Answer:
The purpose of a problem statement is to: 1 Introduce the reader to the importance of the topic being studied. ... 2 Anchors the research questions, hypotheses, or assumptions to follow. ... 3 Place the topic into a particular context that defines the parameters of what is to be investigated
Step-by-step explanation:
Here help my sis needs help
Let's complete
(2,8)(3,12)(4,16)Rule following=4n
(5,20)(6,24)#2
The rule is 4n
#3
Let's see
4n=48n=12ydthe diagonal of a rectangular garden measures 111/4m while it's width measures 63/4m . Calculate the perimeter of the garden
Answer:
Step-by-step explanation:
The diagonal of a rectangular garden forms a hypotenuse with the width and length sides. We can use the Pythogorean Theorem to calculate the remaining side.
Let W, L, and H stand for the Width, Length, and Hypotenuse, all in meters.
W^2 + L^2 = H^2
Enter the data:
(63/4)^2 + L^2 = (111/4)^2
248.06 + L^2 = 770.06
L^2 = 522
L = 22.847 meters
Perimeter is 2W + 2L
Perimeter = 2(63/4) + 2(22.847)
Perimeter = 77.19 meters
x= 1+ root 2. find (x-1/x)³
I m in grade 9
Answer:
2√2 / (5√2 + 7)
Step-by-step explanation:
Given :
x = 1 + √2Expanding
(x - 1 / x)³(1 + √2 - 1)³ / (1 + √2)³(√2)³ / (1 + √2)³2√2 / 1 + 2√2 + 3(1)(√2)(1 + √2)2√2 / 1 + 2√2 + 3√2 + 62√2 / (5√2 + 7)Answer:
[tex]-14\sqrt{2}+20[/tex]
Step-by-step explanation:
[tex]\textsf{Substituting}\quad x=1+\sqrt2\quad\textsf{into}\quad\left(\dfrac{x-1}{x}\right)^3[/tex]
[tex]\implies \left(\dfrac{(1+\sqrt2)-1}{(1+\sqrt2)}\right)^3[/tex]
[tex]\implies \left(\dfrac{\sqrt2}{1+\sqrt2}\right)^3[/tex]
[tex]\textsf{Apply exponent rule}:\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}[/tex]
[tex]\implies \dfrac{(\sqrt2)^3}{(1+\sqrt2)^3}[/tex]
Expand numerator:
[tex](\sqrt{2} )^3=\sqrt{2}\sqrt{2}\sqrt{2}=2\sqrt{2}[/tex]
Expand denominator:
[tex]\begin{aligned}(1+\sqrt2)^3 & = (1+\sqrt2)(1+\sqrt2)(1+\sqrt2)\\ & =(1+\sqrt2)(1+2\sqrt{2}+2)\\ & =1+2\sqrt{2}+2+\sqrt{2}+2\sqrt{2}\sqrt{2}+2\sqrt{2}\\ & = 7+5\sqrt{2}\end{aligned}[/tex]
[tex]\implies \dfrac{(\sqrt2)^3}{7+5\sqrt2}[/tex]
Substituting expanded numerator and denominator:
[tex]\implies \dfrac{2\sqrt{2}}{7+5\sqrt2}[/tex]
[tex]\textsf{Mulitply by conjugate :}\quad\dfrac{7-5\sqrt2}{7-5\sqrt2}[/tex]
[tex]\implies \dfrac{2\sqrt{2}(7-5\sqrt2)}{(7+5\sqrt2)(7-5\sqrt2)}[/tex]
[tex]\implies \dfrac{14\sqrt{2}-20}{49-50}[/tex]
[tex]\implies \dfrac{14\sqrt{2}-20}{-1}[/tex]
[tex]\implies -14\sqrt{2}+20[/tex]
Brenda walked a distance represented by the expression 5(2y + 4). It is 5 times the
distance John walked. Interpret the expression 2y + 4 and identify the correct choice.
Answer:
Option DStep-by-step explanation:
Let the distance Brenda walked is B and distance John walked is J.
We have
B = 5Jand
B = 5(2y + 4)Comparing the two equations we see
J = 2y + 4It means 2y + 4 is the distance walked by John
Correct answer choice is D
The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Answer:
scale factor is 3/2
Step-by-step explanation:
to find scale factor, new image divided by original image.
Make sure you rotate the image on the right so it matches the image on the left. 3 corresponds to 9/2 and 5 corresponds to 15/2.
[tex]\frac{9}{2}[/tex] ÷ [tex]\frac{3}{1} \\[/tex]
[tex]\frac{9}{2}[/tex] × [tex]\frac{1}{3}[/tex]
[tex]\frac{9}{6}[/tex]
reduce
[tex]\frac{3}{2}[/tex]
CAN SOMEBODY HELP ME PLEASE
Answer:
g-intercept: (0, 48)n-intercepts: (6, 0), (-4, 0), (2, 0)Step-by-step explanation:
The g-intercept is the point where the function graph crosses the vertical axis. The value there is g(0). It is found by evaluating the function when n=0.
g(0) = (0 -6)(0 +4)(0 -2) = (-6)(4)(-2) = 48
The g-intercept is (0, 48).
__
The n-intercepts are the points where the function graph crosses the horizontal axis. These are the values of n that make g(n) = 0. For each of the binomial factors, that value of n will be the value that makes the factor 0:
n -6 = 0 ⇒ n = 6
n +4 = 0 ⇒ n = -4
n -2 = 0 ⇒ n = 2
The n-intercepts are (6, 0), (-4, 0), and (2, 0).
Answer:
g intercepts: 48
n intercepts: 6, -4, 2
Step-by-step explanation:
Part 1:
To find the g intercepts, set n to 0 everywhere.
You then get:
g(0) = (-6)*(4)*(-2)
g(0) = 48
Part 2:
To find the n intercepts, set g to 0.
You then get:
(n-6) * (n+4) * (n-2) = 0
Solve for n in each part seperately to find all intercepts:
n-6 = 0 -> n = 6
n+4 = 0 -> n = -4
n-2 = 0 -> n = 2
PLEASE RESPOND FAST FOR BRAINLIEST.
Data Set 1 has a mean of 173.5 and a MAD of 3.9.
Data Set 2 has a mean of 161.2 and a MAD of 4.1.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 3.
The distributions are different.
The means-to-MAD ratio is 4.
The distributions are somewhat similar.
Answer:
Option D, The distributions are somewhat similar
Step-by-step explanation:
Step 1: Determine the means-to-MAD ratio
Data Set 1 → Mean = 173.5, MAD = 3.9
Data Set 2 → Mean = 161.2, MAD = 4.1
[tex]Ratio = \frac{Mean\ of\ 2 - Mean\ of\ 1}{MAD\ of\ 2 - MAD\ of\ 1}[/tex]
[tex]Ratio = \frac{161.2 - 173.5}{4.1 - 3.9}[/tex]
[tex]Ratio = \frac{-12.3|}{0.2}[/tex]
[tex]Ratio = -61.5[/tex]
Step 2: Determine if the distributions are similar or not
Since the MAD of set 2 is somewhat similar to MAD of set 1, the distributions are somewhat similar.
Answer: Option D, The distributions are somewhat similar
help i dont know how to do this and i forgot the study guide
Answer:
number 1 is a
Step-by-step explanation:
I don’t know the rest tho but good luck
CAN SOMEONE PLS ANSWER THIS QUESTION FAST
I WILL MARK BRAINLIEST
Answer:
B 5
Step-by-step explanation:
it is the same ratio as the red
6. Kayla is planning to buy a new phone. Rongers charges $0 for down payment plus $127 monthly fee. Fidoll charges $363 for down payment plus $94 monthly fee.
a) When will the two plans charge the same amount (the same number of months for both plans)?
b) If both plans are contracted for 2 years (24 months), which plan would you recommend to Kayla? Explain.
Answer:
See below ↓↓
Step-by-step explanation:
Plan 1
0 + 127xPlan 2
363 + 94xPart A
Equating them
⇒ 127x = 363 + 94x
⇒ 33x = 363
⇒ x = 11 months [They will be same at this point]
Part B
⇒ Plan 1 : 127(24) = $3048
⇒ Plan 2 : 363 + 94(24) = 2256 + 363 = $2619
⇒ I would recommend Plan 2 as it costs less for the time period of 2 years
The measures of two angles of a triangle are 29° and 61°. Is the triangle acute, right, or obtuse? Use geometric terms in your explanation.
What will the balance be after 10 years if $1500 is invested at 1.5% interest compounded continuously?
Answer:
A = $1,742.75
A = P + I
Where
P is the principal (1,500.00)
I is the interest (242.75)
Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 1.5/100
r = 0.015 rate per year,
Then solve the equation for A
[tex]A = Pe^{rt}\\A = 1,500.00(2.71828)^{(0.015)(10)}\\A = $1,742.75[/tex]
Summary:
The total amount with compound interest on a principal of $1,500.00 at a rate of 1.5% per year compounded continuously over 10 years is $1,742.75.
Please help in stuck on this one
Answer:
Step-by-step explanation:
a.
[tex]2^3*2^{-3}=2^0\\b.\\\frac{2^3}{2^5} =2^{-2}\\c.\\2^{-3}*5^{-3}=10^{-3}[/tex]
An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
312
350
494
700
Answer: The answer is B:350
Step-by-step explanation:
edge
Answer:
B
Step-by-step explanation:
Got it right
Find the future value of an ordinary annuity of sh.25,000 at a compunding rate of 7% p.a. after 9 years?
Answer:
sh.299,449.72
Step-by-step explanation:
The future value of an ordinary annuity with annual payments P earning interest rate r compounded annually for t years is ...
FV = P((1+r)^t -1)/r
For the given numbers, the future value is ...
FV = sh.25000(1.07^9 -1)/0.07 ≈ sh.299,449.72
Please help fast!!!!
How many solutions does the equation y + 12 = y + 10 + 2 have?
O Zero
One
O Two
O Infinitely many
Answer:
Infinitely many
Step-by-step explanation:
Given:
[tex]y + 12 = y + 10 + 2[/tex]
Solve:
Subtract y from both sides
[tex]y+12-y=y+10+2-y[/tex]
Simplify
[tex]12=10+2[/tex]
Now add : 10 + 2
[tex]12=12[/tex]
Both side are equal
Since both sides are equal then answer = Infinitely many
[RevyBreeze]
im stuck, i dont know where i went wrong. Will brain list, pls help. Evaluate x³-2x²+3x-7/x-1
Answer: hii
hopefully this helps you!
Step-by-step explanation:
Simplify the expression.
- Matthew <3
If v = X + 4t, v is the velocity and X is the displacement, how to find X in terms of t?
[tex]x = vt\\\\\implies x= (x+4t)t\\\\\implies x=xt+4t^2\\\\\implies x -xt= 4t^2\\\\\implies x (1-t) =4t^2\\\\\implies x = \dfrac{4t^2}{1-t}[/tex]
A company’s stock increases from $18.30 to $54.90 over a 3-year period. What is the percent increase?
Answer:
the answer is 66.67%
Step-by-step explanation:
54.90-18.30=36.60
36.60÷54.90×100=66.666666666... or 66.67%
What is the domain of the function y=\sqrt{x}
What is the domain of the function y = StartRoot x EndRoot?
Answer: C (third choice)
Step-by-step explanation:
Square roots cannot hold negative x values as it will create an imaginary number.
Therefore the starting value of x must be starting at 0 and then moving to infinity
Answer:
c
Step-by-step explanation:
How many feet are represented by a 4 inch line if it is drawn to a scale of 1/2 inch equals 1 foot
Answer:
8 feet are represented by a 4-inch line.
Step-by-step explanation:
Scale:
1/2 (0.5) in. = 1ft
1/2x = 1
x = 2
4x in. = ? ft
4(2) in = ? ft
4 x 2 = 8
8 feet are represented by a 4-inch line.
hope this helps!! p.s. i really need brainliest :)
Which of these figures has a line of symmetry drawn correctly?
Shape A and Shape B
Shape B and Shape D
Shape A
Shape C
The figure above includes one cylinder and two identical rectangular prisms. The volume of one rectangular prism is 800 m3. The volume of the entire figure is?
Answer:
1,720m
Step-by-step explanation:
I took the test
The function f is defined by the following rule.
f(x) = 4x+5
=
Complete the function table.
the answers are as follows:
• -15
• -7
• 5
• 13
• 21
Video One, a Blu-ray disc player manufacture, produces two model of Blu-ray players. The mini-blue,
which can only play a Blu-ray disc and the media-blue that plays Blu-ray disc and contains a
personal DVR. The players are assembled on two different assembly lines. Line 1 can assemble 2
units of the mini-blue model and 12 units of the media-blue model per hours, and Line 2 can
assemble 5 units of the mini-blue model and 5 units of the media-blue model per hours. The
company needs to produce at least 20 units of the mini-blue model and 70 units of the media-blue
model to fill an order.
Let x = the number of hours for Line 1
Let y = the number of hours for Line 2.
Write the system of inequalities that represents the minimum number of Blu-ray disc player that
need to be produced to fill the order.
Answer:
This question is very big, you should shorten your question a bit so that I can answer it quickly, the rest is just that I did not understand the question a bit
Drag each equation to the correct location on the table.
Match the inequalities with the value of a for which they hold true.
2a + 3 < 9 − 3a
5a − 4a + 6 < 8
2a + 3 > 10 − 3a
4 + 3a + 8 < 16
3a − 2a + 1 > 2
14 + 5a < 12a + 1
a=1
-2a + 3 < 9 − 3a
5a − 4a + 6 < 8
2a + 3 > 10 − 3a
a=2
-4 + 3a + 8 < 16
14 + 5a < 12a + 1
3a − 2a + 1 > 2
Please help me with this
Answer:
8. 133°
9. 124°
Step-by-step explanation:
Because all triangles add up to 180°, the sum of all interior angle will add up to 180°.
8) 94 + 39 = 133
180 - 133 = 47
47° is the measure of the unknown interior angle, but we need the exterior and all straight lines are 180° angles, so we need to subtract.
180 - 47 = 133°
9)
81 + 43 = 124
180 - 124 = 56 (interior angle)
180 - 56 = 124° (exterior angle)
What is the slope of a line perpendicular to the line whose equation is
5x – 2y = -10. Fully simplify your answer.
You spin the spinner once.
6
3
5
What is P(6)?
Write your answer as a decimal.
4
Answer:
0.25
Step-by-step explanation:
Every number has equal probability here
Decide if each set might produce one or more gaps when represented by a histogram. 1.The ages of students in a sixth-grade class. 2. The ages of people in a elementary school. 3. The ages of people eating in a family restaurant.
4. the ages of people who watch football. 5. The ages of runners in a marathon.
The set of data that might produce one of more gaps on thr histogram are:
the ages of people who watch football; andthe ages of people eating in a family restaurant.What is a Histogram?A histogram is a graphical representation of data such that the data is organized by data points into user-specified ranges.
The categories of people highlighted above will cause gaps because there is an increased likelihood that their ages will vary greatly or be distanced from the mean.
Learn more about Histograms at:
https://brainly.com/question/2962546
