7. Find the value of x in the diagram given that MNP = A XYZ. M (3x + 4) X = N P N X (6x - 11) Y​

Answer:

c

Step-by-step explanation:

explanation needed

Answer:A temperature that is below zero is negative. Integers are positive and negative whole numbers.

Step-by-step explanation:

Give me 5 star please

The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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\(\\ \sf\longmapsto \dfrac{1}{4}y-7=\dfrac{1}{9}y\)

\(\\ \sf\longmapsto \dfrac{1}{4}y-\dfrac{1}{9}y=7\)

\(\\ \sf\longmapsto \dfrac{9-4}{36}y=7\)

\(\\ \sf\longmapsto 5y=36(7)\)

\(\\ \sf\longmapsto 5y=252\)

\(\\ \sf\longmapsto y=50.4\)

Answer:

2c^3

Step-by-step explanation:

Answer:

1/2+1.5

I think. I'm sorry if I'm wrong

Step-by-step explanation:

Answer:

im an expert

Step-by-step explanation:

Hi there!

20 outmeal cookies..

Convert fraction into number term:

\(\frac{4}{5}=\frac{20}{25}=20\)

Therefore, there would be 20 oatmeal cookies.

Answer:

(C) ‍♂️‍♂️

Step-by-step explanation:

75° is the correct option

a.t.q. given above.

Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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Answer:

Step-by-step explanation:

To calculate the payback period of the investment, we need to find out how long it will take for the company to recover the initial investment of 80000000 through the cash flows generated by the investment.

Step 1: Calculate the cumulative cash flow for each year.

Year 1: 25000000

Year 2: 25000000 + 25000000 = 50000000

Year 3: 50000000 + 20000000 = 70000000

Year 4: 70000000 + 20000000 = 90000000

Step 2: Determine the year in which the cumulative cash flow exceeds the initial investment.

Based on the calculations above, the cumulative cash flow exceeds the initial investment of 80000000 in Year 4.

Step 3: Calculate the payback period.

The payback period is the time it takes for the cumulative cash flow to equal the initial investment. In this case, the payback period is the end of Year 3 plus the portion of Year 4 needed to recover the remaining investment, which is calculated as follows:

80000000 - 70000000 = 10000000

10000000 ÷ 20000000 = 0.5

Therefore, the payback period for this investment is 3.5 years.

To confirm this result, we can also calculate the cumulative cash flow at the end of Year 3 and check that it is less than the initial investment, while the cumulative cash flow at the end of Year 4 exceeds the initial investment:

Year 1: 25000000

Year 2: 25000000 + 25000000 = 50000000

Year 3: 50000000 + 20000000 = 70000000 (cumulative cash flow at end of Year 3)

Year 4: 70000000 + 20000000 = 90000000 (cumulative cash flow at end of Year 4)

Since the cumulative cash flow at the end of Year 3 is less than the initial investment and the cumulative cash flow at the end of Year 4 exceeds the initial investment, we can confirm that the payback period is between Year 3 and Year 4, or 3.5 years.

Answer:

5 is a constant

2 is a coefficient

7a + 5 + 2b is written as a sum of three terms

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Answer:

18

Step-by-step explanation:

36-10-2-6

26-8

18

\(\huge\text{Hey there!}\)

\(\mathsf{6^2 - 2(5 + 1 + 3)}\\\mathsf{= 6^2 - 2(5) - 2(1) - 2(3)}\\\mathsf{= 6^2 - 10 -2(1) - -2(3)}}\\\mathsf{= 6\times 6 - 10 - 2(1) - 2(3)}\\\mathsf{= 36 - 10 - 2(1) - 2(3)}\\\mathsf{= 26 - 2(1) - 2(3)}\\\mathsf{= 26 - 2 - 2(3)}\\\mathsf{= 24 - 2(3)}\\\mathsf{= 18}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{18}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

After answering the provided question, we can conclude that rotations equation per minute = angular speed divided by (2pi) = 1656.19 rad/min divided by (2pi) = 263.02 revolutions/min

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the value "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Secondly, we must convert the speed from miles per hour to inches per minute since we want our final result in radians per minute.

1 mile equals 63360 inches (by definition)

1 hour equals 60 minutes

Therefore:

55 miles per hour = 55 * 63360 inches per hour / (1 mile per hour) = 3,484,800 inches per minute

We can now calculate the linear speed of a point on the wheel's rim:

Wheel circumference = pi * diameter = pi * 42 in. = 131.95 in.

3.484,800 in/min linear speed

angular speed = linear speed / (diameter/2) = (3,484,800 in/minute) / (42 in./2) = 1656.19 rad/min (rounded to two decimal places)

To get the number of revolutions per minute, divide the angular speed by 2*pi:

rotations per minute = angular speed divided by (2pi) = 1656.19 rad/min divided by (2pi) = 263.02 revolutions/min

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To use the substitution method to solve the system, we need to solve one of the equations for x or y in terms of the other variable, and then substitute that expression into the other equation to get an equation in one variable that we can solve.

Let's solve the first equation for x in terms of y:

x + 4y = -9

x = -4y - 9

Now we substitute this expression for x into the second equation:

2x + 5y = -6

2(-4y - 9) + 5y = -6

Simplifying this expression, we get:

-8y - 18 + 5y = -6

-3y = 12

y = -4

Now we can substitute this value of y into either of the original equations to find x. Let's use the first equation:

x + 4y = -9

x + 4(-4) = -9

x - 16 = -9

x = 7

Therefore, the solution to the system is x = 7, y = -4.

Now let's look at the answer choices and see which one matches the equation we got by substituting x = -4y - 9 into the second equation:

A) 2(4-9)+ 5y-6 = -10 + 5y - 6 = 5y - 16

B) 21-4y-9)+5% -6 = -4y + 6

C) 2x+5(4-9)=-6 = 2x - 25 = -6

D) 2x+5(-4y-9)=-6 = 2x - 20y - 45 = -6

The answer choice that matches our equation is D), 2x + 5(-4y - 9) = -6.

The value of triple integral \(\int \int \int_{E} zdV\) where E is the solid bounded by the cylinder y^2+z^2=36 and the planes x=0, y=3x, and z=0 in the first octant is 27.

In the given question we have to evaluate the triple integral.

The given triple integral is:

\(I=\int\int\int_{E}zdv\)

E bounded by y^2+z^2=36 and plane x=0, y=3x, z=0 in the first octant change in cylindrical coordinate

Put y = rcosθ, z = rcosθ

dv =dx.rdrdθ

x^2+y^2=r^2=36

r = 6

x goes 0 to y/6

x goes to rcosθ/6

& goes to π/6 [First octant]

& r goes 0 to 6.

\(I=\int_{0}^{\pi/2}\int_{0}^{6}\int_{0}^{r\cos\theta/6}rsin\theta dxdrd\theta\)

\(I=\int_{0}^{\pi/2}\int_{0}^{6}r^2sin\theta [x]_{0}^{r\cos\theta/6}drd\theta\)

\(I=\int_{0}^{\pi/2}\int_{0}^{6}r^2sin\theta (x\cos\theta)/6drd\theta\)

\(I=\int_{0}^{\pi/2}\int_{0}^{6}r^3/6sin\theta cos\theta drd\theta\)

\(I=\int_{0}^{\pi/2}[r^4/24]_{0}^{6}\cdot sin\theta cos\theta d\theta\)

\(I=\int_{0}^{\pi/2}[(6)^4/24]\cdot sin\theta cos\theta d\theta\)

\(I=\frac{216}{4}\int_{0}^{\pi/2}sin\theta cos\theta d\theta\)

Put sinθ = t

Cosθdθ = dt

at θ = 0 ⟹t = 0

at θ = π/2 ⇒ t = 1

I = \(\frac{216}{4}\int_{0}^{1}tdt\)

\(I=\frac{216}{4}[t^2/2]_{0}^{1}\)

I = 54.1/2

I = 27

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Answer:

x=28

Step-by-step explanation:

saw it on another question similar to yours

Answer :

The answer is correct  X=28

Step-by-step explanation:

verified it on edge got it correct .

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

The answer is ⁵√a²

Step-by-step explanation:

a⅖=⁵√a²

To find the input horsepower of the engine, we can use the concept of percentage loss. If the engine has a 4% loss of power, it means the output power is 96% (100% - 4%) of the input power.

Let's denote the input horsepower as x. According to the given information:

Output power = 240 HP = 96% of input power

Mathematically, we can represent this as:

0.96x = 240

To solve for x, we divide both sides of the equation by 0.96:

x = 240 / 0.96

Calculating this, we find:

x ≈ 250

Therefore, the input horsepower of the engine is approximately 250 HP.

Answer:

The solution is:

\(\frac{3}{4}x-\frac{2}{3}\le \frac{5}{6}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:2]\end{bmatrix}\)

The solution graph is also attached.

Step-by-step explanation:

Given the expression

' 3/4 x - 2/3 less than or equal to 5/6 '.

In inequality, the phrase 'less than or equal' is represented as ' ≤ ''.

Thus, the expression is

\(\frac{3}{4}\:x\:-\:\frac{2}{3}\:\:\le \frac{5}{6}\:\)

Add 2/3 to both sides

\(\frac{3}{4}x-\frac{2}{3}+\frac{2}{3}\le \frac{5}{6}+\frac{2}{3}\)

Simplify

\(\frac{3}{4}x\le \frac{3}{2}\)

Multiply both sides by 4

\(4\cdot \frac{3}{4}x\le \frac{3\cdot \:4}{2}\)

\(3x\le \:6\)

divide both sides by 3

\(\frac{3x}{3}\le \frac{6}{3}\)

Simplify

\(x\le \:2\)

Therefore, the solution is:

\(\frac{3}{4}x-\frac{2}{3}\le \frac{5}{6}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:2]\end{bmatrix}\)

The solution graph is also attached.

Answer: X=16

Step-by-step explanation:

m<ABF + m<FBC = m<ABC

7x + 20 + 2x - 5=159     by substitution

9x + 15=159     by combining like terms

9x=144      by subtracting 15 from 159

x=16               by division

Answer: i cant see thw whoke length but if both are 8 if 32

Step-by-step explanation:

8 × 2 16 then if the other sides 8 8×2 = 16 16+16 =32

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

Step-by-step explanation:

The formula for the volume of a cone is given by:

V = (1/3)πr^2h

where r is the base radius and h is the height.

Substituting the given values, we get:

V = (1/3)π(6^2)(10)

V = (1/3)π(36)(10)

V = (1/3)(3.14)(360)

V = 377.04 cubic feet

Therefore, the volume of the cone is 377.04 cubic feet.

Answer:

kpealeakara

Mon. Nov. 16 2020

ss1

8

Answer:

8 is your answer am right or wrong

The number of right-handed players in the local little league given its percentage is 28

Based on the given task content; the number of right-handed players there can be determined by solving the percentage of right-handed players.

Number of right-handed players = Percentage of right-handed players × Total number of players in the local little league

= 40% × 70

= 40/100 × 70

= 0.4 × 70

= 28

In conclusion, the total number of right-handed players is 28

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