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2 years ago

Hi uwu pls help me with math i'm bad at it :(

Mathematics

1 answer:

DedPeter [7]2 years ago

7 0

Answer:

Question #1: p=18

Question #2: uwu sorry I had trouble with this one too

Question #3: $65.10

Step-by-step explanation:

Question #1:

Step 1: multiply 4 by both products in the parenthesis to get 4p - 28 = 44,

Step 2: move the 28 to the other side so you have 4p = 44 + 28,

Step 3: add both products on the right to get 4p = 72,

Step 4: divide 4 on both sides so you are left with p = 72 ÷ 4,

Step 5: the equation to get the total of p = 18

Question #3:

Step 1: Simplify 30% to 0.30 (30÷100)

Step 2: multiply 0.30 by 42 to get 12.6

Step 3: Simplify 25%, (not sure how but) 10.5

Step 4: Add 42.00 + 12.6 + 10.5 = $65.10

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A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. Th

Kisachek [45]

Answer:

Subtracting the volume of the cylinder from the volume of the prism, the volume of metal in the hex nut to the nearest tenth is 23.6 cm^3 (second option)

Step-by-step explanation:

Diameter of the cylinder: d=1.6 cm

Apothem of the hexagon: a=2 cm

Assuming the thickness of the steel hex nut: t=2 cm

Volume of metal in the hex nut: V=?

V=Vp-Vc

Volume of the prism: Vp

Volume of the cylinder: Vc

Prism:

Vp=Ab h

Ab=n L a / 2

Number of the sides: n=6

Side of the hexagon: L

Height of the prism: h=t=2 cm

Central angle in the hexagon: A=360°/n

A=360°/6

A=60°

tan (A/2)=(L/2) / a

tan (60°/2)=(L/2) / (2 cm)

tan 30° = (L/2) / (2 cm)

sqrt(3)/3=(L/2) / (2 cm)

Solving for L/2:

(2 cm) sqrt(3)/3 = L/2

2 sqrt(3)/3 cm = L/2

Solving for L:

2 (2 sqrt(3)/3 cm)=L

4 sqrt(3)/3 cm = L

L=4 sqrt(3)/3 cm

Ab=n L a / 2

Ab=6 (4 sqrt(3)/3 cm)(2 cm) / 2

Ab=24 sqrt(3)/3 cm^2

Ab=8 sqrt(3) cm^2

Vp=Ab h

Vp=(8 sqrt(3) cm^2)(2 cm)

Vp=16 sqrt(3) cm^3

Vp=16 (1.732) cm^3

(1) Vp=27.712 cm^3

Cylinder:

Vc=(π d^2/4) h

π=3.14

d=1.6 cm

Height of the cylinder: h=t=2 cm

Vc=[3.14 (1.6 cm)^2 / 4] (2 cm)

Vc=[3.14 (2.56 cm^2) / 4] (2 cm)

Vc=(2.0096 cm^2) (2 cm)

Vc=4.019 cm^3

V=Vp-Vc

V=27.712 cm^3 - 4.019 cm^3

V=23.693 cm^3

V=23.6 cm^3

4 0

2 years ago

Read 2 more answers

The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 3. Suppose 36 golfers play

kondaur [170]

Answer:

the probability that the exceeded 65 = 0.3707

The average score of the 36 golfers exceeded 65

= 36 X 0.3707 = 13.3452

Step-by-step explanation:

<u>Step 1</u>:-

The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 3.

mean (μ) = 64

standard deviation (σ) =3

by using normal distribution

given (μ) = 64 and (σ) =3

i) when x =65

$z = \frac{x-mean}{S.D} = \frac{65-64}{3} = 0.33 >0$

P( X≥ 65) = P(z≥0.33)

= 0.5 - A(z₁)

= 0.5 - 0.1293 (see normal table)

= 0.3707

The average score of the 36 golfers exceeded 65

= 36 X 0.3707 = 13.3452

6 0

2 years ago

7. The probability that a person living in a certain city owns a dog is estimated to be 0.3. Find the probability that the tenth

STALIN [3.7K]

Answer:lol can somebody please answer this I need an answer I have this question

Step-by-step explanation:

4 0

2 years ago

The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.

levacccp [35]

Answer:

After 2.9 years the town's tax status will change

The towns tax status change within the next 3 years

Step-by-step explanation:

The question below is

Will the towns tax status change within the next 3 years ?

Let

y -----> the population of a small town

t ----> the number of years

we have a exponential function of the form

$y=a(b)^{t}$

where

a is the initial value

b is the base

In this problem

$a=9,400\ people$

$b=100\%-14.3\%=85.7\%=85.7/100=0.857$

substitute

$y=9,400(0.857)^{t}$

Remember that

The town's tax status will change once the population is below 6,000 people

The inequality that represent this situation is

$9,400(0.857)^{t}< 6,000$

Solve for t

$(0.857)^{t}< 6,000/9,400$

Apply log both sides

$(t)log(0.857)< log(6,000/9,400)$

$-0.067t< -0.1950$

Multiply by -1 both sides

$0.067t > 0.1950$

$t > 2.9\ years$

After 2.9 years the town's tax status will change

therefore

The answer is

Yes, the towns tax status change within the next 3 years

6 0

2 years ago

Which values represent the dependent variable? (2,3) (2,-2) (-4,-2) (-2,2) A. {–4, –2, 2} B. {–4, 2, 3} C. {–4, –2, 3} D. {–2, 2

igomit [66]

The dependent variable is the output of a function, which would be the Y value.

In the given set: (2,3) (2,-2) (-4,-2) (-2,2), the Y value is the 2nd number inside each pair of parenthesis.

The answer would be D. {–2, 2, 3}

6 0

2 years ago