ㅤ
\( \sqrt{ - 25} \)
simplify the expression

can someone explain this pls
​

Answer:

To determine the missing coefficient "a" in the polynomial P(x) = x^4 - 3x^3 + ax^2 - 6x + 14, we can use the SOLVE process as follows:

S: Write down the given information and identify the problem.

We are given the polynomial P(x) = x^4 - 3x^3 + ax^2 - 6x + 14, and we need to find the value of the missing coefficient "a".

O: Organize the information and decide on a plan.

To find the value of "a", we can substitute specific values for x into the polynomial and solve for a.

L: Carry out the plan.

For example, let's say we substitute x = 2 into the polynomial. We get:

P(2) = 2^4 - 32^3 + a2^2 - 6*2 + 14

= 16 - 24 + 4a - 12 + 14

= -4 + 4a + 2

= 4a - 2

We are given that P(2) = 4a - 2 = 0, so 4a = 2.

Solving for a, we get:

a = 2 / 4

= 0.5

V: Check the solution.

We can check the solution by substituting 0.5 for a in the original polynomial and verifying that it gives us the correct result for P(x) when x = 2.

P(x) = x^4 - 3x^3 + 0.5x^2 - 6x + 14

Substituting x = 2 and a = 0.5, we get:

P(2) = 2^4 - 32^3 + 0.52^2 - 6*2 + 14

= 16 - 24 + 1 - 12 + 14

= 0

Since P(2) = 0, our solution appears to be correct.

Therefore, the missing coefficient "a" in the polynomial P(x) = x^4 - 3x^3 + ax^2 - 6x + 14 is 0.5.

Answer:

1. x < 4

2. x > 1

3. x < 5

Step-by-step explanation:

answer :

( 1, 1 / 2 )

explanation :

Midpoint formula :

(x^1, y^1) , (x^2, y^2)

M = ( x^1 + x^2 / 2 ), ( y^1 + y^2 / 2 ).

(x^1, y^1) = (4, 3/4), (x^2, y^2) = (-2, 1/4).

=  ( -2 + 4 / 2,  1/4 + 3/4  / 2 )

= ( 1, 1 / 2 )

Answer:

it would be the first one i think

Step-by-step explanation:

Answer:

Option C: between 2.75 and 3.0

Step-by-step explanation:

Maybe this might help somewhat.

Answer:

-7

Step-by-step explanation:

The line (y-1)=(2/3)(x+1) contains point (a,-3)

=> (-3-1) = (⅔)(a+1)

-4 = (⅔)(a+1(

(a+1)= -4 ÷ ⅔

a + 1 = -4 × 3/2

a+ 1 = -6

a = -6-1

a = -7

The value of 'a' will be;

⇒ a = - 7.

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of line is,

⇒ (y - 1) = (2/3) (x + 1)

And, The point on the line = (a, - 3)

Now,

Since, The point on the line = (a, - 3)

Hence, It satisfy the equation of line.

Substitute x = a and y = - 3, we get;

⇒ (y - 1) = (2/3) (x + 1)

⇒ (- 3 - 1) = (2/3) (a + 1)

⇒ - 4 × 3 = 2a + 2

⇒ - 12 - 2 = 2a

⇒ 2a = - 14

⇒ a = - 7

Thus, The value of a = - 7

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a)The probability that X is less than or equal to 2 and Y is equal to 1 is 1/5.

b) the probability that X is greater than 2 and Y is less than or equal to 1 is 2/15.

c)the probability that X is greater than Y is 2/5.

d)the probability that X plus Y is equal to 4 is 2/5.

(a) To find P(X ≤ 2, Y = 1), we need to sum up the joint probabilities for all values of X that are less than or equal to 2 and Y = 1:

P(X ≤ 2, Y = 1) = f(0,1) + f(1,1) + f(2,1)

= (0+1)/30 + (1+1)/30 + (2+1)/30

= 6/30

= 1/5

Therefore, the probability that X is less than or equal to 2 and Y is equal to 1 is 1/5.

(b) To find P(X > 2, Y ≤ 1), we need to sum up the joint probabilities for all values of X that are greater than 2 and Y is less than or equal to 1:

P(X > 2, Y ≤ 1) = f(3,0) + f(3,1)

= (3+0)/30 + (3+1)/30

= 4/30

= 2/15

Therefore, the probability that X is greater than 2 and Y is less than or equal to 1 is 2/15.

(c) To find P(X > Y), we need to sum up the joint probabilities for all values of X that are greater than Y:

P(X > Y) = f(1,0) + f(2,0) + f(2,1) + f(3,0) + f(3,1) + f(3,2)

= (1+0)/30 + (2+0)/30 + (2+1)/30 + (3+0)/30 + (3+1)/30 + (3+2)/30

= 12/30

= 2/5

Therefore, the probability that X is greater than Y is 2/5.

(d) To find P(X + Y = 4), we need to sum up the joint probabilities for all pairs of X and Y that add up to 4:

P(X + Y = 4) = f(1,3) + f(2,2) + f(3,1)

= (1+3)/30 + (2+2)/30 + (3+1)/30

= 12/30

= 2/5

Therefore, the probability that X plus Y is equal to 4 is 2/5.

(a) To find the marginal distribution of X, we need to sum up the joint probabilities for each possible value of X:

P(X = 0) = f(0,0) + f(0,1) + f(0,2) = (0+0)/30 + (0+1)/30 + (0+2)/30 = 3/30 = 1/10

P(X = 1) = f(1,0) + f(1,1) + f(1,2) = (1+0)/30 + (1+1)/30 + (1+2)/30 = 6/30 = 1/5

P(X = 2) = f(2,0) + f(2,1) + f(2,2) = (2+0)/30 + (2+1)/30 + (2+2)/30 = 9/30 = 3/10

P(X = 3) = f(3,0) + f(3,1) + f(3,2) = (3

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The series expansion of \(tan^{(-1)}(x)\) can be used to approximate the definite integral of the function over a given interval.

∫\([a, b] tan^{(-1)}(x) dx\)=∫\(= [a, b] (x - (x^3)/3 + (x^5)/5 - (x^7)/7 + ...)\)

To approximate the definite integral of tan^(-1)(x) using a series, we can use the Taylor series expansion of the arctangent function. The Taylor series expansion of tan^(-1)(x) is given by:

\(tan^{(-1)}(x) = x - (x^3)/3 + (x^5)/5 - (x^7)/7 + ...\)

The accuracy of the approximation depends on the number of terms used in the series. The more terms included, the more accurate the approximation will be.

Let's say we want to approximate the definite integral of tan^(-1)(x) over the interval [a, b]. We can rewrite the integral as the limit of a series:

To approximate the integral, we can truncate the series after a certain number of terms and integrate each term individually over the interval [a, b]. Then, we sum up the results of each term to get the approximate value of the integral.

The accuracy of the approximation can be improved by including more terms in the series or by decreasing the interval [a, b] to a smaller subinterval.

It's important to note that the accuracy of the approximation depends on the choice of interval [a, b] and the number of terms used in the series. The more terms included and the smaller the interval, the more accurate the approximation will be.

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Length of the diagonal of rectangular prism is equals to 13units.

" Rectangular prism is a three dimensional figure which has six faces in rectangular shape."

Formula used

Total surface area of the rectangular prism = 2(l b + b h +l h)

Sum of all the  edges of the prism = 4 (l +b + h)

length of the diagonal  of the prism = √l² + b² + h²

l = length of the prism

b = width of the prism

h = height of the prism

According to the question,

Given,

Total surface area of the rectangular prism = 56 units

⇒2(l b + b h +l h) = 56

Sum of all the edges of the prism = 60 units

⇒4(l + b + h) = 60

Divide both the side by 4 we get,

 (l + b + h) = 60 / 4

⇒(l + b + h) = 15                               ____(1)

Squaring both the side of (1)  we get,

  (l + b + h)² = (15)²

⇒l² + b² + h² + 2 (l b + b h +l h) = 225

Substitute the value of total surface area  to get length of the diagonal,

 l² + b² + h² + 56 = 225

⇒l² + b² + h²  = 225 - 56

⇒l² + b² + h²  = 169

⇒√l² + b² + h²  = √169

⇒√l² + b² + h²  =  13

Hence, length of the diagonal of rectangular prism is equals to 13units.

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Answer:

25.981 seconds

Step-by-step explanation:

because X represents the magnitutde of falling height substitute 1200 into the original equation and you will find the above answer

the probability that a randomly chosen point is in the black region is: 17/36 ≈ 0.472 or about 47.2%

To find the probability that a randomly chosen point is in the black region, we need to divide the number of black squares by the total number of squares in the grid.

Counting the number of black squares, we see that there are 17.

Counting the total number of squares in the grid, we see that there are 36.

Therefore, the probability that a randomly chosen point is in the black region is: 17/36 ≈ 0.472 or about 47.2%

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Answer:

5  10   15   20  

4   8    12   16

Step-by-step explanation:

Flour: 5,10,15,20

Sugar:4,8,12,16

so the amount of flour you need is 20 cups and the amount of sugar is 16 cups

The probability that a randomly chosen person from the united states can donate blood to maria is 0.50

considering blood to be of types A,B,AB and O

further all blood groups are equi probable

Probability of blood type A  = probability of blood type B = probability of blood type AB = probability of blood type O = x

Probability of blood type A  + probability of blood type B + probability of blood type AB + probability of blood type O = 1

⇒ 4x = 1

⇒ x = 1/4

Probability that a random person will have blood of type B or O = x+x

= 1/4 + 1/4

= 1/2

= 0.50

Hence we get the required answer.

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we can conclude that f'(0) does not exist because the limit of the difference quotient as x approaches 0 does not exist.

To determine whether the derivative of f(x), denoted as f'(0), exists at x = 0, we need to check if the limit of the difference quotient exists as x approaches 0.

The difference quotient formula for the derivative is:

f'(a) = lim (h->0) [(f(a + h) - f(a))/h]

In this case, we need to evaluate f'(0), so our formula becomes:

f'(0) = lim (h->0) [(f(0 + h) - f(0))/h]

Substituting the definition of f(x) into the formula, we have:

f'(0) = lim (h->0) [(0 + h * sin(1/(0 + h)) - 0)/h]

Simplifying the expression further, we get:

f'(0) = lim (h->0) [h * sin(1/h)/h]

Canceling out h in the numerator and denominator, we have:

f'(0) = lim (h->0) [sin(1/h)]

Now, as h approaches 0, the value 1/h approaches infinity. As sin(1/h) oscillates between -1 and 1 for all non-zero values of 1/h, the limit of sin(1/h) as h approaches 0 does not exist.

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Answer:

A

Step-by-step explanation:

I am not sure but I think A

Answer:

a) 22583

b) 37345

Step-by-step explanation:

Divisibility by 11

Rule: A number passes the test for 11 if the difference of the sums of alternating digits is divisible by 11.

For example, the number 14982 is divisible by 11. Sum the digits

1+9+2=12

4+8=12

Subtract them: 12-12=0. Since 0 is divisible by 11, then the number also is.

The number 745102 is not divisible by 11:

7+5+0=12

4+1+2=7

12-7=5. 5 is not divisible by 11.

a) 2_583. Let's call X to the unknown digit 2X583

2+5+3=10

X+8 should be 10 or 21, so 10-10=0 or 21-10=11 are divisible by 11, but X cannot be greater than 9, thus

X+8=10 => X=2. The number is 22583

b) 37X45

4+7=11

3+X+5 should be 11 or 21. Again, X must be less than 10, thus

3+X+5=11 => X=3. The number is 37345

Answer:

20hours;

27houses.......................

Answer:

x=409

Step-by-step explanation:

you just solve, -15+5x=2030

add 15 both sides->5x=2030

divide by 5 both sides-> x=409

Answer:

409

Step-by-step explanation:

Mark as Brainliest!!! Hopes This Helps:)

The schedule is as follows:

T1 -> T2 -> T1 -> T3 -> T1 -> T2 -> T1.

To construct a schedule using the Earliest Deadline First (EDF) scheduling algorithm, we need to consider the execution time, period, and deadline of each task and assign them priorities based on their deadlines. The task with the earliest deadline will be scheduled first. Let's create a schedule for the given task set:

Task T1: Execution time (e) = 2 ns, Period (P) = 5 ns, Deadline (D) = 5 ns

Task T2: Execution time (e) = 4 ns, Period (P) = 7 ns, Deadline (D) = 7 ns

Task T3: Execution time (e) = 7 ns, Period (P) = 7 ns, Deadline (D) = 7 ns

We have a period of 22 ns, and we need to schedule these tasks within that period. Let's start with the task with the earliest deadline:

At time 0 ns: Execute T1 (2 ns)

At time 2 ns: Execute T2 (4 ns)

At time 6 ns: Execute T1 (2 ns)

At time 8 ns: Execute T3 (7 ns)

At time 15 ns: Execute T1 (2 ns)

At time 17 ns: Execute T2 (4 ns)

At time 21 ns: Execute T1 (2 ns)

This completes the execution of all tasks within the given period of 22 ns. The schedule is as follows:

T1 -> T2 -> T1 -> T3 -> T1 -> T2 -> T1

In this schedule, we have followed the EDF algorithm by selecting tasks based on their deadlines. The task with the earliest deadline is always scheduled first to meet the timing requirements of the system.

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The length of the guy wire, to the nearest foot, is 109 feet.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

From the diagram.

ΔABE is similar to ΔCDE.

CD = 9 ft

DE = 1 ft

BD =11 ft

And we know,

ΔABE ~ ΔCDE.

So, the corresponding sides of similar triangles,

AB/CD = BE/DE

AB/9 = (11 + 1)/1

AB/9 = 12

AB = 12 x 9

AB = 108 feet.

To find AE:

Applying Pythegoras' theorem,

we get,

AE = √(AB² + BE²)

AE = √(108² + 12²)

AE = 108.67

Therefore, AE = 109 feet.

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Answer:

B

Step-by-step explanation:

B. a + (-7 + 7) = a +0

When you remove a from both sides, you're left with -7+7=0 which shows that the opposites of the numbers add up to 0.

Answer:

B

Step-by-step explanation:

If we feed the dog with same amount of food and with , without water , then the independent variable is " presence or absence of added water" .

The Independent Variable is the factor that is manipulated or varied in an experiment in order to observe the effect on the dependent variable.

In this case, the dependent variable would be the amount of food consumed by the dog.

By adding or not adding water to the food and keeping all other conditions constant ; such as:  using the same bowls, feeding the dog at the same time of day ,

the experiment aims to determine the effect of the independent variable (added water) on the dependent variable (amount of food consumed).

Therefore , the independent variable in this situation  is " presence or absence of water" .

The given question is incomplete , the complete question is

You try feeding your dog the same amount of food both with and without added water while using the same bowls at the same time of day.

What is the independent variable ?

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Area of full pyramid: = 1/3 x area of base x height

Area = 1/3 x 64^2 x 36 = 49,152 cubic meters

Area of top section: 1/3 x 16^2 x 12 = 1,024 cubic meters

Total volume of truncated pyramid = 49,152 - 1,024 = 48,128 cubic meters

Answer:

-6

Step-by-step explanation:

Hello!

Since we are finding f(-1) we put -1 in for x

2(-1)^2 + 8(-1)

Follow PEMDAS

2 * 1 + 8(-1)

2 * 1 + -8

2 + -8 = -6

The answer is -6

Hope this helps!

Answer:

the market price of the sprinter is 597.06

Step-by-step explanation:

Using Cosine rule, we have:

q² = r² + s² - 2(r)(s)(cosQ)

= 380² + 390² - 2(380)(390)(cos48°)

= 98169.688cm²

Hence q = 313cm. (nearest centimeter)

The required value of side q is 313 cm for the triangle ΔQRS.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

In triangle QRS side r = 380 cm, side s = 390 cm and angle Q = 48°.

To find the length of the side q,

Use cosine rule,

\(cos Q = \frac{(r^2 + s^2 - q^2)}{(2\times r \times s)}\)

Substitute the values here,

\(cos 48 = \frac{(380)^2 + (390)^2- q^2}{2\times380 \times390} \\\)

\(0.67 = \frac{144400 + 152100 - q^2}{296400}\)

198,588 = 296500 - q²

q² = 97912

q = 312.90

q = 313 cm

The value of side q is 313 cm.

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Step 1

Given;

Required; To find the price per ounce

Step 2

State the ratio that can be used to find the price per ounce of the candy bars.

Answer:

pat

Step-by-step explanation:

2.75+3+2.5=8.25 pat

2+2.25+3.5=7.5 toby

8.25 > 7.5

To answer your question, we need to use the Hardy-Weinberg equation, which tells us the expected genotype frequencies in a population. The equation is p^2 + 2pq + q^2 = 1, where p is the frequency of the dominant allele and q is the frequency of the recessive allele.

In this case, we know that q = 0.1, so p = 1 - q = 0.9. We can plug these values into the equation to find the expected genotype frequencies:
(0.9)^2 + 2(0.9)(0.1) + (0.1)^2 = 0.81 + 0.18 + 0.01 = 1.
This means that in a population of 3600, we expect to see 0.01 of individuals with the homozygous recessive genotype (tt), since q^2 represents the frequency of this genotype.

To find out how many people in the population will have Tay-Sachs disease, we simply multiply the expected frequency of the tt genotype by the total population size: 0.01 x 3600 = 36.
Therefore, we would expect 36 individuals in the population of 3600 to have Tay-Sachs disease, assuming that the population is in Hardy-Weinberg equilibrium and that all other assumptions of the model are met.

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Answer:

P(even number) = \(\frac{1}{4}\)

P (B) = \(\frac{1}{3}\)

P(even, B) = \(\frac{3}{7}\)

Step-by-step explanation:

$ 58.50

Step-by-step explanation:

because 39 Divided by 6 is 6.5 and 6.5 × 9 it's 58 50