The value of the function k(t) for the t = 3 will be 28.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given the function,
k(t)=10t−2.
Now t = 3
k(3) = 10(3) - 2
k(3) = 30 - 2
k(3) = 28
Hence "The value of the function k(t) for the t = 3 will be 28".
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Valentina usa 3/4 de kilo de harina para preparar un pastel sí vende 5 pasteles cuántos kilos de harina necesita para prepararlos
Answer:
ok so the answer is
Step-by-step explanation:
in do not under stand Espanol I will comet if I can translation
help me out with this pls (multiple choice)
Answer:
45 45 90 special triangle
7√2 = √98
x² + y² = 98
x = y
x² + x² = 98
2x² = 98
x² = 49
x = 7
y = 7
ANSWER: c
One fifth less than the product of seven and a number
Answer:
Step-by-step explanation:
\(\frac{1}{5}\) ∠ 7x
\(\frac{1/5}{7}\) ∠ x
1/35 ∠x
x ≥ \(\frac{1}{35}\)
4 glue sticks cost \$7.76.
Which equation would help determine the cost of 13 glue sticks?
Answer:
x = $20.40
Step-by-step explanation:
x = cost of 13 glue sticks
4 glue sticks cost $7.76, so to find the cost of 13 glue sticks, you would use the equation:
x = (13/4) * $7.76
or
x = $20.40
4 Amina and Sara have £320 between them.
They share the money in the ratio 5:3
How much money does Amina receive?
Keisha buys 2 pens at the store. Each pen costs $2. Which graph shows the coordinates of the point that represents the number of pens that Keisha buys and the total cost? PLES IM DOING A TEST RN
The coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)
How to determine the graph shows the coordinates of the point that represents the number of pens that Keisha buys and the total cost?The given parameters are
Number of pen = 2
Unit price = $2
This means that the total amount spent is
Total amount = Number of pen * Unit price
Evaluate the product
Total amount = 2 * 2
Evaluate the product
Total amount = 4
So, the coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)
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I already found the vertex, but can someone help me find the latus rectum of this parabola?
Answer:
Step-by-step explanation:
y=x²+7
vertex(0,7)
the length of latus rectum in a parabola equal to four times the focal length :
y=x²+7
focus X=-b/2a=0
focus Y=c- (b²-1)/4a=7+1/4=29/4
focus (0 , 29/4)
latus rectum is 29/4
(x-h)^2 = 4p (y-k) 4p is the length of the latus rectum with vertex(0,7)
(0-0)²=4p(29/4-7)
0=29p-28p=1p
the length of the latus rectum is 1
Answer:
1
Step-by-step explanation:
The short answer is that the length of the latus rectum is the reciprocal of the magnitude of the leading coefficient.
In y = x^2 +7, the leading coefficient is 1.
latus rectum = 1/|1| = 1
Which number below is a perfect square? 100 90 50 75
please help me with the question
Answer:
-2.5 m/s^2
Step-by-step explanation:
From 2 seconds to 8 seconds (the last 6 seconds), the speed decreased from 15 m/s to 0. The average acceleration is ...
(-15 m/s)/(6 s) = -2.5 m/s^2
3. Write the product: 6/7 and 514
Given,
\(\frac{6}{7}\text{ and 514}\)To find their product
\(\begin{gathered} \frac{6}{7}\times514=\frac{6\times514}{7} \\ =\frac{3084}{7} \\ =440.57 \end{gathered}\)Thus the solution is 440.57
Which division problems below have the same quotient as –27 ÷ 9? Check all that apply.
3 ÷ 1
18 ÷ (–6)
–6 ÷ –2
27 ÷ (–9)
–15 ÷ –5
–9 ÷ 3
Answer:
B D F
Step-by-step explanation:
I am just here to clarify.
Answer:
Probaly isnt usefull anymore but to whoever still needs to know its B, D, F or 18 ÷ (–6), 27 ÷ (–9), and –9 ÷ 3
Step-by-step explanation:
Rowniel's garden is shown below. If he increases the length and width of each section of
his garden by 2 feet, what is the area, in square feet, of Rowniel's expanded tulip section?
Answer:
roses
80 square
feet
tulips
10 feet
24 feet
sunflowers
384 square feet
Figure not drawn to scale.
square feet
The area of Rowniel's expanded tulip section is 312 square feet.
To find the area of Rowniel's expanded tulip section, we first need to determine the dimensions of the expanded section.
The original tulip section has a length of 10 feet and a width of 24 feet. If Rowniel increases the length and width of each section by 2 feet, the expanded tulip section will have a length of 10 + 2 = 12 feet and a width of 24 + 2 = 26 feet.
To calculate the area of the expanded tulip section, we multiply the length by the width:
Area = Length × Width
Area = 12 feet × 26 feet
Area = 312 square feet
Therefore, the area of Rowniel's expanded tulip section is 312 square feet.
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20) a rescarcher wishes to estimate the number of households with two cars. how large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 5%? a previous study indicates that the proportion of households with d). 264 two cars is 22%. a) 4 c) 186 b) 339
In this problem, a researcher wants to estimate the number of households with two cars with 95% confidence and a margin of error of 5%. The researcher also knows that a previous study showed that 22% of households had two cars. The possible answers are 4, 339, and 186.
To answer this question, we need to use the formula for sample size calculation: n = (Z^2 * p * q) / E^2, where n is the sample size, Z is the Z-score for the desired level of confidence (in this case, 1.96 for 95% confidence), p is the estimated proportion of the population with the characteristic of interest (in this case, 0.22), q is the complement of p (q = 1 - p), and E is the desired margin of error (in this case, 0.05). Plugging in these values gives us n = (1.96^2 * 0.22 * 0.78) / 0.05^2, which simplifies to n = 186.
Therefore, the correct answer is (c) 186. This means that the researcher needs to survey 186 households to estimate the number of households with two cars with 95% confidence and a margin of error of 5%.
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Is it possible to solve 3 equations with 4 variables?
A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.
What is linear system?A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.
Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.
The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.
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Kelly separated 618 cookies into baggies. Each baggie contained 3 cookies. How many baggies of cookies did Kelly make?
Answer:
206
Step-by-step explanation:
618/3=206
A solution of alcohol and water is 90% alcohol. The solution is found to contain 63 milliliters of alcohol. How many milliliters total (both alcohol and water) are in the solution?
Answer:
70 [milliliters]
Step-by-step explanation:
Since the solution consists of 90% alcohol, the 63 milliliters of alcohol must represent 90% of the entire solution. Let the solution have \(x\) milliliters in total. We have the following equation:
\(0.9x=63\)
Divide both sides by 0.9:
\(x=\frac{63}{0.9}=\boxed{70}\)
Therefore, there are 70 milliliters in the solution.
Answer:
\(thank \: you\)
The area of the top face of a cube is 9 square centimerers. Use 9 of these cubes to make a rectangular prism. What is the volome of the rectangular prism?
Answer:
243 cm³
Step-by-step explanation:
A cube has the same measure in length, width and height. So, we know that the area of the top face of a cube is 9 square centimeters, this means that
Length x width = 9 square centimeters
But, since length and width are the same, we have that they are equal to \(\sqrt{9} =3\) cms (since 3² = 9).
Thus, the volume of each cube is 3³ = 27 cm³
We are going to use 9 of these cubes to make a rectangular prism, therefore, the volume of this prism is going to be 9 times the volume of each cube.
Volume of prism = 9 (27) = 243 cm³
Answer:
243 cm³
Step-by-step explanation:
Hope this helps
you have a 4x6x2x3x8 anova, if there are 8 people in each group how many people do you have?
what is 10.743 rounded to the nearst hundred
Hi there!
\(QUESTION:\)
What is 10.743 rounded to the nearest hundredth?
\(ANSWER:\)
10.74 (2 decimal places)
Remember the rule:
If a number is less than 5, we round down. If the number is 5 or more, we round up.Here, 3 is less than 5, so we round down.
Therefore, our final answer is: 10. 74Hope this helps you!
~Just a felicitous girlie
#HaveASplendidDay
\(SilentNature :)\)
what is scientific learning
Scientific learning is the process of acquiring knowledge and understanding of scientific concepts, theories, and principles through observation, experimentation, and analysis of data.
What is scientific learning?Scientific learning involves using the scientific method, which is a systematic approach to investigating and understanding natural phenomena.
Scientific learning includes not only learning about the natural world but also learning how to think critically, analyze data, and make informed decisions based on evidence. It is a dynamic process that involves constantly questioning, investigating, and refining our understanding of the world around us
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Find the first five terms of the recursive sequence.
The first five terms of the recursive sequence are 4.5, -27, 162, -972 and 5832
How to determine the first five terms of the recursive sequence.From the question, we have the following parameters that can be used in our computation:
an = -6a(n - 1)
a1 = -4.5
The above definitions imply that we simply multiply -6 to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
a(2) = -6 * 4.5 = -27
a(3) = -6 * -27 = 162
a(4) = -6 * 162 = -972
a(5) = -6 * -972 = 5832
Hence, the first five terms of the recursive sequence are 4.5, -27, 162, -972 and 5832
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for a standard normal distribution, find: p(-1.62 < z < 2.01)
The probability of the interval -1.62 < z < 2.01 in a standard normal distribution is approximately 0.9262 or 92.62%.
In a standard normal distribution, the mean is 0 and the standard deviation is 1. The z-score represents the number of standard deviations a data point is from the mean. To find the probability of a specific interval, we calculate the area under the curve between the corresponding z-values.
Given the interval -1.62 < z < 2.01, we need to find the area under the standard normal curve between these two z-values. This can be done using a standard normal distribution table or by using a statistical software or calculator.
By looking up the z-values in the table or using software, we find the corresponding probabilities: P(z < -1.62) = 0.0526 and P(z < 2.01) = 0.9788.
To find the probability of the interval -1.62 < z < 2.01, we subtract the probability of the lower bound from the probability of the upper bound: P(-1.62 < z < 2.01) = P(z < 2.01) - P(z < -1.62 = 0.9788 - 0.0526 = 0.9262.
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Half of a number is 19
Answer: the number is 38
Step-by-step explanation:
1/2 of number = 19
1/2 x 2 = 1 (one whole, so in this case the mystery number)
so the number is 19 x 2 = 38
Double the number is 76.
help asap please!!!!
what is an equation of the line that passes through the point (-5, 7) and is parallel to the line x+5y=10?
Answer:
y = -1/5x + 6
Step-by-step explanation:
First rearrange x + 5y = 10 into y = mx + b format.
x + 5y = 10
5y = -x +10
y = -1/5x + 2
If a line is parallel to y = -1/5x + 2, it must have the same slope (-1/5).
Plug in for y = mx + b
x (x coordinate) = -5
y (y coordinate) = 7
m (slope) = -1/5
Solve for b.
7 = -5(-1/5) + b
7 = 1 + b
b = 6
y = -1/5x + 6 is parallel.
Calculate the amount that will be in the bank after 5 years if R4 700 is invested at 5% simple interest
The amount after 5 years with a simple interest of 5 % is A = $ 875
What is Simple Interest?Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the amount in the bank after 5 years be A
Let the simple interest be represented as I
Now , the principal amount invested = $ 700
The rate of interest r = 5 %
The number of years n = 5 years
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
On simplifying , we get
Simple Interest I = ( 700 x 5 x 5 ) / 100
Simple Interest I = 25 x 7
Simple Interest I = $ 175
Now , the amount after 5 years = P + I = 700 + 175
The amount after 5 years = $ 875
Hence , the amount after 5 years in the bank is $ 875
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Which of the following is the best measure to compare the variability of two arrival processes?
a. Standard deviation
b. Range
c. Mean
d. Coefficient of variation
The best measure to compare the variability of two arrival processes is the coefficient of variation (CV).
The coefficient of variation (CV) is the ratio of the standard deviation to the mean of a dataset and is a dimensionless quantity. It provides a relative measure of variability that takes into account the scale of the data. When comparing the variability of two arrival processes, it is important to consider both the spread (standard deviation) and the central tendency (mean) of the data. The CV allows for a standardized comparison by normalizing the standard deviation with respect to the mean.
Using the standard deviation alone (option a) does not take into account the differences in means and can be misleading when comparing arrival processes with different average values. The range (option b) is a simple measure of spread but does not consider the scale or central tendency of the data, making it less suitable for comparing variability. Similarly, the mean (option c) provides information about central tendency but does not account for the spread. Therefore, the coefficient of variation (option d) is the most appropriate measure as it combines information about both the mean and the standard deviation, allowing for a meaningful comparison of variability between two arrival processes.
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3p + –7.81 = –13.81 solve for p
Step-by-step explanation:
3p + (-)7.81 = -13.81
3p = -13.81 + 7.81
3p = -6
p = -6/3
p = -2
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hmmm... . . . . . . . . . . . .
When writing an equation in slope-intercept form, you need the values of the
Answer:
slope, m
y-intercept
Step-by-step explanation:
When writing an equation in slope-intercept form, there will be need for slope and y- intercept.
What is the slope intercept form of an equation ?When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.
Here m is slope and c is constant.
To writing the slope intercept form of the equation,
There will be requirement of slope,
and y intercept, it will be in form of (0, a), here a will be value of y coordinate.
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A pizzeria ell three ize of pizza: mall, medium, and large. The pizza ell for $6
, $9
, and $10
, repectively. One evening they old 37
pizza and received $321. If they old 9
more large than medium pizza, how many of each ize did they ell?
Ue the Gauian elimination method with back ubtitution to olve the given word problem
They sell 21 pizzas for $321 in one evening.
A word problem is a few phrases that describe a real-life scenario in which an issue must be solved using a mathematical computation. It is a mathematical problem expressed entirely in words typically used as an educational tool.
Word problems are regarded as an important aspect of the basic curriculum because they require students to apply their understanding of various concepts to real-life settings.
Let us assume that,
small size pizza =x
medium size pizza =y
large size pizza =z
so, x+y+z=21
6x+9y+10z= 321
y=z+1
x+y+z=21
6x+9y+10z= 321
y-z=1
6x+9y+10z= 321
y+4z=31
5z=30
z=6
y=z+1
y=7
x+y+z=21, x=8
{8,7,6}
8*$6=$48
7*$9=$56
6*$10=$60
Thus, they sell 21 pizzas for $321 in one evening.
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