All categories

2 years ago

1. The 4th, 5th, and 6th terms of an arithmetic sequence are 19, 23, and 27 respectively. What is the first

Mathematics

1 answer:

babymother [125]2 years ago

8 0

Answer: 7

Step-by-step explanation: The only pattern in this sequence that I can see is addition by 4. Therefore, the 3rd term is 15, the 2nd is 11, the 1st is 7.

Please consider Brainliest.

You might be interested in

How many pop-cones would you have to buy to equal the volume of an extra large tub?

SOVA2 [1]

Answer:

around 15

Step-by-step explanation:

if you divide the volume of the big 10 dollar cylinder popcorn by the volume of the 0.99 cone popcorn which is 785/ 52.36 its 14.9923605806

4 0

3 years ago

Leo sold candy bars for a fundraiser. He spent $25 on a box of candy bars and sold them for $2 each. His profit (after earning b

kykrilka [37]

As given by the question

There are given that the $2c-$25=$69.

Now,

$\begin{gathered} $2c-$25=$69$ \\ $2c-$25+25=$69$+25 \\ 2c=$69$+25 \\ 2c=94 \\ c=\frac{94}{2} \\ c=47\text{ bars} \end{gathered}$

Hence, the correct answer is C.

4 0

1 year ago

A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It t

solniwko [45]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

The linear equation of the function is: $g(P) = 22.9P+7$ .
The inverse function is: $g^{-1}(c) = \frac{1}{22.9}(c - 7)$ .
A practical domain is from 0% to 100%
A practical range is from 7 to 29.9

A. Input quantity

The input quantity is the percentage of frozen citrus crop

B. Output quantity

The output quantity is the cost of box of oranges

C. The linear function

We have:

$(P_1,c_1) = (20\%,11.58)\\(P_2,c_2) = (80\%,25.32)$

Calculate the slope of the function

$m = \frac{c_2 - c_1}{P_2 - P_1}$

$m = \frac{25.32 - 11.58}{80\%-20\%}$

$m = \frac{13.74}{60\%}$

$m = 22.9$

The linear equation is calculated as follows:

$c -c_1 = m(P-P_1)$

$c -11.58= 22.9(P-20\%)$

$c-11.58 = 22.9P-4.58$

D. Rewrite as y = mx + b

We have:

$c-11.58 = 22.9P-4.58$

Collect like terms

$c = 22.9P - 4.58 + 11.58$

$c = 22.9P+7$

The function is:

$g(P) = 22.9P+7$

E. A practical domain

The domain is the possible values of P. Because P is a percentage, its possible values are 0% to 100%.

The domain of the function is: $[0\%,100\%]$

F. A practical range

When P = 0%

$c = 22.9 \times 0\% + 7 = 7$

When P = 100%

$c = 22.9 \times 100\% + 7 = 29.9$

Hence, the range of the function is: $[7,29.9]$

G. The meaning of $g^{-1}(12)$

The inverse function of g(P) is $g^{-1}(P)$

So:

$g^{-1}(12)$ is the percentage of frozen citrus crop, when the cost is $12.

H. The inverse formula

We have:

$c = 22.9P+7$

Subtract 7 from both sides

$c - 7 = 22.9P$

Make P the subject

$P = \frac{1}{22.9}(c - 7)$

So, the inverse formula is:

$g^{-1}(c) = \frac{1}{22.9}(c - 7)$

Substitute 12 for c

$g^{-1}(12) = \frac{1}{22.9}(12 - 7)$

$g^{-1}(12) = \frac{1}{22.9} \times 5$

$g^{-1}(12) = 22\%$

Read more about linear equations at:

brainly.com/question/19770987

6 0

3 years ago

I’m stumped, can anyone please help me understand this

rodikova [14]

Answer:

B. Store T sells apples at the lowest rate

Step-by-step explanation:

Store R sells apples at $1.20 per pound.

Store S sells 4 pounds of apples at $5.00.

Store T sells 3 pounds of apples at $3.48.

To find the answer, you have to find the unit price for both Store S and Store T.

For Store S: 4 pounds = $5. Divide the cost by the pounds. This will give us $1.25 per pound.

For Store T: 3 pounds = $3.48. Same thing as Store S, divide the cost by the number of pounds. This will give us 1.16 per pound.

Now, we know the unit prices for each store. It's time to answer the question.

A. Store R sells apples at the lowest rate.

This is incorrect because the store that sells the apples at the lowest rate is Store T.

B. Store T sells the apples at the lowest rate.

This answer is correct, but I'll also take a look at the other two

C. Store S charges a lower rate for apples than Store T.

Again, this is incorrect because Store T sells apples at the lowest rate.

D. Store T charges the same rate for apples as Store R.

Nope, Store T sells the apples at a lower rate than Store R.

This means your answer will be B. Store T sells apples at the lowest rate.

<h2>I hope this helped you understand the question!</h2>

6 0

4 years ago

If the scale factor between two circles is 7a/9b what is the ratio of their areas?

RideAnS [48]

. 49a2/81b2
I think the answer is B)

5 0

3 years ago

Read 2 more answers