Which of the following is equivalent to 18- √25?
5i
18 – 5i
18 + 5i
23

Answers

Answer 1
Answer: In this complex number, assuming that the equation actually is 18- √-25, the real part is already simplified. However, the imaginary part can be simplified by taking out "i" from the root using the relation i = √-1. This is done below:

18 - 
√-25
18 - 
√(-1)(25)
18 - 5i

From the choices, the correct answer is 18 - 5i.
Answer 2
Answer:

Answer:

The answer is B

Step-by-step explanation:


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A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys being produced, n (in millions), in t years? A. n= 2.5(1.5)/t, t cannot = 0
B. n= 1.5t^2 + 1.25
C. n= 1.5t + 1.25
D. n= 1.25(2.5^t)

Answers

For this case we have a function of the form:

Where,

n0: initial amount (in units of millions)

b: growth rate

t: time in years

Substituting values we have:

Answer:

the number of toys being produced, n (in millions), in t years is:

D. n = 1.25 (2.5 ^ t)

Answer:

The correct option is D.

Step-by-step explanation:

It is given that the factory produces 1,250,000 toys each year.

In the function n (in millions), So the initial production is 1.25 million.

The increasing rate is 150%. THe increasing rate is 1.5.

The function is defined as,

n=n_0(1+r)^t

Where n₀ is initial production, r is rate and t is time.

n=1.25(1+1.5)^t

n=1.25(2.5)^t

Therefore the correct option is D.

10 gallons of gasoline cost $30. The cost of gallons per gasoline is

Answers

Answer:

Step-by-step explanation:

$30/10  =  $3 per gallon

Statements Reasons 1. BE || CD 1. Given 2. ∠A ≅ ∠A 2. Reflexive Property 3. ∠ACD ≅ ∠ABE 3. Corresponding angles formed by parallel lines and a transversal are ≅. 4. ∠ADC ≅ ∠AEB 4. Corresponding angles formed by parallel lines and a transversal are ≅. 5. ΔABE ∼ ΔACD 5. ??? Fill in the missing reason for the proof. A) SSS Congruence Theorem B) SSS Similarity Theorem C) AA Similarity Postulate D) SAS Congruence Postulate

Answers

Answer:

The correct option is;

C) AA Similarity Postulate

Step-by-step explanation:

The given parameters are;

BE║CD Given

∠A is congruent to ∠A Reflective property

∠ACD is congruent to ∠ABE Corresponding angles formed by parallel lines and a transversal

∠ADC is congruent to ∠AEB Corresponding angles formed by parallel lines and a transversal

ΔABE ~ ΔACD AA Similarity Postulate

When two angles of one triangle are equal to the corresponding two angles of another triangle, given that the third angle of both triangles are also equivalent based on sum of angles of a triangle postulate, the two triangles are said to be similar based on Angle-Angle (AA) Similarity Postulate.

Chance had 48 cents. his mom gave him 7 dollars. how much money does chance have now?

Answers

$ .48 + $7.00 = $7.48 

Final answer:

Chance has $7.48. This was calculated by converting the dollars that his mom gave him into cents, adding it to the cents he already had, and converting it back into dollars and cents.

Explanation:

To answer this question, it is important to firstly convert the measure of money to the same unit for easier addition. Chance had 48 cents, which is less than 1 dollar, and his mom gave him 7 dollars.

Since 1 dollar is equal to 100 cents, 7 dollars will be equal to 700 cents.

Now, we can add up the cents to find out how much total money Chance has: 48 cents that Chance originally had plus 700 cents from his mom equals 748 cents,

Converting cents back into dollars (as 1 dollar = 100 cents), Chance has 7 dollars and 48 cents (or $7.48).

Learn more about Dollar-cent conversion and addition here:

brainly.com/question/35715004

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I need to show my work but I don’t know how to do these can someone help me??

Answers

Use cymath.com it shows the steps to copy

Andrew has a new 3 ft wide bookcase with two shelves, each 15 in. in high. he plans to store his CD’s on the shelves, using new CD racks. Each CD rack is 17 in. wide and 7 in. high, and holds three stacks of 12 CDsWill Andrew have enough room for his 250 CD’s in the bookcase if he uses the two shelves inside the book case it doesn’t put any CDs on top of it? how many CDs will he be able to store?

Answers

Answer: He will not have enough room

Step-by-step explanation: To determine if Andrew has enough room for his 250 CDs on the two shelves inside the bookcase, we need to calculate how many CD racks can fit on each shelf and how many CDs each of these racks can hold.

The bookcase is 3 ft wide, which is equivalent to 36 inches. Each shelf is 15 inches high. Therefore, the available space for CD racks on each shelf is 36 inches in width and 15 inches in height.

Each CD rack is 17 inches wide and 7 inches high. To calculate how many racks can fit on each shelf, we can use the following formula:

Number of racks on a shelf = (Width of shelf) / (Width of CD rack)

Number of racks on a shelf = 36 inches / 17 inches ≈ 2.12 (round down to 2, as you can't have a fraction of a rack)

Now, let's calculate how many CDs each of these racks can hold. Each CD rack can hold three stacks of 12 CDs each, for a total of 3 x 12 = 36 CDs.

So, on each shelf, Andrew can fit 2 CD racks, and each rack can hold 36 CDs. Therefore, each shelf can store 2 x 36 = 72 CDs.

Since Andrew has two shelves, he can store a total of 2 x 72 = 144 CDs in the bookcase.

So, he will be able to store 144 CDs in the bookcase, which is less than his 250 CDs. Therefore, he won't have enough room for all his 250 CDs in the bookcase, and he will need additional storage for the remaining CDs.