Answer:
Step-by-step explanation:
if x= -2, f(x)= -8
x= -1, y= -1
x=0, y=0
the volume of cylinder is 448 pie cm cube and height 7 cm find its radius
Answer:
[tex]r =\bf 8 \space\ cm[/tex]
Step-by-step explanation:
The formula for volume of a cylinder is as follows:
[tex]\boxed{Volume = \pi r^2 h}[/tex]
where:
• r = radius (? cm)
• h = height (7 cm).
Substituting the values into the formula:
[tex]448 \pi = \pi \times r^2 \times 7[/tex]
Now solve for [tex]r[/tex]:
⇒ [tex]r^2 = \frac{448 \pi }{\pi \times 7}[/tex]
⇒ [tex]r = \sqrt{64}[/tex]
⇒ [tex]r =\bf 8 \space\ cm[/tex]
[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]
Given:
[tex]\longrightarrow\bold{Volume= 449 \pi cm^3}[/tex][tex]\longrightarrow\bold{Height= 7cm}[/tex][tex]\longrightarrow\sf{V= \pi r^2 h}[/tex]
[tex]\longrightarrow\sf{448 \pi= \pi r^2 \cdot 7}[/tex]
[tex]\longrightarrow\sf{448=
7r^2}[/tex]
[tex]\longrightarrow\sf{r^2= \dfrac{448}{7} }[/tex]
[tex]\longrightarrow\sf{r^2=64}[/tex]
[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]
[tex]\longrightarrow\sf{r= 8cm}[/tex]
5. The grid shows how many eggs Ms. Benton bought.
The shaded boxes represent the number of eggs she
used to make the cookies. What percent and fraction
of the eggs bought were not used to make the cookies?
Show your work in the space below. Remember to
check your solution.
Answer:
You can count how many boxes that are not shaded to find how many eggs were not used, but that's to find out the fraction
Step-by-step explanation:
Count the boxes total in the grid. then count the number of boxes were not shaded. the number of total boxes is your denominator, and the number of boxes thar aren't shaded is your numerator.
I think...
The population of a country was increased in the past 4 years. The annual presentage increases are 20%,25%,30%,10% respectively.What the overall percentage increase in these 4years?
The answer is 114.5%.
Let the original population be denoted by x.
Now, let's go through the percentage increase per year.
Year 1
x (1 + 20%)x (1.2)1.2xYear 2
1.2x (1 + 25%)1.2x (1.25)1.5xYear 3
1.5x (1 + 30%)1.5x (1.3)1.95xYear 4
1.95x (1 + 10%)1.95x (1.1)2.145xOverall increase : 214.5% - 100% = 114.5%
Hence, the overall percentage increase in these 4 years is 114.5%.
In order to play at the Mt. Guinea Country Miniature Golf Club, a player has to pay the membership fee and pay for each round played. The total
cost is represented by the function
T-44.09r+12.70, where T the total cost (in dollars) and r= the number of rounds played.
Which of the following statements must be true?
What is the exponential function that best models the number of gnats the scientists have
gathered after the number of hours listed in the table below?
Answer:
(b) f(x) = 12.5(1.6^x)
Step-by-step explanation:
An exponential model is generally of the form ...
f(x) = a·b^x
where 'a' is the initial value (for x=0), and 'b' is the growth factor, the multiplier when x increases by 1.
Growth factorThe ratio of the f(x) values for x=0 and x=1 is 20/12 ≈ 1.67. A number close to this will be the growth factor in the exponential function. There is only one answer choice showing a growth factor near 1.6. (Eliminates choices A, C, D.)
An exponential regression model can be produced by many graphing calculators and spreadsheets. The attachment shows a model that has the values matching choice B.
Ben, Rob, Kelly, Carla and Manu organised a pizza party for their business group, They ordered one vegetarian, one cheese, and one Nutella pizza. After the party, three-fourths of vegetarian pizza, five-eights of cheese pizza, and 11/12 of
Nutella pizza are remaining. Once all guests left, they decided to split the pizza equally among themselves, what
fraction of the whole pizza does each person get?
Answer:
11/24 ths each
Step-by-step explanation:
Add the portions left...then divide by the five of them
3/4 + 5/8 + 11/12 = ? must find common denominator (24) and convert
(18 + 15+22) / 24 = 55/24 now divide by 5 (which is the same as mult by 1/5)
55/24 * 1/5 = 55/120 now simplify to 11/24
Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to tariqareesha2, tysm for the help!
Please help answer my questions like these I have many more quick algebra 1 questions that are all due in 2 days so it would be much appreciated if you check them out. Once again, tysm!
The line is parallel to y axis
We know that if a line is parallel to y axis
slope=tan90=undefinedSo there is no slope
Here it has constant x value as -2
So the equation is
x=-2Option A
Answer:
x = -2
Step-by-step explanation:
The line is crossing the x-axis at -2, The graph is attached
Since it is identical to the graph given in the problem, x=-2 is the correct answer
f(x) = 8x2 – 2x + 3
g(x) = 12x2 + 4x – 3
What is h(x) = f(x) – g(x)?
Answer: [tex]h(\text{x}) = -4\text{x}^2 - 6\text{x} + 6[/tex]
Work Shown:
[tex]h(\text{x}) = f(\text{x}) - g(\text{x})\\\\h(\text{x}) = ( 8\text{x}^2 - 2\text{x} + 3) - ( 12\text{x}^2 + 4\text{x} - 3 )\\\\h(\text{x}) = 8\text{x}^2 - 2\text{x} + 3 - 12\text{x}^2 - 4\text{x} + 3 \\\\h(\text{x}) = (8\text{x}^2-12\text{x}^2) + (- 2\text{x} - 4\text{x}) + (3 + 3) \\\\h(\text{x}) = -4\text{x}^2 - 6\text{x} + 6 \\\\[/tex]
Identify the area of the kite.
Answer: А=480.
Step-by-step explanation:
show that xcosec^2x = cotx - d/dx xcotx
The given equation, x.cosec²x = cot x - d/dx x.cot x, is proved using the product rule of differentials.
In the question, we are asked to show that x.cosec²x = cot x - d/dx x.cot x.
To prove, we go by the right-hand side of the equation:
cot x - d/dx x.cot x.
We solve the differential d/dx using the product rule, according to which, d/dx uv = u. d/dx(v) + v. d/dx(u), where u and v are functions of x.
cot x - {x. d/dx(cot x) + cot x. d/dx(x)}
= cot x - {x. (-cosec²x) + cot x} {Since, d/dx(cot x) = -cosec²x, and d/dx(x) = 1}
= cot x + x. cosec²x - cot x
= x. cosec²x
= The left-hand side of the equation.
Thus, the given equation, x.cosec²x = cot x - d/dx x.cot x, is proved using the product rule of differentials.
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solve the following system {y=x^2-3 and {y=3x-3 graphically and algebraicallyPLEASE HELP ME IM BEGGING
Answer:
There are two solutions:
x = 0, y = -3 Point (0, -3)
x = 3, y = -6 Point (3, 6)
The solutions are at the intersections of the two individual graphs corresponding to each of the two equations (see attached figure)
Step-by-step explanation:
Use a graphing calculator or tool to plot each equation. The point of intersection of the two is the solution to the system of equations. See attached image
Algebraically
The first equation must be equal to the second equation for a unique value of y and x
[tex]y = x^2 - 3 = 3x -3\\x^2 - 3 = 3x - 3[/tex]
Subtract 3x - 3 from both sides giving
[tex]x^2 - 3 - (3x -3) = 0\\x^2 -3 -3x + 3 = 0\\x^2 - 3x = 0\\[/tex]
Factoring out x we get
[tex]x(x-3) = 0[/tex]
This means that x = 0 and also
x -3 = 0, or x = 3
Substituting for x = 0 in y = 3x-3 gives
y = 3.0 - 3 = -3
So x= 0, y = -3 is one solution (0,-3)
Substituting for x = 3 in the same equation gives
y = 3(3) - 3 = 6
So x = 3, y = 6 is another solution (3, 6)
Please answer correctly
Answer:
Option (1)
Step-by-step explanation:
We need a recursive formula.
Eliminate option 3.The common ratio is 2.
Eliminate options 2 and 4.So, the answer is option 1.
please help me with questions 1 and 2 (with explanations and calculation) thank you so much
Which of the following represents a function?
The image on the left represents a function. The image on the right does not as a function cannot have multiple variables for a single X quantity.
Answer: A
Step-by-step explanation:
a function is the relation between the independent variable (x) and the dependent variable (y)the defining characteristics which differentiates a function from a relation is its input and output valuesa function can only have single input value that corresponds to a single output value, or an x value can only lead to one possible y value Option A Coordinates[tex](-5,3)\\(-3, 1)\\(-1,-1)\\(1, -1)\\(3, 1)\\(5, 3)[/tex]
each x value only leads to one possible y valuetherefore, option A is a functionWhen a weed solution is added to a lawn, the number of weeds can be represented by the function W(d)=1650(.85)d where d is the number of days since application. By what percent does the population of weeds decrease each day?
By 15% percent does the population of weeds decrease each day given that the function representing the number of weeds is W(d)=1650(0.85)^d. This can be obtained by using the function representing the exponential decay.
Find percent by which the population of weeds decrease each day:Number of weeds is represented by the function,
W(d)=1650(0.85)^d
⇒ W(d)=1650(1 - 0.15)^d
Here, d = number of days since application
Function representing the exponential decay is,
⇒ A(r) = A(1 - r)^t
where,
A = Initial value
r = Percentage decay
t = duration
By comparing the given function and function representing the exponential decay,
r = 0.15 ≈ 15/100
Or r = 15%
Therefore, population of weeds will decrease 15% each day.
Hence by 15% percent does the population of weeds decrease each day given that the function representing the number of weeds is W(d)=1650(0.85)^d.
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Jason left a bin outside in his garden to collect rainwater. he notices that 1 over 5 gallon of water fills 2 over 3 of the bin. write and solve an expression to find the amount of water that will fill the entire bin
The amount of water that will serve the entire container exists 3/10 gallons.
What is an expression?An expression exists a sentence with a minimum of two numbers or
variables and at least one math function.
Given: 1 over 5 gallons of water serve 2 over 3 of the container.
(1/5) gallon / (2/3) container = x gallons / 1 container
cross-multiplying the above equation, we get
1/5 = (2/3)x
multiply both sides by the reciprocal of 2/3 = 3/2
(3/2) (1/5) = x = 3/10 gallons serve the total container
Each 1/10 of a gallon serve 1/3 of the container
So 3(1/10) gallons serve 3(1/3)bins
3/10 gallons serve a whole container.
The amount of water that will serve the entire bin container exists 3/10 gallons.
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Some randomly selected high school students were asked to name their favorite sport to watch. The table displays the distribution of results. A 2-column table with 5 rows. Column 1 is labeled sport with entries football, basketball, baseball, soccer, none. Column 2 is labeled probability with entries 0.23, 0.18, 0.26, 0.17, 0.16. What is the probability that a student chose football given that they like watching sports? 0.16 0.23 0.27 0.77
The probability that a student chose football given that they like watching sports is: c. 0.27.
Conditional ProbabilityUsing this formula
P[Like (Football)/Like (Sport)]
Where:
P=Probability
Like (Football)=0.23
Like (Sport)=0.23+0.18+0.26+0.17=0.84
Let plug in the formula
P[Like (Football)/Like (Sport)]=0.23/0.84
P[Like (Football)/Like (Sport)]=0.27
Therefore the probability that a student chose football given that they like watching sports is: c. 0.27.
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Answer:
C.
Step-by-step explanation:
The grocery store where Ms. Maple works pays her $6.50 per hour. Any time she works more than 40 hours per week, she is paid time and a half for the additional hours. Her weekly pay, w, is found using the following equation, where h is the total number of hours worked.
Answer:
$279.25
Step-by-step explanation:
Multiply 6.50x43
[tex]w = 279.50 + (0.5 \times 6.50) \times (43 - 40)[/tex]
Multiply 0.5x6.50
[tex]w = 279.50 + 3.250 \times (43 - 40)[/tex]
Add 43-40
[tex]w = 279.50 + 3.250 \times 3[/tex]
Multiply 3.250x3
[tex]w = 279.50+ 9.750[/tex]
Solution
Find the value of x. A. 80 B. 110 C. 100 D. 40
Answer:
110 degrees
Step-by-step explanation:
to find the angle x, we need to use the formula to find the 50 degree angle:
(y - x) / 2 = 50
y is 210
(210 - x) /2 = 50
210-x = 100
x = 110 degrees
PLEASE HELP The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 1, 3 and 3, 13, and g of x passes through negative 1, 3 and 1, 13.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
The transformation of f(x) to g(x) would be 6 units upwards
To transform f(x) to g(x), the equation is; g(x) = f(x) + 6
How to solve transformation problems?We are told that f of x passes through 1, 3 and 3, 13, and g of x passes through negative 1, 3 and 1, 13.
f(x) passes through (1,3) and (3, 13).
Thus;
slope is; m = (13 - 3) / (3 - 1) = 10/2 = 5
y-intercept is; b = y - mx
Thus;
b = 3 - 5*1 = -2
Equation of the line is;
f(x) = 5x - 2
g of x passes through negative 1, 3 and 1, 13. Thus, the slope is;
m = (13 - 3) / (1 + 1) = 10/2 = 5
y-intercept is; b = y - mx
Thus;
b = -1 - (5)(-1)
b = 4
Equation of the line is; g(x) = 5x + 4
part A: The transformation of f(x) to g(x) would be 6 units upwards
part B: k = 6
part C: To transform f(x) to g(x), the equation is;
g(x) = f(x) + k
g(x) = f(x) + 6
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If two solids are similar and have a linear ratio of 2:5, what is the ratio of the areas?
Answer:
4 : 25
Step-by-step explanation:
given 2 similar figures with linear ratio a : b , then
ratio of areas = a² : b²
here the linear ratio = 2 : 5 , then
area ratio = 2² : 5² = 4 : 25
35 Points + Brainest
Answer:
5/12a + 1/3b
Step-by-step explanation:
2/3a + 1/6b + (-1/6a) + 3/18b + (-1/12a)
[2/3a + (-1/6a) + (-1/12a)] + [3/18b + 1/6b]
5/12a + 1/3b
Quick algebra 1 assignment for some points!
I LOST MY OLD ACCOUNT I WAS A GENIUS, :((( SO NOW I GOTTA MAKE A NEW ONE !!! :((
Only answer if you know the answer, quick shout-out to Yeony2202, tysm for the help!
Oh by the way this is just a section of the real assignment, the assignment calls for you to make an app that people can play to learn inverse variation & direct variation and stuff.
Hope that helps solve this! :)
Inverse variation is the relationship that occurs between two quantities in which one decreases as the other increases.
Inverse variationThe types of variation which exists are;
Inverse variationDirect variationJoint variationFor instance;
The relationship between John's speed and distance is inversely proportional. If John's speed is 5km/h, his distance is 6km. Find John's distance when his speed increases to 6km/h.
s = k / d
where,
k = constant of proportionality
s = k / d
5 = k/6
30 = k
Find d when s = 6km/hs = k / d
6 = 30/d
6d = 30
d = 30/6
d = 5 km
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(a)Find two consecutive odd integers such that the sum of the smallest integer and twice the greater integer is 85.
(b) The sum of three integer is 40.The second integer is three times the first and the third integer exceeds the second by 5.Find the three integers.
Answer:
see explanation
Step-by-step explanation:
(a)
let the two consecutive odd integers ne n and n + 2 , then
n + 2(n + 2) = 85
n + 2n + 4 = 85
3n + 4 = 85 ( subtract 4 from both sides )
3n = 81 ( divide both sides by 3 )
n = 27
n + 2 = 27 + 2 = 29
the 2 consecutive odd integers are 27 and 29
--------------------------------------------------------------------
(b)
let the first integer be n , then 2nd integer is 3n and 3rd is 3n + 5 , so
n + 3n + 3n + 5 = 40
7n + 5 = 40 ( subtract 5 from both sides )
7n = 35 ( divide both sides by 7 )
n = 5
3n = 3 × 5 = 15
3n + 5 = 15 + 5 = 20
the 3 integers are 5, 15, 20
quien me hace una canción de ley de los cosenos de C por favor le doy 100 estrellas y corona
Answer:
..........................................
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Select the correct answer. What is the value of the limit ? lim x 5 square x^2 +4
By direct evaluation, we will see that the limit is equal to 29.
How to find the limit?Here we want to find the limit of the given expression when x tends to 5.
[tex]\lim_{x \to \ 5} x^2 + 4[/tex]
We can directly evaluate the expression in x = 5 and see if we get a real value different than zero.
By direct evaluation, we get:
[tex]\lim_{x \to \ 5} x^2 + 4 = 5^2+ 4 = 29[/tex]
Notice that the limit does give a whole number, then in this way, we conclude that the limit of the given expression when x tends to 5 is equal to 29.
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Answer:
square 29
Step-by-step explanation:
Identify the 7th term of the geometric sequence in which a2 = 324 and a4 = 36.
Answer:
a7=4/3 or a7=-4/3
Step-by-step explanation:
using the geometric sequences formula
an=ar^n-1
a2=ar
a4=ar³
when a2=324 and a4=36
324=ar...........(1)
36=ar³............(2)
from equation (1) a=324/r substitute in equation (2)
we have :
36=324/r *r³
36=324r²
r²=36/324
r²=1/9
r=±1/3
substitute when r=±1/3 in (1)
324=a(±1/3)
a=±972
so the 7th term is
when r=±1/3
we have
a7=ar^6
a7=±972(±1/3)^6
a7=972/729
a7=4/3 or a7=-4/3
Solve eight and three fifths minus two and four ninths.
Answer:
6.15555555556
Step-by-step explanation:
the 5 is infinite in 6.15 such as 6.155555555 it does not stop
a
a
¹2-5, find £r(:)
=
En
n=l
n=1
b
Given that Σ
[tex]\sum^{\infty}_{n=1} (a/b)^n=5 \\ \\ =\frac{a/b}{1-\frac{a}{b}}=5 \\ \\ \frac{a}{b-a} =5 \\ \\ \frac{a}{b}=\frac{5}{6}[/tex]
So, we need to find
[tex]\sum^{\infty}_{n=1} n(5/6)^n
[/tex]
Let this sum be S.
Then,
[tex]S=(5/6)+2(5/6)^2 +3(5/6)^3+\cdots \\ \\ \frac{5}{6}S=(5/6)^2 + 2(5/6)^3+\cdots \\ \\ \implies \frac{1}{6}S=(5/6)+(5/6)^2+(5/6)^3+\cdots=5 \\ \\ \implies S=\boxed{30}[/tex]
