Jakob is asked to simplify the expression –3a + 4b + 5a + (–7b).

He writes: –3a + 4b + 5a + (–7b) = –3a + 5a + 4b + (–7b).

Which property allows him to do this?
the associative property
the commutative property
the distributive property
the additive identity property

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer: pi/3

Step-by-step explanation:

correct on edge 2020

The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

sin⁻¹ ( √3/2 ) = θ

Now , the value of θ is calculated by

In a triangle , sin θ = opposite / hypotenuse

So , sin θ = √3/2

The value of θ = 60°

So , the measure of 60° in radians is θ = π/3

Hence , the value of θ from the trigonometric relation is π/3

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Answer:

The point (2, -1 ) is not on the graph of the line.

Step-by-step explanation:

3x–4y–12=0

3*2 - 4*(-1) - 12= 0

6 + 4 - 12 =0

10 - 12 = 0

- 2 = 0 , false, so the point (2, -1 ) is not on the graph of the line.

9514 1404 393

Answer:

  216 = 2³·3³ = 8·3³ = 27·2³

Step-by-step explanation:

6³ = 2·2·2·3·3·3

The string of factors can be grouped however you like, and any repeated factors in the group can be expressed using an exponent.

  = 2·2²·3³

  = 8·3³

  = 6·2²·3²

  = 6·6²

  = 27·2³

Answer:

35.800

Step-by-step explanation:

Answer:

soviet russia

Step-by-step explanation:

just kidding

The free market is an economic system based on supply and demand with little or no government control. ... Based on its political and legal rules, a country's free market economy may range between very large or entirely black market

Countries that have a market economy are Mexico, United States, United Kingdom, Germany, and Canada . These countries have a market economy because the prices of goods and services are set by supply and demand

Answer:

  C.  4x - 3

Step-by-step explanation:

The factor could be (x -3/4). Apparently, you're expected to show the factor as 4 times this, or ...

  4x -3 . . . . . matches choice C

___

If r is a root, then (x -r) is a factor. As here, factors containing fractional roots can be multiplied by the denominator to make the coefficients be integers.

Answer:

173.15 yards is the distance from tee to hole.

Step-by-step explanation:

Please refer to the image attached.

Let A is the position of tee and where the golfer is standing.

C is the position of hole.

CB is the vertical distance between greens and tee.

Angle of elevation, [tex]\angle BAC = 12^\circ[/tex]

To find: side AC.

Using trigonometric functions, we know that value of sine is:

[tex]sin\theta = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]

Here [tex]\theta = \angle BAC = 12^\circ[/tex]

Perpendicular is side CB.

Hypotenuse is side AC.

[tex]sin12^\circ = \dfrac{\text{CB}}{\text{AC}}\\\Rightarrow \text{CB} = \dfrac{36}{sin12^\circ}\\\Rightarrow \text{CB} = 173.15\ yards[/tex]

Hence, 173.15 yards is the distance from tee to hole.

Answer:

  457

Step-by-step explanation:

The general term of an arithmetic sequence is given by ...

  an = a1 +d(n -1)

where a1 is the first term (-26), and d is the common difference (7).

The 70th term of your sequence can be found by putting the numbers into this formula:

  a70 = -26 +7(70 -1) = -26 +483

  a70 = 457

The 70th term of the sequence is 457.

Answer:

The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of  

5

9

degree Celsius.

A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

A temperature increase of  

5

9

degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

A) I only

B) II only

C) III only

D) I and II only

Step-by-step explanation:

Answer: 1/24

Step-by-step explanation:

We have that 1/6 of the total field is reserved for the fifth-grade classes.

We have 4 fifth-grade classees.

Then each one of those 4 classes, has (1/4) of the reserved space.

This is:

space for each fifth-grade class = (1/4)*(1/6) = 1/24

So each fifth-grade class has a 1/24 of the total field.

Answer: 10

Step-by-step explanation:

Answer:

24 centimeters

Step-by-step explanation:

Since the longer side is 6 then multiply it by 2 which is 12, now subtract it by 20 since that is its perimeter. then u divide 8 by 2 since theres 2 sides. now do 6 times 4 which is 24

Answer:

AAA

Stp-by-step explanation:

3.

[tex]y=\sec^3x+\cot^2(2x)[/tex]

Use the chain rule:

[tex]y'=(\sec^3x)'+(\cot^2(2x))'[/tex]

[tex]y'=3\sec^2x(\sec x)'+2\cot(2x)(\cot(2x))'[/tex]

[tex]y'=3\sec^2x(\sec x\tan x)-2\cot(2x)\csc^2(2x)(2x)'[/tex]

[tex]y'=3\sec^3x\tan x-4\cot(2x)\csc^2(2x)[/tex]

4.

[tex]y=\sin(cos(3x))[/tex]

Same as before:

[tex]y'=(\sin(\cos(3x)))'[/tex]

[tex]y'=\cos(\cos(3x))(\cos(3x))'[/tex]

[tex]y'=-\cos(\cos(3x))\sin(3x)(3x)'[/tex]

[tex]y'=-3\cos(\cos(3x))\sin(3x)[/tex]

Answer: C

Step-by-step explanation:

-5^7 ➗ -5^2

(-5)^(7-2)

-5^5

Answer:

D

Step-by-step explanation:

Answer:C and D

Step-by-step explanation:

7x^2-42x=0

First find the highest common factor of 7x^2 and 42x

7x^2=7 x X x X

42x=2 x 3 x 7 x X

Highest common factor is 7x

7x(x-6)=0

7x=0. or x-6=0

x=0. or x=6

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

The null and alternative hypothesis for the tests are:

H0: μ = 20

Ha: μ < 20

Given data:

In this situation, the null and alternative hypotheses can be formulated as follows:

Null Hypothesis (H0): The average weight loss of consumers who take the "fat-burner" pill is equal to 20 pounds.

Alternative Hypothesis (Ha): The average weight loss of consumers who take the "fat-burner" pill is less than 20 pounds.

In symbolic notation:

H0: μ = 20

Ha: μ < 20

where μ represents the population mean weight loss of consumers who take the "fat-burner" pill.

The null hypothesis assumes that the claim made by the company is accurate and that the average weight loss is indeed 20 pounds. The alternative hypothesis challenges this claim and suggests that the actual average weight loss may be less than 20 pounds, implying that the "hype" around the pill's effectiveness might be exaggerated.

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Answer:

The common factors of 45 and 72 are 9, 3, 1

Step-by-step explanation:

Answer:

The GCF of these two numbers is nine.

Step-by-step explanation:

They share three common factors: 1, 3 and 9. The greatest out of all of those is 9. Hope this helps!

Answer:

0.13

Step-by-step explanation:

1/10 + 3/100 =

10/100 + 3/100 =

13/100

Hope that this helps you and have a great day:)

Step-by-step explanation:

base is 6 in

height is 4 in

to get the area of a triangle is 1/2base×height

being 1/2(6)(4)=12

to get the area of a rectangle is length×width being 9×8=72

By observing the given figure,

The base(b) of a triangle is 6 inches

The height(h)  of  a triangle is 4 inches

The area of the triangle is 12 square inches

The area of the rectangle is 72 square centimeter

A triangle is a polygon with three edges and three vertices

A rectangle is a quadrilateral with four right angles

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

From the given figure

The base(b) of a triangle is 6 inches

The height(h)  of  a triangle is 4 inches

The area of a triangle = [tex]\frac{1}{2}bh[/tex]

=[tex]\frac{1}{2}(6)(4)[/tex]

=12 square inches

Length of the rectangle = 8 centimeter

Width of the rectangle = 9 centimeter

Area of the rectangle = l × w = 9×8=72 square centimeter

Hence,

The base(b) of a triangle is 6 inches

The height(h)  of  a triangle is 4 inches

The area of the triangle is 12 square inches

The area of the rectangle is 72 square centimeter

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Answer:

The new rule has a higher salary level for exemption from overtime, at $684 a week. This means that lower-pay exempt employees may qualify for overtime.

Step-by-step explanation: this is your answer plz rate e the most brainlest

Answer:

9 times

Step-by-step explanation:

hope this helps

Answer:

9

Step-by-step explanation:

Mathematically, 9, although reality wise, you could flip the coin and get heads every time, or the opposite.

I think you mean mathematically though, so yes, it would be 9.

Answer:

it has 4 lines of symetery the x - axis,the y-axis,y=x,and y ''Cx every line through the center is a line of symetry

Step-by-step explanation:

Step-by-step explanation:

1kg = 1000g so

10 x 100 = 1000

So 100 punnets of strawberries weigh 1 kg

Answer:

The correct answer is 56.6666666667 second's

Answer:

56 2/3

Step-by-step explanation:

Answer:

the middle term = 70x⁴y⁴

Step-by-step explanation:

Given;

(x+y)⁸

This expression can be expanded as follows, using Paschal triangle;

                                                 1      1

                                               1    2     1

                                             1     3      3      1

                                         1     4       6      4     1

                                    1       5     10    10       5    1

                            1           6      15     20     15     6        1

                    1            7         21      35     35      21     7          1

        1                 8          28        56     70     56    28       8         1

At level 8, the middle coefficient is 70

Also the power of x and y will be equal in the middle term = A(xⁿ yⁿ)

A = 70 ,

n +n = 8

n = 4

Thus, the middle term = 70x⁴y⁴

Answer:

There is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.

Step-by-step explanation:

The Analysis of Variance (ANOVA) test is used to determine whether there is any significant difference between the mean of various independent groups.

In this case an ANOVA test is being performed to determine whether the fat percentage of four different ethnic groups are different or not.

The hypothesis can be defined as:

H₀: The fat percentage of four different ethnic groups are same, i.e. μ₁ = μ₂ = μ₃ = μ₄.

Hₐ: The fat percentage of at least one of the four ethnic groups is different, i.e. at least one μ[tex]_{i}[/tex] is different.

The significance level of the test is, α = 0.05.

The decision rule is:

The p-value of the ANOVA test is computed as, p-value = 0.11.

p-value = 0.11 > α = 0.05.

The null hypothesis was failed to be rejected.

Hence, it can be concluded that there is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.

Answer:

x < 18 - 10

x < 8

Step-by-step explanation:

Answer:

8 > x

Step-by-step explanation:

-10 > x- 18

Isolate the variable, x. Note the inequality sign, treat it like an equal sign; what you do to one side, you do to the other. Add 18 to both sides:

-10 (+ 18) > x - 18 (+18)

-10 + 18 > x

Simplify. Combine like terms:

(-10 + 18) > x

18 - 10 > x

8 > x

8 > x is your answer.

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