Answer:
5^3
Step-by-step explanation:
5^-2 * 5^5
We know that a^b * a^c = a^(b+c)
5^(-2+5)
5^3
Raul has a circular koi pond in a 30-foot square patio. Find the area of the patio that is not part of the pond to the nearest hundredth. Show your work.
Answer:
193.14 ft^2
Step-by-step explanation:
Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.
Complete the table by classifying the polynomials by degree and number of terms.
quadratic
constant
exponential
Polynominal
(picture)
The names of the expressions are;
1) Monomial, quadratic
2) Monomial, constant
3) Binomial, Linear
4) Trinomial, quadratic
What are polynomials and trinomials?
An algebraic expression that has one or more terms, each of which is a variable raised to a non-negative integer exponent and multiplied by a coefficient, is referred to as a polynomial. The terms are mixed by adding or removing. A polynomial may include 0 terms or more.
A particular kind of polynomial known as a trinomial has exactly three terms. Trinomials are made up of three different pieces, which are frequently denoted by the formula "ax2 + bx + c," where "a," "b," and "c" are coefficients.
Learn more about polynomials:https://brainly.com/question/11536910
#SPJ1
HELP PLEASE FAST!!!!!
Answer: first choice is correct
Step-by-step explanation:
\(\sqrt{10} = 3.16\\\\ \sqrt{13} = 3.6\)
22/9 = 2.44
Therefore Point A is 22/9, Point B is \(\sqrt{10}\), Point C is \(\sqrt{13}\)
I need help -7y^2-2y^2+y^3-3y-2y+5y^3-2y
Answer:
6
3
−
9
2
−
7
Step-by-step explanation:
Combine like terms
−
7
2
−
2
2
+
3
−
3
−
2
+
5
3
−
2
{\color{#c92786}{-7y^{2}}}{\color{#c92786}{-2y^{2}}}+y^{3}-3y-2y+5y^{3}-2y
−7y2−2y2+y3−3y−2y+5y3−2y
−
9
2
+
3
−
3
−
2
+
5
3
−
2
Combine like terms
−
9
2
+
3
−
3
−
2
+
5
3
−
2
-9y^{2}+y^{3}{\color{#c92786}{-3y}}{\color{#c92786}{-2y}}+5y^{3}{\color{#c92786}{-2y}}
−9y2+y3−3y−2y+5y3−2y
−
9
2
+
3
−
7
+
5
3
Combine like terms
−
9
2
+
3
−
7
+
5
3
-9y^{2}+{\color{#c92786}{y^{3}}}-7y+{\color{#c92786}{5y^{3}}}
−9y2+y3−7y+5y3
−
9
2
+
6
3
−
7
Rearrange terms
−
9
2
+
6
3
−
7
{\color{#c92786}{-9y^{2}+6y^{3}-7y}}
−9y2+6y3−7y
6
3
−
9
2
−
7
Solution
6
3
−
9
2
−
7
Complete the following statement.
In 35 ÷ 7 = 5, 5 is the
_____?
Answer:
Quotient.
Step-by-step explanation:
Select the correct answer.
Simplify:
3x3² +8÷2-(4+3)
A.
30
B. 32
OC. 23
OD. 24
I need it asap pleasee
Answer:
OD:24
Step-by-step explanation:
3*3”2 = 27
-(4+3) = -7
8divided by 2= 4
27 + 4 -7=24
PLEASE HELP WITH FACTORING PROBLEM/SHOW WORK!
Answer:
(3x+2)(x-5)
Step-by-step explanation:
Factor by grouping
\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)
HELPPP!!!!!
A sample of an unknown liquid has a volume of 24.0 mL and a mass of 6 g. What is its density? Show your work or explain how you determined this value. (4 points)
Answer:
0.25 g/mL
Step-by-step explanation:
d=m/v
6 g / 24 mL
0.25 g/mL
both (g) and mL were only used once so the answer includes both of them
A town with a population of 5,000 grows 3% per year. Find the population at the end of
10 years.
Answer:
6,500
Step-by-step explanation:
5000x.03=150
150=3%
150x10=1500
1,500+5,000= 6,500
A model of a rectangular stove top with four circular burners is shown. The side lengths of the stove top and the diameters of the burners are labeled.
Which measurement is the best estimate of the area in square inches of the stove top that does not include the area of the burners?
A) 108 in.2
B) 492 in.2
C) 420 in.2
D) 528 in.2
The required estimate of the area in square inches of the stove top that does not include the area of the burners is 415 square inches.
What is surface area?Surface area is defined as the measure of a region or surface is called as surface area.
The best estimate of the area of the stovetop that does not include the area of the burners can be obtained by subtracting the total area of the four burners from the total area of the stovetop.
The total area of the stove top is given by the product of its length and width:
Length = 24 inches
Width = 22 inches
Area = Length × Width = 24 × 22 = 528 square inches
The area of each burner is given by the formula for the area of a circle:
= π × (diameter/2)²,
where π is approximately equal to 3.14
Since the diameter of each burner is 6 inches, the radius of each burner is 6/2 = 3 inches.
Area of one burner = Pi × (3)² = 3.14 × 9 = 28.26 square inches
The total area of the four burners is 4 × 28.26 = 113 square
The area of the stove top = 528 - 113
= 415 square inches.
Thus, the required estimate of the area in square inches of the stove top that does not include the area of the burners is 415 square inches.
Learn more about the surface area here:
https://brainly.com/question/2835293
#SPJ6
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
complete this statement: A plolygon with all sides the same length is said to be
Answer:
it is said to be a regular polygon.
Step-by-step explanation:
A regular polygon is a polygon that has all angles of the same measure and all sides of the same length.
Determine ratio of A to B. Round as indicated.
A = 24.7% is the divorce rate in City A
B = 28.7% is the divorce rate in City B
(Round to the nearest hundredth when necessary.)
Select one:
O a. 0.09
O b. 8.61
OC. 0.86
O d. 1.16
Answer:
C
Step-by-step explanation:
Let f(x) = x ^ 2 + 5 and g(x) = sqrt(x - 5) Find the rules for (fg)(x) (gf)(x)
Answer:
To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.
(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x
(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|
Therefore, the rules for (fg)(x) and (gf)(x) are:
(fg)(x) = x
(gf)(x) = |x|
Step-by-step explanation:
A teacher gave her class two exams; 60% of the class passed the second exam, but only 48% of the class passed both exams. What percent of those who passed the second exam also passed the first exam? Select one: a. 80% b. 12% c. 30% d. 48%
Answer:
the answer is (a) 80%.
Step-by-step explanation:
Let's assume that there were 100 students in the class.
Then, from the given information, we know that:
60 students passed the second exam.
48 students passed both exams.
To find the percentage of those who passed the second exam and also passed the first exam, we can use the formula:
(number of students who passed both exams / number of students who passed the second exam) x 100%
Substituting the values we have:
(48 / 60) x 100% = 80%
Therefore, the answer is (a) 80%.
Please help asap
y+8 = -4(x-3)
What’s the slope
Answer:
-4
Step-by-step explanation:
y= mx+c
y= -4x+12-8
y= -4x+4
Therefore, m is -4.
The probability distribution of random variable, X, is defined as follows:
X 0 1 2 3 4
Probability 0 0.3 0.1 0.3 0.3
A) Explain if the above is a valid probability model.
B) Is the described random variable discrete or continuous?
C) What is the expected value (mean) of the probability distribution?
D) Calculate P(X = 3).
E) Calculate P(X < 4).
F) Calculate P(X > 0).
G) Calculate P(X = 5).
H) Calculate P(X = 0).
I) What is the total area under any density curve?
Answer and Step-by-step explanation:
A) For the model to be a probability distribution, it has to follow two conditions:
1) The probability of each value of the discrete random variable is between, and included, 0 and 1:
2) The sum of all probabilities is 1;
In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;
Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1
Therefore, this model is a valid probability distribution model.
B) They are discrete because each value correspond to a finite number of possible values.
C) Expected value is calculated by
\(E(X) = \Sigma xP(x)\)
\(E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3\)
E(X) = 2.6
D) P(X=3) = P(3), which means probability of 3:
P(X=3) = 0.3
E) P(X<4): probabilities of values of X that are less than 4:
P(X<4) = P(0) + P(1) + P(2) + P(3)
P(X<4) = 0 + 0.3 + 0.1 + 0.3
P(X<4) = 0.7
F) P(X>0) = P(1) + P(2) + P(3) + P(4)
P(X>0) = 0.3 + 0.1 + 0.3 + 0.3
P(X>0) = 1
G) P(X=5) = P(5)
There is no probability of P(5) because the model doesn't "cover" that number.
H) P(X=0) = P(0)
P(X=0) = 0
I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.
The answers are given as- A) Model is a valid probability distribution model.
B ) The described random variable is discrete.
C ) Mean E(X) = 2.6
D) P(X=3) = 0.3
E ) P(X < 4) = 2.6
F ) P(X > 0) = 1
G ) There is no probability of P(5)
H ) P(X = 0) = 0
I ) The total area of any density curve is 1
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
A) For the model to be a probability distribution, it has to follow two conditions:
In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;
Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1
Therefore, this model is a valid probability distribution model.
B) They are discrete because each value correspond to a finite number of possible values.
C) Expected value is calculated by
E(x) = ∑ P(x)
E ( x) = 0 + ( 1 x 0.3 ) + ( 2 x 0.1 ) + 3 ( 0.3 ) + 4 ( 0.3 )
E(X) = 2.6
D) P(X=3) = P(3), which means a probability of 3:
P(X=3) = 0.3
E) P(X<4): probabilities of values of X that are less than 4:
P(X<4) = P(0) + P(1) + P(2) + P(3)
P(X<4) = 0 + 0.3 + 0.1 + 0.3
P(X<4) = 0.7
F) P(X>0) = P(1) + P(2) + P(3) + P(4)
P(X>0) = 0.3 + 0.1 + 0.3 + 0.3
P(X>0) = 1
G) P(X=5) = P(5)
There is no probability of P(5) because the model doesn't "cover" that number.
H) P(X=0) = P(0)
P(X=0) = 0
I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ5
Find a Cartesian equation relating r and y corresponding to the parametric equations x=4sin(2t) y=3cos(2t) Write your answer in the form where P(z, y) is a polynomial in z and y such that the coefficient of y2 is 16. Answer……..
Answer:
36x^2+gy^2-324=0
Step-by-step explanation:
Choose a number line to model the following situation. After walking 5 steps forward, Julie walked 5 steps backward.
Answer:
B
Step-by-step explanation:
She walked 5 steps foward and stoped. Then turned around and walk back the same distance. So she walked the same place twice once to get their and once to get back to the starting pouint.
Select the correct answer.
You’re trying to determine what the temperature is outside. The thermometer says it’s 24°C. You convert this temperature to 100°F. If a mistake was made during the conversion process, how did it happen?
A.
You converted Fahrenheit to Celsius instead of Celsius to Fahrenheit.
B.
You added 32 before multiplying by instead of multiplying by and then adding 32.
C.
You multiplied by instead of multiplying by .
D.
No mistake was made.
Answer:
B. You added 32 before multiplying by instead of multiplying by and then adding 32.
What is the expression and value of “six less than nine times the sum of a number and eight” when n = 5? 9 (n + 8) minus 6; when n = 5, the value is 111. 6 minus 9 (n + 8); when n = 5, the value is 111. 9 (n) + 8 minus 6; when n = 5, the value is 47. 6 minus 9 (n) + 8; when n = 5, the value is 47.
Answer:
See below.
Step-by-step explanation:
9(n+8)-6
n=5
9(5+8)-6
9(13)-6
117-6
111
A sum is the answer to an addition expression or equation.
When one refers to "less than", they mean the number is "less than" the entirety of the expression or equation.
-hope it helps
i need help with this math problem if anyone can help within the next 5-30m that would be great!
Answer:
2 1/3
Step-by-step explanation:
add then multiplying to the nearest one.
23) Convert 155 pounds into grams using dimensional analysis.
One pound = 0.453592 kilograms
1 kilogram = 1,000 grams
070,306.76 grams
O 700,306.76 grams
0 7,030.676 grams
O 0.7030676 grams
Help
Answer:
A; 70, 306.76 grams
Step-by-step explanation:
For each proof, you must include (i.e., write) the premises in that proof. I do not want to see any proofs without premises. YOU CANNOT USE CONDITIONAL PROOF (CP), INDIRECT PROOF (IP), OR ASSUMED PREMISES (AP). Additionally, use only the 18 rules of inference found in the text and in the notes. If you use an inference rule such as Resolution or Contradiction, you will lose points. 1. 1. C ---> (~D ---> ~X)2. C3. X /D (Note: /D means you have to prove that D validly follows from the premises.)_________________________________________________________________2. 1. A ---> ~B2. B3. ~A ---> (C v ~ B) /C____________________________________________________________________3. 1. A ---> ~D2. ~D ---> (~B v ~~A)3. A4. B /~~A___________________________________________________________________Note:you don't need to use DN and when you have iterated negation signs, do not use parentheses.~~A does not need parentheses.
B is true, so we can conclude ~~A by disjunctive syllogism.
This proof is based on the inference rules you provided.
D Proof: Premises:
C ---> (~D ---> ~X)
The Modus Ponens Rule was used.
Finally, X /D
Explanation: Using Modus Ponens, we can conclude that D ---> X from premises 1 and 2.
Because premise 2 is true, we can conclude X via modus tollens.
We can conclude that D must be false because X is true.
Evidence for C:
Conditions: A ---> B B
Modus Tollens is the rule that was used.
Finally, C / A
Explanation: Using Modus Tollens, we can conclude from premises 1 and 2 that A.
Because A is false in premise 1, we can conclude that B is true.
Because premise 2 is true, we can conclude C using disjunctive syllogism.
Proof for ~~A:
Premises:
A ---> ~D
~D ---> (~B v ~~A)
A
B
Rule used: Modus Ponens
Conclusion:
~~A /B
Explanation:
From premise 1 and 3, using Modus Ponens, we can conclude that ~D.
From premise 2 and ~D, using Modus Ponens, we can conclude that ~B v ~~A.
From premise 4, B is true, so we can conclude ~~A by disjunctive syllogism.
To learn more about syllogism.
https://brainly.com/question/21635821
#SPJ4
The circle graph shown illustrates the distribution of books
in the Smallcity Public Library. If the library has 9600
books, how many Adult Nonfiction books does it stock?
22%
Children
28%
Adult
Fiction
18%
Young
Adult
32%
Adult
Non-fiction
Answer:
3072
Step-by-step explanation: you just need to multiply .32 by 9600.
There are 29 students in a homeroom. How many different ways can they be chosen to be elected President, Vice President, and Treasurer?
Sally owns a restaurant in Wooville. The city is trying to get a minor league team to move there in 2021, either to location A (near her restaurant) or location B. The team might stay in location C in another city. The probability of these events, and her estimated annual profit in 2021 are shown in the table below.
The standard deviation of the restaurant profits in 2021 is given by $71181.
Restaurant profit for outcome 'move to A' = $ 260000
Restaurant profit for outcome 'move to B' = $ 120000
Restaurant profit for outcome 'stay in C' = $ 100000
The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.
Standard deviation of the restaurant profits in 2021 is given by
= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)
= $ √(((100000)² + (40000)² + (60000)²)/3)
= $ √(15200000000/3)
= $ √5066666667
= $ 71181 (rounded to the nearest dollar)
Hence standard deviation of the restaurant profits in 2021 is given by $71181.
To know more about standard deviation here
https://brainly.com/question/12402189
#SPJ1
The question is incomplete. The complete question will be -
round 63,104,159,896 to the nearest hundred million
round 2,005,562,134 to the nearest hundred million
round 5,678,600,941 to the nearest hundred million
Answer:
The answer to each one is 1) 63,100,000,000
2) 2,000,000,000
3) 5,700,000,000
El perímetro de un módulo de vigilancia en forma de pentagono regular es de 35 metro, si un trabajador se le encargo pintar uno de sus muros para lo cual cobrar por metro lineal ¿cuantos metros pintará?
Answer:El pintor debe pintar un muro de módulo de vigilancia, que es un pentágono regular, por tanto, procedemos a buscar cuántos metros debe pintar: P = 5·L 35 m = 5·L L = 35 m / 5 L = 7 m En consecuencia, al pintar un muro, el trabajador pintará 7 m.
Step-by-step explanation:
El trabajador pintará 7 metros de muro, ya que esa es la longitud de cada lado del pentágono regular cuyo perímetro es de 35 metros.
Explanation:Un pentágono regular es una figura con cinco lados iguales. Si su perímetro total es de 35 metros, entonces cada lado del pentágono mide 35 metros dividido entre 5, que resulta igual a 7 metros. Entonces, si el trabajador debe pintar uno de los muros del pentágono regular, la cantidad de metros lineales a pintar será igual a la longitud de uno de sus lados. Por lo tanto, el trabajador pintará 7 metros de muro.
Learn more about Perímetro de pentágono regular here:https://brainly.com/question/32507074
#SPJ2
Sara has a rectangular patio. The width of the patio is 12 feet.
The perimeter of the patio is 56 feet. What is the length of Sara’s patio?
Answer:
16 feet
Step-by-step explanation:
just cuz that's what it is
Answer:
The length is 16 feet.
Step-by-step explanation:
If two sides of the patio are 12ft, and the two other sides are of equal length, then the equation for the perimeter is
12+12+x+x=56 or 2(12)+2x=56
to solve
24+2x=56
2x=56-24
2x=32
x=16 feet