how many unit cubes needed to be added to the figure so that it will have a total volume of 12 cubic units

Answers

Answer 1

The number of cubic units needed to add to the figure so that it will have a total volume of 12 cubic units, 4 units

What is Volume?

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.

Given that,

There are 2 units in each back side and front side,

So, there are 4 units on the back and front,

Now the number of units between them,

There are 4 units in between both the sides,

Add all the units,

4 + 4 = 8,

there are total 8 units in this figure

Now, the number of units should be added to these 8 units to get a result of 12 units altogether.

So, subtract the 8 units from the 12 units

12 - 8 = 4,

Hence, The units required are 4

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Related Questions

Hamza had MVR 835 in his pocket. While eating in a restaurant, he ordered a fish curry for MVR 30 ,a plate of rice for MVR 15 and a bottle of fruit juice for MVR 39. How much money was left with him ?

Answers

Answer:

i hope this help

Step-by-step explanation:

Hamza spent 30 + 15 + 39 = 84 MVR.

So, Hamza had 835 - 84 = 751 MVR left.

In parallelogram LMNP if PQ=21 find QM.
5 stars and like

Answers

Answer: The diagonals of a parallelogram bisect each other, then. QM = PQ = 21. Explore all similar answers.

Step-by-step explanation: got do the d

Which coordinate pair is the best estimate of the point of intersection in this graph?

Answers

Answer:

(1,1)

Step-by-step explanation:

rewrite the expression without absolute value bars

Answers

The expression without absolute value bars is 3.84.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

|√10 - 7 |

= | 3.16 - 7 |

= | -3.84 |

= 3.84

Thus,

The value of the expression is 3.84.

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draw a design that uses three equilateral triangles and two isosceles triangles. label the vertices. list all the congruent sides and angles

Answers

In geometry, an equilateral triangle is one with three equal-length sides. In the traditional Euclidean geometry, an equilateral triangle is also equiangular, which means that each of the three internal angles is 60 degrees and that they are all congruent with one another.

What is internal angle?A shape's interior can contain angles. The closed, side-and-vertex-containing shapes are known as polygons. All of the internal angles of a regular polygon are equal. For instance, the inner angles of a square are all exactly 90 degrees, or the right angle.Interior angle of a polygon is equal to the sum of interior angles divided by the number of sides, according to the following formula. A polygon has a total of 360° in its outside angles. Exterior angle of a polygon is equal to 360 divided by the number of sides, according to the following formula. An interior angle is one that is located inside a polygon. As an illustration, a triangle has three interior angles.

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The design using three equilateral triangles and two isosceles triangles is shown using the vertices.

What are equilateral triangles?

Any triangle with three equal sides is said to be equilateral. The third side of this particular isosceles triangle is also equal. ABC has the formula AB = BC = CA. An equilateral triangle has the following qualities:

It has three equal sides. The three angles are equal. Every angle of an equilateral triangle is 60 degrees since the sum of the interior angles is 180 degrees.

It has three regular sides and is a polygon.

What are isosceles triangle?

Regardless of which way the triangle's apex points, an isosceles triangle is one that has two equal sides. Angle determination can be done using isosceles triangles. AB Equals AC in the isosceles triangle ABC. Likewise, PQ Equals PR in the triangle PQR. The isosceles triangle's base is represented by the uneven sides BC and QR, while vertices A and P are regarded as the triangle's peaks. Among its attributes are:

There are equal sides on it. The basis angles are two equal angles that make up the object. A triangle is referred to as a right isosceles triangle when the third angle is 90 degrees.

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Which table represents a linear function?
Which table represents a linear function? - 1

Answers

A linear equation is an equation in which each term has at max one degree. The table that represents a linear function is Table 1. Thus, the correct option is A.

What is a linear equation?

A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.

For the table to represent a linear function, the function must have a constant slope between any two points.

For the first table, the slope between the first two points is,

m = (7-3)/(2-1) = 4

The slope between the last two points is,

m = (15-11)/(4-3)

Hence, the table that represents a linear function is Table 1. Thus, the correct option is A.

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Find the coordinates of the point on the unit circle at an angle of 225∘.

Give your answer in the form (x,y) and leave any fractions in fraction form.

Answers

The unit circle has the co-ordinates (-√2/2, -√2/2)

What are trigonometric functions?

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: The unit circle and the point makes an angle of 225

we know the co-ordinates of any point on the unit circle is given by

x=cost and y=sint where t is the angle that line passing through the origin containing the point makes with x-axis

Thus x=cos225

=-√2/2

and y=sin225

=-√2/2

Hence, The required point is given by co-ordinates (-√2/2, -√2/2)

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Which number is rational?
A. 4√2 B. √15 C. √3 D. √16
Please explain thank you

Answers

Answer: D

Step-by-step explanation:

Think about it this way, 3 squared is 3x3 correct? that equals 9. 4 squared is 16 so there you go. Sorry if this isn't answered clearly.I'm trying my best to help

Divide the polynomials.
The form of your answer should either be p(x) or p(x) +
x
is an integer.
5x³ 22x²
x
-
5
17x +11
k
where p(x) is a polynomial and k
5

Answers

The division expression is (5x³ - 22x² - 17x + 11)/(x - 5) = 5x² + 3x - 2 + (2/(x - 5))

How to divide the polynomial

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

(5x³ - 22x² - 17x + 11)/(x - 5)

Using a synthetic setup, we have

x - 5 = 0

This gives

x = 5

So, the set up becomes

5 | 5 -22 -17 11

The synthetic division is then carried out as follows

5 | 5 -22 -17 11

25 15 -10

5 3 -2 1

So, we have

Quotient = 5 3 -2

Remainder = 1

Introduce the variable

Quotient = 5x² + 3x - 2

Remainder = 2

Hence, the quotient is 5x² + 3x - 2 and the remainder is 2

Answers

a) On compounding the amount of money in account after 35 years will be $356796.54.

b) $84000 is the total money that will be put into the account.

c) The total interest earned is obtained as $272796.54.

What is Compound Interest?

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

a) Figure out the period interest rate, i.

Use the formula: i=r/m, where r is the nominal interest rate and m is the number of compounding periods.

If the bank pays 7% compounded monthly, that means that the nominal annual interest rate is 7.0% and the monthly period interest rate is 7/12 = 0.58%.

The principal amount A = $200

The number of times interest applied per time period n = 35 × 12 = 420

Now, use the uniform series compound-amount factor to find the future value.

The equation is -

F = A [((1 + i)^n) - 1] / i

where F is the future value, A is the annuity amount, i is the period interest rate.

Substitute the values into the equation -

F = 200 [((1 + 0.0058)^420) - 1] / 0.0058

F = 200 [((1.0058)^420) - 1] / 0.0058

F = 200 (11.3471 - 1) / 0.0058

F = 200 (10.3471) / 0.0058

F = 200 × 1783.9827

F = 356796.54

Therefore, the amount will be $356796.54 after 35 years.

b) The total money put in the account will be -

Total amount = The principal amount × The number of times interest applied per time period

Total amount = A × n

Substitute the values into the equation -

Total amount = 200 × 420

Total amount = 84000

Therefore, the total amount is $84000.

c) The total interest earned will be -

Total Interest = The future amount - The total money put in the account

Total Interest = F - The total money put in the account

Substitute the values into the equation -

Total Interest = 356796.54 - 84000

Total Interest = 272796.54

Therefore, the total interest is $272796.54.

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The reader can tell that this excerpt is part of the poem’s resolution, because the speaker

finally feels a sense of belonging.
finally learns how to play baseball.
no longer wants to get home before dusk.
no longer tries to catch the ball.

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ME ANSWER

Answers

Option D is correct

Answer: D)12 units

Step-by-step explanation:

Because, your y axis travels from 34 to 22, in that case you have to take away 22 from 34 which you get 12.

Tonya handed out 240 fliers advertising a school play. It took her 5 hours to hand out all 240 fliers.

If Tonya’s rate was StartFraction 240 fliers Over 5 hours EndFraction , at what unit rate did she hand out fliers each hour?

Tonya handed out
fliers per hour.

Answers

You have to divide 240 by 5, so it’s 48 :)

Y=x-2 and y=3x +5 what does x and y =

Answers

Answer:

x = - 3.5 , y = - 5.5

Step-by-step explanation:

y = x - 2 → (1)

y = 3x + 5 → (2)

substitute y = 3x + 5 into (1)

3x + 5 = x - 2 ( subtract x from both sides )

2x + 5 = - 2 ( subtract 5 from both sides )

2x = - 7 ( divide both sides by 2 )

x = - 3.5

substitute x = - 3.5 into either of the 2 equations for y

substituting into (1)

y = x - 2 = - 3.5 - 2 = - 5.5

then x = - 3.5 and y = - 5.5

How do I realign the handlebars for my big Flyer?

Answers

To realign the handlebars to your bike, you would need to:

Stand with your bicycle in front of you.Put your front wheel between your legs.Hold the bike's front wheel tight with your legs to keep the bike upright.Grab the handlebar and make it perpendicular to the front wheel.Keep the bike steadyLoosen the stem using the Allen wrench. Do minor adjustments using your hand.Put the handlebar in a straight position. Then use a ruler, tape measure, or adjust by sight to the correct placement.Use the Allen wrench or Hex key to gently turn the two bolts (some bikes have one) on the stem until they hold tight.After tightening the bolt(s), check the alignment again.Now, try rotating your bike using a handlebar.
What is a Handlebar?

Bicycles' steering is controlled by a handlebar. As it is typically immediately mechanically connected to a pivoting front wheel via a stem that is then attached to the fork, it is the equivalent of a tiller for vehicles and watercraft.

The steps to fix your big Flyer bike has been given above.

Answers

Answer:20 m/s

Step-by-step explanation:

Answer:

20 m/s

Step-by-step explanation:

700 ÷ 35 = 20 m/s

NEED HELP ASAP!!!

Given the graph of the function f(x) which graph shows the function g(x) if g(x) = f(x + 3) ?

Answers

Answer:

(d) see below

Step-by-step explanation:

You want the graph of g(x) = f(x+3) given the graph of f(x).

Translation

The graph of the parent function f(x) is translated right h units and up k units by ...

g(x) = f(x -h) +k

Here, we have (h, k) = (-3, 0), so the translation is to the left by 3 units.

The graph that shows f(x) translated left 3 units is attached.

What values complete the table if y = �3?

Question 3 options:

A)

9, 0, 9

B)

–3, 0, 3

C)

–9, 0, 3

D)

–3, 0, 9

[tex]y= \sqrt[3]{x} [/tex]

Answers

The values that will complete the function table are;

B) –3, 0, 3

How to solve function tables?

The function we are trying to solve is expressed as;

y = ∛x

When x = -27, we have the result as;

y = ∛-27

y = -3

When x = 0, we have;

y = ∛0

y = 0

When x = 27, we have;

y = ∛27

y = 3

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The perimeter of a rectangular red sticker is 14 millimeters. The sticker is 4 millimeters wide. How tall is it?

Answers

Answer:

3 millimeters

Step-by-step explanation:

The formula for finding perimeter: 2W+2L=P

W= width

L= length

P= Permiter

So just substitute the numbers in the equation

4 millimeters is the width

14 millimeters is the perimeter

So this is your equation

2*4+2L=14

8+2L=14

Subtract 8 from both sides

2L=6

Divide both sides by 2

L=3

So your length is 3 millimeters

To check:

(2*4)+(2*3)=14

8+6=14

14=14

A car rental agency charges $250 per week plus $0.10 per mile to rent a car.
a. Write an equation that expresses the weekly cost to rent the car, y, in terms of the number of miles driven during the week, x.
b. How many miles did you drive during the week if the weekly cost to rent the car was $260?

Answers

Answer:

a. 250+0.10x=y

b. 250+0.10x=260

-250. -250

———————————-

0 + 0.10x = 10

——— ——-

0.10 0.10

—————————————-

X = 100

( you drove 100 miles )

Step-by-step explanation:

In question A, basically you already have a base of 250 and you add 0.10, multiplying it with x, which is the number of miles, equals to the total amount. So the answer for that question is : 250+0.10x = y. For question B, you just had to substitute the y for 260, and solve for x ( subtract 250 from both sides, divide by 0.10 on both sides, and you get x = 100. So the answer for that question is you drove 100 miles.
hope this helped =)

Final answer:

The cost of renting a car can be formulated as y = 250 + 0.10x, with y representing the total cost and x the distance travelled. If the total cost was $260, then 100 miles were driven.

Explanation:

The car rental agency's charge can be represented as a linear equation with a fixed cost ($250/week) plus a variable cost ($0.10/mile). This can be represented algebraically as: y = 250 + 0.10x, where y is the total weekly cost and x signifies the number of miles driven.

To find out how many miles (x) were driven for a total cost of $260, substitute y with 260 in the equation and solve for x:

260 = 250 + 0.10xSubtract 250 from both sides: 10 = 0.10xDivide by 0.10 to solve for x: x = 100

Therefore, if the weekly cost to rent the car was $260, you drove 100 miles.

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5 inches : 2 feet. If the gym is 170 inches wide in the drawing, how wide is the actual gym?

Answers

Answer:

Step-by-step explanation:

170/5=34 34*2=68

Factor the expression.
(blankq^2-r^2s)(blankq^4+blankq^2r^2+blankr^4s^2)

Answers

The value of the expression is q^6 + q^4r^2 + q^2r^4s^2 - q^4r^2s - q^2r^4s + r^6s^3

How to factor the expression

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

(blankq^2-r^2s)(blankq^4+blankq^2r^2+blankr^4s^2)

Express properly

So, we have

(q^2-r^2s)(q^4+ q^2r^2 + r^4s^2)

Open the brackets

q^6 + q^4r^2 + q^2r^4s^2 - q^4r^2s - q^2r^4s + r^6s^3

There are no like terms in the expression

So, the solution is q^6 + q^4r^2 + q^2r^4s^2 - q^4r^2s - q^2r^4s + r^6s^3

Answers

The equation of the line is y = (1/2)x - 3.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through (0, -3) and (4, -1)

Now,

The equation of a line is y = mx + c

m = (-1 + 3) / (4 - 0)

m = 2/4

m = 1/2

Now,

(0, -3) = (x, y)

y = mx + c

-3 = (1/2) x 0 + c

-3 = c

c = -3

Thus,

y = (1/2)x - 3 is the equation of the line.

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Which of the following is the first step to rewriting the formula P = 2l + 2w to solve for l

A)
B)
C)
D)

Answers

b) Subtract [tex]2w[/tex] from both sides

Find the scale factor.
ABCD~EFGH

Answers

The scale factor for the given quadrilateral would be 1.5.

What is a scale factor?

A scale factor is a numerical value that is used to represent an object's enlarged or shrunk shape. It is a number that can be used to alter the size of any geometric figure or shape in relation to its original size. It aids in altering the figure's size but not its shape.

Given that the two quadrilaterals are similar to each other and are dilated by some scale factor.

The scale factor will be calculated as:-

Scale factor = 15 / 10

Scale factor = 1.5

Hence, the scale factor will be 1.5.

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You are the chief scientist of Neo Medtech Inc. Your company produces 3 types of devices to detect Covid-19, namely, A, B, and C. There are 3 different type of Materials used for production, namely, M1, M2 and M3.
To produce one unit of A requires 3 units of M1, 2 units of M2 and 6 units of M3. To produce one unit of B requires 3 units of M1, 2 units of M2, and 4 units of M3. To produce one unit of C requires 4 units of M3, 5 units of M1, and 7 units of M2. The manufacturer has an everyday available quantity of 71 thousand units of M1, 81 thousand units of M2 and 92 thousand units of M3.
a. Form a system of linear equations from the information above.
b. Write a matrix equation for the system of linear equations obtained in (b).
c. Use the inverse matrix method, find the quantity of A, B and C.
d. The production cost is RM0.70 for a unit of A, RM0.50 for a unit of B, and RM0.90 for a unit of C, find, using matrix method, the daily cost for these 3 types of medicine.

Answers

The answers to all parts shown below.

What is Matrix?

A set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

Given:

a) The system of linear equations

3A + 2B + 6C = 71, 000

3A + 2B +4C = 81, 000

5A + 7B + 0C= 92, 000

B) The equation for the system of linear equations

Y = [tex]\left[\begin{array}{ccc}3&2&6\\3&2&4\\5&7&0\end{array}\right][/tex] , Z = [tex]\left[\begin{array}{ccc}71000\\81000\\92000\end{array}\right][/tex]

So, YX = Z

X = Z[tex]Y^{-1[/tex]

C) The inverse matrix method

14/11 21/11 -2/11

= 1/22 10/11 -15/11 3/11

1/2 -1/2 0

= 7/ 121 21/ 242 -1/121

5/121 -15/242 3/242

1/44 -1/44 0

and, X = Z[tex]Y^{-1[/tex]

X = [tex]\left[\begin{array}{ccc}71000\\81000\\92000\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}7/ 121 &21/ 242& -1/121\\ 5/121&-15/242&3/242\\1/44&-1/44&0\end{array}\right] \\[/tex]

A= 10,376.03

B = 946.28

C= 227.72

d) The production for A = RM 7,263.221

The production for B = RM 473.14

The production for C = RM 204.948

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Samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. The result is 120 grams of 15% sugar syrup. How much pure sugar is in x grams of 10% syrup?

Answers

Answer:

40 grams

Step-by-step explanation:

........................

Answer: 0.10x grams

Step-by-step explanation:

Consider the graphs of f(x) = 2^x and g(x).
Which transformation can be used to describe g(x)?

Answers

Answer:

6 to right

Step-by-step explanation:

The value of y when x equals 0 on f(x) is 1. By looking at the graph of g(x), it looks like it reaches the value of y = 1 when x is 6. It also This means the same point is shifted over 6 to the right (considering it looks like no other modifications are made other than the shift).

54 students from a local high school were asked two questions about musical preferences: “Do you like rock?” “Do you like rap?” The responses are summarized in the table below. Is there evidence of a positive association between liking rock and liking rap?

Answers

There is evidence of a positive association between liking rock and liking rap as this can be seen from the fact that a larger proportion of students who like rock also like rap.

How to illustrate the information

When the values of two variables tend to rise together, this is referred to as a positive association between the two variables. When the values of one variable tend to fall as the values of the other variable rise, there is a negative relationship between the two variables.

There is proof that liking rap and liking rock are positively correlated. The fact that more pupils who enjoy rock also like rap (27 out of 33, or 81.8%) than those who don't like rock (17 out of 21, or 80.9%) demonstrates this.

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likes rap doesn't like rap

likes rock 27 6

doesn't like rock 4 17

Find the simple interest for the following. Use ordinary time (360 days). Round to the nearest cent.
$34,000 at 7.5% for 100 days

Answers

When the principal is $ 34000, the rate is 7.5%, and the time period is 100 days, the simple interest is $ 698.63.

what is simple interest ?

Increase the investment by the lending rates, the length of time, and other factors to arrive at simple interest. Simple return = money + interest + hours is the selling formula. This method makes it easiest to calculate interest. The most conventional technique to figure out interest is as a portion of the principal sum. He will indeed pay his share of the 100percent interest, for example, if he buys $100 from just a friend and offers to pay it back with 5% interest. $100 (0.05) = $5. When you borrow more money, you should pay interest, then when you give it out, you must charge interest. Interest is often determined as an extra component of the loan total. The interest on the loan is this percentage.

given

r = R/100 = 7.5%/100 = 0.075 per year,

putting time into years for simplicity,

100 days ÷ 365 days/year = 0.273973 years,

then, solving our equation

I = 34000 × 0.075 × 0.273973 = 698.63115

I = $ 698.63

When the principal is $ 34000, the rate is 7.5%, and the time period is 100 days, the simple interest is $ 698.63.

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