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3 years ago

Please answer correctly! :)

Mathematics

1 answer:

nadya68 [22]3 years ago

7 0

Answer:

The relationship is proportional because it passes through the origin.

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Several students at a university were surveyed about how they

Anarel [89]

Okay so the answer would be

4 0

3 years ago

Read 2 more answers

The sum of an arithmeit cprogression consisting of 20 positive integer terms with positive common difference is equal to 2020. (

Rufina [12.5K]

Answer:

a) possible progressions are 5

b) the smallest and largest possible values of the first term are 16 and 82

Step-by-step explanation:

Sum of terms:

Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)
S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)
2020 = 10(2a₁ + 19d)
202 = 2a₁ + 19d

In order a₁ to be an integer, d must be even number, so d = 2k

202 = 2a₁ + 38k
101 = a₁ + 19k

Possible values of k= 1,2,3,4,5

k = 1 ⇒ a₁ = 101 - 19 = 82
k = 2 ⇒ a₁ = 101 - 38 = 63
k = 3 ⇒ a₁ = 101 - 57 = 44
k = 4 ⇒ a₁ = 101 - 76 = 25
k = 5 ⇒ a₁ = 101 - 95 = 16

As per above,

a) possible progressions are 5
b) the smallest and largest possible values of the first term are 16 and 82

6 0

3 years ago

Using the scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/1

professor190 [17]

Given:

The ratio is $\dfrac{3}{1}$ .

To find:

Inverse tangent of the given ratio.

Solution:

We know that,

Inverse tangent of the ratio $\dfrac{3}{1}$ = $\tan^{-1}\dfrac{3}{1}$

= $\tan^{-1}3$

Using scientific or graphing calculator, we get

Inverse tangent of the ratio $\dfrac{3}{1}$ = $71.565^\circ$

Round to the nearest degree

Inverse tangent of the ratio $\dfrac{3}{1}\approx 72^\circ$

Therefore, the correct option is C.

3 0

3 years ago

0.45? How much do this equal

White raven [17]

Answer:

.45

$0.45

45%

45/100

Step-by-step explanation:

8 0

4 years ago

Which form most quickly reveals the vertex?

Jet001 [13]

Answer:

Step-by-step explanation:

A will give you the roots (the x intercepts) just by reading the numbers and doing a small adjustment.

x + 1 = 0

x = - 1 So one of the roots is (-1,0)

x + 5= 0

x = - 5 The other root is (-5,0)

A is not the answer.

I have graphed B so that you can see that A is true. See below, Even so, B is in standard form and it is not the answer.

The answer is C. The vertex is at 2,27

x - 2 = 0

x = 2

The maximum value is located at 27 which is just read.

That point (2,27) is plotted on the graph.

6 0

3 years ago