An 8-sided solid is labeled with faces 1, 2, 3, skip ,4, 5, 6, skip. what is the sample space for the number solid, and what is the probability of rolling a 1?

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

the numerators represent the pounds of beef and the denominadors represent the number of potatoes.

Answer:

The second one and the forth one are the two right answers.

Step-by-step explanation:

Answer:

i dont know if its right since i havent done trig in ages but

\(3 \sqrt{3} \)

Step-by-step explanation:

tan(30)x9?

put the opposite angle inside the () since were doing toa which is tan(sin)=opposite/adj

so if we rearrange the formula to make opposite the subjects its

opposite=tan x adj

this is probably wrong so u might want to check with someone else

We can factor using the rational root theorem by a rational number, both the leading coefficient and the constant term must be divisible by the fraction's denominator.

The rational root theorem, also known as the rational root test, is an algebraic principle that states that for a polynomial equation with one variable and integer coefficients to have a solution (root) that is a rational number, both the leading coefficient and the constant term must be divisible by the fraction's denominator.

A particularly helpful theorem is the theorem of rational roots.

It explains how to get a list of potential solutions for a polynomial function with integer or whole number coefficients by ranking the factors of the constant, or last term, over the factors of the coefficient of the leading term.

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Yes, this equation is a quadratic equation.

What is a quadratic equation?

Quadratic equation are the polynomial equations of degree 2 in one variable of type f(x) = ax² + bx  + c = 0 where a, b, c ∈ R and a ≠ 0.

The given equation 3x² + 5x + 9x² + 7x + 3 = 0 can be written as 12x² + 12x +3 = 0, which is a general form of quadratic equation where a = 12, b = 12 and c =3.

Hence, the equation is a quadratic equation.

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Answer: 12

Step-by-step explanation:

Conversions Between US and Metric Systems are used to convert measurements between different units of measure. These conversions are necessary when we need to convert units of measure to find the total or compare measurements of different units.

Therefore, we have to convert the given measurements between US and Metric measurement units. Following are the conversions:1 ft = 0.305m1 m = 3.281 ft1

in = 2.54 cm1 cm

= 0.394 in1

Ib = 0.454 kg1 kg

= 2.205Ib1L

= 0.264gal1

gal = 3.785L1

g = 0.0353 oz1

oz = 28.350g Conversion of 9 feet to meters To convert 9 feet to meters, we will use the conversion factor

1ft = 0.305m.9 feet × 1 ft/0.305m

= 29.53 meters (approx). Therefore, 9 feet is approximately equal to 29.53 meters. Conversion of 22 cm to inches To convert 22 cm to inches, we will use the conversion factor 1

in = 2.54 cm.22 cm × 1 in/2.54 cm

= 8.66 inches (approx).

Therefore, 22 cm is approximately equal to 8.66 inches. Conversion of 57 kilograms to pounds To convert 57 kilograms to pounds, we will use the conversion factor 1

Ib = 0.454 kg.57 kg × 2.205 Ib/1 kg

= 125.66 pounds (approx). Therefore, 57 kilograms is approximately equal to 125.66 pounds. Conversion of 7 gallons to liters To convert 7 gallons to liters, we will use the conversion factor 1L = 0.264gal. 7 gallons × 3.785 L/1 gal = 26.5 liters (approx). Therefore, 7 gallons is approximately equal to 26.5 liters. Conversion of 6 ounces to grams To convert 6 ounces to grams, we will use the conversion factor 1

g = 0.0353 oz.6 oz × 28.350 g/1

oz = 170.1 grams (approx). Therefore, 6 ounces is approximately equal to 170.1 grams.

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The value of x is equal to 4.8 units.

In Mathematics and Geometry, the volume of a triangular prism can be determined or calculated by using the following formula:

Volume = base area × height of the prism.

Assuming the variable x represent the length of one side of its base. Since the height of this triangular prism measures 11 units and its volume measures 130.9 cubic units, the value of x can be determined as follows;

Base area of triangle = 1/2 × x × 5

Base area of triangle = 5x/2 square units.

Volume of triangular prism = base area × height of the prism.

130.9 = 5x/2 × 11

130.9/11 = 5x/2

11.9 = 5x/2

5x = 23.8

x = 4.8 units.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

When two angles in a plane share a vertex and a side but no common interior points, they are called adjacent angles

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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Answer

1N^2+5 = 6

1^2 is still 1 + 5 = 6

I think I am not 100% sure

Answer:

Step-by-step explanation:

28/10 as a proper fraction.

28/10 is an improper fraction so you have to turn it into a proper fraction.

To do this divide the numerator (top figure) by 10 (the denominator) which equals 2.8 so to put it as a proper fraction you look at the whole number in 2.8 which is the 2 and keep the number after the decimal point as a fraction over the 10.

The answer would be 2 8/10

Answer:

a. 6 m/s

Step-by-step explanation:

Distance = 36 meters

Time = 6 seconds

Speed = Distance ÷ Time

Speed = 36 m ÷ 6 secs

Speed = 6 m/s

Answer:

here you go. :)

Step-by-step explanation:

Look at the image attached

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

30

Given the expression for the instantaneous voltage expressed as:

Given the following parameter:

θ = 30⁰

Substitute the given parameter into the formula to have:

Therefore the instantaneous voltage when θ = 30⁰ is 30.

The basic concept of solving a system of equations using substitution is:

- solve for one of the variables in one of the equations

- substitute this into the other equation and solve for the remaining variable

- substitute the variable you found into either equations to find the other variable.

The system of equations is:

We can see that in the second equation "y" is almost solved, we just need to pass the "2" to the other side, so let's use this equations a solve for "y":

Now, we can substitute "y" into the other equations, that is, the first one:

Now, the equations has only "x", so we can solve for it:

And now that we know that x = 4, we can substitute this into any of the two equations. Let's do it in the second:

So, the solution of the given system of equations is x = 4 and y = -5.

The difference in the dollar value of Assistantship (Stipend) between art and science fields with  standard errors is equal to 1.214.

Mean      24041.62203                 25952.36501

Sample mean difference between Assistantship (stipend) in arts and science is equal to

=  $25952.36501 - $24041.62203

= $1910.74298.

Hypothesized mean difference is 0 (there is no difference in stipend between the two fields).

Variance        621483.0801            615193.5853

Sample size    521                             479

Standard error of the difference is,

=√[(variance in arts / sample size in arts) + (variance in science / sample size in science)]

= √[(615193.5853 / 479) + (621483.0801 / 521)]

= $49.77

t-statistic

= (sample mean difference - hypothesized mean difference) / standard error of the difference

Substitute the values into the t-statistic formula,

⇒ t-statistic = ($1910.74298 - 0) / $49.77

⇒ t-statistic = 38.39

t-critical value for a two-tailed test with 992 degrees of freedom at a significance level of 0.05 is 1.9624.

t-statistic (38.39) > t-critical value (1.9624)

⇒Reject the null hypothesis that there is no difference in stipend between the two fields.

standard errors

= t-statistic / √(sample size)

= 38.39 / √(479 + 521)

= 38.39 /31.62

=1.214

Therefore,  the difference in the dollar value of Assistantship (Stipend) between these two fields is 1.214 standard errors away from the hypothesized difference.

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Answer:

y = -3x - 9

Step-by-step explanation:

y=mx+b

^ That is the slope intercept form

M - Slope

Y - Y value

X - X value

B - Y intercept

We know that the slope is -3 and the y intercept is -9, so the equation should be:

y = -3x - 9 (The fourth answer)

The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

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Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

Answer: The lengths of AC and BC remain equal to each other no matter where point C lies on the perpendicular bisector

Step-by-step explanation:

PLATO answer

Answer:

The lengths of AC  and BC remain equal to each other no matter where point C lies on the perpendicular bisector.

Step-by-step explanation:

Exact answer from edmentum

Answer:

Amount of sales tax ≈ $2.44 dollars;

Price with sales tax ≈ $33 dollars;

Step-by-step explanation:

1. Calculate the 'Amount of sales tax':

Formula:

Amount of sales tax =

Sales tax rate × Price without sales tax

Calculation:

Amount of sales tax =

8% × 30.56 =

8/100 × 30.56 =

8 ÷ 100 × 30.56 =

0.08 × 30.56 =

2.4448 ≈

2.44

(Rounded to a maximum of 2 decimals)

2. Calculate the 'Price with sales tax':

Formula:

Price with sales tax =

Price without sales tax + Amount of sales tax

Calculation:

Price with sales tax =

30.56 + 2.4448 =

33.0048 ≈

33

(Rounded to a maximum of 2 decimals)

Answer:

6

Step-by-step explanation:

The number of signals will be the factorial of 3 which is 6

That is

3×2×1=6

This question is similar to asking the combination of clothes you'll put on when you have 3 shirts and 6 pants and 1 hat, the answer is 18.

The study of hypnosis and its relationship to hysteria was the starting point for the development of psychoanalysis by Sigmund Freud.

The study of hypnosis and hysteria in the late 19th century by Sigmund Freud and his contemporaries led to the development of psychoanalysis, a form of psychotherapy that emphasizes the role of unconscious thoughts and feelings in shaping behavior. Through his work with patients suffering from hysteria, Freud became interested in the idea that psychological conflicts could be traced back to early childhood experiences, and that these conflicts could be resolved through the exploration of unconscious thoughts and feelings. This eventually led to the development of psychoanalysis as a theory and practice for the treatment of psychological disorders.

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The mass of the decoration is 200 kg and for each passenger car is 550 kg

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

These can be represented as

(6, 3500) and (4, 2400)

The slope of the above points represent the mass of each passenger car

This is calculated as

Slope = Difference in mass/Difference in number of cars

So, we have

Slope = (3500 - 2400)/(6 - 4)

Evaluate

Slope = 550

When there are no passenger cars in the train, we have

(0, Mass of decoration)

Using the slope formula, we have

Slope = (Mass of decoration - 3500)/(0 - 6)

So, we have

Slope = (Mass of decoration - 3500)/(-6)

This gives

(Mass of decoration - 3500)/(-6) = 550

Cross multiply

Mass of decoration - 3500 = -3300

Add 3500 to both sides

Mass of decoration = 200

Hence, the mass of decoration is 200 kg

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With shapes like these, you need to split it into parts you can find the area for and add it together at the end.

Let's take the rectangle out of the two other triangles first,

15x8=120. First area solved.

Now remember, you find areas of triangles by bxh/2. Let's do the one on the side first. 9x8=72. 72/2=36. Second area solved.

The final triangle has a height of 7 m, and it's parallel to the 15 m length from before. 7x15=105, 105/2=52.5. Last area found.

Now let's add them all together. (120+36+52.5)=208.5.

Hope this helped!

well, the tax is clearly $35.20 - $32 = $3.20.

now, if we take 32(origin amount) to be the 100%, what is 3.20 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 32 & 100\\ 3.20& x \end{array} \implies \cfrac{32}{3.20}~~=~~\cfrac{100}{x} \\\\\\ 32x=320\implies x=\cfrac{320}{32}\implies x=10\)

The total interest income reported over the life of the bond investment would be $7,500.

To calculate the total interest income, we need to determine the annual interest payment and multiply it by the number of years until maturity. In this case, the bond has a par value of $50,000 and pays interest at a 3% annual rate. The annual interest payment can be calculated by multiplying the par value by the interest rate, which gives us $50,000 * 0.03 = $1,500.

Since the bond has a maturity period of 5 years, we can multiply the annual interest payment by the number of years to obtain the total interest income. Therefore, the total interest income is $1,500 * 5 = $7,500.

Adelphi Company purchased the bonds at 101, which means they bought them at a premium. The straight-line amortization method assumes that the premium or discount is amortized evenly over the life of the bond. However, since the premium was not mentioned explicitly in the question, we can assume that it does not affect the calculation of the total interest income.

In conclusion, over the life of the bond investment, Adelphi Company will report a total interest income of $7,500.

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Answer:

156=2s+3b    s-8=b

Step-by-step explanation:

s=sundaes

b=banana splits

Answer:

A= 5278.34 in ²

Step-by-step explanation:

A= r² × 3.14 (pi)

Radius = Diameter ÷ 2

82 ÷ 2 = 41

41²= 1681

1681 x 3.14 = 5278.34

hope this helps