Answers
Answer:
D is correct.
Step-by-step explanation:
\(3 |x + 1| < 6\)
\( |x + 1| < 2\)
\( - 2 < x + 1 < 2\)
\( - 3 < x < 1\)
x > -3 and x < 1, so D is correct.
Related Questions
Which bot clicked more in one second
Answers
Answer:
Bot 4
Step-by-step explanation:
Here is one way
rate of bot 3 36 /5 in ten seconds 36/5 *10 = 72 clks
rate of bot4 26/3 in ten seconds 26/3 * 10 = ~ 87 clks
Write a proportion that has means 2 and 6 and extremes 3 and 4
Answers
A proportion is a declaration that two ratios are equal. In this context, it is the relation between two ratios of four numbers: 2, 6, 3, and 4. the proportion (3/2) = (6/4) is valid because the cross-product is identical, and both sides of the equation simplify to the same value of 12.
A proportion involving four numbers has two means and two extremes. Here, 2 and 6 are means, while 3 and 4 are extremes. A proportion that has means 2 and 6 and extremes 3 and 4 is: (3/2) = (6/4)Expressing it in the form of a fraction is essential since we can then cross-multiply and solve for the variable.
Multiplying both sides of the equation by 2 x 4 gives us:4 x 3 = 2 x 6This simplifies to:12 = 12
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if u(x,t) is known, give an expression for the total thermal energy in a rod (0 ≤x ≤l).
Answers
The expression for the total thermal energy in the rod from
0 to L by the following equation. This equation is the solution.
\(\int_0^{L}cupAdx\).
We are informed that a 1-D rod with a fixed cross-sectional area exists.
A, and we are trying to find the thermal energy between the sites x=0 and x=L.
Thermal energy per unit volume:e(x,t).
However, we do not want to think about the full rod part just yet. We wish to start by taking into account a narrow slice of the rod. We have an easy equation for that if the thermal energy density is constant across the volume.
Slice of a rod being considered: segment between x and x+Δx
Total energy with constant thermal energy density=e(x,t)AΔx
We also know that the temperature u(x,t) and specific heat =c(x) are independent of each other.
This means that we can now introduce the equations for the heat energy per unit mass and the mass density.
heat energy per unit =c(x) u(x,t),
total mass of the thin slice with thickness=AΔx ρ(x)
the total thermal energy in slice =c(x) u(x,t)AΔx ρ(x)
e(x,t)AΔx=c(x) u(x,t)AΔx ρ(x)
e(x,t)=c(x)u(x,t) ρ(x)
the expression for the total thermal energy in the rod from
0 to L by the following equation. This equation is the solution.
\(\int_0^{L}cupAdx\)
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convert NPR 180000 into
1. USD
Answers
Answer:
Solution here,
1 US dollar=NRS 120.74
Therefore Rs 180000= 180000/120.74
=$1490.99
complete the equation of the line that passes through (-2,6) and (-1,18) in slope intercept form
Answers
\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{18}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{18}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-1}-\underset{x_1}{(-2)}}} \implies \cfrac{12}{-1 +2} \implies \cfrac{ 12 }{ 1 } \implies 12\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 12}(x-\stackrel{x_1}{(-2)}) \implies y -6 = 12 ( x +2) \\\\\\ y-6=12x+24\implies {\Large \begin{array}{llll} y=12x+30 \end{array}}\)
The pentagons ABCDE and JKLMN are similar find the length x of JK
Answers
Answer:
x = 8
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are in proportion , that is
\(\frac{JK}{AB}\) = \(\frac{KL}{BC}\) , substitute values
\(\frac{x}{4}\) = \(\frac{6}{3}\) = 2 ( multiply both sides by 4 to clear the fraction )
x = 8
Farmer john’s tractor pulls a rope attached to a bale of hay through a pulley. At a certain moment, the tractor’s speed is 3 m/s and the bale is rising at 2 m/s. How far is the tractor from the bale at this moment?.
Answers
The distance between the tractor and the bale at this moment is 1 meter.
To determine the distance between the tractor and the bale at the given moment, we can use the concept of relative motion.
The distance between the tractor and the bale is the difference in their positions. Since the tractor is moving at a speed of 3 m/s and the bale is rising at a speed of 2 m/s, their relative speed is the difference between the two speeds, which is 3 m/s - 2 m/s = 1 m/s.
To find the distance, we can use the formula:
Distance = Speed × Time
In this case, the relative speed is 1 m/s. Since the tractor and the bale are moving in the same direction, we can assume that their speeds are constant over the given time. Therefore, we don't need to consider the time in this calculation.
So, the distance between the tractor and the bale at this moment is 1 meter.
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Ecological approach to algal bloom control. Algal blooms can have negative effects on an ecosystem by dominating its phytoplankton communities. Gonyostomum semen is a nuisance alga infesting many parts of northern Europe. Could the overall biomass of G. semen be controlled by grazing zooplankton species? A research team examined the relationship between the net growth rate of G. semen and the number of Daphnia magna grazers introduced in test tubes. A net growth rate was computed by comparing the initial and final abundances of G. semen in the experiment, with a negative value indicating a decrease in abundance. Here are the findings: 13 1 2 3 4 5 6 Number of grazers Net growth rate -1.9 -2.5 -2.2 -3.9 -4.1 -4.3 a. Make a scatterplot of number of grazers and net growth rate. Do you think that D. magna is an effective grazer of the G. semen alga? b. Find the correlation 1. How does it support your interpretation?
Answers
a. D. magna is an effective grazer of the G. semen alga. b. a very strong negative correlation between the number of grazers and the net growth rate of G. semen.
a. The scatterplot of the data shows a clear negative correlation between the number of D. magna grazers and the net growth rate of G. semen. As the number of grazers increases, the net growth rate of G. semen decreases. This suggests that D. magna is an effective grazer of the G. semen alga.
b. The correlation coefficient between the number of grazers and the net growth rate is -0.996. This indicates a strong negative correlation between the two variables, which supports the interpretation that D. magna is an effective grazer of G. semen. The closer the correlation coefficient is to -1, the stronger the negative correlation between the two variables. In this case, the correlation coefficient is very close to -1, which indicates a very strong negative correlation between the number of grazers and the net growth rate of G. semen.
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Someone drank 3/4 of a 16 fluid ounce bottle of juice how much is left?
Answers
Answer:
12
Step-by-step explanation:
16 x3/4 is 48/4 or 48 divided by 4, or 12.
............,.,,....
Which inequality does the graph represent?
Answers
Answer:
Step-by-step explanation:
-2
Answer:
(-3,-3)
Step-by-step explanation:
I think I think
Erica wants to make clothes for her dolls. She needs 6.5 yards of fabric.
If the fabric costs $3.99 per yard, how much will Erica spend?
A.$20.54
B.$22.94
C.$25.94
D.27.94
PLEASE HELP ILL MARK BRAINLIEST!!!!!
Answers
6.5(3.99)=$25.935= $25.94
how many hexadecimal numbers begin with one of the digits 4 through d, end with one of the digits 2 through e, and are 6 digits long?
Answers
There are 8,519,680 hexadecimal numbers. The result is obtained by using the multiplication principle.
What is hexadecimal number system?Hexadecimal number system is a numbering system with the base of 16. The 16-digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. They are usually denoted by the subscript 16. For example, 429AD₍₁₆₎.
How many combination of hexadecimal numbers that can be made if:
They begin with one of the digits 4 - D.They end with one of the digits 2 - E.They are 6 digits long.Let's broke the problem into 3 cases.
The first digit is from 4 to D. They are 4, 5, 6, 7, 8, 9, A, B, C, D. There are 10 choices.The last digit is from 2 to E. They are 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E. They are 13 choices.The three digits in the middle are 16³ choices.Using the multiplication principle, we can multiply them all.
The combination of hexadecimal numbers is
= 10 × 13 × 16³
= 8,519,680
Hence, the combination that can be made is 8,519,680 hexadecimal numbers.
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Problem 1. For each whole number n, explain why there exists x
with (2n−1)π/2 < x < (2n+1)π/2 such that tan(x)=x
Answers
We have shown that for every whole number n, there exists a value of x in the interval (2n−1)π/2 < x < (2n+1)π/2 such that tan(x) = x.
To prove that there exists a value of x such that tan(x) = x for each whole number n, we can use the Intermediate Value Theorem.
The Intermediate Value Theorem states that if a continuous function takes on two different values at two different points in an interval, then it must also take on every value between those two points at some point within the interval.
In this case, we consider the function f(x) = tan(x) - x. We want to show that there exists a value of x in the [(2n-1)π/2, (2n+1)π/2] where f(x) = 0, which means tan(x) = x.
First, we note that f(x) is continuous within the given interval since both tan(x) and x are continuous functions.
Next, we evaluate f((2n-1)π/2) and f((2n+1)π/2):
f((2n-1)π/2) = tan((2n-1)π/2) - (2n-1)π/2 = -∞ - (2n-1)π/2 < 0
f((2n+1)π/2) = tan((2n+1)π/2) - (2n+1)π/2 = ∞ - (2n+1)π/2 > 0
Since f((2n-1)π/2) < 0 and f((2n+1)π/2) > 0, by the Intermediate Value Theorem, there must exist a value of x in the integral [(2n-1)π/2, (2n+1)π/2] such that f(x) = 0. This means there exists an x such that tan(x) = x for each whole number n.
Therefore, we have shown that for every whole number n, there exists a value of x in the interval (2n−1)π/2 < x < (2n+1)π/2 such that tan(x) = x.
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Which of these represents an integer? Select all that apply. (There should be two anwsers) A. -3 B. 4 C. 2 1/2 D. 8/4
Answers
What is the quotient? Negative 3.22 divided by negative 5 –64.4 –0.644 0.644 64.4
Answers
Answer:
Option (3)
Step-by-step explanation:
Given expression is \(\frac{(-3.22)}{(-5)}\).
\(\frac{(-3.22)}{(-5)}=\frac{(3.22)}{(5)}\)
5) 3 .2 2 (0.644
3 0
2 2
2 0
2 0
2 0
0
Therefore, quotient of the division is (0.644)
Option (3) will be the correct option.
Answer:
C
Step-by-step explanation:
In each problem below, find the total area of the shaded regions.
Thanks!
Answers
The area of the shaded region = area of semicircle - area of triangle ACB = 11.32 cm².
What is the Area of a Semi-circle and Triangle?Area of a triangle = 1/2(base)(height).
Area of a semi-circle = 1/2(πr²).
m∠ACB is a right triangle based on the central angle theorem. Therefore, ΔACB is a right triangle.
Radius of circle = OC = 4 cm
CB = 4 cm
Diameter AB = 2(4) = 8 cm
Using the Pythagorean theorem, find AC in ΔACB:
AC = √(AB² - CB²)
AC = √(8² - 4²)
AC ≈ 6.9 cm
Area of ΔACB = 1/2(CB)(AC)
Area of ΔACB = 1/2(4)(6.9)
Area of ΔACB ≈ 13.8 cm²
Area of semicircle = 1/2(πr²) = 1/2(π)(4²)
Area of semicircle ≈ 25.12 cm²
Area of the shaded region = area of semicircle - area of triangle ACB = 25.12 - 13.8
Area of the shaded region = 11.32 cm²
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Which one of the following is discrete data?
Height of a person
Width of a table
Attendance at a rugby match
volume of Coca-Cola
Answers
Answer:
Attendance at a rugby match
Let R be a relation on a set A. Prove the following: a) If R is reflexive, then R⁻¹ is reflexive. b) If R is symmetric, then R⁻¹ is symmetric. c) If R is transitive, then R⁻¹ is transitive.
Answers
c) if R is transitive, then R⁻¹ is also transitive.
To prove the given statements:
a) If R is reflexive, then R⁻¹ is reflexive.
Let's assume that R is a reflexive relation on set A. By definition, for every element a ∈ A, (a, a) ∈ R.
Now, let's consider the inverse relation R⁻¹. We need to show that for every element a ∈ A, (a, a) ∈ R⁻¹.
By definition of the inverse relation, if (a, a) ∈ R, then (a, a) ∈ R⁻¹.
Therefore, if R is reflexive, then R⁻¹ is also reflexive.
b) If R is symmetric, then R⁻¹ is symmetric.
Let's assume that R is a symmetric relation on set A. By definition, if (a, b) ∈ R, then (b, a) ∈ R for every pair of elements (a, b) ∈ A.
Now, let's consider the inverse relation R⁻¹. We need to show that if (a, b) ∈ R⁻¹, then (b, a) ∈ R⁻¹.
By definition of the inverse relation, if (a, b) ∈ R⁻¹, then (b, a) ∈ R.
Therefore, if R is symmetric, then R⁻¹ is also symmetric.
c) If R is transitive, then R⁻¹ is transitive.
Let's assume that R is a transitive relation on set A. By definition, if (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R for every triplet of elements (a, b, c) ∈ A.
Now, let's consider the inverse relation R⁻¹. We need to show that if (a, b) ∈ R⁻¹ and (b, c) ∈ R⁻¹, then (a, c) ∈ R⁻¹.
By definition of the inverse relation, if (a, b) ∈ R⁻¹, then (b, a) ∈ R. Similarly, if (b, c) ∈ R⁻¹, then (c, b) ∈ R.
Using the transitivity of R, if (b, a) ∈ R and (c, b) ∈ R, then (c, a) ∈ R.
In conclusion, we have proved that:
a) If R is reflexive, then R⁻¹ is reflexive.
b) If R is symmetric, then R⁻¹ is symmetric.
c) If R is transitive, then R⁻¹ is transitive.
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PLEASE HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!!
Answers
Answer:
9? I think it is 9 based off of my calculations. Sorry if I'm wrong.
What is the mean absolute deviation of Patrick’s scores? Show your work
Answers
25.89= 15.19 + 2x
What is X
Answers
Answer:
\(25.89=15.19+2x\)
\(x=5.35\)
I hope this helps!
What is the answer to
0.04 is 1/10 of _____
Answers
Answer:
.4
Step-by-step explanation:
Answer:
.0003, .04, .02, 2 4
Step-by-step explanation:
hope it helps
Helppppppp meeeeee pleaseeeee
Answers
Hello!
The slope equation is y = mx + b
mx is the slope and b is the yintercept.
4. y= -3x + 5
See where I put the slope and y intercept above?
Those are where the numbers go in that equation.
5. 3x + y = 5
The standard for equation is: Ax + by = c
y = -3x + 5
we need to make the equation look like the standard form equation.
y = -3x + 5
lets add 3x to both sides
The answer is 3x + y = 5
6. m = \(\frac{3}{2}\)
We need to use this formula: \(m=\frac{y2-y1}{x2-x1} \\\\\\\)
The points said are: (2, 5) and (4, 8)
\(m=\frac{8-5}{4-2}\)
m = 3/2
M is the slope.
---------------
I hope this helps,
Have a great day!!
Which statements are accurate about the dilation? Check all that apply. The dilation is a reduction. The scale factor is between 0 and 1. A is the image of A' Point O is the center of dilation. OB = BB'.
Answers
Answer:
A,B,D
Step-by-step explanation:
Trust me just did it on edge
Answer:
A, B, D is your answer...
Step-by-step explanation:
Need help getting the answer to the question below.
Answers
Answer:
.0065
Step-by-step explanation:
You move the decimal backwards 3 times
Answer:
The answer is 0.0065
Step-by-step explanation:
Hope it will help you...
A ship’s stability data book gives her load displacement to be 18,000 tonnes and TPC to be 26. If she is now loading in DW of 1.015, by how much may her loadline be immersed so that she would not be overloaded.
Answers
The ship's loadline may be immersed by approximately 0.308 meters.
To determine the maximum allowable immersion of the ship's loadline, we need to calculate the change in displacement caused by the loading of cargo. The TPC (Tonnes Per Centimeter) value of 26 indicates that for each centimeter of immersion, the ship's displacement increases by 26 tonnes.
Given that the ship's load displacement is 18,000 tonnes, we can calculate the change in displacement as follows: 1.015 (DW) - 1.000 (lightship displacement) = 0.015. Multiplying this value by the TPC of 26 gives us 0.015 x 26 = 0.39 tonnes, which represents the increase in displacement due to the cargo loading.
Since the ship's loadline is a measure of the maximum permissible immersion, we divide the increase in displacement by the density of seawater to find the corresponding immersion in meters. The density of seawater is approximately 1 tonne per cubic meter. Therefore, the immersion would be 0.39 tonnes / 1 tonne per cubic meter = 0.39 meters.
However, to ensure that the ship is not overloaded, we need to subtract a safety margin. Depending on the specific regulations and safety factors applicable to the ship, this margin can vary. Let's assume a safety margin of 20% for this example. Subtracting 20% of the calculated immersion, we have 0.39 meters - (0.39 meters x 0.2) = 0.39 meters - 0.078 meters = 0.312 meters.
Therefore, the ship's loadline may be immersed by approximately 0.312 meters to ensure it is not overloaded.
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It cost $30 for two dozen cookies. How much does one cookie cost?
Answers
Answer:
$1.25
Step-by-step explanation:
30*2=15
15/12=1.25
The graph shows the height of a plant over time. What is the unit rate?
Answers
Which expression is equivalent to ½ sin 2 theta for all values of theta
Answers
Given:
Given the expression
\(\frac{1}{2}\sin2\theta\)Required: An equivalent expression
Explanation:
Use the formula
\(\sin2\theta=2\sin\theta\cos\theta\)Dividing by 2 on both sides gives
\(\begin{gathered} \frac{1}{2}\sin2\theta=\frac{1}{2}(2\sin\theta\cos\theta) \\ =\sin\theta\cos\theta \end{gathered}\)Option D is correct.
Final Answer: An equivalent expression of
\(\frac{1}{2}\sin2\theta\)is
\(\cos\theta\sin\theta\)Completa la siguiente tabla considerando la siguiente información: a. Sofía tiene x años.
b. Andrés, su esposo, tiene 3 años más.
c. Esteban su padre le dobla la edad.
d. Mónica, su madre, tiene 5 años menos que su padre.
e. Sandra y Anabel son sus hijas gemelas. Las tuvo con 26 años.
f. Javier, el pequeño, tiene la mitad de años que las gemelas
AYUDAAAAAA necesito saber la edad de cada uno por favor (┬┬﹏┬┬)
Answers
The table below shows the age of each person mentioned in the given information.
Person | Age
--------------|--------------
Sofía | x
Andrés | x + 3
Esteban | 2x
Mónica | 2x - 5
Sandra | 26
Anabel | 26
Javier | (26 / 2) = 13
The table shows the age of each person mentioned in the given information. Sofia's age is unknown and represented by "x", while her husband Andrés is three years older than her. Sofia's father Esteban is twice her age, and her mother Mónica is five years younger than Esteban.
Sofia has twin daughters, Sandra and Anabel, who are 26 years old, and her youngest child Javier is half the age of the twins, which is 13 years old.
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Complete the following table considering the following information: a. Sofia is x years old. b. Andres, her husband, is 3 years older. c. Esteban, her father, is twice her age. d. Monica, her mother, is 5 years younger than her father. e. Sandra and Anabel are her twin daughters. She had them at the age of 26. f. Javier, the youngest, is half the age of the twins.