What is the average amount of milk used for an order of pancakes? Enter your answer as a fraction or mixed number in simplest form.
Complete question :
What is the average amount of milk used for an order of pancakes? Enter your answer as a fraction or mixed number in simplest form.
1/2c, 1/4c, 1/2c, 3/4c, 1/2c, 3/4c, 1/2c, 1/4c, 1/2c, 1/2c
Answer:
1/2c
Step-by-step explanation:
Taking the sum :
1/2c + 1/4c + 1/2c + 3/4c + 1/2c + 3/4c + 1/2c + 1/4c + 1/2c + 1/2c = 6/2c + 2/4c + 6/4c
6/2c + 2/4c + 6/4c
3/1 + 1/2 + 3/2 = (6 + 1 + 3) / 2 = 10 /2
= 5
Total number of orders = 10
Average = 5 / 10 = 1 /2 c
A construction worker is pouring concrete stairs. The first step requires 1.7 cubic feet of concrete, and the first 4 steps require a total of 17 cubic feet. If the steps follow an arithmetic series, how much concrete is required for the first 12 steps
Based on the given parameters of a = 1.7 cubic feet and concrete for first 4 steps as 17 cubic feet, the concrete is required for the first 12 steps is 132.6 cubic feet
Arithmetic progressionFirst term, a = 1.7 cubic feetSum of first four terms = 17 cubic feetSn = n/2 {2a + (n - 1) d}
17 = 4/2{2×1.7 + (4 - 1)d}
17 = 2{3.4 + (3)d}
17 = 2(3.4 + 3d)
17 = 6.8 + 6d
17 - 6.8 = 6d
10.2 = 6d
d = 10.2/6
Common difference, d = 1.7Concrete required for first 12 steps;
Sn = n/2 {2a + (n - 1) d}
= 12/2{2×1.7 + (12-1)1.7}
= 6{3.4 + (11) 1.7}
= 6(3.4 + 18.7)
= 6(22.1)
= 132.6
Concrete required for first 12 steps = 132.6 cubic feet
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Answer:
132.6 cubic feet
Step-by-step explanation:
Daniel works at Funplex. Last week, he worked for 12 hours and made $93.84. How much does Daniel make per hour?
Answer
$7.82
Step-by-step explanation:
12 hrs=$93.84
1 hr= 93.84/12
1 hr=$7.82
Determine whether the series is convergent or divergent. 3^(n+1)4^-n If it is convergent, find its sum.
Geometric series is convergent if the |r|<1 where r is the common ratio.
Let Sn=∑ni=0(−3/4)i then
Sn=(−3/4)n+1−1(−3/4)−1
Now take n→∞ then
Sn→0−1(−3/4)−1=4/7
because |−3/4|<1 and so (−3/4)n→0. Now note that your sum is
lim ∑i=1n+1(−3)i−14i=lim 14∑i=1n+1(−3)i−14i−1=1/4.lim Sn=1/7.
Geometric series: A geometric series is the result of adding together geometric sequences indefinitely. Depending on the sequence given to us, such infinite sums can either be finite or infinite. A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit. In contrast, a divergent series is one whose partial sums do not reach a limit. Divergent series frequently reach, reach, or avoid a particular number.
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A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds 560. The theater
sells a bag of popcorn for $6 and bottle of soda for $3.50. Let x represent the number of bags of popcorn, and let y represent the
number of bottles of soda. Which Inear inequality can be used to find the quantities of popcorn and soda that should be purchased
to receive a poster?
Drag the costs to the table to classify them as direct operational costs or costs
covered by business insurance. 
Costs Covered by
Business Insurance
Direct Operational Costs
Rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.
What are operating expenses?A continuing cost for maintaining a system, a business, or a product is known as an operating expense, operating expenditure, operational expenditure, operational expenditure, or OPEX.
The expense of creating or providing non-consumable pieces for the system or product is known as capital expenditure (capex).
For instance, the annual costs of paper, toner, power, and maintenance for a photocopier are opex, while the cost of the photocopier itself is capex.
Additional running costs for a service-based business could include rent, insurance, commissions, and other costs.
The majority of these costs are routine daily spending.
Costs that weren't directement necessary for those activities are referred to be non-operating expenses.
Therefore, rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.
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Correct question:
A service business may have some additional operating expenses like rent, insurance, commissions, and so on. Most of these expenses are incurred on a ___ basis.
Find the property for
9 • (-1 • x) = 9 • (-x)
I need help with this
 
                                                Answer:
every year he earns 43344
and every month he earns 3612
Which of the following expressions represents sin x + sin y= + y2? 0 A dy = 2.2-COSI 2y-cosy dz 0 В. dy 2x+cos3 2y+cos y du o dy de 2y-cos y 2.1-COSI O D dy 2.1-cos2 2y-cosy O E dy d 2r+COST 2y+cos y
- [(2x - cos x) / (2y - cos y)] of the following expressions represents sin x + sin y = x² + y², using the concept of differentiation.
What is differentiation?One method is to determine a function's derivative by differentiation. Finding the instantaneous rate of change of a function depending on one of its variables is a technique known as differentiation in mathematics.
Differentiation refers to the process of calculating a function's derivative. The derivative, when applied to two variables x and y, is the rate at which x changes in relation to y. To calculate the immediate rate of change of quantities, differentiation is used.
sin x + sin y = x² + y²
Differentiating w.r.t x
d/dx (sin x + sin y) = d/dx (x² + y²)
or, cos x + cos y dy/dx = 2x + 2y dy/dx
or, cos y dy/dx - 2y dy/dx = 2x - cos x
or, dy/dx (cos y - 2y) = 2x - cos x
or, dy/dx = (2x - cos x) / (cos y - 2y)
or, dy/dx = - [(2x - cos x) / (2y - cos y)]
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6. Danielle wants to construct different triangles with angle measures of
90°, 45°, and 45°, but she was only able to draw the triangle shown
at the right.
What mistake might Danielle have made?
 
                                                Danielle didn't change the length of triangle then he draw that infinite triangles with given measure.
What is right triangle?
A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles. it.
Given:
Danielle wants to construct different triangles with angle measures of
90°, 45°, and 45°. She was only able to draw the triangle shown at the right.
She did not consider that the triangle could be enlarged or reduced, while keeping the same angle measures, to make a different triangle.
Hence, Danielle didn't change the length of triangle then he draw that infinite triangles with given measure.
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r is inversely proportionate to a
when r = 12 a = 1.5
work out the value of r when a = 5
work out the value of a when r = 9
Answer:
r = 3.6 , a = 2
Step-by-step explanation:
given that r is inversely proportional to a then the equation relating them is
r = \(\frac{k}{a}\) ← k is the constant of proportion
to find k use the condition when r = 12 , a = 1.5
12 = \(\frac{k}{1.5}\) ( multiply both sides by 1.5 )
18 = k
r = \(\frac{18}{a}\) ← equation of proportion
when a = 5 , then
r = \(\frac{18}{5}\) = 3.6
when r = 9 , then
9 = \(\frac{18}{a}\) ( multiply both sides by a )
9a = 18 ( divide both sides by 9 )
a = 2
A scientist measures the growth of a new type of ivy that has been bred to grow in all types of weather. At the end of each way to scientist measures the length of the Vine. It's the vine continues to grow at this rate, it will be blank inches long at the end of 5 weeks.
Answer:it will be 20 inches long at the end of 5 weeks
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
i got it wrong and it showed me the real answer
Brenda is opening a savings account which compounds interest quarterly. Her banker gave her the following expression to
find the amount that will be in the account, in dollars, after tyears.
4,200(1.05)41
Which statement below best describes the base, 1.05?
OA.
the amount of the initial deposit
OB
the amount of the yearly earnings
OC. the rate at which the account is increasing
OD
the number of times the account has compounded since it was opened
Answer:
The correct option is;
C. The rate at which the account is increasing
Step-by-step explanation:
The given parameters are;
The rate at which the compound interest on the savings account is compounded = quarterly
The expression given by her banker to find the amount in the account after t years = 4,200(1.05)^(4t)
Therefore, the 1.05 = The rate at which the account is increasing
h(t)=−16t2+24t+40, how long does it take to fall to the ground?
Answer:
2.5 seconds
Step-by-step explanation:
h will be 0 when it hits the ground
0 = -16t^2 + 24t + 40
use Quadratic Formula to find t = 2.5 seconds
Evaluate the algebraic expression 9+6(x-3) When x=5,9+6(x-3)³ = College Algebra Summer I Section 195 Homework: HW 1, Expressions, Exponents, Roots, and Polynomia Question 7, P.1.129 Part 1 of 2 The maximum heart rate, in beats per minute, that you should achieve during exercise is 220 minus your age, 220-a. Your exercise goal is 7 Lower limit of range H=10 (220-a) 4 Upper limit of range H=(220-a) me a. What is the lower limit of the heart range, in beats per minute, for a 36-year-old with this exercise goal? beats per minute. The lower limit of the heart range is (Round to the nearest integer as needed.)
To find the lower limit of the heart range for a 36-year-old with the exercise goal of 7,the lower limit of the heart range for a 36-year-old with this exercise goal is 1840 beats per minute.
Substituting a = 36 into the formula, we can use the formula provided: H = 10(220 - a), where a represents the age we get:
H = 10(220 - 36)
H = 10(184)
H = 1840
Therefore, the lower limit of the heart range for a 36-year-old with this exercise goal is 1840 beats per minute.
In this context, the formula 10(220 - a) calculates the maximum heart rate, in beats per minute, that a person should achieve during exercise based on their age. The lower limit of the heart range is the minimum value within this range. By substituting the given age value (36) into the formula, we find the corresponding lower limit of the heart range. The result is rounded to the nearest integer as indicated.
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HELP DUE IN 10 MINS!
Will GIVE BRAINLEST
 
                                                Answer:
AB= 5.582
Step-by-step explanation:
Centeral angle /360° = AB length/2 pi r
\( \frac{80}{360} = \frac{ab}{4} \\ ab = 5.582\)
Answer:
5.6
Step-by-step explanation:
the length of arc AB =
80/360 × 2× 3.14×4
= 2/9 × 3.14 × 8
= 5.58 => 5.6
Find the formula 
Plug in values 
Volume 
 
                                                Answer:
See explanations below
Step-by-step explanation:
Volume of the sphere is expressed as;
V = 4/3πr³
r is the radius
V = 4/3 * 3.14 * 3³
V = 4/3 * 3.14 * 27
V = 4 * 3.14 * 9
V = 113.04cube units
For the secind sphere;
diameter = 12
radius = 12/2 = 6
V = 4/3πr³
r is the radius
V = 4/3 * 3.14 * 6³
V = 4/3 * 3.14 * 216
V = 4 * 3.14 * 72
V = 904.32cube units
serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof.
Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof is 71.8 degree.
Measurement of Angle:
The measurement of angles is done using basic geometric tools such as protractors and compasses. This tool helps to find precise measurements of angles. A protractor helps provide accurate measurements of angles, while compasses help construct angles. Angles are measured in three ways: degrees, radians, and revolutions.
According to the Question:
Suppose the measure of angle is θ, then we have
Sinθ = 22.8/24
⇒ Sinθ = 0.95
Therefore,
θ = Sin⁻¹ (0.95)
= 71.8 degree.
Therefore, Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof is 71.8 degree.
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What is the value of expression
\( {5}^{3} \)
Answer:
125
What is an exponent?An exponent is the number written as a superscript above a number. This is used commonly in mathematics to signify multiplication, or the amount to multiply the number by.
If we look at \(5^{3}\) (Five to the power of 3), we can use this expression to solve for the answer.
5 × 5 × 5 = 125Therefore, the answer to \(5^{3}\) is 125.
The left and right page numbers of an open book are two consecutive integers whose sum is 253. Find these page numbers.
The consecutive page no. are 126 and 127.
WHAT ARE CONSECUTIVE INTEGERS ?An example of a run of consecutive integers is 1, 2, 3, 4. Another illustration is 7, 8, and 9. An integer sequence is a set of numbers where each term is one more than the term before it.
Continually following one another, from smallest to greatest, are consecutive numerals. For instance, the sequence of the numerals 1, 2, 3, 4, 5, and so forth.
The next two numbers are (n + 1) and (n + 2) if n is an integer. Take 1 for n as an example. Its subsequent numbers can be read as (2 and 3), or as (1 + 1) and (1 + 2).
CALCULATIONlet the consecutive page numbers be x and x+1
according to question ,
x + x + 1 = 253
2x = 252
x = 126
so the consecutive page numbers are 126 and 127.
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write in standard form
(2×10³)+(4×10²)+(4×10¹)+(4×1)
can somebody answer this please.
c:
Answer: 2,444
Step-by-step explanation: We can find the answer to this problem by simplifying the scientific notation, and then adding. You would end up with 2,000 + 400 + 40 + 4 if done correctly. Hope this helps!
The numbers 1 through 8 are to be placed in the circles in the diagram shown such that the sum of the numbers on each side of the figure
Answer:
no daigram
Step-by-step explanation:
crown me pls need 3 more
The width of a rectangle with an area of 72 square inches is 6 inches. What is the perimeter of the rectangle, in inches?
how do you know when to use chain rule?
We use the Chain Rule in differentiation , to find the derivative of composite functions .
The Chain Rule states that the derivative of a composite function is calculated by taking the derivative of the outer function first and then multiplying it by the derivative of inner function.
The chain rule can be mathematically written as ;
⇒ d/dx (f(g(x))) = f'(g(x)) × g'(x) ;
The chain rule is used when we have a function that is composed of two or more functions, and we want to find the derivative of the composite function.
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Angle bcd is a circumscribed angle of circle a. What is the length of line segment ac?
Step-by-step explanation:
Answer:
The length of segment AC is 10 units ⇒ 1st answer
Step-by-step explanation:
Look to the attached figure
In circle A
∵ AB is a radius
∵ BC is a tangent to circle A at B
- The radius and the tangent are perpendicular to each other
at the point of contact
∴ AB ⊥ BC at point B
∴ m∠ABC = 90°
In ΔABC
∵ m∠B = 90°
∵ AB = 8 units
∵ BC = 6 units
- By using Pythagoras Theorem (Square the hypotenuse is
equal to the sum of the squares of the other two sides of
the triangle)
∵ (AC)² = (AB)² + (BC)²
∴ (AC)² = (8)² +(6)²
∴ (AC)² = 64 + 36
∴ (AC)² = 100
- Take √ for both sides
∴ AC = 10 units
The length of segment AC is 10 units
follow me plzzz
Answer:A
On edge.
Step-by-step explanation:
lim x→0 e2x − e−2x − 4x x − sin(x)
the limit of the given expression as x approaches 0 is 16.
The limit of the given expression as x approaches 0 is indeterminate. We can use L'Hôpital's rule to evaluate it.
Differentiating the numerator and denominator separately:
lim x→0 [(2e^2x + 2e^(-2x)) - 4] / (1 - cos(x))
Taking the limit again:
lim x→0 [(4e^2x - 4e^(-2x)) / sin(x)]
Applying L'Hôpital's rule one more time:
lim x→0 [(8e^2x + 8e^(-2x)) / cos(x)]
Now, substituting x = 0 into the expression, we get:
(8 + 8) / 1 = 16
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thirty six men can cultivate a piece of land in 20 days. How many more men working at the same rate would be needed to cultivate the same piece of land in 15 days
Answer:
900+ hours
Step-by-step explanation:
Find the 26th term of an arithmetic sequence with \large a_1=-33 and \large d=4. a-130 b71 c-129 d67
Tn = a + ( n- 1 ) d
T 26 = -33 + ( 26 - 1 ) 4
T 26 = -33 + ( 25 x 4 )
= -33 + 100
= 67.............. Option D
determine the scale factor for a circle with a radius 9 in to a circle with diameter 6 in estimate your answer to 2 places after the decimal
The scale factor of the first circle with radius 9 in to that of the second circle with diameter 6 in is 3.00
The scale factor of a circle to another is the ratio of their radii
Radius of the first circle = 9 in
Diameter of the second circle = 6 in
Radius = Diameter / 2
Radius of the second circle = 6 / 2
Radius of the second circle = 3 in
Scale factor = (Radius of the first circle) / (Radius of the second circle)
Scale factor = 9/3
Scale factor = 3.00 (2 decimal places)
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What is the slope of the line represented by the equation 3x+4y= 12?
Answer:
A line parallel to 3x+4y=12 must have a slope of -34