v2=v02+2ax ; solve for x.

The angles are complementary.

This means they add to 90 degrees.

(2x + 1) + (x + 5) = 90.

3x + 6 = 90. (Combine like terms)

3x = 84. (Subtract 6 from each side)

x = 28. (Divide 3 from each side)

x = 28

D is correct

The sum of the digits of the product p×q is 8

A positive integer bigger than one that can be divided only by itself and by one is referred to as a prime number.

Given that: p³ - pq² = 42024

p (p² - q²) = 42024

Since factors, 42024 = 2³ x 3 x 17 x 103, and p and q are prime numbers, we can see that p must be 3, 17 or 103, We can try each case:

If p = 3 then we have:

3 (9 - q²) = 42024

q² = -13,999

This equation has no real solutions for q, so p cannot be 3.

If p = 17, then we have:

17 (289 - q²) = 42024

q² = -2183

This equation also has no real solutions for q, so p cannot be 17 either.

If p = 103, then we have:

103 (10609 - q²) = 42024

10609 - q² = 408

q² = 10201

q = 101

This equation also has a solution for q = 101, so p = 103

Product of pq = 103×101 = 10403

So, the sum of the digits of the product pq = 1+0+4+0+3 = 8

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Answer:

\(g(2+h) = 3h^3+18h^2+36h+24\)

Step-by-step explanation:

\(g(x) = 3x^3\)

Putting x = 2+h

\(g(2+h) = 3(2+h)^3\\g(2+h) = 3[8+h^3+6h(2+h)]\)

\(g(2+h) = 3(8+h^3+12h+6h^2)\\g(2+h) = 24+3h^3+36h+18h^2\\\)

\(g(2+h) = 3h^3+18h^2+36h+24\)

Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .

Given ,

f(x) = \(4[(1/2)^{x}]\)

Mathematically the graph will of exponential in nature.

So,

Let us assume few values to understand the nature of graph.

Firstly,

Let x= 1

f(x) = \(4[(1/2)^{1}]\)

f(x) = 2

Let x = 2

f(x) = \(4[(1/2)^{2}]\)

f(x) = 1

Let x = 3

f(x) = \(4[(1/2)^{3}]\)

f(x) = 0.5

Thus from these values of f(x) corresponding to the values of x second graph will be correct .

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Answer:

I will translate and will be right with you

Step-by-step explanation:

I could offer a credit of $66.6.

A percentage is a number or ratio expressed as a fractin of 100. It is often denoted using a percent "%" sign.

The given bill of customer =  $333.0.

Credit can be given to customer = 20%

Now,I can credit a customers account up to 20% of full amount due

For credit off to be offer,we need to find 20% of $333

⇒  20% of $333 =  20/100*333

⇒  20% of $333 =  $66.6

Hence, I could offer a credit of $66.6

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Answer:

fourteen and one-hundred-two

Step-by-step explanation:

we tend to read "." as "point" but the proper reading would be to read the number left to the decimal point (14), add the word "and" and then read the number to the right of the decimal point (102)

Answer: Yes

Step-by-step explanation: Because of the gravity of the earth

Answer:

D.No, because the total earned is $1255.70 per month.

Step-by-step explanation:

Essentially if your cost is 1543 a month, you simply wouldn't be able to afford it.

If you plug in 7.25 and 40 (you get 290) . With this information we plug it into weeks. In a month there are approximately 4.345 weeks (you can just times 290 by

4.34) which gives the stated result in the answer choice.

A person would not be able to live here and cover other expenses if they worked 7.25 for 40 hours!

Answer:

511

Step-by-step explanation:

ok

Answer. i believe this is your answer 0.00051177072

Answer:

See explanation

Step-by-step explanation:

It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.

Answer:

5.4

Step-by-step explanation:

square of 29 = 5.385164807

5.385164807 estimated is 5.4

Answer:

a ) x = - 3, y = 5

x = 0, y = 2

x = 5, y = - 3

b ) you should draw the line by marking the coordinates in the graph, then draw a straight line passing through all those three points.

Step-by-step explanation:

y = 2 - x

When x = - 3,

y = 2 - x

= 2 - ( - 3 )

= 2 + 5

y = 7

When x = 0,

y = 2 - x

= 2 - 0

y = 2

When x = 5,

y = 2 - x

= 2 - 5

y = - 3

b ) you should draw the line by marking the coordinates in the graph, then draw a straight line passing through all those three points.

JUST put x and get y

#-3

\(\\ \rm\rightarrowtail y=2+3=5\)

#0

\(\\ \rm\rightarrowtail y=2-0=2\)

#5

\(\\ \rm\rightarrowtail y=2-5\)

\(\\ \rm\rightarrowtail y=-3\)

Answer: 32 Crocodiles

Step-by-step explanation:

Hippos 24/3=8

Crocodiles 8*4=32 (32 over 1)

32/24=4/3

Answer:

The answer is 75,474

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

-2x=5+3

-2x=8

x=-4

hope this helps!

Answer:

C. y=three-halves

Step-by-step explanation:

Answer:

I'm Pretty sure the answer is y=two-thirds x

Step-by-step explanation:

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

a¹⁰

Step-by-step explanation:

\((x^{m} )^{n} =x^{mn}\)  

So here we have (a⁵)², meaning we need to multiply the exponents to get a¹⁰

Answer:

B) (0,0)

Step-by-step explanation:

The only place the line even touches the x line is at (0,0)

Answer:

246.137

Step-by-step explanation:

246.13687 ≈ 246.137 (rounded to the nearest thousandth)

a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.

In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.

Counting these numbers, we find that there are 17 students who obtained more than 45 marks.

b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.

In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.

Counting these numbers, we find that there are 15 students who obtained less than 45 marks.

c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.

In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.

Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.

d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.

Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45

           = 1912

Total number of students = 40

Average marks = Total marks / Total number of students

                 = 1912 / 40

                 = 47.8

Therefore, the average marks obtained by the students in the class is 47.8.

e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.

In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,

49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.

Counting these numbers, we find that there are 40 students who obtained more than the average marks.

Answer:

A=3600(1-0.0675)^6=2366.985 km^2. After 6 years, the forest area will be 2,366.985 km^2.

Step-by-step explanation:

hope it helps you

Answer: *for 8* Yes, It is congruent by SAS.

Step-by-step explanation:

Since we know that LM and NM are congruent, and that angles LMP and NMP are congruent, then all we need to do is prove that MP is congruent to MP, and we can do that by saying that MP is congruent to MP using the reflexive property.

solve simultaneously

Step-by-step explanation:

make one of the equations x subject of the formula and the other equation y subject of the formula

y=8+2/5x....1

x=-5/3 + 2/3y.....2

substitute equation 1 into equation 2

x=5

y=10

Answer:

13.50=1.50+.6x

Step-by-step explanation:

13.50=1.50+ .6x

12=.6x

20=x

The value of the equation is 13.50 = 1.50 + 0.6m , where y is the total cost and x is the number of miles traveled and m = 20 miles

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the total cost of the taxi be represented as y

Let the number of miles traveled be represented as m

Now , the total cost = $ 13.50

The number of miles = m miles

The initial cost of taxi = $ 1.50

The cost per mile = $ 0.60

So , the equation is 13.50 = 1.50 + 0.6m

Subtracting 1.50 , we get

12 = 0.6m

Divide by 0.6 , we get

m = 20 miles

Hence , the number of miles is 20 miles

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Answer:

Step-by-step explanation:

\(Joseph = 33 \:years \:old\\ \\Let \: ann's \:age be x\\\\33-5 = 2x\\\\28 = 2x\\\\Divide \:both \:sides \:of \:the \:equation \: by \:2\\\\\frac{2x}{2} = \frac{28}{2} \\\\x = 14\\\\Ann's \:present \:age \:= 14\\\\In \:5 \:years \:time ; \\\\14+5 = 19\\\)

Answer:

0.6 = 60% probability that it is either sunny or rainy.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Rain

Event B: Sun

The chance of rain is 20%

This means that \(P(A) = 0.2\)

The chance of it being sunny is 60%

This means that \(P(B) = 0.6\)

The chance of it being sunny and rainy at the same time is 10%.

This means that \(P(A \cap B) = 0.1\)

Calculate, the probability that it is either sunny or rainy.

This is:

\(P = P(A) + P(B) - 2P(A \cap B) = 0.2 + 0.6 - 0.2 = 0.6\)

0.6 = 60% probability that it is either sunny or rainy.