Answer:
320M
Step-by-step explanation:
It is given that Canada's population is 1/10th of the USA's population, essentially meaning that the US's population is 10x that of Canada's. Therefore, if Canada's population is 32M, multiply 10 to that:
32,000,000 x 10 = 320,000,000
320,000,000 people live in the US.
~
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]
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
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]
A drink name with 3 letters
Answer:
tea
Step-by-step explanation:
just cuz lol
Answer:
Gin
Step-by-step explanation:
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
[tex]-7+1[3+8(2^2-8)][/tex]-7+1[3+8(2^2-8)]
Answer:
-36
Step-by-step explanation:
-7+1[3-32]
= -7-29
= -36
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
To learn more about equations click :
https://brainly.com/question/19297665
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Will give brainliest
Combine like terms to simplify the
equation below.
4a - 2a + 6b + 2a
=
[?]a +
[ ]b
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 -∞.
√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]
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]
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)
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.
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
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
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
tell whether the statement is always, sometimes, or never true for real numbers a, b, and c.
(a+ b) + c = a + (b + c)
Answer:
true
Step-by-step explanation:
a,b,c is constant
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
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
What is the exponential form of the following expression?
(–5)(–5)(–5) · c · c · c
Answer: -5^3
Step-by-step explanation:
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.
Which decimal is closest to the dot marked on the number line?
32 to nearest houndred
100,000 x $15 ?!!!?!?!?
Answer:
100,000 x $15 = 1.5 million US$
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
Please help with all ASAP I’ll mark Brainly
Answer:
4 2/4 2/3 3/4 5/8
Step-by-step explanation:
Integration of x+4/(x+2)"2
Answer:
is this u want?
Step-by-step explanation:
if no so sorry..
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
9(g? - 1)
Nbshdjsjsjhssns
9a^2 - 9
Uejdjeujdksjdndkdkdk