Answers
[tex] {36}^{2x + 5} = {216}^{x - 1} [/tex]
[tex] {6}^{2(2x + 5)} = {6}^{3(x - 1)} [/tex]
[tex] {6}^{(4x + 10)} = {6}^{(3x - 3)} [/tex]
Since bases i.e 6 are same exponents are equal
4x+10= 3x-3
4x-3x = -3-10
x= -13
Answer:
x = -13
Step-by-step explanation:
36 = 6^2
216 = 6^3
36^(2x + 5) = 6^(2)^(2x + 5)
When taking an exponent to an exponet: multiply the exponents
36^(2x + 5) = 6^(4x + 10)
216^(x - 1) = 6^(3)^(x - 1)
When taking an exponent to an exponet: multiply the exponents
216^(x - 1) = 6^(3x - 3)
-----------------------------
Therefor
6^(4x + 10) = 6^(3x - 3)
Since the bases are the same the exponents are equal
4x + 10 = 3x - 3
Subtract 3x from both sides
x + 10 = -3
subtract 10 from both sides
x = -13
Related Questions
5. The Jones family orders four pizzas to eat. Each pizza is sliced into four parts. How many pizza slices do they get in total?
Answers
Answer:
16 slices
Step-by-step explanation:
Given :
Number of pizzas ordered = 4
Number of slices per pizza = 4
If 4 pizzas are each sliced into 4 parts ; the we have :
Pizza 1 = 4 slices
Pizza 2 = 4 slices
Pizza 3 = 4 slices
Pizza 4 = 4 slices
Total slices = (4 +4 +4 +4) = 16 slices
the result of subtraction of 3x from -4x is
Answers
Answer:
-x
Step-by-step explanation:
3x-4x= -x
The answer is minus x
hopes it helps
Answer:
-1x
Step-by-step explanation:
3x from &4x
= -4x-3x (minus minus =plus)
= 1x
convert 0.13 into a fraction
Answers
If a(x) = 3x + 1 and (x)= x-4, what is the domain of (boa)(x)?
Answers
Answer:
[tex](b\circ a)(x)=3x-3[/tex] ; the domain is all real numbers
Step-by-step explanation:
[tex]a(x) = 3x+1[/tex]
[tex]b(x)=x-4[/tex]
[tex](b\circ a)(x)=b(a(x))=b(3x+1)=(3x+1)-4=3x+1-4=3x-3[/tex]
Therefore, the domain of the composite function is all real numbers.
If PQ = 4i+3j+2k, find /PQ/
Answers
Answer:
| PQ | = [tex]\sqrt{29}[/tex]
Step-by-step explanation:
Given
PQ = ai + bj + ck , then
| PQ | = [tex]\sqrt{a^2+b^2+c^2}[/tex]
Here PQ = 4i + 3j + 2k , then
| PQ | = [tex]\sqrt{4^2+3^2+2^2}[/tex] = [tex]\sqrt{16+9+4}[/tex] = [tex]\sqrt{29}[/tex]
The ratio of boys to girls in Mr. Johnsons after school club is the same as the ratio is the same to the ratio of boys to girls in Mr. Greene's after school club. There are 4 boys and 12 girls in Mr. Johnsons club. There are 6 boys in Mr. Greene's club. How many girls are in Ms. Greene's club?
Answers
Answer:
18 GIRLS
Step-by-step explanation:
1. Lets write a fraction (4 boys/12 girls)
[tex]\frac{4 \\boys}{12 \\ \\girls}[/tex]
2. Now lets plug the value in
[tex]\frac{6 \\boys}{x girls}[/tex]
3. In the original equation, the amount of girls is 3 times the amount of boys
4. multiply 6 and 3 = 18
5. 18 girls
Answer:
18 <3
Step-by-step explanation:
Please answer these questions:
solve and simplify:
2/5 divided by 7/8
solve and simplify:
3/4 divided by 6/5
solve and simplify:
3/5 divided by 7/8
solve and simplify:
3/4 divided by 5/6
Answers
Answer
1• 2/5÷7/8
if there is a division sign in between two fractions what u have to do is multiply and, the fraction at the right need to change
=2/5×8/7
=16/35
=0•457
2• 3/4÷6/5
=3/4×5/618/24=0.753• 3/5÷7/8
=3/5×8/7
=24/35
=0•6857
4• 3/4÷5/6
=3/4×6/5
=18/20
=0•9
What is the coordinate point of letter F
Answers
Explanation: When finding the coordinates of a point, first look at its position on the X axis (horizontal axis). The point F lies on the “-6” marking on this axis. Now, look at the point’s position on the Y axis (vertical axis). Point F lies on the “-1” marking on the Y axis. Now that you have both X and Y values of the point, you can write it in the final format: (X, Y) ——> (-6, -1)
Hope that helps シ
Round the decimal to the nearest hundreth. If decimal cannot be rounded, state this.
194.59
Answers
The decimal cannot be rounded. It is already rounded to the nearest hundredth.
Each graph shown represents a transformation of a parent radical function. Which graphs represent functions with an odd index?
Answers
Answer:
Graphs W and Z
Step-by-step explanation:
Graph of a radical function with even index appears only on one side of the x-axis, while graph of the radical function with odd index appears on both the sides of the x-axis.
Index of the given graphs,
Graph W → Odd index
Graph X → Even index
Graph Y → Even index
Graph W → Odd index
Therefore, graphs W and Z show the radical functions with odd index.
Answer:
The answer is W and Z, I don't know why people rated it badly. I just took the practice and got it correct.
Step-by-step explanation:
Out of 350 applicants for a job, 158 are female and 66 are female and have a graduate degree. Step 2 of 2 : If 110 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is female, given that the applicant has a graduate degree
Answers
Answer:
33/55
Step-by-step explanation:
Total applicants, n(T) = 350
Female applicants, n(F) = 158
Female and Graduate applicants, n(FnG) = 66
Graduates, n(G) = 110
Probability of female Given that applicant has graduate degree; this is a conditional probability problem;
Recall :
P(A given B) = P(A|B) = P(AnB) / P(B)
Therefore ;
P(F|G) = P(FnG) / P(G) = 66 / 110 = 33/55
12.
What is the
equation of a circle with center (-7, -3) and radius 2?
Answers
Answer:
(x + 7)^2 + (y + 3)^2 = 4
Step-by-step explanation:
The standard equation of a circle is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius. We can substitute the information given to obtain:
(x + 7)^2 + (y + 3)^2 = 4
When the mean value of the dependent variable is independent of variation in the independent variable, the slope of the regression line is:________
Answers
Answer:
zero
Step-by-step explanation:
The optimally fitted straight line via the locations and points on a graph is determined via linear regression. You may use regression equations to see if your data can indeed be fitted into a formula. If you want to create assumptions from your data, either future forecasts or indicators of previous behavior, using the Regression equation is highly beneficial.
The regression line is expressed as:
[tex]Y_i = a +bx_i[/tex]
where;
[tex]Y_i[/tex] = dependent variable
a = intercept
b = slope
[tex]x_i[/tex] = independent variable
So, when [tex]Y_i[/tex] is independent of the variation of [tex]x_i[/tex], it means that [tex]Y_i[/tex] does not linearly depend on [tex]x_i[/tex] . Thus, the slope of the regression will be zero.
solve the equation
x + -18 = 3x + 54
Answers
Answer:
-36
Step-by-step explanation:
See image below:)
Answer:
x = -36
Step-by-step explanation:
subtract 'x' from each side to get:
-18 = 2x + 54
subtract 54 from each side to get:
-72 = 2x
x = -72/2
x = -36
explain whether 8t - 3y - 4t is equivalent to 7t +(-3t) - 3y.
Answers
Answer:
4t - 3y
Step-by-step explanation:
8t - 3y - 4t
8t - 4t - 3y
4t - 3y
7t +(-3t) - 3y
7t - 3t - 3y
4t - 3y
Answer:
These expressions are equivalent, as both of them simplify down to (4t - 3y).
Step-by-step explanation:
In order to determine if (8t - 3y - 4t) is equivalent to (7t + (-3t) - 3y) one must simplify each equation. Combine like terms by performing the operations between the coefficients of the variables.
8t - 3y - 4t
= 4t - 3y
7t + (-3t) - 3y
= 7t - 3t - 3y
= 4t - 3y
What is the value of log
?
1/100
Answers
I hope this is gelpful for u
Find the ratio of A to B if A= 51,786 and B= 17,475
Answers
Answer:
[tex]\frac{17262}{5825}[/tex]
Step-by-step explanation:
A ratio is another way of expressing a fractional value. One can express a ratio as a fraction. This problem asks one to find the ratio of (A) to (B). Set this up as a fraction, then substitute the given values in and simplify,
[tex]\frac{A}{B}[/tex]
The following information is given.
[tex]A=51786\\B=17475[/tex]
Substitute these values into the problem,
[tex]=\frac{51786}{17475}[/tex]
Both numbers are divisible by (3), thus reduce the ratio,
[tex]=\frac{17262}{5825}[/tex]
Since they have no other factors in common, the final answer is the following,
[tex]=\frac{17262}{5825}[/tex]
find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
17
Answer: The missing angle is 32 degrees.
Step-by-step explanation: All the degrees in a triangle sum up to 180 degrees. Add the two known angles and subtract the sum from 180
Hope this helps! :)
Complete the remainder of the
table for the given function rule
Answers
Answer:
y = 3
y = 2
y = 1
y = 0
Step-by-step explanation:
Given expression;
y = (-x/3) + 2
Find:
Value of y, if x = -3Value of y, if x = 0Value of y, if x = 3Value of y, if x = 6Computation:
Value of y, if x = -3
y = (-x/3) + 2
y = (3/3) + 2
y = 3
Value of y, if x = 0
y = (-x/3) + 2
y = (-0/3) + 2
y = 2
Value of y, if x = 3
y = (-x/3) + 2
y = (-3/3) + 2
y = 1
Value of y, if x = 6
y = (-x/3) + 2
y = (-6/3) + 2
y = 0
please help i’ll give brainliest
7.)What is the maximum number of texts received?
8.)All of the following are true except -
A.The range of the data is 190.
B.At least one student received no texts at all.
C.Most of the students received 65 or fewer texts.
D.50% of students received between 65 and 160 text messages.
9.)Which of the following cannot be determined from analyzing the boxplot?
A.
Mean
B.
Median
O.
Minimum D.
Range
10.) What percent of students receive more than 65 texts in a single day?
Answers
Answer:
7. 190
8. C
9. A
10. ~66% (not sure about this one though)
Step-by-step explanation:
The domain of a function is what?
Answers
The domain is all possible x values, specified for that function.
Can please send answers with step
Answers
Answer:
A. 14 Sq.cm
Step-by-step explanation:
The area of the circle is 56 cm Sq.
Half of it is 28 Sq.cm
If you combine the 2 triangles it will make an area of 7sq.cm
then the Curved shaded part is also 7sq.cm together of the shaded part will create a quarter of the whole figure
So
56/4 Sq.cm
= 14Sq.cm
Thank you!!
Mark me as brainliest :>>>
Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found guilty. In the United States, about 60% of the defendants are found guilty in criminal trials. Suppose you are a news reporter following four criminal trials.
a) If the trials were in Japan, what is the probability that all the defendants would be found guilty? What is the probability if the trials were in the United States?
b) Of the four trials, what is the expected number of guilty verdicts in Japan? What is the expected number in the United States? What is the standard deviation in Japan? What is the standard deviation in the United States?
c) As a U.S. news reporter, what is the smallest number of trials n you would need to cover to be at least 99% sure of two or more convictions? What is the smallest number of trials n you would need if you covered trials in Japan?
Answers
Step-by-step explanation:
Let X be the number of guilty defendants in Japan
Let y be the number in the US
we have n = 4
p = 0.95
a.) prob of trials in Japan
p(x=4)
= 0.95⁴
= 0.8145
prob of trials in US
p(X=4)
= 0.60⁴
= 0.1296
B. expected number in Japan
E(X) = n*p
= 4*0.95
= 3.8
we find the variance
= n*p(1-p)
= 4*0.95(1-0.95)
= 0.19
standard deviation for japan
= √0.19
= 0.4359
expected number for US
E(X) = n*p
= 4*0.60
= 2.4
we find the variance
= n*p(1-p)
= 4*0.60(1-0.6)
= 0.96
standard deviation for US
= √0.96
= 0.979
c. 2*4 = 8
pls i need this one n i pass the class pls pls help me
Answers
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:
x/3 = 7.5/4.5
x = 3(7.5/4.5) . . . . multiply by 3
x = 5
Will choose brainliest! Please help! (This is Khan Academy)
Answers
Answer:
Option B. A = (5/6)^-⅛
Step-by-step explanation:
From the question given above, we obtained:
(5/6)ˣ = A¯⁸ˣ
We can obtain the value of A as follow:
(5/6)ˣ = A¯⁸ˣ
Cancel x from both side
5/6 = A¯⁸
Recall:
M¯ⁿ = 1/Mⁿ
A¯⁸ = 1/A⁸
Thus,
5/6 = 1/A⁸
Cross multiply
5 × A⁸ = 6
Divide both side by 5
A⁸ = 6/5
Take the 8th root of both sides
A = ⁸√(6/5)
Recall
ⁿ√M = M^1/n
Thus,
⁸√(6/5) = (6/5)^⅛
Therefore,
A = (6/5)^⅛
Recall:
(A/B)ⁿ = (B/A)¯ⁿ
(6/5)^⅛ = (5/6)^-⅛
Therefore,
A = (5/6)^-⅛
Find missing number from letter n ! Please
Answers
Answer:
1. n= 20 /13
2. n=10
3. n=35
4. n=9
That's all I could do, I got tired of typing lol
Step-by-step explanation:
1. 4/n=13/5 we cross multiply, (4)*(5)=13*n, 20=13n Flip the equation. 13n=20, divide 13 on both sides, 13n/13=20/13, n= 20 /13
2. 9/6= 15/n, we cross multiply 9*n=(15)*(6), 9n=90, Divide both sides by 9. 9n/9=90/9 n=10
3. 28/4=n/5 Cross-multiply, (28)*(5)=n*(4), 140=4n Flip the equation.4n=140 Divide both sides by 4. 4n/4=140/4 n=35
4. n/6=6/4 we cross multiply,n*(4)=(6)*(6), 4n=36, Divide both sides by 4 4n/4=36/4. n=9
Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8% What percentage of students pass the class with an 86% or better? Enter the value of the percentage without the percent sign.
Answers
Answer:
Z-value is what we called the number of standard deviations from the mean. 62% is 8% one standard deviation to the left, or a Z-value of -1. 94 is 24% to the right of the mean, or 3 standard deviations for a z-value of three. You can look on a Z-table to find the area between -1 and 3, which is .840 or 84%
Step-by-step explanation:
Please mark me as brainlist
A square with sides x ft long has a
perimeter of 343 ft. How long are the
sides of the square?
Answers
The perimeters formula is
4L where L is the length of the side
Now 343 = 4L
343/4=x
So x =85.75
I hope you understand: )
Autumn drew a quadrilateral in which the opposite sides are parallel and also have the same length. What type of quadrilateral could Autumn have drawn?
Answers
Answer:
parallelogram. rectangle,
Step-by-step explanation:
Answer:
A parallelogram.
Step-by-step explanation:
Find the value of x in the figure
Answers
Answer:
x = 100
Step-by-step explanation:
180-57 would equal 123 which means 123 = x +23 and you can simplify this equation by moving 23 over to 123 and subtracting them leaving x = 100
123 = x+ 23
-23 + 123 = x
100 = x
x = 100
sorry, i'm really bad at explaining
180 degree angles when added
180-57 (for known angle)= 123
x+23=123<- we need to take off the all known angles to get x
123-123=100
x=100 is the answer