The number of people that can be safely carried in a lift depends on their mass. A lift will safely
carry 8 people with an average mass of 75 kg. How many people with an average mass of
100kg can safely travel in the lift?

Pls pls explain it with working (worry for exam) guys it’s maths not physics

Answer:

Step-by-step explanation:

Answer:

Answer is linked

Step-by-step explanation:

The equation is in slope-intercept form, which is y = mx + b.

To graph the line, first we have to find the slope, m, and the y- intercept, b.

So, the slope is 2 and the y- intercept is 1.

We can graph this, beginning with the y- intercept, 1. The y- intercept is always on the y axis, so the (x) value will always be zero.

Plot a point at (0, 1).

Next, add more points using the slope. The slope is 2, or \(\frac{2}{1}\). Start at the point we have made on the y axis. The slope equals the \(\frac{rise}{run}\). We can rise 2 units, then run one more unit to the right. If the slope is negative, the run goes to the left. However, in this case, the slope is positive, to it slants to the right.

We end on point (1, 3). We can continue this path infinitely, some other points on the graph could be (2, 5), (3, 7), (4, 9) and (5, 11).

Connect these points to make a line.

The finished line is linked below as well.

I hope this helps :] Good luck ^^

Step 1:

Re-state the given function.

Step 2:

We shall state the mathematical implication of the sine function at both minimum and maximum points.

At minimum point:

Step 3: We shall substitute the values in step 2 above in the given function.

We are only interested in the value at maximum point, so

Thus, the correct answer is 13 feet ( option D)

Answer:

\(Scale = 1\ in : 8\ ft\)

Step-by-step explanation:

Given

\(Scale\ Measurement = 20.5in\)

\(Actual\ Measurement = 164ft\)

Required

Determine the scale

The scale is calculated using the following ratio:

\(Scale = Scale\ Measurement : Actual\ Measurement;\)

Substitute values for Scale and Actual Measurements

\(Scale = 20.5\ in : 164\ ft\)

Divide ratio by 20.5

\(Scale = 20.5/20.5\ in : 164/20.5\ ft\)

\(Scale = 1\ in : 8\ ft\)

This implies that: 1 inch on scale represents 8 ft in actual measurement

Answer:

1.8

Step-by-step explanation:

Answer:

Answer 109.02i hope it is helpful have a nice day

Answer:

108.32

Step-by-step explanation:

\((13.8 \times 7.9) \\ = (11.72 + 96.6) \\ = 108.32\)

The bearing is the angle measured clockwise from the north direction to a specified direction. To find the bearing of Town Y from Town B, we use the given information that Town B is located south 38 degrees east from Town Y. By subtracting this angle from 180 degrees, we find that the bearing is 142 degrees.

To determine the bearing, we need to find the angle between the north direction and the direction from Town B to Town Y.

Since Town B is located south of Town Y, the bearing will be a southern direction. The bearing angle can be calculated as 180 degrees minus the given angle, which is 38 degrees.

Therefore, the bearing of Town Y from Town B is 180 - 38 = 142 degrees.

In conclusion, the main answer is that the bearing of Town Y from Town B is 142 degrees.

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The final step when solving the given math problem is:

Take the fifth root of both sides: x = \(((y^2)/19)^(^1^/^5)\)

To solve √19x^5 for x, follow these steps:

Isolate the square root term: \(\sqrt{19x^5}\) = y (Let y be the other side of the equation)

Square both sides: \((y^2) = 19x^5\)

Divide both sides by 19: \((y^2)/19 = x^5\)

Take the fifth root of both sides: x = \(((y^2)/19)^(^1^/^5^)\)

The square root of a number is a value that, when multiplied by itself, gives the original number. It is denoted by the symbol √ and can be found using mathematical operations.

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In the given diagram, a region R is highlighted in orange, which is constructed from a line segment and a parabola. The equation of the line and the parabola need to be determined. Additionally, the integral of the function (6x + 3) over the region R needs to be found.

a. To find the equations of the line and the parabola, we can start by analyzing the points on the graph. From the diagram, it appears that the line passes through the points (2, 4) and (6, 5). Using these two points, we can determine the equation of the line using the point-slope form or the slope-intercept form.

The parabola, on the other hand, is defined by the equation y = k(x - a)(x - b), where a and b are the roots of the parabola. To determine the values of a, b, and k, we can use an integer-valued point from the graph, such as (3, 2). By substituting these values into the equation, we can solve for k.

b. To find the integral of the function (6x + 3) over the region R, we need to set up the limits of integration based on the boundaries of the region. The region R can be divided into two parts: the area under the line segment and the area under the parabola.

By integrating the function (6x + 3) over each part of the region separately and adding the results, we can find the total integral over the region R.

The specific calculations for the integral depend on the equations of the line and the parabola obtained in part (a). Once the equations are determined, the integral can be evaluated using the appropriate limits of integration.

Therefore, to fully answer the question, the equations of the line and the parabola need to be determined, and then the integral of the function (6x + 3) over the region R can be calculated using the respective equations and limits of integration.

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Answer: A solid horizontal line at y=8. Everything above the line should also be shaded.

Step-by-step explanation:

The line under the greater than sign means it includes any value of y greater than or equal to eight.

Answer:

Step-by-step explanation:

2(x + 3) + 2x

2x + 6 + 2x

4x + 6 and 4x + 3 not equal

3(x + 2) + 4x

3x + 6 + 4x

7x + 6 and 6x + 6 not equal

5x + 2(x + 4)

5x + 2x + 8

7x + 8 and 6x + 8 not equal.

4 + 5(x + 2)

4 + 5x + 10

5x + 14 and 5x + 14 are equal

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

A deficiency in the release of vasopressin (ADH) by the posterior pituitary gland causes diabetes insipidus. Option C

Diabetes insipidus is a condition characterized by the inability of the body to regulate water balance due to a deficiency in the release of vasopressin, also known as antidiuretic hormone (ADH), by the posterior pituitary gland. Vasopressin plays a crucial role in regulating water reabsorption in the kidneys, thereby controlling urine concentration and volume.

When there is a deficiency of vasopressin, the kidneys are unable to properly reabsorb water, leading to excessive urination and increased thirst. This condition is called diabetes insipidus, which is different from diabetes mellitus, a condition related to blood sugar regulation.

Hypoglycemia refers to low blood sugar levels and is not directly associated with a deficiency in vasopressin. Dwarfism, on the other hand, is a condition characterized by stunted growth and is caused by various factors such as genetic mutations or hormonal imbalances, but not specifically by a deficiency in vasopressin.

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The total amount of cash received from the sale given by percentage is $1,336,000.

From the question, we can conclude that :

The bonds cost = $1,002,000

Percentage issued = 3/4 = 75%

We can assume that the total amount of cash received from the sale is 100%.

Hence, we can write the formula of cash received depending on the bond cost and percentage given by :

( percentage issued ) / (total) = (bond cost) / (total amount)

( percentage issued ) / (total) = (bond cost) / (total amount)

(75 %) / (100%) = $1,002,0000 / (total amount)

3 / 4 = $1,002,0000 / (total amount)

by cross multiplication

3 x (total amount) = 4 x $1,002,000

3 x (total amount) = $4,008,000

(total amount) = $4,008,000 / 3

(total amount) = $1,336,000

So the total amount of cash received from the sale given by percentage is $1,336,000

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The sum of x and y i.e (x+y) is equal to 23

When two diagonals of a parallelogram bisect each other. Each diagonal bisects the parallelogram into two congruent triangles. The Sum of the square of all the sides of a parallelogram is equal to the sum of the square of its diagonals.

This implies that line uz = wz, and vz= tz

therefore 3y+6= 2x equation 1

since vt = 78

5y-1= 78-(5y-1) equation 2

5y-1= 78-5y+1

collecting like terms,

5y+5y= 78+1+1

10y= 80

divide both sides by 10

y= 80/10

y= 8

substituting 8 for y in equation 1

3×8+6= 2x

24+6= 2x

30= 2x

divide both sides by 2

x= 30/2= 15

therefore the sum of x and y = 15+8= 23

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Hello,

g(x) = x² - 5x

g(-3) = (-3)² - 5 × 3 = 9 - 15 = - 6 ≠ 24 ⇒ not correct

g(-1) = (-1)² - 5 × (-1) = 1 - 5 = -4 ⇒ correct

g(5) = 5² - 5× 5 = 25 - 25 = 0 ⇒ correct

g(7) = 7² - 5 × 7 = 49 - 35 = 14 ⇒ correct

The equation is already in standard form since standard form is

ax^2+bx+c = 0

Here we have

a = -3

b = 4

c = -2

Answer:

275

Step-by-step explanation:

g(x) = x²-7 ⇒ g(8) = 8² - 7 =57

f(x) = 5x -10 ⇒ f(g(8)) = f(57) = 5.57-10 = 275

Answer:

275

Step-by-step explanation:

First, find g(8).

g(x) = x^2 - 7

g(8) = 8^2 - 7

g(8) = 64 - 7

g(8) = 57

Now find f(g(8)).

f(x) = 5x - 20

f(g(8)) = f(57)

f(57) = 5(57) - 10

f(57) = 285 - 10

f(57) = 275

Answer: f(g(8)) = 275

According to the question The initial value of the truck is $28,000, and it depreciates completely after 14 years.

To find the initial value of the truck, we can look at the salvage value when it is purchased. The salvage value is the value of the truck after it depreciates completely, which means the salvage value will be zero.

The function given for the salvage value of the truck is \(\(S(t) = 28,000 - 2000t\)\), where \(\(t\)\) represents the number of years after the truck is purchased.

If we set \(\(S(t)\)\) equal to zero and solve for \(\(t\)\), we can find the time it takes for the truck to depreciate completely:

\(\[0 = 28,000 - 2000t\]\)

To solve for \(\(t\), we can isolate \(\(t\)\) on one side of the equation:

\(\[2000t = 28,000\]\\t = \frac{28,000}{2000}\]\\\t= 14\]\)

Therefore, it takes 14 years for the truck to depreciate completely.

To find the initial value of the truck, we substitute \(\(t = 0\)\) into the function \(\(S(t)\):\)

\(\[S(0) = 28,000 - 2000(0)\]\)

\(\[S(0) = 28,000\]\)

Therefore, the initial value of the truck is $28,000.

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g(x) = x^2 - 3

f(x) = x^3+7x^2-x

Start with the g(x) function. Replace every x with f(x)

g(x) = x^2 - 3

g(f(x)) = ( f(x) )^2 - 3

Then replace the f(x) on the right side with x^3+7x^2-x

g(f(x)) = (x^3+7x^2-x)^2 - 3

The highest term inside the parenthesis is x^3. Squaring this leads to (x^3)^2 = x^(3*2) = x^6

So the highest exponent found in g(f(x)) is 6, meaning the degree of is 6

Answer:

no hay imagen

theres no picture

Answer:

75%

Step-by-step explanation:

Answer:

Step-by-step explanation:

7000 - 4000 = 3000

percentage of increase = 3000 / 4000

                                       = 0.75 x 100

                                       = 75%

check:

= 4000 x 1.75

= 7000  ok

The length of the shadow cast by a person 1.82 m tall will be 4.09m

A ray of sunlight forms a angle of Elevation to the sub is 24°.

The angle from horizontal to the point where we stopped our head is called angle of elevation.

On this note, the shadow cast on the floor shows the adjacent of the angle of Elevation.

Hence, the length of the shadow cast can be calculated from Tangent identify as;

Tan 24° = 1.82/l

l = 1.82/Tan 24

l = 1.82/0.445

Thus, Length of shadow = 4.09m

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Answer:

I need some help in this part

solving system of equations in 3 variable

-×-5y+z=17

-5×-5y+5z=5

2×+5y-3z=-10

HELP PLEASEEEEE

Answer:64 students

Step-by-step explanation:

using the empirical rule, we know that 34% of a normal distribunion is below the mean but above 1 standard deviation. This means that 16% of the students enter before 9:55. Take 16% of 400 and you get the amount of students in before 9:55

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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Answer:

27.5 mm

Step-by-step explanation:

The game piece has the shape of two identical square pyramids attached at their bases. Given that the perimeters of the square bases are 80 millimeters, and the slant height of each pyramid is 17 millimeters.

Let the side length of each of the side of the base of the pyramid be b, hence:

perimeter = 4b

80 = 4b

b = 20 mm. half of the side length = b/2 = 20 / 2 = 10 mm

The slant height (l) = 17 mm, Let h be the height of one of the pyramid, hence, using Pythagoras theorem:

(b/2)² + h² = l²

17² = 10² + h²

h² = 17² - 10² = 189

h = √189

h = 13.75 mm

The length of the game piece = 2 * h = 2 * 13.75 = 27.5 mm.

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Step-by-step explanation:

Example: Multiply 0.25 by 0.2

0.25 × 0.2. multiply without decimal points:

25 × 2 = 50. 0.25 has 2 decimal places,

Answer:

What do you need help with?

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The required values are ~

\(\fbox \colorbox{black}{ \colorbox{white}{x} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{40 \degree}}\)

\(\fbox \colorbox{black}{ \colorbox{white}{y} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{80 \degree}}\)

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

From the given figure, we can infer that ~

(by linear pair)

now, let's solve for x ~

And, we can see that 2x = y (by alternate interior angle pair)

So, let's find the value of y ~

Answer:

x = 40

3x - 20 = 100

2x = 80

y = 80

2x - 15 = 65

Step-by-step explanation:

The angles 3x - 20 and 2x are a linear pair, so they are supplementary. Their measures has a sum of 180°.

Angles 2x and y are alternate interior angles, so they are congruent.

Once we find the value of x, we can find the measure of angle 2x - 15.

3x - 20 + 2x = 180

5x = 200

x = 40

3x - 20 = 3(40) - 20 = 120 - 20 = 100

2x = 2(40) = 80

y = x = 80

2x - 15 = 2(40) - 15 = 80 - 15 = 65