Which of the following functions has a domain of x ≥ 0?
linear
squaring
square root
cubing

Answer:

Step-by-step explanation:

We must calculate the lateral area of a cylinder.

The formula is:

[tex]A=2\pi rH[/tex]

r - radius

H - height

We have H = 6 cm and r = 3.5.

Substitute:

[tex]A=2\pi(3.5)(6)=42\pi\ cm^2[/tex]

Use [tex]\pi\approx\dfrac{22}{7}[/tex]

[tex]A\approx42\left(\dfrac{22}{7}\right)=(6)(22)=132\ cm^2[/tex]

The side length of the canvas is best found by using the quadratic formula

because the equation is prime. Solving the equation produces two

approximate measurements, and one must be discarded for being

unreasonable.

I took the test and this was correct.

Answer:THE ANSWER IS

300% PLEASE BRAINEST ME!

Answer:

The answer is D hope this helps

Step-by-step explanation:

Answer:

= 22x - 9

Step-by-step explanation:

To find the perimeter of a triangle, we add the three sides

P=(8x-2) + (5x-4) + (9x-3)

Combine like terms

P = 8x+5x+9x + (-2-4-3)

  = 22x - 9

Answer:

22x - 9

Step-by-step explanation:

Its easy.

(2l+2w) is that right

Answer:

3975

Step-by-step explanation:

fog functions are basically f(g(o)).

So for this problem, it would be f(g(-7)).

Plug in -7 to the g(x) equation first, and you should get -63.

Then plug -63 into the f(x) equation, and you should finish with 3975.

Answer:

Step-by-step explanation:

Well 7 is the only number that can be divided by itself and 1

Answer:

Hello!

Great question.

The correct answer would be "Prime Number."

Step-by-step explanation:

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.

Answer:

x=2

Step-by-step explanation:

The formula for inverse variation is

xy = k

We know x = 4 and y = 8

4*8= k

32 = k

xy = 32

We want to find x when y = 16

x*16 = 32

Divide each side by 16

16x/16 = 32/16

x =2

Answer:

xy=32

16x=32

x=2

Answer:

6√3 cm

Step-by-step explanation:

The hypotenuse of a right triangle is 12 centimeters, and the shorter leg is 6 centimeters then the other leg is 6√3

Answer:

j:19 days

s:23 days

23-19=4

4 days

Step-by-step explanation:

Answer: 14 cars 4 left over

Step-by-step explanation:

74/5=14.8

14 x 5 = 70

4 wheels left over

Answer:

True

Step-by-step explanation:

We have the serie:

[tex]\frac{1}{25}+ \frac{1}{36} + \frac{1}{49}+...[/tex]

To test whether the series converges or diverges first we must find the rule of the series

Note that:

[tex]5^2 = 25\\\\6^2 = 36\\\\7^2 = 49[/tex]

Then we can write the series as:

[tex]\frac{1}{5^2}+ \frac{1}{6^2} + \frac{1}{7^2}+...[/tex]

Then:

[tex]\frac{1}{5^2}+ \frac{1}{6^2} + \frac{1}{7^2}+... = \sum_{n=5}^{\infty}\frac{1}{n^2}\\\\\sum_{n=5}^{\infty}\frac{1}{n^2} = \sum_{n=1}^{\infty}\frac{1}{(n+4)^2}[/tex]

The series that have the form:

[tex]\sum_{n=1}^{\infty}\frac{1}{n^p}[/tex]

are known as "p-series". This type of series converges whenever [tex]p > 1[/tex].

In this case, [tex]p = 2[/tex] and [tex]2 > 1[/tex]. Then the series converges

15 Answer:  S₁ = 1       S₂ = 4        S₃ = 13        S₄ = 40       Sum = NO            

Step-by-step explanation:

1 + 3 + 9 + 27 + ...    [tex]\implies\sum^{\infty}_{n=1}3^{n-1}\implies\sum^{\infty}_{n=1}\dfrac{3^n}{3}\\\\\bullet S_1=1\\\bullet S_2=1+3=4\\\bullet S_3=1+3+9=13\\\bullet S=1+3+9+27=40\\\\\\ \lim_{n \to \infty} \dfrac{3^n}{3} \implies\dfrac{3^{\infty}}{3}\implies\infty\\\\\text{The series diverges so there is no sum.}[/tex]

16 Answer:      [tex]\bold{S_1=\dfrac{1}{2}\qquad S_2=\dfrac{2}{3}\qquad S_3=\dfrac{13}{18}\qquad S_4=\dfrac{39}{54}\qquad Sum=YES}[/tex]        

Step-by-step explanation:

[tex]\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}+\dfrac{1}{162}+...\implies \sum^{\infty}_{n=1}\dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\\\\\\\bullet S_1=\dfrac{1}{2}\\\\\bullet S_2=\dfrac{1}{2}+\dfrac{1}{6}=\dfrac{2}{3}\\\\\bullet S_3=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}=\dfrac{13}{18}\\\\\bullet S_4=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}=\dfrac{39}{54}[/tex]

[tex]\lim_{n \to \infty} \dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\implies \dfrac{1}{2}\lim_{n \to \infty} \dfrac{1}{3^{\infty-1}}\implies \dfrac{1}{\infty}=0\\\\\\\text{The series converges so it does have a sum.}[/tex]

Answer:

C. 20

Step-by-step explanation:

The given limit is

[tex]\lim_{x \to 2} (3x^3 +x^2-8)[/tex]

This a limit of a polynomial function.

We plug in the limit directly to obtain;

[tex]\lim_{x \to 2} (3x^3 +x^2-8)=3(2)^3+(2)^2-8[/tex]

We simplify to get;

[tex]\lim_{x \to 2} (3x^3 +x^2-8)=3(8)+4-8[/tex]

[tex]\lim_{x \to 2} (3x^3 +x^2-8)=24+4-8[/tex]

[tex]\lim_{x \to 2} (3x^3 +x^2-8)=20[/tex]

The correct choice is C

Answer:

a) [tex]N_0=250\; k=0.15 [/tex]

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies [tex]t=0[/tex]. And [tex]N(0)=N_0[/tex]. The process is:

[tex]N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250[/tex]

b) After 2 days means [tex]t=48[/tex]. So, we just replace and operate:

[tex]N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}[/tex]

c) [tex]N(t_1)=4000; \;t_1=?[/tex]

[tex]N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\  \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h [/tex]

d) [tex]t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)[/tex]

[tex]N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h [/tex]

➷ Find the multiplier:

28/100 = 0.28

1 - 0.28 = 0.72

Multiply the total amount by this multiplier:

40,000 x 0.72 = 28,800

She will make $28,800

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

She will make 28,800 dollars after tax.

Step-by-step explanation:

just subtract 28 percent of 40,000.

Or even simpler just follow peachy's instructions cause she/he did her crud right. a percentage is the same as a decimal. 1 percent is 0.01. since 28 percent is 0.28 we subtract 0.28 from one, because 1 is 100 percent. Also,all of this is the same as subtracting 28 percent of 40,000 from 40,000 1 - 0.28= 0.72, and multiply 40,000 by 0.72.

All credit on this part is peachy's thank her/his answer and give her/him brainliest. :)

btw why i say him/her, he/she, and her/his is because I dot want to assume gender

Answer:

Part 5) [tex]x=50\°[/tex]

Part 6) [tex]x=15\°[/tex]

Step-by-step explanation:

Part 5) we know that

[tex](2x-10)\°+90\°=180\°[/tex] -----> by consecutive interior angles (supplementary angles)

solve for x

[tex]2x=180\°-80\°[/tex]

[tex]2x=100\°[/tex]

[tex]x=50\°[/tex]

Find the value of the labeled angle

[tex](2x-10)\°=2(50\°)-10\°=90\°[/tex] ----> is a right angle

Verify the answer

we know that

In a quadrilateral the sum of the internal angles must be equal to 360 degrees

so

[tex](2x-10)\°+90\°+(180-x)\°+x\°=360\°[/tex]

[tex](2x+260)\°=360\°[/tex]

substitute the value of x

[tex]2(50\°)+260\°=360\°[/tex]

[tex]360\°=360\°[/tex] ------> is true, therefore the value of x is correct

Part 6) we know that

[tex](8x+10)\°+(4x-10)\°=180\°[/tex] -----> by consecutive interior angles (supplementary angles)

solve for x

[tex]12x=180\°[/tex]

[tex]x=15\°[/tex]

Find the value of each labeled angle

[tex](8x+10)\°=8(15\°)+10\°=130\°[/tex]

[tex](4x-10)\°=4(15\°)-10\°=50\°[/tex]

[tex]130\°[/tex] and [tex]50\°[/tex] are supplementary angles

Answer:

B

Step-by-step explanation:

Since the d value is changed, we're talking about a vertical transformation. Since d > 0, the graph is shifted up.

Answer:

84 feet to the nearest foot.

Step-by-step explanation:

We have a right angled triangle with adjacent side (A) = 100 and you want to find the height of the tower, the opposite side (O).

A = 100 , O = ? so we need the tangent , (from SOH-CAH-TOA).

tan 40 = O/ 100

O = 100 tan 40

= 83.9 feet.

Final answer:

To determine the height of the tower, we can use the tangent of the angle of elevation, 40 degrees, multiplied by the distance, 100 feet, which results in approximately 84 feet.

Explanation:

To find the height of a tower with an angle of elevation of 40°, observed from 100 feet away, you can use trigonometric functions. Specifically, the tangent function, which is defined as the ratio of the opposite side (the height of the tower we're looking for) to the adjacent side (the distance from the tower).

We have:

The angle of elevation (θ) = 40°

The distance from the tower (adjacent side) = 100 feet

The height of the tower can be calculated as:

height = tan(θ) × adjacent side
= tan(40°) × 100 feet

Using a calculator, we find:

height = tan(40°) × 100
= 0.8391 × 100
≈ 84 feet (to the nearest foot)

Therefore, the tower is approximately 84 feet high.

Answer:

[tex]\text{The coordinates of point is }P(a,b)=(\frac{80}{7}, \frac{17}{7})[/tex]

Step-by-step explanation:

[tex]\text{Given the coordinates of point that is }\frac{1}{6}\text{ of the way from a(14, -1), b(-4, 23)}[/tex]

[tex]\text{If a point }P(a, b)\text{ divides the line joining two points }(x_1,y_1)\text{ and }(x_2, y_2)\\ \text{ in the ratio m:n internally, then the coordinates of point P are given by}[/tex]

[tex]P(a,b)=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})[/tex]

The two points given are a(14, -1), b(-4, 23) and ratio m:n=1:6

[tex]P(a,b)=(\frac{1(-4)+6(14)}{1+6}, \frac{1(23)+6(-1)}{1+6})[/tex]

[tex]P(a,b)=(\frac{80}{7}, \frac{17}{7})[/tex]

Answer:

A second degree trinomial or a quadratic expression.

Step-by-step explanation:

The expression;

3x^2 -6x +10 , is a Quadratic expression or a second degree trinomial.

A Trinomial is a three term polynomial like the one above; that is,

3x^2 -6x +10.

A second degree trinomial  or polynomial is an expression of the form.

ax2 + bx + c , where a ≠ 0.

Answer:log(x-3)

Step-by-step explanation:

log(A)-log(B) is log(A/B) then this would be log[(x^2-9)/(x+3)]

x^2-9 is (x-3)(x+3) then the answer is log(x-3)

Answer:

12% of men are left-handed.

Answer: Defualt

Step-by-step explanation: Dan

Answer:

150 miles

Step-by-step explanation:

Find the unit rate (MPH) by dividing miles travlled by hours.

    300/6 = 50 MPH

    250/5 = 50 MPH

Multiply the hours on day 3 (3) by 50 MPH

    3*50 = 150 miles

Answer:

150 miles

Step-by-step explanation:

The relationship between speed, time and distance is such that the product of speed and time is distance.

Given that they drove the same speed throughout the trip

Speed on day one given that distance covered is 300 miles in 6 hours,

Speed = 300 miles/ 6 hours

= 50 miles per hour

Speed on day two given that distance covered is 250 miles in 5 hours

= 250 miles/ 5 hours

= 50 miles per hour

If on the third day, the speed is maintained and they drove for 3 hours,

Distance covered = 50 miles per hour × 3 hours = 150 miles

Answer:

B.   y = e^(-2/x).

Step-by-step explanation:

dy/dx = 2y / x^2

Separate the variables:

x^2 dy = 2y dx

1/2 * dy/y =  dx/x^2

1/2  ln y = = -1/x  + C

ln y = -2/x +  C

y = Ae^(-2/x)  is the general solution ( where A is a constant).

Plug in the given conditions:

e = A e^(-2/-2)

e = A * e

A = 1

So the specific solution is y = e^(-2/x).

Final answer:

The separable differential equation [tex]dy/dx = 2y/x^2[/tex] can be solved by separating variables, integrating both sides, and then applying the given initial condition y(-2) = e to find the specific solution, which is [tex]y = e^{-2/x},[/tex] corresponding to answer option B.

Explanation:

To solve the given separable differential equation [tex]dy/dx = 2y/x^2[/tex], we first separate the variables:

[tex]\( \frac{dy}{y} = \frac{2}{x^2}dx \)[/tex]

Next, we integrate both sides:

[tex]\( \int \frac{1}{y}dy = \int 2x^{-2}dx \)[/tex]

Which gives:

[tex]ln|y| = -2/x + C[/tex]

Now, we apply the initial condition y(-2) = e to find C:

ln(e) = [tex]-2/(-2) + C \Rightarrow 1 = 1 + C \Rightarrow C = 0[/tex]

Thus, the specific solution is:

[tex]y = e^{-2/x}[/tex]

So, the correct answer is option B, y equals e raised to the negative 2 over x power.

Tommy has 3 and 1/3 jars but 3 of them are full .

Okay so 5*2/3 =10/3 which is 3 1/3

Answer:

x ≈ 5 years

Step-by-step explanation:

Given amount = A = 500 mg

Decay rate = r = 10% per year

Remaining amount = L = 295.25 mg

The formula to calculate remaining amount after x years decay =

L = A((100-r)/100)^x

By putting values in this formula, we get

295.25 = 500 ((100-10)/10)^x

295.25 = 500 (0.90)^x    

295.25/500 = 0.90^x

0.5905 = 0.90^x

0.90^x =0.5905

taking log on both sides

ln(0.90^x) =ln(0.5905)

x*ln(0.90) =ln(0.5905)  using property of log

x = ln(0.5905)/ln(0.90)

x = 4.9984

x ≈ 5 years

Answer:

The number of banana splits sold was [tex]28[/tex]

Step-by-step explanation:

Let

x-----> the number of sundaes sold

y-----> the number of banana splits sold

we know that

[tex]2x+3y=156[/tex] -----> equation A

[tex]x=y+8[/tex] ----> equation B

substitute equation B in equation A and solve for y

[tex]2(y+8)+3y=156[/tex]

[tex]2y+16+3y=156[/tex]

[tex]5y=156-16[/tex]

[tex]5y=140[/tex]

[tex]y=28[/tex]

Answer:

See below  

Step-by-step explanation:

7)

AT² = 11² + 4² = 121 + 16 = 137

AT = √137

sinA = DT/AT = 11/√137 = (11√137)/137

cosA = AD/AT = 4/√137 = (4√137)/137

tanA = DT/AD                 = 11/4

sinT = AD/AT = 4/√137 = (4√137)/137

cosT = DT/AT = 11/√137 = (11√137)/137

tanT = AD/DT                 = 4/11

9)

AT² = 8² + 3² = 64 + 9 = 73

AT = √73

sinA = LT/AT = 8/√73 = (8√73)/73

cosA = AL/AT = 3/√73 = (3√73)/73

tanA = LT/AL                = 8/3

sinT = AL/AT = 3/√73 = (3√73)/73

cosT = LT/AT = 8/√73 = (8√73)/73

tanT = AL/LT                = 3/8

11)

    6² =  4² + RT²

  36 = 16  + RT²

RT² = 20

RT =√20 = √(4× 5) = 2√5

 sinA = RT/AT = (2√5)/6 = (√5)/3

cosA = AR/AT = 4/6        = 2/3

tanA = RT/AR = (2√5)/4 = (√5)/2

 sinT = AR/AT = 4/6        = 2/3

cosT = RT/AT = (2√5)/6 = (√5)/3

tanT = AR/RT = 4/(2√5)  = (2√5)/5