Answer:
7.3
Step-by-step explanation:
Tenth is the first digit after decimal sign
Given number is:
7.2910Since the next digit after the tenth digit is 9>5, we add 1 to tenth digit and drop the rest digits on the right of digit 2
So we get:
7.3 as rounded numberIsaac applied the steps below to find the product of (4.2)(-5.4).
Step 1: (4.2)-5.4) = (-5.4)(4.2)
Step 2:
= (-5.4)(4) + (-5.4)(0.2)
Step 3:
= (-21.6) + (-1.08)
Step 4:
= -22.68
Which step shows where Isaac applied the distributive property?
Step 1
Step 2
Step 3
Step 4
Answer: Hey There!!
The answer to this is Step 2: Distributive Property: a(b + 3) = ab + ac
Isaac's Steps are outlined below:
Step 1: (4.2) (-54) = (-54) (4.2)
Step 2: = (-5.4) (4) + (-5.4) (0.2)
Step 3: = (-21.6) + (-1.08)
Step 4: = 22.68
We observe that in Step 2:
(-5.4) (4.2) = (-5.4) (4 × 0.2) = (-5.4) (4) + (-5.4) (0.2)
Therefore, Isaac applied the distributive property in Step 2.
Hope It Helped!~ ♡
ItsNobody~ ☆
Answer:
Step 2: Distributive Property:
= (-5.4)(4) + (-5.4)(0.2)
hope this helped, here is a hug
༼ つ ◕_◕ ༽つ
[tex] \frac{x^{3} }{x^{2} + 2x + 1 } [/tex]
How do I divide a monomial by a polynomial?
[tex]x^3=\boxed{x}\cdot x^2[/tex], and
[tex]\boxed{x}(x^2+2x+1)=x^3+2x^2+x[/tex]
Subtract this from [tex]x^3[/tex] to get a remainder of
[tex]x^3-(x^3+2x^2+x)=-2x^2-x[/tex]
[tex]-2x^2=\boxed{-2}\cdot x^2[/tex], and
[tex]\boxed{-2}(x^2+2x+1)=-2x^2-4x-2[/tex]
Subtract this from the previous remainder to get a new remainder of
[tex](-2x^2-x)-(-2x^2-4x-2)=3x+2[/tex]
[tex]3x[/tex] does not divide [tex]x^2[/tex], so we stop here.
What we've done is to write
[tex]\dfrac{x^3}{x^2+2x+1}=x-\dfrac{2x^2+x}{x^2+2x+1}[/tex]
then
[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac{3x+2}{x^2+2x+1}[/tex]
and we stop here because the remainder term [tex](3x+2)[/tex] has a degree less than the degree of the denominator.
Alternatively, we can be a bit tricky and notice that
[tex]x^2+2x+1=(x+1)^2[/tex]
Now,
[tex](x+1)^3=x^3+3x^2+3x+1[/tex]
so that
[tex]\dfrac{x^3}{(x+1)^2}=\dfrac{(x+1)^3-(3x^2+3x+1)}{(x+1)^2}[/tex]
We can divide the first term by [tex](x+1)^2[/tex] easily to get
[tex]\dfrac{x^3}{(x+1)^2}=x+1-\dfrac{3x^2+3x+1}{(x+1)^2}[/tex]
Next,
[tex](x+1)^2=x^2+2x+1[/tex]
so that
[tex]\dfrac{x^3}{(x+1)^2}=x+1-\dfrac{3((x+1)^2-(2x+1))}{(x+1)^2}-\dfrac{3x+1}{(x+1)^2}[/tex]
[tex]\dfrac{x^3}{(x+1)^2}=x+1-3+\dfrac{6x+3}{(x+1)^2}-\dfrac{3x+1}{(x+1)^2}[/tex]
[tex]\dfrac{x^3}{(x+1)^2}=x-2+\dfrac{3x+2}{(x+1)^2}[/tex]
which is the same result as before.
33. A competition question requests students to form a three-digit number.
In this question, the following conditions are given.
The digits in the number must be different.
All the digits in the numbers must be prime numbers.
The number formed must be the product of four prime numbers.
The sum of the prime factors of the number is 30.
What is the three-digit number?
Answer:
532
Step-by-step explanation:
532 = 2·2·7·19
__
There are 24 possible 3-digit numbers from the set {2, 3, 5, 7}. Of those, 6 have four factors: 372, 375, 532, 572, 732, 735.
The sums of factors of these numbers are ...
38, 18, 30, 28, 68, 22
The number of interest is 532.
what are the 3 previous term in the sequence? 5, -2, -9, -16, -23
Answer:
12, 19, 26
Step-by-step explanation:
Each new term in the sequence is found by subtracting 7 from the previous term. So, each previous term can be found by adding 7 to the one you have.
The three previous terms (working backward) are ...
5+7 = 12
12+7 = 19
19+7 = 26
A is the midpoint (3,6) and B is the midpoint (11,12).find the coordinates of midpoint of AB
Answer:
M(7,9)
Step-by-step explanation:
M(3+11/2, 6+12/2)
M(14/2, 18/2)
=M(7,9)
Answer:
(7,9)
The explanation is on the photo.
Hope it helps!
#MissionExam001
9a- 24 >48 what is the solution
Answer:
The solution to the given inequality is a > 8.
Step-by-step explanation:
For this problem, we have to solve for the inequality.
9a - 24 > 48
add 24 on both sides of the inequality.
9a > 72
Divide 9 on both sides of the inequality.
a > 8
So, your solution would be a > 8.
Answer:
a > 8
Step-by-step explanation:
To solve this inequality, we have to get the variable, a, by itself on one side of the equation
[tex]9a -24 > 48[/tex]
24 is being subtracted from 9a. The inverse of subtraction is addition. Add 24 to both sides of the equation.
[tex]9a-24+24 > 48+24[/tex]
[tex]9a > 48 +24[/tex]
[tex]9a > 72[/tex]
a is being multiplied by 9. The inverse of multiplication is division. Divide both sides of the equation by 9.
[tex]9a/9 > 72/9[/tex]
[tex]a > 72/9[/tex]
[tex]a > 8[/tex]
The solution to this inequality is a > 8
Fug 20,5:45:45 PM Find the common ratio of the geometric sequence 19,95,475,-
Answer:
5
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
95/19 = 5
To verify take the third term and divide by the second term
475/95 = 5
The common ratio is 5
Kenny ueses 1/16 of the bottle of syrup every scoop of ice cream he eats how many scoops of ice cream had he ate if he had uesd 2 3/4 bottald of chocolate syrup
Answer:
[tex]\huge\boxed{Answer=>44}[/tex]
Steps:
If you do the steps correctly, the answer should be 44 ice cream scoops.
(Short way to do this problem/question)
Information given:
1. He uses 1/16 of the bottle of syrup(Every scoop of icecream he eats)
2. The question wants us to find, if he had ate 2 3/4 bottle of chocolate syrup.. how many scoops did he eat.
The steps are::::
1/16 = 16 (scoops of icecream)
Now, if we do 16 times 2 3/4 we would get...
44.
Hence, the answer is 44 scoops of icecream.
Write an equation parallel to the line determined by the points (15, -6) and (-3, 13), through: (4, 2)
Answer:
The answer is
[tex]y = - \frac{19}{18} x + \frac{76}{2} [/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
That's
Slope of the through points
(15, -6) and (-3, 13) is
[tex]m = \frac{13 - - 6}{ - 3 - 15} = - \frac{19}{18} [/tex]Since the lines are parallel their slope are also the same
So slope of parallel line = - 19/18
Equation of the line using point (4,2) and slope -19/18 is
[tex]y - 2 = - \frac{19}{18} (x - 4) \\ y - 2 = - \frac{19}{18} x + \frac{38}{9} \\ y = - \frac{19}{18} x + \frac{38}{9} + 2[/tex]We have the final answer as
[tex]y = - \frac{19}{18} x + \frac{76}{2} [/tex]Hope this helps you
Answer:y=-1.583x-8.332
Step-by-step explanation:
First find slope from two points (-6-13)/(15+3)=-1.583
Now line is parallel so the slope would be same for the other line passing through (4,2) now as the general equation of line is
y=mx+c
2=-1.583(4)+c
Solving for c equals to -8.332
So final equation is
y=1.583x-8.332
2 pounds of dried fruit spit among 7 friends
Complete the equation of the line through (3, -8) and (6, -4)
Answer:
we have,
y-y1=m(x-x1)
or, y+8=4/3(x-3)
or, 3y+24=4x-12
or, 4x +3y+36=0 is the required equation
Answer:4/3x–12.
Step-by-step explanation: I just did this on khan and got it wrong but I used hints to get the answer, so here you go.
The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. The second week had a mean high temperature of 4.86 degrees Celsius and a mean absolute deviation (MAD) of 1.91 degrees Celsius. Which week had greater variability in high temperature? Explain your reasoning.
Answer:
mean 4.86
MAD = 1.91
Step-by-step explanation:
The required week that had greater variability in high temperature is week 2.
Given that,
The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius.
The second week had a mean high temperature of 4.86 degrees Celsius and a mean absolute deviation (MAD) of 1.91 degrees Celsius.
Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
The system of observation that has a higher mean absolute deviation, will have the chance of greater variability in high temperature. So,
mean absolute deviation of week 1 = 1
mean absolute deviation of week 2 = 1.91
MAD of week 2 > MAD of week 1
Thus, the required week that had greater variability in high temperature is week 2.
Learn more about Statistics here:
https://brainly.com/question/23091366
#SPJ2
What is the best way to study all my countries? RN I'm on Asia, and I've done USA, Canada (provinces and territories), Central America, Caribbean, South America, Europe. The thing is, IDK when I have my test, but IK that incase it comes in a week, I have to be prepared. Asia and Africa has 99 countries, and I can't study that fast. I need a fast, efficient way of studying. Websites are ok. (BTW sorry I had to put this in the math section, its just a lot of people hang out there.)
use seterra its good
which algebraic expression represents five times the sum of a number and six less than ten times that same number
Answer:
5a = 10a -6
Step-by-step explanation:
let the number be a.
so five times will be = 5a.....1)
and 6 less than 10times = 10a - 6......2)
since these numbers are same..
from 1) and 2)
5a = 10a -6
we can further simplify it ..
HOPE IT HELP...
The cost of a movie ticket is $7.25. If I have $20, do I have enough money to purchase a ticket for my sister and myself as well as a drink and popcorn which costs $5.75? Explain.
Answer:
No
Step-by-step explanation:
What we have to do is find how much everything costs.
After we do that, we can compare that total cost with the amount she has to determine if she can afford everything.
Let's set up an expression to see how much everything costs.
2 Movie tickets: 7.25+7.25
Drink and Popcorn: 5.75
Total: 7.25+7.25+5.75
14.5+5.75
20.25
20.25>20
Therefore, they would not have enough money to purchase 2 tickets and drinks+popcorn.
determine the inverse of f(x)=x-2 algebraically
Answer:
The answer is
f-¹(x) = x + 2Step-by-step explanation:
To find the inverse of f(x) equate f(x) to y
That's
y = f(x)
y = x - 2
Next interchange the terms.
That's x becomes y and y becomes x
We have
x = y - 2
Make y the subject
Send 2 to the left side of the equation
y = x + 2
We have the final answer as
f-¹(x) = x + 2Hope this helps you
I need help to simplify this!!! Asap
Answer: The fraction [tex]\frac{7}{17}[/tex]
This can be written as 7/17 if you are using a computer keyboard.
====================================================
Explanation:
The two negatives next to each other basically cancel each other out to form a positive or a plus sign
We have
[tex]-\frac{9}{85} - \left(-\frac{44}{85}\right)[/tex]
turn into
[tex]-\frac{9}{85} +\frac{44}{85}[/tex]
From here, we add the fractions. To do this, we add the numerators and place the sum over the common denominator 85. This is only possible since both denominators are the same number.
[tex]-\frac{9}{85} +\frac{44}{85} = \frac{-9+44}{85} = \frac{35}{85}[/tex]
The last thing to do is to reduce this fraction as much as possible.
We see that 35 and 85 have 5 as a common factor. Divide each number by 5 to get...
35/5 = 785/5 = 17Therefore, [tex]\frac{35}{85} = \frac{7}{17}[/tex]
So overall,
[tex]-\frac{9}{85} - \left(-\frac{44}{85}\right) = \frac{7}{17}[/tex]
Nathan is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 7 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Answer:
205°
T(t) = 65°+20°t
Step-by-step explanation:
Let the temperature be T and time be t
The equation to determine the temperature T after t minutes is:
T(t) = 65° + 20°tFor t = 7 we get:
T(7) = 65° + 20°*7 = 65° + 140° = 205°Seorang pemilik toko sepatu ingin mengisi tokonya dengan sepatu laki-laki paling sedikit 100 pasang, dan sepatu wanita paling sedikit 150 pasang. Toko tersebut dapat memuat 400 pasang sepatu. Keuntungan setiap pasang sepatu laki-laki Rp 1.000 dan setiap pasang sepatu wanita Rp 500. Jika banyaknya sepatu laki-laki tidak boleh melebihi 150 pasang maka keuntungan terbesar yang diperoleh adalah. . .
Menjawab:
Rp. 275.000
Penjelasan langkah demi langkah:
Diberikan sebagai berikut:
Jumlah maksimal toko sepatu yang bisa menampung = 400 pasang
Jumlah maksimal sepatu pria = 150 pasang
Jumlah terkecil sepatu wanita = 150 pasang
Keuntungan sepatu pria = Rp 1000
Keuntungan sepatu wanita = Rp. 500
Karena itu, jumlah maksimum sepatu wanita:
(Toko sepatu maksimum dapat menampung - jumlah maksimum sepatu pria)
(400 - 150) = 250 pasang
Keuntungan terbesar yang bisa dicapai:
(Jumlah sepatu pria * keuntungan) + (jumlah sepatu wanita * keuntungan)
(150 * 1000) + (250 * 500)
Rp. 150.000 + Rp. 125.000
= Rp. 275.000
what is the square root of 75x2y
Answer:
[tex]5 \sqrt{6y} [/tex]
Step-by-step explanation:
75×2y =150y
[tex] \sqrt{150y} = 5 \sqrt{6y} [/tex]
Sara created the poster shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 28 cm, and the width is labeled as width equal to 32 cm. What would be the dimensions of the poster at fraction 1 over 4 times its current size? Length = 7 cm, width = 8 cm Length = 24 cm, width = 28 cm Length = 32 cm, width = 36 cm Length = 112 cm, width = 128 cm
Answer:
The answer is D. Length = 9, width = 6cm
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The solution to -12 + n = -15 is n = 3. true or false
Answer:
False
Step-by-step explanation:
Step 1: Write out equation
-12 + n = -15
Step 2: Add 12 on both sides
n = -3
So our answer is -3 and not 3.
Answer: [tex]False[/tex]
The answer to this problem is [tex]n=-3[/tex]
To get -3 here is the work shown
Simplify both sides of the equation
[tex]n-12=-15[/tex]
Add 12 to both sides
[tex]n-12+12=-15+12\\n=-3[/tex]
i need help rn!! my tutor is yelling at me ;(
Answer:
3 Years old
Step-by-step explanation:
Let Jake be x
Let Jenny be y
x-5=5(y-5)
x+4=2(y+4)
x+4=2y+8
x-5=5y-25
x=5y-20
5y-16=2y+8
3y=24
y=3
Find the x-intercept for the equation :. 7x - 2y = 14
Answer:
2
Step-by-step explanation:
Hey there!
Well the x intercept is the point the line touches the x-axis.
And to find it we need to graph the given equation.
7x - 2y = 14
Look at the image below ↓
By looking at the given image we can tell that the x-intercept is 2.
Hope this helps :)
Can someone help me with several questions?
1.) [-1] -[0]
2.) [2.8]+ [2.8]
3. [-3/4] - [1/4]
4.[6] - [-6]
that's it if u can give the explanation that would be great
Answer:
1.) -1
2.) 5.6
3.) -1
4.) 12
Which of the following is the closest to 15%? A. 1/7 B. 1/5 c. 1/4 d 1/3
Answer:
15%=0.15
1÷7=0.14
1÷5=0.2
1÷4=0.25
1÷3=0.33
Step-by-step explanation:
1/7
Answer:
1/7
Step-by-step explanation:
1/7 × 100 = 14.28%
1/5 × 100 = 20%
1/4 × 100 = 25%
1/3 × 100 = 33.33%
→ We can that 14.28% is the closest to 15% so 1/7 is the answer
4x + 5 = 25 x = 2 x = 5 x = 2 x = 7
Hi there!
Answer:
[tex]\huge\boxed{x = 5}[/tex]
4x + 5 = 25
Subtract 5 from both sides:
4x + 5 - 5 = 25 - 5
4x = 20
Divide both sides by 4:
4x/4 = 20/4
x = 5.
The solution of the equation 3x+4=25
Answer:
[tex]\huge \boxed{x=7}[/tex]
Step-by-step explanation:
3x + 4 = 25
Subtract 4 from both sides.
3x + 4 - 4 = 25 - 4
3x = 21
Divide both sides by 3.
(3x)/3 = 21/3
x = 7
30 POINTS!! An international company has 13,500 employees in one country. If this represents 29.7% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number. Please answer correctly!
Answer:
Approximately 45,455 total employees.
Step-by-step explanation:
So the company has 13,500 employees in one country. And this represents 29.7% of the company's employees.
In other words:
[tex]\frac{13,500}{\text{Total}}=0.297[/tex]
The left represents the number of employees in one country over the total number.
And the right is the decimal form of 29.7%. Simply move the decimal two places to the left and remove the percent symbol.
So, to solve for the total, multiply both sides by it first. The left side cancels:
[tex]\text{Total}(\frac{13500}{\text{Total}} )=\text{Total}(0.297)\\13500=\text{Total}(0.297)[/tex]
Now, divide both sides by 0.297. The right side cancels:
[tex]\text{Total}=\frac{13500}{0.297}[/tex]
Use a calculator.
[tex]\text{Total}\approx45454.5455[/tex]
So, there is approximately 45,455 total employees.
Answer:
[tex]\Large \boxed{\mathrm{45455 \ employees }}[/tex]
Step-by-step explanation:
29.7% of the company’s employees is 13,500.
Let the number of the company’s employees be x.
[tex]29.7\% \cdot x = 13500[/tex]
[tex]0.297x=13500[/tex]
Dividing both sides by 0.297.
[tex]x= 45454.5454545...[/tex]
There are 45455 employees in total (rounded to nearest whole number).
[tex] \int {tan}^{3} x \: dx[/tex]
Evaluate the integral above
Answer:
[tex] \frac{ {tan}^{2} x}{2} + \ln( |cos \: x| ) + C[/tex]
Step-by-step explanation:
[tex] \int {tan}^{3} x \: dx[/tex]
[tex]\int \: tan \: x \times {tan}^{2} x \: dx[/tex]
[tex]\int \: tan \: x( {sec}^{2} x - 1) \: dx[/tex]
distribute
[tex]\int \: tan \: x \: {sec}^{2} x - tan \: x \: dx[/tex]
[tex]\int \: tan \: x \: {sec}^{2} x \: dx \: - \int \: tan \: x \: dx[/tex]
[tex]\int \: tan \: x \: {sec}^{2} x \: dx \: - \int \frac{sin \: x}{cos \: x} \: dx[/tex]
First integrand
let tan x = u
du = sec²x dx
Second integrand
let cos x = z
dz = -sin x dx
[tex] = \int u \: du \: - \int - \frac{1}{z} dz[/tex]
[tex] = \frac{ {u}^{2} }{2} + \ln( |z| ) + C[/tex]
[tex] = \color{red}{ \boxed{ \frac{ {tan}^{2} x}{2} + \ln( |cos \: x| ) + C}}[/tex]