The corresponding values of d, e ad f are 1, 1/16, and 1/256 respectively
Find the table of values attached. From the given table the function of the output is expressed as [tex]g(x) = 4^{-x}[/tex]
If x = 0, then;
[tex]g(0) = 4^{-0}\\g(0) = 1/4^0\\g(0)=1/1 = 1\\[/tex]
If x = 2
[tex]g(2) = 4^{-2}\\g(2) = 1/4^2\\g(2)=1/16[/tex]
If x = 4;
[tex]g(4) = 4^{-4}\\g(4) = 1/4^4\\g(4)=1/256[/tex]
Therefore the corresponding values of d, e ad f are 1, 1/16 and 1/256 respectively
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Answer:
a = ⇒ 1
b = ⇒ 1/16
c = ⇒ 1/256
d = ⇒ 1
e = ⇒ 4/9
f = ⇒ 16/81
Lailah earns $9 per week working at the aquarium. Write and solve an inequality that can be used to find how many hours she must work in a week to earn at least $135. Explain the solution.
Answer: 15
Step-by-step explanation:
9 x h = 135
9 x 15 = 135
6/7 is in simplest form
Answer:
6/7 is the simplest form.
Hope this helps :)
What is the quotient (91y3 + 21y2 − 35y) ÷ 7y?
answer:13yexponent2+3y−5
An appropriate tip for a waiter at a restaurant is at least 15%. For a tab of $20, how much money should be left, including tip?
$23, a $20 bill plus $3 tip
A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has traveled 936 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
The required equation is:
d = 81tf(t) = 81tStep-by-step explanation:
I think that's the answer
The linear function rule to model the distance in feet 'd' that the car has traveled any number of seconds 't' after passing the timing device. can be represented as d = f(t) = 117t
What is Linear Function?A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.
Given that car is moving at a constant speed.
Distance travelled by car = 936 feet
Time taken to travel the distance = 8 seconds
Speed = Distance / Time
= 936 / 8
= 117 feet per second
So the car will be moving at a speed of 117 feet per second at any time t.
Distance of car at any time is,
Distance = Speed × Time
d = 117 × t
d = f(t) = 117t
Hence the linear function which models the relationship between d and t is d = f(t) = 117t.
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Awnser please jsjshshshdh
Answer:
No
Step-by-step explanation:
A function cannot have two of the same x values (3 and 3)
I hope this helps!
paul, colin and brian are waiters.One night the restaurant earns tips totalling £78.40.
They share the tips in the ratio 2:1:5.
How much more does Brian get over Colin?
Answer:
£39.20
Step-by-step explanation:
2+1+5=8
£78.40/8 = 9.8
9.8*5= 49
49-9.8= 39.2
PLEASE HELP ME!! THANKS :)
Answer:
1. y=7
2. y=17
3. y=21
4. y=24
Step-by-step explanation:
I hope you're able to complete the problem, have a great day/night! <3
5x=30
AAAA
Help.. -v-
Answer:
x equals 6:
5x=30
x=30/5
x= 6
Answer:
x=6
Step-by-step explanation:
to help you understand whatever you do on one side you do on the other so
in this case to find x we need to divide x by 5 and if we divide x by 5 we also
need to divide 30 by 5
∵5x=30
∵5x÷5=30÷5
∵x=6
Mr.Wedmore works at a car dealership and earns a monthly salary of $2,000. He also earns 25% commission on the gross profit of the car sales. If Mr.Wedmore brought in $10,000 worth of profit, for the dealership, how much would he earn this month
Answer:
25% of 2000= 500
25% of 10000= 2500
Step-by-step explanation:
kate has 2.95 in quarter and nickels she has 23 coins how many quarters and nickles does she have
Answer:
9 quarters and 14 nickles
The number of quarters is 9.
The number of nickels is 14.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Number of quarters = x
Number of nickels = y
Now,
1 quarter = $0.25
1 nickel = $0.05
Two equations are:
x + y = 23 ____(1)
x = 23 - y _____(2)
0.25x + 0.05y = 2.95 _______(3)
Putting (2) in (3) we get,
0.25(23 - y) + 0.05y = 2.95
5.75 - 0.25y + 0.05y = 2.95
5.75 - 2.95 = 0.20y
2.8 = 0.20y
y = 2.8/0.20
y = 14
Now,
x + y = 23
x = 23 - 14
x = 9
Thus,
There are 9 quarters and 14 nickels.
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Five cans of cola cost $1.20. Find the cost of seven cans. Please help!
Answer:
1.20 divided by 5 is 0.24, so 1.20 plus 2 cans is 1.68
solve similar triangles (advanced)
Step-by-step explanation:
since m<CBA = m<EDA = 90
, < A is a common angle
then : triangle EDA is similar to triangle CBA
then : 11/3+X = 2/3
33=6+2X
27=2X
X=13.5
10 + (-3 3/8)
Please explain of how i can do this
Answer:
53/8 or 6.625
Step-by-step explanation:
10 + (-3 3/8)
Convert everything to a fraction having the same denominator.
-3 3/8
-24/3 - 3/8
-27/8
10
80/8
Combine: (80/8 - 27/8) = 53/8 or 6.625
Solve for x. 4 1/2 ≤ 1.2x
x ≥ 3 3/4
x≤3 3/4
x≥5 2/5
x≤5 2/5
Step-by-step explanation:
4 1/2 < 1.2x
4.5 < 1.2x
4.5/1.2 < x
3.75 < x
3 3/4 < x
Option 2 is the correct answer
Answer:
the second one x<3 3/4 is the answer
Seven tickets for a Broadway show cost $385. How much will only 4 tickets cost?
Answer:
That seems a little hard-
Step-by-step explanation:
Answer:
$220
Step-by-step explanation:
If seven tickets cost 385, then 1 ticket costs one-seventh of that amount, so we divide it by 7 to see how much one ticket costs.
385/7 = 55
One ticket is $55. To find out how much 4 tickets cost, multiply 55, the price of one ticket, by 4.
55 * 4 = 220
$ tickets cost $220
Out of the people who called in during a ratio station poll, 9 out of 25 chose pop as their favorite type of music. 1 out of 5 callers chose rock, 6 out of 75 chose classical, and 18 our of 50 callers chose R&B. Which pair of ratios are equivalent?
Brainliest to a person who gets it right. Need Answer ASAP please!!
What percent of 55 is 44?
The number 44 is 80% of the number 55.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the numbers are 55 and 44. The percentage will be calculated below,
55 x X% = 44
X% = ( 44 x 100 ) / 55
X% = 80%
Therefore, the number 44 is 80% of the number 55.
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PROVE: BD is congruent to BE. Provide steps and reasons.
Answer:
It is congruent
Step-by-step explanation:
Because AB and BC are congruent, having DE bisect them
directly in the middle creates equal lines of BD and BE.
ababccaaadadaddaddaa
Answer:
ababababababababbbababbbababbababaaaaaabababbababab
Step-by-step explanation:
hru and thank u for this question
Answer:
dsvrg
Step-by-step explanation:
2) Last Friday, Trevon had $17.64.
He received money from mowing
the yard. Trevon now has $32.18
How much money did he receive?
Answer:
$14.54
Step-by-step explanation:
We use the equation 32.18-17.64 to find our answer of $14.54
Tom has a piece of wood that is 10 and 1/3 inches long. He divides the wood into pieces that are 2 and 1/5 inches long. How many pieces will he have?
Write the sentence as an equation.
u more than 178 equals p reduced by 309
Type a slash ( 1 ) if you want to use a division sign.
Submit
64PT AND BRAINLIEST! Which of the following would produce a graph with no solution?
| x | = − 5
| x | < 5
| x | < 5
| x | = 0
Answer:
| x | = − 5
Step-by-step explanation:
Let's solve your equation step-by-step.
| x | = − 5
Solve Absolute Value.
| x | = − 5
No solutions. (Absolute value cannot be less than 0.)
Answer:No solutions.
I hope this helps :)
Answer:
| x | = -5
Step-by-step explanation:
Let's think about absolute value, the number we stick in side of these magical type "brackets" (so to speak) is always going to end up being positive because absolute value is the distance of a number from 0. Therefore, we know that because "x" cannot be negative in this scenario, the absolute value of x cannot be equal to -5 and therefore would produce a graph with no solution!
solve the problem (pls help fast)
21²/0.219 to 2 significant figures
what is y-2=4(x+1) in slope intercept form
Answer: y=4x+3
Step-by-step explanation: First, lets clean this expression up.
y - 2 = 4(x+1)
Multiply 4 times x and 4 x 1.
y-2=4x+1
add 2 to both sides.
Finally, you get y=4x+3.
Remember that 4 is your m (slope), and b (y-intercept). If you were graph this, it would increase to the right. You graph your intercept 3 on the positive y-axis at (0,3) and since your slope is 4x, you go 4 units up and 1 unit to the right and from there, you get the graph of the given equation.
Hope this explanation helps.
Brad needs to rent scaffolding to paint a 2-story room. Handy Rentals charges $15 plus $12.50 per hour. The EZ Rental Company charges $7.50 plus $13.75 per hour. For how many hours would Brad need to rent the scaffolding for the cost to be the same from each rental company?
Answer:
6 hours
Step-by-step explanation:
lmk if you want an explanation
What will be the result when each term sin2theta+cos2theta =1 is divided by sin2theta
Answer: Did you copy and paste this because this just hits different. message me if i misunderstood this.
Step-by-step explanation:
Find the value of N the expression 24 : N = 12 : 17.
Answer:
N = 34
Step-by-step explanation:
METHOD I
(hit and trial)
The given two ratios have to be equal.
This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.
The common factor here is 2.
Since,
12 × 2 = 24
17 × 2 = 34
[tex] \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}[/tex]
(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).
METHOD II
(mathematical approach)
Ratios can be written in form of fractions as:
[tex] \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}[/tex]
Cross multiplying:
[tex] \implies \mathsf{24 \times 17 = 12 \times N }[/tex]
taking 12 to the denominator:
[tex] \implies \mathsf{ \frac{24 \times 17 }{12} = N }[/tex]
24 and 12 gets canceled and 2 takes up their spot
(why?
=> 24 ÷ 12 = 2)
[tex] \implies \mathsf{2 \times 17 = N } [/tex]
[tex] \implies \mathsf{2 \times 17 = N } [/tex]
[tex] \implies \mathsf{ N = 34 } [/tex]
[tex] \implies \mathsf{ N = 34} [/tex]