Answer:
3/5
Step-by-step explanation:
3/5=6/10
3/5=60/100
Help me pls answer 1&2&3 pls brainless
Answer:
3,1,5
Step-by-step explanation:
PLEASE HELP
Use the function f(x) to answer the questions.
f(x) = −16x2 + 22x + 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
First graph
y=-16x^2+22x+3(Graph attached)#A
Use quadratic formula
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{484+192}}{-32}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{676}}{-32}]/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm 26}{-32}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-1}{8}\:or\:\dfrac{3}{2}[/tex]
[tex]\\ \rm\rightarrowtail x=-0.125\:or\:1.5[/tex]
#B
Vertex will be maximum
Coordinates are
(0.688,10.563)#C
We have to find x intercepts (Part A)Then vertex(Part B)Then we can graph it[tex]\sf f(x) = -16x^2 + 22x + 3[/tex]
Part A
To find x-intercepts, the f(x) will be 0
[tex]\sf \hookrightarrow -16x^2 + 22x + 3=0[/tex]
[tex]\sf \hookrightarrow -16x^2 + 24x -2x+ 3=0[/tex]
[tex]\sf \hookrightarrow -8x(2x-3)-1(2x- 3)=0[/tex]
[tex]\sf \hookrightarrow (-8x-1)(2x+ 3)=0[/tex]
[tex]\sf \hookrightarrow -8x-1=0 , \ 2x+ 3=0[/tex]
[tex]\sf \hookrightarrow x=-0.125 , \ x=1.5[/tex]
find y-intercept:
to find y-intercept, x will be 0
[tex]\sf f(x) = -16(0)^2 + 22(0) + 3[/tex]
[tex]\sf f(x) = 3[/tex]
Part B
To find vertex use the formula: x = -b/2(a)
[tex]\sf \rightarrow x = \dfrac{-22}{2(-16)}[/tex]
[tex]\sf \rightarrow x = 0.6875[/tex]
find y coordinates:
[tex]\sf f(x) = -16(0.6875)^2 + 22(0.6875) + 3[/tex]
[tex]\sf f(x) =10.5625[/tex]
coordinates of vertex: (0.6875, 10.5625)
[tex]\bold{\mathrm{If}\:a < 0,\:\mathrm{then\:the\:vertex\:is\:a\:maximum\:value}}[/tex][tex]\bold{\mathrm{If}\:a > 0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}}[/tex]As its positive and greater than 0, the vertex will be Maximum.
part C
To draw the graph, simplify point the vertex on the graph. Then point both the x-intercepts. Also the y-intercept and draw the curve with free hand.
Graph attached:
Find the missing side lengths. Leave your answers as radicals in simplest form.
1)
2)
1459
712
b
b
र
45°
a
X
3)
D)
X
у
45 6/3
459
912
X
x
Answer:
1) y = 7 x = 7
2) y = 4.243 x = 4.243
3) y = 7.348 x = 7.348
4) y = 9 x = 9
Step-by-step explanation:
just use a calculator and put in the given information
search Right Triangle Side and Angle Calculator
Answer:
Below in bold.
Step-by-step explanation:
1. This is an isosceles right angled triangle.
x = y.
The ratio of the sides in this triangle are 1:1:√2
So 1/√2 = x / 7√2
√2 x = 7√2
x = 7.
y = 7.
The other 3 are solved in a similar way as they are all isosceles right angled triangles:
2. b = 6 and a = 6√2.
3. 1 / √2 = x / 6√3
√2 x = 6√3
x = 6√3 / √2
x = 6√3 * √2 / 2
= 3√6
y = 3√6.
4. x = y = 9.
18.
Given that sin x =
8
and sin y = , where x and y are acute, find the value of cos (x + y).
17
A.
B.
130
221
140
221
140
204
220
22
C.
D.
Answer:
B
Step-by-step explanation:
[tex]\sin{x}=\frac{5}{13}, \cos{x}=\sqrt{1-(\frac{5}{13})^2}=\frac{12}{13}[/tex]
[tex]\sin{y}=\frac{8}{17}, \cos{y}=\sqrt{1-(\frac{8}{17})^2}=\frac{15}{17}[/tex]
[tex]\cos(x+y)=\cos{x}\cos{y}-\sin{x}\sin{y}\\=\frac{12}{13}\times\frac{15}{17}-\frac{5}{13}\times\frac{8}{17}\\=\frac{140}{221}[/tex]
what is 1.5 +1.5 in a fraction
Answer:
3/1
Step-by-step explanation:
1.5+1.5
calcular los dos primeros términos
3
escribe el número entero como una fracción
3/1
Sarita deposits $1000 in an account paying 3.4% annual interest compounded continuously.
A. What is the balance in Sarita's account after 5 years?
Considering continuous compounding, it is found that the balance of her account after 5 years is of $1,185.3.
What is the equation for continuous compounding?It is given by:
[tex]A(t) = Pe^{kt}[/tex]
In which:
P is the principal.k is the interest rate.t is the time, in years.In this problem, the parameters are given as follows: P = 1000, r = 0.034, t = 5, hence:
[tex]A(5) = 1000e^{0.034(5)} = 1185.3[/tex]
The balance of her account after 5 years is of $1,185.3.
More can be learned about continuous compounding at https://brainly.com/question/15965736
so urgent pls
Answer:
B
because if you were looking for time that is less than and equal to you would have to choose (c) as you answerHELP WILL GIVE BRAINLIEST!!!!
2. Which of the following equations is FALSE?
BC=20
AC=20
BD= 10
AD= 10
Answer:
letter c the BD= 10
Step-by-step explanation:
Answer:
BD=10
Step-by-step explanation:
1. BAD=BCD=60
Therefore
BA = BC (sides opposite to equal angles are equal)
BA=20
Therefore BC=20
2.BAC+BCA+ABC=180(sum of the interior angles of a triangle is 180)
60+60+ABC=180
ABC=180-120
ABC=60
ABC=BAC=BCA
Therefore ABC is an equilateral triangle
AC=20
4. AC=AD+DC
AD=DC (BD is a perpendicular bisector)
Therefore
AC=2×AD
AC=20
20=2×AD
AD=20÷2
AD=10
Hope this helps!
In 1992, South Dakota's population was 10 million. Since then, the population has grown by 1.4% each year. Based on this, when will the population reach 20 million?
Answer:
49.9 years or 50 years later. At year : 2042Explanation:
use compound interest formula: [tex]\sf \boxed{ \sf P ( \sf 1 + \dfrac{r}{100} )^n}[/tex]
[tex]\rightarrow \s \sf 10( 1 + \dfrac{1.4}{100} )^n = 20[/tex]
[tex]\rightarrow \sf ( 1.014) ^n = 2[/tex]
[tex]\rightarrow \sf n( ln( 1.014) ) = ln(2)[/tex]
[tex]\rightarrow\sf n = \dfrac{ln(2)}{ln( 1.014)}[/tex]
[tex]\rightarrow\sf n = 49.8563 \ years[/tex]
Answer:
General form of an exponential equation: [tex]y=ab^x[/tex]
where:
a is initial valueb is the base (or growth factor in decimal form)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing functionIf 0 < b < 1 then it is a decreasing functionAlso b ≠ 0Given information:
initial population = 10 milliongrowth rate = 1.4% each year⇒ growth factor = 100% + 1.4% = 101.4% = 1.014
Inputting these values into the equation:
[tex]\implies y=10(1.014)^x[/tex]
where y is the population (in millions) and x is the number of years since 1992
Now all we need to do is set y = 20 and solve for x:
[tex]\implies 10(1.014)^x=20[/tex]
[tex]\implies 1.014^x=2[/tex]
[tex]\implies \ln 1.014^x=\ln 2[/tex]
[tex]\implies x\ln 1.014=\ln 2[/tex]
[tex]\implies x=\dfrac{\ln 2}{\ln 1.014}[/tex]
[tex]\implies x=49.85628343...[/tex]
1992 + x = 2041.8562....
Therefore, the population will reach 20 million during 2041, so the population will reach 20 million by 2042.
Roger has 120 peanuts. He saves 48 for himself. He divides the rest equally among 8 friends. He wants to find how many peanuts each friend gets.
Which equations should he use? Select all that apply.
A.
72
÷
8
=
m
B.
120
+
48
=
p
C.
168
÷
8
=
n
D.
120
÷
8
=
l
E.
120
−
48
=
p
Answer:
A and E MARK BRAINLIEST!
Step-by-step explanation:
Well lets look into this question carefully ,
You should first subtract 120- 48= 72
Then 72/ 8 = 9 so we can check all that apply equations we used
A and E
Blake went shopping for a new pair of pants because of a sale. The store was offering a 10% discount. If the price on the tag was $40, what would be the price after the discount but before tax, to the nearest dollar and cent?
Please don't send a link!
$36 is the price after the discount but before tax.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that the store was offering a 10% discount.
The price on the tag was $40
We have to find the price after the discount but before tax,
The discount is 10% of $40, which is:
0.1 x $40 = $4
So the discounted price is:
$40 - $4 = $36
Hence, $36 is the price after the discount but before tax.
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ2
Which of these describes an angle?
Extends in both directions with no end
The amount of turn between two straight lines that have a common endpoint, or vertex
A part of a line that connects two endpoints
Has a start point but no endpoint
At a student café, there are equal numbers of two types of customers with the following values. The café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate).
Students with Early Classes
Students without Early Classes
Coffee 73 63
Banana 53 103
The marginal cost of coffee is 5 and the marginal cost of a banana is 20.
The café owner is considering three pricing strategies:
1. Mixed bundling: Price bundle of coffee and a banana for 166, or just a coffee for 73.
2. Price separately: Offer coffee at 63, price a banana at 103.
3. Bundle only: Coffee and a banana for 126. Do not offer goods separately.
Assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle.
For simplicity, assume there is just one student with an early class, and one student without an early class.
Price Strategy
Revenue from Pricing Strategy
Cost from Pricing Strategy
Profit from Pricing Strategy
1. Mixed Bundling
$
$
$
2. Price Separately
$
$
$
3. Bundle Only
$
$
$
Pricing strategy yields the highest profit for the café owner.
Based on the prices, the willingness to pay of the students and the costs, the profits will be:
Mixed bundling = 209.Price separately = 199.Bundle Only = 202.The pricing strategy that yields the highest profit is the Mixed bundling strategy.
What is the profit from Mixed bundling?First find the willingness to pay for both the students with early classes and those without.
Student with early classes: Students without early classes:
= 73 + 53 = 63 + 103
= 126 = 166
At a mixed bundling price of 166, only students without early classes will be able to afford the bundle as their willingness to pay is 166.
Student with early classes will only take the coffee at 73 because their willingness to pay of 126 is lower than the 166 bundle price.
Profit is:
= (Bundle price + Coffee price) - (Marginal cost of two coffees + Marginal cost of banana)
= (166 + 73) - (2 x 5 + 20)
= 209
What is the profit from pricing separately?At separate only pricing students without early classes will be able to afford the both things at 166.
Student with early classes will only take the coffee at 63 because their willingness to pay of 126 won't allow them to take both items.
Profit:
= (63 + 63 + 103) - (2 x 5+ 20)
= 199
What is the profit from price separately?At a bundle only price of 126, both the students with early classes and those without early classes will be able to afford the bundle as their willingness to pay, match the price.
Profit will be:
= (126 + 126) - (2 x 5 ) for coffee - (2 x 20) for bananas
= 202
In conclusion, the woman should go with the Mixed bundling as it gives the highest profit of 209.
Find out more on pricing strategies at https://brainly.com/question/7303679.
If you spend 1.5 hours a week studying for English and 5 hours studying for math what is the ratio of time spent studying in math to studying for English?
Answer:
1.5/5
Step-by-step explanation:
For every 1.5 hours your spend studying English, you spend 5 hours studying Math.
Brainliest please?
George wanted to measure the angle of a water slide at the lake. He used a sheet of folded paper that formed a 20° angle. He measured and found that three of the folded paper angles would fit in the angle made by the slide and the ground.
Which of the following was the angle of the water slide?
The angle of the water slide is 60 degrees.
The equation that models his work is 3 × 20 = 60 degrees.
How to find the sum of angles of a figure/object?
He wants to measure the angle of a water slide at the lake.
He used a sheet of folded paper that formed 20 degrees to measure the angle of the the water slide at the lake.
He noticed three folded paper angle fits in the angle made by the slide and the ground.
Since each angle is equals to 20 degrees, and the three fits into the angle made by the slide and the ground, the angle of the water slide is as follows:
20 × 3 = 60 degrees
learn more on angles here: https://brainly.com/question/16746032
Arcs and angles relay puzzle
Applying the angles of intersecting chords theorem, the value of x in the first figure is: x = 7.
What is the Angles of Intersecting Chords Theorem?If two chords of a circle intersect, the angles of intersecting chords theorem states that, the measure of the angle formed equals 1/2(sum of the measure of the arcs which are intercepted.
Thus, we can use the angles of intersecting chords theorem to find missing angles or value of x in the questions given.
For example, let's find the value of x in the first figure given:
12x + 5 = 1/2(83 + 95)
12x + 5 = 89
12x = 89 - 5
12x = 84
x = 7
Using same strategy, you can solve the rest of the problem given.
Learn more about the angles of intersecting chords theorem on:
https://brainly.com/question/1626547
Find the average of this set of numbers.2, 5, 6, 14, 83
A) 22
B) 20
C) 19
D) none of the above
the answer is D i added then subtracted
Express 9 2/3 out of 100 as a percent .
Answer:
9 2/3% (or 9.66666666666%)
Step-by-step explanation:
A percent is a ratio out of 100, as this answer is out of 100, the percent is just 9 2/3%.
PLEASE HELP BEFORE MIDNIGHT
Answer:
Step-by-step explanation:
Variance=0.0016
Standard deviation is the square root of variance.
sigma=sqrt(0.0016)=0.04
mean=0.9 inch
Calculating z for 0.936 inch
z = (0.936 - 0.9)/0.04
= 0.036/0.04
= 0.9
Using normal distribution table
P(x<=0.936 inch)
= P(0.9)
= 0.81594
P(x>0.936) + P(x<=0.936) = 1
P(x>0.936)
= 1 - P(x<=0.936)
= 1 - 0.81594
= 0.18406
= 0.1841
(3) Need help. Brainliest if correct only, don’t answer if you don’t know HAVE A NICE DAY
Answer:
5/2
Step-by-step explanation:
In triangle XYZ, the known side is XZ, which is equal to 5. The corresponding side to this side would be MN, which is equal to 2. Divide XZ/MN in order to get 5/2.
Mathematics pls help 4 questions will give brain to best answer
What is the mean for the data set, to the nearest whole number?
Answer:
[1] 8
[2] 10
[3] 8.5
[4] 8
Step-by-step explanation:
[1] What is the mode of the data set?
5,8,8,8,8,9,9,9,10,10
Answer = 8
Explanation: Mode = Appears Most
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[2] How many people were in the sample?
Answer = 10
Explanation:
Each x = 1 person
Hence, it a total of 10 "x" (10 People)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[3] What is the median of the data set?
5,8,8,8,8,9,9,9,10,10
Answer = 8.5
Explanation:
Median = Middle
5,8,8,8,8,9,9,9,10,10
5,8,8,8,8,9,9,9,10,10
8 + 9 = 17/2 = 8.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[4] What is the mean for the data set, to the nearest whole number?
Answer = 8
Explanation:
Mean = Add up all data values to get the sum and Count the number of values in your data set. Divide the sum by the count
5 + 8 + 8 +8 + 8 + 9 + 9 + 9 + 10 + 10 = 84/10=8.4
8.4 Round = 8
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~Lenvy
125% of what number is 80?
Oa 36
Oь 40
Os 64
Od 72
Answer:
d. 72
Step-by-step explanation:
Answer :D
64
Step-by-step explanation:
We have, 125% x x = 80
or [tex]\frac{125}{100}[/tex] x x = 80
Multiplying both sides by 100 and dividing both sides by 125,
we have x = 80 x [tex]\frac{100}{125}[/tex]
x = 64
(or just divide 80 x 100 ÷ 125)
Hope this helps - Answered by Lilo
I am not sure how to do for this question! Pls help
Answer:
wheres the question
Step-by-step explanation:
??????
Factor the equation k^2 + 25
Answer:
k^2+25
Step-by-step explanation:
Factor k^2+25
=k^2+25
Doesn't factor
A bird is nested on a tree top that is 14 feet above the ground. The bird looks down at a worm at a 30 angle of depression. How far is the worm from the base of the tree?
Applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.
What is the Tangent Ratio?Tangent ratio is part of the Trigonometry ratios, which is expressed as, tan ∅ = opposite side / adjacent side in a right triangle.
The information given would form a right triangle, where:
Reference angle = ∅ = 30°Opposite side = 14 ftAdjacent side = distance of the worm from the base of the tree = xApplying the tangent ratio, we would have:
tan 30 = 14/x
x = 14/tan 30
x = 24.2 ft.
Therefore, applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.
Learn more about tangent ratio on:
https://brainly.com/question/14169279
The mathematics faculty at a college consists of 12 professors, 6 associate professors, 9 assistant professors, and 8 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
Answer: [tex]\frac{4}{7}[/tex]
Step-by-step explanation:
P(a) or P(b) = P(a) + P(b)
This means that the probability of a or b is the same of the probability of a plus b
So let's see the probability of a, selecting a professor
[tex]\frac{12}{12+6+9+8} \\\\\frac{12}{35}[/tex]
We won't simplify just yet so that addition will be easier later
Now let's see the probability of selecting b, an instructor
[tex]\frac{8}{12+6+9+8} \\\\\frac{8}{35}[/tex]
Now add the 2 probabilities together
[tex]\frac{12}{35} +\frac{8}{35} =\frac{20}{35}[/tex]
Simplify.
[tex]\frac{20}{35} =\frac{4}{7}[/tex]
PLS HELP OMG I CANT FIND IT
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
Fix)
X
0-9
10
k= -3
k = 3
k = 5
k = 8
graph below pls help
Answer:
(d) k = 8
Step-by-step explanation:
The value k in the equation ...
g(x) = f(x) +k
represents a vertical translation by k units.
__
The vertex coordinates for f(x) and g(x) are ...
f(x): vertex = (-3, -3)
g(x): vertex = (-3, 5)
This means ...
f(-3) = -3
g(-3) = 5 = f(-3) +k = -3 +8 ⇒ k = 8
_____
Additional comment
Translations of various kinds are often most easily seen by comparing points where the graph has a distinctive feature. On this graph, that is the vertex.
Convert 68% As a fraction
Answer:
68/100
Step-by-step explanation:
It would be this because, with percentages, 100 is full. Therefore, we can just make 68 be out of 100. Hope this helps :)
Someone help me ASAP !!!!
Answer:
ok sure wait
Step-by-step explanation:
You open a money market account with $7500 at 5% compound quarterly. After two years, $1500 is withdrawn from the account to buy a new computer. A year later, $2000 is put in the account. What will be the ending balance if the money is kept in the account for another three years?
Answer:
$10,596.81
Step-by-step explanation:
The balance on an account earning 5% interest compounded quarterly can be found using the formula ...
A = P(1 +0.05/4)^(4t)
where P is the principal invested and t is the number of years.
__
Here, we are investing $7500.00. After 2 years, the account balance will be ...
A = $7500(1 +0.05/4)^(4·2) = $8283.65
After the $1500 withdrawal, the new balance will be ...
$8583.65 -1500.00 = $6783.65
__
This is the amount earning interest for the next year, after which time the balance will be ...
A = $6783.65·(1.0125)^(4·1) = $7129.24
When $2000 is added to the account, the principal earning interest for the last 3 years is ...
$7129.24 +2000.00 = $9129.24
__
The final balance after 3 more years is then ...
A = $9129.24·(1.0125)^(4·3) = $10,596.81
_____
These calculations are conveniently carried out by a spreadsheet, as in the attached. Since the account changes are all done at the end of the year, we don't have to keep track of the quarterly balances. The formula used to calculate the ending balance each year is shown.