The slope of a line is -1/2 What is the slope of a line that is perpendicular to it?

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Answer:

Step-by-step explanation:

(fog)(x) = f[g(x)]

(fog)(x) = f[(4/x - 5)]

(fog)(x) = 1 / ((4/x - 5) - 9)

(fog)(x) = 1 / (4/x - 14)

(gof)(x) = g[f(x)]

(gof)(x) = g[1/(x - 9)]

(gof)(x) = (4/ 1/(x - 9)) - 5

(gof)(x) = (4•(x - 9)/1) - 5

(gof)(x) = (4x - 36) - 5

(gof)(x) = 4x - 41

Answer:

36

Step-by-step explanation:

You would multiply 6x8+6x(-2), and that would equal 48+(-12) which is basically 48-12 = 36.

300 divided by 72 equals (300 divided by 7) + (300 divided by 2) = 2,100 + 600 = 2,700

Answer:

28

Step-by-step explanation:

10 - (-18)

=> 10 + 18

=> 28

Hoped this helped.

Answer:

10 - (-18)

= 10 + 18

= 28

Step-by-step explanation:

Answer:

Decrease amount: $1484 Year-end amount: $4116

Step-by-step explanation:

26.5% of 5600 is 1484. We then subtract 1484 from 5600 because that is how the percentage of decrease, which gives us 4116 dollars. This means her year-end account is 4116 dollars, and the decrease amount is 1484 dollars. Hope this helps!

Answer: about 14% of the 7 grade don't play sports

Step-by-step explanation: i think

Answer:

100 points hope to spell header?

Step-by-step explanation:

Answer:

do you mean harder?

Step-by-step explanation:

and if you mean harder it is spelled : H A R D E R

Mr. Thomas would take 0.5 (half) day for the revenue for each game to be the same.

Revenue is the total amount of money made from selling a particular number of items.

The revenue for math game is:

M(d)=2x² + 8x + 2

While the revenue for Reading Game is:

R(d)=3x+5

For the revenue of each game to be the same, hence:

M(d) = R(d)

2x² + 8x + 2 = 3x + 5

2x² + 5x - 3 = 0

x = -3 or x = 0.5

Since the number of days cannot be negative, hence it would take 0.5 (half) day for the revenue for each game to be the same.

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Answer: 1326

Step-by-step explanation: There is no factorial for addition however the formula n (n+1)/2 works for this where n is the last number of your addition (in this case 51).

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Answer:

12.3

Step-by-step explanation:

i took the quiz

Answer:

The angle value 433.54 π rad (pi radian) in words is "four hundred and thirty-three point five four π rad (pi radian)".

Step-by-step explanation:

got the information from the internet

Answer:

17

Step-by-step explanation:

(10+18+23)/3

=51/3

=17

Answer: Choice A

Work Shown:

[tex]m = \text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{18*7}\\\\m = \sqrt{9*2*7}\\\\m = \sqrt{9}*\sqrt{2*7}\\\\m = 3\sqrt{14}\\\\[/tex]

Answer:

Wednesday, 2021,Thursday, 2022

Answer:

m∠E = 124°

Step-by-step explanation:

Since the triangles are congruent, B and E are automatically congruent, since they are corresponding angles.

First, we must find the value of y.

Set both measures equal to each other.

98 + y = 6y - 32.

Subtract y from both sides.

98 = 5y - 32

Add 32 on both sides.

130 = 5y

Divide 5 on both sides.

y = 26

Substitute y for angle E.

E = 6(26) - 32

E = 156 - 32

E = 124°

Answer:

Step-by-step explanation:

Correct way of dividing fractions:

Answer choices

Let's see

[tex]\\ \sf\longmapsto \dfrac{14}{15}\div \dfrac{7}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{14}{15}\times \dfrac{5}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{70}{105}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

Answer: x = -1.4

Step-by-step explanation:

Answer: x = -7/5

Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1)                       3x+−8x+−18 = 10x+−2+5                                                                                       −5x+−18 = 10x+3                                                                                                 −5x−18-10x = 10x+3-10x                                                                                             −15x−18+18 = 3+18                                                                                                   −15x/-15=21/-15                                                                                                         x = -7/5

Answer:

Step-by-step explanation:

$760(1.023) = $777.48

Answer:

[tex]-4t \geq -25[/tex]

Step-by-step explanation:

"A number t multiplied by −4" can be written as '-4t'

At least is a phrase for "greater than or equal tp", so that would be our sign for the inequality.

A number t multiplied by −4 is at least −25 should be:

[tex]-4t\geq-25[/tex]

Hope this helps.

Step-by-step explanation:

[tex]\small{ \displaystyle\tt \int_{0}^{1} \int_{0} ^{ x_{1}} \int_{ 0 }^{x_{2}}... \int_{ 0 }^{x_{99}} ln(1 -x_{100} ) dx_{100}... dx_{1}}[/tex]

[tex]\small{{ \displaystyle\tt = - \int_{0}^{1} \int_{0} ^{ x_{1}} \int_{ 0 }^{x_{2}}... \int_{ 0 }^{x_{98}} \sum_{n = 1}^{ \infty \frac{}{} \frac{}{} } \frac{1}{n} \int_{0}^{x_{99}} {x}^{n}_{100} \: dx_{100}...dx_{1} }}[/tex]

[tex]{{ 0 }^{x_{98}} \frac{{x}^{n + 1}_{99}}{n + 1} \: dx_{99}...dx_{1} }[/tex]

[tex]\small{ \displaystyle\tt = -\sum_{n = 1}^{ \infty \frac{}{} \frac{}{} } \frac{1}{n}\int_{0}^{1} \int_{0} ^{ x_{1}} }[/tex]

[tex]\displaystyle \tt= - \frac{1}{(100)!_{} } \sum_{n = 1}^{ \infty } \frac{(n - 1)!(100)!}{(n + 101)!}=−(100)!1n=1∑∞(n+101)!(n−1)!(100)![/tex]

[tex]\displaystyle \tt= - \frac{1}{(100)!_{} } \sum_{n = 1}^{ \infty} \int_{0}^{1} {x}^{n - 1} (1 - x {)}^{100} [/tex]

[tex]\displaystyle \sf - \dfrac{1}{(100!)} \int_{0}^{1} \dfrac{(1 - x)^{100} }{1 - x} \:[/tex]

[tex]\displaystyle\tt { = - \frac{1}{(100)!} \int_{0}^{1} {x}^{99} \: dx=−(100)!1∫01x99dx}

[/tex]

Step-by-step explanation:

[tex]{ \pink{ \displaystyle\tt \int_{0}^{1} \int_{0} ^{ x_{1}} } \sf \pink\int_{ 0 }^{x_{2}... \int_{ 0 }^{x_{99}}} ln(1 -x_{100} ) dx_{100}... dx_{1}}[/t

︎︎︎︎︎︎︎

Goal 1000 points

Answer:

y = 1.6x −5

Step-by-step explanation:

We start with two points, let’s say (0,-5) and (4,1.4).

The equation is:

y=mx+b

m is the slope and b the y-intercept.

We can find the slope by:

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{-5-1.4}{0-4} = 1.6[/tex]

Then solve the equation for b:

y = 1.6x + b ->

−5 = 1.6(0) + b ->

b = -5.

So the final equation is:

y = 1.6x −5.

Hope that helps! :)

Answer:

let a, b, c be integers. Prove that if a to the power 3 + b to the power 3 + c to the power 3 is divisible by 9, then one of the numbers a , b , c is divisible by 3

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(3*x+7)^2+5-((7*x-9)^2*x+5)=0

Step by step solution :

STEP1:

Equation at the end of step 1

(((3x+7)2)+5)-(x•(7x-9)2+5) = 0

STEP2:

Checking for a perfect cube

2.1 -49x3+135x2-39x+49 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: -49x3+135x2-39x+49

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -39x+49

Group 2: -49x3+135x2

Pull out from each group separately :

Group 1: (-39x+49) • (1) = (39x-49) • (-1)

Group 2: (49x-135) • (-x2)

Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

Find roots (zeroes) of : F(x) = -49x3+135x2-39x+49

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is -49 and the Trailing Constant is 49.

The factor(s) are:

of the Leading Coefficient : 1,7 ,49

of the Trailing Constant : 1 ,7 ,49

Let us test ....

Equation at the end of step

2

:

-49x3 + 135x2 - 39x + 49 = 0

STEP

3

:

Cubic Equations:

3.1 Solve -49x3+135x2-39x+49 = 0

Future releases of Tiger-Algebra will solve equations of the third degree directly.

Meanwhile we will use the Bisection method to approximate one real solution.

Approximating a root using the Bisection Method :

We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).

The function is F(x) = -49x3 + 135x2 - 39x + 49

At x= 3.00 F(x) is equal to -176.00

At x= 2.00 F(x) is equal to 119.00

Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this interval, F(x) is zero

Procedure :

(1) Find a point "Left" where F(Left) < 0

(2) Find a point 'Right' where F(Right) > 0

(3) Compute 'Middle' the middle point of the interval [Left,Right]

(4) Calculate Value = F(Middle)

(5) If Value is close enough to zero goto Step (7)

Else :

If Value < 0 then : Left <- Middle

If Value > 0 then : Right <- Middle

(6) Loop back to Step (3)

(7) Done!! The approximation found is Middle

Next Middle will get us close enough to zero:

F( 2.596896529 ) is 0.000000414

The desired approximation of the solution is:

x ≓ 2.596896529

Note, ≓ is the approximation symbol

One solution was found :

x ≓ 2.596896529

Answer:

The circumference of a circle is the distance around the entire circle, while arc length, s, is the distance between two points on the circle.

C = 2πr = 2π( 5 ) = 10π ≈ 31.4 units

3.14 is an approximation for π.

s = θ/360° (C)

mAB = 60°/360° ( 31.4)

= 1/6(31.4) ≈5.2 units

Answer: 5

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

now we can see that our fraction is 75/100 which means that 42/56 as a percentage is 75%

Answer:

Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.

Step-by-step explanation:

You can solve this question by coming up with equations for each friend and then substituting them into the equation M + J + A = 296

Jade sells 8 more tickets than Mia, so Jade's equation for how many tickets she sold is the amount of tickets that Mia sold + 8:

J = M + 8

Amelia sells twice as many tickets as Mia, so her equation is the amount of tickets Mia sold * 2:

A = 2 * M

Now we can substitute these equations into the overall one.

M + (M + 8) + (2M) = 296

Now we can combine like terms and solve for M.

2M + 8 + 2M = 296

4M + 8 = 296

4M = 288

M = 72

We now have the amount of tickets Mia sold, so we can insert this number into the equations for Amelia and Jade.

J = M + 8

J = 72 + 8

J = 80

A = M * 2

A = 72 * 2

A = 144

So Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.

The solution is Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of tickets sold by Mia , Jade and Amelia be M , J and A respectively

Total number of tickets = 296

So , M + J + A = 296   be equation (1)

Now , Jade sells 8 more tickets then Mia

So , J = M + 8   be equation (2)

Subtracting 8 on both sides , we get

M = J - 8   equation (3)

Now , Amelia sells twice as many tickets as Mia

So , A = 2M   be equation (4)

Substituting the value of J and A in equation (1) , we get

M + ( M + 8 ) + 2 M = 296

4M + 8 = 296

Subtracting 8 from both sides , we get

4M = 288

Divide by 4 on both sides , we get

M = 72

The number of tickets sold by Mia = 72

Substituting the value of M in equation (2) and equation (4) , we get

J = M + 8

J = 80

The number of tickets sold by Jade = 80

A = 2M

A = 144

The number of tickets sold by Amelia = 144

Hence , The number of tickets sold by Mia is 72 tickets, Jade is 80 tickets, and Amelia is 144 tickets

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Answer:

5π

Step-by-step explanation:

v=1/3πrh

v=1/3×π×3×5=5π

The volume of the combined solid is given as 69π ft³.

A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.

The volume of the combined solid is given as,

Volume of cone + Volume of cylinder

The expression can be written as,

1/3πr²h + πr²H

Where h and H are the heights of cone and cylinder respectively.

Plug r = 3, h = 5 and H = 6 to obtain as,

⇒ 1/3π × 3² × 5 + π × 3² × 6

⇒ 69π

Hence, the volume of the combined solid is obtained as 69π ft³.

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