The depths of her dives are -6.9 ft, -8 2/5 ft, and -7.5 ft. she dives three more times with each dive 0.75 feet deeper than each of the first three dives.

PART A:
Write and then evaluate an express to determine the length, in decimal form, of her fourth dive
EXPRESSION:
FOURTH DIVE:________ FT

PART B:
Write and then evaluate an expression to determine the depth, in decimal form, of her fifth dive
EXPRESSION
FIFTH DIVE:______FT

PART C:
Write and evaluate an expression to determine the depth, in decimal form, of her sixth dive
EXPRESSION:
SIXTH DIVE:

​

Answer:

Detergent A uses exactly 1 fluid ounce per load more than detergent B.

Step-by-step explanation:

We are given that Detergent A contains 48 fluid ounces and cleans 16 loads of dishes. Detergent B contains 76 fluid ounces and cleans 38 loads of dishes.

We have to compare that which detergent is accurate.

As we know that the formula for finding fluid ounce per load is given by;

 Fluid ounce per load =  \(\frac{\text{Amount of fluid ounces}}{\text{Amount of loads}}\)

Fluid ounces = 48

Loads of dishes = 16

So, fluid ounce per load =  \(\frac{48}{16}\)

                                         = 3 fluid ounce per load

Fluid ounces = 76

Loads of dishes = 38

So, fluid ounce per load =  \(\frac{76}{38}\)

                                         = 2 fluid ounce per load

So, we can clearly see that Detergent A uses exactly 1 fluid ounce per load more than detergent B, ie. (3 - 2) = 1 fluid ounce per load.

Since the figure was rotated, the image figure has the same corresponding sides, the thing that changed was the position of the points and the figure but not the length of the sides.

First, we identify corresponding sides (equal sides). This is shown in the following image by drawing corresponding sides in the same color:

As we can see, the length of side AB is equal to the length of side A'B', because they are corresponding sides.

Anwer:

Sorry but your screenshot is very blur. please give clear photo so that we can read question and answer it.

The probability of occurence of chocolate is 0.4 0r 40%. So the option A is the correct one.

Probability refers to the measure or quantification of the likelihood or chance of an event or outcome occurring. It is typically expressed as a numerical value ranging from 0 to 1, where 0 represents an impossible event and 1 represents a certain event.

In probability theory and statistics, a random variable is a variable whose value is determined by the outcome of a random event or process. It is often denoted by a capital letter, such as X or Y, and it can take on different values with certain probabilities associated with each value.

Based on the given condition, formulate:

8/20=2/5

0.4 or 40%

Therefore option (A) is correct.

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Answer:

93.47

Step-by-step explanation:

100-6.53=93.47

Step-by-step explanation:

In A,

length=3units

width=2 units

area=length×width

area=3×2 sq.units

area=6 sq.units

In B,

length=1unit

width=4units

area=length × width

area=1unit × 4units

area= 4 sq.units

Note:if you need to ask any question please let me know.

The hourly decay factor for the given case is 0.032.

According to the question,

We have the following information:

Suppose that a person's peak blood alcohol level is 0.04 (grams per 100ml) and that this level decreases by 20% each hour.

Rate of decline = -20/100

Rate of decline = -0.2

We know that the following formula is used to calculate the hourly decay factor:

C(1+r)

In this case, we have the following values:

C = 0.04 and r = -0.2

So, we have the following expression:

0.04(1-0.2)

0.04*0.8

0.032

Hence, the hourly decay factor for the given case is 0.032.

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A barracuda swam directly toward a coral reef at a speed of 9.6 seconds. It swam 72 meters. so its speed was 7.5m/s.

Speed can be calculated as the ratio of distance traveled to the time taken.

Speed = Distance/ time taken

A barracuda swam directly toward a coral reef at a constant velocity for 9.6 seconds. It swam 72 meters in that time.

Distance = 72 meters

Time taken = 9.6 seconds

So,

Speed = Distance/ time taken

Speed = 72/ 9.6

           = 720/ 96

           = 7.5m/s

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By these steps, you can investigate triangles in spherical geometry and estimate the measure of each angle in the triangle using a protractor.

In spherical geometry, a triangle is formed by three great circles on a sphere. To investigate triangles in spherical geometry,

Follow these steps:
1. Use masking tape to mark three great circles on a ball. Make sure that at least one of the great circles passes through different poles than the other two.
2. The three great circles will intersect at three points on the sphere's surface, forming a triangle.
3. Use a protractor to estimate the measure of each angle of the triangle. Measure the angles at the three points where the great circles intersect.
Remember that in spherical geometry, the sum of the angles of a triangle is always greater than 180 degrees.
By following these steps, you can investigate triangles in spherical geometry and estimate the measure of each angle in the triangle using a protractor.

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To estimate the measure of each angle of the triangle formed by the three great circles on the spherical ball, you can follow these steps:

1. Use masking tape to mark three great circles on the ball. Make sure that at least one of the three great circles goes through different poles than the other two.

2. These three great circles will form a triangle on the surface of the ball.

3. To estimate the measure of each angle of the triangle, use a protractor.

4. Start by measuring the angle between the first two great circles where they intersect. Let's call this angle A.

5. Move to the next pair of intersecting great circles and measure the angle between them. Let's call this angle B.

6. Finally, measure the angle between the remaining pair of intersecting great circles. Let's call this angle C.

7. The sum of the measures of the angles of any triangle in spherical geometry is always greater than 180 degrees. In fact, it is directly proportional to the area enclosed by the triangle.

8. Therefore, the sum of the measures of angles A, B, and C should be greater than 180 degrees.

9. To estimate the measure of each angle, use the protractor to measure the angle between the great circles and record the values.

10. Once you have measured all three angles, add them together to get the sum of the measures of the angles of the triangle.

11. Compare the sum of the measured angles with 180 degrees. If the sum is greater than 180 degrees, you can conclude that the triangle is formed on a spherical surface.

12. Since the question does not provide specific measurements, it is not possible to provide a definitive answer in terms of the measure of each angle, such as "150 degrees."

By following these steps and using a protractor to estimate the angles, you can determine the measure of each angle in the triangle formed by the great circles on the spherical ball.

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Answer:

12.53 miles

Step-by-step explanation:

6² + 11² = x²

36 + 121 = x²

157 = x²

x = 12.53 miles

The distance from town A to town C would be; 12.53 miles.

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We are given that Town B is 6 miles due north of town A, and town C is due east of town A. It is 11 miles from town B to town C.

Therefore,

6² + 11² = x²

36 + 121 = x²

157 = x²

x = 12.53 miles

Hence, the distance from town A to town C would be; 12.53 miles.

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Given:

Required:

We need to find R(-3).

Explanation:

Replace x =-3 in the given equation.

Final answer:

Answer:

That is very nice. I like steel factory's that manufacture and sell steel beams, they are my favorite!! :]

The question is bland...

And honestly what even is the question?

Step-by-step explanation:

I'll help but explain the question further

Answer:

0.917

Step-by-step explanation:

1ml=0.001L

Answer:

0.917 L

Step-by-step explanation:

Keep in mind that 1 L = 1000ml

since the number in ml does not go past 1000 it means that there is not even 1 liter. So your answer will be a decimal.

917 mL = 0.917 L

Answer:

the answer is 880 yards more

Step-by-step explanation:

1 mile is equal to 5280 feet or 1760 yards.

then subtract your two numbers that have the same unit (yards)

1760 yards - 880 yards = 880 yards

As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.

We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.

At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:

4 + 2x^2 + 2y^2 = 10

2x^2 + 2y^2 = 6

x^2 + y^2 = 3

This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.

Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:

∫∫[x^2 + y^2 ≤ 3] dx dy

Switching to polar coordinates, we have:

∫[0,π/2]∫[0,√3] r dr dθ

Integrating with respect to r first gives:

∫[0,π/2] [(1/2)(√3)^2] dθ

= (3/2)π

So the volume of the solid is:

V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV

= (3/2)π(10-4)

= 9π

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Answer:

Thats confusing tbh

Step-by-step explanation:

Answer:

The second one .......

Answer:

Step-by-step explanation:

\(-(\frac{1-2a}{a-5} )\\\frac{2a-1}{a-5}\\ = \frac{2(7) - 1}{7-5}\\=\frac{13}{2}\)

The probability that both Rachel and Robert are in the picture is 3/16.

The terms probability and possibility are interchangeable. It is a mathematical branch concerned with the occurrence of a random event. The value is between 0 and 1. In mathematics, the probability was introduced to predict the likelihood of events occurring.

Given that

Rachel and Robert both begin at the same point

Rachel completes a lap every 90 seconds.

Robert completes a lap every 80 seconds.

The photographer captures 1/4th of the track, centered on the starting line.

As a result, the photo captures 1/8th of the track on either side of the starting line.

The photographer captures it between 10 and 11 minutes, or 600 and 660 seconds.

Let us calculate the time interval between 600 and 660 seconds during which Rachel and Robert will be running in the quarter-length region of the track centered on the starting line. Specifically, 1/8th of the track length on each side of the starting line.

Robert will complete 1/8th of a lap in 10 seconds. So, between 630 and 650 seconds, Robert will be in the area of the ground captured by the photographer.

Rachel finishes one lap in 90 seconds. As a result, Rachel will take the starting line at the 630th second (after 7 laps).

Rachel will complete 1/8th of a lap in 90/8 seconds. So, Rachel will be in the area of the ground captured by the photographer from (630 - 90/80) seconds to (630 + 90/80) seconds.

i.e., for a duration of 90/80 seconds out of the 60 seconds both of them are in the frame captured by the photographer.

Required probability = {time window in which both Rachel and Robert are in the favorable zone}/{time window in which the photographer captures the picture}

= {90/8}/60

= 3/16

Therefore the probability that both Rachel and Robert are in the picture is 3/16

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The probability that three of out nine cars need new brakes is 0.294  

Combination:

The combination is the process of selecting items from a group of objects where the order of objects does not matter. In simple words, we can say that it is a combination of n things in r times without repetition.

The formula for the combination of 'a' things from the set of n things without replacement is given

Here from the given problem,

Number of automobiles = 25

Number of automobiles that need new tune-ups = 15  

Number of automobiles that need new brakes = 10

Number of automobiles chosen at time = 9  

From above formula

The number of ways of selecting 9 cars from 25 cars

²⁵C₉ = 25!/9!(25 - 9)!

= 25!/9!(16)!  

= 2,042,975

The number of ways that can be chosen as 3 out of 9 cars that need breaks

Choosing 3 cars that need breaks from 10 cars = ¹⁰C₃

= 10!/3!(10 - 3)!  

= 10!/3!(7)!

= 120

Choosing the remaining 6 cars from the 15 groups of cars that need new tune-ups =  ¹⁵C₆

=  15!/6!(15 - 6)!  

=  15!/6!(6)!    

= 5,005

From above calculations

The number of ways that can be chosen as 3 out of 9 cars that need new  breaks  = 120 × 5,005

= 600600

As we know that

Probability of event = No of favorable outcomes / total outcomes  

The probability that three of them need new brakes

= 600600/2042975

= 0.294  

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Answer:

No se

Step-by-step explanation

Espero Averte Ayudado:

Answer:

14 cm per day

Step-by-step explanation:

To find the water level increase rate in cm per day, divide 84 by 6, since it increased by 84 cm in 6 days:

84/6

= 14

So, the water level increase rate in 14 cm per day

I also think the answer is "3".

Answer:

Answer is 3

Step-by-step explanation:

I see a lot of 3

Answer:

88 sq units

Step-by-step explanation:

Area of the rectangle = 14*4= 56 (length*width)

Formula for the area of a Δ = 1/2 * b * h =

1/2 * 8 * 8 =

4*8 = 32

Add:

56+32 = 88

Answer:

what are you looking for

Step-by-step explanation:

If the boy is riding a bicycle and gets stuck or got accident by a car, 440ml of IV fluid will be administered.

To avoid further injury, place the victim on the ground very gently and slowly without handling vigorously. In one direction, tilt the sufferer. Dress loosely around the waist, chest, and neck. So that the tongue can fall forward and allow blood and vomit to drain out, tilt your head back and slightly downward. When you come across an accident victim, the first thing you need to determine is whether the victim's body has sustained any physical wounds. Depending on how severe the collision was, you might not be able to see any inside injuries, but you will see a few exterior ones.

In a car accident, spine injuries and head trauma are common. Therefore, be aware that rough handling of the sufferer will result in additional injuries while opting to assist the victim in moving to a safer location on the road. Therefore, request any onlookers to carefully assist in moving the sufferer to a location near the road where it will be safer.

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Answer:

yes

Step-by-step explanation:

there are variables so it is a function

Answer:

Yes, x^2 + 2y = 4 is a function.

Step-by-step explanation:

x^2 + 2y = 4

Solve for y.

2y = -x^2 + 4

y = -(1/2)x^2 + 2

f(x) = -(1/2)x^2 + 2

Answer: Yes, x^2 + 2y = 4 is a function.

Answer:

x=65

Step-by-step explanation:

That is the answer.

Answer:

ok

Step-by-step explanation:

ok

Answer: 4105.5

Step-by-step explanation:

The number of tickets sold in the previous year is 3723.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the theater group sold 4380 tickets and which was 15% more than the tickets sold the previous year.

Therefore, the tickets sold in the previous year is:

4380 - 15% of 4380

= 4380 - 15×4380/100

= 4380 - 657

= 3723

Hence, the number of tickets sold in the previous year is 3723.

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