We have to Find:
The value of x[tex] \sf \longmapsto5^{ - x }= 6[/tex]
Let's start.
Take Logarithm of both sides[tex] \sf \longmapsto log(5^{-x}) = log(6) [/tex]
Solving Further[tex] \sf \longmapsto - x \: log(5) = log(6)[/tex]
[tex] \sf \longmapsto - x = \dfrac{ log(6) }{ log(5) } [/tex]
Take the minus from (-x) and put in on log(6)[tex] \sf \longmapsto \: x = \dfrac{ -log(6) }{ + log(5)} [/tex]
Done
Derivative this Problem.
[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1}{x-1}[/tex]
[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1^2}{x-1}[/tex]
[tex]\\ \sf\longmapsto 2(1)^(2-1)[/tex]
[tex]\\ \sf\longmapsto 2(1)[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
Step-by-step explanation:
[tex] \tt \lim \limits_{x \to1} \frac{ {x}^{2} - 1 }{x - 1} = ...[/tex]
[tex] = \tt \lim \limits_{x \to1} \frac{(x + 1) \cancel{(x - 1)}}{ \cancel{(x - 1)}} [/tex]
[tex] = \tt \lim \limits_{x \to1}(x + 1)[/tex]
[tex] = \tt1 + 1[/tex]
[tex] = \boxed{ \bold{ \blue{ \underline2}}}[/tex]
At her birthday party marcies guests are 2/3 of her birthday cake and her family ate 1/4 of the cake how much cake was left after her party
Answer: 1/12 of the cake.
Step-by-step explanation:
First, find the LCM (Least Common Multiple) of 3 and 4. The easiest way to do this is to multiply the two together. 3*4 = 12.
Now, convert each fraction to be out of twelfths. Do this by setting up a proportion. 2/3 = x/12. Cross multiply and divide. 2*12 = 24. 24/3 = 8. Therefore, 2/3 = 8/12.
Do the same for 1/4. 1/4 = x/12. Cross multiply and divide. 12*1 = 12. 12/4 = 3. Therefore, 1/4 = 3/12.
Now add these two fractions by adding the numerators and keeping the denominators the same. 8/12 + 3/12 = 11/12.
Subtract this answer from 1 (12/12). 12/12 - 11/12 = 1/12
you have 12 pets and 2 die every 1 and half years how many are left
Answer; 0 ,2?
Step-by-step explanation:
im not so sure tbh its a lil confusing dont they tell how many years its been?
Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 1 unit right and 3 units up, what are the coordinates of A'?
Answer:
answeris: C.(-6,-9)➡(6-9)
Solve using elimination.
–4x + 9y = –18
–x − y = –11
If
x
=
4
and
y
=
7
, evaluate the following expression:
2
(
4
x
+
3
y
)
Answer:
expression.
2(4x+3y)
2(4(4)+3(7))
2(16+21)
2( 37)
74
Kenny has 8 red shirts, 12 blue shirts, and 10 white shirts in his closet. What is the probability that he would get a white shirt out of the closet?
Answer:
1/3 or 33.33 %
Step-by-step explanation:
this is because there is 30 shirts and all and 10 white. 10/30 is 1/3, or 33.33%
Answer:
likely
If there are 8 red shirts, 12 blue shirts, and 10 white shirts. The answer would be likely
Type the correct answer in each box
The point on the number line shows the opposite of ____, or the opposite of the opposite _____.
Find the median of the list of data.
12, 18, 21, 25, 30, 43
Answer:
23
Step-by-step explanation:
the median is the "Middle" number of the set.21 and 25 are the middle numbers of the set. so now find the middle of 21 and 25.
21 22 23 24 25
23 is the median of the data set
Mr. quick bought new computer system. The regular price was 1,580 , but he got a 15% discount. How much did he actually pay?
Answer:
$1343
Step-by-step explanation:
The equation would be
x= 1580 (1-0.15)
x represents how much he actually pays.
1-0.15=0.85.
1580×0.85=1343
problem referred below
Answer:
Step-by-step explanation:
(f/g)(-4) = (-4² - 13) / (4 - (-4)) = 3/8
can you answer these fractions
[tex] \frac{2}{5} + \frac{3}{2} [/tex]
Solve for j.
19j–18j=12
j=
Answer:
12
Step-by-step explanation:
it should be 12 got it!
Hello, hope you are having a nice day.
Let's solve this equation for j. The first step is to combine like terms.
19j-18j=12
j=12
So j is 12. This is the answer.
Hope you find my answer helpful. Ask me if you have any questions.
~Just an emotional teenager who helps other people on Brainly
[tex]MagicalNature[/tex]
Good luck with your studies.
Find the product using formula ...
formula = ( a + b ) ( a - b )
a) 1.2 × 2.8
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
[tex]1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36[/tex]
Answer:3.36
Hope it helps.
Do comment if you have any query
three-quarters the product of two numbers x and y
Answer:
xy=3/4
Step-by-step explanation:
since it says the "product"
it is x(y)
3/4 goes after the = sign
Determine whether the inverse of F(x) is a function.
Solve for L:
P=2L+2W
Answer:
[tex]L=\frac{1}{2}P-W[/tex]
Step-by-step explanation:
Let's solve for L.
[tex]P=2L+2W[/tex]
Step 1: Flip the equation.
[tex]2L+2W=P[/tex]
Step 2: Add [tex]-2W[/tex] to both sides.
[tex]2L+2W+-2W=P+-2W[/tex]
[tex]2L=P-2W[/tex]
Step 3: Divide both sides by [tex]2[/tex].
[tex]\frac{2L}{2}=\frac{P-2W}{2}[/tex]
[tex]L=\frac{1}{2}P-W[/tex]
Answer:
[tex]L=\frac{1}{2}P-W[/tex]
5. What does the following addition equal?
3 and 7 eights + 6 and 5 eights
3 7/8 + 6 5/8 =
9 12/8 = 10 4/8
10 4/8 = 10 1/2
The answer is 10 1/2
If you are not looking for a mixed fraction it should be..
21/2
Help quick 20 points
Answer:
Step-by-step explanation:
1) isosceles triangle d = (180 - 110) / 2 = 35°
2) 2h + 3h + 4h = 180
9h = 180
h = 20
2h = 40°
3h = 60°
4h = 80°
last month adhem ate 5 apples , 8 bananas , 7 Peaches , 10 oranges what the ratio of apples to the total of the fruit
Answer: 5:30
Step-by-step explanation: there are 5 apples and 30 total fruits.
Answer:
5:30 or simplified 1:6
Step-by-step explanation:
There are 30 fruits including the apples, and the apples only make up 5 of the fruits.
3x-9=3
solve if you can
Finding the value of x,
→ 3x - 9 = 3
→ 3x = 3 + 9
→ x = 12/3
→ [ x = 4 ]
Thus, the value of x is 4.
Which of the following Statements are true?
Statement 1: A STOP sign is a regular
octagon.
Statement 2: An equilateral triangle has
three angles.
Answer:
C. Both statements are true
Help me fast please worth 14
Answer:
its the last one i think
Step-by-step explanation:
.
2. Suppose that you are looking for a student at your college who lives within five miles of you. You know that 55% of the 25,000 students do live within five miles of you. You randomly contact students from the college until one says he or she lives within five miles of you.
(a) What is the probability that you need to contact four people?
(b) How many students from the college you expect to contact until you find one lives within five miles of you?
(C) What is the standard deviation of the number of students to be contacted until one says who lives within five miles of you?
(d) Suppose you randomly ask 5 students at your college, what is the probability that 3 of them live within five miles of you?
(e) Suppose you randomly ask 5 students at your college, what is the expected number of students who live within five miles of you?
Using the binomial distribution, it is found that:
a) There is a 0.0501 = 5.01% probability that you need to contact four people.
b) You expect to contact 1.82 students until you find one who lives within five miles of you.
c) The standard deviation is of 1.22 students.
d) 0.3369 = 33.69% probability that 3 of them live within five miles of you.
e) It is expected that 2.75 students live within five miles of you.
For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
55% live within five miles, hence [tex]p = 0.55[/tex].Item a:
This probability is P(X = 0) when n = 3(none of the first three) multiplied by 0.55(the fourth does live within five miles), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]
[tex]p = 0.091125(0.55) = 0.0501[/tex]
0.0501 = 5.01% probability that you need to contact four people.
Item b:
The expected number of trials in the binomial distribution until q successes is given by:
[tex]E = \frac{q}{p}[/tex]
In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:
[tex]E = \frac{1}{0.55} = 1.82[/tex]
You expect to contact 1.82 students until you find one who lives within five miles of you.
Item c:
The standard deviation of the number of trials until q successes are found is given by:
[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]
Hence:
[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]
The standard deviation is of 1.22 students.
Item d:
This probability is P(X = 3) when n = 5, hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]
0.3369 = 33.69% probability that 3 of them live within five miles of you.
Item e:
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
Hence:
[tex]E(X) = 5(0.55) = 2,75[/tex]
It is expected that 2.75 students live within five miles of you.
A similar problem is given at https://brainly.com/question/25343741
PLS HELP ME
what party was against a strong central government, government promotion of trade and industry?
A: Federalist
B: Democrat-republicans
C: Whigs
D: Democrats
I need it now pls it's a k-12 test
Answer:
the answer is a federalist and your welcome
Step-by-step explanation:
The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.
ROOM
Write an equation in function notation for each situation.
1. The admission fee to a local carnival is $8. Each ride costs
$1.50
2. Steven buys lettuce that costs $1.69/1b.
3. An amusement park charges a $6.00 parking fee plus $29.99
per person.
4. A math tutor charges $35 per hour
5. A fitness center charges a $100 initiation fee plus $40 per
month
Answer:f(x)=1.5-x + 8
Step-by-step explanation:
Nine more than the product of a number and 3 is equal to 6
Answer:
x = - 3
Step-by-step explanation:
9 more than the product of a number and three is equal 6.
9 + (x · 3) = 6
9 + 3x = 6
3x = -9 + 6
3x = - 3
x = - 3
Answer:
3x + 9 =6
Step-by-step explanation:
plz help i only need this question who ever get its right will get 77 point
Answer:
Ok, so I think it's x= 2.5 and y= 306.1 plz forgive me if I'm wrong.
Describe the slope of the line. Then find the slope. What’s the slope?
Hello there!
We are given two points.
We use the following formula:
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{4-7}{0-(-1)}[/tex]
[tex]\frac{4-7}{0+1} \\\frac{-3}{1} \\-3[/tex]
So the slope is -3. Hope it helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
Answer:
[tex]\boxed{\boxed{\sf Slope: -3}}[/tex]
Step-by-step explanation:
To find the slope of a line given the coordinates of two points on the line, use the slope formula.
[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]
x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.
[tex]\sf Points: \left(-1,\:7\right)\: and\: \left(0,\:4\right)[/tex]
[tex]\boxed{\sf \left(x_1,\:y_1\right):\left(-1,\:7\right)}[/tex]
[tex]\boxed{\sf \:\left(x_2,\:y_2\right):\left(0,\:4\right)}[/tex]
[tex]\longmapsto\sf slope\:(m)=\cfrac{4-7}{0-\left(-1\right)}[/tex]
[tex]\longmapsto\sf slope\:(m)=-3[/tex]
_________________________________
The additive inverse of [tex]a-b[/tex] is:
A. a + b
B. -a + b
C. -a - b
D. [tex]1/a-b[/tex]
Additive inverse refers to any number that when added to the original number gives the result as zero.
[tex]a-b +AI = 0\\\\\implies AI = b-a = -a+b[/tex]