Answers
9514 1404 393
Answer:
x ≈ -0.5416
Step-by-step explanation:
As with any "solve for ..." problem, you essentially want to "undo" what has been done to the variable of interest. Here, if you were to evaluate the left-side expression (where the variable is) for some value of x, you would ...
multiply by 10add 7raise 9 to that powermultiply by 2add 5You want to "undo" these operations in reverse order. That is, you work from the bottom of this list toward the top, using inverse operations along the way.
The inverse of addition is subtraction; the inverse of multiplication is division. The inverse of raising to a power is taking a logarithm.
undo add 5
[tex]2\cdot9^{10x+7}+5-5=70-5\\2\cdot9^{10x+7}=65[/tex]
undo multiply by 2
[tex]\cfrac{2\cdot9^{10x+7}}{2}=\dfrac{65}{2}\\\\9^{10x+7}=32.5[/tex]
undo raise to a power (take logarithms)
[tex](10x+7)\log(9)=\log(32.5)\\\\10x+7=\dfrac{\log(32.5)}{\log(9)}\quad\text{equivalent to $\log_9(32.5)$}[/tex]
undo add 7
[tex]10x+7-7=\dfrac{\log(32.5)}{\log(9)}-7\\\\10x\approx -5.41562[/tex]
undo multiply by 10
[tex]\dfrac{10x}{10}\approx\dfrac{-5.41562}{10}\\\\x\approx-0.541562\\\\\boxed{x\approx-0.5416}\quad\text{rounded to 4 dp}[/tex]
Answer:
x=0.5416...................
Related Questions
Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level.
GPA-Night GPA-Day 3.15 3.47 3.68 3.49 3.34 3.07 3.07 3.31 3.31 3.28 3.2 3.05 3.07 3.12 2.8 3.5 3.04 3.04 3.13 3.19 3.54 3.26 3.24 3.31 3.02 3.45 3.44 2.9 2.79 2.76 3.18 2.69 2.99 3.46 3.28 3.09 3.16 2.72 3.08 3.14 2.47 3.08 3.03 2.99 3.02 3.11 2.58 2.84 3.36 2.99 3.04 2.99
(1) The null and alternative hypothesis would be:
a.H0:μN≥μD
H1:μN>μD.
b.H0:μN=μD
H1:μN≠μD.
c.H0:pN≥pD
H1:pN
d.H0:pN=pD
H1:pN≠pD.
e.H0:μN≤μD
H1:μN<μD
f.H0:pN≤pD
H1:pN>pD.
(2) The test is:_______.
a. right-tailed.
b. two-tailed.
c. left-tailed.
(3) The sample consisted of 70 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.08, and 70 day students, with a sample mean GPA of 2.08 and a standard deviation of 0.02
Answers
Answer:
Step-by-step explanation:
Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level.
GPA-Night GPA-Day 3.15 3.47 3.68 3.49 3.34 3.07 3.07 3.31 3.31 3.28 3.2 3.05 3.07 3.12 2.8 3.5 3.04 3.04 3.13 3.19 3.54 3.26 3.24 3.31 3.02 3.45 3.44 2.9 2.79 2.76 3.18 2.69 2.99 3.46 3.28 3.09 3.16 2.72 3.08 3.14 2.47 3.08 3.03 2.99 3.02 3.11 2.58 2.84 3.36 2.99 3.04 2.99
(1) The null and alternative hypothesis would be:
a.H0:μN≥μD
H1:μN>μD.
b.H0:μN=μD
H1:μN≠μD.
c.H0:pN≥pD
H1:pN d.H0:pN=pD
H1:pN≠pD.
e.H0:μN≤μD
H1:μN<μD
f.H0:pN≤pD
H1:pN>pD.
(2) The test is:_______.
a. right-tailed.
b. two-tailed.
c. left-tailed.
(3) The sample consisted of 70 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.08, and 70 day students, with a sample mean GPA of 2.08 and a standard deviation of 0.02
What are the values of the function when x=0 and when x=4?
Answers
Answer:
0 and h4
Step-by-step explanation:
Value of function when x=0 is 10 and at x=4 is 16.
What are the values of the function?The value of a function, given the value(s) allocated to its argument(s), exists as the quantity assumed by the function for these statement values.
Function value may direct to: In mathematics, the value of a function when involved in an argument.
Analyzing the piece wise function
when x is between 0(including) and 4(excluding), the function behaves as:
[tex]h(x)=2x^{2} -3x+10[/tex]
put x=0:
[tex]h(0)=2(0)^{2} -3(0)+10=10[/tex]
when x greater than equal to 4, the function behaves as:
[tex]h(x)=2^{x}[/tex]
put x=4:
[tex]h(4)=2^{4} =16[/tex]
Therefore, values are 10 and 16 respectively.
To learn more about values of the function refer to:
https://brainly.com/question/12507191
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For each geometric sequence, write a recursive rupe by finding the common ratio by calculating the ratio of consecutive terms. Write an explicit rule for the sequence by writing each term as the product of the first term and a power of the common ratio.
Answers
Answer:
3
Step-by-step explanation:
can someone help find me? i need to answer!!!!
Answers
Which is a true statement about angles 1 and 2? O the two angles are supplementary
the two angles are complementary
the two angles are neither complementary nor supplementary
the two angles are vertical angles
Answers
Thank you hope this helps
felixs total credit card balance is described by the following function f(p)=p(1.30). if felix owes 2500, what is the total bill plus interest
Answers
Given:
Felix's total credit card balance is described by the following function
[tex]f(p)=p(1.30)[/tex]
To find:
The total bill plus interest if Felix owes 2500.
Solution:
We have,
[tex]f(p)=p(1.30)[/tex]
Where [tex]p[/tex] is the amount Felix owes.
Putting [tex]p=2500[/tex] in the given function, we get
[tex]f(2500)=2500(1.30)[/tex]
[tex]f(2500)=3250[/tex]
Therefore, the total bill plus interest is 3250.
10
TIME REMAINING
50:51
What are the solutions of x squared + 6 x minus 6 = 10?
Answers
Answer:
X = -8 and X = 2
Step-by-step explanation:
X^2 + 6X - 6 = 10
Bring the 10 over:
X^2 + 6x - 16 = 0
From here, either use the quadratic formula or
manual factorization by finding its roots:
Manually:
(X + 8)(X - 2) = 0
Equate each factor to 0 you will get:
X + 8 = 0 and X - 2 = 0
Solutions are -8 and 2 respectively.
Solve for x using cross multiplication 3x - 3 5 = 2x – 2 4 x = [?]
Answers
Answer:
x = -35/22, or 1.5909090...
Step-by-step explanation:
Solving for x will be easy enough, but cross multiplication won't be necessary as that's only applicable when division is involved:
35 = 2x - 24x
35 = -22x
x = -35/22, or 1.5909090...
Choose two statements that are true for this expression.
6x^3-8x^2-40/y+21
A. The entire expression
B. There are three terms
C. There are four terms
D. The term -40/y is a ratio
Answers
Answer:
C and D
Step-by-step explanation:
A P E X verified
In a baseball card collection, 40% of the cards are worth more than $100. If 12 cards in the collection are worth more than $100, how many total baseball cards are in the collection?
Answers
Answer:
30
Step-by-step explanation:
Total number of cards = number of cards worth more than 100 divided by the rate of those cards among total cards = 12/40% = 30
Alex went to the grocery store and bought 1 pound of oranges, 0.75 pounds of bananas, and 1.255 pounds of apples. How much did all of his produce weigh?
Answers
Solontendras qie dividir 075 liego 1255 y tines que saber cuento. Pesa una libra
SOME ONE HELP PLEASE
Answers
Answer:
1 23/32
Step-by-step explanation:
hi, dont sweat it! i gotchu.
What is the area of a rectangle that is 6 inches long by 1/12 inch wide?
Answers
A = (6)(1/12)
A = 1/2
Dima’s mom went to the bakery and bought 18 donuts. 1/2 of the donuts were chocolate. Dima‛s family ate 1/3 of the chocolate donuts but didn‛t eat any other kind. What fraction of the donuts did they eat?
Answers
Answer:
They ate 1/6 of the donuts
Step-by-step explanation:
They bought 18 donuts. 1/2 of 18 is 9. 1/3 of 9 is 3. To find the fraction, divide 3 by 18. Simplify the fraction. You are left with 1/6.
How many integers satisfy each inequality?
-102
Answers
Answer:At integers -2 and -3 the value of the equation is zero, hence satisfies the inequality. So overall 4 integers satisfy the inequality.
i got 1 2 3 4 5 6 7 8 ems in my bank account
Step-by-step explanation:
work out m and c for the line y= 2x+1
Answers
Answer:
m = 2, c = 1
Explanation: In the y = mx + b (or y = mx + c) format, the m is the slope of the line and the c/b is the y-intercept, or where the line crosses the y-axis. If we substitute the information from the given equation, y = 2x + 1, into the general formula, we know that the m is 2 and c is 1.
the percent change from 50 to 43
Answers
Answer:
its not 7% btw
Step-by-step explanation:
The table below shows the favorite color of all the students at Wolff Elementary school.
Answers
Answer:
Pretty shure its the one at the bottom (C)
Step-by-step explanation:
the other ones have very limited amount of people they can show on the graph, so it makes sience to pick the biggest one because it will fluxuate.
(basically its C, also not always right )
What was the temperature in the city with an elevation of -9?
Answers
Answer:
7(u will trace the _9 in x axis to y axis where the blue dot is the value there will be our answer and that is 7)
help .........thanks
Answers
b= -5
a= -4
-5+4(-4)=
-5-16= -21
2.) xz-z
x= -2
z= -5
(-2)•(-5) -(-5)=
10+5=15
For what value of m is the expression x4+mx2+64 a perfect square?
Answers
Answer:
x^4 + 1/4 x^2 + 1/64 is a perfect square. 16x^4 + 4x^2 + 1/4 is a perfect square. (4x^2 + 1/2)^2. So you must add -3/4
Step-by-step explanation:
The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.
What is a perfect square trinomial?A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.
The equation is given below.
⇒ x⁴ + mx² + 64
Then the value of a, b, and c will be 1, m, and 64, respectively. Then the equation will be given as,
b² = 4ac
m² = 4 x 1 x 64
m² = 265
m² = 16²
m = 16
The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.
More about the perfect square trinomial link is given below.
https://brainly.com/question/16615974
#SPJ2
Three boards are placed end to end to make a walkway. The first board is 2 feet 6 inches long, the second board is 3 feet 2 inches long, and the third board is 5
eet 7 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.
Answers
Step-by-step explanation:
TALA RHYTHMIC PATTERNS
ACTIVITY 2: LET'S DO TALA
kind of membranophones/percussion instruments found at home for tapping. Record your
Directions: Perform the following tala rhythmic patterns using the given legend. Use any
performance using any recorder and send it to your
INSTRUMENTS AT HOME
MANJIRA
TIN CANS
1 2 3 4 5 6
х
1 2 3 4 5 6 7 8 9 10 11 12
GHATAM
PAL
X
х
0 X
TABLA
1 2 3 4 5 6 7 8 9 10
BOX
x xox
Answer:
11 feet 3 inchesStep-by-step explanation:
1 feet = 12 inches
Add up the lengths:
2 ft 6 in + 3 ft 2 in +5 ft 7 in-------------------
10 ft 15 in = 10 ft + 12 in + 3 in = 10 ft + 1 ft + 3 in = 11 ft 3 inIf the graph of the second equation in the system passes through the points (-12, 20) and
(4, 12), which statement is true?
Answers
answer: the system had no solution
Helpheheehhedhhdhdhuahdhdh
Answers
Answer:
2.9
Step-by-step explanation:
.05 rounds up.
2.9
3.15 rounded to tenth would be 3.2
Now 2.859 would be 2.9
The solution is C
HELP PLSSSSSSSSSSSSS Carin is going to paint walls of her room green. The green paint is too dark so she mixes it with white paint. She tries different mixtures. Which of the following will give the darkest green color?
A. 1 part green + 3 parts white
B. 2 parts green + 6 parts white
C. 3 parts green + 9 parts white
D. 4 parts green + 12 parts white
E. They will all be equally dark.
Answers
??????????????????????????
Answers
Answer
I believe it is 1/12
Step-by-step explanation:
as it is 24 ft tall, and then the model is 2 ft tall
22 ft is subtracted
so basically for every 12 ft one is added to the model
so 1/12 should be the ans
I will give out 40 points for the four answers but if you just take the points and don't answer properly I will report you
Answers
Answer:
A:-3<x<13
B:-3=<x=<13
C:-3=<x<13
D:-3<x=<13
Step-by-step explanation:
Ok, first lets do A
-3 and -13 and the endpoints and the dots are hollow so its not including
therefore the answer is -3<x<13
next, B
same endpoint this time but both dots are filled in so they are included
therefore: -3=<x=<13
(I'm typing on a keyboard!!! i can't do the fancy symbols lol)
C
same endpoints again but -3 is black and 13 is not
so: -3=<x<13
D
I think you have got the hang of it now probaly
-3 is not filled and 13 is
answer is -3<x=<13
Hope this helps :)
Can someone help me? I'll reward points + brainalist
Answers
The answer for the following question is 12
as
Circumference of the circle = 2TTr
= 2 x 22/7 x 12
= 44 / 7 x 12
= 75.4285714286
SOMEONE PLEASE HELP IM STUCK AND ITS MY LAST QUESTION
Answers
Answer:
Theta=60
Step-by-step explanation:
Lets start to get the value of x in [tex]sin(x)=\frac{1}{2}[/tex]
Just do the opposite which is [tex]sin^{-1}(\frac{1}{2}) = 30[/tex]
So [tex]sin(30)=\frac{1}{2}[/tex]
Still we got only the value of x not theta then
The value of x = theta/2
Theta/2=30 multiply each side by 2
Theta = 60
Which of the following statements are true? (Select all that apply)
Correlation coefficients are negative when the relationship is weak and positive when they are strong.
Correlation coefficients show the relationship of the x and y values.
Correlation coefficients can be any value less than 1 or greater than −1.
Correlation coefficients show the x and y intercepts of the best fit line.
Correlation coefficients can be represented by the variable r.
Answers
Answer:
a and c I'm 99percent shure