centimeters, decimeters, meters, and kilograms are examples of what


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If two years ago one egg cost one naira less than last year,  this year an egg cost 2 naira more than last year the cost of the 11 eggs, 2 years ago was the same as the cost of an egg last year $9.

Two or more expressions with an Equal sign is called as Equation.

Cost of egg last year  = x

Two years ago an egg cost  1 less than last year.

Hence cost of egg  Two years ago = x - 1

the cost of 11 eggs two year ago = 11 (x - 1)

his year an egg costs  2 more than last year .

Hence cost of egg this year = x + 2

cost of eight eggs this year = 8(x + 2

Equate

11 (x - 1) = 8(x + 2)

11x - 11 = 8x + 16

3x  = 27

x = 9

Hence, the cost of the egg last year is $9.

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Answer:

9(-5n + 40) , c = 2 and n = 8

9[(-5)(8) + 40] - substitute n

9(-40 + 40) - solve parenthesis

9(0) - solve parenthesis again

9 - answer

Step-by-step explanation:

Answer:

C. X = 3

Step-by-step explanation:

Multiply both sides by 5 to remove fractions

2x = 6

divide by 2

x = 3

a) To find the volume of the torus using the shell method, the integral can be set up as ∫2πy(2πr)dy.

b) To find the volume of the torus using the washer method, the integral can be set up as ∫π(R²-r²)dx.

c) The volume of the torus can be found by evaluating one of the two integrals obtained in parts (a) and (b).

a) The shell method involves considering cylindrical shells with height dy and radius y. Since the torus is formed by revolving a circle of radius 3 centered at (8,0) about the y-axis, the radius of each shell is y and the height is 2πr, where r is the distance from the y-axis to the circle. Therefore, the integral to find the volume of the torus using the shell method is ∫2πy(2πr)dy.

b) The washer method involves considering infinitesimally thin washers with inner radius r and outer radius R. In the case of the torus, the inner radius is the distance from the y-axis to the circle, which is y, and the outer radius is the radius of the circle, which is 3. Therefore, the integral to find the volume of the torus using the washer method is ∫π(R²-r²)dx.

c) To find the volume of the torus, one of the two integrals obtained in parts (a) and (b) can be evaluated. The specific integral to evaluate depends on the chosen method (shell or washer). By substituting the appropriate values into the integral and evaluating it, the volume of the torus can be calculated.

Note: The specific calculations to find the volume of the torus and the corresponding numerical result were not provided in the question, so the final answer in cubic units cannot be determined without further information.

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The main answer is: Exploded pie chart.
In an exploded pie chart, each slice is slightly separated or "exploded" from the whole chart.

This separation is achieved by pulling one or more slices away from the center of the pie chart, creating a visual effect of detachment or emphasis on certain categories.
The purpose of using an exploded pie chart is to highlight specific data points or categories in the chart. By pulling out one or more slices, it draws attention to those particular segments and makes them more visually prominent compared to the rest of the chart.
The degree of separation or explosion can vary depending on the design and intent of the chart. Some slices may be slightly pulled out, while others can be significantly detached to create a more pronounced effect. The separation is typically uniform across all slices to maintain visual consistency.

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Answer:

22/33,2/3 and 6/9=0.66666666666666666 or 0.6(bar) as asked in question

3/5 is equal to 0.6 not 0.66666666

Pls mark as brainliest

Wait, is this a question?

150

450

1,350

Sorry if that's not the question lol

After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9  .

We first simplify each expression inside the parentheses :

that means :

⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;

⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³)  ;

⇒ (x + 1/x² - 9) = (-9 + x + 1/x²)  ;

Now we substitute these expressions into original equation/expression :

we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)

Simplifying further ,

we get ;

⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x²  ;

On Combining the like terms, we get ;

⇒ 4x - 4/x² - 5/x³ + 9

Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.

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The given question is incomplete , the complete question is

Adding and subtracting rational expressions, Simplify the rational expression  (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9)  .

Answer:

Since there is a curve, I believe it is a function.

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

Answer:

20 < x < 38.

Step-by-step explanation:

An obtuse angle has a value between 90 and 180.

90 < 5x - 10 < 180

5x - 10 > 90

5x > 100.

x > 20.

5x - 10< 180

5x < 190

x < 38

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Check the picture below.

\(sin(\theta )=\cfrac{\stackrel{opposite}{9}}{\underset{hypotenuse}{15}}~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{12}}{\underset{hypotenuse}{15}}~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{9}}{\underset{adjacent}{12}} \\\\\\ cot(\theta )=\cfrac{\stackrel{adjacent}{12}}{\underset{opposite}{9}}~\hfill sec(\theta )=\cfrac{\stackrel{hypotenuse}{15}}{\underset{adjacent}{12}}~\hfill csc(\theta )=\cfrac{\stackrel{hypotenuse}{15}}{\underset{opposite}{9}}\)

Answer: CD=7

Step-by-step explanation: By the definition of congruence, AB=CD.

Substitute the given expressions for AB and CD.

x+5=2x+3

Subtract x from both sides.

5=x+3

Subtract 3 from both sides.

2=x

Substitute x=2 back into the expression for CD and simplify.

CD=2(2)+3=7

Therefore, CD=7.

       I hope this helps.                                          

                                                                                      ariana          

Answer:

hundredths place

Step-by-step explanation:

because after the decimal it starts in tenth place and you want enough room to make it -0.17

Answer:

Step-by-step explanation:

b b

The circle P have measure of arc AD is equal to 130°, angle APD = 130°. Angle EBC = 50°. Arc AB = 70°. The area of the sector APD is equal to 10.2 square units

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc AD = 2(65)

arc AD = 130°

also, angle APD = 130° {angle subtended by arc AD at the center}

angle EBC = 100/2

{angle between the intersection of a chord and a tangent is equal to the intercepted arc divided by 2}

angle EBC = 50°

arc CD = 2(30) = 60°

arc AB = 360° - arc(CD + BC + AD)

arc AB = 360° - (60 + 100 + 130)°

arc AB = 360° - 290°

arc AB = 70°

area of sector = (angle at the center)/360° × π × radius²

area of sector APD = 130/360 × 22/7 × 3 units × 3 units

area of sector APD = 10.2 square units

Therefore, the circle P have measure of arc AD is equal to 130°, angle APD = 130°. Angle EBC = 50°. Arc AB = 70°. The area of the sector APD is equal to 10.2 square units

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The dimensions of the original rectangle are _______ meters (width) and _______ meters (length). [Please provide the calculated values here.]

1. Given:
- The length of the original rectangle is 3 times its width.
- The area of the new rectangle is 68 square meters after increasing the length by 2 meters and decreasing the width by 1 meter. 2. Required:
- The dimensions of the original rectangle. 3. Equation:
Let's represent the width of the original rectangle as 'w' meters. Then, the length of the original rectangle would be '3w' meters.
The area of a rectangle is calculated by multiplying its length by its width:
Area = Length * Width

4. Solution:
Given that the area of the new rectangle is 68 square meters, we can set up the equation:
(3w + 2) * (w - 1) = 68. Expanding the equation, we get: 3w^2 - w - 70 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. After finding the value of 'w', we can substitute it back into the equation to find the length.

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Answer:

The third answer

Step-by-step explanation:

Hey there!

(8x - 4) + (-2x + 3)

= 8x - 4 + (-2x) + 3

= 8x - 4 - 2x + 3

COMBINE the LIKE TERMS

= (8x - 2x) - (4 + 3)

= 8x - 2x - 4 + 3

= 6x - 1

Therefore, your answer is: 6x - 1

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Popular Problems Algebra Evaluate Using Scientific Notation (7.1*10^-5)(6.7*10^-6)

(

7.1

⋅

10

−

5

)

(

6.7

⋅

10

−

6

)

Group coefficients together and exponents together to multiply numbers in scientific notation.

(

7.1

⋅

6.7

)

(

10

−

5

⋅

10

−

6

)

Multiply

7.1

by

6.7

.

47.57

(

10

−

5

⋅

10

−

6

)

Use the power rule

a

m

a

n

=

a

m

+

n

to combine exponents.

47.57

⋅

10

−

5

−

6

Subtract

6

from

−

5

.

47.57

⋅

10

−

11

Write

47.57

⋅

10

−

11

in proper scientific notation.

4.757

⋅

10

−

10

Answer:

4026

Step-by-step explanation:

Remember PEMDAS:

P - parenthesis

E - exponents

MD - Multiplication and Division (Left to Right)

AS - Addition and Subtraction (Left to Right)

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

Start off by doing the parenthesis (7.1 x 10-5)

We must perform multiplication first so 7.1 x 10 is 71. From there you subtract 5 so 71 - 5 is 66!

So far we have: 66(6.7 x 10-6)

But we aren't done yet!

You must solve (6.7 x 10-6)

Same goes here, multiplication is done first so we would do 6.7 x 10 which is 67. Next, 67-6 which is 61.

We now have (66)(61)

When there is no sign of multiplication or division and the numbers are next to each other like this, you perform multiplication. So, 66x61 is 4026.

Thus, the answer is 4026!

P.S please mark brainiest, this took time <3

The vectors has a magnitude of square root of 40 and a direction of θ = 251.565° is u = {-2, -6}. Option C

To find the vectors that has the stated magnitude, we check each vectors;

1. √(-7)² + (-2)² = √49 + 4 = √53 ≠ √40

Θ = arctan (-2/-7) = 15. 945 ≠ 251.565

Therefore {-7, -2} and {-2, -7} do not fit.

2. √(-6)² + (-2)²  = √36 + 4  = √40

tan Θ = -2/-6 = 1/3

Θ = arctan (1/3) + 180° = 18.43° ≠ 198.43°. Not it

3. √(-2)² + (-6)²  = √4 + 36  = √40

tan Θ = -6/-2 = 3

Θ = arctan (3) + 180° = 71.565° ≠ 251. 565°

The above answer is based on the question below as seen in the picture;

Which of the following vectors has a magnitude of square root of 40 and a direction of θ = 251.565°

a. u = (-7, -2)

b. u = (-6, -2)

c. u = (-2, -6)

d. u = (-2, -7)

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Answer:

Step-by-step explanation:

Given:

Geometric mean of two digit = √ab

Answer 1;

Geometric mean of [8,18] = √(8)(18)

Geometric mean of [8,18] = √144

Geometric mean of [8,18] = 12

Answer 2;

Geometric mean of [3,7] = √(3)(7)

Geometric mean of [3,7] = √21

Geometric mean of [3,7] = 4.58

Answer 3;

Geometric mean of [5,8] = √(5)(8)

Geometric mean of [5,8] = √40

Geometric mean of [5,8] = 6.32

Answer 4;

Geometric mean of [8,4] = √(8)(4)

Geometric mean of [8,4] = √32

Geometric mean of [8,4] = 5.65

Answer 5;

Geometric mean of [6,3] = √(3)(6)

Geometric mean of [6,3] = √18

Geometric mean of [6,3] = 4.24

Answer 6;

Geometric mean of [2,8] = √(2)(8)

Geometric mean of [2,8] = √16

Geometric mean of [2,8] = 4

It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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Diameter is the length of the line segment that divides a circle in half, and circumference is the length of one complete "lap" around a circle.

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The value of g(x) =  (x/2)²

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0.

given that: f(x)=x²

As by looking at the graph, we know that g(2) = 1.

So, we have

g(2) = K*f(2) = K*2² = 1

or, K*2² = 1

or, K* 4=1

or, K= 1/4

Thus,

g(x) = (1/4)*f(x)

      = (1/4)*x²

      = (x/2)²

Hence, g(x) =  (x/2)²

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