A soup can has a radius of 4.3 cm and a height of 11.6 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter?A. 1816.8B. 49.9C. 168.4D. 673.8

V = d/t

Speed = distance/time

V = 8100km/9hr = 900Km/hr

Answer:

V = 900 km/h

Answer:

\((x-5)-(x-1)=-4\)

\(=2x-4\)

\((x-5)+(x+1)=-6\)

\((x-5)+(x-1)=2x-6\)

Step-by-step explanation:

In each of the expressions we first need to open the brackets and change the sign according to the sign preceding the bracket. After that we perform simple arithmetic to find the result.

\((x-5)-(x-1)=x-5-x+1\)

\(=-4\)

\((x-5)+(x+1)=x-5+x+1\)

\(=2x-4\)

\((x-5)-(x+1)=x-5-x-1\)

\(=-6\)

\((x-5)+(x-1)=x-5+x-1\)

\(=2x-6\)

The answers are

\((x-5)-(x-1)=-4\)

\((x-5)+(x+1)=2x-4\)

\((x-5)+(x+1)=-6\)

\((x-5)+(x-1)=2x-6\)

Answer:

Step-by-step explanation:

I got it right on edge 2022!

Answer:

The answer is "16%".

Step-by-step explanation:

Its empirical rule suggests which 68% of the very first standard deviation, 95% of the very first 2 standard deviations or 99.7% of the very first three standard deviations of the variance average fall.

\(z =647 \\\\z=\frac{(647-547)}{100}= \frac{100}{100}=1\)

The empirical rule indicates the first standard deviation around 68 percent.

So,

\(=\frac{(100-68)}{2} \\\\=\frac{32}{2} \\\\= 16 \% \ drop \ 647 \ and \ above\)

Answer:

y = r / (k+v)

Step-by-step explanation:

First, you use the distributive property and take out y: y(k+v)=r

Then you divide both sides by (k+v): y(k+v)/(k+v) = r/(k+v)

Finally you get y = r / (k+v)

The maximum area of the tile to contain both grounds is 12x²y²

From the question, we have the following parameters that can be used in our computation:

Area of ground A = 12x^2y sq. units

Area of ground B = 6xy^2sq units

Rewrite these areas properly

So, we have the following representation

Area of ground A = 12x²y sq. units

Area of ground B = 6xy² sq units

Express the areas as the products of their prime factors

This gives

Area of ground A = 2 * 2 * 3 * x * x * y

Area of ground B = 2 * 3 * x * y * y

From the above products, we have

Least common multiple = 2 * 2 * 3 * x * x *y * y

Evaluate the products

Least common multiple = 12x²y²

This represents the greatest area

Hence, the greatest area is 12x²y²

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Answer:

12

Step-by-step explanation:

5^2+12^2=13^2. It is a right triangle

Answer:

(B) (0.396, 1.712)

Step-by-step explanation:

From the information given;

Confidence Interval = 0.95

Significance Level \(= 1 - 0.95 = 0.05\)

The confidence interval for regression coefficient beta (whereby in this case it is the coefficient of the diameter) is expressed by:

= \(( Beta ^- \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ), Beta^+ \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ))\)

From the regression coefficient, the estimated value of beta^  = 1.054

\(= (1.054 - t_{29,0.025} *(0.322), 1.054 + t_{29,0.025}*(0.322))\)

\(t_{229,0.025} = 2.0452\\\\ = \mathbf{(0.396, 1.712)}\)

Answer: 1/2 i think

Step-by-step explanation:

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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cos(x) (tan(x) + cot(x))

Recall that tan(x) = sin(x)/cos(x) and cot(x) = 1/tan(x) = cos(x)/sin(x). Then

cos(x) (sin(x)/cos(x) + cos(x)/sin(x)) = sin(x) + cos²(x)/sin(x)

Write both terms with a common denominator and combine the fractions:

sin²(x)/sin(x) + cos²(x)/sin(x) = (sin²(x) + cos²(x))/sin(x)

Recall the Pythagorean identity,

sin²(x) + cos²(x) = 1

so our expression reduces to

1/sin(x)

Finally, recall that csc(x) = 1/sin(x) and we're done. So

cos(x) (tan(x) + cot(x)) = csc(x)

Answer:

this is my another account on brainly

Answer:

500

Step-by-step explanation:

Attached Picture...

The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;

They can be;

supplementary

alternate exterior

alternate interior

vertically opposite

and corresponding

The property between angle 3 and angle 6 is that they are alternate interior to each other.

Therefore angle 3 and angle 6 are alternate interior angles.

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Answer:You would have to multiply

Answer:

a) 1/2,  1/2,  1/2

b) T

   R

   S

c) DEF and TRS are similar

Step-by-step explanation:

a) TR/DE = 9/18 = 1/2

   RS/EF = 8/16 = 1/2

   TS/DF = 5/10 = 1/2

b) E is the smallest angle on the DEF, and it corresponds w the smallest angle on TRS, R. D corresponds to T, and F to S

they r similar figures -  u can see it if u tilt TRS counterclockwise nd flip it

c) they r similar bcuz u can see in part a) that they all have proportional side lengths so yea theyre similar

Step-by-step explanation:

Given the equation;

3(x-2) = 4

A sequence of steps for solving the equation is as shown;

Step 1: Open the parenthesis by applying distributive law to distribute 3 over x and 2 as shown;

3(x-2) = 4

3(x)- 3(2) = 4

3x - 6 = 4

Step 2: Add 6 to both sides of the equation (Addition property)

3x-6+6 = 4+6

3x = 10

Step 3: Division property of equality. Divide both sides by 3;

3x = 10

3x/3 = 10/3

x = 10/3

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation,

let's define the vector \(x(t) = [x1(t), x2(t)]\)and rewrite the equation in the form

\(\frac{dx(t)}{dt } = Ax(t)\),

where A is a 2x2 matrix.

Let's express the given equation in matrix-vector form:

\(\frac{d}{dt} t(x1(t)) [2 ,1] [x1(t)]\)

\(\frac{d}{dt} (x2(t)) = [4 3] \times [x2(t)]\)

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If any eigenvalue has a positive real part, the system is unstable.

If there is at least one eigenvalue with zero real part, the system is neutrally stable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(\Delta (A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

The eigenvalues obtained will give us insight into the stability of the system.

d) Once we have computed the eigenvalues and eigenvectors, we can express matrix A in terms of its eigenvectors and eigenvalues.

Let's assume

\(A = PDP^{(-1)\),

where P is the matrix whose columns are the eigenvectors of A, and D is a diagonal matrix with the eigenvalues of A on the diagonal.

e) Finally, we can compute the solution x(t) by utilizing the knowledge gained in previous steps.

We can express x(t) as

\(x(t) = P \times exp(Dt) \times P^{(-1) }\times x(0)\),

where exp(Dt) is the matrix exponential of D.

By evaluating this expression, we obtain the mathematical expression of x(t) in terms of the initial condition x(0).

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Answer:

3w+4=__x 11

Step-by-step explanation:

Answer:

Ken has $69 at the end ;)

Step-by-step explanation:

Add 192 and 84 together.

That gets 276.

It says Jamal has 3 times ken so lets say ken = x

Jamal = 3x

x+3x=4x

4x = 276

x = 276 / 4

x = 69 ;)

Ken has $69 at the end.

Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

Answer:

Step-by-step explanation:it is 5/5 because it is a whole number and all the others aren’t

Answer:

30 peanuts

Step-by-step explanation:

2 peanuts : 3 raisins

? peanuts : 45 raisins

the above can also be written out like this \(\frac{2}{3}\)=\(\frac{?}{45}\)

now cause of the rules of math 2 times 45 is equal to 3 times ?

so you can do 2 times 45 divided by 3 to get ?  

\(\frac{2X45}{3}\)=30

? is 30

Hope this helps!

(And i wouldn't mind another brainlest)

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.

Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.

To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:

(20 + x) / (35 + x) = 80 / 100

Cross-multiplying, we get:

100(20 + x) = 80(35 + x)

Expanding and simplifying:

2000 + 100x = 2800 + 80x

Subtracting 80x from both sides:

20x = 800

Dividing by 20:

x = 40

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

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Complete question is;

An advertising banner has four sections, as modeled in the attached image. Two sections are congruent trapezoids, and two sections are congruent right triangles. Which measurement is the best estimate of the area of the banner in square meters?

Answer:

6 m²

Step-by-step explanation:

Since we are told that there are two congruent trapezoid, it means that they will have same base of 1m.

This Means the total base of the entire triangle will be;

Base = 1 + 1¾ + 1 + 1¾ = 5.5 m

Height of main triangle = 2 m

Thus,

Area = ½ × 5.5 × 2 = 5.5 m²

We are looking for best estimate, so let's approximate to the nearest whole number to get 6 m²

Answer:

6 m²

Step-by-step explanation:

Since we are told that there are two congruent trapezoid, it means that they will have same base of 1m.

his Means the total base of the entire triangle will be;

Base = 1 + 1¾ + 1 + 1¾ = 5.5 m

Height of main triangle = 2 m

Now you have

Area = ½ × 5.5 × 2 = 5.5 m²

We are looking for best estimate, so if you round 5.5 now remember 5 or more raise the score 4 or less let it rest leaving you with 6 m².

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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The surface area of the composite figure is 662 square cm

The surface area of the sum of all the area of the faces of a figure. The given figure is made up of two rectangular prism.

The surface area of a rectangular prism is given as;

TSA = 2(lw + wh + lh)

l is the length

w is the width

h is the height

Determine the required surface area

TSA = 2[(3)(3)+3(8)+3(8)]+2(7(10)+7(12)+10(12)]

TSA = 2(9+48)+2(190+84)

TSA = 114 + 548

TSA = 662 square cm

Hence the surface area of the composite figure is 662 square cm

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