What is the difference (2 x - 3) - (x - 1)?
x minus 4
x minus 2
x + 2
x + 4

Answer:

A inch

Step-by-step explanation:

Answer:

Howard invested $40,000 in the 8% stock and $10,000 in the 10% stock.

The amount Howard invested in the 8% stock is $45000.

Simple interest is interest paid or computed on the original principal only of a loan, investment, or deposit for a specific period.

Given that, Howard invested $50,000 in two different types of stocks. The first type earned 8% profit and the second type earned 10% profit, the profit on the 10% stock was $1,400 more than the profit on the 8% stock,

We need to find the amount Howard invest in the 8% stock,

SI = PRT / 100

So,

50000 × 10 / 100 - (50000-x) × 8 / 100 = 1400

500000 - 400000 + 8x = 140000

8x = 40000

x = 5000

So, Howard invested 50,000 - 5000 = $45000 in 8% stock.

Hence, the amount Howard invested in the 8% stock is $45000.

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Menjawab:

y + 2x

Penjelasan langkah demi langkah:

Menulis ulang pertanyaannya

4log5 = x

4log 6 = y

4 log 150 = 4log (2 * 3 * 5 * 5)

= 4log 6 + 4log 5 + 4log 5

Substrat

= y + x + x

= y + 2x

Oleh karena itu ekspresi yang dibutuhkan adalah y + 2x

Log(1), log(-1), log(i) and ii are all numbers written in the form a + bi. Log(1) = 0; log(-1) = undefined; log(i) = 0.5i; ii = -1; a = -1 and b = 0 because the number is in the form a + bi.

Given numbers are;• log(1)• log(-1)• log(i)• iiFor all numbers written in the form a + bi, we must find a and b. Here's how to do it: log(1)In this case, the log is taken in base 10. The result of this is 0. So, we have: log(1) = 0Therefore, a=0 and b=0 because the number is not in the form a + bi. log(-1)In this case, the log is taken in base 10. The result of this is undefined. This is because there is no power to which we can raise 10 to get -1. So, we have: log(-1) = undefinedTherefore, a=undefined and b=undefined because the number is not in the form a + bi. log(i)In this case, the log is taken in base 10. The result of this is 0.5iπ. So, we have: log(i) = 0.5iπTherefore, a=0 and b=0.5π because the number is in the form a + bi. iiIn this case, we are finding the square of i. i is a complex number given as i = 0 + 1i. Therefore, we have: i2 = (0 + 1i)2= (0)2 + 2(0)(1i) + (1i)2= -1This is because i2 = -1. Now, we can write ii as: ii = i × i= (0 + 1i) × (0 + 1i)= 0 + 0i + 0i + 1i2= -1So, we have: ii = -1Therefore, a=-1 and b=0 because the number is in the form a + bi.

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Answer: 2 less than 7 times a number =33

Step-by-step explanation:

Answer:

C. Two less than seven times a number equals 33

Step-by-step explanation:

The correct answer would be the one you chose, or C. Two less than seven times a number equals 33

This is because 7 is being multiplied by x, which is a number, and then that is being subtracted by 2, and the total comes out to 33.

Hope this helps :)

Answer: Any straight line segment can be extended indefinitely.

Step-by-step explanation:

One of the postulates of the Euclidean geometry states that any straight line segment can be extended indefinitely in a straight line. So according to this postulate, the first one is correct.    

Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

Firstly, to distribute means to divide something or give a share or part of something.

Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

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Answer:

it lies between P and R because I tootk the test

Answer:

permutations: order matters

combinations: order doesn't matter

Answer:

A combination doesn't need to be in a specific order, unlike permutation which needs to go in order.

Step-by-step explanation:

Notice that

2⁶ = 64

2⁷ = 128

and

log₂(2⁶) = 6 log₂(2) = 6

log₂(2⁷) = 7 log₂(2) = 7

so log₂(75) lies between (c) 6 and 7.

Explanation:

We want a dice sum larger than 8. Meaning we want the sum to be either: 9, 10, 11, or 12

Here are the four ways to add to 9

3 + 6 = 9

4 + 5 = 9

5 + 4 = 9

6 + 3 = 9

Here are the three ways to add to 10

4 + 6 = 10

5 + 5 = 10

6 + 4 = 10

and here are the two ways to add to 11

5 + 6 = 11

6 + 5 = 11

and finally there's only one way to get a sum of 12

6 + 6 = 12

There are 4+3+2+1 = 10 different sums we want out of 6*6 = 36 dice rolls possible.

That's how we get to 10/36 as the final answer.

10/36 reduces to 5/18, but it appears your teacher decided not to reduce.

The correct option is D.

The probability of rolling a value higher than eight with a pair of fair dice is 4/36 or 1/9.What is the probability of rolling a value higher than eight with a pair of fair dice?To find the probability of rolling a value higher than eight with a pair of fair dice, you have to find the number of ways to get a sum greater than 8 and divide it by the total number of possible outcomes when rolling two dice.The maximum sum that can be obtained by rolling two dice is 12 (6 + 6). So, we need to find the number of ways that we can obtain 9, 10, 11, or 12. The possible combinations are:(3,6), (4,5), (5,4), (6,3), (4,6), (5,5), (6,4), (5,6), (6,5), and (6,6).Therefore, there are 10 possible outcomes in which the sum of the two dice is greater than 8. The total number of possible outcomes when rolling two dice is 6 × 6 = 36.So, the probability of rolling a value higher than eight with a pair of fair dice is:10/36 = 5/18 or approximately 0.277 or 27.7%.

Therefore the correct answer is option D ) 8/36.

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Answer: 3480 seconds and 5420 feet

Step-by-step explanation:

We can set an equation for both Keith and Erica. Let t = time in seconds.

Keith's BalloonHeight = 1.5*t+200ft

Erica's Balloon Height = 1.4*t+548ft

We want to know when E=K (same height)

1.4*t+548ft = 1.5*t+200ft

348 = 0.1t

t = 3480 seconds

Use this time in either Keith's or Erica's Height formula:

Keith Balloon Height: 1.5*t+200ft for t=3480

1.5*(3480)+548

Keith's Height in 3460 sec: 5420 feet

Erik's Balloon Height: = 1.4*t+548ft

= 1.4*(3480)+548ft

Erik's Height in 3480 sec: 5420 feet

The two lines intersect at (3460,5420). At 3460 seconds both balloons will be at 5420 feet.

If the "fitted-line" has a slope of 8.42, then the correct interpretation is (c) On average, each 1 million dollar increase in salary is linked with 8.42 point increase in the "winning-percentage".

The "Slope" of the "fitted-line" represents the change in the response variable (winning percentage) for each unit increase in the predictor variable (salary of head coach, in millions of dollars).

In this case, the slope is 8.42, which means that on average, for every 1 million dollar increase in salary, there is an associated increase of 8.42 points in winning percentage.

Therefore, Option (c) is the correct interpretation of slope.

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The given question is incomplete, the complete question is

Abigail gathered data on different schools' winning percentages and the average yearly salary of their head coaches (in millions of dollars) in the years 2000-2011. She then created the following scatterplot and regression line.

The fitted line has a slope of 8.42.

What is the best interpretation of this slope?

(a) A school whose head coach has a salary of $0, would have a winning percentage of 8.42%,

(b) A school whose head coach has a salary of $0, would have a winning percentage of 40%,

(c) On average, each 1 million dollar increase in salary was associated with an 8.42 point increase in winning percentage,

(d) On average, each 1 point increase in winning percentage was associated with an 8.42 million dollar increase in salary.

Hello!

- it is rectangular: it has a right angle

- but it is also isosceles: it has two equal sides starting from the right angle

so this triangle is an iscoceles right triangle

The value of x  is 16 cm.

What is the equilateral triangle?

An equilateral triangle is a type of triangle that has three sides of equal length and three equal angles of 60 degrees each. All equilateral triangles are also equiangular and isosceles triangles. The sides of an equilateral triangle are congruent, and it is symmetrical in all ways, meaning that it has rotational and line symmetry.

We have given,

Lengths of sides:

16 cm,  16cm, and x cm,

we have to find the value of x.

The given triangle is an equilateral triangle,

so, The length of all three sides of an equilateral triangle is equal.

16 cm = 16cm =  x cm,

x = 16 cm

Hence, The value of x  is 16 cm.

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The if statement assigns a value of 10000 to the variable "bonus" if the value of the variable "goodssold" exceeds 500000.

To achieve this, we can use an if statement in programming. An if statement allows us to conditionally execute a block of code based on a specified condition. In this case, the condition is whether the value of the variable "goodssold" is greater than 500000. If the condition evaluates to true, the code inside the if statement will be executed, and the variable "bonus" will be assigned a value of 10000.

Here's an example of how the if statement can be written in Python:

if goodssold > 500000:

   bonus = 10000

In this code snippet, the variable "goodssold" represents the number of goods sold, and we compare its value to 500000 using the greater than operator (>). If the condition is true, the code inside the if statement is executed, and the variable "bonus" is assigned a value of 10000. If the condition is false, the code inside the if statement is skipped, and the variable "bonus" retains its previous value (if any).

By using this if statement, we can dynamically assign a bonus of 10000 to the variable "bonus" based on the value of the variable "goodssold" being greater than 500000. This allows for flexible and conditional handling of the bonus calculation in the program.

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The factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is \(ax^2 + bx + c = 0,\)

Here in the graph we can see that the x coordinate cut by the curve of the quadratic equation is in the negative side of x at -1 and -5.

So the factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.

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Answer:

Check Screenshot

Step-by-step explanation:

The exponents a and b in the simplified expression are:

a = 1

b = 7

Remember the rules for exponents:

\(a^x*a^y = a^{x + y}\\\\a^x/a^y = a^{x - y}\\\\(a^x)^y = a^{x*y}\)

Now we need to use these rules to simplify our expression:

\(\frac{x^2(y^3)^4}{x*y^5}\)

We can rewrite that as:

\(\frac{x^2(y^3)^4}{x*y^5} = \frac{x^2}{x} *\frac{(y^3)^4}{y^5} = x^{2 - 1}\frac{y^{3*4}}{y^5} \\\\= x*y^{12 - 5} = x*y^7\)

Then the values of a and b are:

a = 1

b = 7

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Answer:

the original price of the product is $109.20

Answer:

109.2

Step-by-step explanation:

First multiply: 78 × 40 = 3120

Then Divide by 100: 3120 ÷ 100 = 31.2

Then add 31.2 to the sales price: 78 + 31.2 = 109.2

The contrapositive of the theorem: "for any two real numbers, x and y, if x and y are both rational then x + y is also rational" is given by this:

If x + y is irrational then x is irrational or y is irrational.

If we have two statements p and q, such that p ⇒ q, then the contrapositive of this relation is q' ⇒ p', that is negative of q implies a negative of p.

Let our statements be,

p: x and y are both irrational

∴ p': x is irrational or y is irrational

q: x + y is irrational.

∴ q': x + y is irrational.

The given theorem is the relation, p ⇒ q.

We are asked to find the contrapositive of this theorem. The contrapositive of the relation is, q' ⇒ p'.

This relational statement is:

If x + y is irrational then x is irrational or y is irrational.

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Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

Answer:

Below

Step-by-step explanation:

3ax = (m+n)       divide both sides by 3 a

x = (m+n) / 3a       that's it

Answer:

D 141

Step-by-step explanation:

since it has to equal 180 just add each answer to the other number on the diagram so you answer us

39 + 141= 180

141

PLZ MARK ME BRAINLIEST

Answer:

D just got it on edg

Step-by-step explanation:

Answer: 25.00$

Step-by-step explanation:50.00 take away 50% from it you have 25$

Answer:

$25

Step-by-step explanation:

It would be 25 because half of 50 is 25.

Answer:

44.09

Step-by-step explanation:

The "f-number" for a lens is determined by dividing the focal length of the lens by its diameter. In this case, the focal length is 25 cm and the diameter is 15 cm, so the f-number would be 1.67 (25/15).

The f-number, also known as the focal ratio or f-stop, is a measure of the light-gathering ability of an optical system, such as a camera lens [1]. It is calculated by dividing the system's focal length by the diameter of the entrance pupil or clear aperture. In the given scenario, a lens of diameter 15 cm with a focal length of 25 cm would have an f-number of 1.7, calculated by dividing the focal length (25 cm) by the diameter of the entrance pupil (15 cm) . Therefore, a lens with these specifications would have an f-number of 1.7.

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The number 3600 at the end of solving the problem represents the final result.

In order to understand where the number 3600 came from at the end of solving the problem, we need to examine the steps taken during the solution process.

Let's assume we were solving a mathematical problem and arrived at the equation 120 + 3600 = 3720. The equation implies that by adding 120 and 3600 together, we obtain the sum of 3720. However, in this context, we are specifically interested in the origin of the number 3600.

To determine where this number came from, we would need to review the specific calculations or operations conducted before arriving at the final equation.

It could be the result of performing a series of mathematical operations such as multiplication, division, or exponentiation. The detailed calculations leading up to the addition of 120 and 3600 would provide the necessary context to understand the origin of the number 3600.

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