Answers
Answer:
x = -6°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
Identify and set up
x + 81 + 65° + 40° = 180°
Step 2: Solve for x
[Addition] Combine like terms: x + 186° = 180°[Subtraction Property of Equality] Subtract 186° on both sides: x = -6°Related Questions
________ probability represents the likelihood of a single event occurring by itself.
Answers
The probability that represents the likelihood of a single event occurring by itself is called marginal probability.
Marginal probability refers to the probability of an individual event happening independently without considering any other events. It focuses on a single variable or outcome without considering the relationship or dependencies with other variables.
To calculate marginal probability, you divide the number of times the specific event occurs by the total number of observations. For example, if you have a bag of marbles with different colors and you want to find the marginal probability of drawing a red marble, you would count the number of red marbles and divide it by the total number of marbles in the bag.
Marginal probability is often used when working with categorical variables or when studying the probability of a single event without considering any other variables or conditions. It provides a fundamental understanding of the likelihood of an event occurring in isolation, independent of any other factors.
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Katie invested a total of $4000, part at 2% simple interest and part at 3% simple interest. At the end of 1 year, the investments had earned $90 interest. How much was invested at each rate?
Answers
Answer:
$3000
$1000
Step-by-step explanation:
the formula for simple interest = principal x time x interest rate
let the amount invested in the 2% investment be a
let the amount invested in the 3% investment be (4000 - a)
(a x 0.02 x 1) + ([4000 - a] x 0.03 x 1) = $90
0.02a + 120 - 0.03a = 90
Collect like terms and solve for a
0.01a = 30
a = $3000
The amount invested in the 3% investment be (4000 - a) = $4000 - $3000 = $1000
Consider the quadratic function:
f(x) = x2 – 8x – 9
Vertex: (StartFraction negative b Over 2 a EndFraction, f (StartFraction negative b Over 2 a))
Answers
Answer:
x=-b/2a=8/2=4
y=16-8*4-9=16-32-9= - 25
(4, - 25) ,,
Kallen was invited to a birthday party for his best friend. He wanted to buy a gift that was $43.87 and wrapping paper that was $2.94. If he earns $8.25 for each lawn he mows and his mom agrees to match all his earnings how many lawns will he need to complete to buy the gift and wrapping
Answers
Answer: 6
Step-by-step explanation:
The total amount needed by Kallen for the gift and the wrapping paper will be:
= $43.87 + $2.94
= $46.81
Since he earns $8.25 for each lawn he mows, the number of lawns they he will need to complete to buy the gift and wrapping will be:
= $46.81 / $8.25
= 5.67
= 6 lawns approximately
He'll need to mow 6 lawns
AREA OF A CIRCLE PLS HELP
Answers
Answer:
153.86 ft²
Step-by-step explanation:
Area = \(\pi r^2\)
= 3.14 * 7 * 7
= 153.86 ft²
Answer:
if A =3.14*r^2 then the answer would be either 153.86
Step-by-step explanation:
Assume we have two events, A and B, that are mutually exclusive. Assume further we know P(A) = .30 and P(B) = .40.
What is P(A ⋂ B)?
What is P(A | B)?
Answers
Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.
P(A ∩ B) = 0, since the events are mutually exclusive.
P(A | B) = 0, since the probability of A given B is 0 when A and B are mutually exclusive.
Since A and B are mutually exclusive, they cannot both occur at the same time. This means that the probability of them both happening at the same time is 0. As a result, P(A ∩ B) = 0.
Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.
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solve for X.
Should be a decimal.
Answers
Answer : 29.83287
Find and classify the critical points of f(x,y)=8r³+ y² + 6xy
Answers
The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point
To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.
Taking the partial derivative with respect to x, we have:
∂f/∂x = 24x^2 + 6y = 0.
Taking the partial derivative with respect to y, we have:
∂f/∂y = 2y + 6x = 0.
Solving these two equations simultaneously, we get:
24x^2 + 6y = 0,
2y + 6x = 0.
From the second equation, we can solve for y in terms of x:
Y = -3x.
Substituting this into the first equation:
24x^2 + 6(-3x) = 0,
24x^2 – 18x = 0,
6x(4x – 3) = 0.
Therefore, we have two possibilities for x:
1. x = 0,
2. 4x – 3 = 0, which gives x = ¾.
Substituting these values back into y = -3x, we get the corresponding y-values:
1. x = 0 ⇒ y = 0,
2. x = ¾ ⇒ y = -9/4.
Hence, the critical points of the function are (0, 0) and (3/4, -9/4).
To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.
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In a hurry
A wire is suspended between two poles. Function f, defined by the given table, represents the elevation, in feet, of a wire at a point x feet from the first pole. x 0 2 4 6 8 10 12 14 16 f(x) 28 26.25 25 24.25 24 24.25 25 26.25 28 Which statement is supported by the table? A. The two poles are 8 feet apart. B. At its lowest point, the wire is 24 feet above the ground. C. At its lowest point, the wire is 8 feet above the ground. D. The two poles are 24 feet apart.
Answers
Answer:
B. At its lowest point, the wire is 24 feet above the ground
Step-by-step explanation:
If the equation of a line is: Y= 200 -3X This line is
downward sloping
upward sloping
vertical
horizontal
Answers
Step-by-step explanation:
y = 200 - 3 *x has slope = -3 this is downward sloping from L to R
Answer:downward sloping
Step-by-step explanation:
negative slope
Captain Perguin bought 150 crackers for his
pet parrot. He ate 10% of them himself. How
many crackers did Captain Perguin eat?
Answers
Answer:
15
Step-by-step explanation:
Percentages represent a proportion of a number. This means that a percentage represents part of a whole.
In this question, Captain Perguin ate 10% of 150 crackers. There are 2 ways to solve this problem explained below.
Multiplication
One way to find a percentage is through multiplication.
First, convert the percentage into a decimal. Do this by moving the decimal point 2 places to the left. This means that 10% becomes 0.1Next, multiply this decimal by the whole number. Then, multiply \(150*0.1=15\).This means that Captain Perguin ate 15 crackers.Shortcut
Multiplication is not the only way to find the answer. This question is special because it asks for 10%. Instead of multiplication, you could simply move the decimal point of the original number 1 digit to the left. This means that 10% of 150 must be 15. Remember this trick does not work for percentages other than 10%.
an advantage of statistical sampling over nonstatistical sampling is that statistical sampling helps an auditor to:
Answers
The fact that statistical sampling enables an auditor to assess the adequacy of the evidence gathered gives it an edge over nonstatistical sampling.
The fact that statistical techniques of attribute sampling offer a scientific framework for designing the sample size over non-statistical approaches is one of their main advantages.
It enables an auditor to assess the risk associated with sampling and limit it to a manageable level.
These techniques would aid in determining the sample size needed to achieve an auditor's objectives and aims.
The auditor uses statistical sampling to create an effective sample, gauge the quality of the evidence collected, and assess the sample findings. Auditors are expected to collect enough relevant evidence. The quantity of the evidence is gauged by its sufficiency. It has to do with the layout and scope of the sample.
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hi i need help on question 20! pls
Answers
Answer:
the answer is 3
Step-by-step explanation:
True or False
1. The data given in interval is a grouped data.
2. The specific point where the upper and lower limit meets is the data value.
3. The gap between each data value is called interval.
4. The number of times an observation occurs or appears in a data set is called frequency distribution table.
5. The lowest number in the class interval is the upper limit.
Answers
Answer:
true
false
true
false
true
You win a prize and are offered two choices:
Choice A: $0.10 on January 1, $0.20 on January 2, $0.40 on January 3, $0.80 on January 4, doubling the amount each day, or
Choice B: $5.00 on the first day, $10.00 on the second day, $15.00 on the third day, getting $5.00 more each day.
Which Choice can be defined using an exponential function? What is the function?
Choice B, at=5.00+5.00t
Choice A, at=0.10(2)^t-1
Choice A, at=(0.10)^t-1
Choice B, at= 5.00+5.00(t-1)
Answers
The required choice A represents the exponential function as \(0.10(2)^{t-1}\). Option B is correct.
The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
Choice A: $0.10 on January 1, $0.20 on January 2, $0.40 on January 3, and $0.80 on January 4, doubling the amount each day.
Which is given as,
\(A = 0.10(2)^{t-1}\)
Choice B: $5.00 on the first day, $10.00 on the second day, $15.00 on the third day, getting $5.00 more each day.
Which is given as,
B = 5 + (n - 1)5
Thus, the required choice A represents the exponential function as \(0.10(2)^{t-1}\). Option B is correct.
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Choice B can be defined using an exponential function: at=5.00(1+0.5)^t-1.
Explanation:
The function for choice B is an example of an arithmetic sequence, where the value increases by a constant amount each day. In this case, the amount increases by $5.00 every day. The general formula for an arithmetic sequence is given by at = a1 + (t - 1)d, where at represents the value on the t-th day, a1 is the value on the first day, and d is the common difference between the terms.
In choice B, a1 = $5.00 and d = $5.00. Therefore, the function becomes at = 5.00 + 5.00(t-1). However, this formula is not an exponential function because it does not involve exponential growth or decay.
Choice A, on the other hand, has a formula that involves doubling the amount each day. This is an example of exponential growth, which can be described using an exponential function. The formula for choice A is given by at = 0.10(2)^t-1, where at represents the value on the t-th day.
Hope this helps you :D
Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to
Answers
Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.
Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:
Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.
Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.
Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:
SA = 4π\((3)^2\)
SA = 4π(9)
SA = 36π
SA ≈ 113.1 square feet
Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.
Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:
V = (4/3)π\((3)^3\)V = (4/3)π(27)V = 36πV ≈ 113.1 cubic feetCalculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:
Turnover time = Volume / Flow rateTurnover time = 113.1 / (50/60)Turnover time ≈ 2.28 minutesUse these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.
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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.
Find an equivalent fraction for the decimal number. In your final answer, include all of your work.
0. 61
Answers
61/100 is the equivalent fraction for the given decimal number.
A decimal number then has two components: a whole number part and a fractional part. The decimal place value system for the whole part of a decimal number is the same as the whole number value system. However, we get the fractional part of the decimal number as we move toward the right after the decimal point.
A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator. It shows the total number of equal parts the whole is divided into or the total number of the same objects in a collection.
for converting a decimal into a fraction we need to multiply and divide the decimal by the 10^n where n is the number of digits after the decimal.
61/100 is the equivalent fraction for the given decimal number.
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in a test consisting of 90 questions, Ama answered 75% of the first 40 questions correctly. If she had to get a score of 80% in the test, (i) how many questions did she answer correctly out of the first 40 questions? (ii) how many questions should she answer correctly out of the 90 questions? (iii) what percentage of the remaining 50 questions should she answer correctly in order to get the 80%?
Answers
Answer:
total question =90
she obtained 75% of first 40 questions
No. of question she got correct in first 40 = 75% * 40 = 302. in order to get 80% out of 90,
the no. of questions got correct by Ama = 80% * 90 = 72
3. As she already got 30 c0rrect in first 40 questions, the number of question she needs correct for remaining 50 = (72-30) = 42
percentage = 42/50*100% = 84%
The number of questions answered correctly on the first 40 questions is 30.
The questions answered correctly of the 90 questions is 72.
The percentage answered correctly on the last 50 questions is 84%.
How many questions were answered correctly?Percentage can be described as a fraction of an amount expressed as a number out of hundred.
Number of questions answered correctly on the first 40 questions: 40 x 0.75 = 30
Questions answered correctly of the 90 questions: 90 x 0.8 = 72
Number of questions gotten correctly on the last 50 questions: (0.8 x 90) 30 = 42
Percentage = 42/50 x 100 = 84%
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4. If 24 cans of soup will feed 72 people, how many cans are
needed to serve 39 people?
Answers
Answer:
24 cans=72 people
1 people = 24÷72 cans
39 people = 24÷72×39 cans
=13 cans
What is the y-intercept of f(x) = 3x 2? a. (9,0) b. (0,9) c. (0,-9) d. (9,-9)
Answers
Answer:
f(x) = 3x + 9: y - intercept is option c. (0,-9)
f(x) = 3x - 9: y - intercept is option b. (0, 9)
Step-by-step explanation:
option a and d cant be correct since y = 0 in those answer when the y - intercept is when x = 0
If the function f(x) = 3x + 9
than x = 0
f(x) = 3(0) + 9
f(x) = 0 + 9
f(x) = 9
x = 0 and y = 9 (0, 9)
If the function f(x) = 3x - 9
than x = 0
f(x) = 3(0) - 9
f(x) = 0 - 9
f(x) = -9
x = 0 and y = -9 (0, -9)
F(X)=3x-9: y intercept is option B
One fruit snack contains 55 milligrams of sodium, which is about 2 percent of the recommended daily amount for an adult. How many milligrams of sodium are recommended daily for an adult.
Answers
2,750 mg
100÷2=50
50x55=2750
Answer:
About 2750 milligrams
Step-by-step explanation:
You said that one fruit snack had 55 milligrams of sodium and that was about 2% of the recommended daily amount for an adult. If it was about 2% then in order the find about how many milligrams of sodium is recommended daily for an adult you would multiply 55 by 50. 55 stands for how many milligrams and 50 is basically how many times you would need to have 2% in order to get to 100%. 55 * 50 would equal 2750 and if the unit we were using is milligrams then that would be 2650 milligrams. Though you did say 55 milligrams of sodium was about 2% of the recommended daily amount for and adult so you would say about or approximately instead of just saying the number.
PLZ DO THIS NOW I NEED IT AND TODAY IS MY BIRTHDAY
Answers
Answer:
pm is a right angle thats all i know
Step-by-step explanation:
Answer:
HAPPY BIRTHDAY
Step-by-step explanation:
There is actually 2 questions
a farmhouse shelters 23 animals some of them are ducks and the others are goats . altogether these animals have 62 legs. find how many ducks and goats are in The farmhouse.
in a coin Bank , there are 104 dime and quarters worth a total of $14 . how many of each type of coins are in the bank .
Answers
Answer:
not sure but i need points
Step-by-step explanation:
LOL Can someone help me with this LOL?!!
Please simplify that!!!
Answers
Step-by-step explanation:
You should study the exponential laws. Remember that (a/b) to the exponent of m is the same as a to the exponent of m over b to the exponent of m.
Therefore, 2 to the exponent of 5×4 over 3 to the exponent of 2×4 equals to 1048576/6561.
Answer:
2 to the exponent of 5×4 over 3 to the exponent of 2×4 equals to 1048576/6561.
Step-by-step explanation:
The nuclear waste from an atomic energy plant decays at a rate of 3% each 1 point
century. If 150 pounds of nuclear waste is disposed of, how much of it will
still remain after 10 centuries? Use the equation below and let x = 10.
y = 150(0.97)^x
Answers
Answer: MANZANA
Step-by-step explanation: PIOJO
what is -1/3(y-x) expanded
Answers
-4×(-2)[2×(-6)+3×(2×6-4-4)]
Answers
\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)
➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]
➝ -4 × (-2) [2 × (-6) + 3 × (4) ]
➝ -4 × (-2) [2 × (-6) + 12 ]
➝ -4 × (-2) [(-12) + 12 ]
➝ -4 × (-2) [0]
➝ -4 × 0
➝ 0
Answer:
-4*-2
Step-by-step explanation:
the multiple of both side is 4*2*,26+*32*--=6 44
Ian made cookies for a bake sale. He made 91 cookies, including 30 cookies in the shape of a dog.
What is the probability that a randomly chosen cookie will be in the shape of a dog?
Write your answer as a fraction or whole number.
Answers
Answer:
what i can't understand it
Step-by-step explanation:
can you explain
x and y each take on values 0 and 1 only and are independent. their marginal probability distributions are:
f(x) =1/3, if X = 0 and f(x) = 2/3 if X = 1 f(y) =1/4, if Y = 0 and f(y) = 3/4 if Y = 1 Determine corresponding joint probability distribution.
Answers
The corresponding joint probability distribution is:
X\Y 0 1
0 1/12 1/4
1 1/6 1/2
Since X and Y are independent, the joint probability distribution is simply the product of their marginal probability distributions:
f(x,y) = f(x) × f(y)
Therefore, we have:
f(0,0) = f(0) ×f(0) = (1/3) × (1/4) = 1/12
f(0,1) = f(0) × f(1) = (1/3) × (3/4) = 1/4
f(1,0) = f(1) × f(0) = (2/3) × (1/4) = 1/6
f(1,1) = f(1) ×f(1) = (2/3) × (3/4) = 1/2
Therefore, the corresponding joint probability distribution is:
X\Y 0 1
0 1/12 1/4
1 1/6 1/2
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an equilibrium phase diagram can be used to determine:
Answers
An equilibrium phase diagram can be used to determine phase transitions, phase presence, and phase compositions at different conditions.
An equilibrium phase diagram can be used to determine the below mentioned parameters:
A) It can determine where phase transitions will occur. Phase transitions refer to changes in the state or phase of a substance, such as solid to liquid (melting) or liquid to gas (vaporization). The phase diagram provides information about the conditions at which these transitions take place, such as temperature and pressure.
B) It can determine what phases will be present for each condition of chemistry and temperature. The phase diagram shows the different phases or states of a substance (such as solid, liquid, or gas) under different combinations of temperature and pressure. It provides a visual representation of the stability regions for each phase, indicating which phase(s) will be present at a given temperature and pressure.
C) It can determine the chemistry and amount of each phase present at any condition. The phase diagram gives information about the composition (chemistry) and proportions (amount) of different phases present under specific conditions. It helps identify the coexistence regions of multiple phases and provides insight into the equilibrium compositions of each phase at various temperature and pressure conditions.
In summary, an equilibrium phase diagram is a valuable tool in understanding the behavior of substances and can provide information about phase transitions, phase stability, and the chemistry and amounts of phases present at different conditions.
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