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
The _____ is a point estimate of the population mean for the variable of interest. a. sample mean b. geometric mean c. median d. sample
There are different ways to estimate a variable. The sample mean is a point estimate of the population mean for the variable of interest.
What is a point estimate of the population mean?A point estimate is known to be the value of a sample statistic that is often applied as one estimate of a specific population parameter.
The sample mean is defined simply as a form of average value seen in a sample. A sample is known to be the little portion of a whole.
Learn more about sample mean from
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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
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
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.
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]
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 :)
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]
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.
Joe will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $51.98 and costs an
additional $0.17 per mile driven. The second plan has an initial fee of $59.98 and costs an additional $0.13 per mile driven. How
many miles would Joe need to drive for the two plans to cost the same?
Answer:
200
Step-by-step explanation:
This problem is about linear equations. We assume Joe drive X miles, and the total cost is $Y, then we can get:
Plan I: Y=51.98+0.17X
Plan II: Y=59.98+0.13X
When both plans cost the same, 51.98+0.17X=59.98+0.13X. We will get X = 200
cot 75= 2 - square root 3
Answer:
The value of cot 75° is 2 - √3 or 0.2679(approx).
Step-by-step explanation:
I hope it helps!
Muffin<3
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
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
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.
1/2 + 2/9 + 27/53 as a fraction
Answer:
1175/954 there your answer
(56x + 16y) × 0,4/x = 32
what is x and y?
Answer:
112x + 32y
----------------
5x
Step-by-step explanation:
x and y are variables
1- Convert the expression
2- Simplify the expression
3- Calculate
The table shows the purchases of two customers at a concession stand at the basketball game. Hamburgers Drinks Total Cost Customer 1 2 $13.00 Customer 2 3 7 $21.00 You want to buy 8 drinks and 9 hamburgers for you and your friends. How much do you expect to pay?
[tex]\bold{\huge{\blue{\underline{Solution}}}}[/tex]
[tex]\bold{\underline{ Given :- }}[/tex]
Customer 1 bought 2 hamburgers and 4 drinks at a cost of $13.00Customer 2 bought 3 hamburgers and 7 drinks at a cost of $21.00[tex]\bold{\underline{ To \: Find :- }}[/tex]
We have to find the total cost of 8 drinks and 9 hamburgers[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]
Let the cost of hamburgers and drinks be x and y
According to the question,
[tex]\sf{ 2x + 4y = 13.00 ...eq( 1 ) }[/tex]
[tex]\sf{ 3x + 7y = 21.00 ...eq(2) }[/tex]
Solving eq( 1 ) we get :-
[tex]\sf{ 2x + 4y = 13 }[/tex]
[tex]\sf{ 2x = 13 - 4y }[/tex]
[tex]\sf{ x = (13 - 4y)/2 ...eq(3)}[/tex]
Subsituting eq(3) in eq( 2 ) :-
[tex]\sf{ 3( 13 - 4y)/2 + 7y = 21 }[/tex]
[tex]\sf{ 39 - 12y/2 + 7y = 21 }[/tex]
[tex]\sf{ 39 - 12y + 14y = 42}[/tex]
[tex]\sf{ 2y = 42 - 39 }[/tex]
[tex]\sf{ 2y = 3 }[/tex]
[tex]\sf{ y = 3/2 }[/tex]
Subsituting value of y in eq(3) :-
[tex]\sf{ x = 13 - 4(3/2)/2}[/tex]
[tex]\sf{ x = 13 - 2(3)/2}[/tex]
[tex]\sf{ x = 13 - 6/2}[/tex]
[tex]\sf{ x = 7/2 }[/tex]
Therefore,
[tex]\sf{ Cost\: of \:8 \:drinks}[/tex]
[tex]\sf{ = 8 * 3/2 }[/tex]
[tex]\sf{ = 4 * 3 }[/tex]
[tex]\sf{ = 12.00 dollars}[/tex]
And
[tex]\sf{ Cost\: of \:9 \:hamburgers }[/tex]
[tex]\sf{ = 9 * 7/2 }[/tex]
[tex]\sf{ = 63/2}[/tex]
[tex]\sf{ = 31.50 dollars}[/tex]
Total cost of the 8 drinks and 9 hamburgers
[tex]\sf{ 12.00 + 31.50}[/tex]
[tex]\sf{\red { = 43.50 \:dollars}}[/tex]
Hence, The total cost paid by you for 8 drinks and 9 hamburgers is $43.50 .
Jake is buying a sweater with a price of $30 shown on the tag. The store is having a sale that will reduce the price by 30%. Sales tax of 5% will be added to the final purchase price. What is Jake’s total cost for the sweater? (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $22.05)
Reducing
30-30*0.3=
21
21+21*0.05=22.05
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]
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:
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]
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.
Is what's below a complete sentence or a fragment?
Iris West is very happy today.
Answer:
complete sentence
Step-by-step explanation:
it has a subject and a verb
Answer:
I would say sentence.
Step-by-step explanation:
It has punctuation, a subject, and a verb, so I would say it's a sentence.
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
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 :)
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
One equation in a system of equations is y=2x+10. Which equation below would have to be the second equation so that the system has infinitely many solutions?
Answer:
D
Step-by-step explanation:
y = 2x + 10 is the same thing as y = 2(x + 5) because 2 x x = 2x and 2 x 5 = 10
Simplify Option D
y=2(x+5)y=2x+2(5)y=2x+10As everything is same
i.e
A1/A2=B1/B2=C1/C2Hence infinitely many solutions are present
HELP PLEASE
A 180-ounce bag weighs more than an 11-pound bag. True or false?
True
False
Answer:
True
Step-by-step explanation:
Just a tip, there are 16 ounces in a pound, and just searching 180 ounces into pounds can help with this stuff to if you don't want to do math yourself
Answer: False
Step-by-step explanation: Pound weighs more in ounce.
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