Step-by-step explanation:
[tex]\displaystyle \lim_{x \to 1} \dfrac{(x^2 - 1)}{(x-1)} = \lim_{x \to 1} \dfrac{(x - 1)(x+1)}{(x-1)} [/tex]
[tex]\:\:\:\:\:\:\:\:\displaystyle = \lim_{x \to 1} (x+1) =2[/tex]
PLEASE HELP ME GUYS :((((((( c r y
triangle area ?
Answer:
1
Step-by-step explanation:
the answer is in the image above
Can anyone help me with this one plz
Answer:
its c my dude
Step-by-step explanation:
....................
answer is c because that is right plz brainliest and like plz
Find value a when the angle between vectors U=(2,a) and V = (-6;8) is pie/4
Answer:
Step-by-step explanation:
The formula to find the angle between 2 vectors is
[tex]cos\theta=\frac{u*v}{|u||v|}[/tex] which is the dot product of u*v over the (magnitude of u times the magnitude of v). We also know that θ = [tex]\frac{\sqrt{2} }{2}[/tex]. Filling in that formula requires us to find the dot product of u and v, which is
u·v = (2×(-6)) + (a×8) so
u·v = -12 + 8a. Then we need the magnitudes of both u and v:
[tex]|u|=\sqrt{2^2+a^2}=\sqrt{4+a^2}[/tex] and
[tex]|v|=\sqrt{(-6)^2+8^2}=\sqrt{100}=10[/tex]
Putting all of together looks like this:
[tex]\frac{\sqrt{2} }{2}=\frac{-12+8a}{10\sqrt{4+a^2} }[/tex] . Cross multiply to get
[tex]10\sqrt{2}(\sqrt{4+a^2})=2(-12+8a)[/tex] which is tricky to simplify. You really need to know the rules for multiplying radicals to do this correctly. The simplification is
[tex]10\sqrt{8+2a^2}=-24+16a[/tex] and we need to solve for a. Begin by squaring both sides to get rid of the square root to get:
100(8 + 2a²) = 256a² - 768a +576 and simplify some more by distributing through the parenthesis to get
800 + 200a² = 256a² -768a + 576. Combine like terms to come up with
0 = 56a² - 768a - 224 and we need to factor that. Assuming since you're this far in math (pre-calc or maybe late algebra 2) you know how to factor, when you do, you get values for a of - .285714... and 14.
Therefore, the value for a is 14. I checked it...it works
Answer:
a = 14, U = (2, 14)
Step-by-step explanation:
the other answer is correct.
just to add the solution path for the quadratic equation
0 = 56a² - 768a - 224
in general, a quadratic equation usually expressed in x
0 = ax² + bx + c
has its solution as
x = (-b ± sqrt(b² - 4ac))/(2a)
for us here this looks like this then
a = (768 ± sqrt(768² - 4×56×-224))/(2×56) =
= (768 ± sqrt(589824 + 4×56×224))/112 =
= (768 ± sqrt(589824 + 50176))/112 =
= (768 ± sqrt(640000))/112 = (768 ± 800)/112
a1 = (768 + 800)/112 = 1568/112 = 14
a2 = (768 - 800)/112 = -32/112 = -0.29
and the negative solution would be for a vector solution in the wrong direction (down instead of up). as V is pointing up left, and the angle is only 45 degrees (pi/4), also U has to point up.
so, 14 is the solution for U.
1.) If x varies directly as y and x = 35 when y = 7. What is the value of y when x = 25?
Answer:
y = 5
Step-by-step explanation:
[tex]x \ \alpha \ y[/tex]
[tex]=> x = k \times y\\=> 35 = k \times 7\\=> k = 5[/tex]
[tex]x = k \times y[/tex]
[tex]=>25 = 5 \times y\\ =>5 = y[/tex]
Answer:
y = 5
Step-by-step explanation:
x = 35, y = 7
x = ?y
35 = ?7
? = 5
x = 25, y = ?
x = ?y
25 = 5y
y = 5
wv^2 / Fg = r
Substitute the given values to find the value of the indicated letter.
r = ?
Given F = 11,000; W = 22,000; v = 164; g = 32
Leila buys candy that costs 8 dollars per pound. She will spend more than 40 dollars on candy. What are the possible numbers of pounds she will buy?
Answer:
She must buy more than 5 lbs
Step-by-step explanation:
First write the inequality
cost per pound * number of pounds > total cost
8 * lbs > 40
Divide each side by 8
8 lbs /8 > 40/8
lbs > 5
She must buy more than 5 lbs
Rewrite each mixed number as a sum of two signed numbers,
3 1/5
-7 3/8
Answer:
31/5 as a mixed number: 6 and 1/5
-73/8 as a mixed number:-9 and 1/8
Step-by-step explanation:
Rewriting each mixed number as a sum of two signed numbers 3 1/5 and -7 3/8 are 3 and 1/5 and -8 and 5/8 respectively
The mixed number to rewrite as a sum of two signed numbers are as follows:
3 1 / 5-7 3 / 8Rewriting as a sum of the two signed numbers can be represented as follows;
3 1/5 = 16 / 5
-7 3/ 8 = - 59 / 8
Therefore,
3 1/5 will be 3 and 1/5
-7 3/ 8 will be -8 and 5/8
Note
3 + 1/5 = 3 1/5
-8 + 5/8 = -7 3/8
learn more on fraction here: https://brainly.com/question/24645582
A square dancing contest has 245 teams of 4 pairs each. How many dancers are participating in the contest?
Answer:
1960 dancers
Step-by-step explanation:
your are on "ace" level and need help here ?
a pair is 2 people
4 pairs is therefore 4×2 people = 8
245 teams of 4 pairs or 8 people each means
245×8 = 1960 people
4-member curling team is randomly chosen from 6 grade 11 students and 8 grade 12 students. What is the probability that the team has at least 2 grade 11 students?
Answer:
0.5944 = 59.44% probability that the team has at least 2 grade 11 students
Step-by-step explanation:
The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
We have that:
6 + 8 = 14 students, which means that [tex]N = 14[/tex]
6 grade 11 students means that [tex]k = 6[/tex]
Teams of 4 members means that [tex]n = 4[/tex]
What is the probability that the team has at least 2 grade 11 students?
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,14,4,6) = \frac{C_{6,0}*C_{8,4}}{C_{14,4}} = 0.0699[/tex]
[tex]P(X = 1) = h(1,14,4,6) = \frac{C_{6,1}*C_{8,3}}{C_{14,4}} = 0.3357[/tex]
Then
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0699 + 0.3357 = 0.4056[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.4056 = 0.5944[/tex]
0.5944 = 59.44% probability that the team has at least 2 grade 11 students
Use the grouping method to factor this polynomial.
x^3 + 2x^2 + 12x +24
A. (x^2+6)(x+2)
B. (x^2 +2)(x+6)
C. (x^2 +2)(x+12)
D. (x^2 +12)(x+2)
Answer:
[tex]( {x}^{2} + 12)(x + 2)[/tex]
Step-by-step explanation:
[tex] {x}^{3} +2 {x}^{2} +12x+24[/tex]
[tex]( {x}^{3}+2 {x}^{2} )+12x+24[/tex]
[tex] {x}^{2} (x+2)+12(x+2)[/tex]
[tex]( {x}^{2} + 12)(x + 2)[/tex]
Hope it is helpful...SOMEONE HELP ME PLEASE
Answer:
y = 90
Step-by-step explanation:
You can use proportions to answer this question.
[tex]\frac{30}{-3} =\frac{y}{-9}[/tex]
Cross multiply 30 to -9; -3 to y
[tex]-270=-3y[/tex]
Isolate y by dividing -3 on both sides
[tex]y=90[/tex]
Answer:
90
Step-by-step explanation:
30/-3 = ?/-9
Cross Multiply-
30 × -9 = -270
-3 × ? = -3
-270 ÷ -3 = 90
y = 90
The perimeter of the rectangle is 80 cm. The area of the rectangle is acm2 . (i) show that x 2 40x + a = 0.
Answer:
Proved
Step-by-step explanation:
Given
[tex]p = 80[/tex] ---- perimeter
[tex]a \to area[/tex]
Required
[tex]x^2 + 40x + a = 0[/tex]
The perimeter is calculated as:
[tex]p = 2(x + y)[/tex]
Where
[tex]x,y \to[/tex] the rectangle dimension
So, we have:
[tex]2(x + y) = 80[/tex]
Divide by 2
[tex]x + y = 40[/tex]
Make y the subject
[tex]y = 40 - x[/tex]
The area of the rectangle is:
[tex]a = xy[/tex]
[tex]a = x * (40 -x)[/tex]
[tex]a = 40x -x^2[/tex]
Equate to 0:
[tex]x^2 - 40x + a = 0[/tex]
Can someone help me please
Answer:
Ishaan is correct because snakes with 17 1/4 inches occured most often in the dot plot. Raj is incorrect because 17 3/4 didnt occur the most often but it was the highest length of the snake. Ishaan is correct.
Step-by-step explanation:
Please help and show work please and please no sending links
A small county has two property appraisers, Tim and Julie. Does Tim appraise property differently on average than the Julie? Each appraiser looks at 20 properties and each independently determines the value of the property. (Tim - Julie)
How should we write the alternative hypothesis?
(mud is the population mean difference)
A. Ha: mud = 0.
B. Ha: mud > 0.
C. Ha: mud < 0.
D. Ha: mud does not equal zero.
Answer:
The answer is "Option D"
Step-by-step explanation:
In this question the "choice D" is wrong because [tex]H_a: \mu_d \neq 0[/tex].
will mark as brainliest:)
A Ferris wheel has a maximum height of 111 feet and a minimum height of 5 feet. it takes 80 seconds for the wheel to make a full rotation. it reaches maximum height for the first time at t=8. give an equation h(t) that gives the height of the rider at t seconds. how high is the rider after 23 seconds?
Find the median and mean of the data set below:
48,32,5, 13, 11, 22, 2
Answer:
the median is 13 and the mean is 13
Zoya has to earn at least $300 to meet her fundraising goal. She has only 100 bracelets that she plans to sell at $5 each. Which inequality shows the number of bracelets, x, Zoya can sell to meet her goal?
Answer:
The two inequality are : x ≤ 100 and x ≥ 60
So the inequality is : 60 ≤ x≤ 100.
Step-by-step explanation:
Answer:
Hi so the answer to this equation is:
60 _< x _< 100
Step-by-step explanation:
Sorry if it looks a little complicated, another way of phrasing it would be 60 less than or equel to x less than or equel to 100. I think this is the answer because she only has 100 braclets so she cant sell more than that, hence less than or equel to 100. and i believe it is 60 because if she sells each braclet for 5 dollars and her goal is 300, 60 would allow her to reach her goal because 5 x 60 = 300. and she needs to earn at least 300 buckaroos for her fundraiser.
Im not super great with algebra but i hope this is right and that it helps you
peace✌
One more than two-thirds of a number is the same as the number decreased by three.??
The number such that one more than two-thirds of a number is the same as the number decreased by three will be 12.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers but the division is not wholly complete.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
Let's say that number is x
Then,
2/3 of x = (2/3)x
Son,
1 more then (2/3)x = (2/3)x + 1
It is the same as x - 3
So,
(2/3)x + 1 = x - 3
x = 12
Hence "The number such that one more than two-thirds of a number is the same as the number decreased by three will be 12".
For more about fractions,
https://brainly.com/question/10354322
#SPJ2
What is the divisibility rule for 16?
Answer:
If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.
Add the last two digits to four times the rest. The result must be divisible by 16.
The last four digits must be divisible by 16.
Answer:
If the thousands digit is even, the number formed by the last three digits must be divisible by 16. If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.
Example: 3408: 408 + 8 = 416.
Step-by-step explanation:
Solve for c
X=
4
X Х
8
9
Answer:
C is 356
Step-by-step explanation:
Chris' home basketball team has a 25% chance or 0.25 probability of winning any given basketball game. What is the probability that they don't win their first game of the season until the 8th game
Answer:
0.75
Step-by-step explanation:
Given that the probability of winning a game is 25%
Pr(they don't win) = 1 - Pr(they win)
Pr(they don't win) = 1 - 0.25
Pr(they don't win) = 0.75
Hence the probability that they won is 0.75 or 75%
3,15,75,375 9th term
Answer:
1,171,875
Step-by-step explanation:
The sequence is multiplying by 5 every time. It will be 3, 15, 75, 375, 1875, 9375, 46,875, 234,375, and then 1,171,875
Find the area of the figure shown below. Use 3.14 for π. Use the formula π x r^2 to find the area of a full circle.
A)32.84 in
B)38.13 in
C) None of these answers
D)62.13 in
E)161.04 in
Answer:
c
Step-by-step explanation:
none of the answers are correct. The area of the figure is 51.53 in^2 and none of the answers are 51.53 in^2, therefore it is c.
Answer:
D. 62.13 in²
Step-by-step explanation:
the area = (8×6)+(½×3.14×3²)
= 48+14.13
= 62.13
Given m||n, find the value of x
Answer:
The answer is 104 degrees.
Step-by-step explanation:
M is equivalent to N, which means x is also 104 degrees.
Abhasra and Aliyah are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Abhasra sold 10 rolls of plain wrapping paper and 4 rolls of shiny wrapping paper for a total of $170. Aliyah sold 5 rolls of plain wrapping paper and 3 rolls of shiny wrapping paper for a total of $105. Find the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper.
Answer:
$9 and $20Step-by-step explanation:
Plain wrapping paper - pShiny wrapping paper - sEquations:
10p + 4s = 1705p + 3s = 105Double the second equation and subtract from the first one:
10p + 4s - 10p - 6s = 170 - 210-2s = - 40s = 20Find p:
10p + 4*20 = 17010p = 90p = 9The area of a circle is 810 m2. What is the circumference, in meters? Express your
answer in terms of 7.
Answer:
answer for this solution is 18π
Step-by-step explanation:
area =πr²
81π = πr²
r² = 81
r = 9
circumference = 2πr
= 2π*9
=18π
If XU = 3y-5 and RT = 32, find the value of y
Answer:
Step-by-step explanation:shsjsjdhdbshchdhchfhchdfhehxbehchr hehfhehdhejsjwhd khasa
How many factors does the following number have?
Step-by-step explanation:
myballsnahajahahahahahahahhahajaajjaajjaaaaaja
Answer: 135
exponents are :2,4,8
add on to each: 3,5,9
3*5*9 = 135
Step-by-step explanation:
who is the mathematics creator ?
