The expression (3x2 + 2xy + 7) − (6x2 − 4xy + 3) is Equivalent to −3x2 − 2xy + 4 3x2 − 2xy + 4 −3x2 + 6xy + 4 3x2 − 6xy − 4

Answer:

25

Step-by-step explanation:

\(5x^{2} - 2 ( y + 1)+9 = 5*2^{2} - 2(1 + 1) + 9 = 5 *4 - 4 +9 = 20 - 4 + 9 = 20 + 5 =25\)

Answer:

0.3425

multiply the 13.7 by 2 1/2%.

now, we have 34.25.

Divide the 34.25 by 100, and that's your answer.

Answer: Angle 2 and Angle 8

:)

Step-by-step explanation:

Answer:

2 and 8

Step-by-step explanation:

Problem

Write the rational number as A/B in simplest form 0.34​

Solution

For this case we can do the following:

And if we simplify we got:

If Angle A ≅ Angle T, then the triangles would be congruent by ASA

If Angle B ≅ Angle P, then the triangles would be congruent by AAS.

We are told that;

Sides AC and TQ are congruent.

Angles BCA and  PQT are congruent.

Thus, we can say that;

Side AC and side TQ are congruent.

Angle BCA and angle PQT are congruent too.

Since angle A and angle T are congruent, it means the congruency theorem used will be ASA(Angle - Side - Angle) Theorem.

Lastly, if angle B were to be congruent to angle P,  it means the congruency theorem used will be AAS(Angle - Angle - Side) Theorem.

The missing options are;

A) If AngleA ≅ AngleT, then the triangles would be congruent by ASA.

B) If AngleB ≅ AngleP, then the triangles would be congruent by AAS.

C) If all the angles are acute, then the triangles would be congruent.

D) If AngleC and AngleQ are right angles, then triangles would be congruent.

E) If BC ≅ PQ, then the triangles would be congruent by ASA.

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Answer:

Domain and Range both All Real Numbers

The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

Given lines of equations:

x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.

Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.

Let `t=2`, then the point on the line is

\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T

herefore, direction vector `

\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)

For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)

Let the angle between the direction vectors `v1` and `v2` be `θ`.

Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.

Thus, we have:

(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ

=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)

Therefore,

`θ = cos⁻¹(8/(4√10))`

which is approximately `28.07°`.

Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

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Answer:

MYSTREET AND MY INNER DEMONS YES

Step-by-step explanation:

watch them

The critical value for an 80% confidence interval is 1.28.

To find the critical value for constructing an 80% confidence interval for the difference in two proportions, we need to use the z-table.

Step 1: Find the critical value.

Since we want an 80% confidence interval, the remaining area (1 - 0.80 = 0.20) is divided equally into the two tails. Each tail has an area of 0.10. To find the critical value, we look for the z-score that corresponds to an area of 0.10 in the standard normal distribution table.

Using the z-table or a calculator, we find that the z-score for an area of 0.10 (one tail) is approximately 1.28.

Therefore, the critical value for an 80% confidence interval is 1.28.

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Answer:  11/3 or 3.6 or 3 2/3

Step-by-step explanation:

All you have to do is simplify the expression

True, parabola consists of all the set of points that are equidistant from the fixed point and the fixed line.

As given in the question,

Given statement is: Parabola consist of set of all the points which are equidistant from fixed point and fixed line.

Therefore, parabola consists of all the set of points that are equidistant from the fixed point and the fixed line is a true statement.

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Answer:

The missing answer is x=10

Step-by-step explanation:

\(x = \sqrt{ {8 }^{2} + 6 {}^{2} } \\ x = \sqrt{64 + 36} \\ x = \sqrt{100} \\ x = 10\)

Answers:

====================================================

Explanation:

These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

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Answer:

B

Step-by-step explanation:

Fip numbers and change both signs when reflecting over y=-x

Answer:

C

Step-by-step explanation:

The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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The solution  of the given  two positive consecutive even integers will be  a = 20 and b = 21

An integer is a number whose values are ranges from 0 to infinite positive and zero to infinite negative.

Given that :

2a-3b = -23

a and b are consecutive

Find:

a and b

Computation:

a = b - 1

So,

2a-3b = -23

2(b-1)-3b = -23

2b - 2 - 3b = -23

-b = -21

b = 21

So

a = b - 1

a = 21-1

a = 20

Hence the solution  of the given  two positive consecutive even integers will be  a = 20 and b = 21

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Answer:

Step-by-step explanation:

See image

Answer:

(0,4)

Step-by-step explanation:

this is highest and only Y intercept. the range of a graph is all of the Y intercepts. and the domain of a graph is all of the x-intercepts

Answer:

$110.2

Step-by-step explanation:

$76 × 45%

$34.2

$76 + $34.2

$110.2

The student C raised the least amount of money after walking 7 miles .

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

A mathematical sentence with an equals sign is referred to as an equation. It informs us that two expressions that represent the same number or have the same meaning are equivalent. Constants and variables can both be found in an equation. Equations allow us to quickly solve problems and express math facts in condensed, easy-to-remember forms.

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Answer:

d≈91.63m

Step-by-step explanation:

d=w2+l2=78.92+46.62≈91.63389m

The variable that can be used to represent the number of points scored before is x and the algebraic expression is (3x - 2).

Algebra refers to the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

let

3 times the number of points scored before

= 3 × x

= 3x

two points fewer than 3 times the number of points scored before

= 3x - 2

Other examples of algebraic expression are:

2t - 5 + 3t

65x + y - 8y + 5x

In conclusion, the expression can be written in algebra form as 3x - 2

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Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

a. the capital formation from the end of the second year to the end of the sixth year is approximately $2430.83. b. it would take approximately 8.10 years for the capital stock to exceed $200,000.

a) The capital formation from the end of the second year to the end of the sixth year can be calculated by integrating the rate of net investment flow function, i(t), over the given time period.

To calculate the capital formation, we integrate i(t) from t = 2 to t = 6:

∫(2 to 6) 200e^(0.2t) dt

To integrate this function, we can use the power rule of integration for exponential functions:

∫e^kt dt = (1/k)e^kt + C

Applying the power rule, we can integrate i(t) as follows:

∫(2 to 6) 200e^(0.2t) dt = (1/0.2) * 200 * e^(0.2t) | (2 to 6)

Simplifying further:

(1/0.2) * 200 * e^(0.2 * 6) - (1/0.2) * 200 * e^(0.2 * 2)

Calculating the exponential values:

(1/0.2) * 200 * e^(1.2) - (1/0.2) * 200 * e^(0.4)

Simplifying:

1000 * e^(1.2) - 1000 * e^(0.4)

Using a calculator, we find that the capital formation from the end of the second year to the end of the sixth year is approximately **$2430.83**.

b) To determine the number of years required before the capital stock exceeds $200,000, we need to set up an equation and solve for t.

Given that the capital stock is the accumulation of net investment flow, we can set up the following equation:

∫(0 to t) 200e^(0.2x) dx > 200,000

To solve this equation, we integrate i(t) over the given time period and set it greater than 200,000:

∫(0 to t) 200e^(0.2x) dx > 200,000

Applying the power rule and integrating:

(1/0.2) * 200 * e^(0.2x) | (0 to t) > 200,000

Simplifying further:

1000 * e^(0.2t) - 1000 > 200,000

1000 * e^(0.2t) > 201,000

Now, we solve for t by isolating the exponential term:

e^(0.2t) > 201

Taking the natural logarithm (ln) of both sides to remove the exponential:

0.2t > ln(201)

Solving for t:

t > ln(201) / 0.2

Using a calculator, we find that t is approximately **8.10 years**.

Therefore, it would take approximately 8.10 years for the capital stock to exceed $200,000.

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Answer:

one solution

Step-by-step explanation:

3x-1=3

Add 1 to each side

3x-1+1=3+1

3x = 4

Divide by 3

3x/3 = 4/3

x = 4/3

There is one solution

Answer:

One solution

Step-by-step explanation:

3x=4

x=4/3

no other answer