The given function for peanuts is continuous function.
What is defined as the continuous functions?A continuous function, as the name implies, refers to one for whom the graph is continuous without a breaks or jumps.
In other words, if we can create the curve (graph) of a function even without lifting a pencil, we can say that function is continuous.In calculus, a function f(x) is considered to be a continuous function at a point x = a if its curve does not break at that point x = a .For the given expression in the question;
The relation between the cost 'c' and wight 'p' in pounds for the peanuts is given as;
c = 1.5p
As, you can see that the expression is a polynomial having two variables with the highest degree 1.
And, as we know that the every polynomial is a continuous function.
The given function forms a straight line on as for every different real value of p there s single value of c, which varies linearly.
Therefore, the function c = 1.5p is a continuous function forming a straight line.
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#6.
Find the irrational number to the nearest hundredth without using a calculator or number line.
Sorry it looks like that I hope someone understands 45
We know that the irrational number is between:
6 < √45 < 7
And a good estimation is √45 = 6.71
How to approximate the irrational number?Here we just need to find a lower and upper bound for the given irrational number.
To do it, we just need to find a square number larger and a square number smaller than the number inside the square root.
The larger one will be:
7*7 = 49
The smaller one will be:
6*6 = 36
Then we can write:
√36 < √45 < √49
6 < √45 < 7
So we now know that our number is between 6 and 7, that is already a good estimation, now you can also try to see if it is closer to 6 or 7, by taking the direct square root you will get:
Now just take the product between numbers of the form:
6.10*6.10 = 37.21
And so on, until we almost reach 45.
We will get:
6.71*6.71 = 45.02
So a good estimation is √45 = 6.71
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I think of a number . The LCM of this number and 42 is 126. If the number lies between 60 and 70 what is the number
If the number lies between 60 and 70 then the number is 63
How to determine the number if the number lies between 60 and 70?The given parameters are
LCM = 126
Second number = 42
The initial number is said to be between 60 and 70
The only number between 60 and 70 that has the same common factor as 126 and 42 is 63
Hence, if the number lies between 60 and 70 then the number is 63
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8
2) Which equivalent expression uses GCF and Distributive Property to find the
sum of to 16+28?
1(16+28)
O2(8+14)
2(8+28)
4(4+7)
*
4(4+7) is the equivalent expression uses GCF and Distributive Property to find the sum of to 16+28.
What is GCF?The greatest positive integer m that divides both x and y is the GCF of two or more non-zero integers, x and y. As a result, the greatest common factor is also referred to as the Highest Common Divisor (HCD), the Highest Common Factor (HCF), or the Greatest Common Divisor (GCD).
What is the Distributive Property?According to the distributive property, an expression in the form A (B + C) can be solved as A (B + C) = AB + AC. This distributive law also applies to subtraction and is denoted by A (B - C) = AB - AC. This means that the other two operands share operand A.
The given expression is 16 + 28.
The greatest common factor is 4.
So taking the greatest common factor from the both the numbers.
We get, 4 (4+7)
So the resultant expression is 4 (4+7).
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Given that one centimeter is approximately 0.01 yards, how many
inches are in 66.75 centimeters?
Provide an answer accurate to the nearest tenth.
==========================================
Work Shown:
1 cm = 0.01 yards
66.75*(1 cm) = 66.75*(0.01 yards)
66.75 cm = 0.6675 yards
1 yard = 3 feet
0.6675*(1 yard) = 0.6675*(3 feet)
0.6675 yards = 2.0025 feet
1 foot = 12 inches
2.0025*(1 foot) = 2.0025*(12 inches)
2.0025 feet = 24.03 inches
round 72 to the neareat ten? what's the answer>
70? Is this a trick question?
Answer:
It will be 70
Step-by-step explanation:
Because poor number from 0 to 4
r squared minus 15 = t + 19
The given equation r² - 15 = t + 19 is the equation of a parabola with vertex at (h, k) = (0, -34) and focal length |p| = 1/4.
I assume that the question is to describe or graph the equation r² - 15 = t + 19.
The given equation r² - 15 = t + 19 is the equation of a parabola with vertex at (h, k) = (0, -34) and focal length |p| = 1/4.
4p(y - k) = (x - h)² is the common equation for a parabola that faces up and down and has a vertex at (h, k) and a focal length of |p|.
Let us re-write the given equation in the standard form.
r² - 15 = t + 19
⇒ r² = t + 19 + 15
⇒ r² = t + 34
⇒ (r - 0)² = t + 34 (r can be written as r - 0)
⇒ (r - 0)² = t - (-34) (+34 is written as -(-34))
⇒ (r - 0)² = 4 × 1/4 × (t - (-34))
(4 × 1/4 is equal to 1. The given equation is unaffected by a multiplication by 1.)
⇒ 4 × 1/4 × (t - (-34)) = (r - 0)² this equation is in the standard form. And here we have |p| = 1/4 and (h, k) = (0, -34).
Refer to the attached image for the graph of this equation.
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60units needed 14 units per case what's the #of cases & # of additional units
There will be 5 cases and 10 additional units.
Here, we are given that 60 units are needed with 14 units per case.
The total number of units required = 60
Units required for 1 case = 14
Let the total number of cases = n
Thus, total number of units required for n cases = 14n
⇒ 60 = 14n
14n = 60
n = 60/ 14
n = 4.285
Thus, we get that the number of cases = 4.285
But, since cases cannot be in decimals, we need to round off n to 5 ( as 4 cases won't add up to 60).
Thus, the total number of cases are 5.
Additional units = 14 × 5 - 60
= 70 - 60
= 10
Thus, the number of additional units are 10.
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Tacoma's population in 2000 was about 200 thousand, and has been growing by about 9% each year. If this continues, what will Tacoma's population be in 2017?
_____ thousand people
The population of Tacoma in 2017 would be 865,527.
What will be the population in 2017?If the population grows by 9% every year, the population would grow at a compound rate each year and the equation that can be used to determine the population in 2017 would be an exponential equation.
Compound growth is when both the existing population and the increase in population every year.
The equation that can be used to determine the population of Tacoma in 2017 is:
The formula for calculating future value:
FV = P (1 + r)^n
Where:
FV = Future value P = Present populationR = rate of growthN = number of years : 2017 - 2000 = 17200,000 x (1 + 0.09)^17
200,000 x (1.09^17) = 865,526.68
In order to round 865,526.68 to the nearest whole number , look at the tenth figure, if it is greater or equal to 5, add one to the units digit and change the tenth and hundredth digit to 0. So, 865,526.68 becomes 865,527.
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Consider two neighboring island countries called Contente and Euphoria. They each have 4 million labor hours available per week that they can use to produce jeans, rye, or a combination of both. The following table shows the amount of jeans or rye that can be produced using 1 hour of labor.
Country Jeans Rye
Contente 5 10
Euphoria 4 16
Initially, suppose Contente uses 1 million hours of labor per week to produce jeans and 3 million hours per week to produce rye, while Euphoria uses 3 million hours of labor per week to produce jeans and 1 million hours per week to produce rye. Consequently, Contente produces 5 million pairs of jeans and 30 million bushels of rye, and Euphoria produces 12 million pairs of jeans and 16 million bushels of rye. Assume there are no other countries willing to trade goods, so, in the absence of trade between these two countries, each country consumes the amount of jeans and rye it produces.
Contente's opportunity cost of producing 1 pair of jeans is ___ of rye, and Euphoria's opportunity cost of producing 1 pair of jeans is ___ of rye. Therefore ___ has a comparative advantage in the production of jeans, and ___ has a comparative advantage in the production of rye.
Suppose that each country completely specializes in the production of the good in which it has a comparative advantage, producing only that good. In this case, the country that produces jeans will produce ___ million pairs per week, and the country that produces rye will produce ___ million bushels per week.
n the following table, enter each country's production decision on the third row of the table (marked “Production”).
Suppose the country that produces jeans trades 13 million pairs of jeans to the other country in exchange for 39 million bushels of rye.
In the following table, select the amount of each good that each country exports and imports in the boxes across the row marked “Trade Action,” and enter each country's final consumption of each good on the line marked “Consumption.”
When the two countries did not specialize, the total production of jeans was 17 million pairs per week, and the total production of rye was 46 million bushels per week. Because of specialization, the total production of jeans has increased by ___ million pairs per week, and the total production of rye has increased by ___ million bushels per week.
1. Euphoria's opportunity cost of producing a a bushel of rye is 4 pairs of jeans.
Contentes opportunity cost of producing a bushel of rye is 2 pairs of jeans.
2. Contente has comparative advantage in producing rye
Euphoria has comparative advantage in jeans production
How to find the opportunity Cost?For Euphoria:
The opportunity cost of producing a unit of rye in terms of jeans is;
Opportunity Cost = 20/5 = 4
For contente:
The opportunity cost of producing a unit of rye in terms of jeans is;
Opportunity Cost = 16/8 = 2
The opportunity cost of producing 1 unit of jean in terms of unit of rye:
For euphoria = 5/20 = 1/4
For contente = 8/16 = 1/2
1. Euphoria's opportunity cost of producing a a bushel of rye is 4 pairs of jeans.
Contentes opportunity cost of producing a bushel of rye is 2 pairs of jeans.
2. Contente has comparative advantage in producing rye
Euphoria has comparative advantage in jeans production
3. Contente produces 8 bushels of rye so with 4 million hours of labor = 8x4 = 32 million bushels in a week.
Euphoria 20 pairs of jean in a week, using 4 million hours of labor. 20x4 = 80 pairs of jean a week
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How do you rewrite an expression using twelfths
distributive property to write these products as a sum. If drawing rectangles helps you, feel free to use that visual aid to
Using Distributive Property, we have;
13) 5(m - 2) = ((5*m) + (5 * -2))
14) 8(y + 2) = ((8*y) + (8 * 2))
15) -3(m + 4) = ((-3*m) + (-3 * 4))
16) a(a + 3) = ((a*a) + (a * 3))
17) h(h - 2) = ((h*h) + (h * -2))
18) 2m(m + 4) = ((2m*m) + (2m * 4))
19) -2(z - 8) = ((-2*z) + (-2 * -8))
20) -4x(x - 10) = ((-4x*x) + (-4x * -10))
How to use the distributive property?
The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC
13) 5(m - 2) expressed using distributive property is;
((5*m) + (5 * -2))
14) 8(y + 2) expressed using distributive property is;
((8*y) + (8 * 2))
15) -3(m + 4) expressed using distributive property is;
((-3*m) + (-3 * 4))
16) a(a + 3) expressed using distributive property is;
((a*a) + (a * 3))
17) h(h - 2) expressed using distributive property is;
((h*h) + (h * -2))
18) 2m(m + 4) expressed using distributive property is;
((2m*m) + (2m * 4))
19) -2(z - 8) expressed using distributive property is;
((-2*z) + (-2 * -8))
20) -4x(x - 10) expressed using distributive property is;
((-4x*x) + (-4x * -10))
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Question 9
The table shows the ingredients needed to make one batch of homemade slime.
Ingredient
Amount (fl oz)
Glue
Liquid Starch
Water
4
Dodi has 2 cups of liquid starch and will use the entire amount. She plans to store the slime in containers that each hold a maximum of 6 fluid
ounces. How many containers will she need? Write an argument to defend your solution. (Hint: 2 cups = 16 fluid ounces)
Dodi will need
containers.
Dodi has
fluid ounces, of liquid starch, so she will make
batches of slime. Each batch makes 4 x 3, or 12 fluid ounces, so she will make a total of
containers to hold all of the slime.
will need
4
4
+4, or
fluid ounces of slime
It is given that Dodi has two cups of liquid starch
2 cups =16 fluid ounces
1 container can hold 6 fluid ounces
We are required to find that how many containers are required
1 container contains 6 ounces
Hence 16 ounces will be contained in 3 containers
Hence Dodi will required 3 containers.
Disclaimer:
The question is incomplete and jumbled
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7-5x-10+3x simplified please show steps
Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test.
OB. No, because it is not a curve.
OC. Yes, because it passes the vertical line test.
OD. Yes, because it has two straight lines.
Answer:
the answer is D
Step-by-step explanation:
because it has two straight lines
given h(x) = 4x + 3, find h(4)
Answer:
19
Step-by-step explanation:
Formula
h(x) = 4x + 3
Givens
x = 4
Comment
h(x) is the same thing as y. So the equation can be written as y = 4x + 3
Now it is a simple matter of solving 4x + 3 given that x = 4.
Solution
f(4) = 4*4 + 3 Combine
f(4) = 16 + 3 Add
Answer
f(4) = 19
c = 1/2 ab^2
Solve for b
Answer:
b= √2ca /a
Step-by-step explanation:
it was a question on my test yesterday
Hello can someone helpHELLLLLPPPPP PLEASE. Write the ordered pair for each letter on the graph
By critically observing the graph shown above, the set of ordered pairs include the following:
A = (2, 4)B = (-1, 2)C = (-3, -2)D = (2, 0)E = (0, -4)F = (5, -4)What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is an ordered pair?An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.
Note: Let each box/cell in the graph represent 1 unit.
By critically observing the graph shown above, we can logically deduce that the set of ordered pairs include the following:
A = (2, 4)B = (-1, 2)C = (-3, -2)D = (2, 0)E = (0, -4)F = (5, -4)Read more on ordered pairs here: https://brainly.com/question/13432927
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What is 3m - 5 = 19.
Can you please show all your steps please.
Answer:
Step-by-step explanation:
Divide. 827 divided by 19
Enter your answer in the boxes as a mixed number in simplest form.
Answer:
43 10/19
Step-by-step explanation:
The speed limit in Canada is 100km/hr. What is the value of this limit in mi/hr given 1mi = 1.609km?
If the speed limit in Canada is 100km/hr than it's limit in mi/hr will be 62.15 mi/hr.
It is given in the question that 1.609 km = 1 mi
So , 1km= 1/1.609 mi
1km = 0.6215 mi
So if a car travels 1 km in 1 hr then it will travel 0.6215 miles in hr.
that means 1km/hr = 0.6215mi/hr
Now ,
to convert 100km/hr to mi/hr
we have ,
100km/hr = 100*0.6215 mi/hr
=62.15 mi/hr
Therefore , If the speed limit in Canada is 100km/hr than it's limit in mi/hr will be 62.15 mi/hr.
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A 1000L tank now contains 240L of water. How long will it take to fill the tank using a pump that pumps 25L per minute
The time taken to fill the tank using a pump that pumps 25L per minute
is 30.4 minutes
Given that A 1000L tank now contains 240L of water and asked the time taken to fill the tank using a pump that pumps 25L per minute.
The amount of water that can be filled in tank=760L
Given that a pump that pumps 25L per minute ,
The time required to fill 760L {if a pump that pumps 25L per minute }=[tex]\frac{760}{25}[/tex]
The time required to fill 760L {if a pump that pumps 25L per minute }=30.4 minutes
Therefore,The time taken to fill the tank using a pump that pumps 25L per minute is 30.4 minutes
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30 POINTS!!! PLEASE HELP ME! ASAP
Answer:
I think is higher
Step-by-step explanation:
which one doesn't belong explain why you chose that answer.
Answer:
2 because the unit rate is not the same for all the others it is consistant
Step-by-step explanation:
enedos bns viimstolquoHSAT or
4. Mr. Farley used 4 pounds of hamburger to
make 10 hamburger patties of the same size.
How many pounds of hamburger did he use
per patty?
Mr. Farley used 0.4 pounds of hamburger per patty.
The unitary method is a technique used to find the solution by first finding the value of a single unit and then multiplying the value to get the required answer.
Here, we are given that Mr. Farley used 4 pounds of hamburger to
make 10 hamburger patties.
Given that all of these patties are of the same size, an equal amount of hamburger will be used to make each patty.
We have,
For 10 patties, we need ⇒ 4 pounds of hamburger.
Therefore, for 1 patty we will need ⇒ 4/10 pounds
= 0.4 pounds
Thus, Mr. Farley used 0.4 pounds of hamburger per patty.
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help me with homework
The solution to the geometric sequence in the question are;
First part;
r = 3
[tex]a_{8} = 8748 [/tex]
Second part;
r = 4
[tex]a_{6} = 9216 [/tex]
Practice:
r = 8
[tex]a_{7} = 0.3125 [/tex]
Third part;
Please see the detailed reasons in following section
Fourth part;
[tex] {a}_{n} = 4 × {a}_{n-1}[/tex]
[tex] {a}_{n} = 0.2 × {a}_{n-1}[/tex]
How can the geometric sequence be evaluated?First part;
The formula for geometric progression can be presented as follows;
[tex] a_{n} = a_{1} \times {r}^{n - 1} [/tex]
[tex]a_{4} =108 = a_{1} \times {r}^{4 - 1} [/tex]
Where;
[tex]a_{1} = 4 \: and \: a_{4} = 108[/tex]
We have;
[tex]a_{4} =108 = 4 \times {r}^{4 - 1} = 4 \cdot {r}^{3} [/tex]
Which gives;
[tex] {r}^{3} = \frac{108}{4} = 27[/tex]
[tex]r = \sqrt[3]{27} = 3[/tex]
r = 3
Therefore;
[tex]a_{8} = 4 \times {3}^{7} = 8748 [/tex]
Second part;
Where;
[tex]a_{1} = 9 \: and \: a_{3} = 144[/tex]
Therefore;
[tex] {r}^{2} = \frac{144}{9} = 16[/tex]
[tex]r = \sqrt{16} = 4[/tex]
r = 4
Which gives;
[tex]a_{6} = 9 \times {4}^{5} = 9216 [/tex]
Practice;
[tex]a_{1} = 3 \: and \: a_{4} = 1536[/tex]
Therefore;
[tex] {r}^{3} = \frac{1536}{3} = 512[/tex]
[tex]r = \sqrt[3]{512} = 8[/tex]
r = 8
[tex]a_{1} = 20 \: and \: a_{3} = 5[/tex]
Therefore;
[tex] {r}^{2} = \frac{5}{20} = 0.25[/tex]
[tex]r = \sqrt{0.25} = 0.5[/tex]
Which gives;
[tex]a_{7} = 20 \times {0.5}^{6} = 0.3125 [/tex]
Third part
Recursively means expression in terms of previous terms
The meaning of the equation is that each term of a geometric sequence is given by the product of the common ratio and the previous term
Fourth part;
The recursive formula for the sequence, {2, 8, 32, 128...} is found as follows;
r = 8/2 = 4
Therefore;
[tex] {a}_{n} = 4 × {a}_{n-1}[/tex]
Part;
The sequence is {200, 40, 8, 1.6...}
The common ratio is; 40/200 = 0.2
The recursive formula is therefore;
[tex] {a}_{n} = 0.2 × {a}_{n-1}[/tex]
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Select the correct answer from the drop-down menu. Right triangle ACD is represented with the right angle at vertex D. A right triangle with base BD is represented whose vertical leg overlaps the portion of segment CD. Angle B and angle C are marked congruent. In the figure, m∠B = m∠C and ∠D is a right angle. cos B = sin B
y=-3x+8 determine the y-value of each ordered pair based on the given x-value
When x = 0 in the given equation, the value of y = 8.
What are equations?An equation, in its most basic form, is a mathematical statement that shows that two mathematical expressions are equal. For example, 3x + 5 = 14 is an equation in which the expressions 3x + 5 and 14 are separated by a 'equal' sign.The value is 'x' is not given then we will consider x = 0.
Now, substitute x = 0 in the equation.
y = -3x + 8y = -3(0) + 8y = 8Therefore, the value of y = 8 when x = 0 is in the given equation.
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If f(a) = 3a – a2, which of the following are not true statements? Select all that apply. f(-5) = -40 f(4) = -4 f(-1) = 2 f(0) = 3 f(3) = 0
Solving the Question
We're given:
[tex]f(a) = 3a - a^2[/tex]Determine f(-5):
[tex]f(a) = 3a - a^2\\f(-5) = 3(-5) - (-5)^2\\f(-5) = -15 - 25\\f(-5) = -40[/tex]
Therefore, this statement is true.
Determine f(4):
[tex]f(a) = 3a - a^2\\f(4) = 3(4) - (4)^2\\f(4) = 12 - 16\\f(4) = -4[/tex]
Therefore, this statement is true as well.
Determine f(-1):
[tex]f(a) = 3a - a^2\\f(-1) = 3(-1) - (-1)^2\\f(-1) = -3 - 1\\f(-1) = -4[/tex]
Therefore, this statement is not true.
Determine f(0):
[tex]f(a) = 3a - a^2\\f(0) = 3(0) - (0)^2\\f(0) = 0 - 0\\f(0)=0[/tex]
Therefore, this statement is also not true.
Answerf(-5) = -40
f(4) = -4
Beinggreat78 is great!
:)
Answer:
3/20 = 15%
Step-by-step explanation:
Answer:
3/20 = 0.15 = 15%
HELP ASSAAAPPPP!!!!!!
Answer:
(-4, 0); x = -4, y = 0
Step-by-step explanation:
The solution is the point that satisfies both equations. It is the point of intersection of the two lines.
Answer: (-4, 0)