Find the area of the figure to the nearest thousandth

Answer: 3¼ hours

Step-by-step explanation:

Number of hours used in baking = 2¾ hours

Number of hours used in cleaning up the kitchen = ½ hour

Therefore, the time used in the kitchen will be the addition of the time used in baking plus the time used in cleaning the kitchen which will be:

= 2¾ + ½

= 2 3/4 + 2/4

= 2 5/4

= 2 + 1¼

= 3¼ hours

Therefore, 3¼ hours was used in the kitchen.

Answer:

B

Step-by-step explanation:

To find [tex](\frac{f}{g} )(x)[/tex] you can write the expression as [tex]\frac{f(x)}{g(x)}[/tex]. We can substitute the f(x) and g(x) into the expression to get: [tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex]. Now we need to find the domain. The numerator is fine, and the domain is all real numbers, but in a fraction, the denominator cannot equal 0. We can write:  [tex]2x + 3\neq 0[/tex] and we can solve it:

[tex]2x\neq -3[/tex]

[tex]x\neq -\frac{3}{2}[/tex]

This is the same as option B.

The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2. Option C is correct

Given the functions

f(x) = 3√4x

g(x) = 2x + 3

We are to find the resulting function (f/g)(x)

(f/g)(x) = f(x)/g(x)

(f/g)(x) = 3√4x/2x+3

Restriction to the function occurs at the point where the denominator is zero.

2x = 3 = 0

2x = -3

x = -3/2

Hence the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2

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Answer:

The lead coefficient is 8

Step-by-step explanation:

This is because it is the biggest number that is right before the x or that is the coefficient.

The leading coefficient of the polynomial is given by C = 3

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

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 polynomial equation be represented as A

Now , the value of A is

A = 3x² + 8x + 5

On simplifying the equation , we get

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the polynomial 3x² + 8x + 5 has a term with degree 2 (the x² term) and the coefficient of that term is 3

Hence , the lead coefficient of this polynomial is 3

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Answer:

4/ 7-4

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the rest are boys

Answer:

496 cm²

Step-by-step explanation:

Area of polygon :

A = 1/2(p * a)

P = perimeter

a = apothem

Perimeter = 5s (pentagon)

s = side length = 18

P = 5 * 18 = 80 cm

a = 12.4

A = 1/2(80 * 12.4)

A = 1/2(992)

A = 496 cm²

Answer:

a) x* e∧ t/10  =  20 *e∧ t/10 + 2

b) x  =  14,2 gall. In 10 min. we get 14,2 gallons of bleach in the tank

c) After a very long time we will find 20 gallons of bleach in the tank

Step-by-step explanation:

The variation of bleach in water in the tank is Δ(x)t:

Δ(x)t  = [Amount of x added to the tank - Amount of x drain out of the tank]*Δt

Now the amount of x added to the tank is:

Rate of adding* the concentration

Rate of adding =  4 gallons per minute

Concentration  half and half ( water + bleach)  = 0,5

Rate of draining =  4 gallons per minute

Concentration of draining: Unknown but can be expressed as:

x(t)/40. According to this

Δ(x)t  =  [4 * 0,5  -  4 * x(t)/40]*Δt

Dividing by Δt on both sides of the equation and tacking limits we get

dx/ dt    =  2  - x / 10

dx/dt + x/10 =2

Multyiplying by e∧ t/10 on both sides

e∧ t/10* [ dx/dt  +  x/10 ]  =  2 *e∧ t/10

To solve it, integrating the first member is

x* e∧ t/10  =  20 *e∧ t/10 + C

for initial condition t = 0

4    =  20 + C

C = -16

a) x* e∧ t/10  =  20 *e∧ t/10 - 16

b) in 10 minutes

x* e∧ t/10  =  20 *e∧ t/10 - 16

x *e  =  20*e  - 16

x   =   20  -  16/e

x   =  20  -  16/2,718

x   =   20 -  5,88

x  =  14,2  gallons.

c) After a very long time we will find 20 gallons of bleach in the tank

5×45= 225

12×23= 276

276+225= 501

the answer is 501 ^^

Answer:

501

Step-by-step explanation:

my brain duh big brain me little brain you

s = 2b + PH  

s =  4(3 * 4) + (8)(96) =

s = 4(12) + (8)(96)

s =  48 + (8)(96)

s = 48 + 768

s =  816

Answer: 1/10

Step-by-step explanation:

Answer:

1/10 pound

Step-by-step explanation:

If you set up the equation as 3/5 - 1/2, you'll have to give them a common denominator. Multiply 3/5 by 2 and multiply 1/2 by 5, and now you can rewrite this equation as 6/10 - 5/10. From here, just subtract and you'll get 1/10.

Answer:

what does fy mean

Step-by-step explanation:

Step-by-step explanation:

I tell my friends about this and I found that FY means Fiscal year

Answer:

the other angle equal 52

we can use the specail trangle 3 4 5

300 400 500

the 38 degrees angle meet 300

and the 52 degrees angle meet 400

so the answer is 300 i dont know if you understand but i hope you are

pls ask in the comments and i will try to explain because my ebgilish the baddest

Answer:

(0, 9), (0, 0), (0, 1)

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

Step-by-step explanation:

we fix tvs

20h+60

electronic depot

40h+0

Answer:

And there are twelve angles... So, the measure of the interior angle of a regular dodecagon is 150 degrees.

Step-by-step explanation:

Answer:

8.4753518e+20

Step-by-step explanation:

I used calculator. You should've used a calculator too.

Answer:

Midline is at y = 0

Amplitude is; A = 1.5

g(a) = 1.5 sin 0.5x

Period = 4π

Max value; y = 1.5

Min value; y = -1.5

Step-by-step explanation:

From the graph, we know that amplitude is highest point of the graph which is 1.5.

Thus, A = 1.5

Now,period from the graph is distance between where the graph repeats which in this case is 2π + 2π = 4π

Now, equation of this curve is;

y = A sin(B(x + C)) + D

Where;

A is amplitude

B is 2π/period = 2π/4π = ½

C is phase shift

D is vertical shift

The function g(a) that will represent the behavior of the graphed function would be gotten by Plugging in the relevant values but in this case, there are no phase shifts or vertical shifts. Thus, C = D = 0

g(a) = 1.5 sin 0.5x

Midline is the point between the maximum and minimum values.

Max value is at y = 1.5

Min value is at y = -1.5

Midline of both from the graph is at x = -π/2 which is at y = 0

Answer:

D. a = m + 30

Step-by-step explanation:

It's not A, because that would be dividing Malik's score in half to get Alexia's score.

B only works for the first line.

C is adding 10 to Malik's score, and the difference is greater than that...it's 30 points.

Answer: [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

First, we need to find the common denominator

The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.

2 × 5 = 10

So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:

[tex]\frac{3*2}{5*2}[/tex] = [tex]\frac{6}{10}[/tex]         We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.

Do the same thing for the other one:

[tex]\frac{1*5}{2*5}[/tex] = [tex]\frac{5}{10}[/tex]

Finally, subtract the two fractions to find the difference between the two times:

[tex]\frac{6}{10} -\frac{5}{10}[/tex] = [tex]\frac{1}{10}[/tex]

The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.

Answer:

thers no question

Step-by-step explanation:

Answer:

First point: -4 on y axis.

Second point: (2, -5)

Step-by-step explanation:

When graphing, we always set the equation as y=mx+b where m = slope and b = y intercept

y = mx + b

y = [tex]-\frac{1}{2}x-4[/tex]  

Then we plot by starting with the y intercept going four units down, one unit below and two units to the right.

Answer:

option D)

Step-by-step explanation:

when a equilateral triangle  is rotated about x-axis

rotating equilateral triangle about x-axis will lead to the formation of cone in.

the height of the equilateral triangle  will represent height of the cone.

the base of the equilateral triangle will represent the circular base of the cone

and the slant height of the cone will represented by the sides.

hence, the correct answer will cone which is option D)

Answer:

[tex]y=80-\frac{8x}{7}[/tex]

Step-by-step explanation:

15). Given equation is,

     [tex]\frac{x}{7}+ \frac{y}{8}=10[/tex]

     Multiply the equation by 8,

     [tex]8(\frac{x}{7}+ \frac{y}{8})=10\times 8[/tex]

     [tex]\frac{8x}{7}+y=80[/tex]

     Subtract [tex]\frac{8x}{7}[/tex] from both the sides of the equation,

     [tex]\frac{8x}{7}+y-\frac{8x}{7}=80-\frac{8x}{7}[/tex]

     [tex]y=80-\frac{8x}{7}[/tex]

     Therefore, value of the variable 'y' will be,

     [tex]y=80-\frac{8x}{7}[/tex]

Answer:

3×+9=5x-5

-2×=-14

×=7...thenCD=3(7)+9=30

Answer:

(x+2), (x-4), (x-3)

Step-by-step explanation:

Use the rational root theorem to get started, then factor the remaining quadratic to find:

x^3 − 5x^2 − 2x + 24 = (x + 2)(x − 4)(x − 3)

Explanation:

Let  f(x) =x^3 − 5x^2 − 2x + 24

By the rational root theorem, any rational zeros of  f(x)  must be expressible in the for p/q for integers p, q with p a divisor of the constant term 24 and q a divisor of the coefficient 1 of the leading term.

That means that the only possible rational zeros are the factors of 24, namely:

± 1, ± 2, ± 3, ± 4, ± 6, ± 12, ± 24

Try each in turn:

f(1) = 1 − 5 − 2 + 24 = 18

f(−1) = −1 − 5 + 2 + 24 = 20

f(2) = 8 − 20 − 4 + 24 = 8

f(−2) = −8 − 20 + 4 + 24 = 0

So  x = −2  is a zero and (x + 2) is a factor.

x^3 − 5x^2 − 2x + 24 = (x + 2)(x^2 − 7x + 12)

We can factor  

x^2 − 7x + 12 by noting that 4 × 3 = 12 and 4 + 3 = 7, so:

x^2 − 7x + 12 = (x − 4)(x − 3)

Putting it all together:

x^3 − 5x^2 − 2x + 24  =  (x + 2)(x − 4)(x − 3)

Answer:

divide by 6

6 ( 3x - 7y + 5z )

Answer:

27,29

Step-by-step explanation: