What is the surface area of a cylinder that has a radius of 7 m and a height of 18 m?
879.65 m2
1099.56 m2
615.75 m2
395.84 m2

Answer:

a > -2

Step-by-step explanation:

-12a +7<31

Subtract 7 from each side

-12a +7-7<31-7

-12a <24

Divide by -12, remembering to flip the inequality

-12a/-12 >24/-12

a > -2

Answer:

a>-2

Step-by-step explanation:

[tex]\sf{}[/tex]

=> -12a +7 <31

=> -12a+7-7<31-7

=> -12a<24

=> a>-2

Answer:

-8, 5 , 0 , -7 , 16

Step-by-step explanation:

Given

[tex]t_n = (-1)^{n+1}(n^2 - 9)[/tex]

Required

The first five terms

When [tex]n = 1[/tex]

[tex]t_1 = (-1)^{1+1}(1^2 - 9)[/tex]

[tex]t_1 = (-1)^{2}(1 - 9)[/tex]

[tex]t_1 = -8[/tex]

When [tex]n =2[/tex]

[tex]t_2 = (-1)^{2+1}(2^2 - 9)[/tex]

[tex]t_2 = (-1)^3 * (4 - 9)[/tex]

[tex]t_2 = 5[/tex]

[tex]t_3 = (-1)^{3+1}(3^2 - 9)[/tex]

[tex]t_3 = (-1)^{4}(9 - 9)[/tex]

[tex]t_3 = 0[/tex]

[tex]t_4 = (-1)^{4+1}(4^2 - 9)[/tex]

[tex]t_4 = (-1)^5(16 - 9)[/tex]

[tex]t_4 = -7[/tex]

[tex]t_5 = (-1)^{5+1}(5^2 - 9)[/tex]

[tex]t_5 = (-1)^{6}(25 - 9)[/tex]

[tex]t_5 = 16[/tex]

So, the first five terms are: -8, 5 , 0 , -7 , 16

Answer:

x- 1

y-5

z-3

Step-by-step explanation:

all u have to do is calculate the distance, so for example y is 5 because - -4 -3 -2 -1 0 1 and that is a 5 number distance

Step-by-step explanation:

d = z - 9

d = 10 - 9  ----> substitute

d = 1

Answer:

Step-by-step explanation:

Point-slope equation for line of slope m that passes through (x₀, y₀):

y-y₀ = m(x-x₀)

apply your data

y-2 = 4(x-6)

Answer:

y−2= −2(x−7)

Step-by-step explanation:

khan academy says its right

Step-by-step explanation:

Remove the parentheses: 15a²-6ab+8a²+20+5ab-31+a²-ab Combine like terms: 24a²-2ab-11

Answer: 24a²-2ab-11

Hi

As you can only add or substract item of the same nature, you must re organise  terms.

so :

A = 15 a2 - 6ab- 8 a2+ 20 - 5ab - 31 + a2- ab  

Here  I have  :   " a²"  ;  "ab"  then numbers.

In general, you start with letters with highest exponant.  If two letters have the same exponent, use alphabetic order.

let's  put order  :

A = 15a²-8a²+a² -6ab-5ab -ab+20-31  

Now you  add or substract item of the same kind :  

A = 8a² -12ab - 9

Here I can not do anything else, so calculus is over.  

Answer:

Undefined

Step-by-step explanation:

Slope formula = [tex]\frac{y_{2}-y_{1}}{y_{2}-y_{1}}[/tex]

[tex]\frac{4-(-6)}{4-4}[/tex]

[tex]\frac{10}{0}[/tex]

A number can not have a denominator of 0, therefore making the slope undefined.

Answer:

Undefined.

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_1-y_2}{x_1-x_2}[/tex]

[tex]m=\frac{-6-4}{4-4}=\frac{-10}{0}=[/tex] Undefined

Answer:

The answer is [tex]x=-16[/tex] ±[tex]2\sqrt{3}[/tex] in exact form or [tex]x=-12.535898[/tex], [tex]x=-19.464102[/tex] in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring [tex]x+16[/tex], which will look like [tex]x^{2} +32x+256-12=0[/tex]. Next, simplify the equation again, which will look like [tex]x^{2} +32x+244=0[/tex].

Then, use the quadratic formula to find the solutions. The quadratic formula looks like[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex].

For this problem, the quadratic variables are as follows:

[tex]a=1[/tex]

[tex]b=32[/tex]

[tex]c=244[/tex]

The next step is to substitute the values [tex]a=1[/tex], [tex]b=32[/tex], and [tex]c=244[/tex] into the quadratic formula and solve. The quadratic formula will look like [tex]\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}[/tex]. To simplify the equation, start by simplifying the numerator, which will look like [tex]x=\frac{-32(+-)4\sqrt{3} }{2*1}[/tex]. Then, multiply 2 by 1 and simplify the equation, which will look like [tex]x=-16(+-)2\sqrt{3}[/tex]. The final answer is [tex]x=-16[/tex] ±[tex]2\sqrt{3}[/tex] in exact form. In decimal form, the final answer is [tex]x=-12.535898[/tex], [tex]x=-19.464102[/tex].  

9514 1404 393

Answer:

Step-by-step explanation:

1. House prices vary considerably. In January, 2021, the median US house price was about $269,000, growing at the rate of about 3.2% per year. For the purpose of this problem, we have chosen a slightly lower price of ...

   $250,000 . . . selected house price

20% of this price is ...

  0.20 × $250,000 = $50,000 . . . amount of down payment

__

2. House prices are growing faster than the interest rate we can get at the bank, so we want to minimize the amount of time we save for a down payment. At the same time, we recognize that saving this amount quickly will put a significant strain on the budget. We choose a period of 2 years, and assume a bank rate on savings of 3%. (US rates in mid-2021 average about 0.04%.) This annuity formula gives the future value of a series of payments:

  A = P((1+r/12)^(12t)-1)(12/r) . . . . monthly payment P at annual rate r for t years

Solving for P, we have ...

  P = A(r/12)/((1 +r/12)^(12t) -1)

Filling in the chosen numbers, we find we need to save ...

  P = $50,000(0.03/12)/(1 +0.03/12)^(12·2) -1) = $50,000(0.0025)/0.06175704

  P = $2024.06

$2024.06 needs to be deposited every month for 2 years at 3%.

__

3. The mortgage will be for ...

  $250,000 -50,000 = $200,000

We assume we can get an APR of 5% on a 30-year loan. (US rates in mid-2021 are around 3.2%.) The formula for the payment amount is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . principal P at rate r for t years

Filling in the chosen numbers, we find the monthly payment to be ...

  A = $200,000(0.05/12)/(1 -(1 +0.05/12)^(-12·30))

  = $200,000(0.0041666667)/0.77617340 = $1073.64

The monthly mortgage payment will be $1073.64.

Answer:

144

Step-by-step explanation:

Answer:

first you have to now each side length ,since it is square so all sides are equal so 48/4=12 i.e perimeter =4 so our qoustion is area so the area of square is side square

Step-by-step explanation:

so side =12 , 12square is 144 that set.

Answer:

i gues none... bcuz its irregular symmetry shape

Answer:

1 because it takes a full rotation to get back to a symmetrical shape. or 2 because it is the same halfway around.

Answer:

the lines are perpdicular if you were to get some graph paper and graph u would see

Answer:

x = 7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Pytago:

[tex]7^2 + 7^2 = x^2\\x = \sqrt{7^2 + 7^2} \\x = 7\sqrt{2}[/tex]

Step-by-step explanation:

In a right triangle, you can find the leg of the triangle by using the Pythagorean theorem.

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

In this case, we have [tex]7^2+7^2=c^2[/tex], or

[tex]c^2=98[/tex]

[tex]\sqrt{98}[/tex]≅[tex]9.9[/tex]

Answer:

C

Step-by-step explanation:

e = 20 ° angles subtended by the same arc are equal

d = 20° opp base angles of an isosceles are equal

a+d =90° angles subtended by a diameter = 90°

a+20=90°

a=70°

Answer:

A.  5

Step-by-step explanation:

Parallel lines have the same slope.

Answer:

5

Step-by-step explanation:

Answer:

2x + 5

Step-by-step explanation:

((3x2)+x+8) + (x-9)

= ((6) + x +8) + (x -9)

= (14 +x) + (x-9)

= 14 + x + x -9

= 2x + 5

answered by g a u t h m a t h

9514 1404 393

Answer:

  zero

Step-by-step explanation:

3(2x) = x/2

5.5x = 0 . . . . subtract x/2

x = 0 . . . . . . . divide by 5.5

The number is zero.

Answer:

the answer is "D"

(2x+1)(x+3)(x-3)  //// -3,-.5,3

Step-by-step explanation:

Factored Form:  y= (2x+1)(x+3)(x-3)    

Answer:

D

Step-by-step explanation:

[tex]f(x) = (2x^2 +7x + 3)(x - 3)[/tex]  is factored into: [tex]f(x)= (2x+1)(x+3)(x-3)[/tex]

That takes out the choices B and C.

The roots are -0.5, 3, and -3.

Therefore, the answer is D.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

Step-by-step explanation:

y=x²-10x-7

a>0 so we will be looking for minimum

x=-b/2a=10/2=5

y=25-50-7=-32

Answer: (5;32)

y=-4x²-8x+1

а<0 so we will be looking for maximum

х=-b/2a=8/-8=-1

у=4+8+1=13

Maximum point (-1;13)

Answer:

y=3x+6

Step-by-step explanation:

in a line graph, y=mx+c

m refers to gradient, c refers to y-intercept.

since lines are parallel, both lines have the same gradient.

the line intersects (1,9)

x=1,y=9

9=3(1)+c

c=6

so y=3x+6

Answer:

y = 3x+6

Step-by-step explanation:

Parallel lines have the same slope

y = 3x+2 is in slope intercept form (y=mx+b where m is the slope and b is the y intercept)

So the slope is 3

Y = 3x+2

Using the point given substitute into the equation and solve for b

9 = 3(1)+b

9 =3+b

9-3 =b

6=b

y = 3x+6

Answer:

10.2

Step-by-step explanation:

Length of arc=(2*pi*r)*(theta/360)

Length of arc=(2*pi*3)*(195/360)=10.2

Answer:

Irrational

Step-by-step explanation:

Any non-zero rational number multiplied by an irrational number will be irrational. We can rewrite this as (8.57... * 5) / 8, but we have no idea how to make 8.57... * 5 rational, or expressed as the quotient of two integers.

Answer:

15 months old.

Step-by-step explanation:

Let m = months and h = height:

h = 1/3(m + 75) ⇔ h = 1/3m + 25

Let h = 30:

[tex]30=\frac{1}{3}m+25\\5=\frac{1}{3}m\\15=m[/tex]

Therefore, when Asia is 30 inches tall, she will be 15 months old.

Answer:

10x-17

Step-by-step explanation:

f(x) = x^2 + 9x – 14

g(x) = x^2 – x + 3

(f – g)(x)=x^2 + 9x – 14  - (x^2 – x + 3)

Distribute the minus sign

(f – g)(x)=x^2 + 9x – 14  - x^2 + x - 3

Combine like terms

    =10x-17

9514 1404 393

Answer:

  D.  (0, 6)

Step-by-step explanation:

The origin is where the axes cross. The coordinates of that point are (0, 0). The distance of a point (x2, y2) from point (x1, y1) is given by the distance formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

When (x1, y1) = (0, 0), this reduces to ...

  d = √(x² +y²)

We want to find (x, y) such that d=6. This can be a little easier if we square both sides of the equation to eliminate the radical.

  x² +y² = 6² = 36

This is the equation of a circle of radius 6 centered at the origin: all points that are distance 6 from the origin. So, any point on the circle will be at a distance of 6 from the origin.

__

The sum of squares in each case is ...

  A. 3² +0² = 9 . . . inside the circle

  B. 4² +2² = 20 . . . inside the circle

  C. 5² +3² = 34 . . . inside the circle

  D. 0² +6² = 36 . . . on the circle at a distance of 6 from the origin

  E. 4² +4² = 32 . . . inside the circle

  F. 1² +5² = 26 . . . inside the circle

Answer:

81

Step-by-step explanation:

180-41-58=81

angles in a triangle add up to 180 :)