a card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a 9 of spades.

Answer:

1

Step-by-step explanation:

When you substitute the inside of f(g(2)), you get g(x)=2-4. Then you substitute that answer of -2 and plug it into f(x)=2x+5. Since f(-2)=2(-2)+5 equals to 1, that should be your answer.

Answer:

A.

Step-by-step explanation:

4(5+6g)

4*5+4*6g

20+24g

The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.

The given expression is 20+24g.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression can be simplified as follows:

20+24g

= 4(5+6g)

The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.

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Answer:

[tex]R= 2.6[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 40e^{.06t[/tex]

[tex][a,b] = [0,3][/tex]

Required

Determine the average rate of change (R)

This is calculated as follows:

[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a = 0[/tex] and [tex]b = 3[/tex]

Substitute 0 for a and 3 for b

[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]R = \frac{f(3) - f(0)}{3}[/tex]

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

Calculate f(3)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(3) = 40e^{.06*3}[/tex]

[tex]f(3) = 40e^{0.18}[/tex]

[tex]f(3) = 40 * 1.197[/tex]

[tex]f(3) = 47.88[/tex]

Calculate f(0)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(0) = 40e^{.06*0}[/tex]

[tex]f(0) = 40e^{0}[/tex]

[tex]f(0) = 40*1[/tex]

[tex]f(0) = 40[/tex]

So, the expression:

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

[tex]R= \frac{1}{3}[47.88 - 40][/tex]

[tex]R= \frac{1}{3}[7.88][/tex]

[tex]R= 2.62666666667[/tex]

[tex]R= 2.6[/tex]

Hence, the average rate of change is approximately 2.6

Answer:

The answer is C

Step-by-step explanation:

I say this because you have to simplify and  plug in the numbers to get answer choice c

Answer: :) hi! <3

Step-by-step explanation:

Answer:

#3

Step-by-step explanation:

Answer:

D $26

Step-by-step explanation:

Answer:

7+x3

Step-by-step explanation:

Sum means to add the addends together. A number is a word form of a variable, and you are cubing that number which is multiplying that number by itself three times.

Answer:

After solving we get [tex]\mathbf{i^3=-i}[/tex]

Option D is correct.

Step-by-step explanation:

We are given:

If  [tex]i=\sqrt{-1}[/tex] we need to find the value of [tex]i^3[/tex]

Solving:

[tex]i=\sqrt{-1}[/tex]

Taking cube on both sides

[tex]i^3=(\sqrt{-1})^3\\[/tex]

We can write [tex]a^3= a^2.a^1[/tex] Using this for solving:

[tex]i^3=(\sqrt{-1})^2.(\sqrt{-1})\\We \ know \ (\sqrt{-1})^2 =- 1 \ and \ \sqrt{-1}=1 \\i^3=-1(i)\\i^3=-i[/tex]

So, after solving we get [tex]\mathbf{i^3=-i}[/tex]

Option D is correct.

Answer:

The average price of the stock over the first six years is 56.669 US dollars.

Step-by-step explanation:

Since the price is a continuous and differentiable function, we can determine the average price by means of the following integral equation:

[tex]\bar S = \frac{1}{t_{F}-t_{O}}\cdot \int\limits^{t_{F}}_{t_{O}} {S(t)} \, dt[/tex] (1)

Where:

[tex]t_{O}[/tex] - Initial time, measured in years.

[tex]t_{F}[/tex] - Final time, measured in years.

If we know that [tex]t_{O} = 0\,yr[/tex], [tex]t_{F} = 6\,yr[/tex] and [tex]S(t) = 46+12\cdot e^{-0.04\cdot t}[/tex], then the average price of the stock over the first six years is:

[tex]\bar S = \frac{46}{6-0} \int\limits^6_0 dt +\frac{12}{6-0}\int\limits^6_0 {e^{-0.04\cdot t}} \, dt[/tex]

[tex]\bar S = \frac{23}{3}\cdot t|\limits_{0}^{6}-\frac{2}{0.04}\cdot e^{-0.04\cdot t}|_{0}^{6}[/tex] (2)

[tex]\bar S = \frac{23}{3}\cdot (6-0)-\frac{2}{0.04}\cdot [e^{-0.04\cdot (6)}-1][/tex]

[tex]\bar S = 56.669\,USD[/tex]

The average price of the stock over the first six years is 56.669 US dollars.

Answer:

ways and answer are in paper

^^^^^^^

Answer:

4.5454545454545454. . .

Step-by-step explanation:

Original equation:

2500 + 110h < 3000

Subtract 2500 from both sides

110h < 500

Divide both sides by 110

h < 4.5 (rounded to the nearest tenth)

Hope this helps :)

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Answer:

C) The vectors are orthogonal because the angle between them is 90°.

Step-by-step explanation:

got it right on edge :)

The vectors are orthogonal because the angle between them is 90°. Option C is correct.

A vector is a quantity with a magnitude, and direction that follows the law of vector addition.

Given data;

u = ⟨1, 0⟩

v= ⟨0, –3⟩

The angle between the vector is found by the formula as;

[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0[/tex]

Hence option C is correct.

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Answer:

graph A is the answer because the M is at the 3 and it move up 5

Answer:

i am pretty sure it is D

Step-by-step explanation:

Answer:

Its C.) 11x^5 - 6x^2 - 9x + 12

Step-by-step explanation:

ejenuwitee

=D

=P

Answer:

Yes you got it right.

Step-by-step explanation:

x= -7/4

x= -1 3/4, x= -1.75

Answer:

1 x=12

Step-by-step explanation:

combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side

Answer:

436.8 x 100 / 62.08 x 100 = 43680/6208

Step-by-step explanation:

When you write the problem as a fraction, multiply the numerator and denominator by 100.  Multiplying each by 100 resulted in both numbers being whole numbers. 436.8/62.08 is the same as 43,680/6,208.

Answer:

3/2, 0.75,-3/2, -24

Step-by-step explanation:

I think that's the answer

Answer:

5 meters

Step-by-step explanation:

a squares six sides are all equal, therefore if one side is 5 meters, all other sides are 5 meters

Answer:

X = 2

Step-by-step explanation:

4-14=5x

10=5x

10/5=5x/5

2=x

Answer: x = -2

Step-by-step explanation:

Let's solve your equation step-by-step.

4−14=5x

Step 1: Simplify both sides of the equation.

4−14=5x

4+−14=5x

(4+−14)=5x

(Combine Like Terms)

−10=5x

−10=5x

Step 2: Flip the equation.

5x=−10

Step 3: Divide both sides by 5.

5x/5=−10/5

x=−2

Answer:

6.28 or 7

Step-by-step explanation:

you have to time pie x inches

pie x inches

3.14 x 2

=6.28 rounded up 7

Answer:

D

Step-by-step explanation:

Answer:

X = 56/14 = 4

Step-by-step explanation:

Answer: 2.6 pounds of CO₂

Step-by-step explanation:

1 kilowatt per hour produces 0.99 pounds of C02.

The watts used was;

= (5,657 * 28/60 hours) / 1,000

= ‭2,639.93333333

In kilowatts;

= ‭2,639.93333333/1,000

= 2.6399333 kilowatts

CO2 produced;

= 2.6399333 * 0.99

= 2.613533967‬

= 2.6 pounds of CO2

Answer:

f−1(x)=5x4−5

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Answer:

8

Step-by-step explanation:

Answer:

0.125

Step-by-step explanation:

Answer:

8) 21 milliliters

i am not completly sure but it is NOT the whole

9) .4 & 40%

7) 9670 feet

10) a) $7200       b)350,000

Step-by-step explanation:

cuz 35% of 60 is 21

cuz 120/300 is .4 and if you take 300 * .4 it equals 120

Answer:

44%

Step-by-step explanation:

40/90 when put into a decimal is 0.4 repeating. Rounding that, it is 0.44, or 44%