find the volume of the rectangular prism?

Step-by-step explanation:

person above is . it's 5

Answer:

The answer you are looking for is 0.7.

Answer:

B. Petri dishes and sterile droppers

The lines intercept at the point (3, 9), and:

A system of linear equations can have one solution, no solutions, and infinite solutions, these are the only options.

If we have a system of equations, the solutions of the system are the points where the graphs of the equations intercept.

Here we know that the solution of the system of linaer equations is (3, 9), this means that the interception of the linear equations is at that point.

Can you have more than one solution to a Linear system of equations?

Yes, you can have:

no solution.

one solution

infinite solutions.

These are the 3 options.

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Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

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

To find the y-intercept of the line, substitute x = 0 into the given equation,

y = (3/2)(0) + 1

y = 1

Note that the y-intercept of the graph of the line is also 1.

The graph of the line passes through points (2,4).

To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:

4 = (3/2)(2) + 1

4 =4

The equation is true.

Hence, it can be said that the given equation represents the graph of the line.

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44.44% or 4/9

percentage

200/450=.444...

.444x100=44.44%

fraction

200/450 is simplified to 4/9

Answer:

~ probability of 4/9 ~

Step-by-step explanation:

1. Here we can see that 1 box ⇒ I car, so the cars are equal to the boxes (450 boxes, 450 cars)

2. As this is true, to determine the probability a cereal box has a blue car in it, out of the 450 cereal boxes there are 200 blue cars, in a fraction expressed as such: 200/450

3. This value can be simplified through simple algebra, to be: probability of 4/9, which was computed through division of 50 on 200 and 450

-12 will be the term for y

Let us suppose that x= 0

then we will get

3y + 4 = x

and then it will be

3y+ 4 = 0

Now, we will move 4 to the right hand side and it being positive this side will become negative on right hand side

3y= -4

now,

3y = 1/4

y = 1/[4*3]

y=1/12

y= - 12

Hence the answer will be y= -12

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Answer:

x - y = 9

x = 9 + y (equation 1)

Their sum is 46

x + y =46

(9 + y) + y = 46

9 + 2y = 46

2y = 46 - 9

2y = 37

y = 37/2

y = 18.5 ( one number)

second number =

place the value of y in equation 1

x = 9 + 18.5

x = 27.5

The two numbers are 18.5 and 27.5

Step-by-step explanation:

Answer:

We know that:

Sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

Then if we use this property in our expression:

sin(a-30)-sin(a+30)

We get:

sin(a)*cos(-30°) + sin(-30°)*cos(a) - sin(a)*cos(30°) - sin(30°)*cos(a)

Now remember that:

sin(-x) = -sin(x)

and

cos(-x) = cos(x)

Then we can rewrite our expression as:

sin(a)*cos(30°) - sin(30°)*cos(a) - sin(a)*cos(30°) - sin(30°)*cos(a)

= -2*sin(30°)*cos(a)

and sin(30°) = 0.5

Then:

-2*sin(30°)*cos(a) = -2*0.5*cos(a) = -cos(a)

So we get:

sin(a-30)-sin(a+30)= - cos(a)

Answer:

  1 7/8 quarts

Step-by-step explanation:

The amount Yuan has left can be found by multiplying the original amount by the fraction he has left.

__

After using 1/2 of the broth for soup, the fraction remaining is ...

  1 -1/2 = 1/2

The amount Yuan used for gravy is 1/4 of this, or ...

  (1/4)(1/2) = 1/8 . . . of the original amount of broth

The total fraction Yuan used was ...

  fraction used = fraction for soup + fraction for broth = 1/2 +1/8 = 5/8

Then the fraction remaining is ...

  fraction remaining = 1 - fraction used = 1 - 5/8 = 3/8.

The amount remaining is this fraction of the original amount:

  (3/8)(5 quarts) = 15/8 quarts = 1 7/8 quarts . . . . remaining

Answer:

w = 4√2

Step-by-step explanation:

2w^2 - 64 = 0

=> 2w^2 = 64

=> w^2 = 32

=> w = √ 32

=> w = √ [(2 x 2) x (2 x 2) x 2]

=> w = 2 x 2 x √ 2

=> w = 4√2

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Given the dataset:

The frequency is:

7: #### = 4

8: ### = 3

9: ### = 3

10: # = 1

11: ## = 2

The mode is the value that appears most frequently on a dataset. Based on this, the mode of the data is 7.

Answer:

Step-by-step explanation:

The correct equation that shows a step in the process of completing the square on the given quadratic y = x^2 + 8x – 3 is y = x^2 + 8x + 16 – 3 – 16. Completing the square involves adding and subtracting a constant term in order to create a perfect square trinomial. In this case, the constant term added is (8/2)^2 = 16, which is half the coefficient of the x-term squared. This step transforms the quadratic into the form (x + a)^2 + b, where a represents half of the x-term coefficient and b represents the constant term.

By adding 16 to the equation to create a perfect square trinomial, we need to subtract 16 afterward to maintain the equation’s balance. Thus, the equation becomes:

y = x^2 + 8x + 16 - 3 - 16

Simplifying further:

y = (x + 4)^2 - 19

Therefore, the correct equation is:

y = (x + 4)^2 - 19

Answer:

x = 1

y = 4

Step-by-step explanation:

9x + 5y = 29 eqn 1

3x + y = 7 eqn 2

Using the method of substitution,

"substituting y"

multiplying through eqn 2 by -5

-15x - 5y = -35 eqn 2

9x + 5y =29 eqn 1

adding eqn 1 and eqn 2

-6x = -6

x = 1

3x + y = 7

3 (1) + y = 7

3 + y = 7

y = 7 - 3

y = 4

Answer:

y = 4x + 1

Step-by-step explanation:

y = mx + b

b = y-intercept

From the graph we see that b = 1

m = slope

Start at (0, 1). Go up 8 units. Rise = 8. Go right 2 units. Run = 2.

slope = rise/run = 8/2 = 4

y = 4x + 1

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Answer:

5 ft

Step-by-step explanation:

The formula for Volume is V=lwh, or Volume = length x width x height.

The equation would be:

\(180=l(4)(9)\)

or

\(180=36l\)

To find the answer, divide by 36.

\(\frac{180}{36} =\frac{36l}{36}\)

\(5=l\)

Answer:

It should be 75 cm if we're taking the same test.

Step-by-step explanation:

y=0.3x-2

20.5=0.3(75)-2

0.3*75=22.5

22.5-2=20.5

20.5=20.5

Using the line of best-fit, it is found that the approximate length of the reptile is of 75 centimetres.

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

The mass y, in grams, of a reptile with length of x centimetres is given by:

\(y = 0.3x - 2\)

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

\(y = 0.3x - 2\)

\(20.5 = 0.3x - 2\)

\(0.3x = 22.5\)

\(x = \frac{22.5}{0.3}\)

\(x = 75\)

The approximate length of the reptile is of 75 centimetres.

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Answer:

C. m<c = 140°

Step-by-step explanation:

Let's analyse each of the given options:

A. m<a = 140° is TRUE

Rationale: angle a and 140° are vertical angles. Vertical angles are congruent.

B. m<b = 140° is TRUE.

Rationale: angle a and 140° are alternate interior angles. Alternate interior angles are congruent.

C. m<c = 140° is NOT TRUE.

Rationale: angle c and 140° are same side interior angles. Same side interior angles are supplementary.

D. m<d = 140° is TRUE.

Rationale: angle d and 140° are corresponding angles. Corresponding angles are congruent.

No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.

In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.

A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.

If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.

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Answer:

16801.2cm²

Step-by-step explanation:

Cone :

SA = πrl

SA = π · 28 ·  45                     90-45 = 45

SA = 3958.406744

Cylinder :

SA = 2 · π · r · ( r+h)

SA = 2 · π · 28 ( 28 +45 )

SA = 2 · π · 28 (73)

SA = 12842.83077

12842.83077 + 3958.406744 =

16801.2cm²

Answer:

11 mm, 21 mm, and 16 mm.

Step-by-step explanation:

since 11+21>16, 11+ 16>21>11, You can form a triangle with 11,21,16

The probability that fewer than three of the selected consumers believe that cash will be obsolete in the next 20 years is 0.538.

The following can be deduced:

p = 40.3% = 0.403

1 - p = 1 - 0.403 = 0.597

n = 6

Therefore X follows the Binomial (6 , 0.403)

The PMF of the Binomial distribution is

P(X = x) = (n C x) * px * (1 - p)n - x ; x = 0 ,1 , 2 , ....., n

Now ,

P(fewer than 3)

= P(X < 3)

= P(X = 0) + P(X = 1) + P(X = 2)

= 0.0453+0.1834+0.3095

= 0.538

The probability is 0.538

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Answer:

−1\°

Step by step explation:

Let

x -----> the wind speed in mi/h

y ----> the wind chill in °F

we have

y=-0.36x+12.6y=−0.36x+12.6

so

For x=38 mi/h

substitute in the linear equation and solve for y

y=-0.36(38)+12.6=-1.08\°y=−0.36(38)+12.6=−1.08\°

Round to the nearest degree

-1.08=-1\°−1.08=−1\°

Answer:

x = 0.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

7x + 0.1 + 10x - 0.2 = 5

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 5 does indeed equal 5.

∴ x = 0.3 is the solution to the equation.

Answer:

D

Step-by-step explanation:

A reciprocal, or multiplicative inverse, is simply one of a pair of numbers that, when multiplied together, equal 1. ... For example, the reciprocal of 2/3 is 3/2 (or 1-1/2) , because 2/3 x 3/2 = 1. The reciprocal of 7 is 1/7 because 7 x 1/7 = 1

There u goo :D

Answer:

C

Step-by-step explanation:

Exponents are a pair

Answer:

1920 cm³

Step-by-step explanation:

V = w · h · l

V = 8 · 14 · 10

V = 1120 cm³

Now for the smaller one.

V = w · h · l

V = 8 · 10 · 10

V = 800 cm³

1120 cm³ + 800 cm³

1920 cm³

Answer:

1920 cm ^3

Step-by-step explanation:

find the volume of the 2 cuboids seperatly.

bigger one: LXWXH --> 8 X 14 X 10 = 1120

smaller one: LXWXH --> 10X10X8 = 800

add them up

1120 + 800 = 1920 cm

Hope this helps :D

Given:

16x can be factored as 8( ? )x

We will find the coefficient indicated as "?"

As we know: 16 = 8 * 2

So, the answer will be, the coefficient = 2