4(c + 3) = t
solve for c

Answer:

Attached below is the missing figure

answer :  ∠ABD = ∠AbC  + ∠ CbD

Step-by-step explanation:

when Line BC is drawn to divide ∠ABD equally

solving each angle :

∠ABD  >  ∠AbC also angle

∠ABD  >  ∠ CbD

∴ ∠ABD = ∠AbC  + ∠ CbD

assuming ∠B = 60°

therefore ∠b = 60 / 30 = 30°

The circumference of the paper plate is approximately 73.39 cm.

The formula for the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius of the circle. In this case, the radius of the paper plate is given as 11.7 cm.

To calculate the circumference, we can substitute the value of the radius into the formula: C = 2π(11.7). Using the approximation of π as 3.14 (as suggested by the "z" button on the calculator), we can simplify the equation: C ≈ 2(3.14)(11.7).

Evaluating this expression, we find that the circumference is approximately equal to 73.39 cm when rounded to the nearest hundredth.

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Answer:

77.5

Step-by-step explanation:

Answer:

77.5

Step-by-step explanation:

The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.

The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.

The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.

Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.

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Answer:

a = 15 /100  * 28.62 = 4293 /1000

= 4.293

Hope this helps! :)

Answer:

0.6¯1°

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Take the price of each can and multiply by the cost of the cans

.95x

This must be less than or equal to 4.75

.95x ≤ 4.75

They may choose to use an equals sign,  since they asked for an equation

.95x = 4.75

Answer: 0.95x = 4.75

Step-by-step explanation:

Since we do not know how much George can buy, we will put x as 0.95x

If you solve 0.95x=4.75 by dividing 0.95 on both sides you will get the number of cans he can buy which is 5.

Answer:

2-(3x-4) = 2x -9

-6x + 8 = 2x - 9

6x = 17

x = 2.833

3 approximately

Answer:

56

Step-by-step explanation:

The mode of a data set is the number that appears the most, which in this situation would be 56

:D

Therefore, we can classify the polynomial as a quadratic polynomial.

A polynomial is a mathematical expression that consists of variables and coefficients, and involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and may contain multiple terms. Each term consists of a coefficient and a variable raised to a power. The degree of a term is the power to which the variable is raised, and the degree of a polynomial is the highest degree of any of its terms. Polynomials are used in many areas of mathematics, science, and engineering, such as algebra, calculus, geometry, and physics. They are used to model real-world phenomena, to solve equations, and to approximate complex functions.

Here,

To write the polynomial 14y² - x² - 3xy in standard form, we need to arrange the terms in descending order of degree (highest degree term first) and combine like terms.

First, let's rearrange the terms:

x² - 3xy + 14y²

Now, the polynomial is in descending order of degree. We don't need to do anything else to put it in standard form.

To classify the polynomial, we count the number of terms and the highest degree of those terms. In this case, there are three terms and the highest degree term is 14y², which has degree 2.

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Given:

The equation is:

\(270=3e^{2.4K}\)

To find:

The solution for the given equation to the nearest hundredth.

Solution:

We have,

\(270=3e^{2.4K}\)

Divide both sides by 3.

\(\dfrac{270}{3}=e^{2.4K}\)

\(90=e^{2.4K}\)

Taking ln on both sides, we get

\(\ln (90)=\ln e^{2.4K}\)

\(\ln (90)=2.4K\)                  \([\because \ln e^x=x]\)

Divide both sides by 2.4.

\(\dfrac{\ln (90)}{2.4}=K\)

\(\dfrac{4.4998}{2.4}=K\)           \([\because \ln (90)\approx 4.4998]\)

\(1.874916667=K\)

Round the value to the nearest hundredth (two decimal place)

\(K\approx 1.87\)

Therefore, the value of K is 1.87.

Answer:

15x -45y +180

Step-by-step explanation:

5(3x)= 15x

5(26)= 130

5(-9y)= -45y

5(10)= 50

combine like terms:

15x - 45y +180

Answer:

So what you're being asked to do for #4 is graph the line. The y-intercept would be -2, and then a line with a slope of 1/3(rise over run) will go through that y-intercept. For the second one, you need to convert it to y = mx + b form and then do the same thing.

We will apply the principle of similar triangles to solve this question

Given that

Method: Find side AC

We will use the Pythagoras theorem to evaluate AC

T

The system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store are;

y = 50x + 100    ------(eq 1)

y = 75x + 50    ------(eq 2)

A) Let the total cost of the cat tree be y

Let each additional piece added be x.

Since basic tree is $100 and each additional platform costs $50, then we can say that;

y = 50x + 100    ------(eq 1)

Now, their basic cat tree starts at $50 and each additional piece costs $75. Thus;

y = 75x + 50    ------(eq 2)

B) Subtract eq 1 from eq 2 to gte;

25x - 50 = 0

25x = 50

x = 50/25

x = 2

y = 75(2) - 50

y = $100

C) The Store that would be cheaper depending on the add - ons is Puuur Place because as x increases, it's y-value increases at a lesser rate than that of Meow.

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Answer:

30 persons

Step-by-step explanation:

Let's create a proportion using the following setup:

persons/rice=persons/rice

We know that 12 persons can eat 8 kilograms of fried rice.

12 persons/ 8 kg of rice= persons/rice

We also know that x (unknown) persons can eat 20 kilograms of fried rice.

12 persons/ 8 kg of rice= x persons/ 20 kg of rice

12/8=x/20

x is being divided by 20. The inverse of division is multiplication. Multiply both sides of the equation by 20.

20(12/8)=(x/20)20

20*12/8=x

20*1.5=x

30=x

30 persons can eat 20 kilograms of fried rice.

Answer:

30 people

Step-by-step explanation:

1) Set up a proportion, 8kg/12 = 20kg/x

2) Do cross multiplication to solve for x

3) x = 30 people

The interquartile range of the data represented in the box-and-whisker plot is given as follows:

IQR = 3.

The measures represented in the box-and-whisker plot are given as follows:

The interquartile range is calculated as the difference between the third quartile and the first quartile.

Hence the correct value is given as follows:

IQR = 18 - 15

IQR = 3.

Meaning that the last option is the correct option.

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Answer:

\(\frac{rt}{s}\)

Step-by-step explanation:

Product is the answer in multiplication and that product is divided by s.

The expanded form of the number 27.430 is 20 + 7 + 0.400 + 0.30.

A billing statement is a recurring statement that details every transaction made on your credit card account during the billing cycle, including purchases, payments, and other debits and credits. Every month or so, your credit card company will send you a billing statement.

Given that the number is 27.430. The expanded form of the number is written as:-

Expanded form:-

27.430 = 20 + 7 + 0.400 + 0.30.

When we add all the values of the expanded form we will get the previous value.

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Answer:

The cubic function f(x) = x3 is symmetric about the origin (it is an odd function). Here are some types of functions that are odd: Lines Through The Origin – any line with a zero y intercept (b = 0) and a nonzero slope (m not zero) will have equation f(x) = mx.

Step-by-step explanation:

Answer: No

f(x) = x³ + 2x − 5

Step-by-step explanation:

No

f(x) = x³ + 2x − 5

Answer:

5

Step-by-step explanation:

because its squared 5 but 5 regular is almost 4 if u look at bottom theres 4 so x is 5

Answer:

$125

Step-by-step explanation:

because 3 is less than 5 you round down and 1 will still be there and less than 5 so round down again which leaves you with a whole number of 125

hope this helps :)

Answer:

$125

Step-by-step explanation:

For $125 to round to $126 the number the decimal would have to be .5, and .13 is less than .5, so the number rounds down to $125.

I hope this helps, and have a great day! :)

Answer: A = 2000 / m

Step-by-step explanation:

Here is the complete question:

Members of the band sold juice and popcorn at a college football game to raise money for an upcoming trip. The band raised $2,000. The amount raised is divided equally among the m members of the band.

Which equation represents the amount, A, each member receives?

To find the equation represents the amount, A, each member receives, we have to divide the amount raised by the band by the numbers on the band. This will be:

A = 2000 / m

Answer:

k = -0.4

Step-by-step explanation:

Step 1: Write equation

2k + 9 = 7 - 3k

Step 2: Solve for k

Step 3: Check

Plug in k to verify it's a solution.

2(-0.4) + 9 = 7 - 3(-0.4)

-0.8 + 9 = 7 + 1.2

8.2 = 8.2

Answer:

k = -0.4

Step-by-step explanation:

there is the answer i got it from my test!:) have a great rest of your day!

The given function shifted 3 units left is log(x+3), vertical compression by factor 2 is 2log(x+3), Reflection across the y-axis is 2log (-x+3) and shifted down by 5 units is 2log(-x+3)-5.

Given the parent function with base 10.

We want to find the given transformations.

The given parent function is y=log(x)

Firstly, we want to shift the given parent function 3 units left means we will add 3 in the parent function, we get

y=log(x+3)

Now, we want to do vertical compression by a factor of 2 means we will multiply the above function with 2, we get

y=2log(x+3)

Further, we want to reflected the above function across the y-axis means we will multiply the x with minus, we get

y=2log(-x+3)

Furthermore, we want to shift the above function down with 5 units means we will subtract 5 from the above function, we get

y=2log(-x+3)-5

Hence, the given parent function y=log(x) when shifted 3 units left is log(x+3), vertical compression by factor 2 is 2log(x+3), Reflection across the y-axis is 2log (-x+3) and shifted down by 5 units is 2log(-x+3)-5.

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AREA

=================================================================

This is the formula for finding area :

\(A=\pi r^{2}\)

We know that r=8:

\(A=\pi (8)^2\)

Square:

\(A=64\pi\)

We leave our Answer in this form, since we need it in terms of pi.

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Considering the definition of an inequality, the number of minutes she will run today will be more than 72 minutes.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "t" the number of minutes Raina will run today, the inequality is

t÷ 8> 9

Solving:

t > 9×8

t > 72 minutes

Finally, the number of minutes she will run today will be more than 72 minutes.

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Answer:

182

Step-by-step explanation:

260 x 30% = 78

260 - 78 = 182

Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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The exact relationship between x and y may vary depending on the material and design of the object.

The relationship between the variables x and y, in terms of length and weight, is that as the length of the object (x) increases, the weight or load it can bear (y) also increases.

This is because the longer an object is, the more support it can provide, and the more weight it can hold without breaking or collapsing.

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