An elevator descends into mine shaft at the rate of 6m/min. If the descend starts from 10m above the ground level , how long will it take to reach the shaft which is 350m below the ground level?

Answer:

3x-x+2=12

2x+2=12

2x = 10

x=5

Answer:

d

Step-by-step explanation:

Given

3x - x + 2 = 12, that is

2x + 2 = 12 ( subtract 2 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

x=14

Step-by-step explanation:

1[tex]\sqrt{x+2}[/tex] +2 = 6 --------------- put nums on 1 side

1[tex]\sqrt{x+2}[/tex] = 4 -------------------by the way, 1

[tex]\sqrt{x+2}[/tex]  =4 ------------- square both sides

x+2 = 16 --------------- subtract 2 from both sides

x = 14

Answer: The number 99.4177 rounded to the nearest hundredth is 99.42.

Step-by-step explanation:

Here's how I got my answer:

Since you need to round to the nearest hundredth, then round to the first two decimal places. So if the number is 5 or greater, then round up. If the number is 4 or lesser, then do not round up.

In this scenario:

99.4177

Round the 1 in the hundredths place up to 2, because 7 is on the greater end. Since they are just asking you for the hundredths place, then do not round anything else.

Hence, your final answer is 99.42.

Answer:

D. The oldest is 92 youngest 49

Step-by-step explanation:

we can get the answer by pairing each of the values on the left hand side that is these values 4 5 6 7  9 with values on the right.

the first age from the top row is 49 the second is 49

from the second row it is 50 50 51 51 52 5 59

from the 3rd row 61 62 63 64 64 65 6

from the forth row t s 71 72 73 73 74 75 7

from the fifth row it is 80 81 83 87

from the sxth row it is 91 92.

each of the numbers  have just written out represents age. the oldest age there is 92 whle the youngest s 49. It is simply each number under attorney paired wth stem to make a number.

I added an attachment with the pairing

Answer:

256x^8

Step-by-step explanation:

Answer:

4:5

Step-by-step explanation:

Davina received 50 votes

Binh reveived 40 votes

It asked for ratio of Binh’s votes to Davina’s

so the ratio is first Binh's 40 to Davina's 50     that's 40 to 50

It want it in simplest form so you find the greatest common factor of 40 and 50 which is 10.

40/10 and 50/10 is 4 to 5

So the answer is 4:5(The ":"  means  "to")

The ratio of Binh’s votes to Davina’s votes is 4:5

The comparison of two numbers or quantities by division is known as the ratio.

Given that, In the student council election, Davina received 50 votes, Binh received 40 votes and Eden received 80 votes.

Required ratio = Binh’s votes \ Davina’s votes  

= 40/50

= 4/5

Hence, The ratio of Binh’s votes to Davina’s votes is 4:5

For more references on ratios, click;

https://brainly.com/question/13419413

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Answer:

0.137.

Step-by-step explanation:

Given that

Sample size = 1100

Afraid to fly = 10 %

Mean = n x p

Mean = 1100 x 0.1 = 110

Variance = n p q

Variance = 1100 x 0.1 x 0.9 = 99

Standard deviation = [tex]\sqrt{n\times p\times q}[/tex]

S.D.=[tex]\sqrt{1100\times 0.1\times 0.9}[/tex]

S.D.=9.94

By using Normal distribution

[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

[tex]Z=\dfrac{121-110}{9.94}[/tex]

Z=1.16

[tex]P(X>121)=P(Z>1.16)=1-0.8643\\P(X>121)=0.137\\[/tex]

Thus the answer will be 0.137.

Answer:

x ≤ 3

we have to transpose -7 from left to right

Answer:

Tyler had 7/12  pound of trail mix

He ate 4/12 of it i.e

7/12-4/12=7-4/12

3/12=1/4

He has 1/4 of trial mix left

I'm not sure what you're really talking about.

But I think you are talking about fractions.

In fractions there are two places

The number that goes on the top is numerator.

Answer:

(4, 1 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 11 → (1)

x - 3y = 1 → (2)

Adding (1) and (2) term by term will eliminate the term in y

3x = 12 ( divide both sides by 3 )

x = 4

Substitute x = 4 into either of the 2 equations and evaluate for y

Substituting into (1)

2(4) + 3y = 11

8 + 3y = 11 ( subtract 8 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

Solution is (4, 1 )

he got 0.08 percent questions correct

Answer:

72%

Step-by-step explanation:

A percentage is a number out of 100.  For example, 32/100 is 32%.  What you want to do with percentages is multiply the denominator of a fraction so it becomes 100 and multiply that same number to the numerator.  Sort of like a ratio!

If Mark got 18/25, we can multiply 25 by 4 to get 100 as the denominator.

Since you multiplied the denominator by 4, you have to multiply the numerator by 4 as well.  

18 times 4= 72.  So the numerator is 72 and the denominator is 100.  The fraction is 72/100, which is 72% since it is out of 100.

Answer:

19

Step-by-step explanation:

10 + 9 = 19. If you look at how many students are above the "30 mark", you will count 10 on the first bar and 9 on the second.

Answer:

see below

Step-by-step explanation:

1 million

1,000,000 seconds * 1 hour/ 3600 seconds * 1 day/ 24 hours * 1 year / 365 days

.031709792 years

Rounding to 3 decimal places

.032 years

50 years * 365 days/ 1 year * 24 hours/ 1 day * 3600 second / 1 hour    

1577000000 seconds    

46 inches * 1 ft/ 12 inches *  1 mile/5280 ft

0.000726 miles

Answer:

68.67

Step-by-step explanation:

Round 8.8% to 9%.

multiply 63.00*0.09=68.67

Answer:

$5.54

Step-by-step explanation:

how i found it out

63×.088=5.54

Answer:

11

Step-by-step explanation:

Hello,

Given the original number n.

[tex]\large \boxed{n}[/tex]

Multiply the number by 9.

[tex]\large \boxed{9n}[/tex]

Add 99.

[tex]\large \boxed{9n+99}[/tex]

Divide this sum by 9.

[tex]\large \boxed{\dfrac{9n+99}{9}=n+11}[/tex]

Subtract the original number, n, from the quotient.

[tex]\large \boxed{n+11-n=11}[/tex]

Thank you.

Answer:

The  probability is  [tex]P(\$20,000 < X < \$35,000) = 0.6[/tex]

Step-by-step explanation:

From the question we are told that

     Workers' salaries in your company are uniformly distributed between $15,000 and $40,000 per year

  Generally the probability that a randomly chosen worker earns an annual salary between $20,000 and $35,000 is mathematically represented as

        [tex]P(\$20,000 < X \$35,000) = \frac{ 35000 - 20000}{ 40000 - 150000}[/tex]

  => [tex]P(\$20,000 < X < \$35,000) = 0.6[/tex]

Using the uniform distribution, it is found that there is a 0.6 = 60% probability that a randomly chosen worker earns an annual salary between $20,000 and $35,000.

An uniform distribution has two bounds, a and b.  

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

In this problem, uniformly distributed between $15,000 and $40,000, hence [tex]a = 15, b = 40[/tex].

The desired probability is:

[tex]P(20 \leq X \leq 35) = \frac{35 - 20}{40 - 15} = 0.6[/tex]

0.6 = 60% probability that a randomly chosen worker earns an annual salary between $20,000 and $35,000.

A similar problem is given at https://brainly.com/question/13547683

Answer:

a. x = -2

Step-by-step explanation:

64ˣ = 16⁽ˣ⁻¹)

64 = 4³

16 = 4²

4³⁽ˣ⁾ = 4²⁽ˣ⁻¹)

4³ˣ = 4²ˣ⁻²

3x = 2x - 2

x = -2

Answer:

[tex]\huge \boxed{x=-2}[/tex]

Step-by-step explanation:

64^x = 16^(x-1)

Rewrite the bases with base of 4.

(4^3)^x = (4^2)^(x-1)

Multiply exponents.

4^(3x) = 4^(2(x-1))

Cancel same bases.

3x = 2(x-1)

Expand brackets.

3x = 2x - 2

Subtract 2x from both sides.

x = -2

Answer:  x = 34

Step-by-step explanation:

⁴ ⁻ˣ/₅ + ˣ + 2/₃ = 6

Now resolve into fraction and convert to a linear equation

4 - x /₅ + x + 2/₃ = 6

3( 4 -x ) + 5( x + 2 )/15 = 6

3( 4 - x ) + 5( x + 2 )    = 6 x 15

12 - 3x + 5x + 10         = 90

        2x + 22              = 90

                             2x  = 90 - 22

                             2x  = 68

                                x = 34

Answer:

7x - 3

hoped i helped

The final expression after applying the distributive property is 7x-3

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given here: The expression as 4+7(x-1)

The distributive property tells us how to solve expressions in the form of a(b + c).  

Now applying distributive property and solving for like terms we get :

4+7(x-1) =4+7x-7

            =7x-3

Thus the distributive property rule of real numbers is used to simplify the given expression.

Hence, The final expression after applying the distributive property is 7x-3

Learn more about the distributive property here:

https://brainly.com/question/5637942

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Answer:

X/y = 2/5

Y= x+12

Where y = students

X= adults

Number of adults= 8

Number of students= 20

Step-by-step explanation:

The ratio of adults to students on a class field trip is 2 to 5. If there are 12 more students than adults.

Let adult be x

Let student be y

X/y = 2/5

5x= 2y.... equation one

Y= x+12..... equation two

Substituting equation two into equation one

5x= 2(x+12).

5x = 2x +24

3x= 24.

X= 8

Y= x+12

Y= 8+12

Y= 20

Number of adults= 8

Number of students= 20

Answer:

Step-by-step explanation:

Given the differential equation dy/dx = 5y/x subject to the condition y = 4 and x = 1. Using the variable separable method of solving differential equation, we will have;

dy/dx = 5y/x

Separate the variables

dy/5y = dx/x

Integrate both sides of the expression

[tex]\frac{1}{5}\int\limits \frac{1}{y} \, dy = \int\limits \frac{dx}{x} \\ \\\frac{1}{5}lny = lnx + C\\\\lny = 5lnx+5C\\[/tex]

using the initial condition y = 4 while x = 1

ln4 = 5ln1 + 5C

ln4 = 0+5C

C = ln4/5

Substituting the value of C back into the expression;

[tex]lny = 5 lnx+5(ln4/5)\\lny = 5lnx+ln4\\lny = lnx^5+ln4\\lny = ln(4x^5)\\y = 4x^5[/tex]

Hence the solution to the differential equation is y = 4x⁵

b) Given 4(du/dt) = u²

du/dt = u²/4

du/ u² = dt/4

u⁻²du = 1/4 dt

integrate both sides of the equation

[tex]\int\limit {u^{-2}} \, du = \int\limits\frac{1}{4} \, dt\\\\\frac{u^{-1}}{-1} = \frac{t}{4} + C\\\\\frac{-1}{u} = \frac{t}{4} + C[/tex]

Imputing the initial condition u(0) = 7 i.e when t = 0, u = 7

[tex]\frac{-1}{7} = \frac{0}{4} + C\\\\\frac{-1}{7} = C\\[/tex]

[tex]\frac{-1}{u} = \frac{t}{4} - \frac{1}{7}[/tex]

Hence the solution to the DE is [tex]\frac{-1}{u} = \frac{t}{4} - \frac{1}{7}[/tex]

Answer:

n = 2

Step-by-step explanation:

- 6n - 2n = 16

- 8n = 16

n = 16/-8

n = -2

Answer:

[tex] - 6n \: - 2n \: = 16[/tex]

[tex] = ) - 8n \: = 16[/tex]

[tex] = )n \: = \frac{16}{ - 8} [/tex]

[tex] = )n \: = - 2[/tex]

Answer:

274.556 degrees to the nearest thousandth.

Step-by-step explanation:

33 ' = 33/60 = 0.55 degrees.

23" = 23/60 minutes

= 23/60 / 60 = 0.00639 degrees

So the answer is 274 + 0.55 + 0.00639 degrees

=

274.55639 degrees.

Looks like the integral is

[tex]I=\displaystyle\int (4x-6)(x^2-3x+1)^5\,\mathrm dx[/tex]

If you we substitute [tex]y=x^2-3x+1[/tex] and [tex]\mathrm dy=(2x-3)\,\mathrm dx[/tex], we get

[tex]I=\displaystyle2\int(2x-3)(x^2-3x+1)^5\,\mathrm dx=2\int y^5\,\mathrm dy[/tex]

Now use the power rule, and replace y accordingly:

[tex]I=\dfrac{2y^6}6+C=\dfrac{y^6}3+C=\boxed{\dfrac{(x^2-3x+1)^5}3+C}[/tex]

Answer:

[tex] {4}^{x - 1} = \frac{49}{4} [/tex]

Step-by-step explanation:

My work is in the attachment but I essentially used a hefty bit of Algebraic manipulation to turn 2^x into 4^(x-1) and then isolating that bit.

Comment if you have any questions.

Answer:

49/4

Step-by-step explanation:

4^x-1 = (2^x)^2/4 = 7^2/4 = 49/4

They are called coterminal angles.

Answer:

It's coterminal

Step-by-step explanation:

Same initial

Answer:

2000 kilograms

Step-by-step explanation:

Step-by-step explanation:

To find the distance between two points, we have to use the distance formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

Let's solve for line PQ first. We plug in the points into the formula and solve from there.

P: (-5, 1)

Q: (-2, -5)

[tex]PQ=\sqrt{(-2+5)^2+(-5-1)^2 }[/tex]

[tex]PQ=\sqrt{(3)^2+(-6)^2 }[/tex]

[tex]PQ=\sqrt{9+36}[/tex]

[tex]PQ=\sqrt{45}[/tex]

[tex]PQ=3\sqrt{5}[/tex]

Now, let's solve line ML.

M: (5, 3)

L: (2, -3)

[tex]ML=\sqrt{(2-5)^2+(-3-3)^2 }[/tex]

[tex]ML=\sqrt{(-3)^2+(-6)^2}[/tex]

[tex]ML=\sqrt{9+36}[/tex]

[tex]ML=\sqrt{45}[/tex]

[tex]ML=3\sqrt{5}[/tex]

Answer: 3√5, 3√5, yes, they are congruent.