Equation of line p is y=x+7. Equation of a is y=-x+11. Prove that the lines are perpendicular

The exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5

If an angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2), the measure of cos(120) can be expressed as;

Cos120 = cos(90 + 30)

Using the cosine rule of addition

cos(90 + 30) = cos90cos30 - sin90sin30

cos(90 + 30) = 0(√3/2) - 1(0.5)

cos(90 + 30) = 0 - 0.5

cos(90 + 30) = 0.5

Hence the exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5

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Answer:

It's -0.5

Explanation:
Answered it

The function f(x) is concave up on the interval (-∞, D), concave down on the interval (D, E), concave up on the interval (E, F), and concave down on the interval (F, ∞).

To determine the concavity of a function, we look at the second derivative. If the second derivative is positive, the function is concave up, and if the second derivative is negative, the function is concave down.

Given the function f(x) = 12x^5 + 30x^3 + 300x + 5, we need to find the inflection points (D, E, and F) where the concavity changes.

To find the inflection points, we need to find the values of x where the second derivative changes sign. Taking the second derivative of f(x), we get f''(x) = 120x^3 + 180x^2 + 600.

Setting f''(x) = 0 and solving for x, we find the critical points. However, the given function's second derivative is a cubic polynomial, which doesn't have simple solutions.

Therefore, we cannot determine the exact values of D, E, and F without further information or a more precise method of calculation.

However, we can still determine the concavity of f(x) on the intervals between the inflection points. Since the function is concave up when the second derivative is positive and concave down when the second derivative is negative, we can conclude the following:

On the interval (-∞, D): Since we do not know the exact values of D, we cannot determine the concavity on this interval.

On the interval (D, E): The function is concave down as it approaches the first inflection point D.

On the interval (E, F): The function is concave up as it passes through the inflection point E.

On the interval (F, ∞): Since we do not know the exact value of F, we cannot determine the concavity on this interval.

Please note that without specific values for D, E, and F, we can only determine the concavity on the intervals where we have the inflection points.

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Answer:

Step-by-step explanation:

The area of a rectangle is length time width.

A=LW

In this case,

A=32x^2+12

W=4x

Solve for L

L=A/W

Substitute

L=(32x^2+12)/4x

L=(8x^2+3)/x

Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).

A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.

For example, assigning a value to the wrong variable may cause a many of unexpected program errors.

These errors can be programmer mistakes or sometimes machine less memory to load the code.

if(x>=5) {

// program

}

else if(x==5) {

//program

}

else(x<=5) {

//program

}

they all do not give any error.

x=5 gave an error because it is value assigning to 5.

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There are five ways to find two congruent triangles:

• SSS or Side Side Side

• SAS or Side Angle Side

• AAS or Angle Side

• HL or Hypotenuse Leg, right triangles only

Two triangles are congruent if corresponding side lengths are equal and corresponding interior angles are equal.

Side Side Side Postulate

Postulate is true without certification. The SSS postulate tells us that two triangles are congruent if three sides of the triangle are congruent with three sides of another triangle.

If the ACE has three sides that are identical to the three sides of the HUM, then by SSS the two triangles are congruent.

Side Angle Side postulate

This postulate states that two triangles are congruent if the two angles and the inscribed side of the triangle are congruent to the two angles and the inscribed side of another triangle. Two triangles are congruent if the side is an included angle of another triangle. The sides, included angles, and sides of HUG and LAB are congruent. Therefore, according to SAS, the two triangles are congruent.

Angle Angle Side postulate

Given two corners and a side that is not contained opposite one of the corners. The angle-angle-side theorem states that triangles are congruent if two angles and the non-inclusive side of the triangle are congruent with the corresponding parts of another triangle.

HL Postulate

For right triangles only, the HL postulate tells us that "two right triangles with congruent hypotenuses and corresponding congruent legs are congruent".

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Slime was a toy product manufactured by Mattel, sold in a plastic trash can and introduced in February 1976. It consisted of a non-toxic viscous, squishy and oozy green or other color material made primarily from guar gum.

Answer:

7+(5n)=45

n= 7.6

Step-by-step explanation:

Answer:

10 miles

Step-by-step explanation:

The information given forms a right angled triangle ; hence, we can use Pythagoras rule to solve for the distance, x

Recall:

Hypotenus = sqrt(opposite ² + adjacent ²)

Hypotenus = x

Therefore,

x = sqrt(6² + 8²)

x = sqrt(36 + 64)

x = sqrt(100)

x = 10

Distance between tween my friends house and my house = 10 miles

Answer:

Option F. 1/√3

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 30°

Opposite = 1

Adjacent = √3

The value of Tan 30° can be obtained as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = 1/√3

Thus, the value of Tan 30° is 1/√3

Answer:

(-3, 4)

Step-by-step explanation:

hey there,

< From the first equation, let's find x.

x + 3y = 9

x = 9-3y    (I hope you understand how that works )

Next, we can substitute our equation that equals to x into the second equation.

2x + y = -2

2(9-3y) + y = -2     (I substituted "x" in "2x" with (9-3y))

Now, let's solve.

2(9-3y) + y = -2

18 - 6y + y = -2

-5y = -20

y = 4

Now that we have found what y is equal to, we can find x too. In the beginning we found that x = 9-3y so x = 9-3(4) = -3 >

Hope this helped! Feel free to ask anything else.

To calculate chi-square test, the exact steps and options may vary slightly depending on the specific model of the TI-83 calculator and its operating system

What is Chi-Square Test?

When the sample sizes are large, a chi-squared test is a statistical hypothesis test used in the study of contingency tables.

To put it another way, the main purpose of this test is to determine whether two category factors have independent effects on the test statistic.

It is frequently used to assess how well sampling data represents the entire population.

To calculate the chi-square test statistic on a TI-83 calculator, you can do the following:

Please note that the exact steps and options may vary slightly depending on the specific model of the TI-83 calculator and its operating system. It's always a good idea to refer to the calculator's manual or user manual for detailed instructions.

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Step-by-step explanation:

Answer:

1) Numbers which are to the left of 0 are negative numbers.

2) Numbers which are to the right of 0 are positive numbers.

3) 0 is neither positive nor negative

When it comes for plotting the numbers on the number line , just point out the numbers in accordance to their sign. In the given number line ( in the attachment ) , only mark those numbers which are being asked to plot in the number line .

Step-by-step explanation:

-3(X - 4) = – 3x + 12 infinite solutions

4(x + 1) = 3x + 4 one solution

-2(x-3) = 2x - 6 one solution

6(x + 5) = 6x + 11 no solution

5(x-2)=5x-7 no solution

To convert a measure from degrees to radians you have to keep in mind that 1º degree is equal to π/180º

a)

To transform the given measures you can use cross multiplication

1º_____π/180º

315º___ x

315º = 7/4π rad

b)

1º______π/180º

120º____x

120º = 2/3π rad

Answer:

not sure if they want 19 or 19.00

The observed value of z (test statistic) is greater than 1.96 (the test statistic does fall into the rejection region), so Reject H₀ .

p₁ = the proportion of the non-smoker population who reply "yes"

p₂ = the proportion of the smoker population who reply "yes," then we are interested in testing the null hypothesis

H₀:  p₁ = p₂

Alternate hypothesis:

Hₐ:  p₁≠p₂

That implies then that the test statistic for testing:

H₀ : p1 = p2

Hₐ : p1 ≠ p2.                              (Two – tailed)

n1 = 605, y1 = 351

p1 = y1 / n1

= 351/605

≈ 0.58

n2 = 195, y2 = 41.

p2 = y2/n2

= 41 / 195

≈0.21

p = y1 + y2 / n1 + n2

= 351 + 41 / 605 + 195

= 392 / 800

= 0.49

The test statistic is

\(z = \frac{p1 - p2}{\sqrt{p(1-p). (\frac{1}{n1}}+ \frac{1}{n2} ) } }\)

z = \(\frac{0.58 - 0.21}\sqrt{{0.49 . 0.51 (\frac{1}{605} + \frac{1}{195} )} }\)    

= 8.988

critical region for α = 0.01

z = 2.576

The observed value of z (test statistic) is greater than 1.96 (the test statistic does fall into the rejection region),

so Reject H₀ .

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You did it right ! Great Job

Answer:

( 10 m n^3) ^2

Step-by-step explanation:

100 m^2 n^6

Break into pieces

What number times itself gives 100

10*10 = 100

m*m = m^2

n*n*n*n*n*n = n^6  Breaking into two parts

n^3 * n^3 = n^6

( 10 m n^3) ^2

Answer:

\((10mn^3)^2\)

Step-by-step explanation:

The square root of 100 is 10.

Divide the exponents of \(m^2 n^6\) by 2.

You get: \(mn^3\)

Put them together and add on the ^2

You get \((10mn^3)^2\)

I hope this helps!

Answer:

2 over 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

These answers are in order btw!

1=2

2=4

4=6

8=10

Table 2:

1=3

2=6

3=9

4=12

5=15

I’ll finish table 3 and put it in the commenta since this one will take me longer

Answer:

easy so

Step-by-step explanation:

first table left side its 1 2 3 4 5

right side its 2 4 6 8 10

second table left side 1 2 3 4 5

right side 3 6 9 12 15

third table left side 4 6 8 10 12

right 2 3 4 5 6

can i have brainlest if right please

Answer:

3

Step-by-step explanation:

Examples that would equal 3:

2 + 1 = 3 or 1 + 1 + 1 = 3

1.5 + 1.5 = 3

3 * 1 = 3

There you go the different ways to get 3

Answer:

Equiano responds with shock and horror to the conditions he describes aboard the slave ship on the Middle Passage. Equiano is struck by the claustrophobic conditions below decks, and describes in lurid detail the smells of sweat and human waste as well as the screams and moans of slaves confined in these awful conditions

Step-by-step explanation:

Remember that

P(A or B)=P(A)+P(B)-P(A and B)

In this problem, we have that

Event A and Event B are not independent

we have

P(A)=0.68

P(B)=0.32

P(A and B)=0.11

substitute

P(A or B)=0.68+0.32-0.11

P(A or B)=0.89

Answer: 2/8 first answer, 6/2 second answer, 3/2 last answer

Step-by-step explanation: The slope should be the rise over the run, so the answer to the first question would be 2/8 which is rise/run which equals the slope the second answer would be 6/2=slope and the the answer to the last question is 3/2 you start from one point, rise until you get next to the other point on the graph, then you run until you get on that point, the you count your rise which will be the top number of your fraction and then you count your run which will be the bottom number of your fraction. I hope this helped if you could even make sense of all of this.

Therefore, we should draw a ring around the numbers 113 and 124.

A number is a mathematical object used to count, measure, and label. It is an abstract concept that represents a quantity or value. Numbers can be represented using symbols or words and can be classified into different types such as natural numbers, integers, rational numbers, real numbers, and complex numbers, among others. Numbers are used in a wide range of mathematical operations, including addition, subtraction, multiplication, division, and more complex calculations, and are an essential part of everyday life.

Here,

101 102 103 104 105

106 107 108 109 110

111 112 113 114 116

117 118 119 115 120

121 122 123 124 125

After dividing each number by 9, we get:

11 11 11 11 11

11 11 12 12 12

12 12 12 12 13

13 13 13 12 13

13 13 13 13 14

The numbers with a remainder of 4 when divided by 9 are: 13 and 4.

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Answer:

I'd love to help, but I need the full question first!!!

Answer:

True

Right angles measure 90° . So each vertical angle = 90° and hence they are equal

Step-by-step explanation:

Answer:

225 km

Step-by-step explanation:

75 · 3 = 225

Answer:

225 km

Step-by-step explanation:

Distance = Speed × Time

Distance = 75km/h × 3

Distance = 225km

Answer:

the answer is 17/12 all u have to do is change it into a mix fraction

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{17}{12}}}}}} \)

Step-by-step explanation:

\( \sf{ \frac{7}{12} + \frac{5}{6} }\)

Take the L.C.M of 12 and 6

To find L.C.M , first of all find the prime factors of each numbers.

12 = 2 × 2 × 3

6 = 2 × 3

Take out the common prime factors i.e 2 and 3

Also take out the other remaining prime factors : 2

Multiply those all prime factors and obtain L.C.M

L.C.M = Common factors × Remaining factors

= 2 × 3 × 2

= 12

\( \dashrightarrow{ \sf{ \frac{7 \times 1 + 5 \times 2}{12}}} \)

\( \dashrightarrow{ \sf{ \frac{7 + 10}{12}}} \)

\( \dashrightarrow{ \sf{ \frac{17}{12}}} \)

Hope I helped!

Best regards! :D