Answer:
[tex]g(9) = \frac{2048}{3}[/tex]
Step-by-step explanation:
Given
[tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]x = 9[/tex]
Required
Solve
Substitute 9 for x in [tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{9-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{4}[/tex]
Remove bracket
[tex]g(9) = \frac{1}{6}* 8^4[/tex]
[tex]g(9) = \frac{1}{6}* 4096[/tex]
[tex]g(9) = \frac{1* 4096}{6}[/tex]
[tex]g(9) = \frac{4096}{6}[/tex]
Simplify fraction
[tex]g(9) = \frac{2048}{3}[/tex]
Given the function f(x) =2x+5 what would the output be with an input of 6?
Help help help help help
Answer:
B) 7.5% decrease
Step-by-step explanation:
(11,100 - 12,000) / 12,000 = -9/120 or -3/40, which is -0.075
1. Select all equations that are equivalent to (5x+6) over 2 =3-(4x + 12). A5+6= 3 - (4x + 12) (5x+6) B. 2 = -4x -9 c. x+3 = 3 – (4x + 12) (5x+6) = -4x + 15 2 E. 5x + 6 = -8x – 18
Answer:
Only option E is equivalent to [tex]5x+6=-8x-18[/tex].
Step-by-step explanation:
Given the expression
(5x+6) over 2 = 3-(4x + 12)
Let us simplify the expression
[tex]\frac{\left(5x+6\right)}{2}=3-\left(4x+12\right)[/tex]
Multiply both sides by 2
[tex]\frac{5x+6}{2}\cdot \:2=3\cdot \:2-\left(4x+12\right)\cdot \:2[/tex]
[tex]5x+6=6-\left(4x+12\right)\cdot \:2[/tex]
Expand -(4x + 12) = -4x - 12
[tex]5x+6=-8x-18[/tex]
Thus, option E is equivalent to [tex]5x+6=-8x-18[/tex].
Further solving
[tex]5x+6=-8x-18[/tex]
Add 8x from to both sides
[tex]5x+8x=-8x-24+8x[/tex]
Simplify
[tex]13x=-24[/tex]
Divide both sides
[tex]\frac{13x}{13}=\frac{-24}{13}[/tex]
Simplify
[tex]x=-\frac{24}{13}[/tex]
Thus, only option E is equivalent to [tex]5x+6=-8x-18[/tex].
Answer:
E. 5x + 6 = -8x – 18
Step-by-step explanation:
Hope this will help
A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance that the marathon race participant walks and runs is 12.5 miles. Write a linear equation in standard form that models this situation.
Answer:
2.5x + 5y = 12.5
Step-by-step explanation:
The solution is 2.5x + 5y = 12.5
The equation representing the total distance by the participant who runs and walks is given by 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
The total distance ran by the marathon participant = 12.5 miles
Let the time taken by the participant to walk be = x
Let the time taken by the participant to run be = y
Now , the speed of the participant when walking = 2.5 miles per hour
The speed of the participant when running = 5 miles per hour
So , the equation will be
The distance traveled when walking = speed of the participant when walking x time taken by the participant to walk
Substituting the values in the equation , we get
The distance traveled when walking = 2.5x
And ,
The distance traveled when running = speed of the participant when running x time taken by the participant to run
Substituting the values in the equation , we get
The distance traveled when running = 5y
Now ,
The total distance ran by the marathon participant = The distance traveled when walking + The distance traveled when running
Substituting the values in the equation , we get
2.5x + 5y = 12.5
Therefore , the equation will be 2.5x + 5y = 12.5
Hence , the equation is 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run
To learn more about equations click :
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Which values of f are solutions for the inequality f > 4?
find the lenght of thir side if neccesary round to the nearest tenth 12 5
Answer:
13.416 or 13.4
Step-by-step explanation:
can u pls help me with this question 2
PLEASE HELPPP MEE !!
Answer:
that box in the corner of the angle represents 90°
90° is also known as a right angle
Subtract 90° from 37°.
You should come up with 53°.
Determine if the lines are parallel, perpendicular or neither: x = 5 and x = -2
APQR is similar to AXYZ.
What is the length of XZ?
Answer:
15
Step-by-step explanation:
scale factor is 1.5
10*1.5 =15
Y is inversely proportional to x when y=7,x=9
Answer:
b) y=3
Step-by-step explanation:
5.4(24 - 3.88x)
expression
please help! will give brainliest
Answer1.79
Step-by-step explanation:
jayfeather friend me
Explain how you could the surface area and volume of the water tower
10 Determine the area of the figure. 9 cm 6 cm 12 cm
Answer:
Area= 648
Step-by-step explanation:
Area formula: L times W times H
9 times 6 times 12 :)
When the length, width, and the height is given so the area of the figure is considered to be 648.
Calculation of an area:Since the length is 9cm
The width be 6 cm
And, the height is 12 cm
So, the area be like
= (9) (6) (12)
= 648
Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.
Learn more about an area here: https://brainly.com/question/20882229
WILL MARK BRAINLYIST what are the values of X,Y, and z
Answer:
x=111, y=36, z=76
Step-by-step explanation:
According to a posting on a website subsequent to the death of a child who bit into a peanut, a certain study found that 4% of children younger than 18 in the United States have at least one food allergy. Among those with food allergies, about 43% had a history of severe reaction. (a) If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction
Answer:
0.0172 = 1.72% probability that he or she has at least one food allergy and a history of severe reaction
Step-by-step explanation:
We are given these following probabilities:
4% probability of that a child younger than 18 in the United States has at least one food allergy.
If a child has at least one food allergy, 43% probability of having a history of severe reaction.
If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction
The multiplication of the probabilities. So
0.04*0.43 = 0.0172
0.0172 = 1.72% probability that he or she has at least one food allergy and a history of severe reaction
2/3 + 1 1/10 as a fraction
Answer:
Decimal Form:1.766666...
Mixed Number Form: 1 23/30
Exact Form:53/30
Step-by-step explanation:
In a right triangle, the hypotenuse has endpoints XY, shown on the graph.
On a coordinate plane, line X Y has points (negative 4, 2), (negative 1, negative 3).
If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6
9514 1404 393
Answer:
5
Step-by-step explanation:
A graph can be helpful. It shows possible integer coordinates of Z could be ...
(-1, 2) or (-5, 1)
These have distances 5 and 4√2 from Y, respectively. Of these, only the length YZ = 5 appears on your list of possible answers.
__
The hypotenuse of a right triangle is the diameter of the circumcircle. That is, the right angle vertex (Z) appears on a circle whose center is the midpoint of the hypotenuse. Here, that circle center is C = (-4-1, 2-3)/2 = (-5/2, -1/2). The given point Y differs from this by C - Y = (-5/2 -(-1), -1/2 -(-3)) = (-3/2, 5/2). So, a point with integer coordinates will be 2×(5/2) = 5 units above point Y, which puts it in the 2nd quadrant.
__
Adding any of the 8 combinations (±3/2, ±5/2) or (±5/2, ±3/2) to the circle center coordinates will result in integer coordinates for the right angle vertex. Of these, only the ones listed above are in the second quadrant. A couple are on the y-axis, and two of the possibilities are X and Y. The other two are in the third quadrant.
Answer plz and fastttttttttttttttttt
Answer:
A. 576 gallons
Step-by-step explanation:
60% of 1,440 = 864
1,440 - 864 = 576
so there are 576 gallons left to fill to the top
PLEASEEE HURRY I WILL GIVE BRAINLEST ITS JUST ONE QUESTION
This is literally my last try and if I get this wrong I fail PLEASE answer it correctly that’s all I ask.
(I just need the last question. The multiple choice answers are ‘4,5,6,7,8,9’ I am allowed to choose more than one if needed)
Below is the graph of a polynomial function F with real coefficients. Use the graph to answer the following questions about F. All local extrema of F are shown in the graph.
Solve V=1/3πr² for h
Write a expression with the same meaning as the sum of 3 and the quotient of a number divided by 6
Help me pleaseeeeeeeeeeeeee
BEG is a triangle ABC and DEF are parallel lines workout the size of angle x
Answer:
Step-by-step explanation:
Here the answer
Answer:
Angle X i belive is a right angle
Jamal pays $29.25 for 3 pounds of cocoa powder. Assume that the cost y, in dollars, is proportional to the amount of cocoa powder x, in pounds. find the slope
Answer:
Step-by-step :
Your answer
Your answer
9.75
Mark it as Brainlist answer. Follow me.
Mark it as Brainlist answer. Follow me.
Picture question middle school math
Answer:
[tex] \huge \: b) \: 59 \: i {n}^{2} [/tex]Step-by-step explanation:
to understand thisyou need to know aboutarea of trianglesarea of rectanglePEMDAStips and formulas:rectangle opposite sides are equalarea of rectangle:l×warea of triangle:½×h×blet's solve:the area of the rectangle is
4×7 in²
28 in²
the area of above triangle is
½×6×7 in²
3×7 in²
21 in²
the area of left side triangle is
½×5×4 in²
2×5 in²
10 in²
therefore,
the area of the polygon is
28+21+10 in²
59 in²CAN SOMEONE PLEASE HELP ME?
Solve the equation: (5x+1/2)^2=9/16
Answer:
x=-7/160
Step-by-step explanation:
A pair of jeans is marked down at 25% off the original price. The original price of
the jeans was $68.50. What is the price of the jeans before sales tax?
Answer:
$51.38
Step-by-step explanation:
1 - .25 = .75
you're paying 75% of the price
68.50 • .75 = 51.375 ≈ $51.38
Pls help meeeeeee ahhhhhhh!
Answer: 8x+7
Step-by-step explanation:
The first thing you need to do is multiply (x+1) by 7 (this is the part where you use the distributive property). x times 7 is 7x and 1 times 7 is 7. So now you should have x+7x+7. Now just combine like terms. You can add x and 7x but you can't add the one because there is no variable (x) in it. Your final answer should be 8x+7. Hope this helps!
