evaluate this exponential expression 7*(6+2)^2-3^2

Answer:

Basicly all you do is Multiply Dazzling 4 times by 5, so 5*5*5*5 and your answer is 125.

EXAMPLE ;

IF it was 2 times brighter you would count the catagories. There are 4. So you would do 2*2*2*2 and you answer is 16.

The ratio of kittens to puppies is 16:3.

To find the ratio of kittens to puppies, you divide the number of kittens by the number of puppies.

Ratio of kittens to puppies = Number of kittens / Number of puppies

Given:

Number of kittens = 48

Number of puppies = 9

So, the ratio of kittens to puppies is:

Ratio = 48 / 9

Simplifying:

Ratio = 16 / 3

Option: B is the correct answer.

                          [tex]B)\ 11\cdot 11^4[/tex]

We are given a numerical expression as:

    11 to the 8th power over 11 to the 3rd power.

i.e. mathematically it is given by:

[tex]\dfrac{11^8}{11^3}[/tex]

Now, we know that if the numerator and the denominator terms are power terms such that both the terms are of same base then the resultant is the same base and the exponent of the base is: exponent of numerator minus exponent of denominator.

i.e.

[tex]\dfrac{a^m}{a^n}=a^{m-n}[/tex]

Here we have:

[tex]a=11,\ m=8\ and\ n=3[/tex]

Hence, we get:

[tex]\dfrac{11^8}{11^3}=11^{8-3}[/tex]

i.e.

[tex]\dfrac{11^8}{11^3}=11^5[/tex]

Now, this could also be written as:

[tex]\dfrac{11^8}{11^3}=11\cdot 11^4[/tex]

( since,

[tex]a^m\cdot a^n=a^{m+n}\\\\i.e.\\\\11^1\cdot 11^4=11^{4+1}=11^5[/tex] )

Susan's total income remains $16,000 regardless of the number of hours she works, up to the point where her earnings from work alone would exceed her government benefits. This design of the assistance program potentially reduces her incentive to work more hours. Opportunity costs must also be factored in, which can further influence her decisions.

Creating Susan's Income Table

Susan has the option to work up to 1,800 hours a year at $8 per hour. If Susan does not earn any income, she is entitled to $16,000 in government benefits. However, for every dollar she earns, her government support reduces by the same amount. To understand Susan's situation better, we can create a table showing various scenarios.

Let's assume Susan decides to work 500 hours in a year:

If Susan works more, her earnings increase but her benefits decrease, keeping her total income stagnant at $16,000, until she surpasses the threshold of $16,000 in earnings. This suggests the assistance program may limit her incentive to work more hours as the additional work does not increase her total income. Moreover, Susan must consider opportunity costs, such as childcare expenses, that might further reduce her incentive to work additional hours.

The Impact of Government Assistance on Work Incentives

Opportunity costs play a crucial role in Susan's decision-making. If the costs of working (like paying for childcare) exceed the benefits of working additional hours, she might opt to work less or not at all. Therefore, assistance programs can impact individual's work choices by affecting the marginal benefit of working additional hours.

Answer:

C. 14 cm

Step-by-step explanation:

According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the measure of the third side.

Given,

The longest side of an isosceles obtuse triangle measures 20 centimeters.

Let x be the measure of the other two congruent sides,

By the above property,

20 < x + x

20 < 2x

10 < x

Thus, the measure of congruent sides must be greater than 10 cm,

Now, In an isosceles obtuse triangle, the square of the longest side is greater than the sum of squares of the other two congruent sides.

[tex](20)^2>x^2+x^2[/tex]

[tex]400>2x^2[/tex]

[tex]200>x^2[/tex]

[tex]10\sqrt{2}>x[/tex]

Since, √2 = 1.41421356≈ 1.41

[tex]\implies x < 10\times 1.41\implies x < 14.1[/tex]

Hence, the greatest possible whole-number value of the congruent side lengths is 14.

Option C is correct.

1000000 / 1000 = 1000

 there are 1000, 1000's in 1000000

Answer:

Step-by-step explanation:

Given:

Alphabet: d

Word: combed

First, we note down the length of the word "combed";

The length is 6 characters

The we check the number of occurrence of d in the word "combed"

Occurrence of d = 1

Probability is then calculated as;

Probability of choosing d = [tex]\frac{Number of Occurrence}{Total Observation}[/tex]

By Substitution; Probability = [tex]\frac{1}{6}[/tex]

Given:

Roll number = 7

Sample Space= {2,4,8,9,4, 7}

Sample Size, n(S) = 6

We check the number of occurrence of 7 in the sample space

Number of occurrence = 1

Probability is then calculated as;

Probability of rolling a 7 = [tex]\frac{Number of Occurrence}{Sample Size}[/tex]

By Substitution; Probability = [tex]\frac{1}{6}[/tex]

Given

Red = 12

Green = 10

Yellow = 2

Blue = 19

Purple = 9

Total = 12 + 10 + 2 + 19 + 9 = 42

Probability of picking a green marble is then calculated as;

Probability of choosing d = [tex]\frac{Number of Green}{Total}[/tex]

By Substitution; Probability = [tex]\frac{10}{42}[/tex]

Probability = [tex]\frac{5}{21}[/tex]

Answer:

1-xy

Step-by-step explanation:

A factory produces widgets at a constant rate.After 4 hours,3,120 widgets have been produced.At what rate are the widgets being produced ?

In order to achieve the times that he did in going to and from the store, Tom went at an average speed of 5.14 miles per hour.

The store was 3 miles away which means that the distance of the entire trip is:

= Distance going + Distance coming

= 3 + 3

= 6 miles in total

The time he took was:

= Time going + Time coming

= 1/2 hours + 2/3 hours

= 0.5 + 0.67

= 1.17 hours

His average speed for the entire journey is:

= Distance / Time

= 6 / 1.17

= 5.14 miles per hour

In conclusion, Tom's average speed was 5.14 miles per hour.

Find out more at https://brainly.com/question/14523120.

neither no matter the amount of zeros the amount is the same