hi pls help. pls explain a bit thank you:)

Hi Pls Help. Pls Explain A Bit Thank You:)

Answers

Answer 1

Answer:

[tex]a^3b^2c^6[/tex]

Step-by-step explanation:

[tex]n^x*n^y=n^{x+y}[/tex]

so

[tex]a^6*a^{-3}*a^0=a^{6-3+0}=a^3[/tex]

[tex]b^3*b^1*b^{-2}=b^{3+1-2}=b^2[/tex]

[tex]c^4*c^2=c^{4+2}=c^6[/tex]

put it all together

[tex]a^3b^2c^6[/tex]


Related Questions

What is the surface area of the cone?

Answers

Answer: C

Step-by-step explanation:

To find the surface area of a cone, you use the formula [tex]A=\pi r(r+\sqrt{h^2+r^2} )[/tex]. Since we are already given the height and radius, all we have to do is plug in the values and solve.

[tex]A=9\pi (9+\sqrt{41^2+9^2} )[/tex]       [solve inside of square root]

[tex]A=9\pi (9+\sqrt{1762} )[/tex]             [parenthesis]

[tex]A=9\pi (50.976 )[/tex]                   [multiply]

[tex]A=458[/tex]

Therefore, the closest answer is C.

Find the length of side x in simplest radical form with a rational denominator
Help please!

Answers

Answer:

x = 6

Step-by-step explanation:

x = 3 sin(90) / sin (30)

x = 3(1)/(1/2)

x = 3 ÷ [tex]\frac{1}{2}[/tex]

x = 6

geometry help translations

Answers

Answer:

A' (9,4)

B' (8,-1)

C' (5,1)

Answered by GAUTHMATH

Answer:

A' = 9,4

B' = 8,-1

C' = 5,1

Step-by-step explanation:

Rewrite the expression in the form a^n.
1/a^-5/6

Answers

Step-by-step explanation:

here's the answer to your question

Answer:

[tex]\frac{1}{a^{\frac{-5}{6} } }[/tex]

[tex]\frac{1}{a^{-n} }[/tex][tex]\frac{1}{a^{-5/6} } =a^{5/6}[/tex][tex]ans: a^{5/6}[/tex]

OAmalOHopeO

1. Resuelve las ecuaciones:

a. x2 + 12x + 32 = 0

b. 9x2 +6x + 1 = 0

2. Resuelve las ecuaciones:

a. 2x2 +5x = 0

b. 2x2 -32 = 0

3. Calcula el valor de m para que la ecuación x2 + mx + 9 = 0 tenga solución doble.

4. Resuelve las ecuaciones:

a. x4 - 25x2 + 144 = 0

b. x4 + 9x2 - 162 = 0
AYUDA ;v

Answers

Answer:

1. a) x1 = -8 y x2 = -4

b) x1 = -1/3

2. a) x1 = 0 y x2 = -5

b) x1 = 4 y x2 = -4

3. m debe ser 6. Asi tendriamos (x+3)²=0

4. a) x1 = 4, x2 = -4, x3 = 3 y x3 = -3

b) x1 = 3, x2 = -3 las otras dos raices son complejas.  

Step-by-step explanation:

1. a) [tex]x^{2}+12x+32=0[/tex]

Factorizando:

[tex](x+8)(x+4)=0[/tex]

Entonces: x1 = -8 y x2 = -4

4. a) x1 = 4, x2 = -4, x3 = 3 y x3 = -3

b) [tex]9x^{2}+6x+1=0[/tex]

Factorizando:

[tex](3x+1)(3x+1)=0[/tex]

[tex](3x+1)^{2}=0[/tex]

Entonces: x1 = -1/3

2. a) [tex]2x^{2}+5x=0[/tex]

Aplicando factor comun:

[tex]x(x+5)=0[/tex]

Entonces: x1 = 0 y x2 = -5

b)  [tex]2x^{2}-32=0[/tex]

Despejamos x.

[tex]2x^{2}=32[/tex]

[tex]x^{2}=16[/tex]

Entonces: x1 = 4 y x2 = -4

3. m debe ser 6. Asi tendriamos (x+3)²=0

4. a)  [tex]x^{4}-25x^{2}+144=0[/tex]

Hacemos cambio de variable: [tex]w=x^{2}[/tex]

[tex]w^{2}-25w+144=0[/tex]

Ahara podemos factorizar:

[tex](w-16)(w-9)=0[/tex]  

Usando el cambio de variable nuevamente.

[tex](x^{2}-16)(x^{2}-9)=0[/tex]    

Entonces los valores de x son: x1 = 4, x2 = -4, x3 = 3 y x3 = -3

b)  [tex]x^{4}+9x^{2}-162=0[/tex]

Hacemos cambio de variable: [tex]z=x^{2}[/tex]

[tex]z^{2}+9z-162=0[/tex]

Ahara podemos factorizar:

[tex](z-9)(z+18)=0[/tex]    

Usando el cambio de variable nuevamente.

[tex](x^{2}-9)(x^{2}+18)=0[/tex]            

Entonces los valores de x son: x1 = 3, x2 = -3 las otras dos raices son complejas.  

Espero ye haya servido!

What is [tex]\pi r^2[/tex] ?

Answers

Answer:

Area of a circle

Step-by-step explanation:

Where pie (3.14) is

Answer:

The formula to determine the area of the circle.

Step-by-step explanation:

Given a circle with centre O and radius 2.4cm. P is a point such that the lenght of the tengent from Q to the circle is 4.5cm. Find the lenght of OP

Answers

Answer:

5.1 cm

Step-by-step explanation:

(Probable) Question;

Given a circle with center O and radius 2.4 cm. P is a point on the tangent that touches the circle at point Q, such that the length of the tangent from P to Q is 4.5 cm. Find the length of OP

The given parameters are;

The radius of the circle with enter at O, [tex]\overline{OQ}[/tex] = 2.4 cm

The length of the tangent from P to the circle at point Q, [tex]\overline{PQ}[/tex] = 4.5 cm

The length of OP = Required

By Pythagoras's theorem, we have;

[tex]\overline{OP}[/tex]² = [tex]\overline{OQ}[/tex]² + [tex]\overline{PQ}[/tex]²

∴ [tex]\overline{OP}[/tex]² = 2.4² + 4.5² = 26.01

[tex]\overline{OP}[/tex] = √26.01 = 5.1

The length of OP = 5.1 cm

The slope of a line is 5/9 and the slope of another line is -975. The two lines
are

Answers

Answer:

the third option - they are perpendicular to each other.

Step-by-step explanation:

for a perpendicular slope we need to exchange the x and y values (remember, a slope is the ratio of y/x) and flip the sign.

and that is exactly what happened here.

c. Suppose you are given the functa. If f(x) = 10x − 1, the value of f(−2) is __________. b. If g(x) = −5x + 13, the value of g(1) is __________. c. If h(x) = x2 − x − 12, the value of h(3) is __________.ion h(x) = −2x + 3 and asked for h(4). This is the same as asking for the value of the function at x = __________.

Answers

Answer:

c. f(-2)= -21

b. g(x)=8

c. h(3)= -19

h(4)= -5

Step-by-step explanation:

Find the volume

Help me please

Answers

Answer:

54piecm^3

Step-by-step explanation:

pie x radius ^2 x h

= v

pie x 9

= 9pie x 6

= 54pie

Answer:

54pi cm^3

Step-by-step explanation:

V = (pi)r^2h
V = (pi)(3^2)(6)
V = (pi)(9)(6)
V = 54pi cm^3

HELP ME WITH THIS PROBLEM PLEASE!!

Answers

Answer:

w ≈ 33.9 in

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

w² + w² = 48²

2w² = 2304 ( divide both sides by 2 )

w² = 1152 ( take the square root of both sides )

w = [tex]\sqrt{1152}[/tex] ≈ 33.9 in ( to the nearest tenth )

Let f be the function defined as follows:1. If a = 2 and b = 3, is f continuous at x = 1? Justify your answer.2. Find a relationship between a and b for which f is continuous at x = 1.Hint: A relationship between a and b just means an equation in a and b.3. Find a relationship between a and b so that f is continuous at x = 2.4. Use your equations from parts (ii) and (iii) to find the values of a and b so that f is continuous at both x = 1 and also at x = 2?5. Graph the piece function using the values of a and b that you have found. You may graph by hand or use your calculator to graph and copy and paste into thedocument

Answers

Answer:

1. not continuous, as the function definitions deliver different function values at x=1 when approaching this x from the left and from the right side.

2.

2 = a + b

3.

0 = 2a + b

4.

a = -2

b = 4

Step-by-step explanation:

the function is continuous at a specific point or value of x, if the f(x) = y functional value is the same coming from the left and the right side at that point.

1. that means that for x=1

3 - x = ax² + bx

so,

3 - 1 = a×1² + b×1 = a + b

2 = a + b

we have to use a=2 and b=3

2 = 2 + 3 = 5

2 is not equal 5, so the assumed equality is false, so the function is not continuous there.

2. point 1 gave us already the working relationship between a and b.

2 = a + b

only if that is true, is the function continuous at x=1.

3. now for x=2

5x - 10 = ax² + bx

5×2 - 10 = a×2² + b×2 = 4a + 2b

10 - 10 = 4a + 2b

0 = 4a + 2b

0 = 2a + b

4. to find a and b to be continuous at both locations x=1 and x=2 both expressions in a and b must apply.

so, they establish a system of 2 equations with 2 variables.

2 = a + b

0 = 2a + b

a = 2 - b

0 = 2×(2-b) + b = 4 - 2b + b = 4 - b

b = 4

therefore

a = 2 - 4 = -2

5. I cannot draw a graph here.

just use now the function

3 - x, x < 1

‐2x² +4x, 1 <= x < 2

5x - 10, x >= 2

A club has 30 members. How many ways are there to select a President. Vice-
President and Secretary from this club? Assume no one can occupy more than one
position.

Answers

Answer:

Answer is 90 ways

Step-by-step explanation:

You multiply the members (30) by the number of positions (3) to get your answer

Javier jogs & of a -
mile in 8 minutes
how many minutes will
it take him to jog
1 mile?

Answers

Answer:

It will take him 10 minutes to jog 1 mile.

Step-by-step explanation:

can i have brianliest please

how can the graph of g(x) =x2+4 be obtained from the graph of f(x) =x2

Answers

Answer:

see explanation

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

The graph of g(x) is the graph of f(x) shifted up by 4 units

The arithmetic mean of 10 consecutive even integers is 3. What is the least of these 10 even integers?
PLS HELP WILL GIVE BRAINLIEST

Answers

Answer:

-6

Step-by-step explanation:

2n can be the smallest integer, and 2n + 18 will be the largest integer.

The sum of this, divided by two, will result in the average/mean.

(2n + 2n + 18)/2 = 3

Multiply each side by 2:

(2n + 2n + 18)/2 ⋅ 2 = 3 ⋅ 2

2n + 2n + 18  =  6

Combine the like terms:

4n + 18 = 6

Subtract 18 from both sides:

4n + 18 - 18 = 6 - 18

4n = -12

Divide each side by 4:

4n/4 = -12/4

n = -3

Since we decided to go by 2n:

2n = 2(-3) = -6

The perimeter of a rectangle is 24 cm. If the length is 7 cm, find it width​

Answers

Answer:

The width is 5 cm

Step-by-step explanation:

The perimeter of a rectangle is

P = 2(l+w)

Substitute what we know

24 = 2(7+w)

Divide each side by 2

24/2 = 2/2(7+w)

12 = 7+w

Subtract 7 from each side

12-7 = 7+w-7

5 =w

The width is 5 cm

The formula for perimeter = 2 x length  + 2 x width

Fill in the known dimensions:

24 = 2 x 7 + 2 x width

Simplify:

24 = 14  + 2 x width

Subtract 14 from both sides:

10 = 2 x width

Divide both sides by 2:

Width = 5 cm

Answer: Width = 5 cm.

If the point A at (5, 3) is rotated clockwise about the origin through 90°, what
will be the coordinates of the new point?

Answers

Answer:

(5,-3) in the 4th quadrant

Step-by-step explanation:

if the sum of an angle measures of a polygon with sides s is 2340, what is s​

Answers

Answer:

polygon is 15 side

Step-by-step explanation:

Here sum of interior angels is 2340 degrees. Therefore, the polygon is 15 side

what would be the u to usub and what would be the steps to solving this integral?

Answers

Presumably, ln⁵(x) is the same as (ln(x))⁵ (as opposed to a quintuply-nested logarithm, log(log(log(log(log(x)))))).

Then substituting u = ln(x) and du = dx/x gives

[tex]\displaystyle\int\frac{\mathrm dx}{x\ln^5(x)} = \int\frac{\mathrm du}{u^5} = -\frac1{4u^4}+C = \boxed{-\frac1{4\ln^4(x)}+C}[/tex]

A 42 inch wire is bent into the shape of a rectangle whose width is twice its
length. Set up an equation to find the length of the rectangle.

Answers

Answer: Choice A

2(2L + L)  = 42

=================================================

Explanation:

The length is L, which is some placeholder for a positive number.

The width is twice as much as this, so it's 2L

The perimeter is found by adding up the four sides (two of which are L, the other two are 2L)

So we have L+L+2L+2L = 2(2L+L) representing the perimeter.

Or we could use this formula

P = 2(L+W)

where L and W are the length and width respectively.

Either way, we end up with 2(2L + L) = 42

Answer:

42 = 2( l+2l)

Step-by-step explanation:

width = 2 length

Perimeter = 2 (l+w)

42 = 2( l+2l)

Divide each side by 2

42/2 = 2 (3l) /2

21 = 3l

Divide by 3

21/3 = 3l/3

7 = l

The length is 7

width is 2*l = 2*7 = 14

If the woman in the picture below measured the angle of elevation from herself to the top of castle and found it to be 64 degrees, and she also measured the distance from herself to the base of the castle as being 124 meters, what would the height of the castle be? (round to the nearest whole meter.)

Answers

Answer:

254m

Step-by-step explanation:

The setup will be in form of a right triangle. Hence;

The angle of elevation = 64degrees

distance from herself to the base of the castle = 124 meters (Adjacent)

Required

Height of the castle (Opposite)

Using the SOH CAH TOA identity

Tan theta = opp/adj

Tan 64 = H/124

H = 124tan64

H = 124(2.05030)

H = 254.23

H ≈ 254m

Hence the height of the castle to the nearest whole meters is 254metres

Ah(t)
1800-
A ball is dropped from a height of 1296 ft. Its height h,
in feet, after t seconds is given by h(t) = 1296 - 1612.
After how long will the ball reach the ground?
0 0
1296
0-
0
12
The ball will reach the ground in seconds.
(Type an integer or a simplified fraction.)

Answers

9 seconds, 9^2 = 81, 81 x 16 = 1296. 1296 - 1296 = 0 or when the ball has a height of zero from the ground.

Need answer for this

Answers

Answer:

A) R=1850-25t

B) 1700

C) 74

A group of 40 workers can do a construction in 16 days. When has elapsed 4 days, 10 workers retired. How many days of delay the construction will be delivered?

Answers

Answer:

4 days

Step-by-step explanation:

The time it would take the group of 40 workers to deliver the work, [tex]t_{estimated}[/tex] = 16 days

The number of workers that retired after 4 days = 10 workers

Therefore, the number of workers remaining = 40 - 10 = 30 workers

The time it would take 1 worker to do the work = The number of work days in the construction = 40 × 16 = 640 work days

The amount of work done in 4 days = 40 × 4 = 160 work days

The amount of work remaining after the elapsed 4 days = (640 - 160) work days = 480 work days

The number of days, n, it would take the remaining 30 workers to do the remaining work, is given as follows;

n = 480 work days/(30 workers) = 16 days

The actual total number of work days it took for the work to be delivered, [tex]t_{actual}[/tex] = 4 days + 16 days = 20 days

The number of days delay the construction will be delivered, [tex]t_{delay}[/tex], is given as follows = [tex]t_{actual}[/tex]

[tex]t_{delay}[/tex] = [tex]t_{actual}[/tex] - [tex]t_{estimated}[/tex]

∴ [tex]t_{delay}[/tex] = 20 days - 16 days = 4 days

The number of days delay the construction will be delivered,  [tex]t_{delay}[/tex] = 4 days

Find the value of the polynomial 5x – 4x^2 + 3 at x = 2 and x = –1​

Answers

Answer:

Let the polynomial be f(x) = 5x – 4x^2 + 3

Now, for x = 2,

f(2) = 5(2) – 4(2)^2 + 3

=> f(2) = 10 – 16 + 3 = –3

Or, the value of the polynomial 5x – 4x^2 + 3 at x = 2 is -3.

Similarly, for x = –1,

f(–1) = 5(–1) – 4(–1^)2 + 3

=> f(–1) = –5 –4 + 3 = -6

The value of the polynomial 5x – 4x2 + 3 at x = -1 is -6.

Answered by GAUTHMATH

Answer:

x=2 => 5×2 - 4×2² + 3 = 10-16+3 = -3

x=-1 => 5×-1 - 4×(-1)² + 3 = -5 - 4 + 3 = -6

Step-by-step explanation:

is in the answer.

remember that squaring a negative number creates a positive result.

What is the standard form of the ellipse equation
25x2 - 150x + 9y2 = 0?
O
(x - 3)2
32
y
1
+
52
0 (x - 5)
1
y2
22
(y - 3)2
22
0x2
+
14
1
O
x2
32
(y - 3)2
22
= 1

Answers

Answer: The correct answer is in the first option.

Step-by-step explanation:

Equation of an Ellipse

[tex]\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1\\\\25x^{2} - 150x + 9y^{2} = 0\\\\\text {Let's \: perform \: the \: transformations:}\\\\\dfrac{25x^{2} }{25 \cdot 9} -\dfrac{150x}{25 \cdot 9} +\dfrac{9y^{2} }{25 \cdot 9} =0\\\\\dfrac{x^{2} }{3^{2} } -\dfrac{6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } =0\\\\\dfrac{x^{2} -6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } +\dfrac{3^{2} }{3^{2} } -\dfrac{3^{2} }{3^{2} } =0\\\\\dfrac{x^{2} -6x+3^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =\dfrac{3^{2} }{3^{2} }[/tex]

[tex]\dfrac{(x-3)^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =1[/tex]

Can someone please help me out with a small explanation thank you :)

Answers

Step-by-step explanation:

1 . when we collect like terms we only focus on the variables and the power of the variable I f exist so in this question the answer is 8x^2 because both have the same variable and same power or exponent.

2. one term is monomial

two terms is binomial

3. b

4. -9

5. c

pls help me solve this multiplication fractions. (show work)​

Answers

Answer:

32:3/4

33:4/3

34:40

35:48

Answer:

32. 3/4
33. 4/3
34. 40
35. 384/7

Step-by-step explanation:

32. 9/10 • 5/6

Multiply 9 x 5/10 x 6

9 x 5/10 x 6 = 45/60

Then simplify 45/60 “by factoring out 45 and 60 and finding the Greatest Common Factor (GCF)”

45/60 = 3/4

•••••••••••••••••••••••••••••••••••••••••••••••••••

33. 16/21 • 7/4

Multiply 16 x 7/21 x 4

16 x 7/21 x 4 = 112/84

Then simplify 112/84 “by factoring out 112 and 84 and finding the Greatest Common Factor (GCF)”

112/84 = 4/3

•••••••••••••••••••••••••••••••••••••••••••••••••••

34. 8 4/7 • 4 4/6

Multiply 7 by 8 and add 4

7 x 8 + 4 = 60

Then add the denominator back

60/7

Multiply 6 x 4 and add 4

6 x 4 + 4 = 28

Then add the denominator back

28/6

We’re left with 60/7 • 28/6

Multiply 60 x 28/7 x 6

60 x 28/7 x 6 = 1680/42

Then simplify 1680/42 “by factoring out 1680 and 42 and finding the Greatest Common Factor (GCF)”

1680/42 = 40

••••••••••••••••••••••••••••••••••••••••••••••••

35. 7 4/8 • 6 2/5

Multiply 8 by 7 and add 4

8 x 7 + 4 = 60

Then add the denominator back

60/7

Multiply 5 x 6 and add 2

5 x 6 + 2 = 32

Then add the denominator back

32/5

We’re left with 60/7 and 32/5

Multiply 60 x 32/7 x 5

60 x 32/7 x 5 = 1920/35

Then simplify 1920/35 “by factoring out 1920 and 35 and finding the Greatest Common Factor (GCF)”

1920/35 = 384/7

••••••••••••••••••••••••••••••••••••••••••••••••

please mark me as brainliest! This took me effort

Does this graph show a function? Explain how you know.

Answers

Answer:

A is the correct one

cause according to function rule the vertical line should cut only on a one point to be function

as here we can see that vertical line cuts here at two point

Other Questions
A cell undergoes cytokinesis after meiosis I. What step happens next? MC Qu. 133 Cahuilla Corporation predicts... Cahuilla Corporation predicts the following sales in units for the coming four months: April May June July Sales in Units380 420 440 380 Each month's ending Finished Goods Inventory should be 40% of the next month's sales. March 31 Finished Goods inventory is 152 units. A finished unit requires 5 pounds of direct material B at a cost of $2.00 per pound. The March 31 Raw Materials Inventory has 230 pounds of B. Each month's ending Raw Materials Inventory should be 30% of the following month's production needs. The budgeted purchases of pounds of direct material B during May should be: consider the following thermochemical reaction for kerosene 2C12H26+37O2=24CO2+15026kj. a. when 21.3g of CO2 are made, how much heat is released?b. if 500.00kj of heat are released by thye reaction, how many grams of C12H26 have been consumed.?c. if this reactionwere being used to generate heat, how many grams of C12H26 would have to be reacted to generate enough heat to raise the temperature of 750g of liquid water from 10 degrees celcius to 90 degrees celcius Civil DisobediencePart 2:Thoreaus ideas had a profound effect on a man named Gandhi. Gandhi, was a leader in India who worked to end British rule. He led India to independence and inspired many to non-violent forms of protest and resistance. He fought to end poverty, worked to expand women's right to vote, and built bridges between ethnic and religious groups. Like Thoreau, he lived simply, owned very little, and ate a vegetarian diet. In India, Gandhi's form of protest was called the "non-cooperation movement." He urged Indians to boycott British education systems and leave government jobs. The movement was very popular, and in part to stop its spread, the British controlled government arrested him. After a few years, he was released and became active in politics again. He inspired many to follow him on marches to protest various taxes. On one such march, thousands followed him 240 miles over 24 days to the sea to protest a salt tax. This march set the example of non-violent resistance to the government that others in the country followed. Eventually India won independence from Britain, in large part because of Gandhi work.Gandhi's model of resistance and reform was creative, appealing, and successful. As a result, Dr. Martin Luther King looked to Gandhi when the time came to find a way to resist segregation in the South. The lunch counter protests, famous for the passive response to anger, and even violence, aimed to end the separation enforced by laws in some regions of the South. King also organized walks, marches, and bus rides that were meant to bring attention to the issues facing African Americans. These forms of protest were directly modeled on Gandhi's, but King took them straight to the source of oppression. Where Gandhi's protests created awareness and built momentum, King's protests were in the face of great hatred and fear. The passive, non-violent protests were ultimately effective, mainly because the passive response to violence cast the opposition as brutes. However, change came slowly and at the cost of many lives. King remained committed to peaceful protest, however, until his death. King learned from Gandhi, expanding on what worked, applying old techniques to a new problem. Gandhi owed his philosophy, in part, to a New England poet who loved the woods.Based on the bolded paragraph, which line shows the success of Gandhi work? Eventually India won independence from Britain, in large part because of Gandhi work. After a few years, he was released and became active in politics again. thousands followed him 240 miles over 24 days to the sea to protest a salt tax. Like Thoreau, he lived simply, owned very little, and ate a vegetarian diet. What did Columbus and the experts disagree about?how many ships were needed to safely make the voyagehow far it was from Europe to Asia going west from Europewhether the world was flat 3. In A PQR, MZP=(4x-5),m2Q=(8x-50), and MZR=(3x+10).Which of the following best describesAPQR? Right triangle Isosceles triangle Equlateral triangleScalene triangle A student observes that an organism is green a valid conclusion that can be drawn from this observation is that please help me!! how many times does 10% go into 34,950,101? A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way trip is 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trip times to be normally distributed. (a) What is the probability that a trip will take at least hour?(b) If the office opens at 9:00 A.M. and he leaves his house at 8:45 A.M. daily, what percentage of the time is he late for work?(c) If he leaves the house at 8:35 A.M. and coffee is served at the office from 8:50 A.M. until 9:00 A.M., what is the probability that he misses coffee?(d) Find the length of time above which we find the slowest 10% of trips.(e) Find the probability that 2 of the next 3 trips will take at least one half1/2 hour. A welding drawing shows that the weld-root reinforcement cannot exceed " in thickness. Your weld measurement tools are metric, so this value needs to be converted to millimeters. You know that one inch equals 2.54 centimeters. What is the maximum weld-root reinforcement allowed in millimeters? Round your answer to the nearest tenth of a millimeter. I NEED HELP QUICK PLEASE! D:Jamie is taking the tests needed to join the math group. His scores were 89, 92, 94. What's the lowest score he can get on the fourth test and still have a 90 average? I need help this is confusing to me The market for fertilizer is perfectly competitive. Firms in the market are producing output but are currently making economic losses. Which of the following statements is true about the price of fertilizer? Check all that apply. The price of fertilizer must be greater than average total cost. The price of fertilizer must be greater than average variable cost. The price of fertilizer must be greater than marginal cost. Find the length of the third side. If necessary, round to the nearest tenth.2028Answer:Submit Answerattempt 1 out of 2PLS HELP ASAP Combine and simplify these radicals. 160 40I AM TIMED!!! of 20 >Which of the statements concerning retirement accounts is true?A.)Since Roth IRAs are funded with post-tax dollars, they are never as attractive as pre-tax traditional IRAs.B.)Contributions to personal retirement accounts remain the property of the individual or heirs, but Social Securitypayments are transferred to others.C.)Individuals can allocate the funds in IRAs, 401(k)s, Roth IRAs, and Social Security accounts according to their risk preferences.D.)Individuals do not pay income tax on Social Security contributions, but there are no tax benefits tied to personalretirement accounts. are big business /monopoliws good for society or bad and why What effect did trade have on the Minoan civilization? A student was given a solid containing a mixture of nitrate salts. The sample completely dissolved in water, and upon addition of dilute HCl , no precipitate formed. The pH was lowered to about 1 and H2S was bubbled through the solution. No precipitate formed. The pH was adjusted to 8 and H2S was again bubbled in. This time, a precipitate formed. Which compounds might have been present in the unknown?a. Ca(NO3)2b. AgNO3c. Fe(NO3)3d. Cr(NO3)3e. Cu(NO3)2f. KNO3g. Bi(NO3)2 if PQR measures 75 , what is the measure of SQR