Responder:
1 hora 55 minutos; 22 horas 45 minutos
Explicación paso a paso:
Dado que:
Tiempo el primer día = 15 minutos
Minutos adicionales cada día siguiente = 5 minutos
Número total de días
Usando la fórmula del enésimo término de una progresión aritmética:
Tn = A + (n - 1) d
A = primer trimestre = 15
d = diferencia común = 5
n = enésimo término
Tiempo de nado el último día (n = 21)
T21 = 15 + (21 - 1) 5
T21 = 15 + 20 * 5
T21 = 15 + 100
T21 = 115 minutos
= 1 hora 55 minutos
SEGUNDO.)
Suma de minutos durante las 3 semanas
Suma de n términos:
Sn = n / 2 * (primer término + último término)
Primer término = 15
Último trimestre = a21 = 115 minutos
n = número de términos = 21
Por lo tanto,
Sn = 21/2 * (15 + 115)
Sn = 10,5 * (130)
Sn = 1365 minutos
= 22 horas 45 minutos
You might need:
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x + 2)2 – 16
lesser r =
greater x =
Answer:
lesser x: - 6
greater x: 2
Step-by-step explanation:
f(x) = (x + 2)² – 16
(x + 2)² – 16 = 0
(x + 2 + 4) (x + 2 - 4) = 0
(x + 6)(x - 2) = 0
roots (zero): x = -6 or x = 2
what is the y- intercept of the line with the eqaution y=-2x+4
Answer:
(0,4)
Step-by-step explanation:
When you are finding the y-intercept, the x = 0
y = -2x + 4
y = -2(0) + 4
= 0 + 4
y = 4
Meaning y = (0,4)
[tex]\sf{\underline{Given:-}[/tex]
[tex]~~~~~~~\bigstar\overbrace{The~equation~of~the~line}}[/tex]
[tex]\sf{\underline{To~find:-}}[/tex]
[tex]\bigstar{\overbrace{The~y-intercept~of~the~line}}\\\sf{\underline{Solution:-}}[/tex]
Since the equation is written in slope-intercept form (y=mx+b), then we just look at the b term, which stands for the y-intercept.
Notice that the y-intercept is a constant...
Hence, the y-intercept of the line is
[tex]\bigstar{\boxed{\pmb{4}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
What is the area, in square inches, of the shaded part of the shape?
A.110 square inches
B.48 square inches
C.140 square inches
D.80 square inches
write the equivalent fraction by division 30 by 42
Answer:
5/7
Step-by-step explanation:
5/7 is the simplified fraction for 30/42 by using the GCD or HCF method
☆15 POINTS AND MARKED BRAINLIEST IF CORRECT☆
look at the image above to view the question!
Answer:
3125 bacteria.
Step-by-step explanation:
We can write an exponential function to represent the situation.
We know that the current population is 100,000.
The population doubles each day.
The standard exponential function is given by:
[tex]P(t)=a(r)^t[/tex]
Since our current population is 100,000, a = 100000.
Since our rate is doubling, r = 2.
So:
[tex]P(t)=100000(2)^t[/tex]
We want to find the population five days ago.
So, we can say that t = -5. The negative represent the number of days that has passed.
Therefore:
[tex]\displaystyle P(-5)=100000(2)^{-5} = 100000 \Big( \frac{1}{32}\Big) = 3125 \text{ bacteria}[/tex]
However, we dealing within this context, we really can't have negative days. Although it works in this case, it can cause some confusion. So, let's write a function based on the original population.
We know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, our function is:
[tex]P(t)=A(2)^t[/tex]
After 5 days, we reach the 100,000 population. So, when t = 5, P(t) = 100000:
[tex]100000=A(2)^5[/tex]
And solving for A, we acquire:
[tex]\displaystyle A=\frac{100000}{2^5}=3125[/tex]
So, our function in terms of the original day is:
[tex]P (t) = 3125 (2)^t[/tex]
So, it becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.
Answer:
We can express the question in a exponential function
The current population is 100,000.
The population doubles each day.
The exponential function is given by: P(t)=a(r)^t
The current population is 100,000, a = 100000.
The rate is doubling, r = 2.
P(t)=100000(2)^t
As we know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, the function is:
P(t)=A(2)^t
After 5 days, the population reaches 100,000. So, when t = 5, P(t) = 100000:
100000=A(2)⁵
Now solving for A, we get
A=(100000)/(2⁵)=3125
So, the function in terms of the original day is:
P (t) = 3125 (2)^t
Hence, the initial population is 3125 bacteria.
3125 is the right answer.which expressions are equal ?
Answer:
Step-by-step explanation:
Options B and D are correct as they are equal to 1728
On a map of a fair, the Ferris wheel is located at (3, 2). The carousel is located 5 units south of the Ferris wheel. What ordered pair represents the location of the carousel?
Answer:
(3,-3)
Step-by-step explanation:
It is located 5 units south, which means it is on the y-axis line. So, you would subtract 5 from 2 (2-5) and that gives you -3.
which expression represents purely real numbers and which expression represents non-real complex number?
Incomplete question. However, I provided some explanation about non-real complex numbers.
Explanation:
In Mathematics, the term complex numbers (non-real complex numbers) in simple terms refers to numbers that containing an imaginary addition to it.
For example, the numbers 3i, 3 + 5i, 3i/4 are non-real numbers because of the addition of an imaginary part which is denoted by 'i'.
While real numbers, on the other hand, are numbers that do not include an imaginary part; they stand on their own, such as whole numbers 0, 1, 2, 3, etc, rational numbers like 3/4, etc.
What is the slope of the line
Answer:
Positive, Upward Slope.
Step-by-step explanation:
Answer:
the slope of a line shows how steep a straight line is, or the direction of a straight line
The Benton family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1/6
Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.
In AEFG, EF = 44 centimeters and FG = 12 centimeters. Which of the following best describes the possible length, in centimeters, of
AO 44
B. O 32
CO 12
D. 32 < EG < 44
Answer:
The best inequality describes the possible length of EG is 32 < EG < 56 ⇒ B
Step-by-step explanation:
In any triangle
The sum of the lengths of any two sides must be greater than the length of the third sideThe length of any side is greater than the difference between the lengths of the other two sidesIn Δ EFG
∵ EF = 44 cm
∵ FG = 12 cm
→ Find their sum and difference
∴ The sum of their length = 44 + 12 = 56 cm
∴ The difference between their length = 44 - 12 = 32 cm
→ By using the rule above
∵ EG is the third side
∴ EG < 56
∴ EG > 32
→ Write them in one inequality
∴ 32 < EG < 56
∴ The best inequality describes the possible length of EG is 32 < EG < 56
Solve for x, 3-5x=18
Answer:
X = 3
Step-by-step explanation:
18 - 3 = 15
5x = 15
divide both sides by 5
X = 3
Answer:
[tex]3 - 5x = 18 \\ - 5x = 18 - 3 \\ - 5x = 15 \\ x = \frac{15}{ - 5} \\ \boxed{x = - 3}✓[/tex]
x=-3 is the right answer.what is the answer to 5--4
Answer:
9
Step-by-step explanation:
if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9
Please Answer!
Which expression is equivalent to the given expression?
4(a−3)=
−8a
4a−12
4a−3
−4(a+3)
Answer: The answer is 4a−12
The point (4, 10) is in each scatterplot. In which one is it an outlier? On a graph, points (4, 10) and (6, 1) are outside of the cluster. On a graph, points are scattered. On a graph, point (2, 1) is outside of the cluster. On a graph, all points are within the cluster.
Answer:
A) On a graph, points (4, 10) and (6, 1) are outside of the cluster.
Answer:
A) The first option
Step-by-step explanation:
what is true of the data in the dot plot? Check all that apply.
Number of Minutes Shelly Spent Waiting for the Bus Each Morning
A dot plot going from 10 to 15. 10 has 2 dots, 11 has 4 dots, 12 has 0 dots, 13 has 3 dots, 14 has 6 dots, 15 has 1 dot.
The center is 13.
The center is 14.
The peak is at 14.
It has two clusters.
It is skewed left.
The spread is from 13 to 15.
The person waited for the bus 16 times.
Answer:
True answers
The center is 13
The peak is at 14
It has two clusters
It is skewed left
The person waited for the bus 16 times
Step-by-step explanation:
Edge2021
Answer:
A, C, d, e, g
Step-by-step explanation:
The cost of two pounds of cherries is
$8.58. What is the unit rate that describes the
cost per pound of cherries?
Answer:
since you have 2 pounds, and spend $8.58 total, divide the amount you spent, but how many pounds you bought to get the unit rate which is $4.29
Step-by-step explanation:
Answer:
$4.29 per pound
Step-by-step explanation:
(8.58 dollars)/(2 pounds) = ((8.58/2) dollars)/pound =4.29 dollars/pound
Ms. Hall found a mistake as she was grading Ethan’s paper. Each step should represent an equivalent expression. Which step shows the mistake that Ms. Hall found?
Expression: (1/2)exponet 2 x 8 – 3
Step 1:1/4 x 8 – 3
Step 2: 1/4 x 5
Step 3: 5/4
Step 4: 1/4
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.
We start by looking for common factors among the coefficients of the three terms:
45x³ + 198x² + 189x
= 9x (5x² + 22x + 21)
Now we can factor the quadratic expression inside the parentheses:
5x² + 22x + 21
= 5x² + 15x + 7x + 21
= 5x(x + 3) + 7(x + 3)
= (5x + 7) (x + 3)
The volume expression can be factored as:
45x³ + 198x² + 189x
= 9x (5x + 7) (x + 3)
Thus,
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
Learn more about prism here:
https://brainly.com/question/12649592
#SPJ2
PLEASE HELP DUE IN 30 MINS!!!
Answer:
There ya go
Step-by-step explanation:
Answer:
15/2
Step-by-step explanation:
goodluck on the rest! (:
solve for x round your answer to the nearest tenth
Find the value of x in the triangle.
67 113
293
7
Answer:
x = 67°Step-by-step explanation:
The sum of measures of angles in triangle is allways 180°
So:
x + 53° + 60° = 180° {subtract 113° from both sides}
x = 67°
Algebra 2
Factoring Polynomials
Factor the polynomial completely.
1. x3 - 2x2 – 24x
Alex has saved $30 and he earns $12 per hour. He wants to have at least $150 in his savings account. How many hours can he work?
Answer: 10
Step-by-step explanation: 120 divided by 12 = 10
−8 (1 + x) + 7x PLEASE HELP
Answer:
-8-x or -x-8 or x=-8
Step-by-step explanation:
Distribute the -8 to the (1+x)
-8-8x+7x
then add the -8x+7x
-8-x or -x-8
and if you want to solve for x
x=-8
make
x
the subject of the formula
p
+
x
=
t
Answer:
x = t - p
Step-by-step explanation:
p + x = t
subtract p from both sides.
x = t - p
what is the square root of 31
Answer:
5.567764363 or rounded off to two decimal places 5.57
Step-by-step explanation:
Calculator
Find 759 ÷ 3. PLS I NEED HELP ITS EITHER HAS A REMAINDER OR NOT ALSO GIVE ME AN ANSWER PLS DIS DUE TODAY
Answer:
253
Step-by-step explanation:
Answer:
yeah 253
Step-by-step explanation:
What tropism does this experiment represent?
The straw scrunched up and expanding represents is a representation of
Correct answer:
turgor pressure
.
can someone plz help me with the questions .it’s due in 15 mins
Answer:number 14 is 8
Step-by-step explanation:
bc 5$ off all the bottles you bye is 2 dollars so keeps on counting the you get 8
Answer:
13.-16
14.-3
Step-by-step explanation: