what is the value of a in simplest form?

Answer:

see below

Step-by-step explanation:

Since the initial value is 5 and it increases by 3 every time x goes up the equation is y = 5 * 3^x.

Answer:

Option B. Pentagonal prism

Step-by-step explanation:

Option (A). Cube

Base of a cube is a square.

Option (B). Pentagonal prism

A prism is always defined by its base.

Example: triangular prism, rectangular prism

Therefore, pentagonal prism will have a base in the shape of a pentagon.

Option (C). Triangular prism

Triangular prism will have a triangular base.

Option (D). Rectangular prism

Rectangular prism will have a rectangular base.

Answer: 8 miles per hour

Step-by-step explanation:

Speed = distance / time

When diatance is 60 miles

Speed = 60 / 1.5 = 40 miles per hour

When distance is 20% more (72 miles)

Speed = 72 / 1.5 = 48 mph

Answer:

B.

An investment account has the potential to earn more money than a savings account.

Answer:

B. An investment account has the potential to earn more money than a savings account.

Step-by-step explanation:

Neither saving nor investing is better than the other, choosing depends on your present financial position.

Answer:

E. CI = 102.79

Answer:

Step-by-step explanation:

Answer: Gym problem (fourth option)

Step-by-step explanation:

Hi, to answer this question we have to analyze the options given.

For the first option the equation is:

384+2x=6x

Because the problem asks for a solution where both costs are equal.

For the second option the equation is :

384+2x = 6x

Because the problem asks for a solution where both amounts are equal.

For the third option the inequality is:

384+2x>6x

Because the problem asks for a solution where the first cost is more expensive than the second cost.

For the fourth option (gym problem) the inequality is:

384+2x< 6x

Because the problem asks for a solution where the second cost (super gym) is more expensive than the first cost (mega gym).

This option is the correct one.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If the lengths of a and b are equal, the degrees of the angles should also be equal.

Answer:

Figure 1

The coordination of D is (a,0) and E is (b,c)

figure 2

The coordination of D is (0,b) and E is (a,0)

Answer:

Completing includes a change for the extra term has to be subtracted

Where completing the square to an equation will always result in finding what equals zero.

Answer:

D. 20 different sandwiches

Step-by-step explanation:

5 meats

4 cheeses

5 x 4 = 20

Answer:

its D

Step-by-step explanation:

i did the test on edgeuenity or however u spell it

Here A is the answer because it has more terms i guess

Answer:

Radius x radius x 3.14 / 2 = area of semicircle

5 x 5 x 3.14 = 78.5

don't divide because there is two semicircle

22-10=12

12 x 10 = 120

120 + 78.5 = 198.5 cm squared

Step-by-step explanation:

===================================================

Explanation:

Choice A is a non-answer because 3-4-5 does represent a right triangle. We can see so from the Pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = 5^2

9+16 = 25

25 = 25

We get a true equation, so (a,b,c) = (3,4,5) is a solution to a^2+b^2 = c^2

This confirms a 3-4-5 triangle is a right triangle.

------

The same steps can be used to show 6-8-10 is also a right triangle (note how each value has been doubled compared to 3-4-5). We can cross choice B off the list.

We can also see that choice D is a non-answer as well.

------

Choice C is the only thing left. The proper Pythagorean triple is actually 8-15-17.

Let's see what happens when a = 8, b = 14, c = 17

a^2+b^2 = c^2

8^2+14^2 = 17^2

64+196 = 289

260 = 289 .... false equation

We get a false equation, so a = 8, b = 14, c = 17 does not form a right triangle.

Answer:

Please mark me brainliest and I hope this helps!

Answer: 52

Step-by-step explanation:

The length of the path is shown by the lines that trace the outside of the shape. The lines are equal to: 13 + 13 + 9 + 3 + 4 + 10

That is equal to 26 + 9 + 7 + 10.

Which is equal to 35 + 17.

And our final answer is 52.

The total number of books that we had in out bookcase when we were 11 years old was 2,187 books.

Suppose the initial term of a geometric sequence is [tex]a[/tex]

and the term by which we multiply the previous term to get the next term is [tex]r[/tex]

Then the sequence would look like

[tex]a, ar, ar^2, ar^3, \cdots[/tex]

(till the terms to which it is defined)

Thus, the nth term of such sequence would be

[tex]T_n = ar^{n-1}[/tex] (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).

Lets suppose its initial term is  [tex]a[/tex] , multiplication factor is  [tex]r[/tex]

and let it has total n terms, then, its sum is given as:

[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]

(sum till nth term)

For this case the initial number of books (2) is multiplied by 3 each year.

So we got:

a = 2,

r = 3

Since a = 2 was for age 5, and  if we take age 5 at 1st position, then age 11 is at the 7th position.

The number of books we read at each age is a geometric sequence with initial term 2 and multiplication factor 3.

The sum of its term(which would make it geometric series) will give the total number of books we will have.

Since age 11 is at 7th position, so n = 7

Thus, the total number of books we had in the bookcase when we were 11 years old is:

[tex]S_n = \dfrac{a(r^n-1)}{r-1}\\\\S_7 = \dfrac{2((3)^7-1)}{3-1} = 2187[/tex]

We could've derived it without formula as:

Their sum is 2187.

Thus, the number of books that we had in out bookcase when we were 11 years old was 2187 books.

Learn more about sum of terms of geometric sequence here:

brainly.com/question/1607203

______________________________

Hey!!

Base=15cm

height=5 cm

Area of parallelogram=b*h

=15*5

=75 cm^2

Hope this helps..

__________________________

Answer:

B

Step-by-step explanation:

You can use an equation from physics to help with this.

[tex]v_f=v_o+at[/tex]

Since the initial velocity is 0, you can set up the following equation:

[tex]v_f=0+(10)(5)\\\\v_f=50\neq 100[/tex]

Hope this helps!

Answer:

The found values are:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

(See the diagram attached)

As JKL is a straight horizontal line, angle measure from JK to KL is 180°.

We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.

Which means that the sum of <JKM and <MKL is equals to 180°.

Mathematically, it can be written as:

[tex]<JKM+<MKL=180^\circ\\\\[/tex]

Substitute the values of both angle to solve the equation:

[tex](10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10[/tex]

Put in the formulas of both angle to find their values:

<JKM = 10y + 6

<JKM = 10(10)+6

<JKM = 106°

<MKL = 8y - 6

<MKL = 8(10)-6

<MKL = 74°

Answer:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

Answer:

Step-by-step explanation:

A linear equation in "standard form" looks like Ax + By + C = 0,  or

Ax + By = D

x + y = -1 :  is in standard form:  A = 1, B = 1 and D = -1

-3.x = y :  NOT in standard form

x + 4y = 0   is in standard form

y = 5x - 2   NOT in standard form

x = 3 -0.17   NOT

8x – 3y = 20  is in standard form

Answer:

A. x + y = -1

C. x +4y = 0

F. 8x - 3y = 20

Step-by-step explanation:

Edge 2023

Answer:

x   5  2  -1  -7  -10   1    -19

y   10 4  8   6  20  24  32

Step-by-step explanation:

Hope this helps!

This is for the x section   5  2  -1  -7  -10   1    -19

This is for the y section   10 4  8   6  20  24  32

Correct me if i'm wrong

Answer:

D 5

Step-by-step explanation:

1st outcome: 2

2nd outcome:4

3rd outcome:6

4th outcome:8

5th outcome:10

Answer:

5

Step-by-step explanation:

mark me brainliest :)

Answer: 9

Step-by-step explanation: Here, we have the expression 4x - 7 and we want to evaluate the expression when x is equal to 4.

To evaluate an expression, we simply plug the value

of the variable into the expression and solve.

So here, since x is equal to 4, we have 4(4) - 7.

4(4) is equal to 16.

So we have 16 - 7 which is equal to 9.

So the value of our expression when x is equal to 4 is 9.

Answer:

9

Step-by-step explanation:

4x - 7 ( x=4)

4 × 4 - 7

16 - 7

9

Answer:

45 + ( 7.50*x)

Step-by-step explanation:

Answer:

I believe the answer is: [tex]f(x)=45+7.50x[/tex]

Step-by-step explanation:

45 because you start with it costing that much and then the 7.50x because each child costs 7.50 and you don't know how many there will be.

Answer:

7

Step-by-step explanation:

The nth term is supposed to help us find the value of any number in the sequence. All we have to do is substitute n for 7, in this case

So, this is the general term.

= 28 - 3n

Now, to find the 7th term, we simply replace "n" with "7"

= 28 - 3(7)

Since "n" was being multiplied with 3, 7 is also going to be multiplied with 3.

= 23 - 21

= 2

Answer:

5%

Step-by-step explanation:

To find this percent, first divide 1 by 20.

1/20 = 0.05

Now, convert this decimal to a fraction by moving the decimal point 2 places to the right.

0.05 = 5%

Hope this helps! Feel free to ask me any questions :)

Answer:

5%

Step-by-step explanation:

1/20 = 5/100

5/100 equals 5%