Evaluate 1/2x^4 – 3/4x² for x = 2.

Answer:

1. Factors of 40: 1, 2, 4, 5, 8, 10, 20 and 40

1. 40 sayısının çarpanlarından: 1, 2, 4, 5, 8, 10, 20 and 40

Step-by-step explanation:

kaç tanesi tek sayıdır: 2

How many are odd numbers: 2

yanılıyor olabilirim eğer bir hata yaparsam lütfen söyleyin

I might be wrong so if I make any mistakes please tell me

Answer:

I think you mean 6^16

if so, the right answers are

the 3rd one (6^-4)^-4

the 4th one (6^-2)^-8

last answer (6^8)^2

Step-by-step explanation:

you have to apply the Powers of a Powers Property:

(a^n)^m=a^(nm), basically you're multiplying the exponents (the powers)

Hope this helps.

yes, because the midpoints (a+c) = b

Given that the line's equation is y=x.

B and C are the two points on this line.

( a+ c, b) is the midpoint of B and C.

We can see from this that using the midpoint formula

a + c = [tex]\frac{x1+x2}{2}[/tex]

b=[tex]\frac{y1+y2}{2}[/tex]

Because both points are on y=x, we get

x1=y1, x2=y2.

As a result, x1 = a+c and 2y1 = 2b or y1 =b.

Because x1=y1, we have a+c =b.

In other words, the coordinates of the midpoint satisfy the equation y=x.

Thus, the answer is

because (a+c) = b

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Answer:

x=15

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

See image below

Answer:

1.5 cm

Step-by-step explanation:

Triangles WTY and UTV are similar. Segment WT corresponds to UT and segment YT corresponds to VT. Thus we can create an equation knowing that the ratio of WT to UT must equal to the ratio of YT to VT.

WT = 7.5 cm

UT = ?

YT = 15 cm

VT = 12 cm

WT / UT = YT / VT

7.5 / UT = 15 / 12

UT = 6

WT = WU + UT

7.5 = WU + 6

WU = 1.5

The $3.00 for 2 liters of Sprite and $16 for 1 gallon of raspberry sorbet indicates that the minimum amount Rafael should sell a cup of punch.

A profit is a financial gain from the revenue that exceeds the sum of expenses and the taxes.

The ingredients required to make 12 cups of punch are;

1 gallon of raspberry and 2 liters of Sprite

Amount he pays for 2-liter of Sprite = $3.00

Amount paid for a quart of sorbet = $4.00

The minimum amount to be charged so as to make a $10 profit is found as follows;

4 quarts is equivalent to one gallon

Therefore;

1 quart of sorbet costs $4

4 quart of sorbet = 1 gallon of sorbet costs 4 × $4 = $16

The cost of 2-liters of Sprite = $3.00

The cost of 12 cups of punch is therefore;

$3 + $16 = $19

The revenue when a profit of $10 is made is therefore;

Revenue = $19 + $10 = $29

The selling price per cup, p, is therefore;

p = $29 ÷ 12  $2.42

The price per cup to make a profit of $10 is approximately $2.42≈

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The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

If we simplify the fraction we will see that the slope is equal in the two segments of the line.

A linear equation is written as:

y = m*x + b

Where m is the slope and b is the y-intercept, both of these are constants.

In this case the student found the slope on one part to be 4, and on other part to be 8/2.

But if you solve that second quotient:

8/2 = 4

The slope is still 4, so in both segments the slope is the same, which means that the slope is equal at different parts of the line.

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The graph of the linear equation can be seen in the image at the end.

Here we have the following linear equation:

y = -20*x + 460

To graph the line, we need to find two points on the line, then graph these, and graph a line that connects them.

To get the points, we need to evaluate the linear equation in two values of x.

if x = 0

y = -20*0 + 460

y = 460

if x = 10

y = -20*10 + 460

y = -200 + 460

y = 260

So we have the points (0, 460) and (10, 260), then the graph of the line is:

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The given table is completed.

Given,

Finance Desiree starts a savings account with $125.00. Every month, she

deposits $53.50.

we are asked to complete the table to model the situation.

Month is represented by x.

Amount in savings, be y.

hence we frame:

x = 0, y = $125

x = 1, y = $(125+53.5) = $178.50

x = 2, y = $(178.50+53.5) = $232

x = 3, y = $(232+53.5) = $285.50

x = 4, y = $(285.50+53.5) = $339

hence we complete the table for 5 months,

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The coefficients of the algebraic expression are 6, 1.

The constant of the algebraic expression is 9.

The error Jake might have made is that: D. Jake did not include the coefficient 1.

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables, numerical quantities (constants), accompanied with the use of different mathematical operations.

In Mathematics, a coefficient can be defined as a constant quantity or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.

Based on the information provided about this algebraic expression, we can reasonably infer and logically deduce that there are only two (2) coefficients and one constant, and these include the following:

This ultimately implies that, an error which was made by is the exclusion of the coefficient 1 for y.

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Complete Question:

On a math test a student, Jake, has to identify all the coefficients and constants of the expression 9 + 6b + y. Jake says that 6 is a coefficient and 9 is a constant. Identify all the coefficients and constants of the expression. What error might Jake have made?

The coefficient(s) of the expression is/are __

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are __

(Use a comma to separate answers as needed.)

What error might Jake have made?

A. Jake said 9 is a coefficient. It is actually a constant.

OB. Jake said 6 is a constant. It is actually a coefficient.

OC. Jake did not include the constant 1.

OD. Jake did not include the coefficient 1.

The correct option is A which is x=-1/2 is the position of stable equilibrium.

Given in the question,

F=2x²−3x−2

dx/dF = 4x−3<0

x<3/4 for stable equilibrium

x>3/4 for unstable equilibrium

For stable F=0

2x²−3x−2=0

2x²−4x+x−2=0

2x(x−2)+1(x−2)=0

(2x+1)(x−2)=0

x=−1/2 ,x=+2

In the event that a system in equilibrium is disturbed marginally, in the event that it is steady it will in general re-visitation or waver about its unique equilibrium state. An unsteady system will in general keep on getting away from its unique equilibrium state when moved away by it. Consequently, on account of a stable equilibrium, there is a tendency for the item to return to its old position. In an unstable equilibrium again, the balance is temperamental when a slight unsettling influence inspires further unsettling influence, with the goal that the first position is rarely reestablished.

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The fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that, the ratio of battleships to destroyers in the navy is 10:15.

battleships : destroyers = 10:15

The fraction of the total number of boats is the number of destroyers is,

=15/10+15

=15/25

The ratio of battleships to destroyers in the navy is 10:15. The number of battleships is 0.56 times the number of destroyers.

Thus, the fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.

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The least number of people who want to take both geometry and algebra is 145

The inclusion-exclusion principle is a counting method that generalizes the well-known approach to determining the number of members in the union of two

The inclusion - exclusion principle is used here

let the number that will take both algebra and geometry be x

200 = 170 - x + 175 - x + x

200 = 345 - x

x = 354 - 200

x = 145

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The least number of people who want to take both geometry and algebra is 145 graders

The intersection of sets can be denoted using the symbol '∩'. the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B.

The number of graders that want to take geometry is 170

The number of graders that want to take algebra is 175

A ∩ G= n(A) + n(G) -( AUB)

=175+170-200

= 345-200

= 145

Therefore the least number of people that will want to do both geometry and algebra is 145

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Answer:

560

The formula for interest is I=prt

so 4000×7/100×2=560

Answer:

a = [tex]\frac{1}{7}[/tex]

b = .2

c= [tex]\frac{3}{9}[/tex]

Step-by-step explanation:

You could change all of the numbers to decimals and then order

[tex]\frac{1}{7}[/tex] ≈ .1428

.2 =.2

[tex]\frac{3}{9}[/tex] ≈ .3

By using right tailed test the following results are obtained

a) The test is a right tailed test

b) P value = 0.0681

c) We fail to reject the null hypothesis

What is right tailed test?

Suppose there is a null hypothesis. If the alternate hypothesis claims that the true value of the parameter is greater than the null hypothesis, then the test used is called right tailed test.

a) Since p > 0.8, right tailed test is used

b) The corrosponding z is z = 1.49

P value = p(z > 1.49)

            = 1 - p(z [tex]\leq[/tex] 1.49)

            = 1 - 0.9319

            = 0.0681

c) 0.0681 is greater than a = 0.05

So we fail to reject the null hypothesis [tex]H_0[/tex]

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Answer:

Step-by-step explanation: i'm not one hundred percent sure but i think its B

Another point that lies on the same line is (-4,-5).

Given:

The points (5, 4), (3, 2), and (-1, -2) all lie on the same line.

if lines are on the same line there slopes are equal:

(5,4) and (3,2)

slope m = 2-4 / 3-5

= -2/-2

= 2/2

m = 1

The point that lies on the same line must have slope m = 1 with any given point.

suppose (5,4) and (-4,-5)

slope m = -5-4 / -4-5

= -9/-9

= 9/9

= 1.

Hence (-4,-5) is another point on the same line.

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Answer: Angle 3 is a vertical angle of angle 1 and will always be identical to what angle 1 is.

Angle 2 and angle 4 are supplementary angles to angle 1 and will always be the difference between 180 and what angle 1 is.

For example, if angle 1 were 45 degrees, angle 3 would also be 45 degrees, and angles 2 and 4 would be 180-45 = 135 degrees.

Step-by-step explanation:

The solution of the equation 2x + 1.5y = 18 for the variable y is given as follows:

y = (18 - 2x)/1.5.

The equation for this problem is presented as follows:

2x + 1.5y = 18.

To solve for the variable y, we have to isolate the variable y.

The first step is passing every term on the left side of the equality that does not contain the variable y to the right side, hence:

1.5y = 18 - 2x. (positive on the left side is negative on the right side).

Then the constant 1.5, which is multiplying on the left side, moves to the right side dividing the expression, hence:

y = (18 - 2x)/1.5.

The problem asks for the solution of the equation 2x + 1.5y = 18 for the variable y.

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Based on the pattern in the table (see attachment), 11 truck loads of fruit would cost $27,830.

Mathematically, a direct proportion or direct variation can be represented the following mathematical expression:

y = kx

Where:

By applying direct proportion, we have the following mathematical expressions:

1 truck load of fruit = 2,530 dollars.

11 truck load of fruit = X dollars.

Cross-multiplying, we have the following:

Cost, X dollars = 11 truck load of fruit × 2,530 dollars.

Cost, X dollars = 27,830 dollars.

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Answer:

B) Infinite solutions

Step-by-step explanation:

[tex] \frac{4}{5} (x + 9) - \frac{1}{5} x = \frac{3}{5} (x + 12)[/tex]

[tex] \frac{4}{5} x + \frac{36}{5} - \frac{1}{5} x = \frac{3}{5} x + \frac{36}{5} [/tex]

[tex] \frac{3}{5} x = \frac{3}{5} x[/tex]

We have infinite solutions.

The measure of y = 8

Define Pythagorean theorem

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Let, sides will be A, B, C and D

So, we have given that

AD = 16

DB = 4

DC = y

We know,

DC² = AD * DB

Now, plug in the values

y² = 4 * 16

y² = 64

y = 8

Hence the measure of y = 8

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Answer: oh ok

Step-by-step explanation:

well  you know just ask your mom

Answer:

y=1/2x+2

Step-by-step explanation:

slope form is y=mx+b

m-slope

b- y intercept (when x is 0)

To find slope we use y2-y1/x2-x1

4-3/4-2

1/2 is the slope

Now we know every time X goes up 1 y goes up 1/2 so we subtract back to find y intercept

(1,2.5)

(0,2)

Y intercept is 2

Hopes this helps please mark brainliest

Answer:

Slope = -1/6

Step-by-step explanation:

Answer:

the correct one is Slope = -1/6

Answer:

Step-by-step explanation:

answer: 683542

974798-683542= 291256

974798-291256=683542

Answer: 4mph

Step-by-step explanation: convert 45 minutes into hours: 45min*1hr/60min = 0.75hr 3miles/.75 hr = 4mlies/1hr = 4mph