convert 9472 gram in kilogram ​

\(\boldsymbol{14}\) even integers lie between \(\boldsymbol{\frac{-20}{3},\frac{37}{5}}\)



Integers are whole numbers including negative of whole numbers.

Integers divisible by \(\boldsymbol{2}\) are known as even integers.

\(\frac{-20}{3}=-6.67\\ \frac{37}{5}=7.4\)

Even integers that lie between \(\frac{-20}{3},\frac{37}{5}\) are \(-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7\)

So, \(\boldsymbol{14}\) even integers lie between \(\frac{-20}{3},\frac{37}{5}\)

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The equation in standard form for the circle with center (5,0) passing through (5, 9/2) is 4x² + 4y² - 40x + 19 = 0

Given that

Center = (5, 0)

Point on the circle = (5. 9/2)

The equation of a circle can be expressed as

(x - a)² + (y - b)² = r²

Where

Center = (a, b)

Radius = r

So, we have

(x - 5)² + (y - 0)² = r²

Calculating the radius, we have

(5 - 5)² + (9/2 - 0)² = r²

Evaluate

r = 9/2

So, we have

(x - 5)² + (y - 0)² = (9/2)²

Expand

x² - 10x + 25 + y² = 81/4

Multiply through by 4

4x² - 40x + 100 + 4y² = 81

So, we have

4x² + 4y² - 40x + 19 = 0

Hence, the equation is 4x² + 4y² - 40x + 19 = 0

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The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.

Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.

To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.

Let's assume the loan amount is denoted by P.

The formula to calculate the future value of a loan with interest is:

FV = P(1 + r)^n

Where:

FV = Future value (total amount repaid)

P = Principal amount (maximum price of the car)

r = Interest rate per period (9.25% or 0.0925)

n = Number of periods (six years)

Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:

$210,000 = P(1 + 0.0925)^6

Now we can solve for P:

P = $210,000 / (1 + 0.0925)^6

Evaluating this expression, we find:

P ≈ $126,318.29

Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

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Answer:

D

Step-by-step explanation:

1/5 = 20%

3/10 = 30%

15%<35%

30%<35%

20%<35%

Answer:f=103.444

Step-by-step explanation:

took this test and got an A++

The value of the function \(f(x)=7+2x\)  for \(f(7)\) is 21.

The given functions are \(f(x)=7+2x\) and \(g(x)=5x-2\).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

To find \(f(7)\), substitute \(x=7\) in \(f(x)=7+2x\), we get

\(f(7)=7+2(7)\)

\(f(7)=21\)

Therefore, the value of the function \(f(x)=7+2x\)  for \(f(7)\) is 21.

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Answer:

I couldn't fuigure out the answer but here is a link that may help

Link:

https://brazosport.edu/Assets/faculty/agut-ioana/intermediate-algebra/33.%20Solving%20Quadratic%20Equations.pdf

Answer:

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = - 120\)

Step-by-step explanation:

By the rule of Integer multiplications,

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = [ (-1) \times (-2) ] \times [(-3) \times (-4)] \times (-5)\)

                                                      \(= [2] \times [12] \times (-5)\)

                                                      \(= -120\)

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Answer: 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)\)

Answer: Boy: 48, Sister: 16

Step-by-step explanation:

You could write a system of equations... x represents the boy and y represents the sister.

x = 3y

x+y=16

You can use substitution. Replace the x in the second equation with 3y since they have the same value.

(3y)+y=16

4y=16

y=16

Now, you can plug y into either equation. I'll use the first one.

x= 3(16)

x= 48

The function is nonlinear because: D. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

A nonlinear function can be defined as a type of function whose rate of change (increase or decrease) are not the same i.e they are different.

The rate of change between 2 and 3 trees is given by:

R₂₃ = (180 - 120)/(3-2)

R₂₃  = 60.

Also, the rate of change between 3 and 5 trees is given by:

R₃₅ = (290 - 180)/(5-3)

R₃₅ = 110/2

R₃₅ = 55.

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Complete Question:

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees. Which best describes why the function is nonlinear?

The function is nonlinear because: D. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

What is a nonlinear function?

A nonlinear function can be defined as a type of function whose rate of change (increase or decrease) are not the same i.e they are different.

The rate of change between 2 and 3 trees is given by:

R₂₃ = (180 - 120)/(3-2)

R₂₃ = 60.

Also, the rate of change between 3 and 5 trees is given by:

R₃₅ = (290 - 180)/(5-3)

R₃₅ = 110/2

R₃₅ = 55.

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Complete Question:

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees. Which best describes why the function is nonlinear?

ok

603.98 -------------------------- 100%

x -------------------------- 8.5%

x = (8.5 x 603.98) / 100

x = 5133.83/100

x = 51.33

Total cost = 603.98 + 51.33

Result

Total cost = $655.3

Answer:

39 & —34

Step-by-step explanation:

ATTACHED PICTURE!

The cost of running the electric water heater for one month (30 days) would be $36, assuming the electricity costs 12 cents per kilowatt-hour.

To calculate the cost of running the electric water heater for one month, we need to determine the total energy consumption and multiply it by the cost per kilowatt-hour.

The water heater consumes 5 kW for 2 hours per day, so the daily energy consumption can be calculated as follows:

Daily energy consumption = Power (kW) × Time (hours) = 5 kW × 2 hours = 10 kWh

Next, we calculate the total energy consumption for one month (30 days):

Total energy consumption = Daily energy consumption × Number of days = 10 kWh/day × 30 days = 300 kWh

Finally, we multiply the total energy consumption by the cost per kilowatt-hour (12 cents/kWh) to find the cost of running the water heater for one month:

Cost = Total energy consumption × Cost per kilowatt-hour = 300 kWh × $0.12/kWh = $36

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8 less than 3 times a number is at most 30 can be written as 8 < 3N ≤ 30

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Since 8 less than 3 times a number is at most 30

Let the number be N

Thus, 8 less than 3 times a number is at most 30 can be written as:

8 < 3×N  ≤ 30

8 < 3N ≤ 30

Note: at most means less than or equal (≤)

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Answer:y=-5x-2

Step-by-step explanation:

This will have a negative slope since the line goes from left to right. Use rise over run to find the slope of -5 and look at the y axis where it intersects to get -2

Have a great day!

On a sloping ceiling, beams run up the slope and are 14 inches deep. the average ceiling height is 15 feet. according to nfpa 72, the smoke detector spacing should be a of smooth ceiling spacing

Smooth ceiling spacing

If the ceiling slope is less than 30°, smoke detectors are spaced based on height at the ceiling. A “smooth” ceiling is uninterrupted by continuous projections extending more than 4 inches below the ceiling, the spacing changes when it is interuppted with bolts or other projections.

Therefore, On a sloping ceiling, beams run up the slope and are 14 inches deep. the average ceiling height is 15 feet. according to nfpa 72, the smoke detector spacing should be a of smooth ceiling spacing

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A. x + 3

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EXPLANATION:

\(x^{2} +5x+6\\ = (x+2) * (x + 3)\)

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Therefore:

The correct answer: A. x + 3.

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Answer: A) 2.95 units

Step-by-step explanation:

The diameter of a circle is twice the radius.  Thus, simply do 5.9/2 to get that the radius is 2.95 units long.

Hope it helps <3

Answer:

your answer would be A-2.95

5.9/2=2.95

Step-by-step explanation:

The volume of water in the cone-shaped paper cup is 25.12 cubic centimeters.

To calculate the volume of water in the cone-shaped paper cup, we can use the formula for the volume of a cone:

V = (1/3) * π * r^2 * h

Given:

Height of water (h) = 6 cm

Diameter of the top surface of water (2r) = 4 cm

First, we need to find the radius (r) of the top surface of the water. Since the diameter is given as 4 cm, the radius is half of that:

r = 4 cm / 2 = 2 cm

Now we can substitute the values into the volume formula and calculate the volume of water:

V = (1/3) * 3.14 * (2 cm)^2 * 6 cm

V = (1/3) * 3.14 * 4 cm^2 * 6 cm

V = (1/3) * 3.14 * 24 cm^3

V = 25.12 cm^3.

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Answer: 5 hours

Step-by-step explanation:

As both of them sailed for the same time, take the speed and distance of either of them to find the time they traveled:

Niles' Time = Distance / speed

= 30 / 6

= 5 hours

Bob's time = 70 / 14

= 5 hours  

Answer: The answer is 4. 7+(-3) is like 7 minus 3.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

since the 3 is negative, you need to take 3 away from 7 = 4

50%

since 98/2 = 49

Thats it

Answer:

In step 1 she multiplied the numerators together and denominators together instead she should have done this

30*5 = 12*x

150=12x

150÷12=x

12.5=x

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

To find which cylinder has the greater volume, we need to find out the volume of each one.

As we all know that the formula used to determine the volume of a cylinder is:

V = The base area*the height

<=> V = π\(r^{2}\)h (cubic units)

For example, in my attached photo, we will use this formula to find the volume of each one.

The base area = π\(r^{2}\) = π\(3.5^{2}\) = 38.46 square in

The height = 8.5 in

=> the volume of Cylinder A

= The base area*the height

= 38.46*8.5

= 326.91 cubic in

The base area = π\(r^{2}\) = π\(2.7^{2}\) = 22.89 square in

The height = 11 in

=> the volume of Cylinder A

= The base area*the height

= 22.89*11

= 251.79  cubic in

Hence, Cylinder B has the greater volume

Answer:

Step-by-step explanation:

Step one:

given data

the cost of the laptop= $800

initial payment= $200

monthly payment = $60

let the number of months be x

the expression for the situation is the function for the equation of line

y=mx+c

Step two:

the expression for the situation is

800=200+60x

solve for x

800-200=60x

400=60x

divide both sides by 60

x=400/60

x=6.7

Approximately 7 months

The filled van has a height of 4 feet, indicating the vertical dimension from the floor to the top of the crates inside.

To determine the height of the van that is filled with crates, we need to consider the volume of the crates and the total volume of the van.

Given that each crate has a volume of one cubic foot, and there are 30 crates covering the floor of the van, the total volume occupied by these crates is 30 cubic feet.

Now, to find the remaining volume inside the van, we subtract the volume of the crates from the total volume of the van. The van has a volume of 150 cubic feet, and we have already accounted for 30 cubic feet occupied by the crates.

Remaining volume inside the van = Total volume of the van - Volume occupied by the crates

Remaining volume = 150 cubic feet - 30 cubic feet

Remaining volume = 120 cubic feet

Since the van is shaped like a rectangular prism, the height of the van represents the vertical dimension.

To find the height of the van, we divide the remaining volume by the area of the van's base. The base area can be found by dividing the remaining volume by the length and width of the van.

Given that the van is completely filled with crates, the base area is equal to the area of 30 crates.

Base area = Volume occupied by the crates / Height

Base area = 30 cubic feet / Height

Now, we can solve for the height:

Height = Volume of the remaining space / Base area

Height = 120 cubic feet / 30 cubic feet

Height = 4 feet

Therefore, the height of the van that is filled with crates is 4 feet.

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Answer:

the first option - 48s + 4.75

Step-by-step explanation:

The description of the parts of the expression are

The expression is given as:

1/2(2a + 1)(a + 3)

The above expression has three factors and the factors are 1/2, 2a + 1 and a + 3

This means that the entire expression is the product of three factors

Also, we have:

2a + 1

The above expression is a sum expression, and the terms are 2a and 1

This means that on its own, (2a+1) is a sum with two terms

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Complete question

Consider the expression 1/2(2a + 1)(a + 3)

Complete 2 descriptions of the parts of the expression.

The entire expression is the product of

On its own, (2a+1) is a sum with

answer two terms and three factors have a good day friends!

Step-by-step explanation:

Answer:

\(y=\frac{3}{5}x+\frac{1}{5}\)

Step-by-step explanation:

Using the points \((3,2)\) and \((8,5)\),

\(m=\frac{5-2}{8-3}=\frac{3}{5} \\ \\ y-2=\frac{3}{5}(x-3) \\ \\ y-2=\frac{3}{5}x-\frac{9}{5} \\ \\ y=\frac{3}{5}x+\frac{1}{5}\)