Answer:
The circumcenter of a triangle is a point that is equidistant from all three vertices.
Step-by-step explanation:
What is equidistant from the vertices of a triangle?
The circumcenter of a triangle is a point that is equidistant from all three vertices.
What is the value of x in the figure shown below?
50?
I'm assuming 50 because the angles to a triangle always adds up to 180 and this one has 130 and 130+50=180
roslyn has twenty boxes. thirteen of the boxes contain pencils, nine of the boxes contain pens, and three of the boxes contain neither pens nor pencils. how many boxes contain both pens and pencils?
The number of boxes containing both pens and pencils is 2.
What is set?
A set is defined as a well-defined collection of distinct objects. It is denoted by the capital letters of the English alphabet. Its value remains the same for every individual.
Calculation for the number of boxes containing both pens and pencils
Total number of boxes is given by the union of two sets A and B; i.e. A∪B= 20
Boxes having pencils is given by the set A = 13
Boxes having pens is given by the set B = 9
Boxes having neither pens nor pencils, A'∩B' = 3
Boxes containing both pens and pencils are given by the intersection of the sets, A∩B
A∩B = A + B - A∪B
= 13 + 9 - 20
= 2
Hence, the number of boxes containing both pens and pencils is 2.
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A combination lock is to have 4 digits (using the numbers from 1 to 9 (ie No Zero)How many different combinations are there that have all different numbers.
Answer:
3024
Step-by-step explanation:
You have to think of this in choices. You have 9 choices for the first lock (because there are 9 numbers). We would have 9 choices for the second lock, but we used one number for the previous one. So we would have 8 choices. We would continue with 7 choices for the third lock and 6 for the fourth.
Multiplying this we get 9x8x7x6=3024
Can someone please help me
Answer:
>
Step-by-step explanation:
it says fewer, meaning 11 or below
Answer:
3rd symbol
Step-by-step explanation:
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x-4
h(x) = =x
h(x) = ÷x
Answer:
\(h(x) = \frac{1}{4} x\)
Step-by-step explanation:
\(f(x) = 4x\)
\(y = 4x\)
\(x = 4y\)
\(4y = x\)
\(y = \frac{1}{4} x\)
\(\boxed{\green{h(x) = \frac{1}{4} x}}\)
Help for final I’d appreciate it!
Answer:
y=76 degree(being vertically opposite angle)
y+x=180 degree(being linear pair)
76+x=180
x=180-76
x=104 degree
x=z(being vertically opposite angle)
104=z
therefore z=104 ,y=76,x=104
Step-by-step explanation:
Answer:
76° (alternate angles)
Step-by-step explanation:
F(x)=0.5x^2-2 and g(x)=8x^3+2
Answer:
(f*g)(x) = 4x⁵ - 16x³ + x² - 4
Step-by-step explanation:
To find (f*g)(x), you need to multiply f(x) with g(x). Use FOIL to multiply.
f(x) = 0.5x² - 2
g(x) = 8x³ + 2
(f*g)(x) = (0.5x² - 2)(8x³ + 2)
(f*g)(x) = 4x⁵ + x² - 16x³ - 4
(f*g)(x) = 4x⁵ - 16x³ + x² - 4
CAN SOMEONE DO ALL OF THE FIRST LONG BOX? ILL GIVE BRAINLIEST PLEASE IM RUSHING AND CRYING
Answer:
1). 2/8, 2/5, 2/4, 2/3
2). Fill in 2 of the boxes
3). C
4). Shade all of the first 2 boxes and half (2) of the 3rd
5). D
6). 43/56
Step-by-step explanation:
There are 44,000 adults living in Oak city in examining attitudes according to the news of research group as random sample of Oak city adults what is your main source of news the results are shown below based on the sample predict the number of adults in Oak city whose main source of the news is television on your answer to the nearest whole number do not run by any intermittent calculations
The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85
To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".
According to the sample data
Number of adults who answered "Newspapers": 64
Number of adults who answered "Radio": 21
Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition
64 + 21 = 85
Rounding this answer to the nearest whole number, we get
85 ≈ 85
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The given question is incomplete, the complete question is:
There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.
What is the value of 6(2b-4) when b=5?
Answer:
36
Step-by-step explanation:
Substitute b=5 to the expression:
=6(2(5)−4)
Evaluate inside the parentheses. Multiply 2 and 5 first:
=6(10−4)
Then subtract:
=6(6)
Finally, multiply:
=36
Answer: The value of 6(2b-4) when b=5 is 36.
Step-by-step explanation: Given expression: 6(2b-4). To find the value of 6(2b-4) at b= 5, we need to substitute the b=5 in the expression, we get….Therefore, the value of 6(2b-4) is 36, when b=5.
A line has a slope of -2/3and passes through the point (-3, 8). What is the equation of the line?
O y=-2/3x+6
o y=-2/3x+8
0 y = 6x-2 / 3
O y=8x - 2/3
Answer:
y = -2/3 + 6
Step-by-step explanation:
Slope = -2/3
Point (- 3, 8)
b = 8 - (-2/3)(-3)
= 8 - 2
= 6
100 points + Brainliest if fast, correct, and well explained:
Graph f(x) = 28(1.16)x. What is the constant percent rate of change of f(x) with respect to x? Does the graph represent growth or decay?
a: 16% decay
b: 16% growth
c: 84% growth
d: 84% decay
Answer: 84% Decay.
Step-by-step explanation:
The constant percent rate of change of the function is 16% growth
What is Exponential Function?An exponential function is a mathematical function of the following form: f ( x ) = \(a^x\). where x is a variable, and a is a constant called the base of the function.
Given:
The equation of the function
f(x) = 28\((1.16)^x\)
We know thar the exponential function is represented as
y =\(ab^x\)
Where b represents the growth or decay factor
So, we have
b = 1.16 which is greater than 1.
The percent rate of change is then calculated as
Rate = b - 1
Rate = 1.16 - 1
Rate = 0.16
Rate = 16%
Hence, the rate of change is 16% growth
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Find the value of X:
A. 24
B. 48
C. 40
D. 960
Answer:
B
Step-by-step explanation:
given a line parallel to a side of a triangle and intersecting the other 2 sides, then it divides those sides proportionally , that is
\(\frac{32}{x}\) = \(\frac{20}{30}\) = \(\frac{2}{3}\) ( cross- multiply )
2x = 3 × 32 = 96 ( divide both sides by 2 )
x = 48
explain why you would expect most overdetermined linear systems to be inconsistent. can an overdetermined linear system have one solution or infinitely many solutions? give examples.
As per the linear equation the system has one solution, which is x = 1 and y = 1.
A linear equation is a mathematical expression that represents a straight line. A linear equation has a set of variables, and the coefficients (numbers in front of the variables) are constant.
The reason why most overdetermined linear systems are inconsistent is that there are more restrictions placed on the variables than what is required to find a solution.
It is possible for an overdetermined linear system to have one solution, but this is a rare occurrence.
When an overdetermined system has infinitely many solutions, this means that there are an infinite number of combinations of values that satisfy all of the equations simultaneously.
For example, consider the following system of linear equations:
2x + 3y = 6
4x + 6y = 12
This system is overdetermined because there are two equations and only one variable (x and y). In this case, the system has one solution, which is x = 1 and y = 1.
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A good hypothesis: (select all that apply)
a. Is testable. b. Thing Contradicts prior hypotheses. c. Includes a null hypothesis. d. Considers current scientific knowledge.
A good hypothesis must be testable and consider the current scientific knowledge. Therefore, the correct options for the given question are (a) Is testable and (d) Considers current scientific knowledge.
n science, a hypothesis is a tentative assumption or prediction that explains or accounts for a set of observations. A hypothesis must be testable by conducting an experiment, conducting a survey, or gathering and analyzing data. Hypotheses that are untestable are considered unfalsifiable and fall outside the realm of scientific inquiry. A good hypothesis must have the following features:It should be clear, specific, and focused on a single problem.It should be testable and should have a defined test or experiment to prove it.It should be related to available knowledge and based on previously established facts.It should be concise and avoid jargon or technical language that might be difficult for others to understand. It should be falsifiable by evidence and must be subjected to empirical testing.
Thus, a good hypothesis is testable, considers current scientific knowledge, and is falsifiable by evidence.
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Tell whether the following function is linear. If so; graph the function: 2x + 3y = 5.
If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent. True or False?
The statement "If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent" is true.
Let's understand why?
Explanation:
An argument with a tautology conclusion is an argument that arrives at a conclusion that is always true, regardless of the truth values of the premises. In other words, it is impossible for the premises to be true while the conclusion is false.
This means that any attempt to find a counterexample that disproves the conclusion will always fail, as there is no possible scenario in which the conclusion is false.
The counterexample set of an argument is the set of all possible scenarios in which the premises are true but the conclusion is false. If the conclusion is a tautology, then there is no possible scenario in which the conclusion is false, and thus the counterexample set is empty. An empty counterexample set is equivalent to an inconsistent counterexample set, as it means that there is no consistent scenario in which the conclusion is false.
Therefore, if the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent.
Hence, the statement is true.
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Drag each tile to the correct box. Not all tiles will be used.
Consider function f.
Place the steps for finding in the correct order.
If the function is f(x) = √(7x – 21). Then the inverse function of the function will be f⁻¹(x) = (1/7) x² + 3.
What is inverse of a function?Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
f(x) = √(7x – 21)
Then the inverse function will be
x = √[7{f⁻¹(x)} – 21]
x² = 7f⁻¹(x) – 21
7f⁻¹(x) = x² + 21
f⁻¹(x) = (1/7) x² + 3
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A jar contains 22 marbles, of which 7 are blue, 8 are red, and the rest are green. What is the ratio of blue marbles to green marbles?
Answer:
green and blue marbles are same in number so their ratio will be 1
Step-by-step explanation:
total marbles = 22
red = 8
blue = 7
green = total - (red + blue) = 22 - (8 + 7) = 22 - 15 = 7
ratio of blue marbles to green marbles =
blue : green
7: 7 = 1
Which situation could be represented by -5x3?
A.
the total cost of 3 notebooks that cost $5 each
B.
the change in value of a bank account from 3 purchases of $5 each
C.
the distance traveled by a fish when it swims 5 meters per second for 3 seconds
D.
the change in temperature if it starts at negative 5 degrees and decreases by 3 degrees
Brainlist!
Show all steps and I will make you Brainlist.
Answer:
The height of the tree to the nearest foot is 75.
Step-by-step explanation:
The height is opposite the angle of elevation, and the 45 ft distance to the tree is adjacent to it.
tangent = opposite/adjacent
\(\frac{tan(59)}{1} = \frac{h}{45}\)
h = tan(59) * 45
h ≈ 74.89
To the nearest foot, 74.89 is 75 ft.
Write 320 g as a fraction of 2 kg. Give your answer in its simplest form.
Answer:
4/25
Step-by-step explanation:
Let's make the units the same :
2 kg = 2000 g
Now lets simplify this fraction :
Divide top and bottom by 2 until you can't :
320/2000 = 160/1000
160/1000 = 80/500
80/500 = 40/250
40/250 = 20/125
Now we divide top and bottom by 5 as 2 is not a factor of 125 :
20/125 = 4/25
This is our final answer
Hope this helped and brainliest please
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 40 N acts on a certain object, the acceleration
of the object is 10 m/s². If the force is changed to 36 N, what will be the acceleration of the object?
Answer:
The answer to your problem is, F = 15N
Step-by-step explanation:
You have: F = ka
Where F is the force acting on the object, A is the object's acceleration and is the constant of proportionality.
Which will be our letters that we will NEED to use for today.
You can calculate the constant of proportionality by substituting F = 18 and a = 6 into the equation and solving for k: Then we can now figure out the “ formula of expression “
18 = k6
k = \(\frac{18}{6}\)
K = 3
We would need to calculate the force when the acceleration of the object becomes 5 m/s², as following: F = 3 x 5 ( Basic math )
= F = 15
Thus the answer to your problem is, F = 15N
Please answer the question in the photo!
Answer:
I cant see the photo
Step-by-step explanation:
but the answer is 1
10) How many distinguishable permutations are there for the word “choice”
Answer: 720
Step-by-step explanation:
there are 6 letters in "choice"
and they must be permuted into 6 word letters:
6P6 = 720 distinct possibilities
if a=x+y and b=x-y ,show that (a-b)^2=4y^2
Step-by-step explanation:
\(((x + y) - (x - y) ){}^{2} = 4 {y}^{2} \)
\((2y) {}^{2} = 4 {y}^{2} \)
\( {2}^{2} {y}^{2} = {4y}^{2} \)
\(4 {y}^{2} = 4 {y}^{2} \)
Try It Another Way Work with your group to predict whether each equation is
a linear function. Then graph each equation on a separate sheet of paper. Describe
the results.
7 y = 0.5x + 2
8 y = 0.5x³
Because y = 0.5x + 2 is a first-degree polynomial with 1 as the highest power, it is a linear function. We obtain a straight line when we graph it.
what is linear function ?In mathematics, a linear function is a particular kind of function where the rate of change between the input (an independent variable) and the output is constant (dependent variable). In other words, when graphed on a coordinate plane, a linear function displays a straight line. A linear function's generic form is: y = mx + b where x is the independent variable, y is the dependant variable, b is the y-intercept (the point where the line crosses the y-axis), and m is the slope of the line (the rate of change). A linear function's slope, also known as rise over run, is defined as the change in y divided by the change in x.
given
Because y = 0.5x + 2 is a first-degree polynomial with 1 as the highest power, it is a linear function. We obtain a straight line when we graph it.
Because \(y = 0.5x^{3}/8\) is a third-degree polynomial with 3 as the maximum power of the variable x, it is not a linear function. We get a curve instead of a straight line when we graph it.
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How much of a radioactive kind of zinc will be left after 2 hours if the half-life is 1 hour and
you start with 259,288 grams?
grams
Answer:
64822
Step-by-step explanation:
Half-life model:
\(P=P_o* \left(\frac{1}{2}\right)^{\frac{t}{D}}\)
\(P_o\) is the initial value, D is the time taken for the quantity to reduce half-life and t is the given time period.
\(\sf P_o = 259,288 \ grams\\\\D = 1 \ hour\\\\t = 2 \ hours\)
\(P = 259,288*(\frac{1}{2})^\frac{2}{1}\\\\P = 259,288*(\frac{1}{2})^2\\\\P = 259,288*\frac{1}{4}\\\\P = 64822\)
how many times the size 0.81 is 810
Answer:
656.1
Step-by-step explanation:
0.81x810 (multiply)
Answer:
810/0.81= 1000
Step-by-step explanation:
Hi I hope this helped please mark as brainliest! :3
1 2 3 4 5 6 7 8 9 10TIME REMAINING16:36:24A coordinate grid with 2 lines. The first line is labeled y equals negative StartFraction 7 over 4 EndFraction x plus StartFraction 5 over 2 EndFraction and passes through the (0, 2. 5) and (2. 2, negative 1. 4). The second line is labeled y equals StartFraction 3 over 4 EndFraction x minus 3 and passes through (0, negative 3, 0. 14) and (2. 2, negative 1. 4)Which is the best approximate solution of the system of linear equations y = 1. 5x – 1 and y = 1?(0. 33, 1)(1. 33, 1)(1. 83, 1)(2. 33, 1)
The best approximate solution of the system of linear equations y = 1.5x - 1 and y = 1 is (1.33, 1).
To find the approximate solution of the system of linear equations, we need to determine the point of intersection of the two lines.
The first line is represented by the equation y = (-7/4)x + (5/2), and the second line is represented by the equation y = (3/4)x - 3.
By equating the two equations, we can solve for x:
(-7/4)x + (5/2) = (3/4)x - 3
Simplifying the equation, we get:
(-7/4)x - (3/4)x = -3 - (5/2)
(-10/4)x = -11/2
x = (11/2) * (4/10)
x = 2.2
Substituting the value of x back into either of the equations, we can solve for y:
y = (3/4)(2.2) - 3
y = 1
Therefore, the point of intersection of the two lines is approximately (2.2, 1).
Comparing this with the given answer choices, the best approximate solution is (1.33, 1).
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