4. Find the area of the polygon.
Answer:
20
Step-by-step explanation:
246/35 simplified to a whole number
Answer:
About 7
Step-by-step explanation:
245/35 = 7
So, 246/35 = 7.02, which is about 7.
Hope this helps!
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what is the vertex of y=x²+14x-9
suppose that the time required to complete a 1040r tax form is normally distributed with a mean of 100 minutes and a standard deviation of 15 minutes. what proportion of 1040r tax forms will be completed in less than 77 minutes? round your answer to at least four decimal places.
The proportion of 1040r tax forms completed in less than 77 minutes = 0.06301
How to find the proportion of the tax forms?
The time required to complete a 1040r tax form = normally distributed
Mean = \(\mu\) = 100 minutes
Standard deviation = \(\sigma\) = 15 minutes
The proportion of 1040r tax forms completed in less than 77 minutes is given by ,
P( X< 77 ) = P ( Z < \(\frac{77-100}{15}\) )
= P( Z < - 1.53 )
=0.06301
Cumulative probability in the normal distribution =0.06301 or 6.301%
What is normal distribution?
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution.It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.The natural and social sciences frequently utilize normal distributions to describe real-valued random variables whose distributions are unknown, which is why normal distributions are essential in statistics. Not all symmetrical distributions are normal, but all normal distributions are symmetrical.Natural occurrences frequently resemble the normal distribution.A bell curve is another name for a normal distribution.To learn more about normal distribution, refer:
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Pencils are sold in a local store for 55 cents each. The factory has $1300 in fixed costs
plus 15 cents of additional expense for each pencil made. Assuming all
pencils manufactured can be sold, find the break-even point.
Break-even point:
Answer:
3250 pencils sold
Step-by-step explanation:
Let x represent the number of pencils.
The profit from the pencils sold can be represented by 0.55x, and the cost from making the pencils can be represented by 1300 + 0.15x.
Set these two terms equal to each other, and solve for x:
0.55x = 1300 + 0.15x
0.4x = 1300
x = 3250
So, the break even point is at 3250 pencils sold.
Which comparison is true?
Answer:
c. 50 Ounces> 3 Pounds
Step-by-step explanation:
Can't be A because 3 tons in 6000 pounds
Can't be B because 85 ounces is 5.3 pounds
Cant be D because 60 ounces is 3.75 pounds
it is C because 50 ounces is about 3.13 pounds
Can you explain how to do this?
The intervals in which the function is decreasing are:
{(-∞, -3), (1, 4)}
In which intervals is the function decreasing?A function is decreasing if, when reading the graph from left to right, the graph goes downwards.
Here we can see that the graph is decreasing in the intervals:
(-∞, -3) (leftmost part)
And in the interval:
(1, 4)
In all the other intervals the function is increasing.
Then the answer is:
Intervals: {(-∞, -3), (1, 4)}
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Question 12 of 22
Select the action you would use to solve = 16. Then select the property that
justifies that action.
A. Property: Multiplication property of equality.
B. Action: Add 4 to both sides.
C. Property: Addition property of equality.
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
OF Action: Multiply both sides by 4.
Answer:
The correct answer is:
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
The sun of the 2 digits of a certain number is 5. If 9 is added to the original number, the new number will have the original digits reversed. Find the number
Answer:
23
Step-by-step explanation:
Assume the digits are
1, 4 or 2,3
The number can be 14, 41, 23, 32
Test each one:
14 + 9 = 23 does not work
41 + 9 = 50 does not work
23 + 9 = 32 works
32 + 9 = 41 does not work
help asap !! will get branliest.
Answer:
4096 horses, or 4 to the power of 6
Step-by-step explanation:
(4²)³×4 to the power of 0
We simplify the equation,
(16)³×4 to the power of 0
4096×1 (Since 4 to the power of 0 is 1)
= 4096 horses on the farm which is 4 to the power of 6
- Hope this helps!
i don't understand the question.
Answer:
The question is asking which combinations of \(2x^2-4x+1\) make different types of equations. y=2x^2 makes a quadratic equation, y=-4x+1 makes a linear equation, and y=1 makes a horizontal line
Answer:
Resolver sistemas lineales-cuadráticos
Probablemente hayas resuelto sistemas de ecuaciones lineales. Pero, ¿qué pasa con un sistema de dos ecuaciones donde una ecuación es lineal y la otra es cuadrática?
Podemos utilizar una versión del método de sustitución para resolver sistemas de este tipo.
Recuerde que la forma pendiente-intersección de la ecuación para una línea es y = mx + b, y la forma estándar de la ecuación para una parábola con un eje de simetría vertical es y = ax2 + bx + c, a ≠ 0.
Para evitar confusiones con las variables, escribamos la ecuación lineal como y = mx + d donde m es la pendiente yd es la intersección con el eje y de la recta.
Sustituye la expresión por y de la ecuación lineal, en la ecuación cuadrática. Es decir, sustituya y por mx + d en y = ax2 + bx + c.
mx + d = ax2 + bx + c
Ahora, vuelva a escribir la nueva ecuación cuadrática en forma estándar.
Resta mx + d de ambos lados.
(mx + d) - (mx + d) = (ax2 + bx + c) - (mx + d) 0 = ax2 + (b − m) x + (c − d)
Ahora tenemos una ecuación cuadrática en una variable, cuya solución se puede encontrar usando la fórmula cuadrática.
Las soluciones de la ecuación ax2 + (b − m) x + (c − d) = 0 darán las coordenadas x de los puntos de intersección de las gráficas de la recta y la parábola. Las coordenadas y correspondientes se pueden encontrar usando la ecuación lineal.
Otra forma de resolver el sistema es graficar las dos funciones en el mismo plano de coordenadas e identificar los puntos de intersección.
Ejemplo 1:
Encuentre los puntos de intersección entre la recta y = 2x + 1 y la parábola y = x2−2.
Sustituya 2x + 1 por y en y = x2−2.
2x + 1 = x2−2
Escribe la ecuación cuadrática en forma estándar.
2x + 1−2x − 1 = x2−2−2x − 10 = x2−2x − 3
Usa la fórmula cuadrática para encontrar las raíces de la ecuación cuadrática.
Aquí, a = 1, b = −2 y c = −3.
x = - (- 2) ± (−2) 2-4 (1) (- 3) √2 (1) = 2 ± 4 + 12√2 = 2 ± 42 = 3, −1
Sustituye los valores de x en la ecuación lineal para encontrar los valores de y correspondientes.
x = 3⇒y = 2 (3) +1 = 7x = −1⇒y = 2 (−1) +1 = −1
Por lo tanto, los puntos de intersección son (3,7) y (−1, −1).
Grafica la parábola y la línea recta en un plano de coordenadas.
Se puede usar un método similar para encontrar los puntos de intersección de una línea y un círculo.
Ejemplo 2:
Encuentre los puntos de intersección entre la línea y = −3x y el círculo x2 + y2 = 3.
Sustituye −3x por y en x2 + y2 = 3.
x2 + (- 3x) 2 = 3
Simplificar.
x2 + 9x2 = 310x2 = 3x2 = 310
Sacando raíces cuadradas, x = ± 310 −− √.
Sustituye los valores de x en la ecuación lineal para encontrar los valores de y correspondientes.
x = 310 −− √⇒y = −3 (310 −− √) = −33√10√x = −310 −− √⇒y = −3 (−310 −− √) = 33√10
Por lo tanto, los puntos de intersección son (3√10√, −33√10) y (−3√10√, 33√10).
Grafica el círculo y la línea recta en un plano de coordenadas.
... o una línea y una elipse.
Ejemplo 3:
Resuelve el sistema de ecuaciones y = −5 y x29 + y24 = 1.
Sustituye −5 por y en −5.
x29 + (- 5) 24 = 1
Simplificar.
x29 + (- 5) 24 = 14x236 + 9 (25) 36 = 14x2 + 225 = 364x2 = −189x2 = −1894
Aquí tenemos un número negativo como el cuadrado de un número. Entonces, las dos ecuaciones no tienen soluciones reales.
Grafica la elipse y la línea recta en un plano de coordenadas.
Podemos ver que los dos no se cruzan.
Step-by-step explanation:
HOLA
A shelf is 3/4 yard long. How many boxes that are each 1/8 yard wide can be put side by side on the shelf?
Answer:
6
Step-by-step explanation:
3/4=6/8 which means 6 1/8's can fit
Answer:
(3 1/2 ft.) / 5/8 in.
Step-by-step explanation:
both values must be in same increments; change feet to inches
3 1/2 ft = 7/2 ft
(7/2) 12/1 = 42 in.
Then: 42 / (5/8)
42 (8/5)
336/5
67 1/5
you can stack 67 books
If Jo's misc. expenses rise by 1/3 and she starts paying for a phone that is $49 per month, how much less will she have towards next years holiday it all other expenses and her wage and bonus stay the same?
The amount that Jo will have less towards next years holiday, if all other expenses, wage and bonus stay the same is $146.88.
Original payment for the phone
The initial amout that Jo paid for the phone is calculated as follows;
amount per month = ($49) / (1 + ¹/₃)
amount per month = ($49) / (1.333)
amount per month = $36.76
For 1 year (12 months), = $36.76 x 12 = $441.12
Amount paid now$49 x 12 = $588
Amount she will have less towards next year= $588 - $441.12
= $146.88
Thus, the amount that Jo will have less towards next years holiday, if all other expenses, wage and bonus stay the same is $146.88.
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6 * 10x^{-3}/8*10x^{-6}
The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4 × 10³
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
6 × 10⁻³ / 8 × 10⁻⁶
Simplifying the expression
6 × 10⁻³ / 8 × 10⁻⁶
This can be written as
6/8 × 10⁻³/10⁻⁶
Reduce the fraction
3/4 × 10⁻³/10⁻⁶
Apply the division law of indices
3/4 × 10⁻³ ⁻ ⁽⁻⁶⁾
3/4 × 10⁻³ ⁺ ⁶
3/4 × 10³
Hence, the value is 3/4 × 10³
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a Find the total surface area of a cuboid with dimensions 4cm × 3cm × 2cm.
B)If the length of the cube, 4cm, is doubled, what is the new surface area of the cuboid?
Answer:
24 millimeters B) Area of one side= 4*4
=16
Total number of faces= 6
Then total area= area of one side* number of sides
=16*6
=96 square cm
Step-by-step explanation:
Farmland A farmer has a rectangular plot of land shaped like the figure in the graph. There is another identical plot of land 100 yards east and 120 yards north of the original plot. Graph both plots of land. Then find the combined area of the two plots of land
The graph of both plots would be the one graph in option C.
Combined area = 2(area of one rectangular plot) = 720 sq. yds.
What is the Area of a Rectangular Shape?Area of a rectangular shape = length × width
From the graph given, 1 unit represents 20 yards. Therefore:
100 yards east of the original plot is going to be 5 units to the left on the x-axis.120 yards north of the original plot would be 6 units upwards on the y-axis.Therefore, the graph of both plots would be the one given in option C.
The plot is rectangular in shape having 60 yards × 60 yards. Therefore:
Area of 1 plot = length × width = 60 × 60 = 360 square yards.
Combined area = 2(area of one rectangular plot) = 2(360) = 720 sq. yds.
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A bag contains 8 counters labeled with the numbers 3, 4, 4, 5, 5, 6, 6, and 6. Select all of the true statements The probability of drawing a 2 is 0. The probability of drawing a 7 is 1. The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5. The probability of drawing a 3 or a 6 is 12 . The least likely number to draw is 4.
The true statements are, The probability of drawing a 2 is 0 and The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.
What is probability?Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability, οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.
Here the given , Total number of outcomes = N {3,4,4,5,5,6,6,6} = 8
Now probability = No of Favorable outcome/ Total outcome.
Here Option A , Number of 2 = 0.
Then probability of getting 2 = 0/8 = 0.
Option B, Number of 7 = 0
Then probability of getting 7 =0/8 = 0
Option C , Number of 5's = 2
probability of getting 5 = 2/8 = 1/4
Number of less than 5 = 3
Probability of getting less than 5 = 3/8
Here 1/4 > 3/8 . Then The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.
Option D, Here least number in given is 3 not 5.
Hence the true statements are, The probability of drawing a 2 is 0 and The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.
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GIVING BRAINLIEST PLS HELP
Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
While mark brainliest oks hurry its due tmr
Which expression is equivalent to 24p+36q
Answer:
12(2p+3q)
Step-by-step explanation:
Simplify the expression.
-2.2f + 0.8f - 14-5
Answer:
− 1.4 f − 19
Step-by-step explanation:
Answer: -1.4f - 19
Step-by-step explanation:
Just combine like terms, since it doesn’t ask to solve for f.
Solve for the distance between the points (25, -41) and (31, -32).
Answer:
The distance should be \(3\sqrt{13\)
Step-by-step explanation:
Distance formula
PEOPLE GATHER AROUND FOR MY QUESTION PLEASE!
Answer:
Step-by-step explanation:
D
Match each percent with the fraction or decimal equivalent
SCL1501 ASSIGNMENT 1 2023_0 X + 20kay/Documents/2023%20assessments/SCL 1501%20ASSIGNMENT%201%202023_0adc3afa3db59caacea862 QUESTION 5 Jane Doe purchased a Range Rover last week for R790 500 (VAT incl). While driving from the Dube Port area along the N2 Road in Durban, she collides with John Wick, who is the owner-driver of a Porshe Cayenne. Doeriş is 23% negligent, whereas Wick is 33% negligent. The damage to the Range Rover is estimated at R175 000.00. It is uneconomical to repair the Porsche, but its salvage value is R125 000.00. The pre-accident value of Porsche was R985 000.00. Regarding the damages to Doe and Wick's motor vehicles, calculate who must pay whom and what would be the amount in damages. (4)
Dοe must pay Wick R506 398.00 - R71 872.50 = R434 525.50 in damages.
What is the basic mathematical οperatiοns?The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.
Tο calculate the damages, we need tο find οut the prοpοrtiοn οf negligence fοr each driver and apply it tο the damages.
Let D represent Dοe and W represent Wick.
Dοe's negligence = 23%
Wick's negligence = 33%
Tοtal negligence = 23% + 33% = 56%
Therefοre, Dοe is 23%/56% = 0.4107 οr 41.07% liable, and Wick is 33%/56% = 0.5893 οr 58.93% liable.
Damage tο Range Rοver = R175 000
Dοe's liability = 41.07% οf R175 000 = R71 872.50
Wick's liability = 58.93% οf R175 000 = R103 127.50
Salvage value οf Pοrsche = R125 000
Pre-accident value οf Pοrsche = R985 000
Lοss οf value οf Pοrsche = R985 000 - R125 000 = R860 000
Wick's liability fοr lοss οf value = 58.93% οf R860 000 = R506 398.00
Therefοre, Dοe must pay Wick R506 398.00 - R71 872.50 = R434 525.50 in damages.
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360 DMAC > DMS (SLO input) Destiny SEVAAS Employee Access C... S FitnessGram Online S Forecast 5 Home Access Cente Question 6 of 40 TAAR Grade 7 Math x Х ? Help Zoom Color Pause 2017 Practice STAAR Grade 7 Mathematics No PNP 永 Formulas Conversions Customary Ruler VINT Tools Guideline Eliminator Metric Ruler Graph Paper Pencil s Clear Mark for Review The box plots show data about the number of years that farmworkers have been employed at each of two farms. Number of Years Workers Have Been Employed at Two Farms Farm X Farm Y 0 Сл 10 15 20 25 30 35 Number of Years Which statement is best supported by the information in the box plots? The range of the data for Farm Y is equal to the range of the data for Farm X. 1-40
Solution
For this case we can see that :
Farm X
Q1= 15, Median= 17, Q3= 24, IQR = Q3-Q1= 24-15= 9
Min = 4, Max= 35, Range= 35-4= 31
Farm Y
Q1= 12, Median= 18, Q3= 27, IQR = Q3-Q1= 27-12= 15
Min = 5, Max= 30, Range= 30-5= 25
Then the best answer for this case is:
A is False the range for X is 31 and for Y is 25
B is False for Y Q3= 27 and for X Q3= 24
C is True since median for Y is 18 and median for X 17
D is False since for Y Q1= 12 and for X Q1= 15
the triangular prism below has equilateral bases with sides of 4 in and a height of 4.5 in and rectangular sides measuring by 4 in by 7in what is the lateral surface area of the prism?
Answer:
quite not sure
Step-by-step explanation:
Express the formula d = rt in terms of the time, t. Use your formula to find the time when the distance is 40 and the rate is 8.
A)t= 4; 1 = 5
B)t= ; t = 0.2
C)t = dr; t = 320
D)t = d-r; t = 32
Answer:
t = d/r; t = 5
Step-by-step explanation:
Hi there!
1) Isolate t
d = rt
Divide both sides by r
d/r = rt/r
d/r = t
t = d/r
2) Solve for t when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
I hope this helps!
What is the meaning of "there exists x ∈ S ∖ m. Then m ⊊ m ∪ {x} ∈ X; a contradiction"?
The statement "there exists x ∈ S ∖ m" means that there exists an element x that belongs to the set S but does not belong to the set m. In other words, x is an element that is present in S but is not present in m.
The phrase "m ⊊ m ∪ {x} ∈ X" states that the set m is a proper subset of the set m ∪ {x}, and this union belongs to the set X. This implies that the set m ∪ {x} contains all the elements of m along with the additional element x.
The phrase "a contradiction" indicates that the statement or assumption being made leads to a logical inconsistency or contradiction. In this context, the contradiction arises from the fact that the assumption that x is not in m contradicts the statement that m ∪ {x} is a proper superset of m.
Overall, the given statement implies that the existence of an element x in S, which is not in m, leads to a contradiction when considering the relationship between m and m ∪ {x}.
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