The correct statements regarding the function are given as follows:
B. The x-intercept is (15, 0).
C. The y-intercept is (0, 3,750).
What are the intercepts of a function?The intercepts of a function are two, the x-intercept and the y-intercept, defined as follows:
The set of x-intercepts is composed by the values of x for which the function crosses or touches the x-axis, that is, the values of x for which y = 0.The y-intercept is the value of y for which x = 0, that is, the value of y when the function touches or crosses the y-axis.A function can have only one y-intercept as a function must have only one output relative to the input x = 0, however it can have an infinity amount of x-intercepts.
From the definitions in these bullet points, the intercepts for this function are given as follows:
x-intercept: (15,0).y-intercept: (0, 3750).This means that statements B and C are correct.
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10 cm
10 cm
7 cm
13 cm
10 cm
10 cm
What is the surface area of the right rectangul
7 cm
Answer:
582 cm²
Step-by-step explanation:
You want the area of the figure represented by the given net.
AreaThe surface area of the cuboid is the sum of the areas of the rectangles shown in its net. Working top down and left to right, that sum is ...
A = ∑LW
A = (13)(10) +(10)(7) +(13)(7) +(10)(7) +(13)(10) +(13)(7)
A = 2(13(10) +10(7) +13(7)) = 2(130 +70 +91) = 2·291 = 582
The surface area of the right rectangular prism is 582 square centimeters.
__
Additional comment
The formula can be shortened to ...
A = 2(LW +H(L +W))
A = 2(13·10 +7(13 +10)) = 2(130 +161) = 582
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An artist is using tiles and boards for a project. A tile has length 1/4 ft and width 1/4 ft. A board has length 1/4 yd and width 1/4 yd. What is the ratio of the length of the tile to the length of the board? What is the ratio of the area of the tile to the area of the board?
Answer:
Ratio of lengths is 1:3
Ratio of areas is 1:9
Step-by-step explanation:
Firstly, we need the units to be same
Mathematically, 1 yard = 3 feet
A length of 1/4 yards = 1/4 * 3 = 3/4 feet
A width of 1/4 yards = 1/4 * 3 = 3/4 feet
The ratio of the length of the tile to the length of the board
that would be;
1/4 : 3/4 = 1: 3
Let’s now work with area
Mathematically, area in both cases is length * width
For the board, we have that;
3/4 * 3/4 = 9/16 square feet
For the tile, we have that;
1/4 * 1/4 = 1/16 square feet
so the ratio of the tile area to the board area will be;
1/16 : 9/16 = 1: 9
Your company wants to purchase some equipment for recycling metals. Machine A costs $323,000 and has a useful life of 10 years. Its operating costs are $2.40 per ton of metal processed. Machine B costs $178,000 and has a useful life of 6 years. Its operating costs are $8.00 per ton of metal processed. How many tons of metal per year must your company process to favor Machine A over Machine B? Assume an MARR of 18% per year.
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To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.
By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.
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Evaluate the expression 2p - (p + 3) +3. For p = 6
Use the CER strategy to show your work.
Answer: 9
Step-by-step explanation: sorry if it is wrong
Answer:
0
Step-by-step explanation:
2p - (p + 3) + 3
2(6) - (6 + 3) + 3
12 - (9) + 3
12 - 12 = 0
Can someone help with this math problome.
Answer: c=26
Step-by-step explanation:
x= c
a^2 + b^2 = c^2
24^2 +10^2 = c^2
Take the square root of all the values
c=26
Answer:26
Step-by-step explanation:
pythagorean theorem
c=\(\sqrt{a^{2} +b^{2} }\)
a=24,b=10
\(24^{2}\)=576, \(10^{2}\)=100
576+100=676
\(\sqrt{676}\)=26
The numbers in any column, row or diagonal in
the grid below multiply to give an answer of 1
Complete the grid
5
2
20
1
1/2
1
2
0.1
10
EL A
Answer:
1/10 in first row
1/20 in second row
1/5 in third row
Step-by-step explanation:
it is simple, take first row, and look what is required to get 1,
here 5*2 is 10, so to get 1 we need to divide with 10
in second row, 20*1 is 20, so we need to divide with 20
and in third row 10* ½ is 5, so we need to divide with 5
You are paid $1380 for working 80 hours in two weeks at your full-time job. At this rate of pay, how much would you be paid if ypu worked 100 hours in a month
Answer:
To answer this, we have to do the equation below:
\(1,380/80\)
When we do this, we come up with the answer of 17.25
Now we know that we get paid $17.25 an hour.
Now, we must do the equation below:
\(100 X 17.25\)
When we multiply, we get the answer of 1,725
So, we get paid $1,725 if we work for 100 hours.
Step-by-step explanation:
Hope this helps!
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
geometric mean between 12 and 9
Write an equation of the line that passes through the points (-3,-4) and (0,2)
Answer:
the answer is 2, hope this helps :)
the common factors of 4p3mn2 and 2pm2n3 is
Given:
The given terms are
\(4p^3mn^2\) and \(2pm^2n^3\)
To find:
The common factors of given terms.
Solution:
We have,
\(4p^3mn^2\) and \(2pm^2n^3\)
The factor forms are
\(4p^3mn^2=2\times 2\times p\times p\times p\times m\times n\times n\)
\(2pm^2n^3=2\times p\times m\times m\times n\times n\times n\)
The common factors are 2, p, m, n, n. So,
Common factors = \(2\times p\times m\times n\times n\)
= \(2pmn^2\)
Therefore, the common factor of given terms is \(2pmn^2\).
I need help, I dont know how to do this
Answer:
C) SSS
Step-by-step explanation:
the 'tic' marks indicate which sides are congruent to each other
A line with a slope of
4/7 passes through the points (h,10) and (–4,6). What is the value of h?
Answer:
h = 3
Step-by-step explanation:
y-6 = 4/7 (x-(-4)
y - 6 = 4/7 (x+4)
y - 6 = 4/7 x + 16/7
y = 4/7 x + 16/7 + 6
y = 4/7 x + (16+42)/7
y = 4/7 x + 58/7
10 = 4/7 x + 58/7
4/7 x = 10 - 58/7
4/7 x = (70-58)/7
4/7 x = 12/7
7/4 * 4/7 x = 12/7 * 7/4
x = 3
What two numbers multiply to get -40 and add up to get -3
Answer:
-8 (or) 5 and 5 (or) -8
Step-by-step explanation:
Let one of the numbers = x
Let other number = y
As the sum of two numbers = -3
x + y = -3
x = -3-y
As the the result of multiplication = -40
xy = -40
(-3-y)*y = -40
-3y-y² = -40
-y²-3y+40 = 0
-(y²+3y-40) = 0
-(y+8)(y-5) = 0
(-y-8)(y-5) = 0
-y-8 = 0 (or) y-5 = 0
-y = 8 (or) y = 5
y = -8 (or) y = 5
when y = -8
x = -3-y
x = -3-(-8)
x = -3+8
x = 5
when y = 5
x = -3-y
x = -3-5
x = -8
what does product mean
Answer:
product means times for e.g
Step-by-step explanation:
what is the product of 5 and 10
this means what
is 5 × 10
which equals to 50
Answer:
Product is the answer to a multiplication problem.
Step-by-step explanation:
A full supertanker travels for 574 miles. How many hours did it travel?
Answer:
45
Step-by-step explanation:
you can see that the time increases by 10.
ex: 5+10=15, 15+10=25.
So, 35 + 10 = 45
HELP pls will mark you the brainliest
Answer:
\(s \geqslant 150\)
Step-by-step explanation:
mark brainliest
Answer:
Its the 4th one!
Step-by-step explanation:
Theres not really an explanation, ill try my best. AT least means that 150 will be the smallest number. So, the one with the line under it is right. and obviously speed can be greater than 150 because its atleast 150. hope this helps
Help me please
Kylie feeds vitamins to her dog by dropping them into his water dish. The directions require 5 drops of vitamins to be put in 2 liters of water.
How many drops are required for 1 liter of water?
Answer options with 5 options
A. 0.4
B. 2.5
C. 3.0
D. 5.2
E. 10
Answer:
Choice D.
Step-by-step explanation:
5.2
Suppose that the division N/5 leaves a remainder of 4, and the division N/2 leaves a remainder of 1, what is the ones digit on N?
Since N/2 leaves a remainder, N must be odd and ends with 1, 3, 5, 7, or 9.
N/5 also leaves a remainder, so N is not divisible by 5, so it does not end in 5.
The only correct choice is then 9, since
1 = 0•5 + 1 and 1 = 0•2 + 1
3 = 0•5 + 3 and 3 = 1•2 + 1
7 = 1•5 + 2 and 7 = 3•2 + 1
9 = 1•5 + 4 and 9 = 4•2 + 1
Alternatively, the given information is equivalent to saying
\(N\equiv 4\pmod5\\\\N\equiv1\pmod2\)
Then you can use the Chinese remainder theorem to find N.
I need to know 502 divided by 70 for thi aignment. It i important and critical for me to get good grade
Answer:
7.171428571
Step-by-step explanation:
<3
Solve |3x + 7| = 4x for x. Question 5 options: A) No solution B) –7 or 1 C) 7 and –7 D) Infinitely many solutions
Answer:
B
Step-by-step explanation:
Answer: b
Step-by-step explanation: x+6=B
determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, s2/5, s4/5, s6/5, . . .
Answer: The common ratio r is s2/5 = sqrt(s2), the fifth term is ar^4 = s8/5 = 25s4/5, and the nth term is ar^(n-1) = s2/5 * sqrt(s2)^(n-1).
Step-by-step explanation:
The general form of a geometric sequence is given by:
a, ar, ar², ar², ...
where a is the first term and r is the common ratio.
In this case, we have:
a = 1
ar = s2/5
ar² = s4/5
ar³ = s6/5
We can use the second and third equations to solve for r:
ar / a = (s2/5) / 1
r = s2/5
ar² / ar = (s4/5) / (s2/5)
r = sqrt(s4/5 / s2/5) = sqrt(s4/s2) = sqrt(s2)
Since we have two expressions for r, we can equate them and solve for s:
s2/5 = sqrt(s2)
s2 = (s2/5)²
s2 = s4/25
25s2 = s4
s4/5 = 25s2/5
Therefore, the common ratio r is s2/5 = sqrt(s2), the fifth term is ar^4 = s8/5 = 25s4/5, and the nth term is ar^(n-1) = s2/5 * sqrt(s2)^(n-1).
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Find the limit of the following sequence or determine that the sequence diverges. - 1 tan Contoh 9n 9n + 5 3)} Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The limit of the sequence is 4 (Type an exact answer.) OB. The sequence diverges.
Expert Answer
B. The sequence diverges.
Explanation:
We can use the limit comparison test to show that the given sequence diverges.
First, we note that the term "-1" does not affect the behavior of the sequence as n approaches infinity.
Next, we can simplify the term "tan(9n)/(9n+5)" by dividing both the numerator and denominator by 9n. This gives us:
tan(9n)/(9n+5) = (tan(9n)/(9n))/((9n+5)/(9n))
Now, we know that as n approaches infinity, (tan(9n)/(9n)) approaches 1 (this can be shown using L'Hopital's rule).
Therefore, we can compare the given sequence to the sequence:
(1/(9n)) * (9n/(9n+5))
As n approaches infinity, the second factor in this sequence approaches 1, while the first factor approaches 0.
By the limit comparison test, since the limit of this new sequence is 0, and the given sequence is always nonnegative, the given sequence must also have a limit of 0.
Therefore, the sequence diverges.
The given sequence is -1 * tan((9n)/(9n+5)). To find the limit of the sequence as n approaches infinity, we can analyze the argument of the tangent function.
As n approaches infinity, the term (9n)/(9n+5) approaches 1 (since the coefficients of the highest powers of n are equal). Therefore, the argument of the tan function approaches 1, which is not a multiple of π (pi).
Now, considering the limit of -1 * tan(1), as the tangent function is continuous and well-defined at 1, we can directly find the limit. The limit of the sequence is -1 * tan(1).
So, the correct choice is:
A. The limit of the sequence is -1 * tan(1). (Type an exact answer.
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por favor ayuda cuanto es 50=t-1?
WILL GIVE BRAINLIEST!
Given that m∠a = 53°, find m∠b.
m∠b =
°
Answer: 143
90-53=37
180-37=143
Answer:
Step-by-step explanation:
The angle left to b is
90° - a
= 90° - 53°
= 37°
So now
< b + 37° = 180° ( being linear pair )
< b = 180° - 37°
< b = 143°
2t−5=−10
Helpppppp
Plz
Answer:
t= -2.5
Step-by-step explanation:
2t−5=−10
add 5 to both sides
2t= -5
divide by 2
t= -2.5
In a dataset that is normally distributed, the mean is always equal to the standard deviation. Group of answer choices True False
So, the statement "In a dataset that is normally distributed, the mean is always equal to the standard deviation" is false.
How to find if the statement is true or false?In a dataset that is normally distributed, the mean and the standard deviation are two different measures that describe different aspects of the data.
The mean is the arithmetic average of the dataset and represents the center of the distribution. It is calculated by adding up all the values in the dataset and dividing by the number of values.
The standard deviation, on the other hand, measures the spread or variability of the data around the mean.
It is calculated by taking the square root of the average of the squared differences between each value and the mean.
While the mean and the standard deviation can take on the same value in some cases, such as in a normal distribution with a standard deviation of 1, this is not always the case.
Therefore, in a normally distributed dataset, the mean and the standard deviation are two separate measures of the data.
So statement is false. In fact, it is more common for the mean and standard deviation to be different values in a normally distributed dataset.
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Ahora si tienes todos los insumos para poder completar la siguiente tabla o
frecuencias con la cual podras elaborar tus graficos estadisticos en torno a
percepción de discriminación de las personas encuestadas.
Veamos un ejemplo:
Frecuencia
Frecuencia
Rotativa (h)
Porcentual de
EVALUO MIS APRENDIZAJES
Las frecuencias son magnitudes que nos permiten representar valores de un fenómeno específico.
¿Qué es la frecuencia rotativa?La frecuencia rotativa es un término que se refiere a la cantidad de ciclos completados en un período de tiempo por un elemento que gira en su propio eje. La magnitud con la que se puede asociar la frecuencia rotativa depende de distintos factores, no obstante los más comunes suelen ser: segundos, minutos y horas. Algunos ejemplos de frecuencia rotativa es:
La rueda de mi bicicleta tiene una frecuencia rotativa de 50 giros por minuto.
¿Qué es la frecuencia porcentual?La frecuencia porcentual es un término que se refiere a la cantidad de elementos que tienen características similares por lo que pueden clasificarse en una categoría o clase similar. Por ejemplo, la frecuencia porcentual de personas con uniforme en mi escuela es del 90%.
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A triangle has a base length of 6ac2 and a height 3 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.
Answer:
(b) 5994 cm²
Step-by-step explanation:
You want to know the area of a triangle with base 6ac² and height 3 cm more, given that a=2 and c=3.
BaseThe base of the triangle is ...
base = 6ac² = 6(2)(3²) = 108 . . . . cm
HeightThe height of the triangle is 3 cm more, so is ...
height = base + 3 = 108 cm +3 cm = 111 cm
AreaThe area is half the product of base and height:
A = 1/2(base)(height)
A = 1/2(108 cm)(111 cm) = 5994 cm²
The area of the triangle is 5994 cm², matching choice B.
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Smartphones: A poll agency reports that 80% of teenagers aged 12-17 own smartphones. A random sample of 250 teenagers is drawn. Round your answers to at least four decimal places as needed. Dart 1 n6 (1) Would it be unusual if less than 75% of the sampled teenagers owned smartphones? It (Choose one) be unusual if less than 75% of the sampled teenagers owned smartphones, since the probability is Below, n is the sample size, p is the population proportion and p is the sample proportion. Use the Central Limit Theorem and the TI-84 calculator to find the probability. Round the answer to at least four decimal places. n=148 p=0.14 PC <0.11)-0 Х $
The solution to the problem is as follows:Given that 80% of teenagers aged 12-17 own smartphones. A random sample of 250 teenagers is drawn.
The probability is calculated by using the Central Limit Theorem and the TI-84 calculator, and the answer is rounded to at least four decimal places.PC <0.11)-0 Х $P(X<0.11)To find the probability of less than 75% of the sampled teenagers owned smartphones, convert the percentage to a proportion.75/100 = 0.75
This means that p = 0.75. To find the sample proportion, use the given formula:p = x/nwhere x is the number of teenagers who own smartphones and n is the sample size.Substituting the values into the formula, we get;$$p = \frac{x}{n}$$$$0.8 = \frac{x}{250}$$$$x = 250 × 0.8$$$$x = 200$$Therefore, the sample proportion is 200/250 = 0.8.To find the probability of less than 75% of the sampled teenagers owned smartphones, we use the standard normal distribution formula, which is:Z = (X - μ)/σwhere X is the random variable, μ is the mean, and σ is the standard deviation.
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4+(−634) please answer
The solution to the expression 4+(−634) is -630
How to evaluate the expression?From the question, we have the following parameters that can be used in our computation:
4+(−634)
Rewrite the expression properly
So, we have the following representation
4 + (−634)
Remove the bracket in the above expression
This gives
4 + (−634) = 4 - 634
Evaluate the difference
4 + (−634) = -630
Hence, the solution is -630
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