Answer:
You can buy 12 pizzas and 20 sodas with a small sum left over.
Step-by-step explanation:
Jenny bought gas for her car. Gas cost $3.45 per gallon. She bought 12.2 gallons for her car. What was the total cost of gas for Jenny's car?
Answer:
42.09
Step-by-step explanation:
3.45 x 12.2 = 42.09 (checked with a calculator)
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. width units height units
This question is incomplete, the remaining part of the question is upload as an image alongside this answer.
Answer:
Width = 2x = 2( r/√2 ) = √2 r units
Height = 2y = 2( r/√2 ) = √2 r units
Step-by-step explanation:
From the Figure on the image; lets consider the circle of radius r, centered at the origin.
let ABCD be the largest rectangle that can be inscribed inside the circle.
Let the half width of the rectangle be x, then in right triangle ONB using Pythagorean theorem,
half height of rectangle y = √(r² - x²)
Thus the width of the inscribed rectangle = 2x and height of the inscribed rectangle = 2√(r² - x²)
thus the area of the inscribed rectangle = length × width
⇒ A(x) = 2x(2√(r² - x²))
⇒ A(x) = 4x√(r² - x²)
now in order to maximize the area, we find critical points.
so we find the derivative and set that zero, that is Ai(x) = 0.
so using product rule, we get
A'(x) = 4x × ( -2x / 2√(r² - x²) ) + ( 4 × √(r² - x²) )
A'(x) = ( -4x² / √(r² - x²) ) + ( 4√(r² - x²) )
Now for critical points, set A'(x) = 0
so
( -4x² / √(r² - x²) ) + ( 4√(r² - x²) ) = 0
( 4x² / √(r² - x²) ) = ( 4√(r² - x²) )
x² = r² - x²
2x² = r²
x² = r²/2
x = ±√(r²/2)
Now since x represent the with, it cannot be negative, Thus
x = r/√2
hence
y = √(r² - x²) = √(r² - r²/2) = √(r²/2) = r/√2
Therefore, the dimensions of the rectangle of largest area will be;
Width = 2x = 2( r/√2 ) = √2 r units
Height = 2y = 2( r/√2 ) = √2 r units
Keith is making a spice rack for his mom in woodworking class. He starts with a board that is 31.25 inches long. Then, he cuts it into 5 equal pieces for the shelves. How long will each shelf be?
Answer:
the answer is ......
Step-by-step explanation:
ngl i kinda wanna boo anyone down :)
Answer:yo it’s me leo remember me my acount got deleted
Step-by-step explanation:
Which of the following is the best definition of a statistical population?
a. The distribution of all possible values that can be assumed by some statistic, computed from samples of different sizes randomly drawn from different populations.
b. Distribution of some characteristic based on individual observations – for each individual unit we measure the characteristic and then look at the distribution of all of these values.
c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.
d. The distribution of all possible values that can be assumed by some parameter, computed from a single sample randomly drawn from some population.
c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.
c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.
What is the statistical population?A population is the group of people from which a statistical sample is taken in statistics. Therefore, a population is any collection of people who have something in common. A statistically significant portion of a population, rather than the full population, may also be referred to as a sample.
When surveying a big number of people, it is just impracticable to examine everyone who fits the description you are looking at using a population parameter. It is often easier to study a smaller sample of participants, but by applying inferential statistics, it is possible to get a good approximation of the population parameter.
thus, statistical population is the distribution of all of the statistics calculated from all possible samples of the same size.
Therefore, The statistical population, which is calculated from samples of the same size randomly selected from the same population, is the distribution of all potential values that can be assumed by a statistic.
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g According to government data, 25% of employed women have never been married. If 10 employed women are selected at random, what is the probability that two or fewer of them have never been married
Answer:
The probability is 0.5263
Step-by-step explanation:
Probability of employed women being unmarried = 25% = 0.25 ( let this be p)
Probability of employed women ever being married = 1-0.25 = 0.75 (let this be q)
Now, we want to calculate the probability that two or less have never been married
We can use the Bernoulli approximation of the Binomial distribution here;
In this case, we have three cases
We have cases of;
Exactly two + Exactly one + None
For exactly two;
10 C 2 0.25^2 0.75^8 = 0.282
For exactly one
10 C 1 0.25^1 0.75^9 = 0.188
For none
10C 0 0.25^0 0.75^10 = 0.0563
Adding these 3 to get the probability of two or fewer, we have;
0.0563 + 0.188 + 0.282 = 0.5263
Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication
Answer:
Natalia's work is wrong.
Step-by-step explanation:
Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:
1) [tex]x = 6.2\times 12[/tex] Given.
2) [tex]x = \left(6+0.2\right)\times 12[/tex] Definition of addition.
3) [tex]x = 6\times 12 + 0.2\times 12[/tex] Distributive property.
4) [tex]x = 72 + \frac{2}{10}\times 12[/tex] Definitions of multiplication and decimal number.
5) [tex]x = 72 +[2\cdot (10)^{-1}]\cdot 12[/tex] Definition of division/Associative property.
6) [tex]x = 72 + [2\cdot 12]\cdot (10)^{-1}[/tex] Associative property.
7) [tex]x = 72 + 24\cdot 10^{-1}[/tex] Definition of multiplication.
8) [tex]x = 72 + \frac{24}{10}[/tex] Definition of divsion.
9) [tex]x = 72 + 2.4[/tex] Defintion of decimal number.
10) [tex]x = 74.4[/tex] Definition of addition/Result
Natalia's work is wrong.
HELP ASAP PLEASE
What is the equation of the line tangent to the function f(x) = 1 – x2 at x = –3?
y = 6x + 10
y = 6x + 26
y = –6x – 8
y = –6x – 26
Plug the formula into Desmos and even just visually
C. " y = -6x - 8
is the answer
The equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8. Option C is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the function is,f(x) = 1 – x²
We have to find the equation of the line tangent to the function f(x) = 1 – x² at x = –3.
Determine the function's first derivative f(x), To get the slope at a given location, plug the specified point's x value into f'(x). To determine the tangent point's y coordinate, plug the value of x into f(x). The point-slope formula may be used to combine the slope from step 2 with the point from step 3 to produce the equation for the tangent line.
Thus, the equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8.Option C is correct.
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give two ways to write the expression as a phase for 15-b
Answer:
((c)) man so simple. bye
Make a table of values for f(x) after the given translation 3 units up
Answer:
In this case, we do not have the table, so i will answer in a general way:
First, let's describe the transformation.
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Then a shift of 3 units up, is written as:
g(x) = f(x) + 3
This would be translated to the table in the next way:
You need to add 3 to all the values of y (or f(x)) in the table:
So if for example, the original table was:
x f(x)
0 5
1 7
2 10
3 15
The table of the transformation will be:
x g(x)
0 5 + 3 = 8
1 7 + 3 = 10
2 10 + 3 = 13
3 15 + 3 = 18
Which number line shows -3, -2, 1, and 3 correctly plotted?
Answer:
i need a picture of the graphs
Step-by-step explanation:
z=−24i−19
Re(z)=
Im(z)=
9514 1404 393
Answer:
Re(z) = -19Im(z) = -24Step-by-step explanation:
There is some disagreement over whether the "imaginary part" includes the factor "i" or not. Here, we assume it is simply the coefficient of i.
Re(z) = -19 . . . . the part that does not have a factor of i
Im(z) = -24 . . . . the coefficient of i
A coordinate plane with a line passing through (negative 3, 2) and (0, 3) Find the linear function represented by the graph. The slope of the line is . The y-intercept of the line is at ✔ 3 . What linear function is represented by the graph?
Answer:
Step-by-step explanation:
Answer:
Look at step by step explanation
Step-by-step explanation:
If this is edgenunity here are your 3 answers
slope: 1/3
The y- intercept 3
Linear function f(x) = (1/3)x+3
please help asap!! no trolls
Answer:
Cannot prove as congruent
Step-by-step explanation:
AAA cannot be used to prove whether a triangle is congruent. Only SSS, SAS, ASA, and AAS can be used.
If my dog is yellow and red on the tail blue on it’s left foot how much does he weigh and is he orange?
seventy five pounds
Step-by-step explanation:
because the colors make him heavy duh
help please help mesda
Answer:
25, 25, 22.5, 22
Step-by-step explanation:
It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.
We are given all of these values:
x -> 2, 3, 4, 5
y -> 50, 75, 90, 110
Use the formula given and solve for K.
50/2 = 25
75/3 = 25
90/4 = 22.5
110/5 = 22
Best of Luck!
Please I need help !!!!
Answer:
The first one is c the second is b
help with slope please !
Answer:
-1
Step-by-step explanation:
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What is the sign of the product (3)(–3)(–2)(4)
Answer:
72
Step-by-step explanation:
brainliest please
The table below represents a function. Write a number from the given values below to complete the table of values.
The answer is -3/-1/2
Tap on a clip to paste it in the text box.
1274 divded by 14 whatttt is itttt plssss helppp asappp
1274 divided by 14 equals 91, see attachment below
What is the solution to the inequality −2x+8<3(2x−4)?
Answer:
x>5/2
Step-by-step explanation:
Explain how to evaluate algebraic expression
given value of a variable.
Describe another pattern you see in this set of numbers 20,24,28,32, and 36
Use the Distributive Property on the
equation below.
3(4y + 3) = [ ? ]y +[ ]
Answer:
12y+9
Step-by-step explanation:
What should the following rate be divided by to convert it to a unit rate?
6 inches
12 hours
A.12/12
B.2/2
C.12
D.6/6
Answer:
Can someone help, please?
-1/2(7z+4)+1/5(5z-15)
Answer:
21
Step-by-step explanation:
bc i said
Find the distance between the points (-12.3, 15.1) and (17.5, 2). Round your answer to the
nearest hundredth.
Answer:
32.55
Step-by-step explanation:
d = 32.552266
For:
(X1, Y1) = (-12.3, 15.1)
(X2, Y2) = (17.5, 2)
Distance Equation Solution:
d=(17.5−(−12.3))2+(2−15.1)2−−−−−−−−−−−−−−−−−−−−−−−−−√
d=(29.8)2+(−13.1)2−−−−−−−−−−−−−−−√
d=888.04+171.61−−−−−−−−−−−−−√
d=1–√059.65
d=32.552266
could be confusing.
Max has 5 apples he gives away 2 How many apples does he have left
find the value of x showing your steps. identify the postulate that allowed you to solve for x.
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesGeometry
CongruencyAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
3(x + 7)° = 63°
3(x + 7)° + 63° + y° = 180°
Step 2: Solve for x
Divide 3 on both sides: x + 7 = 21Subtract 7 on both sides: x = 14Write 56\90 as a decimal
Answer:
0.62
Step-by-step explanation:
divide 56 by 90
Hope this helps :)
Answer:
0.622222222222
Step-by-step explanation: