Answers
Answer:
=1
Step-by-step explanation:
log3(x+2)-log3(x)=1
Subtraction sign means you can divide the values inside the parintheses
log3(x+2/x)=1
split up the fraction into x/x and 2/x; x/x = 1
log3(1+(2/x))=1
Change of base - three to the first power = value in parintheses
3to1st=1+(2/x)
subtract 1 from both sides
2=2/x
divide both sides by 2
x=1
;)
Related Questions
A sum of $104 is divided among three friends Adam, Charlie and Max in the ratio
3:4:6. How much more money does Max have than Adam?
Answers
Answer:
$ 24
Step-by-step explanation:
Ratio = 3 : 4 : 6
Amount with Adam = 3x
Amount with Charlie = 4x
Amount with Max = 6x
Total amount = $104
3x + 4 x + 6x = 104
13x = 104
x = 104/13
x = 8
Amount with Max = 6x = 6*8 = $ 48
Amount with Adam = 3x = 3 *8 = $ 24
Amount that is more with Max than Adam = 48 - 24 = $ 24
A sum of $104 is divided among three friends Adam, Charlie and Max in the ratio 3 : 4 : 6. How much more money does Max have than Adam ?
Solution:-Ratio = 3 : 4 : 6 (Given)
[tex] \bullet [/tex] Let the sum of Adam be 3x
[tex] \bullet [/tex] Let the sum of Charlie be 4x
[tex] \bullet [/tex] Let the sum of Max be 6x
[tex] \therefore [/tex] Total sum = $104 (Given)
So,
ATQ ,
3x + 4x + 6x = 104
13x = 104
x = [tex] \bf \frac{104}{13} [/tex]
x = 8Now, total sum of Adam = 3x = 3 × 8 = $24
Total sum of Max = 6x = 6 × 8 = $48
Required money Max have more than Adam = (48 - 24) = $24
$24 money does Max have more than Adam. [Answer]Taylor has a set of 13 cards, labeled 1 through 13. If she chooses a card at random, what is the probability that the number on it is a prime number?
Answers
Answer:
B. 6/13
Step-by-step explanation:
No of sample space, n(s) = 13
Prime numbers
= ( 2 , 3 , 5 , 7 , 11, 13 )
No of favourable cases, n (e) = 6
Now
Probability that the number on it is a prime number is
P(E) = n(e) / n(s)
= 6/13
Hope it will help :)❤
Please help!
Thank you ☺️
Answers
Answer:
I think it's,1,7,7 that will not make a triangle
hope this help
How many odd numbers are in 10 to 50?
Answers
Answer:
20
Step-by-step explanation:
11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49
Read the details Stefan has gathered about solar eclipses. Based on the information Stefan has gathered, which essential question did he ask? When does it occur? A solar eclipse occurs as a result of the moon lining up perfectly between the Earth and the Sun, blocking the Sun from Earth. O What is it? O Where is it located? Why does it happen
HURRY WORTH 30 POINTS
Answers
Answer:
c
Step-by-step explanation:
Where is it located?
Answer:
D
Step-by-step explanation:
Find the surface area of the square pyramid:
Answers
Here's the solution,
Area of Square pyramid = Areas of triangles + Area of square base
and we know, the triangles have equal base and same height, so their areas will be equal
Area of each triangle :
=》
[tex] \dfrac{1}{2} \times 9 \times 7[/tex]
=》
[tex] \dfrac{63}{2} [/tex]
=》
[tex]31.5[/tex]
So, are of triangle = 31.5 ft²
since, there are four triangles ,
Area = 31.5 × 4
=》126 ft²
Area of square base = 9 × 9 = 81 ft²
Hence, Area of pyramid = 81 ft² + 126 ft²
=》207 ft²
What is the measure of m?
Answers
m=6
this is because m=n=6 since the triangle is an equilateral triangle
hope it helps:)))
Answer:
m=6 hope this helps. byer
todd can ride 45 miles in 5 hours. write an equation to find m, the number of miles Todd can ride in h hours
Answers
Find sin 0
15
A.
B.
c. 15
D.
Answers
2.6x + 10.5 = 31.3
I need help ASPAP!!
Answers
the answer is on the picture
Answer: x=8
Step-by-step explanation: Hope this help :D
Really stumped on these 2 problems anybody know anything? "Find the circumference of each circle. Round to the nearest tenth. Use 3.14 or 22/7 for π"
Answers
Answer:
1. 15.7 in
2. 153.9 cm
Step-by-step explanation:
The circumference of a circle is found by the formula:
C = 2 * pi * r, where r represents the radius.
For the first circle, we substitute in 3.14 for pi and the given radius:
C = 2 * 3.14 * 2.5
C = 15.7 in
However, for the second circle, the diameter is given instead of the radius.
As the radius is just half of the diameter, we can find that it is 24.5 cm.
Substituting the values in, we get:
C = 2 * 3.14 * 24.5
C = 153.86 cm
Rounding to the nearest tenth gives us:
153.9 cm
Make sure to use the correct units for each question.
⚠️PLEASEEEEE HELPPPPPP !!!
Answers
Answer:
38
Step-by-step explanation:
I'm pretty sure its just the same
Review graph I and graph II.
On a coordinate plane, a parabola labeled Graph 2 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0).
On a coordinate plane, a parabola labeled Graph 1 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0). An open circle is at (negative 4, 8).
Which statement compares the limit as x approaches –4 for the two graphs?
In both graph I and graph II, the limit is 5.
In both graph I and graph II, the limit does not exist.
In graph I, the limit does not exist, but in graph II, the limit is 5.
In graph I, the limit is 8, but in graph II, the limit does not exist.
Answers
Answer:
A - in both graph I and graph II, the limit is 5
Step-by-step explanation:
:)
Answer:
A - in both graph I and graph II, the limit is 5
Step-by-step explanation:
the guy above me lol
Factor out the GCF of the three terms, then complete the factorization of x4 + 7x + 10x^2
Answers
GUYS I NEED UR HELP FOR A MATH PROBLEMS! PLEASE HELP ME! LOOK AT THE PIC AND PLEASE HELP IF U CAN!
Answers
Answer:
4.Answer. -2 or 1. By using cross multiplication..Like this.
A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis.
Required:
a. What is the appropriate test?
b. State the null hypothesis.
c. State the alternative hypothesis.
d. Find the critical value.
e. Calculate the obtained statistic.
Answers
Answer:
1.) One sample t test
2.) New steroid does not decrease blood glucose level in rats ; H0 : μ = 31
3.) New steroid does blood glucose level in rats ; H1 : μ ≠ 31
4.) 2.718
5.) 3.36
Step-by-step explanation:
We only have one sample; hence, we use an independent sample t test.
Given the sample data :
X : 35,36,37,33,34,35,33,35,37,36,34,35
Using calculator;
Sample mean, Xbar = 35
Null hypothesis ;supports that the mean glucose level of species equals ; H0 : μ = 31
The alternative hypothesis ; H1 negates the null hypothesis and aligns with the sample mean ; 35 > 31 ;
H1 : μ > 31
The critical value can be obtained from the T-distribution table ;
α = 0.01 ; degree of freedom, df = n - 1 = 12 - 1 = 11
Tcritical value = 2.718
Tstatistic : (xbar - μ) ÷ (s/√n)
Tstatistic = (35 - 31) ÷ (4.12/√12)
Tstatistic = 3.36
Tstatistic is more extreme Than the critical value
Multiple regression is sometimes used in litigation. In the case of Cargill, Inc. v. Hardin, the prosecution charged that the cash price of wheat was manipulated in violation of the Commodity Exchange Act. In a statistical study conducted for this case, a multiple regression model was developed to predict the price of wheat using three supply-and-demand explanatory variables.Data for 14 years were used to construct the regression equation, and a prediction for the suspect period was computed from this equation. The value of R2was 0.989.
(a) The fitted model gave the predicted value $2.136 with standard error $0.013. Express the prediction as an interval. (The degrees of freedom were large for this analysis, so use 100 as the df to determine t*.)
(b) The actual price for the period in question was $2.13. The judge decided that the analysis provided evidence that the price was not artificially depressed, and the opinion was sustained by the court of appeals. Write a short summary of the results of the analysis that relate to the decision and explain why you agree or disagree with it.
Answers
Answer:
($2.123 ; $2.149)
Step-by-step explanation:
The prediction interval is expressed as :
Predicted value ± standard Error
Predicted value = $2.136
Standard Error = $0.013
Prediction interval :
Lower boundary = $2.136 - $0.013 = $2.123
Upper boundary = $2.136 + $0.013 = $2.149
($2.123 ; $2.149)
B.) The prediction interval provides a range for which the predicted value or price should fall Given a certain degree of probability. If the true value falls within this interval, then, our prediction would be deemed to have occurred not by chance.
Since the actual price within the predicted price interval, then I agree with the judge's Decison that the price was not artificially depressed.
3/10 of the beads in a jar are red, the rest are blue if there are 500 more blue beads than red, how many beads are together?
Answers
Answer:
1250 beads together.
Step-by-step explanation:
Blue beads = 7/10
If 500 more beads are blue, then 4/10 is 500.
To find how many beads there are altogether, we need to find 10 parts.
(10/4) x 500 = 1250 beads
PLS AWNSER ILL GIVE BRAILIEST
Answers
Answer:
B
Step-by-step explanation:
Answer:
Its A ,
Step-by-step explanation: Done maht
A support wire is being attached to a telephone pole as shown in the
diagram. To the nearest foot, how long does the wire need to be?
Answers
the answer is 4.565 JF$OFB#$UF
I need the answer real fast PLZ
Answers
Answer:
54%
Step-by-step explanation:
I did the test.
help me asap please help me help thank you
Answers
Answer:
H
Step-by-step explanation:
Area of a square is given as 16 unit²
Since formula of square is
A=l²
16=l²
l=√16
=4
Which of the following rational numbers can be multiplied by two and result in a number greater than two?
A: 5/6 B:8/9 C:9/8 D: 11/12
Answers
Ms. Phillips ordered 56 pizzas for a school fundraiser. Of the pizzas ordered, 2/7 of them were pepperoni, 19 were cheese, and the rest were veggie pizzas. What fraction of the pizzas was veggie?
Answers
Answer:
5 / 28
Explanation:
Total number of Pizza's ordered = 56
Pepperoni = 27
Cheese = 19
The remainder were Veggie ;
Fraction of pizza that were. Veggie
Number of pizza's that were Veggie :
56 - (27 + 19)
56 - 46
= 10
Fraction of Veggie pizza :
Number of Veggie pizza / total number of Pizza's
10 / 56
= 5 / 28
If you have 440 red and blue buttons predict how many would be red.
Answers
Answer:
maybe 220/440?
Step-by-step explanation:
Answer mark me branlyist
Step-by-step explanation:
Math Question: What value does the 2 represent in the number 52.3?
Answers
Answer:
The ones place
Step-by-step explanation:
Find the volume of a cone that has radius = 2 1/2 and height = 5.
98.1
26.2.
32.7
65.4
Answers
Answer:
98.1 is your anwser I know this kinds of stuff
Step-by-step explanation:
v=22/7×r^2×h/3
=22/7×21/2×5/3
=33/5
=11cm^3
The Diagram below shows rectangle PLUM find the area of PLUM if entering answer as a decimal, round your final answer to the nearest hundredth. Please Help!
Answers
Answer:
75 Units
Step-by-step explanation:
i got this on khan :)
HELP ME PLEASEEEEEEEEE
Answers
Answer:
1.7 pounds
Step-by-step explanation:
7.9 - 6.2= 1.7
(-2,,-4) and -11,-7) the slope is what
Answers
Answer:
I arrived at 1.5 following the formula