Answer:
\(64000 \ in.^3\)
Step-by-step explanation:
The amount of concrete needed would be measurable by the volume of the brick, since a brick is three-dimensional.
The volume of a rectangular prism is found using the formula: \(V=l \times w \times h\)
You are given the length (5 in.), width (4 in.), and height (2 in.) of the bricks. Find how much concrete is needed to make a single brick.
Single brick volume:
\(5 \ in. \ \times 4 \ in. \ \times 2 \ in.\)\(40 \ in.^3\)In order to find how much concrete would be needed to make 1600 bricks, you would need to multiply the amount of concrete needed to make 1 brick by 1600.
\(40\ in.^3 \times 1600\)\(64000 \ in.^3\)The company would need \(64000 \ in.^3\) of concrete to make 1600 bricks.
Please help!! 15 points
Please! I don't understand this question! Help!
Zachary purchased a computer for $ on a payment plan. months after he purchased the computer, his balance was $. months after he purchased the computer, his balance was $. What is an equation that models the balance y after x months?
Knowledge workers use specialized information systems, called kwss, to create information in their area of expertise.
a. false
b. true
Knowledge workers use specialized information systems, called kwss, to create information in their area of expertise. The statement is: b. true
Knowledge workers, such as researchers, analysts, and professionals in various fields, rely on specialized information systems to perform their tasks efficiently. These systems, often referred to as kwss (knowledge work support systems), are designed to facilitate the creation, organization, and dissemination of information within a specific domain or area of expertise.
For example, a scientist may utilize a specialized information system to store and analyze research data, collaborate with colleagues, and publish findings. Similarly, a financial analyst may rely on a kwss to access market data, perform complex calculations, and generate reports.
These specialized information systems typically offer features tailored to the needs of knowledge workers, such as advanced search capabilities, data visualization tools, collaboration functionalities, and workflow management options. They enable knowledge workers to access relevant information quickly, organize and structure their work, and ultimately create valuable insights and solutions in their respective fields.
In summary, knowledge workers do indeed utilize specialized information systems, known as kwss, to support their work and enhance their productivity and effectiveness in generating information within their area of expertise.
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the table above gives the u.s. population by age and calendar year. examine the three values that are outlined in red and classify each. a) the number of 25-year olds in the year 2000 was 3.39 million. classify this point. relative minimum b) the number of 40-year olds in the year 2000 was 4.65 million. classify this point. relative maximum c) the number of 20-year olds in the year 2015 was 4.55 million. classify this point. saddle point
The answers for maximum are a) 3.39 million b) 4.65 million c) 4.55 million
The terms "saddle point", "maximum", and "population" are all related to the analysis of data in mathematics and statistics.
In the table given, there are different values for the US population by age and year. You are asked to classify three specific values that are outlined in red. Let's examine each one:
a) The number of 25-year olds in the year 2000 was 3.39 million. This point is classified as a relative minimum. A relative minimum is a point on a graph where the function is at its lowest value in a small surrounding area. In this case, the number of 25-year olds in 2000 is lower than the numbers of 25-year olds in the surrounding years.
b) The number of 40-year olds in the year 2000 was 4.65 million. This point is classified as a relative maximum. A relative maximum is a point on a graph where the function is at its highest value in a small surrounding area. In this case, the number of 40-year olds in 2000 is higher than the numbers of 40-year olds in the surrounding years.
c) The number of 20-year olds in the year 2015 was 4.55 million. This point is classified as a saddle point. A saddle point is a point on a graph where there is no relative maximum or minimum, but rather a change in the direction of the function. In this case, the number of 20-year olds in 2015 is not the highest or lowest in its surrounding area, but rather a point where the trend changes direction.
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How many gallons each of 30% alcohol and 5% alcohol should be mixed to obtain 25gal of 25% alcohol?
Let x be the amount of the 30% alcohol and let y be the amount of 5% alcohol.
We want the total amount to by 25 gal, then we have:
\(x+y=25\)We also want the resulting mix to be 25% alcohol, this is 0.25 in decimal form; also we know that the first type of alcohol is 30% and the second is 5%, then we have:
\(\begin{gathered} 0.3x+0.05y=0.25(25) \\ 0.3x+0.05y=6.25 \end{gathered}\)Hence we have the system of equations:
\(\begin{gathered} x+y=25 \\ 0.3x+0.05y=6.25 \end{gathered}\)To solve the system we solve the first equation for y:
\(y=25-x\)then we plug this value of y in the second equation:
\(\begin{gathered} 0.3x+0.05(25-x)=6.25 \\ 0.3x+1.25-0.05x=6.25 \\ 0.25x=6.25-1.25 \\ 0.25x=5 \\ x=\frac{5}{0.25} \\ x=20 \end{gathered}\)Once we have the value of x we plug it in the expression we found for y:
\(\begin{gathered} y=25-20 \\ y=5 \end{gathered}\)Therefore, the mixture will have 20 gallons of 30% alcohol and 5 gallons of 5% alcohol.
evaluate the expression m=10 2m+10
Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x? X = StartFraction negative 1 plus-or-minus StartRoot (negative 1) squared minus 4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction 1 plus-or-minus StartRoot (negative 1) squared minus 4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction negative 1 plus-or-minus StartRoot (negative 1) squared +4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction 1 plus-or-minus StartRoot (negative 1) squared +4 (7) (9) EndRoot Over 2 (7) EndFraction
Answer:
\(x=\dfrac{-(-1)\pm \sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}\)
Step-by-step explanation:
The quadratic equation is as follows :
\(7x^2=9+x\) ...(1)
The solution of a quadratic equation \(ax^2+bx+c=0\) is given by :
\(x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\)
Equation (1) can also be written as follows :
\(7x^2-9-x=0\\\\7x^2-x-9=0\)
Here, a = 7, b = -1 and c = -9
\(x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-(-1)+\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}, \dfrac{-(-1)-\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}\\\\x=1.20\ s, -1.06\ s\)
Neglecting negative value.
So, it will hit the ground in 1.2 s.
Answer:
D
Step-by-step explanation:
Edge 2021 hope this helps :)
a
no correlation
b
positive
c
quadratic correlation
d
negative
d
because it is in the negative plan of the graph
Which of the following functions has the values of its range decrease as the values in its domain increase?A. f(x) = 3^xB. g(x) = 3.5^xC. h(x) = 0.3^xD. k(x) = 1/2(3^)x
The function has the value of its range decrease as the values in its domain increase is equals to \(f(x) = 0.3^ x \). So, option(B) is right one.
The domain of a function is defined as a set of all possible inputs for the function and range of the function is the set of all values that f takes. For example, the domain of f(x)=x² is all reals and range their corresponding values of f(x).
We have a number of functions and we have to check its range decrease as the values in its domain increase.
A) The function is defined as \(f(x) = 3^ x \), As we put values x from reals, x = 0,1,2,3,
=> f(x) = 3⁰, 3¹,3² ,...
so that with increase of input value of x ( domain) the value of range also increase.
B) function is defined, \(g(x) = 3.5^ x \)
As we put values x from reals, x = 0,1,2,3,
=> f(x) = 3.5⁰, 3.5,3.5² ,...
so that with increase of input value of x (domain) the value of range also increase.
C) The function is \(h(x) =0.3^{x}\)
As we put values x from reals, x = 0,1,2,3,
=> f(x) = 0.3⁰, 0.3,0.3² ,...
=> f(x) = 1, 0.3, 0.09,...
so that with increase of input value of x ( domain) the value of range decrease.
D) The function is \(k(x) = \frac{3 ^{x}}{2 } \)
As we put values x from reals, x = 0,1,2,3,
=>\( f(x) = \frac{ {3}^{0}}{2} , \frac{3^{1}}{2}....\)
= 0.5, 1.5,...
so that with increase of input value of x ( domain) the value of range is also increases. Hence, required value is
\(f(x) = 0.3^ x \)
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The function that has the values of its range decrease as the values in its domain increase is the function (C) h(x) = 0.3^x.
To see why, let's take a look at the
other functions:
(A) f(x) = 3^x: As x increases, 3^x also increases, so the range of f(x) increases as the values in its domain increase.
(B) g(x) = 3.5^x: Similarly to (A), as x increases, 3.5^x also increases, so the range of g(x) increases as the values in its domain increase.(D) k(x) = 1/2(3^x): As x increases, 3^x increases, so 1/2(3^x) also increases, although at a slower rate. Therefore, the range of k(x) increases as the values in its domain increase.
However, for (C) h(x) = 0.3^x: As x increases, 0.3^x decreases, approaching zero. Therefore, the range of h(x) decreases as the values in its domain increase.
Thus, the answer is (C) h(x) = 0.3^x.
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Find values for p and q so that x=
–
1 is the only solution to the equation. Px+6=3(x+q)
p=
q=
The equation Px+6=3(x+q) of p and q are:p = 0, q = 3orp = 3, q = 2
We know that if x = -1 is the only solution, then the equation should have only one root, i.e.,
discriminant = 0.
Discriminant of the equation: D = b² - 4ac
Given equation can be written as: Px - 3x + 6 - 3q = 0
Comparing it with the general equation ax² + bx + c = 0,
we get a = p, b = -3, and c = 6 - 3q
Discriminant = (-3)² - 4p(6 - 3q)
For x = -1, the equation becomes:
P(-1) - 3(-1) + 6 - 3q = 0
or, -P + 3 + 6 - 3q = 0
or, -P - 3q + 9 = 0
or, -3q = P - 9
or, q = (9 - P)/3
or, q = (3 - P/3)
If x = -1 is the only solution,
then the discriminant should be equal to 0.
(-3)² - 4p(6 - 3q) = 0
We know that q = (3 - P/3)
On substituting the value of q in the above equation, we get:
9 - 4p(6 - 3(3 - P/3)) = 0
or, 9 - 4p(6 - 9 + P) = 0
or, 9 - 4p(P - 3) = 0
or, 0 = 4p² - 12p
Substituting the value of p, we get:
0 = 4p² - 12p
or, 0 = 4p(p - 3)
Either 4p = 0 or p - 3 = 0
p = 0 or p = 3
If p = 0, then q = 3, and
if p = 3, then q = 2
Therefore, the values of p and q are:p = 0, q = 3orp = 3, q = 2
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How do you make a table of values for a linear relationship?
To make a table of values for a linear relationship;
Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value
Given,
Linear relationship;
A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.
Here,
We have to make a table of values for a linear relationship;
Make the table and select a range of x values. Fill in the equation with each x value from the left side column. To determine the y value, evaluate the equation in the middle column.Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.Learn more about linear relationship here;
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The variables Y and X have a proportional relationship andY equals 15 when x=3. What is the value of X when Y =4?
Answer:
4/5 or 0.8
Step-by-step explanation:
y and x is directly proportional so when one increases the other also increases
the scale factor is 15/3 equals 5
so y is 4, x times 5 equals 4, which we rearrange to give 4/5 or 0.8
the graph of the function f is shown in the xyplane above the function f is define by f(x)=mx+b,where m and b are constant which of the following could be the graph of the function where g(x)=-mx-b?
Answer:
Option (C)
Step-by-step explanation:
We will apply the rules of transformations in this question.
Parent function of the given line in the graph is,
f(x) = mx
If the function is f'(x) = -mx
Then the line will be inverted of reflected across the x-axis.
If the function is g(x) = -mx - b
Then the line representing function g(x) = -mx will be shifted b units downwards, similar to the graph given in Option (C).
Apply the Distributive Property
-8(a + b -c)
Answer:
-8a -8b + 8c
Step-by-step explanation:
-8(a + b - c)
-8 x a is -8a
-8 x b is -8b
-8 x -c is 8c
-8a -8b + 8c
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An airport offers two shuttles that run different schedules. If both leave the airport at 4:00 pm, at what time will they next leave the airport together
Answer:
4:18 pm
Step-by-step explanation:
An airport offers two shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will they next leave the airport together.
Shuttle A leaves every 6 minutes
Shuttle B leaves every 9 minutes
Shuttle A: 4:00 pm
Leaves every 6 minutes
Next 4:06 pm
Next: 4:12 pm
Nex: 4:18 pm
Next: 4:24 pm
Shuttle B: 4:00 pm
Leaves every 9 minutes
Next: 4:09 pm
Next: 4:18 pm
Next: 4:27 pm
Next: 4:36 pm
The next time both shuttles will leave the airport together is 4:18 pm
Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. How many kilograms of fruit is a chef choose the best estimate
Answer: 21 1/8 kilogram
Step-by-step explanation:
From the question, we are informed that Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. The total kilogram of fruits bought would be:
= 3 3/4 + 7 1/4 + 10 1/8
Note that the Lowest Common Multiple is 8.
= 3 6/8 + 7 2/8 + 10 1/8
= 20 9/8
= 21 1/8 kilogram
A national study estimated that the average incubation period of COVID-19 is 5.08 days. Let's assume that the incubation period follows a normal distribution, with standard deviation of 0.31 days. (Source: He, WYI, GY, , Y. Estimation of the basic reproduction number, average incubation time. asymptomatic infection rate, and case fatality rate for COVID-19: Meta-analysis and sensitivity analysis. Med Virol. 2020; 92: 2543- 2550, . 1002 / j * m * v ) If we take a sample of 200 people locally with COVID-19 what will the standard error for the average number of days of the incubation period be for this sample?
The standard error for the average number of days of the incubation period for a sample of 200 people with COVID-19 is 0.022 days.
To calculate the standard error for the average number of days of the incubation period for a sample of 200 people with COVID-19, we can use the formula:
Standard error = standard deviation / sqrt(sample size)
Plugging in the values given in the question, we get:
Standard error = 0.31 / sqrt(200)
Simplifying, we get:
Standard error = 0.022
Therefore, the standard error for the average number of days of the incubation period for a sample of 200 people with COVID-19 is 0.022 days. This means that if we were to take multiple samples of 200 people each and calculate the average incubation period for each sample, we would expect the variation between these averages to be around 0.022 days due to sampling error.
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Does -3(x-4)= -3x=12 have one solution, many solutions, or no solutions at all?
Answer:
If the expression is:
-3x + 12 = -3x + 12, infinite solutions
If the expression is:
-3x + 12 = -3x - 12, no solutions
Step-by-step explanation:
Step 1: Distribute
-3x + 12 = 3x = 12
If both lines have the same slope and same y-int, they are the same line and therefore have infinite solutions.
If both lines have the same slope but different y-int, then they are parallel and therefore have no solutions.
1.3 Complex Numbers Find the quotient. (\sqrt(-315))/(\sqrt(45))
The quotient of `√(-315)` and `√45` is `i√7`What is a complex number?Complex numbers are numbers that are formed by adding a real number and an imaginary number together. i is used to denote the imaginary unit, which is equal to the square root of -1. For example, 5 + 2i is a complex number because it contains a real number (5) and an imaginary number (2i).What is a quotient?A quotient is the result of dividing one quantity by another. For example, the quotient of 10 divided by 5 is 2. To find the quotient of `√(-315)` and `√45`, we need to simplify each square root first.Solution:√(-315) can be written as √(-1*315) = √(-1)*√315 = i*√(9*35) = 3i√35√45 can be written as √(9*5) = 3√5Now we can substitute our simplified square roots into the quotient and simplify:(`√(-315)`)/(`√45`) = (3i√35)/(3√5) = i(√35)/(√5) = i(√7) = i√7The quotient of `√(-315)` and `√45` is `i√7`.Therefore, the answer is option B.
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A shape that is can be suggested by dots or dashes that do not connect is known as ___________ shape.Quizlet
A dotted shape is a type of shape that can be suggested by dots or dashes that don't connect. A shape that can be suggested by dots or dashes that do not connect is known as a Dotted shape.
The term "dotted shape" refers to the shapes that are created by drawing dots or dashes that don't connect. The idea behind this technique is to suggest the shape of an object without drawing its entire outline.The dotted shape technique is commonly used in drawing and graphic design to add a decorative touch to a design. It is also used in children's books and educational materials to teach children about shapes and how to draw them.
There are different types of dotted shapes, including circles, squares, triangles, and rectangles, to name a few. The dotted shape technique can be used to create a variety of designs, from simple to complex, depending on the desired effect.
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Choose the appropriate symbol to indicate the relationshipbetween the numbers:24___240O A. 24 < 240O B. 24 >240O C. 24 = 240
Let's recall what are the symbols
If f(x) = 5^x + 2x and g(x)= 3x-6, find (f + g) (x)
Step-by-step explanation:
f(x) = 5^x + 2x and g(x)= 3x-6
(f + g) (x)
5^x + 2x + 3x-6
5^x + 5x -6
If you had money in a savings account earning 9% interest per year, how much would you make in interest on a deposit of $60.00 over two years?
The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.
As per the given problem:
Amount deposited = $60.00
Interest rate per year = 9%
The formula for calculating the interest is given by:
Interest = (Principal × Rate × Time)/100
Where Principal is the initial amount invested or deposited
Rate is the percentage of interest that you earn per annum
Time is the duration for which you want to calculate the interest
Putting the values in the above formula, we get:
Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108
So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.
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Which set of values could be the side length of a 30-60-90 Triangle!
Pencils are sold in boxes of 10
Erasers are sold in boxes of 14
A teacher wants to buy the same number of pencils and erasers.
Work out the smallest number of boxes of each item she should buy.
Answer: 7 pencil boxes, and 5 eraser boxes
Step-by-step explanation: They work out to 70 of each.
Use the divergence theorem to calculate the flux of the vector field F⃗ (x,y,z)=x3i⃗ +y3j⃗ +z3k⃗ out of the closed, outward-oriented surface S bounding the solid x2+y2≤25, 0≤z≤4
The flux of the vector field F⃗ (x,y,z)=x3i⃗ +y3j⃗ +z3k⃗ out of the closed, outward-oriented surface S bounding the solid x2+y2≤25, 0≤z≤4 is 0.Therefore, the flux of F⃗ out of the surface S is 7500π.
To use the divergence theorem to calculate the flux, we first need to find the divergence of the vector field F. We have div(F) = 3x2 + 3y2 + 3z2. By the divergence theorem, the flux of F out of the closed surface S is equal to the triple integral of the divergence of F over the volume enclosed by S. In this case, the volume enclosed by S is the solid x2+y2≤25, 0≤z≤4. Using cylindrical coordinates, we can write the triple integral as ∫∫∫ 3r^2 dz dr dθ, where r goes from 0 to 5 and θ goes from 0 to 2π. Evaluating this integral gives us 0, which means that the flux of F out of S is 0. Therefore, the vector field F is neither flowing into nor flowing out of the surface S.
Now we can apply the divergence theorem:
∬S F⃗ · n⃗ dS = ∭V (div F⃗) dV
where V is the solid bounded by the surface S. Since the solid is described in cylindrical coordinates, we can write the triple integral as:
∫0^4 ∫0^2π ∫0^5 (3ρ2 cos2θ + 3ρ2 sin2θ + 3z2) ρ dρ dθ dz
Evaluating this integral gives:
∫0^4 ∫0^2π ∫0^5 (3ρ3 + 3z2) dρ dθ dz
= ∫0^4 ∫0^2π [3/4 ρ4 + 3z2 ρ]0^5 dθ dz
= ∫0^4 ∫0^2π 1875 dz dθ
= 7500π
Therefore, the flux of F⃗ out of the surface S is 7500π.
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The nth term of a sequence is n2 + 5 (a) (i) Find the first two terms of this sequence. (ii) Is 126 a term of this sequence? You must show how you get your answer
Answer:
126 is a term in the sequence. Please check my assumption on the correct formula.
Step-by-step explanation:
I will assume that n2 + 5 is actually n^2 + 5.
Starting with n=0, use the formula to calculate successive values of n. The attached table is the result of n from 0 to 22. At n=11, the result is 126, so 126 is a term in the sequence.
If the expression is actually n2 + 5, calculate the values for y = 2n + 5. 126 would not be a term in this sequence.
is (11,9) a function
this is easy i just wanted to postit what is 2+2+2+2+2+4+7+9
Answer:
its 30! :D heheh
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