What is 120% of 180?

Answer:

y^81

Step-by-step explanation:

(y^9)^7(y^3)^6 =

= y^63 * y^18

= y^81

Answer:

c

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

We can express the number 98 in exponential form as 10 raised to the power of 2. This means that by multiplying the base, which is 10, by itself twice, we obtain the value of 98.

To express 98 in exponential form, we need to determine the base and exponent that can represent the number 98.

Exponential form represents a number as a base raised to an exponent. Let's find the base and exponent for 98:

We can express 98 as 10 raised to a certain power since the base 10 is commonly used in exponential notation.

To find the exponent, we need to determine how many times we can divide 98 by 10 until we reach 1. This will give us the power to which 10 needs to be raised.

98 ÷ 10 = 9.8

Since 9.8 is still greater than 1, we need to continue dividing by 10.

9.8 ÷ 10 = 0.98

Now, we have reached a value less than 1, so we stop dividing.

From these calculations, we can see that 98 can be expressed as 10 raised to the power of 1 plus the number of times we divided by 10:

98 =\(10^1\) + 2

Therefore, we can write 98 in exponential form as:

98 = \(10^3\)

In summary, 98 can be expressed in exponential form as 10^2. The base is 10, and the exponent is 2, indicating that we multiply 10 by itself two times to obtain 98.

For more such information on: exponential form

https://brainly.com/question/30166689

#SPJ8

Answer:

\(F(t,y)=(2+7e^t)y+3(1-t)e^t +C\)

Step-by-step explanation:

You have the following differential equation:

\(e^t(7y-3t)dt+(2+7e^t)dy=0\)

This equation can be written as:

\(Mdt+Ndy=0\)

where

\(M=e^t(7y-3t)\\\\N=(2+7e^t)\)

If the differential equation is exact, it is necessary the following:

\(\frac{\partial M}{\partial y}=\frac{\partial N}{\partial t}\)

Then, you evaluate the partial derivatives:

\(\frac{\partial M}{\partial y}=\frac{\partial}{\partial t}e^t(7y-3t)\\\\\frac{\partial M}{\partial t}=7e^t\\\\\frac{\partial N}{\partial t}=\frac{\partial}{\partial t}(2+7e^t)\\\\\frac{\partial N}{\partial t}=7e^t\\\\\frac{\partial M}{\partial t} = \frac{\partial N}{\partial t}\)

The partial derivatives are equal, then, the differential equation is exact.

In order to obtain the solution of the equation you first integrate M or N:

\(F(t,y)=\int N \partial y = (2 +7e^t)y+g(t)\)        (1)

Next, you derive the last equation respect to t:

\(\frac{\partial F(t,y)}{\partial t}=7ye^t+g'(t)\)

however, the last derivative must be equal to M. From there you can calculate g(t):

\(\frac{\partial F(t,y)}{\partial t}=M=(7y-3t)e^t=7ye^t+g'(t)\\\\g'(t)=-3te^t\\\\g(t)=-3\int te^tdt=-3[te^t-\int e^tdt]=-3[te^t-e^t]\)

Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:

\(F(t,y)=(2+7e^t)y+3(1-t)e^t +C\)

where C is the constant of integration

Answer:

It is a observational study

Step-by-step explanation:

Equation j = m + 7 José can use to find his own age.

A linear equation in two variable is in the form of ax + by + c = 0; where a, b and c are constant. a or b any one of these must not equal to zero. Here 'x' and 'y' are two variables.

For example:

1. x + 2y = 3

2. 6x + 41y = 4

From the data we can conclude that:

The difference between José's age and Mario's age is 7 years.

Like, when José age was 10 years Mario age was 3 years, here the difference is 7 years.

Also when the José age was 13 years Mario age was 6 years, here also the difference is 7 years.

Now,

when the José age is 'j' then the Mario age must be j - 7:

We have given that Mario age = m

so, m = j - 7

taking 7 to the left side,

j = m + 7

Hence,

Equation j = m + 7 José can use to find his own age.

Learn more about " Linear Equation " from here: brainly.com/question/11897796

#SPJ9

Answer:  

j=m+7

Step-by-step explanation:

Answer:

420 million

Step-by-step explanation:

There are up to 420 million numbers that were assinged.

The number of seconds the person took to run from the first floor up to the 6th floor in the building is 75 seconds.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that a person enters a building on the first floor and runs up to the third floor in 30 seconds.

We need to find out how many seconds will it take the person to run from the first floor up to the 6th floor of the building.

Find the number of seconds the person took to run from the first to the third floor.

First to third floor = 2 floors

So,

2 floors= 30 seconds

Find the time it will take to run to 1 floor.

2 floor = 30 seconds

Divide both sides by 2

1 floor = 15 seconds

Find the number of seconds it took to run from the first floor to the 6th floor.

First to 6th floor = 5 floor

We have,

1 floor = 15 second

Multiply both sides by 5

5 x 1 floor = 5 x 15 seconds

5 floor = 75 seconds

Thus the number of seconds the person took to run from the first floor up to the 6th floor in the building is 75 seconds.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Statement 1, 2 and 3 are correct about using the distributive property.

Expanding is the same as using the distributive property. Factoring means going from ab + ac to a(b + c).Factoring can only be done when an expression has two terms.

Statement 1: Expanding is the same as using the distributive property. The distributive property states that a(b + c) = ab + ac. When we expand an expression, we are multiplying everything out. So, expanding an expression is the same as using the distributive property. Therefore, this statement is correct.

Statement 2: Factoring means going from ab + ac to a(b + c).When we factor an expression, we are essentially undoing the distributive property. In other words, we are going from a common factor in the two terms to a product. This is exactly what happens when we factor ab + ac to a(b + c). Therefore, this statement is correct.

Statement 3: Factoring can only be done when an expression has two terms. Factoring is the process of breaking down an expression into simpler factors. However, in order to do that, the expression needs to have two or more terms. If the expression only has one term, then we cannot factor it. Therefore, this statement is correct.

Statement 4: Factoring can only be done when an expression has plus signs. This statement is incorrect. Factoring can be done when an expression has either plus signs or minus signs. For example, we can factor x² - 4 to (x + 2)(x - 2). Therefore, this statement is incorrect.

For more such questions on distributive property , Visit:

https://brainly.com/question/2807928

#SPJ8

Answer:

  14 units

Step-by-step explanation:

The two given points have the same y-coordinate, so lie on the horizontal line y = -8. The distance between the points will be the difference of their x-coordinates.

  distance = 10 -(-4) = 10 +4 = 14

The distance between the points is 14 units.

Answer:

14 units

The two given points have the same y-coordinate, so lie on the horizontal line y = -8. The distance between the points will be the difference of their x-coordinates.

Step-by-step explanation:

The two given points have the same y-coordinate, so lie on the horizontal line y = -8. The distance between the points will be the difference of their x-coordinates.

 distance = 10 -(-4) = 10 +4 = 14

The distance between the points is 14 units.

The equivalent expression will be;

⇒ 12 (2m + 3) + 6 (2m + 3)

Option D is true.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (24m + 36) + (12m + 18)

Now,

Since, The expression is,

⇒ (24m + 36) + (12m + 18)

it can be written as;

⇒ (24m + 36) + (12m + 18) = 12 (2m + 3) + 6 (2m + 3)

Thus, The equivalent expression after solving,

⇒ 12 (2m + 3) + 6 (2m + 3)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

\(\frac{4}{5}\)

0.8

Step-by-step explanation:

Happy to help:)

The alpha value is the threshold for statistical significance.

Confidence levels must be decided upon in advance when conducting a survey since they affect the survey's essential scope and error margin. Confidence intervals of 90, 95, and 99% are widely employed in surveys.

A determined statistical result that was based on a sample would likewise hold true for the entire population within the established confidence level if the confidence level were set at 95%.

The probability cutoff for statistical significance is the alpha value. Although p = 0.05 is the most typical alpha value, 0.1, 0.01, and even 0.001 have also been utilized. To choose which alpha value to utilize, it is best to look at the research articles that have been published on your subject.

learn more about confidence intervals here :

https://brainly.com/question/24131141

#SPJ4

According to the Dietary Guidelines for American 2015, you should limit your fat intake to 25% - 35% of your total calories. The correct option is B.

Food-based dietary guidelines also known as dietary guidelines are intended to serve as a foundation for public food and nutrition policies, health and agricultural policies, and nutrition education programs aimed at promoting healthy eating habits and lifestyles.

Calories are the units of energy released by your body when it digests and absorbs food. The higher the calorie content of a food, the more energy it can provide to your body. When you consume more calories than you require, your body stores the excess calories as fat. Even fat-free foods can be high in calories. In this case, the fay should not be more than 35%.

Learn more about calories on:

https://brainly.com/question/1061571

#SPJ1

The first hour there will be 18 costumers that will order Turkey sandwiches

Probability

First, we want to find the probability of having a costumer who choose Turkey sandwich.

In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.

Turkey sandwiches: 180

Total number of orders: 160 + 100 + 180 + 60 = 500

Ratio = turkey / total

Ratio = 180 / 500 = 0.36

Then, the probability of having a costumer who choose Turkey sanwich is

P(T) = 0.36 = 36%

Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:

Hence , the first hour there will be 18 costumers that will order Turkey sandwiches

Learn more about Probability at:
https://brainly.com/question/13604758

#SPJ1

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

There isn't really enough info above to show us what you are looking for, but if you are looking for the slope:

Use the slope formula to find the slope m.

\(m=-\frac{4}{3}\)

Hope this helps! If not, feel free to comment below and I'll see what else I can do to help. Thanks and good luck!

 A store advertises,

"Buy one and get one half off"

Which means if we buy one, half the price of one will be discounted.

In other words "50% discount on each item we buy"

We will $440 for 10 skates.

Original cost of skates = $88

After 50% discount price of one skate = $88 - $44 = $44

Cost of 10 pairs of skates = 44 × 10

                                           = $440

     Therefore, we will pay $440 for 10 skates.

Learn more,

https://brainly.com/question/11823881

Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=\(\frac{9}{3}\)

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

According to the information, we can infer that the area of this polygon is 34 units².

To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.

Rectangle 1

6 * 3 = 18

Rectangle 2

2*4=8

Triangle 1

2 * 4 / 2 = 4

Triangle 2

2 * 4 / 2 = 4

Total Area

18 + 8 + 4 + 4 = 34

Based on the above, we can infer that the total area of the polygon is 34 ² units.

Learn more about polygons in: https://brainly.com/question/24464711

#SPJ1

Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.

To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:

Learn more about gumballs in: https://brainly.com/question/428165

#SPJ1

9514 1404 393

Answer:

Step-by-step explanation:

Assuming the events are independent, the numbers of ways are multiplied in order to find the total number of possible ways a combination of events can happen.

1. 3×4 = 12

2. 1×5 = 5

3. 4×6×2 = 48

4. 2×9×5 = 90

Work done lifting the bucket and rope to the top of the building is 4005.75 Joules

To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd. If the force is being exerted at an angle θ to the displacement, the work done is W = fd cos θ.

Initially bucket hold = 25kg. Sand

Sand leaks 0.1 kgs each meter it is lifted

At height x meter bucket hold = (25 - 0.1x) kg of sand

Length of rope = 15 meter

density of rope = 0.4kg / meter

weight of rope = 15 (0.4) = 6kg.

At height x meter, weight of rope = (6 - 0.4x)

Total weight at height x meter = (25-0.1x) + (6-0.4x)

                                                   = (31 - 0.5x) kg

force = (31-0.5x) g Newtons. = [(31-0.5x) 9.8] Newton

Work = force × displacement

\(Work= \int_{0}^{15}9.8(31-0.5x)dx\)

          \(=9.8[31x-0.5 \frac{x^2}{2} ]_{0}^{15}\)

          \(=9.8[31(15)-0.25(15)^2]-0\)

          \(=4005.75 joules\)

Hence, work done 4005.75 Joules

Learn more about the work and displacement here:

https://brainly.com/question/16149934

#SPJ1

Answer:  

m=0

Step-by-step explanation:

How to solve your question 4 +5=5−4

Step 1: Rearrange Terms 4+5=5−4  4+5=−4+5

Step 2 : Subtract 5 from both sides 4+5=−4+5

                                                                   -5         -5

Step 3 : Simplify 4m= -4m

Step 4: Add 4m to both sides of the equation 4m= -4m

                                                                              +4    +4

Step 5:  Simplify 8m=0

m=0

Okay, here we have this:

Considering the provided function, we are going to graph it, so we obtain the following:

First, we are going to start with the graph of the basic function, so the graph so far is:

Now, we are going to add 1 inside the square, which is reflected in a shift of the graph one unit to the left, so we have:

We continue, multiplying the entire function by -2, which results in a compression of the graph, and in a reflection on the x-axis due to the change of sign, now we have:

And finally we add two units to the whole function, therefore it means that the graph will move up two units, leaving the following graph:

Finally we obtain that the correct answer is the first answer choice.

Answer

Explanation

Given:

Elements to choose from = 5

Elements chosen = 2

a)

To determine the number of ways it can be done if the order of choices matters, we use the formula below:

where:

n=elements to choose from

k=elements chosen

P=Permutation

We plug in what we know:

Hence, there are 20 ways this can be done if the order of choices matters and without replacement.

b)

To determine the number of ways this can be done if order does not matter, we use the formula:

where:

n=elements to choose from

k=elements chosen

C=Combination

We plug in what we know:

Hence, there are 10 ways that this can be done if order does not matter and without replacement.

The converse of the statement will be : if x^2 = 100 then x = -10, which is not true.

In order to write a converse of a conditional statement "p then q",  will be "q then p" the hypothesis and conclusion interchanges.

Then the converse of the statement will be :

if x^2 = 100 then x = -10,

which is not true.

Since , x = +10, then x^2 = 100

Therefore, if x^2 = 100 then x = -10, which is not true.

Learn more about the similar question here;

https://brainly.com/question/4120450

#SPJ1