Step-by-step explanation:
f(x) = 2^x (this is exponential function)
f(x) = 8
the equation is :
2^x = 8
2^x = 2³
cross out 2
so, we get : x= 3
The conversion is given below.
x is 3.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = [tex]2^x[/tex]
f(x) = strength and x is the length.
Now,
Strength = 8
So,
8 = [tex]2^x[/tex]
Taking logs on both sides.
log 8 = x log 2
x = log 8 / log 2
x = log (8/2)
x = log 4
x = log [tex]2^2[/tex]
x = 2 log 2
or
2 x 2 x 2 = 2³ = 8
So,
8 = 2³
x = 3
Thus,
x = 3.
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Every day, Bridgette's burrito stand uses 7/10 of a bag of tortillas. How many days will 6 3/10 bags of tortillas last?
Answer:
Number of days bags of tortillas will last = 9 days
Step-by-step explanation:
Total bags of tortillas =6 3/10
Bag of tortillas used per day = 7/10
How many days will 6 3/10 bags of tortillas last?
Number of days bags of tortillas will last = Total bags of tortillas / Bag of tortillas used per day
= 6 3/10 ÷ 7/10
= 63/10 × 10/7
= 63*10 / 10*7
= 630/70
= 9
Number of days bags of tortillas will last = 9 days
Height of the Qutab Minaar is 73 metre. When the last stone on the top of the Qutab Minaar was carried from ground to its top by labour weighting 50 kg (bricks carried weighted 20kg), how much work was done in that job by gravitational force? (g = 10 m/s2)
(d) –12770J
(a) –32110 J
(b) –51100 J
(c) –76990J
Answer:
peanut butter jelly sandwich
The work done by gravitational force is -51100 J
What is gravitational force?Gravitational force is the force of attraction between all masses in the universe. It is the weakest of all the natural forces. It depends on the mass and distance of the objects.
Given that, a labour has weight 50 kg and bricks carried weighted 20kg to the top of the tower of height 73 m, we need to find the work done by the gravitational force,
W = height × weight × gravity
W = 73 × (50+20) × 10
W = 73 × 70 × 10
W = 51100 J
Hence, the work done by gravitational force is -51100 J
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The sum of a number and two is equal to negative seven. Translate this sentence to an equation and then find the number.
Answer: -9
Step-by-step explanation:
Given
The sum of a number and two is equal to negative 7
Suppose x is that number
[tex]\therefore x+2=-7\\\text{add -2 both sides}\\\Rightarrow x+2-2=-7-2\\\Rightarrow x=-9[/tex]
So, the number is [tex]-9[/tex].
POSSIBLE POINTS: 20
Mr. Allen sells fruit trees to raise money for charity. He sells each fruit tree for the same amount. He also donates a fixed amount of money to the charity
in addition to his fruit tree sales. The equation shown below represents his sales and donation to charity last week.
45.75x + 2,500 = 6,526
The solution to Mr. Allen's equation is x = 88. What does the solution represent?
O Mr. Allen sold each fruit tree for $88.
O Mr. Allen sold 88 fruit trees last week.
O Mr. Allen gave a total of $8,800 to charity last week.
O Mr. Allen's fixed amount that he gave to charity was $88.
6
7.
8
9
10 11 12 13 14
Next
Answer:
Mr. Allen sold 88 fruit trees last week
Step-by-step explanation:
1) Mr. Allen gives a fixed amount of money to charity in addition to the amount of fruit trees he sells.
2) This fixed amount is $2500
3) $45.75 is the amount of money Mr. Allen makes per tree
4) This means that X = The amount of trees Mr. Allen sold last week
HELP GEOMETRY PLEASE!! SHOW WORK PLEASE
Answer:
24
Step-by-step explanation:
Makr me brainliest
To remain a member of student council, a student must attend at least Three-fourths of the activities. Joey attends 15 of the activities and remains on the student council. Which inequality represents the total amount of student council activities, a?
Three-fourths a greater-than-or-equal-to 15
Three-fourths a less-than-or-equal-to 15
Three-fourths a less-than 15
Three-fourths a greater-than 15
Answer:
Three-fourths a less-than-or-equal-to 15
Step-by-step explanation:
Hope this helps!
312.25 squared that's it
Answer:
97500.0625
Step-by-step explanation:
Do 312.25*312.25
which is 97500.0625
Answer:
97500.0625
Step-by-step explanation:
Anything squared is that thing multiplied by itself, and 312.25 times 312.25 is 97500.0625.
Find the rate charged for customers for each serving?
Answer:
3.00
Step-by-step explanation:
irs 3.00 iiiiiiiiiiiiiiiiiiiiiiiiiiiii
Simplify the expression shown below:
log(10^6 * x^2), where x > 0
Write an equation for the line that passes through points (2, 0) and (4, 3).
Which relation is a function.
Answer:
its B
Step-by-step explanation:
I just did it
Anyone know how to do this pleaseee?
Answer:
It should be 384^2
Step-by-step explanation:
Answer:
384 unit^2
Step-by-step explanation:
SA = 2(lw + wh + hl)
= 2(8x8 + 8x8 + 8x8)
= 2(64 + 64 + 64)
= 2(192)
= 384
Hope it helps!
simplify this expression 3xx4y
Answer:
2x × 4y.= 12xy
hope it is helpful to you
Which graph represent the inequality x >15
factor by grouping (or any method): 81x^2 + 9
Answer:
9(9x^2+1)
Step-by-step explanation:
Just factor the 9 out.
Answer:
ur answer is 607.51
Step-by-step explanation:
The area of a square can be found using the equation A = s, where A is the area and s is the measure of one side of the square.
Match the equation for how to solve for the side length of a square to its description.
A square has an area of 227 in^2?
Answer:
s = √227 in
Step-by-step explanation:
A = s²
Where,
A = Area of a square
s = side length of the square
Find the side length of a square with area of 227 in²
A = s²
227 in² = s²
Find the square root of both sides
√227 in² = √s²
√227 in² = s
s = √227 in
Answer:
s = √227 in
Step-by-step explanation:
Please helpppppp!!!!!!!!
Answer:
Step-by-step explanation:
A 10 ft by 10 ft square garden contains a large walking path through the diagonal what is the area of the walking path shown in the grey above
Answer:
64 ft^2
Step-by-step explanation:
Area of shaded part = area of a square = 2 x area of a triangle
area of a square = length^2
10^2 = 100 ft^2
Area of a triangle = (1/2) x base x height
1/2 x 6 x 6 = 18 ft^2
area of shaded part = 100 - 2x 18 = 64 ft^2
Given XYZ, if XY ≈ YZ, and m
Answer: m<Z = 79
Step-by-step explanation:
180 - 22 = 158
158/2 = 79
What is the average rate of change from 0 to 2 of the function represented by the graph?
Answer:
The answer is 3/2
Step-by-step explanation:
the y-values are 3 units apart and the x-values are 2 units apart
The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 5 years.
Complete question is in comment section :
Answer:
68%
Step-by-step explanation:
Mean = 25
Standard deviation = 5
The percentage of trees between 20 and 30
20 trees = 1 standard deviation below the mean ; mean - 1(standard deviation)
25 - 5 = 20
30 trees = 1 standard deviation above the mean ;
Mean + 1(standard deviation) ;
25 + 5 = 30
This means, 20 and 30 lies ±1 standard deviation from the mean which according to the empirical rule is 68%
According to the empirical rule :
Explain how you can find a function rule that has f(a) = 0 and f(b) = 0 and contains the point (0, c).
Answer:
how do i explain if i dont know how?
Step-by-step explanation:
^^^
Three consecutive odd number are x+3,x+5,x+7. The sum of these numbers cannot be greater than 201. Find the range value of x
Answer:
X+3,X+5,X+7
X+X+X
=X
=3+5+7
=15
X=15
The range value of the variable 'x' will be less than or equal to 62.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The three consecutive odd numbers are x + 3, x + 5, and x + 7. The sum of these numbers cannot be greater than 201. Then the inequality is given as,
x + 3 + x + 5 + x + 7 ≤ 201
Simplify the inequality, then we have
x + 3 + x + 5 + x + 7 ≤ 201
3x + 15 ≤ 201
3x ≤ 186
x ≤ 62
The range value of the variable 'x' will be less than or equal to 62.
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Calculate the surface area of the rectangle prism in the picture
Answer:
252
Step-by-step explanation:
Formula
2wl + 2lh + 2hw=
2( 12 x 6) + 2( 12x3) + 2 ( 3x 6)
2(72) + 2(36) + 2(18)=
144 + 72 + 36= 216 + 36
252
Step-by-step explanation:
l = 12 in
w = 6 in
h = 3 in
S. Area = 2 (lw + lh + wh)= 2 (12 × 6 + 12 × 3 + 6 × 3)
= 2 (72 + 36 + 18)
= 2 × 126
= 252 in^2
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In a football game, one team makes 5 plays. The result of those plays are: gain of 7 yards, gain of 2 yards, loss of 5 yards, loss of 23 yards, gain of 16 yards. What is the overall gain or loss of all 5 plays?
Answer: Loss of 3 yards
Step-by-step explanation:
The overall gain or loss of all 5 plays will be gotten by adding all the results of the plays given and this will be:
= 7 + 2 - 5 - 23 + 16
Collect like terms
= 7+2+16-5-23
= 25 - 28
= -3
The overall loss of all 5 plays will be -3 yards or loss of 3 yards
HELP ASAP ANYONE I NEED IT NOW PLEASE
Answer:
y^2
Step-by-step explanation:
you just subtract 3 from 5
A track is 400 yards around how many full laps does tyler need to run if he wants to run atleast 2 milies
Answer:
17.6 laps
Step-by-step explanation:
Total distance to be covered = 2 miles
distance coved in each lap = 400 yards
We know that 1 mile = 1760 yards
therefore, 4 miles will make = 4×1760
= 7040 yards.
Number of laps to be taken
= Total distance to be covered ÷ distance coved in each lap
= 7040/400 = 17.6 laps
Therefore, it would take 17.6 laps to cover a distance of 4 miles if lap were 400 yards.
PLEASE HELP OMG PLEASE DUE TOMORROW AND MY FINAL GRADE SO PLEASE JUST HELP.
ADE and ABC are similar. Which best explains why the slope of the line between points A and D is the same as the same as the slope between points A and B?
Please helppp pleassee
Answer: 80 Fluid Oz
Step-by-step explanation:
I first have to find out how many fluid Oz there are in one bottle. If there are 16 Oz in 2 bottles, I have to divide 16/2=8. Now I know there are 8 Oz in each bottle. Now I have to multiply 8 by 10. 10*8=80. There is 80 Oz all together.
Hope this helps! :)
Use the distributive property to simplify and type your final answer.
`4 ( x-8)=