MATHEMATICS HIGH SCHOOL

Can you help me solve this question please?

Answers

Answer 1

Answer:

Answer:

46765 D

Step-by-step explanation:

y= C x 3^t

= 1000x3^3.5

= 46765

I think!

Answer 2

Answer:

Answer:

D. 46,765.

Step-by-step explanation:

The exponential function is 1000(3)^t where t is the times in hours.

After 3.5 hours the population is 1000(3)^3.5

= 46,765.

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Answers

$AB = \sqrt{(3-6)^(2) + (3-5)^(2)} = √(13)$

equation of the circle :

(x - 3)² + (y - 3)² = 13

(1-3)² + (6-3)² = 13 ⇒ C ∈ circle
(6-3)² + (0-3)² = 18 ≠ 13 ⇒ D ∉ circle
(0-3)² + (3-3)² = 9 ≠ 13 ⇒ E ∉ circle
(3-3)² + (-1-3)² = 16 ≠ 13 ⇒ F ∉ circle
(3-3)² + (6-3)² = 9 ≠ 13 ⇒ G ∉ circle

A box has 6 beads of the same size, but all are different colors. Tania draws a bead randomly from the box, notes its color, and then puts the bead back in the box. She repeats this 3 times. What is the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again?1/216

1/36

1/6

1/2

Answers

The probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again is 1/216.

What is Probability?

The probability helps us to know the chances of an event occurring.

$\rm{Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

As it is given that the box has 6 beads of the same size, but all are different colours. therefore, the probability of any bead being selected is 1/6.

Now, we know that when Tania picks a bead she puts it back in the box, therefore, the sample size of the box will be the same and also the probability of each bead will be the same as well.

Further, the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again can be written as,

$\rm Probability = (1)/(6) * (1)/(6) * (1)/(6) = (1)/(216)$

Hence, the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again is 1/216.

Learn more about Probability:

brainly.com/question/795909

Each specific bead color has (each time) a probability $\frac{1}6$ of being drawn.

Hence the final probability is $\frac{1}6\cdot\frac{1}6\cdot\frac{1}6=\boxed{(1)/(216)}$

Use the figure below to answer the questions.a. What is the name of the 3D shape?

b. What is the formula for total surface area for this shape?

c. What is the surface area of the figure?

Answers

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_(b)+P_(b)h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_(b)+P_(b)h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_(b)=(bh)/(2)\n A_(b)=((4 cm)(3 cm))/(2)\n A_(b)=(12cm^(2) )/(2)\n A_(b)=6cm^(2)$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_(b)=4cm+3cm+5cm\n P_(b)=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^(2))+(12 cm)(11 cm)\n S=12 cm^(2)+132 cm^(2)\n S=144 cm^(2)$

Solve using substitution.
4a=3b+3
a=b-1

Answers

4(b-1)=3b+3
4b-4=3b+3 -- subtract 3b from both sides
b-4=3 -- add 4 to both sides

b=7
Substitute b into equation 2
a=b-1
a=7-1

a=6

Verify:
4(6)=3(7)+3
24=21+3
24=24 -- True.

4a=3b+3
Put a=b-1 in the above equation
4(b-1) = 3b+3
open the brackets
4b - 4 = 3b + 3
collect B-terms together on one side
4b - 3b = 3+4
b = 7

N+5/16=-1 what is the answer?

Answers

$(n+5)/(16)=-1$

$n+5=-16$

$n=-21$

if this is (n+5)/16 = -1, then the answer is -21. if this is n + (5/16) = -1, then the answer is -(21/16)

The figure above represents a circle that has been dilated by a scale factor of 2.What is the measurement of the radius of the original circle?
Answer choices are below

A. 2 units

B. 2.75 units

C. 5.5 units

D. 11 units

Answers

if you look at the graph closely it has the y axis (top circle limit) on 5 and bottom -6
Same on the x axis to the left -5 to the right circle 6
total amount from onside to another is 11 which make the diameter 11.
Radius? divide the diameter which is 11/2 = 5.5
it says it has been dilated. If it has been re-sized smaller then it B. 2.75
5.5 divided by 2 = 2.75

Final answer:

The original circle's radius cannot be definitively determined from the question as is, because the dilated circle's radius is not specified. However, if the dilated circle's radius is known, the original radius can be found by dividing the dilated radius by the scale factor, which is 2 in this case.

Explanation:

The question represents a geometric concept in Mathematics, specifically dealing with dilation of a circle. In dilation, a figure is altered in size without changing its shape. If a circle is dilated by a scale factor of 2, meaning it has been made twice as large, the radius of the dilated circle will be two times the radius of the original circle. If the scale factor is 2, the radius's length will be halved to get the measurement of the original circle's radius. Therefore, without the specific measurement of the dilated circle's radius, we can't definitively give the original circle's radius from the options given (A. 2 units, B. 2.75 units, C. 5.5 units, D. 11 units).

Learn more about Dilation here:

brainly.com/question/29811168

#SPJ3

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