Answer:
1. Surveys are used to obtain specific information from a group of people. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest.
2. Experiments are used to establish cause-and-effect relationships. Scientists use them for highly-controlled tests to give/withdraw credence to some hypotheses.
Step-by-step explanation:
Surveys, when applied to human subjects, are used to obtain data from a selected sample of subjects. Surveys, which can be applied through mails, telephones, the internet, in-person, and through other means are aimed at getting the opinions, thoughts, and beliefs of the participants. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest. This data can be qualitative or quantitative.
Experiments are administered to provide support or refute a given hypothesis. They establish cause and effect relationships. Scientists use them for highly-controlled tests to give/deny credence to some hypotheses. Positive controls establish the hypothesis as true. They could be conducted in the laboratory, in the field, or through observations.
An entomologist is studying the reproduction of ants. If an ant colony started with 50 ants, and each day, their population increases by 10%, how many ants will be in the colony 5 days later? *
Step-by-step explanation: Ants are one of the most abundant insects on our planet and the reasons are their eusocial, complex societal behaviors and their ability to survive in many and various ecosystems. Like most other animal societies, reproduction is one of the core reasons why ants are so prevalent.
Acrobat Ant
Reproduction for ants is a complex phenomenon that involves finding, selecting and successfully fertilizing females to ensure that the eggs laid are able to survive and molt through the successive stages of the ant’s life cycle – larvae, pupae and adults.
Answer:
81
Step-by-step explanation:
Start: 50
After 1 day: 50 * 1.1
After 2 days: 50 * 1.1 * 1.1 = 50 * 1.1^2
After 3 days: 50 * 1.1^2 * 1.1 = 50 * 1.1^3
...
After 5 days: 50 * 1.1^5 = 80.53
Answer: 81
list the next three terms in the following sequence
1,2,4,7, 11, 16
Answer:
22, 29, 37
Step-by-step explanation:
There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.
Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one
1+0=1
1+1=2
2+2=4
4+3=7
7+4=11
11+5=16
16+6=22
22+7=29
29+8=37
22, 29, 37
What is the answer for 3x+2(4x-4)=3?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{x = 1}}}}[/tex]Step-by-step explanation:
[tex] \sf{3x + 2(4x - 4) = 3}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{3x + 8x - 8 = 3}[/tex]
Collect like terms
⇒[tex] \sf{11x - 8 = 3}[/tex]
Move 8 to right hand side and change it's sign
⇒[tex] \sf{11x = 3 + 8}[/tex]
Add the numbers
⇒[tex] \sf{11x = 11}[/tex]
Divide both sides of the equation by 11
⇒[tex] \sf{ \frac{11x}{11} = \frac{11}{11} }[/tex]
Calculate
⇒[tex] \sf{x = 1}[/tex]
Hope I helped!
Best regards!
Answer:
x=7/20
Step-by-step explanation:
you have to multiple the outside factor by number which are inside of parenthesis but the signs should be same
3x(4×)=12x
3x(4)=12
2(4x)=8x
2(4)=8
write it as an equation and find the like terms
12x-12+8x-8=3
20x-4=3
Then add 4 and divided
20x-4=3
+4 +4
20x/20=7/20
the is a fraction
x=7/20
What is the value of this expression? (the best answer receives a brainiest)
Answer:
answer is D
Step-by-step explanation:
2^4=16
16+(16-12)=20
over
(6+9)/(7-4)
15/3=5
so the new equation is 20/5=4
Answer:
D. 4
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Exponents
[tex]\frac{16 + (16 -3(4))}{(6+9)/(7-4)}[/tex]
Step 2: Parenthesis
[tex]\frac{16 + (16 -12)}{15/3}[/tex]
Step 3: Parenthesis
[tex]\frac{16 + 4}{15/3}[/tex]
Step 4: Divide
[tex]\frac{16 + 4}{5}[/tex]
Step 5: Add
[tex]\frac{20}{5}[/tex]
Step 6: Divide
4
calculate 6/√2 and express it in form of a√b
Answer:
[tex]3 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] \frac{6}{ \sqrt{2} } = \frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} [/tex]
We can't have a fraction that has a number under square root as it's denominator. So we will have to rationalize it, which means we will multiply the numerator and also the denominator by the number that is under the square root.
Hope this helps ;) ❤❤❤
Answer:
[tex]\boxed{\sf 3\sqrt{2}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{6}{\sqrt{2} }[/tex]
[tex]\sf Multiply \ both \ numerator \ and \ denominator \ by \ \sqrt{2}[/tex]
[tex]\displaystyle \frac{6 \times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }[/tex]
[tex]\displaystyle \frac{6\sqrt{2} }{2 }[/tex]
[tex]\sf Simplify[/tex]
[tex]3\sqrt{2}[/tex]
Mr. Lee is 32 years older than his son. Five years later, Mr. Lee’s age will be 5 times that of his son. How old is Mr. Lee now?
Answer: mr lee is 37 year .
Step-by-step explanation:32+5=37
Answer:
Mr. lee is 35 yrs old right now. his son 3
Step-by-step explanation:
after 5 yrs, his son will be 8 and lee 40, 8×5=40
The ratio of two numbers is 2:3 and the sum of their cubes is 945,what are the two numbers. let the 1st no be=2x and 2nd=3x (2x)^3 + (3x)^3=945
Answer:
The first number is 6, the second number is 9Step-by-step explanation:
a:b = 2:3
a = 2x - first number
b = 3x - second number
a³ + b³ = 945
[tex](2x)^3 + (3x)^3=945\\\\8x^3 +27x^3=945\\\\35x^3 = 945\\\\x^3=945:35\\\\x^3=27\\\\ x^3=3^3\\\\x=3\\\\\\a=2\cdot3 = 6\\\\b=3\cdot3=9[/tex]
A manufacturing company is expected to pay a dividend of br. 1.25 per share at the end of the year (D1=br.1.25). The stock sells for br. 32.50 per share and its required rate of return is 10.5%. The dividend is expected to grow at some constant rate forever. What is the growth rate
Answer:
the equilibrium expected growth rate is 6.65%
Step by step Explanation:
We were given stock sold per share of $32.50
Dividend per share =$1.25
Required Return rate = 10.5%
Then we can calculate Percentage of Dividend for share as;
dividend of br. 1.25 per share at the end of the year (D1=br.1.25)
= 1.25×100= 125
Let the dividend percentage = y
stock sold per share × y= 125
125= 32.50y
y = 125/32.50
y= 3.85
y= 3.85*100%
Then the Dividend percentage = 3.85%
Growth rate=(required rate of return -Dividend percentage)
= 10.5 - 3.85 = 6.65
Therefore, the equilibrium expected growth rate is 6.65%
If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0
It depends on how b approaches 0
If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.
On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.
The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.
On the first day in each month, Enid deposited $4 into her bank account and Jim deposited $3 into his. They opened these accounts on May 15, 1990. On December 31, 1990, they each had $72 dollars in their account. How much did each person deposit on May 15?
Answer:
The amount of money in Enid bank account can be written as a linear equation.
Ye = Xe + $4*m
where Ye is the money that Enid has in her account, m is the number of months that have passed since she opened it, and Xe is the initial deposit.
For Jim, the equation is similar:
Yj = Xj + $3*m
where Yj and Xj are similar as above.
Between May 15 and December 31 of the same year, we have 7 months (where i am counting December because the deposit is made in the first day of the month).
Then we have that:
Ye = $72 = Xe + $4*7 = Xe + $28
Xe = $72 - $28 = $44
So in May 15, Enid deposited $44.
For Jim we have:
Yj = $72 = Xj + $3*7 = Xj + $21
Xj = $72 - $21 = $51
So in May 15, Jim deposited $51.
The test scores of students in a math class are 46, 40, 50, 43, 35, 41, 50, 42, 38, and 48. What is the mean of this set of data? A. 35.6 B. 40 C. 43.3 D. 50
Answer:
C. 43.3
Step-by-step explanation:
The mean or average of a data set can be found by adding up all the values and dividing by the number of values.
1. Add up all the values
The values: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48
Add them together: 46 +40+50+ 43+35+41+50+ 42+38+48
433
2. Divide by the number of values
Count how many numbers are in the set of data.
Data Set: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48
10 values
Divide 433 by 10
433/10
43.3
The mean of the set of data is 43.3 and the correct answer is C.
Answer:
43.3
Step-by-step explanation:
I added up all the numbers and divided by the number of numbers.
benifits of social media when reporting about gbv
Step-by-step explanation:
Coordinate referrals and advocate with partner organizations supporting GBV survivors to provide confidential services to clients, in accordance with their wishes, GBV guiding principles and informed consent.
Esmereldas family went out to dinner paying 20% tip at the end of the meal. Their credit card was charged $51.00. What was the amount on the bill without the tip
Answer:
42.50
Step-by-step explanation:
bill + tip = total bill
The tip is based on the bill
tip = bill * 20%
tip = bill * .20
Replace in the original equation
bill + .20 bill = total bill
Combine like terms
1.20 bill = total bill
The total bill was 51 dollars
1.20 bill = 51
Divide each side by 1.20
1.20 bill / 1.2 = 51/ 1.2
bill =42.50
Answer:
$42.50
Step-by-step explanation:
If the total was $51 with the tip, and you know the tip was 20%, you can set up an equation and solve:
0.2x+x=51
1.2x=51
x=42.5
Therefore, the bill (w/o tip) was $42.50
p.s.Please give me brainliest. Thank you! :)
you went to the restaurant and you paid $28 for food. you decide to tip the waiter 15% and pay tax 10%. what was the final bill after tip and tax?
==================================================
Work Shown:
15% of 28 = 0.15*28 = 4.20 is paid as a tip
10% of 28 = 0.10*28 = 2.80 is paid as tax
28+4.20+2.80 = 35 dollars is the final bill after both tip and tax are included.
Please Help ! File is attached
Answer:
Domain: 0 </= x </= 20
Range 0 </= y </= 10
Step-by-step explanation:
Domain is the x values, so 0 to 20, and range is the y values, so 0 to 10
If the equation of a line is y = -2/3x + 1/3, what is the slope and y-intercept?
Step-by-step explanation:
Hey, there!!!
Let me explain you very simply,
The equation is;
y= -2/3 x +1/3
Now, we know the equation of a st.line in slope intercept form is,
y= m.x + c
now, comparing the given equation with y= m.x + c. we get,
m= -2/3
and y-intercept = 1/3.
Hope it helps...
Just need help
the equations are above
Answer:
6×4p=24p
15a÷3=5a
3t×8y=24ty
24ef÷12e=2f
-4fx-5px-3 =-x(4f+5p)-3
-9abc÷3a=-3bc
Two similar rectangles have a corresponding sides in the ratio 10:3 find the ratio of their areas
Hello!
Answer:
[tex]\huge\boxed{100 : 9}[/tex]
If corresponding side lengths are in the ratio 10 : 3, the ratio of their areas will simply be the square (area is 2-dimensional).
Therefore:
10 : 3 ⇒ (10)² : (9)²
100 : 9 is the ratio of the areas.
I hope this helped you! :)
Ratio of the corresponding sides of rectangle
➾ 10 : 3
Areas will by in the ratio of 10² : 3²
➾ 100 : 9
Explanation :let first rectangles sides be 10 l and 10 b ➾ The area will be 100 × l × b
So second rectangles sides be 3 l and 3b
➾ The area will be 9 × l × b
So the ratio of areas
➾100lb : 9lb
➾ 100 : 9
Ms. Brown needs 8 eggs in order to make 2 cakes. What is the total number of cakes she could make with 24 eggs?
Answer:
Ms. Brown would need 4 eggs in order to make 1 cake, so if she has 24 eggs you would divide 24 by 4, which is 6. So, Ms. Brown could make 6 cakes with 24 eggs.
Hope this helps!
OI
If sec 50° = a and cot 40° = b, find the value of a2 - b2.
Answer:
a² - b² = 1
Step-by-step explanation:
The given parameters are;
sec 50° = a
cot 40° = b
We note that sec(θ) = 1/cos(θ) and cot(θ) = 1/tan(θ)
a² - b² = sec²50° - cot²40°
Given that sec(90 - θ) = cosec(θ) where; cosec(θ) = 1/sin(θ), we have;
sec²50° - cot²40° = sec²(90° - 50°) - cot²40° = sec²(40°) - cot²40°
sec²(40°) - cot²40° = cosec²(40°) - cot²40°
Also we have;
cosoc²(θ) = 1 + cot²(θ)
Therefore, we have;
cosoc²(40°) - cot²40° = 1 + cot²(40°) - cot²40° = 1
Therefore, where sec(50°) = a and cot(40°) = b, the value of a² - b² is 1.
Find value of k
from below eqn
[tex] {2x}^{2} + 7xy + 3y {}^{2} - 5x - 5y + k = 0[/tex]
Answer:
k=10BY DPING PROCESS IT BECOME
©
Christine went shopping and bought each of her ten nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $164.94 on the
gifts. How many videos and how many CDs did she buy
Answer:
She bought 2 videos and 8 CDs.
HELP ASAP
The points $(-3,2)$ and $(-2,3)$ lie on a circle whose center is on the $x$-axis. What is the radius of the circle?
Answer:
[tex]radius = \sqrt{13}[/tex] or [tex]radius = 3.61[/tex]
Step-by-step explanation:
Given
Points:
A(-3,2) and B(-2,3)
Required
Determine the radius of the circle
First, we have to determine the center of the circle;
Since the circle has its center on the x axis; the coordinates of the center is;
[tex]Center = (x,0)[/tex]
Next is to determine the value of x through the formula of radius;
[tex]radius = \sqrt{(x_1 - x)^2 + (y_1 - y)^2} = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex]
Considering the given points
[tex]A(x_1,y_1) = A(-3,2)[/tex]
[tex]B(x_2,y_2) = B(-2,3)[/tex]
[tex]Center(x,y) =Center (x,0)[/tex]
Substitute values for [tex]x,y,x_1,y_1,x_2,y_2[/tex] in the above formula
We have:
[tex]\sqrt{(-3 - x)^2 + (2 - 0)^2} = \sqrt{(-2 - x)^2 + (3 - 0)^2}[/tex]
Evaluate the brackets
[tex]\sqrt{(-(3 + x))^2 + 2^2} = \sqrt{(-(2 + x))^2 + 3 ^2}[/tex]
[tex]\sqrt{(-(3 + x))^2 + 4} = \sqrt{(-(2 + x))^2 + 9}[/tex]
Eva;uate all squares
[tex]\sqrt{(-(3 + x))(-(3 + x)) + 4} = \sqrt{(-(2 + x))(-(2 + x)) + 9}[/tex]
[tex]\sqrt{(3 + x)(3 + x) + 4} = \sqrt{(2 + x)(2 + x) + 9}[/tex]
Take square of both sides
[tex](3 + x)(3 + x) + 4 = (2 + x)(2 + x) + 9[/tex]
Evaluate the brackets
[tex]3(3 + x) +x(3 + x) + 4 = 2(2 + x) +x(2 + x) + 9[/tex]
[tex]9 + 3x +3x + x^2 + 4 = 4 + 2x +2x + x^2 + 9[/tex]
[tex]9 + 6x + x^2 + 4 = 4 + 4x + x^2 + 9[/tex]
Collect Like Terms
[tex]6x -4x + x^2 -x^2 = 4 -4 + 9 - 9[/tex]
[tex]2x = 0[/tex]
Divide both sides by 2
[tex]x = 0[/tex]
This implies the the center of the circle is
[tex]Center = (x,0)[/tex]
Substitute 0 for x
[tex]Center = (0,0)[/tex]
Substitute 0 for x and y in any of the radius formula
[tex]radius = \sqrt{(x_1 - 0)^2 + (y_1 - 0)^2}[/tex]
[tex]radius = \sqrt{(x_1)^2 + (y_1)^2}[/tex]
Considering that we used x1 and y1;
In this case we have that; [tex]A(x_1,y_1) = A(-3,2)[/tex]
Substitute -3 for x1 and 2 for y1
[tex]radius = \sqrt{(-3)^2 + (2)^2}[/tex]
[tex]radius = \sqrt{13}[/tex]
[tex]radius = 3.61[/tex] ---Approximated
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12).
The equation of the parabola is y =
x2 +
x +
.
Answer:
Step-by-step explanation:
Hello, we know that if the equation is
[tex]y=a(x-h)^2+k[/tex]
Then the vertex is the the point (h,k)
Here, the vertex is the point (-2,-20) so we can write, a being a real number that we will have to find,
[tex]y=a(x-(-2))^2-20=a(x+2)^2-20[/tex]
On the other hand, we know that the y-intercept is (0,-12) so we can write
[tex]-20=a(0+2)^2-12=4a-12\\\\\text{We add 12 and we divide by 4.}\\\\4a = -20+12=-8\\\\a = \dfrac{-8}{4}=-2[/tex]
So the equation becomes.
[tex]\boxed{y=-2(x+2)^2-12}[/tex]
And we can give the standard form as below.
[tex]y=-2(x+2)^2-12=-2(x^2+4x+4)-12\\\\=-2x^2-8x-8-12 \ <=>\\\\\boxed{y=-2x^2-8x-20}[/tex]
Thank you.
Answer:
this is wrong it needs to be 2 positives
Step-by-step explanation:
Find the length of LM if L is the midpoint of NM. NL = 3x + 1, LM = 8x - 24.
Answer:
LM = 16
Step-by-step explanation:
From the question given:
L is the midpoint of NM
NL = 3x + 1
LM = 8x - 24
LM =?
Next, we shall determine the value of x.
This can be obtained as follow:
Since L is the midpoint of NM, it means that NL and LM are equal i.e
NL = LM
Thus, we can obtain the value of x as follow:
NL = 3x + 1
LM = 8x - 24
NL = LM
3x + 1 = 8x - 24
Collect like terms
3x - 8x = - 24 - 1
-5x = - 25
Divide both side by - 5
x = -25/-5
x = 5
Finally, we shall determine the length of LM as follow:
LM = 8x - 24
x = 5
LM = 8(5) - 24
LM = 40 - 24
LM = 16
Therefore, the length of LM is 16
Becky's ship is 43 miles west all the harbor.
Clyde's yacht is a5 miles north from Beery. How
far is Clyde from the Harbor? Show your work.
С
x= Harbor
25
B.
43
Answer:
Clyde is 49.74 away from the harbor
Step-by-step explanation:
Here in this question, we are interested in knowing the distance of Clyde from the harbor.
The key to answering this question is having a correct diagrammatic representation. Please check attachment for this.
We can see we have the formation of a right angled triangle with the distance between Clyde’s ship and the harbor the hypotenuse.
To calculate the distance between the two, we shall employ the use of Pythagoras’ theorem which states that the square of the hypotenuse is equal the sum of the squares of the two other sides.
Let’s call the distance we want to calculate h.
Mathematically;
h^2 = 25^2 + 43^2
h^2 = 625 + 1849
h^2 = 2474
h = √2474
h = 49.74 miles
a line segment lies on the line xy it has endpoints z and v and passes through the point W. which of the following is the correct name for this line segment?
A) VZ
B) VW
C) XY
D) ZW
How forgot how to do this problem. I will give brainliest!
Answers
2x+3y=4
A=2 , B=3 , C=4
step by step:
2x+3y=2 the slope is -2/3
3y=-2x+2
y=-2/3 x+2
parallel line have the same slope: -2/3
the equation of parallel line that passes through point (2,0) y=mx+b
find b
2(2)+3(0)=b
4+0=b
b=4
the equation will be
2x+3y=4
to check : graph the equations:
Suppose a pack of candy bars has 4 bars. Each bar weighs 5.78 ounces. How much does the pack weigh?
Answer:
23.12 ounces
Step-by-step explanation:
What is the solution set to the inequality?
Answer:
Option (2)
Step-by-step explanation:
To find the solution set of the given inequality we will follow the following steps.
1). Convert the inequality into an equation.
2). Find the solutions from the equation.
3). Check these solutions and intervals on a number line.
Given inequality is 5(x - 2)(x + 4) > 0
Step 1. Equation for given inequality is,
5(x - 2)(x + 4) = 0
Step 2. Solutions for the given equation will be,
(x - 2) = 0 ⇒ x = 2
(x + 4) = 0 ⇒ x = -4
Step 3. Therefore, there will be two critical points on the number line,
x = 2, x = -4
Now we will check the solutions of the given inequality in the given intervals,
x < -4, -4 < x < 2 and x > 2
For x < -4,
Let the solution is x = -5
5(x + 4)(x - 2) = 5(-5 + 4)(-4 - 2)
= 30 > 0
Therefore, x < -4 will be the solution area of the inequality.
For -4 < x < 2,
Let the solution is x = 0
5(x + 4)(x - 2) = 5(0 + 4)(0 - 2)
= -40 < 0
Therefore, -4 < x < 2 will not be the solution set for the given inequality.
For x > 2,
Let the solution is x = 3
5(x + 4)(x - 2) = 5(3 + 4)(3 - 2)
= 35 > 0
Therefore, x > 2 will be the solution area of the inequality.
Summarizing all steps we find that the solution set of the inequality is,
{x | x < -4 Or x > 2}
Option (2) will be the answer.