Answer: 7300
Step-by-step explanation: 5200 - 4000 = 1200. 1200 divided by four hours is 300. So 300 bacteria grow per hour. Then you multiply 300 by 11 hours and get 3300 bacteria plus the starting 4000 and your final number is 7300
1. Definir por extensión los siguientes conjuntos: a. El conjunto de los enteros no negativos menores que cinco. b. El conjunto de los números primos entre 10 y 20. c. El conjunto de los múltiplos de 12 que son menores que 65. d. A = {x ∈ Z/ 3 < x < 12}. e. B = {x/ x es un número de un dígito}. 2. Definir por comprensión los siguientes conjuntos: a. El conjunto de los enteros mayores que diez. b. El conjunto de los enteros pares. c. El conjunto {1, 2, 3, 4, 5}. d. El conjunto de los números naturales menores que 10. e. El conjunto de los múltiplos de 2 que son menores que 15.
Answer:
Parte 1
a) {0, 1, 2, 3, 4}
b) {11, 13, 17, 19}
c) {12, 24, 36, 48, 60}
d) Conjunto A = {4, 5, 6, 7, 8, 9, 10, 11}
Conjunto B = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Parte 2
a) {x ∈ Z / x > 10}
{11, 12, 13, 14, 15, ....}
b) {x ∈ Z / 2x}
{2, 4, 6, 8, 10, 12, ....}
c) {x ∈ Z / 1 ≤ x ≤ 5}
{1, 2, 3, 4, 5}
d) {x ∈ N / x < 10}
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9} o {1, 2, 3, 4, 5, 6, 7, 8, 9}
e) {x ∈ Z / 2x < 15}
{2, 4, 6, 8, 10, 12, 14}
Step-by-step explanation:
Parte 1
a.) El conjunto de enteros no negativos menos de cinco.
Los enteros son números enteros. Los enteros no negativos son enteros positivos y 0 (0 es un entero neutral ya que es un número entero)
{0, 1, 2, 3, 4}
b.) El conjunto de números primos entre 10 y 20.
Los números primos son números divisibles por solo 1 y ellos mismos.
{11, 13, 17, 19}
c.) El conjunto de múltiplos de 12 que son menores de 65.
Los múltiplos de 12 son números que surgen cuando 12 se multiplica por números enteros.
{12, 24, 36, 48, 60}
d.) A = {x ∈ Z / 3 < x < 12}. y. B = {x / x es un número de un dígito}.
El conjunto A se refiere a todos los números enteros entre 3 y 12 (no incluido)
Conjunto A = {4, 5, 6, 7, 8, 9, 10, 11}
El conjunto B es un conjunto de todos los números de un dígito.
Conjunto B = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Parte 2
a. El conjunto de enteros mayores que diez.
El conjunto variará de 11 a infinito.
Se escribirá como {x ∈ Z / x> 10}
{11, 12, 13, 14, 15, ....}
b.) El conjunto de enteros pares.
El conjunto de enteros pares comenzará desde 2 e incluirá todos los números pares hasta el infinito.
Se escribirá como {x ∈ Z / 2x}
{2, 4, 6, 8, 10, 12, ....}
c.) El conjunto {1, 2, 3, 4, 5}.
Este es un conjunto de enteros entre 1 y 5 (inclusive)
Se escribirá como {x ∈ Z / 1 ≤ x ≤ 5}
{1, 2, 3, 4, 5}
d.) El conjunto de números naturales menores de 10.
Los números naturales son números de conteo.
Se escribirá como {x ∈ N / x < 10}
Algunos casos incluyen 0 como número natural y otros no.
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9} o {1, 2, 3, 4, 5, 6, 7, 8, 9}
e.) El conjunto de múltiplos de 2 que son menores que 15.
Se puede escribir como {x ∈ Z / 2x <15}
{2, 4, 6, 8, 10, 12, 14}
¡¡¡Espero que esto ayude!!!
In English
Part 1
a. The set of nonnegative integers less than five.
Integers are whole numbers. Non-negative integers are positive integers and 0 (0 is a neutral integer as it is a whole number)
{0, 1, 2, 3, 4}
b. The set of prime numbers between 10 and 20.
Prime numbers are numbers divisible by only 1 and themselves.
{11, 13, 17, 19}
c. The set of multiples of 12 that are less than 65.
Multiples of 12 are numbers that arise when 12 is multiplied by whole numbers.
{12, 24, 36, 48, 60}
d. A = {x ∈ Z / 3 < x < 12}. and. B = {x / x is a one-digit number}.
Set A refers to all integer numbers between 3 and 12 (non-inclusive)
Set A = {4, 5, 6, 7, 8, 9, 10, 11}
Set B is a set of all the one digit numbers.
Set B = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Part 2
a. The set of integers greater than ten.
The set will range from 11 to infinity.
It'll be written as {x ∈ Z / x > 10}
{11, 12, 13, 14, 15, ....}
b. The set of even integers.
The set of even integers will start from 2, and include all the even numbers till infinity.
It'll be written as {x ∈ Z / 2x}
{2, 4, 6, 8, 10, 12, ....}
c. The set {1, 2, 3, 4, 5}.
This is a set of integers between 1 and 5 (inclusive)
It'll be written as {x ∈ Z / 1 ≤ x ≤ 5}
{1, 2, 3, 4, 5}
d. The set of natural numbers less than 10.
Natural numbers are counting numbers.
It'll be written as {x ∈ N / x < 10}
Some cases include 0 as a natural number and some others do not.
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9} or {1, 2, 3, 4, 5, 6, 7, 8, 9}
e. The set of multiples of 2 that are less than 15.
It can written as {x ∈ Z / 2x < 15}
{2, 4, 6, 8, 10, 12, 14}
Hope this Helps!!!
What is the standard form for the quadratic function? f(x)=(x−3)2+5 f(x)=x2−4
f(x)=x2+14
f(x)=x2−6x+14
f(x)=x2+6x−4
Answer:
x^2-6x + 14
Step-by-step explanation:
Here, we want to
write the standard form of the quadratic equation in the question.
This can be written by expanding the bracket.
F(x) = (x-3)^2 +5
F(x) = (x-3)(x-3) + 5
F(x) = x(x-3)-3(x-3) +5
F(x) = x^2 -3x-3x + 9 + 5 = x^2-6x + 14
Solve the equation or inequality 3(14+x) =57 for the unknown number. Show your work.
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
3(14 + x) = 57
Step 2: Solve for x
[Distributive Property] Distribute 3: 42 + 3x = 57[Subtraction Property of Equality] Subtract 42 on both sides: 3x = 15[Division Property of Equality] Divide 3 on both sides: x = 5Answer:
x=5
Step-by-step explanation:
First multiply 3(14+x) = 42 + 3x
Now you have the equation 42 + 3x =57
Then subtract 42 from both sides
The equation would be 3x = 15
Divide 3 from each side to get the x value
15/3=5
So therefore your answer would be x = 5
Hope this helps!
Fred spent 1 ¼ hours studying for his exam. He spent ¼ of this time studying for measurement, how many hours did Fred spend studying for measurement? *
what is the slope of the graph
Answer:
-1/3
Step-by-step explanation:
the slope is always run over rise.
In this case we ran 1 spot to the right from where the line crosses the y axis and then 3 down.
so that gives us 1/3 but since the line is negative, the slope is also negative
Janet and Nadia each play basketball. Nadia has won twice the number of games Janet has. Is it possible for Janet to have won 10 games if the sum of the games Nadia and Janet have won together is 24?
Yes; Janet could have won 10 games because 3x = 24.
Yes; Janet could have won 10 games because 2(10) is less than 24.
No; Janet could not have won 10 games because 2x ≠ 24.
No; Janet could not have won 10 games because 3x ≠ 24.
Answer:
no, janet could not have won 10 games because 3x is not equal to 24
Step-by-step explanation:
if janet won twice as many as nadia that means nadia times 2
so it would be 20 to add both nadia and janet it would be over 24 therefore the answer is d
hope this helps
Answer: No; Janet could not have won 10 games because 3x ≠ 24
Step-by-step explanation:
Janet and Nadia won 30 games together. 10x2(10)=30
! !
—
Use a= √a b= √5 c= √10
to work out the value of ac/b
Give your answer in its simplest form.
Answer:
a = √a b = √5 c = √10
ac/b = (√a)(√10)/√5
= √ 10 × a /√5
= √10a / √5
Rationalize the surd
√10a ×√5/(√5)²
= √50a /5
= 5√2a/ 5
= √2a
The final answer is √2a
Hope this helps
which is not an equation of the line going through (6 7) and (2 -1)
Answer:
d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just did it
Can someone make sure that I’m right I don’t know I think I’m wrong but I don’t know so can you help me
Answer:
2 sqrt(5)
Step-by-step explanation:
To find the geometric mean to two numbers
sqrt( x*y)
sqrt( 5*4)
sqrt(5) * sqrt(4)
2 sqrt(5)
Which of these sequences is a geometric sequence?
Answer:
The answer is option d.
Hope this helps you.
Answer:
D
3,9,27,81,243,729
Step-by-step explanation:
How can we investigate complementary and supplementary angles?
Step-by-step explanation:
Supplementary angles are two angles whose sum of the measurements is 180°. Complementary angles are two angles whose sum of the measurements is 90°. Once an angle relationship is identified, the relationship can be modeled with an equation that will find an unknown value.
Which statement is NOT true?
Answer:
A, a rhombus has all the properties of a square.
Step-by-step explanation:
Not all quadrilaterals will be the same
Figure ABCD is a parallelogram.
What is the value of n?
3
5
17
25
Answer:
n is equal to 17 if you want you can plug the number to both equation and try to see if both are equal if they are equal that means you did it right
Answer:
n = 17
Step-by-step explanation:
The opposite angles of a Parallelogram are equal.
So,
4n-2 = 2n+32
4n-2n = 32+2
2n = 34
Dividing both sides by 2
n = 17
can someone help please
Question 8 of 25
2 Points
Which of these statements is true for f(x) = 4×(7)^x?
A. It is always decreasing
O B. The y-intercept is (0, 1).
O C. The domain of f(x) is x > 0.
D. The y-intercept is (0,4).
SUBMIT
Answer: the y-intercept is (0,4)
Step-by-step explanation:
suppose f(x)=x^2-4.Find the graph of f(3x)
Answer:
3(x²-4) or 3x²-12
Step-by-step explanation:
x²-4 times 3 is equal to 3x-12 which is also 3(x²-12)
If it were two hours later,it would be half as long until midnight as it would be if it were an hour later. what time is it now. please could you help me with this as soon as possible.
Answer:
its 10 am I think
Step-by-step explanation:
it says 2 hours until midnight. 12 - 2 = 10
Answer:
its 10 am
Step-by-step explanation:
12 - 2 = 10
Your lawn mower mows a lawn in 1.5 hours. When your friend's lawn mower is used together with your lawn mower, the lawn is mowed in 0.5 hours. How long (in hours) does it take your friend's mower to mow the lawn when working alone?
Answer:
My friend's mower will take approximately 0.75 h to mow the lawn alone.
Step-by-step explanation:
To solve this problem we can use the idea of average speed and apply to this problem, using the appropriate formula shown below:
[tex]speed = \frac{distance}{time}[/tex]
Where each lawn mower has a speed at which they can mown, the distance is the lawn they're mowing and the time is how long they will take to do it. In the case where my equipment is working alone, its speed "x" can be modeled as below:
[tex]x = \frac{lawn}{1.5}[/tex]
When my friend's mower does the job, its speed "y" can be seen as:
[tex]y = \frac{lawn}{time}[/tex]
When both work together the speed can be seen as:
[tex]x + y = \frac{lawn}{0.5}[/tex]
Applying the first two equations on the second, gives us:
[tex]\frac{lawn}{1.5} + \frac{lawn}{time} = \frac{lawn}{0.5}\\\frac{1}{time} = \frac{1}{0.5} - \frac{1}{1.5}\\\frac{1}{time} = 2 - 0.667\\\frac{1}{time} = 1.333\\1.333*time = 1\\time = \frac{1}{1.333} = 0.75[/tex]
My friend's mower will take approximately 0.75 h to mow the lawn alone.
How many cubes are needed to build this figure?
Answer:
3 cubes are needed are needed to build the figure
What is the inverse of the logarithmic function f(x)= log2x.
Answer:
the inverse is :10^x/2
Step-by-step explanation:
f(x)= log2x.
f^-1(x)=10^x/2
Solve the problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. In isosceles triangle ∆ABC, BM is the median to the base AC . Point D is on BM . Prove the following triangle congruencies: b ∆AMD ≅ ∆CMD △ AM D≅△CMD by rule ______
Answer:
ΔAMD ≅ ΔCMD by Side Side Side (SSS) congruency rule
Step-by-step explanation:
Given that ΔABC is an isosceles triangle, with [tex]\overline{BA}[/tex] ≅ [tex]\overline{BC}[/tex]
With BM as the median line from B to AC, we have;
∠ABM = ∠CBM
Also we have;
[tex]\overline{BD}[/tex] ≅ [tex]\overline{BD}[/tex] - Reflexive property
Therefore, ΔABD ≅ ΔCBD Side Angle Side SAS condition of congruency
Therefore;
[tex]\overline{AD}[/tex] ≅ [tex]\overline{CD}[/tex] Corresponding sides of congruent triangles are congruent CPCTC
[tex]\overline{AM}[/tex] ≅ [tex]\overline{CM}[/tex] - AC is bisected by [tex]\overline{BM}[/tex] where [tex]\overline{BM}[/tex] = Median line
[tex]\overline{DM}[/tex] ≅ [tex]\overline{DM}[/tex] - Reflexive property
Therefore, we have;
ΔAMD ≅ ΔCMD - Side Side Side (SSS) congruency rule
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.
9514 1404 393
Answer:
£170,000
Step-by-step explanation:
Bianca bought the house for 1 +20% = 1.2 times Rafik's purchase price. She sold it for 1 -5% = 0.95 times what she bought it for. So, we have ...
(Rafik's purchase price)×1.2×0.95 = £193800
Rafik's purchase price = £193,800/(1.2×0.95) = £170,000
Rafik bought the house for £170,000.
Hi can anyone help me with this question
Answer:
12000 liters.
Step-by-step explanation:
The depth of the oil in the tank is 1.2 m.
The height of the oil is 1.2 m.
Length is 5 m and width is 2 m.
The volume of a rectangular prism is l×w×h.
5×2×1.2
= 12
The volume of the oil in the tank is 12 m³.
1 m³ = 1000 liters
12×1000 = 12000 liters.
The quantity of oil in the tank is 12000 liters.
You have a 90% as your grade and on your final you get 80%. Your current grade is 20%of your grade and your final is 80% of your grade. What percent for your grade would you get in the end?
Answer:
82%
Step-by-step explanation:
(20×90+80×80) / (20+80) = 8200 / 100 = 82.00
In a lottery, the top cash prize was $693 million, going to three lucky winners. Players pick four different numbers from 1 to 51 and one number from 1 to 48. A player wins a minimum award of $ 400 by correctly matching two numbers drawn from the white balls (1 through 51) and matching the number on the gold ball (1 through 48). What is the probability of winning the minimum award?
Answer:
0.00054
Step-by-step explanation:
Gold ball: we have one chance of choosing the correct ball from 1 to 48, so the probability is 1/48
White balls: we will pick 4 numbers from 1 to 51, so the total possibilities of groups of numbers we can choose is a combination of 51 choose 4:
C(51, 4) = 51! / (4! * 47!) = 51*50*49*48/(4*3*2)
If we want to correctly guess two numbers, we have groups of 2 winning numbers in the 4 numbers we guess, so a combination of 4 choose 2, and we also have to incorrectly guess the other 2 winning numbers in the 47 remaining numbers we didn't choose, so a combination of 47 choose 2:
C(4, 2) = 4! / (2! * 2!) = 4*3/2 = 6
C(47, 2) = 47! / (2! * 45!) = 47*46/2
The probability of the white balls case is the two combinations above over the total number of cases (the first combination we calculated):
P = C(4, 2) * C(47, 2) / C(51, 4)
P = (6 * 47 * 46/2) / (51 * 50 * 49 * 48/(4*3*2))
P = (3 * 47 * 46 * 4 * 3 * 2) / (51 * 50 * 49 * 48) = 0.026
Then the final probability is the probability in the gold ball case times the probability in the white balls case:
P = (1/48) * (3 * 47 * 46 * 4 * 3 * 2) / (51 * 50 * 49 * 48) = 0.00054
Expand and simplify . 2xy(5y-3x)-6xy(4y-2x) PLEASE HELP. BEST ANSWER RECIEVES A BRIANLIEST
Answer:
-14xy^2+6x^2y
Step-by-step explanation:
Hope this helps at least
Answer:-14xy^(2)+6x^(2)y
Hi can you help me with this question
Answer:
68 m²
Step-by-step explanation:
The area of the lawn is calculated as
area of garden - area of flower bed - area of vegetable patch
Calculating the area of each
area of rectangular garden = 14 × 10 = 140 m²
area of flower bed = [tex]\frac{1}{2}[/tex] × 3 × 8 = 12 m²
area of vegetable patch = [tex]\frac{1}{2}[/tex] × 10 × (5 + 7) = 5 × 12 = 60 m²
Thus
area of lawn = 140 - 12 - 60 = 68 m²
-67/50 + 1.5 - 100% =
Need help!
Answer:
-0.84
Step-by-step explanation:
hope ths helps i did the test btw :)
What is the value of x? Enter your answer in the box.
Answer:
19
Step-by-step explanation:
Since these two are vertical angles, their measure must be equal. Therefore:
[tex]3x-3=6(x-10) \\\\3x-3=6x-60 \\\\3x+57=6x \\\\3x=57 \\\\x=19^{\circ}[/tex]
Hope this helps!
Answer:
19
Step-by-step explanation:
The two angles are vertically opposite angles, so they are equal.
3x - 3 = 6 (x - 10)
3x - 3 = 6x - 60
3x - 6x = - 60 + 3
-3x = -57
x = -57/-3
x = 19
Brainliest question I need asap
Answer:
DF = 75
FBE = 105
FC = 60
CBE = 45
DAC = 225
ABE = 135
ABF = 120