Two Mechanics Worked On A Car. The First Mechanic Worked For 5 Hours, And The Second Mechanic Worked (2023)

Now, we have the sequence :

It implies 5 multiples of 9

At a glance : {90, 99, 108, 117, 126}

Mahtematical and statistical reasoning makes it evident that there is a mistake in the writing of the question and the digits were duplicated. So the right question is:

"You need to have a password with 5 letters followed by 3 odd digits between 0 and 9, inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your passwor?"

The solution is:

5 letters from 26 with no repetition => 26*25*24*23*22 different choices.

odd digits are 1, 3, 5, 7 and 9 => 5 different digits to choose

3 digits from 5 with no repetition => 5*4*3 = 60

Then, the total number of choices is: 26*25*24*23*22*60 = 473,616,000

Answer: 473,616,000 choices.

The hikers are 2064 m apart

The situation forms two right angle triangle.

Right angle triangle:

A right angle triangle has one of its sides as 90 degree.

Therefore,

First hiker distance

tan 37 = opposite / adjacent

tan 37° = 525 / x

x = 525 / tan 37

x = 696.711059326

x = 696. 711 m

Second Hiker distance:

tan 21 = 525 / y

y = 525 / tan 21

y = 1367.68613557

y = 1367.686 m

Distance apart = 696.711 + 1367.686 = 2064.39713557 = 2064 m

learn more on angles of depression here: brainly.com/question/10207139

For the hiker whose angle of depression is 37°, you can write:

tan (37°) = 525m / x , where x is the horizontal distance from the hiker to the landmark

=> x = 525 / tan(37) = 696.7m

For the hiker whose angle of depression is 22°, you can write

tan (22°) = 525m / y, where y is the horizontal distance from the hiker to the landmark

=> y = 525m / tan(22) = 1,299.4 m

The distance that separate both hikers is x + y = 696.7 + 1,299.4 = 1,996.1m ≈ 1,996m (rounded to the nearest whole meter)

Answer: 1996m

Acritical valueis the point on the scale of the test statistic (z test in this case) outside which we reject the null hypothesis, and is taken from the level of significance of the test. The critical values can be obtained from the standard distribution tables for z and for this case, it is equivalent to:

critical value zα/2 at 98% confidence level = 2.326

Answer: 2.326

Answer:

2.33

Step-by-step explanation:

X + y = 61
y - 3x = 5...y = 3x + 5

x + (3x + 5) = 61
4x + 5 = 61
4x = 61 - 5
4x = 56
x = 56/4
x = 14

y - 3x = 5
y - 3(14) = 5
y - 42 = 5
y = 42 + 5
y = 47

ur 2 numbers are 14 and 47

The number of 18 inches of wreaths sold was 9 while 22 inches were 51.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say a number of 18 inches of wreaths is x while 12 inches is y.

Given that,

In one day, the number of 22-inch wreaths sold was six more than five times the number of 18-inch wreaths.

So,

y = 5x + 6

And

Total amount

15x + 35y = 1920

⇒ 3x + 7y = 384

By substitution,

3x + 7(5x + 6) = 384

38x = 342

x = 9

So y = 5(9) + 6 = 51

Hence "The number of 18 inches of wreaths sold was 9 while 22 inches were 51".

For more about the equation,

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The given question is incorrect, the correct question is ;

A store sells two sizes of fresh wreaths. An 18-inch wreath costs $15, and a 22-inch wreath costs $35. In one day, the number of 22-inch wreaths sold was six more than five times the number of 18-inch wreaths, for a total of $1920. How many of each were sold? .... The number of 18-inch wreaths sold was and the number of 22-inch wreaths sold was

X = 18 inch wreath, y = 22 inch wreath

15x + 35y = 820
y = 2x + 4

15x + 35(2x + 4) = 820
15x + 70x + 140 = 820
15x + 70x = 820 - 140
85x = 680
x = 680/85
x = 8

This is the concept of trigonometry, to solve for the value of x we proceed as follows;
sin5x+sinx=sin3x
this can be written as:
(sinx)^5+sinx=(sinx)^3
dividing through by sin x we get:
(sinx)^4+1=(sinx)^2
let y=(sinx)^2
thus our expression will be given by:
y^2+1=y
y^2-y+1=0
solving the quadratic equation above we get:
y=(-1)^(1/3) or -(-1)^(2/3)
the above is a complex equation, therefore our expression has no defined answer

Answer:

True

Step-by-step explanation:

By the distance formula,

The distance between two points and is,

Here, , , and

Thus, the distance would be,

= the square root of

The answer is True because the distance formula is √(x2-x1)²+(y2-y1)²

TRUE

Answer:

Lana Powell has cumulative earnings of $110,000 at the end of September. In the first week in October she earns $2,000. The amount deducted for Social Security and Medicare from her check is (assume Social Security rate of 6.2% on $110,100 and Medicare of 1.45%):

Step-by-step explanation:

In the first week of October on the $ 2,000, we must deduct the two expenses, that of 6.2% and 1.45%, and then add them between them and subtract them from the $ 2000.

It would be the following: 2000 x 6.2% = $ 124; 2000 x 1.45% = 29; 124 + 29 = $ 153 is the amount to be deducted from the $ 2,000; $ 2000 - $ 153 = $ 1847.

(2300 / 4500) * 100 = 51.1%

Hope this helps! :)

The sum of a geometric sequence where the first term is a1 and the common ratio is r and n is which term is

so
given first term of 10 and common ratio 4 and n=10

Well the absolute value of 10 is 10 and 8+10 would be 18

Answer: 18

Hope this helped :)
Please give brainliest

"g is 8 more than w" means
g = 8 more than w
g = 8+w
g = w+8

"g is also 4 less than w" means
g = 4 less than w
g = w-4

The two equations are therefore:
g = w+8
g = w-4

which means the answer is choice C

Answer:

The answer is C.

g = w + 8

g = w − 4

Hope This Helps!

A.
the radicand is b²-4ac
if it is in form ax²+bx+c

when it is
greater than 0, then 2 real roots
equal to 0, then 1 real root
less than 0, then no real roots

so
a=4
b=-12
c=10

b²-4ac=(-12)²-4(4)(10)=144-160

Answer: 21 seconds

Step-by-step explanation:

We know that a parabola with equation attains its maximum height at :-

The given function:

It will attain its maximum height at :

Hence , after 21 seconds the projectile will reach its maximum height .

It will reach its maximum height at the vertex of the parabola. Which is always:

(-b/(2a), (4ac-b^2)/(4a))

So the time when this occurs is the x coordinate, or t in this case.

-b/(2a), and b=672 and a=-16 so

t=-672/-32

t=21 seconds