Triangle ABC is rotated by 135 degrees about point S to create A'B'C' what is the perimeter of ABC

Given:

Consider the given polynomial is:

\(x^3+4x^2+16x+64\)

To find:

The complete factorization of the given polynomial.

Solution:

We have,

\(x^3+4x^2+16x+64\)

Using grouping method, we get

\(=(x^3+4x^2)+(16x+64)\)

\(=x^2(x+4)+16(x+4)\)

\(=(x+4)(x^2+16)\)

\(=(x+4)(x+4i)(x-4i)\)         \([\because x^2+y^2=(x+iy)(x-iy)]\)

Therefore, the correct option is C.

Answer:

320 pounds sterling

Step-by-step explanation:

All you have to do is $380.80 divided by $1.19 which is equal to one pound sterling. Hope this helps!

Angie would take 75 minutes to mow the lawn by herself.

To find out how long will Angie take to mow the lawn:

Let's take Angie's time as x.

Now, multiply by 50x to obtain:

Therefore, Angie would take 75 minutes to mow the lawn by herself.

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Answer:

(I) V = 24π ≈ 75.3982 units³

(II) V = 192π ≈ 603.186 units³

General Formulas and Concepts:

Math - Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

Height h = 8

Diameter d = 6

Base b = 5.4 (not needed in calculations)

Step 2: Find radius r

Step 3: Find V of Normal Dimensions

Step 4: Find Dilations

Scale Factor: 2

Step 5: Find V of Dilated Dimensions

Answer:12

16

20

44 these are the answers

Step-by-step explanation:

Answer:

2a+3b+6

Step-by-step explanation:

Therefore, the relative accuracy of features plotted on the map is 500 meters.

To calculate the relative accuracy of features plotted on the map in meters, we need to convert the given accuracy from millimeters to meters.

Given:

Relative accuracy = 90%

Accuracy within 5 mm

To convert millimeters to meters, we divide by 1000:

5 mm = 5/1000 = 0.005 meters

Relative accuracy can be defined as the ratio of the actual accuracy to the map scale. In this case, the map scale is given as 1:100,000, which means that one unit on the map represents 100,000 units in reality.

To calculate the relative accuracy in meters, we multiply the actual accuracy (0.005 meters) by the map scale (100,000):

Relative accuracy = 0.005 meters * 100,000 = 500 meters

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Answer:

A) 15

Step-by-step explanation:

PEMDAS

20 / 4 + (6 * 2) - 2

take out the parenthesis which is P

20 / 4 + 12 - 2

there is no E

the go the rest of the way MDAS

5 + 12 - 2

17 - 2

15

Answer:

15 (A)

Step-by-step explanation:

ok first off you have to remember PEDMAS parentheses,exponents,division.multiplication,addition.subtraction(D and M are from left to right, as well as A and S.)

so the first thing you have to do is 6*2 because it is in the parentheses

this equation turns into

20/4+12-2

now do the division

5+12-2

now you have to add because it is left to right (it doesn't really matter what you o first in this situation)

17-2

15 (A)

hope this helps! have a nice day :)

The cost of new equity is approximately 10.67%. This is calculated by using the dividend growth model and considering the current selling price, anticipated growth rate, and flotation costs.

To calculate the cost of new equity, we can use the dividend growth model, which takes into account the expected dividend, the anticipated growth rate, and the current selling price of the shares. The formula for the cost of equity is: Cost of Equity = (Dividend / Selling Price) + Growth Rate. In this case, the dividend is $2.50, the selling price is $28 per share, and the anticipated growth rate is 4%. Plugging these values into the formula, we get: Cost of Equity = ($2.50 / $28) + 0.04 = 0.0893 + 0.04 = 0.1293 or 12.93%.

However, we also need to consider flotation costs, which are the expenses associated with issuing new shares. In this case, the flotation costs are 18%. To adjust for the flotation costs, we divide the cost of equity by (1 - Flotation Cost).

Cost of Equity adjusted for flotation costs = 0.1293 / (1 - 0.18) = 0.1293 / 0.82 = 0.1577 or 15.77%.

Therefore, the cost of new equity, taking into account the dividend, growth rate, selling price, and flotation costs, is approximately 15.77%.

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I believe that may be false

Answer:

Step-by-step explanation:

True.

Aldosterone is a hormone produced by the adrenal gland that plays an important role in regulating electrolyte and water balance in the body. It acts on the cells of the distal tubules and collecting ducts of the kidneys to increase the reabsorption of sodium ions and the secretion of potassium ions.

This helps to increase blood volume and blood pressure by retaining more sodium and water in the body while getting rid of excess potassium. Aldosterone release is regulated by the renin-angiotensin-aldosterone system, which is activated in response to low blood pressure or low sodium levels in the blood.

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The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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After 12 days, 4.2 grams of curium-243 remains will be left in a sample with 5.6 grams after 12 days.

Given that,

The half-life of curium-243 is 28.5 days.

We have to find how many grams of curium-243 will be left in a sample with 5.6 grams after 12 days.

We know that,

The formula is

A(t) = A₀(1/2\()^{t/h}\)

Here,

t= 12 days, half life,

h =28.5 days .

And the initial value, A(0)=5.6 grams

So we will get

A(t) = 5.6(1/2\()^{12/28.5}\)

A(t) = 5.6×0.747 = 4.2 grams

Therefore, After 12 days, 4.2 grams of curium-243 remains will be left in a sample with 5.6 grams after 12 days.

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Answer:

2

Step-by-step explanation:

16f - 24 = 4f

12f = 24

f = 2

The degree of freedom, df value for the chi-square statistic is 3.

In this question,

The chi-square goodness of fit test evaluates whether proportions of categorical or discrete outcomes in a sample follow a population distribution with hypothesized proportions. As a hypothesis test, the chi-square goodness of fit test allows you to use your sample to draw conclusions about an entire population.

Here,

Sample, n = 100

Number of categories, the sample is divided = 4

df is the degrees of freedom.

If there is a K category in the dataset and we want to apply chi-square goodness of fit test. Then, their degree of freedom df will be of k-1.

Thus, degree of freedom, df = k - 1

⇒ df = 4 - 1

⇒ df = 3

Hence we can conclude that the degree of freedom, df value for the chi-square statistic is 3.

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The p-value can be found with the F-distribution table or statistical software. If the p-value is less than or equal to α, then answer is option (a),If the p-value is greater than α, then answer is option (b).

To determine the correct statistical decision based on the given F-statistic, F (3, 12) = 2.72, we need additional information such as the significance level (α) of the hypothesis test. The significance level is a predetermined threshold that is used to assess the statistical significance of the results.

The correct decision depends on whether the calculated p-value, which quantifies the strength of evidence against the null hypothesis, is less than or equal to the significance level (α).

To find the p-value, you would need the F-distribution table or statistical software.

Once you have the p-value, you can compare it to the significance level (α) to make a decision:

If the p-value is less than or equal to α, you would reject the null hypothesis, indicating a statistically significant mean difference.

If the p-value is greater than α, you would fail to reject the null hypothesis, suggesting that there is not a statistically significant mean difference.

Therefore, without the significance level or the p-value, it is not possible to determine the correct statistical decision.

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Answer:

1 solution: x = 1 and y = 4

They should use 6 cup of Noah's measuring cup

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

Answer:

Answer B is the correct answer

Step-by-step explanation: :)

Answer:

m = − 2

Step-by-step explanation:

Answer:

0 Is the answer 0 - 1 / 0 - 3 = 0

Answer:

No thanks I don't feel like it

Step-by-step explanation:

I don't feel like it

Answer:

=8m

Step-by-step explanation:

=5m+3m

=m+m+m+m+m+m+m+m

=8m

Answer:

8m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

5m + 3m

Step 2: Simplify

Answer:

-2 = not in domain

0= in domain

3= in domain

The most appropriate choice for domain of a  functions will be given by -

What is a domain of a function

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

The set of values for which the function is defined is called domain of the function.

Here, from the graph, the set of values of x axis for which the graph is drawn is \(-6\leq x \leq 6\).

And values of x - axis represents the domain.

So domain of function is {x ∈ \(\mathbb{R}\), \(-6 \leq x \leq 6\)}

Third option is correct.

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Answer:

2

Step-by-step explanation:

a negative x negative is always a positive

a negative x positive is negative

a positive x positive is negative

Answer:

x=-12

Step-by-step explanation:

4 = -8 - x

First, step +8 to get it to the other side of the question, then it will be 12 = -x

to get x move the negative to the other side x = -12

Can i have brainly please

The function that represents the equation in table A is: f(x) = 6x + 15

The function that represents the equation in table B is: g(x) = -2x + 7

The formula to find the linear equation between two coordinates is expressed by the formula:

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

For table A, we are going to use two coordinates namely:

(0, 15) and (1, 21) and we have:

(y - 15)/(x - 0) = (21 - 15)/(1 - 0)

(y - 15)/x = 6

y - 15 = 6x

y = 6x + 15

For table B, we are going to use two coordinates namely:

(0, 7) and (1, 5)

Thus:

(y - 7)/(x - 0) = (5 - 7)/(1 - 0)

y - 7 = -2x

y = -2x + 7

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Answer:

9

Step-by-step explanation:

n=3, a=729

For any odd integer, n ; a will have only one real nth root which will be a positive integer.

Similarly, for any integer, n, that is > 1 ; related by the expression ;

p^n = a ; the nth root of a = p

Therefore,

If n = 3 ; a = 729

p^3 = 729

To obtain the value of p ; take the cube of both sides

(p^3)*1/3 = 729^1/3

p = 9

Hence, the real nth root of 729 is +9 when n = 3

Answer:

7/12

Step-by-step explanation:

I gave all of the fractions a common denominator:

1/6= 2/12

5/12= 5/12

1/4= 3/12

1/6= 2/12

Then, I added the 2/12 (from 0-1 hours) and 5/12 (from 1 1/2-2 hours). THis will give the complete range of 0-2 hours.

Hope this helps!