Answers
Answer:
B
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Then
f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B
Related Questions
y-4 = 6(x + 7)
What’s the y-intercept of the equation?
Please explain it to me
Answers
I need help with this please
Answers
Answer:
see attached
Step-by-step explanation:
boundary line
When graphing, it can be useful to have the equation in slope-intercept form. You can get that by solving for y.
4y ≤ -5x -4 . . . . subtract 5x from both sides
y = -5/4x -1 . . . . divide both sides by 4
This tells you the slope is -5/4, and the boundary line crosses the y-axis at y = -1. The slope is the ratio of rise to run, so -5/4 tells you the line will go down 5 units for each 4 unit to the right. That is, points (4, -6) and (-4, 4) will be on the line.
line type and shading
The "or equal to" part of the inequality symbol (≤) tells you that the boundary line will be solid, not dashed.
The "less than" part of the symbol tells you that the values of x and y are less than those on the boundary line, so shading will be to the lower-left. The graph is shown in the attachment.
_____
Additional comment
You can determine the location of the shading by looking at any variable term that has a positive coefficient, and its relation to the inequality symbol. Here, that could be either of ...
5x ... ≤ ...4y ... ≤ ...These tell you that x- and y-values in the solution set are less than those on the line, so shading will be left of (x<) or below (y<) the line. (In rare cases where all of the variable coefficients are negative, you can multiply the equation by -1 and reverse the inequality before you make this analysis.)
Amy is traveling across the USA by train over the summer. She is keeping track of all of the stops on her trip. She has just completed stop 8 and the map shows she is 20% complete. How many total stops are on her trip?
Answers
Answer: 40
Step-by-step explanation: if 8 stops complete 20% of the map 100% is 5 times that so 8x5 is 40 so 40 stops in total
The total number of stops in her trip is 40.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Amy has just completed stop 8 and the map shows she is 20% complete.
let the total number of stops be x
So, 20% of x = 8
20/100x= 8
1/5x = 8
x= 40
Hence, the total number of stops in her trip is 40.
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ2
Question is on the pic!
Answers
Answer:
C
Step-by-step explanation:
C has 2 negative 2's on it, and 2 numbers on the x side cannot be the same.
Answer:
C
Step-by-step explanation:
If your x Collum has more than one of the same numbers so in this case -2 is there twice it's not a function
X 1 1 2 3 4
________________________________________________________
Y 0 3 4 2 6
this would not be a function because the one is at two different heights.
if you think of every number as a person and the y axis as height. two different people can be the same height but one person cannot be two different heights at the same time. if it's on a graph use the vertical line test take a vertical edge of a paper and run it across the graph if the edge of paper goes through more than one point it's not a function
The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.
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[tex]\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times \sin \angle PQR \\\\\\\implies 273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ} \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}[/tex]
I’m very smart. My hair is dark. I love to eat honey, insects, and bark.
Answers
I don't understand the question your asking
Please help me y’all.
Answers
Step-by-step explanation:
6 > 4x - 5
Bringing like terms on one side
6 + 5 > 4x
11 > 4x
11/4 > x
Option none is the correct answer
Determine the measure of the angles.
Answers
Answer:
E=118
K=50
Step-by-step explanation:
I=E
E=118
K=360-118-118-74 (sum of angles in quad)
K=50
Simplify the radical expression. Select all that apply. (There are two answers I believe) √−36
a. 6
b. -6i
c. 6i
d. -i√6
please dont send links, i will give you brainliest
Answers
I need help please!!! My teacher doesn't teacher and she has asked us to do a problem I don't know how to do it. Can somebody explain or give the answer and show your work so I can understand that way? I will be giving away 20 points and brainliest. Thank You!
A patient is told to avoid caffeine for 8 to 12 hours before a blood test scheduled for 6 a.m. The blood test is reliable for up to 50 milligrams of caffeine in the bloodstream. The patient’s body metabolizes caffeine at a rate of 13% per hour.
a. At 10 p.m., the patient drinks a cup of coffee containing 150 milligrams of caffeine. Will the patient be ready for the blood test by 6 a.m.? Explain.
b. How many milligrams of caffeine could the patient have ingested at 7 p.m. and been ready for the blood test at 6 a.m.?
Answers
Using exponential functions, it is found that:
a) Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem:
Caffeine metabolize at a rate of 13% per hour, hence [tex]r = 0.13[/tex].Then:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = A(0)(1 - 0.13)^t[/tex]
[tex]A(t) = A(0)(0.87)^t[/tex]
Item a:
The coffee cup contains 150 milligrams of caffeine, hence [tex]A(0) = 150[/tex].
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).
[tex]A(t) = A(0)(0.87)^t[/tex]
[tex]A(8) = 150(0.87)^8[/tex]
[tex]A(8) = 49.2[/tex]
Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering A(11) = 50, hence:
[tex]50 = A(0)(0.87)^{11}[/tex]
[tex]A(0) = \frac{50}{(0.87)^{11}}[/tex]
[tex]A(0) = 231[/tex]
The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at https://brainly.com/question/25537936
1) WET SURPRISE A water balloon is launched off of a patio. The path of the water
balloon can be modeled by h(t) = -6t2 + 13t + 5, where h(t) is the balloon's height in feet and t is the time in seconds after the balloon is launched.
a. How long will it take for the balloon to splat on the ground?
Answers
The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
[tex]h(t) = -6t^2 + 13t + 5[/tex]
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
[tex]-6t^2 + 13t + 5 = 0[/tex]
Expand the expression
[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]
Factorize the above expression
[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]
Factor out 2t - 5 in the 2t - 5
[tex](-3t - 1)(2t - 5 )= 0[/tex]
Split the equation into 2
[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]
Rewrite as:
[tex]-3t = 1\ or\ 2t = 5[/tex]
Solve for t
[tex]t = -\frac 13\ or\ t = \frac 52[/tex]
The value of t cannot be less than 0 i.e. negative.
So, we have
[tex]t = \frac 52[/tex]
Divide 5 by 2
[tex]t = 2.5[/tex]
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
https://brainly.com/question/11631534
All I need is the answer Please and thank you
Answers
Should be 40ft. If not, I dearly apologize.
Answer:
40ft tall
Step-by-step explanation:
Hope this helps :)
Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.
Answers
Answer:
A' (4,4) B' (0,0) C' (4,0)
Step-by-step explanation:
A (3,2) B (1,0) C (3,0)
Translated left 1 unit: A'' (2,2) B'' (0,0) C'' (2,0)
dilated about origin (0,0) by scale factor of 2: A' (4,4) B' (0,0) C' (4,0)
If p is the smallest of four consecutive even integers, what is their sum interms of P?
plz be fast
I need full step by step the explanation
Answers
The sum in terms of p of four consecutive even integers with p been the smallest is 4(p + 3)
Even numbers are numbers that can be divided into two equal groups and they can be easily divisible by 2 without any remainder.
p is the smallest of the four consecutive even integers. This means p come first and it is the first term of the numbers.
Therefore, the 4 consecutive even integers is represented as follows;
p, p + 2, p + 4, p + 6
So the sum is equal to:
sum = p + p + 2 + p + 4 + p + 6
sum = 4p + 12
sum = 4(p + 3)
learn more on even numbers here: https://brainly.com/question/21514478?referrer=searchResults
please help ASAP!!!
Answers
Answer: y = 115 and x = 78
Step-by-step explanation:
y = 115 because it is parallel with the angle 115 and parallel are congruent, for x find the angle beside the angle 102 and that angle is parallel with the angle x and that will be 180 - 102 = 78 which is x
If triangle ABC is equal to triangle DFE, find the value of x, y, and z.
Answers
Answer:
x=10
z=2
y=5
Step-by-step explanation:
since they are equal, set the sides up as equal to one another and use pemdas to solve.
EX; x+15=2x+5
-x -x
15=x+5
-5 -5
10=x
Please help only if you know. And please don't get this taken down or deleted- this question is very important and confuses me.
What interval would be appropriate to graph the data? what does the question mean???
Answers
Answer: This question is not right
Step-by-step explanation:
What you have asked is how much should the numbers go up on a graph so it all fits on the graph and can be understood.
1st we need to know what data if your numbers were 5 15 20 25 25 20 15 an appropriate interval would be by 5's however if your data was 100 500 1100 800
There would be no way you could fit it on a graph if you went up by five. A better interval would be 100's
Based on my response I hope you can see that in order to find appropriate interval to graph the data we need the data and that you now see what to do or can update the question
HELP!!!
n – 3 = ‐1
Please do not just type in the answer please explain how you got your answer! Whoever explains (CORRECTLY) first gets brainliest!
Answers
EXPLANATION: n-3=-1
n= -1+3
n=2
Answer:
n = 2
Step 1: Add 3 to both sides to isolate x.
n – 3 = ‐1
Step 2: Solve
=> n = -1 + 3
Final Answer: Answer to the question.
=> n = 2
Therefore, n = 2 is our answer.
Hoped this helped.
Cheryl is sailing on Lake Superior. A shipwreck lies below her and its location is represented by a negative amount. A helicopter is flying above her and its location is represented by a positive amount. The shipwreck is a greater distance from Cheryl than the helicopter. Which expression could represent a comparison of the possible absolute values of the shipwreck and helicopter?
A) |–125| < |45|
B) |–98.5| < |23.7|
C) |–174.6| > |204|
D) |–362.5| > |45.8|
Answers
Answer:
D
Step-by-step explanation:
To solve this, we can go through each answer and see if it is correct.
A)
|–125| < |45|
When comparing absolute values, and the absolute value signs (the | lines) are only around one number, we can ignore the negative. Thus, we have
125 < 45
125 is greater than 45, so this is false
B)
|–98.5| < |23.7|
98.5 < 23.7
98.5 is greater than 23.7, so this is false
C)
|–174.6| > |204|
174.6 > 204
174.6 is less than 204, so this is false
D)
|–362.5| > |45.8|
362.5 > 45.8
362.5 is greater than 45.8, so this is true
Which expression below shows that 98 can be written as the product of prime numbers?
A 2 × 49
B 7 × 7 × 2
C 5 × 5 × 2
D 14 × 7
Answers
Answer:
Step-by-step explanation:
Option A
(-2)(-49)
=2×49
=98
Option B
(4)(-27)
=-108
Option C
(-7)(14)
=-98
Option D
(-9)(11)
=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!
HELP ME PLEASE>>>>>>
Answers
Answer:
I think d is the answer......
Write the product using exponents.
(-1/2)•(-1/2)•(-1/2)
Using exponents, the product is
Answers
Answer: (-1/2)^3
-0.125
Step-by-step explanation:
-.125 or 5/40. zzzzzzzzzzzzzzzzz
write 200% as a decimal
Answers
Answer:
Percent Decimal
80% 0.8
90% 0.9
100% 1
200% 2
Answer:
2.00
Step-by-step explanation:
To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).
can someone pls help me expand and simplify 2(3x+4) - 3 (4x-5)
Answers
Answer:
23 - 6x
Step-by-step explanation:
2(3x+4) - 3(4x-5)
6x + 8 - 12x +15 (distributing)
23 - 6x (combining like terms)
20) A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test
Answers
Answer:
50-50 chance I suppose (1/2 or 5/10) or 40% to 60% percent chance
Step-by-step explanation:
He can guess all of the questions and get all of them right, and it is a possibility that he can also get all of them wrong. So I say, 50-50. I can't lie, I'm having trouble with probability as we speak.
which statement is true
A. -9.6 > 8.1
B. -9.6 > -7.6
C.-6.4 < 9.9
D.-7.6 < 8.1
Answers
Answer:
I think its. u must check with calculator
How many text messages have you sent today?
Answers
Answer: A lot
Step-by-step explanation: I can't count how many
find the vertices of the image after the given transformation (x,y)—> (2x, 1/3y)
Answers
Answer:
see explanation
Step-by-step explanation:
the translation rule (x, y ) → (2x, [tex]\frac{1}{3}[/tex] y )
means multiply the x- coordinate by 2 and multiply the y- coordinate by [tex]\frac{1}{3}[/tex] ), so
A (- 1, - 3 ) → A' (- 2, - 1 )
B (4, - 3 ) → B' (8, - 1 )
C (4, 3 ) → C' (8, 1 )
D (- 1, 3 ) → D' (- 2, 1 )
what would the equation be?
Answers
Answer:
y = -2x + 30
Step-by-step explanation:
Firstly, choose 2 coordinates ( I chose [1,28] and [2,,26] ) next use y2-y1/x2-x1 to find your slope, in this case it is -2. Next, take two points and plug them into your equation with your slope to find your b, for this case the b is 30. Put it all together and you get y = -2x + 30
Brainliest would be appreciated. :-)
Select the correct answer.
If you divide -16 into 5 equal parts, how much is each part equal to?
A.
-4
B.
-3.2
C.
+2.4
D.
+5
Answers
Answer:
B) -3.2
Step-by-step explanation:
-16/5 = -15/5 - 1/5 = -3 - 0.2 = -3.2