Step-by-step explanation:
2x⁴ + x² − x + 7
= 2x⁴ + 1x² + -1x + 7
The coefficient of the x² term is 1.
the opposite of g(x) is -9(x),
then -g(x) =
What is 72% of 87.5?
6x+3=38-x
help please
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]6x+3=38-x[/tex]
Subtract 3 from both sides:
[tex]6x+3-3=38-x-3[/tex]
[tex]6x=-x+35[/tex]
Add x to both sides:
[tex]6x+x=-x+35+x[/tex]
[tex]7x=35[/tex]
Divide 7 on both sides:
[tex]\frac{7x}{7}=\frac{35}{7}[/tex]
[tex]x=5[/tex]
what is 23.67 times 2.03
23.67 X 2.03 = 48.0501
Hope this helps! :)
Answer:
48.0501
Step-by-step explanation:
Which display makes it easier to find that the interquartile range is 4 songs?
Choose 1 answer:
A
The dot plot
B
The box plot
Answer:
The box plot
Step-by-step explanation:
The sum of the ages of Caleb and Linda is 55 years. 8 years ago, Caleb's age was 2 times Linda's age. How old is Caleb now?
Answer:
34
Step-by-step explanation:
1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then
2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;
3. according to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;
4. if to make up the system of two equation and calculate the values of 'x' and 'y':
5. if x=34, then Caleb is 34 old now.
what is x6y6z2 please asap
Dear student,
I request you to make you question more clear.
thank you,
________ ___________________________________
a number times 10 is equal to 28
Answer:
2.8
Step-by-step explanation:
2.8*10=28
Also, when you multiply 2.8 by 10, you can just move the decimal to the right once, giving you 28.
Porsches mom told her to choose 3 crayons out of a box
Order from GREATEST to LEAST. 342,645 432,784 324,792 415,675 434,775
Answer:
792, 784, 775, 675, 645, 434, 432, 415, 342, 324.
Find the terminal point on the unit circle determined by pi radians.
Use exact values, not decimal approximations.
The terminal point on the unit circle determined by π radians is (-1, 0).
To find the terminal point on the unit circle determined by π radians, we can use the properties of the unit circle.
The unit circle is a circle with a radius of 1 unit centered at the origin (0, 0) in a coordinate plane. The point on the unit circle determined by an angle θ is given by (cosθ, sinθ).
Since we want to find the terminal point determined by π radians, we can substitute π into the formulas for cosine and sine:
x = cos(π) = -1
y = sin(π) = 0
The terminal point on the unit circle determined by π radians is (-1, 0).
It's important to note that on the unit circle, π radians corresponds to half of the circumference of the circle. In other words, it represents a point on the circle that is diametrically opposite to the point (1, 0) which corresponds to 0 radians.
By understanding the relationship between angles and their corresponding points on the unit circle, we can easily determine the coordinates of terminal points for various angles.
For more such questions on terminal point on the unit circle
https://brainly.com/question/32039633
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Which statement is true for the graph of f(x) = 2x2 - 6x2 - 48x + 24?
(Answers attached)
Answer:
min = (4, -136) ; max = (-2,80)
Step-by-step explanation:
The option is B
The (-2, 80) is a relative minimum, (4, -136) relative maximum option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The cubic function:
f(x) = 2x³ - 6x² - 48x + 24
Find f'(x):
f'(x) = 6x² - 12x - 48
Equate f'(x) to zero:
6x² - 12x - 48 = 0
Find the roots of the quadratic equation:
x = -2
x = 4
Find f''(x):
f''(x) = 12x - 12
Plug x = -2
f''(-2) = -24 - 12 = -36 < 0
At x = -2 f(x) is minimum
f(-2) = 80
Plug x = 4
f''(4) = 48 - 12 = 36 > 0
At x = 4 f(x) is maximum
f(4) = -136
Thus, the (-2, 80) is a relative minimum, and (4, -136) relative maximum option (C) is correct.
Learn more about the function here:
brainly.com/question/5245372
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60 + 8x + 8x + ( 12x - 1) + (2x + 1)
= 540
Find the value of x.
Answer:
x=16
Step-by-step explanation:
I hope this helps you
-15 - 7= Please help if you know what it is please show work if you can as well? :)
Answer:
-22
Step-by-step explanation:
1/2x=14
Help please I’ve been stuck on this how do I check it?
Please help asap need to be done now
Answer:
15.71 is the perimeter.Step-by-step explanation:
Perimeter = Circumference
Step 1. Know and recognize what you have
C = pi*d
pi = 3.142
d = 10
Step 2. Solve for the circumference of whole circle
C = 3.142*10
C = 31.42
Step 3. Solve for the questions answer
C of semicircle = 31.42/2
C of semicircle = 15.71Hope this helped,
Kavitha
A basketball player makes 80% of his free throws. We set him on the free throw line and told him to shoot free throws until he misses. Let the random variable X be the number of free throws taken by the player until he misses. Assuming that his shots are independent, what is the probability of this player missing a free throw for the first time on the fifth attempt
Answer: 0.08192
Step-by-step explanation:
Given: Probability of free throws = 0.80
Then, probability of missing the free throw = 1-0.80=0.20
Now, According to the negative binomial probability distribution, the probability that the rth success is achieved in xth trial is given by ;-
[tex]P(X=x)= pC_{r-1}^{x-1}p^{r-1}(1-p)^{(x-r}[/tex]
Put p = 0.20 , x=5 and r =1, we get
The probability of this player missing a free throw for the first time on the fifth attempt as [tex](0.20)\ ^{5-1}C_{1-1}(0.20)^{1-1}(1-0.20)^{5-1}[/tex]
[tex]= (0.20)\ ^{4}C_{0}(0.20)^{0}(0.80)^{4}\\\\=(0.20)(1)(0.80)^4\\\\=(0.20)(0.4096)\\\\=0.08192[/tex]
hence the required probability =0.08192
Answer:0.08912
Step-by-step explanation:
c=2×3.14r to find the circumference of a circle with a radius of 5 meters
Answer:
C≈31.42
r Radius 5
If 9 (x) = – 5x2 – 4x + 19 find f (–3)
Answer:
- 14
Step-by-step explanation:
[tex]f(x) = - 5 {x}^{2} - 4x + 19 \\ plug \: x = - 3 \\ f( - 3) = - 5 {( - 3)}^{2} - 4( - 3) + 19 \\ f( - 3) = - 5 \times 9 + 12 + 19 \\ f( - 3) = - 45 + 31 \\ f( - 3) = -14[/tex]
Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope,=6 passing through (-2,8)
Type the point-slope form of the equation of the line.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answer:
Step-by-step explanation:
y - 8 = 6(x + 2)
y - 8 = 6x + 12
y = 6x + 20
What is the common ratio for the sequence 54, 18, 6, 2, ...? -1/3 -3 1/3 3
Answer:
first term (a) = 54
Second term (b) = 18
common ratio = b/a = 18/54 = 1/3
A factory manufactures tennis balls. Each tennis ball is stamped with the number 1, 2, 3, or 4. The table shown below lists the percent of tennis balls stamped with each number. What is the probability that a tennis ball selected at random is stamped with an even number? 1/35% 2/30% 3/20% 4/15%
Answer:
Step-by-step explanation:
the answer is .25 because i got it right and it makes alot of sense
In segment AC, the midpoint is B. If segments AC = 8 AB = 3x-1 find x.
Answer:
If B is the midpoint, it means
AC=2AB
8= 2(3x-1)
8= 6x-2
8+2= 6x
10= 6x
x= 10/6
x= 1.67
Hope it helps :-)
If 25% of a number is 30, then what is 40% of the same number?
Divide 30 by 25% to find the full amount:
30/0.25 = 120
Now multiply the full amount by 40%:
120 x 0.40 = 30
How is density calculated given mass and volume? 1.) Mass divided by volume 2.) Mass multiplied by volume 3.) Sum of volume and mass 4.) Difference of volume and mass
Answer:
1) mass divided by volume
Step-by-step explanation:
Answer:
1. Mass Divided By Volume
Step-by-step explanation:
D = M / V
Density is equal to mass. (In any form such as: grams, pounds or another unit)
Answer these questions please please
Answer:
Step-by-step
i) a² - 2ab + b² = (a + b)²
a² = p² ; a = p
b² = 16 = 4² ; b = 4
2ab = 2*p*4 = 8p
p² - 8p + 16 = (p - 4)²
ii) a² + 2ab + b² = (a +b)²
a² = 121x² = (11x)² ; b² = 4y² = (2y)²
2ab = 2 * 11x * 2y = 44xy
121x² + 44xy + 4y² = (11x + 2y)²
6^-2 = PLEASE HELP .....................................................................
Answer:
6^-2 =0.02777777777
Step-by-step explanation:
There are many ways to produce crooked dice. To load a die so that 6 comes up too often and 1 , which is opposite 6 , comes up too seldom, add a bit of lead to the filling of the spot on the 1 face. If a die is loaded so that 6 comes up with probability 0.2 and the probabilities of the 2,3,4 , and 5 faces are not affected, which of the choices is the correct assignment of probabilities to the six faces
Answer:
1 2 3 4 5 6
2 ÷ 15 1 ÷ 6 1 ÷ 6 1 ÷ 6 1 ÷ 6 1 ÷ 5
Step-by-step explanation:
As it is mentioned in the question that the probability of faces like 2,3,4,5 are not affected so in this case
P(2) = P(3) = P(4) = P(5) = 1 ÷ 6
And, P(6) = 0.2
As we know that
P(1) + P(2) +P(3) +P(4) +P(5) +P(6) = 1
This results P(1) = 2 ÷ 15
So,
1 2 3 4 5 6
2 ÷ 15 1 ÷ 6 1 ÷ 6 1 ÷ 6 1 ÷ 6 1 ÷ 5
Hence, the correct option is 2nd
Find the volume of oxygen in a room with the dimensions of 144.78 cm x 198.12 cm x 144.78
Answer:
4,152,842.53301 cm³ ≈ 4.1528 m³
Step-by-step explanation:
The volume of a rectilinear room of those dimensions will be the product of those dimensions:
(144.78 cm)(198.12 cm)(144.78 cm) = 4,152,842.53301 cm³
A more appropriate unit for such a volume is cubic meters. There are a million cubic centimeters in a cubic meter, so the volume (to 5 significant digits) is ...
4.1528 m³
_____
We assume that any oxygen is uniformly distributed in the space, so the volume of oxygen will be the same as the volume of the room.
_____
Additional comment
These dimensions correspond to those of a room that is 57 inches square and 78 inches high.
Una lancha que viaja a 10 m/s pasa por debajo de un puente 3 segundos después que ha pasado un bote que viaja a 7 m/s, ¿después de cuántos metros la lancha alcanzará al bote?
Answer:
La lancha y el bote se encontrarán a 70 metros de distancia del puente.
Step-by-step explanation:
Sea el punto debajo del puente el punto de referencia y que ambas lanchas se desplazan a velocidad a continuación, las ecuaciones cinemáticas para cada embarcación son presentadas a continuación:
Bote a 7 metros por segundo
[tex]x_{A} = x_{o}+v_{A}\cdot t[/tex] (Ec. 1)
Lancha a 10 metros por segundo
[tex]x_{B} = x_{o}+v_{B}\cdot (t-3\,s)[/tex] (Ec. 2)
Donde:
[tex]x_{o}[/tex] - Posición debajo del puente, medido en metros.
[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Posición final de cada embarcación, medido en metros.
[tex]v_{A}[/tex], [tex]v_{B}[/tex] - Velocidad de cada embarcación, medida en metros por segundo.
[tex]t[/tex] - Tiempo, medido en segundos.
Para determinar la posición en la que ambas embarcaciones se encuentran, se debe determinar el instante en que ocurre a partir de la siguiente condición: [tex]x_{A} = x_{B}[/tex]
Igualando (Ec. 1) y (Ec. 2) se tiene que:
[tex]v_{A}\cdot t = v_{B}\cdot (t-3\,s)[/tex]
Ahora despejamos el tiempo:
[tex]3\cdot v_{B} = (v_{B}-v_{A})\cdot t[/tex]
[tex]t = \frac{3\cdot v_{B}}{v_{B}-v_{A}}[/tex]
Si sabemos que [tex]v_{B} = 10\,\frac{m}{s}[/tex] y [tex]v_{A} = 7\,\frac{m}{s}[/tex], entonces:
[tex]t = \frac{3\cdot \left(10\,\frac{m}{s} \right)}{10\,\frac{m}{s}-7\,\frac{m}{s}}[/tex]
[tex]t = 10\,s[/tex]
Ahora, la posición de encuentro es: ([tex]x_{o} = 0\,m[/tex], [tex]v_{A} = 7\,\frac{m}{s}[/tex] y [tex]t = 10\,s[/tex])
[tex]x_{A} = 0\,m + \left(7\,\frac{m}{s} \right)\cdot (10\,s)[/tex]
[tex]x_{A} = 70\,m[/tex]
La lancha y el bote se encontrarán a 70 metros de distancia del puente.