plsss helpp
( ignore the options i already tried to put in thats probably wrong)
1.EXPERIMENTAL probability of landing on heads: ____
2. THEROTICALLY if you toss a coin the probability of landing on heads= ____
3. are the two probability’s equal
4. which was a higher probability

Answer:

In believe it’s 68 but I might be wrong so if it is sorry

Step-by-step explanation:

vitive is D: −nnn−4.

To answer the question, the expression with the least vitive is D: −nnn−4.

For reference, the expressions in the question are:
4. c3v9c−1c0
6. 9y4j2y−9
8. 2y−9h2(2y0h−4)−6
10. (−3q−1)3q2

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Answer:

The original cost for 1 pound of coffee is $4.50, and Gabriel wants to buy 4 pounds, so the total cost without the coupon would be:

4 pounds x $4.50/pound = $18

With the coupon, Gabriel can subtract $2 from the final amount, so the total cost with the coupon would be:

$18 - $2 = $16

Therefore, Gabriel would have to pay $16 to buy 4 pounds of coffee with the coupon.

To write an expression for the cost to buy p pounds of coffee, we can use the formula:

cost = price per pound x number of pounds - coupon

If Gabriel buys at least one pound of coffee, then the expression would be:

cost = $4.50p - $2

So the cost to buy p pounds of coffee can be calculated by plugging in the desired value for p into this expression.

The probability that the proportion of sampled residents who are making an effort to conserve water or electricity is greater than 80% is 0.0107.

To find the probability that the proportion of sampled residents who are making an effort to conserve water or electricity is greater than 80%, use the formula for the standard error of a proportion:

SE = √(p(1-p)/n)

Where p is the proportion of the population that is making an effort to conserve water or electricity, and n is the sample size.

In this case, p = 0.72 and n = 110. Plugging these values into the formula gives:

SE = √(0.72(1-0.72)/110) = 0.0347

Next, we need to find the z-score for the proportion of 0.80. The z-score is given by:

z = (P - p)/SE

Where P is the sample proportion and p is the population proportion. In this case, P = 0.80 and p = 0.72. Plugging these values into the formula gives:

z = (0.80 - 0.72)/0.0347 = 2.30

Finally, we can use the z-score to find the probability that the proportion of sampled residents who are making an effort to conserve water or electricity is greater than 80%. This is given by:

P(z > 2.30) = 1 - P(z < 2.30) = 1 - 0.9893 = 0.0107

Therefore, the probability is 0.0107 or 1.07%.

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AB is parallel to DC because they are equal and corresponding sides of similar triangles.

The reflexive property of equality is a basic principle in mathematics that states that any quantity is equal to itself. In other words, if we have a variable, say "a", then a is always equal to a. Similarly, if we have an equation such as 2 + 3 = 5, we can use the reflexive property of equality to say that 5 = 5, since any quantity is equal to itself. The reflexive property is used frequently in mathematical proofs to simplify expressions and make them easier to work with.

AD || BC, AD = CB - Reflexive Property of Equality

Explanation: This reason uses the reflexive property of equality, which states that a quantity is equal to itself. In this case, the reason is stating that the given information is true and using the reflexive property of equality to restate it in a different way.

2 = 3 - If Alternate Interior Angles are Congruent, then Lines are Parallel.

Explanation: This reason uses the angle congruence property that if the alternate interior angles are congruent, then the lines are parallel. This property is used to show that angles ACD and CAB are congruent because they are alternate interior angles.

ACD = CAB - If Lines are Parallel, then Alternate Interior Angles are Equal.

Explanation: This reason uses the angle equality property that if the lines are parallel, then the alternate interior angles are equal. This property is used to show that lines AD and BC are parallel because they are given to be parallel, and therefore the alternate interior angles ACD and CAB are equal.

1 = 4 - SAS (Side-Angle-Side)

Explanation: This reason uses the similarity property that if two triangles have the same side-angle-side, then they are similar. This property is used to show that triangles ABD and CBD are similar because they have the same side AD = CB and the same angles ABD and CBD.

AB || DC - CPCTE (Corresponding Parts of Congruent Triangles are Equal)

This reason uses the CPCTE property that the corresponding parts of congruent triangles are equal. This property is used to show that sides AB and DC are equal because they are corresponding sides of similar triangles ABD and CBD. Therefore, AB is parallel to DC because they are equal and corresponding sides of similar triangles.

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If the number when rounded to 2 decimal places  is equal to 9.68, then the upper bound is 9.685 and lower bound is 9.675 .

In order to find the upper bound of the number y, we need to add 0.005,

and to find the lower bound of the number y, we need to subtract 0.005 ,

We know that, the number y, when rounded to 2 decimal places is equal to 9.68 ;

So, the Upper Bound is = 9.68 + 0.005 = 9.685, and

The Lower Bound is = 9.68 - 0.005 = 9.675.

Therefore, the lower bound of y is 9.675 and upper bound of y is 9.685.

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Using the values given in the table to evaluate each expression, the value of each expression is (a) 5, (b) 8, (c) -7, (d) -3, (e) 1, and (f) 3.

To evaluate the expressions, we need to use the values given in the table for f(x) and g(x). The composition of functions (f∘g)(x) means that we plug the value of g(x) into the function f(x).

a. (f∘g)(1) = f(g(1)) = f(0) = 5

b. (f∘g)(2) = f(g(2)) = f(-3) = 8

c. (g∘f)(2) = g(f(2)) = g(3) = -7

d. (g∘f)(3) = g(f(3)) = g(2) = -3

e. (g∘g)(1) = g(g(1)) = g(0) = 1

f. (f∘f)(3) = f(f(3)) = f(2) = 3

Therefore, the answers are (a) 5, (b) 8, (c) -7, (d) -3, (e) 1, and (f) 3.

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Answer:

D, $900

Step-by-step explanation:

and monthly payments of $215, we can use the following formula:

Total interest = Total amount paid - Principal

where:

Total amount paid = Monthly payment x Number of payments

Number of payments = Number of years x 12

In this case, Tyler made monthly payments of $215 for 5 years, which is a total of 5 x 12 = 60 payments.

Substituting these values into the formula, we get:

Total amount paid = $215 x 60 = $12,900

Total interest = $12,900 - $12,000 = $900

Therefore, Tyler paid $900 in interest over the five-year period. The answer is option D: $900.

Answer:

The inequality that shows the range from -9 to 9, but only including the range from -4 to 3, can be written as:

-4 ≤ x ≤ 3

This inequality means that x can take on any value between -4 and 3, including -4 and 3 themselves, but it cannot be less than -4 or greater than 3. The inequality does not include the values between -9 and -4, or between 3 and 9.

Step-by-step explanation:

explanation of how to arrive at the inequality -4 ≤ x ≤ 3 to represent the range from -9 to 9, but only including the range from -4 to 3:

Start with the range from -9 to 9:

-9 ≤ x ≤ 9

Identify the portion of the range that we want to include:

-4 ≤ x ≤ 3

Replace the original range with the desired range:

-4 ≤ x ≤ 3 replaces -9 ≤ x ≤ 9

Check that the inequality is inclusive of the desired range but not of any values outside of that range:

-4 is included in the range -4 ≤ x ≤ 3, but is not included in the original range -9 ≤ x ≤ 9. Similarly, 3 is included in the range -4 ≤ x ≤ 3, but is not included in the original range -9 ≤ x ≤ 9. Any values less than -4 or greater than 3 are excluded from the range -4 ≤ x ≤ 3, as desired.

Therefore, the inequality -4 ≤ x ≤ 3 represents the range from -9 to 9, but only including the range from -4 to 3.

The inequality -4 ≤ x ≤ 3 represents the range from -9 to 9, but only including the range from -4 to 3.

The inequality that shows the range from -9 to 9, but only including the range from -4 to 3, can be written as:

-4 ≤ x ≤ 3

This inequality means that x can take on any value between -4 and 3, including -4 and 3 themselves, but it cannot be less than -4 or greater than 3. The inequality does not include the values between -9 and -4, or between 3 and 9.

explanation of how to arrive at the inequality -4 ≤ x ≤ 3 to represent the range from -9 to 9, but only including the range from -4 to 3:

Start with the range from -9 to 9:

-9 ≤ x ≤ 9

Identify the portion of the range that we want to include:

-4 ≤ x ≤ 3

Replace the original range with the desired range:

-4 ≤ x ≤ 3 replaces -9 ≤ x ≤ 9

Check that the inequality is inclusive of the desired range but not of any values outside of that range:

-4 is included in the range -4 ≤ x ≤ 3, but is not included in the original range -9 ≤ x ≤ 9. Similarly, 3 is included in the range -4 ≤ x ≤ 3, but is not included in the original range -9 ≤ x ≤ 9. Any values less than -4 or greater than 3 are excluded from the range -4 ≤ x ≤ 3, as desired.

Therefore, the inequality -4 ≤ x ≤ 3 represents the range from -9 to 9, but only including the range from -4 to 3.

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Answer:

i dont think its possible

The vector x whose image under T is b is x = [23/19 -129/19​].

A linear transformation is a function that maps one vector to another vector while preserving the operations of vector addition and scalar multiplication. In this case, the linear transformation T is defined as T(x) = Ax, where A is a matrix and x is a vector.

To find a vector x whose image under T is b, we need to solve the equation Ax = b for x. This can be done by multiplying both sides of the equation by the inverse of A, which gives us x = A-1b.

Using the formula for the inverse of a 2x2 matrix, we can find A-1:

A-1 = (1/(6*4 - 5*1)) * [4 -5​-1 6​] = [4/19 -5/19​-1/19 6/19​]

Now we can multiply A-1 by b to get x:

x = A-1b = [4/19 -5/19​-1/19 6/19​] * [−9−17​] = [(4/19)*(-9) + (-5/19)*(-17) (−1/19)*(-9) + (6/19)*(-17)​] = [23/19 -129/19​]

Therefore, the vector x whose image under T is b is x = [23/19 -129/19​].

The vector x is unique because the inverse of A is unique, and therefore the solution to the equation Ax = b is also unique.

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Answer:

9/12

Step-by-step explanation:

3/4 converted is 9/12 3x3 is 9 and 4x3 is 12.

Therefore , the solution of the given problem of fraction comes out to be -3 5/8 as a result.

Any combination of equal portions or fractions can be combined to represent a whole. In standard English, the quantity of a certain size is defined as a fraction. 8, 3/4. Wholes also include fractions. The ratio of numerator to ratio is a mathematical symbol for integers. All of these number fractions are simple fractions. There is a fraction inside of the fraction but rather remainder in a difficult fraction.

Here,

=> 9 1/4 = (4 x 9 + 1)/4 = 37/4

=> 12 7/8 = (8 x 12 + 7)/8 = 103/8

4 and 8 have the same shared factor, which is 8.

=> 37/4 - 103/8 = (2 x 37)/(2 x 4) (2 x 4) - 103/8

=> 74/8 - 103/8

=> -29/8

There is no simpler way to describe the outcome.

Since the outcome is already an incorrect fraction, we can change it back to a mixed integer as follows:

-29/8 = -3 5/8

9 1/4 - 12 7/8 Equals -3 5/8 as a result.

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¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)

Proof:

1. ∃x(Fx & Gx) [Premise]

2. Fx & Gx [∃-Elimination, 1]

3. ∃xFx [∃-Introduction, 2]

4. ∃xGx [∃-Introduction, 2]

5. ∃xFx & ∃xGx [Conjunction Introduction, 3 and 4]

6. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx [1-5, Modus Ponens]

ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks)

Proof:

1. ¬ 3x(Px v Qx) [Premise]

2. ¬ Px v ¬ Qx [DeMorgan’s Law, 1]

3. Vx ¬ Px [∀-Introduction, 2]

4. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px [1-3, Modus Ponens]

iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)

Proof:

1. ¬ Vx(Fx → Gx) v 3xFx [Premise]

2. (¬ Vx(Fx → Gx) v 3xFx) → (¬ Vx(Fx → Gx) v Fx) [Implication Introduction]

3. ¬ Vx(Fx → Gx) v Fx [Resolution, 1, 2]

4. (¬ Vx(Fx → Gx) v Fx) → (Fx → Gx) [Implication Introduction]

5. Fx → Gx [Resolution, 3, 4]

6. ¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

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Answer:

Step-by-step explanation:

Decreasing.

This is because the as you increase the X value and solve for Y, the Y value decreases.

For example:

[tex]x=1 \\y=2(\frac{1}{3} )^1\\y=\frac{2}{3} =0.667\\\\x=2\\y=2(\frac{1}{3} )^1\\y=\frac{2}{9}=0.222\\\\x=3\\y=2(\frac{1}{3} )^3\\y=\frac{2}{27}=0.074[/tex]

The equation correctly represents the amount of money in her savings account in terms of the monthly growth rate is [tex]y = 2000(1 + 0.0033)^t[/tex]. Option D is the correct answer.

The interest earned on savings that is computed using both the original principle and the interest accrued over time is known as compound interest. It is said that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely computed on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

Given that, the function of the model of the account is:

[tex]y = 2000(1.04)^t[/tex]

The monthly interest rate is:

r = 4% / 12 = 0.00333

The model in terms of monthly interest rate can be written as:

[tex]y = 2000(1 + r)^{12t/12}[/tex]

Substituting the value of r:

[tex]y = 2000(1 + 0.0033)^t[/tex]

Hence, the equation correctly represents the amount of money in her savings account in terms of the monthly growth rate is [tex]y = 2000(1 + 0.0033)^t[/tex].

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The scale factor used to produce Figure 2 from Figure 1 is given as follows:

7/3.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The side lengths are given as follows:

Hence the scale factor of the dilation is given as follows:

7/3.

(the scale factor is the division of the side length of the dilated figure by the equivalent side length of the original figure).

The problem asks for the scale factor used from figure 1 to figure 2.

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Answer:

C 7/3 because i got it right

Bank B may be a better option because the 10 percent increase is applied to the new balance each year, whereas Bank A only adds a flat 6 dollars each year.

If you put your money into Bank A, you will have to equate it as 60 + 6 = <<60+6=66>>66 dollars after one year.

If you put your money into Bank B, you will have 60 + (60 * 0.10) = 60 + 6 = <<60+(60*0.10)=66>>66 dollars after one year of the investment.

So, after one year, you will have the same amount of money in both Bank A and Bank B.

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No, (8, 2) is not a solution to the inequality y ≥ 3x + 4 because when we substitute x = 8 and y = 2 into the inequality, we get a false statement. In other words, the point (8, 2) does not satisfy the inequality y ≥ 3x + 4, which means it is not a valid solution to the inequality.

To determine whether (8, 2) is a solution to the inequality y ≥ 3x + 4, we need to substitute the values of x and y into the inequality and check if the inequality holds true.

y ≥ 3x + 4

Substituting x = 8 and y = 2:

2 ≥ 3(8) + 4

2 ≥ 24 + 4

2 ≥ 28

The inequality is not true since 2 is not greater than or equal to 28.

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Answer:

$512.17

$286.48

$1,958.40

$1,628.85

$56.37

$324.24

$135.55

Note: These calculations were made assuming simple interest. If the interest is compounded, the final amounts will be slightly different.

Step-by-step explanation:

4x^(2)+2x+2 with a remainder of -8.

The quotient and remainder of the given expression can be found by performing polynomial long division.

First, divide the leading term of the dividend, 8x^(3), by the leading term of the divisor, 2x. This gives a quotient of 4x^(2).

Next, multiply the divisor, (2x+5), by the quotient, 4x^(2), to get 8x^(3)+20x^(2).

Then, subtract this product from the dividend to get a new dividend of 4x^(2)+14x+2.

Repeat this process by dividing the leading term of the new dividend, 4x^(2), by the leading term of the divisor, 2x, to get a new quotient of 2x.

Multiply the divisor, (2x+5), by the new quotient, 2x, to get 4x^(2)+10x.

Subtract this product from the new dividend to get a new dividend of 4x+2.

Finally, divide the leading term of the new dividend, 4x, by the leading term of the divisor, 2x, to get a new quotient of 2.

Multiply the divisor, (2x+5), by the new quotient, 2, to get 4x+10.

Subtract this product from the new dividend to get a remainder of -8.

So, the final quotient is 4x^(2)+2x+2 and the final remainder is -8.

Therefore, the answer is: (8x^(3)+24x^(2)+14x+2)-:(2x+5) = 4x^(2)+2x+2 with a remainder of -8.

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The solution to this system of equations is: \[ \begin{array}{l} x=40 \\ y=-111 \\ z=-3.5 \end{array} \]

To solve this system of equations using Cramer's Rule, we will begin by finding the determinant of the coefficient matrix, which is an array of the coefficients of the variables in the equations. We will then find the determinants of the matrices that result from replacing each column of the coefficient matrix with the constant terms of the equations. Finally, we will use these determinants to find the values of x, y, and z.

The coefficient matrix is: \[ \begin{array}{ccc} -3 & -4 & -4 \\ 1 & -3 & -3 \\ -1 & 1 & -2 \end{array} \]

The determinant of the coefficient matrix is: \[ \begin{array}{ccc} -3 & -4 & -4 \\ 1 & -3 & -3 \\ -1 & 1 & -2 \end{array} = (-3)(-3)(-2) - (-4)(-3)(-1) - (-4)(1)(1) - (-4)(-3)(-1) - (-4)(-3)(1) - (-4)(1)(-2) = -6 + 4 + 4 + 4 - 12 + 8 = -2 \]

The matrix that results from replacing the first column of the coefficient matrix with the constant terms is: \[ \begin{array}{ccc} -8 & -4 & -4 \\ -19 & -3 & -3 \\ 3 & 1 & -2 \end{array} \]

The determinant of this matrix is: \[ \begin{array}{ccc} -8 & -4 & -4 \\ -19 & -3 & -3 \\ 3 & 1 & -2 \end{array} = (-8)(-3)(-2) - (-4)(-3)(3) - (-4)(-19)(1) - (-4)(-3)(3) - (-4)(-19)(1) - (-4)(-3)(-2) = 48 - 36 - 76 + 36 - 76 + 24 = -80 \]

The matrix that results from replacing the second column of the coefficient matrix with the constant terms is: \[ \begin{array}{ccc} -3 & -8 & -4 \\ 1 & -19 & -3 \\ -1 & 3 & -2 \end{array} \]

The determinant of this matrix is: \[ \begin{array}{ccc} -3 & -8 & -4 \\ 1 & -19 & -3 \\ -1 & 3 & -2 \end{array} = (-3)(-19)(-2) - (-8)(-3)(-1) - (-4)(1)(3) - (-4)(-19)(-1) - (-4)(-3)(1) - (-4)(1)(-2) = 114 + 24 + 12 + 76 - 12 + 8 = 222 \]

The matrix that results from replacing the third column of the coefficient matrix with the constant terms is: \[ \begin{array}{ccc} -3 & -4 & -8 \\ 1 & -3 & -19 \\ -1 & 1 & 3 \end{array} \]

The determinant of this matrix is: \[ \begin{array}{ccc} -3 & -4 & -8 \\ 1 & -3 & -19 \\ -1 & 1 & 3 \end{array} = (-3)(-3)(3) - (-4)(-19)(-1) - (-8)(1)(1) - (-8)(-3)(-1) - (-8)(-19)(1) - (-8)(1)(3) = 27 + 76 + 8 + 24 - 152 + 24 = 7 \]

Using these determinants, we can find the values of x, y, and z: \[ x = \frac{-80}{-2} = 40 \] \[ y = \frac{222}{-2} = -111 \] \[ z = \frac{7}{-2} = -3.5 \]

Therefore, the solution to this system of equations is: \[ \begin{array}{l} x=40 \\ y=-111 \\ z=-3.5 \end{array} \]

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The numeric value of the composite function at x = 4 is given as follows:

|f(4) - 1|.

The composite function of f(x) and g(x) is given by the following rule:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

If g is the outer function, as is the case for this problem, we have that:

(g • f)(x) = g(f(x)).

At x = 4, the numeric value of the composite function is given as follows:

g(f(4)) = |f(4) - 1|.

The problem is incomplete, hence the composite function is given in general terms.

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As a result, we can assume that the fast-food business added about 3,454 new outlets in 2005.

What are equations used for?

A mathematical equation, such as 6 x 4 = 12 x 2, states that two variables or values are equivalent. a meaningful noun. An equation is used when two or maybe more factors must be considered jointly in order to understand or explain the whole situation.

We can apply the following formula to find an exponentially model that matches the data:

y = abˣ

Where x is the length of time after 1988, y is the number of fresh restaurants that open each year, and a and b are undetermined constants.

We may use the information from the years 1988 and 1989 to get the constants a and b:

49 = ab⁰

81 = ab¹

As a result of the first equation, a = 49. When we put it in the second equation, we obtain this result:

81 = 49b¹

b = 81/49

The following is the exponentially model that best matches the data:

y = 49(81/49)ˣ

Since 2005 is 17 years after 1988, we need to determine the value of y when x = 17 in order to figure out the number of new eateries that debuted in 2005:

y = 49(81/49)¹⁷

y ≈ 3,454

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The solutions are: z = -3, -2, and -1. This equation is a third-degree polynomial equation and it can have up to three solutions. To find these solutions, you can use the Rational Root Theorem.

This theorem states that all rational solutions of a polynomial equation can be written in the form a/b, where a is a divisor of the coefficient of the constant term, and b is a divisor of the coefficient of the leading term.

For this equation, the constant term is 24 and the leading term is 1, so the possible solutions can be expressed as a/b, where a is a divisor of 24 and b is a divisor of 1. Therefore, the possible solutions are ±1, ±2, ±3, ±4, ±6, ±8, ±12, and ±24. To find the exact solutions, substitute these values for z into the equation and solve for each value.

The solutions are: z = -3, -2, and -1.

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Isabella and Jayla are thus separated by about 11.0 metres.

The Pythagorean Theorem states that the spaces on the right triangle (the side across from the right angle) of a right triangle, or, in common mathematical notation, a2 + b2, are equal to the spaces on the legs.

The Pythagoras formula can be used to resolve this issue. Let's call the distance between Isabella and Jayla "x". Then we have:

x² = (6.3)² + (9)²

Simplifying:

x² = 39.69 + 81

x² = 120.69

Taking the square root of both sides:

x ≈ 10.98

Rounding to the nearest tenth, we get:

x ≈ 11.0

Therefore, Isabella and Jayla are approximately 11.0 meters apart.

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Answer:

1/4

Step-by-step explanation:

Fractions have two parts, the numerator and the denominator. The denominator is the bottom number and it tells us what unit of fraction we are working with (ie: it denotes fourths, halves, etc.)

Hope it helps! :D

The remainder on dividing 12-5x+3x^(2)+2x^(3) by x+3 is -39.

This can be found by using long division or synthetic division. The result of the division is 2[tex]x^{(2)}[/tex]-11x+21 with a remainder of -39.

To compare this with P(-3), we need to plug in -3 for x in the original polynomial P(x)=12-5x+3[tex]x^{(2)}[/tex]+2[tex]x^{(3)}[/tex].

This gives us:

P(-3)= 12-5(-3)+3(-3)[tex]^{(2)}[/tex]+2(-3)[tex]^{(2)}[/tex]

      =12+15+27-54=-39

Therefore, the remainder is the same as P(-3) for the given polynomial.

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The exact value of sec(sin-1(3/10)) is 1.049988251.

The exact value of sec(sin-1(3/10)) can be found using the following steps:

Step 1: Enter the value of sin-1(3/10) into a calculator to get the angle measure in radians. This will give you an angle measure of 0.304692654.

Step 2: Take the cosine of this angle measure using a calculator. This will give you a value of 0.952424403.

Step 3: The value of secant is the reciprocal of the value of cosine. So, to find the exact value of sec(sin-1(3/10)), take the reciprocal of 0.952424403. This will give you an exact value of 1.049988251.

Step 4: Simplify any radicals if necessary. In this case, there are no radicals to simplify.

Therefore, the exact value of sec(sin-1(3/10)) is 1.049988251.

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