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1 year ago

Please help!!!! For the exponential function...

Mathematics

1 answer:

Anarel [89]1 year ago

4 0

Answer: b.) 40

Given that:

f(x) = 5 × 2ˣ

To find f(3), simplify insert [x = 3] in the given equation:

f(3) = 5 × 2³

f(3) = 5 × 2 × 2 × 2

f(3) = 40

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What theorems can be used to prove the triangles are congruent?<br>SSS<br>ASA<br>AAS<br>HL

Arada [10]

Answer:

1.) SAS | 2.) HL | 3.) HL | 4.) SSS (Not too sure about this one)

Step-by-step explanation:

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3 years ago

How many acute/obtuse/right angles does a pentagon have

Naily [24]

It has 5 obtuse angles.

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2 years ago

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It is believed that 3% of people actually have this predisposition. The genetic test is 99% accurate if a person actually has th

fiasKO [112]

Answer:

Required Probability = 0.605

Step-by-step explanation:

Let Probability of people actually having predisposition, P(PD) = 0.03

Probability of people not having predisposition, P(PD') = 1 - 0.03 = 0.97

Let PR = event that result are positive

Probability that the test is positive when a person actually has the predisposition, P(PR/PD) = 0.99

Probability that the test is positive when a person actually does not have the predisposition, P(PR/PD') = 1 - 0.98 = 0.02

So, probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/PR)

Using Bayes' Theorem to calculate above probability;

P(PD/PR) = $\frac{P(PD)*P(PR/PD)}{P(PD)*P(PR/PD)+P(PD')*P(PR/PD')}$

= $\frac{0.03*0.99}{0.03*0.99+0.97*0.02}$ = $\frac{0.0297}{0.0491}$ = 0.605 .

7 0

2 years ago

Your friend claims that if you dilate a rectangle by a scale factor of three, then the area of your new rectangle

Ber [7]

Answer:

No, the area of the dilated triangle will increase by a factor of 9

Step-by-step explanation:

When the scale factor by which the dimensions is dilated = 3, we have;

The original length of base = b

The base length of the dilated triangle = 3×b

The original height of the the triangle = h

The height of the dilated triangle = 3×h

The original area of the triangle = 1/2 × base × height = 1/2×b×h

The area of the dilated triangle = 1/2 × base of dilated triangle × height of dilated triangle

∴ The area of the dilated triangle = 1/2× 3 × b × 3× h = 9×1/2× b×h

Which gives;

The area of the dilated triangle = 3²×1/2× b×h= (Scale factor)²× The original area of the triangle.

From 3² = 9, we have;

The area of the dilated triangle = 9 × The original area of the triangle.

Therefore;

The area of the dilated triangle will increase by a factor of 9.

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3 years ago

Carol ate 2/5 of the cake; Dima ate 3/8 of the remaining cake, mom ate the rest.

Agata [3.3K]

Answer:

9/40

Step-by-step explanation:

If Carol at 2/5 of the cake, 3/5 of the cake is left. 3/8 of 3/5 is equal to $\frac{3}{8}*\frac{3}{5} =\frac{9}{40}$

5 0

2 years ago