A professional miner can dig 3/8 meter in an hour. How many meters can 8 professional miners dig in 2 hours?

Answer:

Z =  -1.60

it is low ... it appears that for this problem 2 standard deviations below must be reached to be considered "unusual"

Step-by-step explanation:

Answer:

My opinion Camilo Madrigal

Step-by-step explanation:

Because his gift is shapeshifting.

Answer: Isabela and dolores yes yes:)

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

25 square units.

Step-by-step explanation:

To get the area of a trapezoid, you will do the height times the b1 plus b2 divided by 2.

In this case, h = 2; b1 = 5; b2 = 20.

[2 * (5 + 20)] / 2 = (2 * 25) / 2 = 50 / 2 = 25 square units.

Hope this helps!

The area of trapezoid ABCD is 25 square units.

A flat geometric figure with four sides but with only two sides parallel.

Given,

A = h*(b₁+b₂)/2

where h=2, b₁=5, b₂=20

Substitute values of h,  b₁ and  b₂

A = 2*(5+20)/2

A = 2*(25)/2

A = 50/2

A = 25 square units (choice A)

Notice how the b₁ and  b₂ are the parallel bases, while the height h = 2 is perpendicular to both of these bases.

Hence area of trapezoid ABCD is 25 square units.

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Answer:

K=6

Step-by-step explanation:

I hope this answer is right

Given a jar of candy that has a certain number of pieces of candy. The given data also tells that a total of 16 pieces are excluded from each color except yellow, where 18 pieces are excluded. The objective is to determine the number of pieces of each color and the total number of candy pieces.Except for 16 pieces, all the candy is red.

It means that there are 16 red candies in the jar that are not included in this count. Let us assume that there are "r" red candies in the jar.Therefore, the total number of red candies is:r + 16.

Except for 16 pieces, all candy is blue.Similarly, we can assume that there are "b" blue candies in the jar.Therefore, the total number of blue candies is:b + 16.

Except for 16 pieces, all candy is green.Likewise, we can assume that there are "g" green candies in the jar.So, the total number of green candies is:g + 16.

Except for 18 pieces, all candy is yellow.We can assume that there are "y" yellow candies in the jar.Therefore, the total number of yellow candies is:y + 18.

The total number of candy pieces in the jar can be obtained by adding all the individual pieces of each color. That is:Total candy pieces

= (r + 16) + (b + 16) + (g + 16) + (y + 18)

Total candy pieces

= r + b + g + y + 66

Now, we will solve this system of equations using the values obtained above

:r + b + g = y + 50y = r + b + g + 18

We need to substitute the second equation in the first equation,

r + b + g = r + b + g + 18 + 50r + b + g = r + b + g + 68

This simplifies to 50 = 68, which is not possible.

Therefore, the given information is inconsistent.

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ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

Answer:

choice f

Step-by-step explanation:

take ∆ abc

ab^2 = ac^2 + ab^2

400 = 225 + ab^2

ab =√ 175

∆aDB

bd = 20-x

ad^2 = 175 -(20-x)^2

∆acd

225 = x^2 + 175 - 400+ 40x - x^2

225 = -225 + 40x

450 = 40x

x = 45/4

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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Answer:

b). There is little to no evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.

Step-by-step explanation:

The most adequate statement to examine the proposition is that 'there is lack of adequate evidence to substantiate the claim that the mean time taken for driving through the detour and the alternative route is distinct.' This will help in testing that there is a lack of evidence to establish the validity or truth of the proposition that if the detour is actually shorter than the alternative route or not. No data has been provided to clarify that the mean driving time in both routes traveled by Sarah was varied. Hence, option b is the correct answer.

hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful

Answer:

43.96

Step-by-step explanation:

ok so you use the formula: A= 3.14•r•2 next you plug in your values a=3.14•7•2 3.14•7= 28.98•2=43.96

Answer:

43.96

im dying on the question before that one it says "What issues are you having when it comes to area and circumference" you typed nothing really and here you are asking us whats the circles area lol

Step-by-step explanation:

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.

Step-by-step explanation: To find the implicit derivative,

Differentiate both sides of f(x, y) = 0 with respect to x.

Apply usual derivative formulas to differentiate the x terms.

Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.

Solve the resultant equation for dy/dx (by isolating dy/dx).

Answer:

\( \frac{5(x - 3) - 3(2x + 4)}{9} \\ \\ \frac{5x - 15 - 3(2x + 4)}{9} \\ \\ \frac{5x - 15 - 6x - 12}{9} \\ \\ = \frac{ - x - 27}{9} \)

The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

In the context of this problem, the variables x and y are given as follows:

The equation for the constant is given as follows:

k = y/x.

Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.

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Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

A: (-5,4)

B: (7,-2)

Step-by-step explanation:

It has to be in order start with the x-axis then the y-axis

Answer:

68 cm²

Step-by-step explanation:

I don't see what you mean for each figure but here goes nothing!

We can split the figure in 2 rectangles

We find the first rectangle by doing 4 x 12 = 48 cm²

The second rectangle would be 5 x 4 = 20 cm²

Therfore we add them up into 20 + 48 = 68 cm²

Hope This Helps!

Answer:

42

Step-by-step explanation:

because its 42

Answer:

the answer is probably 5

Answer:

x = 4

Step-by-step explanation:

Since, DE || AC... (GIVEN)

Therefore, by Basic Proportionality Theorem, we have:

BD/AD = BE/CE

(10-x) / x = 3/2

2(10 - x) = 3x

20 - 2x = 3x

20 = 2x + 3x

20 = 5x

x = 20/5

x = 4

Answer:

yes I can

but wheres the question

why dont you type it in the comments

Answer:

the total dosage is 4.5 mg of tablets

Step-by-step explanation:

Answer:

all are perfect cubes

Step-by-step explanation:

you can just cube root the numbers and bom if it aint decimal its a perfect cube

Sheena decorated 9 invitations on Saturday.

We are given the number of invitations made on Friday is 1/2 is a fraction. To find the number of invitations use the multiplication of fractions.

This can be done by multiplying the fraction by the total number of invitations. Similarly, we can find the number of invitations did Sheena decorate on Saturday.

Here we have

Sheena is making invitations for her birthday party. Sheena needs to make invitations for 54 of her friends.

On Friday you helped her make 1/2 of the invitations.

So the number of invitations made is:

=> 1/2 × 54 = 27 invitations

On Saturday, Sheena worked on decorating 1/3 of the invitations made on Friday, so the number of invitations she decorated is:

=> 1/3 × 27 = 9 invitations

Therefore,

Sheena decorated 9 invitations on Saturday.

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