Use the distributive property to find the value of x.

-1.2(3 – x) = -1.8

-3.6 + 1.2x = -1.8

1.2x = 1.8

x = ___

The quotient when 480 is divided by -60 is 8.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

The numbers given are 480 and -60.

Both are in opposite signs, that is one negative and other positive.

So the quotient will be negative.

Now divide 480 by 60.

Since both of the numbers contain 0 at the end, cancel it.

Then it becomes 48 divided by 6.

48 / 6 = 8

Hence the quotient is 8.

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Answer:17

Step-by-step explanation:

b(1)=16

b(n)=b(n-1)+1

b(2)=16(2-1)+1

b(2)=16(1)+1

b(2)=16+1

b(2)=17

Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

Ms. McCarty uses 1/10 fraction of the sheet of paper to make a flower

Ms.McCarty uses 1/2 of a piece of construction paper

She uses 1/5 of this quantity to make a flower

Therefore the fraction of the sheet of paper used to make the flower can be calculated as follows

1/2 × 1/5

= 1/10

Hence she uses 1/10 of the sheet of paper to produce the flower

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Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

In flowchart, If the dice do not show the same number, add 0 points to the player's score.

A flowchart quick answer is what it sounds like.

A flowchart is a diagram that shows a procedure, a system, or a computer algorithm. It is a diagrammatic representation of a particular problem's solution, but more significantly, it breaks out the crucial actions that must be taken in order to solve the problem.

1.Roll three dice

2.Compare numbers on the dice

3.If two dice show the same number, add 10 points to the player's score

4.If three dice show the same number, add 25 points to the player's score

5.If the dice do not show the same number, add 0 points to the player's score.

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Answer:

2 forms

Step-by-step explanation:

hope this helps <3

\( \sf \longrightarrow \: \frac{8}{5} \div 6 \\ \)

\( \sf \longrightarrow \: \frac{5}{8} \times 6 \\ \)

\( \sf \longrightarrow \: \frac{5 \times 6}{8} \\ \)

\( \sf \longrightarrow \: \frac{30}{8} \\ \)

\( \sf \longrightarrow \: \frac{8}{30} \\ \)

\( \sf \longrightarrow \: 0.26 \\ \)

_____________________________

NIMS incident command and coordination is based on fourteen NIMS Management Characteristics.

On fourteen NIMS Management Characteristics, NIMS bases incident command and coordination. The National Incident Management System's fourteen traits serve as pillars, enhancing its durability and effectiveness.

The ICS organizational design is adaptable. To improve internal organizational administration and coordination with the outside world, distinct functional elements can be formed and split as needed.

In all, NIMS integration is supported by 14 implementation objectives. NIMS is adaptable and suitable for all kinds of schools, school systems, and educational organizations, just as it applies to all kinds of emergency occurrences.

The following 14 NIMS management traits, each of which adds to the overall system's strength and effectiveness, form the foundation of the Incident Command System (ICS): Typical Language.

Therefore, the correct answer is option C. 14.

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Answer:2r + 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x+6=46

x=8

2x+6=22

x=8

6x+1=25

x=8

Last question something wrong

The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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Answer:

The original price of the school supplies was $19

Step-by-step explanation:

Percentages

If the original price of the school supplies is x, and being the tax rate of 6%, then the after-tax price is x+6/100x=1.06x.

We know that final price, thus:

1.06x=20.14

x=20.14/1.06=19

The original price of the school supplies was $19

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)

The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.

Let the amount of money loaned at 9% be x

the amount of money loaned at 11% be y

According to the question,

Total money loaned = 20,500

Thus the equation formed is,

x + y = 20,500 ------ (i)

Simple interest is calculated by

I = P * r * t

where I is the simple interest

r is the rate of interest

t is the time

Thus, the interest on x = 0.09x

the interest on y = 0.11y

Total interest gained = 2,225

Thus the equation formed is,

0.09x + 0.11y = 2225 -------(ii)

Multiply (i) by 0.09

0.09x + 0.09y = 1845

Subtract the above from (ii)

0.02y = 380

y = 19000

x = 1500

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Answer:

The discriminant is negative, there are no real solutions to this equation. This means that the product will never sell approximately 225 units.

Step-by-step explanation:

We are given the sales function s(t) = -14t^2 + 14t.

We want to find t such that s(t) = 225.

-14t^2 + 14t = 225

Multiplying both sides by -1 and rearranging, we get:

14t^2 - 14t + 225 = 0

We can use the quadratic formula to solve for t:

t = (-(-14) ± sqrt((-14)^2 - 4(14)(225))) / (2(14))

t = (14 ± sqrt(14^2 - 4(14)(225))) / (2(14))

t = (14 ± sqrt(14^2 - 12600)) / 28

t = (14 ± sqrt(196 - 12600)) / 28

t = (14 ± sqrt(-12404)) / 28

Since the discriminant is negative, there are no real solutions to this equation. This means that the product will never sell approximately 225 units.

Answer:

The number is 546.208 in standard form.

Step-by-step explanation:

The standard form consist in the presentation of given number in decimal format. The proceeding is described as follows:

1) Each component of the sum is simplified.

2) Results are summed to get number in standard form.

That is,

Step 1

\(5 \times 100 = 500\)

\(4 \times 10 = 40\)

\(6 \times 1 = 6\)

\(2 \times \left(\frac{1}{10} \right) = 0.2\)

\(0 \times \left(\frac{1}{100}\right) = 0.00\)

\(8 \times \left(\frac{1}{1000} \right) = 0.008\)

Step 2

\(x = 500 + 40 + 6 + 0.2 + 0.00 + 0.008\)

\(x = 546.208\)

The number is 546.208 in standard form.

The number in standard form is written as 546.208

Given :

\(5 \cdot 100+4 \cdot 10+6\cdot1+2\cdot( \frac{1}{10} )+8\cdot( \frac{1}{1000} )\)

Write it in standard form

To write it in standard form , we multiply the numbers and add it all

\(5 \cdot 100=500\\4 \cdot 10=40\\6\cdot 1=6\\2\cdot( \frac{1}{10} )=0.2\\8\cdot( \frac{1}{1000} )=0.008\)

Now we add all the decimal values

\(500+40+6+0.2+0.008= 546.208\)

The number in standard form is written as 546.208

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Answer:

D) 32

Step-by-step explanation:

Given;

series: 56, 54, 50, 38, 34, ....

find the difference between successive numbers;

56         54        50             38            34             x

     2            4             12              4             2            

The highest difference between the numbers is  12, after which it decreases to 4 and finally back 2.

The next number "x" is calculated as;

34 - 2  = x

34 - 2 = x

32 = x

Therefore, the next number should be 32.

The next number that should come next in the series is 32.

Sequence is an arrangement of two or more things in a successive order.  Series is the cumulative sum of a given sequence of terms.

Given the numbers in the series: 56, 54, 50, 38, 34, . . ..

The difference is 2, 4, 12, 4, 2

The highest difference between the numbers is  12, after which it decreases to 4 and finally back 2. Hence:

The next number = 34 - 2 = 32

The next number that should come next in the series is 32.

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Explanation:

We have that two of the sides of triangle ABC are congruent to two of the sides of triangle BAD. We can also see that the third side is also congruent, because segment AB is shared for both triangles. Therefore: AB = BC.

Answer:

ΔABC ≅ ΔBAD

Reason: SSS

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

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The composition (f - g)(x) has a value of (c) (f - g)(x) = -2√x

The definitions of the functions are given as

f(x) = √4x and g(x) = √16x

Evaluate the square roots in the above equations

This gives

f(x) = 2√x and g(x) = 4√x

To find the composition (f - g)(x), we make use of

(f - g)(x) = f(x) - g(x)

Substitute the known values in the above equation So, we have the following equation

(f - g)(x) = 2√x - 4√x

Evaluate the like terms

This gives

(f - g)(x) = -2√x

Hence, the value of the composition is (c) (f - g)(x) = -2√x

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I did not understand Q3 and I could not, but I understood Q2

The answer is Q2: 12 liters

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Answer:

C) 640%

Step-by-step explanation:

6 2/5

Convert it to an improper fraction -

6 2/5 = 32/5

Convert the improper fraction to a decimal -

32/5 = 6.4

Multiply 6.4 by 100

= 640%

Hope this helps :)

Answer: Oooohhhh, I knew the answer the answer is 640%.

Step-by-step explanation: So start by separating the parts: \(6+\frac{2}{5}\),

Then I know that \(\frac{2}{5} = 2/5\),

∴ \(6\frac{2}{5} = 6+(2/5)\),

Then I use The Long Division for 2 divided by 5, so I have \(6+0.4=6.4\),

And last but not least is onverting our number to a percentage: \(6.4*10=640%\) (Rounded to a Max of 2 Decimal Places.), so I hope this formula could be helpful, but if you have struggle to convert the mixed number fraction to percentage, please ask me, okay? :)

The perimeter of the rectangle.

= 2 ( length + width )

The perimeter of the rectangle in scientific notation is 1.04 x \(10^{11}\).

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Length = 4.6 x \(10^{5}\) cm

Area = 2.76 x \(10^{12}\) cm²

Now,

Area = 2.76 x \(10^{12}\) cm²

Length x width = 2.76 x \(10^{12}\) cm²

4.6 x \(10^{5}\) x width = 2.76 x \(10^{12}\)

Width = 2.76 x \(10^{12}\) cm² / 4.6 x \(10^{5}\)

Width = 0.6 x \(10^{7}\)

Now,

The perimeter of the rectangle.

= 2 ( length + width )

= 2 ( 4.6 x \(10^{5}\) + 0.6 x \(10^{7}\) )

= 2 x 5.2 x \(10^{12}\)

= 10.4 x \(10^{12}\)

Scientific notation is the way of writing a large number between 1 to 10 with a power of 10.

= 1.04 x \(10^{11}\)

Thus,

The perimeter of the rectangle in scientific notation is 1.04 x \(10^{11}\).

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A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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Answer:

\(\displaystyle y = -3x + 9\)

Step-by-step explanation:

First, find the rate of change of the line:

\(\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{-1 + 2} = m \hookrightarrow \frac{-3}{1} = m \\ \\ \boxed{-3 = m}\)

_______________________________________________

Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

\(\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}\)

I am joyous to assist you at any time.

Answer:

to much math

Step-by-step explanation:

Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.

What is Journal Entry?

The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.

This question is related to the account and finance subject.

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