Compare f(x) = x2 + 2x + 3 to a function that has a minimum value of 2.
Which statement is TRUE?
A) The minimum value for both functions is 2.
B)
The minimum value for f(x) = x2 + 2% + 3 is greater
than 2.
The minimum value for f(x) = * 24 * 3 is less than
2
D) %) = y2 + 24 + 3 has a maximum value of 2.

Answer:

2/5  or 0.4 pound for 1 can

Step-by-step explanation:

Divide the number of pound by the number of cans to know how much pound per can  2/5 = 0.4

       OR  

5 cans ------------2 pounds

1 can------------------x

Cross multiplication

5x = 2

x= 2/5

The region represented by these equations and inequalities is a combination of planes, cylinders, and a sphere in three-dimensional space. The equation is \(x^{2}\) + \(y^{2}\) + \(z^{2}\) ≤ 4.

Let's break down the different equations and inequalities to describe the regions they represent in \(R^{3}\):

x = 5:

This equation represents a vertical plane parallel to the yz-plane, located at x = 5. It is a plane that extends infinitely along the y and z axes.

y = -2:

This equation represents a horizontal plane parallel to the xz-plane, located at y = -2. It is a plane that extends infinitely along the x and z axes.

y < 8:

This inequality represents a half-space below the plane y = 8. It includes all points where the y-coordinate is less than 8, extending infinitely in the negative y-direction.

z ≥ -1:

This inequality represents a half-space above or on the plane z = -1. It includes all points where the z-coordinate is greater than or equal to -1, extending infinitely in the positive z-direction.

0 ≤ z ≤ 6:

This inequality represents a region between the planes z = 0 and z = 6, including both planes. It includes all points where the z-coordinate is between 0 and 6, extending infinitely along the z-axis.

\(y^{2}\) = 4:

This equation represents a cylinder aligned with the x-axis and centered at the y-axis. It includes all points where the distance from the y-axis to the points in the yz-plane is equal to 2. The cylinder extends infinitely along the y and z axes.

\(x^{2}\) + \(y^{2}\) = 4:

This equation represents a circular cylinder aligned with the z-axis and centered at the origin. It includes all points where the distance from the origin to the points in the xy-plane is equal to 2. The cylinder extends infinitely along the x and y axes.

z = -1:

This equation represents a plane parallel to the xy-plane, located at z = -1. It is a plane that extends infinitely along the x and y axes.

\(x^{2}\) + \(y^{2}\) + \(z^{2}\) ≤ 4:

This inequality represents a sphere centered at the origin with a radius of 2. It includes all points within or on the surface of the sphere.

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Given tannen's perspective on gender differences in communication,  Men far more than women negotiate for higher starting salaries because salary is a sign of status. So, correct option is C.

Based on Tannen's perspective on gender differences in communication, it is likely that you would find that men negotiate for higher starting salaries far more than women because salary is a sign of status.

Tannen argues that men are socialized to use language as a way to establish and maintain their status in society, and negotiating for a higher salary is one way for men to assert their status.

Women, on the other hand, are socialized to use language as a way to build and maintain relationships, and negotiating for a higher salary may be perceived as aggressive or confrontational, which goes against societal expectations for women's communication style.

Therefore, option (c) is the most likely answer.

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Complete question is:

Given tannen's perspective on gender differences in communication, what would you expect to find regarding salary negotiation and gender

answer choices:

a. Women negotiate for higher starting salaries far more than men because they wish to prove their worth

b. Men and women negotiate for higher starting salaries about equally

c. Men far more than women negotiate for higher starting salaries because salary is a sign of status

d. None of the above is true

Answer:

She had 7 eggs when first went into the market

Step-by-step explanation:

Three times multiply 1/2 and minus 1/2 until you get zero.

7 x 1/2 - 1/2 = 3

3 x 1/2 - 1/2 = 1

1 x 1/2 - 1/2 = 0

Answer:

7

Step-by-step explanation:

All the Options (1, 2, 3) are correct i.e., A is always similar to A. and  If A is most similar to B, then we can say B is similar to A. and at last If A is most similar to B and B is also similar to C, then A must be similar to C matrix.

Properties of Similar square Matrices : Similar matrices percentage many residences and it's miles those theorems that justify the selection of the word ``similar.'' First we can display that similarity is an equivalence relation. Equivalence members of the family are essential withinside the have a look at of diverse algebras and might continually be seemed as a sort of susceptible model of equality.

Sort of alike, however now no longer pretty equal. The perception of matrices being row-equal is an instance of an equivalence relation we were operating with on account. Row-equal matrices aren't equal, however they may be lots alike. For instance, row-equal matrices have the identical rank. Formally, an equivalence relation calls for 3 situations hold: reflexive, symmetric and transitive. We will illustrate those as we show that similarity is an equivalence relation.

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The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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Answer:

35 and 24

Step-by-step explanation:

35 + 24 = 59

35 - 24 = 11

Answer:

24 and 35

Step-by-step explanation:

x + y = 59

x - y = 11,    then x = y + 11

substitute for x:

y + 11 + y = 59

simplify:

2y + 11 = 59

subtract 11 from each side of the equation:

2y = 48

divide both sides by 2:

y = 24

x = 35

The cost C of building a house is related to the number k of carpenters used and the number x of electricians

For the given condition,

                                            C(x) = 20000 + 60x²

                                            C'(x) = 120x    

                                            C(16) = 35360

                                            C'(16) = 1920

Increasing and Decreasing function:                                                            

function f(x) is said to be increasing function if,

                                  f'(x) >0 ,for all value of x

function f(x) is said to be decreasing function if,

                                  f'(x) <0 ,for all value of x

              where, f'(x) is derivative of f(x)

Given Equation is,

C = 15,000 + 50k² + 60x²

          where,

                      k = number of carpenter.

                      x = number of electrician.

(a).

      10 carpenters are currently being used.

  that is,

             k = 10

so,

        C = 15000 + 50  * 10² + 60x²

           = 15000 + 50*100 + 60x²

           = 15000 + 5000 + 60x²

           = 20000 + 60x²

thus,

        C(x) = 20000 + 60x²

Now,

         C'(x) = 0 + 60*2x

         C'(x) = 120x

(b).

             As,

                      C'(x) = 120x            

                    C'(16) = 120 * 16

                               = 1920

                    C'(16) = 1920

           As,

                 C(x) = 20000 + 60x²

                C(16) = 20000 + 60 * 16²

                          = 20000 + 60 * 256

                          = 20000 + 15360

                          = 35360

                C(16) = 35360

     We conclude,

                             As the number of electrician increases the average cost also increases.

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The value of x in the shape we have here is given as 18.7 cm

In this question we are to find the value of x using the values that we already have in the shape.

The base of the diagram has its length as 40 cm.

The shape is made up of two right angled triangles.

since the top of the shape is 26 m, the triangles would be gotten by

40 - 26 = 14

14 / 2 = 7cm

each rectangular base is therefore 7 cm

we have to solve for the value of x using the Pythagorean theorem

hence we would have:

7² + x² = 20²

49 + x² = 400

x² = 400 - 49

x² = 351

x = 18.7 cm

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Answer:

iiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

$25,810

Since it says "about", you might need to round...check the directions on your paper. If so, it's "about" $26,000

Step-by-step explanation:

Two ways to solve:

Find 11% of 29,000 and subtract that number from 29,000 or realize that subtracting 11% from the whole number leaves 89%, and multiplying by that.

Convert percentages to decimals by dividing by 100:

29,000 x 0.11 = 3,190

29,000 - 3,190 = 25,810

29,000 x 0.89 = 25,810

Use whichever method hurts your brain less. :) My brain used to hate these problems.

Answer:

D

Step-by-step explanation: the answer is d because the other half without the equations is = to 180 which is a semi circle. This means that the other half must be 180 too because a circle is 360. I did trial and error and plugged in all the numbers.

Hope I could help!

Answer:

option D .35

Step-by-step explanation:

2x+3x+5=180 linear pair

5x=180-5

x=175/5=35

Answer:

18

Step-by-step explanation:

If they are 18 teachers on the field trip the ratio would be 18 : 81. this in the simplest form is 2 : 9

y =\((x/2)^2 + 1 or y = (x/2)^2 + 1\)

The curve represents a parabola opening upwards. It is symmetric about the y-axis.

Let's eliminate the parameter t and sketch the curves for each exercise:

1. x = t^2 + 2t, y = t + 1

To eliminate the parameter t, we can solve the first equation for t and substitute it into the second equation:

t^2 + 2t = x

t = -1 ± √(x + 1)

Substituting the expression for t into the equation y = t + 1, we get:

y = (-1 ± √(x + 1)) + 1

y = -√(x + 1) or y = √(x + 1)

The curve represents two branches of a parabola opening upwards. It is symmetric about the y-axis.

2. x = cos(t), y = sin(t), (0, 2π]

Eliminating the parameter t, we obtain:

\(x^2 + y^2 = cos^2(t) + sin^2(t) \\= 1\)

The curve represents a circle centered at the origin with a radius of 1. It covers a full revolution (360 degrees or 2π) in the counterclockwise direction.

3. x = 2t + 4, y = t - 1

By eliminating the parameter t, we have:

t = (x - 4) / 2

Substituting this expression into the equation for y, we get:

y = ((x - 4) / 2) - 1

y = (x - 6) / 2

The curve represents a line with a slope of 1/2 and a y-intercept of -3. It is inclined upwards from left to right.

4. x = 3 - t, y = 2t - 3, 1.5 ≤ t ≤ 3

Eliminating the parameter t, we have:

t = 3 - x

Substituting this expression into the equation for y, we get:

y = 2(3 - x) - 3

y = 6 - 2x - 3

y = -2x + 3

The curve represents a line with a slope of -2 and a y-intercept of 3. It is inclined downwards from left to right.

\(5. x = 2t^2, y = t^4 + 1\)

To eliminate the parameter t, we can solve the first equation for t and substitute it into the second equation:

t^2 = x/2

t = ±√(x/2)

Substituting the expressions for t into the equation y = t^4 + 1, we get:

y = (√(\(x/2))^4\) + 1 or y = (-√\((x/2))^4\) + 1

\(y = (x/2)^2 + 1 or y = (x/2)^2 + 1\)

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Answer:

Step-by-step explanation:

Answer:

Only the second equation is an identity

Step-by-step explanation:

1)

\(1+\dfrac{\cos^2\theta}{\cot^2\theta(1-\sin^2\theta)}= \\\\\\1+\dfrac{\cos^2\theta}{\cot^2\theta(\cos^2\theta)}= \\\\\\1+\dfrac{1}{\cot^2 \theta}= \\\\\\1+\tan^2\theta=\sec^2\theta\neq 2\sec^2 \theta\)

This one is not an identity.

2)

\(19\cos \theta\left( \dfrac{1}{\cos \theta}-\dfrac{\tan \theta}{\csc \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1}{\cos \theta}-\dfrac{\sin^2 \theta}{\cos \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1-\sin^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta \left( \dfrac{\cos^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta (\cos \theta)= \\\\\\19\cos^2 \theta = 19\cos^2 \theta\)

This one is an identity. Therefore, only the second equation is an identity. Hope this helps!

Answer:

the person above me is right :)

Step-by-step explanation:

substituting the value of x and y in the eqn,

3×-2 - ( 4×-2 + 6×3 )

-6 - (-8 + 18 )

-6 - 10

■ -16

From the rigid transformation that takes ABC to EDF, the coinciding parts based on congruency; are matched below.

When we say two triangles are congruent to each other, it means that the corresponding sides and corresponding angles of both triangles are equal.

Thus, if triangle ABC is congruent to triangle EDF, then we can say that;

Angle A ≅ Angle E

Angle B ≅ Angle D

Angle C ≅ Angle F

Segment AB ≅ Segment ED

Segment AC ≅ Segment EF

Segment BC ≅ Segment DF

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Step-by-step explanation:

y = 200  - 3 *x  has slope = -3   this is downward sloping from L to R

Answer:downward sloping

Step-by-step explanation:

negative slope

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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The electric force experienced by a charge Q1 due to the presence of another charge Q2 located at a distance r from Q1 is given by the Coulomb’s Law as:

F = (1/4πε0) (Q1Q2/r²)

where ε0 is the permittivity of free space and is equal to 8.854 x 10⁻¹² C²/Nm²

Given : Charge Q1 = 4 uCCharge Q2 = 8 uC - (-8 uC) = 16 uC

Distance between Q1 and Q2 = (6² + 2²)¹/²

= (40)¹/² cm

= 6.3246 cm

Substituting the given values in the Coulomb’s Law equation : F = (1/4πε0) (Q1Q2/r²)

F = (1/4π x 8.98755 x 10⁹ Nm²/C²) (4 x 10⁻⁶ C x 16 x 10⁻⁶ C)/(6.3246 x 10⁻² m)²

F = 6.21 x 10⁻⁵ N

Answer: The force experienced by a charge of 4 uC on the x-axis at x = 6 cm is 6.21 x 10⁻⁵ N.

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The lengths of a triangle must satisfy the triangle inequality which states that the sum of any two sides must be greater than the third side.

For option A:

5 + 9 = 14, which satisfies the triangle inequality. However, 5 + 14 = 19, which is not greater than 9. Therefore, this set of numbers does not satisfy the triangle inequality.

For option B:

7 + 7 = 14, which is less than 15. Therefore, this set of numbers does not satisfy the triangle inequality.

For option C:

1 + 2 = 3, which satisfies the triangle inequality. However, 1 + 4 = 5, which is not greater than 2. Therefore, this set of numbers does not satisfy the triangle inequality.

For option D:

3 + 6 = 9, which satisfies the triangle inequality. 3 + 8 = 11 and 6 + 8 = 14, both of which are greater than 8. Therefore, this set of numbers satisfies the triangle inequality.

So, the numbers 3, 6, and 8 could represent the lengths of a triangle. Therefore, the answer is option D.

Answer:

A and D

Step-by-step explanation:

you would have to test each option using the triangle inequality theorem

which is when the sum of any two sides of the triangle are greater than or equal to the third side

A)  5+9 \(\geq\) 14  true

     5+14 \(\geq\) 9  true

     14+9 \(\geq\) 5  true

B)  7+7 \(\geq\) 15  false    This answer can be eliminated

C)  1+2 \(\geq\) 4    false     This answer can be eliminated

D)  3+6 \(\geq\) 9  true

     3+8 \(\geq\) 6   true

     6+9 \(\geq\) 3   true      

\(\pink{\sf Third \: side \: of \: the \: triangle = 45}\)

As, the given triangle is a right angled triangle,

Hence, We can use the Pythagoras' Theorem,

\(\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}\)

Here,

In given triangle,

Now, by Pythagoras' theorem,

\(\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}\)

\( \sf : \implies (51)^{2} = (24)^{2} + P^{2}\)

\( \sf : \implies 51 \times 51 = 24 \times 24 + P^{2} \)

\( \sf : \implies 2601 = 576 + P^{2}\)

\( \sf : \implies P^{2} = 2601 - 576\)

\( \sf : \implies P^{2} = 2025\)

By squaring both sides :

\( \sf \sqrt{P^{2}} = \sqrt{2025}\)

\( \sf : \implies P^{2} = \sqrt{2025}\)

\( \sf : \implies P^{2} = \sqrt{(45)^{2}}\)

\( \sf : \implies P^{2} = 45 \)

\(\pink{\sf \therefore \: Third \: side \: of \: the \: triangle \: is \: 45}\)

━━━━━━━━━━━━━━━━━━━━━

4a) The null hypothesis is that there is no difference in math performance between learning while listening to classical music and learning without music.
4b) The research/alternative hypothesis based on the researcher's hypothesis is that learning while listening to classical music improves math performance.
4c) The mean math performance when music played was 15.5, and when no music played was 17.9. The calculated t statistic was -4.60, and the p-value associated with the test statistic was < .001.
4d) The p-value associated with this result is less than .05.
4e) Based on the p-value, we reject the null hypothesis.
4f) The result is statistically significant.
4g) Based on this information alone, it is not safe to conclude that students perform better when listening to music while learning. Other factors could have influenced the results, such as individual differences in the students or other environmental factors. Further research would be necessary to make a definitive conclusion.
4a.) The null hypothesis states that there is no significant difference in math performance between the two conditions (learning with classical music and learning without music).

4b.) The research/alternative hypothesis states that learning while listening to classical music improves performance in math compared to learning without music.

4c.)
- Mean math performance when music played: 15.5
- Mean math performance when no music played: 17.9
- Calculated t statistic: -4.60
- P-value associated with the test statistic: < 0.001

4d.) The p-value associated with this result is less than 0.05.

4e.) Based on the p-value, we reject the null hypothesis.

4f.) The result is statistically significant.

4g.) While the result is statistically significant, it actually shows that students performed better when not listening to music while learning. This contradicts the researcher's initial hypothesis, so it is not safe to conclude that students perform better when listening to music while learning.

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Answer:

EZ

Step-by-step explanation:

A. 15 Percent

B. 40 Percent

Answer:

A) 15% B) 40%

Step-by-step explanation:

Answer:

-8x^2+6x

Step-by-step explanation:

2x(2x−6x+3)

=(2x)(2x+−6x+3)

=(2x)(2x)+(2x)(−6x)+(2x)(3)

=4x2−12x2+6x

=−8x2+6x

Answer:

Your correct answer is 2(x2−6x+3)

Step-by-step explanation:

This is the simplified version.

Answer:

7.64

Step-by-step explanation:

use tangent (opposite over adjacent)

tan27=x/15

multiply both sides by 15 to isolate the x

15tan27=x

use a calculator

answer = 7.64

Answer:

£39.20

Step-by-step explanation:

2+1+5=8

£78.40/8 = 9.8

9.8*5= 49

49-9.8= 39.2

Answer:

30000 milliliters

0.03 liters

Step-by-step explanation:

The volume of the box is 2.5 x 3.0 x 4.0 = 30 cc

There are 1000 ml in 1 cc so 30cc = 30 x 1000 = 30000 ml

There are 1000 cc in 1 liter so 30 cc = 30/1000 = 0.03 liters

The volume of the box is 30 mL or 0.03 L.

Volume is a metric magnitude that is defined as the extension in three dimensions of a region of space. Volume is defined as the amount of space occupied by the object or figure in three-dimensional space. Volume is measured in cubic units.

The volume of this prism depends on its three dimensions and is calculated as the multiplication of these dimensions,

Volume= Dimension 1× Dimension 2× Dimension 3

The volume of the box = 2.5 x 3.0 x 4.0 = 30 cc

There are 1000 ml in 1 cc so 30cc = 30 x 1000 = 30000 ml

There are 1000 cc in 1 liter so 30 cc = 30/1000 = 0.03 liters

Hence, the volume of the box is 30 mL or 0.03 L.

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Hi student, let me help you out! :)

..............................................................................................................................................

We are asked to find the equation of the line, using the given information:

\(\star~\mathrm{-3}\), which is the slope

\(\star~\mathrm{(1,2)}\) which is a point that the line contains

\(\triangle~\fbox{\bf{KEY:}}\)

Since "m" is the slope, and we're given what the slope is, we can substitute -3 for m:

\(\dag~\mathtt{y=-3x+b}\)

|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||

Now, we need to find the y intercept, "b", of the line.

Here's how it's done:

Remember the point that the line contains, (1,2)?

Well, its y-coordinate is 2; so what we do is substitute 2 for y:

\(\dag~\mathtt{2=-3x+b}\)

Also, its x-coordinate is 1, so we substitute 1 for x:

\(\dag~\mathtt{2=-3(1)+b}\)

Now, solve for b:

\(\dag~\mathtt{2=-3+b}\)

Add 3 to both sides:

\(\dag~\mathtt{2+3=b}\)

Thus, we have

\(\dag~\mathtt{5=b}\)

Thus, the equation of the line is:

\(\bigstar\underline{\boxed{\mathtt{y=-3x+5}}}\)

Hope it helps you out! :D

Ask in comments if any queries arise.

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