Find y when = 22, if y varies directly as x,
and y = 39 when x = 7.

Answer:

66%

Step-by-step explanation:

[tex]-10x\:+\:\left(20\cdot \left(1-x\right)\right)=\:0[/tex]

x = [tex]\frac{2}{3}[/tex] = .666 = 66%

Answer:

15 weeks

Step-by-step explanation:

Let the number of weeks = x.

At the end of x weeks,

Jeremy has 120 + 14x,

and Katie has 180 + 10x

We want to know when their amounts are equal.

120 + 14x = 180 + 10x

4x = 60

x = 15

Answer: 15 weeks

Answer:

15 weeks

Step-by-step explanation:

One is given the following information:

Jeremy

Katie

Let the parameter (x) represent the number of weeks passed. Parameter (y) is the amount in the account, (S) represents the amount in the account to start with and (A) represents the amount added to the account every week. One can use the following general equation to represent the situation:

y = S + Ax

Substitute the given information into the equation for each person:

Jeremy: y = 120 + 14x

Katie: y = 180 + 10x

One is asked to find the point in time when the two account have the same amount of money. Therefore, set the two equations equal to each other and solve:

y = 120 + 14x = 180 + 10x

Inverse operations,

120 + 14x = 180 + 10x

4x = 60

x = 15

15 weeks will pass before Katie and Jeremy have the same amount of money in their accounts.

Answer:

Step-by-step explanation:

It's given in the question,

[tex]2^x=3^y=12^z[/tex]

[tex]2^x=12^z[/tex]

[tex]\text{log}2^x}=\text{log}12^z}[/tex]

[tex]x\text{log2}=z\text{log12}[/tex]

[tex]x=\frac{z\text{log}12}{\text{log2}}[/tex]

[tex]3^y=12^z[/tex]

[tex]\text{log}3^y}=\text{log}12^z}[/tex]

[tex]y\text{log}3}=z\text{log}12}[/tex]

[tex]y=\frac{z\text{log12}}{\text{log}3}[/tex]

Now substitute the values in the equation,

[tex]\frac{1}{y}+\frac{2}{y} =\frac{1}{\frac{z\text{log12}}{\text{log}3}}+\frac{2}{\frac{z\text{log}12}{\text{log2}}}[/tex]

         [tex]=\frac{\text{log}3}{z\text{log}12}+\frac{2\text{log}2}{z\text{log}12}[/tex]                    

         [tex]=\frac{\text{log}3+\text{log}2^2}{z\text{log}12}[/tex]

         [tex]=\frac{\text{log}(3\times 2^2)}{z\text{log}12}[/tex]

         [tex]=\frac{\text{log}(12)}{z\text{log}12}[/tex]

         [tex]=\frac{1}{z}[/tex]

Hence proved.

Answer: [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

tangent of ∠PLM = [tex]\frac{opposite}{adjacent} =\frac{4}{3}[/tex]

Answer:

PLM=4/3

Step-by-step explanation:

Answer:

c 6m hope to help

tjabssb

Answer:

3 m

Step-by-step explanation:

because all sides are equal

Answer:

75% of the specials served were salmon fillets

Step-by-step explanation:

We have that:

15 + 5 = 20 specials were served.

Of those, 5 were salmon fillets.

What percentage of the specials served were salmon fillets?

15*100%/20 = 75%

75% of the specials served were salmon fillets

Answer:

2x^4+4x^2+2

Step-by-step explanation:

f(x) = x^2+1

g(x) = 2x^2

g(f(x))=

Replace x in the function g(x) with the function f(x)

         =2( x^2+1)^2

         = 2( x^2 +2x^2 +1)

         = 2x^4+4x^2+2

Answer:

A

Step-by-step explanation:

cause it will be more faster just because it is in a solid phase or it is solid

The time taken to hit the ground is 6.25 sec.(Option B)

How to calculate time?

It is given that penny follows the trajectory:

[tex]y = -4.9x^2 + 32x + 425[/tex]

Differentiating it we get:

[tex]\dfrac{dy}{dx} =-9.8x+32[/tex]

At y=425, it is obvious that x=0

So dy/dx at x=0 is 32.

Now the vertical component of the velocity is 32sinФ (where Ф is the angle at which penny is thrown).

Ф[tex]=\tan^{-1}(32)[/tex]

Vertical component=[tex]32*\sin(\tan^{-1}(32))[/tex]=31.98 ft/sec

Now applying the equation of motion: acceleration=-32ft/sec^(2)

u=31.98ft/sec   s=-425   t=?

[tex]s=ut+\frac{1}{2} at^{2}[/tex]

[tex]-425=31.98t-16t^2[/tex]

[tex]16t^2-31.98t-425=0[/tex]

Solving the quadratic equation we get:

t=6.249 sec≅6.25 sec

Therefore, the time taken is 6.25 sec.

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Answer:

The length of the shortest side of the triangle is 10.

Step-by-step explanation:

Given that the lengths of the sides of a triangle are 4, 5 and 6, if the length of the longest side of a similar triangle is 15, to determine what is the length of the shortest side of the triangle, the following calculation must be performed :

6 = 15

4 = X

4 x 15/6 = X

10 = X

Therefore, the length of the shortest side of the triangle is 10.

Answer:

A' (-3,12)

B' (9,6)

C' (-6,-6)

Answered by GAUTHMATH

Answer:

y =x^2 +8x +15

factories form

y =( x+5 )( x+3 )

x intercept where the graph meet the x axis

y = x^2 +8x +15

let y =0

0 = x^2 +8x +15

0 = ( x + 5) (x+3)

o = x+5 or 0 = x+3

-5 = x or x = - 3

x intercept

(-5;0)

(-3 ;0)

axis of symmetry : where you will cut the graph into two half

x = - b/2a

x = - 8/2(1)

x = - 8/2

x = - 4

Domain

XER

Range

y > -1

Tan=24/10 ≈ 2.4

using Pythagoras theorem

x²=(24)²+(10)²

x²=576+100

x²=57600

x=√57600 => 240

Therefore

sina=24/240 => 0.1

cota=1/tana => 1/(24/10) => 10/24

Answer:

Step-by-step explanation:

m1 = 300

m2= 300(1+.05) = 300(1.05)

m3 = 300(1.05)(1.05)

m4= 300(1.05)(1.05)(1.05)

each subsequent month is the previous month times "1 + .05"

the "one" preserving the running total, and the extra ".05" adding the 5%

the repeating (1.05)(1.05)(1.05) is notational simplified using exponents

(1.05)(1.05)(1.05) = [tex](1.05)^{3}[/tex]

Answer:

Step-by-step explanation:

The shape cam be split into a triangle and a trapezoid

✔️Area of the trapezoid = ½(a + b)h

Where,

a = 12.5 ft

b = 16.7 ft

h = 11.6 ft

Plug in the values

Area of the trapezoid = ½(12.5 + 16.7)*11.6

Area of trapezoid = 169.36 ft²

✔️Area of the triangle = ½*b*h

b = 16.7 ft

h = 19.2 - 11.6 = 7.6 ft

Area of the triangle = ½*16.7*7.6

= 63.46 ft²

✔️Area of the shape = 169.36 + 63.46

= 232.82 ft²

Answer:

Step-by-step explanation:

Let's write that out completely:

[tex]ln_e(x)=7[/tex] The rule for going from log to exponential is what I call the "circular rule" in my classes and the kids never forget it. Take the base of the log, raise it to the power of the number on the other side of the equals sign, and then circle back to set it equal to the argument.

e is the base. Raise e to the 7th and circle back to set the whole thing equal to x (x is called the argument):

[tex]e^7=x[/tex] choice C.

Part (a)

The radius is r = 42 because OA = 42.

The circumference, aka distance around the circle, is

C = 2*pi*r

C = 2*(22/7)*42

C = 264

We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.

So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150

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

Part (b)

Compute the area of the full circle

A = pi*r^2

A = (22/7)*(42)^2

A = 5544

Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)

(5/12)*(5544) = 2310

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

Side note: Both answers are approximate because pi = 22/7 is approximate.

Answer:

x = 6

Step-by-step explanation:

s = 6

t = 4

x = 4 + s - t

Substituting s and t in equation,

x = 4 + 6 - 4

x = 6

Answer:

6

Step-by-step explanation:

s=6

t=4

x= 4+6-4

x=10-4

x=6

Therefore; the final result is 6

The solution to the continuous linear relation is: (2,-7)

The data on the table can be presented as:

Relation A

[tex](x_1,y_1) = (-8,-5)[/tex]

[tex](x_2,y_2) = (-3,-6)[/tex]

Relation B

[tex](x_1,y_1) = (-8,-15)[/tex]

[tex](x_2,y_2) = (-3,-11)[/tex]

Plot the points of each relation and draw a line through the points (see attachment)

Write out the point of intersection of the two lines.

[tex](x,y) = (2,-7)[/tex]

Hence, the solution to the continuous linear relation is: (2,-7)

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Answer:

[tex]\left(\dfrac{8}{7} , \ \dfrac{17}{35} \right)[/tex]

Step-by-step explanation:

The given system of equations is presented as follows;

[tex]\dfrac{s}{2} + 5 \cdot t = 3[/tex]

3·t - 6·s = 9

Making t the subject of both equations, gives;

In the first equation; t = (3 - s/2)/5

In the second equation; t = (9 + 6·s)/3

Equating both values of t to find the the values that satisfies both equations, gives;

(3 - s/2)/5 = (9 + 6·s)/3

3 × (3 - s/2) = 5 × (9 + 6·s)

9 - (3/2)·s = 45 + 30·s

45 - 9 = (30 + (3/2))·s

36 = (63/2)·s

s = 36/(63/2) = 8/7

t = (3 - s/2)/5

∴ t = (3 - (8/7)/2)/5 = 17/35

Therefore, the ordered pair is (8/7, 17/35)

Answer:

x = -2

[tex](2/3)^{(x-1)} = \frac{27}{8}[/tex]  

Step-by-step explanation:

you have to use logs here

[tex]ln((2/3)^{x} ) =ln(27/8)\\x ln((2/3) ) =ln(275/8)\\\\[/tex]

x-1  =ln(27/8)/ ln(2/3)

x -1  = -3

x = -2

Answer:

60

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2+25^2 = 65^2

a^2 +625 = 4225

a^2 = 4225-625

a^2=3600

Taking the square root of each side

sqrt(a^2) = sqrt(3600)

a = 60

Answer:

Step-by-step explanation:

Hypotenuse: 65

Leg: 25

Let Hypotenuse be c, and leg be a

[tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]

[tex]a^{2} + 25^{2} = 65^{2}[/tex]

[tex]a^{2} + 625 = 4225\\[/tex]

[tex]a^{2}[/tex] = 4225 - 625

[tex]a^{2}[/tex] = 3600

3600 is the exponential value of a, meaning we need to apply the opposite of squaring to get the value of b. Which is square rooting.

a = [tex]\sqrt{3600\\}[/tex]

a = 60

Therefore a is equal to 60 feet

To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:

[tex](x - 16)^2 + (y - 30)^2 = 1156[/tex]

Equation of a circle:

The equation of a circle with center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Center at (16, 30)

This means that [tex]x_0 = 16, y_0 = 30[/tex]

Thus

[tex](x - 16)^2 + (y - 30)^2 = r^2[/tex]

Passes through the origin:

We use this to find the radius squared, as this means that [tex]x = 0, y = 0[/tex] is part of the circle. Thus

[tex](x - 16)^2 + (y - 30)^2 = r^2[/tex]

[tex](0 - 16)^2 + (0 - 30)^2 = r^2[/tex]

[tex]r^2 = 16^2 + 30^2 = 1156[/tex]

Thus, the equation of the circle is:

[tex](x - 16)^2 + (y - 30)^2 = 1156[/tex]

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Answer:

The Polynominal is not shown. So how can i answer???

Step-by-step explanation:

Thank You! Hope it helps! Please Mark me brainliest!

Answer:

b^27

Step-by-step explanation:

Answer:

A. b^27

You multiply 9x3 and you get 27 with the base "b"

Step-by-step explanation:

Answer:

1. 3x^3 - 2x^2 - x

2. -4x^2 + x

Step-by-step explanation:

Answer:

575 minutes

Step-by-step explanation:

this is  a systems of equations problem

2 plans, 2 equations

Scenario 1:

$23 is a mandatory fee, 11 cents per minute

x=23+0.11m (x= total cost, m= minutes called)

Scenario 2:

There is no mandatory fee, but there is a higer 15 cents per minute

x=0.15m (y=total cost, m=minutes called)

Set them equal to each other because you want to know when they become equal

23+0.11m=0.15m

23=0.04m

m=575

Answer:

Plan 1: 65 minutes, Plan 2: 201 minutes

Step-by-step explanation:

Not sure if this is the answer that you need but here is the math that i did..

Plan 1: $23 + $0.11/min

$0.11 x 65 minutes will give you a total of $7.15 + the inital $23 = $30.15

Plan 2: $0 + $0.15/min

$0.15 × 201 minutes will give you a total of $30.15

I hope this helps!

Answer:

3

Step-by-step explanation:

The value of x is 3 if the volume of the triangular prism is 54 cubic units.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that  volume of the triangular prism is 54 cubic units.

We have to find the value of x

The volume of the prism with triangular base is 54 unit³.

The base is a triangle with,

base = 4 units

height = x units

height of the prism = 3x

V= 6x²

54= 6x²

Divide both sides by 6

x² = 9

x=3

Hence, the value of x is 3 if the volume of the triangular prism is 54 cubic units.

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Answer:

Domain = all real numbers

range = -1<= y <= 1

The domain of y=cosx is all real numbers and the range is -1 ≤ y ≤ 1.

The range of 'x' of a function is known as the domain of definition of a function and the range of 'y' of a function is known as the range of the function.

The function is continuous for all real values of 'x'.

Hence, the domain of the function is all real numbers.

The upper limit value of cosx =1 and lower limit value of cosx = -1 .

Hence, the range of the function is -1 ≤ y ≤ 1.

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Answer:

x= 2/2

Step-by-step explanation: