Find the distance between the points F And K

Answer:

28 < 29 < 30

Step-by-step explanation:

29 - 1 = 28

29 + 1 = 30

Then

The integer 29 is between the two integers 28 and 30

The equation properties are:

The equations are given as:

The distributive property of an equation states that:

a * (b + c) = ab + ac

This means that 3 * (6 + 2) = 3 * 6 + 3 * 2 is represented by the distributive property.

The associative property of an equation states that:

a * (b * c) = (a * b) * c

This means that 5 * (7 * 8) = (7 * 5) * 8 and 5 * 3 * 7 = 7 * 3 * 5 are represented by the associative property.

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Answer:

A) YXWZ

Step-by-step explanation:

W) 57.4*10^4 = 574 000

X) 5.11*10^5 = 511 000

Y) 0.17*10^6 = 170 000

Z) 7.3*10^5 = 730 000

Y, X, W, Z: A

Answer:

[tex] - 3 \leqslant x \leqslant 5[/tex]

Answer:

Step-by-step explanation:

the given angle measurments are x, (x + 18), and 2(x - 5)

knowing that the angles add up to 180, you can write the equation:

x + (x + 18) + 2(x - 5) = 180

Then you solve the equation

so our equation is:

x + x + 18 + 2(x - 5) = 180

*combine like terms

2x + 18 + 2(x - 5)

*distribute the 2

2x + 18 + 2x - 10

* combine like terms

4x + 8 = 180

* subtract 8 from both sides

4x = 172

* divide both sides by 4

x = 43

so knowing that x is 43, we can plug that in to the original given angle measurements:

the top angle which was x + 18 becomes 43 + 18, or 61

the bottom right angle was 2(x - 5), now it's 2(43 - 5) or 2(38) which is 76

and the other one was x so it's 43 degrees

We can check our work by adding them together.

61 + 76 + 43 = 180

they equal 180 as the angles of a triangle should.

Note: most of these numbers should have degree symbols, but I don't know how to type that.

Answer:

|27| is 27

Step-by-step explanation:

What are you trying to ask?

Answer:

27

Step-by-step explanation:

Always in absolute value, if the number inside it is negative it will be positive. But if a number is already positive it will stay positive. Absolute value is just another way of making things positive. So always nothing will ever be negative.

Answer:

73 people

Step-by-step explanation:

4/10/74=88

1600/88=18.18

18.18 x 4= 73

18.18 x 10= 182

18.18 x 74= 1345

Answer:  73

Step-by-step explanation:

Answer:

17x-15

Step-by-step explanation:

I think.

Answer:

17x+19

Step-by-step explanation:

20x+17-(3x-2)  (Set up the equation)

20x+17-3x+2  (Distribute the negative to both, double negative cancel out)

17x+19   (Combine Like terms)

Answer:

Step-by-step explanation:

We are looking for the combination of 7 out of 15.

This is written as

This is calculated as

Correct choice is A

Answer: 46

Step-by-step explanation:

The angles add to form a straight angle, so x+99+35=180. It follows that x=46.

Answer:

  (d)  2sin(2θ +π/4) -1

Step-by-step explanation:

The graphed function has a midline of -1 (eliminates choice A). It will be a cosine function shifted right π/8 units, or a sine function shifted left π/8 units.

__

The shift is accomplished by replacing θ with (θ -π/8) in the sine function, or (θ +π/8) in the cosine function. That means, we're looking for an expression that is either of ...

  2(cos(2(θ-π/8)) -1 = 2cos(2θ -π/4) -1 . . . . . no match

or

  2(sin(2(θ+π/8)) -1 = 2sin(2θ +π/4) -1 . . . . . matches choice D

_____

Additional comment

In the form ...

  g(x) = K·f(C(x -A)) +B

the factor K is a vertical stretch factor, C is a horizontal compression factor, A is a right shift, and B is an up shift. In this function, we have its amplitude stretched by a factor of 2, a down shift of 1 unit, and a horizontal shift of π/8. The horizontal compression factor is 2.

__

The amount of horizontal shift for the cosine function is found at the peak nearest the y-axis. The amount of horizontal shift for the sine function is found at the upward midline crossing nearest the y-axis.

Answer: 324.02

Step-by-step explanation:

Radius 51.57

Answer:

there is 13 whole number between 25 and 38

Answer:

Finding the area of each parallelogram, applying the formula, it is found that the parallelogram D has an area of 60 square units

Step-by-step explanation:

Similarly to a rectangle, the area of a parallelogram is given by height multiplied by base, that is:

In item A, the height is of 15 units and the base is of 10 units, thus, the area, in square units, is of .

In item B, the height is of 6 units and the base is of 10.2 units, thus, the area, in square units, is of .

In item C, the height is of 15 units and the base is of 15 units, thus, the area, in square units, is of .

In item D, the height is of 10 units and the base is of 6 units, thus, the area, in square units, is of , which means that this is the correct option.

Answer: 1.5

Step-by-step explanation:Let the standard deviation of the shoe size be represented by ' ' and the mean shoe size be represented by ' = 7.5'. Also, the sizes of the shoe be represented by ' '. So, . Hence, the standard deviation of the shoe size data for the math class is 1.5.

According to the information given, we have that:

a) The system of equations is given by: x + y = 850, 0.5x + 0.75y = 500.

b) You has saved $550 and your sister has saved $300.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Item a:

Together you have $850 saved up, hence:

x + y = 850.

You contribute 50% of your savings and your sister contributes 75% of hers toward the $500 cost, hence:

0.5x + 0.75y = 500.

Item b:

From the first equation, we have that:

x = 850 - y

Replacing on the second:

0.5(850 - y) + 0.75y = 500

0.25y = 75

y = 75/0.25

y = 300

x = 850 - y = 550.

You has saved $550 and your sister has saved $300.

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Step-by-step explanation:

So the question is easy ....the thing that you need to do is just to multiply the expression and organize the like terms....okay so lets solvee..

[tex](x + 3)(x - 3)[/tex]

Solution,

[tex] = x(x - 3) + 3(x - 3)[/tex]

[tex] = {x}^{2} - 3x + 3x - 9[/tex]

[tex] = {x}^{2} - 9[/tex]

Answer:

$22560

step 1

$270 × 4month

=$1880 for a month

step 2

$1880×12months

= $22560

Answer:

38.77 yd³

Step-by-step explanation:

The volume of the sphere can be determined by using the formula 4πr³/3.

[Where "r" is the radius of the circle].

We are given that:

Radius of circle = 2.1 yd

When we substitute the radius in the formula, we get;

⇒ 4 × π × (2.1)³/3

Let π be substituted as 3.14. Then;

⇒ 4 × π × (2.1)³/3

⇒ 4 × (3.14) × (2.1)³/3

When evaulating the cube of 2.1, we get;

⇒ 4 × (3.14) × (2.1)³/3

⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3

When simplified, we get;

⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3

⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)

⇒ 4 × (3.14) × (4.41) × (0.7)

⇒ (12.56) × (4.41) × (0.7)

⇒ 38.77272 ≈ 38.77 yd³          (Rounded to nearest hundredth)    

Therefore, the volume of the sphere is 38.77 yd³.    

Answer:

O B. 120 cm2

Step-by-step explanation:

2×(6×6 + 6×2 + 6×2) = 120 centimeters2

Answer:

Step-by-step explanation:

im passing this concept trust me the answer is 12

A linear model always represents a straight line which is x + y = c. Then the correct option is A.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A linear model is given as

x + y = c

In the linear model, the power of the variable is one and the equation represents on the graph as a line.

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Answer:

[tex]g(x)=2^{x-2}[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Parent function:  [tex]f(x)=2^x[/tex]

Translated 2 units right:  [tex]g(x)=f(x-2)=2^{x-2}[/tex]

We know the rule for shifting right(x is changed)

So

here

For a =2

The regression equation to predict the number of cans sold on a day that is 90°F will be 871.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in the table, shown above. Use technology to find the equation of the least-squares regression line.

Then the regression line will be passing through (55, 340) and (84, 780). Then we have

y - 340 = 15.17(x - 55)

Then the regression equation to predict the number of cans sold on a day that is 90°F will be

y - 340 = 15.17 (90 - 55)

         y = 871

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Answer:

c

Step-by-step explanation:

Answer:

7/25

Step-by-step explanation:

Let [tex]\theta= \arcsin(\frac{3}{5})[/tex] so we have [tex]x=\cos(2\theta)[/tex]

As [tex]\cos(2\theta)=\cos^2\theta-\sin^2\theta[/tex], we'll have [tex]\cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2[/tex]

To determine [tex]\cos(\arcsin(\frac{3}{5}))[/tex], construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since [tex]\theta=\arcsin(\frac{3}{5})[/tex], then [tex]\sin\theta=\frac{3}{5}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]. If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, [tex]\cos\theta=\frac{4}{5}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]. This means that [tex]\cos(\arcsin(\frac{3}{5}))=\frac{4}{5}[/tex].

Hence, [tex]\cos[2\arcsin(\frac{3}{5})]=(\frac{4}{5})^2-(\frac{3}{5})^2=\frac{16}{25}-\frac{9}{25}=\frac{7}{25}[/tex]

Answer:

$10459.19

Step-by-step explanation:

Answer: maybe c?

Step-by-step explanation:

Uh, 300+300 = 600

600+600= 1200

1200+ 1200= 2400