Answer: A
Step-by-step explanation:
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]
Help now plsssssssssssssssssssssss
Answer:
Your answer is 5009.2
Upvote it. Welcome
Answer:
5009,206
Step-by-step explanation:
Hope this helped!
Factor completely
6z^4 - 14z^3- 40z^2
Answer:
Step-by-step explanation:
2z^2(3z^2 - 7z - 20)
2z^2(3z + 5)(z - 4)
Y=1/3x+14 in point slope form
Answer:
ok so.. whats the question?
Step-by-step explanation:
Answer:
y = 1/3x + 14
Step-by-step explanation:
The REASON THAT IS AN SLOPE INTERCEPT FORM IS BECAUSE IT IS ALREADY IN SLOPE INTERCEPT FORM.
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
I need help quick I can’t fail I need a good grade pls help
Answer:
ok I will try and tell you
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.
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
2. Simplify: 12(3y + x)
Answer:
36y+12x
Step-by-step explanation:
Answer:
36y + 12x
Step-by-step explanation:
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
WILL MARK BRAINLIEST
Answer:
[tex]3^{4}[/tex], [tex]9^{2}[/tex]
Step-by-step explanation:
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
Solve the quadratic x²-8x+15=0.
Answer:
x = 3 or x = 5
Step-by-step explanation:
x2-8x+15 = 0
(x-3)(x-5) = 0
What is the measure of the angle
Protractor tool
Write the equation of each circle
Center (-1,0) and containing the point (2, -4)
A.(x + 1)2 + y2 = 25
B.x2 + (y2 +1)= 25
Answer:
The equation of the circle is [tex](x + 1)^2 + y^2 = 25[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle of centre [tex](x_c,y_c)[/tex] has the following format:
[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]
In which r is the radius.
Center (-1,0)
This means that [tex]x_c = -1, y_c = 0[/tex]. So
[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]
[tex](x - (-1))^2 + (y - 0)^2 = r^2[/tex]
[tex](x + 1)^2 + y^2 = r^2[/tex]
Finding the radius:
Distance between the radius and the centre and a point of the circle. In this case, point (2,-4). Using the formula for the distance between two points:
[tex]r = \sqrt{(2-(-1))^2+(-4-0)^2} = \sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex]
So, the equation of the circle is:
[tex](x + 1)^2 + y^2 = 5^2[/tex]
[tex](x + 1)^2 + y^2 = 25[/tex]
Can someone help me please answer my question.
Answers
A.6 inches
B.8 inches
C.10 inches
D.12 inches
Jane cloaked in to world on Tuesday at 7:30 am and went to her lunch at 11:30 am. She returned from her lunch break at 12:30 pm and clocked out of work for the day at 4:00pm. How many hours did she work on Tuesday?
Answer:
7 hours 30 minutes
Step-by-step explanation:
Jane clocks into work at 7:30 and goes to lunch at 11:30. (4 hours)
4 hours so far.
takes 1 hour break and returns for 12:30.
She finishes at 4. Time from 12:30 to 4 is (3h30)
3h30 + 4 = 7h30m
Check yourself ^
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:
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)
start time:11:33
End time:?
Elapsed time:4 hrs 55 mins
Answer:
4:28
Step-by-step explanation:
11:33+ 4hrs and 55 min
12:28+4hrs
4:28
Please help! (giving brainliest)
luca: [tex]5\cdot \frac{1}{3}=\frac{5\cdot \:1}{3} =\frac{5}{3}[/tex] 1 remainder 2
bailey: [tex]6\cdot \frac{4}{5}=\frac{6\cdot \:4}{5} =\frac{24}{5}[/tex] = 4 remainder 4
corin: [tex]3\frac{1}{4}\cdot \:2\frac{1}{3} =\frac{13}{4}\cdot \:2\frac{1}{3} =\frac{13}{4}\cdot \frac{7}{3} =\frac{13\cdot \:7}{4\cdot \:3} =\frac{91}{4\cdot \:3} =\frac{91}{12} =7\frac{7}{12}[/tex]
sabra: [tex]1\frac{4}{5}\cdot \frac{1}{2} =\frac{9}{5}\cdot \frac{1}{2} =\frac{9\cdot \:1}{5\cdot \:2} =\frac{9}{5\cdot \:2} =\frac{9}{10}[/tex] 0.9
So D. is the right answer.
Hope I helped you!Success!
c = 18n + 13
i don’t understand it
thats not possible do you have options or another equation...?? because there is 2 unknown variable
To investigate whether or not sending text messages while driving impacts driving ability, we had 100 participants (50 men and 50 women) drive an obstacle course under one of the following conditions: 1) no texting while driving, 2) sending five text messages while driving, or 3) sending 10 text messages while driving. We measured the accuracy with which the subjects drove the obstacle course from a scale of 1 to 10 (1 = poor and 10 = excellent).We are testing the effect of sending text messages at three different _____.
a. treatments
b. levels
c. factors
d. None of the above
Answer:
A - treatments
Step-by-step explanation:
We are told the 100 participants were required to drive under 1 of the 3 conditions below which are;
- no texting while driving.
- sending five text messages while driving
- sending 10 text messages while driving
In experimental a research, these 3 conditions are referred to as treatments because they are used to derive an experimental result.
486.664946274 + 541.24664245567 =
Answer:
the answer is 1027.91159
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 .Evaluate 3(c + d) if c = 8 and d = -5
Please help for brainliest.
Answer:
its C
Step-by-step explanation:
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
What is the slope of a line that passes through the points (-3, 2) and (-6, 5)?
A. -3
B. -1
C. 1/3
D. 1