Which ordered pair is a solution of 9(x – 2)2 – 4(y + 5)2 ≥ 36?

(2, –3.5)
(2, 5.5)
(–7.5, –5)
(1.5, –5)

The Bank of Cheerton now holds $1,200 in excess reserves. So, correct option is A.

To determine the quantity of excess reserves that the Bank of Cheerton holds, we first need to calculate the required reserves. The required reserves are the portion of the deposits that the bank is required to hold as reserves based on the reserve requirement set by the Federal Reserve.

The reserve requirement is given as 5 percent, and the Bank of Cheerton has deposits of $60,000. Therefore, the required reserves can be calculated as follows:

Required Reserves = Deposits * Reserve Requirement

= $60,000 * 0.05

= $3,000

Next, we can calculate the excess reserves, which are the reserves held by the bank in excess of the required reserves. Excess reserves can be calculated as the difference between the total reserves (reserves held by the bank) and the required reserves:

Excess Reserves = Reserves - Required Reserves

= $4,200 - $3,000

= $1,200

Therefore, correct option is A.

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Step-by-step explanation:

A. Right

B. Acute

C. Right

D. Obtuse

Answer:

a.37

b. 82

c.101

d.8

e.6

f.3

Step-by-step explanation:

hope this helps

The possible dimensions of S1, can range from 0 to 4, and if S1 ≠ S2, then the possible dimensions of S1 can range from 1 to 4, where the dimension of S1 is equal to the dimension of S2 plus 1 up to a maximum dimension of 4.

(1) The possible dimensions of S1, when S2 is a nonzero subspace contained inside it and dim(S2) = 4, can be any integer value from 0 to 4.

(2) If S1 ≠ S2, then the possible dimensions of S1 can range from 1 to 4. Since S1 ≠ S2, it means that S1 must have at least one additional vector that is not present in S2. Therefore, the dimension of S1 can be equal to the dimension of S2 plus 1 (dim(S2) + 1), up to the maximum possible dimension of 4.

To elaborate further, when S1 ≠ S2, it implies that there exists a vector in S1 that is not in S2. This additional vector increases the dimension of S1 by one. Hence, the possible dimensions of S1 can be 1, 2, 3, or 4, as long as it is greater than or equal to the dimension of S2 plus 1. However, it is important to note that the specific dimension of S1 depends on the specific vectors and subspaces involved in the given context.

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Answer:

18. $11

19. $1.40

20. 31

21. 4.05

22. 8.2

23. 31

24. 5.05

25. $14.99 per month

26. 3.7 oz

27. 16 miles ???

28. $6 each

Step-by-step explanation:

Hope that helps. That took a long time sorry. Also I am not a hundred percent sure on 27. If someone else has a different answer just check both

Answer: I think it’s 4

Step-by-step explanation: count the squares surrounding the triangle, 4 times 2 is eight 1/2 of that is 4

Answer:

It would be the last choice. Base= 8 in; height= 3 in

Step-by-step explanation:

It gives you the measurement for the height you just have to read what the ruler says at the bottom. When does the shape stop on the ruler? That number would be the answer in this case it would be the last choice.

Answer:

i dont know lol

Step-by-step explanation:

Answer:

-4 < x < 2

Step-by-step explanation:

-4

-4 <

-4 < x

-4 < x <

-4 < x < 2

hopefully this answers your question. but a little fyi, this is simply the way i learned it, so it may/may not be what you exactly need :)

Answer:

34

Step-by-step explanation:

Answer:

angle f is 132..........

The integral of the given form 1 = $* $(d, where f(x) = ln(x)h(x) and b>0, where h(0) exists but is not equal to zero, is divergent.

This is because the function f(x) is unbounded in the limit x + 0.The integral 1 = $* $(d, where f(x) = ln(x)h(x) and b>0, is divergent because the function f(x) is unbounded in the limit x + 0. The integral of the given form can be represented as∫ba ln(x)h(x) dx, which can be evaluated by using integration by parts.Using u = ln(x), dv = h(x) dx, v = ∫h(x) dx, and du = dx/x, we get the integral as∫ba ln(x)h(x) dx = ln(x) ∫ba h(x) dx - ∫ba (∫ba h(x) dx/x) dx= ln(b) ∫ba h(x) dx - ∫ba (∫xba h(t) dt/x^2) dx.Since h(0) exists but is not equal to zero, ln(x)h(x) goes to infinity as x approaches 0. Therefore, the integral diverges as x approaches 0.

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Answer:

3/2

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Make a common denominator and multiply the many times the denominator had to get to the common denominator to the numerator.

Answer:

EG = 84

Step-by-step explanation:

Here, we want to get the length of EG

Mathematically, we will be considering two triangles

these are EFJ and EHG

These two triangles are similar as can be seen

when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

EH/EG = EJ/EF

let us represent EF by x

so; EG is (x + 72)

EH = 3 + 18 = 21

Hence, we have it that;

21/x+ 72 = 3/x

21(x) = 3(x + 72)

21x = 3x + 216

21x-3x = 216

18x = 216

x = 216/18

x = 12

EG = 12 + 72 from EG = x + 72

EG = 84

The statement as it has been written can be shown as false.

There is often a trade-off between specificity and sensitivity when changing the cutoff criterion for a classification algorithm. Sensitivity relates to the classifier's capacity to accurately identify the positive cases, while specificity refers to the classifier's capacity to do so.

You can modify the ratio of true positive to false positive rates by setting the cutoff value. By identifying more occurrences as positive, lowering the threshold may boost sensitivity, but it can also result in an increase in false positives, which lowers specificity.

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The property illustrated in (2 + 1) + (6 + 5) = (6 +5) +(2 + 1) is the commutative property of addition

From the question, we have the following parameters that can be used in our computation:

(2 + 1) + (6 + 5) = (6 +5) +(2 + 1)

In the above expression, we can see that

The terms of the expression are swapped

This can be illustrated as

if a + b = b + a

The name of the property is the commutative property of addition

Hence, the name of the property illustrated in (2 + 1) + (6 + 5) = (6 +5) +(2 + 1) is the commutative property of addition

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Answer: -5,-1

Remember this: The number on the x axis ALWAYS goes first in the coordinates.

5. The independent variable is the period of time.

6. The dependent variable is the distance traveled by the car.

5. The independent variable is the period of time because it is the variable that is controlled or manipulated in this scenario. The car's speed remains constant at 60 miles per hour, and the time is the factor that can be changed or adjusted.

6. The dependent variable is the distance travelled by car because it is the variable that is influenced or affected by the independent variable. In this case, the distance traveled depends on the period of time for which the car maintains a constant speed of 60 miles per hour.

The longer the period of time, the greater the distance traveled, and vice versa. The relationship between the independent variable (time) and the dependent variable (distance) is determined by the constant rate of 60 miles per hour. As time increases, the car covers more distance, while as time decreases, the car covers less distance.

Therefore, the distance traveled is dependent on the period of time for which the car maintains its constant speed.

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The probability that the archer gets exactly 4 bullseyes is 0.133.

The probability of an event is described as a number that indicates how likely the event is to occur and is expressed as a number in the range from 0 and 1.

P(X = k) = C(n, k) * [tex]P^k[/tex] * [tex](1 - p)^(^n^ - ^k^)[/tex]

C(n, k) =  binomial coefficient

p=  probability of success in a single trial

n = number of trials

The archer hits the bullseye 59% of the time,

p = 0.59

k = 4.

n = 8)

P(X = 4) = C(8, 4) *[tex]0.59^4[/tex] *[tex](1 - 0.59)^(^8^ -^ 4^)[/tex]

P(X = 4) = 0.133

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Answer:

12 inches

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

Dave has 9 water bottles

Step-by-step explanation:

All 12 water bottles minus Sam's 3 water bottles equals Dave's 9 water bottles.

12 - 3 = 9

Answer:

yes

Step-by-step explanation:

multiples of 11: 11,22,33,44,55,66,...

Answer:

No because multiples of 11 are 11,22,33,44,55 etc and multiples of 66 are 66,132,198,264,330 etc

Answer:

30 different types of tacos can Rico make.

Step-by-step explanation:

Given - The list below shows the different taco shells, fillings, and toppings sold at Rico's Taco Bar.

Taco Shells                 Fillings                           Toppings

Soft                              Chicken                           Cheese

Hard                             Beef                                 Lettuce

                                    Bean                               Sour Cream                      

                                                                           Onions  

                                                                            Salsa

To find - How many different types of tacos can Rico make using one taco shell, one filling, and one topping?

Proof -

Given that,

There are 2 different types of Taco shells, 3 different type of fillings and 5 different types of toppings.

So, by the fundamental principal of counting,

Total types of tacos Rico made = 2 × 3 ×5 = 30

Answer:

6

Step-by-step explanation:

Formula for area A=0.5(bh)

12=0.5(4h)

12=2h

6=h

Answer:

6

Step-by-step explanation:

Area of triangle equation:

A=[tex]\frac{1}{2}[/tex] base * height

For this triangle...

12=[tex]\frac{1}{2}[/tex] (4) (x)

we need to figure out what x is to find the height.

To get x alone in this equation we can first divide both sides by 4

12/4=[tex]\frac{1}{2}[/tex] (x) ---> 3= [tex]\frac{1}{2}[/tex] (x) Then multiply by the reciprocal of 1/2 which is 2/1

x=6

Answer:

10x - 40 = 100, x = 14

Step-by-step explanation:

At a flower shop, there are 10 bouquets with the same amount of flowers in each of them. In total, 40 flowers were purchased. Now, there are 100 flowers left in the shop. How many flowers are in a bouquet?

This situation can be represented by

10x

- 40

= 100

Answer: 3 red marbles, 3 blue marbles, 6 yellow marbles, 8 black marbles, 4 silver marbles

Step-by-step explanation:

I know these are the correct number of marbles because I set up these numbers as fractions and solved for x.

For examples, 2/16 of the marbles are red. 2/16=x/24

You would do this because we are trying to find the number of marbles that are red out of the 24 marbles.

Next, we would do 24 divided by 16= 1.5 Then 1.5 times 2=3

You would follow this rule for each fraction of marbles in order to find the true number of marbles out of 24.

Answer:

10.1g+3.52x+16y+43.7

Step-by-step explanation: