a line passes through the point (10, -2) and had a slope of -1/2. write an equation in point-slope form for this line.

Answer:

d(x) = 11500*0.945^x

Step-by-step explanation:

Chuy's truck loses 5.5% of its value each year.  That means each year:

(current worth of truck) = (previous year's worth) - (previous year's worth)*5.5%

The current worth is also equivalent to (previous year's worth)*94.5%.

After one year, the worth is (first year)*94.5%.

After two years, the worth is ((first year)*94.5%)*94.5%.

Note that each year, the original value of the car is multiplied by 94.5% to get the current worth.  Recall also that 94.5% = 0.945.

d(x) = 11500*0.945^x, where 11500 is the original price.

Final answer:

The function representing the value of Chuy's truck x years after purchase, given a depreciation rate of 5.5% annually, is [tex]d(x) = 11500(1 - 0.055)^x[/tex]. This formula calculates the truck's decreasing value over time.

Explanation:

The question asks for the function d(x), which represents the value of Chuy's truck x years after its purchase, given it depreciates at a rate of 5.5% annually. The general formula to calculate depreciation using a percentage rate is

[tex]V = P(1 - r)^x[/tex]

where V is the future value of the item, P is the initial purchase price, r is the annual depreciation rate (in decimal form), and x is the number of years.

In this case, Chuy's truck was purchased for $11,500, and it depreciates at a rate of 5.5% per year. Substituting these values into the formula, we get the function for the value of the truck as-

[tex]d(x) = 11500(1 - 0.055)^x[/tex]

This equation allows us to determine the truck's value at any amount of years after the purchase.

Answer:

Priya bought 2 pears

Step-by-step explanation:

5 Oranges = £2.00

3 Apples = £1.05

2 Bananas = 24p

£2.00 +  £1.05 + 24p = £3.29

£3.29 + 25p = £3.54

£3.54 + 25p = £3.79

Answer:

2 pears

Step-by-step explanation:

40×5=2

35×3=1.05

12×2=24

Total sum=2+1.05+24=3.29

3.29-3.29=50

50÷25=2

ans:2 pears

3x (x - 1) = 3x² - 3x

Answer:

3x² - 3x

Step-by-step explanation:

Assuming you require to simplify the expression

Given

3x(x - 1) ← multiply each term in the parenthesis by 3x

= (3x × x) + (3x × - 1)

= 3x² + (- 3x)

= 3x² - 3x

Answer:

4 meters. 

Step-by-step explanation:

Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position. 

So, the total distance Benjamin walked is 10m + 6m = 16m 

Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.

The difference between the distance she walked and her displacement is 4 meters. 

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!    

These are the vertical anvles, so v=50°

Answer:

£94

Step-by-step explanation:

Basically, we want to find the surface area of this cylinder.

The surface area of a cylinder is denoted by: A = 2πr² + 2πrh, where r is the radius and h is the height. However, note that the farmer only wants to paint the curved surface of the cylinder, so we don't want to include the 2πr² part that accounts for the two circular bases. Instead, we actually just want to find the value of 2πrh.

Here, we see that the diameter is 8 metres, so since the radius is half the diameter, we know that r = 8/2 = 4 metres.

We also see that the height is 6 metres, so h = 6.

Plug these numbers in:

2πrh

2π * 4 * 6 = 48π ≈ 150.8 m²

We see that each can of paint will cover 20 m², so divide 150.8 by 20 to find the number of cans we need:

150.8 ÷ 20 = 7.5 ≈ 8 cans

Each can costs £11.75, so multiply 8 by 11.75 to get the total cost:

11.75 * 8 = £94

The answer is £94.

Answer:

94 euros is the answer, plez mark as brainliest ty big brain man

Step-by-step explanation:

Answer:

A.) $1669

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Final answer:

This answer explains how to calculate the Mean Absolute Deviation (MAD) for a given data set and determines the MAD for the provided set of numbers.

Explanation:

Mean Absolute Deviation (MAD) measures the average difference between each data point and the mean of the data set.

To calculate MAD:

Find the mean of the data set: (68 + 72 + 77 + 64 + 69 + 76) / 6 = 72.67

Find the absolute difference for each data point: |68 - 72.67|, |72 - 72.67|, |77 - 72.67|, |64 - 72.67|, |69 - 72.67|, |76 - 72.67|

Add up all the absolute differences and divide by the total number of data points: (4.67 + 0.67 + 4.33 + 8.67 + 3.67 + 3.33) / 6 = 4.67

The Mean Absolute Deviation for the given data set is 4.67. Therefore, option c- 4 is the correct answer.

Answer:

$63

Step-by-step explanation:

Take 60 (the money amount in his savings account) and multiply by .05 percent which is 5 percent. This is 3. So 60 + 3 = $63.

Answer:

1170450 yd^2

Step-by-step explanation:

The first thing is to calculate the necessary perimeter, which would be like this:

2 * a + b = 3060

if we solve for b, we are left with:

b = 3060-2 * a

Now for the area it would be:

A = a * b = a * (3060-2 * a )

A = 3060 * a -2 * a ^ 2

To maximize the area, we calculate the derivative with respect to "a":

dA / da = d [3060 * a -2 * a ^ 2

]/gives

dA / day = 3060 - 4 * a

If we equal 0:

0 = 3060 - 4 * a

4 * a = 3060

a = 3060/4

a = 765 and d

Therefore b:

b = 3060 - 2 * a = 3060 - 1530 = 1530

A = a * b

A = 765 * 1530

A = 1170450 and d ^ 2

Final answer:

To find the largest area the owner of the Rancho Grande can enclose, we set up an equation using the perimeter of the rectangular land and the available fencing. By solving the equation and finding the maximum point of a quadratic equation, we determine that the dimensions of the largest area are L = 765 yd and W = 1,530 yd.

Explanation:

To find the dimensions of the largest area the owner of the Rancho Grande can enclose, we need to consider that the rectangular grazing land is situated along the straight portion of a river. Since fencing is not required along the river, the owner can use the available fencing to enclose the other three sides of the rectangular piece of land.

Let's assume the length of the rectangular piece of land is L and the width is W.

Since there are three sides that require fencing, the perimeter of the rectangular piece of land is given by:
P = L + W + L = 2L + W

According to the information provided, the owner has 3,060 yd of fencing available. Therefore, we can write the equation:

2L + W = 3,060

To maximize the area, we need to solve this equation for one variable and substitute it back into the area formula, A = L * W. Let's solve for L:

2L = 3,060 - W
L = (3,060 - W)/2
Substituting L in the area formula:
A = ((3,060 - W)/2) * W

Finally, we can maximize the area by finding the maximum point of the quadratic equation:

A = -0.5W^2 + 1,530W

The maximum point of a quadratic equation in the form A = ax^2 + bx + c occurs at x = -b/2a.

Comparing the quadratic equation to A = -0.5W^2 + 1,530W, we have:
a = -0.5
b = 1,530

Substituting these values into x = -b/2a:
W = -1,530 / (2 * -0.5)

Calculating W:
W = 1,530 / 1
W = 1,530

Now, substituting W back into the equation for L:
L = (3,060 - 1,530) / 2
L = 1,530 / 2
L = 765

Therefore, the dimensions of the largest area the owner of the Rancho Grande can enclose are L = 765 yd and W = 1,530 yd.

Answer:

20160

Step-by-step explanation:

315*64 = 20160

To find the total number of cookies Kenneth bought, you multiply the number of packages (315) by the number of cookies in each package (64). This results to 20160 cookies.

This question involves a simple multiplication operation. When Kenneth buys 315 packages of cookies and each package contains 64 cookies, to find the total number of cookies Kenneth bought, you need to multiply the number of packages by the number of cookies in each package. So, we have 315 (packages) x 64 (cookies per package).

The equation is: 315 x 64 = 20160.

Therefore, Kenneth bought a total of 20160 cookies.

https://brainly.com/question/35502092

#SPJ3

Answer:

smaller number is  7

larger number is 35

Step-by-step explanation:

Let the smaller number be x

Given that greater number is 6 more than 4 times the smaller number.

If x is value of smaller number then 4 times the smaller number is 4*x= 4x

six more than 4 times the smaller number will be 6+4x.

Thus larger number is 6+4x

Sum of smaller and larger no is 41.

Substituting the value of smaller and larger number in sum we have

x+6+4x = 41

=> 5x+6 = 41

=> 5x = 41-6

=> 5x= 35

=>x = 35/5 = 7

Thus smaller number is x = 7

larger number = 4x+6 = 4*7+6 = 35

To find the two numbers, we can set up two equations and solve them using substitution and simplification. The smaller number is 7, and the larger number is 34.

To solve this problem, we can set up two equations.

Let's call the smaller number 'x' and the greater number 'y'.

From the given information, we know that:

y = 4x + 6 (Equation 1)

x + y = 41 (Equation 2)

Now, we can substitute Equation 1 into Equation 2 to solve for 'x':

x + (4x + 6) = 41

Combining like terms, we have:

5x + 6 = 41

Next, subtracting 6 from both sides gives:

5x = 35

Finally, dividing both sides by 5 gives:

x = 7

So, the smaller number is 7.

Plugging this value back into Equation 1:

y = 4(7) + 6 = 34

Thus, the larger number is 34.

https://brainly.com/question/18322830

#SPJ3

Answer:44=11/25 and 51=then its 51/100

Step-by-step explanation:if its frcations.hope it helps.

Answer:

44/51

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

from the information given, we know that rps + qpr = qps.

so, (8x+7)+(9x+16) = 40.

simplify to get 17x + 23 = 40.

17x = 17.

x = 1.

plug in: 9+16 = 25.

Answer:

28.36°

Step-by-step explanation:

The problem represents a right angled triangle as shown in the diagram below.

The length of the handicap ramp is 25 feet.

The side ground distance covered by the ramp is the adjacent of the angle of the triangle and it is 22 feet.

To find the angle of elevation of the incline, we apply SOHCAHTOA:

cos θ = adj / hyp

Therefore:

[tex]cos \alpha = 22 / 25\\\\cos \alpha = 0.88\\\\\alpha = cos^{-1} 0.88\\\\\alpha = 28.36^o[/tex]

The angle of elevation of the incline for the handicap ramp is 28.36°.

Answer:

They will need 11 tables

Step-by-step explanation:

The first 10 will seat 5, the 11th will seat the final 3.

Answer:

The group will need 11 tables.

Step-by-step explanation:

Think: How many times does 5 go into 53?

We know that 5 goes into 50, 10 times. The extra 3 students must sit at a seperate table. That means they need 10 tables plus another. Therefore, the group will need 11 tables.

Answer: The total volume of the the cubes in the tower is 792 cubic centimetres (792 cm³)

Step-by-step explanation: We shall call the volume of the cube at the bottom VB, the volume of the cube at the middle VM, and the volume of the cube at the top VT. The tower is made up of cubes at different levels and at the bottom the cube measures 8 centimetres. The cube at the middle measures 2 cm less than the bottom cube, hence middle cube equals 8 minus 2 which equals 6 cm. The top cube measures 2 cm less than the middle cube, hence the top cube equals 6 minus 2 which equals 4 cm. The volume of each cube is given as;

Volume = L³

The length of a cube measures the same on all sides, that is, length, width and height. The length on all sides therefore of the bottom cube is 8 cm. The volume equals;

VB = 8³

VB = 512 cm³

The length on all sides of the middle cube is 6 cm (measures 2 cm shorter than the bottom cube). The volume of the middle cube equals;

VM = L³

VM = 6³

VM = 216 cm³

The length on all sides of the top cube is 4 cm (measures 2 cm shorter than the middle cube). The volume of the top cube equals;

VT = L³

VT = 4³

VT = 64

From the calculations shown, the total volume of the cubes in the tower is given as;

Total volume = VB + VM + VT

Total volume = 512 + 216 + 64

Total volume = 792 cm³

Total volume is 792 cubic centimetres.

Answer: The total volume of the cubes is 792 cm^3

Step-by-step explanation:

We have 3 cubes here.

And remember that the volume of a cube is equal to the length of one of the edges at the power of 3.

So for the bottom cube, we have that the edges are 8cm long, so the volume of this cube is:

V1 = 8cm^3 = 512cm^3

The edges of the next cube are 2cm shorter, so the edges are 6cm long.

Then the volume is:

V2 = 6cm^2 = 216cm^3

The top cube's edges are 2 cm shorter than the previous one, so the length of these edges is 4cm, then the volume is:

V3 = 4cm^3  = 64cm^3

Now, the total volume is equal to:

V = V1 + V2 + V3 = 512cm^3 + 216cm^3 + 64cm^3 = 792 cm^3

Answer:

The expression that should be used to find her ballance over the years is "A = 3000*(1.125)^(12*t)".

Step-by-step explanation:

We can use the compounded interest formula to calculate her balance over t years. The formula is shown below:

A = C*(1 + r/n)^(n*t)

Where A is the final value, C is the initial value, r is the interest rate, n is the rate at which the account is compounded over a year and t is the total elapsed time in years. Applying the data from the problem we have:

A = 3000*(1 + 1.5/12)^(12*t)

A = 3000*(1 + 0.125)^(12*t)

A = 3000*(1.125)^(12*t)

Answer:

he scored 14 points per game :)

Step-by-step explanation:

Answer:

9 inches by 12 inches

Step-by-step explanation:

(12)(0.75)=9

(16)(0.75)=12

Answer:

510g H2S

Step-by-step explanation:

En esta pregunta, se nos pide calcular la masa de H2S emitida cuando 5 moles de sulfuro de níquel reaccionan completamente con el agua.

De la ecuación equilibrada, podemos ver que 1 mol de sulfuro de níquel produjo 3 moles de sulfuro de hidrógeno Por lo tanto, 5 moles de sulfuro de níquel producirán = 5 * 3 moles = 15 moles de sulfuro de hidrógeno

Matemáticamente, la masa se puede calcular multiplicando el número de moles por masa molar La masa molar de H2S es 2 (1) + 32 = 34 g / mol La masa en gramos así producida = 15 mol * 34g / mol = 510g

Answer:

Rohit takes 4 4/5 minutes ( =4.8 minutes) to make a complete round of a circular park. For finishing 15 rounds, he needs time T:

T = 15 x 4.8 = 72 minutes

Hope this helps!

:)

Answer: 119

Step-by-step explanation: got it right

In the given figure, measure of angle A is 61°, measure of angle B is 119° and measure of angle C is 62°.

From the given triangle triangle, exterior angle to the angle C is 118°.

We know that, sum of two adjacent angles is 180°.

Here, ∠C+118°=180°

∠C=180°-118°

∠C=62°

By using exterior angle theorem of triangle, we get

∠A+57°=118°

∠A=118°-57°

∠A=61°

So, ∠A+∠B=180° (Adjacent angles)

61°+∠B=180°

∠B=180°-61°

∠B=119°

Therefore, in the given figure, measure of angle A is 61°, measure of angle B is 119° and measure of angle C is 62°.

Learn more about the exterior angle theorem here:

brainly.com/question/2995226.

#SPJ2

Answer:

32

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

32  , 64   ( geometric-sequence) when the common ratio is : 2

To find the size of an angle, one can use the small-angle approximation, which for small angles allows one to estimate the angle based on linear size and distance when measured in radians. The thumb method suggests a thumb at arm's length subtends an angle of 1 degree.

To address the question about the size of a given angle, we must consider several mathematical concepts related to angles and their measurement. A key method of estimating angles involves using the small-angle approximation, which relates the linear size of an object to its angular size when viewed from a certain distance.

This approximation states that for small angles, the tangent of the angle is approximately equal to the angle itself when measured in radians. If we know the approximate width of an object, such as a thumb (1 cm) and use a comfortable viewing distance, Lo (\u2248 25 cm), we can estimate the angular size using this relationship.

The size of an angle can be described using different units, primarily degrees, arcminutes, and arcseconds, or radians. As part of learning about angles, students are taught to convert between these units. Given the question's context, if a thumb is estimated to subtend an angle of 1 degree at arm's length, we would have a straightforward method to approximate the angle's size through observation.

Answer:

B. 51

Step-by-step explanation:

Highest number=54

Lowest number=3

Range=Highest-lowest

54-3= 51

Please mark as brainlist and vote my answer.

Answer:

B. 51

Step-by-step explanation:

You have to order the numbers by least to greatest then the biggest number is subtracted by the smallest number  

54-3=51

Hope this helps! :)

Answer:

4

Step-by-step explanation:

[tex]116 = 2 \times 2 \times 29 \\ 40 = 2 \times 2 \times 2 \times 5 \\ common \: factors = 2 \: \: 2 \\ common \: factors \: of \: 116 \: and \: 40 \\ = 2 \times 2 = 4[/tex]

The numbers 116 and 40 share common factors of 1, 2, and 4, with 4 being their greatest common factor.

The common factor of 116 and 40 can be found by identifying the numbers that divide both without leaving a remainder. To do so, we factorize both numbers:

Next, we find the common factors by looking at the prime factors they share. Both numbers have the prime number 2 as a factor. The highest power of 2 that divides both numbers is 2², which is 4. Therefore, the greatest common factor (GCF) is 4. However, since we are looking for a common factor, not necessarily the greatest, 2 and 1 are also common factors of 116 and 40.

Answer:

Jennifer has 45 books and Jeremy has 15.

Step-by-step explanation:

15x3=45

45+15=60

Answer:

[tex] \frac{y}{x} = \frac{84}{16} \\ = > \frac{y}{x} = \frac{21}{4} [/tex]

[tex]y = \frac{21}{4} x[/tex]

I think option D will be 21x/4