What is the volume of the rectangular prism?


A rectangular prism has length of 10.4 millimeters, width of 5 millimeters, and height of 8 millimeters.


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Answer:

Step-by-step explanation:

The sqrt of 1/64 is 1/8, or 0.125.

1/4 is equivalent to 0.25.

0.2 repeating is 0.222222222222 ...

Least:  0.125

Middle:  0.25

Greatest:  0.222222222222 ...

The numbers from least to greatest are: square root of 1/64 (0.125), 0.2 repeating (0.222...), and 1/4 (0.25).

This problem requires an understanding of fractions and square roots to order the numbers correctly. Firstly, you have to calculate the square root of 1/64. The square root of 1/64 is 1/8 or 0.125. Then, let's consider the other numbers: 1/4 which is equal to 0.25, and 0.2 repeating which is actually equivalent to 0.222 continuing. Now we can order them from least to greatest: 1/8 (0.125), 0.2 repeating (0.222...), and 1/4 (0.25).

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Answer:

(x - 15)(x + 3)

Step-by-step explanation:

Factors of 45 include 5 and 9, 3 and 15, 1 and 45, and so on.

Note that 3*15 =+45; this is not what we wanted.  Thus, try (-3)*15 = -45.

Do -3 and 15 combine to yield -12?  No.  Thus drop (-3)(15) and try (3)(-15).

Do 3 and -15 combine to yield -12?  YES

Therefore, the factored form of x² - 12x - 45 is (x - 15)(x + 3).

Answer:

Step-by-step explanation:

I will take a to be 52.6 * 10^-9 The number should be 5.26 * 10^-8 so A is not the answer.

6.39*10^9 This one is correct.

0.12 * 10^-2 is not correct. It should be 1.2*10^-3

10 * 10 ^7 should be 1*10^8 so D is not correct.

The coefficient of scientific notation must  be a number between 1 and 10 and including 1 but not 10. This is written as 1 ≤x <10

Final answer:

To determine if a number is written in correct scientific notation, it must have a coefficient between 1 and 10, followed by 'x 10' raised to an exponent. For the options provided, the number 6.39 × 10⁹ fits the proper scientific notation format.

Explanation:

To be written in correct scientific notation, a number must be in the form of a single non-zero digit followed by a decimal and any subsequent digits, times a power of ten. Here are the requirements for correct scientific notation:

Let's evaluate the provided options and convert them to correct scientific notation if needed:

The number in correct scientific notation from the initial options given is 6.39 × 10⁹

Answer:

Step-by-step explanation:

The formula of a surface area of a rectangular prism l × w × h:

[tex]S.A.=2(lw+ih+wh)[/tex]

We have l = 5.5, w = 5 and h = 13. Substitute:

[tex]S.A.=2(5.5\cdot5+5.5\cdot13+5\cdot13)\\\\S.A.=2(27.5+71.5+65)\\\\S.A.=2(164)\\\\S.A.=328[/tex]

You just need a calculator for these so there is no working

7)[tex]4.569245397*10^{-3}[/tex]

8)[tex]\frac{1}{2}[/tex]

9)0.5773502692

10)[tex]6.853838284*10^{-3}[/tex]

I am not sure for the rest, sorry havent done that far in school yet :)

Hope these helps :)

You need the Unit Circle to answer these questions! (attached)

7. Answer: [tex]\bold{\dfrac{\sqrt6-\sqrt2}{4}}[/tex]

Step-by-step explanation:

[tex]sin\dfrac{\pi}{12}=15^o\\\\\text{Since }15^o\text{ is not on the Unit Circle, you will need to use the difference}\\\text{formula for sin: sin(A - B) = sinAcosB - cosAsinB}\\\\sin15=sin(45-30)=\dfrac{\sqrt2}{2}\cdot\dfrac{\sqrt3}{2}-\dfrac{\sqrt2}{2}\cdot\dfrac{1}{2}=\dfrac{\sqrt6}{4}-\dfrac{\sqrt2}{4}=\boxed{\dfrac{\sqrt6-\sqrt2}{4}}[/tex]

8. Answer: 0

Step-by-step explanation:

The sum formula for cos is: cos (A + B) = cosA cosB - sinA sinB

Since we are given cos75° cos15° - sin75° sin15°, we can conclude that we are looking for cos (75° + 15°) = cos 90°.

The Unit Circle shows us that cos 90° = 0

9. Answer: [tex]\bold{\dfrac{\sqrt3}{3}}[/tex]

Step-by-step explanation:

The given expression is for tan (A + B).

tan (10° + 20°) = tan 30° = [tex]\dfrac{sin30^o}{cos30^o}=\dfrac{1}{\sqrt3}\implies\boxed{\dfrac{\sqrt3}{3}}[/tex]

10. Answer: [tex]\bold{\pm\dfrac{2-\sqrt2}{2}}[/tex]

Step-by-step explanation:

[tex]sin\dfrac{\pi}{8}=22.5^o=sin\dfrac{45^o}{2}\\\text{So we need to use the half-angle formula for sin:}\\\\sin\dfrac{\theta}{2}=\pm\sqrt\dfrac{1-cos\theta}{2}}\\\\sin\dfrac{45^o}{2}=\pm\sqrt\dfrac{1-cos45^o}{2}}=\pm\sqrt\dfrac{1-\frac{\sqrt2}{2}}{2}}=\pm\sqrt\dfrac{\frac{2}{2}-\frac{\sqrt2}{2}}{\frac{4}{2}}}=\boxed{\pm\dfrac{2-\sqrt2}{2}}[/tex]

11. TOO BLURRY TO SEE THE PROBLEM

12. Answer: [tex]\bold{\dfrac{7}{25}}[/tex]

Step-by-step explanation:

Quadrant II means that sin is positive and cos is negative.

[tex]sin\ x=\dfrac{3}{5}\implies cos\ x=-\dfrac{4}{5}\\\\cos\ 2x=cos^2\ x-sin^2\ x\\\\.\qquad=\bigg(\dfrac{-4}{5}\bigg)^2-\bigg(\dfrac{3}{5}\bigg)^2\\\\.\qquad=\dfrac{16}{25}-\dfrac{9}{25}\\\\.\qquad=\boxed{\dfrac{7}{25}}[/tex]

Answer:

The value of y in the solution of the system is [tex]y=1[/tex]

Step-by-step explanation:

we have

[tex]y=3x-5[/tex] -----> equation A

[tex]6x+3y=15[/tex] -----> equation B

substitute equation A in equation B

[tex]6x+3(3x-5)=15[/tex]

[tex]6x+9x-15=15[/tex]

[tex]15x=15+15[/tex]

[tex]15x=30[/tex]

[tex]x=2[/tex]

Find the value of y

[tex]y=3(2)-5=1[/tex]

4/3 or it can be turned into a repeating decimal 1.333333....

Answer:

4 2/3

Step-by-step explanation:

First borrow the 6 for the 1/3. Now, it becomes 4/3. Then subtract. (6 4/3 - 1 2/3) which is 4 2/3.

Answer:

x < -4

Step-by-step explanation:

To solve the inequality, use inverse operations.

-3x + 5 > 17

-3x > 17 - 5                    Subtract 5 from both sides.

-3x > 12                         Divide both sides by -3.

x < -4                             Flip the inequality sign since you divided by a negative.

JK=KL

Substitute

8x+11= 14x-1

-8x -8x

----------------------

11 = 6x-1

+1 +1

-----------------------

(÷6)12=6x (÷6)

------------------------

x = 2

JK+KL= JL

Substitute

8x+11+14x-1

8(2) +11+14(2)-1

---------------------------

16+10+ 28

26+28

54

JL=54

7 is the answer

Area =length *breadth

Area =length *length

Area=49=x *x

[tex]49 = {x}^{2} \\ \sqrt{49} = x \\ x = 7[/tex]

Answer:

Step-by-step explanation:

"the greatest value of n is 8" is signified by n ≤ 8.

This is a set, and also an inequality.

You would have 2/10 chance of choosing the sugar cookie then after you chosen it 5/9 chance of picking up a peanut butter cookie. I hope this helps

Answer:

1/9

Step-by-step explanation:

The total number of cookies is

2 sugar cookies+ 5 peanut butter cookies+ 3 chocolate chip cookies= 10

We want to take a sugar cookie

P(sugar cookie) = # sugar cookie/total cookies

                          = 2/10 = 1/5

Now we eat the cookie (not replacing it) so there are only 9 cookies

1 sugar cookies+ 5 peanut butter cookies+ 3 chocolate chip cookies= 9

Now we want a peanut butter cookie

P(peanut butter  cookie) = # peanut butter cookie/total cookies

                          = 5/9

To get the probability of both events happening, multiply them together

P( sugar, peanut) = 1/5 * 5/9

                            = 1/9

Answer:

$5.40

Step-by-step explanation:

To find the increase we need to consider our variables.

Current Rate = $4.50

Increase Percentage = 20% or 0.20

Now we can find the new rate by multiplying the Current Rate to the Increase Percentage and add it to the Current Rate again.

Total Price w/ Increase = ($4.50 x 0.20) + $4.50

Total Price w/ Increase = $0.90 + $4.50

Total Price w/ Increase = $5.40

Answer:

12000 m³

Step-by-step explanation:

The volume (V) of a pyramid is calculated using the formula

V = [tex]\frac{1}{3}[/tex] × area of base × height, hence

V = [tex]\frac{1}{3}[/tex] × 900 × 40 = 300 × 40 = 12000 m³

Answer:

12000 no problem

Step-by-step explanation:

Answer:

9 units squared

Step-by-step explanation:

The figure is a rectangle with length 3 and height 3. See attached picture. The area is found using A = b*h = 3*3 = 9.

Answer:

3X(5+7)

Step-by-step explanation:

Because correctly is of this way:

3X(5+7)

and not so:

(3X5) + 7

Best regards

➷ You have written it the incorrect way.

Following the rules of PEMDAS, the multiplication would be carried out before the addition. This is not what is wanted

The question would want 3 times the SUM of 5 and 7.

To make sure you get the correct answer, you would have to write the expression slightly different

The correct way would be:

3(5 + 7)

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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I think the root of "3x + 1 = 7" is 2...

Answer:

The root of the equation is x=2.  

Step-by-step explanation:

Given : Equation [tex]3x+1=7[/tex]

To find : Solve for x?

Solution :

Step 1 - Write the equation

[tex]3x+1=7[/tex]

Step 2 - Subtract 1 both side,

[tex]3x+1-1=7-1[/tex]

[tex]3x=6[/tex]

Step 3 - Divide the equation by 3,

[tex]\frac{3x}{3}=\frac{6}{3}[/tex]

[tex]x=2[/tex]

Therefore, The root of the equation is x=2.  

Answer:

x = - 7, x = - 5

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)

The factors are + 7 and + 5, since

7 × 5 = 35 and 7 + 5 = 12, hence

x² + 12x + 35 = 0 ← in standard form

(x + 7)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 5 = 0 ⇒ x = - 5

Answer:

15

Step-by-step explanation:

The highest exponent in a polynomial function is the degree. The degree is also the greatest number of roots available. Since roots come from the factors of the function, as each factor is multiplied the degree increases. If the degree is 15 the greatest number of factors or roots it can have is 15.

Answer:

step 4: Take the square root on both sides

√(x + 2)^2 = √10

step 5: Simplify

x + 2 = ±√10

Step 6: Solve for x

x = √10 - 2 and x = -√10 + 2

Step-by-step explanation:

Step 1: x^2 +4x = 6

Step 2: x^2 +4x +4 =  6+4

Step 3: (x +2)^2 = 10

The next 3 steps are:

step 4: Take the square root on both sides

√(x + 2)^2 = √10

step 5: Simplify

x + 2 = ±√10

Step 6: Solve for x

x = √10 - 2 and x = -√10 + 2

Hope this will helpful.

Thank you.

The solution of the given quadratic equation is,

x =  1.16 or -2+12i

The given expression is

x² +4x - 6 = 0,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

Then, after comparison,

a = 1, b = 4 and c = -6

Therefore the given equation is an quadratic equation,

We can write it apply quadrature formula:

x = (-b ± √(b²-4ac))/2a

  = (-4  ± √(16+24))/2

  = 1.16 or -2+12i

Hence,

x =  1.16 or -2+12i

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your answer is 15 centimeters

Answer: The correct answer is C

Step-by-step explanation: since the 8 has a less than or equal too sign the bubble will be filled, and since the 6 has just a greater than sign the bubble is left empty. Also all the numbers are postive so the line would be on the postive side of the line graph.

Answer:

Step-by-step explanation:

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

We have the points (-7, 2) and (-8, -9). Substitute:

[tex]m=\dfrac{-9-2}{-8-(-7)}=\dfrac{-11}{-1}=11[/tex]

[tex]y-2=11(x-(-7))\\\\y-2=11(x+7)[/tex]

Convert to the standard form:

[tex]y-2=11(x+7)[/tex]           use the distributive property a(b + c) = ab + ac

[tex]y-2=11x+77[/tex]            add 2 to both sides

[tex]y=11x+79[/tex]           subtract 11x from both sides

[tex]-11x+y=79[/tex]        change the signs

[tex]11x-y=-79[/tex]

Answer:

.15 mph

Step-by-step explanation:

3 miles/ 20 hours or 3/20

Answer:

6 hours and 42 minutes (402 minutes)

Step-by-step explanation:

20 ÷ 3 = 6.7 hours

6.7 hours = 6 hours and 42 mins

To check if our answer is correct:

Do the inverse

6. 7 hours x 3 = 20.1

Round it to nearest whole number, 20

Answer:

Part 1) The solution of the system of equations is (2,-5)

Part 2) The solution of the system of equations is (2,4)

Step-by-step explanation:

Part 1) Linear combination

we have

[tex]3x+2y=-4[/tex] -----> equation A

[tex]4x-y=13[/tex] -----> equation B

Multiply equation B by 2 both sides

[tex]2(4x-y)=2*13[/tex]

[tex]8x-2y=26[/tex] -----> equation C

Adds equation A and equation C

[tex]3x+2y=-4\\8x-2y=26\\-------\\3x+8x=-4+26\\11x=22\\x=2[/tex]

Find the value of y

[tex]3(2)+2y=-4[/tex]

[tex]2y=-4-6[/tex]

[tex]2y=-10[/tex]

[tex]y=-5[/tex]

The solution of the system of equations is (2,-5)

Part 2) By graph

[tex]y=(1/2)x+3[/tex] -----> equation A

[tex]-3x+y=-2[/tex] -----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

Using a graphing tool

The intersection point is (2,4)

therefore

The solution of the system of equations is the point (2,4)

see the attached figure

Volume=length×width×height

=5×3×6

=90 cu.ft

Answer:

Step-by-step explanation:

The formula of a volume of a rectangular solid (cuboid):

[tex]V=lwh[/tex]

l - length

w - width

h - height

We have

[tex]l=5\ ft,\ w=3\ ft,\ h=6\ ft[/tex]

Substitute:

[tex]V=(5)(3)(6)=90\ ft^3[/tex]

Answer: Sort a list of couples married in his county into a random order, then ask the first 30 couples on the list.

Step-by-step explanation:

Answer:

b. Sort a list of couples married in his county into a random order, then ask the first 30 couples on the list.

Step-by-step explanation:

please mark me brainlist

im not just going to leave you guys with this explaination because i dont really like people just putting answers up when it's wrong just for the points thats why i try to show proff on MOST of my work

the screenshot is below

4) - 4w^3

3rd answer

5)4th answer

6)4th answer

Answer:

4) - 4w^3

3rd answer

5)4th answer

6)4th answer

Step-by-step explanation:

I had the same thing

Answer:

[tex]3^{3}[/tex] = 27.

Step-by-step explanation:

3 to the third power ( [tex]3^{3}[/tex] ) is the same as :

3 x 3 x 3 which would equal :

3 x 3 = 9 x 3 = 27.

Hope this helps,

Davinia.

27

3 times.3 times 3

9 times 3

27