help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The actual area represented by 3.5-inches-by-10-inches on map is 995.5 miles.

As the measure of 3/4 inch is provided, working out the calculation for 1 inch.

3/4 inch = 4 miles

1 inch = (4×4)/3

1 inch = 16/3

1 inch = 5.33 miles

Now, the actual area of the region = 3.5 × 10

The actual area of the region = 35 inches²

Converting the area in square miles

The actual area of the region = 35 × (5.33)²

Taking square on Right Hand Side of the equation

The actual area of the region = 35 × 28.4

Performing multiplication on Right Hand Side of the equation

The actual area of the region = 995.5 square miles

Thus, the actual area of the region is 995.5 square miles.

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The mean of the triangular dots is 4, the median is 8 and the range is 6.

How to determine the Measures of central tendency?

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within the given set of data.

From the question, the parameters are dots that will form triangle as

                  .

             .   .    .

         .    .    .   .    .

      .   .   .     .   .    .   .

Total mumber of dots is 1+3+5+7=16

These parameters are represented as follows:

The mean is the average of all the dots that formed the triangle

Mean value of the set of data = [tex]\frac{16}{4} =4[/tex]

The median is the middle number when arranged in ascending or descending order of magnitude

The median is [tex]\frac{16}{2} =8[/tex]

The range is the highest value minus the lowest value in the dots

The range is 7-1=6

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a) Amount of sugar in the tank initially is 0.

b) The amount of sugar in the tank after t minutes is 13.6(1 - [tex]e^{\frac{4t}{1360} }[/tex]).

c) The concentration of sugar in the solution in the tank after 60 minutes is 3.672.

a) Assign the sugar content of the tank for time t to the symbol A(t). Starting with only clean water, the tank

A(0) = 0

b) Sugar flows in at a rate of

(0.02 kg/L) × (2 L/min) = 0.04 kg/min

and flows out at a rate of

(A(t) ÷ 1360 kg/L) × (2 L/min) = (2A(t) ÷ 1360) kg/min

so that the net rate of change of A(t) is governed by the ODE,

dA(t) ÷ dt = (4 ÷ 100) - (2A(t) ÷ 1360)

A'(t) + (2A(t) ÷ 1360) = 2 ÷ 100

Multiply both sides by the integrating factor [tex]e^{\frac{4t}{1360} }[/tex] to condense the left side into the derivative of a product:

[tex]e^{\frac{4t}{1360} }[/tex] A'(t) + (2 [tex]e^{\frac{4t}{1360} }[/tex] A(t) ÷ 1360) = 4 [tex]e^{\frac{4t}{1360} }[/tex] ÷ 100

( [tex]e^{\frac{4t}{1360} }[/tex] A(t))' = 4 [tex]e^{\frac{4t}{1360} }[/tex] ÷ 100

Integrate both sides:

[tex]e^{\frac{4t}{1360} }[/tex] A(t) = ∫ 4 [tex]e^{\frac{4t}{1360} }[/tex] ÷ 100

[tex]e^{\frac{4t}{1360} }[/tex] A(t) = 13.6 [tex]e^{\frac{4t}{1360} }[/tex] + C

Solve A(t);

A(t) = 13.6 + C [tex]e^{\frac{4t}{1360} }[/tex]

A(0) = 0, substitute the value

0 = 13.6 + C [tex]e^{\frac{4t}{1360} }[/tex]

C = -13.6

so that the amount of sugar at any time t is,

A(t) =  13.6 - 13.6[tex]e^{\frac{4t}{1360} }[/tex]

A(t) = 13.6(1 - [tex]e^{\frac{4t}{1360} }[/tex])

c) As t → 60, the exponential term converges to 0 and is left with

[tex]\lim_{t \to \(60}[/tex] A(t) = 13.6 × (1 - 0.73)

[tex]\lim_{t \to \(60}[/tex] A(t) = 3.672 kgs of sugar.

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The probability of having at least one employee not have a college degree is 0.595

Here it is given that the 74% of employees have a college degree.

Hence, the probability of one employee having a college degree is

74/100

= 0.74

The probability that an employee does not have a college degree is

1 - 0.74

= 0.26

Hence

The above problem is clearly a Binomial distribution. with n = 120 and p = 0.26

"success" is when one employee does not have a college degree.

Therefore the probability that at least 1 employee does not have a college degree is

P(X≥1)

= 1 - P(X = 0)

A binomial distribution with sample n and probability p has a PMF

ⁿCₓ  X  pˣ X  (1 - p)ⁿ⁻ˣ

where x is a random variable

Here

n = 3

p = 0.28

x = 0

Hence we get

³C₀  X  0.26⁰ X  (0.74)³

0.405

Therefore,

P(X≥1)

= 1 - 0.405

= 0.595

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Answer:

e)times by 10

Step-by-step explanation:

collects like term

?=x

x=460÷46

=10

The relationship is not a proportional relationship between S and w.

Saving, S, after w weeks, is represented by the equation

S = 50+45w

If y is proportional to x, then

y ∝ x

y =kx

where k is the constant of proportionality.

Here, no constant term and (0,0) satisfies this equation.

The given equation is

S = 50+45w

Here, we have a constant term.

For S=0 and w=0,

0=50+45×0

0=50

Which is not true as 0 ≠ 50.

Since there is a constant term 50 and the equation is not valid for (0,0), therefore, the given relationship is not a proportional relationship.

I hope this answer helps.

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Answer: x=3

Step-by-step explanation:

log₂(x+5)-log₂(x-2)=3

Domain:

x+5>0    ⇔    x>-5

x-2>0     ⇔    x>2

Hence, x>2 or x∈(2,∞)

              Solution:

[tex]\displaystyle\\log_2\frac{x+5}{x-2} =3log_22\\\\log_2\frac{x+5}{x-2} =log_22^3\\\\log_2\frac{x+5}{x-2} =log_28\\\\Hence,\\\\\frac{x+5}{x-2}=8[/tex]

Multiply both parts of the equation by (x-2):

[tex]x+5=8(x-2)\\\\x+5=8x-16\\\\x+5-x=8x-16-x\\\\5=7x-16\\\\5+16=7x-16+16\\\\21=7x[/tex]

Divide both parts of the equation by 7:

[tex]3=x\\\\Thus,\ x=3[/tex]

Answer:

9 i think

Step-by-step explanation:

There are 336 to select a set of 8 donuts from 3 varieties,  where the donuts of the same variety are indistinguishable.

here the total number of   8 donuts of a set needs to make from a given variety of 3, since here the orders so,  we need to use permutations.A permutation of a set is an arrangement of its individuals into a grouping or direct order, or in the event that the set is as of now ordered, a modification of its elements. It alludes to the act or preparation of changing the direct arrange of a requested set. Permutations vary from combinations, which are determinations of a few individuals of a set in any case of an order.

the formula for permutations is :

P(n,r) = n! /(n-r)! , here n i=8 and r = 3

P(8,3) =  8! /(8-3)!

          =  8* 7*6= 336

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∠A= ∠R , and the triangle is congruent.

What are angles?

acc to our question-

Hence,∠A= ∠R , and the triangle is congruent.

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Answer:

$18.95

Step-by-step explanation:

5(10.25) + 2x = 89.15

51.25 + 2x = 89.15  Subtract 51.25 from both sides

2x = 37.90  Divide both sides by 2

x = 18.95

Check:

5(10.25) + 2( 18.95) = 89.15

51.25 + 37.90 = 89.15

89.15 = 89.15

89.15 - 5(10.25)

= 37.9

37.9/2

= 18.95 dollars for each parent

The area of tin sheet needed to make the roof is 25,136.3 square feet.

The roof of a farm silo is in the shape of a hemisphere. The roof is made of a sheet of tin. The diameter of the silo is 126.5 feet. Hence, the radius of the hemisphere is half the diameter. The radius is 126.5/2 = 63.25 feet. We need to find the amount of tin sheet required to make the roof. The amount of tin sheet is equal to the area of the roof. The formula for the curved surface area of a hemisphere is given below :

A = 2πr² = 2*3.1416*(63.25)² = 25,136.3

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Answer:

Example 1 : Convert 2 feet into inches. Solution : Here, we convert bigger unit into smaller unit. So we have to multiply. 2 feet = 2 x 12 inches = 24 inches Example 2 : Convert 3.5 yards into inches. Solution : Here, we convert bigger unit into smaller unit…

Work Shown:

45 beats = 15 seconds

45/15 beats = 15/15 seconds

3 beats = 1 second

To convert to beats per minute (bpm), multiply by 60.

Equation of line in slope-intercept form is [tex]y = (\frac{1}{3})x + 2[/tex].

Given in graph,

A(0,2) and B(3,3)

Slope-intercept form => y = mx + c

Slope, m = [tex]\frac{y2-y1}{x2-x1}[/tex]

               = [tex]\frac{3-2}{3-0}[/tex]

               = [tex]\frac{1}{3}[/tex]

Therefore, y = (1/3)x + c

Put A(0,2) in above equation

2 = (1/3)*0 + c

2 = c

Hence, y = (1/3)x + 2.

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The equation that represents a line which is parallel to the y - axis would be B. x = −8.

When a line is parallel to the y - axis, this means that the line does not cross the y - axis in any way and is both vertical and straight because the y - axis is vertical and straight.

Any line that is parallel to the y - axis will need to be expressed in terms of terms of x because the y axis is expressed in terms of x as x = 0. From the options, the only equation expressed in terms of x is x  = -8. This line is therefore parallel to the y - axis.

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The solution to the expression is given as 3 exponent 4 x (20.3 - 9) + 14.5 is 929.8

From the question, the expression is given as

3 exponent 4 x (20.3 - 9) + 14.5

When the expression is rewritten, we have the following representation

3⁴ x (20.3 - 9) + 14.5

Evaluate the exponent

So, we have

3⁴ x (20.3 - 9) + 14.5 = 81 x (20.3 - 9) + 14.5

Evaluate the expression in the bracket

3⁴ x (20.3 - 9) + 14.5 = 81 x 11.3 + 14.5

Solving further, we have

3⁴ x (20.3 - 9) + 14.5 = 915.3 + 14.5

Lastly, we have

3⁴ x (20.3 - 9) + 14.5 = 929.8

Hence, the solution is 929.8

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Triangle AEM is congruent to triangle DEN by SAS congruence criterion.

What do you mean by congruence of triangle?

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. If moved, they coincide with one other. The sign of congruence is’ ≅’. After proving triangles congruent, the remaining dimension can be predicted without actually measuring the sides and angles of a triangle.

In triangle AEM and triangle DEN

AE = DE (Given)

ME = NE (As In triangle MEN , angle M = angle N and sides opposite to equal angles are equal)

angle MEA = angle NED (Vertically opposite angles)

Triangle AEM ≅ Triangle DEN (By SAS congruence criterion)

Therefore, both the trinagles are congruent by SAS congruence criterion.

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The bar for 11th graders show 30% for preferring Salad.

Given, that the lunch orders from an upperclassman picnic.

                         11th Grade                      12th Grade                     Total

Salad                      12%                                  6%                              18%

Sandwich               20%                                24%                             44%

Soup                       8%                                  30%                             38%

Total                       40%                                 60%                            100%

To find the relative frequency we divide the frequency by the total.

hence, to find the relative frequency for 11th graders preferring Salad

12/40 = 0.3 = 30%

Hence, the bar for 11th graders show 30% for preferring Salad.

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The value of k for which the quadratic equation 4s² - 4s + (k - 2) has one real solution is:

k = 16.

A quadratic equation is modeled by the rule presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation is defined as follows:

In this problem, the equation is given as follows:

4x² - 4s + (k - 2) = 0.

Hence the coefficients are given as follows:

a = 4, b = -4, c = k - 2.

Hence the discriminant is:

Δ = (-4)² - 4(4)(k - 2)

Δ = 16 - 16k + 32

Δ = 48 - 3k

It has one real solution if Δ = 0, hence:

48 - 3k = 0

3k = 48

k = 48/3

k = 16.

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Marie did her homework in 8 hours.

Answer: yes, because -2 is the opposite of the leading coefficient

Step-by-step explanation:

Out of 60 donuts there are 36 chocolate-glazed donuts.

What is donuts?

A leavened, fried dough product is known as a doughnut or donut. It is a common sweet snack that can be made at home or bought in bakeries, supermarkets, food stands, and franchised specialty retailers. It is produced in a variety of ways.

Given: Megan bought 60 donuts for study club.

She told the worker at the donut shop that she wanted 60% of the donuts to be chocolate glazed.

Let the total donuts are 60.

And the 60% of 60 are,

60 x 0.6 = 36

Therefore, 36 donuts are chocolate - glazed.

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Answer: The volume of the prism is [tex]18^{3}[/tex]cm

Step-by-step explanation: The formula to solve for the volume of a rectangular prism is V = lwh. In this case, it's V = 4 x 3 x 1.5 therefore V = 18

0.0515  is probability of exactly six successes .

What is probability in math?

Binomial probability with

Number of trials (n) = 8

probability of success ( ρ ) = 0.95

              ρ = 0.95

     p + q = 1

        q = 1 - p

            = 1 - 0.95

        q = 0.05

 x ~  bin( n , ρ )

       ρ( X = x ) = ⁿCₓ Pˣ . qⁿ⁻ˣ

the probability of exactly six success .

    ρ ( X = 6 ) = ⁸C₆ ( 0.95)⁶ ( 0.05 )⁸ ⁻⁶

                     = 28 ( 0.7351 ) ( 0.05)²

                       = 28 ( 0.7351 ) ( 0.0025 )

                        = 0.051457

        ρ( X = 6 ) = 0.0515

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a) The average life of the lot is 1078.33 hrs, b) the total life is 107833.33 hours, c) a proportion of 1/2 bulbs have a life exceeding 1000 hrs while d) an estimation of 50 bulbs have a life exceeding 1000 hours.

It is given that the number of bulbs in a given lot is 100.

The number of bulbs in the sample selected is 6

The life of the sample bulbs was

no.         life (hours)

1                      950

2                     1210

3                     1070

4                      840

5                     1420

6                      980

a)

The average life of the bulbs can be calculated by

the sum of the lives of the sample/ no. of samples

= (950 + 1210 + 1070 + 840 + 1420 + 980) / 6

= 1078.3333 hrs

b) The total lives of the bulbs in the lot will be

average life X no. of bulbs

= 1078.3333 X 100

= 107833.33 hrs

c)

We can gain the proportion of the bulbs that have a life exceeding 1000 hrs by the given sample

The bulbs

2, 3, and 5 have lives exceeding 1000 hrs.

Hence, out of 6 bulbs, 3 have lives exceeding 1000 hrs.

Therefore the proportion

= 3/6

= 1/2

d)

The number of bulbs in the lot with a life exceeding 1000 will be

proportion X no. of bulbs

= 1/2 X 100

= 50 bulbs

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3√2x is the simplified form of the given expression by rationalizing the denominator.

In the form p q, where p and q are integers and q0, rational numbers can be expressed. The distinction between fractions and rational numbers is that the numerator or denominator of a fraction cannot be negative.

In mathematics, a denominator is the lowest number in a fraction that indicates how many equal parts are split into a whole. It is a fraction's divisor.

A common factor is a whole number that is a factor of at least two other numbers. The greatest common factor is the biggest factor that may be divided into two or more integers (HCF). The phrase "lowest common multiple" refers to the smallest multiple that two or more numbers have in common (LCM).

Make the denominator simpler.

12/2√2x

Reject the 12/2 common factor.

6/√2x

Multiply the numerator and denominator by √2x

(6√2x⋅√2x/√2x)

Combine and make the denominator simpler.

6√2x/2x

= 3√2x

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As per given data of at least 48inches height is required to ride in amusement park , Michael is 42 inches tall and grow 1/2 in. every month then total months after which Michael can ride is 12 months.

As given in the question,

Minimum height require to ride in amusement park = at least 48 inches

Present height of Michael is 42 inches tall

Increase in height every month 1/2 inch.

Let 'm' months taken by Michael to ride in amusement park.

Required equation is:

48 = 42 + (1/2)m

⇒(1/2)m = 48 -42

⇒ m = 6×2

⇒ m =12 months

Therefore, for the given data of at least 48inches height is required to ride in amusement park , Michael is 42 inches tall and grow 1/2 in. every month then total months after which Michael can ride is 12 months.

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Answer:

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is your slope and b is your y-intercept.

To find your equation with what you are given, you have to plug in your values.

(-5, 6) = (x, y) so plug -5 in where there is x and 6 in where there is y

then your slope, m, is 2 so plug 2 in where there is m.

so it should look like

6=2(-5)+b, now you are solving for b.

  6    = -10+b

+10      +10

___________

16     =  b           Then take the values and plug back into the slope intercept formula, y=mx+b.

Plug 16 in for b and 2 in for m (m represents slope and they told us the slope =2)

*you no longer need the y and x values because you only use those to solve for m or b, in this case b, so leave y and x in your equations*

y=2x+16