Answers
Related Questions
Select the correct product. (x^2+4)(x^2-4)
1. X^4-16
2. X^4+16
3. X^2+8x+16
4. X^2-8x-16
Answers
Answer:
[tex] ({x}^{2} + 4 )( {x}^{2} - 4) \\ 1)( {x}^{2} - 16) \\ = (x - 4)(x + 4) \\ 2)( {x}^{2} + 16) \\ = (x - 4)(x + 4) \\ 3) {x}^{2} + 8x + 16 \\ {x}^{2} + (4 + 4)x + 16 \\ {x}^{2} + 4x + 4x + 16 \\ x(x + 4) + 4(x + 4) \\ (x + 4)(x + 4) \\ 4) {x}^{2} - 8x - 16 \\ {x}^{2} - (4 + 4)x - 16 \\ {x}^{2} - 4x + 4x - 16 \\ x(x - 4) + 4(x - 4) \\ (x - 4)(x + 4)[/tex]
It is simply a hard version of the difference between two squares
measured the volume of an object and recorded it as 46 cubic cm
which was 15% high from the actual volume. Find the actual volume.
Answers
Answer:
[tex]40\ cm^3[/tex]
Step-by-step explanation:
Let the actual volume is V.
The measured volume of an object is 46 cubic cm which was 15% high from the actual volume.
According to the given condition,
[tex]V+\dfrac{15V}{100}=46\\\\\dfrac{115V}{100}=46\\\\V=\dfrac{4600}{115}\\\\V=40\ cm^3[/tex]
So, the actual volume was [tex]40\ cm^3[/tex].
Can someone help me with this math homework please!
Answers
Answer:
First dropbox: 7h + 43 = 64
Second dropbox: $3
Step-by-step explanation:
Here's what we know about the question so far:
$43 is the initial fee
The rototiller worked for 7 hours
$64 is the total cost (including initial fee)
h = hourly fee
The answer should be 7h + 43 = 64 because:
- It includes the initial fee of $43
- It sets the equation equal to $64, which is the total cost
- The hourly fee is being multiplied with 7 hours, which is correct since the h variable is hourly (not sure how to explain this part ;w; )
For the 2nd drop box, we will use basic algebra to solve for h:
7h + 43 = 64
(subtract both sides by 43)
7h = 21
(divide both sides by 7)
h = 3
There's your 2 answers!
Hope it helps (●'◡'●)
− 0.32 + 0.18 = 0.25 − 1.95
Answers
Answer:
Step-by-step explanation:
0.18-0.32 = .25-1.95
-0.14 = 1.70
obviously that equation above is not true, I suspect that there were some "x" variables on some of those numbers?
BRAINlIEST FOR CORRECT ANSWER
Answers
Answer:
ok
Step-by-step explanation:
mark me the brainlieast since your question is incomplete
Helpppp ,I will mark you brainlist
Answers
Answer:
Okay
Step-by-step explanation:
What is y?
[tex]8^{y+2}=\frac{2^4}{4^{2y}}[/tex]
Can someone please explain to me in details and show me the steps TvT?
Answers
Answer:
y = -2/7
Step-by-step explanation:
8^(y+2) = 2^4/4^(2y)
you want to on both sides so you can solve for the exponents
8= 2^3
4= 2^2
2^3y+6 = 2^4/2^(4y)
2^(3y+6) = 2^(4-4y)
3y + 6 = 4 - 4y
7y = -2
y = -2/7
If f(a) is an exponential function where f(-3) = 18 and f(1) = 59, then find the
value of f(0), to the nearest hundredth.
Answers
Given:
For en exponential function f(a):
[tex]f(-3)=18[/tex]
[tex]f(1)=59[/tex]
To find:
The value of f(0).
Solution:
The general form of an exponential function is:
[tex]f(x)=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth/ decay factor.
We have, [tex]f(-3)=18[/tex]. Substitute [tex]x=-3,f(x)=18[/tex] in (i).
[tex]18=ab^{-3}[/tex] ...(ii)
We have, [tex]f(1)=59[/tex]. Substitute [tex]x=1,f(x)=59[/tex] in (i).
[tex]59=ab^{1}[/tex] ...(iii)
On dividing (iii) by (ii), we get
[tex]\dfrac{59}{18}=\dfrac{ab^{1}}{ab^{-3}}[/tex]
[tex]3.278=b^{1-(-3)}[/tex]
[tex]3.278=b^{4}[/tex]
[tex](3.278)^{\frac{1}{4}}=b[/tex]
[tex]1.346=b[/tex]
Substituting the value of b in (iii).
[tex]59=a(1.346)^1[/tex]
[tex]\dfrac{59}{1.346}=a[/tex]
[tex]43.83358=a[/tex]
[tex]a\approx 43.83[/tex]
The initial value of the function is 43.83. It means, [tex]f(0)=43.83[/tex].
Therefore, the value of f(0) is 43.83.
A garden store pays $85 for a planter. The percent of markup is 35%. What is the selling price of the planter
Answers
Answer:
Step-by-step explanation:
To get the selling price.
Selling price=100÷ 100-x × 85
Where x is the markup.
Sp= 100 ÷ 100-35× 85
Sp= 100÷ 65×85
Sp= $130.7692
CUALES SON LOS GRADOS PARA HACER UNA GRAFICA DE PASTEL, CON LOS SIGUIENTES PORCENTAJES( 20%,50%,10%)
Answers
Answer:
Lo primero que debemos saber, es que la gráfica de pastel nos permite dividir a una población, la cual sería el 100%, en porcentajes menores que representan algo.
En este caso tenemos los porcentajes 20%, 50%, 10% (notar que no suman 100%, entonces nos falta algún porcentaje)
Bueno, como sabemos el gráfico (el cual es un círculo) representa el 100%.
Y en un círculo, tenemos un ángulo de 360°
Entonces comenzamos con la equivalencia:
360° = 100%
Entonces, ¿a que grado corresponde el 50%? Planteamos la ecuación:
x = 50%
Si tomamos el cociente entre las ecuaciones:
x = 50% y 360° = 100%
obtenemos:
x/360° = 50%/100%
resolviendo para x, obtenemos:
x = (50%/100%)*360° = 0.5*360° = 180°
Para los otros porcentajes hacemos lo mismo.
Para el de 20% tenemos:
y = 20%
planteamos la ecuación:
y/360° = 20%/100%
y = 0.2*360° = 72°
Finalmente, para el de 10% tendremos:
z = 10%
planteando la ecuación como antes:
z/360° = 10%/100%
z = 0.1*360 = 36°
Asi, hemos encontrado los grados correspondientes para cada porcentaje.
Between the numbers 15/20 and 35/40 , the greater number is
a. 15/20 b. 20/15 c. 35/40 d. 45/30
Answers
Answer:
35/40
Step-by-step explanation:
To compare, both denominator should be same.
[tex]\frac{15}{20}=\frac{15*2}{20*2}=\frac{30}{40}\\\\\\\frac{30}{40} \ < \ \frac{35}{40}\\\\\\\frac{15}{20} \ < \ \frac{35}{40}[/tex]
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
⠀the numbers 15/20 and 35/40⠀⠀⠀[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
⠀⠀⠀⠀
the greater number is[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
we have to find the greater number between 15/20 and 35/40
To do this,
we have to compare the denominator same.
[tex]\sf{\dfrac{35}{40}=\dfrac{35×1}{40×1}=\dfrac{35}{40} }[/tex] [tex]\sf{\dfrac{15}{20}=\dfrac{15×2}{20×2}=\dfrac{30}{40} }[/tex]According to the question,
we have to find the greatest one
[tex]\sf{\dfrac{35}{40} > \dfrac{30}{40} }[/tex] [tex]\sf{\dfrac{35}{40}>\dfrac{15}{20} }[/tex][tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
⠀⠀
[tex]\therefore\mathrm{\dfrac{35}{40} > \dfrac{15}{20} }[/tex]
⠀⠀
(14) (55, 42, 32, 48, 55, x), mean = 49
Answers
Answer:
78
Step-by-step explanation:
Add all the numbers given =256 then take the mean and multiply it with 7 =334 then take 334_256=78 and done
How do relational databases work mathematically?
Answers
Answer:
A relational database stores data in a series of tables so that the data models a mathematical theory of relations. The model allows for queries based on projection, selection, and join, among other operations, and connects the data in the tables by way of keys.
Answer:
Well, I guess in a formal sense you could call relational algebra a type of logic, which puts it into the realm of ‘math’, though I don’t think most mathematicians would look at it as being a very significant area, more ‘applied logic’ than anything else.
That being said, relational algebra DOES present some formalisms in the shape of relations, tuples, normalizations, and denormalization, etc. There is also a model of sequential operations and thus the underpinnings of the ACID database concept.
Since the overwhelming primary use of RA has been as a way to structure our ideas about SQL RDBMSes there isn’t really a lot of deep theory there. I don’t think anyone has really built any other models of RA beyond an RDBMS. There have been limited non-SQL RDBMS implementations, but AFAIK none of them are really actively maintained today.
Match each percent with the fraction or decimal equivalent. 5% 0.25 15% 0.07 6.5% 1 20 25% 0.065 7% 3/20
Answers
Answer:
5% = 1/20
15% = 3/20
6.5% = 0.065
25% = 0.25
7% = 0.07
Step-by-step explanation:
I hope this helps! Just ask me if you have any questions.
Have a nice dayy! :)
Answer:
.05 25% .15 7% .065 100% 2000% .25
Step-by-step explanation:
Percentages to decimals :
example
5% = .05
First remove the % sign: 5
Where is the decimal? Here : 5.00
Now move the decimal to the left two places. Fill the gaps with zeros : .05
Another way to do it is by divide the number by 100. Use a calculator if necessary.
Example 2: 6.5%
Move decimal two places to left: .065
Example 3: .56%
Move decimal to places to the left: .0056
Decimals to percentages. Do the exact opposite. Move decimal to places to the right then add the % sign.
Example: .25 becomes 25%
.07 becomes 07% or just 7%
A) { -3 , -1 , 1, 3 , 6 }
B) { 3, -1 , 2, 0, -2}
C) all real numbers
D) {3,-2,-1,0,1,2,3,4,5,6,7,8}
Answers
Domain is always the X input or left side of a relation. Range is Y/ f(x) input or right side of a relation
Find the measure of the angle indicated.
1
2
4
3
151°
6
8
7
The measure of angle 7 is
Answers
............................
...............................................................................................................................................................................................................................................................................................................
yeaaaaaaaaaa help plzzzzzzzzzz
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
The attached graph
Required
Point on the line
The options are not given. So, I will provide general answers.
To do this, we simply write out the coordinates that lie on the line.
Some of them are:
[tex](0.5,3)[/tex]
[tex](1.25,8)[/tex]
[tex](1.5,10)[/tex]
What is the next term in the sequence below?
-324,108,-36,12
Answers
Answer:
-4
Step-by-step explanation:
bc it is
.......................
Зу = х - 9
y = -x + 1
Using the graphing method, which of the following choices is the solution of the system?
A=(-3 ,-2)
B=(3 ,-2)
C= Infinite solutions
D= No solutions
Answers
Answer:
did i got it correct if yes follow plz
used a graphing tool to, well, graph it
see the solution in the screenshot, it's the point where the two lines intersect
given g(x) = square root of x - 4 and h(x) = 2x - 8 What is g(h10))?
Answers
Step-by-step explanation:
First find h(10)
h(10)=2(10)-8
h(10)=12
Now plug in 12 as the value of x in g(x) ie.g(12)
So g(12)=√12-4=√8=2√2
hello can you help me with this?
Answers
Answer:
x = 25.5
Step-by-step explanation:
suppose RS and MQ are parallel the sum of angle MRS and RMN would be 180 degrees
2x + x + x 78 = 180 add like terms then subtract 78 from both sides
4x = 102 divide both sides by 4
x = 25.5
Situation:
Find the substance's half-life, in days.
• Round your answer to the nearest tenth.
A 25 gram sample of a substance that's
used for drug research has a k-value of
0.1229.
Enter the correct answer.
N = Noe
-kt
DONE
No = initial mass (at time t = 0)
?
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days
Answers
Answer:
5.6 days
Step-by-step explanation:
We are given;
Initial Mass; N_o = 25 g
Mass at time(t); N_t = 25/2 = 12.5 (I divide by 2 because we are dealing with half life)
k = 0.1229
Formula is given as;
N_t = N_o•e^(-kt)
Plugging in the relevant values;
12.5 = 25 × e^(-0.1229t)
e^(-0.1229t) = 12.5/25
e^(-0.1229t) = 0.5
(-0.1229t) = In 0.5
-0.1229t = -0.6931
t = -0.6931/-0.1229
t = 5.6 days
The Red Line Below is Parallel To which of the following?
A. The x-axis
B. The origin
C. the y-axis
D. None of those
Answers
Answer:
C. y axis
Step-by-step explanation:
y axis is the answer
Answer =A
Use slope to determine if lines AB and CD are parallel, perpendicular, or neither. A(0,2), B(5,4), C(1,8), and D(3,3). What is the slope of line CD? Enter as a ratio in its lowest terms.
Answers
Answer:
Perpendicular, CD has a slope of -5/2
Step-by-step explanation:
Parallel lines have the same slope, perpendicular have slopes that are negative reciprocals, or in other words if one slope is m then the other's slope is -1/m and if it is neither fo those then it is neither parallel or perpendicular. Also, if two lines have the same slope you have to make sure they are not the same line.
Now, to find the slope when you have two points you use the formula (y2 - y1)/(x2 - x1), where the points are (x1, y1) and (x2, y2). You can make either point point 1 or point 2. Just make sure x1 and y1 are from one point and x2 and y2 are from the other point.
So the two lines are AB and CD. Since the question asks I will start with CD. The points are (1,8) and (3,3) So I will call C point 1 and D point 2.
(y2 - y1)/(x2 - x1)
(3 - 8)/(3 - 1)
-5/2
Thankfully this is lowest terms.
Now for AB. A will be point 1 and B will be point 2
(y2 - y1)/(x2 - x1)
(4-2)/(5-0)
2/5
So they are not the same, so what if you take negative 1 over one of the slopes.
well. -1/(2/5) = -5/2
So these are perpendicular.
If you would like an explanation for how to find the full equation of a line I can explain that.
When 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4. Find the number.
Answers
Answer:
x=3
Step-by-step explanation:
Equation: 7x-8=3x+4
4x=12
x=3
1 + 3 + 4 = 4 + 3 + 1. What property is being described here?
Associative Property of Addition
Commutative Property of Addition
Associative Property of Multiplication
Answers
Answer: Commutative property of addition
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\text{1 + 3 + 4 = 4 + 3 + 1}[/tex]
[tex]\large\text{1 + 3 + 4}[/tex]
[tex]\large\text{4 + 4}[/tex]
[tex]\large\text{= \bf 8}[/tex]
[tex]\large\text{4 + 3 + 1}[/tex]
[tex]\large\text{7 + 1}[/tex]
[tex]\large\text{= \bf 8}[/tex]
[tex]\large\text{\bf 8 = 8}[/tex]
[tex]\large\textsf{We could remove Option C. because there’s no sign of multiplication.}[/tex]
[tex]\large\textsf{This leaves us to Option A and Option B because the equation(s) has}\\\large\textsf{sum/addition}[/tex]
[tex]\large\textsf{Associative Property of Addition formula is:}[/tex]
[tex]\bullet\large\text{ \bf (a + b) + c = a + (b + c)}[/tex]
[tex]\large\textsf{Commutative Property of Addition formula is:}[/tex]
[tex]\bullet\large\text{ \ \bf a + b = b + a}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf Commutative Property of Addition}}}\\\boxed{\huge\textsf{(Option B.)}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
the width of a newspaper is 13 3/4 inches. The left margin is 7/16 inch and the right margin is 1/2 inch. what is the width of the written page inside the margin?
Answers
Answer:
biggafigure a
mnn
Step-by-step explanation:
The quadratic function f has a vertex at (3,4) and opens upward. The quadratic function g is shown below. Which statement is true? A. The minimum value of g is greater than the minimum value of f. B. The maximum value of g is greater than the maximum value of f. C. The minimum value of f is greater than the minimum value of g. D. The maximum value of f is greater than the maximum value of g.
Answers
Answer:
The minimum value of f(x) is greater than the minimum value of g(x).
Step-by-step explanation:
Given
[tex](h_1,k_1) = (3,4)[/tex] --- vertex of f(x)
[tex]g(x) = 4(x - 4)^2 + 3[/tex] --- g(x) equation
Required
Which of the options is true
First, we identify the vertex of g(x)
A quadratic function is represented as:
[tex]g(x) =a(x - h)^2 + k[/tex]
Where:
[tex](h,k) \to[/tex] vertex
So, we have:
[tex](h_2,k_2) = (4,3)[/tex]
[tex]a = 4[/tex]
If [tex]a>0[/tex], then the curve opens upward
From the question, we understand that f(x) also open upward. This means that both functions have a minimum
The minimum is the y (or k) coordinate
So, we have:
[tex](h_1,k_1) = (3,4)[/tex] --- vertex of f(x)
[tex](h_2,k_2) = (4,3)[/tex] --- vertex of g(x)
The minimum of both are:
[tex]Minimum = 4[/tex] ---- f(x)
[tex]Minimum = 3[/tex] ---- g(x)
By comparison:
[tex]4 > 3[/tex]
Hence, f(x) has a greater minimum
Answer:
The minimum value of f(x) is greater than the minimum value of g(x).
Step-by-step explanation:
What are the factors of 2x2 + 3x - 54? Select two options.
2x - 9
2x - 6
O 2x + 6
OX-6
O x + 6
Answers
Step-by-step explanation:
Therefore, the factors are x + 6 and 2x − 9.
The factors of the polynomial are (2x-9)(x+6)
What is factor?Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.
Given is a polynomial 2x²+3x-54, we need to find its factors,
So,
Factors :-
= 2x²+3x-54
= 2x²+12x-9x-54
= 2x(x+6)-9(x+6)
= (2x-9)(x+6)
Hence, the factors of the polynomial are (2x-9)(x+6)
Learn more about factors, click;
https://brainly.com/question/14209188
#SPJ5
Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest form.
Answers
Answer:
[tex]a_n = -11-14n[/tex]
Step-by-step explanation:
Given
[tex]a_1 = -25[/tex]
[tex]a_n = a_{n-1}-14[/tex]
Required
The explicit formula
First, calculate [tex]a_2[/tex]
Set n=2; So:
[tex]a_2 = a_{2-1}-14[/tex]
[tex]a_2 = a_{1}-14[/tex]
Substitute -25 for [tex]a_1[/tex]
[tex]a_2 = -25-14[/tex]
[tex]a_2 = -39[/tex]
Calculate the common difference (d)
[tex]d = a_2 - a_1[/tex]
[tex]d = -39 --25[/tex]
[tex]d = -14[/tex]
So, the nth term is:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = -25+ (n - 1)*-14[/tex]
Open bracket
[tex]a_n = -25-14n + 14[/tex]
Collect like terms
[tex]a_n = 14-25-14n[/tex]
[tex]a_n = -11-14n[/tex]
