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3 years ago

Is the following double number line drawn correctly? Use complete sentences to explain your reasoning.

Mathematics

1 answer:

telo118 [61]3 years ago

8 0

Step-by-step explanation:

it is not drawn correctly

it only has to be 4 not 3

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The measures of the angles of a triangle are shown in the figure below. Solve for x.

Rus_ich [418]

Answer: <em>46º</em>

Step-by-step explanation:

The Triangle Sum Theorem states that all triangles’ angles add up to a total of 180º. Therefore, to find X, just set up an equation.

70+64+X=180

134+X=180

-134 -134

X=46

Hope this helps!

4 0

3 years ago

Suppose the market demand for a good is described by the equation P = 80 - 2Q. If a change in market supply results in price dec

liraira [26]

Calculate Q (consumer surplus) when P = 60

$60=80-2Q$ ⇒ Subtract 60 from both sides
$60-60=80-2Q-60$
$0=20-2Q$ ⇒ Add 2Q to both sides
$0+2Q = 20-2Q+2Q$
$2Q=20$ ⇒ Divide both sides by 2
$\frac{2Q}{2} = \frac{20}{2}$
$Q=10$

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Calculate Q when P = 50

$50=80-2Q$
$50-50=80-2Q-50$
$0=30-2Q{/tex] [tex]0+2Q=30-2Q+2Q$
$2Q=30$
$Q=15$

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As the value of P decreasing, the value of Q increases from 10 to 15

5 0

4 years ago

let A={1,2,3,4,5} and B={4,5,6} Let R is relation from A to B defined by R={(a,b):a+b ⊆ B} Then Find 1. R 2. Domain (R) 3. Range

PSYCHO15rus [73]

1. Disregard my comment. Since R is said to be a relation from A to B, we take both a ∈ A and b ∈ A. Then the set R is the pairs (a, b) whose entries' sum belongs to B.

We have

• 4 = 1 + 3 = 2 + 2 = 3 + 1, so R contains (1, 3), (2, 2), and (3, 1)

• 5 = 1 + 4 = 2 + 3 = 3 + 2 = 4 + 1, so R contains (1, 4), (2, 3), (3, 2), and (4, 1)

• 6 = 1 + 5 = 2 + 4 = … = 5 + 1, so R contains (1, 5), (2, 4), …, (5, 1)

Then

R = {(1, 3), (1, 4), (1, 5), (2, 2), (2, 3), (2, 4),

… (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}

2. The domain of R is the set of all values a in the pairs (a, b) belonging to R :

dom(R) = {1, 2, 3, 4, 5}

3. The range of R is the set of all values b in those same pairs:

range(R) = {1, 2, 3, 4, 5}

4. The inverse of R is the set with the same elements as R, but the entries are swapped:

inv(R) = {(3, 1), (4, 1), (5, 1), (2, 2), (3, 2), (4, 2),

… (1, 3), (3, 2), (3, 3), (1, 4), (2, 4), (1, 5)}

In this case, we have R = inv(R).

8 0

2 years ago

What is t (cos (t)) = 0?

Tpy6a [65]

In radians:
To get 0, only one part of the multiplication needs to be zero for the whole thing to be zero. Thus we get 2 equations:
t=0, and cos(t)=0
for the first equation, it's pretty self-explanatory and sp we get 0 as one solution.
For the second equation, cos(pi/2) and cos(3pi/2) both equal 0 so both pi/2 and 3pi/2 are answers. Since there is no bound to this problem, the actual answer is:
(2Z+1)pi/2 and 0
(2Z+1) means all odd integers

6 0

3 years ago

PLEASE HELP I WILL PUT BRAINLIEST!!

Lilit [14]

Answer: 6 inches.

Step-by-step explanation:

4 0

3 years ago