Answer:
...................
Step-by-step explanation:
..
Evaluate.
(1/5+1/2)^2+3/10⋅5
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
1/5+1/2²+3/10•5=1/7²+15/100
The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100.
What is a number system?The number system is a way to represent or express numbers.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given expression,
(1/5+1/2)^2+3/10⋅5
⇒ (1/5+1/2)²+ 15/10
Take LCM in the bracket as 10
⇒ [(2 + 5)/10]² + 15/10
⇒ (7/10)² + 15/10
⇒ 49/100 + 15/10
Take LCM as 100
⇒ (49 + 150)/100 = 199/100
⇒ 1 99/100
Hence "The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100".
For more about the number system,
https://brainly.com/question/22046046
#SPJ2
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. x-8=8-x
Hello!
Answer:
One solution (8)
Step-by-step explanation:
Hope this helps!
Simplify each radical
1-4
f(x)=10-9/2x
if f(x)=-53x find x
Answer:
x = -20/97
Step-by-step explanation:
f(x) = -53x is your output
so -53x = 10-9/2x
-53x - 10 = -9/2x
lets clear the fraction by multiplying each side by 2
-106x - 20 = -9x
-97x = 20
x = -20/97
When f(x) is equal to -53x, the value of x is approximately -0.2062. To find the value of x when f(x) is equal to -53x, we can set the two expressions equal to each other and solve for x:
Given: f(x) = 10 - (9/2)x , And: f(x) = -53x
Setting them equal to each other: 10 - (9/2)x = -53x
To solve for x, let's first get rid of the fraction. We can do this by multiplying the entire equation by 2: 2 * (10 - (9/2)x) = 2 * (-53x)
20 - 9x = -106x
Now, let's isolate the variable x on one side of the equation. Let's move the -9x term to the other side by adding 9x to both sides:
20 - 9x + 9x = -106x + 9x
20 = -97x
Finally, to find x, divide both sides by -97: x = 20 / -97
x ≈ -0.2062 (rounded to 4 decimal places)
So, when f(x) is equal to -53x, the value of x is approximately -0.2062.
To know more about expressions :
https://brainly.com/question/34132400
#SPJ3
Please let me know if this is true or false
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Yes, The given statement is True
solve pls brainliest
Answer:
Mixed number: [tex]2 \frac{1}{100}[/tex]
Improper fraction: [tex]\frac{201}{100}[/tex]
Elena fills 5 small jars with homemade jams to share with her friends. Each jar can fit cup of jam. How many cups of jam are in the jars?
Answer:
5 cups
Step-by-step explanation:
1 cup/jar x 5 jars is 5 cups
Please I have no clue
Question 1 A physician's “patient panel” is the list of all patients under their care. In the
US, the size of patient panels among primary care doctors is well modeled by a N(1500, 200)
distribution.
(a) If a "medium-sized” panel has anywhere from 1250 to 1750 patients, what proportion
of US primary care doctors have a patient panel that is NOT "medium-sized”?
(b) Find Q1,Q3 and the IQR of the patient panels of US primary care doctors.
Using the normal distribution, we have that:
a) The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
b)
Q1 = 1365.
Q2 = 1635.
IQR = 270.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For this problem, N(1500, 200) means that [tex]\mu = 1500, \sigma = 200[/tex].
Item a:
The proportion that are medium-sized is the p-value of Z when X = 1750 subtracted by the p-value of Z when X = 1250, thus:
X = 1750:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1750 - 1500}{200}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
X = 1250:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1250 - 1500}{200}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a p-value of 0.1056.
0.8944 - 0.1056 = 0.7888 are medium.
1 - 0.7888 = 0.2112.
The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
Item b:
Q1 is the first quartile, which is the 25th percentile, given by X when Z has a p-value of 0.25, so X when Z = -0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = -0.675(200)[/tex]
[tex]X = 1365[/tex]
Thus, Q1 = 1365.
Q3 is the third quartile, which is the 75th percentile, given by X when Z has a p-value of 0.75, so X when Z = 0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = 0.675(200)[/tex]
[tex]X = 1635[/tex]
Thus, Q3 = 1635.
The IQR is the difference between Q3 and Q1, that is:
[tex]IQR = Q3 - Q1 = 1635 - 1365 = 270[/tex]
Then, IQR = 270.
A similar problem is given at https://brainly.com/question/15953015
Which of the following represents, "The difference between a number and elght Is twenty-two"?
A. N-8=22
B. 8 - N= 22
C. 8 - 22 N
Answer:
A.
Step-by-step explanation:
The difference means subtraction. The number mean a variable which is N. Then it is 8 (is means equal sign). Then 22 is the answer. The answer is N-8=22.
Have a great day!
njsfkulrnfijrirjir help me help me help me help
Answer:
d.13/24
Step-by-step explanation:
Order the numbers from least to greatest 0.607, 607, 6.07, 60.7
Answer:
0.607, 6.07, 60.7, 607
Step-by-step explanation:
a jacket is on sale for $170. this is 80% of the regular price. what is the regular price
Answer:
$212.5
Step-by-step explanation:
x= 100*170/80
x= 17000/80
x= 212.5
Whats 4+4+(6x168) and the answer in Spanish
what value of a makes the following equation true
Answer:
It's -30
Step-by-step explanation:
Combine like terms
− 8 = 2 1 0
−7 = 2 1 0
Divide both sides of the equation by the same term
− 7 = 2 1 0
-7a/-7 = 210/-7
You cancel the -7 on the left side and divide 210 by -7
and then 210/-7 is -30
Hope this helps mark me brainliest!
What is an equation of the line that passes through the points (-2, 1)(−2,1) and (-6, -5)(−6,−5)?
Answer:
ind the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 )
to find the line parallel to x + 4y = 28 .
Step-by-step explanation:
given that x is an acute angle and cos x equals to 2 root 5/5 find without using mathematical tables or a calculator tan (90 - x)
Answer:
whats cos? i dont understand if its written in question please explain
Step-by-step explanation:
-2 as a decimal
Help if you can ik it’s simple I’m just very tired :)
Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 130 feet.
Answer:
2x + 4x = 130
x = 21.7 feet
Step-by-step explanation:
Width: x
Length: 2x
2x + 2(2x) = 130
6x = 130
x = 130/6
x = 21.7 feet
If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk cost?
Group of answer choices
Write the equation of the line that passes through the points (7, 2) and (4, -9). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
if you were to use the first ordered pair, your answer would be y - 2 = 11/3(x-7) and with the second ordered pair : y + 9 = 11/3(x-4
After 12 years I shall be three times as old as I was 34years ago. Determine my present age
Answer:
the 34 yrs Is wrong it will be 4yrs only.
Step-by-step explanation:
Let my present age=x years
After 12 years my age=x+12 years
4 years ago my age =x−4 years
According to the question,
x+12=3(x−4)
⇒x+12=3x−12
⇒3x−x=12+12
⇒2x=24
or x= 24/2 =12 years.
∴ my present age is 12 years.
hope this helps you.
[tex]\sqrt50 + \sqrt18\\[/tex]
Answer:
8\sqrt2=\sqrt128
Step-by-step explanation:
[tex] \sqrt{50} = 5 \sqrt{2} \\ \sqrt{18} = 3 \sqrt{2} [/tex]
36 workers can complete a piece of work in 12 days how many workers should be removed to complete the same work in 24 days
please explain step by step
In the fourth grade at Jefferson elementary School, there are 125 students. In the fifth grade, there are 136 students. How many total students are there in fourth and fifth grade?
answer is 261
Step-by-step explanation:
add both numbers together
Use place value and properties of operations to find the sum.
5.8
+2.3
= _
Type a whole number or a decimal
Answer:
8.1
Step-by-step explanation:
A restaurant hired 15 servers for one banquet. They pay a full-time server $21.00 per hour and a part-time server $17.00 per hour. If the labour cost of the restaurant was $275.00 per hour, how many full-time and part-time servers were there for the banquet?
Answer:
5 full time servers and 10 part-time servers
Step-by-step explanation:
Hope this helped, please let me know if it is correct.
Round 1,597 to the nearest hundred
Answer:
1600
Step-by-step explanation:
Find the product of 21 and
3/7
Answer:
The answer is 9
Step-by-step explanation:
[tex]21*\frac{3}{7} \\ \frac{21}{1}*\frac{3}{7} = \frac{63}{7} = 9 \\[/tex]
A car travels at an average speed of 45 mph for 40 minutes.
The next part of the car's journey takes 25 minutes at an average speed of 60 mph.
Show that the average speed of the entire journey is just over 50 mph.
9514 1404 393
Answer:
the average speed is 50 10/13 mph
Step-by-step explanation:
The relationship between time, speed, and distance is ...
distance = speed × time
The distance traveled in the first part of the car's journey is ...
(45 mi/h)(2/3 h) = 30 mi
The distance traveled in the second part of the car's journey is ...
(60 mi/h)(25/60 h) = 25 mi
Then the total distance is 30 mi +25 mi = 55 mi.
The total time is ...
40 min +25 min = 65 min = 65/60 h = 13/12 h
The average speed for the trip is ...
speed = distance/time = (55 mi)/(13/12 h) = 660/13 mi/h = 50 10/13 mi/h
The average speed of the journey is 50 10/13 mi/h, just over 50 mi/h.
Evaluate 3x – 6 + 5x - 1 when x =-3
Answer:
-31
Step-by-step explanation:
1. To evaluate this expression when x = -3, we just have to plug in the x-value and simplify.
[tex]3x - 6 + 5x - 1[/tex] [tex]3(-3)-6+5(-3)-1[/tex] [tex]-9 - 6 - 15 - 1[/tex] [tex]-15 - 15 - 1[/tex] [tex]-30 - 1[/tex] [tex]-31[/tex]Therefore, the answer is -31.