The zero of f is equal to -12.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.At data point (1, -9) and a slope of 3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-9) = 3(x - 1)
y = 3x - 12
When x = 0, the y-value is given by;
f(0) = 3(0) - 12
f(0) = -12
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Pls help me with this im struggling
RQT = 159
RQS = 69
==============================================
Explanation:
Draw a segment connecting R and S.
Triangle SRQ is a right triangle due to Thale's Theorem. That theorem is a special case of the inscribed angle theorem. The 90 degree angle R is opposite the diameter SQ.
Minor arc QR = 42 degrees. Half of this is 42/2 = 21, which is the measure of inscribed angle RSQ. This inscribed angle subtends minor arc QR.
Focus on triangle SRQ. We have two known angles (R = 90 and S = 21). Let's use them to find the missing angle.
The inside angles of any triangle always add to 180 degrees.
S+R+Q = 180
21+90+Q = 180
111+Q = 180
Q = 180-111
Q = 69
Angle RQS is 69 degrees.
----------------
We'll add angle SQT onto the previous result to get angle RQT.
angle RQT = (angle RQS) + (angle RQT)
angle RQT = (69) + (90)
angle RQT = 159 degrees
Find the missing angles show your work
Answer: see below. the answers are bolded.
Step-by-step explanation:
1. Since x+55 forms a straight line, x+55 = 180. Solve that equation and you get x = 125. All interior angles in a triangle = 180. That means: 55+45+y = 180. Solve that equation and you get y = 80.
2. 110+x forms a straight line. 110+x = 180. Solve that equation and you get x = 70. Now that you have x, and you know that the interior angles of a triangle add up to 180, set up an equation. 70 + 65 + y = 180. Solve, and
y = 45
Hope I helped :)
Pleaseeee helppp in class ASAP!!!
Answer: 678
Step-by-step explanation: ii
Combine like terms to simplify the expression:
Enter any coefficients as simplified proper or improper fractions or integers.
2|5k-3/5+1/10k
The simplified expression of 2|5k - 3/5 + 1/10k| is |51/5k - 6/5|
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
2|5k-3/5+1/10k
Express properly
So, we have
2|5k - 3/5 + 1/10k|
Collect the like terms in the expression
So, we have the following representation
2|5k - 3/5 + 1/10k| = 2|5k + 1/10k - 3/5|
Evaluate the like terms
This gives
2|5k - 3/5 + 1/10k| = 2|51/10k - 3/5|
Expand the brackets
2|5k - 3/5 + 1/10k| = |51/5k - 6/5|
Hence, the simplified expression of 2|5k - 3/5 + 1/10k| is |51/5k - 6/5|
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Nippon is taking a quiz that consists of 4 true-false questions. If he guesses on each question, what's the probability that Nippon will get 100% on the quiz? 1/2 1/4 1/16 1/8
The probability that Nippon will get 100% on the quiz by random guessing is 1/16.
To calculate the probability of Nippon getting a 100% on the quiz by guessing on all 4 true-false questions, you need to consider the probability of guessing correctly on each individual question.
The probability of guessing correctly on a single true-false question is 1/2, as there are two possible answers (true or false).
Since there are 4 questions, you need to find the probability of guessing correctly on all 4 questions.
To do this, you multiply the probabilities of guessing correctly on each individual question: [tex](1/2) \times (1/2) \times (1/2) \times (1/2).[/tex]
When you multiply these probabilities, we get (1/16), which is the probability of Nippon getting 100% on the quiz by guessing on all 4 true-false questions.
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Mr. Lucci put together 5 bags of pens. He put 19 black pens and 12 red pens in each bag.
Which expression shows the total number of pens Mr. Lucci put into bags?
A. (5x 19) + 12
B. 5x (1912)
C. 5+ (19 x 12)
D. (5+19) x 12
Answer:
5 (19 + 12)
Step-by-step explanation:
You add up the red and black pens and multiply by 5, which indicates the 5 bags
Need help in this question please
a. The values of k for which points A, B, and C are collinear are k = 3 and k = -2.
b. The value of k for which AB is parallel to CD is k = 13.
How to calculate the valuea. slope AB = (k+4-9)/(k+1-0) = (k-5)/(k+1)
The slope of AC is:
slope AC = (k+3-9)/(2k-0) = (k-6)/(2k)
Since A, B, and C are collinear, slope AB = slope AC. Therefore, we have:
(k-5)/(k+1) = (k-6)/(2k)
2k(k-5) = (k+1)(k-6)
2k^2 - 10k = k² - 5k - 6
k = 3 or k = -2
(b) The slope of AB is:
= (k+4-9)/(k+1-0) = (k-5)/(k+1)
The slope of CD is:
= (k+6-k-3)/(2k+2-2k) = 3/2
Since AB is parallel to CD, slope AB = slope CD. Therefore, we have:
(k-5)/(k+1) = 3/2
2(k-5) = 3(k+1)
k = 13
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How can I do this math ?
53 = 43 + v, so substitute each number for V and see if it equals 53.
v = 8 >>> NO
53 = 43 + 8 >>> Nope. This is 51
v = 10 >>> YES
53 = 43 + 10 = 53 >>> Yup! This works.
v = 96 >>> NO
53 = 43 + 96 >>>> Nope, this doesn't add up.
V = 6 >>> NO
53 = 43 + 6 = 49 >>> Nope this doesn't add up.
Based on the model, the company hired approximately workers in 2019.The r2 value for this model is 0,56, indicating that this functions good model of the data
Answer:
Step-by-step explanation:
so how to help you but you do a good job
A cylinder with a diameter 6 of mi and a height of 7 mi
With the values provided, we can find both the volume and surface area.
Volume:
Formula = pi x r^2 x h
---r is the radius, h is the height
Volume = pi x (3)^2 x 7
Volume = pi x 36 x 7
Volume = 252pi mi^3 = 791.68 mi^3
Surface Area:
Formula = 2 x pi x r x h + 2 x pi x r^2
---r is the radius, h is the height
Surface Area = 2 x pi x 3 x 7 + 2 x pi x (3)^2
Surface Area = 42pi + 18pi
Surface Area = 60pi mi^2 = 188.50 mi^2
Hope this helps!
Help pls! ( Don’t mind this text)
The above is a long division problem, where 40 is the divisor and 10 is the dividend. the answer is 00.250 or 0.250. Long division is also called synthetic division.
How did we arrive at this?
00. 250___________________
40 | 10.000
- 0
1 0
- 0
1 0 0
- 80
2 0 0
- 2 0 0
0 0
- 0
0
Note that the answer is given in three decimal places that is 0.250
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There are 16 equally likely outcomes on a spinner, numbered 1 through 16. What are the odds against stopping on a number less than 12?
The odds against stopping on a number less than 12 is 5 ; 11
How to determine the odds against stopping on a number less than 12?From the question, we have the following parameters that can be used in our computation:
Sections in the spinner = 16
This means that the probability of getting a number less than 12 is
P(Number less than 12) = Sections less than 12/Sections in the spinner
There are 11 sections less than 12
So, we have
P(Number less than 12) = 11/16
When represented as odds, we have
P(Number less than 12) = 16 - 11 : 11
Evaluate the difference
P(Number less than 12) = 5 : 11
Hence, the odds against stopping on a number less than 12 is 5 ; 11
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[45 - (25 +8)] X 18 I NEED THE ANSER
Answer:
216.
Step-by-step explanation:
To solve this expression, you can first simplify the expression inside the parentheses:
45 - (25 + 8) = 45 - 33 = 12
Then you can substitute this simplified expression back into the original equation and multiply by 18:
(12) X 18 = 216
PLEASE HELP! I WILL GIVE BRAINLIEST!! A worker at an animal shelter recorded data about the adoption of cats in the table shown below.
Based on the table, which of these statements are true? Choose all that are correct.
a
Of all the cats adopted, 34.9% are between 6 months and 1 year old
b
Of the cats 1 year or older, about 58% took more than 1 month to be adopted.
c
Of all the cats adopted, about 66% were adopted in a month or less.
d
Of the cats that took more than a month to adopt, 12.5% were younger than 6 months
e
Of the cats who took 1 to 7 days to be adopted, 25% were between 6 months and 1 year old.
A circle has a radius of 30 cm and a central angle that measures 312 degrees. Find the length of the arc defined by this central angle
The length of the arc defined by the central angle of 312 degrees is 26π cm.
The formula for the arc length of a circle is given by:
L = (θ/360) × 2πr
where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.
Substituting the given values, we get:
L = (312/360) × 2π(30)
L = (26/30) × π × 30
L = 26π cm
Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.
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POLICEE HELPPPPP. POLICE HELPPPP. IM GIVING OUT 5O POINTS BRO IM DESPERATE I NEED HELPPPPPP. HELP HELP HELP HELP HELPPPPP.
Answer:
[tex]g(x) = f(x) - 4[/tex]
Step-by-step explanation:
We have been given a graph for f(x) and a table for g(x) and we have to find the transformation to map f(x) to g(x)
Let's find the function values for f(x) and g(x) at specific (easily distinguishable) x values for both
x f(x) from graph g(x) from table
0 4 0
1 3 -1
2 4 0
The function values for f(x) for x = -1 and x = 3 are a bit difficult to read since they do not cross at a grid intersection
From the above table we see that for a specific x, g(x) value is 4 less than the f(x) value
Therefore the transformation is
g(x) = f(x) - 4
Therefore g(x) is shifted downward by 4 points
I have plotted both f(x) and g(x) using the transformation; You can see the points fit
[tex]-------------------------------[/tex]
Ignore this part if you wish
The equation for f(x) is
f(x) = (x - 1)² + 3 in vertex form
or
f(x) = x² − 2x + 4 in polynomial form
g(x) will then be
x² - 2x + 4 - 4 = x² -2x
You got a new TV. The dimensions of the TV are 48 inches by 27 inches. What is the size of
the TV?
You win $12,000 in the lottery. You decide
to deposit the money in a savings account
until you graduate from college in 7 years.
Your bank can give you an interest rate of
7.5% compounded continuously. How
much will you have in your account after
7 years?
Please give me a hand
After 7 years, you will have approximately $[tex]24,156.36[/tex] in your savings account.
To calculate the final amount in your savings account after 7 years with continuous compounding, we can use the formula for compound interest with continuous compounding:
[tex]\[ A = P \times e^{rt} \][/tex]
Where:
- A is the final amount in the account
- P is the initial principal (the amount you deposit)
- e is Euler's number (approximately 2.71828)
- r is the interest rate (expressed as a decimal)
- t is the time period in years
In this case, you have won $12,000 in the lottery, so P = $12,000. The interest rate is [tex]7.5\%[/tex], which is equivalent to [tex]0.0.75[/tex] in decimal form. The time period is [tex]7[/tex] years.
Plugging these values into the formula, we get:
[tex]\[ A = 12000 \times e^{0.075 \times 7} \][/tex]
Calculating the exponential term:
[tex]\[ e^{0.075 \times 7} \approx 2.013 \][/tex]
Substituting this back into the equation:
[tex]\[ A = 12000 \times 2.013 \]\[ A \approx 24156.36 \][/tex]
So, after 7 years, you will have approximately $[tex]24,156.36[/tex] in your savings account.
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HELPPPPPP WILL GIVE BRAINLESS
The coordinates of point A' are (4,1) in the given rectangle.
According to the shown figure, the coordinate of the given rectangle can be written as:
The coordinates of vertice A are (4, 3)
As we know that the x-coordinate of the reflected point will be the same as the x-coordinate of the original point.
Therefore, the x-coordinate of point A' will be:
x-coordinate of A' = 4
Here, the y-coordinate of point A is 3, which is 1 unit above the line y = 2. So, the reflection of point A across the line y = 2 will be 1 unit below the line y = 2.
So, the y-coordinate of point A' will be:
y-coordinate of A' = 2 - 1 = 1
Therefore, the coordinates of point A' are (4,1).
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Bank a charged 45 $ monthly fee with unlimited transaction. Bank b charged 20$ monthly fee plus 0.70for each transaction
Transactions are larger than others Bank B may be the cheaper option even if you make more than 35 transactions.
To compare the cost of using Bank A and Bank B need to consider the total cost based on the number of transactions.
Let's say you make x transactions in a month.
For Bank A the monthly cost is a fixed fee of $45 regardless of the number of transactions.
For Bank B the monthly cost is a fee of $20 plus $0.70 for each transaction.
So the total cost for Bank B is:
Total cost = $20 + $0.70x
The break-even point where the total cost of Bank A and Bank B are equal need to solve the following equation:
45 = 20 + 0.70x
Subtracting 20 from both sides, we get:
25 = 0.70x
Dividing both sides by 0.70, we get:
x = 35.71
If you make more than 35 transactions in a month Bank A is the cheaper option.
If you make fewer than 35 transactions Bank B is the cheaper option.
Analysis assumes that all transactions are of the same amount.
To compare the total cost of both banks based on the actual amounts of the transactions.
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QUESTION 3
Elvis Louw has organized a hall for Mother's day celebration. He invited 150 guests and 2 motivational
3.2
Table
1,8 m
Walking space
Chair 45 cm
Chair 45 cm
NOTE:
Dimensions of the hall: 23 m x 18 m.
The venue includes round tables with a diameter of 1,8 m that can each seat 10 persons.
Use the information above to answer the questions that follow.
3.1
Define the term "Diameter" according to the given context.
Elvis Louw calculated that they need 9 m² per round table. He claims that 30 of the
(2)
(5)
round tables will fit into the space.
Verify Elvis Louw's claim that 30 tables will fit into the space.
You may use the following formula: Area of a rectangle length x breadth
3.3 Calculate the amount of walking space between two tables at the point where they are (5)
the closest, if the space allowed per chair is 45 cm.
(12)
The amount of walking space between two tables at the point where they are the closest is 0.9 m.
We are given that;
The space allowed per chair = 45 cm.
Number of tables=30
Now,
we find the length of a side of a square that contains a table by adding twice the radius of a table to twice the space allowed per chair. The formula is: side length=2×radius+2×space per chair
Plug in the given values and simplify. The calculation is: side length=2×0.9+2×0.45=2.7
Now subtract the diameter of a table from the side length to get the walking space between two tables. The formula is: walking space=side length−diameter
Plug in the given values and simplify. The calculation is: walking space=2.7−1.8=0.9
To express our answer in meters. walking space=0.9 m
Therefore, by the algebra the answer will be 0.9 m.
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need to find the population variance and standard deviation of the values 15 43 2 19 26 14 and 16
Answer:11.7
Step-by-step explanation:
σ =√137.63265306122
σ= 11.731694381513
Solve the following equation. 25 + 2 � = 3 ( 4 � + 3 ) 25+2x=3(4x+3)
The solution to the equation is x = 1.6.
Let's start by distributing the 3 on the right side of the equation:
25 + 2x = 12x + 9
Next, we can simplify the equation by moving all the x terms to one side and all the constant terms to the other side. To do this, we'll subtract 2x from both sides:
25 = 10x + 9
Then, we'll subtract 9 from both sides:
16 = 10x
Finally, we'll divide both sides by 10:
x = 1.6
So the solution to the equation is x = 1.6.
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HELP PLEASE URGENT!!!!
The difference between the interquartile range of Matt's remaining vacation days an Linda's remaining vacation days is given as follows:
-3.5.
How to obtain the interquartile range?The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.
Matt's ordered data-set is given as follows:
5, 9, 11, 12.
Hence the quartiles are:
Q3 = 11.5 -> Mean of the last two elements.Q1 = 7 -> Mean of the first two elements.Hence the IQR is of:
IQR = 11.5 - 7 = 4.5.
Linda's ordered data-set is given as follows:
0, 6, 9, 13.
The quartiles aret
Q3 = 11.Q1 = 3.The IQR is of:
IQR = 11 - 3 = 8.
Hence the difference is of:
4.5 - 8 = -3.5.
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PLEASEEEEEEEE HELP WHAT IS THE APOTHEM..
The # are the blue ones. Please help me
Answer:
it is 20.00 hope this answer helps.
A rectangular prism with a 8-centimeter length, a 4-centimeter width,
and a 5-centimeter height is placed on a rectangular prism with a 14-
centimeter length, a 8-centimeter width, and a 1-centimeter height.
6 cm
4 cm
5 cm
14 cm
1 cm
8 cm
What is the volume of the composite solid?
The volume is cubic centimeters.
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student has a brother given that they
have a sister?
Answer:
The answer is zero.
Step-by-step explanation:
The total of individual weights of garbage discarded by 20 households in one week is normally distributed with a mean of 32.9 lbs with a sample standard deviation of 14.8 lbs. Find the 95% confidence interval of the mean.
< Select an answer <
Do not round in between steps. Round answers to at least 4 decimal places.
The 95% confidence interval of the mean is approximately (26.4121, 39.3879) lbs.
How to solve for the confidence intervalsince df = n - 1 = 20 - 1 = 19). You can find this value using a t-distribution table or an online calculator.
For a 95% confidence level and 19 degrees of freedom, the t-score is approximately 2.093.
Now, let's calculate the margin of error (E):
E = 2.093 * (14.8 / √20)
E ≈ 6.4879
Finally, we'll find the confidence interval:
Lower Bound = x - E = 32.9 - 6.4879 ≈ 26.4121 lbs
Upper Bound = x + E = 32.9 + 6.4879 ≈ 39.3879 lbs
The 95% confidence interval of the mean is approximately (26.4121, 39.3879) lbs.
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if 12 people get a collective number of 775 questions in a 7 day period how man questions are being asked in a day
The number of questions asked in a day is A = 110
Given data ,
To determine the number of questions being asked in a day, we need to divide the total number of questions by the number of days.
Now , 12 people are collectively asking 775 questions in a 7-day period.
So , the number of questions being asked in a day, we divide 775 by 7
A = 775 / 7
On simplifying the equation , we get
A ≈ 110.71
Hence , 110.71 questions are being asked in a day
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|7+(-12)|+|-16| add this together
Answer: 21
Step-by-step explanation:Given:
|7 + (-12)| + |-16|
Absolute value of -16:
|7 + (-12)| + 16
Addition times subtraction is subtraction:
|7 - 12| + 16
Subtract:
|-5| + 16
Absolute value of -5:
5 + 16
Add:
21