Answer:
a. 34
b. 0
Step-by-step explanation:
you plug the n values as n
note when -n^2, you do this:
[tex]-(2)^{2}[/tex]= -4
so don't mistake it for +4
pay special attention to the signs to solve like:
+ times - is a negative!
Answer:
Simplified Expression a ) 2n^2 + 7n - 5,
Simplified Expression b ) 8n^2 - 11n - 10,
When n = 3 part a ) 34,
When n = 2 part a ) 17,
When n = 3 part b ) 29,
When n = 2 part a ) 0
Step-by-step explanation:
Consider the " simplification " process at hand;
[tex]a ) (5n^2 + 3n -4) + (-3n^2 + 4n -1),\\5n^2+3n-4-3n^2+4n-1,\\5n^2-3n^2+3n+4n-4-1,\\\\Simplified Expression = 2n^2+7n-5[/tex]
[tex]b ) (7n^2 - 5n - 2) - (-n^2 + 6n + 8),\\7n^2-5n-2+n^2-6n-8,\\\\Simplified Expression = 8n^2-11n-10[/tex]
For each part ( a and b ) I removed the ( ) and grouped like elements to receive the simplified expression;
Value of each polonomial;
[tex]a ) 2n^2 + 7n - 5,\\2 * ( 3 )^2 + 7 * ( 3 ) - 5,\\34\\\\2 * ( 2 )^2 + 7 * ( 2 ) - 5\\17[/tex]
[tex]b ) 8n^2 - 11n - 10,\\8 * ( 3 )^2 - 11 * ( 3 ) - 10,\\29\\\\8 * ( 2 )^2 - 11 * ( 2 ) - 10,\\0[/tex]
Each expression was solved through substitution and algebra.
" Simplified " Solution - See in answer above
* I hope the answer wasn't too confusing, for further information look through my response thoroughly
In the 30-60-90 triangle below, side s has a length of ____ and the
hypotenuse has a length of
Answer:
D
Step-by-step explanation:
1×2=2
1×[tex]\sqrt{3}[/tex]=[tex]\sqrt{3}[/tex]
The other leg of right triangle s is √3 units and hypotenuse of the right triangle is 2 units. Therefore, option D is the correct answer.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
In the given right triangle, one of the leg is 1 unit, other leg is s unit and the hypotenuse is h units.
We know that, tanθ=Opposite/Adjacent
So, tan30°=1/s
1/√3 = 1/s
s=√3
We know that, sinθ=Opposite/Hypotenuse
sin30°=1/h
1/2 = 1/h
h=2
Therefore, option D is the correct answer.
Learn more about the trigonometric ratios here:
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Solve x - 3 < -1. Graph the solution.
Answer: x < 2
Explanation: To solve for x in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.
Since 3 is being subtracted from x, we add 3
to both sides of the inequality to get x < 2.
Before we graph, write your answer in set notation.
We can write this as {x: x < 2}.
It's important to understand what this means.
This means that any number less than 2 is a solution to this inequality.
I have graphed the inequality for you below.
Start with an open dot on +2.
We use an open dot because +2 is not included as a solution.
Then draw an arrow going to the left.
The half-life a particular radioactive substance is 6 seconds. If you started with 50 grams of this substance, how much of it would remain after 30 seconds?
Answer:
1.5625g would remain after 30 seconds
Step-by-step explanation:
When we talk about half life, we are talking about the time taken for exactly half of the mass of the radioactive mass in question to have disintegrated.
More like, the amount of time it takes for the radioactive mass to have lost exactly half of its mass
Now, the half life of the substance in question is 6 seconds and we have to calculate the mass that would remain after 30 seconds. What this means is that we would have a disintegration of 5 times, meaning 5 half lives.
Since it is just 5 half lives, we can proceed manually
In the first, we shall have 25g left
in the second, we shall have 12.5g left
In the third, we shall have 6.25g left
In fourth, we shall have have 3.125g left
and finally, in the fifth, we shall have 1.5625g
Reescreva os números que aparecem na forma de notação cientifica.
1- 12.756.000 m
2- 510.072.000km²
3- 5.973.600.000.000.000.000.000.000kg
4- 7.722.522.000
5- 1.350.000.000.000.000.000
6- 361.800.000km²
Answer:
1) [tex]1.276 \times 10^{7}\,m[/tex], 2) [tex]5.101 \times 10^{8}\,km^{2}[/tex], 3) [tex]5.974 \times 10^{24}\,kg[/tex], 4) [tex]7.723\times 10^{9}[/tex], 5) [tex]1.350 \times 10^{18}[/tex], 6) [tex]3.618\times 10^{8}\,km^{2}[/tex]
Step-by-step explanation:
(This exercise is written in Portuguese and for that reason explanation will be held in Spanish, which has strong similarities with that language)
La notación científica presenta el siguiente formato:
[tex]x.y \times 10^{n}[/tex]
Donde:
[tex]x[/tex] - Un dígito entero.
[tex]y[/tex] - Dígitos decimales consecutivos.
[tex]n[/tex] - Grado de potencia.
Para cálculos cotidianos se recomienda el uso de tres decimales consecutivos. A continuación, se presentan los números convertidos a la forma de notación científica:
1) [tex]12.756.000\,m[/tex]
El grado de la potencia es siete (7).
[tex]1.276 \times 10^{7}\,m[/tex]
2) [tex]510.072.000\,km^{2}[/tex]
El grado de la potencia es ocho (8).
[tex]5.101 \times 10^{8}\,km^{2}[/tex]
3) [tex]5.973.600.000.000.000.000.000.000\,kg[/tex]
El grado de la potencia es veinticuatro (24).
[tex]5.974 \times 10^{24}\,kg[/tex]
4) [tex]7.722.522.000[/tex]
El grado de la potencia es nueve (9).
[tex]7.723\times 10^{9}[/tex]
5) [tex]1.350.000.000.000.000.000[/tex]
El grado de la potencia es dieciocho (18).
[tex]1.350 \times 10^{18}[/tex]
6) [tex]361.800.000\,km^{2}[/tex]
El grado de la potencia es ocho (8).
[tex]3.618\times 10^{8}\,km^{2}[/tex]
Let D be the set of all students at GSU students, and let M(s) be 's is a math major," let C(s) be s is a computer science student," and let E(s) be "s is an engineering student." Express each statement using quantifiers, variables, and the predicates M(s), C(s), and E(s). a. No computer science students are engineering students. b. Some computer science students are also math majoers.
Answer:
Step-by-step explanation:
Recall the logic quantifiers [tex]\forall, \exists[/tex] which means for all/for every and exists.
a) This means that for every student in D that is a computer science this implies that the student is not an engineering student. So for a student s in D such that C(s) then E(s) is false. This is symboled by
[tex]\forall s \in D C(s) \implies \neg E(s)[/tex]
b) By saying "some computer science students" this means that there exists some studenst that study computer science and are also math majors. This is symboled by
[tex]\exists s \in D C(s)\land M(s) [/tex]
Solve the system of equations. –6x + y = –21 2x − 1 3 y = 7 What is the solution to the system of equations? (3, 3) (2, –9) infinitely many solutions no solutions
Answer:
[tex]y = - 15 \\ x = - 94[/tex]
Step-by-step explanation:
it's not both of dem
The solution to the system of equations is x= −133/ 40 and y= −21/ 20
What is a system of equations?A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one.
6x+ y= -21 is equation (1)
2x - 13y= 7 is equation (2)
Solve 6x+y=−21 for y:
6x+y=−21
6x+y+−6x=−21+−6x
y=−6x−21
Substitute −6x−21 for y in 2x−13y=7:
2x−13y=7
2x−13(−6x−21)=7
80x+273=7
Now Simplify both sides of the equation;
80x+273+−273=7+−273
Add -273 to both sides
80x=−266
x= −133/ 40
y=−6x−21
y=−6( −133 /40 )−21
y= −21/ 20
Hence x= −133/ 40 and y= −21/ 20
learn more about system of equations here;
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Let f(x) = .............
Answer:
4
Step-by-step explanation:
g(3) = -2(3)^2 -4 = 2(9) -4 = 18-4 = 14
|f(2)| = | 2^2 -3| = | 4-3| = 1
(g(3) +2) = (14+2) = 16
4* |f(2)| = 4*1 = 4
16/4 = 4
HELP! Which of the following are interior angles in the figure below? PLEASEEE!!!!! URGENT dont need to explain
a square rug has a perimeter of 64 cm. george says the side lenght of the square is 8cm . bob thinks it is 16cm. who is correct ?
Answer:
16 cm
Bob is correct
Step-by-step explanation:
Perimeter of a square = 4 × side’s length
Then
the side length = 64/4 = 16
Answer:
perimeter of square =4l
64/4cm=l
l=16cm
therefore
bob is correct.
What is 12 1/4`÷7/8
Answer:
14
Divide
12 and 1 over 412
1
4
÷ 7 over 8
7
8
= 392 over 28
392
28
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
12 and 1 over 412
1
4
= ( 12 × 4 ) over 4
12 × 4
4
+ 1 over 4
1
4
= ( 48 + 1 ) over 4
48 + 1
4
= 49 over 4
49
4
Step 1 of 2: Divide, sub-step b: Divide.
Divide
49 over 4
49
4
÷ 7 over 8
7
8
= 49 over 4
49
4
× 8 over 7
8
7
= ( 49 × 8 ) over ( 4 × 7 )
49 × 8
4 × 7
= 392 over 28
392
28
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.Divide
12 and 1 over 412
1
4
÷ 7 over 8
7
8
= 392 over 28
392
28
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
12 and 1 over 412
1
4
= ( 12 × 4 ) over 4
12 × 4
4
+ 1 over 4
1
4
= ( 48 + 1 ) over 4
48 + 1
4
= 49 over 4
49
4
Step 1 of 2: Divide, sub-step b: Divide.
Divide
49 over 4
49
4
÷ 7 over 8
7
8
= 49 over 4
49
4
× 8 over 7
8
7
= ( 49 × 8 ) over ( 4 × 7 )
49 × 8
4 × 7
= 392 over 28
392
28
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.
NEED HELP SOON! What is the value of x? x + StartFraction 4 Over 9 EndFraction = three-fourths StartFraction 11 Over 36 EndFraction One-third 1 and StartFraction 11 Over 16 EndFraction 1 and StartFraction 7 Over 16 EndFraction
Answer:
x=11/36
Step-by-step explanation:
1. Move the 4/9 to the right side to isolate valu e"x."
2. Create a common denominator between "4/9" and "3/4"
3. Your equation should look like this;
x=3/4-4/9
x=27/36-16/36
x=11/36
Answer:
11/36
Step-by-step explanation:
all work is in the image below!
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.
What is the median of the data? *
Answer:
15
Step-by-step explanation:
First you have to order the numbers from least to greatest
13, 13, 15, 20, 24
Then you find the value in the middle.
You have five numbers so your middle value is the number between the the two numbers on the left and the two numbers on the right which is 15.
I need the answer please
Answer:
AC=22
AB=11
BC=33
Step-by-step explanation:
[tex]2(3x - 4) = 2x + 12 [/tex]
6x-8=2x+12
12+8=6x-2x
20=4x
x=5
∴AC=2(5)+12=22
∴AB=3(5)-4=11
∴BC=7(5)-2=33
What is the next term in the following set of numbers: {1,3,7,15,31,...? a. 63 b. 47 c. 39 d. 35 e. Other:
Answer:
[tex]63[/tex]
Step-by-step explanation:
[tex]1 + 2^1 = 3\\3 + 2^2 = 7\\7 + 2^3 = 15\\15 + 2^4 = 31\\31 + 2^5 = 63[/tex]
the two polygons shown are similar what is the correct similarity statement
Answer:
The middle choice
Step-by-step explanation:
The first figure starts on the upper right corner and goes around from A to B to C to D.
So the smaller figure should do the same thing. It should start from the upper right (S) and go through T U V. Which it does.
Answer:
Determine whether each pair of polygons is similar
Step-by-step explanation:
Similar Polygons: 2 Polygons are similar if and only if their corresponding angles are congruent & Corresponding sides are proportional. hope this helps you :)
You are considering a certain telephone company. They charge $0.17 per minute of talking, plus a fixed base monthly fee of $40 . If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C ?
Answer:
C = 40 + 0.17M
Step-by-step explanation:
Total monthly charge = Fixed base fee + charge per minute*total number of minutes
C = 40 + 0.17*M
C = 40 + 0.17M
What is the y-intercept of the line described by the equation y=3x+5
Answer:
[tex]5[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
Where [tex]b[/tex] is the y-intercept.
[tex]y=3x+5[/tex]
[tex]b=5[/tex]
Answer:
-3 is the slope
5 is the intercept
i need help on this asap
Answer: optiond solve the values to get the answer
Best of luck for the test
A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the surface area of the box in terms of length only
Answer:
[tex]\dfrac{2s^3+136}{s}[/tex]
Step-by-step explanation:
Let the side length of the square base =s feet
Let the height of the box = h
Given that the volume of the box = [tex]34$ ft^3[/tex]
Volume of the box =[tex]s^2h[/tex]
Then:
[tex]s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}[/tex]
Surface Area of a Rectangular Prism =2(lb+bh+lh)
Since we have a square base, l=b=s feet
Therefore:
Surface Area of our closed box[tex]= 2(s^2+sh+sh)[/tex]
[tex]S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}[/tex]
anyone can help me figure this out ?
Answer:
The inverse is 1/4x
Step-by-step explanation:
f(x) = 4x
y = 4x
Exchange x and y
x = 4y
Solve for y
Divide each side by 4
1/4x = 4y/4
1/4x = y
The inverse is 1/4x
Answer:
y=(1/4)*x
Step-by-step explanation:
to inverse set f(x)=4x
as y=4x
next, change places y and x
4y=x
now, solve for y
4y=x
y=(1/4)*x
PLZ HELP FAST!!! WILL GIVE BRAINLIEST!!! The linear function graphed below represents Tim’s age in the years since he was married. Which of these statements is correct? PLZ HELP FAST!!!
Answer:
C) The initial value is 32, and the rate of change is 1.
Step-by-step explanation:
This is the correct answer for edge
What word phrase can you use to represent the algebraic expression 7x?
Answer:
7 times x
Step-by-step explanation:
When the expression is seen, we can say that it displays 7 times x.
On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0). What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to –2 all real numbers greater than or equal to –5 all real numbers greater than or equal to 0
Answer:
Domain of the given function is all real numbers i.e. R.
Step-by-step explanation:
It is given that the given graph is a V shaped graph.
It is crossing x - axis at [tex](-2,0)[/tex]
then y-axis at [tex](0,-2)[/tex] and
then again x - axis at [tex](2,0)[/tex].
If we try to plot the graph, the graph will be like it comes down from the negative x axis side and then intersect x axis at [tex](-2,0)[/tex], then intersects y axis at [tex](0,-2)[/tex] and then rises towards the right side (i.e. positive x axis) intersecting the positive x axis at [tex](2,0)[/tex].
Please find attached graph for the same.
This graph denotes the following function:
[tex]y=f(x)=|x|-2[/tex]
Domain of a function [tex]y =f(x)[/tex] is the values of [tex]x[/tex] that can be provided to the function.
Here function is a modulus function and from graph we can easily infer that it can have any Real Number, R as its input.
Modulus function has R as its domain.
So, the answer is:
Domain of given function is all Real Numbers, R
Answer:
A on edg. all real numbers
Step-by-step explanation:
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
so the answer is f, the last one
A jar contains 4 pink, seven red, and 3 orange marbles. If you pick one without looking, what is the probability that the marble you pick will be neither pink nor red?
show work pls tnx!
Answer:
3/14
Step-by-step explanation:
There’s 14 marbles total and only 3 are orange
the rocket ship will travel 2.1 x 10y. what is the value of y in the solution
Answer:
47
Step-by-step explanation:
Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify. 5/5+√10x
Answer:
The equivalent fraction is: [tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]
which agrees with the second answer in the list of options
Step-by-step explanation:
Recall that in order to rationalize a denominator of this type (remove the square roots), we need to multiply numerator and denominator of the fraction we have by the conjugate of the binomial. That is, multiply top and bottom of the fraction by the expression:
[tex]5-\sqrt{10\,x}[/tex]
Therefore we have:
[tex]\frac{5}{5+\sqrt{10\,x} } =\frac{5\,(5-\sqrt{10x} )}{(5+\sqrt{10\,x})\,(5-\sqrt{10x})} =\frac{5\,(5-\sqrt{10x} )}{(25-10x)} }=\frac{5\,(5-\sqrt{10x} )}{5\,(5-2x)} }=\frac{5-\sqrt{10x} }{5-2x} }[/tex]
Then this is the equivalent rationalized expression:
[tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]
Answer:
B.
Step-by-step explanation:
A P E X
En una granja se observa que por 12 patos hay 5 gallinas, por tres gallinas hay 8 pavos ;por 10 pavos hay 9 cerdos. ¿A cuantos patos equivalen 7 cerdos?
Answer:
7 ducks equals 7 pigs.
Step-by-step explanation:
English Translation
On a farm it is observed that for 12 ducks there are 5 chickens, for three chickens there are 8 turkeys, for 10 turkeys there are 9 pigs. How many ducks equals 7 pigs?
Solution
For 12 ducks, there are 5 chickens
12 ducks = 5 chickens
For 3 chickens, there are 8 turkeys
3 chickens = 8 turkeys
For 10 turkeys, there are 9 pigs
10 turkeys = 9 pigs
We first need to create a direct relationship between ducks and pigs to know how many ducks are equivalent to 7 pigs.
9 pigs = 10 turkeys
8 turkeys = 3 chickens
10 turkeys = (10×3/8) chickens = 3.75 chickens
Hence, 9 pigs = 10 turkeys = 3.75 chickens
9 pigs = 3.75 chickens.
12 ducks = 5 chickens
5 chickens = 12 ducks
3.75 chickens = (3.75×12/5) ducks = 9 ducks.
9 pigs = 3.75 chickens = 9 ducks
9 pigs = 9 ducks.
Hence, 7 pigs = 7 ducks too.
Hope this Helps!!!
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$___
Answer:
$4
Step-by-step explanation:
Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!
