50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
D
Step-by-step explanation:
The formula of a cube is s*s*s
We know the side length of the first cube is 3, so the volume is 27. We know the side length of the second cube is 7, so the volume is 343.
What are the exact solutions of x2 − 3x − 5 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a? Group of answer choices x = the quantity of 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 11 all over 2 x = the quantity of 3 plus or minus the square root of 11 all over 2
The exact solutions of the Quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2 ,x = (3 - √29) / 2. The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
The exact solutions of the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we can identify the values of a, b, and c, and substitute them into the formula:
a = 1
b = -3
c = -5
Now, we can apply the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values into the formula:
x = (-(−3) ± √((−3)^2 - 4(1)(−5))) / (2(1))
x = (3 ± √(9 + 20)) / 2
x = (3 ± √29) / 2
Therefore, the exact solutions of the quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2
x = (3 - √29) / 2
The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
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if the function is f(x) = 332(0.95)^t what is the the Initial Value and Rate of Change as a Percent
The initial Value of the function is 332.The rate of change of the function is -5%.
In the given function f(x) = 332(0.95)^t, where t represents time, we can determine the initial value and the rate of change as a percent.
1. Initial Value:
The initial value refers to the value of the function when the independent variable (t) is equal to zero. In this case, when t = 0, the function becomes:
f(0) = 332(0.95)^0
f(0) = 332(1)
f(0) = 332
Therefore, the initial value of the function is 332.
2. Rate of Change as a Percent:
The rate of change represents how the function changes over time. In this case, the function is an exponential decay function because the base (0.95) is less than 1.
To determine the rate of change as a percent, we can look at the exponent of the base (0.95). In the given function, the exponent is represented by the variable t. The base (0.95) is multiplied by itself t times.
The rate of change is calculated by subtracting 1 from the base and multiplying by 100% to express it as a percentage. In this case:
Rate of Change = (0.95 - 1) * 100%
Rate of Change = (-0.05) * 100%
Rate of Change = -5%
Therefore, the rate of change of the function is -5% (exponential decay).
- The initial value of the function is 332.
- The rate of change of the function is -5% (exponential decay).
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Help me with this x^2 + 4x - 21
The pair of factors to factor the expression are 7 and -3
How to determine the pair of factors to factor the expressionFrom the question, we have the following parameters that can be used in our computation:
x² + 4x - 21
To determine the pair of factors to factor the expression, we find two expressions
That must add up to 4xThat must mutiply to -21x²using the above as a guide, we have the following:
The expressions are 7x and -3x
So, we have
x² + 4x - 21 = x² + 7x - 3x - 21
When factored, we have
x² + 4x - 21 = (x + 7)(x - 3)
Hence, the pair of factors to factor the expression are 7 and -3
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omplete the paragraph proof.
Given: and are right angles
Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C
Prove: Line A R bisects Angle B A C
Triangles A B R and R C A share side R A. A line is drawn from point B to point C and intersects side A R at point P.
It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).
Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.
Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.
With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.
This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.
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PLEASE HELP ON QUESTION ASAP !
Hi please help on question.If you get answer correct is be willing to give brainliest,a thanks, five stars and 10pts.
My question:
As an analogy of a circuit with resistance, think of an obstacle race . Which parts of a circuit do the obstacles represent? which part of the circuit do the people respresent?
The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:
Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.
Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.
People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.
The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.
Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
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Raymond and Beth, both teachers, are adding books to their class libraries. Raymond's classroom started out with a collection of only 10 books, but he plans to purchase an additional 2 books per week. Beth's library started out with 30 books, and she has enough money in her budget to purchase another 1 book per week. At some point, the two teachers' libraries will contain the same number of books. How many weeks will that take?
It will take 20 weeks for Raymond and Beth's libraries to have the same number of books.
To determine the number of weeks it will take for Raymond and Beth's libraries to contain the same number of books, we need to set up an equation based on their book acquisition rates.
Let's assume the number of weeks it takes for their libraries to have the same number of books is 'x'. Raymond starts with 10 books and adds 2 books per week, so his total number of books after 'x' weeks is 10 + 2x. Similarly, Beth starts with 30 books and adds 1 book per week, resulting in a total of 30 + x books after 'x' weeks.
Since we want their libraries to contain the same number of books, we can set up the equation: 10 + 2x = 30 + x.
Simplifying the equation, we subtract 'x' from both sides: x = 30 - 10.
Therefore, x = 20.
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7x+y=-1 converted to slope intercept form
Please help ASAP
Compare -2.3 and -8/3 using symbols <, >, or =
Answer:
to compare -2.3 and -8/3, we need to put them in the same form. We can convert -8/3 to a decimal by dividing -8 by 3, which gives us -2.66667.
Now we can see that -2.3 is greater than -2.66667, so we can write -2.3 > -8/3.
Step-by-step explanation:
Don't worry I can help.
Mathmetics isn't easy. so study
A group of identical ceramic ball bearings each have a radius of 0.25
inch. One cubic inch of ceramic has a weight of 2
ounces. What is the weight of 200
ceramic ball bearings rounded to the nearest ounce? Use 3.14
for π
The weight of 200 ceramic ball bearings is approximately 26 ounces.
To calculate the weight of 200 ceramic ball bearings, we need to find the weight of a single ball bearing and then multiply it by the number of ball bearings.
The volume of a single ball bearing can be calculated using the formula for the volume of a sphere: V = (4/3) * π * r^3, where r is the radius.
For a ball bearing with a radius of 0.25 inch, the volume is V = (4/3) * 3.14 * (0.25)^3 = 0.0654 cubic inches.
Since 1 cubic inch of ceramic weighs 2 ounces, the weight of a single ball bearing is 0.0654 * 2 = 0.1308 ounces.
To find the weight of 200 ball bearings, we multiply the weight of a single bearing by the number of ball bearings: 0.1308 * 200 = 26.16 ounces.
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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 25,835 miles, with a variance of 18,207,290.
What is the probability that the sample mean would differ from the population mean by less than 104 miles in a sample of 89 tires if the manager is correct? Round your answer to four decimal places.
Carla sprinted 9 1/6 laps and then took a break by jogging 6 laps. How much farther did Carla sprint than jog?
The difference between the sprinting and jogging of Carla is 3 1/6 laps.
What is the difference between the sprinting and jogging of Carla?The difference between the sprinting and jogging of Carla is calculated as follows;
The total distance sprinted = 9 1/6 laps
The total distance jogged = 6 laps
To find the difference between the sprinting and jogging, we will convert the mixed fraction into improper fraction as follows;
9 1/6 laps = 55/6 laps = 9.167 laps
The difference between the sprinting and jogging of Carla is;
= 9.167 laps - 6 laps
= 3.167 laps = 3 1/6 laps
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9. (U5C5L38:V1)
is a system formed to maintain peace among nations in
which participant members agree that a military attack on one is an attack on all and will result
in a united response by all members.
A)Collective security
B)Globalization
C)Multinationalism
D)The United Nations
Collective security is a system formed to maintain peace among nations in which participant members agree that a military attack on one is an attack on all and will result in a united response by all members.
option A.
What is collective security?Collective security can be understood as a security arrangement, political, regional, or global, in which each state in the system accepts that the security of one is the concern of all, and therefore commits to a collective response to threats to, and breaches of peace.
So the concept of collective security replaces the one of military alliances between States, which prevailed until World War II, to ensure the collective defense of a State by its allies in case of aggression by another State.
Thus, Collective security is a system formed to maintain peace among nations in which participant members agree that a military attack on one is an attack on all and will result in a united response by all members.
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Stephanie has a spinner with sections labelled 1, 2 and 3.
She spun it 100 times and recorded how many times it landed on each section in
the table below.
Work out the relative frequency of landing on an odd number, giving your answer
as
a) a fraction in its simplest form.
b) a decimal.
Section
1
Frequency 17
2
20
3
63
Answer:
[tex]\frac{4}{5}[/tex]
0.8
Step-by-step explanation:
Happy to help:)
Identify the vertex of the graph. Tell whether it is a minimum or a maximum.
The vertex of the graph is (0,-2); minimum value.
Given that;
The graph of the quadratic function.
Now, We need to determine the vertex of the graph and also determine whether it is a minimum or maximum value.
Vertex:
The vertex of the parabola is the point at which the parabola makes a turn to form a U - shaped graph.
Hence, from the figure, the parabola turns at the point (- 1, 1) to form a U - shaped graph.
Therefore, the vertex of the graph is (- 1, 1)
Minimum or maximum value:
When the parabola is open upwards, then the vertex is the lowest point on the graph which is the minimum value on the graph.
Thus, the graph has a minimum value.
Hence, the vertex of the graph is (0,-2); minimum value.
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3 to the power of 5 = 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Step-by-step explanation:
3^6 = 3 * 3^5
= 3 * 243 = 729
Based on the given diagram, complete the sentence below.
The point D is called Incenter of ΔABC, because AD, BD and CD are the angle bisector.
Given is a triangle ABC and there are angle bisectors AD, BD and CD which are meeting at point D, we need to identify the name of the point D,
So,
The incenter of a triangle is the point where the three angle bisectors of the triangle intersect.
It is the center of the incircle, which is the largest circle that can be inscribed inside the triangle.
The incenter is equidistant from all three sides of the triangle.
Hence the point D is called Incenter of ΔABC, because AD, BD and CD are the angle bisector.
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A spaceship is ominously circling Timmy's house at a distance of 200 meters. If the spaceship takes 5 seconds to travel a 90° arc around the house, how fast is it traveling?
The speed of the spaceship is 62.8 meters per second.
How fast is it traveling?We can define speed as the quotient between distance and time.
Remember that the length of an arc of an angle x, in a circle of radius R is:
L = (x/360°)*2*π*R²
Where π = 3.14
Here we know that the time is 5 seconds, and the distance is the lengt of an arc of 90° in a circle of 200 meters, the length of that arc is:
L = (90°/360°)*2*3.14*200m = 314 meters.
Then the speed of the spaceship is given by:
S = 314m/5s = 62.8 meters per second.
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The pole forms a 50° angle with the ground. How many feet, to the nearest tenth of a foot, is the base of the pole from the house?
O 6.0 feet
O 7.7 feet
O 8.5 feet
- 9.2 feet
To the nearest tenth of a foot, the base of the pole is approximately 9.2 feet from the house, corresponding to option 9.2 feet.
To find the distance from the base of the pole to the house, we can use the trigonometric function sine (sin). Since we know the angle between the pole and the ground is 50 degrees, we can use the formula:
sin(∠) = opposite/hypotenuse
In this case, the opposite side is the distance we are trying to find (base of the pole from the house) and the hypotenuse is the length of the pole, which is given as 12 feet.
sin(50°) = opposite/12
We can rearrange the equation to solve for the opposite side:
opposite = 12 * sin(50°)Using a calculator to evaluate the sine of 50 degrees, we find:
opposite ≈ 9.162 feet
Among the given options, the measurement closest to the value of the opposite side is 9.2 feet. Option 9.2 feet is the closest value.
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Which of these values for P and a will cause the function f(x)-Pa* to be an
exponential growth function?
A. P= 4; a = 1
B. P = ¹; a=
a=¹
D. P=1;a= 5
C. P = 4; a
The values for P and a that will cause the function f(x) = Pa^x to be an exponential growth function are:
C. P = 4; a = 5
D. P = 1; a = 4
How to find the values for P and a will cause the function f(x)-Pa* to be an exponential growth functionAn exponential growth function is characterized by the property that the base (a) of the exponential term is greater than 1 (a > 1). This is because the exponentiation of a number greater than 1 by increasing values of x leads to exponential growth.
Therefore, the values for P and a that will cause the function f(x) = Pa^x to be an exponential growth function are:
C. P = 4; a = 5
D. P = 1; a = 4
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which expression is equivalent to ln(e2x/x^3)
2x/3lnx
2x-2
(In(e^2x-x³)
2x-3lnx
Answer:
2x-2
Step-by-step explanation:
ln(e2x/x³)
as ln ex = x
thus, ln(e2x/x³) = 2x / x³
= 2x1-3 = 2x-2
Please help me out here!!!!
Answer:
59.3 °
Step-by-step explanation:
its trigonometry
so you have the
opposite side= 43.5
and the adjacent side = 24.8
if you use SOH CAH TOA you will find that to find y you need to use TOA as tou have the opposite and adjacent.
to find the angle (tan) you need to do tue opposite / adjacent
tan^-1 (43.5/25.8)
= 59.3 to 1 d.p.
you need to use tan^-1 as you are finding the missing angle
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer: I'm sure its A.=60 B=15 and C=i dont really know sorry
Step-by-step explanation:A - 6x10 B - 5x3 C - ?
PLEASE GIVE BRAINLIEST <33
Answers:
1: 245.04
A=2πrh+2πr2=2·π·3·10+2·π·32≈245.04423
2: 150.8
Formula: 2r² + 2rh
2 x 3 x 3 + 2 + 3 x 5 = 150.796447372
Rounded: 150.8
3: 892
Sides(Front & Back) #1: 17 x 4 x 2 = 136
Sides(Side) #2: 18 x 4 x 2 = 144
Bases(Bottom & Top): 17 x 18 x 2 = 612
3(x−2x2)+(x−2)(2x−1)
The simplified expression is: -2x - 4x^2 + 2.
simplify the given expression, 3(x-2x^2) + (x-2)(2x-1).
First, let's distribute the 3 into the first set of parentheses: 3x - 6x^2. Now, let's apply the distributive property to the second set of parentheses: (x-2)(2x-1) becomes 2x^2 - x - 4x + 2, which simplifies to 2x^2 - 5x + 2.
Now, combine the simplified expressions: (3x - 6x^2) + (2x^2 - 5x + 2). Add the corresponding terms: (3x - 5x) + (-6x^2 + 2x^2) + 2. This results in -2x - 4x^2 + 2.
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A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
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what's the answer to my problem
Step-by-step explanation:
5x and 120 are equal because they are vertical angles of two crossing lines
5x = 120
x = 24
it is attached below
The value of the missing length is 5.3
How to determine the valueTo determine the missing sides, we need to know the Pythagorean theorem, we have;
The Pythagorean theorem states that the square of the longest side of a triangle is equal to the sum of the squares of the other two sides of the triangle.
From the information given, we have that;
1.
8² = 6² + x²
find the squares, we have;
64 = 36 + x²
collect like terms
x² = 28
x = 5. 3 units
2. 8² = 6² + y²
find the squares
y² = 28
y = √28
find the square root
y = 5.3 units
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There are 24 members in a sports club. Use the Venn diagram below to
work out how many people in the club own both a bike and a surfboard.
Bike
21-y
y
Surfboard
15-y
3
The number of members of the club that own both bike and surfboard are 11.
Venn diagram:-
A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items. Often, they serve to graphically organize things, highlighting how the items are similar and different.
In the Venn diagram, (23-y) is the number of members that have bike only,( 11-y) is the number of members that have surfboard only and y is the number of both surfboard and bike. 3 members have none of bike and surboard.
therefore
26-3= 23-y+y+11-y
23= 23+11-2y+y
23= 34-y
collect like terms
y= 34-23
y= 11
Therefore the number of members that have both bike and surfboard are 11.
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F. Use the information below to find the mass of boxes 1, 2, 3, and 4.
The mass of box 1 is three times the mass of box 3.
The mass of box 5 is one-fourth the mass of box 4.
The mass of box 4 is two-thirds the mass of box 2.
The mass of box 2 is four-fifths the mass of box 1.
·
box 1
box 2
box 3
box 4
box 5
2 kilograms
Make sure your formatting is clear and easy to understand. Remember, it’s all about helping others understand the answer.
nation:
The area of a parallelogram
