You roll a number cube and then spin a spinner with two equal-sized sections.
What is the probability of rolling a number greater than 3 and spinning red?


A. 1/4
B. 1/6
C. 1/3
D. 1/2

Please explain how got the answer

Answer:

15j^2k^2+10jk^2

Step-by-step explanation:

You distribute the term 5jk to the terms inside parentheses.

5jk(3jk) = 15j^2k^2

5jk(2k) = 10jk^2

Now put in original form:
15j^2k^2+10jk^2

By using the concept of permutations and combinations, we can conclude that the shop can create 150 different sandwiches

We are given a deli that offers 5 fillings, 6 types of bread, and 5 condiments. Also, each sandwich consists of a filling, a type of bread, and a condiment.
We are asked to find the number of different sandwiches that the shop can create.

Here, we are gonna use the concept of permutations and combinations.

Number of different fillings = 5

Number of different beads = 6

Number of different condiments = 5

Number of different sandwiches = Number of different fillings x Number of different beads x Number of different condiments = 5

                                     = 5 x 6 x 5

                                     =  150 sandwiches

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The sum of the measures of the angle of a triangle is 180 degrees.

The given triangle is a type of triangle and the type of triangle a scalene triangle.

For a scalene triangle, the measure of the three sides are unequal and the sum of the interior angle of a triangle is 180 degrees.

Hence the measure of the angles <A, <B and <C are all less than 90 degrees since they are all acute angles.

We can therefore conclude that:

m<A + m<B + m<C = 180 degrees

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Answer:

224 points.

Step-by-Step Explanation:

We know that Andrew scores 16 points per basketball game.

He continues scoring the same amount of points for 14 more games.

Therefore, the total amount of points he will score in total will be 16 multiplied by 14.

Since 16 times 14 is 224, this means that Andrew will score 224 points in total.

Answer:

9(2x-1)

Step-by-step explanation:

common factor of both 9 and 18 is 9

thus, you can take a 9 out

9(2x-1)

(to check if it is correct, you can expand it, and if it is the same as original then it is correct )

Answer:

9 (2x-1)

Step-by-step explanation:

Grouping

1. Common factor:

18x-9

Solution:

9 (2x-1)

Answer:

Explanation:

The given angle:

For an angle in standard position on the unit circle, the location of the terminal point will be:

Answer:

$47.3

Explanation:

First, we need to find the corresponding value for the all-brick apartment located downtown. So, taking into account the table, we will use the value 0.43 because he wishes to ensure his belongings.

Then, using the fact that the value of the belongings in the apartment is about $11,000, we get that we can calculate how much he will have to pay as follows:

Therefore, he will have to pay $47.3 for insurance.

Answer:

x = 1

Step-by-step explanation:

f(x) = (x - 1)²

f(x) = (x -1)(x - 1)

*Note: to find zeros set your equation equal to zero

x - 1 = 0

x = 1

*Since both quantities are the same x = 1 is your only zero.

After the rotation of the point, we get the point as (5, 2)

We are given a point:

C (2, -5)

We first need to rotate it 180°.

When rotating a point 180 degrees counterclockwise about the origin our point A(x, y) becomes A'(-x, -y). So all we do is make both x and y negative.

So, we get the point as:

( - 2 , 5 )

Now, we need to rotate it 270°

The algebraic rule for a figure that is rotated 270° clockwise about the origin is (y, -x).

So, we get the point as:

(5, 2)

Therefore, after the rotation of the point, we get the point as (5, 2)

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Answer:

-4

Step-by-step explanation:

If you look on the x axis (Horizontal) the line hits the graph at -4

Answer:

y = 23 x + 7

Step-by-step explanation:

y=mx+b form where m is the slope and b is the y-intercept. You just plug in the values.

Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}} : \)

\( \underline{ \underline{ \text{To \: find}}} : \)

\( \underline{ \underline{ \text{Solution}}} : \)

\( \boxed{ \tt{y = mx + c}}\)

⇾ \( \tt{y = 23x + 7}\)

⇾ \( \tt{0 = 23x + 7 - y}\)

⇾ \( \tt{23x - y + 7 = 0}\)

\( \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{ \tt23x + 7 - y = 0}}}}}\)

( Correct me if I am wrong )

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The series is convergent because sn can be expressed as a telescoping sum, which means that the series will approach a finite value as n approaches infinity.

To determine whether the series [infinity] cos 4n − cos 4n/2n=1 is convergent or divergent by expressing sn as a telescoping sum, we can rewrite the terms using the identity cos 2x = 2cos²ˣ − 1:

cos 4n − cos 4n/2n=1 = 2cos^24n/2 − 1 − 2cos^24n/2n+1 + 2cos^24n+2/2n+2 − 1

This expression has a telescoping sum because each term cancels with the previous and next terms. So we can simplify it as:

s_n = (2cos² 2n − 1) − (2cos² 2n+1 − 1)

s_n = 2(cos² 2n − cos² 2n+1)

s_n = −2(cos² 2n+1 − cos² 2n)

Therefore, the series is convergent because sn can be expressed as a telescoping sum, which means that the series will approach a finite value as n approaches infinity.

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Answer:

It's because you are multiplying the wrong variables.

Step-by-step explanation:

Answer:

j = 9, b = 5

Step-by-step explanation:

The first equation must be

\(j+b=14\)

Multiplying by -130 result

\(-130j-130b=-1820\)

we add the equations to eliminate the variable "j"

\(20b=100\)

\(b=100/20=5\)

Now we calculate "j"

\(j+b=14\)

\(j=14-b=14-5=9\)

Hope this helps

Answer: ask the teacher to break it down for u

Step-by-step explanation:

that simpile

y=6x-26, Although I didn't really get what were you looking for

After calculating the distance, Ranjan has driven 358.55 miles so far.

To solve this problem, we need to use the formula:

distance = fuel efficiency x fuel consumed

Let's start by calculating the total fuel consumed. At the first stop, Ranjan adds 6.7 gallons of gas, which means he consumed 6.7 gallons of gas since his tank was full at the beginning of the trip. At the second stop, he adds 3.4 gallons of gas, which means he consumed 3.4 gallons of gas between the first and second stops. Therefore, the total fuel consumed is:

6.7 + 3.4 = 10.1 gallons

Now we can calculate the distance driven using the fuel efficiency of 35.5 miles per gallon:

distance = 35.5 miles/gallon x 10.1 gallons = 358.55 miles

Therefore, Ranjan has driven 358.55 miles so far.

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Answer: $57.53

Step-by-step explanation:

Answer:

Number of lawns

Step-by-step explanation:

I chose number of lawns because depending on how many lawns he mows is how much money he will get

Answer:

A, the money

Step-by-step explanation:

As Joe mows lawns, the amount of money he gets is being increased, meaning its changing, therefore its dependent of how many lawns are mowed.

Answer:

okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17

explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry  :(

Answer:

The common multiple is 18

Step-by-step explanation:

Because 9*2=18 and 18*1=18

Answer:

Simply 18.

Step-by-step explanation:

18 = 2*9

The rate constants are measured in units of 1/s. The temperatures range from 310 K to 350 K, and the corresponding rate constants increase as the temperature increases.

The rate constant of a reaction is a measure of how fast the reaction proceeds. It is influenced by temperature and is typically determined experimentally. The table provides data on the rate constant at different temperatures.

Upon examining the data, we observe that as the temperature increases from 310 K to 350 K, the rate constant values also increase. This trend suggests that the reaction proceeds at a faster rate at higher temperatures.

The rate constant's dependence on temperature can be explained by the Arrhenius equation, which states that the rate constant is exponentially related to the temperature. As the temperature rises, more reactant molecules possess sufficient energy to overcome the activation energy barrier, leading to an increase in the reaction rate.

The data in the table support this concept, as the rate constants progressively increase with higher temperatures. This information can be utilized to study the reaction kinetics, predict reaction rates at different temperatures, and assess the effect of temperature on the reaction's progress.

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9514 1404 393

Answer:

  $26.75

Step-by-step explanation:

The after-discount price is 85% of the original price. So, the original price is ...

  0.85 × p = 22.74

  p = 22.74/0.85 = 26.75 . . . . . divide by the coefficient of p

The regular price is $26.75.

Expected rate of return = 94.3%

Inflation rate is the rate of increase of prices of goods with the time being. It is also called devaluation of money. Risk free rate of return is an investment where possibility of risk is zero.

given, real risk-free rate = 2.5% = 0.025

the future rate of inflation = 2.8% = 0.028

nominal risk-free rate = (1 + real risk-free rate) / (1 + inflation rate)

nominal risk-free rate = (1+ 0.025) / (1 + 0.028) = 0.9971

now, rate of return = [(1 + nominal risk-free rate) / (1 + inflation rate)] - 1

 rate of return expected = [(1 + 0.9971) / (1 + 0.028)] - 1

                                      = 0.943

expected rate of return = 94.3 %

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Answer:

option c. 50°

Step-by-step explanation:

parallelogram opposite side are parallel

let the two angle of angle abc be a,b

so,38°=b

and 12°=c(by alternate interior angle)

38°+12°=50°

Answer:

\(option \: c = 50.............. \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Answer:

12.9921 inches

Step-by-step explanation:

Divide the length by 2.54

33 ÷ 2.54 = 12.9921 inches

The required number of inches in 33 cm is  approximately 12.99 inches.

To convert centimeters to inches, you can use the conversion factor 1 inch = 2.54 cm. To convert 33 cm to inches, simply multiply 33 by the conversion factor:

33 cm * (1 inch / 2.54 cm) = 12.99 inches

So, 33 centimeters is equal to approximately 12.99 inches. It's important to note that this is an approximation, as the conversion factor is not exact due to slight differences in the definitions of an inch and a centimeter. However, for most practical purposes, the approximation is close enough to be used interchangeably with the exact conversion.

Understanding the conversion between these two units of length is important in various fields, such as science, engineering, and commerce, where measurements are often made in both units.

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Answer:

11. I disagree with Marisol because 23 is the only exterior angle for remote interior angles 21 and 22.

12. w = 75 not 124

Step-by-step explanation:

12. the sum of a triangle is 180, so to find "w" the student should've added to find x 44+31= 75. 75+56 = 131. 180-131= 49. x = 49. a straight line is also 180 degrees. to find "w" they should've added 56+49 = 105. 180- 105 = 75.

Answer:

9.3 units

Step-by-step explanation:

By Pythagoras Theorem:

\( {x}^{2} + {(18 - 5)}^{2} = {16}^{2} \\ \\ {x}^{2} + {13}^{2} = {16}^{2} \\ \\ {x}^{2} + 169 = 256 \\ \\ {x}^{2} = 256 - 169 \\ \\ {x}^{2} = 87 \\ \\ x = \sqrt{87} \\ \\ x = 9.32737905 \\ \\ x \approx9.3\)

Answer:

12

Step-by-step explanation: