Answer:
answer is 282
Step-by-step explanation:
im smart
Mr. Anderson had 185 pieces of wood. He sold 25 pieces of wood to his neighbor and stacked the rest of the wood into piles around his house. Each pile of wood contained 40 pieces of wood. Which equation can be used to find p, the number of piles of wood Mr. Anderson made?
Answer:
D
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
f(x) = -2x²+28x -99 in vertex form
The expression we have is:
\(f\mleft(x\mright)=-2x^2+28x-99\)Since this is a quadratic equation, is the equation of a parabola in standard form:
\(f(x)=ax^2+bx+c\)In this case, comparing the general form and the equation we have:
\(\begin{gathered} a=-2 \\ b=28 \\ c=-99 \end{gathered}\)We will define the vertex of the parabola as (h,k). And the general vertex form is:
\(f(x)=a(x-h)^2+k\)Where h is defined as follows:
\(h=\frac{-b}{2a}\)We already know b and a, so we substitute them to find h:
\(h=\frac{-28}{2(-2)}=\frac{-28}{-4}=7\)\(h=7\)Now we only need to find k, which is defined as the value of the function when x=h:
\(k=f(h)\)So we find f(h) by substituting h=7 into the original expression:
\(\begin{gathered} f(x)=-2x^2+28x-99 \\ k=f(h)=-2(7)^2+28(7)-99 \end{gathered}\)Solving the operations to find k:
\(\begin{gathered} k=-2(49)+196-99 \\ k=-98+196-99 \\ k=-1 \end{gathered}\)Now that we have h and k, we go back to the general vertex form:
\(f(x)=a(x-h)^2+k\)And substitute a=-2, h=7 and k=-1:
\(f(x)=-2(x-7)^2-1\)Answer:
\(f(x)=-2(x-7)^2-1\)the ages of the members of a gym have a mean of 48 years and a standard deviation of 10 years. what can you conclude from chebyshev's theorem about the percentage of gym members aged between 26 and 70?
Using Chebyshev's theorem, we can conclude that at least 56% of the gym members' ages fall between 26 and 70.
Chebyshev's theorem states that for any given dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations from the mean.
We can use Chebyshev's theorem to determine the percentage of gym members aged between 26 and 70. We need to determine how many standard deviations away from the mean these ages are.
To do this, we calculate the z-scores for both ages using the formula z = \((x - μ) / σ\), where x is the value (in this case, either 26 or 70), \(μ\) is the mean (48), and σ is the standard deviation (10). For x = 26: z = (26 - 48) / 10 = -2.2 For x = 70: z = (70 - 48) / 10 = 2.2
Both ages are 2.2 standard deviations away from the mean. Using Chebyshev's theorem, we know that at least 1 - 1/2.2² = 56% of the gym members' ages fall within this range.This is a lower bound - the actual percentage of gym members aged between 26 and 70 could be higher than 56%, as the distribution of ages may not be perfectly symmetrical or may have outliers.
Learn more about Chebyshev's here:
https://brainly.com/question/28480556
#SPJ4
A set of numbers is given below.
{v/72 9.25, /83, pi 2 8.7}
Which list correctly orders the numbers from least to greatest
Answer:
Option (2)
Step-by-step explanation:
From the given set of numbers we have to arrange them in the increasing order.
{\(\sqrt{72},9.25,\sqrt{83},\pi^2,8.7\)}
Since, \(\sqrt{72}=8.49\)
\(\sqrt{83}=9.11\)
\(\pi ^2\) = 9.87
Therefore, set of numbers will be in the form of,
{8.49, 9.25, 9.11, 9.87, 8.7}
Now arranging these numbers in the increasing order,
8.49 < 8.7 < 9.11 < 9.25 < 9.87
Therefore, numbers in the increasing order will be,
{\(\sqrt{72},8.7,\sqrt{83},9.25,\pi ^{2}\)}
Option (2) will be the answer.
(Translate the sentence into an inequality)
Twice the difference of a number and 2 is at most -30
Answer:
2(x-2) ≤ -30
Step-by-step explanation:
2(twice) (x-2)( the difference of a number and 2) ≤ (is at most )-30
For the function y = 4x – 2, what is the value of the function when x is equal to -3?
Answer:
the value of y would be -14
fill the blanks please
1-The ----------- of two events A and B is the event in which either A or B or both occur.
2- Calculate 5!--------- (no I am not shouting 5. "!" is reffering to factorial)
3- Two events are said to be:
------------ if they can not occur at the same time.
------------- if the occurance of one does not influence the probabilty of occurence for the other.
The blanks can be filled as: 1) union, 2) 120, 3) Mutually exclusive, Independent.
1- The union of two events A and B is the event in which either A or B or both occur.
The union of two events A and B includes all outcomes that belong to either A or B or both.
2- Calculate 5! (5 factorial) which is 5 x 4 x 3 x 2 x 1 = 120.
To calculate factorial of a positive integer n, multiply n by all positive integers less than n and greater than 0; alternatively, recursively multiply n by (n-1)!
3. Two events are said to be:
Mutually exclusive if they cannot occur at the same time.
Independent if the occurrence of one does not influence the probability of occurrence for the other..
Mutually exclusive events cannot occur together, while independent events can occur together but their occurrence does not affect each other.
To know more about union refer here:
https://brainly.com/question/23337676#
#SPJ11
The ratio of a to b is 4/7. If a is 16, find the value of b.
Answer:
B=28
Step-by-step explanation:
I need help on this problem plz
Answer:
needddd
Step-by-step explanation:
i need help with this
Answer:
7
Step-by-step explanation:
the square root of 49 is 7
yo I need help asap would really appreciate, solve photo attached please also pls tell me how you did it
Answer:
The average rate of change is 4.
Step-by-step explanation:
Average rate of change is simply a fancy way of saying "find the slope".
So for slope, we use (y2-y1)/(x2-x1).
(3-(-13))/(2-(-2))
16/4
4
The area is square feet of a rectangular garden can be expressed as the product of the garden's length and
width, or A(x) = 2x2 - 21x + 40. If the width of the garden is (x - 8) feet, what is the length of the garden?
Answer:
(2x-5)feet
Step-by-step explanation:
The area of the rectangular garden A = Length × Width
Given the area A(x) = 2x² - 21x + 40
And the width =x-8 feet
To get the length, we will simply factorise the area function as shown;
You will just factorise the area
Factorizing 2x² - 21x+40
2x² − 21x + 40
2x² -16x - 5x + 40
2x(x - 8) -5(x - 8)
=(2x−5)(x−8)
Hence the length of the garden is
(2x-5)feet
HELP HAVING A BAD DAY!!!!!!!!!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!
Answer:
-½ + (root2 / 2) i + root½ i
Step-by-step explanation:
\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)
I used this formula to do it but let me know if it's enough or you have to simplify it further
Answer:
45
Step-by-step explanation:
The table shows the results of a survey of 200 randomly selected people on whether they like watermelon,
cantaloupe, or both.
Which is the marginal relative frequency for the people who do not like cantaloupe?
A. 25/91
B. 66/200
C. 91/200
D. 66/91
Answer:
C
Step-by-step explanation:
Marginal relative frequency for the people who do not like cantaloupe is 0.455
or
91/100
Answer:
C is correct
Step-by-step explanation:
Which value can fill in the blank in the function f(x) = ____|x| to make its graph wider than that of the parent function, f(x) = |x|?
–1
1
4
Answer:
_4
Step-by-step explanation:
I took the quiz in the car 100
If we want to make the graph wider, then we must have a horizontal dilation, so the correct option will be 1/4.
How do horizontal dilations work?
A horizontal dilation is a transformation that makes the graph of a function wider.
For a function f(x) an horizontal dilation of scale factor k (with k > 1) is written as:
g(x) = f(x/k)
For the case of the absolute value function we will have:
g(x) = |x/k| = (1/k)*|x|
So we need to find the value (1/k).
Remenber that k > 1, then 0 < (1/k) < 1.
This means that the only values between 0 and 1 could fill the blank in such a way that the graph of that function is wider than the one of the parent function, so from the given options, we will take:
1/k = 1/4
Then the function is:
g(x) = (1/4)*|x|
This function will have a graph wider than the one of f(x) = |x|
If you want to learn more about transformations, you can read:
https://brainly.com/question/17586310
How many \frac{1}{2} 2 1 - pound packages of cheese can the deli make with 1212 pounds of cheese?
Given:
Total cheese = 12 pound
Cheese in each package = \(\dfrac{1}{2}\) pounds
To find:
The number of cheese packages.
Solution:
We need to divide the total amount of cheese by quantity of cheese in each package to find the the number of cheese packages.
\(\text{Number of cheese packages}=\dfrac{\text{Total cheese}}{\text{Cheese in each package}}\)
\(\text{Number of cheese packages}=\dfrac{12}{\dfrac{1}{2}}\)
\(\text{Number of cheese packages}=12\times \dfrac{2}{1}\)
\(\text{Number of cheese packages}=24\)
Therefore, there are 24 number of cheese packages.
Help please!! Will give out brainliest and +20 pts (proof is in picture)
Topic: calculus integrals
I had this same problem on my previous homework but now I’m getting the same question and it’s telling me that my equation is incorrect? Why is that so?
Answer:
\(\int\limits^1 _\frac{1}{2} {\frac{-1}{u} } \, du\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASCalculus
Derivative of trig: \(\frac{d}{dx} [cos(x)] = -sin(x)\)Integral of 1/u: \(\int\limits {\frac{1}{u} } \, du = ln|u|\)Fundamental Theory of Calculus Part 1: \(\int\limits^a_b {f(x)} \, dx = F(b)-F(a)\)Integral Solving Methods - u-substitutionStep-by-step explanation:
Step 1: Define
\(\int\limits^\frac{-\pi}{2} _\frac{-2\pi}{3} {\frac{sin(x)}{1+cos(x)} } \, dx\)
Step 2: Evaluate
Define a u: u = 1 + cos(x)Define du: du = -sin(x)dxRewrite integral: \(-\int\limits^\frac{-\pi}{2} _\frac{-2\pi}{3} {\frac{-sin(x)}{1+cos(x)} } \, dx\)u-substitute: \(-\int\limits^\frac{-\pi}{2} _\frac{-2\pi}{3} {\frac{1}{u} } \, du\)Change limits [a]: a = 1 + cos(-π/2) = 1Change limits [b]: b = 1 + cos(-2π/3) = 1/2Change limits: \(-\int\limits^1 _\frac{1}{2} {\frac{1}{u} } \, du\)Step 3: Evaluate Further
Integrate: \(-(ln|u|)|\limits^1_\frac{1}{2}\)FTC Part 1: \(-(ln|1|-ln|\frac{1}{2} |)\)Evaluate: \(-ln|2|\)Evaluate: \(-0.693147\)Which words have vertical symmetry for all of the letters in the word? Check all that apply. MOM DIZZY HIT SEAT WAXY
Answer: 1, 3, 5
1.) MOM 3.) HIT 5.) WAXY
Step-by-step explanation: i hope this helps :)
The words in which all letters have vertical symmetry are MOM, HIT, and WAXY so options (A),(C), and (E) are correct.
What is symmetry?If two figures look an exact shape but their size could be small or big then both figures are called similar figures.
When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.
Vertical symmetry is the way by which a latter will completely coincide about a vertical axis.
For example word "A".
If we take a vertical axis in the mid of the word "A" then about this axis the whole word will coincide by left and right.
Thus, another words are M, O, T, Y, H, X.
The words containing the above letters are MOM, HIT, and WAXY.
Hence "The words in which all letters have vertical symmetry are MOM, HIT, and WAXY".
To learn more about symmetry,
https://brainly.com/question/1597409
#SPJ5
6 groups of 7 = 5 groups of 7 plus
Answer:
1 group of 7
Step-by-step explanation:
The interior angle measure of a regular polygon is given. Identify the polygon.
135
The regular polygon with an interior angle of measure 135 is an octagon.
A regular polygon is a polygon that has equal side lengths and equal interior angle measures.
Interior angle of a polygon is the angle inside it that is formed by two adjacent sides. The number of interior angles formed inside a polygon is the same as the number of its sides. Meanwhile, the sum of all the interior angles of any polygon is constant to that polygon and depends on the number of sides.
sum = 180(n - 2)
Let n = number of sides of the polygon = number of interior angles
sum = measure of interior angle x n
Using the formula,
sum = 180(n - 2)
135n = 180(n - 2)
135n = 180n - 360
180n - 135n = 360
45n = 360
n = 8
If the polygon has 8 sides and 8 interior angles, then the regular polygon is an octagon.
To learn more about interior angle of regular polygon: https://brainly.com/question/1592456
#SPJ4
if f(x)=2x+1 and g(x)=x^2-7 find (f/g)(x)
Step-by-step explanation:
f(x)=2x+1 and g(x)=x²-7
(f/g)(x) = (2x+1)/(x²-7)
Answer:
pls answer my questions plsss
The Bandwagon fallacy occurs when someone attacks an idea by using irrelevant information.
true or False?
False. The bandwagon fallacy is when someone believes that an argument is valid because most people believe it to be true.
The idea is that since everyone believes it, then it must be true. It is also called an argument from popularity, argumentum ad populum, appeal to the masses, appeal to belief, and consensus fallacy.The fallacy occurs when one claims that an idea is true or false because many other people believe it to be so.
The fallacy works because humans are social animals and they tend to believe things that others believe. Therefore, when people see that many others believe in an idea, they are more likely to accept it as true without giving much thought to whether it is actually true or not. The bandwagon fallacy is a logical error because the truth of an idea does not depend on how many people believe it.
To know more about most visit:
https://brainly.com/question/438014
#SPJ11
A concave shaving mirror has a radius of curvature of +36.7 cm. It is positioned so that the (upright) image of a man's face is 2.54 times the size of the face. How far is the mirror from the face?
The concave mirror is 36.7 cm away from the face.
The magnification equation is:
Magnification=m=-v/u where v is the image distance and u is the object distance.
Given that the upright image of a man's face is 2.54 times the size of the face, therefore magnification,
m=2.54 =-v/u.........(i)
Now, the mirror is a concave mirror and its radius of curvature, R=+36.7 cm.
Thus, the mirror's focal length, f=R/2=+18.35 cm.....(ii)
In terms of focal length, the object distance, u = -f.......(iii)
Substituting equation (ii) and (iii) in equation (i), we get:
2.54=-v/(-f)v=-2.54f
Now we have the relationship between v and f.
The object distance from the mirror is the sum of the focal length and the image distance.
Hence the object distance is:
u=f+v
u=-f+v
=-f-2.54f=-3.54f
Substituting the value of f=-18.35 cm, we get:
u= -3.54f
=3.54×18.35 cm = 64.99 cm
Therefore, the concave mirror is 64.99 cm away from the face of the man.
Learn more about focal length here:
https://brainly.com/question/2194024
#SPJ11
Please i need help on math i need fast respond
a rectangular room is 3 times as long as it is wide, and its perimeter is 48 meters. find the dimensions of the room.
The dimensions of the room will be 12m x 6m.
What is a dimension?In mathematics, dimensions are the measurements of the size or distance of an item, area, or space in one direction. In layman's words, it is the measurement of something's length, breadth, and height. Length is the most often used dimension.So, now calculate the dimensions of the room as follows:
Let the width be x.Then the length will be 3x.Perimeter = 48 metersSolve as shown:
2 ( x + 3x) = 488x = 48x = 6mlength = 12 mTherefore, 12m x 6m will be the dimensions of the room.
Learn more about dimensions here :
brainly.com/question/15688735
#SPJ4
Manu drives 50 miles each day. How many miles does he drive in five days.
Answer: Manu drives 250 miles in 5 days.
Step-by-step explanation: Manu drives 50 miles each day, and he does this in each 1 out of 5 days. 50 + 50 + 50 + 50 + 50 is 250.
Answer:
250
Step-by-step explanation:
50= 1 day
?= 5 days
multiply 50 by 5
50 by 5= 250
to make it easier multiply 5 by 5 which is 25 then add the zero from the 50 at the end to get 250
Does anyone know how to solve 4(x+3)-4=16 algebraically all steps shown?
Answer:
x=2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+3)−4=16
Step 1: Simplify both sides of the equation.
4(x+3)−4=16
(4)(x)+(4)(3)+−4=16(Distribute)
4x+12+−4=16
(4x)+(12+−4)=16(Combine Like Terms)
4x+8=16
4x+8=16
Step 2: Subtract 8 from both sides.
4x+8−8=16−8
4x=8
Step 3: Divide both sides by 4.
4x /4 = 8/4
x=2
Answer:
5
Step-by-step explanation:
4x+12-16=16(distribute)
4x-4=16(combine like terms)
4x(-4+4=0, 16+4=20) (do inverse operation)
4x=20(divide by the coefficient of the variable)
x=5
Answer=5
3.8 as a simplified percent
Answer:
i think 38%
Step-by-step explanation:
Evaluate 3 square root 5 square root 5 over 3 square root 5^5
SOMEONE PLZ HELPPPPP ASAPPPP >_
Answer:
I'm pretty sure its c
Step-by-step explanation:
Answer:
get outta that bed and stop cheating lazy one begging people to do YOUR stuff
Step-by-step explanation: