Answer:
-11/24 and -4/9
Step-by-step explanation:
A rational number is a fraction in the form a/b where both a and b are integers and b is not equal to zero.
Given the numbers -1/3 and -1/2, to place two numbers between them, we have to first find the width between the two numbers.
Width = -1/3 - (-1/2) = -1/3 + 1/2 = 1/2 - 1/3 = 1/6
Since two numbers are to be placed between -1/3 and -1/2, we have to divide the width into 3 which results to 1/6 ÷ 3 = 1/18
The first number placed is -1/3 - 1/18 = -11/24
The second number is -11/24 - 1/18 = -4/9
12. Solve the systems of linear equations using the substitution method.
x=y - 2
4y = x + 23
Answer:
x=5 and y=7
Step-by-step explanation:
x + 2 = y (equation 1)
x + 23 = 4y (equation 2)
(equation 2) - (equation 1)
This gives,21 = 3y
y = 21/3
y = 7.
Put y = 7 into equation 1 to find x
x + 2 = 7
x = 7 - 2
x = 5.
Mele earned scores of 75, 70, 92,95, and 97 points (a
total of 429 points) on the first 5 tests in Economics II
Solving which of the following equations for s gives
the score he needs to earn on the 6th test to average
exactly 85 points for all 6 tests?
+5=85
F. 429
G. 429
H. + 429
+5 = 85
= 85
J. S+429
= 85
6
K. S+ 429
85
100
Answer:
The equation for S which gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests is;
S + 429 = 85 × 6
Step-by-step explanation:
The parameters given are;
The scores earned by Mele on the first five test in Economics II are;
75, 70, 92, 95, and 97 points
The total test points = 429 points
Therefore, the score, S, Mele needs to earn on the 6th test for him to get an average of exactly 85 points for the 6 tests is found as follows;
From the definition of average, μ = (Sum of data values)/(Number of data)
Sum of data values = S + 429
The number of data = 5 test + 6th test = 6
μ = 85 = (S + 429)/6
Therefore;
S + 429 = 85 × 6
Therefore, the equation for S which gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests is S + 429 = 85 × 6.
Solve for x 1/4(32x-16)=6x
Answer:
ohfofhodhodhodohyororoyroyriydiydigdigdyidiydiydiydoyfofororoyforoydoyoydiyriyiriy
PLEASE help me solve this question! This is really URGENT! No nonsense answers please.
Answer:
[tex]\boxed{\sf 6.4 \ seconds}[/tex]
Step-by-step explanation:
t = time (s) ⇒ ?
d = distance falling (m) ⇒ 200 (m)
a = acceleration due to gravity ⇒ 9.8 (m/s²)
The time in seconds is not given. Solve for time using the formula.
[tex]t=\sqrt{\frac{2(200)}{9.8} }[/tex]
[tex]t=\sqrt{\frac{400}{9.8} }[/tex]
[tex]t= 6.388766...[/tex]
Round answer to nearest tenth of a second.
[tex]t \approx 6.4[/tex]
The formula for the area of a square is sº, where s is the side length of the square. What is
area of a square with a side length of 6 centimeters? Do not include units in your answer.
Answer:
36
Step-by-step explanation:
The formula for the area of a square is s², where s is the side length of the square.
If a square with a side length of 6 centimeters then we get,
S = 6
Now, Area of square
= s² = (6)² = 36
can someone please help me with this !!
Answer:
x=3
Step-by-step explanation:
5/2 ( 3x-1) = 20
Multiply each side by 2/5
2/5 ( 5/2 ( 3x-1) )= 20 *2/5
3x-1 = 8
Add 1 to each side
3x-1+1 = 8+1
3x = 9
Divide each side by 3
3x/3 = 9/3
x =3
what is the solution to the equation below log5(2x-3)=2
Answer:
14
Step-by-step explanation:
I just got it correct on a.p.e.x :)
The solution to the equation [tex]\log_5(2x - 3) = 2[/tex] is x = 14
How to determine the solution?The equation is given as:
[tex]\log_5(2x - 3) = 2[/tex]
Convert the equation to an exponential equation
2x - 3 = 5^2
Evaluate the exponent
2x - 3 = 25
Add 3 to both sides
2x = 28
Divide both sides by 2
x = 14
Hence, the solution to the equation [tex]\log_5(2x - 3) = 2[/tex] is x = 14
Read more about logarithms at:
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Find the value of a.
3a-9=15
Answer:
a = 8Step-by-step explanation:
3a - 9= 15
To solve the equation send the constants to the right side of the equation
That's
3a = 15 + 9
simplify
3a = 24
Divide both sides by 3
[tex]\frac{3a}{3} = \frac{24}{3}[/tex]
The final answer is
a = 8
Hope this helps you
Answer:
a = 8
Explanation:
Step One - Add nine to both sides of the equation. This is the first step is to isolate the variable, a. This step will remove the negative nine from the equation.
3a - 9 = 15
3a - 9 + 9 = 15 + 9
3a = 24
Step 2 - Divide both sides of the equation by three. This is the last step to isolate the variable, a.
3a = 24
3a/3 = 24/3
a = 8
Since we have fully isolated the variable, a, we have determined its value.
Therefore, in the equation 3a - 9 = 15 the value of the variable is a = 8.
2(3x + 1) - (x - 5) = 42
Answer:
6x+2-1x+5=42
Step-by-step explanation:
Answer:
6x+2-x-5=42
Step-by-step explanation:
Y=-5x+30 x=10 what is the solution to the system of equations 1)(-20,10) 2)(10,-20) 3)(10,4) 4)(4,10)
Answer:
2) (10, -20)Step-by-step explanation:
y = - 5x + 30 and x = 10 ⇒ y = -5•10 + 30 = -50 + 30 = -20
x = 10 and y = -20 ⇒ (10, -20)
Answer:
Its B. (10, –20)
Step-by-step explanation:
I just took the quiz on edge
20. A pool holds 1440 CUBIC feet of water, the aty
charges $). 15 per cubic meter of water
used now, much will it cost to fill the pool?
Complete question :
A pool holds 1440 cubic feet of water, the city charges $1.75 per cubic meter of water used.
How much will it cost to fill the pool?
Answer:
$71.36
Step-by-step explanation:
Amount charged per cubic meter = $1. 75
Total volume of pool = 1440 ft^3
Using the conversion unit chart :
1 cubic meter = 35.3147 cubic foot
Then we can express the capacity of water held by the pool in cubic metre.
If 1 cubic meter = 35.3147 cubic foot
Then ;
y cubic meter = 1440 cubic foot
y = 1440/35.3147
y = 40.776220 cubic meter
Thus;
Cost of filling the pool will be;
$1.75 × 40.776220
= $71.358386
= $71.36
the 15 chihuahua puppies ate 63 cups of food last week if each puppy ate the same amount of food how many cups of puppy food did each puppy eat
Answer: 4.2 cups
Step-by-step explanation: 63 divided by 15=4.2
Ссппер
What is the image of (7, -2) after a reflection over the line y = -x?
Answer:
(2, -7)
Step-by-step explanation:
what do you think would happen to a person if mortor neuron from the grey matter of spinal cord is removed?
Step-by-step explanation:
Introduction
Until World War II, a serious spinal cord injury (SCI) usually meant certain death. Anyone who survived such injury relied on a wheelchair for mobility in a world with few accommodations and faced an ongoing struggle to survive secondary complications such as breathing problems, blood clots, kidney failure, and pressure sores. By the middle of the twentieth century, new antibiotics and novel approaches to preventing and treating bed sores and urinary tract infections revolutionized care after spinal cord injury. This greatly expanded life expectancy and required new strategies to maintain the health of people living with chronic paralysis. New standards of care for treating spinal cord injuries were established: reposition the spine, fix the bones in place to prevent further damage, and rehabilitate disabilities with exercise.
Today, improved emergency care for people with spinal cord injuries, antibiotics to treat infections, and aggressive rehabilitation can minimize damage to the nervous system and restore function to varying degrees. Advances in research are giving doctors and people living with SCI hope that spinal cord injuries will eventually be repairable. With new surgical techniques and developments in spinal nerve regeneration, cell replacement, neuroprotection, and neurorehabilitation, the future for spinal cord injury survivors looks brighter than ever.
A circular hall has a hemispherical roof.
The greatest height is equal to the
inner diameter. If the capacity of
the hals is
the
floor is.
43510 m^3
then
area
of the
Answer:
Area=1,288.88m²
Step-by-step explanation:
A circular hall(big room) has a hemispherical roof.The greatest height is equal to the inner diameter.Find the area of the floor,given that the capacity of the hall is 43510 cubic meter
Solution
let
diameter = D
radius,r = D/2
Greatest height = D
height of cylindrical part (h)= D-r = r
radius of cylindrical part = r
area of floor = πr²
volume = volume of cylindrical part + volume of hemispherical part
= πr²h + 2/3 πr³
Recall h=r
volume = πr³ + 2/3 πr³
43510=5/3πr³
Make r the subject
r=3√(43510*3)/5π
=3√(130,530/15.7
=3√8,314.01
=20.26
Area of floor = πr²
=3.14*(20.26)²
=3.14*410.47
=1,288.88m²
A student decided to research primate psychology for their science project. They measured how long it took gorillas to adapt to their new habitat when moved from one zoo to another. They measured how long it took the new gorilla to interact regularly (more than 3 times per day) with the gorillas that already live there. Seven different cases were examined and the data collected. What can be said about the data?
The question is not complete, so i have attached it.
Answer:
Option A - The data may not be reliable because there is an outlier.
Step-by-step explanation:
Looking at the question attached and the number of the gorrila vis - a - vis the time to interact, we can see that majority of the time to interact falls between 2.5 and 3.4.
However, we have a time of 8.3 days which is for gorrila 3.
This 8.3 is far higher than the range of the other values. Thus, we have an outlier because an outlier is a value is much more smaller or larger than most of the other values in a set of given data.
Thus, the data may not be reliable because there is an outlier.
Please help me understand this number sequence
Answer:
Step-by-step explanation:
A=a(r)^t
a=1
time=2.5 hours=25/10 ×60=150 minutes
10t=150
t=150/10=15
[tex]A=1(2)^{15}=32,768[/tex]
Now considering the real world situation are there any restrictions or changes you need to make for your domain or range to fit the situation described above? If so adjust your graph to represent these changes. Considering the real situations above (Question D.)
Answer:
Ok, we have the function:
y = 2gb*x + 3gb
Where x is the number of streams that you did.
You know that for this function, in a math view, the domain and the range are the set of all real numbers.
(Actually the domain should be integers, but i guess that if you only stream a 0.3534 of a movie and then you quit it, here only consumed 0.3534*2gb, so we can allow x to be a real number)
But in a "real situation", there are some other restrictions:
Restrictions for x:
You can never have a negative value for x (because this has no sense)
So the first restriction is x ≥ 0.
Then, there should be a maximum value of x (you can not stream 4 million things in one month). Or A may be the number of streams that you can watch until you reach the monthly limit of Gbs.
Then the domain is:
0 ≤ x ≤ A.
Now, the minimum of the range is defined by the minimum in the domain:
When x = 0, we have:
y = 2*0 + 3gb
So the minimum value in the range is 3gb.
y ≥ 3gb
And then the maximum value of the range will be when x = A
y = 2Gb*A + 3Gb
3Gb ≤ y ≤ 2Gb*A + 3Gb
what is 136 1/50% of 231
Answer:
Step-by-step explanation:
136 1/50 % of 231 = 6801/50 % * 231
[tex]=\frac{6801}{50*100}*231\\\\\\=\frac{1571031}{5000}[/tex]
= 314.2062
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Answer:
2/5
Step-by-step explanation:
First for the sum:
3/5 + 1/5 i + 4/5 - 2/5 i = 7/5 - 1/5 i
Now for the difference
9/5 - 1/5 i - (7/5 - 1/5 i)
= 9/5 - 1/5 i - 7/5 + 1/5 i
= 2/5 , which is the answer :)
The answer is 2/5.
To find the fraction bar in the box.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given that:
First for the sum:
3/5 + 1/5 i + 4/5 - 2/5 i = 7/5 - 1/5 i
Now substract the sum,
9/5 - 1/5 i - (7/5 - 1/5 i)
= 9/5 - 1/5 i - 7/5 + 1/5 i
= 2/5
So, the answer is 2/5.
Learn more about fraction here:
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The solutions to (x + 3)^2- 4=0 are x = -1 and x = -5
True or false
Answer:
THE ANSWER WOULD BE TRUE MY FRIEND
Select the correct answer.
The function g(x) = x^2 is transformed to obtain function h:
h(x) = g(x-3).
Which statement describes how the graph of h is different from the graph of g?
А. The graph of h is the graph of g horizontally shifted left 3 units.
B. The graph of h is the graph of g vertically shifted up 3 units.
C. The graph of his the graph of g vertically shifted down 3 units.
D. The graph of h is the graph of g horizontally shifted right 3 units.
Answer:
B The graft of h is the graft of g vertically shifted up 3 units
please solve this question.
[tex]\left(\dfrac{1}{1+2i}+\dfrac{3}{1-i}\right)\left(\dfrac{3-2i}{1+3i}\right)=\\\\\left(\dfrac{1-2i}{(1+2i)(1-2i)}+\dfrac{3(1+i)}{(1-i)(1+i)}\right)\left(\dfrac{(3-2i)(1-3i)}{(1+3i)(1-3i)}\right)=\\\\\left(\dfrac{1-2i}{1+4}+\dfrac{3+3i}{1+1}\right)\left(\dfrac{3-9i-2i-6}{1+9}\right)=\\\\\left(\dfrac{1-2i}{5}+\dfrac{3+3i}{2}\right)\left(\dfrac{-3-11i}{10}\right)=\\\\\left(\dfrac{2(1-2i)}{10}+\dfrac{5(3+3i)}{10}\right)\left(\dfrac{-3-11i}{10}\right)=[/tex]
[tex]\dfrac{2-4i+15+15i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{17+11i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{-51-187i-33i+121}{100}=\\\\\dfrac{70-220i}{100}=\\\\\dfrac{70}{100}-\dfrac{220i}{100}=\\\\\boxed{\dfrac{7}{10}-\dfrac{11}{5}i}[/tex]
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 31 31 beats per minute, the mean of the listed pulse rates is x overbar x equals = 71.0 71.0 beats per minute, and their standard deviation is s equals = 12.6 12.6 beats per minute.
Complete question is;
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 31 beats per minute, the mean of the listed pulse rates is x over bar equals 71.0 beats per minute, and their standard deviation is s equals 12.6 beats per minute.
a. What is the difference between the pulse rate of 31 beats per minute and the mean pulse rate of the females?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert the pulse rate of 31 beats per minutes to a z score.
d. If we consider pulse rates that convert to z scores between minus 2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 31 beats per minute significant?
Answer:
A) 40 beats per minute
B) 3.1746
C) z = -3.17
D) the pulse rate of 31 beats per minute is significantly low.
Step-by-step explanation:
A) The mean pulse rate is given as x bar = 71
Thus difference between this and pulse rate of 31 beats per minute is;
Difference = 71 - 31 = 40 beats per minute
B) number of standard deviations of the difference found in part a is given as;
number = difference/standard deviation(s)
number = 40/12.6
number = 3.1746
C) The z-score is calculated from;
z = (x - xbar)/s
z = (31 - 71)/12.6
z = -3.17
D) from the question we are told that the z scores between minus2 and 2 to be neither significantly low nor significantly high. However, we have a Z-score of -3.17 which doesn't fall into that range. Thus, the pulse rate of 31 beats per minute is significantly low.
Find the value of a.
a = 18°
Step-by-step explanation:we have opposite angles =>
=> 6a + 11 = 2a + 83
6a - 2a = 83 - 11
4a = 72
a = 72 : 4
a = 18°
jika pola barisan aritmatika adalah -18,-22,-26,-30, maka u20 + u 22 adalah
Answer:
-196
Step-by-step explanation:
Di sini, berdasarkan urutan aritmatika, kita ingin mencari nilai dari suku ke-22 ditambah suku ke-20.
Dari urutan tersebut, kita bisa membuat beberapa potongan.
Suku pertama a dari barisan tersebut adalah -18 Perbedaan persekutuan d = -22 - (- 18) = -22 + 18 = -4
Untuk menghitung suku ke-20, kita menggunakan rumus untuk suku ke-n dari sebuah barisan, di mana n = 20
U20 = a + (20-1)
d U20 = -18 + 19 (-4) = -18 - 76 = -94
U22 = a + (22-1) d
U22 = -18 + 21d U22 = -18 + 21 (-4) U22 = -18 - 84 = -102 Jadi;
U22 + U20 = -102 + (-94) = -196
Joey went for 15 auditions. Out of those 15 auditions, he got called back for 30% of them. Approximately how many did he get called back for?
Answer:
2
Step-by-step explanation:
Basically,
You just have to find 30% of 15...
So
The formula is...
BASE x PERCENT= AMOUNT
x times 0.3= 15
0.3/15=0.02
0.02 x 100= 2
So
Joey got called back for approximately 2 auditions.
the points (-2,1), (1,1), (0,-2), and (-3,-2) are vertices of a polygon. what type of polygon is formed by these points? A. rectangle B. square C. pentagon D. parallelogram
Answer:
[tex]\boxed{\sf D. \ Parallelogram}[/tex]
Step-by-step explanation:
When we graph the points, the polygon is a quadrilateral with opposite parallel sides. The type of polygon formed by these points is a parallelogram.
Answer:
Parallelogram
Step-by-step explanation:
We'll graph all of the points from which we'll come to know that it is a parallelogram having opposite sides equal and parallel.
See the attached file for more understanding.
Compute the value of each expression: −4|−3−3|
Answer:-24
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
−4|−3−3|
First find the value inside the absolute value
−4|-6|
Absolute value means take the non-negative value
-4 * 6
Multiply
-24
Someone pls help me . I also need to show work just in case my teacher ask me to send her a photo of my notebook .
Answer: (i) 3
(ii) 10
(iii) 1080
Step-by-step explanation:
(i) Coefficient is the number written before any variable.
Coefficient of x in [tex]3x+10=36[/tex] is 3.
(ii) Constant is a numerical term written without any variable.
Constant in [tex]2x+10=5x[/tex] is 10.
(iii) Let x be the number of miles Katie's family drive.
Since they charge $30 combined with $0.25 per mile drive.
So, Total charge = 0.25 x +30 ( in dollars)
If they charged $300, then
[tex]0.25 x +30 =300[/tex]
Subtract 30 from both sides, we get
[tex]0.25x=270[/tex]
Divide both sides by 0.25, we get
[tex]x=1080[/tex]
Hence, Katie drove 1080 miles.
