Answer:
3 x 7 x 7 x 7 x 7
= 3 x [tex]7^{4}[/tex]
The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P0 has doubled in 3 years, how long will it take to triple? (Round your answer to one decimal place.)
Answer:
4.75 years are required to triple the population
Step-by-step explanation:
As we know
[tex]\frac{dP}{dt} = P\\[/tex]
Integrating both the side with respect to t we get
[tex]ln P = kt + c_1\\P = e^{kt + c_1}\\P = Ce^{kt}[/tex]
At t = 0, P = P0
[tex]2 P_0 = P_0 * e ^{3k}\\2 = e ^{3k}\\ln 2 = 3k\\k = 0.231\\[/tex]
substituting K value in main equation, we get -
[tex]P = P_0 * e^{0.231 * t}\\3P_0 = P_0 * e^{0.231 * t}\\3 = e^{0.231 * t}\\ln 3 = 0.231 * t\\t = 4.75[/tex]
4.75 years are required to triple the population
The perimeter of a rectangle is 32. The width is four less than the length. Find the length of the rectangle.
Step-by-step explanation:
all the explanation is in the photo
The Gallup-Healthways Well-Being Index is a survey that follows trends of U.S. residents on a regular basis. There are six areas of health and wellness covered in the survey: Life Evaluation, Emotional Health, Physical Health, Healthy Behavior, Work Environment, and Basic Access. Identify the type of data obtained from each question used in this survey: qualitative, quantitative discrete, or quantitative continuous.
1) Do you have any health problems that prevent you from doing any of the things people your age can normally do?
a) qualitative.
b) quantitative discrete.
c) quantitative continuous.
2) During the past 30 days, for about how many days did poor health keep you from doing your usual activities?
a) qualitative.
b) quantitative discrete.
c) quantitative continuous.
3) In the last seven days, on how many days did you exercise for 30 minutes or more?
a) qualitative.
b) quantitative discrete.
c) quantitative continuous.
4) Do you have health insurance coverage?
a) qualitative.
b) quantitative discrete.
c) quantitative continuous.
Answer:
1) Qualitative
2) Quantitative discrete
3) Quantitative discrete
4) Qualitative
Step-by-step explanation:
Qualitative -
It is a type of Nominal data , the values obtained from this is either Yes or No.
Quantitative discrete -
In this type , the data is finite and countable ( it only takes whole number Like 11 , 45, 60 etc.)
Quantitative continuous -
In this type of data , data values can take any value (with in a range Like 20.3 , 15.5 etc.)
1) Do you have any health problems that prevent you from doing any of the things people your age can normally do?
a) qualitative.
b) quantitative discrete.
c) quantitative continuous.
2) During the past 30 days, for about how many days did poor health keep you from doing your usual activities?
a) qualitative.
b) quantitative discrete.
c) quantitative continuous.
3) In the last seven days, on how many days did you exercise for 30 minutes or more?
a) qualitative.
b) quantitative discrete.
c) quantitative continuous.
4) Do you have health insurance coverage?
a) qualitative.
b) quantitative discrete.
c) quantitative continuous.
if a function f is defined such that f(x+3) = f (x) + f(3) show that f(-3) = -f(3)
Answer:
[tex]Solution,\\f(x+3)=f(x)+f(3).......(1)\\Put~x=0~in~eq^n~(1),\\f(0+3)=f(0)+f(3)\\or, f(3)=f(0)+f(3)\\or, f(0)=0.........(2)\\Now,\\Put~x=-3~in~eq^n(1),\\f(-3+3)=f(-3)+f(3)\\or, f(0)=f(-3)+f(3)\\From~eq^n(2),\\0 = f(-3)+f(3)\\or, f(-3)=-f(3)~proved[/tex]
Classify the following triangle as acute, obtuse, or right.
150
80%
O A. Obtuse
O B. Acute
O C. Right
O D. None of these
I need help quick I can’t fail I need a good grade pls help
Answer:
ok I will try and tell you
A, B, C and D form the vertices of a parallelogram
AD = 10.3cm, AB = 15.5cm and BAD = 63°
Find the area of the parallelogram. Round to 1 DP
The diagram is not drawn accurately.
AB=8.7 cm. Work out the length of BC. ... 1. Adi. Diagram NOT accurately drawn. POR is a triangle. Angle Q = 90° ... Give your answer correct to 1 decimal place. ton o. Ady ... Ad. POR is a right-angled triangle. PR = 12 cm. OR = 4.5 cm. Angle PRO = 90°. ... AB= 7 cm. BC = 12 cm. Angle BAD= 65°. Calculate the length of AC.
3⁷×3-⁴ I need help asap!
Hope it helps
Have a good day Ahead
Answer:
the answer will be 27
Step-by-step explanation:
What is the measure of the angle
Protractor tool
A research group is interested in gauging perceptions about health club memberships among health club members. Specifically, they wish to determine the percentage of monthly paying members in the United States that believe health club memberships are not too expensive. They listed the members of the health club located nearby in alphabetical order and took every tenth member until they succeeded in contacting 150 members. What kind of sampling method have they used? Choose the correct answer below.
A. Cluster sampling
B. Multistage sampling
C. Stratified random sampling
D. Systematic sampling
Answer:
D. Systematic sampling
Step-by-step explanation:
Systematic sampling is a type of probability sampling method in which sample members of a large population are selected according to a random starting position and a constant, periodic interval. This interval, called the sample interval, is calculated by dividing the population size by the desired sample size.so correct option is D. Systematic sampling .Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start with rain clouds in the air, 20% of all days start with clouds in the air, and rain only typically occurs on 1 out of every 10 days, what is the probability that it will rain today and ruin your picnic
Answer:
0.25 = 25% probability that it will rain today and ruin your picnic
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Cloudy skies
Event B: Rain
20% of all days start with clouds in the air
This means that [tex]P(A) = 0.2[/tex]
50% of rainy days start with rain clouds in the air
50% of 10%. So
[tex]P(A \cap B) = 0.5*0.1 = 0.05[/tex]
What is the probability that it will rain today and ruin your picnic
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25[/tex]
0.25 = 25% probability that it will rain today and ruin your picnic
Alicia says that 6 ÷ 2 + 5 is the same as 5 + 6 ÷ 2. Is Alicia correct or incorrect? Explain.
Answer:
alicia is right
Step-by-step explanation:
if u divide 6 by 2 that would be 3 and then add 5 = 8. If you do the same with the next equation it still = 8 bc pemdas so divide first
Answer:
She is correct.
Step-by-step explanation:
6 ÷ 2 + 5=
6 ÷ 2=3
3+5=8
5 + 6 ÷ 2=
6 ÷ 2=3
3+5=8
Help now plsssssssssssssssssssssss
Answer:
Your answer is 5009.2
Upvote it. Welcome
Answer:
5009,206
Step-by-step explanation:
Hope this helped!
Simply the expression 50 - 2 (6 + 1)
Answer:
36
Step-by-step explanation:
Answer: 36
Step-by-step explanation: Good luck!!
50 - 2(6+1)
50 - 2(7)
50 - 14
36
Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.) 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 (a) Find the percentile of 37. th percentile
Answer:
34.5
Step-by-step explanation:
Given the data:
X : 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77.
The 37th Percentile :
37/100(n + 1)th term
n = sample size = 32
Therefore,
0.37(32 + 1)th term
0.37(33)th term = 12.21 th term
(12th + 13th) term ÷ 2
(33 + 36) / 2
69 / 2
34.5
The 37th percentile is 34.5
Can someone help me find the value of N in the triangle and round the answer to two decimal places
Answer:
n ≈ 8.54
Step-by-step explanation:
Reference angle = 30°
Opposite side = n
Adjacent side = 14.8
Apply TOA, which is:
Tan 30 = opp/adj
Tan 30 = n/14.8
Multiply both sides by 14.8
14.8×tan 30 = n
8.54478398 = n
n ≈ 8.54 units (to 2 dp)
Thirty security personnel need to be hired. They will work one week on and one week off for 20 hours per week. If they are paid $15/hour, what is the security labor cost for a four-week month?
Answer:
$18,000
Step-by-step explanation:
Step 1.
Figure out how much it costs to hire one security personal for a month
2×20×15
=600
$600 per person per month
Step 2.
Multiply that number by the no. of people needed to be hired
600×30
=18000
∴ The security labor cost for a four-week month is $18,000
Simplify (3x2-5x-6) - (5x2+4x+4)
Answer:
=−2x^2−9x−10
Step-by-step explanation:
would you like an explantion or are you good
is 1.75 greater than 1.5
Yes, the fraction 1.75 is greater than the 1.5.
What are fraction numbers?In mathematics, a fraction is a numerical value that expresses a portion of a total. The term "whole" can refer to any number, a certain value, or an object. The fraction symbol is written as p/q. For instance, 1/4, 1/2, 3/4, and so forth.
Two whole numbers (the fraction terms) separated by a horizontal line are used to calculate the fractional numbers (the fraction line).
In this Question, the fraction is represented as a decimal number. Since
the number before the decimal is the same. Thus we will compare the value of the number that is after the decimal. here we can see 75 is greater than 50.
Therefore, It is true that the fraction 1.75 is larger than 1.5.
Learn more about fraction numbers here:
https://brainly.com/question/29964611
#SPJ2
habitantes de dos pequenas comunidades harán una obra de drenaje que
beneficia a todos. El costo de los materiales necesarios asciende a 360,000.00
Se decidió que las aportaciones sean proporcionales al numero de habitantes de
da comunidad. En la comunidad A hay 120 habitantes; en la comunidad B 240
y en la comunidad C 360
¿Con cuánto debe cooperar cada comunidad?
¿Cuál es la aportación por persona en las tres comunidades?
Answer:
La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.
Step-by-step explanation:
Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:
120 + 240 + 360 = 720
C = 1/2 x 360,000 = 180,000
B = 1/3 x 360,000 = 120,000
A = 1/6 x 360,000 = 60,000
Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.
A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:
360,000 / 720 = 500
Así, cada comunidad aportará $500 por persona.
Simplify (4j - 3.1c +5) + ( -7 - 4j - 0.9c)
Choose Yes or No to tell if the number 30 will make each equation true.
270 ÷ □ = 9
Choose...
1,200 ÷ □ = 400
Choose...
9,000 ÷ □ = 300
Choose...
600 ÷ □ = 20
Choose...
(will mark brainiest and 5 points pls answer its for a test due in 20 min).
Answer:
1. Yes
2. No
3. yes
4. yes
Which pairs show equivalent expression
Hey blink!!!!!!! second one is your answer
2. "The quotient of a number and 4"
Answer:
Step-by-step explanation:
let n= number, the quotient of a number and 4 is
n/4
What is the distance between the points (-2, 1) and(1,3) ?Round your answer to the nearest tenth
To answer this question we're going to need to use the distance formula, which is
d = √((x2 - x1)2 + (y2 - y1)2)
We are given two points:
(x1, y1) = (-2, 1)
(x2, y2) = (-5, 3)
d = √((-5 - (-2))2 + (3 - 1)2)
= √((-3)2 + (2)2)
= √(9 + 4)
= √(13)
≈ 3.6056
Since it says to round to the nearest tenth, the distance between the 2 points is
3.6 units
d=3.6
A paper company produces 2,985 notebooks in 3 days. How many notebooks can it produce in 11 days?
Answer:
10080
Step-by-step explanation:
2985÷3=995×11=10080
Answer:
It can produce 32,835 in 11 days.
Step-by-step explanation:
2,985 x 3 = 8,955
2,985 x 3 = 8,955
2,985 x 3 = 8,955
If you add another three, that'll be 12, so, we'll multiply 2,985 x 2.
2, 985 x 2 = 5,970
Now, Add all of those 4 numbers together,
8,955 + 8,955 + 8,955 + 5,970 = 32,835
I need to know this please answer asap
Answer:
y=-1/2x+1
Step-by-step explanation:
Help me pls pls pls
Help me out with this question please I need help ✏️✏️
Answer:
Step-by-step explanation:
The measures of the angles are 2x, 5x, and 5x.
2x+5x+5x = 180°
12x = 180°
x = 15°
2x = 30°
5x = 75°
The ratio of the angles are 30:75:75
Baker sammy helppppp
Answer:
[tex]a = 8.5t[/tex]
[tex]y = 32.55[/tex]
Step-by-step explanation:
Solving (9): The equation of the table
We start by calculating the slope (m)
[tex]m = \frac{a_2 - a_1}{t_2 - t_1}[/tex]
Where:
[tex](t_1,a_1) = (15,127.5)[/tex]
[tex](t_2,a_2) = (16.5,140.25)[/tex]
[tex]m = \frac{140.25 - 127.5}{16.5 - 15}[/tex]
[tex]m = \frac{12.75}{1.5}[/tex]
[tex]m = 8.5[/tex]
The equation is then calculated using:
[tex]a = m(t - t_2) + a_2[/tex]
So, we have:
[tex]a = 8.5(t - 16.5) + 140.25[/tex]
Open bracket
[tex]a = 8.5t - 140.25 + 140.25[/tex]
[tex]a = 8.5t[/tex]
Solving (10):
[tex]4.8y = 156.24[/tex]
Required
Find x
Divide both sides by 4.8
[tex]y = 32.55[/tex]