Simplify the expression by combining like terms: -3+7c+c+7+10

The value of both the interior angles of the triangle is calculated as 70° and 35°.

If a triangle side is formed, the exterior angle made is equal to the sum of a 2 interior opposite angles.

Now, as per the given question;

The exterior angle of a triangle is 105°.

Let one of the interior angle is 'x'.

Then, the other interior angle is 35 degree less; x - 35°.

By the exterior angle property.

Sum of interior angles = exterior angle

x + x - 35° = 105°

2x = 105° + 35°

2x = 140°

x = 70°

The other interior angle is; x - 35°

= 70° - 35°

= 35°

Therefore, the two interior angles of the triangles are estimated as 70° and 35°.

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Answer:

20

Step-by-step explanation:

2 get well cards

4 anniversary cards

6 greeting cards

8 birthday cards

Answer:

2.61799???

try calculating the equations and see which one gets you to 2.61799!!

Step-by-step explanation:

he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

Let’s assume the general solution of the given differential equation is,

y=e^{mx}

By taking the derivative of this equation, we get

\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)

Now substitute these values in the given differential equation.

\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)

Therefore, \(m^4-2m^2-8=0\)

\((m^2-4)(m^2+2)=0\)

Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)

By applying the formula for the general solution of a differential equation, we get

General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

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The required coefficient of y in  \((3xy + 2)^4\) is 96x.

The binomial expansion is a formula for expanding a binomial expression of the form \((a + b)^n\\\), where "a" and "b" are constants and "n" is a positive integer. The expansion gives the coefficients of each term in the expansion.

Here,
We can use the binomial theorem to expand the expression,

\((3xy + 2)^4 = C(4,0) (3xy)^4 (2)^0 + C(4,1) (3xy)^3 (2)^1 + C(4,2) (3xy)^2 (2)^2 + C(4,3) (3xy)^1 (2)^3 + C(4,4) (3xy)^0 (2)^4\)

where C(n,k) represents the number of combinations of k objects that can be chosen from a set of n objects.

The coefficient of y in the fourth term is given by the coefficient of (\(3xy)^1 (2)^3\). That is, we need to find the coefficient of y in the term:

\(C(4,3) (3xy)^1 (2)^3 = 4 * 3xy * 2^3 = 96xy\)

Therefore, the coefficient of y in  \((3xy + 2)^4\) is 96x.

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Statement:

Two angles are supplementary. One angle measures 2x, and the other angle measures 3x - 15.

To find out:

The equation to find the measure of each angle.

Solution:

Answer:

2x + 3x - 15 = 180°

Hope you could understand.

If you have any query, feel free to ask.

The samples of size n = 2 that can be drawn from this population is 28

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

In a 6-dimensional data cube with no hierarchies associated with any dimension, the total number of cuboids can be calculated as 63, using a formula based on the inclusion-exclusion principle.

For a 6-dimensional data cube, there are 2^6 - 1 = 63 non-empty subsets of dimensions. Each subset represents a cuboid. Therefore, there are 63 cuboids in a 6-dimensional data cube without any hierarchies associated with the dimensions.

This calculation is based on the concept that each subset of dimensions corresponds to a unique cuboid in the data cube. By summing up the cardinalities of all possible subsets, excluding the empty set, we arrive at the total count of 63 cuboids in the given scenario.

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Answer:

x = 1 / 3 × log₂ 15.

To solve for x, we'll need to use logarithmic rules to isolate x.

3x = log₂ 15, we can divide both sides by 3 to get:

x = log₂ 15 / 3.

A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.

To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).

In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.

Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).

Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.

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Answer:

B: 12>-4+2p

Step-by-step explanation:

A 12>4+2(7)

 12>4+14

 12>18

not true

B: 12>-4+2(7)

  12>-4+14

  12>10

 true

C -12>4-2(7)

-12>4-14

-12>-10

not true

D: -12>4+2(7)

-12>4+14

-12>18

not true

so b is the only correct answer

hopes this helps please mark brainliest

Answer:

B. Blindness

E. Replication

The principles of experimental design being followed are Blindness, Randomization, and Replication.

The principles of experimental design being followed in this scenario are Blindness, Randomization, and Replication.

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The correct match will be closest to zero = x-y , greatest value = x + y and least value = -x

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The vertical line is representing the data from 0 to 8 positive side and 0 to -8 negative side. We can see that the closest value to zero will be x-y

the least value will be -x and the greatest value is x + y.

Each interval is of unit 2 so the values x and y will be 4 and 2 respectively

closest to zero = x-y = 4-2 = 2

greatest value = x + y = 4+2 = 6

least value = -x = -4

Therefore the correct match will be closest to zero = x-y , greatest value = x + y and least value = -x

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Answer:

range is the biggest number minus the smallest number

Step-by-step explanation:

so 5160-220=4940

The value of the sample statistic is used to estimate the value of the population parameter.

The sample statistic is the value that is calculated from the sample data, which is used to make inferences about the population parameter. Sample statistics are used to estimate population parameters. A sample statistic is an estimate of a population parameter that is obtained from a sample, whereas a population statistic is a value that is computed from a population.

Therefore, the correct answer is a. sample statistic.

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A grain of rice contains about 0.029 milliliters of volume.

A grain of rice is a tiny, ingestible seed that comes from either Oryza sativa (Asian rice) or Oryza glaberrima, two types of grass (African rice). A single grain of rice is round or oval in shape and measures about 3–4 millimeters in length. A grain of rice has a volume of 0.029 milliliters and a mass of approximately 0.05 grams. The type of rice and the method of processing affect the size and form of a single grain of rice. Over half of the world's population relies heavily on rice as a source of nutrition and as a staple food in many different cultures. Sushi, risotto, rice pudding, and many more recipes all use rice as an ingredient.

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Answer:

Step-by-step explanation:

lol true

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factorize 12 and 24

12 = 2 * 2 * 3

24 = 2 * 2 * 2 * 3

GCF = 2 * 2 * 3 = 12

12 + 24x = 12*1 + 12 * 2 *x

             = 12*(1 + 2x)

Answer:

Step-by-step explanation:

You want to know the dimensions of a rectangular building that has a perimeter of 2516 feet and is 194 feet longer than wide.

Let w represent the width of the building. Then w+194 is the length, and the perimeter is ...

  P = 2(L +W)

  2516 = 2((w+194) +w)

  2516 = 4w +388 . . . . simplify

  2128 = 4w . . . . . . . subtract 388

  532 = w . . . . . . . divide by 4

  w+194 = 726 . . . . . length

The building is 532 feet wide and 726 feet long.

Answer:

400

Step-by-step explanation:

Tge 6 in the tens place is greater than 5, so you round the 3 up to 4.

If the number that determines where you round is 5 or more, round up.

So 366 rounded to the hundreds place is 400.

The answer is 400.

Happy to help!!! :)

Answer:

4xy

Step-by-step explanation:

(x+y) (x+y) - (x-y) (x-y)​

(x² + xy + xy + y²) - (x² - xy - xy + y²)

(x² + 2xy + y²) - (x² - 2xy + y²)

x² + 2xy + y² - x² + 2xy - y²

x² - x² + 2xy + 2xy + y² - y²

4xy

Answer:

that could literally be anything, as long as the first sum is greater then the second.

example;

(2+4) (3+5) - (6+1) (5+2)

(or, 6+8 = 14, 7+7 = 14, 14 - 14 = 0)

hope this helped :)

Answer:A linear equation in slope intercept form can be written y = mx + b. It ... To convert from slope intercept form y = mx + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the ... (2) - The slope of a line is -3/7 and the y- intercept is 10. ... All you have to do is isolate y on one side of the equal sign.

Step-by-step explanation:

4 radians is equal to 299 degree after rounding it to the nearest degree.

Here we have to convert 4 radians into degree.

To convert radians to degrees,

We can use the formula:

degrees = radians x 180 /π

Where π is approximately 3.14.

So, if we substitute 4 radians into the formula, we get:

degrees = 4 x 180 / 3.14

degrees = 229.29

To round this to the nearest degree,

We look at the decimal part:

0.29 is less than 0.50, so we round down.

Therefore, the answer is 229 degrees.

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Answer:

-1

Step-by-step explanation:

Answer: 21/-21=-1

Step-by-step explanation:cut 21 two time,and add the minus and the answer -1

Answer:

X is equal to 7

Step-by-step explanation:

Open parenthesis.

3/4x +63/4=21/2

take common denominator

3/4x=42/4-63/4

Solve

3/4x=-21/4

3x=21

x=7

Using the formula;

H= ut + 1/2 gt²

The initial velocity = 0

Hence H= 1/2 gt²

g= 10m/s t= 5.78 s

H = 1/2 x 10 x 5.78²

H = 167.042 m

H = 167 m approximately

The percentage by which the arc length has increased is 50 %.

The original arc length, S

Let the original radius, R

Let the original arc measure (angle), T

So,

S =  RT

And  when the arc measure  increases by 20%  and the  radius increases by 25%  we have

(1.20)R * ( 1.25) T  =1.5  RT

So, The percentage by which the arc length has increased is 50 %.

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Answer:

67 square units

Step-by-step explanation:

Circumference/pi = diameter

29/3.14 = 9.24

Radius = 9.24/2 = 4.62

A = pi * r^2

A = 3.14 * 4.62^2 = 67 square units