Match each expression with its value. −9 7 −2 Undefined h( 3.999 ) h(4) h(4.0001) h(9)
The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.
Let's match each expression with its corresponding value:
Expression: -9
Value: -9
Expression: 7
Value: 7
Expression: -2
Value: -2
Expression: Undefined
Value: Undefined
Expression: h(3.999)
Value: Undefined
Expression: h(4)
Value: 8
Expression: h(4.0001)
Value: Undefined
Expression: h(9)
Value: Undefined
Now let's explain the reasoning behind each value:
The expression -9 represents the number -9, so its value is -9.
Similarly, the expression 7 represents the number 7, so its value is 7.
The expression -2 represents the number -2, so its value is -2.
When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.
For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.
The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.
Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.
Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.
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Solve the inequality and enter your solution as an inequality comparing the variable to a number x+25>50
Let's solve your inequality step-by-step.
x+25>50
Step 1: Subtract 25 from both sides.
x+25−25>50−25
x>25
Answer:
x>25
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Cartographers, navigators, and surveyors are a few of the professionals that use instruments relying heavily on trigonometry.
Look up these professions and one other not listed and describe how trigonometry is used in each of them. Do you see how trigonometry is important in your everyday life? Why or why not?
Cartographers use trigonometry for topographic mapping, while navigators use it to direct navigation, helping to identify location and distance.
Surveyors, on the other hand, use trigonometry to measure spatial data, such as height and angles of the land and urban and rural georeferencing.
How important is trigonometry?Trigonometry studies the relationships between the sides and angles of a triangle. This calculation instrument is used for studies in various fields of scientific knowledge, such as the study of phenomena in mechanics, engineering and medicine.
Therefore, there are several applications for trigonometry in social daily life, being an instrument that helps in obtaining scientific knowledge and development of society.
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Answer:
This was my answer, I did a lot of research for it
Step-by-step explanation:
According to wonderworksonline.com, "cartographers use the laws of plane trigonometry". This is used for topographical mapping which is a map that includes detailed, accurate landmarks.
Navigators use trigonometry to find directions. According to byjus.com, "with the help of a compass and trigonometric functions in navigation, it will be easy to pinpoint a location and also to find distance as well to see the horizon."
Trigonometry is used in land surveying to measure to height and angles of the land. According to prezi.com, "it can be used to measure the elevation from a certain point to a mountain, the distance between two trees, and distances across lakes."
Another profession that uses trigonometry is astronomy. Trigonometry is used to measure the distance between stars and planets. According to mytutor.co.uk, "this mathematical technique is also used by NASA scientists today when they design and launch space shuttles and rockets."
Trigonometry plays an important part in our everday lives. Without trigonometry, we wouldn't have GPS to navigate us. Trigonometry is also used by flight engineers to decide take off paths. Trigonometry is also used in the medical field for ultrasounds, the process of building prosthetic legs and arms, and surgeries.
if the expression 3x+2 is equal to 15 for some value of x, then what is the value of 9x+5
What is the sum of the two expressions? (2/7x + 5) + (4/7x - 3)
Answer:
= 6/7x+2
Step-by-step explanation:
just remove the parenthesis and combine like terms.
i hope this helps :)
Answer:
Step-by-step explanation:
Combine like terms.
2/7x and 4/7x are like terms
5 and -3 are like terms
\((\frac{2}{7}x + 5) + (\frac{4}{7}x - 3) = \frac{2}{7}x+ \frac{4}{7}x + 5 - 3\\\\\\ = \frac{2+4}{7}x+ 2 \\\\= \frac{6}{7}x+2\)
ill mark brainlist plss help
Answer:
9:1
Step-by-step explanation:
Divide both the numerator and denominator by the GCD
81 ÷ 9
9 ÷ 9
Reduced fraction:
9:1
Therefore, 81/9 simplified to lowest terms is 9/1.
Find m20. The diagram is not to scale.
R
689
33°
Select one:
O a. 79
O b. 101
O c.
89
O d. 112
alternate interior angles
A student takes an exam containing 17 true or false questions. At least 11 correct answers are required to pass. If the student guesses, what is the probability that he will fail
The probability that the student will fail, given that he guesses the answers, is 0.227.
Since there are only two possible outcomes for each question (true or false),
the probability of guessing a correct answer is 1/2 = 0.5.
Likewise, the probability of guessing a wrong answer is also 1/2 = 0.5.
To find the probability of failing the exam,
we need to find the probability of answering less than 11 questions correctly.
Using the binomial probability formula,
the probability of getting k successes (correct answers) in n trials (questions) is given by:
P(k) = (n C k) * p^k * q^(n-k)
where p is the probability of success (getting a correct answer),
q is the probability of failure (getting a wrong answer), and (n C k) is the number of combinations of n things taken k at a time.
In this case,
n = 17, p = 0.5, and
q = 0.5.
The number of ways to get less than 11 correct answers is:
P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)P(X = k) = (n C k) * p^k * q^(n-k)
Substituting the values:
P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)
P(X = 0) = (17 C 0) * (0.5)^0 * (0.5)^17 = 0.0015
P(X = 1) = (17 C 1) * (0.5)^1 * (0.5)^16 = 0.0146
P(X = 2) = (17 C 2) * (0.5)^2 * (0.5)^15 = 0.0586
P(X = 3) = (17 C 3) * (0.5)^3 * (0.5)^14 = 0.1558
P(X = 4) = (17 C 4) * (0.5)^4 * (0.5)^13 = 0.268
P(X = 5) = (17 C 5) * (0.5)^5 * (0.5)^12 = 0.327
P(X = 6) = (17 C 6) * (0.5)^6 * (0.5)^11 = 0.2732
P(X = 7) = (17 C 7) * (0.5)^7 * (0.5)^10 = 0.1537
P(X = 8) = (17 C 8) * (0.5)^8 * (0.5)^9 = 0.0573
P(X = 9) = (17 C 9) * (0.5)^9 * (0.5)^8 = 0.013
P(X = 10) = (17 C 10) * (0.5)^10 * (0.5)^7 = 0.0015
Therefore, P(X < 11) = 0.0015 + 0.0146 + 0.0586 + 0.1558 + 0.268 + 0.327 + 0.2732 + 0.1537 + 0.0573 + 0.013 + 0.0015P(X < 11) = 0.8857
Thus, the probability of failing is: P(fail) = P(X < 11) = 0.8857
The probability that the student will fail, given that he guesses the answers, is 0.227 (rounded to three decimal places).
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First find f+g,f−g, fg and gf. Then determine the domain for each function. f(x)=5x−6,g(x)=x−2 (f+g)(x)= (Simplify your answer. ) What is the domain of f+g ? o [0,[infinity]) o (−[infinity],4/3)∪(4/3,[infinity]) o (4/3,[infinity]) o (−[infinity],[infinity]) (f−g)(x)= (Simplify your answer.) (f−g)(x)= (Simplify your answer.) What is the domain of f−g ? o [0,[infinity]) o (−[infinity],[infinity]) o (−[infinity],1)∪(1,[infinity]) o (1,[infinity])
(fg)(x)= What is the domain of fg ? What is the domain of fg ? o (−[infinity],2)∪(2,[infinity])
o (−[infinity],[infinity])
o (−[infinity],6/5)∪(6/5,[infinity])
o [0,[infinity])
The operations between functions give:
f + g = 6x - 8
f - g = 4x - 4
g×f = f × g = 5x² - 16x + 12
In all cases, the domain is the set of all real numbers:
[-∞, ∞]
How to find the operations between functions?
Here we have the functions:
f(x) = 5x - 6
g(x) = x - 2
Both are linear functions.
The sum between them is;
f + g = f(x) +g(x) = 5x - 6 + x - 2 = 6x - 8
Also a linear function, so the domain is the set of all real numbers.
The subtraction is:
f - g = f(x) - g(x) = 5x - 6 -x +2 = 4x - 4
Also, the domain is the set of all real numbers.
The products are:
f× g = f(x)×g(x)
And that is equal to the product in the other order:
g×f = g(x)×f(x)
Replacing that we will get:
f× g = (5x - 6)*(x - 2) = 5x² - 10x - 6x + 12 = 5x² - 16x + 12
That is a quadratic, so the domain is the set of all real numbers.
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3. Use these properties to rewrite 7/4 + 1/2 + 5/3+1/3+1/4 + 1/2 in a way that makes the addition easier. Explain how your changes simplify the addition. (3 points)
The solution of the sum of the numbers will be 5.
How to do summation?To make the addition easier, we can first simplify the fractions by finding a common denominator. The smallest common multiple of 2, 3, and 4 is 12. We can rewrite the fractions with this denominator:
7/4 = (7/4) x (3/3) = 21/12
1/2 = (1/2) x (6/6) = 6/12
5/3 = (5/3) x (4/4) = 20/12
1/3 = (1/3) x (4/4) = 4/12
1/4 = (1/4) x (3/3) = 3/12
1/2 = (1/2) x (6/6) = 6/12
Now we can add the fractions together:
21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12
Combining like terms, we get:
60/12 = 5
So the sum of the original fractions is equal to 5.
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Calculate the unit price of an 80-ounce bottle of ketchup being sold for $8.50. Show your work: step-by-step
The unit price of the 80-ounce bottle of ketchup is $0.85 per 8 ounces.
To calculate the unit price of a product, we divide the total price by the quantity. In this case, the total price is $8.50 for an 80-ounce bottle of ketchup.
Unit price = Total price / Quantity
Unit price = $8.50 / 80 ounces
Unit price = $0.85 / 8 ounces
Therefore, the unit price of the 80-ounce bottle of ketchup is $0.85 per 8 ounces.
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A scooter travels 30 feet in 2 seconds at a constant speed. b. Complete the double number line to show the distance the scooter travels after 1, 3, 4, and 5 seconds.
Answer:
15 feets ; 45 feets ; 60 feets ; 75 feets
Step-by-step explanation:
Given that:
Moving at a constant speed ; Distance traveled in 2 seconds = 30 feets
The traveling speed = distance / time
Traveling speed = 30 feets / 2 seconds
Traveling speed = 15 ft/s
Distance traveled = traveling speed * time
Distance traveled after 1 second :
Time = 1 second
15ft/s * 1s = 15 ft
Distance traveled after 3 second :
Time = 3 second
15ft/s * 3s = 45 ft
Distance traveled after 4 second :
Time = 4 second
15ft/s * 4s = 60 ft
Distance traveled after 5 second :
Time = 5 second
15ft/s * 5s = 75 ft
If Alex spent $25 on his dinner and he wants to leave the waiter a 19% tip, how much would Alex give as TIP?
Answer:
$4.75
Step-by-step explanation:
Given:
$25
19%
let x = total amount of tip
x = ($25)(19%)
x = $4.75
This is a fun money give away answer what is 300 x j =900
hint:it is between 4 and 1 so let me see what y'all got
I will take it down in the next 5 minutes.
Which statements are true about these lines? Select three options.
Line RS has a slope of 6.
Line SW has an undefined slope.
Line TV has a slope of 0.
Lines RS and TV are parallel.
Line SW is perpendicular to line RS, but not to line TV.
Answer:
Line sw has an underfined slope
Line tv has a slope of 0
Line rs and tv are parallel
Step-by-step explanation: I got it right on my quiz
Using the basics of coordinate geometry, the correct options are options 2, 3, and 4.
When two lines are said to be parallel on coordinate axes?Two lines are said to be parallel if their slopes are equal.
From the diagram, we can say that Line RS is parallel to the x-axis.
So, the slope of the line RS is zero.
Line SW is parallel to the y-axis.
So, the slope of line SW is undefined.
Line TV is parallel to the x-axis.
So, the slope of line TV is zero.
Both the line RS and TV have the same slope i.e. zero so lines RS and TV are parallel.
Line SW is perpendicular to both the line RS and line TV.
Therefore, Using the basics of coordinate geometry, the correct options are options 2, 3, and 4.
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What is the value of a?
Answer:
Any more information to the problem?
Step-by-step explanation:
You deposit $975 in an account that pays 5.5% annual interest compounded continuously. What is the balance after 6 years?
$26,434.82
$1251.36
$2711
$1356.19
The balance after 6 years on an account that pays 5.5% annual interest compounded continuously with an initial deposit of $975 is $1,356.19.
Continuous compounding involves calculating the interest earned on a principal amount continuously over time, which results in a higher overall balance than other compounding frequencies.
Using the formula A = Pe^(rt), where A is the final balance, P is the initial deposit, r is the interest rate, and t is the time, we can calculate the balance after 6 years as A = 975e^(0.055*6) = $1,356.19. Therefore, the correct answer is option D, $1,356.19.
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−
2
x
+
y
=
−
1
2
x
+
5
y
=
7
Answer:
I got you the answer is X = 14 and Y = 35
Exercise
Respond to the following based on your reading.
1. Which numbers are to the right of 0 on the number line?
2. Which numbers are to the left of 0 on the number line?
3. Is 0 an integer?
4. Draw a number line with integers from –3 to 6.
5. Solve the problems:
a. −8 + 0 =
b. 1 × (−14) =
c. 19 ÷ 1 =
d. 0 × 104 =
e. −21 − 0 =
Answer:
please solve this question 4²×3³×(-1)¹²²
Gabi tried to solve an equation step by step.
0.1(0.5m+6)=2
Answer:
m=28
Step-by-step explanation:
0.1(0.5m+6)=2
Distribute
.05m +.6 =2
Subtract .6 from each side
.05m +.6-.6 = 2-.6
.05m = 1.4
Divide each side by .05
.05m/.05 = 1.4/.05
m = 28
Explain how to use a number line to find the sum 7 + −2.
Step-by-step explanation:
start at 7 on the number line. move to the left (because the value is negative) 2 jumps. you will land on 5.
Answer: 5
Step-by-step explanation:
Usually you would just do 7+-2 which is also 7-2 which equals 5 but since it's a number line you do this
You would locate 7 on the number line and do the same for -2
Once done, you would take the distance 2 is from 0 and push 7 there(basically moving it to 5) and that would be how you would use a number line to find the sum of 7 + -2
Now if the 2 was positive, this would be different and you would add the distance making it 9 but since it's negative you push it towards 0 which makes it 5
I hope this helps!
A sales man is paid a basic wage of $225 per week. In addition he is paid a commission of 3% on the value of goods he sells above $5500 . How much commission will he be paid on sales amounting to$12500 and what are his earnings for that week
Answer:
Commission = $375
Total earnings = $600
Step-by-step explanation:
He gets 3% of any sale he makes above %5500 which means his commission received on this sale is;
= 3% * $12500
= \(\frac{3}{100} *\) $12500
= 3* 125
= $375
This means his total earnings for the week will be the basic wage plus his commission
$225 + $375
= $600
Given f(x)=2x^2 evaluate f(-6)
Answer:
f(-6) = 72
Step-by-step explanation:
We are given the function f(x)=2x², and want to find the value of f(-6).
Finding f(-6) means that we want to evaluate the function for when x is equal to -6. In other words, we need to substitute -6 as x (in 2x^2).
So, substitute -6 as x.
f(-6)=2(-6)²
Now, we must follow the order of operations here (PEMDAS, or any other similar abbreviation, depending on your location), meaning that we should take care of the exponent first.
So, raise -6 to the 2nd power (ignore the 2 in front of (-6)² for now).
f(-6)=2(-6)² = -6 * -6 = 36
Now multiply 36 by 2.
f(6) = 2 * 36 = 72
That means f(-6) = 72.
Multiple Choice \( \$ 16.80 \) \( \$ 21.60 \) \( \$ 11.40 \) \( \$ 19.40 \)
If your required return is 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, the approximate amount you would be willing to pay for this investment is $16.80.
To determine the present value of the investment, we need to calculate the discounted value of the future cash flows. In this case, the cash flow is $800 per month, and the time period is 40 years, or 480 months.
Using the formula for present value, which is \(PV = CF / (1 + r)^n\), where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods, we can substitute the given values:
PV = $800 / (1 + 0.06/12)\(^(480)\)
Simplifying the expression, we find that the present value is approximately $16.80. This means that if you want to achieve a required return of 6% per year, compounded monthly, you would be willing to pay approximately $16.80 for this investment.
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The calls of Hazar was 2370 the last month. He received 1645 calls. The calls of Huzan was less than those of Hazar, but Huzan received more calls than Hazar. Write a system of linear inequalities to represent the situation, then solve it to determine the possible number of calls received by Huzan and the number of calls dialled by him.
The possible values of calls recieved by Huzan is more than 1645 and calls made is less than 2370.
What is Inequalities of equations ?
Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.Inequality simply means that two things aren't equal. One of the items could be inferior to, superior to, greater than, or equivalent to the other things.
p ≠ q means that p is not equal to qp < q means that p is less than qp > q means that p is greater than qp ≤ q means that p is less than or equal to qp ≥ q means that p is greater than or equal to q
Different kinds of inequality exist. Important inequities include the following: the inequalities of polynomials
Inequalities in absolute values
Logic-based disparities
Calls made by Hazar = 2370
Calls recieved by Hazar = 1645Let the number of Calls by Huzan be x.
And the number of calls recieved by Huzan be y.
Then the inequalities arex< 2370 and y> 1645
The possible values of calls recieved by Huzan is more than 1645 and calls made is less than 2370.
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solve math problem plsss LOTS OF POINTS
The solution to 0.5^(x + 2) > 9 is x > -5.170
How to solve the inequality expression?The inequality expression is given as:
0.5^(x + 2) > 9
Take the logarithm of both sides of the inequality expression
log(0.5^(x + 2)) > log(9)
Rewrite the inequality expression as
(x + 2)log(0.5) > log(9)
Divide both sides by log(0.5)
x + 2 > -3.170
Subtract 2 from both sides
x > -5.170
Hence, the solution to 0.5^(x + 2) > 9 is x > -5.170
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consider the data points (−5, 5), (0, 5), (5, 4) and (10, 2). compute the least squares error for the given line.
To compute the least squares error for the given line, we need to find the line that minimizes the squared vertical distances between the line and the given data points.
The least squares error represents the sum of the squared differences between the actual y-values and the predicted y-values from the line. Using the given data points (-5, 5), (0, 5), (5, 4), and (10, 2), we can fit a line in the form y = mx + b, where m represents the slope and b represents the y-intercept. By finding the values of m and b that minimize the least squares error, we can determine the best-fit line.
After performing the calculations, the least squares error for the given line can be determined by finding the sum of the squared differences between the actual y-values and the predicted y-values from the line for each data point. This error measurement helps assess the accuracy of the line's fit to the data.
Please note that without the specific values of m and b obtained from the calculations, the exact value of the least squares error cannot be determined.
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1. Find the missing angle. 61 55 51
Answer:
193 degrees
Step-by-step explanation:
61 + 55 + 51 = 167
360 - 167 = 193
Your welcome!
Kayden Kohl
8th Grade Student
Answer:
61+55+51 = 167
360- 167
= 193
Step-by-step explanation:
193°
Hope this helps!!!!!
Simplify 4h + 3h + h
Pleaseee help asap
Thank youuu
Answer:
Combine like terms4ℎ+3ℎ+ℎ8ℎ
Solution8ℎ
Step-by-step explanation: