Easton earned a grade of 75% on his multiple choice science final that had a total of

What is the product (2t+1) (t-4)

____ [38]

Answer:

Step-by-step explanation:

(2t+1)(t-4)

= 2t^2 - 8t + t - 4

= 27^2 - 7t - 4

3 0

2 years ago

Susan is going to watch a movie in her collection she has 5 action movies 4comedies and 3 dramas she will randomly select one mo

Ivenika [448]

Answer:

9/12 or 75%.

Step-by-step explanation:

Let's first add the choices all up.

5+4+3= 12.

We have 12 movie choices in total.

Now, we know that we have 3 drama movie choices...so the chance we will choose drama is 3/12, but we are not finding that. We want the chance she will NOT choose drama, so that would be 9/12.

*Since the chance she will choose drama is 3/12, the chance she will not choose is 9/12. 9+3 is 12, the total amout.*

6 0

2 years ago

Match each series with the equivalent series written in sigma notation

PIT_PIT [208]

Answer:

$3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n$

$4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n$

$2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n$

$3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n$

Step-by-step explanation:

Given

See attachment for complete question

Required

Match equivalent expressions

Solving (a):

$3 + 12 + 48 + 192 + 768$

The expression can be written as:

$3 \to 3*4^{0$ --- 0

$12 \to 3 * 4^{1$ ---- 1

$48 \to 3 * 4^{2$ --- 2

$192 \to 3 * 4^{3$ ---- 3

$768 \to 3 * 4^{4$ ---- 4

For the nth term, the expression is:

$Term = 3 * 4^{n$ ---- n

So, the summation is:

$3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n$

Solving (b):

$4 + 32 + 256 + 2048 + 16384$

The expression can be written as:

$4 \to 4 * 8^0$ --- 0

$32 \to 4 * 8^1$ ---- 1

$256 \to 4 * 8^2$ --- 2

$2048 \to 4 * 8^3$ ---- 3

$16384 \to 4 * 8^4$ ---- 4

For the nth term, the expression is:

$Term \to 4 * 8^n$ ---- n

So, the summation is:

$4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n$

Solving (c):

$2 + 6 + 18 + 54 + 162$

The expression can be written as:

$2 \to 2 * 3^0$ --- 0

$6 \to 2 * 3^1$ ---- 1

$18 \to 2 * 3^2$ --- 2

$54 \to 2 * 3^3$ ---- 3

$162 \to 2 * 3^4$ ---- 4

For the nth term, the expression is:

$Term \to 2 * 3^n$ ---- n

So, the summation is:

$2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n$

Solving (d):

$3 + 15 + 75 + 375 + 1875$

The expression can be written as:

$3 \to 3 * 5^0$ --- 0

$15 \to 3 * 5^1$ ---- 1

$75 \to 3 * 5^2$ --- 2

$375 \to 3 * 5^3$ ---- 3

$1875 \to 3 * 5^4$ ---- 4

For the nth term, the expression is:

$Term \to 3 * 5^n$ ---- n

So, the summation is:

$3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n$

5 0

2 years ago

The number of Apple cakes is 4/5 of the number of strawberry cakes. There are 24 strawberry cakes more than apple pies. What per

serious [3.7K]

--------------------------------------------------------------------
Ratio Given
--------------------------------------------------------------------
Apple : Strawberry
4 : 5

--------------------------------------------------------------------
Find difference in parts
--------------------------------------------------------------------
5 - 4 = 1

--------------------------------------------------------------------
Find Number of strawberry cakes
--------------------------------------------------------------------
1 part = 24 cakes
5 parts = 24 x 5 = 120

--------------------------------------------------------------------
Find number of apple cakes
--------------------------------------------------------------------
1 part = 24 cakes
4 parts = 24 x 4 = 96

--------------------------------------------------------------------
Total number of cakes
--------------------------------------------------------------------
120 + 96 + 144 = 360

--------------------------------------------------------------------
Percentage of cranberry cakes
--------------------------------------------------------------------
144/360 x 100 = 40%

--------------------------------------------------------------------
Answer: 40% of the cakes are cranberry cakes
--------------------------------------------------------------------

5 0

3 years ago

6. If you spun the spinner below, what are the odds that you will spin an

denis23 [38]

If you mean that is a 4 digit number then here is your answer.

Answer:

1:1

Step-by-step explanation:

So there is 1000 to 9999. That includes 9999-999= 9000 numbers. Since each number it is either a odd number or an even number, we can say that it is 1:1 There would be 4500 odd and 4500 even numbers. Every even number is followed by an odd number. for example: 1000-1001 1002-1003 1004-1005

so on so you would get to the point that you get to 9998-9999

Hope it helped you!

8 0

2 years ago