Answer:
[tex]x = \frac{log\ 243}{log\ 3}[/tex]
Step-by-step explanation:
Given
[tex]3^x = 243[/tex]
Required
Express as a logarithm
[tex]3^x = 243[/tex]
Take log of both sides
[tex]log\ 3^x = log\ 243[/tex]
Apply the following law of logarithm
[tex]log\ a^b = b\ log\ a[/tex]
So, the expression becomes:
[tex]log\ 3^x = log\ 243[/tex]
[tex]x\ log\ 3 = log\ 243[/tex]
Divide both sides by log 3
[tex]\frac{x\ log\ 3}{log\ 3} = \frac{log\ 243}{log\ 3}[/tex]
[tex]x = \frac{log\ 243}{log\ 3}[/tex]
Hence, the expression in base 10 is:
[tex]x = \frac{log\ 243}{log\ 3}[/tex] or [tex]x = \frac{log_{10}\ 243}{log_{10}\ 3}[/tex]
what is 3,317.88➗6 equal
Answer:
552.98
Step-by-step explanation:
using a calculator
Answer:
It equals 552.98
Step-by-step explanation:
A bag contains counters that are red, black , or green . 1/3 of the counters are red 1/6 of the counters are black There are 15 green counters in the bag. How many black counters are in the bag ?
i’ll give brainliest;)
Answer:
Number of black counters = 5
Step-by-step explanation:
Let,
x be the total number of counters
Number of red counters = [tex]\frac{1}{3}x[/tex]
Number of black counters = [tex]\frac{1}{6}x[/tex]
Number of green counters = 15
Now,
Red counters + Black counters + Green counters = Total counters
[tex]\frac{1}{3}x+\frac{1}{6}x+15=x\\\\\frac{2x+x+90}{6}=x\\\\3x+90 = 6x\\90 = 6x-3x \\90 = 3x\\3x = 90[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{90}{3}\\x=30[/tex]
Number of black counters = [tex]\frac{1}{6}*30[/tex] = 5
Hence,
Number of black counters = 5
what is 9*10^97 helppppppppppppppppppppppppppp
Answer:
9e+97
Step-by-step explanation:
Gio hiked six miles in two hours. At this rate, what is the total number of miles Gio could hike in nine hours?
Answer:
27 miles
Step-by-step explanation:
3 mph is rate speed,
3 x 9 = 27 miles
Given the system of constraints name all vertices. Then find the maximum value of the given objective
x≥0
y≥0
y≤ 1/3x+1
5≥y+x
Objective function C = 7x-2y
Answer:
[tex]35[/tex]
Step-by-step explanation:
The constraints are
The red line represents the function
[tex]y\leq \dfrac{1}{3}x+1[/tex]
At [tex]y=0[/tex]
[tex]0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3[/tex]
At [tex]x=0[/tex]
[tex]y=0+1\\\Rightarrow y=1[/tex]
Two points are [tex](-3,0),(0,1)[/tex]
The blue line represents the function
[tex]5\geq y+x[/tex]
at [tex]y=0[/tex]
[tex]5=x[/tex]
at [tex]x=0[/tex]
[tex]y=5[/tex]
Two points are [tex](5,0),(0,5)[/tex]
The other two constraints are [tex]x\geq 0[/tex], [tex]y\geq 0[/tex]. So, the point has to be in the first quadrant
From the graph it can be seen there are two points where the function will be maximum let us check them.
[tex](3,2)[/tex]
[tex]7x-2y=7\times 3-2\times 2=17[/tex]
[tex](5,0)[/tex]
[tex]7x-2y=7\times 5-2\times 0=35[/tex]
So, the maximum value of the function is [tex]35[/tex].
What is the constant rate of change between the two quantities in the table?
Pls help me I’ll brainlest for the right answer plssss help I’m failing math grades close today
Answer:
it decreased by 40%
Step-by-step explanation:
A research study showed that a sample of 25 dosages from a medicine dispensing machine averaged 24.1 mg of a certain drug. The sample standard deviation was 1.8 mg. a) Form a 99% confidence interval of the population average of drug dosage dispensed. b) Explain what this interval means to someone unfamiliar with this research.
Answer:
a) The 99% confidence interval of the population average of drug dosage dispensed is between 23.1 mg and 25.1 mg.
b) It means that we are 99% sure that the true mean dosage for all the population is between 23.1 mg and 25.1 mg.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
a)
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.797
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.797\frac{1.8}{\sqrt{25}} = 1[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 24.1 - 1 = 23.1 mg
The upper end of the interval is the sample mean added to M. So it is 24.1 + 1 = 25.1 mg
The 99% confidence interval of the population average of drug dosage dispensed is between 23.1 mg and 25.1 mg.
b)
The interval means that we are 99% sure that the true mean dosage for all the population is between 23.1 mg and 25.1 mg.
last week Pizza Port served 264 vegetarian pizzas out of a total of 792 pizzas based on this data what is the probability that the next pizza or is not a vegetarian pizza A) 2/3 B) 3 C) 3/2 D) 1/3
Can somebody plz help me?
Gina surveyed students about their lunch time preference. Out of 50 students, 20 prefer eating lunch at 11:00am, 15 prefer eating at 11:15a.m., 10 prefer eating at 11:30a.m. , and 5 have no preference. Based on the information, what is the probability that a student chosen at random has no lunch time preference?
PLEASE HELP!!! ILL GIVE U 10 POINTS AND BRAINLIEST
Answer:
D. - 2x - 8
Step-by-step explanation:
Given
-1 /3 ( 6x + 15 ) - 3
= - 1/3 * 6x + ( - 1/3 * 15) - 3
= - 2x - 5 - 3
= - 2x - 8
Hope it will help :)
Can the sides of a triangle have lengths 5, 12, and 17?
Answer:
well it can have 5 and 12
A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.4 liters. By
what percent is the student's estimate off?
Answer:
She is wrong. Since is .5, you round up to the nearest tenth. So it is 2.0
Step-by-step explanation:
If student has a container with a volume of 2.5 liters. She estimates the volume to be 2.4 liters. Then by 4% the student's estimate off
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The container of a student has a volume of 2.5 liters.
She estimates the volume to be 2.4 liters
We need to find the percent of student's estimate off.
To find this we have to find the difference of 2.5 and 2.4
2.5-2.4=0.1
Now divide zero point one divided by two point five
0.1/2.5
0.04
Multiply with hundred
0.04×100=4%
Hence 4 % is the students estimate off
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i givvveee brainlilsttttyt
Answer:
5, -5
Step-by-step explanation:
Answer:
vb cvncv xvc xv xzz xcf gv
Step-by-step explanation:
gh hg ghghbgvnghnk/.kl.ghn nb yhgkuylh89gmndfnuyhfgmdtym bh
Find the missing angle measure (?). Round to the
nearest whole number.
47
24
Answer:
50 degrees
Step-by-step explanation:
Triangle = 180
180 - 90 = 90
? = 50 degrees
At a local basketball game, all tickets are the
same price and all souvenirs are the same price.
Mr. Smith bought 2 tickets to this basketball game
and 1 souvenir for a total of $17.25. Ms. Lockhart
bought 5 tickets to the same game and 2 souvenirs
for a total of $42.00. How much was a ticket to
this game?
A - Mr. Smith
17.25 ÷ 3
= $5.75 ~ $6 Rounded-Off
B - Ms. Lockhart
42 ÷ 7
= $6
Each Ticket Costs approx. $6 Each
Solve for x 2x-13=3
X=8
X=-5
X=10
X=-8
Answer:
X=8
Step-by-step explanation:
2x-13=3 first, add 13 to both sides
2x=16 second, divide by 2 on both sides
x=8 This is the right answer
PLEASE HELP!!! 20 POINTS AND WILL MARK BRAINLIEST
[A] state which becomes progressively more and more a unity will cease to be a state at all. Plurality of numbers is natural in a state; and the further it moves away from plurality towards unity, the less of a state it becomes.
Aristotle believed that the citizens of a successful state must
share the same beliefs.
follow the leadership of a dictator.
hold annual elections.
allow for a diversity of opinions.
Answer:
allow for a diversity of opinions
Step-by-step explanation:
Please help me solve it
Answer:
The Answer for 12 x 20 is 240 if this helps there was not much info you gave me to do this sorry if this is not your question or answer
Step-by-step explanation:
Mark Me Brainliest Please
Please help im cluelessss
Answer:
The expression can be rewritten by combining like terms such as:
[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]
Step-by-step explanation:
Like term:
We know that like terms are those terms with:
same variablessame exponentsFor example,
2x and 4x are the like terms. Both have the same variables and the same power of the variable.
Similarly, 2x³ and 4x³ are like terms. Both have the same variables and the same exponents of the variables.
Please note that the like terms may have different coefficients of the variables.
NOW, REWRITING THE EXPRESSION BY COMBINING LIKE TERMS
Given the expression
[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)[/tex]
Here in the parentheses:
2/3y, 1/3y, and 9y are like terms.5 and 7 are like terms.as
2/3y + 1/3y - 9y = y - 9y = -8y-5-7 = -12Combining like terms in the parentheses
[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]
Therefore, the expression can be rewritten by combining like terms such as:
[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]
On a 30 question test, Janice answered four-fifths of the questions correctly-
Which of the following is the number of questions she answered correctly?
A.26
B.24
C.38
D.25
PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST
Answer:
m=-5
Step-by-step explanation:
Find the length of the missing side.
Answer:
5
Step-by-step explanation:
12x12-13x13=b2
144-169=b2
25
[tex]\sq\sqrt25\\[/tex]=5
what is negative 56 divided by -7
Historically, only 35% of applicants for a statistical programming internship at a large pharmaceutical company have previous experience with the necessary software. Assume that applicants are selected at random and interviewed sequentially. What is the probability it takes exactly four interviews to find the first applicant with previous experience
The probability that takes exactly four interviews to find the first applicant with previous experience will be 0.3845.
What is binomial distribution?Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as
[tex]\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}[/tex]
At a big pharmaceutical company, historically, just 35% of applicants for an internship in statistical programming had prior computer software experience. Assume that candidates are chosen at random and questioned one at a time.
p = 0.35
Then the probability is given as,
P = ⁴C₁ x (0.35)¹ x (1 - 0.35)³
P = 0.3845
The probability that takes exactly four interviews to find the first applicant with previous experience will be 0.3845.
More about the binomial distribution link is given below.
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I need this ASAP HELP
Answer:
Srry I can't help
Step-by-step explanation:
i cant reallly see so yh
Step-by-step explanation:
HELP ME PLEASE!!!! DUE TODAY!
Answer:
it is b
Step-by-step explanation:
what is 1000×80,000 in stuck on this
Answer:
80,000,000
Step-by-step explanation:
Write the mixed number as an improper fraction.
23/4 =
Answer:
Improper fraction: 23/4
Mixed number: 5 3/4
Answer:
5 3/4
Step-by-step explanation:
how many times does 4 go into 23? well 4×5=20, which seems like too little, so we'll try 4×6=24,
but that's too much so were sticking with the 5. So 5 is the first number
then since 4 times 5 is 20. but you have 23, there are 3 extra numbers
So you make them into a fraction: 3/4
So the answer is 5 3/4
also 23/4 is the improper fraction, 5 3/4 is the mixed number
Mr. Brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. He has drawn a sketch on a coordinate grid.
He has the lower vertices of the sign at (9,-3) and (-6, -3). Where would the upper vertices be on the grid?
Answer:
(9,2) and (-6,2).
Step-by-step explanation:
Rectangular Coordinates
The lower vertices of a rectangular welcome sign in Mr. Brettler's gym are (9,-3) and (-6,-3).
Note these two vertices are 3 units below the x-axis. We know the sign is 5-foot tall, so the y-coordinates of the two upper vertices should be -3+5=2.
The upper vertices of the sign on the grid are (9,2) and (-6,2).
What is the approximate area of the shaded sector in the circle shown below? 145°
A. 34.6 in2
B. 4.68 in 2
C. 17.3 in2
D. 9.36 in2
Answer: 17.3 in 2
Step-by-step explanation
The approximate area of the shaded sector is 34.6 in2.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
We are given that;
Angle = 145°
Now,
The area of a sector of a circle is given by the formula A = (θ/360)πr2, where θ is the central angle in degrees and r is the radius of the circle. In this case, θ = 145° and r = 7 in.
Plugging these values into the formula, we get: A = (145/360)π(7)^2. Simplifying, we get: A = 0.4028π(49). Using a calculator, we get: A ≈ 34.6 in2.
Therefore, by the area the answer will be 34.6 in2.
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