The slope of the tangent line to the parabola y=2x^2+5x+6 at the point (−2,4) is: The equation of this tangent line can be written in the form y=mx+b where m is: and where b is:

Answer:

The people in my life are academically supportive because they motivate me to do my work.

Something like that.

Answer:

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Interval Notation: (- ∞, -1/2]

The line starts from -1/2 with the arrow going to the left (decreasing). The endpoint or value from where it started, which is -1/2, should be shaded.  The inequality symbol x ≤ -1/2 represents the values at most or maximum -1/2.

Step-by-step explanation:

The number line representing the solution set for the inequality given is option C.

The inequality is 2x - 6 ≥ 6(x-2) + 8,

Solving for x,

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Therefore, the Interval Notation is (- ∞, -1/2]

This means that the all the values of x will be less than -1/2 or equal to it,

Therefore, the graph will be, the line starts from -1/2 with the arrow going to the left (decreasing).

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Step-by-step explanation:

Angles A and B are Alternate Exterior angles, therefore they are congruent.

=> 8x + 6° = 4x + 38°

=> 4x = 32°, x = 8°

Hence Angle B = 4(8°) + 38° = 70°.

Answer:

55cm

Step-by-step explanation:

If there height ratio is 8:11 and Yasir is 15cm taller then 11-8=3 or 15cm

If 3 is 15cm then 1 is 5cm and if 1 is 5cm then Yasir is 5 times 11 = 55cm tall

Answer:

The improper fraction of the shaded parts is 7/6.

Step-by-step explanation:

1 1/6 = 1/6 + 1/6 + 1/6+ 1/6 + 1/6 + 1/6 + 1/6 = 7/6

Answer:

1 1/6=1/6+1/6+1/6+1/6+1/6+1/6+1/6

Answer:

No

Step-by-step explanation:

If we transform \(\triangle ABC\) to \(\triangle A'B'C\), the rule applied is \((x,y) \to (2x,2y -14)\)

Answer:

The Slope is 2

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainiest!

Answer:

Answer:36 cm^2

Hope you could understand.

If you have any query, feel free to ask.

Answer:

First one

Step-by-step explanation:

If you simplify the first answer, the numbers in the answer will not repeat

Answer:

i think the answer is D ) 56x^2

Option C is the correct answer.

The given expression is \((14x^{3}y^{-4} )(4x^{-5}y^{4} )\).

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Now, \((14x^{3}y^{-4} )(4x^{-5}y^{4} )=56x^{3-5}y^{-4+4}\)

\(=56x^{-2} =\frac{56}{x^2}\)

Therefore, option C is the correct answer.

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Answer:

20

Step-by-step explanation:

h (x) = - 2x + 12

h (-4) = - 2(-4) + 12

        = 8 + 12

h (-4) = 20

Answer:

b

Step-by-step explanation:

Answer: -3/2

Good luck

Answer:

$20,240

Step-by-step explanation:

Multiply 22,000 by 0.92% since if you subtract 0.08 which is equivalent to 8% from 1, you would need that percentage to get to your final answer which is $20,240.

Another option is to do the same thing except multiply 22,000 by 0.08% in which $1,760 is being cut off as it decreases.  Subtract that number from $22,000 to get the same answer mentioned earlier.

Answer:

$20,240

Step-by-step explanation:

This is a simple interest formula.

$22,000*(8%/100%) = $1760

$22,000-$1760 = $20,240

By reversing the order of integration, the given integral ∫30∫3ysin\((x^2)\) dxdy becomes ∫\(03∫0√(30y) sin(x^2) dydx.\)

When reversing the order of integration, we first consider the limits of integration for the new integral.

The original limits for y are from 0 to 3, and the limits for x are from 0 to √(30y). Therefore, the new limits for y are from 0 to 3, and the new limits for x are from 0 to √(30y).

Next, we rearrange the integral to integrate with respect to y first. We integrate sin(\(x^2)\)with respect to x while treating y as a constant. The antiderivative of sin\((x^2)\)does not have a closed-form expression, so we leave it as is.

Finally, we integrate the result from the first integration with respect to y, using the limits 0 to 3. This will give us the final value of the integral.

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The probability that the result of both rolls of the die is 1/9

Probability is a numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. For example if a coin is thrown, the possibilities are to get a head or a tail. This means the total possible outcome is 2.

For the die rolled twice. A die has six faces, rolling twice will give 6x6=36 possible outcome

The probability for an event to occur = sample space/ total possible outcome

To get 5 as result for the two rolls is either 2,3or 3,2or 1,4or 4,1. Which means the sample space is 4

P(5)= 4/36

= 1/9

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The margin of error is 3.083 min

Margin of Error: The margin of error is the range of error permitted around the sample statistic in order to estimate the population parameter. The margin of error indicates the size of the confidence interval. The breadth of the confidence interval increases with the margin of error.

Sample size, n=24

Sample mean, ¯x=31.5 min

Sample standard deviation, s=7.3 min

Confidence level, c=95%

=0.95

From the given information we can calculate the below-required quantities,

Significance level, α=1−c=1−0.95=0.05

Degrees of freedom, DOF=n−1

=24−1

=23

Now from the t-distribution table,

The value of t (α2, DOF) is,

t (0.025,23) = 2.069  

Hence the margin of error will be,

MOE= t (α2, DOF) × s/√ n

=2.069×7.3/√24

=3.083 min

i. The upper limit of the confidence interval will be,

UL=¯x + MOE=31.5+3.083=34.583

The lower limit of the confidence interval will be,

LL=¯x−MOE

=31.5−3.083

=28.417

Hence, the 95% confidence interval is (28.417,34.583)

(28.417,34.583)

The answer is 28.417,34.583

ii. The required answer is MOE=3.083 min

ii. We have found the 95% confidence interval for the population mean to be (28.417,34.583). This means with 95 % confidence; it can be said that the population mean commute time is between the bounds of the confidence interval.

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The equation's answer is x = 7.5. 4x - 1 2 = x + 7.

x = 1 is the answer to the problem 3x + 2 = (2x + 13) 3.

a) To solve the equation 4x - 1 ÷ 2 = x + 7, we need to isolate the variable x. Let's follow the steps:

1: Distribute the division operation to the terms inside the parentheses.

  (4x - 1) ÷ 2 = x + 7

2: Divide both sides of the equation by 2 to isolate (4x - 1) on the left side.

  (4x - 1) ÷ 2 = x + 7

  4x - 1 = 2(x + 7)

3: Distribute 2 to terms inside the parentheses.

  4x - 1 = 2x + 14

4: Subtract 2x from both sides of the equation to isolate the x term on one side.

  4x - 1 - 2x = 2x + 14 - 2x

  2x - 1 = 14

5: Add 1 to both sides of the equation to isolate the x term.

  2x - 1 + 1 = 14 + 1

  2x = 15

6: Divide both sides of the equation by 2 to solve for x.

  (2x) ÷ 2 = 15 ÷ 2

  x = 7.5

Therefore, x = 7.5 is the solution to the equation 4x - 1 ÷ 2 = x + 7. However, note that this answer is not an integer, so it may not be valid for certain contexts.

b) To solve the equation 3x + 2 = (2x + 13) ÷ 3, we can follow these steps:

1: Distribute the division operation to the terms inside the parentheses.

  3x + 2 = (2x + 13) ÷ 3

2: Multiply both sides of the equation by 3 to remove the division operation.

  3(3x + 2) = 3((2x + 13) ÷ 3)

  9x + 6 = 2x + 13

3: Subtract 2x from both sides of the equation to isolate the x term.

  9x + 6 - 2x = 2x + 13 - 2x

  7x + 6 = 13

4: Subtract 6 from both sides of the equation.

  7x + 6 - 6 = 13 - 6

  7x = 7

5: Divide both sides of the equation by 7 to solve for x.

  (7x) ÷ 7 = 7 ÷ 7

  x = 1

Hence, x = 1 is the solution to the equation 3x + 2 = (2x + 13) ÷ 3.

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Answer:

I think it´s 8 1/2 minutes not sure tho plz mark brainliest:) Hope this helps

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

Given that angle Y = 90 means that the triangle is a right angle triangle

If angle X = 30 degrees and xz =18 cm

xz is the hypotenuse side while zy is the opposite side considering the angle at X

Hence using the notation SOH CAH TOA

SOH

Sin X = zy/xz

Substituting

Sin 30 = zy/18

cross multiply

zy = 18 sin 30

zy = 18 * 0.5

= 9 cm

Answer:

9 cm

Step-by-step explanation:

Hope this helps

The table layout and relationship structure of a relational database is called its schema.

A schema in a relational database refers to the overall structure and organization of tables, their attributes (columns), and the relationships between them. It defines the blueprint for how the data is organized and stored in the database.

The schema includes information such as the table names, column names, data types, constraints, and the relationships established through keys (such as primary keys and foreign keys). It provides a logical representation of the database structure and helps ensure data integrity and consistency.

The schema serves as a guide for creating, modifying, and querying the database tables. It defines the structure that enforces rules and relationships between tables, facilitating data manipulation and retrieval.

By designing a well-defined schema, database administrators and developers can establish the foundation for efficient data storage, retrieval, and management within a relational database system.

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Answer:

f(5) = 60

Step-by-step explanation:

f(x) = 2x² - 10

f(5) = 2(5)² - 10

= 2(25) -10

= 50 - 10 = 60

Answer:

B.

\( \frac{275\pi}{6} {m}^{2} \)

Step-by-step explanation:

\(area \: of \: sector \: is \\ \frac{the \: angle}{360} \times \pi {r}^{2} \\ hence \: we \: have \\ \frac{165}{360} \times {(10m)}^{2} = \frac{275\pi}{6} {m}^{2} \)

The polynomial function in expanded form is f(x) = x² - 3x² + 4x - 2.

A polynomial function with rational coefficients that has the given numbers as zeros, considering their conjugates . Since 1+i is a zero, its conjugate 1-i must also be a zero.

Using the zero-product property,  that if a polynomial has a zero at a given number, then the polynomial must have a factor of (x - zero). Therefore, the polynomial function with the given zeros can be written as:

f(x) = (x - (1+i))(x - (1-i))(x - 1)

Expanding this expression,

f(x) = ((x - 1) - i)((x - 1) + i)(x - 1)

= ((x - 1)² - i²)(x - 1)

= ((x - 1)² + 1)(x - 1)

= (x² - 2x + 1 + 1)(x - 1)

= (x² - 2x + 2)(x - 1)

= x² - 2x² + 2x - x² + 2x - 2

= x² - 3x²+ 4x - 2

.

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Answer:

Step-by-step explanation:

40-j=8

Let's say that the cost of each postcard is "p".

We can write the equation as follows:

7p + 15.89 = 19.32

If we solve for "p", we get:

7p = 19.32 - 15.89

p = 3.43 / 7

p = $<<3.43/7=0.49>>0.49

Therefore, each postcard costs $0.49.

Answer:

Francesca

Step-by-step explanation:

The only solution to c₁v₁ + c₂v₂ + ... + cₘvₘ = 0 is c₁ = c₂ = ... = cₘ = 0. The list of vectors {v₁, v₂, ..., vₘ} is linearly independent.

To prove that the list of vectors {v₁, v₂, ..., vₘ} is linearly independent, we need to show that the only solution to the equation c₁v₁ + c₂v₂ + ... + cₘvₘ = 0 is c₁ = c₂ = ... = cₘ = 0, where c₁, c₂, ..., cₘ are scalars.

Suppose there exist scalars c₁, c₂, ..., cₘ, not all zero, such that c₁v₁ + c₂v₂ + ... + cₘvₘ = 0.

Since TE is a linear transformation from V to W, we can apply TE to both sides of the equation:

TE(c₁v₁ + c₂v₂ + ... + cₘvₘ) = TE(0)

Using the linearity of TE, this simplifies to:

c₁TE(v₁) + c₂TE(v₂) + ... + cₘTE(vₘ) = 0

Now, let's consider the vectors TE(v₁), TE(v₂), ..., TE(vₘ) in W. Since T₁, T₂, ..., Tₘ is a linearly independent list in W, the only solution to the equation d₁T₁ + d₂T₂ + ... + dₘTₘ = 0 (where d₁, d₂, ..., dₘ are scalars) is

d₁ = d₂ = ... = dₘ = 0.

However, we have c₁TE(v₁) + c₂TE(v₂) + ... + cₘTE(vₘ) = 0, which is of the same form as the equation above. This means that d₁ = c₁, d₂ = c₂, ..., dₘ = cₘ must all be zero.

But this contradicts our assumption that not all the scalars c₁, c₂, ..., cₘ are zero. Therefore, the only solution to c₁v₁ + c₂v₂ + ... + cₘvₘ = 0 is c₁ = c₂ = ... = cₘ = 0.

Hence, the list of vectors {v₁, v₂, ..., vₘ} is linearly independent, as desired.

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The only solution to c₁v₁ + c₂v₂ + ... + cₘvₘ = 0 is c₁ = c₂ = ... = cₘ = 0. The list of vectors {v₁, v₂, ..., vₘ} is linearly independent.

To prove that the list of vectors {v₁, v₂, ..., vₘ} is linearly independent, we need to show that the only solution to the equation c₁v₁ + c₂v₂ + ... + cₘvₘ = 0 is c₁ = c₂ = ... = cₘ = 0, where c₁, c₂, ..., cₘ are scalars.

Suppose there exist scalars c₁, c₂, ..., cₘ, not all zero, such that c₁v₁ + c₂v₂ + ... + cₘvₘ = 0.

Since TE is a linear transformation from V to W, we can apply TE to both sides of the equation:

TE(c₁v₁ + c₂v₂ + ... + cₘvₘ) = TE(0)

Using the linearity of TE, this simplifies to:

c₁TE(v₁) + c₂TE(v₂) + ... + cₘTE(vₘ) = 0

Now, let's consider the vectors TE(v₁), TE(v₂), ..., TE(vₘ) in W. Since T₁, T₂, ..., Tₘ is a linearly independent list in W, the only solution to the equation d₁T₁ + d₂T₂ + ... + dₘTₘ = 0 (where d₁, d₂, ..., dₘ are scalars) is

d₁ = d₂ = ... = dₘ = 0.

However, we have c₁TE(v₁) + c₂TE(v₂) + ... + cₘTE(vₘ) = 0, which is of the same form as the equation above. This means that d₁ = c₁, d₂ = c₂, ..., dₘ = cₘ must all be zero.

But this contradicts our assumption that not all the scalars c₁, c₂, ..., cₘ are zero. Therefore, the only solution to c₁v₁ + c₂v₂ + ... + cₘvₘ = 0 is c₁ = c₂ = ... = cₘ = 0.

Hence, the list of vectors {v₁, v₂, ..., vₘ} is linearly independent, as desired.

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Answer:

\((5-2c^{2}) c^{3}\)

Step-by-step explanation:

Factor out \(c^{3}\)

\((5-2c^{2})\) is not factored since it does not have any rational roots.