Answer:
The unknown number is -2
Step-by-step explanation:
Let n represent the unknown number then...
12=14+n
Subtract 14 from both sides:
12-14=14-14+n
-2=n
n=-2
HELP?!?!
The shaded octagon is transformed to the unshaded octagon in the coordinate plane below.
Which statement about the transformation is true?
The unshaded octagon is a reflection because it is a flip over a diagonal line.
The unshaded octagon is a dilation because it is smaller than the shaded octagon.
The unshaded octagon is a horizontal translation because it is directly to the left of the shaded octagon.
The unshaded octagon is a vertical translation because it is directly under the shaded octagon.
Answer:
(A) The unshaded octagon is a reflection because it is a flip over a diagonal line.
Step-by-step explanation: Trust, rust, and pixie dust
Answer:
A is correct
The unshaded octagon is a reflection because it is a flip over a diagonal line.
i took the test
17. Alexis has a painting presently valued at $2000. An art dealer told her the painting would
appreciate at a rate of 8% each year. In how many years will the painting be worth $5000?
Round your answer to the nearest tenth.
Show work please
Answer:
18.8 years
Step-by-step explanation:
8% of $2000 = $160
To be worth $5000, the painting need to rise by $3000
And every year it rise by $160, so it will need 3000 : 160 = 18.75 (round to 18.8) years.
Please help mee
A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 1 gallon of punch?
Answer:
0.66 cups of cranberry juice is needed to make 1 gallon of punch
Step-by-step explanation:
2 / 3 = 0.66
i hope this helped! have a wonderful rest of your day :)
Simplify (3x2 − 2) (2x2 − 6x 3). 5x2 − 6x 1 5x2 − 6x − 1 x2 − 6x 1 5x2 − 8x 3.
Answer:
-566
Alternative form:
-5.66 x [tex]10^{2}[/tex]
Help if you understand Thanks
Answer:
b
Step-by-step explanation:
Repeating domain (x-values) does not represent a function.
Option b does not have any repeating domains.
Hope this helps!
Answer:
The answer is the third one.
Step-by-step explanation:
Hopefully this is helpful :)
The first term of geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. using a table of values, how many terms are in this geometric series
[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\stackrel{\textit{first term}}{-3}\\ r=\stackrel{\textit{common ratio}}{6} \end{cases}[/tex]
[tex]\stackrel{S_n}{-4665}~~ = ~~-3\left( \cfrac{1-6^n}{1-6} \right)\implies -4665=-3\left( \cfrac{1-6^n}{-5} \right) \\\\\\ -4665=\cfrac{3}{5}(1-6^n)\implies -4665\cdot \cfrac{5}{3}=1-6^n\implies -7775=1-6^n \\\\\\ -7776=-6^n\implies 7776=6^n\implies 6^5=6^n\implies \boxed{5=n}[/tex]
Answer:
5 terms
Step-by-step explanation:
The attached table shows that the sum of 5 terms is -4665.
__
Additional comment
A table for a problem like this is easily made using a spreadsheet. Each value is 6 times the previous, and each sum is the new value added to the previous sum. The first value and the first sum are -3.
In the attached, we have simply summed the terms, each term being computed using the explicit formula for this geometric sequence.
What is the ratio in decimal form of 75 people in a 10ft X 10ft square?
Answer:
(100 ft^2) / (75 people) is a ratio: 1.3333... ft^2/person
Step-by-step explanation:
There are 75 people in a 100 square foot area. The amount of space (floor space) is (100 ft^2) / (75 people) = 1 1/3 square feet.
(100 ft^2) / (75 people) is a ratio: 1.3333... ft^2/person
What fraction of an hour is four minutes
Answer
1hr/15 mins=60 mins/15 mins=4 minutes.
Step-by-step explanation:
What is the equation of a horizontal line passing through the point (1, 14)?
y=1
y= 14
x=1
x=14
Answer:
y = 14
Step-by-step explanation:
If the line is horizontal, it will always have the ssame value of y for all values of x. Therefore, y = 14.
Hi! -2x + y = -11 4x + 4y = 4 System by substitution!!!
Answer:
Point Form:
(
8
3
,
−
5
3
)
Equation Form:
x
=
8
3
,
y
=
−
5
3
Answer:
x=4, y=-3, or (4,-3)
Step-by-step explanation:
Hi there!
We are given the following system of equations:
-2x+y=-11
4x+4y=4
And the problem wants us to solve it by substitution
In substitution, we will solve one of the equations for one of the variables to equal an expression containing the other variable, then substitute that expression as the variable it equals into the other equation, solve that equation, then use the value of the solved variable to solve for the first equation we made (the one that is a variable equaling an expression containing the other variable)
It's easier to do this when one of the variables already has a coefficient of 1, as we can just move a couple of terms around without having to multiply or divide anything; for example, in the first equation, -2x+y=-11, y already has a coefficient of 1
So we can just add 2x to both sides, in order to solve the equation for y
-2x+y=-11
+2x +2x
______________
y=2x-11
Now substitute this expression into the the second equation as y.
So, 4x+4y=4 would become 4x+4(2x-11)=4
Now we need to solve 4x+4(2x-11)=4
Do the distributive property:
4x+8x-44=4
Combine like terms
12x-44=4
Add 44 to both sides
12x=48
x=4
We found the value of x
Now we need to find the value of y
Substitute 4 as x in y=2x-11
y=2(4)-11
Multiply
y=8-11
subtract
y=-3
The answer is x=4, y=-3, or as a point, (4, -3)
Hope this helps!
See more on solving systems by substitution here:
https://brainly.com/question/24420448
Ryan and Carlos are getting in shape for football season. Ryan starts at 140 pounds and gains two pounds per week. Carlos starts at 195 pounds but
loses three pounds per week. In how many weeks will they both weigh the same amount, and what will that weight be? (Hint: these are y = equations)
Answer:
In 11 weeks they will both be 162lbs each
Step-by-step explanation:
Evaluate and must show work
But i don’t think there is anything left to be done is there?
Please help
Answer:
ln(x)/2 -3.810930
Step-by-step explanation:
The relevant rules of logarithms are ...
ln(ab) = ln(a) +ln(b)
ln(a^b) = b·ln(a)
ln(a/b) = ln(a) -ln(b)
ln(e) = 1
__
Your expression expands to ...
[tex]\ln\left(\dfrac{4\sqrt{x}}{9e^3}\right) = \ln(4\sqrt{x})-\ln(9e^3)=\ln(4)+\dfrac{1}{2}\ln(x)-(\ln(9)+3\ln(e))\\\\=\dfrac{1}{2}\ln(x)+\ln(4)-\ln(9)-3\\\\\approx\dfrac{\ln(x)}{2}-3.810930[/tex]
2) Riddington and Greenwick are two small villages.
The population of Riddington has increased from 80 people to 120 people.
The population of Greenwick has decreased from 200 people to 120 people.
Show that Riddington has had the greater percentage change in its population.
You must show all your working.
Answer:
See belowStep-by-step explanation:
Find the amount of change in both cases and convert the change into percentage, then compare final results.
1. Riddington
Change:
120 - 80 = 40Percent change:
40/80*100% = 50% increase2. Greenwick
Change:
200 - 120 = 80Percent change:
80/200*100% = 40% decreaseAs we see 50% > 40% so this proves the statement.
Solve the equation: 30 = 5 + 0.5d
Answer:
d = 50
Step-by-step explanation:
30 = 5 + 0.5d ( subtract 5 from both sides )
25 = 0.5d ( divide both sides by 0. 5 )
50 = d
15x+3y=27 into slope-intercept form, simplifying all fractions.
Answer:
y = -5x + 9
Step-by-step explanation:
Slope-intercept form is the form
y = mx + b
So you need to rearrange the terms to get the y all by itself on the left. On the right, the x term goes first and last the constant (a plain number) see image.
Is (6,3) a solution to the equation "a"? Yes or No.
Yes
No
Answer:
Yes
Step-by-step explanation:
How do I solve this?
the model is using "t" as years after 2003, if we want to know the population in that country using that model at year 2003, then "t" must be 0, when t = 0, that's the initial population for that model.
[tex]A=920.2e^{0.005t}\implies A=920.2e^{0.005(0)}\implies A=920.2(1)\implies A=920.2[/tex]
Which polynomials are prime? Check all of the boxes that apply.
x2 + 9
x2 – 9
x2 + 3x + 9
–2x2 + 8
Answer:
Answer:
The prime polynomials are
x² + 9
x² + 3x + 9
Step-by-step explanation:
Just an answer and a simple explanation are needed. Please and thank you!
Answer:
KL = 51
Step-by-step explanation:
1: Make an equation
[tex]10x -2 = 5x-8 + 7x -12[/tex]
the 10x is the JL line which is the whole line segment
2: start solving by getting all x to be on one side
[tex]10x-5x-7x = -8 -12 +2[/tex]
3: simplify
[tex]-2x = -18[/tex]
4: solve for x
[tex]x=9[/tex]
5: plug x back into KL
[tex]7(9)-12 = 51[/tex]
Can someone help me with this please!
Answer:
Step-by-step explanation:
I need help please! There are only 3 answer choices.
A cat climbed up a 6.5 ft ladder. If the ladder is placed at a 75 degree angle of elevation, then how far up the tree is the top of the ladder?
A) 5.9 feet
B) 6.3 feet
C) 6.7 feet
Answer:
B) 6.3 feet
Step-by-step explanation:
sin Θ = opp/hyp
sin 75° = h/6.5
h = 6.5 sin 75°
h = 6.3
Answer: B) 6.3 feet
(3x-1)•(5x-3)
find area and perimeter in feet
Answer:
21 is the answers to your question
1/2 + 2/9 + 27/53 as a fraction
Answer:
1175/954 there your answer
which choice shows angles that are complementary and adjacent?
Answer:
1st one is adjacent
2nd one is complementary
3rd one is adjacent
4th one is complementary
A box is 20 inches long and 21 inches high. What is the diagonal length of the box?
Answer:
29 inches
Step-by-step explanation:
Answer:
Use Pythagoras' Theorem:
c²=a²+b²
c²=20²+21²
c²=841
c=√841
c=29 inches
Step-by-step explanation:
help me please i don't uderstand
Answer:
(a) d = 2.1 (b) a = 8.7
Step-by-step explanation:
[tex]d^{2}+d^{2} = 3^{2}[/tex]
[tex]2d^{2} = 9\\d = \sqrt[2]{9/2} = 2.1[/tex]
The hypotenuse = 5*2 = 10
[tex]5^{2} + a^{2} = 10^{2}\\a^{2} = 100 - 25 = 75\\a = \sqrt{75} = 8.7[/tex]
Angie packed same-size cubes into a rectangular prism.
Image shows a base of cubes 3 units long, 2 units wide, and with a column of cubes 1 cube wide and 7 cubes tall. PLEASE HELP ME
What is the number of cubes needed to fill this prism?
A.
20 cubes
B.
35 cubes
C.
36 cubes
D.
42 cubes
WILLL GIVE THE BRAINLIEST PLEASE HELP ME IN A RUSH
Answer:
the answer is 42 can i have brainliest please:)
Step-by-step explanation:
3x7x2=42
Answer:
42
Step-by-step explanation:
The area of a circle is 22.68cm2.
Find the length of the radius rounded to 2 DP.
Answer: r=2.69. Calculate the radius of circle:Round the number: r=2.69Answer: r=2.69
Will someone please help me with this?!? It’s simple but my answer isn’t correct. I would appreciate it so much
Answer:
(2x + 1)(3x - 2)
Step-by-step explanation:
f(x) = 6x² - x - 2
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 6 × - 2 = - 12 and sum = - 1
the factors are + 3 and - 4
use these factors to split the x- term
6x² + 3x - 4x - 2 ( factor the first/second and third/fourth terms )
= 3x(2x + 1) - 2(2x + 1) ← factor out (2x + 1) from each term
= (2x + 1)(3x - 2) , then
f(x) = (2x + 1)(3x - 2) ← in factored form
Given cos 0 = 1/6 and angle 0 is in Quadrant IV, what is the exact value of sin 0 in
simplest form? Simplify all radicals if needed.
cos 0 = 1/6
1 - cos²0 = sin²0
sin²0 = 35/36
in quadrant IV (4) the cos is positive sin is negative.
sin0 = - √35/6