Which of the following is equivalent to (8-5) ÷ 2 to the third power?
A. 3/8
B. 19/8
C. 27/8
D. 1/125
The required value is 27/8, which is determined when we compute the expression (8-5) ÷ 2 raised to the third power. Thus, the option (C) is correct.
To find the equivalent expression to (8-5) ÷ 2 raised to the third power, we first simplify the expression inside the parentheses:
(8-5) ÷ 2 = 3 ÷ 2.
Next, we raise this simplified expression to the third power:
(3 ÷ 2)³
To evaluate this, we cube both the numerator and denominator:
(3^3) ÷ (2³) = 27 ÷ 8.
Therefore, the expression (8-5) ÷ 2 to the third power is equivalent to 27/8.
Hence, the correct answer is option C: 27/8.
This means that 27/8 is the value we get when we compute the expression (8-5) ÷ 2 raised to the third power.
Learn more about expressions here :
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Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
-1.18
C.
3,283
D.
3,158
Answer:
D. 3,158
Step-by-step explanation:
h(-67) means to plug the x in h(x)=-49x-125 into the function as -67
The function will then be:
h(-67)=-49(-67)-125
Multiply -49 and -67
h(-67)=3283-125
subtract
h(-67)=3158
so the answer is D
Hope this helps!
on his shelves trenton has 15 biogrophies,15 science fiction books,7 refrence books,and 11 mystery books. find the ratio of biographies to the total number of books
El administrador de una cafetería sabe que vende diariamente 50 litros de jugo mixto. Para elaborar este jugo se emplean dos preparados: uno de jugo de naranja, que contiene un 5% de jugo natural y otro preparado de jugo de toronja, que contiene 25% de jugo natural. Si se desea que el jugo mixto contenga un 10% de jugo natural ¿Cuántos litros de cada preparado se deben emplear?
Answer:
Se necesitan 37.5 litros del preparado que contiene 5% de jugo natural, y 12.5 litros del que contiene 25%.
Step-by-step explanation:
Primero calculamos la cantidad total de jugo natural que se necesita, a partir del volumen de jugo mixto que se quiere vender:
50 L * 10/100 = 5 LAhora, que X sean los litros del preparado con jugo de 5%, y que Y sean los litros del preparado con jugo de 25%:
La suma de ambos preparados tiene que ser 50 L:
1. x + y = 50
La suma del jugo natural tiene que ser 5:
2. x*5/100 + y*25/100 = 5
Por lo que tenemos un sistema de dos ecuaciones y dos incognitas.
Expresamos x en términos de y:
x + y = 50x = 50 - yReemplazamos x en la segunda ecuación:
(50-y)*5/100 + y*25/100 = 5Y despejamos y:
2.5 - 0.05y + 0.25y = 50.20y = 2.5y = 12.5Usando ese valor de y, calculamos x:
x + 12.5 = 50x = 37.5ANSWER RIGHT PLEASE AND ILL GIVE BRAILIEST
Answer:
C
Step-by-step explanation:
The +2 tells you where the 'y' will intersect... and it's gonna be positive 2, and only C has that so ye
I need help with this question pls
Answer:
yes
Step-by-step explanation:
yes it is because if 6ounces is $2.10 and the more ounces you add the higher the cost
btw just copy/paste :P
HELPPPPPP URGENT HELP NEEDED!!!!! 1ST RESPONSE WITHJ EXPLANATION GETS BRAINLIEST!!!
Write the equation of a line going through (-3,1) and (-2,4) in point slope form using the slope you got ( I got -3 for slope) and the first point given.
Answer:
y = -3x + 10
Step-by-step explanation:
y = mx + b
plug in numbers to the equation
1 = (-3)(-3) + b
multiply the slope -3 and -3
1 = (9) + b
subtract 9 from both sides
-8 = b
Now plug in the slope and b
y = -3x - 8
Answer:
The equation I got was y= 3x + 10
Step-by-step explanation:
All you need to do is use the formula y= mx + b.
Help pls guys!!!asap
Answer:
The answer is D
Step-by-step explanation:
This problem may look complex but it isn't; the variables in the "x" column represent what would be substituted for x, and y would be what the equation would equal AFTER substituting the x variable into the equation
So for example, using d's table, I would substitute -4 for x: y = -3(-4) + 2, the answer would be 14, which is in the y column. I will do the same thing using the next variable in the x column, y = -3(-2) + 2, that would equal 8, which is also in the y column, this would not serve true in any other tables.
The cost of a car rental is $30per day plus per mile. You are on a daily budget of $75. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer:
Step-by-step explanation:
Cost ≤ per day amount + daily mileage amount. * miles
75 ≥ 30 + daily mileage amount * miles
That's as far as I can take you. Two other equations are impossible without the daily mileage amount.
I can make one up. Suppose it is 75 cents a mile
75 ≥ 30 + 0.75 * x Subtract 30 from both sides
75 - 30 ≥ 0.75*x
40 ≥ 0.75*x Divide by 0.75
40/0.75 ≥ x
53.33 miles = x
Anything more and you are going over budget. Anything less is fine.
This is enough to get you started without knowing what the rate per mile is.
I need help will give crown
Answer:
$15 per hour and he worked 5 hours yesterday.
Step-by-step explanation:
Since we know that the number of hours he works and know how much he got paid we need to look for how much he makes each hour.
Set up the equation like this.
7x=105
Divide by 7 to isolate the x
x=15
That means he makes 15 dollars per hour. For the 2nd part, we are looking for how many hours he worked. We know that he gets 15 dollars per hour so we can set up the equation like this.
15x=75
Divide by 15 to isolate the x
x=5
That means he worked 5 hours yesterday.
P.S. give me crown
Answer:
He worked approximately 4-5 hours because when he worked 7 hours a day he earned 105 dollars that means he made 15 dollars an hour so he only worked 4-5 hours that day and he made 75 dollars.
Step-by-step explanation:
This is a short answer so u dont have to write that much.
What is 7(9n − 3) − 7n
In order please
simply
Answer:
n= 3/8
Step-by-step explanation:
63n -21 -7n
63n - 7n = 21
56n = 21
n= 3/8 or 0.375
Answer: 56n-21
Step-by-step explanation:
7(9n-3)-7n Multiply parenthesis
63n-21-7n
SUBTRACT 63n-7n- 56n
Answer is: 56n-21
We leave 21 alone because it is a constant. We leave 56n alone because there is no like term with the variable n.
6th grade math i mark as brainliest
help pleaseeeeeeeseee
Answer: this diagram is not a function because one input need one output and 0 and -4 share the output -2
Step-by-step explanation:
6 of 12
Write in index form
(-4) × (-4) × (-4) x (-4) × (-4) x (-4)
Given:
The expression is
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
To find:
The index form of given expression.
Solution:
Index form is the exponent form, it means, the number is represented in power of a number.
We have,
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
Here, we have 6 times -4. So, we get -4 as base and 6 as index or exponent.
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)=(-4)^6[/tex]
Therefore, the index form of given expression is [tex](-4)^6[/tex].
Please give an answer this question is worth 20 points on my test
Find the equation for each line.
I need help with this question! Will mark brainliest :)
Answer:
hiii
your answer is option d
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.INanswer: y= 20x+30
Step-by-step explanation:
it says they charge 20$ per hour and x is the amount of hours.
30$ is charged as the registration fee at the beginning only.
When are two lines parallel?
A. when the slopes are positive
B. when the slopes are equal
C. when the slopes are opposite
D. when the product of the slopes is –1
Answer:
B
Step-by-step explanation:
12. A local school activity bus travels North to Denton to take students on a tour of the University of North Texas. The trip from the school to Denton is 66 kilometers. The bus travels for 56 minutes before it arrives at the UNT campus. Which of the following best represents the speed of the bus for this campus visit trip?
Your answer is... 1.2 km/hr
Giving brainless don’t comment if u don’t know I’ll report you.
Answer:
Greater than 10 but less than 100.
Step-by-step explanation:
So 300% of 6 is 18.
10<18
18<100
Hope this helps <3
A city has 5 new houses for every 9 old houses. If there are 35 new houses in the city, how many old houses are there?
A.
61
B.
65
C.
63
D.
68
Answer:
C.) 63
Step-by-step explanation:
You know what you insisted on me answering, so I'll answer here.
35 ÷ 5 = 7
7 x 9 = 63
35/5 = 7
7 * 9 = 63
Therefore, there are 63 (C) old houses in the city.
40 POINTS- Are a logistic equation and a logistic regression model the same thing? If not, what's the difference?
I have a logistic equation and need to make a logistic regression model from it but I'm not sure how to. Any help is appreciated :)
Answer: They are diffrent
Step-by-step explanation: The logistic equation was first published by Pierre Verhulst in 1845. This differential equation can be coupled with the initial condition P(0) = P0 to form an initial-value problem for P(t). Suppose that the initial population is small relative to the carrying capacity. Then P K is small, possibly close to zero.
The logistic regression coefficients are the coefficients b 0, b 1, b 2,... b k of the regression equation: An independent variable with a regression coefficient not significantly different from 0 (P>0.05) can be removed from the regression model (press function key F7 to repeat the logistic regression procedure).
By the way, this is copied from the internet.
What value does the digit 3 represent after 2,734 is multiplied by 1,000?
Answer:30,000
Step-by-step explanation:
Which of the tables represents a function?
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Table A
Table B
Table C
Table D
Answer:
table b i think
Step-by-step explanation:
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: A(3,6) B(11,10)
Line 2: C(-4, 2) D(6, 16)
Parallel, Perpendicular, or Neither:
Answer:
Line 1 : A. Neither B. Parallel__________ Line 2: A. Perpendicular B. Parallel
Step-by-step explanation:
Sorry this was hard to make a picture of it in my head. *Exhausted face* ._.
What is the sum?
8+(-12)
-20
24
4
20
Answer:
-4
Step-by-step explanation:
adding a negative is the same as subtracting a positive
xoxo, your highness...Answer: 24
8 + (-12) = -4
-4 + (-20) = -24
-24 + 24 = 0
0 + 4 = 4
20 + 4 = 24
Lamar is considering two loans.
Loan A
Loan B
Principal
$4,500
$4,300
Interest rate
5%
6%
Time in years
3
3
Which loan will have the lowest total payback?
Loan A will have the lowest total payback because the amount of interest paid is less than the amount of interest paid for loan B.
Loan A will have the lowest total payback because the total of the principal and the interest paid for loan A is less than the same total for loan B.
Loan B will have the lowest total payback because the interest is less than the interest for loan A.
Loan B will have the lowest total payback because the total of the principal and the interest paid for loan B is less than the same total for loan A.
Answer:
4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Help me boys and girls
I'm sure you already have the answers by now, and thanks for the points! I need it...
thanks for the points i hope you don't mind i will venmo
If it takes 5 gallons of gas to drive 125 miles, how many miles can be driven using 8 gallons of gas? (GIVE ONLY NUMERICAL ANSWER)
The average person laughs 15 times per day.
whats the geometric mean of 1/2 and 8
Answer:
4
Step-by-step explanation:
1/2 of 8 is 4