Answer:
See below ↓↓↓
Step-by-step explanation:
Subquestion #1
These angles form a linear pairThey are supplementary, and add up to 180°2x + 48 = 1802x = 132x = 66Subquestion #2
These angles are complementary, and add up to 90°35 + 4x + 7 = 904x + 42 = 904x = 48x = 12Subquestion #3
As in #1, they are a linear pair, and are supplementary3x + 54 = 1803x = 126x = 42#1
Linear pair\(\\ \rm\Rrightarrow 2x+48=180\)
\(\\ \rm\Rrightarrow x+24=90\)
\(\\ \rm\Rrightarrow x=66\)
#2
Complementary angles\(\\ \rm\Rrightarrow 4x+7+35=90\)
\(\\ \rm\Rrightarrow 4x+42=90\)
\(\\ \rm\Rrightarrow 4x=48\)
\(\\ \rm\Rrightarrow x=12\)
4x+7=4(12)+7=55°#3
\(\\ \rm\Rrightarrow 3x+54=180\)
\(\\ \rm\Rrightarrow 3x=126\)
\(\\ \rm\Rrightarrow x=42\)
You have the same bowl, with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. You take out an orange candy from the bowl. What is the new probability that you will draw another orange candy? A 1 5 5 1 B 1 6 6 1 C 1 8 8 1 D 5 2 4 24 5
Answer: 3/8
Step-by-step explanation: You have a 1 in 5 chance of pulling an orange.
5/25, or if you need to simplify then 1/5
The same phone company offers another plan where they charge $15 per month and $0.25 for each call made or received. Write and evaluate an expression to find the cost for 40 calls during one month. Then make a table showing the cost for 40, 50, 60 and 70 calls.
Answer:
15+0.25(40)=25 dollars total
0.25(40)=10 dollars just for the 40 phone calls
___calls__________money_________
40 = 10
50 = 12.5
60 = 15
70 = 17.5
Step-by-step explanation:
25 cents times 40 phone calls would be 10 dollars then you have to add the standard 15 dollars per month for the plan to get your total cost per month if you were to make 40 phone calls.
The time until the next car accident for a particular driver is exponentially distributed with a mean of 200 days. Calculate the probability that the driver has no accidents in the next 365 days, but then has at least one accident in the 365-day period that follows this initial 365-day period.
The probability that the driver has no accidents in the next 365 days, but then has at least one accident in the 365-day period that follows this initial 365-day period, is approximately 0.204.
Let X be the time until the next accident for the driver. We know that X is exponentially distributed with a mean of 200 days, which means that its probability density function (PDF) is:
\($f(x) = \frac{1}{200} e^{-\frac{x}{200}} \text{ for } x > 0$\)
We want to calculate the probability that the driver has no accidents in the next 365 days (i.e., from day 0 to day 365), but then has at least one accident in the 365-day period that follows (i.e., from day 366 to day 730). We can express this probability as:
P(no accidents in first 365 days) * P(at least one accident in next 365 days | no accidents in first 365 days)
The probability of having no accidents in the first 365 days is simply the cumulative distribution function (CDF) of X evaluated at x = 365:
\($F(365) = \int_{0}^{365} f(x) dx = 1 - e^{-\frac{365}{200}} \approx 0.451$\)
The probability of having at least one accident in the next 365 days, given that there were no accidents in the first 365 days, can be calculated using the memoryless property of the exponential distribution:
P(at least one accident in next 365 days | no accidents in first 365 days) = P(X < 365) = F(365) ≈ 0.451
Therefore, the probability we are interested in is:
P(no accidents in first 365 days) * P(at least one accident in next 365 days | no accidents in first 365 days)
= 0.451 * 0.451 ≈ 0.204
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HELP ILL MARK YOU BRAINLIST
Answer:
-2
Step-by-step explanation:
You can see that when x goes up by 1, y goes down by 2. This means the rate of change is -2
Answer:
The rate of change is -2
Step-by-step explanation:
Take any two points from the graph. (0,-4) and (-2,0). Plug them into the equation y2-y1/x2-x1. In this case the equation would be 0--4/-2-0. Simplify this and get 0+4/-2-0. Simplify again and get 4/-2 which is -2
Therefore the rate of change is -2
Hope this helps
301,251,769 to the nearest ten thousand
Answer:
301,250,000
I'm pretty sure that's it.
Which of the following is the best definition for the word "proportion"
an average combined value of numbers in a data set
an equation stating that two ratios are equivalent
a relationship between quantities
a number that describes the direction and steepness of a line
PLS HELP
Answer:
The. second one i think because proportion is amount to somthing elese
need help on this too
Answer:
The reflexive property of equality states that any number is equal to itself. This property has no proof, as it is the fundamental building-block of all other proofs.
Step-by-step explanation:
the product of 8 and p
Answer:
8p
Step-by-step explanation:
Multiply 8 and p.
Help I need the answer dont send NO FILE only answer if you know it step by step explanation
Jimmy, Jimbo and Jim Bob are all GT Algebra II students. It takes Jimmy 8 minutes to solve a 3-variable substitution problem without a calculator. Together, it takes Jimbo and Jim Bob 6 minutes to solve a 3-variable substitution problem without a calculator. If Jim Bob can solve a problem by himself in 14 minutes, how long would it take Jimbo to solve a problem alone?
It would take Jimbo
Question Blank 1 of 1
type your answer. Minutes to solve a problem alone
It would take Jimbo 24 minutes to solve a 3-variable substitution problem alone.
Let's assume that Jimbo takes x minutes to solve a 3-variable substitution problem alone.
We know that Jimmy takes 8 minutes to solve the same problem alone, so his work rate is 1/8 of the problem solved per minute.
Together, Jimbo and Jim Bob can solve the same problem in 6 minutes. This means that their combined work rate is 1/6 of the problem solved per minute.
We can set up the following equation to represent the work rates:
1/8 + 1/x = 1/6
To solve for x, we can multiply both sides of the equation by 24x:
3x + 24 = 4x
x = 24
Therefore, it would take Jimbo 24 minutes to solve a 3-variable substitution problem alone.
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Observe the expression below and select the true statement(s). The "a" in the first term is a factor. The "(a + 1)" in the first term is a factor. The "3" in the last term is a constant. The "b" in the second term is an exponent. The "1" in the first term is a coefficient. The "4" in the second term is a coefficient.
Answer:
The true statements are B, D, A
Step-by-step explanation:
Write in slope-intercept form with the given information. Show all work. Passes through (-8,3) with a slope of -2
Answer:
y=-2x-13
Step-by-step explanation:
y=mx+b
3=-2(-8)+b
3=16+b
3-16=b
-13=b
A $52.50 screen door is on
sale for $42. Find the percent
of discount on the door.
Answer:
20%
Step-by-step explanation:
Given/To Find:
A $52.50 screen door is on
sale for $42. Find the percent
of discount on the door.
Solve:
Formula: Value 1 - Value 2 ÷ Original Value × 100
Hence we have:
52.50 - 42 = 10.5
10.5 ÷ 52.50 = 0.20
0.20 × 100
=20%
Check Answer:
52.50 × 20% = 10.5
52.50 - 10.5 = 42
Hence, the percent of discount on the door is 20%
Kavinsky
(180-x)+(90-x) = 124
Answer:
x = 73
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define equation
(180 - x) + (90 - x) = 124
Step 2: Solve for x
Combine like terms: 270 - 2x = 124Subtract 270 on both sides: -2x = -146Divide -2 on both sides: x = 73Step 3: Check
Plug in x to verify it's a solution.
Substitute: (180 - 73) + (90 - 73) = 124Subtract: 107 + 17 = 124Add: 124 = 124What is the SLOPE of the line that goes through the points (20,-3) and
(-16.-3)?
Answer:
0
Step-by-step explanation:
m=y2-y1
____
x2-x1
m=-3-(-3) =(-3+3)/(-36) =0/-36=0
_____
-16-20
Suppose you conduct one experiment and find that the e = mc3, rather than the historically accepted formula, e = mc2. what should you do next?
We will repeat the exact same procedure. Something may have gone wrong.
The special theory of relativity by German-born scientist Albert Einstein contains the equation \(E=mc^{2}\), which conveys the idea that mass and energy are one and the same physical substance and may be transformed into one another. The kinetic energy (E) of a body is equal to its increased relativistic mass (m) multiplied by the square root of the speed of light.
Because the mass and the speed of light are both constants, we are unable to test a new variable. Since our findings don't match the accepted formula, we cannot share them.
The result obtained is wrong we cannot apply it to another experiment. The only way we can find the correct result is by repeating the experiment. Because something may have gone wrong on the first attempt.
Therefore, the correct answer is
d) Repeat the exact same procedure.
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The correct question is: Suppose you conduct one experiment and find that the \(E=mc^{3}\), rather than the historically accepted formula, \(E=mc^{2}\). What should you do next?
a.Test a new variable
b.Share your findings
c.Apply your results to a new experiment
d.Repeat the exact same procedure
6- Karen is making a frame for a square picture with an area of 169 square inches. How
many inches of framing are needed?
a) 13
b) 14
c) 15
d) 16
PLEASE HURRY! I WILL MARK YOU BRAINLIST OR WHATEVER... IF YOU DO IT PLEASE
Answer: a
Step-by-step explanation:
Tell me if it is correct
Um avião levanta voo na cidade de Vitória - ES com destino a São Paulo - SP. Durante os dez primeiros minutos de voo, sua velocidade aumenta até atingir 800 km/h. A partir daí, o piloto automático é acionado, e essa velocidade permanece constante até que, cinquenta minutos após a decolagem, o piloto é orientado pela torre de controle para reduzir a velocidade para 600 km/h. Três minutos após essa orientação, o avião atinge 600 km/h e permanece nessa velocidade por mais 17 minutos, até iniciar os procedimentos de pouso na cidade de São Paulo, onde sua velocidade diminui até o pouso. O gráfico que melhor representa a velocidade desse avião em função do tempo é
Responda:
GRÁFICO DE TEMPO DE VELOCIDADE
Explicação passo a passo:
Para a pergunta, encontre o gráfico de velocidade-tempo no anexo.
O gráfico que melhor representa a velocidade desse avião em função do tempo é o gráfico velocidade-tempo. O gráfico de velocidade e tempo é um gráfico que representa o movimento de um objeto esquematicamente usando linhas. Ele é plotado em um plano de coordenadas com o eixo xe o eixo y.
A função de velocidade é posicionada no eixo y, enquanto o tempo gasto ao longo da viagem está no eixo x.
Pelo anexo, pode-se ver que o avião acelera em OA, possui velocidade constante em AB e CD e tem aceleração (desaceleração) negativa em BC e DE.
At Wegmans a 12 pack of paper towels costs $15.72. At Tops a 10 pack of paper towels cost $13.35. Which store has the better buy? What is the difference in unit prices?
Answer:
Wegman's, roughly 3 cents
Step-by-step explanation:
Divide the price by the number of paper towels in the pack to get the unit price.
$15.72/12= $1.31
$13.35/10= $1.335, round since it's money, $1.34
$1.34-$1.31= $0.03 or 3 cents
Wegmans has the better buy, as their unit price is lower.
The difference in unit prices between the two stores is $0.03 per paper towel.
To determine which store has the better buy, we need to compare the unit prices of paper towels at both Wegmans and Tops.
The unit price is the cost per paper towel.
For Wegmans:
Cost of 12 pack of paper towels = $15.72
Number of paper towels in the pack = 12
Unit price at Wegmans = Total cost / Number of paper towels
Unit price at Wegmans = $15.72 / 12 = $1.31 per paper towel
For Tops:
Cost of 10 pack of paper towels = $13.35
Number of paper towels in the pack = 10
Unit price at Tops = Total cost / Number of paper towels
Unit price at Tops = $13.35 / 10 = $1.34 per paper towel
Now, we compare the unit prices:
At Wegmans, the unit price is $1.31 per paper towel.
At Tops, the unit price is $1.34 per paper towel.
The store with the lower unit price has the better buy.
In this case, Wegmans has the better buy, as their unit price is lower.
To find the difference in unit prices:
Difference in unit prices = Unit price at Tops - Unit price at Wegmans
Difference in unit prices = $1.34 - $1.31 = $0.03 per paper towel
So, the difference in unit prices between the two stores is $0.03 per paper towel.
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Which equations have the same value of x as x+3 -- Select three options.
-9
5x+4.-54
15x+4.-9
5x-13
5x -58
will mark brainlest
Answer:
A)5x+4.-54
C)5x -58
B)15x+4.-9
Step-by-step explanation:
please help me with this
Answer:
d. 42 is the 100% correct answer....Hopes it helps you.....Hopes to get BRAINLIEST.......Thank you ☺️
American airlines requires that total outside dimensions (length+width+height) of a checked bag not exceed 62 inches.Suppose you want to check a bag whose height is same as its width.What is the biggest volumn bag of this shape that you can check on an american flight
Answer:
The maximum volume is 35316.4 in^3.
Step-by-step explanation:
Length + width + height is less than equal to 62 inches
Height = width = W
Let the length is L .
\(L + W + W = 62 \\\\L= 62 - 2 W\\\\Volume, V = L W H\\\\V = (62 - 2 W)\times W \times W\\\\V = 62 W^2 - 2 W^3\\\\\frac{dV}{dW}=124 W - 6 W^2\\\\So, \frac{dV}{dW} =0\\\\124 = 6 W\\\\W = 20.67 inches\)
So, the maximum volume is
\(V =124\times 20.67\times 20.67 - 2 \times 20.67^3\\\\V =52978.86 - 17662.46 = 35316.4 inch^3\)
Determine the expected count for each outcome. n = 749
i 1 2 3 4
Pi 0.12 0.39 0.24 0.25
Determine the expected count for each outcome, we multiply the probability of each outcome by the total count. In this case, with n = 749 and the given probabilities, we can calculate the expected count for each outcome.
The expected count for each outcome can be calculated by multiplying the probability of each outcome by the total count, which is n = 749 in this case.
For outcome 1, the expected count is calculated as 0.12 * 749 = 89.88.
For outcome 2, the expected count is calculated as 0.39 * 749 = 291.11.
For outcome 3, the expected count is calculated as 0.24 * 749 = 179.76.
For outcome 4, the expected count is calculated as 0.25 * 749 = 187.25.
Therefore, the expected count for each outcome is approximately 89.88 for outcome 1, 291.11 for outcome 2, 179.76 for outcome 3, and 187.25 for outcome 4. These values represent the average number of occurrences we would expect for each outcome based on the given probabilities and the total count of 749.
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Increase 31 kg by 100%.
D) Does a linear relation exist between the commute time and well-being index score?
A. Yes, there appears to be a negative linear association because r is negative and is less than the negative of the critical value
B. No, there is no linear association since r is positive and is less than the critical value
C. Yes, there appears to be a positive linear association because r is positive and is greater than the critical value
D. Yes, there appears to be a positive linear association because r is positive and is less than the critical value
The correct answer is: B. No, there is no linear association since r is positive and is less than the critical value.
In the given answer choices, it states that r (the correlation coefficient) is positive. A positive correlation indicates a tendency for the variables to move in the same direction. However, the question asks whether a linear relation exists between the commute time and well-being index score, not the direction of the association.
Furthermore, the answer suggests that the correlation coefficient is less than the critical value. The critical value is a threshold used to determine the statistical significance of the correlation. If the correlation coefficient is less than the critical value, it indicates that the correlation is not statistically significant.
Therefore, based on the information given, we cannot conclude that there is a linear relation between the commute time and well-being index score.
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\(x - 4z = 12x - y - 6z = 42x + 3y - 2z = 8\)
The value of x = 16, y = 172 and z = 2.
x - 4z = 12x - y - 6z = 42x + 3y - 2z = 8
let x - 4z = 8 be equation (1), 12x - y - 6z = 8 be equation (2) and 42x + 3y - 2z = 8 be equation (3)
x - 4z = 8
x = 8 + 4z
12x - y - 6z = 8
12(8 + 4z) -y - 6z =8
96 + 48z - y - 6z = 8
42z - y = -88
y = 42z + 88
42x + 3y - 2z = 8
42(8+4z) + 3(42z + 88) - 2z = 8
336 + 168z + 126z + 264 - 2z = 8
168z + 126z + 2z = 336+264 - 8
296z= 592
z = 2
substituting the value of z
x = 8 + 4z
= 8 + 4(2)
8+8 = 16
y = 42z + 88
42(2) + 88
84 + 88= 172
The value of x = 16, y = 172 and z = 2.
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A car costs $25,750.00 and depletes in value by 20% per year. How much would the car be worth after 5 years?
A) $5,150
B) $8,437.76
C) $8,240
D) $20,600
Answer : B
First year : 25750 x 80% = 20600
Second year : 20600 x 80% = 16480
Third year : 16480 x 80% = 13184
Fourth year : 13184 x 80% = 10547.2
Fifth year : 10547.2 x 80% = 8437.76
Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places X y 3 6 LO 5 Function A 9 10 15 Function 8 ts equation is y = 12 20 15 25 is linear. X+ 9 8 6 4 3 2 1 0 y 0 1 2 3 Function B 4 5 6 7 8 9 X
Answer:
98
Step-by-step explanation:
B456789X+235575336
At Johnson's Pharmacy, tissue boxes can be purchased as single boxes or in packs of three boxes. During January, Johnson's sells a
Cotal of 379 boxes of tissues, 68 as single boxes, and the rest in three-packs. Which equation shows the number of tissue three-
packs, p, Johnson's sold in January?
Answer:
379-68=p
Step-by-step explanation:
379 is the total number of tissues. If you take away the single pack tissues then you will have the amount of three pack tissues
The correct equation that shows the number of tissue three-packs, p, Johnson's sold in January is, p = 379 - 68.
Use the concept of subtraction defined as:
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that,
At Johnson's Pharmacy, tissue boxes can be purchased as single boxes or in packs of three boxes.
Here, During January, Johnson's sells a total of 379 boxes of tissues, 68 as single boxes, and the rest in three-packs.
Let us assume that, the number of tissue three-packs = p
Hence we get;
p = 379 - 68
p = 311
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Use simplex algorithm to solve the following Linear Programming model. Clearly state the optimal solution and the values for decision variables you obtained from the optimal tableau.
max=2x1+3x2−x3
s.t.
3x1+x2+x3≤60
2x1+2x2+4x3≤20
4x1+4x2+2x3<=80
x1,x2,x3≥0
The optimal solution for the given linear programming model is:
max z = 38
when x1 = 5, x2 = 10, x3 = 0
What is the optimal solution obtained from the simplex algorithm?To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.
Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.
After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.
In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.
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