Given:
Amount of calories per 117.4 grams of Cereal X
= 110 or 0.620068 per 1 gram of cereal X
Solution:
If there are 252.5 grams of cereal X then the amount of calories in it is computed as
0.620068 X 252.5
156.5671 or 157 (rounded off)
5 hundreds 6 ten thousands 2 ones
perform the following conversions convert 5.0 cm to m
To convert 5.0 cm to m, use the conversion factor of 1 m = 100 cm to get the result of 0.05 m.
Convert 5.0 cm to m:
1 m = 100 cm, which means 1 cm is 0.01 m.
Therefore, 5.0 cm is equal to 5.0 x 0.01 m = 0.05 m.
Loretta deposited $429 in a new savings account at Henry County Bank and Trust. She made no other deposits or withdrawals. After 6 months, the interest was computed at an annual rate of 6 .25%. How much simple interest did her money earn?
at a point P on the parabola x^2=4ay a normal PK is drawn. From vertex O, a perpendicular OM is drawn to meet the normal at M. Show that the equation of the locus of M as P varies on the parabola is x^4-2ax^2y+x^2y^2-ay^3=0
What was the most direct effect of the establishment of the Queen’s Men?
a. New plays were written every year.
b. The queen visited Whitehall Palace.
c. The Puritans were outraged.
d. Drama received royal approval.
Answer:
C) The Puritans were outraged.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
trust
Approximately how many times greater is 4×107 than 8×103 ?
A.0.5
B.500
C.5000
D.50,000
40000000
8000
40000000 / 8000 = 5000
Answer is C. 5000
gary father dropped him off soccer practice at2:45 pm .his mom picked him up at 5:00 pm.how long did soccer practice last
Please help me, it's due tomorrow and I haven't gotten any sleep!!!! ); ); );
Please help???
Which of the following equations represents the graph shown?
A) f(x)=-x+2
B) f(x)=-x-2
C) f(x)=x+2
Okay it's not C, it's wrong
Answer:
the answer is f(x) = -x + 2
Step-by-step explanation:
because i got it right
what inequality represents "a cat weighs no more than 8 pounds"
Final answer:
The inequality representing "a cat weighs no more than 8 pounds" is expressed as w ≤ 8, where w symbolizes the cat's weight in pounds. This concept illustrates how inequality symbols are applied in algebra to represent the relationship between quantities, applicable in various real-world scenarios.
Explanation:
The question asks which inequality represents "a cat weighs no more than 8 pounds." In mathematical terms, this statement can be translated using an inequality symbol that indicates the cat's weight is either equal to or less than 8 pounds. The appropriate symbol for this is “≤”, which stands for “less than or equal to.” Therefore, the inequality that represents this statement is w ≤ 8, where w represents the weight of the cat in pounds.
Using inequality symbols to show how two metric measurements are related is a foundational concept in algebra, and it is crucial when working with real-world scenarios where quantities have upper or lower bounds. For instance, understanding this concept can apply to various situations such as determining the weight of a dog, or comparing soda in a can to ensure it does not exceed a certain weight limit. It's important to grasp how these symbols convey relationships between quantities.
addition or subtraction of unit fractions 1/2-1/8=
suppose each bag costs $14.99. estimate the total cost of 5 bags
The cost of producing x pumpkin pies at a small bakery is given by c(x)=49+1.75x. Find the cost of producing 25 pies A. $74.00 B.$81.50 C.$92.75 D.$108.25
A function is defined as a relation between a set of inputs having one output each.
Input = 25 and output = $92.75
The cost of 25 pies is $92.75
What is a function?A function is defined as a relation between a set of inputs having one output each.
The inputs are called the domain of the function.
The outputs are called the range of the function.
Example: f(x) = 2 + 3x
x = 1
f(1) = 2 + 3x1 = 2 + 3 = 5
1 = Domain
5 = Range
We have,
c(x) = 49 + 1.75x
x = number of pies
The cost of producing 25 pies:
c(25) = 49 + 1.75 x 25
= 49 + 43.75
= $92.75
Thus the cost of 25 pies is $92.75
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Use the chinese remainder theorem to solve the systems of congruences:
a. find x mod 77 if x ≡ 2 (mod 7) and x ≡ 4 (mod 11).
b. x ≡ 2 (mod 3), x ≡ 3 (mod 4), x ≡ 1 (mod 5).
what is the value of 6 in 89.6
Use cylindrical coordinates to evaluate the integral where d is the solid bounded above by the plane z=2 and below by the surface 2z=x2+y2
Answer:
[tex]\displaystyle \iiint_D {z \big( x^2 + y^2 \big)^\big{\frac{-1}{2}}} \, dx \, dy \, dz = \frac{32 \pi}{5}[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Multivariable Calculus
Cylindrical Coordinate Conversions:
[tex]\displaystyle x = r \cos \theta[/tex][tex]\displaystyle y = r \sin \theta[/tex][tex]\displaystyle z = z[/tex][tex]\displaystyle r^2 = x^2 + y^2[/tex][tex]\displaystyle \tan \theta = \frac{y}{x}[/tex]Volume Formula [Cylindrical Coordinates]:
[tex]\displaystyle V = \iiint_T \, dV \rightarrow V = \iiint_T {r} \, dz \, dr \, d\theta[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \text{Region} \ D \left \{ {{2z = x^2 + y^2} \atop {z = 2}} \right.[/tex]
[tex]\displaystyle \iiint_D {z \big( x^2 + y^2 \big)^\big{\frac{-1}{2}}} \, dx \, dy \, dz[/tex]
Step 2: Find Volume Pt. 1
Find θ bound.
[Surface] Substitute in plane z:Find r bound.
[Surface] Substitute in plane z:Find z bound.
[Surface] Substitute in cylindrical conversions:Step 3: Find Volume Pt. 2
[Integrals] Substitute in cylindrical conversions:∴ the integral bound by region D is equal to [tex]\displaystyle \bold{\frac{32 \pi}{5}}[/tex].
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Topic: Multivariable Calculus
Unit: Triple Integrals Applications
sin pi/4 sin pi/6= 1/2(_____ pi/12-cos 5pi/12)
Answer:
[tex] sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{1}{2}(cos\frac{\pi}{12}-cos\frac{5\pi}{12})[/tex]
Step-by-step explanation:
We are given that
[tex] sin\frac{\pi}{4} sin\frac{\pi}{6}[/tex]
We have to correct value in blank space.
We know that identity
[tex] sin xsiny=\frac{cos(x-y)-cos(x+y)}{2}[/tex]
Using this identity
[tex] sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{cos(\frac{\pi}{4}-\frac{\pi}{6})-cos(\frac{\pi}{4}+\frac{\pi}{6})}{2}[/tex]
[tex] sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{cos(\frac{3\pi-2\pi}{12}-cos(\frac{3\pi+2\pi}{12})}{2}[/tex]
[tex] sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{1}{2}(cos\frac{\pi}{12}-cos\frac{5\pi}{12})[/tex]
Answer:[tex] sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{1}{2}(cos\frac{\pi}{12}-cos\frac{5\pi}{12})[/tex]
Is the ratio 35 to 10 proportional to the ratio 7 to 5? Explain.
Uncle drew scored 28 pionts in 5 5\6 minutes how many points did he average
Which of the numbers below correctly describes 5,000 µf?
The number 5,000 µF represents a capacitance, indicating that the capacitor can store 5,000 microcoulombs of electric charge at an electric potential difference of 1 volt.
Explanation:The number 5,000 µF describes a capacitance. Capacitance is a measure of a capacitor's ability to store an electric charge. It can be defined as the ratio of the change in an electric charge in a system to the corresponding change in its electric potential. So, when we say a capacitor has a capacitance of 5,000 µF (microfarads), it means the capacitor can store 5,000 micro coulombs of electric charge at an electric potential difference of 1 volt. It's important to know that the typical range of capacitors can vary from fractions of a picofarad (pF) to a milifarad (mF).
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Which shows the correct simplification of product of powers?
1.) 78 · 7-4 = 78· (–4) = 7–32
2.)78 · 7–4 = 78 ÷ (–4) = 7–2
3.)78 · 7–4 = 78 + (–4) = 74
4.)78 · 7–4 = 78 - (–4) = 712
The answer choice which shows the correct simplification of product of powers is:
78 · 7–4 = 78 + (–4) = 74What is Product of Powers?This refers to the mathematical property which states that when there is a multiplication of two powers that have the same base, then there would be the addition of exponents.
From the given choices, we can see that the powers are not given, so we can solve using inference.
This posits that (7^8) * (7^-4) was the product that was intended to be simplified and this law shows:
(A^m) * (A^n) = A^ (m+n)Hence, if we add the powers, then the correct answer would be option C because they are of the same base.
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At 1pm, there was 16 seagulls on the beach. At 3pm, there were 60 seagulls. What is the constant rate of change
x2 + y2 – 10x + 6y = 15.
Students can take MATH 080 between one and four times. The student's tuition for MATH 080 is $ 548.00 If the tuition is increased 6% AFTER 2 ATTEMPTS, what is the student's one semester tuition after the 2nd attempt? In this situation what is the total tuition for taking MATH 080 the allowed four times
Identify the phrase that cannot be described by the same absolute value as the other three. Explain your reasoning.
how to solve 4+2 - 5/6 - 1/2
A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the value?
$9,765.45
$10,876.90
$12,359.55
$14,345.48
$15,745.45
Final answer:
To find the value of the car, divide the amount of state taxes paid by the tax rate percentage. The value of the car is $12,359.55.
Explanation:
To find the value of the car, we need to divide the amount of state taxes paid by the tax rate percentage. In this case, the state taxes paid is $1,100 and the tax rate is 8.9%.
So, the value of the car can be calculated as follows:
Value of the car = State taxes paid / Tax rate percentage
= $1,100 / 0.089
= $12,359.55
Therefore, the value of the car is $12,359.55
Select from the drop-down menu to correctly identify the property shown.
(−5.2+ (−8.4)) + (−2.8) = −(5.2 + 8.4) + (−2.8)
Associative property
Commutative property
Opposite of sum property
Sara can type 90 words in 4 minutes about how many words would you expect her to type in 10 minutes at this rate
Answer:
C. 225 words
Step-by-step explanation:
90 / 4 = 22.5
22.5 x 10 = 225 words
Carly is making 3 1/2 batches of biscuits. If one batch calls for 2 1/3 cups of floor, how much flour will she need?