Answer:
x=47°
Step-by-step explanation:
..,........................
Answer:
I believe it is 47.
Step-by-step explanation: The reason why is because for a right angle it must be 90 degrees So, the way I solved this was getting 90-43 I got the 43 from BCD. then subtracted it and applied it to the other side, keep in mind I am only a freshman and it might be wrong super tiny chance but it might.
I need help for this question
(a) Function formula of f(t) in terms of t is, f(t)=17-1.3t
(b) The domain of the function is 0 to 13.076.
(c) The range is 0 to 17
(d) 9.38 is the value exist for f(t)=4.8
(e) The correct option of this sub part is How many hours since the candle was lit when it is 4.8 inches long.
What is a Function?An input and an output are connected by a function. It functions similarly to a machine with an input and an output. Also, the input and output are somehow connected.
Solution of sub part (a)The initial length of the candle is 17 inch. It also given that, it burns with a constant rate of 1.3 inches per hour.
After one hour since the candle was lit, the length of the candle will be (17 – 1.3) = 15.7 inch.
After two hour, since the candle was lit, the length of the candle will be (15.7-1.3) = 14.4 inch.17 - 2(1.3) can be used to represent the candle's length after two hours.
Hence, the length of the candle after t hours when it was lit can be represented by the function, f(t)=17-1.3t
Solution of sub part (b)Putting f(t)=0 in the equation, we get
0=17-1.3t
-17=-1.3t
t=13.076
Hence, The domain of the function is 0 to 13.076
Solution of sub part (c)Putting t=0 in the equation, we get
f(t)=17-1.3t
f(t)=17-1.3×0
f(t)=17
Hence, The range is 0 to 17.
Solution of sub part (d)putting f(t)=4.8 in the equation we get
4.8=17-1.3t
4.8-17=-1.3t
t=9.38
Hence, the value of t for f(t) =4.8 is 9.38.
Solution of sub part (e)When the candle was 4.8 inches long, then time taken to lit from the equation is 9.38 hours.
Hence, The correct option of this sub question is How many hours since the candle was lit when it is 4.8 inches long.
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Which of the following is not a Quadrilateral
Answer:
triangle?
Step-by-step explanation:
Answer:
A circle
Step-by-step explanation:
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Which answers describe the shape below? Check all that apply.
A. Rectangle
B. Rhombus
C. Quadrilateral
D. Square
E. Parallelogram
F. Trapezoid
Answer:
E and C
Step-by-step explanation:
Divide 7 by 4 then add f to the results
Answer:
1.78f
Step-by-step explanation:
7/4=1.78 and then you add f
Is (2, 3) a solution to this system of equations?
y = -2x + 7
y = x + 1
yes
no
Answer:
Yes.
Step-by-step explanation:
(2, 3) means we'll let x be 2 and y be 3. Let's solve both equations first:
y = -2x + 7
3 = -2(2) + 7
3 = -4 + 7
:. 3 = 3
Okay, so one half is proven. Let's do the other half now.
y = x + 1
3 = 2 + 1
3 = 3
:. (2,3) is a solution to the system of equations.
determine the coordinates of the intersection of the diagonals of abcd with vertices a(-4, 6), b(5, 6), c(4, -2), and d(-5, -2).
The coordinates of the intersection of the diagonals of abcd with the given vertices are (0,2).
The equation of diagonal AC is the equation of the line joining
(−4,6) and (4,−2)
Using the two point formula of a line, we have
(y−6) / (x+4) = 6−(−2) / (−4−4)
x + y = 2
The equation of diagonal BD is the equation of the line joining
(5,6) and (−5,−2)
Using the two point formula of a line, we have
(y−6) / (x−5) = 6−(−2) / 5−(−5)
5y = 4x+10
Multiply equation x + y = 10 by 5 to get 5x+5y=10
Replace 5y=4x+46 using 5x+5y=10
5x + (4x+10) = 10
5x + 4x +1 0 = 10
9x + 10 = 10
9x=0
x=0
Substitute x=0 in eqn(1), To get 0+y=2
y=2
The point of intersection of the diagonals of the given quadrilateral is (0,2)
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Which of the following is the value of a when the function f(x) = 3|x| written in the standard form of an absolute value function?
–1
–3
1
3
Answer: -1 Is the answer.
The number of salespeople assigned to work during a shift is apportioned based on the average number of customers during that shift. Apportion 16 salespeople using Jefferson's method given the information below.
Shift Morning Midday Afternoon Evening
Average number of customers 125 280 460 560
Salespeople to assign
What modified divisor did you use?
a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:
Shift Morning Midday Afternoon Evening Total
Number of
salespeople assigned 1 3 5 7 16
b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.
What is the standard divisor?The standard divisor shows the ratio of the total population to the number of seats.
The standard divisor gives an insight about the number of people each seat represents.
Standard divisor = Total number of customers / Total number of salespeople
The total number of customers = 1,425
The number of salespeople = 16
a) Standard divisor = 1,425 ÷ 16
= 89.0625
Shift Morning Midday Afternoon Evening Total
Average number of
customers 125 280 460 560 1,425
Standard divisor 89.0625 89.0625 89.0625 89.0625
b) Modified divisor 1.4035 3.1438 5.165 6.288
Number of
salespeople assigned 1 3 5 7 16
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i need help with this
find the selling price for the item flash drive: $12 markup:35%
Answer:
16.2
Step-by-step explanation:
12*1.35=16.2
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Determine the average rate of change of this function over the interval -2≤x≤4
The rate of change of the function h(x) = 2x on the interval 2 ≤ x ≤ 4 is 6.
the statistical method used to predict values of one numerical variable based on the values of another is___
The statistical method used to predict the values of one numerical variable based on the values of another is regression analysis.
Regression analysis:
Regression analysis is a statistical method that shows the relationship between two or more variables. Usually expressed in a graph, the method tests the relationship between a dependent variable against independent variables.
Regression analysis is used to estimate the relationship between a dependent variable and one or more independent variables.
The common form of regression analysis is linear regression. Regression analysis allows us to infer that there is a relationship between two or more variables.
Therefore regression method is used to predict values of one numerical on another.
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Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
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What is 6721 x 381 divided by 14 + 84
Answer: 26129.6
Step-by-step explanation:
6721 x 381 = 2560701
14 + 84 = 98
2560701 / 98 = 26129.6
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
salaries of nurses in southern california are normally distributed with a mean of $6250 and a standard deviation of $250. what is the probability the mean salary of 25 randomly selected nurses is below $6150 or is above $6350 a month
Step-by-step explanation:
z-score of X = 6150
\( \frac{6150 - 6250}{250} = - 0.4 \\\)
z-score of X = 6350
\( \frac{6350 - 6250}{250} = - 0.4\)
P(X<6150) + P(X>6350)
=P(z<-0.4) + P(z>-0.4)
=0.3446+0.3446
=0.6892
1. Solve the system and find the solution.*
3x + 4y= 4
y = 3x - 14
PLS HELP! weights (in pounds) of catfish caught in the river: 4.8 3 2.7 4.4 4.8 9.9 What is the outlier? A) 3 lbs B) 4.8 lbs C) 9.9 lbs D) none
The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.
What is an outlier?An outlier is an observation that is much higher or lower than the other observations in a dataset.
In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.
Therefore, 9.9 lbs is the outlier in this dataset.
To find the outlier in this dataset, we can calculate the interquartile range (IQR).
This is done by first calculating the first quartile (Q1) and third quartile (Q3).
The Q1 for this dataset =3.75
and the Q3= 4.675.
IQR= Q3 - Q1
= 0.925.
We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.
The upper boundary is Q3 + (1.5 x IQR)= 6.4865.
Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.
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Marcus bought w childrens's movie tickets for $5 each and n adult's movie tickets for $11 each. Write an algebraic expression for total amount Marcus spent.
Answer:
5w+11n
:D
Hope this helped!
My regards
By drawing a diagram, determine the distance travelled south and the distance travelled
east by a plane flying on a bearing of 140 degrees for 90km
Sure, here is a diagram of a plane flying on a bearing of 140 degrees for 90km:
[Image of a plane flying on a bearing of 140 degrees for 90km]
The distance traveled south is 60km and the distance traveled east is 53.5km.
To calculate the distance traveled south, we can use the following formula:
distance = (90km * sin(140 degrees)) / 180 degrees
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This gives us a distance of 60km.
To calculate the distance traveled east, we can use the following formula:
distance = (90km * cos(140 degrees)) / 180 degrees
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This gives us a distance of 53.5km.
Alana is buying a new car. There are 6
different models to choose from, each
with 3 exterior colors available. How
many different cars can Alana order?
Question
A farmer notices that there is a linear relationship between the number of bean stalks, n, she plants and the yield, Y. When
she plants 3 stalks, each plant yields 115 ounces of beans. When she plants 8 stalks, each plant yields 190 ounces of beans.
Write the linear equation, Y(n), that correctly represents this situation.
Provide your answer below:
Y(n)=
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The equation that represent the given situation is y = 15x + 70
When she plants 3 stalks, each plant yields 115 ounces of beans
The first point = (3, 115)
When she plants 8 stalks, each plant yields 190 ounces of beans
The second point = (8, 190)
The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)
Substitute the values in the equation
The slope of the line m = (190-115) / (8-3)
= 75/5
= 15
The point slope form is
\(y-y_1=m(x-x_1)\)
Choose one point and substitute the values in the equation
y - 115 = 15(x - 3)
y - 115 = 15x - 45
y = 15x - 45 + 115
y = 15x + 70
Hence, the equation that represent the given situation is y = 15x + 70
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how do I solve for n
Answer:
n=14
Step-by-step explanation:
2x14=28-3=25
25/5 = 5
A password with 6 characters is randomly selected from the 26 letters of the alphabet.
What is the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent?
We can see here that the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent is = 9.8%.
What is probability?Probability is a measure of how likely an event is to happen. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.
The probability of an event can be calculated using the following formula:
Probability = Favorable Outcomes / Total Outcomes
The number of possible passwords is:
26 × 26 × 26 × 26 × 26 × 26 = 308,915,776.
The number of passwords with no repeated letters is
26P6 = 30,260,000.
The probability of a password having no repeated letters is
= 30,260,000 / 308,915,776 = 0.09779 = 9.78%.
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Sample survey questions are usually read from a computer screen. In a computer-aided personal interview (CAPI), the interviewer reads the questions and enters the responses. In a computer-aided self interview (CASI), the interviewer stands aside and the respondent reads the questions and enters responses. One method almost always shows a higher percent of subjects admitting use of illegal drugs. Which method
Answer:
CASI
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
Sample survey questions are usually read from a computer screen. In a computer-aided personal interview (CAPI), the interviewer reads the questions and enters the responses. In a computer-aided self interview (CASI), the interviewer stands aside and the respondent reads the questions and enters responses. One method almost always shows a higher percent of subjects admitting use of illegal drugs.
This is because they get to interact with a computer rather than a human interviewer.
A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8).
y -(-8) = -6(x - 2)
y -(-8) = -6x + 12
y -(-8) + 8 = -6x + 12 + 8
y = -6x + 20
Explain why the work is not correct.
Answer:
y = -6x + 20
Step-by-step explanation:
Answer:
This is not correct because it shows y+10 minus y but thats not correct!
Step-by-step explanation:
in induction, you look for a pattern and then form an educated guess or?
Answer:
look for a pattern then take an estimate or 'educated guess'
Step-by-step explanation:
Answer:
The answer is conjugation
Hope this helps!
- Darrell Morris has a family plan. The HMO annual premium is $12,240. The employer pays 90% of the cost.
a) How much is Darrell's annual contribution? b) How much is his semimonthly deduction?
Answer:The employer pays .90 * 12240 = $ 11016. The emplyee pays .10 *12240 = $ 1224 = annual contribution. Contribution rate = (100% - 90%) = 10%.
Step-by-step explanation:
Answer:
a) $1,224
b) $51
Step-by-step explanation:
a) To calculate Darrell's annual contribution, we need to determine the portion he pays out of the total premium.
Given that the employer pays 90% of the cost, Darrell is responsible for the remaining 10%.
Annual contribution = Total premium × 10%
= $12,240 × 0.10
= $1,224
Therefore, Darrell's annual contribution is $1,224.
b) To find Darrell's semimonthly deduction, we divide his annual contribution by the number of semimonthly periods in a year.
Number of semimonthly periods in a year = 12 (months) × 2 (semimonthly periods per month) = 24
Semimonthly deduction = Annual contribution / Number of semimonthly periods
= $1,224 / 24
= $51
Therefore, Darrell's semimonthly deduction is $51.
Hope this helps!
Donna finished 67% of her homework. What fraction of her homework is
completed?
67/10
0.67/100
67/100
67/1000
Answer:
67/100
Step-by-step explanation:
Percent means out of 100.
67% = 67/100
Answer:
67/100
Step-by-step explanation:
When we say Donna has completed 67% of her homework, we are referring to a percentage, which is a way of expressing a part out of 100. In this case, the percentage is 67%.To convert a percentage to a fraction, we can simply write the percentage as a fraction with 100 as the denominator. In this case, since the percentage is 67%, the fraction would be 67/100.\(67\%=\dfrac{67}{100}\)A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 442 gram setting. It is believed that the machine is underfilling the bags. A 44 bag sample had a mean of 438 grams. Assume the population variance is known to be 576. A level of significance of 0.1 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.
Answer:
p value is 0.1343
Step-by-step explanation:
Null: u>= 442
Alternative: u < 442
Using the formula for z score:
(x - u)/sd/√n
Where x is 438, u = 442 sd can be determined from the variance = √variance =√576 = 24 and n = 44
z score = 438-442 / (24/√44)
z score = -4/(24/6.6332)
z = -4/3.6182
z =-1.1055
Now let's find the p value at 0.1 significance level using a z score of -1.1055, using a p value calculator, p value is 0.1343 which greatest than 0.1 meaning the day is not sufficient enough to conclude that the machine is underfilling the bags.