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FIRST PRESIDENT
OF THE UNITED
STATES IS ELECTED!
1
Which Virginian is being described in the headline above?
A Thomas Jefferson
B George Washington
с
Patrick Henry
D
George Mason
А
А
B
B

Answer:-516

Step-by-step explanation:

Answers:

===========================================

Explanation:

To simplify this, we combine the coefficients. This works because all of the terms have 'x' in them and nothing else (they are all like terms). We can think of this problem as trying to evaluate -12+14-6. This simplifies to -4

So -12x+14x-6x simplifies to -4x

Afterward, we replace x with 129 to get

-4x = -4*129 = -516

Answer:

420x^7 y^4  z^9

Step-by-step explanation:

I put spaces between some so that you know that no exponent has a variable as its power and it is 1 whole polynomial.

Please Mark Me Brainliest

Answer:

B is the correct answer

Step-by-step explanation:

just did this problem

Answer:

Explained below.

Step-by-step explanation:

A) We are not given a population percentage of people who wear dark or light clothes. For example, the number of people wearing dark cloths were maybe 700 and only 100 were killed.

So using the percentage of those killed to draw a conclusion is not a true representation of the reality. Thus, it is not justified to conclude that it is safer to wear light-colored clothing at night.

B) The additional information needed will be the population percentage of all pedestrians both those killed and those not killed who wore light-colored and dark colored clothing at night.

Answer:

13 and 27

Step-by-step explanation:

27-13=14

13+27=40

Answer:

15 nickels and 13 dimes

Step-by-step explanation:

5n + 10d = 205 cents

n + d = 28

n = 28-d

5(28-d) +10d = 205

140 -5d + 10d = 205

5d = 65

d = 13

n = 28-d = 28-13 = 15

5n = 5(15) = 75

10d = 10(13) = 130

75+130=205

Answer:

6.11753349 × [tex]10^1^6[/tex]

Step-by-step explanation:

Raise  17  to the power of  12 .

f(x) = 105 ⋅ 582622237229761

Multiply  105  by  582622237229761 .

f ( x )  =  61175334909124905

Move the decimal so there is one non-zero digit to the left of the decimal point

6.11753349 × [tex]10^1^6[/tex]

Hope this helps :)

Answer:

Step-by-step explanation:

Part A:

Rate of pay for David = [tex]\frac{\text{Change in earnings}}{\text{Change in hours worked}}[/tex]

                                            = [tex]\frac{3700-3200}{140-120}[/tex]

                                            = $25

Part B:

If he worked for number of hours = x

Then the function representing the earning will be,

f(x) = 25x + b

For an ordered pair (120, 3200),

3200 = 25(120) + b

b = 3200 - 3000

b = 200

Therefore, function will be,

f(x) = 25x + 200

Part C:

"Slope = 25" means the rate of change in earnings per hour is $25.

Similarly, y-intercept 'b = 200' will represent the fixed amount earned by David in addition to the per hour earnings.

Answer:

18

Step-by-step explanation:

Answer: 18, 21, 24, 27, 30

Step-by-step explanation:

Answer:

1. g < 8

2. d ≤ 6

Answer: The correct answer is (5, 3)

Step-by-step explanation: I got it right on the exam

(5,3) will make a rhombus.

A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.

Let D have coordinate (x,y)

The length of all the sides of the rhombus is equal.

length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]

Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)

CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)

We know BD = CD gives,

[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]

By squaring both sides and solving we get,

3y - x = 4 ----------------------(3)

Since BCD is a right-angled triangle,

[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]  

BC = [tex]\sqrt{10}[/tex]

10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]

8  = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)

solving equation (3) and (4) we get x = 5 and y = 3

TO Learn more about Rhombus visit:

https://brainly.com/question/2456096

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Answer:

3650

Step-by-step explanation:

Answer:

49c2

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

Answer:

I think its 10 mi

Step-by-step explanation:

Please let me know if I'm wrong!

Answer:

The answer is below

Step-by-step explanation:

Let s(t) represent the amount of salt in the tank at time t. Therefore:

ds / dt = (rate of salt flowing into the tank) - (rate of salt going out of the tank)

[tex]\frac{ds}{dt}=[(0.08\ kg/L*6\ L/min)+(0.09\ kg/L*5\ L/min)]-(\frac{s\ kg}{1000\ L}*11\ L/min ) \\\\\frac{ds}{dt}=(0.48\ kg/min+0.45\ kg/min)-(\frac{11s}{1000}\ kg/min )\\\\\frac{ds}{dt}=0.93\ kg/min-\frac{11s}{1000}\ kg/min \\\\\frac{ds}{dt}=\frac{930-11s}{1000}\ kg/min \\\\\frac{ds}{930-11s}=\frac{1}{1000}dt\\\\Integrating:\\\\\int\limits { \frac{ds}{930-11s}} \, ds=\int\limits {\frac{1}{1000}} \, dt\\\\-\frac{1}{11}ln(930-11s)=\frac{t}{1000}+C\\\\multiply\ through\ by\ -11:[/tex]

[tex]ln(930-11s)= - \frac{11t}{1000}+A\\\\Take \ exponential:\\\\930-11s=e^{ - \frac{11t}{1000}+A}\\\\930-11s=C_1e^{ - \frac{11t}{1000}}\\\\11s=930-C_1e^{ - \frac{11t}{1000}}\\\\s=\frac{930-C_1e^{ - \frac{11t}{1000}}}{11} \\\\To \ find\ C_1,s(0)=0.Hence:\\\\0=\frac{930-C_1e^{ - \frac{11(0)}{1000}}}{11} \\\\0=930-C_1\\\\C_1=930\\\\s(t)=\frac{930-930e^{ - \frac{11t}{1000}}}{11} \\\\s(t)=930(\frac{1-e^{ - \frac{11t}{1000}}}{11})[/tex]

A) So, the required value is [tex]1.01-\frac{11S}{1000}[/tex].

B) The required value is [tex]\frac{1010}{11} (1-e^{-11/1000t} )[/tex]

A differential equation is an equation that contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable).

                                                    [tex]\frac{dy}{dx} =f(x)[/tex]

(A) Let [tex]S(t)[/tex] denotes the number of kg of the salt in the tank at the time [tex]t[/tex] minutes.

Then,

[tex]\frac{ds}{dt}=[/tex](rate of salt in to tank)-(rate of salt of tank)

[tex]\frac{ds}{dt}=\left ( 0.08\times 0.09\times 5 \right )-\left ( \frac{s\left (t\right )}{1000}\times 11 \right ) \\ \therefore \frac{ds}{dt}=1.01-\frac{11S}{1000}[/tex]

(B)

[tex]\frac{ds}{dt}=\frac{101}{100}-\frac{11S}{1000} \\ \Rightarrow \frac{ds}{dt}=\frac{1010-11S}{1000} \\ \Rightarrow \frac{ds}{1010-11S}=\frac{dt}{1000}[/tex]

Integrating we get,

[tex]-\frac{1}{11}I_n|1010-11S|=\frac{t}{1000}+In \ C_1 \\ \Rightarrow 1010-11S=C_1e^{-11/1000t} \\ S(t)=\frac{1010-C_1e^{-11/1000t}}{11}[/tex]

Initially, [tex]S(0)=0\\\Rightarrow C_1=1010[/tex]

Then the required solution is,

[tex]\therefore S(t)=\frac{1010}{11} (1-e^{-11/1000t} )[/tex]

Learn more about the topic of Differential Equation: https://brainly.com/question/24546081

Step-by-step explanation:

The total is 37000.

Hope it helps for your education

Simplify answer

Answer:

$22.50

Step-by-step explanation:

3 weeks = 21 days

21 × 1 + 1.50

21 + 1.50

22.50

Answer:

the minimum number of bits needed for quantization is 7

Step-by-step explanation:

Given the data in the question;

if quantization is Δv, then the maximum quantization Error is Δv/2

now if we split up the whole range  from -[tex]m_{p}[/tex] to [tex]m_{p}[/tex] evenly into L levels, so

Δv = [tex]2m_{p}[/tex] / L

Δv / 2 = [tex]m_{p}[/tex] / L

given that the error must be at most 1% of [tex]m_{p}[/tex],

1%[tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L

1/100 × [tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L

100 = L

now L must be a factor of 2 to be binary encoded,

so lets consider;

L = 128

2ⁿ = 128¹

2ⁿ = 2⁷

n = 7

Therefore, the minimum number of bits needed for quantization is 7

Answer:19.625

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

y=-9x+51

Step-by-step explanation:

-9x+45=y-6

add 6 to both sides to get

-9x +51=y

Answer:

Step-by-step explanation:

Draw a picture! You get a right triangle with vertical leg = 17,000 ft, and you want to find the hypotenuse.

sin(21°) = 17,000/hypotenuse

hypotenuse = 17,000/sin(21°) = 47,437.3 ft

Answer:

x=19

Step-by-step explanation:

2x - 8 = 30

get x by itself by adding 8 to both sides

2x=38

divide by 2

x=19