Answer:
Step-by-step explanation:
its B
Answer:
B
Step-by-step explanation:
what is 6745.02 in words
Answer:
six thousand seven hundred fourty five point zero two
Step-by-step explanation:
Answer:
Six thousand, seven hundred and forty-five point zero two
6000 = Thousands
700 = hundreds
40 = tens
5 = ones
NB: Every number after the decimal point is mentioned individually
an obese man, 5'0 tall and 160 pounds, sets a long-term goal to lose 40 pounds. What is a reasonable benchmark he might set for himself
Answer: Lose 10 pounds in 3 months
Step-by-step explanation: 5'0, 160, 40 ~ 10 > 3 Months
(q3) Find the x-coordinates of the points of intersection of the curves y = x3 + 2x and y = x3 + 6x – 4.
The x - coordinate of the point of intersection of the curves is
x = 1.
How to determine he points of intersection of the curvesTo find the x-coordinates of the points of intersection of the curves
y = x³ + 2x and
y = x³ + 6x - 4
we equate both equations and solve for x.
Setting the equations equal
x³ + 2x = x³ + 6x - 4
2x = 6x - 4
Subtracting 6x from both sides
-4x = -4
Dividing both sides by -4, we find:
x = 1
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jamie used a microscope to measure the diameter of a hair. she found that the diameter of the hair was 0.000072 meter. how is this number written in scientific notation
Answer:
7.2x10^-5
Step-by-step explanation:
you count to the right 5 zero's making your number a negative and you have five zeros making it 7.2x10 to the -5th power
Answer:
is A
Step-by-step explanation:
i did the test and i got it wrong but have the answer
PLS HELPPPPPPPPPPPPPPPPP Given 3
Answer:
wht the question you need answer
If two events, event a with probability p(a) and event b with probability p(b) are complementary events then __________.
If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.
P(A) + P'(A) = 1
The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.
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17. Alexis has a painting presently valued at $2000. An art dealer told her the painting would
appreciate at a rate of 8% each year. In how many years will the painting be worth $5000?
Round your answer to the nearest tenth.
Show work please
Answer:
18.8 years
Step-by-step explanation:
8% of $2000 = $160
To be worth $5000, the painting need to rise by $3000
And every year it rise by $160, so it will need 3000 : 160 = 18.75 (round to 18.8) years.
The sum of two numbers is 3 more than four times the first number. Their difference is 10 less than twice the second number. Find each of the numbers.
Answer:
x=1/8
y=27/8
Step-by-step explanation:
First number=x
Second number=y
x+y=4x+3
x-y=2y-10
5. Find all solutions of the equation: 2 2 sin²0 + sin 0 - 1 = 0 on the interval [0, 2π)
The solutions to the equation 2sin²θ + sinθ - 1 = 0 on the interval [0, 2\(\pi\)) are θ = \(\pi\)/6 and θ = 7π/6.
To find the solutions of the given equation, we can use the quadratic formula. Let's rewrite the equation in the form of a quadratic equation: 2sin²θ + sinθ - 1 = 0.
Now, let's substitute sinθ with a variable, say x. The equation becomes 2x² + x - 1 = 0. We can now apply the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).
In our case, a = 2, b = 1, and c = -1. Substituting these values into the quadratic formula, we get x = (-1 ± √(1 - 4(2)(-1))) / (2(2)).
Simplifying further, x = (-1 ± √(1 + 8)) / 4, which gives x = (-1 ± √9) / 4.
Taking the positive square root, x = (-1 + 3) / 4 = 1/2 or x = (-1 - 3) / 4 = -1.
Now, we need to find the values of θ that correspond to these values of x. Since sinθ = x, we can use inverse trigonometric functions to find the solutions.
For x = 1/2, we have θ = π/6 and θ = 7π/6, considering the interval [0, 2π).
Therefore, the solutions to the equation 2sin²θ + sinθ - 1 = 0 on the interval [0, 2π) are θ = π/6 and θ = 7π/6.
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What is $23.02 times 10 ($23.02 X 10)?
In order to calculate the value of 23.02 times 10, we just need to move the decimal point 1 place to the right.
So we have that:
\(23.02\cdot10=230.2\)So the result of $23.02 times 10 is $230.20.
find the lateral area and surface area of a triangular prism with a height of 6 inches and a right triangular base with legs of 9 inches and 12 inches. round to the nearest tenth, if necessary.
Answer:
Lateral surface area is 216 in²Total surface area is 324 in²----------------------
Find the hypotenuse c of the base using Pythagorean theorem:
\(c=\sqrt{a^2+b^2}\)\(c=\sqrt{9^2+12^2} =\sqrt{81+144}=\sqrt{225} =15\)Lateral surface area, three rectangular faces, is:
LSA = Ph = (9 + 12 + 15)*6 = 36*6 = 216Find base area, the area of two right triangles:
A = 2*(1/2)(9)(12) = 108Find total surface area:
TSA = LSA + Base areasTSA = 216 + 108TSA = 324A square pyramid and its net are shown below. What is the surface area of the pyramid?
17 cm
16 cm
Type the answer in the box.
square centimeters
17 cm
16 cm
...15 sm
15 cm.
Check the picture below.
so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.
\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)
Hoy vamos de excursión con la escuela y nos ha tocado hacer los bocadillos para toda la clase. Si para hacer los bocadillos para mis 4 hermanos gastamos 2 barras de pan, ¿cuántas barras de pan necesitaremos para hacer los bocadillos de los 24 alumnos que hay en clase?Regla de tres
Answer:
12barras
Step-by-step explanation:
Hoy vamos a hacer una excursión con la escuela y tuvimos que hacer sándwiches para toda la clase. Si gastamos 2 hogazas de pan para hacer sándwiches para mis 4 hermanos, ¿cuántas hogazas de pan necesitaremos para hacer sándwiches para los 24 estudiantes de la clase?
De la pregunta anterior:
4 personas = 2 barras de pan
24 personas = x
Multiplicar cruzada
4 × x = 24 × 2 barras de pan
x = 24 × 2 barras de pan / 4
x = 12 barras de pan
Please help! I will mark as brainliest IF answer is right. <3
Answer:
It point (-5,-3) lie on line y =mx-9
then it also satisfy the equation of line
\( - 3 = ( - 5) \times m - 9\)
\(m = - \frac{6}{ 5} \)
So the equation will be
\(y = ( \frac{ - 6}{5} )x - 9\)
Hope it helps you
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uppose you have a valid argument with all false premises. Given this information, what do you know about the argument's conclusion?
Having a valid argument with all false premises does not provide any information about the argument's conclusion.
If you have a valid argument with all false premises, then nothing can be said about the argument's conclusion.
This is because the conclusion is only valid when the premises of the argument are true.
In other words, if the premises are false, then the conclusion could be true or false.
In logic, the validity of an argument refers to the logical connection between the premises and the conclusion.
If the premises are true, then the conclusion of the argument must be true.
However, if the premises of an argument are false, then it is impossible to determine the validity of the argument, as the conclusion could be either true or false.
Therefore, having a valid argument with all false premises does not provide any information about the argument's conclusion.
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To find the quotient of 4 divided by one-fifth, multiply 4 by
Answer:
5
Step-by-step explanation:
4 divided by 1/5
if you want to find the answer you should flip the second fraction so theat you multiply 4 by 5
Answer:
5 I think
Step-by-step explanation:
If z is directly proportional to the product of x and y and if z is 10 when x is 4 and y is 5, then x, y, and z are related by the equation
The equation relating x, y, and z is:
z = 0.5 * x * y.
In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.
To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.
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As a town gets smaller, the population of its high school decreases by 7% each year. The senior class has 320 students now. In how many years will it have about 100 students? Write
an equation. Then solve the equation without graphing.
Write an equation to represent this situation. Let n be the number of years before the class will have 100 students.
(Type an equation using n as the vanable. Use integers or decimals for any numbers in the equation)
Help again please
Therefore, in about 15 years and 2 months, the senior class will have about 100 students.
What is equation?An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.
Given by the question.
Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).
Then, we can write the following equation to represent the situation:
P\((1-r)^{n}\) = 100
We know that the current population of the senior class is 320, so we can substitute these values into the equation:
320\((1-0.07)^{n}\) = 100
Simplifying the equation, we get:
\(0.93^{n}\) = 0.3125
Taking the natural logarithm of both sides, we get:
n ln (0.93) = ln (0.3125)
Dividing both sides by ln (0.93), we get:
n = ln (0.3125) / ln (0.93)
Using a calculator, we find that n is approximately equal to 15.21 years.
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the population of adamsville grew from 8000 to 14000 in 6 years. assuming uninhibited exponential growth, what is the expected population in an additional 5 years?
The expected population in Adamsville, assuming uninhibited exponential growth, is approximately 20470 in an additional 5 years.
To estimate the expected population in an additional 5 years, assuming uninhibited exponential growth, we can use the exponential growth formula:
P(t) = P₀ * \(e^{(r * t)\),
where:
P(t) is the population at time t,
P₀ is the initial population,
e is the base of the natural logarithm (approximately 2.71828),
r is the growth rate,
t is the time interval.
Given that the population of Adamsville grew from 8000 to 14000 in 6 years, we can calculate the growth rate (r):
r = ln(P(t) / P₀) / t
= ln(14000 / 8000) / 6
≈ 0.229
Now, we can use this growth rate to estimate the expected population in an additional 5 years (t = 5):
P(5) = P₀ * \(e^{(r * t)\)
= 8000 *\(e^{(0.229 * 5)\)
≈ 20470
Therefore, the expected population in an additional 5 years would be approximately 20470.
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Please please thank you
Answer:
option 2
452.16
You would need to use this equation...
V=πr²h
3.14 * (4)² * 9
= 452.16 cm³
derive an equation that relates the initial release height hx of block x and the speed vs of the two-block system after the collision in terms of mx , my , and fundamental constants, as appropriate.
The law of conservation of energy and momentum can be used to construct the equation that connects the initial release height of block x (hx) and the speed of the two-block system following the collision (v s).
Block x's initial kinetic energy (0.5 * m x * v x2) and potential energy (m x * g * hx) are both equal to the total kinetic energy of both blocks after the collision (0.5 * (m x + m y) * v s).
Combining everything, we get the following equation:
m x * g * hx + 0.5 * m x * v x2 = 0.5 * (m x + m y) * v s2.
where g is the acceleration brought on by gravity, v x is the starting speed of block x, and m x and m y are the masses of blocks x and y.
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In the context of intergroup sources of power, _____ are activities that other groups depend on to complete their tasks.
In the context of intergroup sources of power, dependencies are activities that other groups depend on to complete their tasks.
Dependencies refer to the specific tasks or activities that one group relies on another group to fulfill. These dependencies create interdependencies between groups, establishing power dynamics and influencing the relationships between them. When one group possesses certain dependencies that are crucial for the functioning or success of other groups, it can leverage these dependencies to gain power and influence within the intergroup dynamics. For example, if Group A is responsible for providing essential raw materials that Group B needs to manufacture their products, Group A holds a dependency advantage over Group B. Group B is reliant on Group A's timely and reliable provision of the raw materials to carry out their production processes. In this scenario, Group A can use their control over the supply of raw materials as a source of power to negotiate favorable terms, pricing, or other concessions from Group B. The dependency of Group B on Group A's resources strengthens the power position of Group A within the intergroup relationship.
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The bearings of ships A and B from a port P are 225° and 116° respectively. Ship A is 3.9km from ship B on a bearing of 258°.
Calculate the distance of ship A from P.
Please show workings and diagrams.
Answer:
2.54 kmStep-by-step explanation:
See the attached
All given details are reflected in the diagram (not to scale)
PA is at 225°, PB is at 116°, BA is at 258°AB = 3.9 kmAP = xm∠P = 225° - 116° = 109°m∠A = 258° - 225° = 33°m∠B = 180° - (109° + 33°) = 38°Use the law of sines:
x/ sin 38° = 3.9 / sin 109°x = 3.9 sin 38° / sin 109°x = 2.54 km (rounded)Please help me with this homework
Answer: the answer for the homework is >
Answer:
The answer is I3I
Step-by-step explanation:
Well, anything that's a negative number it less than the positive numbers and the absolute value of three is grader than negative 2.download the document below and complete the proof of the triangle sum theorem. once completed, save the file for upload at the bottom of this page.
The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.
The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.
The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.
Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.
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Find the sum-of-products expansions of the the following Boolean functions:a) F(x,y,z)=x+y+zb) F(x,y,z)=(x+z)yc) F(x,y,z)=xd) F(x,y,z)=xy^
a) F(x,y,z) = xy'z + xy'z' + xyz + xyz' + x'yz + x'yz' + x'y'z + x'y'z'
b) F(x,y,z) = xy + xz'y + x'yz'
c) F(x,y,z) = xy'z' + xyz' + x'yz
d) F(x,y,z) = xy'z + xyz' + x'yz + x'y'z
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write an equation in slope-intercept form of the line that bisects the angle formed by BA and BC
Given:
Angled formed by ray BA and ray BC is 90 degrees.
To find:
The equation of line that bisects the angle formed by ray BA and ray BC.
Solution:
If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.
It is possible if the line passes though point B(-1,3) and other point (-2,4).
Equation of line is
\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)
\(y-3=\dfrac{4-3}{-2-(-1)}(x-(-1))\)
\(y-3=\dfrac{1}{-1}(x+1)\)
\(y-3=-x-1\)
Add 3 on both sides.
\(y=-x-1+3\)
\(y=-x+2\)
Therefore, the required equation of line is \(y=-x+2\).
Evaluate the algebraic expression for the given values of x = 3 and y = 4. Tx - 2y - 1 = I
Answer:
7 or -9, dependent on if 2y is or is not negative
Step-by-step explanation:
If 2y is NOT negative
2(4)-1=i
8-1=i
i=7
If 2y IS negative
-2(4)-1=i
-8-1=i
i=-9
Find the slope of the line
Answer:
-1/4
Step-by-step explanation:
take two points (0, -2) & (-4, -1)
use the slope formula
(y₂ - y₁) / (x₂ - x₁)
(-1 + 2) / (-4 - 0) = 1/-4
y = -1/4x + b
slope is -1/4
which type of equation is this 4x-3=y
Answer:linear
Step-by-step explanation:
linear