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3 years ago

The following sequence of numbers is an arithmetic sequence.

Mathematics

1 answer:

Georgia [21]3 years ago

8 0

The answer would be True because the sequence is constant

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How many different 4-question geometry quizzes can a teacher make if there are 7 different problems to test on?.

stich3 [128]

Answer:

35 quizzes

Step-by-step explanation:

We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.

We do this by using the formula $\displaystyle nCr=\frac{n!}{r!(n-r)!}$ which describes the number of ways we can choose $r$ objects given $n$ possible choices. So, if $n=7$ and $r=4$ , then:

$_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35$

Hence, the teacher can make 35 different geometry quizzes.

3 0

2 years ago

Select the THREE situations that could be represented by the product of two numbers equal to -20

Cerrena [4.2K]

Answer:

it might be 3 one according to me

8 0

2 years ago

List the common multiple of 42 and 14 . Help plzzzz

Alborosie

The answer is 42,84,126 and so on.(you keep on adding 42)

3 0

3 years ago

How do you find the x?

AnnyKZ [126]

There are 180 degrees total in a triangle and the tell you one angle is 90. So you solve the equation 4x+6x=90. So x=9

3 0

3 years ago

A yacht that travels 1.375 km in 165 minutes expressed in km/h

Tomtit [17]

The speed of a yacht traveling a distance of 1.357 km in 165 minutes is 0.5 km/h

<h3>What is Speed?</h3>

The speed of an object is the distance covered by the object in respect to time.

Mathematically:

$\mathbf{Speed = \dfrac{distance}{time}}$

$\mathbf{Speed = \dfrac{1.375 \ km}{165 minutes }}$

We know that 60 minutes = 1 hour
165 minutes = 2.75 hours

$\mathbf{Speed = \dfrac{1.375 \ km}{2.75 \ hours}}$

Speed = 0.5 km/hour

Learn more about calculating speed here:

brainly.com/question/4931057

8 0

2 years ago