please help. its very easy

[tex]\bf \begin{array}{lcrrrrr} 2x-5y=11&\stackrel{\stackrel{\textit{\large first step}}{\downarrow }}{\times -3}\implies &-6x&+&15y&=&-33\\ 3x+2y=7&\times 2\implies &6x&+&4y&=&14\\\cline{3-7} &&0&+&19y&=&-19 \end{array} \\\\\\ y = \cfrac{-19}{19}\implies \boxed{y=-1} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{2x-5(-1)=11\implies 2x+5=11}\implies 2x=6\implies x = \cfrac{6}{2}\implies \boxed{x = 3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (3~~,~~-1)~\hfill[/tex]

The question refers to numerical approximation methods used for integration: the Trapezoidal, Midpoint, and Simpson's Rules. Answers for specific n-values and error calculations require a calculator or programming tool and are not provided here. The processes, however, involve application of respective formulae and comparison of approximations against the desired accuracy level.

Solution:

The question is related to approximating the value of an integral using numerical methods, specifically using the Trapezoidal Rule (Tn), Midpoint Rule (Mn), and Simpson's Rule (Sn). Additionally, it asks about the corresponding estimation errors which are defined as differences between the true integral value and the approximations.

Part (a)

To find T10, M10, and S10 for ∫₀π (21 sin x) dx, we would use respective formulae. Unfortunately, without a calculator or computational tool, it's not practical to perform these calculations here in this answer.

Part (b)

The actual errors ET, EM, and ES compare to the theoretical error bounds given by the respective theorems for each rule. Again, without the approximated values from part (a), we cannot calculate these errors.

Part (c)

Choosing n so that the approximations are accurate to within 0.00001 is a trial and error process where you start with n and continue to increase it until the approximation is within the desired accuracy. This typically requires use of a computational tool or programming.

Please note, these answers can vary depending on the specific constants and functions used in the integration.

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Answer:

The correct table is A.

Correct statement and question:

Sarah sells beaded necklaces she makes a profit of $4 on every necklace she sells which table represents the profit Sarah makes.

A.

Necklaces Sold Profit $

 4                           16

 6                           24

 8                           32

10                          40

B.  

Necklaces Sold Profit $

 4                           8

 6                           10

 8                           12

10                          14

C.

Necklaces Sold Profit $

 4                           4

 6                           8

 8                           12

10                          16

D.

Necklaces Sold Profit $

 4                           16

 6                           20

 8                           24

10                          28

Source:

North Carolina Practice Test

Step-by-step explanation:

If Sarah makes a profit of $ 4 on every necklace she sells, then:

4 necklaces = 4 * 4 = $ 16

6 necklaces = 6 * 4 = $ 24

8 necklaces = 8 * 4 = $ 32

10 necklaces = 10 * 4 = $ 40

The correct table is A.

Solution:

Given that,

We have to find the multiplicative inverse of [tex]9^3[/tex]

By multiplicative inverse,

The product of a number and its multiplicative inverse is 1

Given number is: [tex]9^3[/tex]

Let "x" be the required multiplicative inverse

Therefore,

[tex]9^3 \times \text{ multiplicative inverse of } 9^3 = 1[/tex]

[tex]9^3 \times x = 1\\\\x = \frac{1}{9^3}[/tex]

Thus the multiplicative inverse of [tex]9^3[/tex] is [tex]\frac{1}{9^3}[/tex]

Answer:

[tex]\bold{\frac{(cosx-sinx)}{(sinx)}}=\bold{\frac{cosx-sinx}{sinx}}[/tex]

Step-by-step explanation:

[tex]\frac{cos^2x-sin^2x}{sin^2x+sinxcosx}=cotx-1[/tex]

We're going to start by manipulating the left side of the equation and making it the same form as [tex]cotx-1[/tex].

Start by applying the difference of two squares formula to the numerator, like so:

Now simplify the denominator by expanding the [tex]sin^2x[/tex].

The denominator can even be further simplified since both addends (when added together = a sum) have the common factor of [tex]sinx[/tex]. Factor it out.

Cancel out the common factor [tex](cosx+sinx)[/tex].

Since this is the furthest simplified that the left side can be manipulated, let's see if can try to manipulate the right side to also look like [tex]\frac{(cosx-sinx)}{(sinx)}[/tex].

Start by expressing [tex]cotx-1[/tex] with [tex]sinx[/tex] and [tex]cosx[/tex], since we know that cotangent is simply [tex]\frac{x}{y} \rightarrow\frac{cosx}{sinx}[/tex].

We can simplify this expression to look like our expression we found by manipulating the left side [tex](\frac{(cosx-sinx)}{(sinx)})[/tex] by making the 1 have a common denominator of [tex]sinx[/tex].

To do this, multiply 1 by [tex]\frac{sinx}{sinx}[/tex]. Now the expression should look like:

Since they have a common denominator we can write the expression under one fraction, like so:

This looks exactly the same as what we manipulated the left side to be [tex](\frac{(cosx-sinx)}{(sinx)})[/tex], just without parentheses. I put both expressions in bold. Therefore, this identity proves to be true as we just proved it.

Answer:

B.

Step-by-step explanation:

We see (-10) repeating six times. This means the product would be 6(-10). To simplify this, 6 × (-10) = -60.

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

4.

22+4x= 90

4x=90-22

4x=68

x°=17°

7.

(x-5)°+29°=180°

x-5+29=180

x= 180-24

x=156°

10.

(x+3)°+49°=90°

x= 90-52°

x=38°

Answer: x = - 19

y = 55

Step-by-step explanation:

y = - 3x - 2 (1)

5x + 2y = 15 (2)

substitute y = - 3x - 2 into equation (2)

equation (2) becomes

5x + 2 (-3x - 2) = 15

5x + ( - 6x - 4) = 15

opening the bracket

5x - 6x - 4 = 15

collecting like terms

5x - 6x = 15 + 4

-x = 19

x = - 19

substituting x = - 19 into equation 1

y = - 3x - 2

y = - 3 (-19) - 2

y = 57- 2

y = 55

Answer:

x= 19/11

y=35/11

Step-by-step explanation:

Answer:

The graph is decreasing everywhere, the second option.

Step-by-step explanation:

Took the test.

Answer:

75

Step-by-step explanation:

you have 600 = 8 and you want to break it down into just 1 hour so you divide both sides by 8

600/8 = 75

Final answer:

The student was traveling at a speed of 75 miles per hour.

Explanation:

To calculate the speed in miles per hour when a student has traveled 600 miles in 8 hours, you divide the total distance by the total time taken. The formula to find speed is:

Speed = Distance / Time

So, if we plug in the values we have:

Speed = 600 miles / 8 hours = 75 miles per hour

Therefore, the student was traveling at a speed of 75 miles per hour.

Answer:

The answer is 8 hope this helps

To evaluate the expression [tex]8 + (-25) + 16 - (-25) - 16[/tex], we need to follow the order of operations, which is:

1. Perform any operations inside parentheses or brackets. 2. Evaluate any exponents or powers. 3. Perform multiplication and division from left to right. 4. Perform addition and subtraction from left to right. Let's break down each step of the calculation:

Step 1: Parentheses or brackets There are no parentheses or brackets in the expression. Step 2: Exponents or powers There are no exponents or powers in the expression. Step 3: Multiplication and division There is no multiplication or division in the expression. Step 4: Addition and subtraction Now, we can perform the addition and subtraction from left to right:

[tex]8 + (-25) + 16 - (-25) - 16 = -17 + 16 - (-25) - 16[/tex]  simplified

[tex]8 + (-25)[/tex]  to [tex]-17) = -17 + 16 + 25 - 16[/tex] [tex]simplified[/tex] [tex]-(-25) to +25) = 8[/tex]  

([tex]simplified[/tex] [tex]-17 + 16 to -1[/tex], and [tex]-1 + 25 to +24[/tex] , and[tex]24 - 16 to 8[/tex])

Therefore, the value of the expression [tex]8 + (-25) + 16 - (-25) - 16[/tex] is 8. In summary, when evaluating the given expression, we followed the order of operations and calculated the value step by step. The final result is 8.

To know more about Parentheses visit:

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Answer: 3.01 is less than 3.10

Step-by-step explanation:

Answer: 3.01 is less than 3.01

Step-by-step explanation:

3.10 is .09 more than 3.01

Length = 12 m and width = [tex]\frac{7}{2}[/tex] m.

Solution:

Let the width of the rectangle be w.

Length of the rectangle = 2w + 5

Area of the rectangle given = 42 m²

Area of the rectangle = length × width

length × width = 42

(2w + 5) × w = 42

[tex]2w^2+5w=42[/tex]

Subtract 42 from both sides, we get

[tex]2w^2+5w-42=0[/tex]

Using quadratic formula,

[tex]$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

Here, [tex]a=2, b=5, c=-42[/tex]

[tex]$w=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 2(-42)}}{2 \cdot 2}[/tex]

[tex]$w=\frac{-5 \pm \sqrt{25+336}}{4}[/tex]

[tex]$w=\frac{-5 \pm \sqrt{361}}{4}[/tex]

[tex]$w=\frac{-5 \pm19}{4}[/tex]

[tex]$w=\frac{-5+19}{4}, w=\frac{-5-19}{4}[/tex]

[tex]$w=\frac{14}{4}, w=\frac{-24}{4}[/tex]

[tex]$w=\frac{7}{2}, w=-6[/tex]

Dimension cannot be in negative, so neglect w = –6.

Width of the rectangle = [tex]\frac{7}{2}[/tex] m

[tex]$L=2(\frac{7}{2} )+5=12 \ m[/tex]

Hence length = 12 m and width = [tex]\frac{7}{2}[/tex] m.

Answer:

a transformation could be a rotation, reflection, and/or a translation.

Step-by-step explanation:

In geometry, transformation refers to the movement of objects in the coordinate plane.

Therefore, a transformation could be a rotation, reflection, and/or a translation.

Answer:

y=3 x=1

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+1=4x−1

Step 1: Subtract 4x from both sides.

2x+1−4x=4x−1−4x

−2x+1=−1

Step 2: Subtract 1 from both sides.

−2x+1−1=−1−1

−2x=−2

Step 3: Divide both sides by -2.

−2x

−2

=

−2

−2

x=1

then

y=(2)(1)+1

Answer:

y=3

To estimate the dealer's cost, calculate 90% of the base price and 87% of the options price. Add the dealer's cost of the base price and options price to find the estimated dealer's cost.

To estimate the dealer's cost, we need to find 90% of the base price and 87% of the options price.

Therefore, the estimated dealer's cost is $15,982.65.

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Answer:

This will be your answer. Good luck! :)

Step-by-step explanation:

'Desmos Graphing Calculator' is extremely helpful to anyone who needs help in math involving functions and solving equations. Take the time to learn how it works and it'll be your best friend. Free, reliable, and saves time!

Answer:

3.) 200. Or in exact terms 184.3078162

4.) What?

Step-by-step explanation:

Answer:

11.GBJ JBD  12.AD GE  13.GBC GBA  14.FCD JBE (is obtuse)

Step-by-step explanation:

Answer:

11.GBJ JBD  12.AD GE  13.GBC GBA  14.FCD JBE (is obtuse)

Step-by-step explanation:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using x = 5, then

x² = 5² = 5 × 5 = 25

[tex]1^{5}[/tex] = 1 × 1 × 1 × 1 × 1 = 1

[tex]5^{1}[/tex] = 5

Answer:

y=3x+4

Step-by-step explanation:

The equation of the straight line that passes through (-3,-5) with slope 3 can be found using

[tex]y = mx + b[/tex]

where m=3 is the slope .

We substitute the slope to get:

[tex]y = 3x + b[/tex]

We substitute the point to find b.

[tex] - 5 = 3( - 3) + b \\ - 5 = - 9 + b \\ b = - 5 + 9 = 4[/tex]

The equation of the straight line is:

[tex]y = 3x + 4[/tex]

Answer:a

Step-by-step explanation:

Answer: Eleventh Grade

Step-by-step

The ratio of tenth graders to the school's total population is 86:255 = 33.7%.

The ratio of eleventh graders to the school's total population is 18:51 = 35.3%.

Since the probability of a student being in either tenth, eleventh, or twelfth grade = 1 = 100% (that is, certainty), then the probability of a randomly drawn student being in twelfth grade is (100-33.7-35.3)% = 31.0%.

When randomly choosing one student from the whole school, it is most likely (35.3%) that the student is in the eleventh grade.

You can do this:

20.64/16 = x/1

The numerator is the price, and the denominator is the number of roses. Using this formula, x would equal 1.29. This means Each rose cost $1.29.

Answer:

the correct answer is 7*x=12 or 7x=21

Answer:

n= number

7n=21

then if it asks for an answer, just solve it like you usually would

Answer:

It's form. Linear is a normal line, exponential is a curvy line, and quadratic is a u shape with the vertice on the y-axis line, making half of the u on the left quadrant and the other half on the right quadrant

Step-by-step explanation:

first is linear, second is exponential and third is quadratic

Answer:

quadratic needs to have a degree of 2, linear equations are in form y=mx+b and do not have exponents

Step-by-step explanation:

Answer:

30.

Step-by-step explanation:

6 = 2 * 3

5 = 5

LCM = 2 * 3 * 5 = 30.

Two expressions are equivalent if we can arrange one of them in order to match the other.  If we evaluate the two expressions for certain values in the input, we must get the same value in the output. In this exercise, we have the following expression:

[tex]a-2.87[/tex]

There are infinitely many equivalent expressions. We can write some of them:

[tex]\bullet \ 2a-a-2.87 \\ \\ \bullet \ a-1-1.87 \\ \\ \bullet \ 5a-4a-5.87+3[/tex]

Because when simplifying these expressions we get:

[tex]a-2.87[/tex]

Answer:

Vertical angles are angles opposite each other where two lines cross. Vertical angles are very specific - you have two intersecting lines to form two sets of vertical angles that are across from each other and congruent. Both supplementary angles and complementary angles are much broader - they do not even have to be touching or near each other, but they could be.

Answer:

1.27

Step-by-step explanation: