By using linear inequation, it can be calculated that -
Option A and D is true when d is -13
What is linear inequation?
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by
>, <, ≥, ≤
A one degree inequation is known as linear inequation.
Here, four sets of linear inequations are given
For option A
-d - 5 ≥ 5
-d ≥ 5 + 5
-d ≥ 10
d ≤ -10
-13 is satisfied here
For option B
d - 5 ≥ -5
d ≥ -5 + 5
d ≥ 0
-13 is not satisfied here
For option C
-d - 5 ≤ 5
-d ≤ 5 + 5
-d ≤ 10
d ≥ -10
-13 is not satisfied here
For option D
d - 5 ≤ -5
d ≤ -5 + 5
d ≤ 0
-13 is satisfied here
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PLEASE PLEASE PLEASE LOOK AT THIS & HELP ME
Answer:
(4, - 5 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ) , thus
(5, 4 ) → (4, - 5 )
Answer:
(4,-5)
Step-by-step explanation:
Definition : Rotate around the origin 270 degrees. ' Since the rule for a 270 degrees rotation is (x, y) --------> (y, -x)
P(5,4) the mage is x=4, y=-5
A number cube is rolled and a marble is selected at random from a bag containing 2 green marbles, 2 yellow marbles, 2 red marbles, 1 purple marble, and 1 blue marble. Find each probability. Show your work. 1. P(1 and red) 2. P(3 and purple) 3. P(even and yellow) 4. P(odd and not green)
Answer:
1)
1 /6 × 1/8
1/6×8
1/48
2)
3/6 ×1/8
2×1/8
1/4
3)
3/6 ×1/8
2×1/8
1/4
4)
3/6×4/8
2÷2
1
I NED ANSWERS TO ALL 4 OF THEM!!! PLEASE HELP ASAP!!
Name all angles when there are two parallel lines cut by a transversal?
Alternate interior angles
Corresponding angles
Vertically opposite
From figure 1,
Since the angles marked with colour fulfil the vertically opposite angles properties ,so
(2x+35)° = (8x-49)°
⇒(2x-8x)=(-49-35)°
⇒-6x=-84
⇒x = 14°
Hence , x = 14°
From figure 2,
Since the angles marked are corresponding angles,therefore on equating both angles we get
(10x-18)°=(15x-48)°
⇒(10x-15x)=(-48+18)°
⇒-5x = -30°
⇒ x = 6°
From figure 3,
Since the given two angles are alternate interior angles ,so
(7x+5)°=(12x-75)°
⇒(7x-12x)=(-75-5)°
⇒-5x=-80°
⇒x = 16°
From figure 4 ,
Since the two angles lies in a straight line ,so sum is 180°
(27x-21)°+(10x-16)°=180°
⇒37x -37° = 0
⇒ x = 1°
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Tina wrote the equations 3 x minus y = 9 and 4 x + y = 5. What can Tina conclude about the solution to this system of equations?
Answer:
(2, –3) is a solution to the system of linear equations.
Step-by-step explanation:
Given: Equations:
3x - y = 9 --------(1),
4x + y = 5 --------(2),
Add Equation (1) + Equation (2),
3x + 4x = 9 + 5
7x = 14 ( Combine like terms )
x = 2 ( Divide both sides by 7 ),
From equation 1:
3(2) - y = 9
6 - y = 9
-y = 9 - 6 ( Subtraction 6 on both sides )
-y = 3
y = - 3 ( Multiplying -1 on both sides )
(5) 3x+5=0 will have Solutions: Two three no solution
For the given equation, The solution is -5/3 , Since it is a single solution to the equation ,so answer is one.
The given equation is 3x + 5 = 0, solve for x. The given equation is 3x + 5 = 0To solve the given equation, we need to isolate x to one side of the equation. Here, we need to isolate x, so we will subtract 5 from both sides.3x + 5 - 5 = 0 - 5. Simplify the above equation.3x = -5. Divide both sides by 3 to isolate x.3x/3 = -5/3.
Therefore, the solution of the given equation 3x + 5 = 0 is x = -5/3.This equation has only one solution, x = -5/3.Therefore, the correct option is 'one.'
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Circle the two smallest numbers.
3.68
3.06
3.7
3.08
36.8
3.068
The Smallest numbers is 3.068 and 3.6
What is meant by smallest numbers ?Check the whole number portion of each decimal number before placing them in ascending order. Since 4 is the smallest whole number, the smallest decimal number is 4.926. The remaining decimal digits all contain the same whole number, or 18.
The least number among those given is 1.
The smallest three-digit number in the number system is 100, which becomes a two-digit number, which is 99, when one is deducted from the number (a two-digit number). Therefore, in the number system, 100 is the smallest three-digit number. The smallest three-digit number is 100, which is so proven.
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A straw that is 15cm long leans against the inside of a glass. The diameter of a glass is
5cm, and has a height of 8cm. How far past the edge of the glass would the straw extend?
Round your answer to the nearest tenth.
The straw would extend approximately 4.9 cm past the edge of the glass.
A leaking faucet was found in one of the labs in S\&E building. If a faucet is dripping at a rate of one drop per second and each drop contains 0.150 milliliters, calculate how much water (in liters) will be lost in one year.
A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.
To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).
In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.
Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).
Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.
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I will brainless who can answer this all pleaseeeeej
17) D
19) B
20) C
21) D
These are the answers
A bedroom has a length of x + 6 feet and a width of x feet. Find the area of the bedroom, y, when x = 12.
The area equation is y =
When x = 12, the area is
ft?
Help!
Step-by-step explanation:
A=l×b
y=x(x+6)
y=x^2+6x
when x is 12
y=12^2+6(12)
y=144+72
y=216 ft
two years a go man was 6 times as old as his daughter. In 18 years, he will be twice as old as his daughter. What are their present ages
If the man's age was 6 times as old as his daughter and will be twice after 18 years then the present age of daughter is 7 and her father is 32.
Given that age of a man was 6 times as old as his daughter and in 18 years, he will be twice as old as his daughter.
We are required to find the present ages of both daughter and her father.
Let the age of daughter before 2 years be x.
The equations are as under:
In this way the father's age was 6x.
Present age of daughter be x+2,
Present age of her father be 6x+2.
After 18 years the age of daughter be x+2+18=x+20
After 18 years the age of her father be 6x+2+18=6x+20
It is also given that the age of her father will be 2 times the age of the daughter. So, 2(x+20)=6x+20.
2x+40=6x+20
40-20=6x-2x
20=4x
x=5
Present age of daughter=5+2=7 years.
Present age of her father=6*5+2=30+2=32 years.
Hence if the man's age was 6 times as old as his daughter and will be twice after 18 years then the present age of daughter is 7 and her father is 32.
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A store sells three varieties of cheese cheddar, Gouda, and Swiss. Each variety of cheese is available in two different styles shredded or sliced. How many possible outcomes for the variety and style of cheese are there?
Answer:
6 possible outcomes
Step-by-step explanation:
To solve this problem, we have to make use of the Fundamental Counting Principle formula.
The formula counting principle states that when we are given two or more distinct events, in order to get the total number of possible outcomes, we multiply such events together.
In the above question, we are given two events.
Event 1
3 varieties of cheese: Cheddar, Gouda, and Swiss.
Event 2
2 styles of cheese: Shredded and Sliced
The possible outcomes for the variety and style of cheese = Event 1 × Event 2
= 3 × 2
6 possible outcomes.
These 6 Possible outcomes are listed below:
1) Cheddar cheese , Shredded
2) Cheddar cheese , Sliced
3) Gouda cheese , Shredded
4) Gouda cheese , Sliced
5) Swiss cheese , Shredded
6) Swiss cheese , Sliced
Find the measure of each angle in the triangle.
Answer:
x=26°
Step-by-step explanation:
3x-14+x+90=180
4x-14=90
4x=104
x=104/4
x=26°
Al llegar al hotel nos an dado un mapa con los lugares de la ciudad nos dijieron que 5 cm del mapa que representaban 600 metros de la realidad hoy queremos ir a un par que que se encuentra a 8 cm del hotel en el mapa
Pregunta completa:
Al llegar al hotel nos an dado un mapa con los lugares de la ciudad nos dijieron que 5 cm del mapa que representaban 600 metros de la realidad hoy queremos ir a un par que que se encuentra a 8 cm del hotel en el mapa. ¿A qué distancia del hotel está la pareja?
Respuesta: 960m
Explicación paso a paso:
Dado que:
5 cm en el mapa equivale a 600 m en tierra Por lo tanto,
8 cm en el mapa será equivalente a:
5 cm en el mapa - - - - - -> 600 m en el suelo 8cm - - - - - - -> y metros en el suelo
Usando la multiplicación cruzada
y × 5 = 8 × 600
5y = 4800 Luego,
y = 4800/5
y = 960m
Por lo tanto, 8 cm en el mapa serán 960 m en realidad.
Answer:
a 1,680 metros
Step-by-step explanation:
5:600 - 600/5= 120 cada cm
14x120= 1,680 metros
How many people are in the office?
Answer:
around 150
Step-by-step explanation:
A house was bought for £1000000
It’s value appreciates by 7.5% each year for the first three years, what was its value at the end of the three years
Answer:
1240000 (3 sig. fig.)
Step-by-step explanation:
1000000x(1.075)^3 ~= 1242296.875 = 1240000 (3 sig. fig.)
Your employee is flying from Detroit to Phoenix with a stop in Atlanta. the flight from Detroit to Atlanta is on time 70% of the time while the flight from Atlanta to Phoenix is on time 80% of the time. What will your employee tend to conclude about the chances of arriving at Phoenix on time?
a) Neither overestimate nor underestimate the chances of arriving on time
b) Overestimate the chances of arriving on time
c) Underestimate the chances of arriving on time
d) Underestimate the changes of arriving at Atlanta on time and overestimate the chances of arriving at Phoenix on time
Underestimate the chances of arriving on time. Probability is a measure of the likelihood of an event occurring. It is usually expressed as a decimal or fraction between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will definitely occur.
The correct option is (c)
Now, According to the question:
Let's know:
What is Probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
To determine the probability that your employee will arrive at Phoenix on time, you need to multiply the probabilities of the two flights being on time. Probability can be used to make predictions about the outcome of an event or to understand the likelihood of different outcomes occurring.
The probability that the flights will both be on time is:
70% x 80% = 56%.
This is less than the probability of either flight being on time individually, so your employee would tend to underestimate the chances of arriving on time.
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seven divided by the difference of a number and ,2 minus 6 divided by a number plus ,2 equals 8 times the reciprocal of the difference of the number squared and 4. what is the number?
The number could be either 2 or -2.
To solve the equation, we can follow these steps:
1. Let's assume the number is represented by "x".
2. According to the given information, the equation can be written as:
\(7 / (x - 2) - 6 / (x + 2) = 8 * (1 / (x^2 - 4))\)
3. To simplify the equation, let's find the common denominator.
The common denominator for \((x - 2)\) and \((x + 2)\) is \((x^2 - 4).\)
4. Multiplying each term by \((x^2 - 4)\), we get:
\(7(x^2 - 4) - 6(x^2 - 4) = 8\)
5. Expanding and simplifying the equation:
\(7x^2 - 28 - 6x^2 + 24 = 8\)
\(x^2 - 4 = 0\)
6. Now, let's solve for x by factoring:
\((x - 2)(x + 2)\)
\(= 0\)7. Setting each factor equal to zero:
\(x - 2 = 0 \\x + 2 = 0\)
8. Solving for x in each equation:
\(x = 2 \\ or \\x = -2\)
Therefore, the number could be either 2 or -2.
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Which ordered pairs lie on the graph of the exponential function f(x)=3(14)x? Select each correct answer. (1, 0.75) (-3,-192) (0,1) (-1,12)
The ordered pair that lie on the graph of the exponential function f(x)=3(14)ˣ is (-1, 12)
What is exponential graph?A curve that depicts an exponential function is known as an exponential graph.
The curve have a horizontal asymptote and either an increasing slope or a decreasing slope. this is to say that the curve begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates. It may or may not cut the x-axis, but it always cuts the y-axis at some point.
An exponential graph will almost always have a y-intercept but not necessarily an x-intercept.
The given function was plotted on a graph and the point that lie on the graph is (-1, 12).
the point (-3,-192) is way out of the graph
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What is the value of i^2
Answer: i^2 = -1
Step-by-step explanation:
NVM Ignore this answer (:::::::
How do you Simplify the expression. –3x(4–5x) + (3x + 4)(2x – 7)
The simplified expression is \(21x^2 - 25x - 28\) in the given case.
An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.
"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.
To simplify the expression, first distribute the -3x and (3x + 4) terms:
\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)
Next, combine like terms:
\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)
Therefore, the simplified expression is \(21x^2 - 25x - 28.\)
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In the definition of Imaginary Numbers i2 = 1, 1) How can we evaluate i10 ? I need the work step- by-step.
The final answer is -1.
The definition of Imaginary Numbers is actually i2 = -1. With this definition, we can evaluate i10 by using the rules of exponents and the fact that i2 = -1. Here are the steps to evaluate i10:
1. Rewrite i10 as (i2)5 using the rule of exponents that (ab)c = abc.
2. Substitute -1 for i2 using the definition of Imaginary Numbers.
3. Simplify (-1)5 to get -1.
So, i10 = (i2)5 = (-1)5 = -1. The final answer is -1.
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Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!
The total amount of weight gained by the dogs that gained half a pound each is \(2\frac{1}{2}\) pounds.
What are the types of representing data?Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.
Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.
The given line plot represents the total amount of weight gained by the dogs that gained (1/2) a pound each.
From the given information the number of dogs gained (1/2) pound are,
1 + 2 + 2 = 5 dogs (observe the fractions given).
Therefore, the total amount of pounds is = 5×(1/2) = 2.5 pounds.
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Suppose that there are three investment plans available for employees of a company: A, B and C. An employee can only switch from one plan to another at the end of each year. The probability that someone in Plan A will continue with A is 20%, switch to Plan B is 40%, switch
to Plan C is 40%. The probability that someone in Plan B will switch to plan A is 20% and switch to Plan C is 80%. The probability that someone in Plan C will switch to Plan A is 30%, switch to plan B is 10% and continue with C is 60%.
(a) Write down the transition matrix P.
(b) Let Xn denote the probability vector describing the probabili- ties that an employee uses Plan A, B or C in Year n. If Xo = [0.5, 0.5,0], find X1 and X2.
(a) transition matrix:
(b)the probability vector describing the probabilities that an employee uses Plan A, B or C in Year 2 is X2 = [0.23, 0.175, 0.595].
(a) The transition matrix P can be obtained by grouping all transition probabilities. We obtain the following matrix:
(b) If Xo = [0.5, 0.5, 0], then X1 can be obtained by multiplying the probability vector Xo by the transition matrix P. We obtain the following: X1 = Xo * P = [0.2, 0.25, 0.55]
Similarly, X2 can be obtained by multiplying X1 by P. We obtain the following: X2 = X1 * P = [0.23, 0.175, 0.595].
Thus, the probability vector describing the probabilities that an employee uses Plan A, B or C in Year 2 is X2 = [0.23, 0.175, 0.595].
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The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.50. If the total cost of the trip is $248.50, what is the price of each train ticket?
Answer:
Step-by-step explanation:
it’s B
Bro I don't know haha
19+13x=32 plz help A:1 B:3/12/13 C:169. D:663
Answer: A
Step-by-step explanation:
19+13x+32
13x=32-19
13x=13
x=1
Is the question ''how many cars were sold each day this month'' statistical or not?
x =2y - 4
x + 5y = -66
what is the x - value of the solution to this system of equation
Answer:x=-8 and y=-2
Step-by-step explanation:plug in for x.7(2y-4)+5y=6-6614y-28+5y=-6619y-28+-6619y=-38y=-2put it back in.
23
6. A penny weighs 2.5 grams while a dime weighs about 2.27 grams. How much do a penny and two dimes weigh?
O2.04 g
5.68 g
4.77 g
7.04
Answer:
7.04
Step-by-step explanation:
2.27
2.27
2.50 equals 7.04
What is the answer of 14.8-4b-(17.1-3b)
the answer choices are:
A. 0.375
B. 3.75
C. 37.5
D. 375