In how many ways can you fit 1 X 1 X 2 sized dominoes into a domino of dimensions 2 X 2 X N, where N is a variable

Answer:B

Step-by-step explanation: In order to figure out which equation this is you will need to first read that the question says Arturo buys 3 containers of ice cream and each one is $5 so that's how you get (3 x $5) and he also buys the $8 Cake so you have to add that in too which gets you to (3 x $5) + $8.

Answer:

-2.5

Step-by-step explanation:

-36= -12y+(-48)+(-12y)+(-48)

-36= (-24y)+(-96)

+96             +96

60= -24y

divide 60 by -24y and you get -2.5

The distance travelled per second (i.e speed) of the light is 3×10⁸ m/s

Distance travelled per second is known as speed. It can be expressed as:

Speed = distance / time

With the above formula, we can obtain the distance traveled per second of the light, Details below

From the question given, the following were obtained:

Speed = distance / time

Distance per second = 9.45×10¹⁵ / 3.15×10⁷

Distance per second = 3×10⁸ m/s

From the calculation made above, we can conclude that the distance per second is 3×10⁸ m/s

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Answer:

21 projects each

Step-by-step explanation:

3150 ÷150

The value of x=32 that means after 32 weeks the number of subscribers become 64.

The term subscriber indicates how many viewers have followed to a particular channel.

In general, number of subscribers become higher day by day depending on the popularity of a channel.

given, number of subscribers become double each week

let after x week the number of subscribers will be 64

the function f(x) =2x =64

      x = 64/2 =32

hence, after 32 weeks the subscribers will be 64

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Using proportions, it is found that the best estimate for the squirrel population is of 8000.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 43 squirrels out of 430 had tags. Considering that in the entire population, 800 are tagged, and we want to find the total population, the rule of three is given by:

43 tagged - 430 squirrels

800 tagged - x squirrels

Applying cross multiplication:

\(43x = 430 \times 800\)

\(x = \frac{430 \times 800}{43}\)

\(x = 8000\)

The best estimate for the squirrel population is of 8000.

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Answer:

For example, with a $4,000 deposit and an annual interest rate of 8 percent, the simple interest after four years would be $1,280. This is calculated by multiplying the principal (P) by the rate (R) and by the rate of time (T): 4,000 x 0.08 x 4 = 1,280.

Step-by-step explanation:

I hope the answer help you

Answer:

1.1 gigabytes

Step-by-step explanation:

Let us represent:

The number of gigabytes = g

Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 per month.

The Equation is given as:

$71.90 = $67.50 + $4 × g

71.90 = 67.50 + 4g

71.90 - 67.50 = 4g

4.4 = 4g

x = 4.4/4

x = 1.1 gigabytes

Therefore, the number of gigabytes of data Owen can use while staying within his budget is 1.1 gigabytes

Answer: 3.6

Step-by-step explanation:

4x+64.5=78.9

-64.5 -64.5

4x/4=14.4/4

X=3.6

Answer:

15.68 miles

Step-by-step explanation:

7.18 miles + 8.5 miles = 15.68 miles

First, let's convert all of our denominators to 12 so we can make comparing the fractions easier.

1/3 * 4 = 4/12. 2/3 * 4 = 8/12.

Now that both of our fractions have a denominator of 12, we can compare the fractions!

4/12 (1/3) < 7/12.

8/12 (2/3) > 7/12

Now we have our answer

Answer:

55/15-9/15=46/15 or 3 1/15

Step-by-step explanation:

Answer:

46/15  or  3 1/5

Step-by-step explanation:

The value v of an investment is given by the function, the equation indicating that the investment had a value of 8000 in 2000 is v(t) = 8000, where t represents the number of years since 1990.

The given information states that the investment had a value of 8000 in 2000. Since t represents the number of years since 1990, we can assume that in the year 2000, t is equal to 10 (2000 - 1990 = 10).

To represent this information in equation form, we can use the function v(t), where v is the value of the investment and t is the number of years since 1990. Since the investment value in 2000 is 8000, we can write the equation as v(t) = 8000.

This equation indicates that the value of the investment, represented by v(t), is equal to 8000 when t is equal to 10, which corresponds to the year 2000.

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The limit doesn't exist.

The value that a function (or sequence) approaches when the input (or index) gets closer to a particular value is known as a limit. Calculus and mathematical analysis are impossible without limits, which are also required to determine continuity, derivatives, and integrals.

In addition to being closely related to limit and direct limit in category theory, the idea of a limit of a sequence is further generalized to include the concept of a limit of a topological net.

A function's limit is typically expressed in formulas as

\(\lim_{x \to c } F(x) = L\)

It is typically used to assign values to specific functions at locations where none are defined while maintaining consistency with existing values.

\(F(x) = -x+8 ,x\leq 0\)

\(F(x) = 4x+9 , if x > 0\)

\(\lim_{x \to 0^{+} } F(x) = \lim_{n \to 0^{+} } (4x+9) = 9\)

\(\lim_{x \to 0^{-} } F(x) = \lim_{x \to 0^{-} } (-x+8) =8\)

\(\lim_{x \to 0^{+} } F(x) \neq \lim_{x \to 0^{-} } F(x)\)

So limit doesn't exist

For limit to exist

\(\lim_{x \to 0^{+} } F(x) = \lim_{x \to 0^{-} } F(x) = \lim_{x \to 0} f(x)\)

must be satisfied

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two equations would be most appropriately solved by using the zero product property are A. (x-3)(x+4)=0 and C. 2x(x+3)=0

A basic tenet of mathematics and algebra is the zero product property, which asserts that if the sum of two or more elements is zero, then at least one of the factors must also be zero.

PartA)

(x-3)(x+4)=0

This equation follows  zero product property

PartB)

x2+3=16

x2=13

x=root13

This equation does not follow  zero product property

PartC)

2x2+6x=0

2x(x+3)=0

This equation follows  zero product property

PartD)

2x2+6,x=0

This equation does not follow  zero product property

PartE)

-0.5x2-0.34x+9=0

This equation does not follow  zero product property.

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\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of maths,

here, A.) is correct because.

2/3(27) - 6 ==> 18 - 6 = 12

hence, LHS = RHS,

so option A is correct

\(\text{Solve for a:}\\\\p+q=2ab\\\\\text{Since we want to solve for a, it needs to be by itself}\\\\\text{To do this, we have to divide both sides by 2b}\\\\\frac{p+q}{2b}=a\\\\\text{Now since A it's by itself, that'll be your answer}\\\\\boxed{\frac{p+q}{2b}=a}\)

Answer:

\(\displaystyle \frac{3\sqrt{230}}{5}\)

Step-by-step explanation:

Use the Pythagorean Theorem:

\(\displaystyle a^2 + b^2 = c^2 \\ \\ 9,7^2 + b^2 = 13,3^2; \sqrt{82,8} = \sqrt{b^2} \\ \\ \frac{3\sqrt{230}}{5}\:[or\:9,0994505329...] = b\)

So, you have this:

\(\displaystyle 9,1 ≈ b\)

I am joyous to assist you at any time.

Answer:

To solve sin(pi/16), we can use the half-angle formula for sine, which states that:

sin(x/2) = ±√[(1 - cos(x))/2]

Let's use this formula with x = pi/8:

sin(pi/16) = sin(pi/8)/2 = ±√[(1 - cos(pi/8))/2]

To determine the sign, we need to know in which quadrant pi/16 lies. Since pi/2 < pi/16 < pi, pi/16 lies in the second quadrant where sine is positive. Hence,

sin(pi/16) = √[(1 - cos(pi/8))/2]

Now, we need to find cos(pi/8). We can use the half-angle formula for cosine, which states that:

cos(x/2) = ±√[(1 + cos(x))/2]

Again, let's use this formula with x = pi/4:

cos(pi/8) = cos(pi/4)/2 = ±√[(1 + cos(pi/4))/2]

To determine the sign, we need to know in which quadrant pi/8 lies. Since pi/2 > pi/8 > 0, pi/8 lies in the first quadrant where cosine is positive. Hence,

cos(pi/8) = √[(1 + cos(pi/4))/2] = √[(1 + √2/2)/2]

Finally, we can substitute this expression for cos(pi/8) into the expression we found for sin(pi/16):

sin(pi/16) = √[(1 - √[(1 + √2/2)/2])/2] ≈ 0.1951

Therefore, sin(pi/16) is approximately equal to 0.1951.

Answer:

i don't know why the question want in fraction though

Step-by-step explanation:

\(c + 38 = 113 \\ c = 113 - 38 \\ c = 75\)

Answer:

Step-by-step explanation:

C. Factor

A factor is a number that divides another number, leaving no remainder. Meaning that if you multiply two whole numbers that gives us a product,  then the numbers we are multiplying are factors of the product because they are divisible by the product.

(Hope this makes sense, if not I'm sorry)

The NS will run up to 17 hours. if the physician ordered 2500 mL of NS to infuse in 150 mL/hour with a drop factor of 15 gtt/mL. Thus option d is correct.

The given data is as follows:

Physician ordered  NS = 2500 mL

Infuse rate = 150mL/hour

Drop factor = 15 gtt/mL

How long will this IV run?

The infusion rate is defined as the constant flow of the liquid over a prolonged time. To calculate the infusion rate, take the absolute volume in mL, divided by the whole time in hours that the flow is to be infused throughout, to similar the rate in mL per hour.

The infusion rate is given as 150mL/hour. So It is clearly shown that 150mL of liquid is flown per hour.

So, the time required to complete the full flow,

time required = Total fluid / Infuse rate

time required =  2500mL/ 150

time required = 17 hours.

Therefore we can conclude that the NS will run up to 17 hours.

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The last step of the proof would be to apply the Reflexive Property of Congruence, stating that US and UT are congruent.

To determine the last step of the proof, we need to carefully examine the given statements and reasons provided.

Given:

- Triangle STU

- Line UV divides triangle STU into two equal triangles

- UV is perpendicular to ST

- Triangle UVS and Triangle UVT are right triangles

Based on the given information, we can deduce the following:

1. Line UV is perpendicular to ST: This means that UV forms a 90-degree angle with ST. This is stated in the given information.

2. Triangle UVS and Triangle UVT are right triangles: This means that both Triangle UVS and Triangle UVT have one angle measuring 90 degrees. This is also stated in the given information.

3. Reflexive Property of Congruence: This property states that any geometric figure is congruent to itself. In this case, it implies that the two sides US and UT are congruent since they belong to the same triangle.

Therefore, the last step of the proof would be to apply the Reflexive Property of Congruence, stating that US and UT are congruent. This step completes the proof by establishing that the two sides of the triangle, US and UT, are congruent.

In summary, the last step of the proof is: "US and UT are congruent - Reflexive Property of Congruence." This step follows logically from the given information and previous steps in the proof.

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\(a =\dfrac{180\cdot(n-2)}{n}\\~\\a = \dfrac{180\cdot(55-2)}{55}\\~\\a = 173^{\circ} \text{ }27'\text{ }16''\)

Answer: no sorry it looks fine to me

The value οf x is 3

A variety οf issues are resοlved by algebraic calculatiοns that treat variables like explicit integers in a single cοmputatiοn. The quadratic fοrmula, fοr instance, can be used tο sοlve any quadratic equatiοn by exchanging the variables in the quadratic fοrmula fοr the numerical values οf the cοefficients in the equatiοn.

A variable in mathematical lοgic is either a symbοl fοr an undefined term οf the theοry (a meta-variable), οr it is a fundamental οbject οf the theοry that is changed withοut cοnsidering any pοtential intuitive meaning.

Given

8x+17 = 41

Sοlving fοr variable 'x'

Add '-17' tο each side.

17 + -17 + 8x = 41 + -17

Or, 8x=24

Divide each side by '8'

Or, x=3

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Answer:

0.808 you find the difference between the two numbers

Answer:

Step-by-step explanation:

The right answer would be C, 2*3*3

Hope this helps!