A vessel has 4 liters and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?
Please answer

Answer:

Perimeter = 45.8m

Area = 63.61m²

The perimeter and area of the figure are 38 m and 63.61 m² respectively

Given data:

The figure consists of 2 rectangles.

The dimensions of the first rectangle is L = 9.2 m and W = 3.9 m.

The dimensions of the second rectangle is L = 5.9 m and W = 4.7 m.

So, the total perimeter of the figure is represented as P.

The value of P = 9.2 + 3.9 + 9.8 + 4.7 + ( 9.2 - 4.7 ) + ( 9.8 - 3.9 )

P = 27.6 + 4.5 + 5.9

P = 38 m

The area of the figure is represented as A.

A = ( 9.2 x 3.9 ) + ( 5.9 x 4.7 )

A = 35.88 m² + 27.73 m²

A = 63.61 m²

Hence , the area of the rectangular figure is A = 63.61 m².

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The area of the shaded region of the rectangle is approximately 573.92 ft².

The figure in the image composes of a semi-circle inscribed inside of a rectangle.

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of rectangle = length × width

Area of semi-circle = 1/2 × πr²

Hence:

Area of shaded region = ( length × width ) - ( 1/2 × πr² )

From the diagram;

Length of the rectangle = 40ft

Width = 20ft

Radius of the semi-circle = 12ft

Plug these values into the above formula:

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 1/2 × 3.14 × 144 )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the shaded region measures 573.92 ft².

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The perimeter of the trapezoid is given as follows:

44 cm.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The missing side is a side of a right triangle, in which the other side is of 18 - 10 = 8 cm, while the hypotenuse is of 10 cm, hence:

8² + h² = 10²

64 + h² = 100

h² = 36

h = 6.

Hence the perimeter is given as follows:

P = 18 + 10 + 10 + 6 = 44 cm.

The trapezoid is given by the image presented at the end of the answer.

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Answer: when x= 0,y= 6

when y= 0,x=3 AND the line type is solid !!

Step-by-step explanation:

The intercepts of the graph are (3, 0) and (0, 6) with the upper part of the graph shaded.

Inequality are equations not separated by an equal sign. Given the inequality expression;

-6x - 3y ≤ -18

For the x-intercept: This is the point where the value of y is zero, hence;

-6x - 3(0) = -18

-6x = -18

x = 3

The x-intercept of the function is (3, 0)

For the y-intercept: This is the point where the value of x is zero, hence;

-6(0) - 3y = -18

-3y = -18

y = 6

The y-intercept of the function is (0, 6)

Next is to plot the inequality graph

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Answer:

14

Step-by-step explanation:

In LM, M=1

ln LN, N=4

MN=14

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following functions:

We calculate each operation, just like this:

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

Answer:

The missing term in the output of the function \(g(f(x))\) is -18.

\(g(f(x))=10x^2-18\)

Step-by-step explanation:

In mathematics, function composition is a term that encompasses a relationship between two functions wherein the output of one function is used as the input for another function. This relationship combines two functions to form a single function, known as a composite function. For future reference, function composition may also be denoted by a small circle, see below:

\((g\circ f)(x)=g(f(x))\)

In the given problem, we must evaluate the composite function \(g(f(x))\) / \((g\circ f)(x)\) to identify the unknown term.

With composite functions, we begin evaluating from the inside. To evaluate \(g(f(x))\), we must substitute the output of the function \(f(x)\) (given as the expression \(2x^2-5\)) as the input (\(x\)) for the function \(g(x)\):

\(g(f(x))=g(2x^2-5)\)

Now, using \(f(x)\) as the input (\(x\)) for the function \(g(x)\) (given as the expression \(5x+7\)), we can substitute \(2x^2-5\) into the output for the function \(g(x)\):

\(g(f(x))= 5(2x^2-5)+7\)

From here, we can go ahead and distribute the 5:

\(g(f(x))=10x^2-25+7\)

Combine like terms:

\(g(f(x))=10x^2-18\)

With the composite function evaluated, we can identify our missing term as \(-18\).

Some expenditures and revenues in personal budget are listed below.

Expenditures:

1. Housing: This includes rent or mortgage payments, property taxes, and utility bills.

2.Transportation: This includes the cost of owning and maintaining a vehicle, as well as any public transportation costs.

3. Food: This includes the cost of groceries and dining out.

4. Insurance: This includes health, car, and homeowner's or renter's insurance.

5. Personal Care: This includes expenses such as clothing, grooming, and personal hygiene products.

6. Entertainment: This includes expenses for hobbies, recreation, and leisure activities.

Revenues:

1. Salary: The money earned from a job or employment.

2. Investment Income: This includes money earned from stocks, bonds, and other investments.

3. Business Income: This includes money earned from a small business or self-employment.

4. Rent Income: This includes money earned from renting out property or other assets.

5. Government Benefits: This includes money received from programs such as Social Security and unemployment benefits.

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Answer:

25

Step-by-step explanation:

-53 + n= -28

-53 + 53 + n = -28 + 53

n = 25

Answer: -81

Step-by-step explanation: -53 + n = -28

                                            = n = -53/-28

                                            = -81 as you should put the sign of the bigger no.

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Value: 4; Case: Case 4

Case 4 matches the value 4, which is the number of days in a week.

Case 4 matches the value 4, which is the number of days in a week. This means that for any given week, there are always four days. To determine which case corresponds to which value, we must first understand the context of the cases. Case 1 is the number of sides on a square, Case 2 is the number of legs on a spider, Case 3 is the number of sides on a triangle, Case 4 is the number of days in a week, and Case 5 is the number of sides on a pentagon. By understanding the context of each case, we can easily determine which case each value matches. In this example, the value 4 matches Case 4, which is the number of days in a week.

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To solve this problem, we use synthetic division.

8x^4 + 6x^2 - 7 | 2x^2

-8x^4 4x^2 + 3

0 6x^2 - 7

-6x^2

0 -7

Now, we use the division algorithm to find the equivalence.

Therefore, the division is equal to

Where 4x^2 + 3 is the quotient, -7 is the remaining part and 2x^2 is the divisor.

Answer:

a

Step-by-step explanation:

The number of 100 dollar bills in one billion dollars  is 10 million hundreds or 70,900 hundred dollar bills.

To find the number of 100 dollar bills in one billion dollars, we can use the following steps:

First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,

we can divide one billion by 100 to get the number of hundreds

\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)

So one billion dollars is equal to 10 million hundreds.

Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)

The volume of one hundred dollar bill is approximately 0.00709 cubic inches.

Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)

Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.

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Step-by-step explanation:

the sum of an infinite geriatric series with |r| < 1 is

s = a1/ (1 - r)

in our case we have

a1 = 8

12 = 8/(1 - r)

12(1 - r) = 8

1 - r = 8/12 = 2/3

-r = -1/3

r = 1/3

so, the first 4 terms (I added a5 too, just in case your teacher meant the NEXT 4 terms) are

a1 = 8

a2 = a1 × 1/3 = 8/3

a3 = a2 × 1/3 = 8/9

a4 = a3 × 1/3 = 8/27

a5 = a4 × 1/3 = 8/81

...

Answer:

\(8,\quad \dfrac{8}{3},\quad \dfrac{8}{9},\quad\dfrac{8}{27}\)

Step-by-step explanation:

Sum to infinity of a geometric series:

\(S_\infty=\dfrac{a}{1-r} \quad \textsf{for }|r| < 1\)

Given:

Substitute given values into the formula and solve for \(r\):

\(\implies 12=\dfrac{8}{1-r}\)

\(\implies 1-r=\dfrac{8}{12}\)

\(\implies r=1-\dfrac{8}{12}\)

\(\implies r=\dfrac{1}{3}\)

General form of a geometric sequence: \(a_n=ar^{n-1}\)

(where a is the first term and r is the common ratio)

Substitute the found values of \(a\) and \(r\):

\(\implies a_n=8\left(\dfrac{1}{3}\right)r^{n-1}\)

The first 4 terms:

\(\implies a_1=8\left(\dfrac{1}{3}\right)r^0=8\)

\(\implies a_2=8\left(\dfrac{1}{3}\right)r^1=\dfrac{8}{3}\)

\(\implies a_3=8\left(\dfrac{1}{3}\right)r^2=\dfrac{8}{9}\)

\(\implies a_4=8\left(\dfrac{1}{3}\right)r^3=\dfrac{8}{27}\)

Answer:

8x+9x+(180-5x) = 360

17x+180-5x = 360

12x+180 = 360

12x = 360-180

12x = 180

x = 15

Answer: yuh, c4u531mw1t2t2364n61mw1t2t23m4rw24tw4570ut21nk1n6r3m3mb3rt23md475w23nt237n9t5w4560n3w24tw45709t21nk1n6792792

Step-by-step explanation:

Answer:

given;

f(x) = 5x+3

g(x) = x²-3.

Step-by-step explanation:

a f(4)=5×4+3=23

b) f(g(x))=f(x²-3)=5{x²-3)+3=5x²-15+3=5x²-12

C). g( f (2))=g(5×2+3)=13²-3=166

Answer:

4.4

Step-by-step explanation:

40 x 0.45 = 18

40 x 0.56 = 22.4

22.4 - 18 = 4.4

Answer:

25.13

Step-by-step explanation:

2 π r

2 x π x 4 =25.13

Answer:8,5 recirpoal is 5,8

Step-by-step explanation:

The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.

The volume of a solid is the three dimensional space the solid occupies.

The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;

Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³

Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³

70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³

The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0

The number of times Johnny needs to use the wheelbarrow is about 41 times

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Answer:

y = 1/2x + 2.5

Step-by-step explanation:

First we want to plug it into the \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). This gets us 6-2/7-(-1) which solves to 4/8 which simplifies to 1/2. This gives us the slope. Now, when using slope intercept form y = mx + b, we can plug our newly found slope in for m and get y = 1/2x + b. To find b plug in any point on the line into the equation, I chose (7,6) because we are given that, and both numbers are positive. Now plug those in for x and y. 6 = 1/2(7). Solve, and get 2.5. are final equation is

y = 1/2x + 2.5

Answer:

\((\sqrt[3]{7} )^4\)

Step-by-step explanation:

here's a tip!

to remember which part of the fractional exponent goes on the radical or which one is the exponent think of the simple \(\sqrt{x}\) which equals \(x^1/2\)

this way you can remember that which ever number is in the denominator of the fractional exponent goes onto the radical.

A Budget is best defined as a financial plan that estimates how much money you will need to spend to cover your expenses. That is option D.

Budget can be defined as the financial document that is used to show the estimation of intending expenses, and how much would be required to meet such expenditures.

The importance of budget include the following:

Therefore budget is used by companies and business organizations to estimate how much money they will need to spend to cover their expenses.

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Answer:

to the nearest tenth: 5.4

to the nearest hundredth: 5.43

Step-by-step explanation:

Keep the whole number 5 by itself

divide 3 by 7 and add that as the decimal with 5

Answer:

5.4285714286

Step-by-step explanation:

Calculation:

5+3/7

= 5.4285714286

= 542.85714286%

Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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