The gradient at any point on the curve y=f(x) is given by the equation dy/dx=1/✓x-2.The curve passes through the point (2,3).Find the equation of this curve.​

Answer:

Hey there!

2/3% is basically 2/3's of 1 percent.

Thus, as a fraction we get 2/300.

Hope this helps :)

Answer:

1/150

Step-by-step explanation:

2/3%

We know that 1% = 1/100

2/3% = (2/3)/100

2/3% = 2/(3 × 100)

2/3% = 2/300

2/3% = 1/150

Answer:

D

Step-by-step explanation:

According to the SAS theorem, if the 2 sides of the 2 triangles are multiples of each other by the same scale factor, with the angle in between them being the same for each triangle. The triangles are similar.

The SSS theorem is not appropriate here because we do not know the side lengths of AB or DE in the diagram. For SSS theorem we need to know all of the side lengths.

A is incorrect because the similarity can be determined.

===========================================

Work Shown:

40 coins total

16 are dimes

40-16 = 24 coins are not dimes

Half of this is 24*(1/2) = 12 which are quarters. The other half (12) are pennies and nickels

n = number of nickels

p = number of pennies

This means n+p = 12 so that we have 12 pennies and nickels combined.

"There are 2 nickels for every penny", so we can write n = 2p. If p = 1, then n = 2. If p = 2, then n = 4, etc. Whatever p is, we double it to get n.

So,

n+p = 12

2p+p = 12

3p = 12

p = 12/3

p = 4, we have 4 pennies

n = 2p

n = 2*4

n = 8 and 8 nickels

-----------------------------------------

Here are all the coin counts

16+12+8+4 = 40 coins total

Answer:

Option (B) is correct, 4 pennies.

Answer:

A. 6 √2

Step-by-step explanation:

If a triangle is a 45-45-90 triangle then,

Theorem 5-13: If each acute angle of a right triangle has a measure of

45 degrees, then the measure of the hypotenuse is the square root of two times as long as a  leg (45, 45, 90 Theorem).

so the hypotenuse is x√2, and x = 6 (side length)

Answer: it's not working on my laptop but it seems to be working on the phone right now

Answer:

can somebody help asap !!!

Step-by-step explanation:

Answer: The polynomial has 3 terms and a degree of 10.

Step-by-step explanation:

The given polynomial: [tex]5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7[/tex]

Here, two terms [tex]5s^6t^2[/tex] and [tex]8s^6t^2[/tex] have same power for s and t i.e. they are like terms.

Combine like terms , we get

[tex]6st^9 - 3s^6t^2 - 6t^7.[/tex] i.e. there are 3 terms.

Degree of [tex]6st^9[/tex]  is 1+9=10;

Degree of [tex]- 3s^6t^2[/tex] is 6+2=8;

Degree of  [tex]- 6t^7[/tex]  is 7.

Since degree of the polynomial = highest degree i.e. 10

Hence, the polynomial has 3 terms and a degree of 10.

The statement which is true about the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ is; It has 4 terms and a degree of 10.

Discussion:

By counting the number of terms in the polynomial;

Additionally, the degree of the polynomial is 10.

This is from the term with the highest degree which is; 6st⁹; where s has degree 1 and t has degree 9; total of which is; 10.

Read more on polynomial degree;

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Answer:

.84

Step-by-step explanation:

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▹ Answer

.84

▹ Step-by-Step Explanation

The hundreths place is 2 decimal places so..

.84

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer: C. 35 square centimeters

Think of cutting a cube along the opposite diagonals (the diagonals on the opposite faces). The resulting area that is inside is the cross sectional area. It is a rectangle with sides of 5 and 7. The 7 is approximate as it is the length of the diagonal. So we have 5*7 = 35 as the approximate cross sectional area.

Answer:

correct answer is 49

Step-by-step explanation:

i used the formula for surface area

SA=2B+LA(surface area=2*the base+ lateral area)

Answer:

a) Number of hours it takes 1 centimetre of snow to form in Harper's yard = (1/5) hour = 0.20 hour

b) Centimetres of snow that accumulate per hour = 5 cm

Step-by-step explanation:

Complete Question

We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5h.

a) How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard? hours

b) How many centimeters of snow accumulate per hour? centimeters

Solution

The depth of snow, d, in centimetres that accumulates in Harper's yard in h hours is given d = 5h

a) Number of hours it takes 1 centimetre of snow to form in Harper's yard.

d = 5h

d = 1 cm

h = ?

1 = 5h

h = (1/5) = 0.20 hour

b) Centimetres of snow that accumulate per hour.

d = 5h

In 1 hour, h = 1 hour

d = ?

d = 5 × 1 = 5 cm

Hope this Helps!!!

Answer:

1/5 hours

5 centimeters

Step-by-step explanation:

Answer:

1/25

Step-by-step explanation:

[tex]\frac{5^{4} }{5^{6} } =\frac{1}{5^{2} } =\frac{1}{25}[/tex]

Answer:

16.66 years

Step-by-step explanation:

100(the percentage that it needs to increase) divided by 6 (the percentage of intrest) You could do 1.0/0.06 but i find it eaiser to do it this way

It will take 33.33 years to double his money.

We have roger who inherited $5000 from his father who invested the money in an account bearing 6% annual interest.

We have to find out how long it would take for this inheritance to double in value.

The formula to calculate the Simple Interest on a given amount of principal money (x) at the rate of (r%) for a given amount of time (t) is -

[tex]SI =\frac{x \times r \times t}{100}[/tex]

In the question given : Simple Interest = 2 x Principal = 2[tex]x[/tex]

Hence, the equation becomes -

[tex]2x =\frac{x\times r\times t}{100} \\\\t = \frac{200}{r} \\\\t = \frac{200}{6} \\[/tex]

t = 33.33 years

Hence, it will take 33.33 years to double his money.

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Answer:

D. 35

Step-by-step explanation:

20-5>25 = 20>25 incorrect

30-5>25 = 25>25 incorrect

35-5>25 = 20>25 correct

Answer:

f = 27

Step-by-step explanation:

11 = f - 16

Add 16 to both sides.

11 + 16 = f - 16 + 16

27 = f

Answer:

I think it's A

Answer:

rational

Step-by-step explanation:

The improper fraction 12/4 is a rational number. It is equivalent to the whole number 3, which is an integer.

Answer:

d

Step-by-step explanation:

Answer:

420

Step-by-step explanation:

First, you multiply the base by the slant height for the area of one triangle (160). Then multiply that by 1/2 to complete the area equation. 80*4 (four triangles equals 320. Then you multiply to find the base area 10*10= 100. Add those numbers together to get 420.

The surface area of the pyramid is 178.9 square centimeter.

We have a pyramid with the base edges (L) = 10 cm and slant height (S) = 16 cm .

We have to find the Surface area of the pyramid.

The formula is -

[tex]S.A. = L^{2} + L\sqrt{L^{2} + 4h^{2} }[/tex]

Now, firstly find the height of the pyramid - using the Pythagoras theorem-

[tex](S)^{2} =(\frac{L}{2} )^{2} +h^{2} \\h^{2} = (S)^{2} - (\frac{L}{2} )^{2}\\h = \sqrt{(S)^{2} - (\frac{L}{2} )^{2}} \\[/tex]

h =  15.19 cm

Substituting the value of height in the formula of surface area -

S.A. = [tex](5)^{2} +5\sqrt{(5)^{2}+4(15.19)^{2} } \\[/tex] = 25 + 5 x 30.78 = 178.9 square centimeter.

Hence, the surface area of the pyramid is 178.9 square centimeter.

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Answer:

11) HEJ , 25°

12) JEK , 50°

13) JEF

14) DEF

Step-by-step explanation:

11)

Well angle HEJ by using the protractor has a angle measure of 25°.

12)

Angle JEK has a angle measure of 50°

13)

Angle JEF is a right angle because it has a measure of 90°

14)

Angle DEF is a straight angle because it has a angle measure of 180°

Hope this helps :)

Answer:

It's not a real solution

Step-by-step explanation:

Answer:

This is not an exponential function because the variable is in the exponent position.

Answer:

Below

Step-by-step explanation:

B varies directly with the cube of t so:

● B = t^3

B varies inversly as u

● B = 1/u

Let's solve the equation for u:

B= 1/u = t^3

● B= 1/u

Switch u and B

● u = 1/B = 1/t^3

If u is 1 then b and t are also 1.

Answer:

Assume that 1900km^2 is 1900.

If that happens, The equation of that will look like...

1900 - (1900 x 7.75% x 14)%.

1900 x 7.75% are 147.25.

and 147.25 x 14 are 2061.5.

so... there will be no forest after 14 years.(harsh)

Hope it helps!

The area of the forest after 14 years would be 614.1617 km².

We have,

Let's denote the initial area of the forest as A₀ = 1900 km².

The decrease in the area each year is 7.75%, which means that the remaining area after each year is 92.25% of the previous year's area.

i.e

[tex]A_i= A_0[/tex] (1 - 0.0775)

where Aᵢ is the area after i years.

To find the area after 14 years.

A₁₄ = 1900 x [tex](1 - 0.0775)^{14}[/tex]

      = 1900 x 0.3232430884671

      = 614.1617 km²

Therefore,

The area of the forest after 14 years would be 614.1617 km².

Learn more about equations here:

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Answer:

Step-by-step explanation:

Distance traveled by Mike in 12 hours = 4 * 12 = 48 km

This will become the radius of the circle

r = 48 km

Area of the circle to be searched = πr²

                                                       = 3.14 * 48 * 48

                                                       = 7234.56 square km

Answer:

132 cm^2

Step-by-step explanation:

Area of the two triangles + Area of the three triangles

2x1/2x3x4 + 5x10 + 4x10 +3x10 = 132 cm^2

The rules used in my answer are:

Answer:

-7j-k-1

Step-by-step explanation:

10k + 17 - 7j -18 -11k

10k-11k

-1k

17-18

-1

-7j-k-1

Answer:

where are the statements...

mention the statements first

Answer:

D. 2/3π inch

Step-by-step explanation:

360°/12=30° each slice of pizza is 30°.since they are all congruent:

c= 2πr*30°/360°

c=2(4)π* 1/12

c=8π/12

c=2/3π inch

The length of the outer edge of any one slice of the pizza is 2.09 inches

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.

A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.

Given,

Diameter of the pizza = 8 inches

Number of slices =12

We know that,

A circle has a total of 360 degrees all the way around the center

Then angle of each size of pizza = [tex]\frac{360}{12}=30[/tex] degrees

Length of the outer edge of any one slice of pizza = Length of the arc of the sector

Arc length = [tex]2\pi r(\frac{angle}{360})[/tex]=[tex]2\pi (4)(\frac{30}{360})[/tex]

Arc length = 2.09 inches

Hence, the length of the outer edge of any one slice of the pizza is 2.09 inches

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Answer:

The correct answer is all real numbers x, except x=o.

Step-by-step explanation:

To calculate the domain, we will "remove" from the equation those values that make it impossible to perform any mathematical operation.

In a rational function the denominator must be different from zero, since we need a set of values that do not cancel the denominator.

That is why the domain can include any real number, except 0. Remember that real numbers are any number that corresponds to a point on the real line and can be classified into natural, integers, rational and irrational numbers. In other words, any real number is between minus infinity and infinity and we can represent it on the real line.

Answer:

D. all real numbers x, except x=0

Step-by-step explanation:

edge 2020

Answer:

radius is 12, diameter is 24

Step-by-step explanation:

it is a 15-12-9 triangle

Answer:

-3.2 is the opposite of 3.2

2.3 is the opposite of -2.3

1.5 is the opposite of -1.5

-5.1 is the opposite of 5.1

Step-by-step explanation:

If your value is a positive, make it a negative

Ex. 3-->-3

If your answer is a negative, make it a positive

Ex. -3-->3

Answer:

-3.2 is the opposite of 3.2

2.3 is the opposite of -2.3

1.5 is the opposite of -1.5

-5.1 is the opposite of 5.1