If x to the power of 2 equals 10 what is the value of x

Answer:

It would be Choice B, since it divides to -1.5.

This is the same as when -3/2 is simplified.

Choice A would be wrong, since it would give you 1.5, due to a double negative = a postive, same with Choices C and D.

Answer:

3/-2 is the only correct solution!

Step-by-step explanation:

Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.

Start with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.

Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.

Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.

Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.

Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.

Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.

Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.

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Answer:

-5

Step-by-step explanation:

h(x)=3

3=-x-2

3+2=5

3=-(-5)-2

negatives cancel

3=5-2

Answer:

D.

Step-by-step explanation:

it can't be B or C since Function A has a greater y-intercept of 2. and if you graph function A you can see that Function B has a greater rate of change

Answer:

D

Step-by-step explanation:

The rate of change for the graph is 2 so we can rule anything out that shows A has a larger rate of change. Now we look at the y intercept on the graph which is -2. The one in the function is 2 so we eliminate anything that says B has a greater y intercept this should give you the answer

Hope this Helps :)

9514 1404 393

Answer:

  6.  $44,506.92

  7.  $20,197.88

  8.  $8,132.84

  9.  $20,137.53

Step-by-step explanation:

The formula for future value is ...

  FV = P(1 +r/n)^(nt)

for principal P at annual interest rate r compounded  n times per year for t years.

This formula is built in to most spreadsheet programs, which can be usefully used to calculate its value for different values of the variables. The spreadsheet function needs the interest rate per period (r/n) and the number of periods (nt).

Continuous compounding can be reasonably approximated by compounding 100 million times per year. Or the continuous compounding formula can be used:

  FV = Pe^(rt)

The attached spreadsheet shows the values for these problems, and it shows the formula used to obtain them.

_____

Additional comment

Spreadsheet functions often work in terms of cash flow. A payment has one sign, and a value received has the opposite sign. Here, we have shown -FV( ) in the spreadsheet, because the given arguments would otherwise show the FV as negative. (More properly, the last function input would be the opposite of the principal value, as it is a payment being made.)

Let x be a discrete random variable. If Pr(x < 6) = 3/9, and Pr(x ≤ 6) = 7/18, then P(X = 6) is 0.06.

A discrete random variable is a variable that can take on only a countable number of values. Examples of discrete random variables include the number of heads when flipping a coin, the number of cars passing through an intersection in a given hour, or the number of students in a classroom.

Let x be a discrete random variable.

Pr(x < 6) = 3/9, and Pr(x ≤ 6) = 7/18

P(X ≤ 6) = P(X < 6) + P(X = 6)

Subtract P(X < 6) on both side, we get

P(X = 6) = P(X ≤ 6) - P(X < 6)

Substitute the values

P(X = 6) = 7/18 - 3/9

First equal the denominator

P(X = 6) = 7/18 - 6/18

P(X = 6) = 1/18

P(X = 6) = 0.06

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the answer is 5 car / hr.........................................

The feature NOT associated with the function h(x) is that the domain of h(x) is [0.).

The function h(x) is defined as (x - 5)² - log₁ x + 6.

Let's analyze each given option to determine which one is NOT a key feature of h(x).

Option 1 states that the domain of h(x) is [0, ∞).

However, the function h(x) contains a logarithm term, which is only defined for positive values of x.

Therefore, the domain of h(x) is actually (0, ∞).

This option is not a key feature of h(x).

Option 2 states that the x-intercept of h(x) is (5, 0).

To find the x-intercept, we set h(x) = 0 and solve for x. In this case, we have (x - 5)² - log₁ x + 6 = 0.

However, since the logarithm term is always positive, it can never equal zero.

Therefore, the function h(x) does not have an x-intercept at (5, 0).

This option is a key feature of h(x).

Option 3 states that the y-intercept of h(x) is (0, 25).

To find the y-intercept, we set x = 0 and evaluate h(x). Plugging in x = 0, we get (0 - 5)² - log₁ 0 + 6.

However, the logarithm of 0 is undefined, so the y-intercept of h(x) is not (0, 25).

This option is not a key feature of h(x).

Option 4 states that the end behavior of h(x) is as x approaches infinity, h(x) approaches infinity.

This is true because as x becomes larger, the square term (x - 5)² dominates, causing h(x) to approach positive infinity.

This option is a key feature of h(x).

In conclusion, the key feature of h(x) that is NOT mentioned in the given options is that the domain of h(x) is (0, ∞).

Therefore, the correct answer is:

O The domain of h(x) is (0, ∞).

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By using trigonometry identities the value of cos(α+β) = - 323/325,sin(α+β) = - 204/325

Given that sin α = 24/25, α lies in quadrant I and sin β = 12/13, β lies in quadrant II.To find cos(α+β), sin(α+β) and tan(α+β) we will use the following formulas.1. sin(α+β) = sin α cos β + cos α sin β2. cos(α+β) = cos α cos β - sin α sin β3. tan(α+β) = (tan α + tan β) / (1 - tan α tan β)To find cos(α+β), we will first find cos α and cos β. Since sin α = 24/25 and α lies in quadrant I, we have

cos α

= sqrt(1 - sin²α)

= sqrt(1 - (24/25)²)

= 7/25

Similarly, since sin β = 12/13 and β lies in quadrant II, we have

cos β = - sqrt(1 - sin²β)

= - sqrt(1 - (12/13)²) = - 5/13

Now, using formula 2 we can write

cos(α+β) = cos α cos β - sin α sin β

= (7/25) * (-5/13) - (24/25) * (12/13)

= (-35 - 288) / (25 * 13)

= - 323/325

Therefore, cos(α+β) = - 323/325.

To find sin(α+β), we will use formula 1. So we can write,

sin(α+β) = sin α cos β + cos α sin β

= (24/25) * (-5/13) + (7/25) * (12/13)

= (-120 - 84) / (25 * 13)

= - 204/325

Therefore,

sin(α+β) = - 204/325.

To find tan(α+β), we will use formula 3. So we can write,tan(α+β) = (tan α + tan β) / (1 - tan α tan β)= (24/7 + (-12/5)) / (1 - (24/7) * (-12/5)))= (120/35 - 84/35) / (1 + 288/35)= 36/323

Therefore, tan(α+β) = 36/323.Thus, we have obtained the exact values of cos(α+β), sin(α+β) and tan(α+β).

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Answer: \({ x = 3.33}{}\\\\\end{array}\right] }\)

Explanation: Hello , Solve for x by simplifying both sides of the equation, then isolating the variable.

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Answer: y=2/5x+b

Step-by-step explanation:

Answer:\(2x^{3} mr^{2}\)

Step-by-step explanation:

2 * xxx * m * rr

2 \(x^{3}\) m \(r^{2}\)

This is because \(x^{3}\) is the same as multiplying x by its self, three times. The same goes for variables m and r.

Answer:

Answer no. 4

Step-by-step explanation:

1.67 x 10^3 = 1670

16.7 x 10^3 = 16700

those number are clearly the biggest in their categories, so answers 1 and 2 are not worth further consideration. Also note that all the numbers are the same in every answer except 1.67 x 10^3 or 16.7 x 10^3, so the 16.7 might be an error. Fortunately it does not change the answer.

Let's choose between answers 3 and 4. We start with easy numbers:

4^2 = 16

50/3 = 16.6666...

So 50/3 must come after 4^2.

We're left with answer 4.

We can also convert everything to decimal:

\(15.75\\\sqrt{250} = 15.8113883...\\4^2 = 16\\50/3 = 16.666666....\\16.7 \cdot 10^3 = 16700\\1.67 \cdot 10^3 = 1670\)

from which we can order conventionally

Answer:

5

Step-by-step explanation:

because if you add -2x and 5 you would get 3 also if you subtract 6x-4 you would get 2x so add 2x and 3x then you would get five

Answer: 11/2

Step-by-step explanation:

to rewrite as mixed number you multiply the whole number by the denominator and add that to the numerator and get 55/10, then simplify it to 11/2 easy. also for decimal its jus 5.5

The other form to write 2 5/10 is 52/10.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

We have mixed fraction as 2 5/10.

Now, to write the mixed fraction into normal we must follow:

Numerator = Divisor x Quotient+ Remainder

Here, Divisor= 10, Quotient = 2 and Remainder= 5

So, the Normal Fraction is

= ( 10 x 5 +2)/ 10

= 52/10

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Answer:

x=90

Step-by-step explanation:

3x-160 = x+20. Why you may ask? they are corresponding angles which makes them congruent. 2x = 180, so x = 90

Answer:

90

Step-by-step explanation:

angle 1 and 4 are equivalent so:

3x - 160 = x + 20

_________________

3x - 160 = x + 20

   +160   I  +160

  3x = x + 180

  - x  I   - x

   2x = 108

   ÷2  I ÷2

      x = 90

You have to subtract each value from rigth to left.

The result for 7.841 minus 3.733 is 4.107

The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².

A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating

straight line of that surface.

The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.

The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.

The axis of symmetry is the line through the focus and perpendicular to the directrix.

The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens

up" or "opens down.

The directrix is a fixed straight line used in the definition of a

parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the

distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's

the solution to the given problem:

The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)

The vertex is (h,k) = ((18+2)/2,5) = (10,5)

Then we can use the following formula: (x - h)² = 4p(y - k)

Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)

Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)

The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).

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To make Company A a better deal, the truck must be driven more than 200 miles per day.

To determine which company offers a better deal, we need to compare the total cost for renting the truck from each company. Company A charges $120 per day plus $0.20 per mile, while Company B charges $40 per day plus $0.60 per mile.

Let's assume the number of miles driven per day is represented by 'x'. For Company A, the total cost would be $120 (fixed daily rate) plus $0.20 (cost per mile) multiplied by 'x' (number of miles). So the total cost for Company A would be $120 + $0.20x.

For Company B, the total cost would be $40 (fixed daily rate) plus $0.60 (cost per mile) multiplied by 'x' (number of miles). Hence, the total cost for Company B would be $40 + $0.60x.

To find the point at which Company A becomes a better deal, we need to set up an inequality. We want the total cost for Company A to be less than the total cost for Company B, so we can write the inequality as:

$120 + $0.20x < $40 + $0.60x

Now we can solve this inequality to find the threshold for 'x', which represents the number of miles driven per day that makes Company A the better deal.

120 - 40 < 0.60x - 0.20x

80 < 0.40x

200 < x

Therefore, the truck must be driven more than 200 miles per day for Company A to offer a better deal compared to Company B.

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Answer:

56

Step-by-step explanation:

23lt=3

Solve for t

1

t=77

The Θ-class of the following recurrence relations is:

a) T(n) = Θ(n³ log(n))

b) T(n) = Θ(n log(n))

c) T(n) = Θ(n log(n)).

Hence, the solution is given by,

a) T(n) = Θ(n³ log(n))

b) T(n) = Θ(n log(n))

c) T(n) = Θ(n log(n))

The master theorem is a very simple technique used to estimate the asymptotic complexity of recursive functions.

There are three cases in the master theorem, namely

a) T(n) = aT(n/b) + f(n)

where f(n) = Θ\((n^c log^k(n))\)

b) T(n) = aT(n/b) + f(n)

where f(n) = Θ(nc)

c) T(n) = aT(n/b) + f(n)

where f(n) = Θ\((n^c log(b)n)\)

Find Θ-class of the following recurrence relations using the master theorem.

a) T(n) = 2T(n/2) + n³

Comparing the recurrence relation with the master theorem's 1st case, we have a = 2, b = 2, and f(n) = n³.

Here, c = 3, k = 0, and log(b) a = log(2) 2 = 1.

Therefore, the value of log(b) a is equal to c.

Hence, the time complexity of

T(n) is Θ\((n^c log(n))\) = Θ\((n^3 log(n))\).

b) T(n) = 2T(n/2) + 3n - 2

Comparing the recurrence relation with the master theorem's 2nd case, we have a = 2, b = 2, and f(n) = 3n - 2.

Here, c = 1.

Therefore, the time complexity of T(n) is Θ(nc log(n)) = Θ(n log(n)).

c) T(n) = 4T(n/2) + n log(n)

Comparing the recurrence relation with the master theorem's 3rd case, we have a = 4, b = 2, and f(n) = n log(n).

Here, c = 1 and log(b) a = log(2) 4 = 2.

Therefore, the time complexity of T(n) is Θ\((n^c log(b)n)\) = Θ(n log(n)).

Therefore, the Θ-class of the following recurrence relations is:

a) T(n) = Θ(n³ log(n))

b) T(n) = Θ(n log(n))

c) T(n) = Θ(n log(n)).

Hence, the solution is given by,

a) T(n) = Θ(n³ log(n))

b) T(n) = Θ(n log(n))

c) T(n) = Θ(n log(n))

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Answer:

there is one ree

Step-by-step explanation:

yeet= yeet x ree

ree= 1 yeet

1 yeet= y'ee't = r'ee'

1 'ee' = 1 ree in each yeet

but if you count them all then its 6 ree's

✨meth✨

The measurement of the angle 1 is 37°.

Angles can be determined by the amount of turn between the two rays, with the most common angles being acute (less than 90 degrees), right (equal to 90 degrees), obtuse (greater than 90 degrees), and straight (equal to 180 degrees).

It is also possible to determine the angle 1 by using the angle sum theorem. This theorem states that the sum of the interior angles of a triangle is 180°. Here, the angle 1 is one of the interior angles of the triangle formed by the two intersecting lines. Therefore, the angle 1 must be equal to 180° minus the sum of the other two angles, which are 243° and the remaining angle.

Hence, the angle 1= 180° - 243°=37°.

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The measurement of the angle 1 formed by two intersecting lines touching a circle at two different points resulting in the formation of an arc of 243 degree is 117°.

Angles can be determined by the amount of turn between the two rays, with the most common angles being acute (less than 90 degrees), right (equal to 90 degrees), obtuse (greater than 90 degrees), and straight (equal to 180 degrees).

The measure of angle 1 can be calculated using the formula,

angle 1 = 360 – arc measure.

Since the arc measure is 243 degrees, angle 1 can be calculated by subtracting 243 from 360.

angle 1 = 360 – 243

angle 1 = 117 degree

Therefore, the measure of angle 1 is 117 degree.

To sum up, the measure of angle 1 formed by two intersecting lines touching a circle at two different points resulting in the formation of an arc of 243 degree is 117 degree.

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By the Converse of the Base Angles Theorem, the third line (the side opposite the third angle) is also congruent to the other two lines.

In a triangle, if two lines are congruent, the theorem that guarantees the congruence of the third line is the Converse of the Base Angles Theorem (also known as the Isosceles Triangle Theorem).

The Converse of the Base Angles Theorem states that if two angles of a triangle are congruent, then the sides opposite those angles are congruent.

In other words, if two sides of a triangle are congruent, the angles opposite those sides will also be congruent.

So,if two lines in a triangle are congruent, it implies that the angles opposite those lines are congruent.

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No, it is not possible to find a power series with an interval of convergence [0, ∞).

The interval of convergence of a power series represents the range of values for which the series converges. The convergence of a power series is determined by its radius of convergence, which is a non-negative real number.

The radius of convergence (denoted by R) defines a symmetric interval centered at the center of the power series. If the radius of convergence is infinite (R = ∞), then the interval of convergence extends infinitely in both directions from the center.

However, since [0, ∞) includes positive infinity, it implies an unbounded interval. Power series can only converge within a finite range, so it is not possible for a power series to have an interval of convergence that includes positive infinity.

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if p is the probability that some bin ends up with 3 balls and q is the probability that every bin ends up with 4 balls. pq is 16.

First, let us label the bins with 1,2,3,4,5.

Applying multinomial distribution with parameters  n=20  and  p1=p2=p3=p4=p5=15  we find that probability that bin1 ends up with 3, bin2 with 5 and bin3, bin4 and bin5 with 4 balls equals:

5−2020!3!5!4!4!4!

But of course, there are more possibilities for the same division  (3,5,4,4,4)  and to get the probability that one of the bins contains 3, another 5, et cetera we must multiply with the number of quintuples that has one 3, one 5, and three 4's. This leads to the following:

p=20×5−2020!3!5!4!4!4!

In a similar way we find:

q=1×5−2020!4!4!4!4!4!

So:

pq=20×4!4!4!4!4!3!5!4!4!4!=20×45=16

thus, pq = 16.

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Answer:

slope is (5 over 1) (5/1)

rise : 5

run: 1

Step-by-step explanation:

Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!