Step-by-step explanation:
a1 = 27
r = -9/27 = -⅓
the formula :
an = a1. r^(n-1)
= 27. (-⅓)^(n-1)
= 3³(-3`¹)^(n-1)
= 3³(-3)^(1-n)
How can the logarithmic expression be rewritten? Select True or False for each statement. Statement True False 4 log3 c + 4 log; d = log2 (cd)* å (In a + In b) = ln Va464 3 Ine + 2 ln $ = In ( ) 0
Answer:
TrueFalse FalseHope it helps :)
The first two logarithmic expressions are true and the third one is false.
What is a logarithm?The logarithm is exponentiation's opposite function in mathematics.
This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.
Given, [tex]4log_3c + 4log_3d = 4log_3cd[/tex].
= [tex]log_3(cd)^4[/tex] it is true.
[tex]\frac{3}{4}(lna + lnb) = \frac{3}{4}ln(ab)[/tex].
= [tex]ln(ab)^{\frac{4}{3}}[/tex] it is true.
[tex]3lne + 2lnf = lne^3 + lnf^2[/tex].
= [tex]ln(e^3f^2)[/tex] it is false.
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G(x)=3/x find g'(x) a) by using the quotient rule: b) by first rewriting the expression using exponents and then differentiating.
Answer:
a) The quotient rule is:
if: f(x) = 1/g(x)
Then:
[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]
In this case, we have:
G(x) = 1/x
Then we can write this as:
G(x) = 1/h(x) with h(x) = x, and h'(x) = 1
Using the above rule we get:
G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2
b) For a function like:
f(x) = x^n
we have that:
[tex]f'(x) = n*x^{n - 1}[/tex]
Here we can write G(x) = x^-1
Then we have n = -1
If we use the above rule, we get:
[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]
So we got the same result using both methods.
Pick all the names for this shape. Sides that appear to be parallel are parallel
A. Parallelogram
B. Rectangle
C. Trapezoid
D. Quadrilateral
Answer:
I would say a parrallelogram
Step-by-step explanation:
Square the binomial: (4x-5)^2
Answer: 16x^2 - 40x + 25
Step-by-step explanation:
HELP ASAP MY TEST IS 45 MINUTES HELP
Solve the proportion.
a) x = 8
b) x = 7
c) x = 6
d) x = 5
Answer:
C is the answerStep-by-step explanation:
1.x/9=8/12
2. First simplify the equation8/12=4/6=2/3
3. Find the factor9
3*3
9*1
4. Multiply by 3/32/3*3/3=6/9
So, 6 is the answerHope this helped,
Kavitha
Answer: C. x=6
Step-by-step explanation: x/9=8/12
8/12/2/2=4/6/2/2=2/3
2×9/3
18/3
x=6
Re-write the quadratic function below in Standard Form
y = -4(x – 7)(x - 1)
Step-by-step explanation:
y = -4(x – 7)(x - 1)
= -4(x²-8x+7)
= -4x²+32x-28
What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
x2 – 14 = 2x – 14
Answer:
y=(x-1)^2 -1
Step-by-step explanation:
If you put it in the form (x-a)^2=b
The answer will be (x-1)^2=1
If 8 cents are needed to buy 10 pebbles, how many dollars are needed to buy 205 pebbles?
Answer:
Hello There!!
Step-by-step explanation:
If 8 cents=10 pebbles then do 205 divided by 10 which is 20.5 . So, 8×20.5=164 dollars.
(8×20.5=164) 8 cents=10 (10×20.5=205)
164 dollars=205
Therefore,the answer is 164 dollars.
hope this helps,have a great day!!
~Pinky~
Tara picks out 4 paint colors (beige, blue, green, and gray) to paint 4 rooms in her house (living room, dining room, main bedroom, and kitchen).
What is the probability that tara first paints her bedroom green?
ASAP!!!!!
im going to guess it's [tex]\frac{1}{4}[/tex]
A spinner has two colored regions — purple and orange — and is divided in such a way so that the probability that the spinner lands on purple is 0.9. Suppose we spin the spinner 12 times and let X = the number of times it lands in the purple region.
Calculate the mean and standard deviation of X. Round to 4 decimal places, when necessary.
μx =
σx =
Answer:
The answer is "32 and 4.6648".
Step-by-step explanation:
binomial distribution of x
probability of sucess[tex](P)=32\%=0.32[/tex]
randomly selected number by giraffes [tex]n=100[/tex]
now
[tex]\mu_x=np\\\\[/tex]
[tex]=(100)(0.32)\\\\=32\\\\[/tex]
[tex]\Sigma_x=\sqrt{np(1-p)}[/tex]
[tex]=\sqrt{100(0.32)(1-0.32)}\\\\=\sqrt{21.76}\\\\= 4.664761\\\\=4.6648[/tex]
Answer:
10.8
1.0392
Step-by-step explanation:
for the shape of the probability histogran it is D) Skewed left
A shelf is built on a wall, as shown below. What is the value of x?
Answer:
X=25
Step-by-step explanation:
All angles of a triangle add up for 180
We know that there is a 90 degree right angle.
So (x+25)+(2x-10)=180-90
Remove parenthesis since they don't matter in this problem.
x+25+2x-10=90
Combine similar terms
3x+15=90
Subtract 15 from both sides
3x=75
Divide both sides by 3
x=25
Chuck has 20 pieces of candy in a bag: 8 mint sticks, 2 jelly treats, and 10 fruit tart chews. If he eats one piece every 10 minutes, what is the probability his first two pieces will both be mint sticks?
Tornadoes usually come from a part of the storm that is low to the ground. *
True
or
False
Answer:
false
Step-by-step explanation:
they form when winds conbine a certain way
equivalent fractions,please help me!!
Answer:
54/81 is the answer
Step-by-step explanation:
Select the correct answer.
Which equation represents a function?
Answer:
D
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
4x2 + 21x + 5
A. 4x + 5
B. 4x-1
C. 4x + 1
D. 4x - 5
Answer:
c
Step-by-step explanation:
Answer:
C. 4x+1
Step-by-step explanation:
A tutor charges $5 for each class he takes per day that lasts for an hour. For each additional hour he tutors he charges $3.
Match the number of hours he tutors for in the first column with the money he makes from it.
4
2
DRAG & DROP THE ANSWER
܃ ܃ ܃ ܃
$14
5
$17
3
$11
$20
Answer:
4, $17
2, $11
Step-by-step explanation:
Given data
Charge= $5
Additional Charge= $3 per hour
The total charge will be
y= 5+3x
Number of hours
1. for 4 hours
The total will be
y= 5+3(4)
y= 5+12
y= $17
2. for 2 hours
The total will be
y= 5+3(2)
y= 5+6
y= $11
3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis
Answer: =12x+9y
Step-by-step explanation: Hope this help :D
Overnight, a pipe cracked and started to leak into a basementThe graph shows the depth of the water in relation to time
A.) How many inches does the water rise each hour?
B.) How deep is the water after four hours?
C.) How long will take for the water to reach a depth of 80 inches?
Answer:
Each hour the water will rise 10 in. After 4 hours the water will be 40 in deep. It will take 8 hours for the water to reach a depth of 80 in.
A tailor needs to make uniforms for 32 students from a piece of cloth. If the length of that piece 45 3/4m and each student requires 1 1/8m, calculate the length of cloth that would be left
Answer:
uniform for 1 student = 1 1/8 = 9/8
uniform 32 students = 32 x 9/8 = 36m
Total cloth = 45 3/4 = 183/4 = 45.75m
Cloth left = 45.75 - 36 = 9.75m i hope that helps
when a number is doubled and then eight added it became 60 what is the number
Answer:
26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
Let the number be x.
Now,
2x + 8 = 60
2x = 60 - 8
x = [tex]\dfrac{52}{2}[/tex]
x = 26
Hence, the number is 26.
PLZ HELP I BEGG!! 100 POINTS AND BRANLIEST
Answer:
Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5
Answer:
Step-by-step explanation:
<3 is a right angle so its opposite angle is vertical to it. The answer is <5.
What segment has a length of 10 units?
(3,4) to (30,40)
(0,0) to (10,10)
(-1,-2) to (9,-2)
(-2,8) to (-3,7)
consider the first six terms
in the sequence -11,-4, 3, 10, 17,24
Answer:
Next term is 31
Step-by-step explanation:
The numbers keep going up by 7.
If this has helped you please mark as brainliest
Factor the expression.
10g3 + 15g2 – 12g – 18
(5g2 + 6)(2g – 3)
(5g2 + 3)(2g – 6)
(5g2 – 3)(2g + 6)
(5g2 – 6)(2g + 3)
Answer:
Hopes this helps!!!!!!! :D
Step-by-step explanation:
48g-1820g^2-18g-1820g^2-54g-1820g^2+54g-1820g^2+18g-18All i did was plug in the problems to the caluculator lol
Find the vertices of the hyperbola. Enter the smallest coordinate first.
Answer:
([-3], [0]), ([3], [0])
Step-by-step explanation:
The given equation of the hyperbola is presented as follows;
[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1[/tex]
The vertices of an hyperbola (of the form) [tex]\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1[/tex] are (± a, 0)
The given hyperbola can we presented in a similar form as follows;
[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1[/tex]
Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;
The vertices of the parabola are ([-3], [0]), ([3], [0]).
HELP PLSPLSPSL check image
Answer:
D
Step-by-step explanation:
a puzzle is shown below. what is the area of the shaded portions of the puzzle?
Answer:
it's a parallelogram
Step-by-step explanation:
May ot helpful
Why is 6/5 not equivalent to 3/2
Answer:
It is the first choiceStep-by-step explanation:
[tex] \frac{3 \times 2}{2 \times 2} = \frac{6}{4} \\ \\ \frac{6}{4} \: \: is \: not \: equal \: to \: \: \: \: \frac{6}{5} [/tex]
The ratio 3 / 2 is multiplied by 2 on both the denominator and numerator to get the value 6 / 4, but the denominator part is not equal to 5, hence 6/5 is not equivalent to 3/2, so option A is correct.
What is the ratio?It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.
Given:
6 / 5 and 3 / 2
As you can see the numerator of 3 / 2 is multiplied by 2 to get the value 6, so the denomination should also be multiplied by the number 2,
(3 × 2 ) / (2 × 2)
6 / 4
But the result came as 4 on the numerator,
Thus, 6 / 5 and 3 / 2 are not equivalent.
To know more about Ratios:
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4.Maria tossed a coin three times. She wrote
a list of her possible outcomes. How many
outcomes on her list had at least one Tail?
A. 1
B. 3
C. 7
D. 8
Answer:
(a) 1
Step-by-step explanation:
In each outcome triplet, each flip has a chance to be H or T. Thus, the following describes all the possible outcomes:
HHHHHTHTHHTTTHHTHTTTHTTTWe see that the only option without one tail is the first one, HHH, so the answer is (a) 1.