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xeze [42]
3 years ago
12

The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents

the year. Which is the best prediction for the number of new cases in year 15? A. 194 B. 96 C. 328 D. 614
Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

Since x represents the year, year 15 will be 15 years.

Plug in "15" as your "x"

y = -2(15)^2 + 36(15) + 6

15^2 = 225 (Exponents come before multiplication)

y = -2(225) + 36(15) + 6

y = -450 + 540 + 6

y = 90 + 6

y = 96

<em>The answer is B</em>

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Drag a vertex of the triangle to change its shape.
likoan [24]

Answer:

The correct option is;

45°

Step-by-step explanation:

By angle sum theorem, we have that the sum of angles in a triangle = 180°

Therefore, we have;

When the interior angles of the triangle are constructed to be 60° and 75°, we have by the angle sum theorem;

The third angle + 60° + 75° = 180°

Which gives;

The third angle  = 180°- 60° - 75° = 180°- 135° = 45°

The measurement of the third angle by the angle sum theorem will be 45°

The correct option is ∠third angle = 45°.

8 0
3 years ago
The two triangles shown below are simiar. Which statement is true of the transformation from ABC to A' B' C'
AfilCa [17]

Answer: Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .

Step-by-step explanation:

Since the triangles are similar, the ratio of their sides are equal.

And we can count the number of blocks over which AC and A'C' is drawn and take them to be their length,

Therefore,

AC = 16

A'C'= 8

Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .

Measuring the tans of the angles by taking the ratio of opposite by adjacent, we get,

tanA = \frac{10}{4}

tanA'=\frac{5}{2}

which means tanA= tanA'

The angles do not change.

Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .

8 0
3 years ago
A blank CD can hold 70 minutes of music. So far you have burned 25 minutes of music onto the CD. You estimate that each song las
zaharov [31]

Answer:

The possible numbers of songs that you can burn onto the CD is 11.

Step-by-step explanation:

The total storage capacity of CD =  70 minutes

Storage already used = 25 minutes

Hence, The available storage =  Total available  storage -  Used Storage

= 70 minutes - 25  minutes = 45 minutes

Hence, the CD has 45 minutes storage left.

Now, each song takes up 4 minutes of storage.

⇒ \textrm{Total number of songs possible} =  \frac{\textrm{Total storage left}}{\textrm{Time taken by each song}}

= \frac{45 minutes}{4minutes }  = 11.25

⇒The number of songs possible = 11.25 ≈  11

Hence, the possible numbers of songs that you can burn onto the CD is 11.

4 0
3 years ago
Jake is building a fence around his property. He wants the perimeter to be no more than 100 feet. He also wants the length to be
emmasim [6.3K]

Answer:

C. 20 feet

Step-by-step explanation:

Let x = width

Let y = length

If the length is at least 10 feet longer than the width:

⇒ x + 10 ≤ y

⇒ x ≤ y - 10

If the perimeter is to be no more than 100 ft:

⇒ 2x + 2y ≤ 100

⇒ x + y ≤ 50

⇒ x ≤ 50 - y

Equate the equations for x and solve for y:

⇒ y - 10 = 50 - y

⇒ 2y = 60

⇒ y = 30

Substitute found value of y into one of the inequalities for x:

⇒ x ≤ 30 - 10

⇒ x ≤ 20

Therefore, the maximum possible width of the fence is 20 feet.

8 0
2 years ago
Can you help me Figure out what x is asap
prohojiy [21]

Answer:

x= -11/10

Step-by-step explanation:

-6.75 + 21/4 - 3.25 - -11/10= -3.65

8 0
2 years ago
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