Answer: f(x)= -2x+1
Step-by-step explanation:
The expression for f(x), when we rewrite [tex]\frac{64^x}{4^{5x-1}}[/tex] as [tex]4^{f(x)}[/tex] will be [tex]4^{-2x+1}[/tex].
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
[tex]\frac{64^x}{4^{5x-1}}[/tex]
So,
Now, to rewrite in form of [tex]4^{f(x)}[/tex],
So,
Rewrite the given expression in the form of 4,
i.e.
[tex]\frac{64^x}{4^{5x-1}}[/tex]
[tex]=\frac{(4^3)^x}{4^{5x-1}}[/tex]
[tex]=\frac{(4^3x)}{4^{5x-1}}[/tex]
NOw,
Using Exponent rule,
We get,
[tex]=4^{3x-(5x-1)}=4^{3x-5x+1}[/tex]
On solving we get,
[tex]=4^{-2x+1}[/tex]
So,
[tex]4^{f(x)}=4^{-2x+1}[/tex]
Hence, we can say that the expression for f(x), when we rewrite [tex]\frac{64^x}{4^{5x-1}}[/tex] as [tex]4^{f(x)}[/tex] will be [tex]4^{-2x+1}[/tex].
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lindsay bedford works at the baseball cap shop. she is paid $6.50 per hour plus $0.45 for each cap she embroiders. how many caps must she embroider to earn at least $85 in an 8-hour day? group of answer choices
Answer:
Step-by-step explanation:
74 caps
What is the measure of ∠ADB? WILL CHOOSE THE BRAINLIEST ANSWER!
Answer: A
Step-by-step explanation:
Angles on a straight line must add up to 180 so angle BCA is 180-132=48
Because the triangle BAC is an isosoles angle BCA and ABC must be the same so 48
We can now use the angle on a straight line rule to figure out angle DBA 180-48=132
We know that triangle DBA is an isosoles trianlge so and x and DAB must be the same and both be x, and we know that angles in a triangle add up to 180 so the equation can be written as:
180=2x+132
48=2x
x=24
Ed needed to extend the string on his kite. The current string was seven and three fourths feet. He cut a piece of string that measured 8.5 feet and added it to the existing string. What is the new length of the string?
The new length of the string that Ed have now is 16.25 feet.
What is a fraction ?Fraction is some part of a total quantity.
Ed has a kite and a string of length[tex]7\frac{3}{4}[/tex] feet which is = [tex]\frac{31}{4}[/tex] feet.
He wants to extend the sting length so he added another 8.5 feet which is
= [tex]\frac{17}{2}[/tex] feet.
∴ The total length of the string will become
(31/4) + (17/2) feet.
= (31 + 34)/4 feet.
= 65/4 feet.
= 16.25 feet.
So, after he extended his string it has a length of 16.25 feet.
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Answer:
To find the new length of the string, we need to add the length of the new piece of string to the existing length.
The current string length is 7 and 3/4 feet. This can be written as a mixed number, 7 + 3/4 = 7 3/4.
The new piece of string measures 8.5 feet.
To add these two lengths, we can convert the mixed number to an improper fraction and then add the fractions together.
7 3/4 can be converted to an improper fraction as (7 * 4 + 3) / 4 = 31/4.
Now we can add the fractions:
31/4 + 8.5 = (31/4) + (8.5 * 4/4) = 31/4 + 34/4 = 65/4
To simplify the fraction, we can divide the numerator (65) by the denominator (4) to get the whole number part and the remainder.
65 ÷ 4 = 16 remainder 1
So the new length of the string is 16 1/4 feet.
Therefore, the new length of the string is 16 and 1/4 feet.
Step-by-step explanation:
sally paid $3.50 for 7 apples. write an equation to represent the total cost y of buying x apples
Answer:
24.5 = 3.50 * 7
Step-by-step explanation:
I used multiplication.
Answer:
y=x+b
3.50=7x
Step-by-step explanation:
7 is how many apples sally bought
it is $3.50 for 7 apple so $3.50 is y
7 times the price for one apple is $3.50
which also means each apple is $0.50
Given directed line segment cd, if point e divides cd three-fourths of the way from c to d, find the coordinates of e.
The coordinates of point E is (-2, -1.5)
How to determine the coordinates of point E?
see in the file attached below
The given parameters are
C = (1, 6)
D = (-3, -4)
The ratio 3/4 can be represented as:
m : n = 3 : 1
So, the coordinate of point E is
E = 1/(m + n) * (mx2 + nx1, my2 + ny1)
So, we have:
E = 1/(3 + 1) * (3 * -3 + 1 * 1, 3 * -4 + 1 * 6)
Evaluate
E = 1/(4) * (-8, -6)
This gives
E = (-2, -1.5)
Hence, the coordinates of point E is (-2, -1.5 )
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Find the surface area of the cylinder (I've been crying for 3 days because I can't get over this problem!)
Answer:
SA = 301.44 in²
Step-by-step explanation:
SA = 2πr² + 2πrh ← factor out 2πr from each term
= 2πr(r + h)
substitute r = 4 and h = 8
SA = 2π × 4 × (4 + 8) ← substitute π = 3.14
= 2 × 3.14 × 4 × 12
= 6.28 × 48
= 301.44 in²
A perimeter of 400.8 meters the length is 182.5 meters .
Answer: 17.9 meters
Step-by-step explanation:
400.8 meters perimeter,
182.5 meters length,
So, Width= (400.8/2)-182.5
Width= 17.9 meters
Help meee pls hhhh help answering now
Answer:
3/8
Step-by-step explanation:
hope this works for you :)
Answer:
the answer is 3/8
Step-by-step explanation:
5/8 + 3/8 = 1
What is the length of x
Answer:
TN/TS=NM/RS
[tex] \frac{240}{120} = \frac{x}{70 } \\ 120x = 16800 \\ x = 140[/tex]
slope intercept form of -5/6x+4
The slope of equation y = -5/6 x + 4 is -5/6 and the slope-intercept form of -5/6x+4 is y = -5/6 x + 4
The slope of a function y = f(x) is given by a formula
slope = y2-y1 / x2- x1
where ( x1 , y1) and (x2, y2) are coordinates of any two points on the line of graph representing y = f(x)
Or we can simply use the slope-intercept form
y = mx+ c
where m is the slope of the given equation and c is the constant
so, in the given equation y = -5/6 x + 4
slope of the equation is -5/6
Hence, The slope of equation y = -5/6 x + 4 simply is -5/6 and the slope intercept form of -5/6x+4 is y = -5/6 x + 4
When you know the slope of the line to be investigated and the point given is also the y intercept, you can utilize the slope intercept formula y = mx + b. (0, b). The y value of the y intercept point is represented by b in the formula.
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2. If a car ragistration number have four symbols the first two of which are
letters and the remainder digits.how many different registration numbers
can be made?
Oa)58500
Ob)62250
Oc)63375
O d)65515
The correct option is a)58500.
The number of different registration number possible when the repetition is not allowed is 58500.
What is meant by the term combination?Selections are another name for combinations. Combinations are the selection of items from a given set of items.
We need not aim to arrange anything here. We intend to choose them. The number of distinct x-selections or combinations from a set of n objects is denoted by ⁿCₓ.Now, according to the given question;
The total number of digits mentioned on the number plate is 4.
The first place is to be filled by letter.
We know that there are total 26 letter. So, there are total 26 possible ways in which the place is filled.
Now, the second place is also to be filled by the letter, but now the letter left are 25. Thus, possible fillings is by 25 letter.
The third position is to be filled by number; there are 10 number (0 - 9) by which the position can be filled.
The fourth position is also to be filled by the number; but now the numbers left are 9.
Thus, the total combination is;
= 26×25×10×9
= 58500
Therefore, there are 58500 possible ways in which the number plate can be formed.
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What is 2-3-7-9-6-7-8-6-5-7-7
Answer:-61
Step-by-step explanation:
Answer:
2-3-7-9-6-7-8-6-5-7-7=-63
Step-by-step explanation:
Hope it helps!!!
;}
5^4 times 3^3/5^2 times 3^2
Power is the result of multiplying same number for n number of times. The value of the given expression when simplified is equal to 75.
What is power?Power is the result of multiplying same number for n number of times. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression can be simplified as shown below.
(5⁴ × 3³) / (5² × 3²)
= (625 × 27) / (25 × 9)
= 16,875 / 225
= 75
Hence, the value of the given expression when simplified is equal to 75.
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61= -9c +7
its asking to solve c please help :)
Answer:
c = -6
Step-by-step explanation:
add 9c to both sides to get 61 + 9c = 7
subtract 61 from both sides to get 9c = -54
divide by 9 to get c = -6
The endpoints of CD are C(3,
5) and D(7, 9).
The coordinates of the
midpoint M of CD are
Answer: M(5,7)
Step-by-step explanation:
[tex]\displaystyle\\C(3,5)\ \ \ \ \ D(7,9)\ \ \ \ \ M(x_M,y_M)=?\\\\M(x_M,y_M)=(\frac{3+7}{2},\frac{9+5}{2})\\\\ M(x_M,y_M)=(\frac{10}{2},\frac{14}{2} )\\\\ M(x_M,y_M)=(5,7)[/tex]
the possibility that experimental results are due to chance, or some factor other than the experimental variable, is measured by the blank
The possibility that experimental results are due to chance, or some factor other than the experimental variable, is measured by the Probability Value.
What is Probability value?Probability value, also called P-value, is defined as:
Under the premise that the null hypothesis is true, the p-value is the likelihood that test findings will be at least as extreme as the result actually observed.
Now,
According to the definition of probability value, the probability that experimental results are due to chance or some factor, can only be measured by probability value as it fits the context most appropriately.To learn more about probability value, refer to the link: https://brainly.com/question/25638875
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The empty gas tank of a motor boat is to be fllled. The tank is shaped like a rectangular prism with length 30cm, width 24cm, and height 18cm. Suppose gas Is pumped into the tank at a rate of 864cm^(3) per minute. How many minutes does it take to fill the empty tank?
Answer:
Step-by-step explanation:
volume of the tank:
30cm*24cm*18cm
12960cm^3
rate=amount/time
time=amount/rate
time=12960cm^3/864cm^3/min
time=12960/864 min
time=15min
Construct a relative frequency histogram for tuition and fees for students at public four-year colleges. write a few sentences describing the distribution of tuition and fees, commenting on center, spread, and shape.
a vineyard has 145 acres of chardonnay grapes. a particular soil supplement requires 5.50 g for every square meter of vineyard. how many kilograms of the soil supplement are required for the entire vineyard? (recall that 1 km2
3230 Kilograms of the soil supplement are required for the entire Vineyard.
Some units that need to be recalled are as follows:
1 km = 1000 m
1 km^2 = 1000000 m^2
1 km^2 = 247 acres
1 kg = 1000 g
Let's tackle the problem now:
A vineyard has 145 acres of Chardonnay grapes.
145 acres = [tex]\frac{145}{247}[/tex]× 1 km^2
145 acres = 145/247 km^2
145 acres ~ 0.587 km^2
A particular soil supplement requires 5.50 grams for every square meter of vineyard
1m^2 → 5.50 gram
1 km^2 = 10^6 →5.50 x 10^6 gram
1 km^2 →5.50 x 10^6 x 10^-3 kg
1 km^2 →5.50 x 10^3 kg
145 acres = 145/247 km^2 →145/247 x 5.50 x 10^3 kg
145 acres → 797500/247 kg
145 acres → 3230 kg
It required 797500/247 kg ~ 3230 kg of the soil supplement for the entire Vineyard.
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Use the following statement to answer questions 10-16.
If a number is greater than -500, then the number is greater than 500.
Determine the truth value of the conditional statement. Explain.
The truth value of the conditional statement is false
How to determine the truth value of the conditional statement?
The conditional statement is given as
“If a number is greater than -500, then the number is greater than 500.”
The above conditional statement is false
This is because not all numbers greater than -500 are greater than 500
for example 450 is greater than -500, but less than 500 that is the number between -500 and 500 will not satisfy the above statement.
Hence, the truth value of the conditional statement is false
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Find the values of a and b that complete the mapping diagram.
Value of a and b that completes the mapping diagram will be a=0 and b=1
• Mapping diagram simply means a function that has a special type of relation where the elements of the domain are paired with that of the range.
• Mapping diagram consists of two parallel columns, the first column depicts the domain of the function whereas the second column depicts the range.
• Lines are drawn from first column to second column i.e. from domain to range, to represent the relation between 2 elements.
• Mapping is quite similar to making a flowchart, showing input and output values.
• Point to be noted that every mapping is a relation but every relation is not a mapping.
Value of a and b that completes the mapping diagram will be a=0 and b=1
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Answer: A = 0, and B = 1.
Step-by-step explanation: I put 0, and 1, and it was the perfect answer.
Hi, please answer
is 1/24 and 7/19 equivalent????
please thank yoooouuuu
Answer:No this is not equivalent.
Answer:
No
Step-by-step explanation:
Both fractions have been simplified as much as possible and aren't the same. They are not equivalent for this reason.
I wasn't entirely sure how to explain this but I hope this helps!
Jacob signs up to work for 2 5/8 hours at the school carnival. If each work shift is 3/4 hour, how many shifts will Jacob work
3 full shifts of 3/4 hour and 1 half shift of 3/4 hour
Shift work is an employment strategy intended to utilize or give service during each of the seven days of the week's full 24 hours. The day is often divided into shifts, predetermined times when various groups of workers carry out their tasks.
Total work hours = 2.625 hours
Each shift = 0.75 hr
Number of shifts = Total work hours / Each shift
= 2.625 / 0.75
= 3.5
Therefore, He worked three full shifts of three hours each and one half-shift of three hours.
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There are 4,500 pounds of fruit in John's store. 1,200 pounds
of the fruit is apples and half as much is mangoes. The weight
of pears is three times the weight of mangoes. If the rest of the
fruits are grapefruits, what is the total weight of grapefruits?
pounds
HELP ASAP PLEASE
Which of the following properties could you use to solve 3/4t < 4 for t in one step? Select all that apply.
subtraction property of inequality
addition property of inequality
division property of inequality
multiplication property of inequality
Answer: t = 1.33333
Step-by-step explanation:
Answer: division property of inequality
Step-by-step explanation:
you would devide 3 by 4 which is 0.75 then add you varible. Thats 0.75t that means that 0.75t is less than 4
?
Levi earned a score of 710 on Exam A that had a mean of 700 and a standard
deviation of 25. He is about to take Exam B that has a mean of 200 and a standard
deviation of 50. How well must Levi score on Exam B in order to do equivalently well
as he did on Exam A? Assume that scores on each exam are normally distributed.
Normal Distribution - Equivalent Scores
Sep 16, 8:06:22 AM
Levi must score 220 in Exam B in order to do equivalently well as he did in Exam A
How well must Levi score on Exam B in order to do equivalently well as he did on Exam A?The given parameters are:
Exam A
Score = 710
Mean = 700
Standard deviation = 25
Exam B
Mean = 200
Standard deviation = 50
The z-score is calculated as
z = (Score - Mean)/Standard deviation
For exam A, we have
z = (710 - 700)/25
z = 0.4
For exam B, we have
z = (Score - 200)/50
Substitute z = 0.4 in z = (Score - 200)/50
0.4 = (Score - 200)/50
This gives
Score - 200 = 20
Add 200 to both sides
Score = 220
Hence, Levi must score 220 in Exam B in order to do equivalently well as he did in Exam A
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HURRY PLEASSEEEEE I'M IN CLASS!
What is the distance between -11 and 3? Write an expression then solve.
15 POINTSS
Answer:
Step-by-step explanation:
because the y points are the same, you'd only have to worry about the x points on the coordinate plane. assuming each unit equals 1 count the distance between points a and b or 11 to 4, which would be 7.
3. A focus group was formed to provide opinions for a target market. What type of data is being collected from the focus group?
Qualitative data is being collected from the focus group.
Given that, a focus group was formed to provide opinions for a target market.
What is a focus group?A group of people assembled to participate in a discussion about a product before it is launched, or to provide feedback on a political campaign, television series, etc.
Focus group used to gather qualitative data and in-depth insights, they enable researchers to collect information on anything from products and services to beliefs and perceptions in order to reveal true customer attitudes and opinions.
Therefore, qualitative data is being collected from the focus group.
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You deposit $300 into a savings account that earns interest annually. the function g(x) = 300(1.04)x can be used to find the amount of money in the savings account, g(x), after x years. what is the range of the function in the context of the problem? â„ [0, [infinity]) [300, [infinity]) [0, 300]
The constant percent rate of change is of 4%
Using compound interest, it is found that the constant percent rate of change is of 4%.
The formula for an amount of money invested into compound interest is given by:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
In which:
A(t) is the amount after t years.
A(0) is the initial amount.
r is the constant percent rate of change.
t is the time.
The function is:
[tex]g(x)=300(1.04)^{x}[/tex]
Thus, for the constant percent rate of change:
1+r = 1.04;
r = 0.04;
0.04 × 100% = 4%
The constant percent rate of change is of 4%.
An annual percentage rate is expressed as an hobby charge. It calculates what percentage of the major you will pay every year by using taking things inclusive of month-to-month bills under consideration. APR is also the annual rate of interest paid on investments without accounting for the compounding of interest within that year.
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Answer:
(C) [300, ∞)
Step-by-step explanation:
Got it right on my quiz.
3. Determine the value of y so that the line
passing through (7, y) and (-1,-3) has a slope of 3/4.
Answer: y=3
Step-by-step explanation:
Slope formula: m=(y2-y1)/(x2-x1)
3/4=(y2-y)/(x2-x1)
3/4=(-3-y)/(-1-7)
3/4=(-3-y)/(-8)
(3/4=(-3-y)/(-8))*(-1) ==> Negate the equation to remove the negative denominator
-3/4=(-3-y)/8
8*(-3/4)=(-3-y)/8 * 8
8*(-3/4)=(-3-y)/8 * 8
-24/4=-3-y
-3-y=-6
-3+3-y=-6+3
-y=-3
y=3