Answer:
-1
Step-by-step explanation:
Find the value of X.
to
67°
56°
Answer:
x = 57
Step-by-step explanation:
180 degrees in a triangle
67 + 56 = 57
==================================================
Explanation:
The three angles of any triangle always add to 180
x+67+56 = 180
x+123 = 180
x+123-123 = 180-123 .... subtract 123 from both sides
x = 57
The missing angle is 57 degrees
-------------
Check:
x+67+56 = 57+67+56 = 180
Answer is confirmed.
--(12x – 20) = 5 - 3x
Answer:
Step-by-step explanation:
distrbut the negative
-12x+20=5-3x
then add 3x =-9
then u subtract 20
then it is -15
-9x=-15
then u dived by -9
the u get positive
x=15/9
What are m ∠DBC, m ∠ABD, and m ∠ABC
\(\\ \sf\longmapsto 2x+1+4x+19=8x-10\)
\(\\ \sf\longmapsto 6x+20=8x-10\)
\(\\ \sf\longmapsto 8x-6x=20+10\)
\(\\ \sf\longmapsto 2x=30\)
\(\\ \sf\longmapsto x=15\)
Now
<DBC=4(15)+19=60+19=79<ABD=2(15)+1=30+1=31<ABC=79+31=110Hello inquins!
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
What are m ∠DBC, m ∠ABD, and m ∠ABC.
\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
We can see from the figure that,
∠ABC = ∠ABD + ∠DBC ------- eq. (1)
The values of the angles are given as :-
∠ABC = 8x - 10∠ABD = 2x + 1∠DBC = 4x + 19Now, let's substitute these values in eq. (1) & solve it.
∠ABC = ∠ABD + ∠DBC
\( \tt \: 8x - 10 =( 2x + 1) +( 4x + 19) \\ \tt 8x - 10 = 2x + 1 + 4x + 19 \\ \tt 8x - 10 = 2x + 4x + 1 + 19 \\ \tt 8x - 10 = 6x + 20 \\ \tt 8x - 6x = 20 + 10 \\ \tt \: 2x = 30 \\ \tt \: x = \frac{30}{2} \\ \underline{\underline{ \bf \: x = 15}}\)
The value of x is 15.__________________
Now, let's find the measure of the angles.
m ∠ABC = 8x - 10 = 8(15) - 10 = 110°.m ∠ABD = 2x + 1 = 2(15) + 1 = 31°.m ∠DBC = 4x + 19 = 4(15) + 19 = 79°.__________________
Hope it'll help you!
ℓu¢αzz ッ
What is the probability of NOT drawing a face card from a standard deck of 52 cards.
8 over 13
3 over 13
10 over 13
1 half
The probability of NOT drawing a face card from a standard deck of 52 cards is 10 over 13.
First determine the total number of face cards and non-face cards in a standard deck of 52 cards. In a standard deck, there are 12 face cards (3 face cards per suit: Jack, Queen, and King, and 4 suits: Hearts, Diamonds, Clubs, and Spades). This means there are 52 - 12 = 40 non-face cards.
Now, we'll calculate the probability of NOT drawing a face card:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability of NOT drawing a face card = (Number of non-face cards) / (Total number of cards)
Probability = 40 / 52
Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (4):
Probability = (40/4) / (52/4)
Probability = 10 / 13
So, the probability of NOT drawing a face card from a standard deck of 52 cards is 10/13. Your answer: 10 over 13.
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9x + 6 – 4x – 1x + 1 – 10
Answer:
4x-3
Step-by-step explanation:
9x+6-4x-1x+1-10
9x-4x-1x+7-10
5x-1x+7-10
4x-3
Select the correct answer.Consider the piecewise function shown on the graph.A10-8642-10-8-6-44-2 02-26810-4-6-8-10Over which interval of the domain does the graph represent an exponential function?A.-3
Solution
The exponential function
\(x\ge1\)
The final answer
Option B
Two-step inequalities
Find the solution set of the inequality
4.2 - 1< 11.
Answer:
x < 3
Step-by-step explanation:
Your inequality: 4x - 1 < 11
4x - 1 < 11
Add 1 to both sides
4x < 11 + 1
4x < 12
**Don't switch signs because no negatives nor any specifications**
Divide 12 by 4
x < 3
a sample obtained in such a way that every element in the population has an equal chance of being selected is called a/an _______ sample.
The correct term for a sample obtained in such a way that every element in the population has an equal chance of being selected is a "random sample."
In a random sample, each member of the population has an equal probability of being chosen, providing a representative subset of the population. This sampling method helps to reduce bias and ensures that the sample is more likely to accurately reflect the characteristics of the entire population.
Random sampling is a fundamental principle in statistics and research, allowing for generalizations and inferences to be made about the population based on the characteristics observed in the sample. It is widely used in various fields, such as social sciences, market research, and opinion polls, to draw meaningful conclusions about a larger population.
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a lecture hall has 200 seats with folding arm tablets 30 of which are designed
There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.
1. First we need to identify the total number of seats in the lecture hall which is 200.
2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.
3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.
4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.
The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.
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Solve by substitution.
y = 2.3 - 11
-2 + y = -4
Solution:
Answer:
Number 1: -8.7. Number 2: -2
Step-by-step explanation:
To find the first one, subtract 11 from 2.3.
2.3-11= -8.7 , so that's the answer for the first one.
To find the answer to the second one, just do -4+-2=-2, so that's the answer for the second one.
What is the range of the function y=e4+1 graphed below?
A 5 1/2 inch candle burns down in 11 hours. how far has it burned after 6 1/2 hours?
The candle has burned down \(3 \frac{3}{4}\) inches after 6.5 hours.
To calculate this, we first need to determine the rate at which the candle burns by dividing the total burn time (11 hours) by the total length of the candle ( \(5 \frac{1}{2}\) inches). This gives us a burn rate of 2 hours per inch.
Next, we can multiply the burn rate by the time the candle has been burning (6.5 hours) to determine how far the candle has burned. This gives us a result of 13 inches, which is equal to \(3 \frac{3}{4}\) inches in standard units. Therefore, the candle has burned down \(3 \frac{3}{4}\) inches after 6.5 hours.
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Please help! Somewhat confused as to how this is done.
Answer:
The second graph
Step-by-step explanation:
Let's start with the top equation, 4y+3x=0
Isolate the y by moving the 3x to the other side. 4y=-3x
Divide both sides by 4 to fully isolate the y which will give you y=-3/4x
There's your first equation.
Then take 4y-x=16 and do the same thing
4y=16+x
y=4+x/4
y=x/4+4
Now you know that one equation is going to go left, or the negative direction, while the other will go right, or positive, meaning there will be a point where they intersect. So just basically look for the one where x/4+4 is rising while going right. Leaving you with either the 1st or 2nd graph.
Then,
Graph both using the rise/run method or just look for an answer choice where one of the equations is positive and intersects at y=4 (since the second equation is x/4+4) which makes it the second graph.
Let me know if you need any extra explanation
Answer:
(-4,3)
Step-by-step explanation:
To solve a system of equations by graphing, we'll need to graph both equations, and find their points of intersection.
Note that both equations are linear (no exponents, no radicals, no variables in a denominator, no variables multiplied to other variables, etc -- just numbers multiplied to a variable and added to other numbers multiplied to a variable).
To graph linear equations, often they are graphed by putting the equation in slope-intercept form. Alternatively, since it is a line, two points can be found on the line, and then the line can be graphed.
Option 1: Convert to slope-intercept formSlope intercept form is \(y=mx+b\), where "m" is the slope of the line, and "b" is the y-intercept (the place where the line crosses the y-axis).
To convert to slope intercept form, isolate "y".
First equation:
\(4y+3x=0\)
\((4y+3x)-3x=(0)-3x\)
\(4y=-3x\)
\(\dfrac{4y}{4}=\dfrac{-3x}{4}\)
\(y=\frac{-3}{4}x\)
Second equation:
\(4y-x=16\)
\((4y-x)+x=(16)+x\)
\(4y=x+16\)
\(\frac{1}{4}*(4y)=\frac{1}{4}*(x+16)\)
\(y=\frac{1}{4}*x+\frac{1}{4}*16\)
\(y=\frac{1}{4}x+4\)
To graph the lines, plot their y-intercepts first, then use their slopes to determine the rest of the line.
Recall that the slope is \(\frac{rise}{run}\).
Once the equations are graphed, find the intersection from the diagram, (-4,3).
Option 2: Graphing from implicit formThe equations currently are in an implicit form (a form where the variables aren't isolated, so neither variable is written in terms of the other). To graph any line, find and plot two points, then draw the line between them.
To find points on the line, recall that the equation for a line relates the x-coordinate and y-coordinate through the equation. So, if you want to find the y-coordinate for the line when the x-coordinate is 0, substitute 0 for x, and solve for y. Often zero is used, because multiplying by zero cancel out the term, and makes the calculations easier.
Equation 1 - finding a point where x=0
\(4y+3x=0\)
\(4y+3(0)=0\)
\(4y+0=0\)
\(4y=0\)
\(\dfrac{4y}{4}=\dfrac{0}{4}\)
\(y=0\)
So, if x=0, then y=0. So, the point (0,0) is on line 1.
To find another point, we need to choose another number. As mentioned previously, often zero is used, and we could find a point on the line where the y-coordinate is zero. However, since we just found that the point (0,0) is on the line, x=0 when y=0, and so y=0 when x=0. We'll need a new number.
Another number that it often an easy choice mathematically is to choose the coefficient of the other variable. So, for instance, in equation 1, the coefficient of the y term is "4", so let's choose the x-coordinate to be 4, and find the y-coordinate that goes with it:
Equation 1 - finding a second point, where x=4
\(4y+3x=0\)
\(4y+3(4)=0\)
\(4y+12=0\)
\((4y+12)-12=(0)-12\)
\(4y=-12\)
\(\dfrac{4y}{4}=\dfrac{-12}{4}\)
\(y=-3\)
So, if x=4, then y=-3. So, the point (4,-3) is also on line 1.
Those two points can be plotted, and the line drawn.
Equation 2 - finding a point where x=0
\(4y-x=16\)
\(4y-(0)=16\)
\(4y=16\)
\(\dfrac{4y}{4}=\dfrac{16}{4}\)
\(y=4\)
So, if x=0, then y=4. So, the point (0,4) is on line 2.
To find another point, this time, we can choose the y-coordinate to be zero, because we don't already know the x-coordinate that is associated with it.
Equation 2 - finding a second point, where y=0
\(4y-x=16\)
\(4(0)-x=16\)
\(0-x=16\)
\(-x=16\)
\(-1*(-x)=-1*(16)\)
\(x=-16\)
So, if y = 0, then x = -16. So, the point (-16,0) is also on line 2.
Those two points can be plotted and the line drawn. Once the lines are drawn, the intersection can be found. From the diagram, the intersection is (-4,3).
Issac surveyed the employees at the law firm each employee was asked to record their highest level of education completed. Two hundred sixty six woolens completed the survey . How many of those people completed graduate school?
Complete Question :
Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The
results are shown in the table below.
Highest Level of Education Completed
Education Level
Percentage
High School
5%
Community College
10%
Four-Year College
60%
Graduate School
25%
Two-hundred sixty people completed the survey. How many of those people completed graduate school?
Answer:
65 people
Step-by-step explanation:
Given the following :
Number of survey participants = 260
Percentage that completed graduate school = 25%
Number of participants who completed graduate school ;
Total Number of participants × percentage that completed graduate school
260 participants × 25%
260 × 0.25
= 65
Answer:
65 people
Step-by-step explanation:
I took the test and that was the correct answer
Help Please & thanks!
Answer:
14 out of the total class of 35 are boys
Step-by-step explanation:
35 / 5 = 7
7 * 2 = 14
Which measure of central tendency is appropriate for nominal, ordinal, and ratio-interval level variables
The mean is the most appropriate measure of central tendency as it takes into account all values in the dataset and provides a useful representation of the average value. However, the median and mode can also be useful to consider, particularly if the dataset has extreme values or is not normally distributed.
The appropriate measure of central tendency depends on the level of measurement of the variable.
For nominal level variables, the mode is the most appropriate measure of central tendency. The mode represents the most frequently occurring value in the data and is a useful summary statistic for categorical data.
For ordinal level variables, the median is the most appropriate measure of central tendency. The median is the value that separates the data into two equal parts, with half of the observations above the median and half below. The median is appropriate for ordinal data because it does not assume that the intervals between values are equal.
For ratio and interval level variables, the mean is the most appropriate measure of central tendency. The mean is calculated by adding up all the values and dividing by the number of observations. It is appropriate for ratio and interval data because these data types have equal intervals between values, and the mean takes into account the magnitude of the values.
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The radius of a circle is 13 in. Find its circumference in terms of T(pi)
Answer: 40.82
Step-by-step explanation: You have to multiply pi and 13 to get the answer
What are the integer solutions to the inequality below? 4 x + 1 < 8 x < 3 ( x + 2 )
Answer:
1/4<x<6/5
Step-by-step explanation:
4x+1<8x ⇒ 1<4x ⇒ 1/4<x
8x<3x+6 ⇒ 5x<6 ⇒ x<6/5
Fill in the blank to make the ratios equivalent.
20: 160
1:
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
1/x=20/160
20x=160
x=8
if electricity power failures occur according to a poisson distribution with an average of 3 failures over 4 weeks, what is the probability that there will be 4 failure during a particular week. what is e[x] are v(x)?
The probability that there will be 4 failure in particular week is 0.00622.
e(x) = 0.75 = v(x)
Given,
If electricity power failures occur according to a Poisson distribution with an average of 3 failures over 4 weeks, what is the probability that there will be 4 failures during a particular week?
To know e(x) are v(x);
From the given info,
So 3/4 failure per 4/4 weeks.
That means on average 0.75 failures per week.
The probability that there will be 4 failure in particular week,
\(\frac{e^{-0.75}0.75^{4}}{4!}=\frac{0.4723*0.3164}{24}=0.00622\)
e(x) = Average = 0.75
Poisson distribution have mean and variance same.
So v(x) = 0.75
Hence, the probability that there will be 4 failure in particular week is 0.00622.
e(x) = 0.75 = v(x)
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A new long-life tire has a tread depth of 3/8 inches, instead of the more typical 7/32 inches. How much deeper is the new tire?
Using the subtraction operation, the new long-life tire with 3/8 inches depth is deeper than the more typical 7/32 inches by 5/32 inches.
What is a subtraction operation?Subtraction operations involve the minuend, the subtrahend, and the result called the difference.
It is one of the four basic mathematical operations, including addition, multiplication, and division.
The depth of the new long-life tire = 3/8 inches
The depth of the old tire = 7/32 inches
The difference = 5/32 inches (3/8 - 7/32)
Thus, the depth difference between the new long-life tire and the typical tire is 5/8 inches.
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Pedro Gonzalez will invest $17,000 at the beginning of each year for the next 11 years. The interest rate is 12 percent. What is the future value? Use Appendix C. (Round "FV Factor" to 3 decimal places.) A. $410,261. B. $351,135. C. $393,261. D. $384,297.
The future value of an annuity is $351,135. The correct option is B.
To calculate the future value of an annuity, we can use the formula:
FV = Pmt x [(1 + r)^n - 1] / r
where:
Pmt is the amount of the periodic payment
r is the interest rate per period
n is the number of periods
In this case, Pedro is investing $17,000 at the beginning of each year for 11 years, so:
Pmt = 17,000
n = 11
The interest rate is given as 12 percent, but we need to convert it to a periodic interest rate. Since Pedro is making annual payments, the periodic interest rate is also annual. So:
r = 12% per year
Now we can calculate the future value using Appendix C to find the FV factor for 12% and 11 periods:
FV factor = 3.784
FV = 17,000 x [(1 + 0.12)^11 - 1] / 0.12
FV = 17,000 x 3.784
FV = $64,328
So the future value of Pedro's investments is $64,328.
However, this is only the future value of his first investment of $17,000. To find the total future value of all his investments, we need to add up the future value of each individual investment. We can use the formula we just calculated to find the future value of each investment, and then add them up:
Total FV = $17,000 x 3.784 + $17,000 x 3.784^2 + ... + $17,000 x 3.784^11
Using a financial calculator or spreadsheet software, we can calculate this sum to be approximately $351,135.
Therefore, the answer is B. $351,135.
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1% off 100 =
Someone pls help
Answer:
1 ofc
Step-by-step explanation:
Think of it:
1% is pretty much \(\frac{1}{100}\)
so the equal to that is 1
I hope this answers your question :) If you want to mark me as brainliest (its ok if not :) im just trying to get enough to unlock messages
(a) Find the Fourier transform X (jw) of the signals x(t) given below: i. (t – 2) – 38(t – 3) ii. e-2t u(t) iii. e-3t+12 uſt – 4) (use the result of ii.) iv. e-2|t| cos(t) (b) Find the inverse Fourier transform r(t) of the following functions X(jw): i. e-j3w + e-jów ii. 27 8W - 2) + 210(w + 2) iii. cos(w + 4 7T )
i. The Fourier transform of (t - 2) - 38(t - 3) is [(jw)^2 + 38jw]e^(-2jw). ii. The Fourier transform of e^(-2t)u(t) is 1/(jw + 2). iii. The Fourier transform of e^(-3t+12)u(t-4) can be obtained using the result of ii. as e^(-2t)u(t-4)e^(12jw). iv. The Fourier transform of e^(-2|t|)cos(t) is [(2jw)/(w^2+4)].
i. To find the Fourier transform of (t - 2) - 38(t - 3), we can use the linearity property of the Fourier transform. The Fourier transform of (t - 2) can be found using the time-shifting property, and the Fourier transform of -38(t - 3) can be found by scaling and using the frequency-shifting property. Adding the two transforms together gives [(jw)^2 + 38jw]e^(-2jw).
ii. The function e^(-2t)u(t) is the product of the exponential function e^(-2t) and the unit step function u(t). The Fourier transform of e^(-2t) can be found using the time-shifting property as 1/(jw + 2). The Fourier transform of u(t) is 1/(jw), resulting in the Fourier transform of e^(-2t)u(t) as 1/(jw + 2).
iii. The function e^(-3t+12)u(t-4) can be rewritten as e^(-2t)u(t-4)e^(12jw) using the time-shifting property. From the result of ii., we know the Fourier transform of e^(-2t)u(t-4) is 1/(jw + 2). Multiplying this by e^(12jw) gives the Fourier transform of e^(-3t+12)u(t-4) as e^(-2t)u(t-4)e^(12jw).
iv. To find the Fourier transform of e^(-2|t|)cos(t), we can use the definition of the Fourier transform and apply the properties of the Fourier transform. By splitting the function into even and odd parts, we find that the Fourier transform is [(2jw)/(w^2+4)].
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Determine if the three lengths can be the measures of the sides of a triangle.
3 in, 9 in and 8 in
Answer:
yes
Step-by-step explanation:
For the lengths to form a triangle, the sum of any 2 must be greater than the third, that is
3 + 9 = 12 > 8
3 + 8 = 11 > 9
9 + 8 = 17 > 3
Thus the 3 lengths can form a triangle
Eva is deciding between two landscaping companies for her place of business.
Company A charges $35 per hour and a $300 equipment fee. Company B charges $45
per hour and a $100 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge for t hours of landscaping. Write an equation for each situation, in terms of t,
and determine the number hours, t, that would make the cost of each company the same.
For seven hours of landscaping, Company B would be less expensive than Company A.
What is an equation?An equation is defined as any pair of expressions that both contain the equal sign.
Because of this, Company charges $35 per hour and a $250 equipment fee, compared to Company B's $25 per hour and $300 equipment fee.
For t hours of landscaping, Company A will bill the following:
A = 35t + 250 (1) (1)
In a similar vein, Company B bills the following sum for t hours of landscaping:
B = 25t + 300 (2) (2)
Solve equation (1) now with t = 7:
A = 35 (7) + 250
A = 245 + 250
A = 495
So, for 7 hours of landscaping, business A would bill $495.
Similarly, when equation (2) is resolved for t = 7,
B = 25(7) + 300
B = 175 + 30
B = 475
So, for 7 hours of gardening, business B would bill $475.
Therefore, for seven hours of landscaping, Company B would be less expensive than Company A.
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guys please help i don’t think i’m going to pass this .. this is due right now help. i’ll give brainlest.
Answer:
letter a!
Step-by-step explanation:
A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
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Is -5 a solution to the expression 6X +5 equals 5X +8+ 2X
Find a value of c so that P(Z ? c) = 0.71. a) -1.11 b) 0.75 c) -0.55 d) 0.55 e) 1.55
Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.
The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.
Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.
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