An underwater canyon begins at 40 feet
below sea level and is 105 feet deep.
What is the elevation of the bottom of
the canyon?

Answer:

$5952

Step-by-step explanation:

By the Federal Insurance Contributions Act which is a U.S. payroll tax meant to fund Medicare and Social Security, the FICA tax is shared among the employer and the employee whereby the employers share is 7.65% of the employees gross income and the employees share is also 7.65% of their gross income with 6.2% being for social security and 1.45% being for Medicare.

Louise Gaines, therefore will have 6.2% of $96,000 or  $96,000 × 0.062 = $5952 withheld for the period.

Answer:

-96+24= -72   or just -72

Step-by-step explanation:

4(-24+6)

-96+24= -  72

put the values of x,y and z

4(-24+6)

4(-18)

= -72

Answer:

[tex]AB \approx 70.7[/tex]

Step-by-step explanation:

This is a right triangle.

We have sides:

[tex]BC=52[/tex]

[tex]AC=48[/tex]

In order to find the other side, you can use the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

as 'c' equal to the hypotenuse and, 'a' and 'b' are legs or cathetus.

For this triangle,

[tex]AC^2+BC^2=AB^2[/tex]

[tex]48^2+52^2=AB^2[/tex]

[tex]2304+2704=AB^2[/tex]

[tex]AB=\sqrt{5008}=4\sqrt{313}[/tex]

[tex]AB \approx 70.7[/tex]

Answer:

quadrant 1

Step-by-step explanation:

both of them are positive

Answer:

Quadrant I

Step-by-step explanation:

Since x is greater than zero and y is greater than zero, that means the point (x, y) is to the right and above the origin.  Hence, the first quadrant.

Cheers.

Answer:

[tex]\dfrac{1}{9}[/tex]

Step-by-step explanation:

Given a spinner with 3 equally spaced colors Red, Blue, Yellow.

The colors are equally spaced, therefore probability of each color must be same.

i.e. Probability of occurrence of any one color in one spin is [tex]\frac{1}{3}[/tex].

To find:

Probability that spinner will stop one green in first spin and yellow in the second spin = ?

Solution:

As all the colors are equally likely to occur, so

Probability of green color in the first spin, P(G) = [tex]\frac{1}{3}[/tex]

Probability of yellow color in the second spin, P(Y) = [tex]\frac{1}{3}[/tex]

As we can observe that occurrence of any color in the second round of spin is not dependent on the color occurrence in the first spin, therefore these are the independent events.

P(G and Y) = P(G) [tex]\times[/tex] P(Y)

[tex]\Rightarrow P(G\ and\ Y) = \dfrac{1}{3} \times \dfrac{1}{3}\\\Rightarrow P(G\ and\ Y) = \bold{\dfrac{1}{9}}[/tex]

Therefore, the required probability is

[tex]\dfrac{1}{9}[/tex].

Answer:

m+22-22=30-22

m=8

7/7 y=28/7

y=4

12-12+3p=-3-12

3p=-15

3/3 p=-15/3

p=-5

Answer:

The points are collinear if the slope of any two pair of points is the same. Many infinite planes pass through that line. Thus, there are infinite planes contain the same three collinear plane.

Answer:

infinitely many

Step-by-step explanation:

well if you think about it in a 3D plane

we can make to planes intercept at a line

and we can make another plane that another plane interceptes the other to planes in the same line

and another

and another

...

so we can have three points in the line (collinear) that the planes intercept and we are done

Answer:

it will also be 29°

Step-by-step explanation:

LDAB will be also 29° cuz D is the bisector and at the top the two lines resembles that. So if CAD is 29° then DAB will be also 29°

I hope so it will help ✨

The angle ∠DAB will be equal to 29 degrees.

The line or line segment that divides an angle into two equal halves is known as the internal angle bisector or (interior) bisector. An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively.

Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

Given that in triangle ABC the angle ∠CAD is 29°. Then the angle will be calculated as below:-

The line AD is an angle bisector at point A of the triangle. Then the two angles ∠CAD and ∠DAB will be equal to each other.

∠CAD = ∠DAB

∠CAD = 29°

Therefore, the angle ∠DAB will be equal to 29 degrees.

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Answer:

4 is the answer

Step-by-step explanation:

Answer:

hey

√18 = 4.242

Step-by-step explanation:

rounded = 4

Answer:

x= -9.5

Step-by-step explanation:

We want to find out what the variable, x, is equal to. Therefore, we must isolate the variable on one side of the equation.

-4.75 = x/2

x is being divided by 2. The inverse of division is multiplication. Multiply both sides of the equation by 2.

2*(-4.75) = (x/2)*2

2*(-4.75)=x

2* -4.75=x

Multiply 2 and -4.75

-9.5=x

Let's check our solution. Plug -9.5 back in for x and solve.

-4.75= x/2

-4.75= -9.5/2

-4.75= -4.75

This checks out, so we know our solution is correct.

x is equal to -9.5

Answer:

[tex]x = \frac{19}{2} [/tex]

Step-by-step explanation:

[tex] \frac{x}{2} = - 4.75[/tex]

First convert the decimal to an improper fraction

That's

[tex] - 4.75 = - \frac{19}{4} [/tex]

So we have

[tex] \frac{x}{2} = - \frac{19}{4} [/tex]

Cross multiply

4x = - 38

Divide both sides by 4

We have the final answer as

[tex]x = \frac{19}{2} [/tex]

Hope this helps you

Answer:

Following are the relevant factors about cross-cultural research

Step-by-step explanation:

The Cross-cultural also known as the Intercultural studies, it involves work performed across various geographical regions improving student with different cultural backgrounds. While there are several similarities in certain human emotions, feelings, and behavior patterns, delicate differentiation is motivated by religion, political ideology, culture, etc.

Answer:

[tex]21y^{2} +4y-1[/tex]

Step-by-step explanation:

Hello!

[tex](12y^{2} +17y-4)+(9y^{2} -13y+3)[/tex]

For this, we can combine like terms

[tex]12y^{2} +9y^{2}=21y^{2}[/tex]

17y - 13y = 4y

-4 + 3 = -1

Combine the answers and we get

[tex]21y^{2} +4y-1[/tex]

Hope this Helps!

Answer:

21y² + 4y -1

Step-by-step explanation:

(12y² + 17y - 4) + (9y² - 13y + 3)  ---- remove parentheses

= 12y² + 17y - 4y + 9y² - 13y + 3

= 12y² + 9y² + 17y - 13y - 4 + 3  -----grouped like terms

= 21y² + 17y - 13y - 4 + 3

= 21y² + 4y - 4 + 3

= 21y² + 4y - 1

Answer: B Their slopes are equal.

Step-by-step explanation:

Two line segments are parallel if and only if their slopes are equal.

Option B is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Two line segments are parallel if and only if their slopes are equal.

If the slopes of two lines are equal, then they have the same steepness and will never intersect.

However, if the slopes are different, the lines will intersect at some point, and they will not be parallel.

Thus,

Two line segments are parallel if and only if their slopes are equal.

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Answer:

50%

Step-by-step explanation:

Given that Eighty percent ( 80%) of adults drink coffee and seventy ( 70%) percent drink tea.

Let the percent of the adults that drink coffee and tea be y

The total percentage of adults = 100

80 - y + y + 70 - y = 100

150 - y = 100

- y = 100 - 150

Y = 50.

Therefore, the smallest possible percent of adults who drink both coffee and tea is 50 %

A Simpler Answer:

Add together the probabilities.

80%+70%=150%

Therefore we overcounted 50 percent, so the least amount possible is [tex]\boxed{50\%}[/tex]

Answer:

The z-score of a bag containing 178 peanuts is -2.03.

Step-by-step explanation:

A z-score is a normally distributed value with mean 0 and standard deviation 1. The distribution of these z-scores is known as the standard normal distribution.

The formula to compute z-score is:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

The information provided is:

x = 178

μ = 184.7

σ = 3.3

Compute the z-score of a bag containing 178 peanuts as follows:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

  [tex]=\frac{178-184.7}{3.3}\\\\=-2.03[/tex]

Thus, the z-score of a bag containing 178 peanuts is -2.03.

Answer:

true

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

(1+sinx)/cosx

(1+sin0)/cos0

(1+0)/1

1/1

1

:. Lim x->0 =1

Answer:

-23

Step-by-step explanation:

-3i(4-2i)?

-61

0-6-12i

-12-6i

An expression that is equivalent to -3i(4 - 2i) is: B. -6 - 12i.

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

Note: i² is equal to -1 and i is equal to [tex]\sqrt{-1}[/tex].

By applying the distributive property of multiplication to the given expression, we have:

-3i(4 - 2i) = -3i(4) + 3i(2i)

-3i(4 - 2i) = -12i + 6(-1)

-3i(4 - 2i) = -12i - 6.

-3i(4 - 2i) = -6 - 12i.

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Answer:

Sum= -12

Product=32

Step-by-step explanation:

[tex]x^2+12x+32=0[/tex]

By factorization, we get

[tex]x^2+4x+8x+32=0\\x(x+4)+8(x+4)=0\\(x+4)(x+8)=0\\[/tex]

Therefore, the roots of the equation are = -4,-8

Sum of the roots =[tex]\alpha+\beta =\frac{-b}{a}[/tex]

[tex]\alpha +\beta[/tex]=[tex]-8-4=-12[/tex]

Product of the roots=[tex]\alpha \beta =\frac{c}{a}[/tex]

[tex]\alpha \beta =8*4=32[/tex]

Answer:

assosiative property

Answer:

The answer is 660.4 millimeters in diameter.

Step-by-step explanation:

The wheel is 26 inches in diameter. An inch is 25.4 millimeters. 26 * 25.4 = 660.4

Answer:

The question is not complete, below is the complete question:

A fastpitch softball player signs a six-year contract. Her agent expects that she will earn $1,000,000 over the next six years. If the agent is right, how many bonus payments, on average, should the pitcher expect each year? Explain

Yearly Salary: $20.000. Bonus for each game that attracts 100+ fans: $8.000.

Answer:

on average, the pitcher expects to earn 18.3 bonuses per year

Step-by-step explanation:

Total amount earned over the next 6 years = $1,000,000

salary per year = $20,000

salary for the next 6 years = 20,000 × 6 = $120,000

Next, let us calculate the amount earned from bonuses:

Total amount earned = amount earned from salaries + amount earned from bonuses

$1,000,000 = 120,000 + Amount earned from bonuses

Amount earned from bonuses = 1,000,000 - 120,000

Amount earned from bonuses = $880,000

Total bonus amount earned over six years = $880,000

Amount of bonus earned per game = $8,000

Number of bonuses received over the next 6 years = (Total bonus earned over six years) ÷ (Amount of bonus earned per game)

Number of bonus received over the next 6 years = 880,000 ÷ 8,000

Number of bonus received over the next 6 years = 110 bonuses

6 years = 110 bonuses

1 year = 110 ÷ 6 = 18.33 bonuses

on average, the pitcher expects to earn 18.3 bonuses per year

Answer:

A) 30°

Step-by-step explanation:

Sum of three angles of a triangle = 180°

75° +75° + ∠WYZ = 180°

Add like terms

150° + ∠WYZ  = 180°

Subtract 150°from both sides

∠WYZ = 180 - 150

∠WYZ = 30°

Answer:

Alphabet J

Step-by-step explanation:

Given

Alphabet: A - Z

Required

Determine which alphabet is at the 10 millionth position

Represent the number of alphabets with n

n = 26

To get the alphabet at the required position, we have to divide 10 million by 26 and note down the remainder

[tex]\frac{10000000}{26} = 384615\ R\ 10[/tex]

The division gives, 384615 remainder 10

This implies that, the alphabet at the 10th position is the same alphabet at the 10 millionth position;

And this alphabet is J

Answer: Hi!

4.89 * 2.2 = 10.758 (rounded is 10.76 or 10.8)

Tip: Line up the terms vertically and multiply.

Hope this helps!

Answer:

f ( x ) = 5x - 5 is not a quadratic function.

The degree of the equation f(x) = 5x – 5 is one, then it is not a quadratic equation. Then the correct option is B.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

If the degree of the equation is not 2, then the function is not a quadratic.

f(x) = 5x – 5, the degree of the equation is one, then it is not a quadratic equation.

Then the correct option is B.

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Answer:

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

Step-by-step explanation:

Given that :

Coordinate of point A = - 7, - 3

Number of points between point A and B = 12

Possible coordinate of point B

Possible coordinates of point B:

(-7, - 3) + 12 = (5, 9)

(-7, - 3) - 12 = (-19, - 15)

(-7, - 3) = (-7 +12, -3 - 12) = (5, - 15)

(-7, - 3) = (-7 - 12, - 3 + 12) = (-19, 9)

Hence possible coordinates of be are :

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

Answer:

See below.

Step-by-step explanation:

So, Nikki earns $12 per hour.

And she also earns a 5% or 0.05 commission of her total sales each day.

On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.

Thus:

[tex]139=96+0.05x[/tex]

Where x represents Nikki's total sales on Saturday.

Further notes:

To solve, subtract 96 from both sides and divide by 0.05:

[tex]139=96+0.05x\\43=0.05x\\x=\$860[/tex]

Thus, her total sales that day were $860.