Answers
Related Questions
Select the correct answer.
Which function is the inverse of function
f(x) = -2
Answers
Answer:
B
Step-by-step explanation:
let f(x) = y and rearrange making x the subject
y = [tex]\frac{x+2}{7}[/tex] ( multiply both sides by 7 to clear the fraction )
7y = x + 2 ( subtract 2 from both sides )
7y - 2 = x
Change y back into terms of x with x the inverse function, that is
p(x) = 7x - 2
PLEASE HELP! I WILL GIVE BRAINLIEST!?!
Answers
X=pie/4 +pie n, pie/3 +2 pie n, 5pie/3 +2 pie n
This is the full set of solutions. Let me know if this isn’t what you wanted or need an explanation.
You deposit $500 in an investment account. The rate of growth is 6% a year. If you make no further deposits or withdrawals, and the investment is allowed to grow uninhibited, how long will it take for your investment to reach $1,500? Round to the nearest tenth.
A. 18.3 years
B. 45.1 years
C. 27.6 years
D. 8.0 years
Answers
With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.
As per the given,
Principle amount P = $500
Rate of interest r = 6% annually
Total investment = P(1 + r)^T
1500 = 500(1 + 0.06)^T
300 = 1.06^T
Take natural logs on both sides
ln300 = T ln1.06
T = 18.3 years
Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".
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What is the volume of the rectangular prism?
Answers
Answer:
54 in³
Step-by-step explanation:
9×3×2 = 54 in³
_______
Does the quadratic have a maximum or minimum
vertex, and does the parabola open up or down?
A)max/ opens up
B)max/ opens down
C)min/ opens up
D)min/ opens down
Answers
Answer:
B)max/ opens down
Step-by-step explanation:
Parabola equation:
The equation of a parabola has the following format:
[tex]y = ax^2 + bx + c[/tex]
If [tex]a > 0[/tex], that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.
If [tex]a < 0[/tex], that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.
In this question:
[tex]y = -x^2 - 2x + 3[/tex]
From the graph, we already see that it opens down and has a max, and analitically, since [tex]a = -1 < 0[/tex], this is confirmed. The correct answer is given by option b.
Use the angle relationship in the figure below to solve for x. Assume that lines a and b are parallel and the given angles are given in degrees.
Answers
9514 1404 393
Answer:
x = 5°
Step-by-step explanation:
The marked angles are "alternate exterior angles," hence congruent.
2x +90° = x +95°
x = 5° . . . . . . . . . . . . subtract (x+90°) from both sides
3.a circle of radius 5 units passes through the points (- 3,3) and (3,1) .
i.how many circles can be drawn that meet the given criteria?
ii. what can be the centre of a circle(S)
b. the equation of any two diameters of a circle are given by the straight lines x-y-4=0 and 2x+ 3y + 7 =0.
find the equation of the circle if it passes through the point (2,4).
Answers
Answer:
See belowStep-by-step explanation:
Given:
Points (- 3,3) and (3,1) on a circler = 5i.
There are possible two points that can have a distance of 5 units from both of the given points, so possible two centers, hence two possible circles.
ii.
Let the points are A and B and the centers of circles are F and G.
The midpoint of AB, the point C is:
C = ((-3 + 3)/2, (3 + 1)/2) = (0, 2)The length of AB:
AB = [tex]\sqrt{(3 + 3)^2 + (1 - 3)^2} = \sqrt{6^2+2^2} = \sqrt{40} = 2\sqrt{10}[/tex]The distance AC = BC = 1/2AB = [tex]\sqrt{10}[/tex]
The distance FC or GC is:
FC = GC = [tex]\sqrt{5^2-10} = \sqrt{15}[/tex]Possible coordinates of center are (h, k).
We have radius:
(h + 3)² + (k - 3)² = 25(h - 3)² + (k - 1)² = 25Comparing the two we get:
(h + 3)² + (k - 3)² = (h - 3)² + (k - 1)²Simplifying to get:
k = 3h + 2We consider this in the distance FC or GC:
h² + (k - 2)² = 15h² + (3h + 2 - 2)² = 1510h² = 15h² = 1.5h = √1.5 orh = - √1.5Then k is:
k = 3√1.5 + 2 ork = -3√1.5 + 2So coordinates of centers:
(√1.5, 3√1.5 + 2) for G or(√1.5, 3√1.5 + 2) for F (or vice versa)-------------------------------------------------------------------------------------
b.
Diameters:
x - y - 4 = 02x + 3y + 7 = 0The intercession of the diameters is the center. We solve the system above and get. Not solving here as it is already a long answer:
x = 1, y = -3The point (2, 4) on he circle given.
Find the radius which is the distance between center and the given point:
r = [tex]\sqrt{(2 - 1)^2+(4+3)^2} = \sqrt{1^2+7^2} = \sqrt{50}[/tex]The equation of circle:
(x - 1)² + (y + 3)² = 50What is the missing number?
The possible answers are -19, 19, 24 and -15
Answers
Answer:
15 because it says -(-2) so that means it is negative in something so your answer will be 15
Step-by-step explanation:
Explanation:
Let the unknown number be x
x - (-2) = -17
x + 2 = -17
x = - 17 - 2
x = -19
A baker makes 12 dozen
cookies, 18 dozen muffins, and
22 dozen scones every day.
How many baked goods does
she make in all every day?
Answers
Answer:
624
Step-by-step explanation:
12+18+22=52 52×12=624
Answer:
624
Step-by-step explanation:
12x12= 144 cookies
18x12= 216 muffins
22x12= 264 scones
144+216+264= 624
Question
Raymond wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 200
parents whether or not they use cloth diapers. What is the data?
Answers
Answer:
Step-by-step explanation:
Given : Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers.
The parameter are the number which are used to represents the quantity of a particular characteristic in entire population.
We know that to estimate the percentage of success we use the proportion of success parameter "p".
Hence, the parameter here is "p" , the proportion of parents that use cloth diapers.
Answer:
specific "yes" or "no" responses to the survey
Step-by-step explanation:
Got it right
Please help me with this please
Answers
9514 1404 393
Answer:
0
Step-by-step explanation:
The forces are equal and opposite, so the net force is zero.
5N -5N = 0
Plz help me well mark brainliest if correct!!..
Answers
Answer: A/The LINE graph
Step-by-step explanation:
Express 75cm/s in m/s
Answers
Step-by-step explanation:
75 cm/s
75/100 m/s
0.75 m/s
(SINCE 100 CM =1M-------75 CM=75/100M)
at what rate percent of interest per annum will #700 gain an interest of #84 in 3 years
Answers
Answer:
4% per annum
Step-by-step explanation:
Recall :
Simple interest = principal * rate * time
Given that :
Time = 3 ; simple interest = 84 ; principal = 700
84 = 700 * rate * 3
84 = 2100 * rate
Rate = 84 /2100
= 0.04
= 0.04 * 100% = 4% per annum
I need help asap
Do the following sides form a triangle?
25 cm
17 cm
42 cm
Answers
1,3,6,10,15,21,28,36,45
Answer:
no
explanation:
Side lengths do not adhere to the triangle inequality theorem. Which states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side
may you help me with this question?
Answers
Step-by-step explanation:
OK so add the 66 and the square=90, so add 66 and 90 then subtract it from 180 and then you will get x
Step-by-step explanation:
On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.Examples of magnetic force is a compass, a motor, the magnets that hold stuff on the refrigerator, train tracks, and new roller coasters. All moving charges give rise to a magnetic field and the charges that move through its regions, experience a force.
A 2-pound bag of broccoli costs $4.48. What is the price per ounce?
Answers
Answer= $0.14 cents
Rewrite the expression in the form
Answers
Find sin S, sin R , cos S, and cos R.
Answers
Answer:
Step-by-step explanation:
sin S=21/75
sin R=72/75
cos S=72/75
cos R=21/75
Answer:
sin R = 72/75
cos R = 21/75
sin S = 21/75
cos S = 72/75
Step-by-step explanation:
sin = opposite side / hypotenuse
sin = adjacent side / hypotenuse
WILL GIVE U BRAINLIEST
What is the value of X by CPCTC?
A. 11
B. 8
C. 3
D. 7
E. Not enough info
Answers
The value of x by CPCTC is 3.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the value of x.
CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.
The side x is congruent to the quadrilateral having length 3.
the value of x is 3
Hence, the value of x by CPCTC is 3.
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Three stores have the same mp3 player
for sale. The regular price of the player is
$50. Store A is offering the player on sale
at 15% off the regular price. Store B is
offering a $10 coupon to be deducted
from the regular price. Store C is offering
a rebate of $7.50 to purchasers. Which
store is offering the mp3 player at the
lowest cost?
A Store A
B Store B
C Store C
Store A and Store C
Answers
Answer: Store C
Step-by-step explanation:
Store A is giving 15% off. 15% of 50 is 7.5.
50 - 7.5 = 42.5
Store B $10 dollar coupon.
50 - 10 = 40
Store C is offering $7.50 back.
50 - 7.50 = 42.5
Answer is store c
Store c is giving you $10 off where the other two stores are just give you $7.50.
Hope this helps.
PLEASE HELP
Makayla owns a small business selling used books. She knows that in the last week 58 customers paid cash, 25 customers used a debit card, and 2 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.
Answers
Answer:
2/5 :)
Step-by-step explanation:
58+2=60+25=85-25=60 60 = 2/5
The solution is 5/17
The probability that the next customer will pay with a debit card is given by the equation A = 5/17
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability that the next customer will pay with a debit card be A
Now , the equation will be
The number of customers who paid cash last week = 58 customers
The number of customers who used debit card last week = 25 customers
The number of customers who used credit card last week = 2 customer
So ,
The total number of customers = 58 + 25 + 2
The total number of customers = 85 customers
Now , the probability that the next customer will pay with a debit card A = number of customers who used debit card last week / total number of customers
Substituting the values in the equation , we get
Probability that the next customer will pay with a debit card A = 25 / 85
On simplifying the equation , we get
Probability that the next customer will pay with a debit card A = 5 / 17
Therefore , the value of A is 5/17
Hence , the probability is 5/17
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The figure shows a plane slicing through a cone. The plane is neither parallel nor perpendicular to the base of the cone, and the plane does not intersect the base of the cone.
Answers
==================================================
Explanation:
Imagine that this plane was a saw blade, or a laser, that cut the cone. We would have two pieces and each piece would have a shape of an ellipse on them. The cutting plane would also have the same ellipse shape.
Or you think of the cutting plane as a flat piece of cloth. If we cut everything around the cone, then we would have an ellipse shaped hole as a result.
The reason why we get an ellipse and not a circle is because the plane is angled like that. It needs to be perfectly parallel to the circular base in order to get a circular cross section.
Elena is conducting an experiment to determine if the high school students are more relaxed when the lights are off or when music is played during an exam. She selects 10 of her friends to take an exam with the lights off and another 10 of her friends to take an exam with music playing.
Required:
What is problematic about the way that Elena selected her groups?
Answers
Answer:
Problematic is that - only one factor should be analysed at a time. However she has considered both.
Step-by-step explanation:
Groups for any experimental study should be selected on the basis of one variable, other factor(s) remaining constant.
In this case, here are two variables - lights on or off, music playing or not playing - effecting relax level during exams.
She selects 10 students for exam with lights off , 10 for exam without music. This is problematic, as at once only lights or only music factor should be considered.
If one group is with light on , other should be with light off. If one group is with music, other should be without music. This mix up of one light off aspect & one music without music is inapt.
prove that (Cos A +cosB)^2+(SinA+sinB)^2=4cos^2(A-B/2)
Answers
Answer:
[tex](cosA + cos B)^2 + (sin A +sinB)^2 \\\\= cos^2A + cos^2B + 2cosA cosB + sin^2A +Sin^2B +2sinAsinB\\\\=(cos^2A + sin^2 A) + (cos^2B +sin^2B) +2cosAcosB + 2sinAsinB\\\\= 1 + 1 + 2cosAcosB + 2sinAsinB\\\\=2 + cos(A+B)+cos(A-B) + cos(A-B) -cos(A+B)\\\\=2 + 2cos(A-B)\\\\=2(1 + cos(A-B))\\\\=2\times 2 cos^2(\frac{A-B}{2})\\\\=4cos^2(\frac{A-B}{2})[/tex]
Hence proved .
Pleaseee answer thisss!!
Answers
76+2x=180
180-76=2x
104=2x
X=52
Answer:
x=52
Step-by-step explanation:
360=76+90+90+2x
2x=360-256
x=104/2
x=52
solve for y
1/4y + 3/6 = 2/3
Answers
Answer:
y = 2 /3
Step-by-step explanation:
A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the results and develops the probability distribution below for a randomly selected student. What is the mean of the probability distribution?
Probability Distribution
Hours Studied: X
Probability: P(X)
0.5
0.07
1
0.2
1.5
0.46
2
0.2
2.5
0.07
Answers
Answer:1.50
Step-by-step explanation:None
Answer: the answer is d
Step-by-step explanation:
The living room in a new house has the dimensions shown. What is the volume of the room?
Answers
Answer:
v = 220 yd²
Step-by-step explanation:
Small portion
v = 5 * 4 * 3
v = 60 yd²
Large portion
v = 9 * 6 * 3
v = 162 yd²
Total
v = 60 + 162
v = 220 yd²
thirty 5 points for this answer. no links.
4(a-2) = 2(a-4) + 2a
Answers
Answer:
a = 0
Step-by-step explanation:
4(a-2) = 2(a-4) + 2a
4a - 8 = 2a - 8 + 2a
4a - 2a - 2a = -8 + 8
0 = 0
This has infinitely many solutions.
Step-by-step explanation:
Any number you put for a would work to make them equal. Feel free to try it.