hi there can you please help me

[tex]t = \sqrt{ \frac{ab - s}{r + ak} } [/tex]

Answers

Answer 1

[tex]t=\sqrt{\dfrac{ab-s}{r+ak}}\\\\t^2=\dfrac{ab-s}{r+ak}\\\\rt^2+akt^2=ab-s\\\\akt^2-ab=-rt^2-s\\\\a(kt^2-b)=-(rt^2+s)\\\\a=-\dfrac{rt^2+s}{kt^2-b}\\\\a=-\dfrac{rt^2+s}{-(b-kt^2)}\\\\a=\dfrac{rt^2+s}{b-kt^2}[/tex]


Related Questions

an equation uses the symbol

Answers

Answer:

The '=' sign.

Step-by-step explanation:

The equals sign ( = ). for example:

3x + 1 = 8.

The  equals sign was invented by Robert Recorde of Tenby, South Wales, UK in the early part of the 16th century.

If x = 7, what is the value of 4(x - 5)

Answers

Answer:

8

Step-by-step explanation:

Because if x=7 then it would be 7-5 which equals 2 then you would times 2 and 4 together which equals 8 then you would have your answer which is 8.

Answer:

its 8

Step-by-step explanation:

x= 7

so replace the x with the value of 7

4(7-5)

7 minus 5 is 2

4·2

4 multipied by 2 is 8

so the answer is 8

-14 = x - 12 pls answer this if I can and check answer

Answers

Answer:

x = -2

Step-by-step explanation:

-14 = x - 12

-14 + 12 = x

-2 = x

check:

-14 = -2 - 12


What is the center of a circle with the equation (x - 6)2 + (y + 2)2 = 9?
A)
(6,2)
B)
(6,-2)
0)
(-6, 2)
D)
(-6, -2)

Answers

Answer:

B. (6,-2)

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2

The center of the circle is (h,k)

So, in this problem, h is 6 and k is -2, so the center of this circle is (6,-2).

Draw a line segment AB of length 6.6 cm. Bisect it perpendicularly at N using a

ruler and set squares

Answers

Step-by-step explanation:

If a line segment AB of length 6.6cm is drawn, bisecting it perpendicularly at N, we have two lines AN and NB of length 3.3cm each.

Because the line is bisected perpendicularly, the angles formed at the point of bisection are 90 degrees.

The cost of milk is modeled by a linear equation where four quarts (one gallon) costs $3.09 while two quarts
(half-gallon) costs $1.65. Write the linear equation that expresses the price in terms of quarts. How much would
an eight-quart container of milk cost?

Answers

Answer:

linear equation to express the price is:

y=0.72x+0.21

An eight quarts will cost :  $5.97

Step-by-step explanation:

linear equation represent y=mx+b

let x=quarts ( x=4, x=2)

y= price (3.09 and y=1.65 )

two points (4,3.09) and (2,1.65)

need to find the slope m:

y2-y1/x2-x1

(1.65-3.09)/(2-4) ⇒ m=0.72

y=0.72x+b  find b at point (2,1.65)

1.65=0.72(2) +b  ⇒ b=0.21

y=0.72x +0.21

check : point (4,3.09)

y=0.72(4) +0.21

y=3.09  ( correct)

An eight quarts will cost :

y=0.72(8)+0.21

y=5.97 dollars

If 4SINB=3SIN(2A+B) :
Prove that:7COT(A+B)=COTA

Answers

Answer:

Step-by-step explanation:

Given the expression 4sinB = 3sin(2A+B), we are to show that the expression 7cot(A+B) = cotA

Starting with the expression

4sinB= 3sin(2A+B)

Let us re write angle B = (A + B) - A

and 2A + B = (A + B) + A

Substituting the derived expression back into the original expression ww will have;

4Sin{(A + B) - A } = 3Sin{(A + B)+ A}

From trigonometry identity;

Sin(D+E) = SinDcosE + CosDSinE

Sin(D-E) = SinDcosE - CosDSinE

Applying this in the expression above;

4{Sin(A+B)CosA - Cos(A+B)SinA} = 3{Sin(A+B)CosA + Cos(A+B)sinA}

Open the bracket

4Sin(A+B)CosA - 4Cos(A+B)SinA = 3Sin(A+B)CosA + 3Cos(A+B)sinA

Collecting like terms

4Sin(A+B)CosA - 3Sin(A+B)cosA = 3Cos(A+B)sinA + 4Cos(A+B)sinA

Sin(A+B)CosA = 7Cos(A+B)sinA

Divide both sides by sinA

Sin(A+B)CosA/sinA= 7Cos(A+B)sinA/sinA

Since cosA/sinA = cotA, the expression becomes;

Sin(A+B)cotA = 7Cos(A+B)

Finally, divide both sides of the resulting equation by sin(A+B)

Sin(A+B)cotA/sin(A+B) = 7Cos(A+B)/sin(A+B)

CotA = 7cot(A+B) Proved!

idk know the answer i really need help

Answers

Answer:

37x - 13

Step-by-step explanation:

Hello!

The product of 37 and x mean multiply so we can write it as

37x

13 less means subtract so we put that at the end

37x - 13

The answer is 37x - 13

Hope this helps!

Answer:

37 * x - 13

This answer is here according to your question It said that 37*x - 13 Please mark this answer The brainliest one

Solve for y in the following system of equations: −x+y=0 −2x+y=−5 1. 5 2. 7 3. 6 4. 5

Answers

Answer:

y = 5

Step-by-step explanation:

−x+y=0   −2x+y=−5

Multiply the first equation by -2

-2(-x+y=0)

2x-2y =0

Add this to the second equation

 2x-2y =0

−2x+y=−5

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

0x -y = -5

-y =-5

Multiply by -1

y = 5

PLEASE ANSWER !! WILL GIVE BRAINLIEST! Consider the exponential functions f, g, and h, defined as shown. Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3].

Answers

Answer: g(x) f(x) h(x)

Step-by-step explanation:

The order of the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3] is is g(x) >f(x) > h(x)

What is Function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

What is Exponential function?

A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

What is average rate of change?

It is a measure of how much the function changed per unit, on average, over that interval.

Given,

[tex]f(x) = 16(\frac{1}{2})^{x}[/tex]

interval = [0,3]

[tex]f(0)= 16(\frac{1}{2})^{0} =16 \\f(3)= 16(\frac{1}{2})^{3} =2[/tex]

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change= [tex]\frac{2-16}{3-0}=-4.67[/tex]

Consider the function g(x)

g(0)=21

g(3)=1

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change =[tex]\frac{1-27}{3-0}=-8.67[/tex]

Consider the exponential function

at x=0 the exponential function h =4

at x=0 the exponential function h =-3

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change =[tex]\frac{-3-4}{3-0}=-2.33[/tex]

Hence, the order of the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3] is g(x) >f(x) > h(x)

Learn more about Function, Exponential function and Average rate of change here

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M1: L12a: Solving Equations Exit Ticket Determine which of the following equations have the same solution set. Must show work. 1. 3y + 8 = -10 - 3y 2. 6r+ 7 = 13 + 7r 3. 13 - 4m = 1 - m 4.-8-h=-3h 5. 38+7f=8f + 32 6. -6n + 20 = -14n - 4

determine which of the following has the same solution set must show work​

Answers

Answer:

uhfcytuyyytt ryffffffffgtgghhh

22.
A map has a scale of 1 inch : 20 miles. If two
cities are 240 miles apart, how far apart are
they on the map?

NEED HELP FAST!!​

Answers

Answer:

12

Step-by-step explanation:

1 inch = 20 miles

240 miles ÷ 20 miles =

12 inches

Answer:

12 inches

Step-by-step explanation:

Hey there!

Well to solve the given question we need to use fractions,

if 1 inch is 20 milles, we can set up the following.

[tex]\frac{1}{20} = \frac{x}{240}[/tex]

Cross multiply

240 = 20x

Divide both sides by 20

x = 12

So it is 12 inches in the map.

Hope this helps :)

Select all transformations that carry rectangle

ABCD onto itself.


A. Rotate by 90 degrees clockwise using center P.


B. Rotate by 180 degrees clockwise using center P.


C. Reflect across line m.


D. Reflect across diagonal AC

.

E. Translate by the directed line segment from A to B.

Answers

B it rotates by 180 degrees clockwise using center P.

Use distributive property to simplify the following expression. 2(4+9w)

Answers

Answer:

18w+8

Step-by-step explanation:

[tex]2(4 + 9w) \\ = 2(4) + 2(9w) \\ 8 + 18w \\ = 18w + 8[/tex]

Answer:

8+18w [tex]\huge\checkmark[/tex]

Step-by-step explanation:

Hi! Hope you are having an amazing day! :)

Distribute 2 by multiplying everything inside the parentheses by 2:

[tex]\huge\mathrm{2(4+9w)}[/tex]

[tex]\huge\mathrm{8+18w}[/tex] (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*}\star[/tex]


Ebola has an Ro of 2. How
many third-wave cases can
doctors expect?

Answers

Answer:

4 I guess

Step-by-step explanation:

Because

3-1=2

2^2=2*2=4

For each function, determine if it intersects or is parallel to the line y = -1.5x. If it
intersects the line, find the intersection point.
y =0.5x +4
PLEASE ANSWER I HAVE 25 MINUTES LEFT PLEASE

Answers

Answer:

Intersects; intersection point: (-2,3)

Step-by-step explanation:

Substitute -1.5x for y into y=0.5x+4:

-1.5x = 0.5x +4

-1.5x - 4 = 0.5x

-4 = 2x

x = -2

Plug in -2 for x into y=-1.5x

y = -1.5(-2)

y = 3

Organize the x and y values into an ordered pair:

(-2,3)

Answer:

y=0.5x+4 intersects y=-1.5x.

The intersection point is (-2,3)

Step-by-step explanation:

First, note that if two lines are not parallel, then they must intersect eventually in one way or another. Note that since these are two lines, they will only have one intersection points.

So we have the equation:

[tex]y=-1.5x[/tex]

Parallel lines have the same slope. Therefore, a line parallel to this line also has a slope of -1.5

The equation given to us is:

[tex]y=0.5x+4[/tex]

As we can see, this does not have a slope of -1.5. Therefore, the given equation is not parallel to y=-1.5x. However, this does mean that it will intersect y=-1.5x.

To find the x-value of their intersection, simply set the equations equal to each other and solve for x.

[tex]-1.5x=0.5x+4\\-2x=4\\x=-2[/tex]

Now, plug -4 into either of the equations:

[tex]y=-1.5(-2)=3\\y=0.5(-2)+4=-1+4=3[/tex]

Therefore, the point of intersection is (2,3).

A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the height of the prism is placed inside the prism, as shown in the figure

Answers

The answer is 200 cm³

The volume of the rectangular prism (V1) is:

V1 = l · w · h                       (l - length,  w - width,  h - height)

It is given:

h = 12 cm

w = l = 5 cm (since it has a square base which all sides are the same size).

Thus: V1 = 12 · 5 · 5 = 300 cm³

The volume of pyramid (V2) is:

V2 = 1/3 · l · w · h                   (l - length,  w - width,  h - height)

It is given:

h = 12 cm

w = l = 5 cm (since it has a square base which all sides are the same size).

V2 = 1/3 · 12 · 5 · 5 = 1/3 · 300 = 100 cm³

The volume of the space outside the pyramid but inside the prism (V) is a difference between the volume of the rectangular prism (V1) and the volume of the pyramid (V2):  

V = V1 - V2 = 300 cm³ - 100 cm³ = 200 cm³

Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing through point P. Leave all construction marks. Part B: Explain the process that you used to construct line n.

Answers

Answer:

The steps to construct a a line parallel to another line from a point includes

1) From the given line draw a transversal through the point

2) With the compass, copy the angle formed between the transversal and the given line to the point P

3) Draw a line through the intersection of the arcs of the angle construction to get the parallel line through the point P

Step-by-step explanation:

if one of the numbers 1 to 20 is chosen at random what is the probability that it is either a multiple of 3 or a multiple of 5 or both?

Answers

Answer:

45% that either would occur, or a 5% chance both would occur.

Step-by-step explanation:

There is one overlap, 15, so it must be subtracted from one of the number lists.

3 6 9 12 15 18

5 10 15 20

6/20 + 3/20 = 9/20 = 0.45 = 45%

15 is the ONLY overlap number, so 1/20 times both would occur.

1/20 = 0.05 = 5%

Given an angle of a triangle and the opposite side length; which trigonometric function would you use to find the hypotenuse? a TAN b COS c SIN d Not enough information

Answers

Answer:

Sin

Step-by-step explanation:

Sin < = opposite/hypotenuse

thank you theta upon sin theta cos cos theta + sin thank you theta + cos cube theta upon sin theta + cos theta + sin theta minus cos theta upon sin theta minus cos theta is equal to ​

Answers

Answer:

Hey... Ans is in the pic..

Hope it helped u if yes mark me mark me BRAINLIEST!

Tysm!

:)

Plot the image of quadrilateral ABCD under a reflection across the x-axis.

Answers

Answer:

The points for this will be:

A: (1, -4)

B: (-4, -2)

C: (-5, 4)

D: (-2, 1)

Step-by-step explanation:

If we reflect a shape over the x-axis, all of it’s points y values will be negated.

So, (1, 4) becomes (1, -4)

(-4, 2) becomes (-4, -2)

(-5, -4) becomes (-5, 4)

and (-2, -1) becomes (-2, 1)

Hope this helped!

New coordinates of the quadrilateral are A' is (1, -4), B' is (-4, -2), C' is (-5, 4) and D' is (-2, 1)

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The coordinates of quadrilateral ABCD are A is (1, 4), B is (-4, 2), C is (-5, -4) and D is (-2, -1)

After reflecting across the x-axis , the x-coordinates of the vertices will remain the same, but the signs of their y-coordinates will change.

Therefore, the new coordinates of the vertices will be:

A' is (1, -4)

B' is (-4, -2)

C' is (-5, 4)

D' is (-2, 1)

Hence,  new coordinates of the quadrilateral are A' is (1, -4), B' is (-4, -2), C' is (-5, 4) and D' is (-2, 1)

To learn more on Graph click:

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BRAINIEST!!! only answer if you know and can give an explanation, will report for non-sense answers

Answers

Answer:

Below

Step-by-step explanation:

For a given shape to be a rhombus, it should satisfy these conditions:

● The diagonals should intercept each others in the midpoint.

● The diagonals should be perpendicular.

● The sides should have the same length.

We will prove the conditions one by one.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's prove that the diagonals are perpendicular:

To do that we will write express them as vectors

The two vectors are EG and DF.

The coordinates of the four points are:

● E(0,2c)

● G (0,0)

● F (a+b, c)

● D (-a-b, c)

Now the coordinates of the vectors:

● EG (0-0,0-2c) => EG(0,-2c)

● DF ( a+b-(-a-b),c-c) => DF (2a+2b,0)

For the diagonals to be perpendicular the scalar product of EG and DF should be null.

● EG.DF = 0*(2a+2b)+(-2c)*0 = 0

So the diagonals are perpendicular.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's prove that the diagonals intercept each others at the midpoints.

The diagonals EG and DF should have the same midpoint.

● The midpoint of EG:

We can figure it out without calculations. Since G is located at (0,0) and E at (0,2c) then the distance between E and G is 2c.

Then the midpoint is located at (0,c)

● The midpoint of DF:

We will use the midpoint formula.

The coordinates of the two points are:

● F (a+b,c)

● D(-a-b,c)

Let M be the midpoint of DF

●M( (a+b-a-b,c+c)

● M (0,2c)

So EG and DF have the same midpoint.

■■■■■■■■■■■■■■■■■■■■■■■■■■

There is no need to prove the last condition, since the two above guarante it.

But we can prove it using the pythagorian theorem.

What is the surface area of the sphere below?

Answers

Hey there! I'm happy to help!

To find the surface area of a sphere, here is what you do.

You square the radius.

4²=16

You multiply by 4.

16×4=64

And you multiply by pi!

64×π=64π

Therefore, the surface area of the sphere is A. 64π units². It's that easy!

Now you can find the surface area of a sphere! Have a wonderful day! :D

Question :-

What is the surface area of the sphere that has a radius of 4 units?

Answer :-

The surface area of the sphere is 64π units².

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{4 \: units}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the radius of the sphere is 4 units. We have been asked to find or calculate the surface area of the sphere.

To calculate the surface area of the sphere, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4 \times \pi \times (4 \: units)^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4 \: units)^2 \times 4 \times \pi[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 16 \: units^2 \times 4 \times \pi[/tex]

[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 64\pi \: units^2}[/tex]

Therefore :-

The surface area of the sphere is 64π units².

[tex]\\[/tex]

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Have a great day! <33

Use the distributive property to rewrite the given expression without parentheses.
7(x+2)
7(x+2) =​

Answers

Answer:

7x+14

Step-by-step explanation:

The distributive property is when you multiply the number on the outside of rhe parenthesis with the numbers on the inside.

In this case it will be 7×x and 7×2

7(x+2)=7x+14

At a school carnival is the diameter of the map of a trampoline has 12 feet and the diameter of the metal frame is 14 feet what is the length in feet of the metal frame that's around the trampoline use 3.14 for pie and round the answer to the nearest 10th

Answers

Answer:

The length of the steel frame will be approximately 44 feet

Step-by-step explanation:

We can solve this problem by calculating the circumference of the steel frame. We are working with the fact that the steel frame was welded into a circular shape.

The circumference of the steel frame can be calculated using

[tex]circumference = \pi \times d[/tex]

where d diameter of the steel frame = 14 feet

[tex]circumference = 3.14 \times 14=43.96ft[/tex]

Therefore, the length of the steel frame will be approximately 44 feet

What is the slope of the line?
A) -1/3
B) 1/3
C) -3
D) 3

Answers

Answer:

Hey there!

A simple way to think about slope is rise over run. Between any two points on this line, the rise is 3, and the run is -1.

3/-1=-3, so  the slope is -3.

Let me know if this helps :)

What is the domain of F(x) = In(x)?

Answers

Answer as an inequality:  [tex]x > 0[/tex]

Answer in interval notation:  [tex](0, \infty)[/tex]

Answer in words: Set of positive real numbers

All three represent the same idea, but in different forms.

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

Explanation:

Any log is the inverse of an exponential equation. Consider a general base b such that f(x) = b^x. The inverse of this is [tex]f^{-1}(x) = \log_b(x)[/tex]

For the exponential b^x, we cannot have b^x = 0. We can get closer to it, but we can't actually get there. The horizontal asymptote is y = 0.

Because of this, [tex]\log_b(x)[/tex] has a vertical asymptote x = 0 (recall that x and y swap, so the asymptotes swap as well). This means we can get closer and closer to x = 0 from the positive side, but never reach x = 0 itself.

The domain of [tex]\log_b(x)[/tex] is x > 0 which in interval notation would be [tex](0, \infty)[/tex]. This is the interval from 0 to infinity, excluding both endpoints.

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

The natural log function Ln(x) is a special type of log function where the base is b = e = 2.718 approximately.

So,

[tex]\log_e(x) = \text{Ln}(x)[/tex]

allowing all of what was discussed in the previous section to apply to this Ln(x) function as well.

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

In short, the domain is the set of positive real numbers. We can't have x be 0 or negative.

equation y = (2x)/(x-1), how do I get -0.5 as the x intercept ???​

Answers

Answer:

( 0,0) is the x intercept

Step-by-step explanation:

y = (2x)/(x-1),

To find the x intercept set y = 0 and solve for x

0 =  (2x)/(x-1)

Multiply by x-1 on each side assuming x does not equal 1

0 = 2x

x = 0

The x intercept is 0

( 0,0) is the x intercept

Find the value of x so that the function has the given value.


j(x)=−4/5x+7; j(x)=−5

x=



Answers

Answer:

x = 3

Step-by-step explanation:

j(x) = 4/5(-5) + 7

= -4 + 7

= 3

Answer:

15

Step-by-step explanation: -4/5 x has to be -12 because -12+7 equals 5. Since we want to figure out x, we have to flip -4/5 x to 4/5x which would change the -12 to 12. What is a fourth of 12? It is three. 12+3 equals 15. This is the first right answer on all of the internet for this question!

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