Instructions.find the volume and surface area of the rectangular prisms

Answers

Answer 1

V = L · W · H

SA = 2L + 2W + 2H

Related Questions

Suppose there is exactly one index k such that a[k] = x. what is the expected number of indices into a that we must pick before we find x and random-search terminates?

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Suppose there is only one index k such that a [k] = x. What is the expected index number of indexes that must be selected before x and random search?

hey can you please help me posted picture of question

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If you observe the graphs, you can see that the graph of G(x) is obtained by moving F(x) 1 unit to left.

Moving one unit to left is equivalent to adding 1 to x in the base of the expression in given case.

So,

G(x) = F(x+1)

G(x) = (x+1)²

Thus the correct answer is option D

#3 Q. the diagrams solve please

Answers

Its the first one, 22.5. This is because... if you multiply 5 and 4, you would get 20, the area of the square. You then have to multiply 1 and 5 to get 5 and divide it by 2 to get the area of the triangle which would be 2.5, then add 2.5 to 20 and get 22.5.
Hope this helps :)

Answer:
area = 22.5 ft²

Explanation:
The total area can be calculated by summing the areas of the rectangle and the triangle.

1- getting the area of the rectangle:
area of square = length * width
In the given, we have:
length = 4 ft
width = 5 ft
Therefore:
area of rectangle = 4 * 5 = 20 ft²

2- getting the area of the triangle:
area of triangle = 0.5 * base * height
In the given, we have:
base = 5 ft
height = 1 ft
Therefore:
area of triangle = 0.5 * 5 * 1 = 2.5 ft²

3- getting the total area:
Total area = area of rectangle + area of triangle
Total area = 20 + 2.5 = 22.5 ft²

Hope this helps :)

Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.

Answers

sqrt(7^2 + (23/2)^2) = 13.5 (1 d.p.)

Morgan uses 1/4 of her supply of raisins to make trail mix and 3/8 of her supply of raisins to make cookies. If Morgan uses 5 pounds of raisins, how many pounds of raisins are in her supply?

Answers

There are 8 pounds of raisins in Morgan's supply.

Let us say there are 'a' pounds of raisins in her supply.

What is a fraction?

Fraction is a manner to represent part of a whole.

Raisins used to make trail mix = 1/4 of a = 1/4 a

Raisins used to make cookies = 3/8 of a = 3/8 a

It is given that:

Morgan uses 5 pounds of raisins,

[tex]\frac{1}{4} a+\frac{3}{8} a=5[/tex]

[tex]\frac{5}{8} a = 5\\\\a=8[/tex]

Therefore, there are 8 pounds of raisins in Morgan's supply.

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Morgan's total supply of raisins is 8 pounds.

Let's denote the total supply of raisins by R. According to the problem, Morgan uses 1/4 of her supply to make trail mix and 3/8 of her supply to make cookies. Together, this amounts to a total of five pounds of raisins used.

We set up the equation to represent the total amount of raisins used:

1/4 R + 3/8 R = 5

We need to find a common denominator to combine the fractions. Here, the common denominator is 8:

(2/8) R + (3/8) R = 5

Combining the fractions gives:

(5/8) R = 5

To isolate R, we multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:

R = 5 * 8/5

When we simplify, we get:

R = 8

So, Morgan's total supply of raisins is 8 pounds.

beth wants to buy shelves to hold 38 boxes of photos there is a shelf that will hold 8 boxes of photos beth calculates that 38/8=4 r6 how many shelves will beth need to hold all 38 photo boxes

Answers

Given that Beth wants a shelf that will hold 38 photos and there is a shelf that holds 8 photos. Then the number of shelves that hold 8 photos that Beth will purchase will be :
38/8
=4.75
~5 shelves
thus the answer is 5 shelves

In Youngtown the population reach 4420 people in 1993 in 1998 there were 5600 residents what was toe population in the year 2000

Answers

So, let's find the rates:
5 years = 1180 people
5n = 1180
n = 236
236*2 = 472
5600 + 472 = 6072
6072 people

paula earned a 56% on her test. If she got 14 problems correct. how many did she get incorrect

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21 problems total taken so 7 were correct

Find the lowest common multiple of 28 and 210

Answers

Answer:

420

Step-by-step explanation:

210 = 14×15

28 = 14×2

The LCM wil be the product of unique factors;

... LCM = 14×15×2 = 420

expand in logarithmic expression

Answers

[tex]\ln \left( \sqrt{r^{8}s^{6}} \right)=\ln \left( \left( r^{8}s^{6} \right)^{\frac{1}{2}} \right)\\ =\dfrac{1}{2}\ln \left( r^{8}s^{6} \right)=\dfrac{1}{2}(8\ln(r)+6\ln(s))\\ =4\ln(r)+3\ln(s)[/tex]

What is the value of q when the solution contains 2.50×x10−3 m mg2+ and 2.00×10−3m co32−?

Answers

The correct answer is: Q = [tex]5.0 * 10^{-6}[/tex]

Explanation:

The chemical equation is:
[tex]MgCO_3 \to Mg^{2+} + CO_3^{2-}[/tex]

The value of Q can be obtained as follows:

Q = [[tex]Mg^{2+}[/tex]][[tex]CO_3^{2-}[/tex]]
Q = [2.50×x10^−3][2.00×10^−3]
Q = [tex]5.0 * 10^{-6}[/tex]

A group of students recycled 7 2/3 pounds of glass and 9 3/4 pounds of paper. How many pounds of glass and paper did the students recycle alltogether?

Answers

well, is namely just their sum, let's firstly convert the mixed fractions to "improper" and then add them,

[tex]\bf \stackrel{mixed}{7\frac{2}{3}}\implies \cfrac{7\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{23}{3}} \\\\\\ \stackrel{mixed}{9\frac{3}{4}}\implies \cfrac{9\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{39}{4}}\\\\ -------------------------------\\\\ \cfrac{23}{3}+\cfrac{39}{4}\qquad \stackrel{LCD~of~12}{\implies }\qquad \cfrac{4(23)+3(39)}{12}\implies \cfrac{92+117}{12} \\\\\\ \cfrac{209}{12}\implies 17\frac{5}{12}[/tex]

The students recycle 17 5/12 pounds of glass and paper all together.

What is a fraction?

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Pounds of glass recycled = 7 2/3

⇒ Pounds of glass recycled = 23/3

Pounds of paper recycled = 9 3/4

⇒ Pounds of paper recycled = 39/4

Thus, total pounds of glass and paper recycled = Pounds of glass recycled + Pounds of paper recycled

⇒ total pounds of glass and paper recycled = 23/3 + 39/4

⇒ total pounds of glass and paper recycled = 209/12

⇒ total pounds of glass and paper recycled = 17 5/12 pounds

Thus, the students recycle 17 5/12 pounds of glass and paper all together.

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if the customer's order came to $6.22 and he gave you $20.25 what is his change

Answers

He'll get $14.03 because 20.25 is what he gave but it only came up to 6.22 so 20.25-6.22=14.03

$14.03, just subtract $6.22 from the $20.25

who do you write a function

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You can determine what variable your function depends upon. In the example of y = 2x + 6, the function changes as the value of x changes, so the function is dependent upon x. The left side of your function is the name of your function followed by the dependent variable in parentheses, f(x) for the example.

please help asap. this circle is centered at the origin and the length of its radius is 8. what is the circles equation

Answers

d. x^2 + y^2 = 64
D is 're correct answer

Answer: [tex]x^2 + y^2 = 64[/tex]

Step-by-step explanation:

Since, the equation of a circle that having the center (h,k) and radius r is,

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Here the circle is centered at the origin,

That is, h = 0 , k = 0

Also, the radius of the circle is 8,

That is, r = 8 unit,

Thus, the equation of the given circle,

[tex](x-0)^2 + (y-0)^2 = 8^2[/tex]

[tex]x^2 + y^2 = 64[/tex]

The following figures were entered on a checking-account record. Add or subtract them to keep the running total correct. Balance forward $643.72 Check #5734 to Lupe's Market, for food, for $68.29 $ Deposit of $341.80, a paycheck $ Check #5735 to Broadmoor Community Center in the amount of $34.18 $ Check #5736 to Bill Baughman, for plumbing services, for $60.00 $

Answers

It is given Balance forward $643.72 in the account. An amount of $68.29 is given to to Lupe's Market, for food. In the account a Deposit of $341.80 is made.A Cheque of $34.18 is given to Broadmoor Community Center .Charge for for plumbing services, is $60.00 .

Transactions made in the account = $643.72-68.29+341.80-34.18-60.00

Amount left in the account =$823.05.

Answer:

Running Total = $823.05

Step-by-step explanation :

When the figures were entered on a checking account record to keep the running total correct :

Balance forward = $643.72

Check #5734 to Lupe's Market for food = $68.29

A deposit = $341.80

Check #5735 to Broadmoor Community Center = $34.18

Check #5736 to Bill Baughman for plumbing services = $60.00

Total Transactions :

643.72 - 68.29 + 341.80 - 34.18 - 60 = $823.05

Total balance = $823.05

Which is the graph of f(x) = x2 – 2x + 3? Help its timed, also don't want an verified answers

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)))))))))))))))))))))))))))

to resolve this type of exercise you must in first place to verify The determinant of the function to know if it cuts to the x axis, with the following formula b^2-4ac, if this value is less than zero then the function , do not cut the x axis, now -(2)^2-4(1)(3) = -8, as this value is negative, it means that is less than zero nd the function do not cut the x axis

2) the graph cut the y axis eN Y = 3 for x= o, F(0) = 0+2*0+3 = 3

3) This is the graph

x-1/x-1=1
Solve the equation.
These are fractions

Answers

x = all real numbers, except for x = 1.

A number divided by itself will always yield a result of 1. (x-1) is being divided by (x-1), which means that both the numerator and denominator are identical. This will always produce a result of 1, with one exception:

x cannot equal 1, as division by zero is impossible. (1-1) = 0.

A jogger goes 1.5km west and then turns south.If the jogger finishes 1.7 km from the starting point,how far south did the jogger go?

Answers

Hello!

You can use the Pythagorean Theorem to solve this

[tex] a^{2} + b^{2} = c^{2} [/tex]

c is the hypotenuse
a and b are the legs

Put in the values you know

[tex] 1.5^{2} + b^{2} = 1.7^{2} [/tex]

Square the numbers

[tex]2.25+ b^{2} =2.89[/tex]

Subtract 2.25 from both sides

[tex] b^{2} =0.64[/tex]

Take the square root of both sides

b = 0.8

The answer is 0.8km

Hope this helps!

Final answer:

To find out how far south the jogger went, we use the Pythagorean theorem. Given the distances of 1.5 km west and 1.7 km from the start, the jogger went 0.8 km south.

Explanation:

To determine how far south the jogger went, we can use the Pythagorean theorem, as the jogger's path forms a right-angled triangle where one leg of the triangle is the distance west, the other leg is the distance south, and the hypotenuse is the distance from the starting point.

The question states the jogger goes 1.5 km west and ends up 1.7 km from the starting point. We denote the distance travelled south as y. According to the Pythagorean theorem:

west^2 + south^2 = distance from start^2

y = √0.64

y = 0.8 km

So the jogger went 0.8 km south.

Evaluate the expression 5a + 5b. Let a = -6 and b = -5.

Answers

Evaluate the expression 5a + 5b. Let a = -6 and b = -5.

n = 5a + 5b
n = 5(-6) + 5(-5)
n = -30 + -25
n = -55

Hope this helps

-55 is your answer !!!!

PLEASE HELP The data below shows the scores of some students on a test: 28, 30, 22, 20, 24, 23, 32

Answers

What is the question?

in an experiment, the control variable is r and the response variable is s. which variable is not manipulated, but measured, and represents the data being recorded

Answers

S.
Control variables are kept constant between experiments.

Control variable r is not manipulated, but measured and represents the data being recorded.

What is mean by Variables?

A variable is a value that can change, depending on information.

Given that;

In an experiment, the control variable is r and the response variable is s.

Now,

Control variable is a variable that's always constant in an experiment.

It is not a variable of interest in the study, but its controlled because it could influences the outcomes.

Thus, Control variable r is not manipulated, but measured and represents the data being recorded.

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Find the GCF of the following terms.
16xy^3 , 20x^2y^2 , -4x^2y

Answers

[tex]16xy^3=4xy\cdot4y^2\\\\20x^2y^2=4xy\cdot5xy\\\\-4x^2y=4xy\cdot(-x)\\\\GCF(16xy^3;\ 20x^2y^2;\ -4x^2y)=4xy[/tex]

Q #9. find the volume of the sphere

Answers

volume of the sphere = (4/3)π r³ = (4/3)π 5³ = (4/3) * 3.14 * 5³ =523.33 in³
= 523 in³
The correct answer is the first

we know that
volume of a sphere=(4/3)*pi*r³
for r=5 in
volume of a sphere=(4/3)*pi*5³-------> 523.33 in³-------> volume =523 in³

the answer is
the volume is equal to 523 in³

A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s.
A) A(s) = 2s
144 - s2
B) A(s) = s
144 - s2
C) A(s) = 2s
12 - s2
D) A(s) = 12s
144 - s2

10)
The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)?
A) 12 ft
B) 13 ft
C) 14 ft
D) 15 ft

Answers

Part a)
we know that
area of triangle=b*h/2
b=s
applying the Pythagoras theorem
h²=12²-s²--------> h=√(144-s²)
so
A=(1/2)*s*√(144-s²)
Part b)
applying the Pythagoras theorem
c²=a²+b²
in this problem
c is the minimum length ladder needed to reach the top of the wall
a=5 ft
b=13 ft
so
c²=5²+13²-----> c²=194--------> c=13.93 ft-------> c=14 ft

the answer is
14 ft

what tool or tools would you choose to use to solve this problem?

Answers

Which problem? these seem like some questions I Can answer

Answer:

A tool.

Now I just need to put filler so I'm just gonna copy and paste. Now I just need to put filler so I'm just gonna copy and paste.

Farmer Ed has 7000 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Ed does not fence the side along the river, what is the largest are that can be enclosed?

Width = 2x
Length = 7,000-2x

Answers

Hope this helps you!

Find the area of 7.1m. Round to the nearest tenth. Use 3.14.

Answers

The area is 158.2874 m²

Two functions are represented in different ways. Function 1: y = 32x + 45 Function 2: x y 0 65 1 85 2 105 3 125 Which statements are true? Select each correct answer. Function 1 has a greater rate of change than function 2. Function 2 has a greater rate of change than function 1. Function 1 has a greater y-intercept than function 2. Function 2 has a greater y-intercept than function 1.

Answers

Function 1: y = 32x + 45
rate of change = 32
y-intercept = 45 when x = 0

Function 2: x y 0 65 1 85 2 105 3 125
rate of change = (85-65)/(1-0) = 20
y-intercept = 65 when x = 0

So the following statements are correct:

Function 1 has a greater rate of change than function 2.

Function 2 has a greater y-intercept than function 1.

Answer:

Step-by-step explanation:

Function 1: y = 32x + 45 <- 45 is y-intercept

Function 2: x y 0 65 <- 65 is y-intercept

So Function 2 has a greater y-intercept than function 1.

Function 1: y = 32x + ... <- 32 is rate of change

Function 2: x y 0 65 1 85

rate of change = 85 - 65 = 20

So Function 1 has a greater rate of change than function 2.

amelia and 2 of her friends went out to lunch. each girl ordered exactly the same meal. the total cost 55.08, which included 8% sales tax. what was the price of each meal, not including tax?

Answers

Cost of the meal with tax = 108% = $55.08

108% = 55.08
1% = 55.08 ÷ 108 = $0.51
100% = $51

3 meals = $51
1 meal = $51 ÷ 3 = $17

Answer: $17

Answer:

$16.8912

Step-by-step explanation:

We are given that Amelia and her two friends went out to lunch.

If each girl ordered exactly the same meal.

We have to find out the value of price of each meal without tax.

Total cost of meals=$55.08

Cost of 3 meals with tax=$55.08

Sales tax=8% of $55.08

8% of 55.08=[tex]\frac{8}{100}\times55.08[/tex]

8% of 55.08= $4.4064

Cost of 3 meals without tax=$55.08-$4.4064=$50.6736

Cost of each meal=[tex]\frac{50.6736}{3}=[/tex]$16.8912

Hence, the cost of each meal without tax=$16.8912

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Factor by grouping Ab+4+a+4b A 4.0 resistor, an 8.0 resistor, and a 13.0 resistor are connected in parallel across a 24.0 v battery. what is the equivalent resistance of the circuit? answer in units of . How is the graph of y=^30.5x related to its parent function,y=^3x ? A.It is horizontally stretched by a factor of 0.5 B. It is horizontally compressed by a factor of 0.5 C. It is translated left by 0.5 units D. It is translated right by 0.5 units The _____ has four lobes and is the largest gland in the body. At what temperature would stored raw chicken become unsafe to use? 0F 25F 41F 55F In Milgram's experiment: A.the "learner" sometimes had lasting injuries. B.two-thirds of people refused to participate. C.almost no one went to 450 volts. D.almost two-thirds of participants went all the way to 450 volts. Discuss a factor of how the 1920s contributed to the great depression. Job redesigns are good ways to reduce stress that employees feel from ________. james K. polk hoped to gain acces to the pacific ocean throughA. manifiest destinyB. trade with asiaC. the gold rushD southern plantation owners What type of air mass would be responsible for refreshing cool, dry breezes after a long summer hot spell in the central plains? How many calories in chili cheese fries from doublez? Uncle tom's cabin outraged slave owners because it: was authored by harriet tubman. showed how the brutal realities of slavery harmed everyone associated with it. convinced many poor southern whites to oppose slavery. started the civil war. was an objective description of life under slavery. I need your help here! 15 pointa and brainliest. If you cant do it, at least give me the formula to this so I can solve it. what is the equation of a circle with a center located at (4,-1) and a radius of 9 The local grocery store wants to know if the shoppers prefer Crest or Colgate toothpaste. The store gives all of its shoppers a value saver card, then uses a random number generator to select 30 card numbers and surveys those shoppers. Is this sampling method representative of the entire population and explain? A. No, some shoppers may not buy toothpaste there. B. Yes, all shoppers have a value card and the shoppers interviewed were chosen by a random number generator. C. No, need a bigger sample. D. No, the store should only ask women. Compute the area of a triangle with sides. 15 15 18 He was invited ______ he did not come. A: if B: when C: or D: but E: while Although all young people face similar financial pressures while in their twenties, considerably more men move back in with their parents than women. why? When combined two gases have a pressure of 4.0 atm.if one has a pressure of 1.5 atm , what is the pressure of the second gas? Shakespeare often employs a literary technique known as dramatic irony. dramatic irony exists when the reader or viewer knows something that one or more of the characters do not. for example, when paris asks juliet to confess to friar laurence that she loves him, she carefully voids denying it. we know that juliet loves romeo, not paris. identify two other examples of dramatic irony in act iv. explain how these ironic moments contribute to the building tension in the play.