Answer:
a. -14
b. -13
c. -5
d. -3
e. -12
f. 0
Step-by-step explanation:
hope it helps
Answer:
A is -14.
B is -13
C is -5
D is -3
E is -12
F is 0
Step-by-step explanation:
A, B, E both numbers are negative so you just add them together and add a negative sign.
C would read 4-9
D 10-7 and add a - to the answer
F is 6-6
The length of a rectangle is 7 more than 5 times the width. If the perimeter is 218, find the length and the width.
Answer:
Width = 17
Length = 92
Step-by-step explanation:
Perimeter of rectangle = 2 (length + width)
let us take width be x
length = 7 + 5x
width = x
so let us put these value
2 (length + width) = 218
2 (7 + 5x + x ) = 218
2 (7 + 6x ) = 218
14 + 12x = 218
12x = 218 -14
12x = 204
x = 204/12
x = 17
Width = x
= 17
Length = 7 + 5x
= 7 + 5(17)
= 7 + 85
= 92
Find the point at which the line f(x)=2x+10 intersects the line g(x)=−3x−5 .
9514 1404 393
Answer:
(x, y) = (-3, 4)
Step-by-step explanation:
A graphing calculator answers this question quickly. The point of intersection is (-3, 4).
__
The lines intersect where f(x) = g(x).
2x +10 = -3x -5
5x = -15 . . . . . . . . add 3x-10
x = -3 . . . . . . divide by 5
f(-3) = 2(-3) +10 = 4 . . . . . find the y-coordinate
The point is (-3, 4).
Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
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If You can pls answer all 4 with the equations
•What is the value of the expression
6x - 2y +5y when x=10 and y=3?
•If x - 16 = 29, what is the value of 2(x + 5)
•What is the value of 3n² - 4m ÷ 6 when n=4 and m=18?
•Find the value of (⅑)³
9514 1404 393
Answer:
69100-241/729Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic. Your calculator can help.
1. 6x -2y +5y = 6(10) -2(3) +5(3) = 60 -6 +15 = 69
__
2. add 16 to find x.
x -16 = 29
x = 45
Then do the substitution:
2(45 +5) = 2(50) = 100
__
3. 3(4²) -4(18) = 3(16) -4(18) = 48 -72 = -24
__
4. (1/9)³ = (1/9)(1/9)(1/9) = 1/(9·9·9) = 1/729
2, 4, 5, 6, 6, 7
What is the mean of the list of numbers above?
Answer: 5
Step-by-step explanation: add up the numbers to get 30 then divide by 6 (the amount of numbers) to get 5
Answer: 5
Step-by-step explanation:
the mean is the average. add the numbers together then divide by how many addends you have.
2 + 4 + 5 + 6 + 6 + 7 = 30
30/6 = 5
:)
Order the following values from least to greatest |-2| |4.5| -7 3
Answer:
-7, |-2|, 3, |4.5|
Step-by-step explanation:
-7 is the lowest number, since it is a negative. The absolute value of -2, or |-2|, is 2 making it the second lowest. 3 comes next. The absolute value of 4.5 is 4.5, being the greatest number.
Answer:
-7, |-2|, 3, |4.5|
Step-by-step explanation:
First, let's find -2 and |4.5| .
Absolute value of a number is its distance from 0. Remember, absolute value is always zero or positive.
Now, let's use a number line to order the numbers. Numbers to the left are less than numbers to the right.
The values in order from least to greatest is as follows: -7, |-2|, 3, |4.5|.
A student in eighth grade notices that the current cost of of tuition, books, and fees at a 4 year college is $16,000 per year. The family reads that there is an annual increase of $450 per year.
What will the the total cost of tuition, books, and fees for this student when this student attends college for four years, after graduating high school?
$73,700
$75,700
$77,100
$78,900
Answer: It's (B) $75,700
Consider the following sets of sample data:A: $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100B: 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98Step 1 of 2 : For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.
The coefficient of variation for A is 20.37% and for B is 15.98%.
What is coefficient of variation?
In statistics, the relative standard deviation (RSD), commonly referred to as the coefficient of variation formula (CV), is a standardized way to assess how widely spaced out a probability distribution or frequency distribution is. Lower values of the coefficient of variation indicate that the data is highly stable and less variable.
We know that formula for coefficient of variation is
CV = Standard Deviation / Mean
A. $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100
Mean = 411200 / 14
Mean = $29371.42
Similarly,
Standard Deviation = $5984.52
So,
CV = 5984.52 / 29371.42 * 100
CV = 20.37%
B. 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98
Mean = 43.42 / 11
Mean = $3.94
Similarly,
Standard Deviation = $0.63
So,
CV = 0.63 / 3.94 * 100
CV = 15.98%
Hence, the coefficient of variation for A is 20.37% and for B is 15.98%.
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Noise in a quiet room is 500 times as intense as the threshold of sound. What is the decibel measurement for the quiet room?
The decibel measurement for the quiet room is 54 dB.
To determine this, we first need to understand what the threshold of sound is. The threshold of sound is the minimum sound pressure level that can be heard by the human ear, and it is typically measured at 0 dB.
Next, we can use the formula for decibel measurement:
dB = 10 log (I/I0)
where I is the intensity of the sound in the quiet room, and I0 is the threshold of sound.
Since the noise in the quiet room is 500 times as intense as the threshold of sound, we can plug in the values into the formula:
dB = 10 log (500/1)
dB = 10 log (500)
dB = 10 * 2.7
dB = 27
Therefore, the decibel measurement for the quiet room is 27 dB. However, this answer is incorrect because the question states that the noise in the quiet room is 500 times as intense as the threshold of sound, not 500 times the threshold of sound.
To correct this mistake, we need to use the formula for decibel measurement with the correct values:
dB = 10 log (500 * I0/I0)
dB = 10 log (500)
dB = 10 * 2.7
dB = 27
Therefore, the decibel measurement for the quiet room is 27 dB + 27 dB = 54 dB.
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Help I need to tune in all my late work ...
Answer:
Scale factor is 9
Step-by-step explanation:
81 divided by 9 is 9
63 divided by 7 is 9
line a passes through (0,3) & (-4,8) line b passes through (0,5) & (5,9) lines a & b are?
Answer:
line a )y=-5/4x+3
line b) y=4/5+5
EASY POINTS!
Winter has just begun. After one week, the temperature decreased by 46.8° with a
percent change of 72%. What was the temperature at the beginning of the week and
what is the temperature now?
Answer:Can somebody also help me with this. i'm confused please hurry!
Step-by-step explanation:
You measure 48 backpacks' weights, and find they have a mean weight of 70 ounces. Assume the population standard deviation is 6.4 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight.
Give your answers as decimals, to two places
The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.
To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).
Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.
Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:
Confidence Interval = 70 ± (2.576 * 6.4 / √48).
Simplifying the expression, we get:
Confidence Interval ≈ 70 ± 1.855.
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Cathy bough treats at her local bakery the past two weeks. The first week she bought 6 donuts and 3 muffins and paid $42. The second week she bought 3 donuts and 2 muffins and paid $24. How much does it cost for each donut and each muffin?
Answer:
$4.80
Step-by-step explanation:
find the inverse of each function
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
What is the answer for Expanding
2t(6t-3)
Answer:
Step-by-step explanation:
12t2 - 6t
what is 190000000000000000000999999x33
Answer:
5.7e+26
If you type in a calculator 19+19 0s + 6 9s multiplied by 3 you will get 5.7e+26.
Answer:
6.2700000 E27 (?)
Hope I helped!
Which graph represents the function f(x) = 1/x -1?
Answer:
It's D
Step-by-step explanation:
for edge...just took the test and got 100;)
Answer:
Graph D
Step-by-step explanation:
last question before I go. \(x^{2} -y\) when \(x = 4, y = 2\).
Hey there!
x^2 – y
= 4^2 – 2
= 4 * 4 - 2
= 16 - 2
= 14
Therefore, the answer should be: 14
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Math please help me solve
Answer:
Angle 1: 34°
Angle 2: 146°
Angle 3: 146°
Angle 4: 34°
Angle 5: 34°
Angle 6: 146°
Angle 7: 146°
Angle 8: 34°
Step-by-step explanation:
Angle 1: because angle 1 and 5 are corresponding, we know that angle 1 is 34°.
Angle 2: because a line is 180°, we can set angle 1 and 2 equal to 180° ( 34+x+15=180) which when solved, x = 131. but you need to plug it back into the equation of angle 2 to find out how many degrees it is. ( 131+15=146 ) So angle 2 is 146°
Angle 3: angles 2 and 3 are vertical angles, so angle 3 is 146°
Angle 4: angles 1 and 4 are vertical, so angle 4 is 146°
Angle 5: is given
Angle 6: angles 2 and 6 are corresponding so they are equal, angle 6 is 146°
Angle 7: angles 6 and 7 are vertical so angle 7 is 146°
Angle 8: angles 5 and 8 are vertical of each other so they are equal, angle 8 is 34°
help please i need all
Answer:
What grade are you in?
Step-by-step explanation:
6. 16 divided by 4 is 4
Then your keep going like 8 is 25 divided by 5 which is 5.
9. 120 divided by 4 is 30
10. 36 divided by 6 is 6
I need help asap. Evaluate Expressions
Answer:
1:
p-r/6=-6-(-6)/6=-6+1=-5
2:
p-(m-n)= -1-(-4-4)=-1-(-8)=-1+8=7
3:
(z+y)/2)3=(-5-4)/3=-9/3=-3
4:
m/6-n=6/6-6=1-6=-5
5:
k³-h=3³-(-2)=27+2=29
6:
p-(p-(m-3))=5-(5-(4-3))=5-(5-1)=5-4=1
7:
(k)(k-j)+3=(5)(5-5)+3=5*0+3=3
8.
p²/6-q=6²/6-4=6-4=2
9;
zx+3³=6*4+3³=24+27=51.
10:
y+z-(y-x)=5+4-(5-2)=9-3=6
Some basic rules:
+. +. +=+
+. * +=+
+. ÷ +=+
+. - +=+
and
+. +. -=add and put sigh of greater one.
-. * +=-sigh
-÷-=+sigh
- - -=add and put - sigh
Assume the average nightly payroll for a city’s downtown restaurants on the weekend is $2200 with a standard deviation of $300. The distribution has a bell-shaped curve. A manager wants to be 99% sure he has this cost covered for the next four weeks and puts away $10,000. Will he have enough? Use your z-score formula result to justify your answer. Please respond with the dollar amount and round to the nearest dollar.
Hint: Round your z-value to the hundredths place and direction of the graph will matter.
Given statement solution is :- The manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.
To determine if the manager will have enough funds to cover the nightly payroll for the next four weeks, we need to calculate the total cost for four weeks and compare it to the amount set aside.
The nightly payroll has a mean of $2200 and a standard deviation of $300. Since there are seven nights in a week, the weekly payroll can be calculated as:
Weekly Payroll = Nightly Payroll * Number of Nights in a Week
= $2200 * 7
= $15,400
To calculate the total cost for four weeks, we multiply the weekly payroll by four:
Total Cost for Four Weeks = Weekly Payroll * Number of Weeks
= $15,400 * 4
= $61,600
Now, let's calculate the z-score using the formula:
z = (X - μ) / σ
Where:
X = Total Cost for Four Weeks
μ = Mean of the distribution
σ = Standard deviation of the distribution
z = ($61,600 - $2200) / $300
z = $59,400 / $300
z ≈ 198
To determine if the manager will have enough funds to cover the payroll, we need to find the proportion of the distribution that is less than or equal to the z-score. This can be done by consulting a standard normal distribution table or using statistical software.
For a z-score of 198, the proportion in the tail of the distribution is essentially 1 (or 100%). This means that the manager is virtually guaranteed to have enough funds to cover the payroll for the next four weeks.
Since the manager has set aside $10,000, which is less than the calculated total cost of $61,600, he will indeed have enough funds to cover the payroll.
Therefore, the manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.
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Determine whether the scenario involves independent or dependent events
A basket contains six apples and four peaches. You randomly select a piece of
fruit and then return it to the basket. Then you randomly select another piece of fruit.
Both pieces of fruit are apples.
A) Independent
B) Dependent
This exercise uses Newton's Law of Cooling.
Newton's Law of Cooling is used in homicide investigations to determine the time of death. The normal body temperature is 98.6°F. Immediately following death, the body begins to
cool. It has been determined experimentally that the constant in Newton's Law of Cooling is approximately k - 0.1947, assuming time is measured in hours. Suppose that the
temperature of the surroundings is 60°F.
(a) Find a function TCC) that models the temperature t hours after death.
TL)
х
(6) If the temperature of the body is now 78°F, how long ago was the time of death? (Round your answer to the nearest whole number.)
Xhr
By applying the Newton's law of cooling and performing the neccessary calculations, the time of death of the body is about 4 hours ago.
Newton's law of coolingAccording to the Newton's law of cooling;
T(t) = T(s) + (To - Ts)e^-kt
T(t) = temperature at time t
T(s) = temperature of the surroundings
To = Initial temperature
k = cooling constant
t = time taken
Substituting the values;
T(t) = 60 + (98.6 - 60)e^- 0.1947t
To find the time taken to attian a temperature of 78°F;
78 = 60 + (98.6 - 60)e^- 0.1947t
78= 60 + 38.6e^- 0.1947t
78 - 60 = 38.6e^- 0.1947t
18/38.6 = e^- 0.1947t
0.466 = e^- 0.1947t
ln0.466 = lne^- 0.1947t
ln0.466 =- 0.1947t
t = ln0.466 /- 0.1947
t = 4 hours
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(16,-4); 7x-4y=-5
Find the equation of the line that contains the given point and is parallel to the given line. Write the equation in slope-intercept form, if possible
The equation of the line parallel to the line 7x - 4y = - 5 and passing through (16, - 4) is y = (7/4)x - 32.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
We know lines parallel to each other have the same slope which is
7x - 4y = - 5 ⇒ - 4y = - 7x - 5 ⇒ y = (7/4)x + (5/4) to our required line will also have the same slope passing through the point (16, - 4).
Therefore, - 4 = 16(7/4) + b.
- 4 = 28 + b.
b = - 32.
Therefore, y = (7/4)x - 32 is the required line.
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Please help on this fast
Using the concept of fraction, the percentage 34 in 425 is 8%
What is percentage?To find the percentage of a number, you need to multiply the number by the percentage value expressed as fraction into decimal.
The formula to find the percentage of a number is:
Percentage = (Percentage Value / 100) x Number
where the "Percentage Value" is the percentage you want to find and "Number" is the original number.
To determine the percentage of 34 in 425, we can calculate
percentage = (34/425) * 100
x = (2/25) * 100
x = 8%
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Which number line represents the number 0.7
Answer:
What number like?
Answer: The answer is C.
The question I assume you are talking about is in the image.
Bill borrowed $212 from his friend last week. He had given his friend back $89 earlier in the day, but he soon realizes that he needs to borrow another $32 from his friend to take Lindsey to the movies. What will Bill's financial situation (as a signed number) be at the end of the day?
help me with this math please, my life kinda depend on this, but please help fast! ill give brainlyist
Parent function f(x) = 1/2ˣ will be translated Vertically compress by a factor of 1/3, which gives a function f(x) = 1/2ˣ - 1/3.
Define translation.A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point. Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right. The formula is (x, y) (x + 5, y + 3).
Given
Parent function
f(x) = 1/2ˣ
Vertically compress by a factor of 1/3
Translation
f(x) = x - k
f(x) = 1/2ˣ - 1/3
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