Someone help please ASAP.In∆ABC, m
a) How are the measures of m
b) Solve for x:

Answers

Answer 1

Answer: $3x+9+8x+11+5x-8=180\n16x=168\nx=10.5\n\nm\angle BAC=3\cdot10.5+9=40.5\nm\angle ABC=8\cdot10.5+11=95\nm\angle BCA=5\cdot10.5-8=44.5\n\n$

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A hypothesis must be testable and falsifiable to be scientifically valid. Being testable and falsifiable means that __________.

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Final answer:

A scientifically valid hypothesis must be testable and falsifiable. Testable means that it can be evaluated through observations or experimentation. Falsifiable means that it's possible to design an experiment whose results would prove the hypothesis to be incorrect.

Explanation:

Within the scientific community, a hypothesis is considered to be scientifically valid only if it is testable and falsifiable. When we say a hypothesis is testable, it means that it can be evaluated through observations or experimentation, using the scientific method. An example of this could be the hypothesis 'If I water my plants more, they will grow faster.' This hypothesis is testable because we can carry out an experiment to confirm or refute it.

On the other hand, a hypothesis is said to be falsifiable if it is possible to design an experiment whose outcome could prove the hypothesis to be incorrect. For example, the hypothesis 'All swans are white' is falsifiable because finding just a single swan of a different color would falsify the hypothesis. However, it's important to note that falsifiable doesn't mean the hypothesis is incorrect, rather it means that it's possible to prove it's incorrect through testing.

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Final answer:

A hypothesis must be testable and falsifiable in order to be considered scientifically valid. This means that it can be tested through experimentation or observation, and can be proven false if the experimental results contradict it.

Explanation:

A hypothesis must be testable and falsifiable to be scientifically valid. Being testable and falsifiable means that it can be tested through experimentation or observation and can be proven false if the experimental results contradict it. Testability and falsifiability are key requirements in scientific research as they allow for the advancement of knowledge and the development of more accurate explanations of natural phenomena.

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Molly is on a game show. To win $1,000,000, she must answer this question: What key features are necessary—and how are the features used—to create the sketch of a polynomial function? What is Molly's winning answer? Explain in complete sentences.

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A polynomial function refers to a function expressed by a polynomial, with only positive integer (non-fraction, non roots) values for the exponents, such as:

$(a_(1))^(n) + (a_(2))^(n-1) + (a_(3))^(n-2) +...+ a_(n)$

Remember that $(1)/(x)$ can be written as ,

If y varies directly with x. If x = 2, then y = 24. What is the value of x when y = 96? x =

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Answer:

Step-by-step explanation:

For a client, a landscaper purchases 3 oak trees and 4 maple trees for $380. For his own home, the landscaper purchases 2 oak trees and 5 maple trees for $370. Which augmented matrix represents the situation?

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You don't have any choices here, but it's easy to determine what your matrix would look like by first writing the equations. Oak trees is x and maple trees is y. The first of our equations then is 3x + 4y = 380 and the second is 2x + 5y = 370. In matrix form, that would be $\left[\begin{array}{ccc}3&4\n2&5\end{array}\right]= \left[\begin{array}{ccc}380\n370\n\end{array}\right]$

The augmented matrix represents the situation that will be, $\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]$ .

What is an augmented matrix?

The columns of two matrices are combined to create a new matrix known as an augmented matrix.

When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.

Let us consider x is the oak tree and y is the maple tree then;

⇒3 oak trees and 4 maple trees for $380;

⇒3x+4y = 370

⇒Purchases 2 oak trees and 5 maple trees for $370;

⇒2x+5y=370

The two equations are expressed in the matrixas;

$\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]$

Hence, the augmented matrix represents the situation that will be, $\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]$ .

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A blouse require 1 ¼ m of cloth, how many blouses can be made from 21 m of clothA. 12
B. 14
C. 16
D. 18

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Answer:

C. 16

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An airplane left atl with 52 empty seats. If the air plane was 75% full, what was the total number of seats

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$x-total\ number\ of\ seats\nx-52-occupied\ seats\n75\%=0.75\n100\%=1\n\nFrom\ proportion:\n\nx-52\ \ \ -\ \ \ 0.75\nx\ \ \ \ \ \ \ \ \ \ -\ \ \ 1\n\nx-52=0.75x\nx-0.75x=52\n0.25x=52\ \ \ \ |\cdot4\nx=208\n\nTotal\ number\ of\ seats\ was\ 208.$