Which formulas can be used to find the surface area of a right prism where p is the perimeter of the base, h is the height of the prism, BA is the area of bases, and LA is the lateral area? Check all that apply.
A. SA = BA - LA
B. SA = p + LA
C. SA = BA + LA
D. SA = BA + ph
E. SA = 1 / BA + LA​

The function F(x) would be F(x) = 0.2x² - 3.

A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).

We are given a graph of the function G(x) as:

G(x) = x²

We are required to determine a potential representation of the function F (x).

We are aware that the function F(x) graph is a horizontal extension of the function G(x).

This indicates that "k" is the factor that is multiplied by G(x).

where 0< k <1.

The graph is also 3 units vertically down, which causes the graph.

So, the graph is shifted 3 units vertically down hence the graph of the resulting function F(x) is:

F(x) = 0.2x² - 3

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Answer:

12m

Step-by-step explanation:

Given that the area of the square  DVD case is 144 square cm

Since Area = L²

144 =L²

L = √144

L = 12m

Since the width of the DVD and its case are the same, hence the with of the DVD is also 12m

Answer:

The first one is X=4

the second one is 5n - 300= 1,500

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Have a phd in mathematics! Congrats on your first question!!!! Send me a brainlist :)

Answer:

The last answer choice, or [-15 14  4a]

                                             [-4 5b -23]

                                             [  ?   ?   ?  ]

Step-by-step explanation:

In order to subtract matrices, they have to have the same dimensions, which this problem provides(both 3x3) Then, just subtract the numbers on the right from the corresponding numbers on the left. Example: -3-12=-15, which is the top left answer. Repeat with all positions.

Answer:

120 * 0.90 = 108 km

Step-by-step explanation:

Answer:

108km

Step-by-step explanation:

Answer:

The variable is y since it is a letter and is meant to hold value

The coefficient is 4 since in this equation 4 is multiplied by y

The exponent is 3 since it is after the variable

Hope This Helps!!!

Answer:

The coefficient is 4

The base and variable is y

The exponent is 3

Step-by-step explanation:

4y^3

The coefficient is 4

The base and variable is y

The exponent is 3

Answer: 13%

Step-by-step explanation:

Answer:

were is the problem

Step-by-step explanation:

Answer:

$ 2,600

Step-by-step explanation:

It's given that 260 People donated $10 is to an organisation . We need to find the total money received by the organisation .

Here we just need to the number of people with the amount each person gave , that is ;

[tex]\implies \rm Total \ amount = \$ 10 \times 260 \\\\\rm\implies Total \ amount = \$ 2,600 [/tex]

Hence the total money received by the organisation is $ 2600 .

Answer:

the side XY

Step-by-step explanation:

we know 2 angles in a triangle. but are 45 degrees.

that means the third angle Z is 180-45-45 = 90 degrees.

the side opposite of the largest angle is the longest side.

opposite of Z is the side XY.

Answer:

4.583 meters

Step-by-step explanation:

Divide 66 by pi

=21.01910828

I rounded to 21

Find the square root of 21

4.58257569...

I rounded again, to 3 decimal places

4.583

Hope it helps!

Answer:

√21  aka square root of 21

Step-by-step explanation:

The person above pretty much explained it lol

2^4×3^2 = 144

___________

Answer:

144 would be the answer.

Step-by-step explanation:

Question:- [tex]2^{4}[/tex] · [tex]3^{2}[/tex]

[tex]2^{4}[/tex] = 2 x 2 x 2 x 2

   = 4 x 2 x 2

   = 8 x 2

   = 16

[tex]3^{2}[/tex] = 3 x 3

   = 9

So, [tex]2^{4}[/tex] · [tex]3^{2}[/tex] = 16 x 19

              = 144

Answer:

ewan ask mo kay ma'am para alam mo po

Answer:

Equivalent expressions are expressions that are the same, even though they may look a little different. If you plug in the same variable value into equivalent expressions, they will each give you the same value when you simplify.

Step-by-step explanation:

Answer:

29.8

Step-by-step explanation:

a^2+b^2=c^2

a^2+7^2=11^2

a = h = 8.5

A= 1/2*b*h

A= 1/2*8.5*7

A=29.8

Given :-

To Find :-

Solution :-

Taking the given equation ,

=> 7x -3 = 5x + 9

=> 7x - 5x = 9 + 3

=> 2x = 12

=> x = 12 ÷ 2

=> x = 6

Hence the required answer is 2 .

10a+46-(3a+2b)

= 10a + 46 - 3a - 2b

= 7a - 2b + 46

Answer:

B. - 2a + 18

Step-by-step explanation:

- 4a + 2( a + 9 )

= - 4a + 2a + 18

= - 2a + 18

Answer:

B

Step-by-step explanation:

got it right on edge :))

Answer:

Step-by-step explanation:

Cost per unit of gas = 4.2 pence

Average units of gas used per week = 50.1 units

Total cost of gas per week = Cost per unit of gas × Average units of gas used per week

= 4.2 pence × 50.1

= 210.42 pence

= £ 2.1042

Amount ria pays for gas for 13 weeks = cost of gas per week × number of weeks

= 210.42 pence × 13

= 2,735.46 pence

2,735.46 pence = £ 27.3546

Answer:

[tex]\boxed {\boxed {\sf D. \ 16}}[/tex]

Step-by-step explanation:

We are given the following equation and asked to solve for 2x+1.

[tex]\sqrt {2x+1}=4[/tex]

We want to isolate the entire expression of 2x+1. Notice that it is under the square root. If we want to isolate it, we have to perform the inverse operation. The inverse of a square root is a square, so we square both sides of the equation.

[tex](\sqrt{2x+1} )^2= (4)^2[/tex]

[tex]2x+1=(4)^2[/tex]

[tex]2x+1=16[/tex]

We could continue solving for x, then plug the answer back into the expression 2x+1. However, hopefully you notice that we already found the answer!

We only had to do one step to find the answer, but you could complete many other steps to get the same answer:

[tex]2x+1-1=16-1\\2x=15\\2x/2=15/2\\x= 7.5[/tex]      (Solve for x)

[tex]2x+1\\2(7.5)+1\\15+1\\16[/tex]                   (Plug the answer in for x)

The value of 2x+1 is 16 and the correct answer is 16.

Step-by-step explanation:

16 arrangement can be done

The 24 arrangements could be made if the position of the last boy remains unchanged.

Arrangement is a plans or preparations for a future event.

The steps are as follow:

x! , where,! is factorial

x! is equal to x*(x-1)*(x-2)*(x-3)*…(x-(x-1))

∴ 4*3*2*1 = 24 arrangments

Therefore total 24 arrangements could be made if the position of the last boy remains unchanged.

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Answer:

The angle measures 25°; the complement measures 65°; the supplement measures 155°.

Step-by-step explanation:

The sum of the measures of two complementary angles is 90.

If the angles measure x and y, then x + y = 90.

Given angle x, then y = 90 - x.

The sum of the measures of two supplementary angles is 180.

If the angles measure x and y, then x + y = 180.

Given angle x, then y = 180 - x.

Let the angle be x.

Its complement is 90 - x.

Its supplement is 180 - x.

5(90 - x) = 2(180 - x) + 15

450 - 5x = 360 - 2x + 15

-3x = -75

Angle: x = 25

Complement: 90 - x = 90 - 25 = 65

Supplement: 180 - x = 180 - 25 = 155

Answer: The angle measures 25°.;, the complement measures 65°; the supplement measures 155°.

Answer:

270 & 30

Step-by-step explanation:

let the number is n,

the equation :

n× 1/9 n= 27(n +1/9 n)

1/9 n² = 27n + 3n

1/9 n² = 30n

1/9n²- 30n = 0

n(1/9n -30)= 0

n = 0 or

1/9n = 30 => n = 30×9 = 270

270 is a number,

the other : 270/9 = 30

Answer:

The surface area is 116.

Step-by-step explanation:

Full question attached

Answer:

1. Subjects were not aware of the purpose of the experiment.

2. Subjects were not aware of all potential risks.

Subjects were not aware of the purpose of the experiment.

3. Subjects were coerced into participating

Explanation:

Ethics are the moral principles and codes that guide our daily decisions and actions. Ethical issues in conducting experiments or research aim at protecting the dignity of subjects or participants in the research. Major ethical issues in conducting research include: Respect for anonymity and confidentiality, beneficence(should not harm participants), and informed consent(independently volunteers after clear comprehensive information on research).

1. Experiment violates informed consent as participants were not aware of the purpose of research.

2. Experiment violates informed consent and beneficence as participants weren't fully informed and faced the risk of being harmed.

3. Experiment violates beneficence and informed consent as participants faced the risk of being harmed and did not independently volunteer for the research.

Step-by-step explanation:

— If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) ... the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A .

Given:

A line passes through the points (-1, -1) and (5,8).

To find:

Which points lie on the same line?

Solution:

If a line passes through two points, then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:

[tex]y-(-1)=\dfrac{8-(-1)}{5-(-1)}(x-(-1))[/tex]

[tex]y+1=\dfrac{8+1}{5+1}(x+1)[/tex]

[tex]y+1=\dfrac{9}{6}(x+1)[/tex]

[tex]y+1=\dfrac{3}{2}(x+1)[/tex]

Multiply both sides by 2.

[tex]2(y+1)=3(x+1)[/tex]

[tex]2y+2=3x+3[/tex]

[tex]2y=3x+3-2[/tex]

[tex]y=\dfrac{3}{2}x+\dfrac{1}{2}[/tex]

So, the equation of the line is [tex]y=\dfrac{3}{2}x+\dfrac{1}{2}[/tex].

Now, check each point for this equation.

Putting [tex]x=-3[/tex], we get

[tex]y=\dfrac{3}{2}(-3)+\dfrac{1}{2}[/tex]

[tex]y=\dfrac{-9+1}{2}[/tex]

[tex]y=\dfrac{-8}{2}[/tex]

[tex]y=-4[/tex]

Similarly,

For [tex]x=9,y=15[/tex].

For [tex]x=1,y=2[/tex].

For [tex]x=4,y=6.5[/tex].

For [tex]x=3,y=5[/tex].

For [tex]x=-2,y=-2.5[/tex].

Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.

Answer: [tex]y=\sqrt{x+12}[/tex]

Step-by-step explanation:

I hope you mean y = x² - 12 and not y = 2x - 12.

You switch the y and x variables:

x = y² - 12

And solve for y:

x + 12 = y²

[tex]y=\sqrt{x+12}[/tex]

Answer:

Given

Given

Transitive

Substitution

Subtraction

Addition

Substitution

Multiplication

Hard to see list of options. But this should help.

Given

Given

Transitive

substitution property of equality

Subtraction property of equality

Addition property of equality

multiplication property of equality

Simplify

simplify

Substitution means putting numbers in place of letters to calculate the value of an expression.

The transitive property states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”

The addition and subtraction property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.

According to the given question.

AB = BC and BC = CD              ( Given)

AB = 3x - 1 and CD = 2x + 3      ( Given)

Since,

AB = BC and BC = CD

⇒ AB = CD  (transitive)

Substitute the value of AB and CD in AB = CD

⇒  [tex]3x - 1 = 2x + 3[/tex]  (substitution property of equality)

⇒  [tex]x -1= 3[/tex]               (subtraction property of equality)

⇒   [tex]x = 4[/tex]                     (Addition property of equality)

Since,

AB = BC

⇒ AB= 3x -1        

⇒ [tex]AB = 3(4) - 1[/tex]                   ( multiplication property of equality)

⇒ [tex]AB = 11[/tex]                          (simplify)                                  

Therefore,

BC = 11                               (simplify)

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