What is 10 and 3/4 as a decimal
Answer:10.75
Step-by-step explanation:
3/4 as a decimal is 0.75. add that to the 10 gives you 10.75
How many different numbers can be obtained using five binary bits? A)64 B)32 C)31 D)63.
In binary representation, each bit can be either 0 or 1. Using five binary bits, we can obtain 32 different numbers. Therefore, the correct answer is (B).
With five binary bits, we have five positions, and each position can have two possibilities (0 or 1). To calculate the total number of different numbers we can obtain, we need to raise 2 to the power of the number of bits. In this case, we have \(2^5,\) which equals 32. Therefore, we can obtain 32 different numbers using five binary bits. To understand this concept, we can think of each binary bit as a switch that can be either on (1) or off (0). With five switches, we have a total of 32 different combinations or numbers that can be represented. These numbers range from 0 (all switches off) to 31 (all switches on). Therefore, the correct answer is (B), which states that we can obtain 32 different numbers using five binary bits.
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Jack Pott is paid a straight commission of 6% on his sales. During
February, his sales were $38,000. What was his commission?
Answer:
$2280
Step-by-step explanation:
38000*6% =2280
How many different license plates with 2 vowels followed by 4 digits are possible if letters and digits cannot be repeated
b) there are 100,800 different license plates possible with 2 vowels followed by 4 digits, assuming letters and digits cannot be repeated.
To calculate the number of different license plates with 2 vowels followed by 4 digits, where letters and digits cannot be repeated, we need to consider the possibilities for each position.
Let's break down the calculation step by step:
1. Vowels: Since we need 2 vowels in the license plate, we need to consider the number of choices for each vowel position. There are 5 vowels in the English alphabet (A, E, I, O, U).
- For the first vowel position, we have 5 choices.
- For the second vowel position, we have 4 choices remaining (after using one vowel in the first position).
Therefore, the number of possibilities for the vowel positions is 5 * 4 = 20.
2. Digits: Since we need 4 digits in the license plate, we need to consider the number of choices for each digit position. There are 10 digits (0-9).
- For the first digit position, we have 10 choices.
- For the second digit position, we have 9 choices remaining (after using one digit in the first position).
- For the third digit position, we have 8 choices remaining.
- For the fourth digit position, we have 7 choices remaining.
Therefore, the number of possibilities for the digit positions is 10 * 9 * 8 * 7 = 5,040.
3. Combining the possibilities: To obtain the total number of possible license plates, we multiply the number of possibilities for the vowel positions by the number of possibilities for the digit positions:
Total possibilities = 20 (vowels) * 5,040 (digits) = 100,800.
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f(x) = 10x + 1, g(x) = 10x + 4
Describe the transformation
Answer:
The function is translated 3 units up from its original position.
Step-by-step explanation:
If you look at the equations, nothing is changed besides the + 1 turning into a + 4. What does that mean? Well, if we find the difference between the 4 and the 1 by subtracting, that leaves us with 3. Since the number is positive, this indicates an upward vertical shift.
The length of the legs of a 45-45-90 Special Right Triangle are 5 inches. How long is the hypotenuse of the triangle?
5v3
10
15
5v2
The length of the hypotenuse is 5 times the square root of 2, or approximately 7.07 inches as the two legs are congruent. The correct option is D.
Congruent means having the same shape and size. In geometry, two figures are said to be congruent if they have exactly the same size and shape.
Congruent figures have the same angles and sides, and they can be superimposed onto each other by a combination of rotations, reflections, and translations.
In a 45-45-90 triangle, the two legs are congruent, and the hypotenuse is sqrt(2) times the length of a leg.
Therefore, in this case, the length of the hypotenuse is:
h = 5 * sqrt(2)
Simplifying this expression, we get:
h = 5v2
Thus, the length of the hypotenuse is 5 times the square root of 2, or approximately 7.07 inches. Therefore, the correct answer is (d) 5v2.
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A basket contains 6 peaches and 8 plums.
What is the ratio of peaches to total pieces
of fruit? (Lesson 4.2)
How do this
Find total pieces of fruit:
6 + 8 = 14 total pieces of fruit.
The ratio of peaches to total fruit is written as a fraction with the number of peaches over the total number of fruit:
6/14
Both numbers are divisible by 2, so 6/14 gets reduced to 3/7
The answer is 3/7
Answer:
3:7
Step-by-step explanation:
First, you have to add the number of peaches and plums to get your total amount of fruit, you would get 14 once you add 6 peaches and 8 plums.
Because you have 6 peaches and 14 total pieces your answer would narrow down to 6:14. After you reduce, you get 3:7.
Hope this helps.
For approximately what values of x can you replace sin x by x − x^3/6 with an error of magnitude no greater than 6×10^−4?
With an error of magnitude no more than 6×10^−4, the values of x for which sin x can be replaced by x - x^3/6 are roughly: -0.3728 ≤ x ≤ 0.3728
To find the values of x for which sin x can be replaced by x - x^3/6 with an error of magnitude no greater than 6×10^−4, we need to analyze the Taylor series expansion of sin x around x = 0. The Taylor series for sin x is:
sin x = x - x^3/6 + x^5/120 - x^7/5040 + ...
We are given the approximation sin x ≈ x - x^3/6, which corresponds to the first two non-zero terms of the Taylor series. To find the error bounds, we consider the next term in the series, x^5/120. To have an error no greater than 6×10^−4, we need:
|x^5/120| ≤ 6×10^−4
Now, solve for x:
|x^5| ≤ 72×10^−4
|x| ≤ (72×10^−4)^(1/5)
Calculating the fifth root gives:
|x| ≤ 0.3728
Therefore, the values of x for which sin x can be replaced by x - x^3/6 with an error of magnitude no greater than 6×10^−4 are approximately:
-0.3728 ≤ x ≤ 0.3728
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in two or more complete sentences, describe choices that a consumer can make that could lead to financial irresponsibility.
Choices made by consumer leads to financial irresponsibility are as follow:
Spend money on emotional feelingDon't save money for emergency purposeSpending money without knowing your limitsSpending money doing comparisonAs given in the question,
Choices made by consumer leads to financial irresponsibility are as follow:
Spend money on emotional feelingWhen a person is spending money just on emotional feeling and buying large gifts for children which is beyond the budget. Due to this habits a person may have to take debt.
Don't save money for emergency purposeWhen a person is not saving enough money for the time of emergency, it can be a medical emergency then it is financial irresponsible behavior.
Spending money without knowing your limitsWhen you are not making any budget and spending money ,it might possible at the end of the month or some time you have to face financial crises.
Spending money doing comparisonDon't compare yourself with anyone, this might lead you to take loan or debts which lead your life in facing financial trouble.
Therefore, choices made by consumer leads to financial irresponsibility are as follow:
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Write an equation of a line in slope-intercept form that goes through the points (-13,0) and (-1, -6).
Answer: m = -1/2
Step-by-step explanation:
Bing bang boomarang i have no idea
this is what I need help with, because I dont understand how to do it
Answer
102.1
Step-by-step explanation:
area of the shaded region is the area of the the whole circle subtract area area of the unshaded minor segment.
Pls help!!! Pls and thank you!! So much
Answer:
I solved it for u!
Hope it helps
Step-by-step explanation:
Another way, it an isosceles triangle so the base will be same, so angle 3 and angle 1 will be same after u find angle 3, then angle 1 will be equal to it
So here angle 3 = 64°
So angle 1= 64°
The projected number of employed writers and authors in 2016 is 153,000. 12. 4% of those will have some college experience but no degree, and 84. 1% will have a bachelor’s degree or higher. If this holds true, how many more writers and authors with bachelor’s degree will there be than those with only some college experience and no degree?.
There are 109,761 more writers with a bachelor's degree or higher than those with only some college experience and no degree.
From the given data, Percent of writers with some college experience but no degree = 12.4%
Percent of writers with a bachelor's degree or higher = 84.1%The percentage of writers without any college experience can be found by:
Percent of writers without any college experience = 100% - (12.4% + 84.1%)
Percent of writers without any college experience = 3.5%T
Total number of writers with some college experience but no degree = 12.4% of 153,000= 18,972
Total number of writers with a bachelor's degree or higher = 84.1% of 153,000= 128,733
Total number of writers without any college experience = 3.5% of 153,000= 5,355
Therefore, the number of writers with a bachelor's degree or higher than those with only some college experience and no degree is:
128,733 - 18,972 = 109,761
Hence, there are 109,761 more writers with a bachelor's degree or higher than those with only some college experience and no degree.
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ill mark brainlist plss help
Answer:
A) 3.6 in.
Step-by-step explanation:
36/10 = 3.6
Answer:
it's 3.6in because if you take 36 and divide it by that 10 it's 3.6. Which leads to your answer 3.6in.
please help me with the question below
Answer:
a) C(t) = 425(1.048)^t
Step-by-step explanation:
Formula for an exponential function: a * b^x
a = initial value, b = growth / decay rate
The initial value is 425 mL, so a = 425.
The capacity increase by 4.8% per hour (need to convert to decimal, so b = 1.048)
Therefore, the answer is 425 (1.048)^t, or a
solve the equation. check your solution n - 6 = 21
Answer:
n=27
Step-by-step explanation:
Answer:
n=27
Step-by-step explanation:
Let's solve your equation step-by-step.
n−6=21
Step 1: Add 6 to both sides.
n−6+6=21+6
n=27
Hope it helped!
The advantage of using statistical sampling techniques is that such techniques:
a. mathematically measure risk.
b. eliminate the need for judgmental decisions.
c. are easier to use than other sampling techniques.
d. have been established in the courts to be superior to non-statistical sampling.
Among the given options, the advantage of using statistical sampling techniques is best represented by option a: mathematically measure risk.
Statistical sampling techniques allow for the quantification and measurement of risk associated with sampling. By employing statistical methods, such as determining sample sizes based on desired confidence levels and margins of error, statistical sampling enables the estimation of population parameters with known levels of confidence and accuracy. This helps in making objective decisions and assessing the reliability of the results obtained from the sample.
Option b, eliminating the need for judgmental decisions, is not entirely accurate. While statistical sampling techniques aim to reduce bias and subjectivity by providing a structured approach, certain judgmental decisions may still be required, such as determining the appropriate sampling frame or selecting the sampling method.
Option c, stating that statistical sampling techniques are easier to use than other sampling techniques, is a generalization and may not always be true. The ease of use depends on the specific sampling technique being employed and the level of expertise of the user.
Option d, suggesting that statistical sampling techniques have been established in courts as superior to non-statistical sampling, is not universally true. The admissibility and acceptance of sampling techniques in legal contexts can vary depending on jurisdiction, legal standards, and the specific circumstances of the case. The superiority of statistical sampling over non-statistical sampling in legal settings may not be universally recognized or established.
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The actual lower and upper bounds of an interval in a grouped frequency distribution are called the _____ limits.
The actual lower and upper bounds of an interval in a grouped frequency distribution are called the class limits.
In a grouped frequency distribution, data is grouped into intervals or classes to simplify the presentation and analysis of data. Each interval has an upper limit and a lower limit that define its boundaries. The lower limit represents the smallest value within the interval, while the upper limit represents the largest value within the interval.
The class limits are important in determining the range and boundaries of each interval. They help organize the data into meaningful groups and allow for the calculation of various statistical measures such as frequencies, percentages, and cumulative frequencies within each interval. The class limits play a vital role in constructing histograms, frequency polygons, and other graphical representations of the grouped data.
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make r the subject of t = 6r^2 + 6
First step, divide 6 from both sides.
t/6=r^2+1
second step, subtract 1 from both sides
t/6 -1=r^2
Now take the square root of each side.
\(\sqrt{\frac{t}{6}-1}=r\)
Done!
. If m angle TUV = (9x + 1)° , m angle TUW = (7x – 9)°, and m angle WUV = (5x - 11)°, find the value of x.
Yuri thinks that 3/4 is a root of the following function. q(x) = 6x3 + 19x2 – 15x – 28 Explain to Yuri why 3/4 cannot be a root.
Answer:
Yuri is not correct.
Step-by-step explanation:
Given expression is q(x) = 6x³ + 19x² - 15x - 28
If 'a' is a root of the given function, then by substituting x = a in the expression, q(a) = 0
Similarly, for x = \(\frac{3}{4}\),
\(q(\frac{3}{4})=6(\frac{3}{4})^3+19(\frac{3}{4})^2-15(\frac{3}{4})-28\)
= \(6(\frac{27}{64})+19(\frac{9}{16})-15(\frac{3}{4})-28\)
= \((\frac{162}{64})+(\frac{171}{16})-(\frac{45}{4})-28\)
= \((\frac{162}{64})+(\frac{684}{64})-(\frac{720}{64})-\frac{1792}{64}\)
= \(-\frac{1666}{64}\)
= \(-\frac{833}{32}\) ≠ 0
Therefore, Yuri is not correct. x = \(\frac{3}{4}\) can not be a root of the given expression.
Answer:
Did you include the following in your response?
According to the rational root theorem, potential rational roots must be in theform p/q where p is a factor of the constant term and q is a factor of the leading coefficient.
3 is not a factor of 28, and 4 is not a factor of 6. So, 3/4 does not satisfy the rational root theorem.
Substituting 3/4 in for x does not result in 0. The remainder is not 0 when dividing by
x – 3/4
Step-by-step explanation:
sample response edgen 2020
PLEASE HELP ME SOMEONE I NEEDDDDDDD HELP PLEASE QUICK!!!!!!!!
Answer:
2/60 = 1/30 = 3.3%
Step-by-step explanation:
what is a good word problem for 58x+170>42 x+320
Answer:
A money problem is a good one for it. It should be something with a rate.
Answer:
I think something like this would work:
Me and my friend both work for x hours at different jobs. I get 58$ per hour and I already have 170$. My friend gets 42$ per hour, and already has 320. At the end I have more money. How many hours did we work?
Maybe try something like that.
Step-by-step explanation:
Round 103,475 to the nearest ten thousands place:
Answer: 103,000
Step-by-step explanation:
Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?
The inequality that represents all the solutions of -2(3x + 6) ≥ 4(x + 7) is x ≤ -4
How to determine the solution of the inequality?From the question, we have the following parameters that can be used in our computation:
-2(3x + 6) ≥ 4(x + 7)
Divide both sides of the inequality by -2
So, we have the following representation
3x + 6 ≤ -2(x + 7)
Open the brackets
This gives
3x + 6 ≤ -2x - 14
Add 2x to both sides of the inequality
So, we have the following representations
5x + 6 ≤ -14
Subtract 6 from both sides of the inequality
So, we have the following representations
5x ≤ -20
Divide both side of the inequality
x ≤ -4
Hence, the solution is x ≤ -4
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jane took an english test with 42 questions. she answered 28 of them correctly. to pass the test she needed at least 65% correct answers. did she pass the test?
The most appropriate choice for percentage will be given by-
Jane passed the test
What is percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.
For example, 2% means \(\frac{2}{100}\)
Suppose each question is of 1 mark
Total number of questions given to Jane = 42
Number of question Jane answered = 28
Full marks of the english test = 42
Marks obtained by Jane = 28
Percentage marks obtained by Jane = \(\frac{28}{42} \times 100\)
= 66.67%
Which is greater than 65%
So, Jane passed the test
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help which one is it
Answer:
I think it's 3 units to the left and 6 units down
Step-by-step explanation:
Hope I helped!
Convert the polar coordinates to Cartesian coordinates. Leave your answer in terms of radicals if necessary. (7,2π/3)
The Cartesian coordinates corresponding to the polar coordinates (7, 2π/3) are (-7/2, (7√3)/2).
To convert polar coordinates (r, θ) to Cartesian coordinates (x, y), we can use the following formulas:
x = r * cos(θ)
y = r * sin(θ)
We have the polar coordinates (7, 2π/3), we can substitute the values into the formulas:
x = 7 * cos(2π/3)
y = 7 * sin(2π/3)
To simplify the calculations, let's use the trigonometric identities for the cosine and sine of 2π/3:
cos(2π/3) = -1/2
sin(2π/3) = √3/2
Substituting these values, we have:
x = 7 * (-1/2) = -7/2
y = 7 * (√3/2) = (7√3)/2
Therefore, the Cartesian coordinates are (-7/2, (7√3)/2).
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Please determine which of the following are true and which are false; use Definition 3.2 to explain your answers. a. 3|100 b. 3|99 c. -3|3 d. -5|-5 e. -2|-7 f. 0|4 g. 4|0 h. 0|0
a. False, b. True, c. True, d. True, e. False, f. True, g. True, h. True.
According to Definition 3.2, for integers a and b, we say that "a divides b" or "a is a divisor of b" if there exists an integer c such that b = ac.
a. 3 does not divide 100 because there is no integer c such that 100 = 3c.
b. 3 divides 99 because 99 = 3 * 33, where c = 33.
c. -3 divides 3 because 3 = (-3) * (-1), where c = -1.
d. -5 divides -5 because -5 = (-5) * 1, where c = 1.
e. -2 does not divide -7 because there is no integer c such that -7 = -2c.
f. 0 divides 4 because 4 = 0 * 0, where c = 0.
g. 4 divides 0 because 0 = 4 * 0, where c = 0.
h. 0 divides 0 because 0 = 0 * c, where c can be any integer.
Therefore, the true statements are b, c, d, f, g, and h, while the false statements are a and e.
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WILL MARK BRAINLEST | 15 PTS | graph shows two lines, M and N.
A coordinate plane is shown with two lines graphs. Line M has a slope of 1 and passes through the y axis at negative 2. Line N has a slope of 1 and passes through the y axis at negative 2.
How many solutions are there for the pair of equations for lines M and N? Explain your answer.
Source
StylesFormat
Answer:
there are many solutions. when there are two points with one point that intersects, there is one solution. when there are two lines that are parallel, there is no solution. when there are two lines that are the same, there are infinitely many solutions.
Step-by-step explanation:
hope this helps :)