Table 2. Hybrid Car Sales in the USA Year 2005- 205,828 Year 2007-352,852 Year 2012-432,798. By What percent did tje sales of hybrid cars increase from 2005 to 2012? Rnter your answer rounded to the nearest whole percent

Answer:

y=-x²+3x+5.

Step-by-step explanation:

1) the common view of the quadratic function is y=ax²+bx+c, where a, b and c - numbers;

2) according to the equation above, it needed to substitute the given coordinates and to make up the system of the equations:

point (0;5): c=5;

poit(1;7): a+b+5=7 ('c' is already known, 5);

point(-2;-5): 4a-2b+5=-5 (c=5);

3) to solve the system:

[tex]\left \{ {{a+b+5=7} \atop {4a-2b+5=-5}} \right. \ = > \ \left \{ {{a=-1} \atop {b=3}} \right.[/tex]

4) finally, if a=-1, b=3 and c=5, then

y=-x²+3x+5.

Recall some identities:

tan(x) = sin(x) / cos(x)

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

This means we have

• cos²(90° - x) = [cos(90°) cos(x) + sin(90°) sin(x)]²

… = sin²(x)

• tan(180° - x) = sin(180° - x) / cos(180° - x)

… = [sin(180°) cos(x) - cos(180°) sin(x)] / [cos(180°) cos(x) + sin(180°) sin(x)]

… = sin(x) / (-cos(x))

… = -tan(x)

(and we also get sin(180° - x) = sin(x))

• cos(180° + x) = cos(180°) cos(x) - sin(180°) sin(x)

… = -cos(x)

So, the given expression reduces to

sin²(x) (-tan(x)) (-cos(x)) / sin(x) = sin²(x)

since tan(x) and cos(x)/sin(x) = 1/tan(x) will cancel.

Answer:

20 minutes

Step-by-step explanation:

Answer:

Tanya misses the class for 20 minutes

Step-by-step explanation:

11:50  to 12: 00        ⇒  10 minutes

12:00 to 12: 10         ⇒ 10 minutes  

                                     20 minutes

Answer:

c

[tex]6.46 \geqslant \frac{ { {x \sqrt[ |)x \frac{ {?}^{?} }{?} | ]{?} }^{?} }^{2} }{?} [/tex]

d

The graph of the inequality is attached to the solution.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Given is an inequality, y+4 < 3x - 1/2x - 2, we need to graph it,

This graph represents inequality y+4 < 3x - 1/2x - 2,

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As a wife, Mrs. Mallard was not free. That's why, when she heard her husband had died, she was not sad. She thought of all the hours that would now be hers alone. She no longer had to obey anyone -- she was finally free.

Answer:

c. one-tailed

Step-by-step explanation:

i think its this because i say so now trust :)

Answer:

have you missed out any option cause i doeant match with any of your options

By the vertical angle theorem, the two angles '5y + 12' and '82' are equal

    ⇒ [tex]5y + 12 = 82[/tex]

        [tex]5y = 70\\y = 14[/tex]

Thus x = 14

Hope that helps!

p.s. Definition of Vertical Angle Theorem: angles that are opposite each other and formed by two intersecting straight lines, are congruent

p.s. Diagram for what is Vertical Angle Theorem:

Answer:

y = 14

Step-by-step explanation:

82° = (5y + 12)°

5y = 82 - 12

5y = 70

y = 14

    {calculate carefully{

Answer:

The answer to this is D $27,822.53

Step-by-step explanation:

Answer:

27,822.53

Step-by-step explanation:

The polynomial a(x) = -18x² - 6x + 12 is the dividend of the polynomial division

The quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12

The polynomial functions are given as:

a(x) = -18x² - 6x + 12

b(x) = 3x³ + 9x - 1

The quotient equation is given as:

a(x)/b(x) = q(x) + r(x)/b(x)

Since the degree of the dividend a(x) is less than the degree of the divisor b(x), then it means that the value of the quotient q(x) is:

q(x) = 0

And the remainder r(x) is:

r(x) = a(x)

Substitute known values

r(x) = -18x² - 6x + 12

Hence, the quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12

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Answer:

22.5

Step-by-step explanation:

Radius = Circumference/(2*PI)

Answer:

-276^10 c + 156^6 c ^6 - 21b^4 c ^6

Step-by-step explanation:

I am not sure about my answer.But I guess it may be correct.Hope the picture will help you..

w = 231 - 46

hope it helps...!!

Answer:

185

Step-by-step explanation:

[tex]x + 46 = 231 \\ x = 231 - 46 \\ x = 185[/tex]

Answer:

9+x+(x+2)=29

Step-by-step explanation:

9+x+(x+2)=29

Inequalities help us to compare two unequal expressions.  The value of x which is the solution set of 9(2x+1)<9x–18 is -4.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

To know which value will satisfy the inequality we need to substitute each of the values into the inequality,

A) x=-4

[tex]9(2x+1) < (9x-18)\\\\9[2(-4)+1] < [9(-4)-18]\\\\9(-8+1) < (-36-18)\\\\9(-7) < -54\\\\-63 < -54[/tex]

Since the inequality is satisfied this is the solution set of the inequality.

Thus, the value of x which is the solution set of 9(2x+1)<9x–18 is -4.

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(x+2)/3 = (3x-2)/6

6(x+2) = 3(3x-2)

6x+12 = 9x-6

12+6 = 9x-6x

18 = 3x

x = 6

The domain of the function h(x) = 4·㏒₂(x - 6) + 1, using interval notation is (6, ∞)

The domain of a function is the set of the possible input values of the function, which is denoted as dom(f).

The domain of the function f: X → Y, is defined as the values of X

The given function is; h(x) = 4·㏒₂(x - 6) + 1

The domain of a function is the set of the possible input (x-values) of the function.

The values which the function ㏒₂(x - 6) can have as input, which is the domain of the function, ㏒₂(x - 6) is; 0 < x - 6 < ∞

Which gives: 6 < x < ∞

The domain of the function, h(x) = 4·㏒₂(x - 6) + 1 is 6 < x < ∞, which using interval notation is (6, ∞)

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The measure of length EF is the triangle EFG has an area of 70 m² is 7.38m

A triangle is a 2-dimensional shape with 3 sides and angles. The formula for calculating the area of a triangle is expressed as:

A = (EF)(FG) sin theta

If the ratio of EF to FG is 1:2, then FG = 2EF
A = (EF)(2EF) sin theta
70 = 2EF²sin40
70 = 1.2856EF²
EF² = 54.474
EF = 7.38m

Hence the measure of length EF is the triangle EFG has an area of 70 m² is 7.38m

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If the classmates donate $230 each, then the answer would be:

( 230   ×   17 )   +   300 =   4,210

If they donated 230 altogether, then the answer would be:

300   +   230 =   530

Step-by-step explanation:

1) Ans 3

2) Ans 6

3) Ans 4

4) Ans 1/5

5) Ans 1/23

Answer:

63

Step-by-step explanation:

Using the formula attached, we can setup the equation:

[tex]211 + (38 - 1) - 4[/tex]

Then using a calculator you can solve

The required 38th term of the given arithmetic sequence is 63.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

here,
Given sequence,
211,207,203,...
First term, a = 211
Common difference, d = 207 - 211 = -4

Now.
Nth term of an arithmetic progression,
Nth term = a + (n -1)d
Nth term of given sequence
Nth term = 211 - (n - 1)4

Now, put n = 38
38th term = 211 - (38 - 1)4
38th term = 211 - [37](4)
38th term = 211 - 148 = 63

Thus, the required 38th term of the given arithmetic sequence is 63.

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Answer:

(6,4)

Step-by-step explanation:

First we must cross out the -2x and 2x since they're both opposites of each other and thus they cancel each other out.

Now we have:

3y = 0

2y = 20

So next we add the 3 and 2 to get 5y, and then we add 20 and 0 to get 20.

So now we have:

5y = 20

And so we'll simply divide by 5 on both sides, and the answer is y = 4.

Now normally we would plug 4 back in to one of the equations to solve for x, but since only one of the answer choices has 4 in the y position, we can already tell that (6,4) is the answer.

Hope this helps you. Sorry if it doesn't though.

Answer:

144° or 36°- depends on what you are asking.

Step-by-step explanation:

Since there are 190° in a straight line and there is 36° on one side. I then substracted 190-36 to get 144°.

If you are asking for the missing side of the triangle then the answer is 36° since this triangle is an equilateral triangle.

Answer:

193

Step-by-step explanation:

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

3+1 can be simplified to 4

6 times 9 is 54

(4)(54)-23

216-23

193

If 32 superscript 2 c baseline = 8 superscript c 7 is the given expression then the value of c is 3.

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

The given equation is 32 superscript 2 c baseline = 8 superscript c 7

[tex]32^{2c} = 8^{c+7}[/tex]

Write the expression in exponents form as

[tex](2^5)^{2c} = (2^3)^{c+7}[/tex]

[tex](2)^{10c} = (2)^{3c+21}[/tex]

Comparing the base,

10c = 3c + 21

10c - 3c = 21

7c = 21

c = 21/ 7

c = 3

Therefore, the value of c is 3.

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first im guessing its 4 and 1/2

and the second is 3