Answer:
a. Quotient property of logarithms, P = log[(d + 1)/d]
b. log2 = 0.301
Step-by-step explanation:
a. State with property you would use to rewrite the expression as a single logarithm.
I would use the Quotient property of logarithms, which states that
logA - logB = log(A/B)
So, P = log(d+1) - log(d) = log[(d + 1)/d]
b. What is the probability that the number 1 is the leading digit
Since d = 1,
P = log[(d + 1)/d]
= log[(1 + 1)/1]
= log(2/1)
= log2
= 0.301
What is the length of a rectangle with an area of (4x^2-10x-6) and a width of (x-5)
Help lleaseee
sin^2 x + 3sin x + 2 = 0f for 0 <= x <= 2pi
Solve for x
Worth 8 marks.
Step-by-step explanation:
first inequality gives
(2sinx−1)(sinx+2)>0
(sinx−
2
1
)>0
6
Π
<x<
6
5Π
second inequality gives
(x+1)(x−2)<0
−1<x<2
common part is
6
Π
<x<2
hOpe it help!!!
How would I graph y=3x???
Answer:
Go to desmos
Step-by-step explanation:
Answer:
youre gonna to the the cords (1,3) on a graph, and do a diagonal line that goes through the 0
Solve for x and y
Please help it’s timed
If the least common multiple of N and Z is 15, which of the following is a common multiple of N and Z?
Answers:
105
35
65
92
1,30,45,60,75,90,105
How much is 7-3x21=?
A population of bacteria grows according to the function p(t) = po · 1.42, where t is measured in hours. If
the initial population size was 1,000 cells, approximately hoy long will the it take the population to exceed 10,000
cells? Round your answer to the nearest tenth.
Answer:
The time duration for the population to exceed 10,000 is approximately 6.6 hours
Step-by-step explanation:
The given equation for the population of a bacteria is presented as follows;
[tex]p(t) = P_0 \cdot 1.42^t[/tex]
Where;
t = The time duration in hours
The initial population of the cells = 1,000
Therefore, at t = 0, P(0) = 1,000 = P₀ × 1.42^0
∴ P(0) = 1,000 = P₀ × 1 = P₀
P₀ = 1,000
When the population is 10,000, we have;
P(t) = 10,000 = 1,000 × 1.42^t
∴ 1.42^t = 10,000/1,000 = 10
㏒(1.42^t) = ㏒(10) = 1
∴ t × ㏒(1.42) = 1
t = 1/㏒(1.42) = 6.56649071898
∴ The time duration for the population to exceed 10,000, t ≈ 6.6 hours.
The sum of 3 and y is greater than 10
Answer:
3 + y > 10
Step-by-step explanation:
Is your expression.
Just use the keywords the sum of and greater than.
HELP DUE IN 10 MINS! Finish the statement.
Corresponding sides of similar figures are??
Answer:
proportional
Step-by-step explanation:
Answer:
Proportional
Step-by-step explanation:
Can someone help me with these 3 questions please
Answer:
1. 1.5. 2.negitive 3. reciprocal hope it helps so sorry if its wrong
HELP ME PLEASEEE IM LITERALLY FAILING BYE
Answer:
A)$2.50 x b = total cost
B) 9 x 2.50 = $22.5
C) 50 x $2.50 = $125 - $14.75 = $110.25
Answer:
Can barely even see it..
Step-by-step explanation:
How am i suppose to help when i cant even see all of it?
For what values of x will this function be defined?
Answer:
U have to put up the graph or something so i can answer your question. thank you!
Step-by-step explanation:
Add 8x to 2x and then subtract 5 from the sum. If x is a
positive integer, the result must be an integer multiple
of...
A. 2
B. 5
C. 8
D. 10
E. 15
Answer:10
Step-by-step explanation:
What will your balance be on an investment of $1,000 at 4.% for 5 years compounded annually.
30 POINTS ANSWER
Answer:
200
Step-by-step explanation:
because if you take 4 percent of 1000 you get 40 and 40 x 5 is 200
Please hurry and thank you for your help
Answer:
c. y = -1/3x+3
Step-by-step explanation:
i hope this helps :)
A consumer charges a 2530.16 purchase on the credit card the card has a daily interest rate of .042% if the consumer piece of the balance at the end of 30 days how much more in interest will they pay for the purchase? A point $.32 be $3.19 C $31.88 D $318.78
Answer:
$31.88
Step-by-step explanation:
Given
Consumer charges = 2530.16cents
Consumer charges in dollars = $25.3016
Interest rate per day = 0.042%
Interest gotten per day = 0.042×25.3016
Interest per day = $1.06266
Interest in 30 days = ,30×1.06266
Interest in 30 days = $31.88
Answer:
c pls mark barliest
Step-by-step explanation:
The equation of a straight line is 3y + 9x -12 =0. Use the equation to find the
(1) gradient of the line
Answer:
-3
Step-by-step explanation:
Divide through the equation by the leading coefficient to obtain:
y+3x-4=0
y=4-3x
and our gradient is -3
The Domain of a functions has which values?
Answer:
The domain of a function is the complete set of possible values of the independent variable. In plain English, the definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
Step-by-step explanation:
the calculate the mean,____ all the numbers in the data set and then ____
A. add,divide
B.add,subtract
C.count,multiply
D.divide,add
Answer:
D
Step-by-step explanation:
D should be your answer
I will love you forever if you give me the answer
Use ADEF, shown below, to answer the question that follows:
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in
the box below. (4 points)
Answer:
41.5
Step-by-step explanation:
you use the trigonometric equations. in this case, we will use SOH:
sin 49=opposite/adjacent
sin 49=x/55
55 sin 49=x
41.50=x
Therefore, x is equals to 41.50. And it is already to it's nearest hundredth.
The value of x is 41.25.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
We use the sin function.
Sin 49 = DE/DF
Sin 49 = x / 55
0.75 = x / 55
x = 0.75 x 55
x = 41.25
Thus,
The value of x is 41.25.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
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Complete the following proof given <1 =<4 ; <4 and <5 form a linear pair prove: <1 and <5 are supplementary
please help ;( solve
Answer:
D
Step-by-step explanation:
308 in^2
Please help me with this.
Answer:
15.6 inches
Step-by-step explanation:
Here we want to find the length of the missing side
Mathematically, we can use Pythagoras’ theorem
The theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Let the missing side be x
18 is the side that faces right angle and this is the hypotenuse
Thus, we have ;
x^2 + 9^2 = 18^2
x^2 = 324 - 81
x^2 = 243
x = √(243)
x = 15.6 in
In the figure shown below, if line l is parallel to line m, then find the value of x
Answer:
Step-by-step explanation:
x = 180-65 = 115°
HELPPPPPP AHHH PLAESEEEEEEE
Answer:
The answer is D 3x+y=1 and 3x-2y=16
Step-by-step explanation:
Classify the polynomial.
-3y² – 2y + 4y - 1
A patio tile design is constructed from a square inscribed in a circle. The circle has radius 6 square 2 feet.
Answer:
Step-by-step explanation:
The edge of the square is 12 feet. Then the area of the square is 144 square feet.
What is the area of the square?All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.
Then the area of the square will be
Area of the square = a² square units
A porch tile configuration is developed from a square engraved all around. The circle has a span of 6√2 feet.
The edge of the square is calculated as,
(2r)² = a² + a²
2r² = a²
2 × (6√2)² = a²
2 × 36 × 2 = a²
a² = 144
a = 12 feet
Then the area of the square is calculated as,
A = (12)²
A = 144
The edge of the square is 12 feet. Then the area of the square is 144 square feet.
More about the area of the square link is given below.
https://brainly.com/question/1658516
#SPJ2
Help me with this pls
Answer:
x=9
Step-by-step explanation:
dyyfjfjsjujsjsivjsjicuejie82iu3828i$>÷>$>$>×&$:
Answer:
x = 9
Step-by-step explanation:
Cross multiply:
2x = 18
x = 18/2
x = 9
Ms. Tang bought 4 sets of doughnut she created a package of treats using 2/3 of a set. How many packages did she create using all 4 sets
Answer:
3
Step-by-step explanation:
1.How can you find the x-intercept of the graph of 2x+3y=6. Explain in words pls
Answer:
Step-by-step explanation:
The x-intercept is the value of x when y=0.
2x+3(0) = 6
x = 3
The x-intercept is 3