Answer:
[tex]9^{2x-1} = 2\\[/tex]
Step-by-step explanation:
According to the law of logarithm;
[tex]If \ log_ab = x\\a^x = b[/tex]
Given
[tex]\log_9\left(2\right)=2x-1[/tex]
Comparing with the original expression;
a = 9, b = 2 and c = 2x - 1
Substitute into the result indicinal expression;
[tex]9^{2x-1} = 2\\[/tex]
This gives the required exponential equation
Help plz..And No links!! I repeat No links!!
Answer:
200 ft^3
Step-by-step explanation:
Volume of rectangular prism equation is
[tex]V=lwh[/tex]
steps in attachment
Method included please. Please someone answer ASAP
11. It refers to the information that supports the claim.
A. reference
B. evidence
C. cite
D. issue
Answer:
B. Evidence
Step-by-step explanation:
Reference: like when your drawing something and you want to make sure that you draw the hair the same way some other person did.
Cite: That’s when you give the credits to someone or something 90% sure
Hope this helps :)
HELP PLEASE I WILL MARK BRAINLIEST
Answer:
i beleive its option number 1
Answer:
first graph
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Then g(x) = | x | - 4 is the graph of f(x) shifted down by 4 units
This is represented by the first graph on the left
Each year the Mannel Department Store has a big end-of-summer
sale. At the sale, they give customers an additional 25% off on all
marked-down merchandise.
a. A beach towel had an original price of $22.00. It was marked
down 10%. What is the final price after the additional
25% discount?
b. A patio table and four chairs originally cost $350.00. They were
marked down 50%. What is the final cost of the table and chairs
with the additional discount?
Answer:
Es ydjwj rjsbt djeiweke
What is the difference of the polynomials?
(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)
6r6s3 – 4r5s4 + 7r4s5
6r6s3 – 13r5s4 – r4s5
8r6s3 – 5r5s4 + r4s5 + 5r3s6
8r6s3 – 13r5s4 + r4s5 – 5r3s6
Answer:
8r6s3 – 13r5s4 + r4s5 – 5r3s6 it is D
DStep-by-step explanation:
The value of the difference of the polynomials is,
⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The expression is,
⇒ (8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵) – (2r⁴s⁵ – 5r³s⁶ – 4r⁵s⁴)
Now, We can find the difference as;
⇒ (8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵) – (2r⁴s⁵ – 5r³s⁶ – 4r⁵s⁴)
⇒ (8r⁶s³ – 9r⁵s⁴ – 4r⁵s⁴ + 3r⁴s⁵ – 2r⁴s⁵ – 5r³s⁶
⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶
Thus, The value of the difference of the polynomials is,
⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶
Learn more about the subtraction visit:
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PLEASE HELP PLEASE PLEASE PLEASE ANSWER ALL OF THE QUESTIONS IF YOU KNOW GEOMETRY
Please help me I would really appreciate it, If you can't that is okay but please try
Answer:
(3p+10q)
Step-by-step explanation:
9p^2 - 100q^2
Rewriting
(3p)^2 - (10q)^2
This is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(3p-10q) (3p+10q)
Answer:
( 3p + 10 q)
Step-by-step explanation:
9 p ² - l00 q ²
(3p)² - ( 10 q) ²
( a ² - b ² = ( a + b) ( a - b) )
( 3p - 10 q) ( 3 p + 10 q)
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
9 ft
2.5 ft
9.4 ft
7.5 ft
Given:
In a right angle triangle, the measures of two legs are 5 ft and 5.6 ft. The measure of the hypotenuse is x.
To find:
The value of x.
Solution:
Pythagoras theorem: In a right angle triangle,
[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]
Using Pythagoras theorem, we get
[tex](x)^2=(5)^2+(5.6)^2[/tex]
[tex]x^2=25+31.36[/tex]
[tex]x^2=56.36[/tex]
Taking square root on both sides, we get
[tex]x=\sqrt{56.36}[/tex]
[tex]x=7.50733[/tex]
[tex]x\approx 7.5[/tex]
The measure of missing side is 7.5 ft. Therefore, the correct option is D.
4x + 5 = 3x + 4??????????
4x + 5 = 3x +4
4x - 3x = 4-5
x = -1
value of x is equal to -1
Answer:
x = -1
Step-by-step explanation:
4x + 5 = 3x +4 (subtract 3x from both sides)
-3x -3x
=1x =0
rewrite: x + 5 = 4 (subtract 5 from both sides)
-5 -5
=0 =-1
Therefore x = -1 (Please mark brainliest hope i helped :)
Find |23| absolute value
Answer:
23
Step-by-step explanation:
The absolute value of any number is just the positive version of that number. For example the absolute value of -12 is 12.
Hope this helps! :)
Evaluate the expression. 202 + 6(9 + 3) =
Answer:
274
Step-by-step explanation:
202 + 6(9 + 3) =
PEMDAS says parentheses first
202 + 6(12) =
Then multiply
202 +72
Then add
274
Answer:
274
Step-by-step explanation:
202 + 6(9 + 3)
202 + 6(12)
202 + 72
274
At a football game, the ratio of men to women is 4:1 There are 9,000 people in total, and each ticket costs £10 Calculate the amount of money made from tickets sold to men. Remember to include units ( £ ) in your answer.
Answer:
£72000
Step-by-step explanation:
According to the Question,
Given, At a football game, the ratio of men to women is 4:1 & There are 9,000 people in totalThus, 5 ⇒ 9000 People
So, 4 ⇒ 7200 People(Men)
1 ⇒ 1800 People(Women)
And, each ticket costs £10Thus, The amount of money made from tickets sold to men is 7200 total Men x £10 Per Ticket Cost ⇒ £72000.
MARKING BRAINLIEST
PLS HELP
Answer:
25
Step-by-step explanation:
Moving it down does not change the length.
Find the square root
[tex]\longrightarrow{\green{π=3.14}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \sqrt{ {\pi}^{2} } \\ \\ = \pi \\ \\ = \frac{22}{7} \\ \\ ( \: or \: ) \\ \\ = 3.14 \\ \\ (∵ \sqrt{( {a})^{2} } = a)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
[tex]\pi = 3.14 \\ \\ \sqrt{\pi {}^{2} } \\ \sqrt{ {3.14}^{2} } \\ |3.14| \\ \\ = 3.14[/tex]
Final Answer: 3.14
Step By Step Explanation:
Simplify The root: Reduce the index of the radical and exponent with 2Calculate The Absolute Value: The absolute of any number is always positive.Alternate Forms:
157/503 7/50☆彡HannaThe Royal Flush, a plumbing service, charges $65 for a service call (just to come to the house) plus $30 per hour to do the repair job. The Leaky Faucet, another plurbing service, charges $35 for a service call plus $45 per hour to do the repair job. How many hours would a job have to take for the bills of both repair services to be the same?
Answer:
Two hours
Step-by-step explanation:
The Royal Flush:
$65 + $30(per hour) = $95(for one hour)
$95 + $30 = $125(for two hours
The Leaky Faucet:
$35 + $45(per hour) = $80(for one hour)
$80 + $45 = $125(for two hours)
Therefore, it would take two hours for both of the repair services to have the same total.
In ΔSTU, \text{m}\angle S = (2x+10)^{\circ}m∠S=(2x+10) ∘ , \text{m}\angle T = (3x-9)^{\circ}m∠T=(3x−9) ∘ , and \text{m}\angle U = (6x-19)^{\circ}m∠U=(6x−19) ∘ . Find \text{m}\angle T.M∠T.
Answer: [tex]\text{m}\angle T=45^{\circ}[/tex]
Step-by-step explanation:
Given: In ΔSTU, [tex]\text{m}\angle S = (2x+10)^{\circ}[/tex] , [tex]\text{m}\angle T = (3x-9)^{\circ}[/tex], [tex]\text{m}\angle U = (6x-19)^{\circ}[/tex]
To find: [tex]\text{m}\angle T[/tex].
We know that the sum of all the angles of a triangle is [tex]180^{\circ}[/tex].
In ΔSTU,
[tex]\text{m}\angle S+\text{m}\angle T+\text{m}\angle U=180^{\circ}\\\\ 2x+10+3x-9+6x-19=180\\\\ 11x-18=180\\\\11x =180+18\\\\11x=198\\\\x=\frac{198}{11}\\\\ x=18[/tex]
[tex]\text{m}\angle T = (3(18)-9)^{\circ}\\\\=(54-9)^{\circ}\\\\= 45^{\circ}[/tex]
Hence, [tex]\text{m}\angle T=45^{\circ}[/tex]
Which numbers are irrational numbers?
Select each correct answer.
9√
12−−√
16−−√
20−−√
25−−√
Answer:
Square root of 12
Square root of 20
Step-by-step explanation:
An irrational number contains an infinite decimal.
All other numbers are perfect squares, resulting in whole numbers.
The square root of 9 is 3 because 3 × 3 = 9.
The square root of 12 is 3.464....
The square root of 16 is 4.
The square root of 20 is 4.472....
The square root of 25 is 5.
Help me pls i'm struggling need help fast!
A number greater than 4 is rolled on a six-sided number cube. What is the probability of the complement of this event? Express your answer as a fraction in simplest form.
===========================================================
Explanation:
set A = dice values greater than 4 = {5,6}
set B = dice values 4 or less = {1,2,3,4}
Sets A and B are considered complementary because one or the other must happen. You must either roll something larger than 4 (set A) or you must roll something from set B.
There are 4 items in set B out of 6 possible outcomes. That leads us to the answer 4/6 = 2/3
A certain word game contains a large 20-sided die with letters instead of numbers on the sides. If all of the vowels (a, e, i, o, and u) are on the die, then what is the probability of rolling a vowel?
Answer:
The probability to get the vowel is 1/4.
Step-by-step explanation:
The number of elements in sample space, n(S) = 20
The number of elements in event, n (E) = 5
The probability to get the vowel is
[tex]P(E) =\frac{n(E)}{n(S)}\\\\P(E)=\frac{5}{20}\\\\P(E) = \frac{1}{4}[/tex]
Please help me answer my question
Answer:
SA= 882cm^2
Step-by-step explanation:
SA=2( width*length + hight*length + hight*width )
SA=2( 9*20+ 9*20+ 9*9)
SA= 2*441
SA=882cm^2
Given the graph of the line, choose two points and find the slope. Construct the equations for each of the
points you chose in point slope form. Show your work and explain each step.
*The graph is in the picture *
PLEASE HELP I WILL GIVE BRAINLIST
Step-by-step explanation:
First, given that we must use point slope form, we can define that as
y - y₁ = m (x-x₁), with m being the slope .
To find the slope, we can use the equation
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. Two points on the graph are (0, 1) and (1, 3). For these points, when calculating the slope, 0 and 1 represent x₁ and y₁ respectively, while 1 and 3 represent x₂ and y₂ respectively Using this formula, we can plug our points in to get
[tex]\frac{3-1}{1-0} = 2/1 = 2[/tex]
as our slope. Therefore, our equation is
y - y₁ = 2 (x-x₁).
For our first point, (0,1), we can simply plug 0 in for x₁ and 1 in for y₁ to get
y - 1 = 2(x-0) as one equation
Next, for (1,3) we can plug 1 for x₁ and 3 for y₁ to get
y - 3 = 2 (x-1) as our other equation
Which of the following is not a type of correlation associated with scatterplots?
A. no correlation
B. positive correlation
C. negative correlation
D. indefinite correlation
Please select the best answer from the choices provided
The type of correlation not associated with scatterplots is an indefinite correlation
What is correlation?Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.
Correlation can only be between -1 and 1 but not outside these values.
The types of correlation that we have to include:Hence the type of correlation not associated with scatterplots is an indefinite correlation
Learn more on correlation here: https://brainly.com/question/26172866
Dan earns $9.50 per hour as a dishwasher. Determine the fewest number of hours he must work to earn
more than $408.
Answer:
43 hours
Step-by-step explanation:
[tex]\frac{y}{1} :\frac{408}{9.5}[/tex]
y × 9.5 = 408 × 1
9.5y = 408
9.5y ÷ 9.5 = 408 ÷ 9.5
[tex]y=42\frac{18}{19}[/tex]
43 hours
Use the Distributive Property to find 1/3×6 1/2.
ILL MARK YOU SOMETHING LIKE BRAINY GENIUS
Answer:
2 1/6 or 13/6
Step-by-step explanation:
Equation: [tex]\frac{1}{3}[/tex] × 6[tex]\frac{1}{2}[/tex]
Distribute: (1/3) ( 6 + 1/2)
(1/3)(6) + (1/3)(1/2)
2 + 1/6
2 1/6 or 13/6
IT ISNT THE 1st OR 2nd HELP LOOK AT IMAGE PLEASE
Answer:
Last option
Step-by-step explanation:
First method :
Red Line:
Take 2 coordinates through which the line passes. Let it be (0, 7) and (14, 0).
[tex]slope, m=\frac{ 0-7}{14-0} = -\frac{7}{14} = -\frac{1}{2}[/tex]
[tex]Equation : (y - 7) = -\frac{1}{2}(x)[/tex]
[tex]2y - 14 = -x\\2y + x = 14\\4y + 2x = 28[/tex] [tex][ multiply \ by \ 2 \ on \ both \ sides][/tex]
Blue Line:
Take coordinates through which the line passes.
Let it be (-4, -12) and (-10, -9).
[tex]slope, m = \frac{-9 + 14}{-10} = \frac{5}{-10} = -\frac{1}{2}[/tex]
[tex]equation : (y + 12) = -\frac{1}{2} (x+4)\\[/tex]
[tex]y = -\frac{1}{2}x - 2 - 12\\\\y = -\frac{1}{2}x -14\\\\2y = -x - 28\\\\-2y = x +28[/tex]
Second Method:
From the graph it is clear the lines are parallel. The slopes of line parallel to each other are equal. So convert each equation into standard line equation form :y = mx + b
And check for set of equation whose slope are same.
First set :
[tex]y = 10x - 15 \\\\=> slope = 10\\\\-9x + 2y = 10\\2y = 9x + 10\\\\y = \frac{9}{2}x + 5 => slope = \frac{9}{2}[/tex]
Slopes are not equal.
Second set :
[tex]2y = 2x + 5\\y = x + \frac{5}{2}\\slope = 1\\\\\\3x -4y = -5\\4y = 3x + 5\\\\\y = \frac{3}{4}x + \frac{5}{4}\\\\slope = \frac{3}{4}[/tex]
Slopes are not equal.
Third set :
[tex]y = 3x +10 \\slope = 3\\\\\\2x - 3y = -6\\3y = 2x +6\\\\y = \frac{2}{3}x + 2\\\\slope = \frac{2}{3}[/tex]
Slopes are not equal.
Fourth set :
[tex]2x + 4y = 28\\4y = -2x +28\\\\y = -\frac{1}{2}x + 7\\\\slope = -\frac{1}{2}\\\\\\-2y = x + 28\\\\y = -\frac{1}{2}x - 14\\\\slope = -\frac{1}{2}[/tex]
Slopes are same.
The points (6, 9) and (8, 11) fall on a particular line. What is its equation in slope-intercept form?
Answer: y = 1x + 3
Step-by-step explanation:
If you plot it, you see the slope is 1/1, and the y-intercept is at (0, 3).
7(x + y) ex2 − y2 dA, R where R is the rectangle enclosed by the lines x − y = 0, x − y = 7, x + y = 0, and x + y = 6
Answer:
[tex]\int\limits {\int\limits_R {7(x + y)e^{x^2 - y^2}} \, dA = \frac{1}{2}e^{42} -\frac{43}{2}[/tex]
Step-by-step explanation:
Given
[tex]x - y = 0[/tex]
[tex]x - y = 7[/tex]
[tex]x + y = 0[/tex]
[tex]x + y = 6[/tex]
Required
Evaluate [tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA[/tex]
Let:
[tex]u=x+y[/tex]
[tex]v =x - y[/tex]
Add both equations
[tex]2x = u + v[/tex]
[tex]x = \frac{u+v}{2}[/tex]
Subtract both equations
[tex]2y = u-v[/tex]
[tex]y = \frac{u-v}{2}[/tex]
So:
[tex]x = \frac{u+v}{2}[/tex]
[tex]y = \frac{u-v}{2}[/tex]
R is defined by the following boundaries:
[tex]0 \le u \le 6[/tex] , [tex]0 \le v \le 7[/tex]
[tex]u=x+y[/tex]
[tex]\frac{du}{dx} = 1[/tex]
[tex]\frac{du}{dy} = 1[/tex]
[tex]v =x - y[/tex]
[tex]\frac{dv}{dx} = 1[/tex]
[tex]\frac{dv}{dy} = -1[/tex]
So, we can not set up Jacobian
[tex]j(x,y) =\left[\begin{array}{cc}{\frac{du}{dx}}&{\frac{du}{dy}}\\{\frac{dv}{dx}}&{\frac{dv}{dy}}\end{array}\right][/tex]
This gives:
[tex]j(x,y) =\left[\begin{array}{cc}{1&1\\1&-1\end{array}\right][/tex]
Calculate the determinant
[tex]det\ j = 1 * -1 - 1 * -1[/tex]
[tex]det\ j = -1-1[/tex]
[tex]det\ j = -2[/tex]
Now the integral can be evaluated:
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA[/tex] becomes:
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{x^2 - y^2}} \, *\frac{1}{|det\ j|} * dv\ du[/tex]
[tex]x^2 - y^2 = (x + y)(x-y)[/tex]
[tex]x^2 - y^2 = uv[/tex]
So:
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *\frac{1}{|det\ j|}\, dv\ du[/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *|\frac{1}{-2}|\, dv\ du[/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *\frac{1}{2}\, dv\ du[/tex]
Remove constants
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 {\int\limits^7_0 {ue^{uv}} \, dv\ du[/tex]
Integrate v
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 \frac{1}{u} * {ue^{uv}} |\limits^7_0 du[/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 e^{uv} |\limits^7_0 du[/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 [e^{u*7} - e^{u*0}]du[/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 [e^{7u} - 1]du[/tex]
Integrate u
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7u} - u]|\limits^6_0[/tex]
Expand
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * ([\frac{1}{7}e^{7*6} - 6) -(\frac{1}{7}e^{7*0} - 0)][/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * ([\frac{1}{7}e^{7*6} - 6) -\frac{1}{7}][/tex]
Open bracket
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7*6} - 6 -\frac{1}{7}][/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7*6} -\frac{43}{7}][/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{42} -\frac{43}{7}][/tex]
Expand
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{1}{2}e^{42} -\frac{43}{2}[/tex]
∆ABC has coordinates A(3, 1), B(5, 5) and C(4, 1). After a translation, the coordinates of A' are (0,0). What are the coordinates of B' and C'?
Answer:
B'(2,4) & C'(1,0)
Step-by-step explanation:
According To the Question,
Given, We have an ∆ABC that has coordinates A(3, 1), B(5, 5) and C(4, 1).
Now, After a translation, the coordinates of A' are (0,0) .
Then, the coordinate of B' & C' Also changes the same as like A' .
A(3,1) ⇒ A'(0,0) {here from x-axis it reduce 3 and from y-axis it reduce 1}
Same as Above,
B(5,5) ⇒ B'(2,4)
&, C(4,1) ⇒ C'(1,0) .
