Instructions: Find the measure of the indicated angle to the nearest degree.

Answer:

2/5 thats the answer i think

Answer:

2/5

Step-by-step explanation:

\(\frac{7}{8}\)×\(\frac{16}{35}\)

7×16=112

8×35=280

Simplify:

\(\frac{112}{280}\) 112÷4=28 280÷4=70

\(\frac{28}{70}\) Continue simplifying → 28÷2=14 70÷2=35 14/35 continue simplifying 14÷7=2 35÷7=5 2/5 You cannot continue simplifying.  

So, \(\frac{2}{5}\) is the answer.

The value of angle x in the given figure is 79°.

The highest and lοwest walls οf a skew are used tο split the curved lines that make up its ends using Cartesian measurements. A cοllisiοn between twο pοles at an intersectiοn is a pοtential. Angle is anοther οutcοme οf twο things interacting. They resemble dihedral fοrms the mοst clοsely. A twο-dimensiοnal curve can be created by placing twο line beams in variοus cοnfiguratiοns between their ends.

In ΔBFG, ∠FBG = 46°

So according to angle sum property

46° + ∠BFG + BGF = 180°

Here ΔBFG is an isosceles triangle

46° + 2∠BFG = 180°

2∠BFG = 180° - 46°

2∠BFG  = 134

∠BFG = 134/2

∠BFG = 67° = ∠BGF

Using Vertically opposite angle

∠AFJ =  67°

With that in mind ∠BFA = ∠JFG

2∠JFG + 2∠AFJ = 360°

2∠JFG  = 360° - 2∠AFJ

2∠JFG  = 360° - 2(67)

2∠JFG  = 360° - 134

2∠JFG  = 226

∠JFG  = 226/2

∠JFG = 113°

In ΔFDC, ∠JFG  + ∠JDI + ∠HCG = 180°

113° + 33° + ∠HCG = 180°

∠HCG = 180° - (113° + 33°)

∠HCG = 34°

Also, ∠HGC = ∠BGF = 67°

Now, In ΔCGH, ∠HGC + ∠HCG + x = 180°

67° + 34° + x = 180°

x = 180° - (67° + 34°)

x = 79°

Thus, the value of angle x in the given figure is 79°.

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Answer:

Step-by-step explanation:

the 3rd one

The differential equation is equivalent to

                           \(\frac{dy}{dx} -\frac{3x(1-y)}{x^{2} +1}\)

If y denotes the fraction of the population who have heard the rumor, then 1 −y represents the fraction of the population who haven’t heard the rumor.

The rate of spread of the rumor (y'(t)) being proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumor can then be rewritten as:

\(\frac{dy}{dt} =ky(1-y)\)

for some positive constant k. This is a separable differential equation, so to solve it we separate the variables

\(\frac{dy}{y(1-y)} =kdt\)

and integrate

\(\int\ \frac{dy}{y(1-y)} =\int k dt < = > ln |\frac{y}{1-y} |=kt+c\)

Exponentiating, we get

\(|\frac{y}{1-y}|=e^{kt+c}\)

Denoting ec by A, and taking into account that y ∈ (0, 1) we get

\(\frac{y}1-{y} =Ae^{kt} =\frac{Ae^{kt} }{1}\)

Adding the numerators to the denominators in the above equality of fractions we obtain

\(y=\frac{y}{(1-y)+y} =\frac{Ae^{kt} }{1+Ae^{kt} }\)

The Initial value:

\((x^{2}+1) \frac{dy}{dx} +3y(y-1)=0,y(0)=1\)

The differential equation is equal to

\(\frac{dy}{dx} -\frac{3x(1-y)}{x^2+1}\)

the initial condition of our problem is y(0) = 1, the solution must be y ≡ 1

The differential equation is equivalent to

\(\frac{dy}{dx} +\frac{3x}{x^2+1} y=\frac{3x}{x^2+1}\)

which is a linear equation, with P(x) = Q(x) =\(\frac{3x}{x^2+1}\) we have

\(\int P(x)=\frac{3}{2}\int \frac{2x}{x^2+1} dx=\frac{3}{2} ln(x^2+1)\)

It follows that the integrating factor I(x) is then

\(I(x)e^{\int P(x)dx} =e^{\frac{3}{2} ln(x^2+1)} =(x^2+1)^{\frac{3}{2} }\)

The general technique for solving linear differential equations yields

\(yI(x)=\int Q(x)I(x)dx=\int \frac{3x}{x^2+1} (x^2+1)^{\frac{3}{2} } \\\\=\int 3x(x^2+1)^{\frac{1}{2} } =(x^2+1)^{\frac{3}{2} } +C\)

Dividing by I(x) we get

\(y=1+\frac{C}{(x^2+1)^{\frac{3}{2} } }\)

The initial condition y(0) = 1 yields 1 = 1 + c, i.e. c = 0. Therefore y ≡ 1.

The differential equation is separable. We get this by separating the variables

\(\frac{dy}{y-1} -\frac{-3x}{x^2+1}\)

Integrating, we obtain

\(ln|y-1|=\frac{-3}{2} ln(x^2+1)+c\)

which yields by exponentiation

\(|y-1|=\frac{e^c}{(X^2+1)^\frac{3}{2} }\)

substituting ec by a constant A, and allowing A to also be negative or 0, we get

\(y-1=\frac{A}{(x^2+1)^\frac{3}{2} }\)

The initial condition y(0) = 1 implies that 1 − 1 = A/1 = A, hence A = 0 and          y ≡ 1

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Answer:

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPT

Step-by-step explanation:

Answer:

Formula for the circumference of a circle =2pir

Since the diameter is 10m the radius is half of that which is 5m.

2×3.14×5=31.4m

Step-by-step explanation:

I hope this helps.Have a great day♡

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

95%.

Step-by-step explanation:

The fraction of the total distance that he's ridden

= 38/40 = 19/20.

Now we multiply by 100:-

19/20 * 100

= 95%.

To find the equilibrium price, we need to determine the price at which the quantity demanded is equal to the quantity supplied. In other words, we need to find the price where D(p) = S(p).

Given the demand function D(p) = 1628 - 16p and the supply function S(p) = -4 + 8p, we can set them equal to each other:

1628 - 16p = -4 + 8p

Simplifying the equation, we combine like terms:

24p = 1632

Dividing both sides by 24, we find:

p = 68

Therefore, the equilibrium price is $68. At this price, the quantity demanded (D(p)) and the quantity supplied (S(p)) are equal, resulting in a market equilibrium.

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The reason why there is no fourth quarterly binary for Qtr4 in the estimated regression equation is that its value is implied by the other three binaries.

The regression equation includes three quarterly binaries, namely Qtr1, Qtr2, and Qtr3. These binaries are used to capture any seasonal effects or variations that occur in different quarters. In this case, since the model was fitted to 12 periods of quarterly data starting with the first quarter, the inclusion of Qtr4 as a separate binary variable would be redundant.

The quarterly binaries serve the purpose of distinguishing between the different quarters, allowing the model to account for any unique characteristics or patterns associated with each quarter. By including Qtr1, Qtr2, and Qtr3 as separate binaries, the model already captures the seasonality throughout the year. Since there are only four quarters in a year, the value of Qtr4 can be inferred by considering the absence of the other three binaries.

Therefore, including a fourth quarterly binary for Qtr4 would provide no additional information to the model and would be redundant. Hence, the correct answer is (b) Because it is unnecessary.

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Answer:

Length of MN = 48 units

Step-by-step explanation:

AB is the diameter of the larger circle which is perpendicular to both the chords PQ (chord of the smaller circle) and MN(chord of the larger circle).

Theorem says,

"Radius or a diameter of a circle which is perpendicular to the chord divides the chord in two equal parts."

Therefore, MO ≅ ON

m(MO) = m(ON)

7x - 4 = 6x

7x - 6x = 4

x = 4

m(MN) = m(MO) + m(ON)

           = (7x - 4) + (6x)

           = 13x - 4

           = (13 × 4) - 4

           = 52 - 4

           = 48

Length of chord MN will be 48 units.

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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The probability of the new engine design being approved given that it is low-energy is 0.2, or 20%.

To find the probability of the new engine design being approved, we need to use the concept of conditional probability.

We can use Bayes' Theorem to calculate this conditional probability:

P(A|H) = P(H|A) x P(A) / P(H)

where P(A|H) is the probability of the engine being approved given that it is high-energy, P(H|A) is the probability of the engine being high-energy given that it is approved, P(A) is the overall probability of the engine being approved (irrespective of energy consumption), and P(H) is the overall probability of the engine being high-energy.

Using the values given in the problem, we can substitute in these probabilities:

P(H|A) = 0.1 (given)

P(A) = P(H)P(A|H) + P(L)P(A|L) = 0.50.1 + 0.50.2 = 0.15

P(H) = 0.5 (given)

Therefore, we can calculate:

P(A|H) = 0.1 x 0.5 / 0.15 = 1/3 = 0.333

This means that the probability of the new engine design being approved given that it is high-energy is 0.333, or approximately one-third. Similarly, we can find the probability of the engine being approved given that it is low-energy:

P(A|L) = P(L|A) x P(A) / P(L)

P(L|A) = 1 - P(H|A) = 0.9 (given)

P(L) = 0.5 (given)

P(A|L) = 0.2 * 0.5 / 0.5 = 0.2

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Answer:

DE = 10

Please put the Brainlest

Answer:

Step-by-step explanation:

See image

Answer:

I'm almost positive it's H, but not completely positive....It starts 12n, because n=nuggets, than you add the amount of calories of the large order of fries which is 193.5 calories.....

Step-by-step explanation:

Really sorry if I am wrong. I tortured my brain WITH THIS!!!!!!!

When an aabbccddeeff individual is crossed with an individual with the genotype aabbccddeeff, the probability that their offspring will have the genotype aabbccddeeff would be 1/64.

The genotype of an organism refers to the complete set of genetic material. An offspring's genotype is the result of the combination of genes from their parents.  In order to obtain the overall probability, individual probabilities for each locus will be multiplied. The Parent cross would be AABbccDdEeFF x AaBBCCDdEeff and offspring would be AaBbCcddEEFf.

Multiplying all the probability:

½ * ½ * 1 * ¼ * ¼ * 1 = 1/64

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Answer:

A.

Twice the sum of a number and three means that the number and three are in parentheses.

Answer:

To find the last term, divide the coefficient of the middle term by 2 then raise to the power of 2,that will be :

\(( \frac{ - 12}{2} )^{2} = { - 6}^{2} = 36 \)

Answer:

add 36

Step-by-step explanation:

Answer:

a variable is isolated by using the many properties.

these are addition, subtraction, division, and multiplication

Step-by-step explanation:

hope this helps!

Expression for the miles jonas ran this week is 6m + 3 where m is the miles ran in the last week.

Given that jonas ran 'm' miles in last week.

acc. to statement he run one mile more than twice the miles he ran last week, so the equation will now become:

2m + 1 = miles in this week.

Again if he tripled his goal then the equation would become :

3(2m + 1 ) = new goal

6m + 3 = new goal

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Answer:

\(2\sqrt[3]{2}\)

Step-by-step explanation:

\(log_{2}x + log_{4}x = 2\\\\log_{2}x + \frac{log_{2}x}{log_{2}4} =2\\\\log_{2}x + \frac{log_{2}x}{2} =2\\\\2log_{2}x + log_{2}x =4\\\\3log_{2}x =4\\\\log_{2}x = \frac{4}{3} \\\\x=2^{\frac{4}{3}}=2^{1+\frac{1}{3} }=2*2^{\frac{1}{3} }=2\sqrt[3]{2}\)

The SAS similarity theorem cannot be used because the angle measures between the two proportional side lengths are different.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

The angle measures for this problem are different, as one of them is of 60º while the other is of 55º.

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A cylinder which is option B is a geometric figure which has two circular bases lying in parallel planes.

One of the fundamental three-dimensional forms in geometry is the cylinder, which has two distant, parallel circular bases. At a certain distance from the centre, a curved surface connects the two circular bases. The axis of the cylinder is the line segment connecting the centres of two circular bases. The height of the cylinder is defined as the distance between the two circular bases.

The cylinder has two key characteristics, namely surface area and volume, because it is a three-dimensional form. The combined curved surface area of the cylinder and the areas of the two circular bases make up its whole surface area. A cylinder's volume is the term used to describe the three-dimensional space it takes up.

A cylinder is a three-dimensional solid in mathematics that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centres of the two bases.

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Answer: 69.08 in

Step-by-step explanation:

The formula for circumference is:

2πr

If we substitute 3.14 for π, the formula is:

2(3.14)(11) = 69.08 in

Answer:

2386.0232

Step-by-step explanation:

Find the are, and then find the circumference.

Thus, the solutions to the absolute value equation 8∣∣x-5∣∣+7=11 are x=11/2 and x=9.5.

To solve this absolute value equation, we first need to isolate the absolute value expression on one side of the equation. We can do this by subtracting 7 from both sides:
8∣∣x-5∣∣ = 4

Next, we can divide both sides by 8:
∣∣x-5∣∣ = 1/2

Now, we have an absolute value expression equal to a positive constant (1/2). There are two cases to consider:

Case 1: x-5 is positive
In this case, the absolute value expression simplifies to (x-5) and we have:
x-5 = 1/2
Solving for x, we get:
x = 11/2

Case 2: x-5 is negative
In this case, the absolute value expression simplifies to -(x-5) and we have:
-(x-5) = 1/2
Solving for x, we get:
x = 9.5

Therefore, the solutions to the absolute value equation 8∣∣x-5∣∣+7=11 are x=11/2 and x=9.5.

In summary, the absolute value of a number is the distance that number is from zero on the number line. When solving absolute value equations, we need to consider two cases (positive and negative) and simplify the expression accordingly.

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The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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\(|\Omega|=1+2+3+3=9\\|A|=3\\\\P(A)=\dfrac{3}{9}=\dfrac{1}{3}\approx33,3\%\)