[tex]\\ \sf\longmapsto \dfrac{4}{m+m}\times \dfrac{4}{m-m}[/tex]
[tex]\\ \sf\longmapsto \dfrac{4\times 4}{(m+m)(m-m)}[/tex]
[tex]\boxed{\sf (a-b)(a+b)=a^2-b^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{16}{m^2-m^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{16}{0}[/tex]
[tex]\\ \sf\longmapsto \infty[/tex]
Answer:
(16-m^4)/m^2
Step-by-step explanation:
=([tex]\frac{4}{m}[/tex]+m)([tex]\frac{4}{m}[/tex]-m)
=[tex]\frac{4+m^2}{m}[/tex]*[tex]\frac{4-m^2}{m}[/tex] (LCM)
[tex]\frac{16-m^4}{m^2}[/tex] (a-b)(a+b)
Eight gardeners equally share 1/2 of a pile of pine needles. What fraction of the pile does each gardener receive?
Answer:
Each gardner will get 1/16 of a pile of pine needles.
Step-by-step explanation:
1/2 ÷ 8
*Switch the division to multiplication and flip the 8 (or 8/1) upside-down.
= 1/2 · 1/8
= 1/16
PLEASE HELP WITH BOTH OF THESE ASAP!
Answer:
Hello,
Step-by-step explanation:
[tex]\overline{x}=3262\\\sigma=1100\\\\P(x\geq 1000)=P(x\leq 3262+(3262-1000))=P(x\leq 5524)\\\\z=\dfrac{x-\overline{x}}{\sigma} =\dfrac{5524-3262}{1100} =2.05\overline{63}\\\\\\P(z\leq 2.05)=0.9789\\\\P(z\leq 2.06)=0.9803\\\\\\\boxed{0.9789\leq P\leq 0.9803}\\\\\\[/tex]
[tex]P(x\leq 4000)=P(z\leq \dfrac{4000-3262}{1100} )=P(z\leq 0.67\overline{09})\\\\P(z\leq 0.67)=0.7486\\P(z\leq 0.68)=0.7517\\\\0.7486\leq P\leq 0.7517\\[/tex]
How to solve this question. I need to show my work for this question.
A cookie recipe calls for 3 eggs and makes 4 dozen cookies.
a). How many cookies could you make with a dozen eggs?
b). How many eggs would you need to make 18 dozen cookies?
Step-by-step explanation:
Recall that 1 dozen = 12 so 4 dozen cookies has a total of 48 cookies. We are going to use the following ratios to solve the problem:
[tex]\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right)[/tex] and [tex]\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right)[/tex]
a) [tex]12\:\text{eggs}×\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right) = 192\:\text{cookies}[/tex]
b) 18 dozen cookies = 216 cookies
[tex]216\:\text{cookies}×\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right) = 13.5\:\text{eggs}[/tex]
HELPP plz don't send a file whats the answer and explanation plz if you can
Answer:
5/0 is not a rational number
Step-by-step explanation:
you cant divide by 0
please Help with my area math question. I don't remember how to do it. multiply or add? and what is the answer to this?
Answer:
100 inches^3
Step-by-step explanation:
The volume of the back rectangle is
V = l*w*h
V = 8*5*1 = 40 inches ^3
The volume of the front rectangle is
V = 6*2*5 = 60 inches^3
Add the volumes
40+60 = 100 inches^3
What is 3.142857 rounded three decimal places
Answer:
3.143
Step-by-step explanation:
Since you're rounded it to the third decimal, you look at the fourth one. And since the fourth one is 8, ur going round 2, which is the third decimal to 3.
Answer:
The answer is below
Step-by-step explanation:
In this question, to round three decimal place, we need to count three numbers after the dot.
Here..
the three numbers are 142
so after that we round it, so first of all we ignore 1 and, and focus on the number 2 and 4.
and if the number is below 5, it is rounded to the last number, but if the number is 5 or more than it, then we round it to the next number.
For example
142 - here we have 2, which is below 5, so we round it to '140'
where as if we have..
147 - here we have 7, which is above 7, so we round it to '150'
____________________________________________________________
So in this problem we round 142, so the number 2 is below 5 so it is round to 140
therefore the answer is - 3.14
A translation T maps point B(-2,4) onto point B (3,-1). What is the translation T?
HELP PLSS!!!!
A- (x+5, y-5)
B- (x+5, y+5)
C- (x-5, y+5)
D- (x-5, y-5)
Answer:
(x+5, y-5) is the correct answer
Step-by-step explanation:
first, take -2 and 3 on x value; when you jump from -2 to 3, your answer is positive 5
second, take 4 and -1 on y value; when you jump from 4 to -1, your answer is negative 5
hence your answer for this question is a- (x+5, y-5)
The domain and range for function g are D(−infinity symbol, infinity symbol) and R(−infinity symbol, infinity symbol). Describe the following statement:
the limit as x approaches 3 of the function g of x equals 4
Select one:
a. The value of g at 3 is 4.
b. The value of g at 4 is 3.
c. As x gets closer to 4, the value of g gets closer to 3.
d. As x gets closer to 3, the value of g gets closer to 4.
The answer is d: As x gets closer to 3, the value of g gets closer to 4.
The limit of a function h of x as x approaches the value a, written as [tex]\lim_{x \to a} h(x) = L[/tex] is the value the function h(x) approaches as x tends to the value "a", written as x → a. In this case, L.
Given the domain and range for function g are D(−∞, ∞) and R(−∞, ∞) and that the limit as x approaches 3 of the function g of x equals 4.
This implies that as x gets closer and closer to 3, the value of g gets closer and closer to 4.
Since the value g gets closer to is 3 as x gets closer to 4, we can write that the limit as x approaches 3 of the function g of x equals 4.
we can write this as
[tex]\lim_{x \to 3} g(x) = 4[/tex]
So, as x gets closer to 3, the value of g gets closer to 4.
So, the answer is d: As x gets closer to 3, the value of g gets closer to 4.
Learn more about limits here:
https://brainly.com/question/23144996
Find the perimeter of the image below
A physician orders Diflucan oral suspension 200 mg now followed by 100 mg daily for a total of two weeks. How many 35 mL bottles of Diflucan 10 mg/ml suspension are needed to fill this prescription?
Answer:
Step-by-step explanation:
Total amount = 200 mg + (13 days)×(180 mg)/day = 2620 mg
One 35 mL bottle contains (35 mL)×(10 mg)/mL) = 350 mg of medication.
(2620 mg)×(1 bottle)/(350 mg) ≈ 7.5 bottles
8 bottles are needed.
look at the image below
How many gallons of a 42% salt solution do we need to mix with 98 gallons of a 20% salt solution so that the resulting mixture is a 28% salt solution ?
Answer:
56
Step-by-step explanation:
98 gallons of a 20 percent salt solution results in 20/100 * 98 = 19.6 gallons of salt.
Let's say we need x gallons of the 42% salt solution.
To make sure that the resulting mixture has 28% salt, we need to have the total salt divided by the total amount of gallons.
We have 98 total gallons in the first solution, and x total gallons in the second solution. We have 19.6 gallons of salt in the first solution and 42% of x gallons in the second solution:
[tex]19.6+\frac{42}{100}(x)=\frac{28}{100}(98+x)[/tex]
Expanding, we have
[tex]19.6+\frac{42}{100}x=27.44+\frac{28}{100}x[/tex]
Subtracting 19.6 and subtracting 28/100x from both sides equals
[tex]\frac{14}{100}x=7.84[/tex]
Multiplying both sides by 100:
[tex]14x=784[/tex]
Dividing both sides by 14:
[tex]x=56[/tex]
if 405 is to be divided among three persons A, B, C in the ratio of 3:5:7, how much money does each one get? Express them in percentages.
Step-by-step explanation:
Pls Mark me
Brainliest!!!!Two trains are 500 miles apart when they first start moving towards each other. If in two hours the distance between them is 300 miles and one train goes 20 miles faster than another, find the speed of the faster train. (Note: there are two possible solutions. Could you please find both?)
Answer:
Step-by-step explanation:
They travel 500 - 300 = 200 miles in 2 hours so their combined speed is
100 mph.
If their respective speed are x and y mph then we have the system
x + y = 100
x - y = 20
Adding the 2 equations
2x = 120
x = 60
and y = 40.
The other solution is that y = 60 mph and x = 40 mph.
please help brainliest to correct answer
Answer:
Question for number 3 is -3
Question for number 4 is 6
Step-by-step explanation:
Brainless please
How to solve this question
hopefully this answer can help you to answer the next question. can you choose this answer as the brainliest answer and give five stars
The length of the hypotenuse of a 30 -60 -90 triangle is 32. What are the lengths of the legs?
Answer:
16, 16(sqrt3)
Step-by-step explanation:
30-60-90 triangles follow a rule where the hypotenuse is 2 times the shortest leg, and the longer leg is sqrt3 times the shorter leg.
So, the sides are x, 2x, and (sqrt3)x.
If 2x = 32, then x = 16.
Therefore the two legs are 16 and 16(sqrt3)
you can search up 30-60-90 triangle for more information
Question 20
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>
The height y (in feet) of a ball thrown by a child is
1
y = 22 + 4x + 5
12
where x is the horizontal distance in feet from the point at which the ball is thrown.
(a) How high is the ball when it leaves the child's hand?
feet
(b) What is the maximum height of the ball?
feet
(C) How far from the child does the ball strike the ground?
feet
Question Help: Message instructor
Submit Question
Answer:
y=4x+13.....................................
represent -√2.3 and +√2.3 on number line
Answer:
-√2.3 on left of number line and zero and +√2.3 on right side of number line and zero
Step-by-step explanation:
The area between z=.34 and z=1.93
Answer:
34.013%
0.36693 - 0.0268 = 0.34013
Step-by-step explanation:
z=.34 and z=1.93
0.34 0.36693
1.93 0.0268
Which equation represents a circle whose center is left parenthesis negative 7 comma 4 right parenthesis with a radius of 5?
Answer:
last option
Step-by-step explanation:
(x-h)²+(y-k)²=r²
(x--7)²+(y-4)²=5²
(x+7)²+(y-4)²=25
The equation of the circle is (x + 7)² + (y - 4)² = 25.
Option D is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
The equation of a circle with center (h,k) and radius r.
(x - h)² + (y - k)² = r²
Substituting the given values, we get:
(x - (-7))² + (y - 4)² = 5²
Simplifying the equation:
(x + 7)² + (y - 4)² = 25
Therefore,
The equation of the circle is (x + 7)² + (y - 4)² = 25
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ3
The length of rectangle is double of it's breadth .if its perimeter is 48 cm then find it's length.
Step-by-step explanation:
Let breadth be x,
then length is 2x cm,
perimeter of rectangle=2(l+b),
48=2(2x+x),
48÷2=3x
24=3x
24÷3=x
8cm =x,
B=8cm
L=2×8=16cm
Answer:
length =2x
breadth= let x be breadth
Perimeter = 48cm
now
Perimeter = 2 (l+b)
or, 48 cm = 2 (2x+x)
or, 48cm= 4x + 2x
or, 48 cm = 6x
or, 48cm÷6 =x
x = 8 cm
breadth= 8cm
length = 8 ×2 =16cm
Give example to verify if the given statement is true or false
1) if two numbers are co-primes , at least one of them should be prime number.
Answer:
no
Step-by-step explanation:
if two numbers are co-prime that is not necessary that one of them must be a prime number
The produce of three and the sum of a number and eight
Answer:
3(x + 8)
Step-by-step explanation:
"The product of three and the sum of a number and eight".
First, note that:
1) Product means multiply.
2) Sum means addition.
With that in mind, also note the order of operations. The order of operations is defined as PEMDAS, or:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
Also, let "a number" be denoted as the variable, x.
~
Firstly, "the sum of a number and eight": x + 8
Next, "The product of...": 3 *
Putting the two parts together will generate: 3(x + 8)
3(x + 8) is your answer.
~
Ivan drove 335 miles in 5 hours.
At the same rate, how long would it take him to drive 737 miles?
hours
Х
?
Answer: x= 11
Step-by-step explanation:
To answer the question, we first need to know how many miles he/she/it can drive in one hour (to make it simpler. Doing a bunch of calculations involving decimals and other stuff can be very confusing)
335 divided by 5 is 67
Therefore in one hour Ivan can drive 67 miles. We want to know the TIME it takes for Ivan to drive 737 miles and the formula for time is Distance / Speed.
The distance is 737 miles
The speed is 67 miles/hour
737 divided by 67 is 11
Therefore Ivan takes 11 hours to drive 737 hours
What would be the equation for this word problem?
Jack drove y miles in 20 mins. If he continues at the same rate how many miles can he drive in the next 15 mins?
9514 1404 393
Answer:
d/15 = y/20
Step-by-step explanation:
At a given rate, distance is proportional to time. The distance d that Jack can drive in 15 minutes will be ...
d/15 = y/20 . . . . the equation
d = (3/4)y . . . . . the solution (multiply the above equation by 15, reduce)
Simplify: (-2)^-3
a) 8
b) 1/8
c) -8
d) -1/8
Answer:
-1/8
Step-by-step explanation:
(-2)^-3
We know that a^-b = 1/a^b
1/(-2)^3
We know (-2)^3 = -8
1/(-8)
-1/8
(Công ti A, kì kế toán theo tháng, đơn vị tính : vnđ). Tháng 1/N, công ti A bán 1 lô hàng hóa cho công ti T, tổng trị giá bán là 500.000.000đ, khách hàng đã nhận đủ hàng và thanh toán ngay 50% bằng tiền gửi ngân hàng, số còn lại cam kết thanh toán (theo hợp đồng) vào tháng 2/N. Hỏi : kế toán ghi nhận doanh thu tháng 1/N và tháng 2/N như thế nào nếu đơn vị áp dụng 2 nguyên tắc trên?
What is the value of n in the equation shown?
Captionless Image
Answer:
bzbdvdbdyrhevgdhs sdd
Step-by-step explanation:
ushebdvrudvd very
zhrjdvfjvrhfbrjrbr
hhrbdbdbfbfhfhthr
rhdjdbbffbdbbdve
There are four boys to every five girls in an introductory geology course. If there are 387 students enrolled in the course, how many are boys?
Answer: 172 boys.
Step-by-step explanation: The ratio of boys to girls is 4:5. We can say that the number of boys in the class is four multiplied by the common value that the ratio is based on. We can call this common value x and say that the number of boys in the class is 4x. Applying the same logic to the girls, we can say that there are 5x girls in the class. Thus, a total of 9x children. We divide the total value by 9 to get x, which equals 43. We can then retrieve the number of boys by calculating 4x, which equals 172.
