Are of quadrilateral

Answer:

- 9,800,000,000

Step-by-step explanation:

9.8 * [tex]10^{-9}[/tex]

Simplify 10 with exponent

[tex]{10}^{-9}[/tex] = -10 with 9 zeroes

Rewrite

[tex]{10}^{-9}[/tex] = -1,000,000,000

Place back into expression

9.8 * -1,000,000,000

Simplify by multiplying

- 9,800,000,000

Let me know if you have any questions!

1) [tex]OA=OB[/tex] (all radii of a circle are equal)

2) [tex]\angle OBA=52^{\circ}[/tex] (angles opposite equal sides in a triangle are equal)

3) [tex]\angle OAB+\angle OBA+\angle AOB=180^{\circ}[/tex] (angles in a triangle add to 180 degrees)

4) [tex]52^{\circ}+52^{\circ}+\angle AOB=180^{\circ}[/tex] (substitution)

5) [tex]\angle AOB=76^{\circ}[/tex] (subtraction)

6) [tex]\angle AOB+\angle BOD=180^{\circ}[/tex] (angles on a line add to 180 degrees)

7) [tex]76^{\circ}+\angle BOD=180^{\circ}[/tex] (substitution)

8) [tex]\angle BOD=104^{\circ}[/tex] (subtraction)

9) [tex]\angle ODE=\angle OBC=90^{\circ}[/tex] (tangents are perpendicular to the radius of a circle at the point of tangency)

10) [tex]\angle ODC=117^{\circ}[/tex] (angle addition postulate)

11) [tex]\angle BOD+\angle OBC+\angle ODC+\angle DCB=360^{\circ}[/tex] (angles in a quadrilateral add to 360 degrees)

12) [tex]104^{\circ}+90^{\circ}+117^{\circ}+\theta=360^{\circ}[/tex] (substitution)

13) [tex]\theta=49^{\circ}[/tex] (subtraction)

Step-by-step explanation:

hope you can understand

The parallelogram will translate along the arrow and reach the head of the arrow.

The translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.

In the given figure, the parallelogram is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.

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Answer:

yes,you can buy the textbook

Step-by-step explanation:

determine discount

60 × 0.2(decimal form of 20%)

=12

apply discount

60-12

=48

50>48✓

Answer:

128

Step-by-step explanation:

0.6 (the percentage) x 80.00= 48.00

48.00 + 80.00 = 128.00

Answer:

128

Step-by-step explanation:

60% + 100% (new price) = 160% = 1.6

80 x 1.6 = 128

[tex]15 \leq X \leq 25[/tex] is the equation represents the drivers allotted time (x) to receive a bonus.

An absolute value inequality is an expression with absolute functions as well as inequality signs.

According to the question:

Mathematically absolute value inequality is represented as :

|X -20|≤ 5

Solving the equation using

|z| ≤ a→ -a ≤ z  ≤ a :

here, z = X- 20 and a = 5:

[tex]| X-20| \leq 5\\\\ - 5\leq X-20 \leq 5[/tex]

By Solving X adding 20 on the three sides of the inequality

[tex]-5 + 20 \leq X -20 +20 \leq 5 + 20[/tex]

By simplifying it:

[tex]15 \leq X \leq 25[/tex]

Therefore the equation or inequality which represents the drivers allotted time (x) to receive a bonus [tex]15 \leq X \leq 25[/tex]

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Answer:

-3

Step-by-step explanation:

both are negatives, so think of it as addition

at the very end make sure you add the negative symbol :)

-1 1/3 - 1 2/3

The expression for YYY is (d) (x >= 50) && (x <= 100)

The instruction is given as:

If (YYY) {

// Output "50, 51, ..., 99, 100"

}

The value of x is given as:

x = 50 to 100 (inclusive)

This means that:

x must be greater than or equal to 50 AND x cannot exceed 100

The keyword AND is represented as &&.

So, the condition is:

x >= 50 && x <= 100

Hence, the expression for YYY is (d) (x >= 50) && (x <= 100)

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Answer:

1,29

Step-by-step explanation:

74*2pi/360

ezzzzzz

The key feature is that; The left side continues down, and the right side continues up.

We are given the polynomial;

Polynomial function;

f(x) = 2x³ + 5x² - 2x - 3

Leading coefficient = 2

Degree of the polynomial = 3

Since, degree of the polynomial given is odd and the leading coefficient is positive.

Therefore, left side of the graph will continue down and the right side continues up.

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The equation of the transformed function is h(x) =  4(x - 7)² - 19 option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

g(x) =  4x² - 16

The above function shifted 7 units to the right and 3 down.

Applying transformation:

x → (x - 7)

G(x) =  4(x - 7)² - 16

G(x) → G(x) - 3

h(x) =  4(x - 7)² - 16 - 3

h(x) =  4(x - 7)² - 19

Thus, the equation of the transformed function is h(x) =  4(x - 7)² - 19 option (C) is correct.

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Answer:

Add all of the sides up:

x^2 + y + 6x + 2y + y^2 + 6x + 2y + y^2 + 4x^2

= 5x^2 + 12x + 2y^2 + 5y

The similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.

It is defined as a three-dimensional space enclosed by an object or thing.

As we know,

Volume = base area×height

38.4 = base area×4

base area = 38.4/4 = 9.6 square cm

A mathematically similar paperweight has a height of 7 cm.

Volume = base area×height

Volume = 9.6×7 = 67.2 cubic cm

Thus, the similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.

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Answer:

Step-by-step explanation:

Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x).  That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).

See the attached image.  The table shows how the values of y change for each value of x used in the respective function.  Plot those new values to produce the graph.

The best-fitting regression model for the scatter plot is exponential curve , Option C is the right answer.

The missing graph is attached with the answer.

An exponential graph is given by y = aˣ , the graph for an exponential growth is also attached with the answer,

From the graph given in the question it can be concluded that it is not linear , not quadratic and it is not true that it doesn't have a pattern , It is an exponential growth graph, Therefore Option C is the right answer.

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Answer:

81 x 10^6

Step-by-step explanation:

x0000000

11111111x

22222222

33333333

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

88888888

99999999

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

The first digit and 8th digit column has only 9 numbers and the rest 6 column have 10 possible numbers

9 x 9 x 10^6 = 81 x 10^6

First function; Initial value = 250; Decay; Decay rate = 11%

Second function; Initial value = 40; Growth; Decay rate = 11%

How to solve exponential decay functions?

1) The first function is;

40 = 250(0.89)^(x)

y = 250 (initial value)

Decay because 0.89 < 1

Thus;

Decay rate: (1 - 0.89) * 100 = 11%

2) The second function is;

250 = 40(1.11)^(x)

y = 40 (initial value)

Growth because 1.11 > 1 so growth

Growth rate: (1.11 - 1) * 100 = 11%

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Answer:

profit=Rs60

Step-by-step explanation:

I hope it helps.

Answer:

C

Step-by-step explanation:

The y intercept is 3, so eliminate B and D.

Also, the slope is less than 1, so this eliminates A.

This leaves us with C.

Considering the common factor, the most efficient way to factor the expression 2x³ - 18x² + 40x is given by:

C. Factor out 2x.

The most efficient way to factor the expression is factoring out the common factor.

In this problem, the expression is:

2x³ - 18x² + 40x

We have that:

Hence the common factor is of 2x, which means that option C is correct.

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Answer: -4

Step-by-step explanation: Notice that the increments in the graph do not go in 1's, but in 2's. Meaning the first line is 2, and second line is 4, and in the middle is 3. Be careful.

The range is where the line on the graph hits the y-axis (horizontal line, or line going up). The only possible place the line hits the y-axis is at -4. No other y-value. Thus, the range of the function is -4.

The height at 150°, 240°, and 315° will be 208.66 feet, 169.5 feet, and 40.34 feet, respectively.

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

A Ferris wheel with a diameter of 214 feet was built in a city.

The top of the wheel stands 223 feet above the ground.

Then the radius will be

r = 214 / 2

r = 107 feet

The distance between the ground and bottom of the Ferris wheel will be

d = 223 – 214

d = 9 feet

Then the height will be given as

h = r(1 – cos θ) + h

h = 107(1 – cos θ) + 9

At θ = 150°, then the height will be

h = 107(1 – cos 150°) + 9

h = 208.66 feet

At θ = 240°, then the height will be

h = 107(1 – cos 240°) + 9

h = 169.5 feet

At θ = 315°, then the height will be

h = 107(1 – cos 315°) + 9

h = 40.34 feet

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Answer:

A. Exponential growth function

Answer:

- 439

Step-by-step explanation:

evaluate f(- 7) and substitute the value obtained into s(x)

f(- 7) = 3(- 7) = - 21 , then

s(- 21) = 2 - (- 21)² = 2 - 441 = - 439

Answer:

A. (s*t)(-7)=-439

Step-by-step explanation:

(s*t)(-7) is the same as s(t(-7)). First find t(-7)

t(-7)=3(-7)=-21

t(-7)=-21

Plug -21 into s(t(-7)) for t(-7).

Find s(-21).

s(-21)=2-(-21)^2=-441+2=-439

Hope this helps!

If not, I am sorry.

Answer:

8x

Step-by-step explanation:

Greatest common factor is the factor of 24, 56 and 16. Since 16x only has the power of 1, then then the answer should be on power of 1.

Answer:

Given the 24x⁵ - 56x³ + 16x contains numbers and variables, there are two steps to finding the GCF. Find the GCF for the numeric part, then find the GCF for the variable part.

Steps to find the LCD of 24x⁵ - 56x³ + 16x

Find the common factors of the numerical part: 24, −56, 16

The factors for 24 are −24,−12,−8,−6,−4,−3,−2,−1,1,2,3,4,6,8,12,24.

The factors for −56  are−56,−28,−14,−8,−7,−4,−2,−1,1,1,2,2,4,4,7,7,8,8,14,14,28,28,56,56.

The factors for 16  are −16,−8,−4,−2,−1,1,2,4,8,16.

List all the factors 24,−56,16 to find the common factors.

The common factors for 24,−56,16 are −8,−4,−2,−1.−8,−4,−2,−1

The GCF of the numerical part is 8.

[tex]\bf{GCF_{Numerical}=8 }[/tex]

Then find the common factors for the variable part:

x⁵, x³, x

The factors for x⁵ are:

x · x · x · x · x

The factors for x³ are:

x · x · x

The factors for x¹ are:

x

List all the factors x⁵, x³, x¹ to find the common factors.

x⁵ = x · x · x · x · x

x³ = x · x · x

x¹ = x

The common factor of the variables x⁵, x³, x¹ is x.

The LCD of the variable part is x.

[tex]\bf{GCF_{Numerical}=x }[/tex]

Multiply the LCD of the numerical part 8 and the GCF of the variable part x.

8x

Answer:

4.96 dollars

Step-by-step explanation:

20-5.12=14.88

14.88/3= 4.96 dollars

so each pair of socks costs 4.96$

Answer:

$ 164.68   markup

Step-by-step explanation:

22 3/8 % = 22.375 %    which is .22375 in decimal

  .22375 * $ 736 =  $ 164.68