What is the value of 7/8+ (-2/3) - (-4)?

The constant term that should be used to complete the square? x2 - 5x + _____ = 7 is 25/4

What is quadratic equation ?

A quadratic equation in the variable x is of the form. ax2 + bx + c = 0, where a, b, c are real numbers and a ≠ 0. • Roots of a quadratic equation : A real number α is said to be a root of the. quadratic equation ax2 + bx + c = 0, if aα2 + bα + c = 0.

Given:

x^2-5x+c=7, the constant term c will be obtained using the formula:

c=(-b/2a)²

The quadratic equation in its generic form is:

ax^2 + bx + c

To complete squares we must add the following term:

(b / 2) ^ 2

The equation is:

ax^ 2 - 5x + k = 7

By completing squares we have:

x ^ 2 - 5x + (-5/2) ^ 2 = 7 + (-5/2) ^ 2

Rewriting:

x ^ 2 - 5x + 6.25 = 7 + 6.25

Hence, A constant term should be used to complete the square is 25/4 or 6.25.

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Answer:

27/8

Step-by-step explanation:

First, note that 3 3/8 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:

3 = whole number

3 = numerator

8 = denominator

To convert mixed number 3 3/8 to improper fraction, you follow these steps:

1. Multiply the whole number by the denominator

  3 × 8 = 24

2. Add the product from Step 1 to the numerator

   24 + 3 = 27

3. Write answer from Step 2 over the denominator

   27/8

The mixed number 3 3/8 converted to improper fraction is therefore :

27/8

Answer:

The graph of the equation "y - 1 = (x - 3)" is a straight line.

To graph this equation, we can start by rearranging the equation to get "y = x - 3 + 1". This simplifies to "y = x - 2".

This equation is in slope-intercept form, which means that the slope of the line is given by the coefficient of the x term, and the y-intercept (the point where the line crosses the y-axis) is given by the constant term. In this case, the slope is 1 and the y-intercept is (-2, 0).

To graph the line, we can start by plotting the y-intercept at the point (0, -2). Then, we can use the slope of 1 to find a second point on the line and draw a straight line through these two points. The graph of the equation "y = x - 2" is shown below:

[asy]

unitsize(1.5cm);

draw((-1.5,0)--(1.5,0));

draw((0,-2.5)--(0,2.5));

draw((-1.5,-2)--(1.5,2),dashed);

label("$x$", (1.5,0), E);

label("$y$", (0,2.5), N);

[/asy]

The graph of the equation "y - 1 = (x - 3)" is the same as the graph of the equation "y = x - 2", except that all the y-values on the graph are increased by 1. This means that the graph of the equation "y - 1 = (x - 3)" is obtained by shifting the graph of "y = x - 2" upward by 1 unit. The graph of the equation "y - 1 = (x - 3)" is shown below:

[asy]

unitsize(1.5cm);

draw((-1.5,0)--(1.5,0));

draw((0,-2.5)--(0,2.5));

draw((-1.5,-1)--(1.5,3),dashed);

label("$x$", (1.5,0), E);

label("$y$", (0,2.5), N);

[/asy]

The answer choices given in the question do not match the description of the graph of the equation "y - 1 = (x - 3)". "O" does not match the description of the graph, as it is not a graph of a straight line. "(-31)" and "10" do not match the description of the graph, as they are not graphs at all. "CO" does not match the description of the graph, as it is the graph of a circle, not a straight line. "8" does not match the description of the graph, as it is the graph of an exponential function, not a straight line. "fi" does not match the description of the graph, as it is not a graph of a function. "Q" does not match the description of the graph, as it is not a graph at all. "4." does not match the description of the graph, as it is not a graph of a function. "y" does not match the description of the graph, as it is not a graph at all.

The notation of the limit as a definite integral is given as follows:

[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}} = \int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]

The limit for this problem is defined as follows:

[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}}[/tex]

This is a limit of a Riemann sum, hence it can be written as a definite integral according to the rule presented as follows:

[tex]\int_a^b f(x) dx = \lim_{n \rightarrow \infty} \sum_{i = 1}^{n} f(a + \Delta_x i) \Delta_x[/tex]

As the second term is only a factor of n, the Delta is given as follows:

[tex]\Delta_x = n^{-\frac{3}{2}}[/tex]

As the a term does not appear in the function, the value of the coefficient a is given as follows:

a = 0.

The parent function dependent on k is given as follows:

[tex]f(x) = \sqrt{x}[/tex]

The parameter b is obtained as follows:

[tex]\Delta_x = \frac{b - a}{n}[/tex]

[tex]n^{-\frac{3}{2}} = \frac{b}{n}[/tex]

[tex]b = n^{-\frac{1}{2}}[/tex]

(the parameter n is not given).

Hence the definite integral is obtained as follows:

[tex]\int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]

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The solution to the inequality is (-∞, 4.05) .An inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expressions.

Both equations and inequalities are mathematical phrases created by connecting two expressions.

The equal sign (=) in an equation denotes that the two expressions are regarded as equal.

In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,,, or.

Given the inequality:

-3(4 – x) 6 < 9 – 2x

Solving the inequality:

(-12 + 3x)6 < 9 - 2x

-72 + 18x < 9 - 2x

20x < 81

x < 4.05

Therefore the solution to the inequality is (-∞, 4.05)

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The expression that represents the price of the video game after the discount is

p - 0.4p
Where p is the original price of the video game.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Price of the video game = p

Discount = 40%

The price of the video game after the discount.

= p - (40% of p)

= p - (40/100)p

= p - 0.4p

Thus,

The expression is p - 0.4p.

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Answer:

when I see this I know and can show you how to solve the question and the answer it 2 and it's obvious so if you don't know it that's pretty much sad and pathetic answer 2

A) This is an independent event.

B) The probability that you would draw 2 reds is 0.017

The likelihood of an event occurring is known as probability. You can determine how likely something is by asking someone what the probability of something happening is.

When people purchase lottery tickets, the likelihood of winning is typically stated, and it occasionally may be as low as 1/10,000,000. (or even worse). This informs you that there is a low likelihood that you will succeed.

There are 4 reds out 0f 30 colours

The probability of drawing red the first time is 4/30 = 2/15

The probability of drawing red on the 2nd time is 4/30 = 2/15

The probability of drawing red on the both draw is = 2/15 × 2/15

                                                                                     = 4/225

                                                                                     = 0.0170

Thus, The probability of drawing red on the both draw is 0.0170.

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Answer:

Step-by-step explanation:

-1 +2=1

2+2=4

5+1=6

Analyzing the options given in the question, the options that satisfy for the number 105 are: Integer, Rational, Whole number.

All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions.

A rational number is a number which is in the form of p/q where p and q are both integers and q is not equal to zero.

The number 105 is , Whole number since it falls between all the numbers between 0 to positive infinity. Similarly, the number is an Integer since it does not contain any fractions or decimals. And, the number 105 is rational number since it can be expressed in the form of 105/1.

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Answer: x = 9

Step-by-step explanation: To find the value of x, we must understand a few things:

- whatever is in lines like | 2x + 4 | means it's the absolute value or positive value of the number.

Now, with that out of the way, I have one more thing to explain.

- whenever trying to find the value of a variable, you need to do inverse operations, so the opposite of adding is subtracting, and the opposite of multiplication is division. Now, let's solve:

22 - 4 = ?

? = 18

18 / 2 = ?

?(x) = 9

Therefore, x = 9

We can check our answer by doing:

| 2(9) + 4 | = 22

2 x 9 = 18

18 + 4 = 22

22 = 22

So, both answers add up, so x = 9

I hope this helps!

Answer:

Each roll of wallpaper has an area of 90 square feet.

Step-by-step explanation:

In order to find the number of square feet of wallpaper in each roll, we first need to calculate the total area of the wallpaper in the roll. The area is the product of the length and width of the roll.

The width of each roll is 1 yard, and the length of each roll is 10 yards.

Area of the wallpaper = width x length = 1 yard x 10 yards = 10 square yards

Now we need to convert the area from square yards to square feet, as the area of wallpaper is usually measured in square feet.

1 yard = 3 feet

So we need to multiply the area in square yards by the conversion factor, which is 9.

10 square yards = 10 square yard * 9 = 90 square feet

Therefore, each roll of wallpaper has an area of 90 square feet.

It's important to note that while calculating, the units should be consistent i.e area of a length (yard) multiplied with a width(yard) will give the area in square yards, which we converted to square feet by considering the conversion factor of 1 yard = 3 feet.

The numeric value of the expression ((2.1)² + 5.2 - 7.2) x 7.1 is given as follows:

17.1.

The expression for this problem is defined as follows:

((2.1)² + 5.2 - 7.2) x 7.1

The precedence of operators follows the PEMDAS acronym, as follows:

Hence the parenthesis takes precedence, thus:

(2.1)² + 5.2 - 7.2.

Then the power takes precedence, thus:

(2.1)² + 5.2 - 7.2 = 4.41 + 5.2 - 7.2

Addition and subtraction can be done in any order, hence:

4.41 + 5.2 - 7.2 = 2.41.

Then the multiplication is given as follows:

2.41 x 7.1 = 17.1.

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Answer:

To rewrite the radical expression "the seventh root of x to the thrid power" as an expression with a rational exponent, we need to use the property that allows us to rewrite a root of a power as a power with a rational exponent. This property states that "the nth root of x to the mth power" is equal to "x to the m/nth power".

Using this property, we can rewrite "the seventh root of x to the thrid power" as "x to the 3/7th power". Therefore, the correct answer is "x to the 3/7th power".

The other answer choices are not equivalent to the original expression. "x to the seven thirds power" is not a valid expression because "thirds" is not a unit of measurement. "x^21" is not equivalent to the original expression because the base and exponent are not related in the same way as in the original expression. "x^4" is not equivalent to the original expression because the base is the same but the exponent is not.

Answer: x to the 3/7th power

Step-by-step explanation:

so you dont have to read a essay to get the answer lol

Answer: The formula for the interest charged on a credit card debt is:

Interest = (Principal * Annual Interest Rate) / 12

We know that the interest charged last month is $55, and the principal (the credit card debt) is $6000, so we can substitute these values into the formula and solve for the annual interest rate:

55 = (6000 * r) / 12

To find the annual interest rate, we will solve for r.

r = (55 * 12) / 6000

r = 0.09 which is a 9% annual interest rate.

So, the annual interest rate on the credit card is 9%.

Step-by-step explanation:

The height of the rock ledge is 20 meters and height of the tree is 59 meters.

Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.

From a rock ledge, the angle of elevation to the top of a tree is 22°. The angle of depression to the base of the tree is 12°.

a) Let the height of the rock ledge be x.

Now, tan12°=x/96

0.2125=x/96

x=20.4 meters

x≈20 meters

b) Let the height of the tree be y

Here, part of the tree is y-20

Now, tan22°=(y-20)/96

0.404=(y-20)/96

y-20=38.784

y=58.784

y≈59 meters

Therefore, the height of the rock ledge is 20 meters and height of the tree is 59 meters.

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Answer:

D

Step-by-step explanation:

explanation on the other response on ur other question

Therefore the predicted full rear repair cost would be $1211.576 if y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost.

When modeling the connection between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, while multiple linear regression is used when there are numerous variables.

Physical values known as scalars are unaffected by modifications to the vector space basis. Scalars frequently include units of measurement, such as "10 cm." Scalar quantities include things like mass, space, charge, volume, time, speed, and the overall size of physical vectors.

To predict the full rear repair cost from a full front repair cost of $4594, you would substitute 4594 for x in the equation y = 2060 - 0.186x and solve for y.

y = 2060 - 0.186(4594)

y = 2060 - 848.424

y = 1211.576

So the predicted full rear repair cost would be $1211.576

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Answer:

$1,206

Step-by-step explanation:

Answer: the answer is 1.cuneiform & 2.sumerians

Step-by-step explanation: searched it up

Answer:

pro tip: crop your screen before you post it....

I think it's B

I did this 2 years ago in middle school

Answer:

90 minutes

Step-by-step explanation:

9 people = 40 minutes

4 people = 40/4=10

10 * 9= 90

therefore 4 people will finish the work in 90 minutes

Answer:

To show 1214 using place value blocks, you would need at least 4 blocks: one thousand block, two hundred blocks, one ten block, and four ones blocks. If you have fewer than 4 blocks, it is not possible to show 1214 using place value blocks.

If you have exactly 4 blocks, you can show 1214 in only 1 way: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks.

If you have exactly 5 blocks, you can show 1214 in 2 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, or using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks.

If you have exactly 6 blocks, you can show 1214 in 3 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks, or using 1 thousand block, 1 hundred block, 3 ten blocks, and 4 ones blocks.

Therefore, if you have fewer than 10 place value blocks, you can show 1214 in 3 different ways.

The statements in if-then form are given as follows:

If-Then statements are a sort of variable logic that allows the variable's output to be determined conditionally. All If-Then statements must specify the circumstances and actions that should occur when those criteria are fulfilled.

If-then arguments, also known as conditional arguments or hypothetical syllogisms, are deductive logic's workhorses. They are a loosely defined class of logical arguments with an if-then statement (a conditional) as a premise. The conventional form of the conditional is If P, Q follows.

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The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.

There have been two main categories of arguments in the studies of logic: conditional statements and polyamorous statements. These assertions, which are referred to as compound statements, are created by combining two other statements.

The converse statement should also be true when its condition is reversed.

Let's check all the options. Then we have

A.  If a figure is a square, then it has four sides. The converse of the statement is false.

B.  If a point has an x-coordinate 0, then it lies on the y-axis. The converse of the statement is true.

C.  If two angles are congruent, then they have the same measure. The converse of the statement is true.

D.  If two planes are parallel, then they have no points in common. The converse of the statement is true.

The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.

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Using simple unitary method process in the given problem with the provided values, The answer is £42 .

The unitary method is a method of solving mathematical problems in which the relationship between a quantity and its unit of measurement is used to find an unknown quantity. It involves expressing the given quantity in terms of a unit, then solving for the unknown quantity in terms of the same unit.

Arithmetic operators are used to perform basic mathematical operations, such as addition (+), subtraction (-), multiplication (*), division (/), and modulus (%). They take numerical values (either literals or variables) as their operands and return a single numerical value. These are widely used in mathematical computations, like in programming languages, spreadsheets and calculator apps.

4 glasses cost £24.

1 glass cost £24/4 = £6

7 glasses cost = £6 * 7 = £42

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Answer:

9 = 1st number

21 = 2nd number

Step-by-step explanation:

given that :

1st number = x __eq_i

2nd number (in terms of the first number) = 2x + 3 __eq_ii

1st number + 2nd number = 30 __eq_iii

input eq_i and eq_ii in eq_iii

x + 2x + 3 = 30

3x + 3 = 30

3x = 30 - 3

x = 27 ÷ 3

x = 9

9 = 1st number

input the value of x in eq_ii

2x + 3

2(9) + 3

18 + 3

21 = 2nd number

hope that helps.

On solving the provided question we can say that - the value of the ellipse will be (5+ , root5)

In mathematics, an ellipse is a planar curve that encompasses two focus points and ensures that the sum of the two distances from any point on the curve to the focal points is constant. In doing so, the circle—a particular variety of ellipse with two equal focus points—is generalized. The ellipse, whose eccentricity is less than 1, indicates the area containing the points whose distances from its two foci add up to a certain amount. Running tracks in sporting arenas and 2D egg forms are two straightforward examples of ellipses in daily life.

here we have,

center at (5,-2), one vertex at (2, -2) and a focus at

(5+ √5,-2)

so the answer is (5+ , root5)

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Using Continuous compounding in 15.07 months, the bike's value will be less than £1200.

Continuous compounding refers to the process of compounding interest at an infinitely frequent rate. It is a way to figure out how much an asset will depreciate over time or how much an investment will increase.

[tex]A=Pe^{rt}[/tex]

where:

A is the asset's final value

P is its initial value

r is the interest rate (or rate of depreciation in the case of a depreciating asset)

t is the time periods (months, years, etc.)

A= 1200

P= 2550

r= -0.05

We want to find t, so we can rearrange the formula to solve for t:

[tex]t=\frac{log\frac{A}{P}}{r}\\\\t=\frac{log\frac{1200}{2550} }{-0.05} \\ \\t=15.07months[/tex]

In 15.07 month motorbike value will depreciate to less than £1200

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