Find the input (x) of the function y=5x-3 if the output (y) is 32

Answer:

Step-by-step explanation:

diameter of the circle=smallest of the length and width=21 cm

r=21/2

area of the circle=πr²=22/7 ×(21/2)²=(21×441)/(7×4)=1323/4=330.75 cm²

The greatest counting number that divides 17, 25 and 41 and leaves the same remainder in each case is 8

Answer:

1. a. 2

b. -½

c. y - 3 = -½(x - 8) => point-slope form

y = -½x + 7 => slope-intercept form

2. a. -1

b. 1

c. y - 5 = 1(x - 3) => point-slope form

y = x + 2 => slope-intercept form

Step-by-step explanation:

1. (8, 3) and (10, 7):

a. The gradient for the line joining the points:

Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (8, 3) = (x_1, y_1) [/tex]

[tex] (10, 7) = (x_2, y_2) [/tex]

Plug in the values

Gradient = [tex] \frac{7 - 3}{10 - 8} [/tex]

Gradient = [tex] \frac{4}{2} [/tex]

Gradient = 2

b. The gradient of the line perpendicular to this line = the negative reciprocal of 2

Negative reciprocal of 2 = -½

c. The equation of perpendicular line if it passes through the first point, (8, 3):

Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).

Where,

(a, b) = (8, 3)

Slope (m) = -½

Substitute (a, b) = (8, 3), and m = -½ into the point-slope equation, y - b = m(x - a).

Thus:

y - 3 = -½(x - 8) => point-slope form

We cam also express the equation of the perpendicular line in slope-intercept form by rewriting y - 3 = -½(x - 8) in the form of y = mx + b:

Thus:

y - 3 = -½(x - 8)

y - 3 = -½x + 4

y - 3 + 3 = -½x + 4 + 3

y = -½x + 7

2. (3, 5) and (4, 4):

a. The gradient for the line joining the points:

Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (3, 5) = (x_1, y_1) [/tex]

[tex] (4, 4) = (x_2, y_2) [/tex]

Plug in the values

Gradient = [tex] \frac{4 - 5}{4 - 3} [/tex]

Gradient = [tex] \frac{-1}{1} [/tex]

Gradient = -1

b. The gradient of the line perpendicular to this line = the negative reciprocal of -1

Negative reciprocal of -1 = 1

c. The equation of perpendicular line if it passes through the first point, (3, 5):

Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).

Where,

(a, b) = (3, 5)

Slope (m) = 1

Substitute (a, b) = (3, 5), and m = 1 into the point-slope equation, y - b = m(x - a).

Thus:

y - 5 = 1(x - 3) => point-slope form

We can also express the equation of the perpendicular line in slope-intercept form by rewriting y - 5 = 1(x - 3) in the form of y = mx + b:

Thus:

y - 5 = 1(x - 3)

y - 5 = x - 3

y - 5 + 5 = x - 3 + 5

y = x + 2

Answer:

1 /64

Step-by-step explanation:

2^-6

We know that a^-b = 1/a^b

1 / 2^6

1/64

Answer:

3x - 14 = x + 30

[ Opposite angles of a ||gm are equal ]

=> 3x - x = 30+14

=> 2x = 44

=> x = 22

Therefore , option 4 is correct

hope that helps ✌

Answer:

2m² + 14m + 2

Step-by-step explanation:

3A + B

= 3(2m + 1) + 2m² - 1 + 8m ← distribute parenthesis by 3

= 6m + 3 + 2m² - 1 + 8m ← collect like terms

= 2m² + 14m + 2 ← in standard form

Answer:

5.9

Step-by-step explanation:

14 degrees dropped in 4 3/4, in one hour 56/19 degrees will drop. In two hours, 112/19=5.9 degrees will drop

Answer:

[tex](x + 7) * (3x + 1) = (3x^2 + 22x + 7)[/tex]

Step-by-step explanation:

Given

[tex](3x^2 + 22x + 7) \div (x + 7) = 3x + 1[/tex]

[tex](x + 7) * (\ ) = [\ ][/tex]

Required

Complete the blanks

We have:

[tex](3x^2 + 22x + 7) \div (x + 7) = 3x + 1[/tex]

Rewrite as:

[tex]\frac{(3x^2 + 22x + 7) }{ (x + 7)} = 3x + 1[/tex]

Cross multiply

[tex](x + 7) * (3x + 1) = (3x^2 + 22x + 7)[/tex]

Answer:

Answer B, C, C

Answer:

continuously is the most, and what is actually done at the banks...

as for your answer:

Compounded monthly

Step-by-step explanation:

When investing money in a bank account, you will have the most money in your account at the end of three years when compounded monthly.

Compound interest is the interest you earn on interest.

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

Where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

To check in which situation we will earn the most money in end of  three years, we calculate the final amount in each situation keeping other variables constant.

Let

P = 5000

r = 5%

t = 3 years

When compounded annually,

[tex]A = 5000(1 + 0.05)^{3} = 5788.125[/tex]

When compounded semiannually,

[tex]A = 5000(1 + 0.025)^{6} = 5798.467[/tex]

When compounded quarterly,

[tex]A = 5000(1 + 0.0125)^{12} = 5803.772[/tex]

When compounded monthly,

[tex]A = 5000(1 + 0.0125)^{12} = 5807.361[/tex]

Thus, it can be said that you have the most money in your account at the end of three years when compounded monthly.

Learn more about compound interest here

https://brainly.com/question/14295570

#SPJ2

Answer:

SA = 664 in.²

Step-by-step explanation:

Surface area of the rectangular prism = 2(LW + LH + WH)

Where,

Length (L) = 16 in.

Width (W) = 5 in.

Height (H) = 12 in.

Substitute the values

Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)

= 2(80 + 192 + 60)

= 2(332)

= 664 in.²

Answer:

13m

Step-by-step explanation:

volume of sphere = [tex]\frac{4}{3} * pi * r^{3}[/tex] = 3000π

4r^3/3 = 3000

r^3 =2250

r = ∛2250 = 13.10370 = 13

Answer:

Radius of the sphere is 13.1 m.

Step-by-step explanation:

Volume:

[tex]{ \boxed{ \pmb{volume = { \bf{ \frac{4}{3}\pi {r}^{3} }}}}}[/tex]

Substitute:

[tex]{ \tt{3000\pi = \frac{4}{3} \times \pi \times {( {r}^{3}) } }} \\ \\ { \tt{ {r}^{3} = \frac{3000 \times 3}{4} }} \\ \\ { \tt{r = \sqrt[3]{ \frac{3000 \times 3}{4} } }} \\ { \tt{r = 13.1 \: m}}[/tex]

Answer:

thats the question?

Step-by-step explanation:

Answer:

t+d/2

Step-by-step explanation:

Answer:

The price per toy is $6.25.

Step-by-step explanation:

The price per toy is calculated by dividing the cost of all toys by the number of toys.

$50/8 = $6.25

The price per toy is $6.25.

Answer:

a=9

Step-by-step explanation:

a^3 = 729

Taking the cube root of each side

a^3 ^(1/3) = 729^ (1/3)

a = 9

Step-by-step explanation:

ᵉᵃˢʸ ᵖᵉᵃˢʸ

2x²+2x+x+1

2x²+3x+1

Answer:

Higher...

Step-by-step explanation:

5.3.8 isn't really a legal number... if you meant 5.38 then it would be higher than 2. If you really meant 5.3.8 then I don't know.

Or is this code?

Say you have this: (sorry there's no indentation)

my_float = round(3.3312, 2)

while True:

guess = float(input("Guess my number: "))

if guess > round(my_float, 2):

print ("Too high!")

elif guess < round(my_float, 2):

print ("Too low!")

elif round(guess,2) == round(my_float, 2):

print("Correct!")

break

print("Great job guessing my number!")

You should be able to use the round function just like you do in the if statement. This can be done on a separate line between taking input and the if or it can be done on the same like.

guess = round(guess, 2)

Or:

guess = round(float(input(“Guess my number: “)), 2)

Hope this helped! Have a nice day!

Answer:

error in step one

Step-by-step explanation:

Sunny earns $22.75 per week delivering. delivery boy for 3 weeks.

That means $22.75 x 3 not $22.75 + 3

He can correct his mistake by doing this:

Step 1: [($22.75 * 3) + $32.75 - $14.25] * 1/ 5

Step 2: [$86.75] *1/5

Step 3: $17.35

Answer:

putting this so the other might be brainliest!

Step-by-step explanation:

also, be extremely careful, you put the link for your school and your teachers name on the top of the photo! sorry if i sound creepy lol, but yeah :)

Answer:

3,6

Step-by-step explanation:

Answer:

0.804

Step-by-step explanation:

Subtract 3.218 by 2.414

Answer:625/16 or 39,0625

Step-by-step explanation:

=5*5/2*5÷2*3/5*3

=160/64÷8/125

=625/16 or 39,0625

Answer:

Alternate form is 1525.87891

Answer:

20, 30

Step-by-step explanation:

let the intergers be x and y

x = 2/3y

from this eqn, we know that y is larger.

hence, y-x=10

y-2/3y=10

1/3y=10

y=30

x=2/3y =2/3(30) = 20

Answer:

5 meters tall.

Step-by-step explanation:

We know that angle A (the bird) is 55. The opposite side from this angle is 4.5 meters, since that is the distance she is from the tree. From this, we can set up an equation tan(55)=4.5/x and simplify it to x= 4.5/tan(55). This would be height x, but it is not accounting for the 1.5 meters the apple is off the ground, so you need to add 1.5 to the result. The final answer would be 4.65 but you need to round to the nearest meter so it would be 5.

Answer: 2x³ + 2x² + 36

Working:

= (2x + 6) × (x² - 2x + 6)

= 2x³ - 4x² + 12x + 6x² - 12x + 36

= 2x³ -4x² + 6x² +12x -12x +36

= 2x³ + 2x² + 36

Answered by Gauthmath must click thanks and mark brainliest

Answer:

0 = 7x-6y -99

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 7/6x+b

Using the point

-6 = 7/6(9) +b

-6 = 7*3/2 +b

-6 = 21/2 +b

Subtract 21/2 from each side

-12/2 -21/2 = b

-33/2 = b

y= 7/6x -33/2

Multiply each side by 6

6y = 7x - 99

Subtract 6y from each side

0 = 7x-6y -99

Answer:

4 kilometers

Step-by-step explanation:

First! Let's create an equation, with our variable (x) representing the number of additional fifth kilometers Dan can afford.

2 + 0.40x = 9.60

Now, we have to solve for our x value by subtracting 2 from both sides.

0.40x = 7.60

Next, we can divide both sides by 0.40 to find out what our x value is equal too.

x = 19

Don't forget this x value is just for the number of additional fifth kilometers Dan can afford on top of his first fifth mile.

So! Dan can afford 20 fifth kilometers, which in turn in is 4 kilometers in total.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

Options (C)

Step-by-step explanation:

For the congruence of the triangles ΔADB and ΔADC,

                Statements                             Reasons

1). AB ≅ AC                                   1). Given

2). AD ≅ AD                                 2). Reflexive property

3). ∠BAD ≅ ∠CAD                       3). Given

4). ΔABD ≅ ΔCAD                       4). SAS postulate

Therefore, Options (C) will be the correct option.

Answer:

The y-intercept

Step-by-step explanation:

Have a good day :)

Perimeter:-4a

[tex]\\ \large\sf\longmapsto 4(5)=20in[/tex]

[tex]\boxed{\sf LSA=Height\times Perimeter}[/tex]

[tex]\\ \large\sf\longmapsto LSA=10\times 20[/tex]

[tex]\\ \large\sf\longmapsto LSA=200in^2[/tex]