Question 4 OT TU
Find the volume of the cube in inches and enter your answer below. Round
your answer to the nearest hundredth. Do not include units in your answer.
3.2 in.
3.2 in.
3.2 in.
Answer here

Answer:

2 1/3

Step-by-step explanation:

Answer:

The associative property allows us to change groupings of addition or multiplication and keep the same value. (a+b)+c = a+(b+c) and (a*b)*c = a*(b*c).

Step-by-step explanation:

in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + (b + c) = (a + b) + c, and a(bc) = (ab)c; that is, the terms or factors may be associated in any way desired.

Answer:

Associative

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

[tex] = \dfrac{ \sqrt[3]{125} \times \sqrt[3]{64} }{ \sqrt[3]{125} - \sqrt[3]{64} } [/tex]

[tex] = \dfrac{5 \times 4}{5 - 4} [/tex]

[tex] = \dfrac{20}{1} [/tex]

[tex] = 20[/tex]

Answer:

D. y = 1/4x + 6​

Step-by-step explanation:

In the linear equation y = mx + b, m is the slope.

A graph will be steeper if it has a larger slope, and less steep if it has a smaller slope.

So, to find which equation has the least steep graph, find which one has the smallest slope.

Out of the 4 equations, the smallest slope is 1/4. Although -7 is the smallest number, it still has a steep slope. The negative sign just makes it go in the other direction.

So, the equation with the least steep graph is D. y = 1/4x + 6​

Answer:D

Y= 1/4x +6

Step-by-step explanation:

Answer:

a = 45 millimeters

Step-by-step explanation:

In order to solve this, we need to know that for right-angled triangles the following is true:

[tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the hypotenuse and "a" and "b" are the legs)

From the formula above we can conlude that...

[tex]a = \sqrt{c^{2} - b^{2} }[/tex]

Now we just substitute the variable that we know and get that...

[tex]a = \sqrt{c^{2} - b^{2} }\\a = \sqrt{75^{2} - 60^{2} } \\a = \sqrt{5,625 - 3600} \\a = \sqrt{2025} \\a = 45[/tex]

Therefore a = 45millimeters.

Answer:

$84.48

Step-by-step explanation:

Multiply the price before discount by 1.2 (100% + 20%) to get 70.40 x 1.2 = 80.48; $80.48

Hope this helps!

:)

B. |y| = 1.6

A sketch of the vector is attached to this response.

As shown, the vector lies on the second quadrant and its horizontal and vertical components are given by x and y respectively.

Where;

|x| = v cos θ              -----------------(i)

|y| = v sin θ               -----------------(ii)

and

v = magnitude of the vector = 2.5km/hr

θ = angle that the vector makes with the +x axis = 90° + 50° = 140°

To get the magnitude of the vector's vertical component

Substitute these values into equation(ii) as follows;

|y| = 2.5 sin 140°

|y| =  2.5 x 0.6428

|y| = 1.607

|y| ≅ 1.6 km/hr

Therefore, the vertical component of the vector has a magnitude of 1.6 km/hr.

Answer:

x = 7

Step-by-step explanation:

A median bisects the opposite side length, therefore

14x = 6x+56

8x = 56,

x = 7

Answer:

x = 7

Step-by-step explanation:

given:

AM is the median

BM = 14x

MC = 6x + 5x

since the median is drawn fron vertex A to BC it bisects the BC into two equal halves. So,

14x = 6x + 54

14x - 6x = 54

8x = 54

x = 54/8

x = 7

Answer:

58,+77,+31,+54+,58+,54+,46+,58+,56/9

If the value of the mean is 55.78. Then the standard deviation will be 10.98.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The data set is given below.

58, 77, 31, 54, 58, 54, 56, 58, 56.

Then the mean of the data set will be

Mean = (58 + 77 + 31 + 54 + 58 + 54 + 56 + 58 + 56) / 9

Mean = 502 / 9

Mean = 55.78

Then the standard deviation will be

[tex]\rm SD = \sqrt{\dfrac{(58 - 55.78)^2+(77-55.78)^2 + ..... + (56-55.78)^2 }{9}}\\\\SD = \sqrt { \dfrac{1085.5}{9}}\\[/tex]

On further solving we have

SD = 10.98

If the value of the mean is 55.78. Then the standard deviation will be 10.98.

More about the standard deviation link is given below.

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Answer:

sin 52°= AB/x

sin 52°=AB/7.7

AB= 6.06 m

Answer:

4 + 6 = 10 * 4 =40

Step-by-step explanation:

sana makatulong

His child is 10 years old.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Given

Assume now his child's age is x

4x-4  = 6(x-4)

4x-4 = 6x - 24

-4+24 = 6x-4x

20 = 2x

x=10

His child is 10 years old.

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Answer:

$527

Step-by-step explanation:

Find how much she has left by subtracting 287 from 814:

814 - 287

= 527

So, she has $527 left in her account

Answer:

285.214 cubic meters

Step-by-step explanation:

So I use this equation V=πr2h

All because this equation have a radius and so I put it in this form

V= π5.5^2 x 3

V=285

(I hope this help and if it’s wrong I am truly sorry)

The required volume of the given cylinder is 285.214 cubic meters. Option A is correct.

For a cylinder,
Height  = 3m
Radius = 5.5m
Volume = ?

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the cylinder is given as,
Volume = πr²h
Substitute the value in the equation,
Volume = 3.14×5.5²×3
volume = 285.214 cubic meters.

Thus, the required volume of the given cylinder is 285.214 cubic meters. Option A is correct.

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Answer:

the answer to this is 2048

Step-by-step explanation:

Answer:  B

Step-by-step explanation: Just round

Answer:

% increase = 100 x [(new price) - (original price)] / (original price)] = 100 (9.67 - 9.56) / 9.56

% increase ≅ 1.2% (to the nearest tenth)

10.17 seconds

hope this helps

Answer:

I think it is 20.8%

Step-by-step explanation:

The percentage of rent in the monthly startup cost is 20.8%

A part of a whole expressed in hundredths. In percentage we equate the total with hundred and find the sum.

The formula of percentage is (Y/X)×100 = P%, where "X" is total , "Y" is the individual number of which we want to find the percentage and "P" is the percentage value.

According to the formula,

X ⇒ $2,750 + $479 + $217 + $9,423 +  $250 + $100 = $13,219

Y = $2,750

P = (Y/X)×100

2750/13219 =0.20803

0.20803×100=20.80%

Thus the percentage of the rent in the total monthly startup cost is 20.80%

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The measure of angle OCD from the given figure is 58°.

Given that, the points A, B, C and D lie on a circle Centre O.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Here, OC and OB are radius of a circle, then BOC is isosceles triangle

Now, ∠BOC+∠OBC+∠OCB=180°

50°+∠OBC+∠OBC=180°

⇒ 2∠OBC=130°

⇒ ∠OBC=65°

Here, ∠OCD=∠BCD-65°

⇒ x=123-65=58°

Hence, the measure of angle OCD from the given figure is 58°.

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Answer:

Para el CO₂ sabemos que:

densidad = 0,001976 g/cm³

Sabemos que:

densidad = masa/volumen

Entonces, si tenemos una masa de 28 g, podemos escribir:

volumen = masa/densidad

volumen = (28g)/(0,001976 g/cm³) = 14,170 cm^3

Para obtener la masa molar (es decir, la masa de un mol de esta sustancia) simplemente sumamos la masa de un mol de cada componente.

Carbono: tiene una masa molar de 12 g/mol

Oxígeno: tiene una masa molar de 16 g/mol (y tenemos dos oxígenos)

entonces la masa molar va a ser:

masa molar = 12g/mol + 2*16g/mol = 44 g/mol

Es decir, un mol de CO₂, pesa 44 gramos.

Answer:

[tex]\displaystyle x > 6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 3^{6x + 18} < 27^{3x}[/tex]

Step 2: Solve for x

Answer:

[tex]x>6[/tex]

Step-by-step explanation:

When given the following equation;

[tex]3^(^6^x^+^1^8)<27^(^3^x^)[/tex]

One is asked to solve for ([tex]x[/tex]). The inequality has exponents, hence, it appears daunting at first, however, the easiest way to deal with exponents is to bring them to the same base. This allows for one to have the ability to treat the exponents like an ordinary number. Since ([tex]27=3^3[/tex]) one can rewrite ([tex]27^(^3^x^)[/tex]) as ([tex]3^3^*^(^3^x^)[/tex]). This is possible because raising a number to an exponent when it already has an exponent is the same as multiplying the two exponents. Rewrite the inequality in this format;

[tex]3^(^6^x^+^1^8)<3^3^(^3^x^)[/tex]

Simplify,

[tex]3^(^6^x^+^1^8^)<3^(^9^x^)[/tex]

Since the bases are the same they no longer have any relevance, so one can ignore the bases and only work with the exponents,

[tex]6x+18<9x[/tex]

Now solve this inequality like a  normal inequality. Use inverse operations;

[tex]6x+18<9x[/tex]

[tex]18<3x[/tex]

[tex]6<x[/tex]

Answer:

Step-by-step explanation:

Given,(3x-2y,7)=(11,x+y)

So,3x-2y=11...............(i)

      7=x+y

   or,x+y=7................(ii)

Now,Multiplying eqn.(ii) by 2,we get,

       2x+2y=14...........(iii)

Adding eqn(i) and eqn(iii),

        3x-2y+2x+2y=11+14

     or,5x=25

     or,x=5

Substituting value of x in eqn(i),

         5+y=7

      or,y=2

Hence,the values of x and y are 5 and 2 respectively.    

Answer:

El coseno del ángulo esta dado por:

[tex]cos(\theta)=\frac{CA}{H}[/tex]

Step-by-step explanation:

Si tenemos un triángulo recatángulo, el coseno del ángulo está dado por:

[tex]cos(\theta)=\frac{CA}{H}[/tex]

Donde:

Espero te haya sido de ayuda!

Answer:

14. (8,9,10)

15.no(A)

this is the answer

Answer:

XP = 11

Step-by-step explanation:

Given that XZ = 7x + 1 and PZ = 4x − 1

From the diagram, XZ = 2PZ

7x + 1 = 2(4x-1)

7x+1 = 8x - 2

7x - 8x = -2 -1

-x = -3

x = 3

Since XP = PZ

XP = 4x - 1

XP = 4(3) - 1

XP = 12-1

XP = 11

Answer:

b) 92

Step-by-step explanation:

1. if according to the condition the triangle is equilateral, then every inside angle (m∠F=m∠G=m∠H) is 60°.

2. it is possible to substitute the value 60 (F=60) into the given equation:

[tex]60=(\frac{Z}{2}+14);[/tex]

3. if to solve the equation above, then Z=92

Answer:

y = 2x -11

Step-by-step explanation:

The equation of  a line that passes through point x1, y1 is given as

y - y1 = m (x - x1)

where m is the slope of the line

Given that the line passes through the point (8,5) and has a slope of 2, the equation of the line

y - 5 = 2 (x - 8)

y - 5 = 2x - 16

add 5 to both sides

y = 2x - 16 + 5

y = 2x -11

Answer:

(3,-5)

Step-by-step explanation:

We first cal ulate the distance