Answer:
[tex]=-3[/tex]
Step-by-step explanation:
[tex]\left(-3\right)^3+\left(-4\right)^2-\left(-2\right)^3\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:exponents}\:\left(-3\right)^3\::\quad -27\\\left(-3\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-3\right)^3=-3^3=-27\\=-27+\left(-4\right)^2-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-4\right)^2\::\quad 16\\\left(-4\right)^2[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}\\\left(-4\right)^2=4^2=16\\=-27+16-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-2\right)^3\::\quad -8\\\left(-2\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-2\right)^3=-2^3=-8\\=-27+16-\left(-8\right)\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-27+16-\left(-8\right)\::\quad -3\\-27+16-\left(-8\right)[/tex]
[tex]-27+16=-11\\=-11-\left(-8\right)\\\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\-\left(-8\right)=+8\\=-11+8\\-11+8=-3\\=-3[/tex]
5 Write the first five terms of the sequence with nth term.
a 4n
b 2n+1
c 3n -2
d 1/2n +1
e 20 -5n
f -2n +3
Answer:
its a lot u'll see at the end
Step-by-step explanation:
a) 4n = 4,8,12,16,20
b) 2n+1= 3,5,7,9,11
c) 3n-2= 1,4,7,10,13
d) 1÷2n+1= [tex]\frac{3}{2}[/tex], [tex]\frac{5}{4} ,\frac{7}{6} ,\frac{9}{8} ,\frac{11}{10} ,[/tex]
e) 20-5n= 15,10,5,0,-5
f) -2n+3= 1,-1,-3,-5,-7
took me a while hope it is helpful
What is the value of x?
Answer:
x = 20
Step-by-step explanation:
The angles are vertical angles and we know that vertical angles are equal
x+40 = 3x
Subtract x from each side
x+40-x = 3x-x
40 = 2x
Divide each side by 2
40/2 = 2x/2
20 =x
Answer:
The value of [tex]x[/tex]:
[tex]x = 20[/tex]
Step-by-step explanation:
-Since, one angle with the measure [tex]x + 40[/tex] and another angle with measure [tex]3x[/tex] are vertical angles, they equal each other. So, it will be written as:
[tex]x + 40 = 3x[/tex]
-After you have formed an equation, you switch the equation and you solve for the value of [tex]x[/tex]:
[tex]x + 40 = 3x[/tex]
[tex]x - x + 40 = 3x -x[/tex]
[tex]40 = 2x[/tex]
[tex]\frac{40}{2} = \frac{2x}{2}[/tex]
[tex]20 = x[/tex]
So, the final answer is [tex]20 = x[/tex] or [tex]x = 20[/tex] (They are both the same, you just switch them).
The figure shows five points. A point has been translated right and up.
Based on the graph, which statements about the points could be true? Check all that apply.
1. Point D could be the image of B.
2. Point C could be the image of A.
3. Point E could be the image of C.
4. Point D could be the image of A.
5. Point E could be the image of B.
6. Point C could be the image of E.
Moving to the right and up, the only two points that could be placed in another point would be C or B
The answer would be 6. point C could be the image of E
Answer:
im confident the answer is A C E
Step-by-step explanation:
A line goes through the origin and the point (6, 14). The point (2, y) is also on the line. Calculate y and justify that your value is correct
Answer:
Step-by-step explanation:
The key here is knowing that the equation of the line that passes through these points is same
Thus having (6,14) and (0,0), the slope is as follows;
m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3
Now we can use this slope here to get the value of y in the question
All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)
That would be;
7/3 = y-14/1-6
7/3 = y-14/-5
cross multiply;
-35 = 3(y-14)
-35 = -3y + 42
-3y = -35-42
-3y= -77
y = -77/3
y = 77/3
You have $6 and earn $0.50 for each cup of orange juice you sell. Write an equation in two variables that represent the total amount A (in dollars) you have after selling j cups of orange juice.
A=
Can you help me plz ASAP
Answer:
A = 0.50j + 6.......u r correct
he started with 6....and he is selling each cup (j) for 0.50
so lets say he sold 10 cups...u would sub in 10 for j
A = 0.50(10) + 6
A = 5 + 6
A = 11......and he would have $ 11
The units of the subway map below are in miles. Suppose the routes between stations are straight, find the distance you would travel between the Jackson and Symphony stations.Write your answer to the nearest tenth of a mile.
Answer:
Distance between Jackson and Symphony stations is 2.2 miles.
Step-by-step explanation:
From the given map,
Location of two stations can be represented by the ordered pairs Jackson(2, 4) and Symphony(1, 2)
Every unit of the map represents the distance of 1 mile.
Distance between two points is measured by the formula,
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Therefore, distance between the given stations will be,
d = [tex]\sqrt{(2-1)^2+(4-2)^2}[/tex]
= [tex]\sqrt{1+4}[/tex]
= [tex]\sqrt{5}[/tex]
= 2.236
≈ 2.2 miles
Distance between Jackson and Symphony stations is 2.2 miles.
How fast was the container being filled?
Answer:
Between the 10- and 20- second marks
Step-by-step explanation:
in the first half of filling the container it started at 0- 10 and the points goes further to 30 which is 10 plus 20 equals to 30, which is between the 10- and 20- second marks.
Please help! Correct answers only!
There is a raffle with 200 tickets. One ticket will win a $550 prize, one ticket will win a $510 prize, one ticket will win a $280 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " = $ 6.70
Step-by-step explanation:
Consider the steps below;
[tex]Probability of Winning the 550 Dollar Prize - 1 / 200,\\Probability * Money Won = " Expected Payoff " For The 550 Dollar Prize,\\\\1 / 200 * 550,\\" Expected Payoff " - 2.75 Dollars,\\\\Probability of Winning the 510 Dollar Prize - 1 / 200,\\\\1 / 200 * 510,\\" Expected Payoff " - 2.55 Dollars,\\\\Probability of Winning the 280 Dollar Prize - 1 / 200,\\\\1 / 200 * 280,\\" Expected Payoff " - 1.4 Dollars,\\\\[/tex]
[tex]Conclusion ; Expected Payoff = 6.70 Dollars[/tex]
x:28=1:8
Whats the answer eh
Answer:
Step-by-step explanation:
We can setup the equation as
x/28 = 1/8
Cross multiplying we get
8x = 28
Dividing by 8 we get
x = 28/8 = 7/2
Hey everyone! Please help me figure this out...
Answer:
See below
Step-by-step explanation:
0.82=82/100=82%
22%=22/100=0.22
3/4=0.75=75/100=75%
0.8=0.80=80/100=80%
Hope this helps!
Answer:
column 2: 41/50, 0.82, 82%
column 3: 11/50, 0.22, 22%
column 4: 3/4, 0.75, 75%
column 5: 4/5, 0.80, 80%
Please help! Correct answer only please! I need to finish this assignment by today.
At a T-shirt stand on the boardwalk, 7 of the last 14 shirts sold were green. What is the experimental probability that the next shirt sold will be green?
Simplify your answer and write it as a fraction or whole number.
P(green) =
Answer:
1/2 or 0.5
Step-by-step explanation:
since 7 out of 14 shirts sold were green, the probability would be 7/14. but since you need to simplify, it will be 1/2 or 0.5
Answer:
1/2
Step-by-step explanation:
Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this helps!
A function is defined by f (x) = 5 (2 minus x). What is f(–1)? –5 5 15
Answer: 15
Step-by-step explanation: 2 minus negative 1 is the same as 2+1. 2 plus 1 is 3 and 5 times 3 is 15. Therefore, 15 is your answer.
Answer:
15
Step-by-step explanation:
took the test on EDGE
If a student with 2 absences got a score of 12 what would be the score for a student who had 3 absences
What is the 3rd terms of the sequence:
f(1)=-3, f(n)= f(n-1)+5
Answer:
f(3) = 7
Step-by-step explanation:
Using the recursive formula and f(1) = - 3 , then
f(2) = f(1) + 5 = - 3 + 5 = 2
f(3) = f(2) + 5 = 2 + 5 = 7
Which procedure justifies whether Negative 3 x (5 minus 4) + 3 (x minus 6) is equivalent to Negative 12 x minus 6? The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (2) minus 6 = negative 30. The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (3) minus 6 = negative 42. The expressions are equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (negative 2) minus 6 = 18. The expressions are equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (1) minus 6 = negative 18.
Answer:
The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30
Step-by-step explanation:
Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).
To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.
Substituting 2 to the first expression gives:
-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18
Substituting 2 to the second expression gives:
-12(2) - 6 = -24 - 6 = -30
Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.
The correct procedure that justifies their equality is the expressions are equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(1)-6=-18
Expressions and valuesEquations are written by equating two expressions
Given the following equation -3x(5-4)+3(x-6)
Expand
-15x + 12 + 3x - 18
Collect the like terms
-15x + 3x + 12 - 18
-12x - 6
Hence the correct procedure that justifies their equality is the expressions are equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(1)-6=-18
Learn more on equations here: https://brainly.com/question/2972832
#SPJ5
I WILL GIVE YOU BRAINLIEST!!!!!
Answer: C
Step-by-step explanation:
If you look at the patterns in the table, you will notice that y is always the square of x. So y = x^2 (C)
Answer:
c
Step-by-step explanation:
When you multiply any negative number by any power the answer is the same as the positive of that number.Just make sure you put it in like this into the calculator:
[tex](-4)^{2}[/tex]
Help im still lazy lol
Answer:
t= -105
Step-by-step explanation:
To solve the equation, we want to find out what t is. In order to do this, we have to get t by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
-1/15t=7
t is being multiplied by -1/15. The opposite of multiplication is division. Divide both sides by -1/15.
-1/15t/-1/15=7/ -1/15
t=7/ -1/15
Instead of dividing a number by a fraction, you can multiply the number by the reciprocal of the fraction.
To find the reciprocal, flip the numerator (top number) and denominator (bottom number).
-1/15--flip--> -15/1=-15
Substitute -15 in for -1/15, and switch the division sign to a multiplication sign.
t= 7* -15
t=-105
Let's check out solution. Plug -105 back in for t in the original equation.
-1/15t=7
-1/15*-105=7
7=7
Both sides are the same, so we know that t=-105.
Answer:
t=-105
Step-by-step explanation:
[tex]-\frac{1}{15} t =7[/tex]
What we need to do here is to isolate t.
Let's multiply both sides by -15.
[tex]-\frac{1}{15}t * -15 = 1t[/tex]
7*-15= -105
t=-105
Factorise 20x+25
thankful for the help
Answer:
5(4x + 5)
Step-by-step explanation:
Given
20x + 25 ← factor out the common factor 5 from each term
= 5(4x + 5)
Answer:
5(4x+5)
Step-by-step explanation:
divide both with the same number into smallest digit
eg: 5(4x+5)=20x+25
if 5x4=20 and 5x5=25
both can be divided by 5 to get smallest number(factorise it)
Can you explain the example 4 pls
Answer:
x = -3/4
Step-by-step explanation:
15/4 - 7x = 9
When solving these types of equations, you want to isolate the variable
Subtract 15/4 from both sides to get
-7x = 21/4
Divide both sides by -7 to get
x = -3/4
Answer:
x = -3/4
Step-by-step explanation:
Which expression has the least value?
A. 3(33)
B. 0 31-33)
C. 0-31-33)
D. 3(3-3)
Answer:
I think it is C but can't be sure because B isn't clear.
Step-by-step explanation:
HELP PLEASE WITH THE IMAGE BELOW it would mean a lot if someone helped me answer this question and maybe even explain how you got it.
Answer:
65/97 = 0.67
Step-by-step explanation:
using trigonometric ratios
Cosine of angle = [tex]\frac{adj}{hyp}[/tex]
What is the average rate of change from x = −1 to x = −2?
Answer:
Step-by-step explanation:
this graph is probably : 2(x+1)^(2)+5:
it was transformed :
vertically stretched by a factor of 2
left 1 unit
up 5 units
from the graph, we can see that the points are (-1, 5) and (-2, 7)
m=(y2-y1)/(x2-x1)
m=(7-5)/(-2-(-1))
m=2/-1
m=-2
PLEASE HELP ME WITH THIS IT'S TIMED I WILL GIVE BRAINLIEST-
1. A right triangle has side lengths 15 centimeters, 20 centimeters, and 25 centimeters. How can you use the Pythagorean Theorem to write an equation the describes how the side lengths are related?
2. How do you know that the geometric proof of the Pythagorean Theorem in question 1 can be applied to all right triangles?
Step-by-step explanation:
1)
In a right triangle longest side is hypotenuse and the remaining two sides represent the perpendicular legs.
Hence, from the given question it is obvious that 25 is hypotenuse and 20 and 15 are perpendicular legs.
Now, by Pythagorean theorem:
[tex] (one\: side) ^2 +(other \: side) ^2 = (hypotenuse) ^2
\\\\\therefore 20^2 +15^2 =25^2[/tex]
2)
Because all right triangles have one hypotenuse and two perpendicular legs.
turn 3/25 to standard form
Answer:
1.2 x 10^-1 or 12x10^-2
the two-way table shows the attendant careers among the incoming class of first-year college students, divided by gender. If a female student is chosen at random, what is the probability that she intends to be a research scientist?
Answer: 4.64%
[tex]\dfrac{\text{female research scientist}}{\text{female total}}=\dfrac{103}{2219}=0.0464\quad =\large\boxed{4.64\%}[/tex]
plz hurry and answer i will give brainliest
what is 2*2+6/2*3
Answer:
This would equal 13.
2x2=4, 6/2=3, 3x3=9, 9+4=13
Alex, Stephen and Bridget share some sweets in the ratio 4:1:1. Alex gets 36 sweets. How many sweets are there altogether?
Answer:
There are 54 total sweets
Step-by-step explanation:
Alex: Stephen : Bridget : total
4: 1 : 1 : 4+1+1 = 6
Alex gets 36
36/4 = 9
Multiply each number by 9
Alex: Stephen : Bridget : total
4*9: 1*9 : 1*9 : 6*9
36: 9 : 9 : 54
There are 54 total sweets
What is the domain of y=4[x+2]
Answer:
[tex]-\infty \:<x<\infty \:\\or\\\left(-\infty \:,\:\infty \:\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Domain\:of\:}\:4\left(x+2\right)\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Please answer this correctly
Answer:
4:45p.m
Step-by-step explanation:
40+40+35
divide by 60
you round to get 1hour and 50min
add it to 3:05
Answer:
5:00 PM
Step-by-step explanation:
She got home at 3:05 PM
--> played video games for 40 mins --> 3:45 PM
--> cleaned the kitchen 40 mins --> 4:25 PM
--> Actuall HW 35 ins --> 5:00 PM
5:00 PM
I NEED HELPPPPP!!! Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30 . what is the measure of the third angle?
The answer is The third angle measures 120 degrees
Step-by-step explanation:
I know this because a triangle has angle sum of 180 and so if you know two of the sides then you can add them together; 30+30 = 60 then substract it from 180; 180-60 and that would equal 120 degrees.
