Answers
[tex]~~~~~~|R-3| = 10\\\\\implies R -3 = 10~~~~~~ \text{or}~~~~~~~R -3 = -10\\\\\implies R = 10+3~~~~~~\text{or}~~~~~~~R = -10+3\\\\\implies R = 13~~~~~~~~~~~ \text{or}~~~~~~~R = -7\\\\\text{Solution set:} ~\{-7,13\}[/tex]
Related Questions
Fin find the 31st term in -3, -5, -7, -9
Answers
Answer:
-63
Find common difference:
-5 -(-3)-5 + 3-2nth term:
a + (n-1)(d) [where a is first term, d is common difference]-3 + (n-1)(-2)-3 -2n + 2-2n -1So 31st term:
-2(31) -1-63………………………………………………..
Answers
Answer:
option c, 20
Step-by-step explanation:
Interquartile range is Q3 - Q1
Q3 is the upper end of the box: 35
Q1 is the lower end of the box: 15
35 - 15 = 20
You pick a card at random.
2
3
4
5
What is P(prime)?
Write your answer as a fraction or whole number.
Answers
Answer:
[tex]\displaystyle P(\text{Prime})=\frac{3}{4}=0.75[/tex]
Step-by-step explanation:
[tex]\displaystyle P(\text{Prime})=\frac{\text{Number of Primes}}{\text{Total}}=\frac{3}{4}=0.75[/tex]
Solve the 3D figure Rectangle is A=BH
Triangle is A=1/2BH
Answers
Answer:
The area of the 3d figure
Step-by-step explanation:
the area of the one of triangle is 8.7
and the reactangle is 5 x 7 = 35
and the big one is 10 x 7 = 70
so 8.7 + 8.7 + 35 + 35 + 70 = 157.4
Solve the inequalities -150x ≥ − 2,400 and -336 ≥ − 21y.
x<
y >
Answers
Answer:
x ≤ 16y ≥ 16Step-by-step explanation:
-150x ≥ − 2,400
[tex]\Longrightarrow -\frac{1}{150} \times \left( -150\right) x \leq -\frac{1}{150} \times \left( -2400\right)[/tex]
[tex]\Longrightarrow x\ \leq \frac{-2400}{-150}[/tex]
[tex]\Longrightarrow x\ \leq 16[/tex]
===============
-336 ≥ − 21y
[tex]\Longrightarrow -\frac{1}{21} \times \left( -336\right) \leq -\frac{1}{21} \times \left( -21\right)y[/tex]
[tex]\Longrightarrow 16\geq y[/tex]
[tex]\Longrightarrow y\geq 16[/tex]
Valerie is wrapping a box with wrapping paper the volume of the box is 476.16 cubic inches, and the length and width of the box are 4.8 inches and 8 inches respectively. How much wrapping paper is needed to cover the box?
Answers
The surface area of the rectangular box = the amount of wrapping paper needed to cover the rectangular box = 394.24 in.²
What is the Surface Area of a Rectangular Box?Surface area = 2(wl + hl + hw).
Volume = lwh.
Given the following:
Volume = 476.16 in.³
Length = 4.8 in.
Width = 8 in.
Find the height (h) using the volume formula:
476.16 = 4.8 × 8 × h
476.16 = 38.4 × h
476.16/38.4 = h
h = 12.4 in.
Surface area = 2(wl + hl + hw) = 2(8 × 4.8 + 12.4 × 4.8 + 12.4 × 8) = 394.24 in.²
The amount of wrapping paper needed to cover the rectangular box = Surface area = 394.24 in.²
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write a real-world problem that can be represented by the equation x+500=4732
Answers
Answer:
7858
Step-by-step explanation:
hope it helps you bye
Check whether (2,-3) and (-1, 5) are solutions of the equation
4x+ y =1
Answers
Answer:
So the first one the false the second one it true
Step-by-step explanation:
4(2)+(-3)=1 FALSE
4(-1)+5 = 1 TRUE
Which of the following represents the solution set to the equation: x2 + 2x + 26 = 0?
(1) 1 + 10i
(3) -2 + 2iV5
(2) 2 + iv5
(4) -1 ‡ 5i
Answers
Answer:
i think the answer is 4
Step-by-step explanation:
hope it's correct
Area of perimeter of composite figures puzzle question B.
Answers
Area and perimeter of figure be: 562.08 m² and 123.68 m
What is Area and perimeter?Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
The figure comprises of a parallelogram and semicircle.
1. For Area
Area of parallelogram = base x height
= 24 x 14
= 336 m²
Area of semicircle = (π x r²)/2
= (3.14 * 12 * 12)/2
= 226.08 m²
Total Area of the figure = 336+ 226.08 =562.08 m²
2. Perimeter
Perimeter of parallelogram= 2 (a+b)
= 2 (19 +24)
= 86 m
Perimeter of semicircle= π * r
= 3.14 * 12
= 37.68 m
Total Perimeter of the figure= 86 + 37.68 = 123.68 m
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What is the arc length of ab?
Answers
Answer:
Step-by-step explanation:
[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=13\\ \theta =115 \end{cases}\implies \begin{array}{llll} s=\cfrac{(115)\pi (13)}{180}\implies s=\cfrac{299\pi }{36} \\\\\\ s\approx 26.09~in \end{array}[/tex]
Hello! I need respondents for a survey that I'm doing for a math project, it will only take about 2 minutes and it only has 7 simple questions about sleep. My goal is to get 50 people to answer. Thank you! https://surveyswap.io/surveys/3f10b0ac-0fa7-44b5-8ad6-b5f98bc7e60b/take-a-survey
Answers
Answer:
It wont work for me
Step-by-step explanation:
my school computer.
Answer this please Answer
Answers
Answer:
A. 6/10
Step-by-step explanation:
Answer:
the answer is a 6
_
10
Step-by-step explanation:
An ice cube tray holds 12 ice cubes. If the total volume of the ice in the
tray is 12 in3, what is the total surface area of the ice cubes?
Answers
Answer:
36
Step-by-step explanation:
12 multiplied by 3 is 36
A square picture is mounted on a larger rectangular sheet of poster paper leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides. The sheet of poster apper has an area of 42 square inches. If x represents the length of a side of the square picture, then an equation that can be used to determine the value of x is
Answers
An equation that can be used to determine the value of x is x² + 5x - 36 = 0.
To answer the question, we need to know what equations are
What is an equation?An equation is an expression which shows the relationship between two variables.
Given that the x represents the length of side of the square picture and the rectangular sheet poster leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides.
Then,
The width of the rectangular poster is W = x + 2 + 1 = x + 3. The length of the rectangular poster is L = x + 1 + 1 = x + 2So, the area of the rectangular sheet poster is A = LW
= (x + 2)(x + 3)
Since the rectangular sheet poster has an area of 42 square inches, A = 42 in².
So, (x + 2)(x + 3) = 42
x² + 3x + 2x + 6 = 42
x² + 5x + 6 - 42 = 0
x² + 5x - 36 = 0
So, an equation that can be used to determine the value of x is x² + 5x - 36 = 0.
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In the diagram, A||B and B||C . Find the values of X
Answers
keeping in mind that an absolute value expression is really a duet in disguise, namely there's positive and negative version of it, Check the picture below.
[tex]\pm (3x+12)~~ = ~~105 \\\\[-0.35em] ~\dotfill\\\\ +(3x+12)~~ = ~~105\implies 3x=93\implies x=\cfrac{93}{3}\implies \boxed{x=31} \\\\[-0.35em] ~\dotfill\\\\ -(3x+12)~~ = ~~105\implies 3x+12=-105\implies 3x=-117 \\\\\\ x=\cfrac{-117}{3}\implies \boxed{x=-39}[/tex]
Bruce is going to call one person from his contacts at random. He has 252525 total contacts. 202020 of those contacts are from his neighborhood.
What is \text{P(call a person not from his neighborhood})P(call a person not from his neighborhood)start text, P, left parenthesis, c, a, l, l, space, a, space, p, e, r, s, o, n, space, n, o, t, space, f, r, o, m, space, h, i, s, space, n, e, i, g, h, b, o, r, h, o, o, d, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
Answers
The probability of calling a person, not from his neighborhood, is 1/5 or 0.2 if the total number of contacts is 25
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of contacts = 25
Total number of contacts of neighbors = 20
Total number of contacts which is not of the neighbors = 25 - 20 = 5
The probability of call a person not from his neighborhood:
P = 5/25 = 1/5
P = 0.2
Thus, the probability of calling a person, not from his neighborhood is 1/5 or 0.2 if the total number of contacts is 25
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Answer: 1/5 or 0.2
Step-by-step explanation:
can someone help me with this problem? thanks!
Answers
Answer:
100m^2
Step-by-step explanation:
All sides of a square are equal so 10m x 10m = 100m. The answer is 100m^2 because it is a 2D figure.
HELP ME!!!! 50 POINTS!!!!!
Answers
Answer:
1. Height of the prism= h
2. area of the base= B
3. Perimeter of the base= P
Step-by-step explanation:
Here are what the letters mean:
P = perimeter of the base
h = height of the prism
B = area of the base
From the set of the first ten natural numbers,if you pick a number at a time what is the probability of the number you pick to be:an even number
Answers
Answer:
0.5
Step-by-step explanation:
Half the natural numbers picked are going to be even numbers:
{2, 4, 6, 8, 10}. Thus the probability of the picked number being even is 5/10, or 0.5.
The region outside the circle r = 2 and inside the circle r = -4sin
Answers
The area of the region which is inside the curve r = -4 sinθ but outside r = 2 will be 4.21 square units
What is an area bounded by the curve?When the two curves intersect then they bound the region is known as the area bounded by the curve.
The region outside the circle r = 2 and inside the circle r = - 4 sinθ.
Then the intersection point will be given as
[tex]\rm 2 = -4 \sin \theta\\\\\theta = 3.66519 ,5.7595[/tex]
Then by the integration, we have
[tex]\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [(-4\sin \theta)^2 - (2)^2] dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [16 \sin ^2 \theta - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [ 8(1- \cos 2\theta -) - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [4 - \cos 2\theta] dx\\\\\\[/tex]
[tex]\rightarrow \dfrac{1}{2} \left [ 4\theta + \dfrac{1}{2} \sin 2\theta \right ]_{3.6652}^{5.7595} \\\\\\\rightarrow \dfrac{1}{2} \left [ 4(5.7595 - 3.6652) + 0.5 (0.19969-0.12759) \right ][/tex]
[tex]\rightarrow \dfrac{1}{2} \left [ 4(2.0943) + 0.5 (0.0721) \right ]\\\\\rightarrow \dfrac{1}{2} \left [ 8.41325 \right ]\\\\\rightarrow 4.2066 \approx 4.21[/tex]
Thus, the area of the region is 3.75 square units.
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What is the solution to:
2x - 8 < 12
a. x < 2
b. x < 8
c. x < 10
d. x < 40
Answers
- -- - - -- - - - -- - - - - -- - - - - -- - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - -- - -
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the solution to 2x-8<12
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
First, add 8 on both sides:-
2x<12+8
2x<20
Divide by 2 on both sides:-
x<10 (Option C)
So the numbers less than 10 will make this inequality true.
Good luck.- -- - - - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - - -
Rule 1: Add 6 starting from 0. Rule 2: Add 3 starting from 0. Complete the first 5 terms using the rules. How are the corresponding terms related? Each term in the second sequence is double the corresponding term in the first sequence. Each term in the second sequence is half the corresponding term in the first sequence. Each term in the first sequence is four times the corresponding term in the second sequence. Each term in the first sequence is half the corresponding term in the second sequence.
Answers
Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t. The period of circular motion of the alpha particles is closest to
Answers
Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t. The period of the circular motion of the alpha particles is closest to 0.11μs.
How do find the time period in a cyclotron?The period of the circular motion of the alpha particles moving along an in the presence of the magnetic field is given by;
[tex]T = \dfrac{2\pi m}{qB}[/tex]
Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t.
We are given;
Mass; m = 6.68 × 10^(-27) kg
Magnetic field;B = 0.90 T
Charge;q = 2e
Now, e is the charge on an electron and it has a value of 1.6 × 10^(-19) C
So, q = 2 × 1.6 × 10^(-19)
q = 3.2 × 10^(-19) C
we know that,
[tex]T = \dfrac{2\pi m}{qB}[/tex]
we have;
[tex]T =\dfrac{ (2\pi \times 6.68 \times 10^{-27})}{(3.2 \times 10^{-19}\times 0.9)}\\T =11.798 \times 10^{-8} s[/tex]
This can also be written as;
T ≈ 0.11 μs
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True or False? The best answer gets brainliest.
Answers
Answer:
false, true, fale
Step-by-step explanation: hi
2: True. The X axis is ALWAYS horizontal. The Y axis is ALWAYS vertical.
3: False. (0,0) is the only origin when it comes to coordinate planes.
Find the area and perimeter of this shape.
Answers
Answer:
55
Step-by-step explanation:
since, it is a parallelogram we can find the area easily just by multiplying the base and height
A=bh
A=55m2
Please help me on this!
Answers
Answer:
C
Step-by-step explanation:
Linear functions will be greater than exponential functions at first- however, exponential equations will gradually surpass the linear equation.
HELP!!!!!!!!!!!!!!!!!
Answers
Answer:
To do this I am pretty sure your going to have to do some hard calculations.
Lets go deeper
so because it is a rectangle every angle is a right angle according to the property of a rectangle.
A right angle is 90 degress
So 8x+18=90
90-18=72
8x=72
72/8=9
x=9
Feel free to do brainlest if correct
Please Help ! Its a math problem !!! Given the tables below, what is the difference between the average rates of change over the interval [1, 4]?
Answers
Answer:
-4
Step-by-step explanation:
Average rate of change (Table 1) :
A(x) = h(4) - h(1) / 4 - 1A(x) = 9 - 3 / 4 - 1A(x) = 6/3 = 2Average rate of change (Table 2) :
A(x) = j(4) - j(1) / 4 - 1A(x) = 0 - 6 / 4 - 1A(x) = -6/3 = -2Difference : -2 - 2 = -4
The weights of 5 girls are 70 pounds, 68 pounds, 85 pounds, 62 pounds, and 70 pounds. Nina finds measures of center and measures of variation of this data. Match the descriptions to the type of measure.
Answers
Answer:
360 I'm sure that's is answer thank you po