After evaluating the expression 58 + (4x12-40) to the power of 2, we get 4356 or 4.356 ×10³ in scientific notation.
What is expression?An expression or mathematical expression is a finite combination of symbols that are well-formed in accordance with context-dependent rules. To help define the logical syntax and order of operations, mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, and grouping.
Authors frequently distinguish between a formula and an expression, with the former referring to a mathematical object and the latter to a statement about such an object.
We have been asked to evaluate the Expression
58 + (4x12-40) to the power of 2
⇒ (58 + (4x12-40))²
Use (a + b)² = a² + b² + 2ab
= 58² + (4x12-40)² + 2(58)(4x12-40)
= 3364 + (4x12-40)² + 116(4x12-40)
= 3364 + (48-40)² + 116(48-40)
= 3364 + (8)² + 116(8)
= 3364 + 64 + 928
= 4356
= 4.356 ×10³
Thus, After evaluating the expression 58 + (4x12-40) to the power of 2, we get 4356 or 4.356 ×10³ in scientific notation.
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Babies are illogical .nobody is despised who can manage a crocodile . Illogical person are despised identify one valid conclusion.
A.) if you are a baby,then you are despised.
B.) if you are despised, then you are a baby
C.) if you are not baby , then you are not despised
D.) if you are logical , then you are a baby
What the correct answer?
The obvious conclusion from this question is that. C. if you are not a baby, then you are not despised.
What is logic?
Logic can be defined as the study of rational thinking. It contains both formal and informal logic. Deductively sound inferences or logical truths are studied in formal logic. It is a formal science that examines the topic-neutral ways in which conclusions flow from premises. As opposed to informal logic, which is connected to argumentation theory, critical thinking, and informal fallacies, formal logic is a branch of logic.
Philosophy, mathematics, computer science, and linguistics are just a few of the disciplines where logic is crucial. A set of premises and a conclusion make up an argument, which is the subject of logic. Arguments can be proven right or wrong. If the premises of an argument support the conclusion, then it is valid.
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please help due now!
Answer:
e + 8
Step-by-step explanation:
A company purchases electronic components in batches of 100 and the supplier guarantees that
there will be no more than 5 defective components in each batch. Before acceptance of a particular
batch the company has a policy of selecting without replacement two components for testing. If both
components are satisfactory the batch is accepted and if both are defective the batch is rejected.
However, if only one is defective another component is selected and if this is satisfactory the batch
is accepted while if it is defective the batch is rejected. If the probability that a component is
defective is 5% what is the probability that the batch will be accepted?
Answer:
To solve this problem, we can use conditional probability.
First, let's find the probability that both components selected for testing are satisfactory. Since we're selecting without replacement, the probability of both being satisfactory is (95% * 94%) = 90.3%.
Next, let's find the probability that both components selected for testing are defective. This is (5% * 4%) = 0.2%.
Now, let's find the probability that one component is defective and the other is satisfactory. We can find this by multiplying the probability of one component being defective (5%) by the probability of the other component being satisfactory (94%). This gives us (5% * 94%) = 4.7%.
Finally, we'll find the probability that the batch will be accepted. The batch will be accepted if both components are satisfactory or if only one component is defective and the other component selected is satisfactory. The probability of this is 90.3% + 4.7% = 95%.
So the probability that the batch will be accepted is 95%.
A printer has 14 rolls of newsprint in the warehouse. What fraction of this total will remain if four rolls are used?
what is the slope of this graph showing?
Answer: -4/5
Step-by-step explanation:
(0,2) and (4,-3) are two coordinates here.
Using the slope formula, i.e, m = (y₂ - y₁)/(x₂ - x₁) = 4/-5 = -4/5
Find the value of x.
A.2
B.4
C.6
D.8
it's B.4 approximately .. sorry for not explaining in details
7. Asri spends 40% of his monthly allowance on food. He spends 20% of the remainder on transport and saves the rest. What percentage of his monthly allowance does he spend in all?
Answer:
52%
Step-by-step explanation:
First solve for the remainder:
remainder = 100% - 40%
remainder = 60% since 60% is left after 40% is spent on food.
Now solve for the percent of the total allowance spent:
20% of the remainder =
20% of 60% =
20% * 60% =
20% * 60/100 = ==> 60% = 60/100
1200% / 100 =
12 / 100 = ==> 1200% = 12 * 100%
12 * 100% = 12 * 1 = 12
12 / 100 = 12% spent on transport
Now add up the percent spent on food and the percent spent on transport:
40% + 12% = 52%
how do you find the difference between the points shown? what is the difference between point A and point B
Answer:
Step-by-step explanation:
Sorry but there isn't a picture here
Ansley purchased 100 shares of a certain stock 6 years ago for $2545.30. The stock has a steady annual percentage rate of growth and is now worth $4152.57. What is the approximate annual growth rate of the stock?
1) 8.5%
2) 26.8%
3) 2.7%
4) 0.85%
Answer:
2
Step-by-step explanation:
To find the approximate annual growth rate of the stock, we can use the formula for compound annual growth rate (CAGR):
CAGR = (Ending value / Beginning value)^(1/n) - 1
Where n is the number of years.
In this case, the beginning value is $2545.30, the ending value is $4152.57 and the number of years is 6.
So, CAGR = (4152.57 / 2545.30)^(1/6) - 1
The CAGR is approximately 26.8% which is the answer 2.
Mark plays field hockey. He makes a goal 55% of the time he shoots. A = the event Mark is successful on his first goal attempt. P(A) = 0.55. B = the event Mark is successful on his second goal attempt. P(B) = 0.55. Mark tends to make goals in streaks. The probability that he makes a second goal given that he made the first goal is 0.80.
Which of the following is true about A and B?
A and B are independent and mutually exclusive
A and B are neither independent nor mutually exclusive
A and B are independent, but not mutually exclusive
A and B are not independent, but mutually exclusive
A and B are disjoint
Answer: A and B are not independent, but mutually exclusive.
Step-by-step explanation:
Independence means that the probability of one event happening does not affect the probability of the other event happening. Mutual exclusivity means that the two events cannot happen at the same time.
In this case, we know that P(B|A) = 0.80, which means that the probability of Mark making a second goal given that he made the first goal is 0.80. This is different from P(B) = 0.55, the probability of Mark making a second goal without any information about whether he made the first goal. This means that the probability of event B is affected by whether event A has occurred, so A and B are not independent.
However, A and B are mutually exclusive, because Mark can either make his first goal or not, but can not make it at the same time.
Write an equation to represent the following: the product of the quantity
eight times a number x plus 4 and is equal to 17. Lesson 5-1
Answer:
8x+4=17
Step-by-step explanation:
Determine if the graph represents is a function.
If so, determine if the function is one to one.
not function, not one-to-one
function, one-to-one
function, not one-to-one
not function, one-to-one
hello!! only the equations with stars by the numbers need to be done. you don’t have to do all 4 if you don’t have time but as much as u can do is so greatly appreciated!! i would need an image attached of a graph so i can fill it in! i will mark brainliest if done correctly xx “solve the equation by graphing. check your solution”
Answer:
3. x = - 2, 4. x = 1-----------------------------
Question 3Given equation:
x + 4 = - xIn order to solve it by graphing, plot two lines:
y = x + 4 and y = - xThe solution is the x-coordinate of the intersection of the lines:
x = - 2See the attached
Question 4Given equation:
-2x + 6 = 5x - 1Similar to the previous question, plot the lines and take the x-coordinate of the intersection as solution.
y = - 2x + 6 and y = 5x - 1The solution is x = 1.
See the attached.
Thhe study of choices people make to fulfill their unlimited needs and wants even though there are limited resources.
Group of answer choices
Economics
Scarcity
Choices
Opportunity Cost
The study of choices people make to fulfill their unlimited needs and want even though there are limited resources is called Economics. Thus option A is correct.
What are resources?Resources can be defined as the means through which the material is provided to people. This will be to know that the resources are properly allocated.
An economy is a region where products and services are produced, distributed, traded, and consumed. a social domain that places an emphasis on production-related practices, discourses, and material expressions. The factors that affect production, such as land, cash, labor, and natural facilities, are governed by economic structures.
Therefore, option A is the correct option.
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Giving 100 Points
Question
Find the value of the trigonometric ratio.
Responses
454 fifths
545 fourths
434 thirds
35
Answer:
cos X = 3/5
Step-by-step explanation:
Cosine is a ratio. The side (leg) adjacent to Angle X is the side (leg) next to the angle. The hypotenuse is the longest side.
Cosine is the ratio of the Adjacent side /Hypotenuse.
In this image,
cos X = adj/hyp
cos X = 15/25
cos X = 3/5
cos X = 3/5
(Like the weird wording in the question:
3 fifths)
please answer and help
Answer:
The third option.
Step-by-step explanation:
Lets write the length as L and the width as W.
Given, L = W - 4
or L - W = - 4
Perimeter of a rectangle = 2( L + W)
44 = 2 (L + W)
L + W = 22
L - W = -4
2L = 18 (adding the two equations)
L = 9
W = 13
So, the answer is the third option.
Cheers
4. A fancy dinner for your family cost $77.48 and a 15% tip was added on top of that, how much
was your total bill?
Answer:
89.102 dollar
Step-by-step explanation:
let x be the total amount of bill
77.48 ×15% =11.622
11.622 is the additional tip
x=original cost +additional tip
=77.48+11.622
=89.102 dollar
The circumference of the hub cap of a tire is 78.06 centimeters. Find the area of this hub cap. Use 3.14 for . π Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap.
Answer: 485.14 cm^2 (rounded)
Step-by-step explanation: Pi * Diameter = 78.06 -> 78.06/ 3.14 or Pi = radius or 12.429. That squared is 154.5. Then multiply it by Pi to get the answer.
We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. The numbers 222, 72, 45, and 810 and are all cozy. Also, the numbers 202 and 2772 are cozy.
How many 2-digit numbers are cozy?
How many 3-digit numbers are cozy?
The number of three digit number formed are-
Repetition allowed = 125
Repetition not allowed = 60
What is defined as the combination?A combination is an algebraic technique for determining the number of distinct arrangements in a set of items in which the sequence of the selection is irrelevant.
here, we have,
You can choose the items in either order in combinations. Permutations and combinations are often confused.
For the given question;
The three digit number is to be formed.
The digits are given as- 1,2,6,7,8
Case 1: Repetition allowed
The number of combination will be;
= 5×5×5
= 125
Thus, the number of three digit number formed with repetition is 125.
Case 2: Repetition not allowed
The number of combination will be;
= 5×4×3
= 60
Thus, the number of three digit number formed with without repetition is 125.
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are the two triangles below similar? If so, write a similarity statement in state which similarity criteria can be used to prove it?
A. Similarity Statement
1. ABC DEF
2. ABC FDE
3. ABC EFD
4. The triangles are not similar
B. Criteria
1. AA
2. SAS
3. SSS
4. Not applicable, the triangles are not similar
Similarity is the mathematical property of triangles. Two triangles are called similar if they fulfil wither of the properties: Angle Angle, wherein two angles should be congruent; Side Angle Side, wherein two sides are similar to each other and the angles congruent to each other; and Side Side Side, wherein three sides are similar to each other in ratio.
The triangle ABC and triangle EDF are similar.
The first property is angle,
∠BAC = ∠EDF = 65°
The second property is also angle.
∠ABC = ∠DEF = 48° (∠DEF = 180 - 65 - 67)
Thus, the three angles are same or congruent.
The AA property of similarity makes the two triangles ABC and DEF similar. The option 1 is correct.
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Explain how you could use mental math to find the following sum. Then find the sum. Support your answer with a model
The mental math for the fraction is shown below.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Model: 1 1/4 + 2 1/3 + 3 2/3 + 4 1/2 + 5 1/2 + 6 3/4
Now, if we use mental math then we can add the whole number first.
1 + 2 + 3 + 4 + 5 + 6 = 21
Now, add the fraction with same denominator
1/3 + 2/3 = 3/3 = 1
1/2 + 1/2 = 1
1/4 + 3/4 = 4/4 = 1
Finally add all of them
21 + 1+ 1 +1= 24.
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39 oz to ____ lb ____ oz
Answer:
2.4375 pounds
what is the slope of y= 4x-5
Answer:
it is 4
Step-by-step explanation:
the slope is always the number before x and so since 4 is before x then 4 is the answer
Which statement about a histogram is true?
Group of answer choices
A peak is a bar that is higher than the other bars around it.
A cluster means the frequency is zero.
A mirror image of the left and right side of a histogram means there is a peak in the middle.
If the graph has a cluster, the data is evenly distributed.
The true statement about a histogram is A. A peak is a higher bar than the other bars around it.
What is a histogram?A histogram is a pictorial representation of data using vertical bars of equal width but different heights with no spaces between the bars.
Histograms are graphical representations of the frequency of numerical data using rectangular bars.
The height of the histogram represents the frequency of the variable of interest.
A Histogram as a graph shows the distribution frequency of continuous data, making it easier to interpret.
Histograms summarize and provide a visual interpretation and comparison of data.
Thus, the highest bar in height represents the peak; therefore, Option A is correct since Options B, C, and D do not refer specifically to a histogram.
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835 yd to km express answer using three significant figures
Answer: 835 yards is equal to 0.764 kilometer.
Step-by-step explanation: One yard is equal to about 0.0009144 kilometer. In order to answer the question, we just have to multiply this by 835. This gives us about 0.763524.
In order to round to three significant figures, we start counting from the first non-zero number within this value - which would be 7. This means that 3 is our third significant value, and because a 5 comes after it we round up to four.
Thus, our final answer is 0.764.
Find the value of x that makes the quadrilateral a parallelogram.
Answer:
x=2/3
Step-by-step explanation:
If I am correct, I would make them both equal each other.
6x=3x+2
3x=2
x=2/3
6(2/3)=3(2/3)+2
4=2+2
4=4
A company will issue stock and bonds to raise
$35,000,000 to finance a project. The company will
need to pay specialty fees and service commission
as part of this process. 0.5% of the money raised
will be spent on specialty fees, and 2% of the
money raised will be spent on service commission.
Calculate the amount of money that will be spent
on specialty fees.
fees = $ [?]
Enter
PH
Skip
Answer:
$175,000.
Step-by-step explanation:
The amount of money that will be spent on specialty fees is $35,000,000 x 0.5% = $175,000.
Answer:
$175,000
Step-by-step explanation:
To calculate the amount of money that will be spent on specialty fees, we need to multiply the total amount of money raised (35,000,000) by the specialty fee percentage (0.5%).
fees = 35,000,000 * 0.005 = 175,000
So, $175,000 will be spent on specialty fees.
To calculate the amount of money that will be spent on service commission, we need to multiply the total amount of money raised (35,000,000) by the service commission percentage (2%).
commission = 35,000,000 * 0.02 = 700,000
So, $700,000 will be spent on service commission.
Jenny buys candy that costs $7 per pound. She will spend more than $70 on candy. What are the possible numbers of pounds she will buy?
Use p for the number of pounds Jenny will buy.
Write your answer as an inequality solved for p.
Answer: p > 10
Step-by-step explanation:
If one pound of candy is $7, then ten pounds of candy would be $70. If Jenny plans on spending more that $70, this means that she plans on buying more that ten pounds of candy, which shows that p (the number of pounds of candy she will buy) is greater than ten.
I hope this helps!!
A farmer notes that in a field of horses and chickens there are 34 heads and 104 feet. How many of each animal are there
Answer: 18 horses and 16 chickens
Step-by-step explanation:
horses = h , chickens = c
h + c = 34
4h + 2c = 104, or simplified, 2h + c = 52
Now we just use systems of equations to solve. I will subtract the second equation from the first.
(2h + c = 52) -
(h + c = 34)
so simplified, our system becomes h = 18. Therefore, there are 18 horses. Now we can plug this value into h for any of the equations to get c, the amount of chickens.
18 + c = 34
c = 16.
Therefore, there are 18 horses and 16 chickens.
Grayson can spend a maximum of 3 hours,h, watching television on the weekend
Grayson can spend a maximum of 3 hours, h, watching television on the weekend, and is shown in the number line.
What is number line?Numbers on a straight line are represented graphically as a number line. For comparing and sorting numbers, it serves as a reference. Including all whole numbers and natural numbers, it can be used to represent any real number.
Just to refresh your memory, the natural number is the collection of all counting numbers, i.e. 1, 2, 3, 4, 5, 6, while the whole number is a set of numbers that includes both zero (0) and all counting numbers.
Compare numbers more easily by writing them on a number line. The integers in the above figure are smaller on the left than they are on the right, as can be seen.
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Grayson is only permitted to watch television for a total of three hours on the weekends. 8-10. 5-5, 5-6 7.5-6
How do you calculate time in an hour?[Time = Distance Speed] is the formula for calculating time. The time formula can be changed to [Distance = Speed Time] to compute distance. Find the vertex of the parabola given a generalised quadratic function. Find a, b, and c. By changing a and b into h=-b2a, you can determine h, the vertex's x-coordinate. By evaluating k=f(h)=f(b2a), you may determine k, the vertex's y-coordinate.
In order to get the vertex (h, k) of the given quadratic y = ax2 + bx + c, one must first compute h= b 2 a h=2ab 2a, and then one must evaluate y at h in order to determine k. The speed equation is speed=distance*time. According to the currently accepted definition of the kilogramme, it reads as follows: "The kilogramme is defined by considering the fixed numerical value of h to be 6.62607015 unit Js,"
The fact is [tex]$3 \geqslant h \geqslant 0$[/tex]
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