Answer:
The values of the 4s in 244 is, 4 and 40
Explanation:
A place value is used to understand the value of each digit based on the place or position.
Given number is 244.
Since, there are 2 fours in 244 ;
The last digit i.e, 4 on the right is in the ones' place with value= 4, and
Answer:
The values of the 4s in 244 is, 4 and 40
Explanation:
A place value is used to understand the value of each digit based on the place or position.
Given number is 244.
Since, there are 2 fours in 244 ;
The last digit i.e, 4 on the right is in the ones' place with value= 4, and
Value of a number in the tens' place is ten times the value of the same number in the one's place.
then, the second one at ten's place with value,= 40.
Step-by-step explanation:
find the value of x
x = [?]
Answer
4
Step by step explanation
2/3=x/10-x
cross multiply
2(10-x)=3x
20-2x=3x
20=3x+2x
20=5x
x=4
I need some help I’ve been trying to figure this out for a while now and I keep coming up with different answers. Match the pairs of equivalent expressions.
Answer:
dccxxydffffyyyrtttttttyhg
the area of a triangle is 6.75m. if the base of the triangle is 3m what is the height of the triangle?
Answer:
4.5m
Step-by-step explanation:
The formula for triangle is
1/2 x base x height = area
1/2 x 3 x h = 6.75m
h = 6.75 ÷3÷1/2
h = 4.5m
A. 0
B. Nonexistent
C. 1
D. -1
Answer:
[tex]\displaystyle \lim_{x\rightarrow 0^{+}} \frac{x\ln x}{\tan x}=-\infty\implies \text{B. Nonexistent (best answer)}[/tex]
Step-by-step explanation:
Recall L'Hopital's rule:
[tex]\displaystyle \lim_{x\rightarrow c}\frac{f(x)}{g(x)}=\lim_{x\rightarrow c}\frac{f'(x)}{g'(x)}[/tex]
First derivative of [tex]x\ln x[/tex]:
Recall the product rule:
[tex](f\cdot g)'=f'\cdot g+g'\cdot f[/tex]
[tex]\displaystyle \frac{d}{dx} (x\ln x)=\frac{d}{dx}(x)\cdot \ln (x)+\frac{d}{dx}(\ln x)\cdot x[/tex]
Note that:
[tex]\displaystyle \frac{d}{dx}(x)=1,\\\frac{d}{dx}(\ln (x))=\frac{1}{x}[/tex]
Simplifying, we get:
[tex]\displaystyle \frac{d}{dx} (x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x,\\\frac{d}{dx}(x\ln x)=\ln x+1[/tex]
First derivative of [tex]\tan x[/tex]:
[tex]\displaystyle \frac{d}{dx}(\tan x)=\sec^2 x[/tex]
Therefore, we have:
[tex]\displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=\lim_{x\rightarrow 0^{+}}\frac{\ln x+1}{\sec^2{x}}[/tex]
By definition, [tex]\cos x=\frac{1}{\sec x}[/tex]. Therefore,
[tex]\displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=\lim_{x\rightarrow 0^{+}}\frac{\ln x+1}{\sec^2{x}}=\lim_{x\rightarrow 0^{+}}\cos^2x(\ln x+1)[/tex]
Note:
[tex]\displaystyle \lim_{x\rightarrow 0^{+}}\cos^2x=1,\\\lim_{x\rightarrow 0^{+}}\ln x+1=-\infty[/tex]
Substitute:
[tex]\displaystyle \lim_{x \rightarrow0^{+}} \cos^2x(\ln x+1)=1\cdot (-\infty)=-\infty[/tex]
Therefore, we have:
[tex]\displaystyle \lim _{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=-\infty \text{}[/tex], which best corresponds with [tex]\boxed{\text{B. Nonexistent}}[/tex]
*Commentary:
Technically speaking, a limit exists only if it is equal to a real number. By proper definition, infinity is not a number. With that being said, you will see limits expressed as infinity or negative infinity.
Here's what I will say about this specific problem.
The problem is stipulating that we approach [tex]x[/tex] from the right side. Because of this condition, it may be unorthodox to say this limit doesn't exist. However, if the problem just asked for [tex]\displaystyle \lim_{x\rightarrow 0}\frac{x\ln x}{\tan x}[/tex], it is common and preferred to say this limit does not exist, since [tex]\displaystyle \lim_{x\rightarrow 0^{-}}\frac{x\ln x}{\tan x}\neq \displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}[/tex].
For example, [tex]\displaystyle \lim_{x\rightarrow 0}\frac{1}{x}=\text{DNE}[/tex], because [tex]\displaystyle \lim_{x\rightarrow 0}\frac{1}{x}[/tex] diverges. In other words, [tex]\displaystyle \lim_{x\rightarrow 0^{-}}\frac{1}{x}=-\infty \neq \displaystyle \lim_{x\rightarrow 0^{+}}\frac{1}{x}=\infty[/tex].
But again, the problem is asking for the limit as [tex]x[/tex] approaches from the right, in which case [tex]\displaystyle \lim _{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=-\infty }[/tex]. It's really a pedagogical choice whether to say a limit equal to infinity or negative infinity exists or not since infinity implies there is no limit, so saying the limit of something is infinity becomes an oxymoron. In this case, the person who wrote the answer choices chose to express a limit of infinity as nonexistent, but it is worth mentioning that someone else solving this problem might express [tex]-\infty[/tex] as the answer, and they would be just as, if not more, correct.
Without resorting to L'Hopital's rule, recall that
[tex]\displaystyle \lim_{x\to0}\frac{\sin(ax)}{ax} = 1[/tex]
for a ≠ 0. Then
[tex]\displaystyle \lim_{x\to0^+} \frac{x \ln(x)}{\tan(x)} = \lim_{x\to0^+}\frac x{\sin(x)} \times \lim_{x\to0^+}\cos(x) \times \lim_{x\to0^+}\ln(x)[/tex]
The first two limits exist and are equal to 1, but the last limit is -∞.
9(g? - 1)
Nbshdjsjsjhssns
9a^2 - 9
Uejdjeujdksjdndkdkdk
Please help with all ASAP I’ll mark Brainly
Answer:
4 2/4 2/3 3/4 5/8
Step-by-step explanation:
I ate 80 pieces of candy in the bag. If I ate 2/3 pieces of candy in the bag, how much candy would I have left
Answer:
[tex]thank \: you[/tex]
The number of candies left in the bag is given by the equation n = 40 candies
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as n
Now , the value of A is
The number of candies which were eaten = 80 candies
The fraction of candies that were eaten = 2/3
So , ( 2/3 ) of the total = 80
( 2/3 )A = 80
Multiply by 3 on both sides , we get
2A = 240
Divide by 2 on both sides , we get
A = 120 candies
Now , the number of candies that were left n = total number of candies - number of candies that were eaten
On simplifying the equation , we get
The number of candies that were left n = 120 - 80
The number of candies that were left n = 40 candies
Hence , the number of candies that are left is 40 candies
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The Thomas family likes to visit Everglades National Park, the largest tropical wilderness in the U.S., which partially covers the Miami-Dade, Monroe, and Collier counties in Florida. They hold an annual pass that cost $40.00. Each canoe rental costs $26.00 and each bicycle rental costs $15.00. Use an algebraic expression to describe how much they spend in a year based on the annual pass, the number of canoes rentals, and the number of bicycle rentals. Identify the parts of the expression by underlining the coefficient(s), circling the constant(s), and drawing a box around the variable(s).
Answer:
z = 40 + 26.00x + 15.00y
Coefficients: 26.00, 15.00
Constant: 40
Variables: z, x, y
Step-by-step explanation:
Let x be the number of canoe rentals and y be the number of bicycle rentals.
(The family can hold only one annual pass, so we don't need a variable for that. Rather, we'll use a "constant." But the number of bicycle/canoe rentals can change!)
Let z be how much the family spends in a year.
The family spends $26 for each canoe rental, so
26.00x for x canoe rentals
Similarly, 15.00y for y canoe rentals
So z = 40 + 26.00x + 15.00y
The coefficients are the 26.00 and the 15.00. Coefficients are the numbers attached to the variables.
The constant is 40. A constant is a number by itself.
The variables are z, x, and y. Variables are our unknowns.
Vito avido is a sales representative for a company that sells roofing material. he receives a graduated commission of 5 percent on the first $5,000 of sales, 6.5 percent on the next $15,000, and a 7 percent on sales over $20,000. What is his commission on $23,458 in sales?
Hence commission will be 7%
[tex]\\ \rm\longmapsto 23458\times \dfrac{7}{100}[/tex]
[tex]\\ \rm\longmapsto \dfrac{164206}{100}[/tex]
[tex]\\ \rm\longmapsto 1642.06[/tex]
Vito Avido's commission on $23,458 in sales is $1466.06.
Here, we have to calculate Vito Avido's commission on $23,458 in sales, we'll break down the sales amount into different ranges and apply the respective commission rates for each range.
For the first $5,000 of sales: 5% commission
Commission = 5% of $5,000 = 0.05 * $5,000 = $250
For the next $15,000 of sales: 6.5% commission
Commission = 6.5% of $15,000 = 0.065 * $15,000 = $975
For the remaining amount over $20,000: 7% commission
Sales above $20,000 = $23,458 - $20,000 = $3,458
Commission = 7% of $3,458 = 0.07 * $3,458 = $241.06
Now, add up the commissions from each range:
Total Commission = $250 + $975 + $241.06 = $1466.06
Vito Avido's commission on $23,458 in sales is $1466.06.
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Simplify the following expression and show your work in details please .
Answer:
9-2b
Step-by-step explanation:
Set up equation:
[tex]9 - 8b + 6b[/tex]
Add like terms
[tex]9 - 2b[/tex]
Write an equation that expresses the following relationship.
p varies directly with d and inversely with the square of u
In your equation, use k as the constant of proportionality.
Answer:
p = k(d)/u^2
Step-by-step explanation:
BRAINLIEST, PLEASE!
Solve for x in the equation below.
-3x + 2 = -7
Answer:3
Step-by-step explanation:
-3x+2=-7
subtract 2 from both sides
-3x+2-2-(-7-2
simplify the arithmetic
-3x=-7-2
simplify the arithmetic aging
-3x=-9
=3
Find the area of the region enclosed by
Answer:
7.5 -ln(0.25)
Step-by-step explanation:
We can first graph this function. Looking at the graph, we can separate this into two ranges -- from x=0.25 to x=1 and from x=1 to x=4.
From x=0.25 to x=1, we want to find the area above y=1/x and below y=4. To do this, we can take the integral of y=4 from x=0.25 to x=1 to encompass the whole area under y=4 from that range. Then, we subtract the area under y=1/x as we don't need that (we only want what's above it). Therefore, we have
[tex]\int\limits^{1}_{0.25}{4} \, dx - \int\limits^{1}_{0.25} {1/x} \, dx \\= 4(1) - 4 (0.25) - (ln(1) - ln(0.25))\\= 4 - 1 - ln(1) + ln(0.25)\\= 3 - ln(1) + ln(0.25)[/tex]
Next, we know that ln(x/y) = ln(x) - ln(y), so ln(0.25) - ln(1) = ln(0.25/1) = ln(0.25), so we have
3 - ln(0.25)
For x=1 to x=4, we want to find the area above y=x and below y=4. We can apply a similar strategy, subtracting the area below y=x from the area below y=4 to get
[tex]\int\limits^{4}_{1}{4} \, dx - \int\limits^{4}_{1} {x} \, dx \\ \\= 4(4) - 4(1) - (4^{2} /2 - 1^2/2)\\= 16 - 4 - 8 + 0.5\\= 4.5[/tex]
Add these two areas up to get
3-ln(0.25) + 4.5 = 7.5 -ln(0.25)
10 times as much as 9 is
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
10 x 9 = 90 which is what the question asked but. re worded
I also need an explanation please
(A)
Step-by-step explanation:
The meal cost $45.25 so 20% of this for tip is
($45.25)(0.20) = $9.05. Since the tip is split between 4 friends, divide this tip by 4 and each one paid ($9.05/4) = $2.26.
100,000 x $15 ?!!!?!?!?
Answer:
100,000 x $15 = 1.5 million US$
11. Find the solutions of x^2 - x - 30 = 0.
please look at photo and give detailed steps!! will give brainliest! thank you
Answer:
x=-5,6
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
√5•√10
PLEASE SHOW STEP BY STEP ON HOW YOU GOT YOUR ANSWER
Answer:
[tex] \sqrt{5} \times \sqrt{10} \\ = \sqrt{5} \times \sqrt{2 \times 5} \\ = \sqrt{5} \times \sqrt{2} \times \sqrt{5} \\ = 5 \sqrt{2} \\ thank \: you[/tex]
Integration of x+4/(x+2)"2
Answer:
is this u want?
Step-by-step explanation:
if no so sorry..
Find the solution to the system of equations.
-8x + 4y = 24
-7x + 7y = 28.
please answer accurately with full explanation. don't spam
Answer:
x = -2, y = 2
Step-by-step explanation:
-7x + 7y = 28
7y = 28 + 7x
y = 4 + x ----(1)
-8x+4y=24 -----(2)
sub (1) into (2)
-8x+4(4+x)=24
-8x+16+4x = 24
-8x+4x = 24-16
-4x = 8
x = -2
sub x = -2 into (1)
y=4+(-2) = 2
Answer:
1) 2x - y + 6 = 0
2) x - y + 4 = 0
Step-by-step explanation:
1) -8x + 4y = 24
= -8x + 4y - 24 = 24 - 24
= -8x + 4y - 24 = 0
= (-8x + 4y - 24) ÷ 4 = 0 ÷ 4
= -8x ÷ 4 + 4y ÷ 4 - 24 ÷ 4 = 0
= -2x + 4y ÷ 4 - 24 ÷ 4 = 0
= -2x + y - 24 ÷ 4 = 0
= -2x + y - 6 = 0
= 2x - y + 6 = 0
2) -7x + 7y = 28
= -7x + 7y - 28 = 28 - 28
= -7x + 7y - 28 = 0
= (-7x + 7y - 28) ÷ 7 = 0 ÷ 7
= -7x ÷ 7 + 7y ÷ 7 - 28 ÷ 7 = 0 ÷ 7
= -7x ÷ 7 + 7y ÷ 7 - 28 ÷ 7 = 0
= -x + 7y ÷ 7 - 28 ÷ 7 = 0
= -x + y - 28 ÷ 7 = 0
= -x + y - 4 = 0
= x - y + 4 = 0
A drink name with 3 letters
Answer:
tea
Step-by-step explanation:
just cuz lol
Answer:
Gin
Step-by-step explanation:
1/5 times 3/10
Thank you
Answer:
[tex] \frac{3}{50} [/tex]
Step-by-step explanation:
[tex] \frac{1}{5} \times \frac{3}{10} [/tex]
➡️ [tex] \frac{1 \times 3}{5 \times 10} [/tex]
➡️ [tex] = \frac{3}{50} [/tex] ✅
Troy is chasing his little brother kyle,but kyle got a 30 second head start.if kyle is traveling at 2 feet per second on
Answer:
20.
Step-by-step explanation:
when you add how far Kyle's already traveled you get sixty, the rest of the lecture explains the rest, leaving you with 20 seconds. Lol.
if f(x)=3x+8/2x-Aand f(0)=2.what is the value of a?
Answer:
[tex]a=-4[/tex]
Step-by-step explanation:
Since [tex]f(x)=\frac{3x+8}{2x-a}[/tex], we have
[tex]2=f(0)=\frac{3(0)+8}{2(0)-a}=-\frac8a[/tex]
Taking the reciprocal gives
[tex]-\frac a8=\frac12[/tex]
Then multiplying by [tex]-8[/tex] gives
[tex]a=\frac12(-8)=-4[/tex]
if the breadth of rectangle in one third of it's length and perimeter is 80 cm,find the length and breadth of rectangle
HELPPPP ASAPPPPPPPPPPPPPP!!!!!!!!
Answer:
1/2 plus 5/6 would equal 8/6 cause six is the lowest denominator so then you times 8/6 by 3 and the 2/9 by 2 and that would give you 24/18 and 4/18 and you subtract them together to 20/18 or 1 2/18
Step-by-step explanation:
1/2 plus 5/6 would equal 8/6 cause six is the lowest denominator so then you times 8/6 by 3 and the 2/9 by 2 and that would give you 24/18 and 4/18 and you subtract them together to 20/18 or 1 2/18
1/2 = 3/6
5/6 + 3/6 = 8/6
8/6 x 3 = 24/18
2/9 x 2 = 4/18
24/ 18 - 4/18 = 20/18 or 1 and 2/18
can i get some help in here please
Answer:
Step-by-step explanation:
(4c1×6c4)+(4c2×6c3)+(4c3×6c2)+(4c4×6c1)
(4×15) +(6×20) +(4×15) +(1×6)
60+120+60+6
246 ways
Write an inequality? Help me please
Half a number is more than 20.
Answer:
1/2 x > 20
Step-by-step explanation:
Let x be the unknown number
1/2 x > 20
help for 15 points . ill up it
Step-by-step explanation:
Let [tex]P_1(-1, -8)\:\text{and}\:P_2(-4, -9)[/tex]
The slope of the line through these two points is
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-9 + 8)}{(-4 + 1)} = \dfrac{1}{3}[/tex]
So the slope-intercept form of the line passing through the two points is
[tex]y = mx + b = \frac{1}{3}x + b[/tex]
To find b, we use either point into our equation. Let's use (-1, -8):
[tex]-8 = \frac{1}{3}(-1) + b \Rightarrow b = -\dfrac{23}{3}[/tex]
Therefore, the slope-intercept form of the equation for the line is
[tex]y = \dfrac{1}{3}x - \dfrac{23}{3}[/tex]
The standard form of the equation can be written as
[tex]x + 3y + 23 = 0[/tex]
a baker needs to buy 56 appels to make his pies if each bag contains 8 apples how many bags should the baker buy? pls help
Answer: 7 bags.
Step-by-step explanation:
Since the baker needs 56 apples, he needs to buy enough apples to fulfill his recipe. Since each bag contains 8 apples, he must divide 56/8, in this case yielding 7.
Answer:
7 bags
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY