What’s the surface area of this shape?

Answer:

Step-by-step explanation:

A) We are given two pairs of (t, P): (0, 48000), (8, 44880). We can use these with the 2-point form of the equation of a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  P = (44880 -48000)/(8 -0)(t -0) +48000

  P = -3120/8t +48000

  P = -390t +48000

__

B) In 2003, t = 11, so we have ...

  P = -390(11) +48000 = 43710

The population in 2003 is predicted to be 43,710.

Answer:

No solution

Step-by-step explanation:

Because x = 0

Answer:

an obtuse angle is an angle more than 90 degrees but less than 180 degrees

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

3x-4y=65

3x=65+4y

x=(65+4y)/3, when y=4

x=(65+4*4)/3

x=(65+16)/3

x=81/3

x=27

Answer:

D.strong

Step-by-step explanation:

Answer:

strong

Step-by-step explanation:

definitely not parabolic

pretty positive (not negative)

pretty strong (not weak)

I guess strong

(don't be angry if it is wrong, I'm not a regression and best fit expert)

Answer:

7 nickels, 12 dimes

Step-by-step explanation:

n+d= 19

5n+10d= 155 ⇒ n+2d= 31

comparing the 2 equations we get

d=12, then n= 7

Answer:

x = 40

Step-by-step explanation:

Given 2 secants to a circle from an external point, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

8(8 + x) = 12(12 + 20) ← distribute parenthesis on both sides

64 + 8x = 12 × 32 = 384 ( subtract 64 from both sides )

8x = 320 ( divide both sides by 8 )

x = 40

Answer:

9

Step-by-step explanation:

f(x) = x•x

f(-3) = -3*-3

f(-3)= 9

Answer:

(a) t = 7 sec approximately; (b) t = 6 sec

Step-by-step explanation:

(a)  Set h(t)= -16(t-3)^2 + 288 = 0 and solve for t:

                     16(t-3)^2 = 288  

       After simplification, this becomes (t - 3)^2 = 18, or t - 3 = ±3√2.

        Because t can be only zero or positive, t = 3 + 3√2 = 7 seconds

(b) Solve h(t)= -16(t-3)^2 + 288 = 150:

                        -16(t-3)^2 = - 162

      or                (t - 3)^2 = 10.125, or

                            t - 3 =  ±3.18, or, finally, t = 6.18 sec (discard t = -0.18 sec)

Answer:

2√10

Step-by-step explanation:

The length of this line segment lies along the hypotenuse of a right triangle.  As we go from (3, -2) to (5, 4), the horizontal change is 2, and the vertical change 6.  Apply the Pythagorean Theorem to find the length of the hypotenuse, which is also the line segment in question:

length = √[ 2^2 + 6^2 ] = √[4 + 36] = √40 = √4·√10 = 2√10

Answer:

4p - 2

4(8) - 2

32 - 2 = 30

This is because you have to substitute the value of the number they give into the equation. This will give you the number of 4 to be multiplied by 8. This is because the x is the number 8.

Hope this helped!

Answer:

What is the value of 4p − 2 when P 8?

the answer is 30.

Step-by-step explanation:

Answer:

x=0

so the roots are (0,0)

Answer:

Triangular Pyramid

Step-by-step explanation:

A triangular pyramid has 4 triangular sides and a rectangular base

mine was Square, Pyramid

that is what my answer was.

Hope you have a Blessed Day

God is with you.

Answer:

A. It provides health insurance for people who are retired or disabled.

Step-by-step explanation:

FICA stands for Federal Insurance Contributions Act, which is a law. It is a compulsory tax from the payroll of all employees in the United State to provide health insurance for retired as well as disabled people. It has a definite percentage with no conditional or exemption deductions to assist the government to fund social security and medicare.

This make it possible for the government to cater for the two sects of people  in the society that are registered easily.

Answer:

24 units squared or D

Step-by-step explanation:

The Surface Area of a cube is 6(x²) x is the side length.

x=2

6(4)=24

The value of surface area of cube is,

⇒ SA = 24 units²

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

Given that;

Side of cube = 2 units

Now, We know that;

the surface area of the cube with side 'a' is,

⇒ SA = 6a²

Hence, We get;

the surface area of the cube is,

⇒ SA = 6 × 2²

⇒ SA = 24 units²

Learn more about the cuboid visit:

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Answer:

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment. hope that helps love!

Answer:

[tex]\{p_1,p_2\}$ is a basis of Span\{p_1,p_2,p_3\}[/tex]

Step-by-step explanation:

Given the polynomials:

[tex]p_1(t) = 1 + t\\ p_2(t) = 1 -t\\p_3(t) = 2\\[/tex]

On Inspection

[tex](1+t)+(1-t)=1+1+t-t=2\\$Therefore:\\p_1(t)+p_2(t)=p_3(t)[/tex]

By the Spanning Theorem  

If one vector in S is a linear combination of the others, we can delete it and get a subset (one vector smaller) [tex]S' \subseteq S[/tex] that has the same span.

Therefore, since [tex]p_3(t)=p_1(t)+p_2(t)[/tex]

[tex]Span\{p_1,p_2,p_3\}=Span\{p_1,p_2\}[/tex]

[tex]p_1$ and p_2[/tex] are linearly independent because [tex]p_1[/tex] cannot be written in terms of [tex]p_2[/tex].

Therefore, [tex]\{p_1,p_2\}$ is a basis of Span\{p_1,p_2,p_3\}$ as required.[/tex]

A linear dependence relation among the polynomials p₁, p₂, and p₃ is given as p₁ + p₂ = p₃

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Consider the polynomials are

[tex]\rm p_1(t) = 1 + t\\\\ p_2(t) = 1 -t \\\\ p_3(t) = 2[/tex]

a linear dependence relation among p₁, p₂, and p₃ will be

Let add the  p₁ and p₂, we have

1 + t + 1 -t = 2

We get the polynomial p₃.

Thus the linear relation is p₁ + p₂ = p₃

More about the polynomial link is given below.

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Answer:

[tex]y-6=2\,(x-4)[/tex]

or in slope y-intercept form :

[tex]y=2x-2[/tex]

Step-by-step explanation:

The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point   [tex](x_0,y_0)[/tex]  it goes through:

[tex]y-y_0=m\,(x-x_0)[/tex]

In our case the equation becomes:

[tex]y-y_0=m\,(x-x_0)\\y-6=2\,(x-4)\\[/tex]

This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:

[tex]y-6=2\,(x-4)\\y=2x-8+6\\y=2x-2[/tex]

Answer:

The amount remaining after 24 hours is 17.5 milligrams.

Step-by-step explanation:

The rate of decay is proportional to the amount of the substance present at a time

The equation is

Rate=k*amount remaining at(time)

Where k = constant of proportionality.

So we don't know the value of k, let's find it.

7= k(70)(6)

K= 1/60

Amount remaining after 24 hours

7= 1/60 * x* (24)

(60*7)/24= x

17.5 = x

The amount remaining after 24 hours is 17.5 milligrams.

Answer:

sum of the series = 7182  

Step-by-step explanation:

This is an arithmetic series. The first term is known as 586 and the last term is known as 212. We are ask to find the sum of the series. The common difference of this sequence is -22 . The difference between the next term  and the previous term is -22. Let us find the number of terms.

common difference = 564 - 586 = -22

number of terms = n

nth term = a + (n - 1)d

212 = 586 + (n - 1)-22

212 = 586 - 22n + 22

212 - 586 - 22 = -22n

-396 = -22n

divide both sides by -22

n = -396/-22

n = 18

Using the formula for sum

sum of nth term = n/2(a + l)

where

l = last term

a = first term

n = number of term

sum of nth term = n/2(a + l)

sum of nth term = 18/2(586 + 212)

sum of nth term = 9(798 )

sum of the series = 7182  

Answer:

(0,0)

Step-by-step explanation:

The Graph shows that 0,0 is the first x-y value which is vertex

Answer:c

Step-by-step explanation:

The required probability of choosing the matching pair of socks is approximately 0.0222 or 2.22%.

To find the probability of choosing the matching pair of socks, we need to consider the total number of possible outcomes and the number of favorable outcomes.

In this case, there are 10 individual socks in the drawer, and only one matching pair. When you randomly pick 2 socks, there are C(10, 2) = 45 possible outcomes, as you are choosing 2 socks out of 10.

The favorable outcome is when you choose the matching pair, which can occur in only one way.

Therefore, the probability of choosing the matching pair of socks is:

P(matching pair) = favorable outcomes / total outcomes
                           = 1 / 45 ≈ 0.0222

So, the probability of choosing the matching pair of socks is approximately 0.0222 or 2.22%.

Learn more about probability here:

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Answer:

0.80 + 0.65 = 1.45

Step-by-step explanation:

apple: 0.80

orange: 0.65

Answer:

7.4736

Step-by-step explanation:

A = 144% of 5.19 means: A = (144/100) x 5.19 =  7.4736

Hope this helps!

Answer:

Hi there!

The distance L between two points (x1, y1) and (x2, y2) in two-dimensional plane could be calculated by:

L = sqrt((y2 - y1)^2 + (x2 - x1)^2)

The distance between two points (-5, 4) and (3, -2) can therefore be calculated by:

L = sqrt( (-2 - 4)^2 + (3 - -5)^2) = sqrt( 6^2 + 8^2) = sqrt(36 + 64) = sqrt(100 ) = 10

=> Option C is correct.

Hope this helps!

:)

Answer:

add all angles

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

  B.  $257.33

Step-by-step explanation:

Interest will be charged on the New Balance after the Month 7 payment, $257.33.

Answer:

  yes

Step-by-step explanation:

One such function is ...

  f(x) = 0

No matter what the value of x is, the value of y is 0. The graph of it is a horizontal line.

Answer:

75

Step-by-step explanation:

Given:

f(1) = 100

f(n+1) = f(n) - 5

Solve for:

f(6)

Solution:

f(1) = 100

f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5

f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1)  - 2 x 5

...

f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5

=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75

Hope this helps!