I need help please
I need this for homework and I need help please
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In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.

Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.

Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.

Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.

Alternate interior angles are congruent, as well as alternate exterior angles.

By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.

It is important to measure angles systematically and compare them to find congruent or equal measures.

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Answer:

A. Yes

B. No

C. Yes

D. Yes

Step-by-step explanation:

angle naming protocol states that you start with the vertice farthest from the angle, the vertix at the angle is the second letter, and the last leg of the triangle is the third letter

Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

Given : Explain how you would graph the inequality: 3 ≤ x .

Solution : Graph in attachment .

Answer:

When you are graphing the equation the line, theline on the graph is going to be vertical. Your line point will be ( 3, 0 ). Then there will be a shaded part of the graph on the right on of the line.

Answer:

the correct answer is truly

Step-by-step explanation:

STOP CHEATING ON THID APP

Answer:

10/3 or 3 1/3

Step-by-step explanation:

4 1/3= 13/3 as a mixed fraction

he gives 2/3 to sara:

13/3 - 2/2= 11/3

then he gives 1/3 to bill:

11/3-1/3= 10/3

he has 10/3 which is equal to 3 1/3

a) The parametric equations of the line are: x(t) = −2 + 3t, y(t) = 4 − 2t, z(t) = 3 + 4t and The symmetric equation of the line are: (x + 2)/3 = (y − 4)/−2 = (z − 3)/4

b) The line intersects yz-plane at (0, 8/3, 17/3)

The given points on the line are:

(x₁, y₁, z₁) = (−2, 4, 3)

(x₂, y₂, z₂) = (1, 2, 7)

The direction ratios of this line are:

⟨a, b, c⟩ = ⟨x₂ − x₁, y₂ − y₁, z₂ − z₁⟩

             = ⟨1 + 2, 2 − 4, 7 − 3⟩

             = ⟨3, −2, 4⟩

a) Parametric equations of the line:

These are given by:

x(t) = x₁ + at = −2 + 3t

y(t) = y₁ + bt = 4 − 2t

z(t) = z₁ + ct = 3 + 4t

Symmetric equation of the line:

This is given by:

              (x − x₁)/a = (y − y₁)/b = (z − z₁)/c

              (x + 2)/3 = (y − 4)/−2 = (z − 3)/4

b) When a line intersects the yz-plane, its x-coordinate is zero.

Using the parametric equations of the part (a):

                                   x = 0

                          −2 + 3t = 0

                                  3t = 2

                                    t = 2/3

Substitute this in the parametric equations corresponding to y and z as well:

                                   y = 4 −2t

                                      = 4 − 2(2/3)

                                      = 8/3

                                   z = 3 + 4t

                                      = 3 + 4(2/3)

                                      = 17/3

Hence, the required point is: (x, y, z) = (0, 8/3, 17/3)

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Answer:

I think 4^0 is the answer

Answer:

The area of a triangle is A=1/2*b*h

When we graph the vertices of the triangle on a graph, we see that the lowest points are at y=-2, and the highest point is at y=1.  Therefore, our height is 3.

The base of the triangle goes from (0,-2) to (8,-2), which gives us a length of 8 for our base.

A=1/2*(8)*(3)

A=12

or

Answer:

12 square unit.

Step-by-step explanation:

Since, the area of a triangle having vertices ,  and  is,

Here, the vertices of the triangle are (0, −2), ​(8, −2) and ​ (9, 1),

Hence, area of the given triangle is,

Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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Answer: 30%

Step-by-step explanation:

now-before = difference

156000-120000= 36000 difference

(difference/before)*100 = percent

36000÷120000=0.3

0.3*100 = 30% change

Answer:

$23.97 is the sales tax

Step-by-step explanation:

5.5% ÷ 100 = 0.055

0.055 x 435.78 = 23.9679

round to nearest hundredth

= 23.97

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

\(Initial =1\ million\)

\(6\ years\ later = 500,000\)

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

\(\frac{dA}{dt} = kA\)

Where k represents the constant of proportionality

\(\frac{dA}{dt} = kA\)

Multiply both sides by dt/A

\(\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}\)

\(\frac{dA}{A} = k\ dt\)

Integrate both sides

\(\int\ {\frac{dA}{A} = \int\ {k\ dt}\)

\(ln\ A = kt + lnC\)

Make A, the subject

\(A = Ce^{kt}\)

\(t = 0\ when\ A =1\ million\) i.e. At initial

So, we have:

\(A = Ce^{kt}\)

\(1000000 = Ce^{k*0}\)

\(1000000 = Ce^{0}\)

\(1000000 = C*1\)

\(1000000 = C\)

\(C =1000000\)

Substitute \(C =1000000\) in \(A = Ce^{kt}\)

\(A = 1000000e^{kt}\)

To solve for k;

\(6\ years\ later = 500,000\)

i.e.

\(t = 6\ A = 500000\)

So:

\(500000= 1000000e^{k*6}\)

Divide both sides by 1000000

\(0.5= e^{k*6}\)

Take natural logarithm (ln) of both sides

\(ln(0.5) = ln(e^{k*6})\)

\(ln(0.5) = k*6\)

Solve for k

\(k = \frac{ln(0.5)}{6}\)

\(k = \frac{-0.693}{6}\)

\(k = -0.1155\)

Recall that:

\(\frac{dA}{dt} = kA\)

Where

\(\frac{dA}{dt}\) = Rate

So, when

\(A = 600000\)

The rate is:

\(\frac{dA}{dt} = -0.1155 * 600000\)

\(\frac{dA}{dt} = -69300\)

Hence, the amount of oil was decreasing at 69300 barrels, yearly

Answer:

x ≤ 10

Step-by-step explanation:

Answer:

B. A triangle with side lengths 9 12 15

Step-by-step explanation:

9/3= 3

12/3= 4

15/3 = 5

A perfect right triangle is 3, 4, 5.

Answer:

8t - 7 ≤ 41  ||  t ≤ 6

Step-by-step explanation:

8t - 7 ≤ 41

   +7      +7

---------------

8t ≤ 48

÷8    ÷8

----------------

t ≤ 6

Answer:

i think the answer is

\(f(x) = \\ - \frac{45x {}^{2} }{(1 + x {}^{3}) {}^{2} }\)

The per capital GDP in the country is $27,398.31.

When GDP is given without specification, it usually means nominal GDP. Nominal GDP is the total value of all goods and services produced in a country at current market prices, without adjusting for inflation.

per capital GDP is given by the formula:

per capital GDP = [Nominal GDP/(1 + inflation)] / [population]

Nominal GDP = $1.31 trillion = $1.31 * 10¹²

inflation = 2.5% = 0.025

population = 46,647,000

per capital GDP = [1.31*10¹²/(1 + 0.025)] / [46,647,000]

per capital GDP = [1.31*10¹²/(1.025)] / [46,647,000]

per capital GDP = $27,398.31

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Answer: Choice A

U = (x+3)

V = 7

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

Explanation:

If we let U = (x+3), then the original expression turns into U^2 + 14U + 49

This factors to (U+7)^2 when using the perfect square factor rule which in general is (a+b)^2 = a^2+2ab+b^2

Comparing the last term 49 with b^2, we see that b^2 = 49 leads to b = 7

So that must mean V = 7 in order to have

(U+V)^2 = U^2+2UV+V^2 = U^2 + 14U + 49

be a true statement

The number of multiple-choice and short-answer questions on a test with 65 questions will be 40 and 25 respectively.

To determine the number of multiple-choice and short-answer questions on a test with 65 questions, we can set up a proportion based on the given ratio:

Multiple-choice questions : Short-answer questions = 8 : 5

Let x be the number of multiple-choice questions.

Let y be the number of short-answer questions.

Using the proportion, we can set up the following equation:

8/5 = x/y

8y = 5x

x = (8y)/5

Since the total number of questions on the test is 65, we have the equation:

x + y = 65

Substituting the expression for x from the previous equation:

(8y)/5 + y = 65

(8y + 5y)/5 = 65

13y/5 = 65

13y = 65 * 5

13y = 325

Dividing both sides by 13:

y = 325/13

y = 25

Substituting this value of y back into the equation x = (8y)/5:

x = (8 x 25)/5

x = 40

Therefore, there are 40 multiple-choice questions and 25 short-answer questions on the test with a total of 65 questions.

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Answer:

66n-17m

Step-by-step explanation:

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

Answer:

66n - 31m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

26n - 7m + 4(10n - 6m)

Step 2: Simplify

Answer:

7 trophies for $49.00

5 trophies for $30.00

-----------------------------------

Explination:

It says that she wants to pay no more than 7 dollars for each trophy she buys, which means 7 and less. So we have to multiply 7 x the number of trophies, And if it gives you the excact number or less its correct.

So we multiply

7 x 7 = 49 (The excact number, correct)

9 x 7 = 63 (The price they are selling it at is higher, incorrect)

12 x 7 = 84 (The price they are selling it at is higher, incorrect)

5 x 7 = 35 (Paying less, Correct)

3 x 7 (The price they are selling it at is higher, incorrect)

---------------------------------------------------------------------------------------

Its really easy if you put your mind into it! Goodluck <3

Step-by-step explanation:

f(x) = sin(x), a = π/6, n = 4

Find the derivatives.

f⁽⁰⁾(π/6) = sin(π/6) = ½

f⁽¹⁾(π/6) = cos(π/6) = ½√3

f⁽²⁾(π/6) = -sin(π/6) = -½

f⁽³⁾(π/6) = -cos(π/6) = -½√3

f⁽⁴⁾(π/6) = sin(π/6) = ½

T₄(x) = ½ (x − π/6)⁰ / 0! + ½√3 (x − π/6)¹ / 1! − ½ (x − π/6)² / 2! − ½√3 (x − π/6)³ / 3! + ½ (x − π/6)⁴ / 4!

T₄(x) = ½ + ½√3 (x − π/6) − ¼ (x − π/6)² − ¹/₁₂√3 (x − π/6)³ + ¹/₄₈ (x − π/6)⁴

Find the fifth derivative.

f⁽⁵⁾(x) = cos(x)

So the next term of the series would be:

cos(z) (x − π/6)⁵ / 5!

For 0 ≤ z ≤ π/3,│f⁽⁵⁾(x)│is a maximum at z = 0.  Therefore:

│R₄(x)│≤ │cos(0) (0 − π/6)⁵ / 5!│

│R₄(x)│≤ 0.000328

│R₄(x)│is always positive, so we can ignore the bottom two graphs.  The top right graph has a y-intercept of approximately 0.0003, so that is the correct graph.

The three solutions to the linear equation are (0, -2), (1, 1) and (2, 4)

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The linear equation is given as

g(x) = 3x - 2

To determine the solution to the linear equation, we set the value of x to some values

say x = 0, 1 and 2

Substitute x = 0, 1 and 2 in g(x) = 3x - 2

g(0) = 3(0) - 2 = -2

g(1) = 3(1) - 2 = 1

g(2) = 3(2) - 2 = 4

Hence, the three solutions to the linear equation are (0, -2), (1, 1) and (2, 4)

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