Calculate (4 + 10i)^2

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

The measure of the third interior angle, given that this is a triangle and the other two measures are known, is 100 degrees.

The sum of the interior angles of a triangle is always 180 degrees.

Given that the two of the interior angles are 45 degrees and 35 degrees, it is possible to find the measure of the third angle by subtracting the sum of these two angles from 180 degrees.

Third angle:

= 180 - ( 45 + 35 )

= 180 - 80

= 100 degrees

In conclusion, the measure of the third interior angle is 100 degrees.

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Answer:

D

Step-by-step explanation:

In a busy amusement park the number of people entering always increases as time goes on. I’m sure you know this if you ever been to one and had to wait in those long lines at the entrance or at any of the rides.

Answer:

D

Step-by-step explanation:

ifunny is dankreloaded

Answer:

The value for partners savings bank at the end of 1 year is $12,362.70. The value for Selwyn's at the end of 1 year is $12,334.58. The future value obtained by investing in Partners Saving Bank is more as compared to Selwyn’s Saving Bank. Hence Joseph is recommended to choose Partners Saving Bank.

Step-by-step explanation:

The value of the interest rate and the compounding applied, gives the

value in the account after one year.

Reasons:

The amount Joseph receives as gift, A₀ = $12,000

Amount interest from Partner's Savings Bank, r = 3% compounded semiannually

Interest rate offered by Selwyn's, r = 2.75% compounded continuously

Required:

The value of the two account at the end of one year.

Solution:

[tex]A_t = A_0 \cdot \left(1 + \dfrac{r}{2} \right)^{2 \times t}[/tex]

The amount at the end of one year (t = 1) in Partner's Savings Bank is therefore;

[tex]A_t = 12,000 \times \left(1 + \dfrac{0.03}{2} \right)^{2 \times 1} = 12,362.7[/tex]

The value of an account at Selwyn's is therefore;

The interest rate compounded continuously is presented as follows;

[tex]A(t) = \mathbf{A_0 \cdot e^{r \cdot t}}[/tex]

A₀ = The original amount invested = $12,000

Which gives;

[tex]A(t) = 12,000 \times e^{0.0275 \times 1} \approx \mathbf{12,334.58}[/tex]

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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:

A multiply by 5

Step-by-step explanation:

x/5-12=10

x/5=10+12

x/5=22

multiple each side by 5

x=22*5

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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Explanation:

The type of test to be performed to test the hypothesis with the following data: Họ: H = 27, HA: μ< 27, X = 33, o= 2.5, and n= 77 is a left-tailed Z-test.

Hypothesis testing is a statistical technique that allows us to evaluate the validity of the hypothesis or assumptions regarding a population parameter. The hypothesis testing is based on several assumptions that must be met to test whether the null hypothesis is true or false.In this case, we will use the left-tailed Z-test since we have a sample size n > 30 and the population standard deviation is known as o= 2.5.Here are the steps for performing the left-tailed Z-test:

Step 1: State the null hypothesis and alternative hypothesis. H0: μ = 27 vs. Ha: μ < 27 (left-tailed test)

Step 2: Determine the level of significance (α). Assume α = 0.05

Step 3: Calculate the test statistic, which is given by: Z = (X - μ) / (o / √n)Where X is the sample mean, μ is the population mean, o is the population standard deviation, and n is the sample size.Z = (33 - 27) / (2.5 / √77)Z = 3.354

Step 4: Determine the p-value associated with the test statistic.Using a Z-distribution table or calculator, we find that the p-value is less than 0.001.

Step 5: Compare the p-value with the level of significance.Compare the p-value with α (0.05). Since the p-value is less than α, we reject the null hypothesis.Hence, the conclusion is that there is sufficient evidence to support the alternative hypothesis that the population mean is less than 27 at the 0.05 significance level.

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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

Answer:

10

Step-by-step explanation:

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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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:

10.1g+3.52x+16y+43.7

Step-by-step explanation:

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

Step-by-step explanation:

A. Right

B. Acute

C. Right

D. Obtuse

Answer: a = 3x

b = 2x+25

180 = a + b

180 = 3x + 2x + 25

180 = 5x + 25

155 = 5x

x = 31

a = 3*31 = 93

b = 2*31 + 25 = 87

Step-by-step explanation: pls mark as branlyest

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:

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:

a.37

b. 82

c.101

d.8

e.6

f.3

Step-by-step explanation:

hope this helps

Answer:

34

Step-by-step explanation:

Answer:

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

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 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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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.

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:

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:

12 inches

Step-by-step explanation:

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