Select the correct answer. Solve the following quadratic equation. 24x2 + 32x = 0

Answer:

5/6

Step-by-step explanation:

The solution of the given fraction is 5/6.

Given that:

Fraction: divided 2/3 by 4/5

To calculate the division of fractions, simply need to multiply the first fraction by the reciprocal of the second fraction.

\(\dfrac{2/3}{4/5} =\dfrac{2}{3} \times \dfrac{5}{4}\\\dfrac{2/3}{4/5} =\dfrac{(2 \times5)}{(3 \times4) }\\\dfrac{2/3}{4/5} =10 / 12\)

To simplify the fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 2:

10 / 12 = 5 / 6

So, 2/3 divided by 4/5 is equal to 5/6.

Hence, the required result is 5/6.

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Simplified value of  subtraction of 7x+27x+2 from -5x^2-2x−5x 2 −2x. is \(-10x^{2} -38x-2\).

Given Expressions  7x+27x+2 and  -5x^2-2x−5x 2 −2x.

Expressions refers to the combination of numbers, variables and symbols. It represents the relationship between variables. They are solved for finding out the value of variables. It is mainly not in equal to form. Subtraction is possible when subtracting the coefficients of same variable.

We have to subtract 7x+27x+2 from -5x^2-2x−5x 2 −2x. and to do this we need to first solve the expressions itself.

7x+27x+2=34x+2------------------1

\(-5x^{2} -2x-5x^{2} -2x\)=\(-10x^{2} -7x-2x\)--------------------2

Now subtract 1 from 2

=\(-10x^{2} -7x-2x\)-34x+2

=\(-10x^{2} -38x-2\).

Hence the simplified value of subtraction is \(-10x^{2} -38x-2\).

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Answer:

B, It will take about 16 months to save for the keyboard.

Step-by-step explanation:

The price : $2,344

Divide the price by 150.

\(\frac{2344}{150}\) ≈ 16

It will take about 16 months to save for the keyboard.

Step-by-step explanation:

46. X= 1. B)

47. xm/ yn. c)

48. x^ -n. d)

49. (x/y)^m. AB)

The value of the trigonometric ratio tan(z) is approximately 0.342857.

We can use the tangent function to find the value of tan(z), given the lengths of the two sides adjacent and opposite to the angle z in a right triangle.

Since we are given the lengths of the sides x and y, we can use the Pythagorean theorem to find the length of the hypotenuse, which is opposite to the right angle:

h^2 = x^2 + y^2

h^2 = 35^2 + 12^2

h^2 = 1369

h = sqrt(1369)

h = 37 (rounded to the nearest integer)

Now that we know the lengths of all three sides of the right triangle, we can use the definition of the tangent function:

tan(z) = opposite/adjacent = y/x

tan(z) = 12/35 ≈ 0.342857

Therefore, the value of the trigonometric ratio tan(z) is approximately 0.342857.

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The statements and reasons that complete the proof are:

4. ∠SPQ ≅ ∠TQR [alternate interior angles theorem]

5. ΔPQS ≅ ΔQRT [ASA congruence theorem]

When two pairs of corresponding angles and one pair of included sides of two triangles are congruent, they are congruent triangles based on the ASA congruence theorem.

We are given the following:

QT ≅ PS [a pair of congruent sides]

∠T ≅ ∠S [a pair of congruent angles]

Thus, since QT is parallel to PS, therefore:

∠SPQ ≅ ∠TQR [alternate interior angles theorem]

Therefore, we can now state that  ΔPQS ≅ ΔQRT based on the ASA congruence theorem.

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Answer:

HOW IS THAT EASY??!?!?!?!?!?

Step-by-step explanation:

The statements and reasons that complete the proof are:

4. ∠SPQ ≅ ∠TQR [alternate interior angles theorem]

5. ΔPQS ≅ ΔQRT [ASA congruence theorem]

What is the ASA Congruence Theorem?

When two pairs of corresponding angles and one pair of included sides of two triangles are congruent, they are congruent triangles based on the ASA congruence theorem.

We are given the following:

QT ≅ PS [a pair of congruent sides]

∠T ≅ ∠S [a pair of congruent angles]

Thus, since QT is parallel to PS, therefore:

∠SPQ ≅ ∠TQR [alternate interior angles theorem]

Therefore, we can now state that  ΔPQS ≅ ΔQRT based on the ASA congruence theorem.

Answer:

y=x+5

Step-by-step explanation:

Option C is correct. When there is no other way to achieve a specific research goal  minimal deception considered ethical in research.

When there is no other way to achieve a specific research goal. Minimal deception is considered ethical in research only when it is necessary to achieve a specific research goal, and there is no other way to achieve that goal without using deception. In these cases, the use of deception should be justified and minimized as much as possible.

Researchers should consider the potential harm to participants, and carefully weigh the potential benefits of the research against any potential harm.

Additionally, the use of deception should be disclosed to participants as soon as possible after the completion of the study, so that they can understand what has occurred and why. Overall, researchers should strive to be transparent and to minimize the use of deception whenever possible, and to use it only when it is necessary to achieve a specific research goal that cannot be accomplished through other means.

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Answer:

Cancel the common factor of 8 and 12x²+6.

Tap for more steps...

4x³/6x²+3

Factor 3

out of 6x²+3.

4x³/3(2x²+1)

Step-by-step explanation:

The rectangular coordinates (in simplest radical form) are (2, -2√3).

To convert polar coordinates (r, θ) into rectangular or Cartesian form (x, y), we can use the following formulas:

x = r * cos(θ)

y = r * sin(θ)

In this case, the polar coordinates are (4, 5π/3). Therefore, we have:

r = 4

θ = 5π/3

Using the formulas, we can calculate the rectangular coordinates as follows:

x = 4 * cos(5π/3)

y = 4 * sin(5π/3)

To evaluate cos(5π/3) and sin(5π/3), we can use the unit circle or trigonometric identities.

In the unit circle, we know that cos(5π/3) = cos(π/3) = 1/2, and sin(5π/3) = -sin(π/3) = -√3/2.

Substituting these values into the formulas:

x = 4 * (1/2) = 2

y = 4 * (-√3/2) = -2√3

Therefore, the rectangular coordinates (in simplest radical form) are (2, -2√3).

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Given question is incomplete, the complete question is below:

Convert the polar coordinates (4, 5π/3) into rectangular form. Express your answer in simplest radical form.

Answer:

B: 113

Step-by-step explanation:

I think you ment 113. a triangle has 180 degrees, the 2 angles add up to 67, subtracted from 180 = 113

The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

Correlation is the mutual connection between two or more variables. These variables can be dependent or independent but there should be random variables.

Autocorrelation is the degree of correlation between the values of the same variables across different data.

Instead of correlation between two different variables, the correlation is between two values of the same variable at times i and i + k.

It is used for the following two purposes:

- To detect non-randomness in data.

- To identify an appropriate time series model if the data are not random.

Therefore, The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

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Answer: C

Step-by-step explanation:

6x-7+3 = 32+3x> 6x - 4 = 32+ 3x > 3x = 36 > x = 12

Answer:

X=121

Step-by-step explanation:

The Sum of interior angles of a pentagon is 540, which means x=121

Answer:

121

Step-by-step explanation:

sum of interior angles

formula : (n-2)x180

5-2 x 180 =. 3 x 180 = 540

540-419 =121

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Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).

To find the area of a sector, we can use the formula:

Area = (θ/360) × π × \(r^2\)

where θ is the central angle in degrees, π is approximately 3.14, and r is the radius.

Given a central angle of 131° and a radius of 7.2 ft, we can plug in these values into the formula to find the area:

Area = (131/360) × 3.14 × (7.2\()^2\)

Calculating this expression:

Area = (0.3639) × 3.14 × (7.2\()^2\)

Area ≈ 28.879 f\(t^2\)

Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).

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Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

Answer:

28...

hope this helps!

Answer:

x = amount of money he spends on peppers

0<x<8

if it's 12 or more dollars than 20-12=8 which can be your greatest number and 0 being the lowest range based on the actual amount spent on onions. make sure to put a line under the inequality signs to show that it can also be equal to the number.

Answer:

Step-by-step explanation:

Both:

1/4 x 1/4

1/16

Neither:

3/4 x 3/4

9/16

There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

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\(\\ \sf\longmapsto \dfrac{7}{x-5}=\dfrac{5}{x+7}\)

\(\\ \sf\longmapsto 7(x+7)=5(x-5)\)

\(\\ \sf\longmapsto 7x+49=5x-25\)

\(\\ \sf\longmapsto 7x-5x=-25-49\)

\(\\ \sf\longmapsto 2x=-74\)

\(\\ \sf\longmapsto x=\dfrac{-74}{2}\)

\(\\ \sf\longmapsto x=-37\)

In other words, write it in exponential form.

To write a as a power of 2, your log form should be written this way: log_2 (5) = a.

We can then then write it in exponential form showing a as a power of 2.

Here it is:

2^(a) = 5

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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From whole number 1 to 25 these are the required probability

P( Prime) = 9/25, P(divisible by 3 but not 2) = 4/25, P(multiple of 5) = 5/25, P(greater than 20) = 5/25 or 1/5, P( multiple of 12 and less than 20) = 1/25

What is the Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Here, from whole number 1 to 25,

Prime number = { 2, 3, 5, 7, 11, 13, 17, 19, 23}

P(Prime) = 9/25

Numbers which are divisible by 3 but not 2 = { 3, 9, 15, 21}

P(divisible by 3 but not 2) = 4/25

Numbers which are multiple of 5 = {5, 10, 15, 20, 25}

P(multiple of 5) = 5/25 = 1/5

Numbers which are greater than 20 = {21, 22, 23, 24, 25}

P(greater than 20) = 5/25 = 1/5

Numbers which are multiple of 12 and less than 20 = {12}

P(multiple of 12 and less than 20) = 1/25

Thus, the required probabilities are:

P( Prime) = 9/25, P(divisible by 3 but not 2) = 4/25, P(multiple of 5) = 5/25, P(greater than 20) = 5/25 or 1/5, P( multiple of 12 and less than 20) = 1/25

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The Finance Charge for the Delgados obtained for an instrument is $1200 to repay the loan in 12 months.

The given data is as follows:

Instrument loan =  $12,000

Loan at APR = 10%

Number of months = 12 Months

The finance charge is calculated by using the formula,

Finance charge = Loan amount x APR x No' of months to repayment / No' of months in a year

Finance charge  = ($12,000 x 10% x 12) / 12

Finance charge = 14400 / 12

Finance charge = $ 1200

Therefore we can conclude that the Finance charge for the Delgados obtained for an instrument is $1200.

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Answer:

45

Step-by-step explanation:

15x3 = 45 ok so theres the answer trust me

Answer:

5/100 , 7/2 ,4/5 321/100,  35/100, 607/1000, 3/2, 52/1

Step-by-step explanation: