A submarine descends 45 1/2 feet from the ocean surface , climbs 30 feet ,and then descends an additional 18 3/4 feet. What must the submarine do now to reach the ocean surface?
A. Descends 94 1/4 feet
B. Climb 94 1/4 feet
C Descends 34 1/4 feet
D.Climbs 34 1/4 feet

Answer:

12 :)

Step-by-step explanation:

18/3 = 6

Now we multiply :)

6 x 2 = 12

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Answer:

12

Step-by-step explanation:

2/3 of 18 =

1/3 of 18 = 6

(because 18 divided by 3 = 6)

2/3 of 18 = 1/3 + 1/3

therefore 2/3 of 18 = 6 + 6 = 12 (or 6 x 2)

Hope this makes sense! If you have further questions, let me know!

- profparis

a brainliest would be appreciated if i helped you! :D

Answer:

m<5= 75° Alternate angles are equal

m<6 = 180°-75°= 105 ° Angles on a straight line adds up to 180°

In a rectangle opposite sides are equal so AB= CD

2x+8= 3x+4

3x-2x=8-4 ( combine like terms, the signs will change since they are going over opposite sides)

x= 4

To solve for BC

AD= BC

x+17 ( we know that x=4)

4+17=21

Therefore BC= 21

Answer:

Triangular Pyramid

Step-by-step explanation:

If you were to fold it up, there would be 1 triangular base, and 3 other triangular sides, making a triangular pyramid.

Answer is Triangular Pyramid.

What is Triangular Pyramid:

Triangular pyramid is a 3D shape in which all the faces are triangles. It is a pyramid with a triangular base connected by four triangular faces where 3 faces meet at one vertex. If it is a right triangular pyramid, the base is a right-angled triangle while the other faces are isosceles triangles.

(Here),

When you fold the given diagram you will get triangular pyramid.

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Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Answer:

Mparallel = 1

Step-by-step explanation:

Hope this helps!

Answer:

Think it is B.

Step-by-step explanation:

I am very sorry if I get this wrong. Like really really REALLY sorry if I get this wrong. But if it isn't B then it should be C.

The nearest kilometers to 999.09344471 km is 1000 km.

Given value is 999.09344471 Km.

We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.

Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only  the value after the decimal (934) is to be rounded off which is (900).

So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.

Again rounding off 999.900 km to nearest km so it becomes 1000 km.

The nearest kilometers to 999.09344471 km is 1000 km.

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Answer:

x = 11

Step-by-step explanation:

The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.  

Step 1:  Thus, we can find the value of x by setting the two angles equal to each other:

7x + 14 = 9x - 8

7x + 22 = 9x

22 = 2x

11 = x

Optional Step 2:  We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:

7(11) + 14 = 9(11) - 8

77 + 14 = 99 - 8

91 = 91

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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Answer:

f(x) = -3/2 x - 2

Step-by-step explanation:

The line rises to the left so the slope is negative, also:

the slope of the line is -3/2 and the y-intercept is at (0, -2)

A line can be represented by the following expression:

Where "m" is the slope of the line and "b" is the y-intercept. In this problem we only need to check the slope, so this is how we can calculate it:

Where (x1,y1) and (x2,y2) are two points that belong to that line.

To answer correctly we will calculate the slope of each restaurant using the points that were given on the table.

To find how many times the slope of the line B is greater than the slope of the line B we need to divide mb by ma.

The slope of the line B is 2 times greater than the one of the line A. The correct option is the second one.

Answer:

\(y = - \frac{4x}{107} + 12\)

Step-by-step explanation:

You start with 12 gallons, and for every mile that you drive, you will deplete \(\frac{1}{321}\) of your total amount of gas, or \(\frac{12}{321} = \frac{4}{107}\) gallons of gas for every mile you drive. Thus, for every x miles you drive, you'll deplete \(\frac{4x}{107}\) miles. Subtract that from 12 to get your final answer.

\( \frac{12 \times x}{321} \)

The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

To calculate for the volume of a rectangular base pyramid, we use the formula:

volume = 1/3 × area of base rectangle × height

volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units

volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.

Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

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Rounding this to the nearest whole number, we can estimate that about 125 customers will pay with cash next week.

Based on the previous week's data, the percentage of customers who paid with cash is (76/122)*100 = 62.3%. If we assume that this percentage will remain constant for the next week, then we can estimate that out of 200 customers, approximately 62.3% will pay with cash.
To calculate this, we can use the proportion:
(76/122) = (x/200)
where x is the number of customers we expect to pay with cash next week.
Solving for x, we get:
x = (76/122)*200 = 124.59
Rounding this to the nearest whole number, we can estimate that about 125 customers will pay with cash next week.

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Answer:

either at -21 or 3

Step-by-step explanation:

we know that the length is a total of 12 so it either goes 12 spaces to the left or to the right of -9

-9 - 12 is -21 and -9 + 12 is 3

Answer:

Step-by-step explanation:

These are a legitimate probability distribution:

To have a legitimate probability distribution, the probabilities for all possible values of X must satisfy two conditions:

Each probability value must be between 0 and 1, inclusive.

The sum of all probability values must equal 1.

Check if the given probabilities satisfy these conditions:

P(X=-3) = 0.14 (valid)

P(X=1) = 0.1 (valid)

P(X=3) = 0.135 (valid)

P(X=5) = 0.306 (valid)

Now, calculate the remaining probability to check if it satisfies the second condition:

P(X=6) = 1 - (P(X=-3) + P(X=1) + P(X=3) + P(X=5))

P(X=6) = 1 - (0.14 + 0.1 + 0.135 + 0.306)

P(X=6) = 1 - 0.681

P(X=6) = 0.319

Since the calculated probability is valid (between 0 and 1), There is a legitimate probability distribution for the discrete random variable X:

P(X=-3) = 0.14

P(X=1) = 0.1

P(X=3) = 0.135

P(X=5) = 0.306

P(X=6) = 0.319

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To solve this problem, we need to standardize the IQ scores using the z-score formula:

z = (x - μ) / σ

where x is the IQ score, μ is the mean IQ, and σ is the standard deviation.

For x = 95, we have:

z = (95 - 105) / 15 = -0.67

For x = 115, we have:

z = (115 - 105) / 15 = 0.67

Now, we can use a standard normal table or a calculator to find the probability that a z-score is between -0.67 and 0.67. Using a standard normal table, we find:

P(-0.67 < z < 0.67) = 0.4978

Therefore, the probability that a randomly selected adult has an IQ between 95 and 115 is 0.4978 or about 49.78%.

Answer:

1884.785

Step-by-step explanation:

24.5 × 24.5=600.25

600.25 × 3.14=1884.785

Answer:

1884,785

Step-by-step explanation:

\(24.5 \times 24.5 \times 3.14 \\ 24.5 \times 24.5 = 600.25 \\ 600.25 \times 3.14\)

\( = 1884.785\)

Answer:226.2

Step-by-step explanation

Lateral= 2πrh

H=12

R=3

2*π*3*12=226.19

Round to nearest 10th is 226.2

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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There will be a rise in false positives and a fall in false negatives.This is because the true positives and true negatives are determined by the values of the variables in the logistic regression model.

When the cut-off value is increased, the False Positives will increase, meaning that more observations will be incorrectly classified as positives. The False Negatives will decrease, meaning that fewer observations will be incorrectly classified as negatives. At the same time, the True Positives and True Negatives will remain unchanged, as long as the variables in the fitted logistic regression model remain the same.When the cut-off value is increased, the logistic regression model will be more stringent in its classification of observations. This means that the model will classify more observations as false positives (incorrectly classifying them as positives) and fewer as false negatives (incorrectly classifying them as negatives). On the other hand, the model will not be affected by the change in cut-off value when it comes to true positives and true negatives. This is because the true positives and true negatives are determined by the values of the variables in the logistic regression model, which remain unchanged when the cut-off value is changed.

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The volume of the cylinder will be 666 cubic centimeters. Then the correct option is D.

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The radius and height of the cone and the cylinder are the same. Then the ratio of the volume of the cylinder to the volume of the cone is 3. Then we have

(Volume of the cylinder) / (Volume of the Cone) = 3

Volume of the cylinder  / 222 = 3

Volume of the cylinder = 666 cubic cm

The volume of the cylinder will be 666 cubic centimeters. Then the correct option is D.

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Using equations, the time for the main engine 14.4 seconds and 21.6 seconds for the auxiliary engine

Let's call the time each engine takes to consume its allotted fuel supply as "t₁" for the main engine and "t₂" for the auxiliary engine.

From the first piece of information, we know:

t₁ = (2/3)t₂

From the second piece of information, we know that the combined fuel consumption time for both engines is 36 seconds:

t₁ + t₂ = 36

Now we can substitute the first equation into the second:

t₁ + (2/3)t₂ = 36

Combining like terms:

t₂ = 21.6

Finally, substituting t₂ back into the first equation:

t₁ = (2/3)(21.6) = 14.4

So the main engine alone could be fired for 14.4 seconds and the auxiliary engine alone could be fired for 21.6 seconds.

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