Noah is planning his birthday party. He is deciding between three themes: space, safari, and comics. He also has to determine where he wants his party, at a skating rink or a park. Lastly, he needs to pick the day of the week that the party will happen. His options are Friday, Saturday, or Sunday. How many different possible party outcomes does Noah have with all of these options? solve 1 2 3 4 5 by this math problem

The total area of the two triangles is 28 square inches.

Step 1: Calculate the area of the first triangle.

The first triangle is a right triangle with a base of 4 inches and a height of 3 inches.

Area of a triangle = (1/2) * Base * Height

Area of the first triangle = (1/2) * 4 * 3 = 6 square inches.

Step 2: Calculate the area of the second triangle.

The second triangle is an isosceles triangle with a base of 4 inches and a height of 4 inches.

Area of a triangle = (1/2) * Base * Height

Area of the second triangle = (1/2) * 4 * 4 = 8 square inches.

Step 3: Add the areas of the two triangles.

Total area = 6 + 8 = 14 square inches.

Learn more about area here

https://brainly.com/question/13194650

#SPJ4

Answer:

-720 = 180 - 12x

Step-by-step explanation:

Hope it helps.

Using the property of exponents the numbers are determined as follows

5. x = 9

6. b = -4

7. n = 0

An exponential equation can be solved using the same bases because to the property of equality of exponential functions. It states that if all sides of an exponential equation have identical bases, then the exponents must likewise be equal.

The property is applied in the following equations

5. 8² * 8ˣ = 8¹¹

equating the powers

2 + x = 11

x = 11 - 2

x = 9

6. 5⁷ * 5ᵇ = 5³

equating the powers

7 + b = 3

b = 3 - 7

b = -4

7. x¹² * xⁿ = x¹²

equating the powers

12 + n = 12

n = 12 - 12

n = 0

Learn more about exponents at:

https://brainly.com/question/11975096

#SPJ1

2x² + 2x + ? = x

⇒ ? = x - 2x² - 2x

⇒ ? = -2x² - x

Your answer is incorrect because 2x² - x² would mean x² is part of the answer, which is clearly incorrect.

Answer:

Answer:The graph on the top left. Step-by-step explanation:f(x) = \(-4^x - 3\)That means that when x = 0...f(0) = [tex…

Answer:

The angle corresponding to angle 4 is angle 8

Answer: Below

Step-by-step explanation:

First, we start with x. We see the x is opposite of 30, so x is 30.

x + y + y = 180, since they lay on a straight angle.

180 - 30 = 150

since we still have 2 y's left:

2y = 150

y = 75

Answer:

(a) Not equal to

(b) Are not

Step-by-step explanation:

Nastya's annual payments on the loan will be approximately $7,350.68 (rounded to the nearest cent).

To find Jean's equity as a percent of the house value, we need to calculate the equity and divide it by the house value, then multiply by 100 to get the percentage.

Jean's equity is the difference between the house value and the mortgage amount. So, the equity is $792078.31 - $600,000 = $192,078.31.

To calculate the percentage, we divide the equity by the house value and multiply by 100: ($192,078.31 / $792078.31) * 100 = 24.26%.

Therefore, Jean's equity as a percent of the house value is 24.26%.

Now, let's move on to Nastya's question.

To calculate Nastya's annual payments on a fully amortizing loan, we need to use the formula for calculating the monthly payment:

P = r * PV / (1 - (1 + r)^(-n))

Where:
P = Monthly payment
r = Monthly interest rate (annual interest rate / 12)
PV = Present value of the loan
n = Total number of payments

Given:
PV = $622,422
Annual interest rate = 5.2%
n = 10 years

First, we need to convert the annual interest rate to a monthly interest rate: 5.2% / 12 = 0.43333%.

Next, we substitute the values into the formula and solve for P:

P = (0.0043333 * 622422) / (1 - (1 + 0.0043333)^(-10))

Using a calculator, we get P ≈ $7,350.68.

To learn more about annual payments

https://brainly.com/question/18958209

#SPJ11

Answer:

B

Step-by-step explanation:

I'm assuming the end point is to draw line CG parallel to AB. Question doesn't specify. Student A is drawing the line CG before the point G has even been determined yet

Answer:

1 + 0 = 1

100 - 91 = 9

Step-by-step explanation:

Answer:

3 with multiplicity 4 and –6 with multiplicity 2

Step-by-step explanation:

Set equal to zero and solve for

x

. The multiplicity of a root is the number of times the root appears.

x=3(Multiplicity of 4)

x=−6(Multiplicity of 2)

Answer:D

Step-by-step explanation: I think this is the answer on edge

The offer that will make her more money and how much more will she make is

This is further explained below.

Generally, the equation for the total made is  mathematically given as

T= flat rate +(hours worked*hourly pay)

Therefore, for the first family

T= 40 + (6+5)

T=$51

For the 2nd family

T'= 20 + (6+10)

T'=$36

In conclusion, the offer that will make her more money and how much more will she make is

T'=51-36

T'=$15

Read more about hourly pay

https://brainly.com/question/15166168

#SPJ1

CQ

Simone wants to babysit this weekend to make some extra money she changes a flat fee then changes per hour or part thereof that she babysits Saturday afternoon she will babysit for 6 hours she had to choose between two families to babysit for. the first family offers her 40 plus $5 per hour. The second family offers her $20 and $10 per hour. Which offer will make her more money and how much more will she make

The acceleration of the bookshelf is equal to 1.30 \(m/s^2\)

Given the following data:

To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.

Mathematically, Newton's Second Law of Motion is given by this formula;

\(Acceleration = \frac{Net\;force}{Mass}\)

Substituting the given parameters into the formula, we have;

\(Acceleration = \frac{67}{51.5}\)

Acceleration = 1.30 \(m/s^2\)

Read more on net force here: https://brainly.com/question/1121817

Answer:

y-5=2(x-3)

Explanation:

The point-slope form of the equation of a line is given as:

Given that:

Slope, m =2

Substituting the given values, we get:

This is the point-slope form of the equation of the line.

Therefore, the probability of Matt randomly selecting a sugar cookie from the bag, eats it, then randomly selects another sugar cookie is\(1/4 × 7/31 = 7/124.\)

Hence, the required probability is 7/124.
Given, the bag of cookies contains 9 chocolate chip cookies, 7 peanut butter cookies, 8 sugar cookies, and 8 oatmeal raisin cookies. We have to find the probability that Matt randomly selects a sugar cookie from the bag, eats it, then randomly selects another sugar cookie.

Number of sugar cookies in the bag = 8

Total number of cookies in the bag = \(9 + 7 + 8 + 8 = 32\)

Probability of randomly selecting a sugar cookie = Number of sugar cookies / Total number of cookies = 8 / 32 = 1/4

After eating one sugar cookie, there will be 7 sugar cookies remaining in the bag.

Probability of randomly selecting another sugar cookie after eating one = (Number of sugar cookies remaining in the bag) / (Total number of cookies remaining in the bag)

\(= 7 / (32-1) = 7/31\)
for such more questions on random selection

https://brainly.com/question/13219833

#SPJ11

The canonical algebraic expression in sum of products form is F(A,B,C) = AB + AB' + ABC

The canonical algebraic expression in sum of products form is a representation of a Boolean function in which each term is the product of a set of literals, and the entire expression is the sum of these products.

For example, let's consider the Boolean function F(A,B,C) = (A+B)C. We can represent this function in sum of products form by first distributing the C term to each of the terms in the parenthesis:

F(A,B,C) = AC + BC

Now, each term is the product of a set of literals (A and C in the first term, B and C in the second term), and the entire expression is the sum of these products. This is the canonical algebraic expression in sum of products form.

Another example is the Boolean function F(A,B,C) = A + BC. We can represent this function in sum of products form by first multiplying each term by 1 in the form of (A+A') or (B+B'):

F(A,B,C) = A(B+B') + BC(A+A')

Then, we can distribute the terms:

F(A,B,C) = AB + AB' + ABC + ABC'

Finally, we can simplify the expression by combining like terms:

F(A,B,C) = AB + AB' + ABC . This is the canonical algebraic expression in sum of products form.

To know more about algebra click on below link :

https://brainly.com/question/24875240#

#SPJ11

We are asked to find the measure of the angle CAB in the given figure.

Recall that the central angle is twice any inscribed angle subtended by the same arc.

For the given case, the central angle is given that is 96°

This means that the angle CAB must be half of the central angle.

Therefore, the measure of the angle CAB is 48°

Answer:

Step-by-step explanation:

First, you must find the actual decrease in temperature.

Decrease = Yesterday's temperature - Today's temperature

Decrease = 80 - 75

Decrease = 5 degrees

Now, find the percentage decrease.

% Decrease = Actual decrease / Yesterday's temperature x 100

% Decrease = 5/80 x 100

% Decrease = 0.0625 x 100

% Decrease = 6.25 %

So, the percent decrease in high temperature from yesterday to today is 6.25%

En route at FL290, the altimeter is set correctly, but not reset to the local altimeter setting of 30. 57" Hg during descent. If the field elevation is 650 feet and the altimeter is functioning properly, the approximate indication upon landing is 715 feet's.

Flight levels are used to provide safe vertical separation between aircraft despite natural variations in local atmospheric pressure. Historically, altitude was measured with a barometric altimeter, which is essentially a calibrated barometer. The altimeter measures ambient air pressure which, according to the barometric formula, decreases as altitude increases. The corresponding height is then calculated and displayed. If the altimeter calibrations of different aircraft are inconsistent, two aircraft may be flying at the same altitude even though their altimeters indicate they are at different altitudes.

Flight altitude solves this problem by defining altitude in terms of standard atmospheric pressure at sea level. All aircraft operating at flight altitude are calibrated to this setting, regardless of the actual pressure

To display true altitude, the pilot must calibrate the altimeter to the local atmospheric pressure at sea level to account for natural variations in atmospheric pressure over time and across a region.

Learn more about Feet:

https://brainly.com/question/20111809

#SPJ4

Answer:

Danny does

Step-by-step explanation: 40 / 4 = 10

                                              85 / 5 = 17

10 is less than 17 meaning that Danny is offering a better deal.

Hope this helps!

Answer:

Danny

Step-by-step explanation:

Danny offers $40 for four hours and Martin has a deal of $85 for five hours of swimming lessons so i know that Danny has the beater deal.

The integral of 4x²/(x²+9) is equal to 2 ln |x² + 9| - 18/(x²) + C, where C is the constant of integration.

The integral of `4x²/(x² + 9)` can be found by performing a substitution. The substitution u = x² + 9 can be used to convert the integral into a more manageable form. Therefore, `du/dx = 2x` or `x dx = (1/2) du`.Substituting `u = x² + 9` in the integral:∫(4x² / (x² + 9)) dxLet `u = x² + 9`, then `du = 2x dx` or `(1/2) du = x dx`.Substituting this into the integral:∫(4x² / (x² + 9)) dx= ∫(4x² / u) (1/2) du= 2 ∫(x² / u) du= 2 ∫(x² / (x² + 9)) dx= 2 [ln |x² + 9| - 9/x² + C]

Putting back the value of `u`:= 2 ln |x² + 9| - 18/(x²) + C The integral of `4x² / (x² + 9)` is equal to `2 ln |x² + 9| - 18/(x²) + C`. Therefore, the integral of 4x²/(x²+9) is equal to 2 ln |x² + 9| - 18/(x²) + C, where C is the constant of integration.

To know more about integral visit:-

https://brainly.com/question/31059545

#SPJ11

Answer:

60 km/hr

Step-by-step explanation:

Let the speed at the initial average speed from Town X to Town Y be a.

We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.

Town Y was 200 km from Town Z.

Thus, time spent here is;

t_2 = 200/(a + 20)

Time from X to Y is; t_1 = 150/a

We are told that it took the same time to travel for both parts of the journey.

Thus; t_1 = t_2

150/a = 200/(a + 20)

Cross multiply to get;

150(a + 20) = 200a

150a + 3000 = 200a

200a - 150a = 3000

50a = 3000

a = 3000/50

a = 60 km/hr

Answer:

(17, -11)

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

n=5

Step-by-step explanation:

-7-2.1n=-3.5n

 +2.1n    +2.1n

-7   =  -1.4n

/-1.4   /-1.4

n=5

Hope this helps!

If not, I am sorry

Answer:

b = - 1.25

Step-by-step explanation:

-7 - 2.1n = 3.5n

-7 = 3.5n + 2.1n

-7 = (3.5+2.1)n

-7 = 5.6n

-7/5.6 = n

n = -1.25

Check:

-7 -(2.1*-1.25) = 3.5*-1.25

-7 + 2.625 = -4.375

Answer:

20

Step-by-step explanation:

Answer:

You would have to divide 50/2.5.

Step-by-step explanation:

50/2.5 = 20.

So, it would take 20 steps

The function rule that describes the translation will be T(x + 1, y - 9). Then the correct option is A.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

A square on a coordinate plane is translated 9 units down and 1 unit to the right.

If the translate rightward by c then the coordinate will be (x + c, y)

If the translate downward by d then the coordinate will be (x + c, y - d)

Then the function rule that describes the translation will be T(x + 1, y - 9).

Then the correct option is A.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ1