The equation of the circle in the standard form is:
(x + 13)² + (y - 13)² = 4².
What is defined as the equation of the circle?The equation for a circle with (h, k) center and radius r is as follows:(x - h)² + (y - k)² = r².This is the equation's standard form. And thereby, if we learn the coordinates of the circle's center and radius, we can quickly find its equation.For the given question;
The centre of the circle lies at (-13, 13).
Thus, (h. k) = (-13, 13).
The radius 'r' of the circle is 4 units.
Put the values in the standard form.
(x - (-13))² + (y - 13)² = 4²
(x + 13)² + (y - 13)² = 4² is the (standard form)
Therefore, the equation of the circle with radius 4 in the standard form is represented as: (x + 13)² + (y - 13)² = 4²
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in the context of rm and range safety mitigation of risk is the ability
In the context of Range Safety and Risk Mitigation, the ability to detect, assess, and respond to potential hazards is essential.
Range safety and risk mitigation involve identifying and minimizing potential hazards associated with range operations, such as the launch or test of rockets, missiles, or unmanned aerial vehicles. To ensure safety, it is critical to have the ability to detect and assess potential hazards, such as debris, vehicle or equipment malfunctions, and human error. Once hazards have been identified and assessed, the next step is to develop and implement appropriate safety measures to mitigate the risk associated with those hazards. These measures may include the use of safety protocols, engineering controls, or administrative procedures to ensure that all personnel and equipment are protected. In summary, the ability to detect, assess, and respond to potential hazards is critical for effective range safety and risk mitigation. By implementing appropriate safety measures and protocols, the risks associated with range operations can be minimized, ensuring the safety of personnel and equipment.
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| 2x+3 |=5 how would I solve this?
Answer:
you a dummy boi
Step-by-step explanation:
because
24/5x=-11/4
this confusing
Answer:
1 Simplify \frac{24}{5}x
5
24
x to \frac{24x}{5}
5
24x
.
\frac{24x}{5}=-\frac{11}{4}
5
24x
=−
4
11
2 Multiply both sides by 55.
24x=-\frac{11}{4}\times 5
24x=−
4
11
×5
3 Use this rule: \frac{a}{b} \times c=\frac{ac}{b}
b
a
×c=
b
ac
.
24x=-\frac{11\times 5}{4}
24x=−
4
11×5
4 Simplify 11\times 511×5 to 5555.
24x=-\frac{55}{4}
24x=−
4
55
5 Divide both sides by 2424.
x=-\frac{\frac{55}{4}}{24}
x=−
24
4
55
6 Simplify \frac{\frac{55}{4}}{24}
24
4
55
to \frac{55}{4\times 24}
4×24
55
.
x=-\frac{55}{4\times 24}
x=−
4×24
55
7 Simplify 4\times 244×24 to 9696.
x=-\frac{55}{96}
x=−
96
55
Step-by-step explanation:
Which of the following are implicit assumptions associated with the use of factors? a The relationship is nonlinear b The dependent variable fully describes the cost being estimated c The relationship between the independent variable and the cost being estimated is linear d None of these are correct
The correct answer is c. The relationship between the independent variable and the cost being estimated is linear.
This is an implicit assumption associated with the use of factors because factors assume that there is a linear relationship between the independent variable and the cost being estimated. If the relationship is non-linear, then factors may not accurately predict future costs.
Factors are used to estimate costs by identifying the factors that are most likely to affect the cost and then using historical data to develop a relationship between those factors and the cost.
The relationship between the independent variable and the cost being estimated is assumed to be linear. This means that the cost will increase or decrease in a straight line as the independent variable increases or decreases. If the relationship is non-linear, then factors may not accurately predict future costs. For example, if the cost of a product is increasing at an increasing rate, then factors may not be able to accurately predict the cost of the product in the future.
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F(x)=7|x-2| at f(6)evaluate the function
Step-by-step explanation:
f(x) = 7|x - 2|
f(6) = 7|6 - 2| = 7|4| = 7.4 = 28
What value of will make the triangles similar by the similarity theorem?
As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.
Similarity theorem:
In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
Given,
Here we need to find the t value of will make the triangles similar by the similarity theorem.
For example, we are told that the 2 triangles are similar by SSS theorem.
Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem
Therefore, in the triangles ,applying the SSS postulate gives;
=> x/35 = 44/20
Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;
=> x = (44 * 35)/20
When we simplify this one then we get,
=> x = 77
Therefore, the value of x is 77.
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A company is offering a bank account. The value, in dollars, of the account, is represented by the function A(t)=50,000(1.02)^t, where t represents the number of years since the account was first opened. Determine the average rate of change of the account value from t = 0 to t = 5. Express your answer in the nearest cent. PLS HELP!!!
The average rate of change of the account value from t = 0 to t = 5 is the change in the account value divided by the change in time, or (A(5) - A(0))/(5 - 0).
We can substitute the given function into the equation:
A(t) = 50,000(1.02)^t
So,
A(5) = 50,000(1.02)^5
and
A(0) = 50,000(1.02)^0
Now we can substitute these values in the equation of average rate of change:
(A(5) - A(0))/(5 - 0) = (50000(1.02)^5 - 50000(1.02)^0) / (5-0)
This simplifies to
(50000(1.02)^5 - 50000) / 5
Which is approximately equal to 67,622.05
So the average rate of change of the account value from t = 0 to t = 5 is approximately 67,622.05.
68% of 948.37m give your answer rounded to 2dp
Answer:
644.89
Step-by-step explanation:
Answer: 644.89
Step-by-step explanation:
First, find 68% of 948.37
Then, round it to 2dp
You will get your answer.
An avid collector wants to purchase a signed basketball from a particular playoff game. He plans to put
away 4% more money each year in a safe at his home to save up for the basketball. In the sixth year, he
puts $580 in the safe and realizes that he has exactly enough money to purchase the basketball.
To the nearest dollar, how much did the collector pay for the signed playoff basketball?
Answer:
A: $476.72
B: $3162
Step-by-step explanation:
What is the y-intercept of the function f(x) = -2/9x + 1/3?
Answer:
The y intercept would be (0, 1/3)
The number at the end is always the y value. In a y intercept x is always 0.
What are the 3 basic inverse trigonometric functions?
The three basic inverse trigonometric functions are arcsine (or inverse sine), arccosine (or inverse cosine), and arctangent (or inverse tangent).
Inverse trigonometric functions are the reverse of the trigonometric functions. They are used to solve problems involving angles or lengths in a right triangle. The three basic inverse trigonometric functions are arcsine (or inverse sine), arccosine (or inverse cosine), and arctangent (or inverse tangent). The arcsine of an angle is equal to the sine of its inverse angle; likewise, the arccosine of an angle is equal to the cosine of its inverse angle, and the arctangent of an angle is equal to the tangent of its inverse angle.
The three basic inverse trigonometric functions are arcsine (or inverse sine), arccosine (or inverse cosine), and arctangent (or inverse tangent).
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I’m second guessing my self :(
Answer:
28.26
Step-by-step explanation:
I CAN say what the answer is
Over here, the radius is 4.5m. Since the diameter is 2 times the radius, we just do 4.5*2=9, so 9 is the diameter. Then we do 9*pi which is 9pi and plugging in the given value for pi, we get 28.26.
9/10 times, your first answer is correct but it's always good to check your answer.
What percent of the men surveyed shop online? Round your answer to the nearest whole number percent.
27.5% percent of the men surveyed shop online.
How do I calculate a percentage?When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage.
Calculating a percentage involves dividing an item by its sum and multiplying the result by 100. (Value/Total Value)100% is the formula used to calculate percentages.
The simplest way to use percentages is to compare two numbers, with the second number being rebased to 100. Consider that we are curious about the proportion of employed women who are female.
A % is a number or ratio stated as a fraction of 100 in mathematics (from the Latin per centum, "by a hundred"). The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, while the percent symbol, "%," is most frequently employed.
Store = 37 women
Total women: 37/49 = 0.75%
Men: shop equals 52
Total men: 11 /40 = 27.5%
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What is the slope of the line that passes through the points (3, 6) and (1, 2)
Answer:
2
Step-by-step explanation:
\(\frac{(2-6)}{(1-3)}\)=\(\frac{-4}{-2}\)=2
mysnap is vlonepvrpp and i have 21 geometry questions i’ll send you the pictures of them
help with number one pls
Answer:
First it would be 10 and the second one would be 20 tell me if I’m right!!
Step-by-step explanation: I think it’s that I’m not really sure lol also have a great day :D
Use complete sentences to describe the difference between a ratio and a proportion.
Step-by-step explanation:
A ratio is a comparison of two quantities, expressed as a fraction or with a colon. For example, the ratio of boys to girls in a classroom might be 2:3 or 2/3. A ratio does not require any specific relationship between the two quantities being compared.
A proportion, on the other hand, is an equation that states that two ratios are equal. It is a statement that two ratios have the same value. For example, if the ratio of boys to girls in a classroom is 2:3 and the total number of students is 50, we can set up a proportion to find out how many boys there are:
2/5 = x/50
In this case, x represents the number of boys. Solving the proportion yields x = 20, so there are 20 boys in the classroom.
In summary, while a ratio is simply a comparison of two quantities, a proportion is an equation that states that two ratios are equal.
Solve for b: 3b – 5 = 43
we have the following:
\(3b-5=43\)solving for b:
\(\begin{gathered} 3b-5=43 \\ 3b=43+5 \\ b=\frac{48}{3} \\ b=16 \end{gathered}\)therefore, the answer is 16
Answer: b=16
Step-by-step explanation: The file
Which of the following factors does NOT control the stability of a slope?
the angle of repose for intact bedrock
whether the slope is rock or soil
the amount of water in the soil
the orientation of fractures, cleavage, and bedding
The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.
Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.
The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.
To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.
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Question Answer O A True O B False Question Answer O A True O B False Question Answer OA O B True False Using logarithmic differentiation we obtain that the derivative of the function y = x2x² satisfies the equation y = 4x log x + 2x. y Using logarithmic differentiation we obtain that the derivative of the function (1+x²)2 (1 + sin x)² y= 1-x² satisfies the equation 4x 2cos x 2x -= + y 1 + x² 1 + sin x 1-x² Given two complex numbers z=3-1 and w=3+ the product z2w equals 30-10%. Y'
In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.
In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.
In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².
In the third question, the product z²w is calculated correctly as 30-10%.
It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.
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Help is very much appreciated need this by tmr.
A triangle has vertices A (2,-3), B (-2,1) and C (1,2). Find the midpoint of the side AB.
the mid point of the side AB is (0,-1).
What is triangle?
Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The designation "triangle ABC" refers to a triangle containing the vertices A, B, and C. When three points are non-collinear in Euclidean geometry, they each produce a distinct triangle and plane. A triangle's area is the region that each of its sides touches. A triangle's area varies from one triangle to another depending on the size of its sides and internal angles. Triangle area is measured in square units like m2, cm2, and in2.
A = (2,-3)
B = (-2,1)
Mid point will be 1+3/2, -2-2/2
Mid point is (0,-1)
Hence the midpoint of the side AB is (0,-10).
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What property is this?(n+13) + 4 = n + (13+4) Associative Property Commutative Property Additive Identity O Distributive Property
Answer:associative property?
Step-by-step explanation: because you adding
Find the value of x. Round to the
nearest tenth.
26
12
Х
x = [ ?
Answer:
x = 10.8
Step-by-step explanation:
cos 26° = x/12
0.8988 = x/12
x = 10.785
which statement correctly describes two triangles that are similar ?
C
1) Since by definition, similar triangles have proportional sides and congruent angles, then examining the options
2) The right option is the 3rd one. The distance between the vertices is proportional (length) and the measure of the corresponding angle are the same (congruent to each other)
please help find the volume of the sphere and show work
Answer:
1436.76
Step-by-step explanation:
I think so
Answer: V≈1436.76
\(V=\frac{4}{3} \pi r^3\)
4/3×π=4.1887902047863909846168578443727
r=7
7^3=343
4.1887902047863909846168578443727×343=1,436.7550402417321077235822406198
1,436.7550402417321077235822406198=1436.76
I hope this is good enough:
x-6=8 what’s the answer please it’s 9th grade algebra
Answer:14
Step-by-step explanation:
X-6=8
+6. +6
X=14
A(n). is a general, tentative explanation that proposes explanations for observed behavior that can be used to predict future outcomes, whereas a(n) between two or more variables that is to be tested. is a specific prediction about the relationship
prediction; experiment
theory, hypothesis
outcome, theory
hypothesis; theory
A hypothesis is a tentative explanation that predicts the relationship between two or more variables to be tested, whereas a theory is a more general and established explanation that predicts future outcomes.
What is hypothesis?A hypothesis is a statement or proposition that is assumed to be true in order to prove or disprove a theorem or conjecture through logical reasoning and mathematical proof.
What is theory?A theory is a systematic and coherent set of concepts, principles, and mathematical models that explain a wide range of related phenomena and make predictions that can be tested and verified through experimentation or observation.
According to the given information:
In scientific research, a hypothesis is a specific prediction or statement that proposes a possible relationship between two or more variables, which can be tested through experimentation or observation. It is a tentative explanation that seeks to explain an observed behavior or phenomenon, and it can be used to guide future research and experimentation.
On the other hand, a theory is a more general and comprehensive explanation of an observed behavior or phenomenon that has been tested and supported by numerous experiments and observations. A theory can be thought of as a well-established and widely accepted explanation that can be used to predict future outcomes and guide further research.
To summarize, a hypothesis is a specific prediction that can be tested through experimentation or observation, while a theory is a more general and established explanation that has been supported by numerous experiments and observations.
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lolllll helppp me out sorry
Evaluate.
8 7/8 + (7 5/6−2 1/3)
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer: To evaluate the expression 8 7/8 + (7 5/6−2 1/3), you need to start by performing the operation inside the parentheses. The expression inside the parentheses is 7 5/6−2 1/3, which can be rewritten as:
7 + 5/6 - 2 - 1/3
Step-by-step explanation: To add and subtract these fractions, you need to express them with a common denominator. One way to do this is to use a denominator of 6. To express 5/6 with a denominator of 6, you can rewrite it as 5/6 * 1/1 = 5/6. To express 1/3 with a denominator of 6, you can rewrite it as 1/3 * 2/2 = 2/6. When you use these fractions in the expression, you get:
7 + 5/6 - 2 - 2/6
= 7 + 5/6 - 4/6
= 7 - (-1/6)
= 7 + 1/6
= 7 1/6
Now that you have simplified the expression inside the parentheses, you can add 8 7/8 to it:
8 7/8 + (7 1/6)
= 8 + 7/8 + 7 + 1/6
= 15 + 8/8 + 1/6
= 15 + 1 + 1/6
= 16 + 1/6
= 16 1/6
So the final value of the expression is 16 1/6. This fraction is already in simplest form, since the numerator and denominator are relatively prime (i.e., have no common factors other than 1).
which number can each term of the equation be multiplied by to eliminate the decimals before solving?
The number that can each terms of the equation be multiplied by to eliminate the decimals before solving is 100
The equation is
5.6j + 0.12 = 4 + 1.1j
The equation is defined as the mathematical expression that shows the relationship between one expression and another expression with equal sign. The equation consist of mathematical operator like addition, subtraction, division and multiplication
The equation is
5.6j + 0.12 = 4 + 1.1j
Here three term has fractional part.
In 0.12 there are two digits after the decimal point to eliminate the decimal number we have to multiply the number with 100 .
Then the equation will become
560j + 12 = 400 + 110j
Therefore, the number is 100
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The given question is incomplete, the complete question is
Which number can each term of the equation be multiplied by to eliminate the decimals before solving?
5.6j + 0.12 = 4 + 1.1j