A checking account has a balance of -$126.89 . A customer makes two deposits, one 3 1/2 times the other, and then withdraws $25 . How much more money do they owe ?

Answer:

d. 20°

Step-by-step explanation:

First, we need to solve for m<Q

m<Q+m<R+m<S=180°

where m<R=90° and m<S=70°

m<Q+90°+70°=180°

m<Q=20°

Since m<Q=m<M

Then, m<M=20°

The part from the expression above that represents a coefficient is -4.9

The expression is given as

-4.9t^2

To solve this question, we make use of the following illustration.

Let an expression be represented as

ax^n

Where the variable is n

In the expression

Coefficient = a

Variable = x

Power = n

Using the above as a guide, the part from the expression above that represents a coefficient is -4.9

Read more about expressions at

https://brainly.com/question/2972832

#SPJ1

The area of triangle is 7.4833 ft².

Heron's formula used to calculate the areas of various triangles, including quadrilaterals and the equilateral, isosceles, and scalene triangles.

The Heron's Formula states that the area of a triangle is equal to √s(s-a)(s-b)(s-c), where s is the triangle's semi-perimeter and a, b, and c are its three side lengths.

s= (a+ b+ c)/2

Given:

sides: 3 feet, 5 feet and 6 feet.

semi- perimeter, s= 3+5+6/2 = 7

Now, Using Heron's Formula

= √s(s-a)(s-b)(s-c)

=√7(7-3)(7-5)(7-6)

=√7 x 4 x 2 x 1

=√56

= 7.4833 ft²

Hence, the area of triangle is 7.4833 ft².

Learn more about Heron's Formula here:

https://brainly.com/question/20934807

#SPJ1

Commutative property!!!!!

Answer:

1) vertical-Line test(VLT)

2)y=x

3)x

4)domain

Step-by-step explanation:

I had to look this up because I don't think you gave the full question.

Answer:

28 miles

Step-by-step explanation:

308/11 = 28 miles per gallon of gas

Answer:

x=-5

Step-by-step explanation:

-4(x-5)=40

-4x+20=40

-4x=40-20

x=20/-4

x=-5

Answer:

The answer is

1. ) 80°

Then

2. ) 9

Answer:

16-25

Step-by-step explanation:

Answer:

16-25 as looking at the bar graph!!

Answer:

Hello There!!

Step-by-step explanation:

The answer is 56.

hope this helps,have a great day!!

~Pinky~

Answer:

B

Step-by-step explanation:

To find the value of z such that the area to the right of z is 0.5, we can use the standard normal distribution table (also known as the z-table). The z-table provides the cumulative probability to the left of a given z-value.

Since the area to the right of z is 0.5, the area to the left of z is also 0.5. We need to find the z-value that corresponds to a cumulative probability of 0.5 (or 50%).

Referring to the z-table, we find that a cumulative probability of 0.5 corresponds to a z-value of 0. This means that the area to the left of 0 is 0.5, and therefore, the area to the right of 0 is also 0.5.

Thus, the value of z when the area to the right of z is 0.5 is 0.

Therefore, the correct option is b. 0.0000.

Answer: B. \(8\sqrt{2}\)

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse of a triangle is \(\sqrt{2}\) times the leg. If the hypotenuse is 16, and x is the leg, then x is \(\frac{16}{\sqrt{2}}\), or \(8\sqrt{2}\).

Answer: 6:30

Step-by-step explanation: every number you count by 5 and the short hand is the hour hand.

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

The symbols p,x, and s represent sample statistics.

- p (pronounced "p-hat") is the sample proportion. It is used to estimate the population proportion. It is computed as the number of successes in the sample divided by the sample size.

-x (pronounced "x-bar") is the sample mean. It is used to estimate the population mean. It is computed as the sum of all the values in the sample divided by the sample size.

- s is the sample standard deviation. It is used to estimate the population standard deviation. It measures how spread out the data is in the sample. It is computed as the square root of the sum of the squared deviations from the sample mean divided by the sample size minus one.

These sample statistics are used to make inferences about the corresponding population parameters, which are denoted by Greek letters such as μ (mu) for the population mean and σ (sigma) for the population standard deviation.

To learn more about variables population parameters refer below:

https://brainly.com/question/16787328

#SPJ11

The correct option are: B. x = 1 is an attractor; is the critical point for the given autonomous differential equation.

The right-side zeros of an autonomous 1st order differential equation provide the critical points: x' = f(x)

If a sign of said function shifts from positive towards negative, f(x) = 0

The solutions would converge around the critical point around an attractor.

Solve the autonomous differential equation:

dx/dt = x(1 - x),

Put dx/dt = 0

x(1 - x) = 0

x = 0, x = 1

Thus, at x = 1.

The function changes as from positive towards negative.

So, the solution becomes critical point.

To know more about autonomous differential equation, here

https://brainly.com/question/13711446

#SPJ4

The equation of the tangent line to the curve `y = 2ex cos(x)` at the point (0,2) is given by `y = 2ex + 2`.

To find an equation of the tangent line to the curve at the given point (0,2) whose equation is given by `y = 2ex cos(x)`, we need to determine the derivative `y'` of `y = 2ex cos(x)` first. Using the product rule, we have;

`y = 2ex cos(x)`...let `u = 2ex` and `v = cos(x)`, then `u' = 2ex` and `v' = -sin(x)`.`y' = u'v + uv'` `= 2ex cos(x) - 2ex sin(x)` `= 2ex(cos(x) - sin(x))`

Therefore, the derivative of `y = 2ex cos(x)` is `y' = 2ex(cos(x) - sin(x))`.

The equation of the tangent line to the curve at the point (0,2) is obtained by using the point-slope formula, which is given by: `y - y1 = m(x - x1)`where `(x1,y1)` is the point of tangency, `m` is the slope of the tangent line.

Substituting the values of `m`, `x1` and `y1`, we obtain: `m = y' |(0,2)` `= 2e(1 - 0)` `= 2e`Using the point-slope formula with `(x1,y1) = (0,2)` and `m = 2e`, we have: `y - 2 = 2e(x - 0)` `y - 2 = 2ex` `y = 2ex + 2`

More on  tangent line: https://brainly.com/question/28994498

#SPJ11

The correct option is A.

y  ≥ -3

The range is defined as the set of possible outputs, so just look at the vertical axis, you can see it goes from x = -3 up, then the range is just the set of all values larger than -3

it is written as:

y  ≥ -3

The correct option is a-.

Learn morea bout ranges at:

https://brainly.com/question/10197594

#SPJ1

Answer:

f(1)=16

Step-by-step explanation:

f(t)=-16t+32t

f(1)=-16(1)+32(1)

f(1)=-16+32

f(1)=16

Answer:

f(1)=16

Step-by-step explanation:

For the number of small aircraft that arrive during a 75-min period, the expected value if 10 and standard deviation is 3.17.

The expected value of the number of small aircraft that arrive during a 75-minute period is ⇒ E[X] = μ = 8t.

We need to convert the time period to hours,

So, t = 75/60 = 1.25 hours.

So, the expected number of small aircraft arrivals during a 75-minute period is ⇒ E[X] = μ = 8(1.25) = 10,

To find the standard deviation, we know that for a Poisson distribution, the standard deviation(σₓ) is the square root of mean.

So, σₓ = √μ = √8t,

Substituting t = 1.25,

We get,

⇒ σₓ = √8(1.25) = √10 ≈ 3.17,

Therefore, the expected value for number of aircraft is 10, and standard deviation is 3.17.

Learn more about Standard Deviation here

https://brainly.com/question/14981439

#SPJ4

The given question is incomplete, the complete question is

Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α =8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t.

What are the expected value and standard deviation of the number of small aircraft that arrive during a 75-min period?

Answer:

Y=18

Step-by-step explanation:

18+13=30 30*3=90

So,

The skateboard cost $67.

The protective helmet cost $25.

To find the percent that the price of the skateboard was out of the total amount, add 67 and 25 and divide 67 by the result.

Step 1:

67 + 25 = 92

Step 2:

67/92 = 0.728 or 72.8%.

The correct option is B.

Answer:200

Step-by-step explanation: when you multiply 81.7x2.68 it equals to 218.948 which to the nearest hundreth is 200

Answer:

41/25 or 1  16/25

Step-by-step explanation:

1 + 2/5 x 4/5 ÷ 1/2

do multiplication first

2/5 x 4/5 = 8/15

1 + 8/25 ÷ 1 /2

do division by multiplying by the reciprocal

1 + 8/25 x 2/1

1 + 16/25 = 1  16/25

The shortest walking distance from the theater to the library is given as follows:

d = 1.34 miles.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

In the context of this problem, we have that the shortest walking distance is the straight-line distance, which is the hypotenuse of a right triangle with side lengths given as follows:

Hence the distance is obtained as follows:

d² = 0.2² + 1.75²

d = sqrt(0.2² + 1.752)

d = 1.34 miles.

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

#SPJ1

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

There are 107 different methods to disembark.

When you mention "no two folks exit on the same floor," I suppose you mean that each of the seven people exits the elevator on a different floor.

The first person can exit the elevator on any of the building's 10 levels, followed by the second person on any of the other 9 floors, and so on.

The total number of ways in which the 7 people can exit the elevator from different floors is 10P7 ways.

The first person, as well as the second, third, and other people, can exit from any of the ten floors, thus we take this into consideration when calculating the overall number of exits. Therefore, there are 107 different methods to disembark.

Know more about Lift problem

https://brainly.com/question/22048837

#SPJ4

Answer:

A petral engine raise 200 litres of water in a well from a depth of 7 mint 6 second show that the power of the engine is about 2330w

Answer:  71/7

Step-by-step explanation:

No picture is provided so I am assuming that BD is an angle bisector.

1. ∠ABD=10x-7, ∠DBC=3x+5           Given

2. ∠ABD = ∠DBC                             Definition of angle bisector

3. 10x-7 = 3x+5                                Substitution

4. 7x - 7 = 5                                      Subtraction Property of Equality

5. 7x = 12                                          Addition Property of Equality

6. x = 12/7                                         Division Property of Equality

7. ∠ABD = 10(12/7) - 7                      Substitution

8. ∠ABD = 71/7                                 Adding like terms