explanation:

since, DAC is a straight line

Hence, ∠BAD+∠BAC=180°

98°+∠BAC=180°

⇒ ∠BAC=180°-98°

             = 82°

Now, we know that sum of angles of a triangle=180°

Hence, ∠BAC+∠ABC+∠BCA=180°

           82°+32°+x=180°

                     x=180°-82°-32°

                     x= 66°

Hence, correct option is:

C. 66°

Answer:

0.64, 65%, 2/3, 7/10

Step-by-step explanation:

The first step to solve this problem is writing all numbers on the same format:

I am going to write as percentages in the decimal format. So

0.64 = 0.64

2/3 = 0.667

65% = 65/100 = 0.65

7/10 = 0.7

So the correct answer is:

0.64, 65%, 2/3, 7/10

A polynomial is an expression of more than one term. An expression is considered a polynomial when is has more than one term, otherwise, it would be called a monomial. These can be combined together through multiplication, addition and subtraction only. (Meaning no division or fractions)

Ex.

[tex]3 x^{2} + 3x - 3[/tex]

 x is a variable (There can be more than 1 variable in a term. Ex. 3xy, 4xyz, 4ab)

*A variable may be represented by letters.

2 is an exponent

3 is a constant

Those are the parts of a polynomial.

Polynomials can be categorized depending on the number of terms and their degree.

A polynomial with two terms is called a binomial. If it has three terms it is called a trinomial. If the expression has more than 3 terms, they are generally called polynomials.

A polynomial can be categorized by degree as well. You can determine the degree of a polynomial by looking at the term that has the highest exponent.

Using the example above, you can categorize the polynomial as a 2nd degree trinomial because 2 is the highest exponent and it has three terms.

When you add and subtract polynomials you need to take note of the variables. You can only subtract and add like terms, which means that the variables and the exponents are the same.

Ex.

[tex]( 2x^{3} + 2 y^{2} + x + 1) + (4 x^{2} - y^{2} + y + 2)[/tex]

When you add these two polynomials, you can disregard the parentheses because according to the associative property of addition, no matter how you group the terms, the answer will be the same.

Like mentioned before you can only add and subtract like terms. It would be easier if you just group like terms together by rearranging the expression. Do not forget that the sign or operation comes along with them.

[tex]2 x^{3} + 2 y^{2} - y^{2} + 4 x^{2} + x + y + 2 + 1[/tex]

Now combine the like terms.

[tex]2 x^{3} + y^{2} + 4 x^{2} + x + y + 3[/tex]

Notice that we retained the terms [tex]2 x^{3} [/tex] , [tex]4 x^{2} [/tex], x and y, this is because they have no similar terms.

FOIL method is used when multiplying 2 BINOMIALS. Remember that a binomial is an expression with 2 terms.

FOIL means:

FIRST term: first terms of each binomial.

OUTSIDE term: The two outer terms when taking the equation as a whole.

INSIDE term: The two inner terms when taking the equation as a whole.

LAST term: Last term of each binomial (2nd term of each binomial)

To get the answer, you need to multiply them with their corresponding term.

Ex. (2x+3)(x-4)

F:  2x and x            (2x)(x) = [tex] 2x^{2} [/tex]     

O: 2x and -4    (2x)(-4) = -8x

I: 3 and x          (3)(x)   = 3x

L: 3 and -4           (3)(-4)   = -12

Resulting expression:

[tex]2 x^{2} - 8x + 3x -12[/tex]         -8x and 3x are similar or like terms, so you can combine them

[tex]2 x^{2} - 5x -12[/tex]

When doing multiplication with binomials, there are two special cases you can consider doing, which follow a pattern. The first is multiplying sum and difference.

The condition where you can apply the first special case is the first term needs to be the same and the second term are additive inverses.

(a+b)(a-b)

The resulting expression follows this pattern [tex] a^{2} - b^{2} [/tex]

Ex. (x+3)(x-3) = [tex] x^{2} - 3^{2} [/tex] or [tex] x^{2} -9[/tex]

You can use FOIL to check your answer:

F: (x)(x) = [tex] x^{2} [/tex]

O: (x)(-3) = [tex]-3x[/tex]

I: (3)(x) = [tex]3x[/tex]

L: (3)(-3) = [tex]-9[/tex]

Arrange the expression:

[tex] x^{2} - 3x + 3x - 9[/tex]      Combining -3x+3x = 0 

[tex] x^{2} -9[/tex]

The next special case is squaring a binomial and there are two scenarios that you can consider. 

[tex] (a+b)^{2} [/tex] and [tex] (a-b)^{2} [/tex]

The resulting expression follows a certain pattern for each:

[tex] (a+b)^{2} [/tex] = [tex] a^{2} + 2ab + b^{2} [/tex]

[tex] (a-b)^{2} [/tex] = [tex] a^{2} - 2ab + b^{2} [/tex]

Let's use an example of each to demonstrate this and check with FOIL:

[tex] (a+b)^{2} [/tex]

[tex] (2x+4)^{2} [/tex]

a = 2x     b = +4

Let's insert that into our pattern:

[tex] a^{2} + 2ab + b^{2} [/tex]

 [tex] 2x^{2} + 2(2x)(4) + 4^{2} [/tex]

Simplify the expression:

[tex] 2x^{2} + 16x + 4^{2} [/tex]

[tex] 4x^{2} + 16x + 16 [/tex]

Let's check with FOIL

[tex] (2x+4)^{2} [/tex] = [tex] (2x+4)(2x+4) [/tex]

F: (2x)(2x) = [tex] 4x^{2} [/tex]

O: (2x)(4) = [tex]8x[/tex]

I: (4)(x) = [tex]8x[/tex]

L: (4)(4) = [tex]16[/tex]

a = 2x     b = -4

Let's insert that into our pattern:

[tex] a^{2} - 2ab + b^{2} [/tex]

 [tex] 2x^{2} - 2(2x)(-4) + (-4)^{2} [/tex]

Simplify the expression:

[tex] 2x^{2} - 16x + (-4)^{2} [/tex]

Let's check with FOIL

[tex] (2x+4)^{2} [/tex] = [tex] (2x-4)(2x-4) [/tex]

F: (2x)(2x) = [tex] 4x^{2} [/tex]

O: (2x)(-4) = [tex]-8x[/tex]

I: (-4)(x) = [tex]-8x[/tex]

L: (-4)(-4) = [tex]16[/tex]

Answer:

vm=( 57.1+66,6)/2≈ 61,5 km/h

Step-by-step explanation:

Answer:

A' would be return to its original position .

Step-by-step explanation:

Given  : If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°.

To find  : where would point A' lie.

Solution : We have given that ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°

By the reflection rule over y axis .( x ,y) →→ ( -x ,y)

Suppose  A ( x ,y) if we reflect it over y axis then

A( x ,y) →→ A'( -x ,y)

Now reflect it over x axis (-x ,y) →→( -x ,-y)

Now rotate by 180° it become ( -x, -y) →→( x ,y)

Hence , it return to its original position .

Therefore, A' would be return to its original position .

Cora's GPA, considering the weighted AP classes and grades achieved, calculates to be 3.875.

To calculate Cora's GPA with her AP and regular classes, we need to account for the weight of her AP classes.

Therefore, Cora's GPA is 3.875.

The answer is B 10x56 Sq 6xy

Answer:

B

Step-by-step explanation:

edgen 2020

By calculating the average speed of a 100-meter dash and then applying it to the marathon distance, it would take approximately 1.16 hours, or 1 hour, 9 minutes, and 28 seconds to complete a 26-mile marathon at that pace.

The student is asking how long it would take for someone to run a 26-mile marathon if they maintained the same speed as a 100-meter dash completed in 9.96 seconds. To calculate this, we first need to find the runner's average speed during the 100-meter dash. The speed (v) is distance (d) divided by time (t), so:

v = d / t = 100 meters / 9.96 seconds = 10.04 meters/second

Next, we convert the marathon distance from miles to meters. There are 1,609.34 meters in a mile, so:

26 miles * 1,609.34 meters/mile = 41,842.84 meters

To find the time (t) to run the marathon, we divide the total distance by the average speed:

t = 41,842.84 meters / 10.04 meters/second = 4,167.49 seconds

Finally, we convert seconds to a more understandable unit of time, hours and minutes:

4,167.49 seconds / 60 seconds/minute = 69.46 minutes
69.46 minutes / 60 minutes/hour ≈ 1.16 hours

So, John would complete the marathon in approximately 1.16 hours, or 1 hour, 9 minutes, and 28 seconds if he could maintain his 100-meter dash pace for the entire marathon.

The equation 3x - 8y = 24 can be written in slope intercept form as y = [tex]\frac{3}{8}[/tex] x - 3.

Slope of a line is defined as the value of the change in the values of the y coordinates with respect to the change in the values of the x coordinate.

It can also be defined as the tangent of the angle that the line makes with the X axis.

The standard equation of a line in slope intercept form is, y = mx + c, where m is the slope and c is the y intercept.

y intercept is the y coordinate when the line touches with the Y axis. The x coordinate of that point will be zero.

The given equation is,

3x - 8y = 24

Subtracting both sides of the equation with -3x,

3x - 8y - 3x = 24 - 3x

-8y = 24 - 3x

Dividing both sides by -8, we get,

y = -3 + [tex]\frac{3}{8}[/tex] x

y =  [tex]\frac{3}{8}[/tex] x - 3

Hence the standard equation in slope intercept form for 3x - 8y = 24 is  y = [tex]\frac{3}{8}[/tex] x - 3.

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Answer:

1/2 person over feet

Step-by-step explanation:

yw!