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suter [353]
2 years ago
9

The diagram represents the factorization of a2+8a+12. A 2-column table with 2 rows. First column is labeled a with entries a squ

ared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12. What is the missing number that will complete the factorization? 6 8 12 24
Mathematics
2 answers:
Lapatulllka [165]2 years ago
3 0

Answer:

(A)6

Step-by-step explanation:

Given the quadratic expression: a^2+8a+12

We factorize:

a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)

Therefore, the missing number that will complete the factorization is 6.

kakasveta [241]2 years ago
3 0

Answer:

A

Step-by-step explanation:

e2020

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The table below shows the lengths and weights of six dolphins at an aquarium. Use the data from Pax and Snowflake to
Drupady [299]

Answer:

<u>The dolphin's weight that differs most from the value predicted by this model is JoJo's (31 lb of difference)</u>

Step-by-step explanation:

Name                 Length (ft)           Weight (lb)

Snowflake             8.2                        549

Shadow                7.4                         501

Corky                    8.4                         557

Pax                        7.6                         519

JoJo                      5.8                         460

Blaze                    6.8                         488

Use the data from Pax and Snowflake to  create a linear model that predicts the weight (y) of a dolphin given its length (X). Which dolphin's weight differs most from the value predicted by this model?

Let's elaborate the model this way:

Snowflake's length - Pax's length = 8.2 - 7.6 = 0.6 ft

Snowflake's weight - Pax's weight = 549 - 519 = 30 lb

Ratio = 30/0.6 = 50 lb/ft

This means that for every foot of length, the dolphin has a variable weight of 50 lb. However, if we multiply the ratio by the actual length of the two dolphins, we will have these results:

Snowflake = 50 * 8.2 = 410

Pax = 50 * 7.6 = 380

What is the common difference in both cases?

Snowflake = Actual weight - Ratio * Length = 549 - 410 = 139

Pax = Actual weight - Ratio * Length = 519 - 380 = 139

The common difference is 139. Therefore, the linear model that predicts the weight (y) of a dolphin given its length (X) is:

y = 139 + 50x

Now, let's use the linear equation or model to calculate the weight of the remaining four dolphins, as follows:

Blaze  y = 139 + 50 * 6.8 = 479 ⇒ difference of 9 lb (488 - 479)

<u>JoJo   y = 139 + 50 * 5.8 = 429 ⇒ difference of 31 lb (460 - 429)</u>

Corky   y = 139 + 50 * 8.4 = 559 ⇒ difference of 2 lb  (559 - 557)

Shadow  y = 139 + 50 * 7.4 = 509 ⇒ difference of 8 lb  (509 - 501)

<u>The dolphin's weight that differs most from the value predicted by this model is JoJo's (31 lb of difference)</u>

5 0
2 years ago
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On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any
dalvyx [7]
According to the 72 rule
72/rate=time
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Another way to solve by using the main equation
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Solve for t
t=((log(2,300÷1,150)÷log(1+(0.096÷4))÷4))=7.31years

Hope it helps :-)
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2 years ago
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An observer on the ground is x meters from the base of the launch pad of a rocket, which is at the same level as the observer. A
Firlakuza [10]
This can be solved using trigonometric functions. The distance x serves as one leg of a triangle, and makes an angle q with the hypotenuse. The distance from the tip of the rocket to the ground make up the other leg of the triangle. So solving this:

tan q = y / x

Where: y = distance from the tip of the rocket to the ground

Therefore, y = x tan q

Among the choices, the correct answer is C.
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2 years ago
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What is a cows favorite type of math in polynomials
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Answer:

cowefficients

cowsant

mo<u>oo</u>nomial

Step-by-step explanation:

i'm just making some really cheesy answers here

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Answer:

It is cluster

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because it is a group of people

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