Question: 10) The table below displays the gender and favorite sport of a class of students. A student is selected at random. Male Female Total Basketball ...

The total area she will have to cover with the finish is 265 m². Option C

The formula for calculating the total surface area of a triangular prism is;

A = bh + ( b₁ + b₂ + b₃ )l

Such that the parameters are;

Substitute the values, we have;

Area = 12(8) + (10 + 10 + 12)5

Multiply the values, we have;

Area = 96 + 32(5)

Area = 96 + 160

add the values

Area = 265 m²

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To convert millicoulomb (mC) to coulomb (C) divide C by 1000.

What is electric charge?

Subatomic particles have a characteristic known as "electric charge" that makes them experience force while in an electric and magnetic field.

Protons and electrons are the most prevalent charge carriers for the positive and negative forms of electric charges, respectively.

The coulomb is used to measure electric charge.

"The amount of charge transported in one coulomb in one second."

The definition of a coulomb is expressed mathematically as -

Q = I · t

In the equation, Q is the electric charge, I is the electric current and t is the time.

1 coulomb of charge consists of 1000 millicoulomb charge.

To convert millicoulomb to coulomb use the formula -

mC = C/1000

So, 1 Millicoulomb [mC] = 0.001 Coulomb [C].

Therefore the value of 1 mC is 0.001 C.

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An experiment usually has three kinds of variables: independent, dependent, and controlled. The independent variable is the one that is changed by the scientist.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.

The variable you alter, regulate, or change in an experimental study to examine its effects is known as an independent variable. It is named "independent" because it is unaffected by any other study variables.

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Answer:

89 degrees

Step-by-step explanation:

6 pi 10m divided by 35. The rombos formla.

Answer:

choice 2

Step-by-step explanation:

the best choice for the baby pool is choice 2 because they need a pool that hold less than 15 cubic feet water and choice 2 when i calculate the volume of the given number : 4ft*3ft*1=12 cubic feet which is less than 15 cubic feet.

the other choices show that the volume  of choice 1 : 5ft*5ft*1=25 cubic feet which is greater than what they ask for.

choice 3 : 4ft*4ft*2ft=16 cubic feet greater than 15 cubic feet

The amount of interest charged at the end of the term is approximately $644.75.

To calculate the amount of interest charged at the end of the term, we can use the simple interest formula:

Interest = Principal * Rate * Time

Principal = $6,250

Rate = 4.12% = 0.0412 (decimal form)

Time = 2 years + 6 months = 2.5 years

Plugging in these values into the formula, we have:

Interest = $6,250 * 0.0412 * 2.5

Calculating this expression:

Interest = $6,250 * 0.0412 * 2.5 = $644.75

Therefore, the amount of interest charged at the end of the term is $644.75 (rounded to the nearest cent).

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The cost of 1 kg of bananas solved using matrices is $38.5.

Given,

Claire and Dale shopped at the same store.

Claire bought 5 kg of apples and 2 kg of bananas and paid altogether $22.

Dale bought 4 kg of apples and 6 kg of bananas and paid altogether $33.

We need to find the cost of 1 kg of bananas using matrices.

Let x be the cost of 1 kg of apples and y be the cost of 1 kg of bananas.

According to the question, we can form the following matrix equation:

⇒ \([5 2][x y] = 22[4 6][x y] = 33\)

Using matrix multiplication, we get:

⇒ \(5x + 2y = 22\)

(i) ⇒ \(4x + 6y = 33\)  

(ii)Multiplying equation (i) by 3, we get:

⇒ \(15x + 6y = 66\)

(iii)Multiplying equation (ii) by -5, we get:

⇒ \(-20x - 30y = -165\)

(iv)Now, adding equations (iii) and (iv), we get:

⇒ \(-5x = -99\)

⇒\(x = 19.8\)

Substituting the value of x in equation (i), we get:

⇒ \(5(19.8) + 2y = 22\)

⇒ \(99 + 2y = 22\)

⇒ \(2y = 22 - 99\)

⇒ \(2y = -77\)

⇒ \(y = -38.5\)

Therefore, the cost of 1 kg of bananas is $38.5.

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Answer:  first problem 3rd choice  The graph shifts vertically up 5 units

11.) the y intercept is  -5

19.)  f(-8) = -18

last item  third choice  All real numbers such that  are ≥ 0 and ≤ 40

Step-by-step explanation:

19.)  f(x)=2(-8 -3) + 4

              2 (-11)  + 4

                -22 + 4

        f(-8) = -18

Answer:

B. 970,000

Step-by-step explanation:

Move the decimal 5 places to the right, since the exponent is a positive 5.

9.7 x 10⁵ = 970,000.

If it is a negative exponent, you would have to move the decimal to the left.

Answer:

price of an adult ticket = a = $7

price of a student ticket = s = $6

Step-by-step explanation:

price of an adult ticket = a

price of a student ticket = s

7a + 7s = 91 (1)

14a + 12s = 170 (2)

Multiply (1) by 2

7a + 7s = 91 (1) × 2

14a + 14s = 182 (3)

14a + 12s = 170 (2)

Subtract (2) from (3) to eliminate x

14s - 12s = 182 - 170

2s = 12

s = 12/2

s = 6

Substitute s = 6 into (1)

7a + 7s = 91 (1)

7a + 7(6) = 91

7a + 42 = 91

7a = 91 - 42

7a = 49

a = 49/7

a = 7

price of an adult ticket = a = $7

price of a student ticket = s = $6

Answer:

Width = 10

Step-by-step explanation:

let length = X

width = 3X - 2

Area = length x width

40 = X x (3X - 2)

40 = 3X^2 - 2X

therefore 3X^2 - 2x - 40 = 0

3x^2 + 10x - 12x - 40 = 0

x(3x + 10) - 4(3x + 10) = 0

(x - 4) (3x + 10) = 0

(x - 4) = 0

x = 4

(3x + 10) = 0

3x = - 10

x = -10/3

Since the lenght can't be negative, we'll work with x = 4

Therefore the width = 3x - 2

Width = 3(4) -2

Width = 12 - 2

Width = 10

Answer:

top one =75

bottom one=65

Step-by-step explanation:

all angles should equal to 180

so 180-40=140

the sum of th eother two angles will be 140

so 4x-5+3x+5=140

now solve for x

x=20

subsitute for x

4(20)-5=75

3(20)+5=65

please mark brainliest if correct

You can use the Pythagoras theorem for this since a right triangle is formed.

\(c^2 = a^2 + b^2\)

C = 12

A = 4

B = x

Input values:

\(12^2 = 4^2 + x^2\)

\(144 = 16 + x^2\)

\(128 = x^2\)

\(x = \sqrt{128}\)

\(x = 11.3137...\)

So, about 11ft.

Answer:

d = 12.21

Step-by-step explanation:

1) Subtract 4 from both sides.

d = 16.21 - 4

2) Simplify 16.21 - 4 to 12.21.

d = 12.21

Check the answer!

⇒ d + 4 = 16.21

1. Let d = 12.21.

⇒ 12.21 + 4 = 16.21

2. Simplify 12.21 + 4 to 16.21

16.21 = 16.21

Done!

Thanks,

Eddie

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

Using it's concept, the approximate perimeter of pentagon ABCDE is given as follows:

34.4 units.

The perimeter of a figure is given by the sum of the lengths of it's outside dimensions.

In this problem, the vertices are in a coordinate-plane, hence the distances are found using the formula for the distance between two points.

Suppose that we have two points, \((x_1,y_1)\) and \((x_2,y_2)\). The distance between them is given by:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The length of segment AB is:

\(AB = \sqrt{(6 - 0)^2+(0 - 7)^2} = 9.2\)

The length of segment BC is:

\(BC = \sqrt{(6 - 3)^2+(0 + 4)^2} = 5\)

The length of segment CD is:

\(CD = \sqrt{(-3 -3)^2+(-4 + 4)^2} = 6\)

The length of segment DE is:

\(DE = \sqrt{(-6 + 3)^2+(0 + 4)^2} = 5\)

The length of segment EA is:

\(EA = \sqrt{(-6 +0)^2+(0 - 7)^2} = 9.2\)

Hence the perimeter is:

P = AB + BC + CD + DE + EA = 9.2 + 5 + 6 + 5 + 9.2 = 34.4 units.

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Answer:

12%

Step-by-step explanation:

So 5.5 to 5.62 is .12

Then calculate the difference of 5.5 *.12=0.66

Then do “0.66 is what percent of 5.5?”

The answer is 12%

Thank you for reading, and mark this brainliest

The sum, A+B+C+D is 0.00.

The equation is:

\(x^4\) - \(x^3\) - 2\(x^2\) - x + 1 = 0

We can factor the equation as follows:

(x - 1)(\(x^3\) + \(x^2\) + x - 1) = 0

The first factor gives us the solution x = 1. The second factor gives us the solutions x = -1, x = -1/2, and x = 1/2.

Therefore, the four solutions are A = 1, B = -1, C = -1/2, and D = 1/2. Their sum is:

A + B + C + D = 1 + (-1) + (-1/2) + (1/2) = 0

Rounded to two decimal places, the sum is 0.00.

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Answer

See in pic

Step-by-step explanation:

Answer:

1) 0.3

2) 12

3a) 5/6

3b) 4/5

Step-by-step explanation:

1) There are;

12 white balls, 6 green balls and 2 red balls.

Total number of balls = 12 + 6 + 2 = 20

Probability of selecting a green ball at random = 6/20 = 3/10 = 0.3

2) we are told that number of marbles is 28 marbles.

Now, theoretical probability of drawing a blue marble = 3/7

This fraction is; number of favorable outcomes/number of possible outcomes.

Thus;

Number of blue marbles = 3/7 × 28 = 12 blue marbles

3a) theoretical probability is what we expect to happen.

There are 5 numbers less than 6 in the table.

Thus;

Theoretical probability of getting a number less than 6 in the next throw = 5/6

3b) Experimental probability is what actually happens.

Number of times a number less than 6 appears = 6 + 4 + 7 + 11 + 12 = 40 times

There was a total of 50 trials. Thus;

Experimental probability of getting a number less than 6 in the next throw = 40/50 = 4/5

Check the picture below.

\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)

1. The height of the cone is equal to

2. You can solve for the slant height, s by applying Pythagorean's theorem.

3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.

In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:

Volume of cone, V = 1/3 × πr²h

Where:

By substituting the given parameters into the formula for the volume of a cone, we have the following;

8792 =  1/3 × 3.14 × 20² × h

26,376 =  3.14 × 400 × h

Height, h = 26,376/1,256

Height, h = 21 mm.

Question 2.

In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.

Question 3.

By applying Pythagorean's theorem, we have the following:

r² + h² = s²

20² + 21² = s²

400 + 441 = s²

s² = 841

Slant height, s = √841

Slant height, s = 29 mm.

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Total distance traveled during these 6 seconds = 80 feets

Given the data in the question-

Time (sec)        Velocity (ft/sec)

0                       13

1                        23

3                       24

4                       15  

5                        4

6                       10                          

Since the distance traveled is shown by.

Distance = Velocity x Time

And since the time interval in the question is given = 1 sec between any two breaks,

By the principle of left-end approximation -

According to the left-end approximation, the velocity given at each equal interval is determined by the function value at the left of each subinterval.

(0,1) ---------------- f (0) = 13

(1,2) ---------------- f (1) = 23

(2,3) --------------- f (2) = 24

(3,4) --------------- f (3) = 15

(4,5) --------------- f (4) = 4

(5,6) --------------- f (5) = 1

Now if we observe the time break between two-time intervals = 1 sec

The expression will be derived as -

= (13 x 1) + (23 x 1) + (24 x 1) + (15 x 1) + (4 x 1) + (1 x 1)

= 13 + 23 + 24 + 15 + 4 + 1

= 80 feets

Therefore, the total distance traveled during these 6 seconds = 80 feets

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Answer: 1 is 77 3 is 231 5 is 308 and 7 is 385

Step-by-step explanation:

Numbers of ways to distribute 10 identical cards into 3 boxes is 36

Combination is is a way of selecting items from a collection where the order of selection does not matter.

Formula of combination:

Let a x-combination of a set is a subset of x distinct elements of S. If the set has n elements, the number of x-combinations is equal to the binomial coefficient.

ⁿCₓ = n(n-1)(n-2)(n-3). . . (n-x+1) / (x-1)(x-2)(x-3) . . . .(1)

which can be written as ⁿCₓ = n! / (n-x)! x!   , when n > x

ⁿCₓ = 0 , when n < x

Where n = distinct object to choose from

C = Combination

x = spaces to fill

According to the question,

Number of identical cards : n =10

Number of box cards are being distributed : x = 3

Number of ways to distribute when no condition is given : ⁿ⁺ˣ⁻¹Cₓ₋₁

If we place one one card in each box then

Number of cards left with us = 10 - 3

= 7

Now, condition of at least one cards in each box is satisfied ,

Then total number of ways to distribute 7 cards into 3 =  ⁷⁺³⁻¹C₃₋₁

=> ⁹C₂ = 9! / (9 - 2)! 2!

=>  9×8×7! / 7!2!

=> 9×8/2

=> 9×4

=>36 ways

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Answer:

\(\frac{\frac{1}{4}}{1}=\frac{\frac{5}{6}}{x}\)

Step-by-step explanation:

Per = 1

\(\frac{1}{4}\)

So, if we were to solve:

\(\frac{1}{4}=\frac{5}{6x}\)

\(\frac{1}{4}\cdot \:6x=1\cdot \:5\)

\(\frac{3}{2}x=5\)

\(\frac{3}{2}x\cdot \:2=5\cdot \:2\)

\(3x=10\)

\(\frac{3x}{3}=\frac{10}{3}\)

\(x=\frac{10}{3}\)

Troy can make \(\frac{10}{3}\) dozen of cupcakes.

Answer:

y=4

Step-by-step explanation:

8y+1=6y+9

8y-6y=9-1

2y=8

y=4

The answer is a discount price: RS.300

                           Selling price: RS 1700

                           Cost price: RS 1500

The marked price is 2000

by applying the known mathematics

discount amount: 100 × (Original price - Discounted price) / Original price

                              =2000 × 15%

                              =300

 selling price: Cost Price + Profit Margin.

                        =2000-300

                        =1700

  cost price :  {100/(100 + Profit%)} × SP.

                     =2000-2000×25%

                    = 1500

by these calculations, we can achieve our answers

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11. ∠7≅∠3 is true because alternate interior angles of two parallel lines cut by a transversal line are congruent.

12.∠7≅∠6 is not true because these two angles are supplementary to each other which means ∠7 + ∠6 = 180 degrees.

13. ∠3 and ∠1 are corresponding angles and corresponding angles are congruent.

m∠3 = m∠1

15x + 22 = 19x - 10

15(8) + 22 = 19(8) - 10

120 + 22 = 152 - 10

142 = 142

Since both m∠3 and m∠1 gave us the same measure of the angle which is 142 degrees, this proves that corresponding angles in this figure are congruent. Therefore, #13 is true.

Since ∠7≅∠3 and m∠3 = m∠1, lines m and n are parallel.