Based on the information given the chocolates stated on the label is 0.0042-ounce lighter.
Weight:
Using this formula
Chocolate weight=Current weight-Actual weight
Where:
Current weight=0.384
Actual weight=0.3798
Let plug in the formula
Chocolate weight=0.384-0.3798
Chocolate weight=0.0042 ounce
In conclusion, the chocolates stated on the label are 0.0042-ounce lighter.
Need some math help 50pts
Answer:
angle 1 and 3 are 127.3 degrees and angle 2 is 52.7 degrees
Step-by-step explanation:
so angle 2 is also 52.7 degrees because angle 2 and 4 are vertical oppostite angles
so we can look at it now that we have to find angle 1. since we know a line is 180 degrees we make angle 1 plus angle 2 equal to 180
let angle 1 be x
x + 52.7 = 180
x = 180 - 52.7
x = 127.3
Answer:
m∠1 = 127.3°
m∠2 = 52.7°
m∠3 = 127.3°
Step-by-step explanation:
Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles are always equal to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4
If m∠4 = 52.7° then m∠2 = 52.7°
Linear pair: Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ m∠3 + 52.7° = 180°
⇒ m∠3 = 180° - 52.7°
⇒ m∠3 = 127.3°
As m∠1 = m∠3 then m∠1 = 127.3° also.
What is the slope of the line given by the equation below?
y-9 = 15(x - 5)
O A. -5
O B. 9
O C. -9
O D. 15
Answer:
D
Step-by-step explanation:
this would simplify, in slope-intercept form, as y= 15x - 66
Multiply 2+√10 by its conjugate and simplify.
[tex]\left(2+\sqrt{10} \right)\left(2-\sqrt{10} \right)\\\\=2^2-\left(\sqrt{10} \right)^2\\\\=4-10\\\\=-6[/tex]
if you spin the spinner 42 times what is the best prediction possible for the number of times it would land on yellow or pink
Answer:
21
Step-by-step explanation:
There is an equal chance of 21 per each choice. So there is an equal amount of chance to land on both yellow or pink.
Pam’s monthly food budget is equal to 40% of her monthly rent payment. If her food budget is $200 a month, how much is her rent payment each month?
so we know that 40% for the rent payment is for food, and we also know that those 40% are really 200 bucks, so what would it be for the 100%?
[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 40 & 200\\ 100& x \end{array} \implies \cfrac{40}{100}=\cfrac{200}{x}\implies \cfrac{2}{5}=\cfrac{200}{x} \\\\\\ 2x=1000\implies x=\cfrac{1000}{2}\implies x=500[/tex]
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width
Answer:
Width = 12in, Length = 17in
Step-by-step explanation:
We can create two expressions from the given statements:
1) L (length) = 5 + W (width)
and
2) 58 = 2L + 2W (the equation for rectangular perimeter)
Substituting L from the first equation into the second equation yields:
58 = 2(5+W) + 2W
Distributing the 2 and solving for W yields:
12in = W
Plug this back into the first expression,
L = 5 + 12
L = 17in
Answer:
width = 12 in
length = 17 in
Step-by-step explanation:
Let width of rectangle = x
⇒ length of rectangle = x + 5
Given:
Perimeter = 58 inPerimeter = 2 × width + 2 × length
⇒ 58 = 2x + 2(x + 5)
⇒ 58 = 2x + 2x + 10
⇒ 58 = 4x + 10
⇒ 48 = 4x
⇒ x = 12
Therefore,
width = x = 12 in
length = x + 5 = 12 + 5 = 17 in
8. (10 pts) A square plate is being heated so that the length of a side increases at a rate of 0.08 cm/min. How fast is the area increasing when the length of a side is 12cm?
Answer:
none of the fruit are not ripe
A researcher is interested in determining whether teens who transfer schools after their freshman year in high school demonstrate
more behavior problems on the Achenbach Youth Self Report test with a population mean of 50 and a population standard deviation of
10. The researcher has a sample of 100 teens with a mean score of 59. What is your obtained z?
The z-score of the number of teens that transfered schools is the standard score
The obtained value of z is 5
How to determine the value of z?The given parameters are:
Population mean, μ = 50Population standard deviation, σ = 10Sample, x = 100Sample mean = 59The z-value is calculated using:
z = (x - μ)/σ
Substitute known values in the above formula
z = (100 - 50)/10
Evaluate the difference
z = 50/10
Evaluate the quotient
z = 5
Hence, the obtained value of z is 5
Read more about z-scores at:
https://brainly.com/question/25638875
Which phrase describes the algebraic expression 6x?
O the quotient of 6 and a number
O the difference of 6 and a number
O the product of 6 and a number
O the sum of 6 and a number
Answer:
The product of 6 and a number
Step-by-step explanation:
There isn't any "real" mathematics needed to find the answer, just common background knowledge:
6x = 6 times x,
and product is referencing multiplication
(Since quotient is for division, difference for subtraction, and sum for addition)
considering we need to represent an expression which uses multiplication in words, the correct answer is:
O the product of 6 and a number
please help
The radius of the base of a right circular cone is 5 times greater than the radius of a second right circular cone. If the heights of both cones are the same, what is the volume of the larger cone divided by the volume of the smaller cone?
A. 5
B. 10
C. 15
D. 25
Answer: its A or B I think its more of B than A
What are the y-intercepts of this conic section?
(0, −4) and (0, 4)
(0, −2) and (0, 2)
no y-intercepts
(−2, 0) and (2, 0)
Step-by-step explanation:
the second one, of course.
a y-intercept is a point where x = 0.
the 2 options are clearly having y-values of -2 and +2.
what is the percentage of this
Answer:
69%
Step-by-step explanation:
10×10 table, 69 cells are orange. Therefore the fraction 69/100 as a percentage is 69%.
Cassie wants to buy carpet to cover her whole living room, except for the tiled floor. The tiled floor is 4
5
6
ft by 2
1
3
ft. Find the area the carpet needs to cover.
Answer:
1456
Step-by-step explanation:
56x2x13
56x26
1456
one way to test if a graph is a function or not is by doing a?
One way to test if a graph is a function or not is by doing a vertical line test.
The vertical line test is tested by testing if any vertical line is drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function, if there isn't any such line, the graph is a function.
Hope that helps!
Answer:
Vertical line test. (literally what it say)
Step-by-step explanation:
Given a graph, use the vertical line test to determine if the graph represents a function. Inspect the graph to see if any vertical line drawn would intersect the curve more than once.
Therefore you would have x value being the same for several points.
Find x Mean = 12 {18, 15, 18, 3, 3, 19, 12, x}
Answer:
x = 8
Step-by-step explanation:
The mean is the average of the population.
Multiplying the mean by 8 terms will get you the total sum.
12 * 8 = 96
Subtracting all the values from the total sum should get you x.
96 - 18 - 15 - 18 - 3 - 3 - 19 - 12 = 8
210 cartons is __% of 60 cartons
Answer:
should definitely be 28.56
Write the recursive definition for the geometric sequence. Then write the exponential equation using regression
-
128,32,8,2
The geometric sequence 128,32,8,2 has a common ratio
The recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128
How to determine the recursive definition?The geometric sequence is given as:
128,32,8,2
Start by calculating the common ratio (r)
[tex]r = \frac{a_{n}}{a_{n-1}}[/tex]
Substitute 2 for n
[tex]r = \frac{a_2}{a_1}[/tex]
Substitute known values
[tex]r = \frac{128}{32}[/tex]
Evaluate the quotient
[tex]r = 4[/tex]
Substitute 4 for r in [tex]r = \frac{a_{n}}{a_{n-1}}[/tex]
[tex]4 = \frac{a_{n}}{a_{n-1}}[/tex]
Cross multiply
[tex]a_n = 4a_{n-1}[/tex]
Hence, the recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128
Read more about geometric sequence at:
https://brainly.com/question/24643676
Suppose a math class has 18 females (2 of whom speak French) and 13 males (5 of whom speak French).
Compute the probability that a randomly selected student is male, given that the student speaks French.
Round your answer to three decimal places.
18 females, 13 males, total: 31 students.
•female french students: 2
•male french students: 5
probability: male french = 5/31,
total students
edit: as a percentage, 16.129 %
Alyssa and Gabriel play the following game. Alyssa rolls a die. If she rolls a 1, 2, or 3, Gabriel gives Alyssa $4. If Alyssa rolls a 4 or 5, Gabriel gives Alyssa $. However, if Alyssa rolls a 6, she gives Gabriel $23.
a) Determine Alyssa's expectation.
b) Determine Gabriel's expectation.
PLEASE HELP ME ASAP
( I WILL MARK BRAINLIEST )
Answer:
6.5
Step-by-step explanation:
BRAINLIEST PLEASE
A fair 6-sided die is rolled five times. What is the probability that the sequence of rolls is 3,4,1,2,6
Answer:
Step-by-step explanation:
probability = number of favorable outcomes/total number of outcomes
To find compound probability multiply all the probabilities together.
p(3) = 1/6
p(4) = 1/6
p(1) = 1/6
p(2) = 1/6
p(6) = 1/6
Multiply all of them together.
1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/7,776
or
[tex](\frac{1}{6} )^5 = \frac{1}{7,776}[/tex]
What is the value of x? 1/6 (3 - 2x) < 1/3 x
Step-by-step explanation:
1/6 (3 - 2x) < 1/3 x
let's multiply everything by 6
3 - 2x < 6/3 x
3 - 2x < 2x
3 < 4x
3/4 < x
so, x > 3/4
since 3/4 is never equal to x but is purely smaller than x, the interval of valid x values starts right after 3/4 and goes to infinity.
x = 3/4 is not valid, because 3/4 is not smaller than 3/4 (it is equal to) ...
PLEASEEE HELP QUICK :D
Answer:
Option a!
Step-by-step explanation:
inverse means opposite:
First part of the statement:
If I studied for it
(opposite)
If I did not study for it
Second:
I did well on the exam
(opposite)
I did not do well on the exam
Hope this makes sense.
- profparis
A right angled triangle has hypotenuse 9cm and sides (x+5) and (x-3)cm. calculate x
Answer:
x= 3.95
Step-by-step explanation:
Hypotenuse = 9 cm
side = (x+5) cm
other side = (x-3) cm
Pythagoras theorem: Hypotenuse² = Base² + Base²
9² = (x+5)² + (x-3)²
81 = x² + 25 + 10x + x² + 9 - 6x
2x² + 4x - 47 = 0
Quadratic Formula
x = (-b±√b²-4ac) / 2a
x = (-4±√16+376) / 2(2)
x = (3.95 and -5.95)
We ignore the negative -5.95
So x = 3.95
I don’t understand this question
Answer:
First pair: -4 and 8
Second pair: -2 and 6
Third pair: -1 and 5
Step-by-step explanation:
-4 + 8 = 4
-2 + 6 = 4
-1 + 5 = 4
Hope this helps
Which of the following binomials is a factor of the trinomial below?
x^2-5x-24
Answer:
(x-8) and (x+3)
Step-by-step explanation:
To find the binomials of the trinomial, we just need to factor in the trinomial.
First,
x² -5x - 24
Then split it, so the terms add to -5 and multiply to -24
x² +3x -8x - 24
Then factor x in the first part, and -8 in the second part.
x(x+3) - 8(x+3)
Factor again
(x-8)(x+3)
Answer:
Step-by-step explanation:
Factorize 24. When we add the factors, we have to get (-5) and we multiply we have to get (-24).
So, the factors are 3 and (-8)
When we add 3 +(-8) = -5 ; we multiply we get (-8)*3 =(-24)
Replace the middle terms with the factors.
x² - 5x - 24 = x² - 8x + 3x - 24
= x(x - 8) + 3(x - 8)
= (x - 8)(x+3)
Calculate the perimeter of the semi-circle below. Use 3.14 to approximate π.
12 cm
37.902
Step-by-step explanation:
3.14x12+12
You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If you are paid $10.00/hour and your deductions are FICA (7.65%), federal tax withholding (12%), and state tax withholding (8%), how many hours do you have to work to pay for the refurbished computer?
answer choices:
98 hours
89 hours
111 hours
Total earnimgs per hour=10$
After deduction
Percentage=7.65+8+12=27.65%Total earnings
10-27.65%×1010-0.2765(10)10-2.7657.335$Total hours:-
640/7.33587.25Approximately 89 hours
3.-Un camión de pasajeros arranca desde el reposo y mantiene una aceleración de 0.8 mis?
a) ¿En qué tiempo recorrerá una distancia de 0.5 km?
b) ¿Qué rapidez levará en ese tiempo en m/s y en km/h?
a) El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos.
b) La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora).
Caso de movimiento uniformemente acelerado
El camión experimenta un movimiento uniformemente acelerado, que ocurre al considerar que su aceleración ([tex]a[/tex]), en metros por segundo al cuadrado, es constante en el tiempo ([tex]t[/tex]), en segundos.
a) El tiempo requerido es determinado por el siguiente polinomio de segundo orden:
[tex]x = v_{o}\cdot t + \frac{1}{2}\cdot a\cdot t^{2}[/tex] (1)
Donde:
[tex]x[/tex] - Cambio en la posición, en kilómetros. [tex]v_{o}[/tex] - Rapidez inicial, en metros por segundo.Si sabemos que [tex]x = 500\,m[/tex], [tex]a = 0.8\,\frac{m}{s}[/tex] y [tex]v_{o} = 0\,\frac{m}{s}[/tex], entonces tenemos que el tiempo requerido es:
[tex]0.4\cdot t^{2}-500 = 0[/tex]
[tex]t \approx 35.355\,s[/tex]
El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos. [tex]\blacksquare[/tex]
b) La rapidez final ([tex]v[/tex]), en metros por segundo, se determina con el siguiente polinomio de primer orden:
[tex]v = v_{o} + a\cdot t[/tex] (2)
Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]a = 0.8\,\frac{m}{s^{2}}[/tex] y [tex]t = 1250\,s[/tex], entonces tenemos que la rapidez final es:
[tex]v = 0 + 0.8\cdot (35.355)[/tex]
[tex]v = 28.284\,\frac{m}{s}[/tex] [tex]\left(101.822\,\frac{km}{h} \right)[/tex]
La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora). [tex]\blacksquare[/tex]
Para aprender más sobre movimiento uniforme, invitamos a ver esta pregunta verificada: https://brainly.com/question/118814
Examine the diagram.
What is the m<1?
O 21°
O 42°
O 71°
O 82 °
Answer:
O 21 your ita not correct