Resuelve el siguiente problema aplicando las estrategias de solución de problemas:
• La suma de dos números es 20 y su diferencia es de 4. Halla los números.
i need help with this math
Use the sum of cubes identity to write this polynomial expression in factored form:
8x3 + 27.
Answer:
8*3+27=2³*3+3³
Step-by-step explanation:
2³=8
3³=27
8*3+27=2³*3+3³
The bacteria in a petri dish doubles every hour. If there are 3 present, how many will there be in 15 hours?
Answer:
98304 bacteria
Step-by-step explanation:
3x2^1 = 6
3x2^2 = 12
3x2^3 = 24
3x2^15 = 98304
On a long hike, Austin drank 5 pints of water. How much did he drink in quarts?
Answer:
Austin drank 2.5 quarts.
Step-by-step explanation:
There are 2 pints in a quart.
To get from pints to quarts, divide by 2
5/2 = 10
2.5 quarts
mark brainliest please!
The number of bats in a colony is growing exponentially. After 1 year, there were 70 bats. After 4 years, there were 560 bats. If the colony continues to grow at the same rate, how many bats are expected to be in the colony after 7 years?
Answer:
23040 bats
Step-by-step explanation:
Let N(t) be the number of bats at time
We know that exponential function
[tex]y = ab[/tex]
According to question
[tex]N(t) = ab^{2}[/tex]
Where t (in years)
Substitute t=2 and N(2)=180
[tex]180 = ab^{2}[/tex]
Substitute t=5 and N(5)=1440
[tex]1440 = ab^{5}[/tex]
Equation (1) divided by equation (2)
[tex]\frac{180}{1440} = \frac{ab^{2} }{ab^{5}} = \frac{1}{b\frac{5-2}{}}[/tex]
By using the property
Substitute the values of b in equation (1)
Substitute t=9
Hence, after 9 years the expected bats in the colony=23040 bats
What is the solution to the inequality |2x + 3| < 7? 4 < x < 10 –5 < x < 2 x < 4 or x > 10 x < –5 or x > 2
Answer:
4(−10−9x)
Step-by-step explanation:
Evaluate and simplify
Answer:
[tex]\frac{-3}{-26}[/tex]
Step-by-step explanation:
[tex]\frac{-x-8}{x^{2}-4x-21}[/tex] is what you are looking for.
So with x = -5, it would look like this
[tex]\frac{-(-5)-8}{-5^{2}-(-5)4-21}[/tex]
Simple math now.
-(-5) is 5
[tex]-5^{2} = -25[/tex]
-5 * -4 = 20.
So it should be [tex]\frac{5-8}{-25+20-21}[/tex]
5-8=-3
-25+20-21 = -26
So the answer is[tex]\frac{-3}{-26}[/tex]
please help me!!
a bag contains 18 marbles. there are 6 red marbles, 6 yellow marbles, and 6 green marbles. a marble is drawn at random and returned. then another marble is drawn at random
which statements are true?
A. the expected probability of drawing a green marble first is the same as the expected probability of drawing a green marble second.
B. there are six possible outcomes
C. the probability of drawing a red marble first is the same as not drawing a red marble second
D. the expected probability of drawing a red marble and then a yellow marble is 1/9
E. there are three possible outcomes from drawing the same color twice
F. the probability of drawing a yellow marble and then a yellow marble is 1/6
Answer:
Step-by-step explanation:
A. False. The probability of drawing a green marble twice is even smaller (It may be true though depending on what the question is asking, if it is asking the chance of drawing a green marble second is the same as the 1st chance, then yes it is True.
B.False
C. False
D.True, 1/3*1/3 (Simplified version of 6/18*6/18) is 1/9
E. False (Although this may be true, again depending on the type of question)
F. False
Three hundred eighty-five defective alcohol swabs were produced in a day. If 4% of the alcohol swabs produced were defective, how many alcohol swabs
were produced in all?
Answer:
9625
Step-by-step explanation:
If 385 alcohol swabs were defective, then 385 is 4% of all produced alcohol swabs.
385*25 = 9625
9625 alcohol swabs were produced
The number of alcohol swabs produced in all was 9625.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is equivalent to the quantity of that value between 1 and 100, and it is highly helpful for forecasting. For instance, if you say 678, we must also know the whole number, but if you say 80%, it is obvious.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Let's say the total of x number of alcohol produced
4 percent were defective so
0.04 × x = 384
x = 9625 hence a total of 9625 alcohol was produced.
For more about the percentage
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Una persona camina desde su casa hasta el parque la distancia de 100 M y el tiempo recorrido fue de 10 minutos cuál fue su velocidad
Usando la relación entre la velocidad, la distancia y el tiempo, se encuentra que su velocidad fue de 10 m/min.
¿Cuál es la relación entre la velocidad, la distancia y el tiempo?Velocidad es distancia dividida por el tiempo, o sea:
[tex]v = \frac{d}{t}[/tex]
En este problema, hay que:
La distancia es de d = 100 m.El tiempo es de t = 10 min.Por eso:
v = 100 m/10 min = 10 m/min.
Su velocidad fue de 10 m/min.
Puede-se aprender más a cerca de la relación entre la velocidad, la distancia y el tiempo en https://brainly.com/question/24558377
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Can someone help me find the volume of this?
Answer:
97.2 m³
Step-by-step explanation:
The volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.
V = 1/2LWH
V = 1/2(9 m)(7.2 m)(3 m) = 97.2 m³
_____
Additional comment
The relation we used above comes from the more general formula for the volume of a prism:
V = Bh
where B is the area of the base.
You know a rectangular base will have an area of ...
A = bh
and a triangle with the same base and height will have an area of ...
A = 1/2bh
That is, the base area of a triangle is half that of a rectangle with the same dimensions. When we use this fact in the volume formula, we find the volume of a triangular prism is 1/2 that of a rectangular prism with the same length, width, and height.
Question 1 of 8
Which of the following are good questions to ask when trying to understand a
problem? Check all that apply.
A. Does my guess satisfy the equation?
B. Is the variable always positive, negative, or either?
C. How should I present the solution?
D. What is the variable?
E. What is a logical name for the variable?
F. What are the units of the variable?
Answer:
A, C,D,E,F
Step-by-step explanation:
write in logarithmic form 4^-3 = 1/64
Answer:
-3=log base 4 1/64
Step-by-step explanation:
This was hard to write because you cant do base on keyboard.
Solve for x in the given equation: ax - b = c
An equation is formed of two equal expressions. The value of x is the equation ax-b=c is (c+b)/(a).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of x in the given equation can be written as,
[tex]ax - b = c\\\\ax = c+b\\\\x = \dfrac{c+b}{a}[/tex]
Hence, the value of x is the equation ax-b=c is (c+b)/(a).
Learn more about Equation:
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Please help me GENIUS Rank
Directions: Complete the following frequency distribution table, then compute the mean, median, and mode of the distribution. Show your complete solutions. (25 points)
Class interval] frequency (f)] fxm
99-101 ] 17 ].
102-104 ] 25 ]
105-107 ] 13 ]
108-110 ]. 16 ]
111-113 ]. 29 ]
total ]N= ]. Efxm=
less than cumutalti frequency (<cf)
[. ]
[. ]
[. ]
[. ]
[. ]
[. ]
Which of the following is equivalent to
?
60 ^1/2
Answer:
60^1/2 = 60^0.5 = sqrt 60 = 7.75
good luck :))) <3
What is the answer to this?…
[tex]~~~~~\dfrac 34n = 9\\\\\\\implies n = \dfrac{9 \times 4} 3\\\\\\\implies n = \dfrac{36}3\\\\\\\implies n = 12[/tex]
Pls help giving 20 points
Answer:
220.5 ft
Step-by-step explanation:
8x = 2/3 ; x =
1 1/2 = 2x; x =
5x = 2/7; x =
1/4x = 5; x =
1/5 = 2/3x; x =
We can simply solve the equations by just dividing by the coefficient value of x. For example, we would divide both sides of the first equation by 8 to make the equation into x = 2/24 = 1/12
8x=2/3 --> x=1/12
1.5=2x --> x=0.75
5x=2/7 --> x= 2/35
1/4x=5 --> x=20
1/5=2/3x --> 3/5=2x --> x=3/10
can u guys please help me
Answer:
60.69cm^2
Step-by-step explanation:
5.1^2 = 26.01
5.1/2 = 2.55
2.55 × 5.95 = 15.1725
15.1725×4 = 60.69
60.69 + 26.01 = 60.69cm^2 nice
Solve the equation. Write your answer as an integer or simplified fraction.
5n−6 n−2 =19
n = _____
Explaination :
The given equation,
[tex] \boxed{\sf{5n \: - 6(n - 2) \: = \: 19}} \: \bigstar[/tex]Lets start solving it..!!
★ Multiplying -6 by (n -2),
[tex] \implies \: \sf{5n \: - 6 \times (n - 2) \: = \: 19} [/tex]
[tex] \implies \: \sf{5n \: - 6n + 12 \: = \: 19} [/tex]
★ Subtracting 5n from 6n,
[tex]\implies \: \sf{ - n + 12 \: = \: 19} [/tex]
★ Transposing 12 from L.H.S. to R.H.S. it would be in negative,
[tex]\implies \: \sf{ - n \: = \: 19 - 12} [/tex]
★ On subtracting 12 from 19 we gets,
[tex] \implies \: \sf{ - n \: = \: 7} [/tex]
★ Now,
[tex] \implies \: \red{\bf{ n \: = \: - 7} }[/tex]
Therefore,
Value of n is -72. Choose the correct measurement of the paper clip to the nearest 1/8 inch.
Answer: 1 3/8 inches.
Answer: 1 3/8
The paper clip is 1.375 inches.
Evaluate 27+ x when x = 3.
What is the value of the expression
Answer:
30
Step-by-step explanation:
Evaluating an expression when given a value of an unknown means to substitute the unknown value with a certain value given and simplify fully:
27 + (3)
Simplify by doing simple addition :
27 + 3 = 30
Therefore our answer is 30.
Hope this helped and brainliest please.
Replace the variable x with 3 in the expression.
27 + 3
Remove parentheses.
27 + 3
Add 27 and 3.
30
Please Help!!!!
Find the slope of the line.
Answer:
-1/2
Step-by-step explanation:
Use the two points shown.
slope = rise/run
Start at teh left point.
Go down 2 units. That is a rise of -2.
Now go right 4 units. That is a run of 4.
slope = rise/run = -2/4 = -1/2
What is 14 quarter inches
Answer:
1.1875 feet is equal to 14.25 (14 quarter) inches.
Hope It Helps.
If two lines intersect, their intersection is___________
O many points
O one plane
O many planes
O one point
Answer:
one point and one plane
Step-by-step explanation:
Any two line if they intersects... they will intersects in one point..
And to have an intersection they always need to be on one plan..
Zearnn help... I've been stuck working hard
Calculate the area of the room and then subtract the area of the tiled floor.
area of room = 11 3/4 x 5 = 58 3/4
Area of tiled floor = 7 1/2 x 3 1/4 = 24 3/8
area of carpet = 58 3/4 - 24 3/8 = 34 3/8
answer: 34 3/8
What is the factorization of the polynomial graphed below? Assume it has no
constant factor. Write each factor as a polynomial in descending order.
a 23 ө C С B 2
help me??