If y varies inversely as x and y=37 when x=33, find y if x=5
Answers
Answer: y=6
Explanation:
Related Questions
100 points
Aaron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries. His total cost is $10.50. The next week, he goes with two other friends. They order four hamburgers and three French fries. This time the total is $19.50. Choose two equations that could be used to determine the cost of hamburgers (h) and French fries (f).
Answers
Each french fry costs $1.5 and hamburger $3.75
=================
two hamburgers + two French fries = $10.50 ____ equation 1four hamburgers + three French fries = $19.50 _____equation 2Consider hambugers as "h" and fench fries as "f"
2h + 2f = 10.5 ___ equation 14h + 3f = 19.5 ___ equation 2We can solve them to find the cost of each hambuger and fench fry
Solve for f :
(10.5 - 2f)/2 = (19.5 -3f)/442 - 8f = 39 -6f-6f + 8f = 42 - 392f = 3f = 1.5Solve for h :
h = (10.5 - 2f)/2h = (10.5 - 2(1.5))/2h = 3.75A case of soda has 12 cans. Each can holds 360 milliliters of soda. What is the total
number of liters of soda in the case?
Answers
Answer:
4.32 Liters
Step-by-step explanation:
12*360 mL= 4320 mL
mL to L= mL/1000
4320/1000= 4.32
The Jones' old $47,000, 30 year, 12.8% mortgage has a monthly payment of $512.58. Over the 6 years since they took the loan, mortgage rates dropped. They can now apply for a mortgage at 9.05%, which will result in a new monthly payment of $369.36. To refinance, they must pay $1,020 in closing costs and a $480 prepayment penalty. Find the net amount they will save in the first year.
Answers
The net amount that will be saved by the Jones for the first year will be $814.32.
How to calculate the net amount?From the information given, the old mortgage yearly payment will be:
= Monthly payment × Months
= $259.32 × 12
= $3111.84
The new monthly yearly payment will be:
= Monthly payment × Months
= $327.18 × 12
= $3926.16
Therefore, the net amount that will be saved will be:
= $3926.16 - $3111.84
= $814.32
Learn more about net amount on:
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Find the minimum distance from the parabola x-y^2=0
to the point (0,3).
Answers
Answer:
√5
Step-by-step explanation:
The distance from the given point to the curve can be found using the distance formula. The resulting expression can be minimized to find the minimum distance.
d = √((x2 -x1)² +(y2 -y1)²)
__
Point on the ParabolaA point on the parabola can be described by ...
x -y² = 0
x = y² . . . . . add y²
Then a point on this curve is ...
(y², y)
Distance to Given PointThe distance to it from (0, 3) is ...
d = √((0 -y²)² +(3 -y)²) = √(y⁴ +y² -6y +9)
Find the MinimumThe distance will be minimized when the derivative of the radical expression is zero:
d(y⁴ +y² -6y +9)/dy = 0 = 4y³ +2y -6
0 = 2y³ +y -3 . . . . . . . . remove a factor of 2
This will have a rational root in the set {±1, ±3}.
Trial and error shows that y=1 is the only real solution to this equation.
__
Then the minimum distance is ...
d = √(1⁴ +1² -6·1 +9) = √5
_____
Additional comment
The attached graph shows that a circle with radius √5 centered at (0, 3) will intersect the parabola at exactly one point. That confirms our solution.
For problems 11-14, identify the property shown. 11. 16×p=16.
Answers
Answer:
Step-by-step explanation:
11. identity property
12. associative property
13. commutative property
14. zero property
In the diagram below of ABC, AB ≅ AC, m∠A = 3x, and m∠B = x + 20.
What is the value of x?
A. 10
B. 28
C. 32
D. 40
Answers
Answer: B)28
Step-by-step explanation:
A garden measures 10 ft by 10 ft.
What is the area of the garden in square inches?
Answers
Answer:
1200 sq. in.
Step-by-step explanation:
(10x10)x12=100x12=1200
Which expression can be simplified to the form 3\y + 3, where y is a positive integer?
Answers
Answer: Choice B) [tex]\sqrt{63}[/tex]
========================================================
Explanation:
Let's rewrite the given expression like so
[tex]3\sqrt{y+3}=\sqrt{3^2}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9(y+3)}\\\\[/tex]
We can see that the radicand is a multiple of 9 since 9 is a factor.
This immediately rules out choices C and D because 75 and 84 are not multiples of 9.
-------------
Plug in the smallest positive integer (1) for y to get
[tex]\sqrt{9(1+3)}=\sqrt{9(4)} = \sqrt{36}\\\\[/tex]
The radicand 36 is larger than the radicand for choice A (18), meaning we can rule out choice A. There's no way to get a radicand of 18 since y = 1 is the smallest we can go for.
We can however get to 63 by using y = 4
[tex]\sqrt{9(4+3)}=\sqrt{9(7)} = \sqrt{63}\\\\[/tex]
Showing that choice B is of the form [tex]3\sqrt{y+3}[/tex] where y is a positive integer, specifically when y = 4.
If
a
1
=
8
a
1
=8 and
a
n
=
5
a
n
−
1
+
5
a
n
=5a
n−1
+5 then find the value of
a
5
a
5
.
Answers
Answer:
55a=
step-by-step explanation:
Answer:
-3125
Step-by-step explanation:
Got it right on delta
What's the median for 0 2 4 6 8 10
Answers
Answer:
5 would be the midian
Step-by-step explanation:
You would need to add 0+2+4+6+8+10
Then count how many numbers there are (6)
Then put it in a fraction
30/6
Then divide and then you get 5
Answer:
21,67
Step-by-step explanation:
0+2+4+6+8+10 all divided by numbers in the set data[6]=21,67
What is the 6th term in this sequence? 1, 3, 9, 27, . . .
Answers
Answer:
a₆ = 243
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
3 ÷ 1 = 9 ÷ 3 = 27 ÷ 9 = 3
this indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = 3 , then
a₆ = 1 × [tex]3^{5}[/tex] = 243
243
Solution:We have a geometric sequence here, meaning that we use multiplication/division in order to get to the next term.In this case, we multiply each term by 3.1 times 3 is 3, 3 times 3 is 9, 9 times 3 is 27...In order to find the sixth term, we should take the fifth term and multiply it by 3.In order to find the fifth term, we need to take the fourth term and multiply it by 3.Multiply:81So the fifth term of this sequence is 81.Now, multiply 81 times 3:243Therefore, the sixth term in this sequence is equal to 243.Hope it helps.
Do comment if you have any query.
The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.
Answers
In analysis of variance, then the term factor refers to_______
a) a dependent variable
b) a treatment total
c) an independent variable (or quasi-independent) variable
d) a treatment mean
Answers
Rewrite the equation below so that it does not have fractions.
3+ 2/3 x = 2/5
Answers
Answer:
3 + 2 divided by 3 = 2 divided by 5
Step-by-step explanation:
4. In 2003, Mississippi’s labor force totaled
1,312,700 persons. The unemployment rate in
the state was 5.6 percent. Approximately how
many people were employed in that year?
Round your answer to the nearest thousand.
Answers
employed: 1,312,700 people
total people : 1,312,700 unemployment : 5.6%employed : 100% - 5.6% = 94.4%employed people:
94.4% * 1,312,700 1239188.8≈ 1239189 peopleUnemployed persons
5.6% of 13127000.056(1312700)73511Employed persons
1312700-735111238989[tex]tan((x/2)-(pi /2))=\sqrt2[/tex]
Answers
[tex]\textit{Cofunction Identities} \\\\ sin\left(\theta-\frac{\pi}{2}\right)=-cos(\theta) \qquad\qquad cos\left(\theta-\frac{\pi}{2}\right)=+sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan\left(\frac{x}{2}~~ - ~~\frac{\pi }{2} \right)~~ = ~~\sqrt{2}\qquad \qquad \qquad \stackrel{\textit{let's make for a second}}{\cfrac{x}{2}=\theta } \\\\[-0.35em] ~\dotfill[/tex]
[tex]tan\left(\theta-\frac{\pi}{2}\right)\implies \cfrac{sin\left(\theta-\frac{\pi}{2}\right)}{cos\left(\theta-\frac{\pi}{2}\right)}\implies \cfrac{-cos(\theta )}{+sin(\theta )}\implies -cot(\theta )\implies -cot\left( \frac{x}{2} \right)[/tex]
[tex]-cot\left( \frac{x}{2} \right)~~ = ~~\sqrt{2}\implies cot\left( \frac{x}{2} \right)=-\sqrt{2} \\\\\\ cot^{-1}\left[ cot\left( \frac{x}{2} \right) \right]=cot^{-1}\left(-\sqrt{2} \right)\implies \cfrac{x}{2}=cot^{-1}\left(-\sqrt{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=2\left[ cot^{-1}\left(-\sqrt{2} \right) \right]~\hfill[/tex]
What is the volume of Prism B if the volume of Prism A is 1120 in??
Answers
Answer:
140 in³
Step-by-step explanation:
The ratio of volumes of similar objects is proportional to the cube of the ratio of the linear dimensions.
__
Here, prism B is half the height of prism A, so will have (1/2)³ = 1/8 of the volume of prism A:
Vb = (1/8)×Va
Vb = (1/8)×(1120 in³) = 140 in³
The volume of Prism B is 140 cubic inches.
your checking account balance as ameasure of money you have in that account which type of scale nominal,ordinal?
Answers
Answer:
Ratio
Step-by-step explanation:
1. Your checking account number as a name for your account. Nominal (renaming)
2. Your checking account balance as a measure of the amount of money you have in that account. Ratio
3. Your checking account balance as a measure of your wealth. Interval
4. The number you get from a machine (32, 33,...) as a measure of the time you arrived in line. Ordinal
5. The order in which you were eliminated in a spelling bee as a measure of your spelling ability. Interval
6. Your score on the first statistics test as a measure of your knowledge of statistics. Ratio
7. Your score on an individual intelligence test as a measure of your intelligence. Nominal
8. The distance around your forehead measured with a tape measure as a measure of your intelligence. Interval
9. A response to the statement "Abortion is a woman's right" where Strongly Disagree = 1, Disagree = 2, No Opinion = 3, Agree = 4, and Strongly Agree = 5, as a measure of attitude toward abortion. Ordinal
hope it helps:)
In a lottery, the top cash prize was $657 million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 43.
A player wins a minimum award of $200 by correctly matching four numbers drawn from the white balls (1 through 53) and matching the number on the gold ball (1 through 43). What is the probability of winning the minimum award?
Answers
Answer:
1 chance in 123,396,455
Step-by-step explanation:
Number of permutations of 5 out of the 53 = 53*52*51*50*49 = 344362200
Number of permutations of 4 out of these 5 correct = 120
So number permuations for first 53 = 344362200/ 120 = 2869685
So for minimum prize there are 2869685 * 43 = 123396455 perms.
Using synthetic division, what is the width of the rectangle?
5 x squared + 4 x minus 6
5 x squared + 34 x + 108 + StartFraction 306 Over x + 3 EndFraction
5 x cubed + 4 x squared minus 6 x
5 x squared + 34 x + 108 + StartFraction 306 Over x minus 3 EndFraction
Answers
Answer:
c
Step-by-step explanation:
c
Answer:
its A!!!
Step-by-step explanation:
Question 3
Compute the probability of Susan turning 44 years old (event A), given that Carl has reached the age of 44 (event B).
Answers
Answer:
Events A and B are independent of each other, so P(B∣A)=P(B)=0.95726.
Explanation -
I got this answer from Plato.
The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written is all I haven’t figured out
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex] \qquad \sf \dashrightarrow \:y = a \sin(bx) + k[/tex]
Now, let's find the required values :
period (p) = 4
[distance between any successive Crest or trough]
a = - 3 (flipped)
b = 2π/p = 2π/4 = π/2
k = 1
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]
which expression is equivalent to squareroot 36/25
Answers
The correct answer would be: 6/5
Mai received and spent money in the following ways last month. For each example, write a signed number to represent the change in money from her perspective.
1. Her grandmother gave her $25 in a birthday card.
2. She earned $14 dollars babysitting.
3. She spent $10 on a ticket to the concert.
4. She donated $3 to a local charity.
5. She got $2 interest on money that was in her savings account.
Answers
The signed numbers that represent a change in money from her perspective is:
+$25
+$14
-$10
-$3
+$2
What are the signs to put in front of the amounts?When a person receives money, earns interst or his paid wages, the amount of money the person has increases. Thus, the sign to be used is the addition sign(+).
When a person pays for an item, donates to charity or loses money, the amount of money the person has reduces. Thus, the sign to be used is the subtraction sign (-).
To learn more about addition, please check: https://brainly.com/question/349488
Which shows the solution set to the
inequality below?
2x+35-5
A. H
-5 -4 -3 -2 -1
0 1
++
2 3 4 5
-
B. +
HHHHHH
-5 -4 -3 -2 -1 0 1 2 3 4 5
C. HA
++++
-5 -4 -3 -2 -1 0 1
0 1 2 3 4 5
D.
-5 -4 -3 -2 -1
+++++
0 1 2 3 4 5
Answers
Answer:
The answer is C hope this can help you out!
Callie runs 30 minutes a day. She has already run 90 minutes this week. How many days will it take her to run at least 240 minutes?
Answers
150/30=5 MORE days (or 8 TOTAL days if that’s what you’re looking for)
Find the measure of each angle in the isosceles trapezoid.
Answers
Answer:
J=118
L=62
M=62
Step-by-step explanation:
In an isoseles trapezoid, the top angles are congruent to each other and the bottom angles are congruent to each other. Opposite angles are supplementary, and all angles together add up to 360.
Write an expression that can be used to produce vector g from vectors e and f Explain how
you determined that expression.
Answers
Answer:
Step-by-step explanation:
vector e is (-1,5),f is (3,-4),g is (2,1)
2i+j=x(-i+5j)+y(3i-4j)
2=-x+3y (multiply by 5)
10=-5x+15y
1=5x-4y
add
11=11y
y=1
2=-x+3(1)
x=3-2=1
2i+j=1(-i+5j)+1(3i-4j)
Un terreno rectangular cuyo ancho mide 20 mts menos que su largo. Su área del terreno es de 150 metros cuadrados. ¿Determina las medidas del largo y del ancho?
Answers
Answer:
you are a good friend Sayed im not sure if I can get it done before I get my license back and the whole time we go back and be out in a bit I guess that was the best thing I ever heard of the beast's I have
Lines a, b, c, and d Intersect as shown.
124
95
42°
53
39°
95°
What is x ?
Answers
Answer:
95 is the answer I took the test
