Answer:
pattern: common ratio of -1/3next: 5Step-by-step explanation:
When looking for patterns in a sequence, it is useful to look at differences, ratios, and differences of differences. Here, the terms have a common ratio:
405/-1215 = -135/405 = 45/-135 = -15/45 = -1/3
__
For this sequence, each number is -1/3 times the previous number.
The next number is (-15)(-1/3) = 5.
G
Which represents the solution(s) of the graphed system of equations, y = -x² + x + 2 and y = -x + 3
5
4
3
2
←+
-5-4-3-2-1,
2 3 4 5
O (1, 2)
Next
Mark this and return
-2+
8 + 9
(1 21 and 10 21
X
Save and Exit
Answer: (1, 2)
Step-by-step explanation:
y = -x² + x + 2
y = -x + 3
1. Set the two equations equal to each other:
-x² + x + 2 = -x + 3
2. move one of the equations to the other side:
-x² + 2x - 1
3. Factor out a -1:
-1 (-x² + 2x - 1) = 0
x² - 2x + 1
4. Factor:
(x - 1)(x - 1)
x = 1
5. Plug in 1 to one of the equations:
y = -x + 3
y = -(1) + 3
y = 2
6. Write as coordinates:
(1, 2)
Please help! Algebra 2
[tex]y = \sqrt[3]{x - 8} [/tex]
When translating the function in the positive x direction, we have to subtract the value from x
A user manual with 500 pages has 4 pages without diagrams.
What percent of the pages do not have diagrams?
0.25%
0.49%
0.8%
1.25%
0.8%
first we divide 4÷500×100
the we get 0.8%
Answer:
This is so easy it's 0.8%
Step-by-step explanation:
I barely pay attention in class but this is easy work
hope it helps anyways!
p.s i am in k12 sooo ^_^
What is the area of the shaded region?
Write your answer as a whole number or a decimal rounded to the nearest hundredth.
Wednesday, May 25th*
Lisa is on a trip of 1,579 miles. She has already traveled 220 miles. She has 3 days left in her trip. How many miles does she need to travel each day to complete the trip?
A. 673
B. 906
C. 1,359
D. 453
Answer: D. 453
Step-by-step explanation:
First, we will find out how many miles she has left.
-> We will subtract miles travled from total trip.
1,579 miles - 220 miles = 1,359 miles
Now, we will find the answer to your question.
-> If she has three days left in her trip, we will divide the rest of the miles to travel by 3.
1,359 miles / 3 days = 453 miles
The answer to your question is;
D. 453
PLEASE HELP 25 POINTS!!!
Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...
Explanation:
Here Given Sum to Infinity
[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]
Identify following
a1 = 2r = 1/2Solve:
[tex]\rightarrow \sf S \infty \ =2 \ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]
[tex]\rightarrow \sf S \infty \ =4[/tex]
The sum of this infinity series is 4
Wyatt is paying back a loan with a nominal interest rate of 13.62%. If the interest is compounded quarterly, how much greater is Wyatt’s effective interest rate than his nominal interest rate? a. 0.96 percentage points b. 0.40 percentage points c. 0.25 percentage points d. 0.71 percentage points
Answer:
d. 0.71 percentage points
Step-by-step explanation:
13.62 % is .1362 in decimal
quarterly period compounding makes periodic (quarterly) interes rate
= .1362/4 = .03405 per period
FOUR periods in a year
(1+ .03405)^4 = 1.1433
which means effective interest is .1433 or 14.33 %
14.33 - 13.62 = .7115 percentage points difference
P(-3,4), Q(-1,4), R(-2, 1), S(-4, 1)
180° about vertex R what are the coordinates
The coordinate s (-4, 1) is lying on the 180 degrees of the vertex R.
What is a coordinate system?
A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
There are four coordinates are given
P(-3,4), Q(-1,4), R(-2, 1), S(-4, 1)
Point S is just lying about 180 degree to the vertex R so the coordinates will be S ( -4,1)
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Simplify: [tex]\sqrt{34}[/tex]
if it cant, just solve.
Hello ~
My name is Sxnnysoul, and I will be answering your question today! :D
We can make an explanation of a quick way, or the long way.
Quick way :-⇢ [tex]\sf{\sqrt{34}[/tex]
⇢ [tex]\sf{Refine \: to \: a \: decimal \: form:}[/tex]
⇢ [tex]\sf{= \: 5.83095}[/tex]
Long way :-Which this one I am talking about of the Square root of an fraction or a prime factorization.
⇢ [tex]\sf{Find \: the \: prime \: factors \: of \: 34.}[/tex]
⇢ [tex]\sf{The \: prime \: factors \: of \: 34 \: are \: 2 \: and \: 17.}[/tex]
⇢ [tex]\sf{34 \: = \: 2 \: ^. \: 17}[/tex]
Hope It Helps! ~
~ Learn With Sxnnysoul ~
[tex]\underline{Answer :}[/tex]
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
Petra is making bread. She puts 4 1/2
cups of flour in a bowl. Her sister Leslie is watching and tells Petra that she needs to remove 3/4
cup of flour, which Petra does.
The amount of flour left in the bowl is(blank) Response area cups.
A:2 1/8
B: 2 1/4
C:3 1/4
D:3 3/4
Answer:
B
is the write I think ......!
Can someone pls help me
The complete statement is 67000 pounds is equivalent to 33.5 tons
How to convert the units?The unit is given as:
Weight = 67000 pounds
As a general rule;
1 pound = 0.0005 tons
Multiply both sides by 67000
67000 * 1 pound = 67000 * 0.0005 tons
Evaluate
67000 pounds = 33.5 tons
Hence, 67000 pounds is equivalent to 33.5 tons
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Question 1-3
Find the average rate of change of the function, f (x) = log₂ (4x) on the interval of x = 2 to x = 8.
Answer:
1/3
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...
rate of change = (f(b) -f(a))/(b -a)
__
For the given function and interval, this is ...
(log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3
The average rate of change is 1/3.
_____
In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.
Kiran walks to school each morning. The values below represent the time, in minutes, it took Kiran to walk to school on five different days.
16, 11, 18, 12, 13
Without calculating, decide if 15 minutes is a good estimate for the mean. Explain why or why not.
Use linear regression to find a function that fits the following points. (-2,-1), (3,9).
Step-by-step explanation:
[tex] \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} [/tex]
[tex] \frac{y - ( - 1)}{9 - ( - 1)} = \frac{x - ( - 2)}{3 - ( - 2)} [/tex]
[tex] \frac{y + 1}{ \cancel{10}} = \frac{x + 2}{ \cancel{5} }[/tex]
[tex] \frac{y + 1}{2} = \frac{x + 2}{1} [/tex]
[tex]1.(y + 1) = 2.(x + 2)[/tex]
[tex]y + 1 = 2x + 4[/tex]
[tex]y = 2x + 4 - 1[/tex]
[tex]y = 2x + 3[/tex]
Which of the following pairs of triangles can be proven congruent through HL?
The pairs of triangles can be proven congruent through HL is option A.
x-1/x-1=1 what is x
HELP PLS
Answer:
x € R
Step-by-step explanation:
In mathematics, every expression
divided by itself is equal to one
For this expression For every value that will be replaced by x will be equal to one
What is the Area and Perimeter??? PLEASE HELP
Answer:for area you times them and for perimiter you add
Step-by-step explanation:
hope you understand
To identify the density of a figurine made using an unknown material, the figurine is dropped into a basin filled with water and found to displace 184.8 mL of water. The figurine is then put on a scale and found to be 3.8 pounds in weight. What is the density of the material that this figurine was made from in pounds/inch^3? (Note: 1 mL = 0.0610237 inch^3
Step-by-step explanation:
here you go hopw it helps you
what is the unit price for 4 greeting cards for $10
Answer:
$2.5/card
Explanation:
Unit price is the price for buying one item.
Here given:
total greeting cards: 4total cost: $10Unit price :-
total cost ÷ total units10 ÷ 4$2.5 per cardPLEASE HELP WILL MARK BRSINLIEST!!!!!pleaseeee
Answer:
[tex]x(3x-7)=3x^2-7x[/tex]
Step-by-step explanation:
[tex]\Large \begin{array}{| c | c | c |}\cline{1-3} \textsf{x} & 3x & -7\\\cline{1-3} x & 3x^2 & -7x\\\cline{1-3}\end{array}[/tex]
[tex]\textsf{Therefore,}\quad x(3x-7)=3x^2-7x[/tex]
The volume of a right cone is 168π units^3. If its diameter measures 12 units, find its height
Answer:
14 unitsStep-by-step explanation:
In the question, it is given that a right cone has a diameter of 12 units and volume of 168π units³ and we have to find the height of the cone.
[tex] \: [/tex]
To Find the height of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { \dfrac{1}{3} \: \pi r^2h ={ Volume_{(cone) }}}}}}}}} \\ \\[/tex]
Where,
r refers to the radius of the cone. Here, the diameter is 12, Therefore the radius will be 6 units.h refers to the height of the cone.Now, we will substitute the values in the formula :
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \pi \times (6)^2 \times h = 168 \pi}}}}}}} \\ \\[/tex]
Cancelling π from both sides we get :
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \cancel\pi \times 36 \times h = 168 \cancel\pi}}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \ \times 36 \times h = 168 }}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{36}{3} \times h = 168 }}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { 12 \times h = 168 }}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { h = \frac{168}{12} }}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { h ={14 }}}}}}}} \\ \\[/tex]
Therefore,
The height of the cone is 14 units .Edna raises money for charity and donates $123 per week. How much does Edna donate to charity each year? Note: There are
52 weeks in a year.
A. $6,426
B. $6,406
C. $6,396
D. $6,356
Write the equation of the function that
can be modeled by this table?
Answer:
y = 3x + 5
Step-by-step explanation:
y = mx + b (slope-intercept form)
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) (point-slope form of linear equation)
~~~~~~~~~~~~~~~
Evaluate 2x-5x+ 12
when x = -2
Answer:
2(-2)-5(-2)+12
-4-(-10)+12
6+12
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
2(-2)-5(-2)+12
-4+10+12
=18
Hope this helps! ;-)
Please solve with explanation
Answer: h₁ = ~2790.9943 meters tall
Step-by-step explanation:
[tex]h_1 = h_2 + h_3[/tex]
h₂
[tex]sin(a) = \frac{h_2}{h}[/tex][tex]sin(47^{o}) = \frac{h_2}{2200}[/tex][tex]2200sin(47^{o}) = h_2[/tex][tex]~1608.9781 = h_2[/tex]h₃
[tex]sin(a) = \frac{h_3}{h}[/tex][tex]sin(52^{o}) = \frac{h_3}{1500}[/tex][tex]1500sin(52^{o}) = h_3[/tex][tex]~1182.0161 = h_3[/tex]h₁
[tex]h_1 = h_2 + h_3[/tex][tex]h_1 = 1608.9781 + 1182.0161[/tex][tex]h_1 = 2790.9943[/tex]A girls' softball team is raising money for uniforms and travel expenses. They are selling flats of bedding plants for $12.00 and hanging baskets for $27.00. They hope to sell three times as many flats of bedding plants as hanging baskets. If they do, their total revenue will be $6300. How many flats of bedding plants do they hope to sell?
Why does it coats $18 per hour ?
in a hostel of 400 students, it was discovered that 70% like to drink tea and 60% like to drink coffee . if 10% students didn't like to drink tea or coffee , represent the information in a venn-diagram and find the number of students who like 1)coffee only,tea, bothtea and coffee ,neither tea nor coffee
Of the 400 students, 120 students like to drink coffee, 80 students like to drink tea, 160 students like both and 40 students do not like any of these drinks.
How many students like to drink coffee, tea, or none?Cofee: 70% of 400 = 280 students
Tea: 60% of 400 = 240 students
None: 10% of 400= 40 students
This means that 360 students like coffee, tea or both.
How many students like both drinks?280 + 240 (students who drink either coffe or tea)= 520 - 360 (real number of students who like coffee or tea) = 160 (students who like both coffee and tea.
Moreover, it can be inferred 80 students like tea and 120 studetns like coffee.
How to represented it in a Venn diagram?Set A: Students who like coffee 120 students.Set B: Students who like tea 80 students.Set A^B: Students who ike both drinks 160 studentsOutside the sets 40 students who do not like any of the drinks.
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help please What is the simplest form of the expression representing this product?
x+10/x2+7x-18 * 3x2-12x+12/3x+30
Answer:
x-2
x+9
Step-by-step explanation:
Answer:
[tex]\frac{x-2}{x+9}[/tex]
Step-by-step explanation:
Factorizing Fraction 1
[tex]\frac{x+10}{x^{2}+7x-18 }[/tex][tex]\frac{x+10}{(x+9)(x-2)}[/tex]Factorizing Fraction 2
[tex]\frac{3x^{2} -12x+12}{3x+30}[/tex][tex]\frac{x^{2} -4x+4}{x+10}[/tex][tex]\frac{(x-2)^{2} }{x+10}[/tex]Now, multiply the fractions :
[tex]\frac{x+10}{(x+9)(x-2)}[/tex] × [tex]\frac{(x-2)^{2} }{x+10}[/tex][tex]\frac{x-2}{x+9}[/tex]Given g of x equals cube root of the quantity x plus 6, on what interval is the function negative?
The interval for the function to be negative will be (-∞<x<-7).
What is a function?A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
Here we have a function:-
g(x) = ∛(x+6)
If we put the value of x lesser than 6 in the function we will always get a negative value so the interval will be:-
(-∞<x<-7).
Therefore interval for the function to be negative will be (-∞<x<-7).
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Answer:
(–∞, –6)
Step-by-step explanation:
I got it right on exam.