1. Solve the formula h = 42t + 1/2at^2 for a

2. Solve the formula P = 2L + 2W for L.

Answers

Answer 1

Answer:

1)  a = (2h-84t) / t²

2) L = (P-2W) / 2

Step-by-step explanation:

Formula #1:

step 1: subtract 42t

1/2at² = h - 42t

step 2: multiply by 2

at² = 2h - 84t

step 3: divide by t²

a = (2h - 84t) / t²

Formula #2:

step 1: subtract 2W

P - 2W = 2L

step 2: divide by 2

L = (P-2W) / 2


Related Questions

Vicky is renting an apartment.In addition to the first month’s rent, the landlord requires him to pay half of a month's rent as security-deposit and 40% of a month's rent for utility bills before moving in.The total amount he has to pay the landlord before moving in is $3800. What is monthly rent ?

Answers

Answer:

$2000

Step-by-step explanation:

Let the monthly rent be x.

Then we have:

x + 0.5x + 0.4x = 38001.9x = 3800x = 3800/1.9x = 2000

Monthly rent is $2000

Answer:

the answer to your question is $2000

What is the value of x in the equation 3x-4y=65, when y=4?
O x=134
O x=21 1 / 3
O x=23
O x=27

Answers

Answer:

27

Step-by-step explanation:

3x-4y=65

3x-4(4)=65

3x-16=65

3x=65+16

3x=81

x=81/3

x=27

SOMEONE PLZZ HELP, I HAVE A TEST AND DONT KNOW HOW TO DO THIS!!

Answers

I believe it is C.
Good luck!

Ms. Rios washed 2 5 of her laundry. Her son washed 1 3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?

Answers

Answer:

The son has washed most of the laundry.

Step-by-step explanation:

3 x 10 ^4 as an ordinary number

Answers

Answer:

30,000

Step-by-step explanation:

First exponents first so 10^4 is 10,000

10,000 times 3 is 30,000

The ordinary number for the given scientific notation is 30000.

What is scientific notation?

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

The given scientific notation is 3×10⁴.

To write scientific notation in ordinary number, multiply the number of 10 powers.

Now, 10⁴ can be expanded as 10×10×10×10=10000

So, 3×10⁴=3×10000

= 30000

Therefore, the ordinary number is 30000.

To learn more about the Scientific notation visit:

https://brainly.com/question/18073768.

#SPJ2

The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

the one on the left is 3 times larger than the one on the right. in other words, the right triangle's dimensions times 1/3 is equal to the left triangle's dimensions.

d varies jointly with w and p and inversely with u

In your equation, use k as the constant of proportionality.

Answers

Answer:

huh?

Step-by-step explanation:

If D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.

What is proportion?

A mathematical comparison of two numbers is known as proportion. If two sets of given numbers increase or decrease in the same ratio, the ratios are said to be directly proportional to each other, according to proportion.

How to solve this problem?

Given that D varies jointly with w and p. Then it can be written as

D ∝ w × p ...(1)

Again D varies inversely with u.

Then, D ∝ 1/u ...(2)

From (1) and (2), D ∝ (wp)/u ...(3)

We can take k as the constant of proportionality.

So, (3) becomes, D = k(wp/u) = (kwp)/u

Therefore, if D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.

Learn more about proportionality here -

https://brainly.com/question/12809482

#SPJ2

A car is traveling at a constant speed. Find the number of miles the car travels in 1 hour at the given rate of 135 miles in 3 hours.

Answers

the answer is 45 miles per 1 hour

Two sides of a triangle have the same length. The third side measures 3 m less than twice that length. The perimeter of the triangle is 25m. Find the lengths of the three sides.

Answers

Answer:

two sides have the length of 7m

third side is 11m

Step-by-step explanation:

perimeter is the sum of all sides

let 'n' = length of congruent sides

let '2n - 3' = length of third side

25 = n + n + 2n - 3

25 = 4n - 3

28 = 4n

n = 7m

2(7) - 3 = 11m

Factor the expression using the GCF.
100 – 80

Answers

Answer:

The Greatest Common Factor (GCF) for 100 and 80, notation GCF (100,80), is 20.

Step-by-step explanation:

Answer:

20 gcf

Step-by-step explanation:

JCF the first 20 yan ata hehehheheheheheheh

I need some homework help please.

Answers

I think the person on top got you with the answer

Answer:

x^2-5x=6

x^2-5x-6=0

x^2+x-6x-6=0

x(x+1)-6(x+1)=0

(x-6)(x+1)=0

x=6, -1

-5x= -30, 5

Step-by-step explanation:

What is the area of the shaded region? Round to the nearest tenth.

Answers

Answer:

The answer is 50.2cm²

Step-by-step explanation:

Area of the whole circle (the whole shape)

A= πr²

A= 3.14 x (5cm)²

A= 3.14 x 25cm

A= 78.5cm²

Area of the part in the middle (non-shaded part)

A= πr²

A= 3.14 x (3cm)²

A= 3.14 x 9cm

A= 28.26cm²

78.5cm² - 28.26cm² = 50.24cm²

Answer rounded to the nearest tenth: 50.2cm²

Hope this helps :)

helppppppppppppppppppppppppppppp

Answers

4*((7x-6)+(4x-3))=360

7x-6+4x-3=90

11x=99

x=9

∠ACD = (7x-6)=7*9-6 = 57°

BD is the angle bisector of ∠ADC
Therefore ∠ADC=(8x-6)°

Same for ∠DCB, AC bisects ∠DCB
Therefore ∠DCB=(14x-12)°

Because AD//BC, ∠DCB+∠ADC=180°
i.e. 22x-18=180
x=9

How do you write 246% as a fraction or mixed number?

Answers

Answer:

246/100 as a fraction, and 2 46/100 as a mixed number..

Step-by-step explanation:

Answer: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

2 and 23/50

or as a simplified fraction 123/50

Step-by-step explanation:

Mrs. Hanley wants to put her 29 students into groups of 6 how many groups of 6 can she make if she puts any remaining students in the smaller group how many students will be in that group. Haley wants to put 29 students into groups of six how many of six can she make if she puts any remaining students in a smaller group how many students will be in

Answers

Answer: she can make 4 groups of 6 and there will be 5 left in the other group

Step-by-step explanation: because im right

Y = 5x + 4
Y = 3x+10
solve for the solution (x,y)?​

Answers

Answer:

The solution (x,y) is (3,19).

Step-by-step explanation:

We are given two equations for y.

y = 5x + 4

y = 3x + 10

They are equal, which means that we can find x. So

5x + 4 = 3x + 10

2x = 6

x = 3

With x, we can find y:

y = 5*3 + 4 = 19

So the solution (x,y) is (3,19).

PLEASE I WILL MARK BRAINLIEST 22. Find the measure of angle HJK.

Answers

Answer:

i think its 38 but i could be wrong sorry

Step-by-step explanation:

Andres bought 3 shirts that each cost the same amount and a pair of jeans that cost $40. The items he
bought cost a total of $106 before tax was added.



PART A: Create an equation to find s, the cost of each shirt.


Reminder! Your equation should not have any spaces included in it. Ex. 4x+2=10

PART B: What is the cost of each shirt?

Answers

shirt-x

a.3s+40=106

b. 3s= 66

s=22

if my answer helps please mark as brainliest.

Andres bought 3 shirts that each cost the same amount and a pair of jeans that cost $40. The items he
bought cost a total of $106 before tax was added.



PART A: Create an equation to find s, the cost of each shirt.


Reminder! Your equation should not have any spaces included in it. Ex. 4x+2=10

PART B: What is the cost of each shirt?

Please help, I have no idea how to do this one

Answers

8x-1 = 6x+9
x = 5
BC = 3x-2 = 13

Sixteen players participated in a tennis tournament. Three players will be awarded for first, second, and third prize. In how many different ways can first, second and third prizes be awarded?

Answers

Answer:

Total number of ways in which first, second and third prizes will be awarded = 560

Step-by-step explanation:

As given,

There are 16 players participated in a tennis tournament.

and 3 players will be awarded for first, second, and third prize.

As we know,

ⁿCₓ = [tex]\frac{n!}{x! (n-x)!}[/tex]

n = the number of items.

x = how many items are taken at a time.

As given, n = 16 , x = 3

⇒¹⁶C₃ = [tex]\frac{16!}{3! (16-3)!} = \frac{16!}{3! (13)!} = \frac{16.15.14.13!}{3! (13)!} = \frac{16.15.14}{3!} = \frac{16.15.14}{3.2.1} = \frac{3360}{6} = 560[/tex]

∴ we get

Total number of ways in which first, second and third prizes will be awarded = 560

PLS I NEED HELP: Which one of the following is an exponential growth function?
A. y = (1.5)^x
B.y = (2/3)^x
C. y = (1/2)^x
D. y = (0.5)^x

Answers

A. y=(1.5)^x is your answer

3
8
8
1
.
2. I need help!!!!!

Answers

Answer:

3 7/8

Step-by-step explanation:

8 3/8 - 4 1/2 =

8 3/8 - 4 4/8=

7 11/8 - 4 4/8 =

3 7/8

Answer:

The person above is correct

Step-by-step explanation:

When subtracting fraction you should make sure the deniminators (bottom number of fraction) of both fractions are the same number so you can subtract evenly. Also note whatever you do to the deniminator, you do to the numerator (top number). In this example you turn 1/2 to 4/8 in order to subtract.

What type of angle is this?
A. Straight angle
B. Supplementary
C. Complementary ​

Answers

The answer is, C. Complementary
I’m pretty certain it’s C. Complementary.

long division: Problem type 2 Divide, (12x3 +14x2+24x+9) = (4x2+2x) Your answer should give the quotient and the remainder Quotient: 3 3 Remainder: 1 X ?​

Answers

9514 1404 393

Answer:

quotient: 3x +2remainder: 20x +9

Step-by-step explanation:

Just as with numerical long division, the product of the partial quotient and the divisor is subtracted from the dividend to get the new dividend. The partial quotient is the ratio of the highest-degree terms of dividend and divisor. The process ends when the degree of the dividend is less than the degree of the divisor.

In the jone school library,10/20 of the computers have scanners.in simplest form, which fraction of the computers have scanners? 1/2 1/4 5/10 6/12

Answers

Answer:

1/2

Step-by-step explanation:

Suppose you have a student loan of ​$45,000 with an APR of 9​% for 30 years. Complete parts​ (a) through​ (c) below.

Answers

A.through
Sana makatulong

13/10 ÷ 2/10 = ?????​

Answers

Answer:

6.5

Step-by-step explanation:

13/10÷2/10= 13/10*10/2

cancel out the 10 and that leaves you with 13/1*1/2=13/2

simplify 13/2 and that leaves you with 6.5

Answer:

[tex]6\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{13}{10}[/tex]  ·  [tex]\frac{10}{2}[/tex] (Cross out the tens) = [tex]\frac{13}{2}[/tex]

2/13 = 6 R.1     [tex]6\frac{1}{2}[/tex]

x
8
17
Find the exact value of x.
X=

Answers

Answer:

621

629

Step-by-step explanation:

We know that

sin

(

x

+

y

)

=

sin

x

cos

y

+

sin

y

cos

x

If

cos

x

=

8

17

and

sin

y

=

12

37

We can use,

cos

2

x

+

sin

2

x

=

1

and

cos

2

y

+

sin

2

y

=

1

To calculate

sin

x

and

cos

y

sin

2

x

=

1

cos

2

x

=

1

(

8

17

)

2

=

225

17

2

sin

x

=

15

17

cos

2

y

=

1

sin

2

y

=

1

(

12

37

)

2

=

1225

37

2

cos

y

=

35

37

so,

sin

(

x

+

y

)

=

15

17

35

37

+

12

37

8

17

=

621

629

Answer link

Shwetank Mauria

Nov 22, 2016

sin

(

x

+

y

)

=

621

629

or

429

629

depending on the quadrant in which sine and cosine lie.

Explanation:

Before we commence further, it may be mentioned that as

cos

x

=

8

17

,

x

is in

Q

1

or

Q

4

i.e.

sin

x

could be positive or negative and as

sin

y

=

12

37

,

y

is in

Q

1

or

Q

2

i.e.

cos

y

could be positive or negative.

Hence four combinations for

(

x

+

y

)

are there and for

sin

(

x

+

y

)

=

sin

x

cos

y

+

cos

x

sin

y

, there are four possibilities.

Now as

cos

x

=

8

17

,

sin

x

=

1

(

8

17

)

2

=

1

64

289

=

225

289

=

±

15

17

and

as

sin

y

=

12

37

,

cos

y

=

1

(

12

37

)

2

=

1

144

1369

=

1225

1369

=

±

35

37

Hence,

(1) when

x

and

y

are in

Q

1

sin

(

x

+

y

)

=

15

17

×

35

37

+

8

17

×

12

37

=

525

+

96

629

=

621

629

(2) when

x

is in

Q

1

and

y

is in

Q

2

sin

(

x

+

y

)

=

15

17

×

35

37

+

8

17

×

12

37

=

525

+

96

629

=

429

629

(3) when

x

is in

Q

4

and

y

is in

Q

2

sin

(

x

+

y

)

=

15

17

×

35

37

+

8

17

×

12

37

=

525

+

96

629

=

621

629

(4) when

x

is in

Q

4

and

y

is in

Q

1

sin

(

x

+

y

)

=

15

17

×

35

37

+

8

17

×

12

37

=

525

+

96

629

=

429

629

Hence,

sin

(

x

+

y

)

=

621

629

or

429

629

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=57(0.4)^x

Answers

Answer:

Decay, 60%

Step-by-step explanation:

Remember that the exponential function is written in the form [tex]y=ab^x[/tex]. In this problem, a=57 and b=0.4. A function is considered a growth function when [tex]b>1[/tex]. Since 0.4 not greater than 1, this is an exponential decay function.

Now, to find the rate of decrease we can use part of the form [tex]y=a(1-r)^x[/tex].

[tex]1-r[/tex] represents the percentage decrease, in this case, 0.4. If that entire term is 0.4, we need to solve for [tex]r[/tex].

[tex]1-r=0.4\\r=0.6[/tex]

So, the rate of percentage decrease is 60%.

I hope this helps!

According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6

Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.001.
a.
y = 67.577 sine (0.500 x minus 1.959) + 20.077
b.
y = 20.077 sine (0.500 x minus 1.959) + 67.577
c.
y = 20.077 sine (1.959 x minus 0.500) + 67.577
d.
y = 20.077 sine (67.577 x minus 1.959) + 0.500

Answers

Answer:

b. y = 20.077 sin(0.500x - 1.959) + 67.577

Step-by-step explanation:

The easiest way to solve

1. Plot the points for one year2. Add the functions to same graph and compare

This gave us the option B as the best fit line

See the graph below

Step-by-step explanation:

the dude above me is right

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