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3 years ago

64% of 50 is between which two numbers?

Mathematics

2 answers:

Sergio [31]3 years ago

6 0

64%of 50 is between 30 and 40

Kisachek [45]3 years ago

4 0

Answer:

C. 30 and 40

Step-by-step explanation:

64÷100×50 then cancel

50 into it self equal 1 times, 50 into 100 equal 2 times which leads to 64÷2.

2 into itself goes 1 time and 2 into 64 equal 32

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Mike is driving a Toyota Camry. He’s inflated his tire to the dealer-recommend level of 32 PSI. At what speed will Mike’s car st

nata0808 [166]

Answer:

Part A

A speed of approximately 58.55 mph

Part B

A pressure of approximately 18.9 psi

Step-by-step explanation:

Part A

The parameter for the car are;

The tire pressure, p = 32 psi

The given equation determined for the speed, 'v', when a car will start hydroplaning is presented as follows;

v = 10.35·√p

Where;

v = The speed at which the car is moving when it will hydroplane in mpj

p = The pressure in the tire in psi

The speed at which hydro planning will start in Mike's car that has a tire pressure of 32 psi is therefore;

v = 10.35 × √(32 psi) ≈ 58.55 mph

The speed at which hydro planning will start in Mike's car that has a tire pressure of 32 psi, v ≈ 58.55 mph

Part B

When a car is moving at, v = 45 mph, we have;

v = 10.35·√p

∴ The pressure in the car tire, p = (v/10.35)²

∴ at p = 45 mph, we have;

p = (45 mph/10.35)² ≈ 18.9 psi

The tire pressure at which Mike's car start hydroplaning, p ≈ 18.9 psi

7 0

3 years ago

Solve for x: 3(x + 1) = −2(x − 1) + 6. (1 point) Group of answer choices 1 4 5 25

Pie

Answer:

x = 1

Step-by-step explanation:

3 (x + 1) = -2 (x - 1) + 6

Expand the brackets on both sides.

3x + 3 = -2x + 2 + 6

3x + 3 = -2x + 8

Solve for x.

3x + 2x = 8 - 3

5x = 5

x = 1

Hope this helped!

4 0

3 years ago

I need help quickly!!!!

Mademuasel [1]

A) Yes, it starts with the same coordinates. because it start as (0,0)
B) No, it because it (6,3)
C) No, because the line segment goes higher and higher.
D) No, because the domain and range dont repeat.
E) I dont exactly know sorry :/

8 0

3 years ago

Find the arc length of the given curve between the specified points. x = y^4/16 + 1/2y^2 from (9/16), 1) to (9/8, 2).

lutik1710 [3]

Answer:

The arc length is $\dfrac{21}{16}$

Step-by-step explanation:

Given that,

The given curve between the specified points is

$x=\dfrac{y^4}{16}+\dfrac{1}{2y^2}$

The points from $(\dfrac{9}{16},1)$ to $(\dfrac{9}{8},2)$

We need to calculate the value of $\dfrac{dx}{dy}$

Using given equation

$x=\dfrac{y^4}{16}+\dfrac{1}{2y^2}$

On differentiating w.r.to y

$\dfrac{dx}{dy}=\dfrac{d}{dy}(\dfrac{y^2}{16}+\dfrac{1}{2y^2})$

$\dfrac{dx}{dy}=\dfrac{1}{16}\dfrac{d}{dy}(y^4)+\dfrac{1}{2}\dfrac{d}{dy}(y^{-2})$

$\dfrac{dx}{dy}=\dfrac{1}{16}(4y^{3})+\dfrac{1}{2}(-2y^{-3})$

$\dfrac{dx}{dy}=\dfrac{y^3}{4}-y^{-3}$

We need to calculate the arc length

Using formula of arc length

$L=\int_{a}^{b}{\sqrt{1+(\dfrac{dx}{dy})^2}dy}$

Put the value into the formula

$L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4}-y^{-3})^2}dy}$

$L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-2\times\dfrac{y^3}{4}\times y^{-3}}dy}$

$L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-\dfrac{1}{2}}dy}$

$L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4})^2+(y^{-3})^2+\dfrac{1}{2}}dy}$

$L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4}+y^{-3})^2}dy}$

$L= \int_{1}^{2}{(\dfrac{y^3}{4}+y^{-3})dy}$

$L=(\dfrac{y^{3+1}}{4\times4}+\dfrac{y^{-3+1}}{-3+1})_{1}^{2}$

$L=(\dfrac{y^4}{16}+\dfrac{y^{-2}}{-2})_{1}^{2}$

Put the limits

$L=(\dfrac{2^4}{16}+\dfrac{2^{-2}}{-2}-\dfrac{1^4}{16}-\dfrac{(1)^{-2}}{-2})$

$L=\dfrac{21}{16}$

Hence, The arc length is $\dfrac{21}{16}$

6 0

3 years ago

Question is on the bottom please help me

adell [148]

I got ~~28.3 hope this helps :)

7 0

3 years ago