Answer:
y = 12 + c
Step-by-step explanation:
Well, let's begin with what you're given, and that is that there are 12 clear ones, and there is a number of colored ones which succeeds that, which is represented by the variable c. So, we can use the equation:
y = 12 + c
To show the amount of colored ones that Vicky has in her collection, with y = number of colored crystals.
12. Ben and Jerry invest $50 000 and $75 000 respectively in the same bank.
If the rate is 8%, how many whole years will it take for Ben to cross the amount of money that Jerry would have in 2 years?
Combine like terms to simplify the expression:
12x-3(3x-5)+24
Answer:
3(x+13)
Step-by-step explanation:
use the distributive property to multiply -3 by
3x -5
12x -9x + 15 + 24
then
combine 12x and -9x to get 3
add 15 + 24 to get 39
Solve −3 = x/4 + 5 using the replacement set {−32, 8, 32} .
A. −32
B. 8
C. 32
D. I don't know.
Answer:
A
Step-by-step explanation:
substitute the values from the replacement set into the right side of the equation to find which values of x make the equation true.
x = - 32
[tex]\frac{-32}{4}[/tex] + 5 = - 8 + 5 = - 3 ← True
x = 8
[tex]\frac{8}{4}[/tex] + 5 = 1 + 5 = 6 ≠ - 3 ← False
x = 32
[tex]\frac{32}{4}[/tex] + 5 = 8 + 5 = 13 ≠ - 3 ← False
the solution is therefore x = - 32
Write a polynomial equation with integer coefficients that has the given roots.
x = -1 x=-6
Polynomial equation with integer coefficients that has roots x= -1 and
x = -6 is equal to x² +7x +6=0.
As given in the question,
Given roots for the polynomial equation with integer coefficient are
x = -1 ⇒ x + 1=0
x = -6 ⇒ x + 6 =0
Polynomial equation is
( x + 1) ( x + 6) =0
⇒ x² + 1x + 6x + 6 =0
⇒ x² + 7x + 6 =0
Therefore, polynomial equation with integer coefficients that has roots x= -1 and x = -6 is equal to x² +7x +6=0.
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In A PQR, QT is
an altitude...QT=
(1) 10
(3) 4
(2) 8
(4) 6
Answer:
20 psectacles and scranbled
Convert the following quantities to the indicated units.
24 grams per cubic centimeter to how many pounds per cubic inch?
24 grams per cubic centimeters equals 0.867 pounds per cubic inches
How to convert the quantities to the indicated units?The quantity (x) is given as:
x = 24 grams per cubic centimeters
1 gram equals 0.00220462 pounds
So, we have:
x = 24 * 0.00220462 pounds per cubic centimeters
Evaluate
x = 0.05291088 pounds per cubic centimeters
1 cubic centimeters equals 0.0610237 cubic inches
So, we have
x = 0.05291088 pounds per 0.0610237 cubic inches
Rewrite as
x = 0.05291088/0.0610237 pounds per cubic inches
Evaluate
x =0.867 pounds per cubic inches
Hence, 24 grams per cubic centimeters equals 0.867 pounds per cubic inches
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The sum of
5
9
and six times a number is equal to
2
subtracted from seven times the number. Find the number.
ANSWER:
x=61
STEPS FOR SOLVING LINEAR EQUATION :
59+6x=7x−2Subtract 7x from both sides.
59+6x−7x=−2Combine 6x and −7x to get −x.
59−x=−2Subtract 59 from both sides.
−x=−2−59Subtract 59 from −2 to get −61.
−x=−61Multiply both sides by −1.
x=61Hope it helps!!!
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Answer:
answer to the question is x=61
help i need help i this please
Answer:
-∞ and -∞ both answers
Step-by-step explanation:
From the graph it is clear that as x becomes smaller and smaller, y gets smaller and smaller. So as x → -∞, y → -∞
On the positive x side, as x gets bigger and bigger, y gets smaller and smaller so
as x → +∞, y → -∞
Does anyone know where the a in front of the parentheses for the LCD : a(a+5)(a-6) came from?
Thank you!
Answer:
See below
Step-by-step explanation:
If you factor [tex]a^2-a-30[/tex] you get [tex]\left(a^2+5a\right)+\left(-6a-30\right)[/tex]
= [tex]a(a+5)-6(a+5)[/tex]
= [tex]a(a+5)(a-6)[/tex]
That's where the a comes in
Not sure if that answers your question
if you add all the prime numbers between 2 and 33 and then multiply it by itself y
Answer:
24964
Step-by-step explanation:
hope this works - btw this is not including 2 and 33
Explain how to do -12 - (-98) + 7 - 3
Lucy paid $120 for an item at the store that was 20 percent off the original price. what was the original price?
Answer:
$150
Step-by-step explanation:
Given the following question:
Lucy paid 120 dollars for an item
The item was 20% off
What was the original price? To find the original price we will need to use the formula to calculate percentages.
20% of 150
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times150}{100}[/tex]
[tex]20\times150=3000[/tex]
[tex]3000\div100=30[/tex]
[tex]150-30=120[/tex]
[tex]=120[/tex]
Which means our original price is "$150."
Hope this helps.
What would happen to a cell if the transport of materials across its membrane could not take place
If our cells couldn't control what crossed their membranes, either no molecules would make it across, or they'd be travelling willy-nilly and the internal environment would always be in flux.
A survey of 541 adults aged 18-24 year olds was conducted in which they
were asked what they did last Friday night. It found:
181 watched TV
• 180 hung out with friends
• 150 ate pizza
• 46 watched TV and ate pizza, but did not hang out with friends
• 36 watched TV and hung out with friends, but did not eat pizza
• 29 hung out with friends and ate pizza, but did not watch TV
• 25 watched TV, hung out with friends, and ate pizza
How may 18-24 year olds did not do any of these three activities last Friday
Answer: 30
Step-by-step explanation:
181+180+150=
361+150=511
541-511=30 18-24 year olds
**46 of 181 students that watched TV ate pizza and the same 46 students of the 150 students that ate pizza watched TV.
Homework 4.3 Partial Derivatives
If Partial Derivatives f(x,y) -8e^4x sin(7y) is 32 e^(4 x) sin(7 y) and
56 e^(4 x) cos(7 y)
Partial Derivatives
d/dx(8 e^(4 x) sin(7 y))
Factor out constants:
= 8 (d/dx(e^(4 x))) sin(7 y)
Using the chain rule, d/dx(e^(4 x)) = (d e^u)/(du) (du)/(dx), where u = 4 x and d/(du) (e^u) = e^u:
= e^(4 x) (d/dx(4 x)) 8 sin(7 y)
Factor out constants:
= 4 (d/dx(x)) 8 e^(4 x) sin(7 y)
Simplify the expression:
= 32 e^(4 x) (d/dx(x)) sin(7 y)
The derivative of x is 1:
= 32 e^(4 x) sin(7 y)
Simplify the expression:
32 e^(4 x) sin(7 y)
Part 2:
Partial Derivatives
d/dy(8 e^(4 x) sin(7 y))
Factor out constants:
= 8 e^(4 x) (d/dy(sin(7 y)))
Using the chain rule, d/dy(sin(7 y)) = (dsin(u))/(du). (du)/(dy), where u = 7 y and d/(du) (sin(u)) = cos(u):
= cos(7 y) (d/dy(7 y)) 8 e^(4 x)
Factor out constants:
= 7 (d/dy(y)) 8 e^(4 x) cos(7 y)
Simplify the expression:
= 56 e^(4 x) cos(7 y) (d/dy(y))
The derivative of y is 1:
= 56 e^(4 x) cos(7 y)
Simplify the expression:
56 e^(4 x) cos(7 y)
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convert into power notation (-2197)
MAYA WALKED 34 1/2 MILES . KALEB WALKED 24 1/2 MILES. HOW MANY MILES WS WALKED IN TOTAL
Answer:
Two halves make a whole
34 + 24 + (1/2 + 1/2)
34 + 24 + 1
Which measurement is closest to 270 cm: 9ft, 680in. or 270 in.?
The measurement 9 feet is closest to 270 centimeters.
What measure is equivalent to another measure?
In this problem we have a case of unit conversions, in which we must find what measure in a unit offers the best approximation to other represented in other unit. Please notice that a centimeter equals 25 / 762 feet and 50 / 127 inches. Now we proceed to calculate the equivalent quantities in feet and inches by simple rule of three:
x = 270 cm × (25 / 762 feet / cm)
x ≈ 8.858 feet
x = 270 cm × (50 / 127 inches / cm)
x ≈ 106.299 inches
The measurement 9 feet is closest to 270 centimeters.
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The speed of the wind, w, is at most 56 miles per hour. The translation is
Answer:
56mph
Step-by-step explanation:
i hope this is the answer you were looking for
find derivative from first principle:
x² tanx
Answer:
f'(x) = 2.x.tan(x) + x²/cos²(x)
Step-by-step explanation:
f(x) = x².tan(x)
=> f'(x) = (x²)' . tan(x) + x². (tan(x))'
= 2x.tan(x) + x² . 1/cos²(x)
=> f'(x) = 2.x.tan(x) + x²/cos²(x)
The study of Euclidean geometry has led to the development and acceptance
of other non-Euclidean types of geometry.
A. True
B. False
Answer:
True
Step-by-step explanation:
PLEASE HELPb) Darragh is inflating a balloon in the shape of a sphere. When fully inflated, the balloon has a radius of 15 cm. (i) Find the volume of Darragh's balloon when it is fully inflated. Give your answer in cm³, in terms of it.
solutions pls
We need to know the formula for volume of a sphere to solve this question.The volume of Darragh's balloon when it is fully inflated is 3532.5[tex]cm^{3}[/tex]
A sphere can be called a circle in 3D, for example a ball is a sphere. There can be solid spheres and hollow spheres, a balloon is a hollow sphere because it has air inside it. The volume of a sphere can be calculated irrespective of it being a solid or a hollow sphere. The volume of a sphere is the capacity the sphere has, incase of a balloon the volume of a balloon means it's capacity to hold air in it. The formula for volume of a sphere is
V=[tex]\frac{1}{3}[/tex]π[tex]r^{3}[/tex] where V is the volume, r is the radius of the sphere
In the question it is given that radius of the sphere when fully inflated is 15cm
V=[tex]\frac{1}{3}[/tex]×3.14×15×15×15=3532.5 [tex]cm^{3}[/tex]
Therefore we found the volume of the balloon when fully inflated to be 3532.5[tex]cm^{3}[/tex].
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a map has a scale of 1:1000.
i)
What distance on the ground (in meters) is represented on the map as
(a) 2cm (b) 7.6cm?
ii)
What distance on the map represents
(a) 100m (b) 2.6km?
(a) The distance on the ground represented 2 cm on the map is 2000 cm.
(b) The distance on the ground represented 7.6 cm on the map is 7600 cm
It is a technique wherever we discover worth|the worth} of one unit from the worth of multiple units and also the value of multiple units from the worth of one unitIt is given that a map has a scale of 1:1000 which means that 1 cm of the map represents 1000 cm on the ground .
i) (a) Using unitary method , we get
1 cm on map is equivalent to = 1000 cm on the ground
2 cm on map is equivalent to = 2 × 1000
= 2000 cm on the ground
(b) Using unitary method , we get
1 cm on map is equivalent to = 1000 cm on the ground
7.6 cm on map is equivalent to = 7.6 × 1000
= 7600 cm on the ground
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add 1/2 + 1/4 + 1 1/4
Answer:
Final answer is 2
Step-by-step explanation:
Amy paid $66.94 for a pair of running shoes during a 15%-off sale. What was the regular price?
...
The following expression gives an approximate value of the total average credit card debt in a U.S. household (in dollars)
t
years after 1995.
417
t
+
5850
Use this expression to predict what the total average credit card debt was or will be in the year 2014.
Answer: In the year 2014, the total average credit card debt for a U.S. household will be (or was)
dollars.
In the year 2014, the total average credit card debt for a U.S. household was 13,773 dollars.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
How to predict the total average credit card debt in 2014?In order to predict the total average credit card debt in 2014, we would determine the number of years (t) from 1995 to 2014 and then substitute the value into the given expression as follows:
Number of years, t = 2014 - 1995
Number of years, t = 19 years.
Substituting the years into the expression, we have;
Total average credit card debt = 417t + 5850
Total average credit card debt = 417(19) + 5850
Total average credit card debt = 7,923 + 5850
Total average credit card debt = $13,773.
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What is 8x99 in expression form
In expression form, 8(99) is 8 ( 100 - 1 ) = 792, by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.
Now, Given:
8 x 99
We know 99 = 100 - 1.
Thus, by basic algebra, 8 ( 99) = 8 (100 - 1)
8 ( 100 - 1) = 8(100) - 8(1)
8( 100 - 1) = 800 - 8 = 792.
Hence, In expression form, 8(99) is 8 ( 100 - 1 ) = 792, by basic algebra.
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Find the area of the shaded region. Help please!
Answer:
Around 73cm
Step-by-step explanation:
314.16 is the area of the whole circle
shaded is 85/365 (around 23 percent)
Dinesh has a goal of keeping his administrative tasks below 10% of his weekly hours. In which week(s) did he meet this goal? Be sure to show your work, list the percentages in the chart below, and answer the question. Administrative Hrs Total Hours
Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.
How are the percentages determined?The percentages of administrative tasks are computed by dividing the administrative hours worked by the total hours worked each week.
Percentages are ratios or portions of a variable in the whole number.
Data and Calculations:Administrative Hrs Total Hours Worked Admin % Goal Met?
Week 1 4.25 40 hours 10.625% No
Week 2 2.57 40 hours 6.425% Yes
Week 3 3.83 40 hours 9.575% Yes
Week 4 3.40 40 hours 8.500% Yes
Thus, Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.
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Question Completion:Administrative Hrs Total Hours Worked Admin % Goal Met?
Week 1 4.25 10 hours
Week 2 2.57 8 hours
Week 3 3.83 8 hours
Week 4 3.40 8 hours
4. Randall's monthly water bill from April to July is listed in the table below. What was the percent
increase in his bill from May to July?
The percent increase in his bill from May to July is 32.29%.
What is the percent increase in the bill?
Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.
The percent increase in his bill from May to July = (bill in July / bill in May)^(1/number of months) - 1
(136.50 / 78)^(1/2) - 1 = 32.29%
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