Determine whether each solution is correct. If the
solution is not correct, describe the error.
3. -6x + 13 = 7x
-6x + 13 – 6x = 7x – Ox
13 = x

The values of the missing angles and sides after dilation are:

m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'

m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC  (dilation)

m∠C'B'D = 180° - 34° - 51° = 95°

Thus, by way of scale factor we can say that:

BC/B'C' = BD/B'D' = 36/18 = 2

B'D' = ¹/₂BD = ¹/₂ * 22 = 11

ΔC'P'Q ∼ ΔCPQ

Thus:

C'Q'/CQ = C'D'/CD = D'Q'/DQ

CQ = 2C'Q' = 2 * 3 = 6

Therefore, m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

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A complete graph is one in which there is an edge connecting every vertex to every other vertex. In order to determine for what values of n a complete graph with n vertices has an Euler circuit and a Hamiltonian circuit, let's discuss the definitions and requirements of each type of circuit.

1. Euler Circuit: An Euler circuit is a path that traverses each edge of a graph exactly once and returns to its starting vertex. For a graph to have an Euler circuit, all vertices must have an even degree (number of edges connected to the vertex).

2. Hamiltonian Circuit: A Hamiltonian circuit is a path that visits every vertex in a graph exactly once and returns to its starting vertex. A complete graph always has a Hamiltonian circuit, regardless of the number of vertices.

Now, let's determine for what values of n a complete graph has an Euler circuit:

In a complete graph with n vertices, each vertex is connected to every other vertex, which means the degree of each vertex is (n-1). For a complete graph to have an Euler circuit, all vertices must have an even degree. This implies that (n-1) must be even, so n must be odd.

So, for a complete graph with n vertices to have an Euler circuit, n must be an odd number.

In summary:
- A complete graph with n vertices always has a Hamiltonian circuit.
- A complete graph with n vertices has an Euler circuit if n is an odd number.

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Answer:

=====================================

Solution in steps:

Answer:

k = 5 (or) k = -6.5

Step-by-step explanation:

Given equation,

→ -5|3 + 4k| = -115

Then the value of k will be,

→ -5|3 + 4k| = -115

→ |3 + 4k| = -115/-5

→ 3 + 4k = 23 || → 3 + 4k = -23

→ 4k = 23 - 3 || → 4k = -23 - 3

→ k = 20/4 || → k = -26/4

→ [ k = 5 ] || → [ k = -6.5 ]

Hence, values are 5 and -6.5.

Answer:

The answer is 1/2

Step-by-step explanation:

Why both item B & C are the same ?

Good luck .

Hope this helpes u ;)

Answer:

1/2

Step-by-step explanation:

Here you utilize the formula of slope which is  m  = y2-y1/x2 -x1

(-1,5) (1,6)

(x1, y1) ( x2, y2)

m = ( 6-5)/ (1-(-1))

= 1/(1+1)

= 1/2

Answer:

1/2

Step-by-step explanation:

The hypotenuse BC is 12√2 feet long.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees.

Here,

In a right triangle, if ∠B is 45°, then ∠C is too.

Since ∠B  and  ∠C  are equal, the sides opposite them

are equal too.  This is an isosceles right triangle.  Its legs

are equal.

(The hypotenuse)² = (one leg)² + (the other leg)²

=(12-ft)²  +  (12-ft)²

=(144 x 2)

=√(144 x 2)  =  12√2

The length of hypotenuse BC is 12√2 ft.

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The probability that none of the 4 light bulbs work is 0.0256, or approximately 2.56%.

Since each light bulb works independently of the others, we can treat the outcome of each bulb as a Bernoulli trial with a probability of success (working) p = 0.6 and a probability of failure (not working) q = 0.4.

To find the probability that none of the 4 light bulbs work, we need to find the probability of having 0 successful trials out of 4. This can be calculated using the binomial distribution:

P(X=0) = (4 choose 0) * (0.6)^0 * (0.4)^4 = 0.4^4 = 0.0256

Where (4 choose 0) is the number of ways to choose 0 successful trials out of 4, which is 1.

In summary, we can use the binomial distribution to find the probability that none of the 4 light bulbs work, since each bulb works independently of the others. Using this method, we find that the probability is 0.0256 or approximately 2.56%.

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Answer:

i finished on the other question yw

Step-by-step explanation:

also not sure if you wanted the values for n

edit:

7. n/2 = 16

8. 2n + 4 = 52

9. 2(n + 5) = 17

10. 3n - 12 = 5

Answer:

7. 32

8. 24

9. 3.5

10. 5.6

Step-by-step explanation:

7. write the equation: n/2=16. Cross multiply.

8. write the equation: 52= 4+2n. Move 4 to the other side and subtract from 52: 48= 2n. Divide both sides by 2.

9. write the equation: 2(5+n)=17. Use the distributive property. Move 10 to the other side and subtract from 17: 2n=7. Divide both sides by 2.

10. write the equation 3n-12=5. move -12 over and add to 5: 3n=17. Divide both sides by 3.

brainliest plzzzzzz

This means car traveled 18 miles on ONE gallon of gas.

You should get 20 to 30 miles per gallon of petrol on average when driving your car. Some automobiles, nevertheless, can go up to 60 miles per gallon. Your car's efficiency varies depending on a number of factors, including miles. Car weight, unsafe driving practices, the environment, and shoddy maintenance are a few of the contributing causes.

Vehicle mileage was x miles.

x miles of gasoline equals x gallons of fuel.

Gasoline consumption is inversely proportional with the distance driven by an automobile.

distance traveled by car  = K× Gasoline used  

Using unitary method,

Distance traveled by car in 1 gallon of gas  = 18 × 1 miles.

Distance traveled by car in 1 gallon of gas  = 18 miles

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In the above isosceles trapezoid,

Since R is the midpoint of HN, HR = RN. Similarly, since T is the midpoint of KJ, KT = TJ.

Let's use these properties to write expressions for HJ and NK in terms of x:

HJ = 5x + 9

NK = 3x - 2

Since NKJH is an isosceles trapezoid, we know that HJ = NK + 2RT. Substituting the expressions we found earlier, we get:

5x + 9 = (3x - 2) + 2(3x + 6)

Simplifying this equation gives:

5x + 9 = 9x + 10

Subtracting 5x from both sides gives:

4 = 4x

Dividing both sides by 4 gives:

x = 1

Now that we know x, we can find the values of HJ, NK, and RT:

HJ = 5x + 9 = 14 cm

NK = 3x - 2 = 1 cm

RT = 3x + 6 = 9 cm

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Answer:

26

Step-by-step explanation:

Answer:

\(y < 2x + 3 \\ y \geqslant - \frac{1}{2} x + 2\)

Answer:

Max at t=2, 128 m/s

Min at t=6, 0 m/s

Step-by-step explanation:

Given the position function of a particle with respect to time, find the minimum and maximum velocity the particle travels over the interval [1,7].

\(s(t)=t^4-16t^3+72t^2+5\)

(1) - Find the velocity function of the particle

The velocity function is a derivative of the position function.

\(s'(t)=v(t)\\\\s(t)=t^4-16t^3+72t^2+5\\\\\Longrightarrow s'(t)=\frac{d}{dx}[t^4-16t^3+72t^2+5] \\\\\text{Use the derivative rules.}\\\\\boxed{\left\begin{array}{ccc}\text{\underline{Power Rule:}}\\\\\frac{d}{dx}[x^n]=nx^{n-1} \end{array}\right} \ \ \boxed{\left\begin{array}{ccc}\text{\underline{Constant Rule:}}\\\\\frac{d}{dx}[k]=0 \end{array}\right} \\\\\\\Longrightarrow s'(t)=(4)t^{4-1}-16(3)t^{3-1}+72(2)t^{2-1}+0\\\\\Longrightarrow s'(t)=4t^{3}-48t^{2}+144t\\\\\)

\(\therefore \boxed{v(t)=4t^{3}-48t^{2}+144t}\)

(3) - Take the derivative of v(t)

\(v(t)=4t^{3}-48t^{2}+144t\\\\\Longrightarrow v'(t)=12t^2-96t+144\)

(4) - Let v'(t)=0 and solve for "t," these are the critical points

\(v'(t)=12t^2-96t+144\\\\\Longrightarrow 0=12t^2-96t+144\\\\\Longrightarrow 0=12[t^2-8t+12]\\\\\Longrightarrow 0=t^2-8t+12\\\\\Longrightarrow (t-6)(t-2)=0\\\\\therefore \text{The critical points are} \ \boxed{t=6 \ \text{and} \ t=2}\)

(5) - Find the max/min values (in this case these values represent the particle's velocity) by plugging the critical points into v(t)

\(\text{Recall that} \ v(t)=4t^{3}-48t^{2}+144t \ \text{and} \ t=6, \ t=2\\\\\text{\underline{When t=6:}}\\\\\Longrightarrow v(6)=4(6)^{3}-48(6)^{2}+144(6)\\\\\Longrightarrow \boxed{v(6)=0 \ m/s}\\\\\text{\underline{When t=2:}}\\\\\Longrightarrow v(2)=4(2)^{3}-48(2)^{2}+144(2)\\\\\Longrightarrow \boxed{v(6)=128 \ m/s}\)

Thus, at time, t=6, the particle's velocity is smallest, 0 m/s. And at time, t=2, the particle's velocity is greatest, 128 m/s.

Answer:

is this answer

Step-by-step explanation:

5(m+1)-1

5m+5-1

5m-4

If a new I phone costs $799 and is estimated to lose 25% of its value every six months after its purchase ,then the value of phone after 2 years is $253  .

The cost of new i phone is = $799 ;

the percent loss in the value after every 6 month is = 25% = 0.25  ;

in 2 years , there are 4 period of six months , so , n = 4  ;

The depreciated value of i phone can be calculated by formula ;

⇒ Value = Cost × (1 - 0.25)ⁿ ;

Substituting value of n =4 and cost = $799 ;

⇒ Value = 799 × (1 - 0.25)⁴ ;

⇒ Value = 799 × (0.75)⁴ ;

⇒ Value = 799 × (0.75)⁴ ;

⇒ Value = 799 × 0.31640625 = 252.8085 ≈ 253 .

Therefore , the value of the phone after 2  years is $253  .

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Answer: B

Step-by-step explanation:

(f/g) means to divide f(x) by g(x).

\((f/g)(x)=\frac{3x+2}{3x-5}\)

To find the domain, you set the domain equal to zero and solve for x.

3x-5=0                   [add both sides by 5]

3x=5                       [divide both sides by 3]

x=5/3

Now, we know that B is the correct answer.

Answer:

Step-by-step explanation:

You want the inequalities and graph representing the given scenario regarding a boy's buying plans for apples and mangoes.

The problem statement tells us to use 'a' to represent the number of apples, and 'm' to represent the number of mangoes the boy buys. His constraints are ...

  a ≥ 5 . . . . . . . . he buys at least 5 apples

  m ≥ 5 . . . . . . . he buys at least 5 mangoes

  5a +3m ≤ 75 . . . . he spends at most 75

  5a -3m ≥ 5 . . . . . he spends at least 5 more on apples

Using x and y for 'a' and 'm', the graph is attached. The corners of the feasible region have their vertices identified. The feasible region is the area overlaid by 4 shadings.

(i) The maximum number of apples he can buy is 12 (lower right corner)

(ii) The maximum number of mangoes he can buy is 11 (nearest integer to the top vertex)

__

Additional comment

When there are this many inequalities, it sometimes works well to reverse them when graphing. That way, the feasible region is white, and the non-feasible areas are shaded.

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hi hope this is what you were looking for, hope this helps.

Answer:

a. 144m

b. After 2 secs

c. Ball hits the ground after 5 secs.

d. 128m

Step-by-step explanation:

A To find max height, find derivative of equation, let it equal zero, and sub in value into original equation: h(t) = -16t² + 64t + 80 h'(t)=-32t+64 -32t+64=0 32t=64 t=2 h(2) = -16(2²) + 64(2) + 80 h(2) = -64+128+80 = 144m B When h=144, t=2. Therefore, the ball reaches its max height after 2 secs. C When the ball hits the ground, h=0: -16t² + 64t + 80=0 t²-4t-5=0 (simplified) (t-5)(t+1)=0 t=5 and t=-1 Discount t=-1 (time cant be neg). Ball hits the ground after 5 secs. D Find h when t=1: h(t) = -16t² + 64t + 80 h(1) = -16(1²) + 64(1) + 80 h(1) = -16+64+80 h(1) = 128m.

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

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

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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A. rotation of \(180\)° clockwise about the origin and then dilation with a scale factor of \(-1\) centered at the origin will result in a figure that is congruent to the triangle ABC.

Using the transformations rotation, reflection, and translation, we always get a triangle that is congruent to the given triangle.

About dilation, if the triangle is dilated by a scale factor of \(1\) or \(-1\), it remains congruent to the original triangle and if it is dilated by any other factor, it does not remain congruent.

Here, we can see that only in option A, the triangle is dilated by a scale factor of \(-1\). So, this will result in a figure that is congruent to the triangle ABC.

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The rate equation for a chemical reaction is  the relationship between the rate of the reaction and the concentrations of the reactants. To write the rate equation for the given reaction: 2 NO(g) + O2(g) → 2 NO2(g)

We need to determine the order of the reaction with respect to each reactant. This is typically done experimentally by measuring the initial rate of the reaction under different reactant concentrations. Let's assume that the rate of the reaction is proportional to the concentration of NO raised to the power of x and the concentration of O2 raised to the power of y: Rate = k [NO]^x [O2]^y. The values of x and y can only be determined through experimental analysis. Additionally, k represents the rate constant, which depends on the temperature and presence of a catalyst.

Without further experimental data, the exact rate equation cannot be determined, and we cannot assign specific values to x, y, or k.

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Answer: the larger number is 59 and the smaller number is 17.

Step-by-step explanation:

a)Total distance the horse travel during one lap is 125.6feet

b)To complete 5 laps around the pen, total time taken is 41.86sec

c)Less time taken To complete 5 laps around the pen is 4.18sec

An object's speed may be defined as how swiftly it is going. It is a scalar quantity that describes the rate at which an object changes its position in a given amount of time.

Given;

Speed of horse=15feet/sec

radius of pen =20feet

Part a)

Total distance the horse travel during one lap is=2πr

=2×π×20

=125.6feet

Part b)

To complete 5 laps around the pen, total time taken=5×Total distance the horse travel during one lap  /Speed of horse

=5×125.6/15

41.86sec

Part c)

New radius of pen =18feet

Total distance the horse travel during one lap is=2πr(new radius)

=2×π×18

=113.04 feet

To complete 5 laps around the pen, total time taken=5×Total distance the horse travel during one lap  /Speed of horse

=5×113.04/15

=37.68

Less time taken To complete 5 laps around the pen is 41.86sec-37.68sec

=4.18sec.

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Measure of segment DC is 24

Measure of segment C'B' is 16

Measure of segment AD is 10

Measure of segment A'B' is 7

Measure of angle C is 49 degrees

Measure of angle A' is 111 degrees

Measure of angle D' is 65 degrees

Measure of angle B' is 135 degrees

Measure of angle A is 111 degrees

To determine the measures, we need to know the properties of parallelograms, we have;

We have that the two parallelograms are equal

Now, trace the angles from one to other

Angle A = 360 - (49 + 135 + 65)

add the values, we have;

Angle A = 360 -249

Angle A =111 degrees

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Answer:

Mr. Doyle has 460000 bees

Step-by-step explanation:

We are told that Mrs. Zhang's bee farm has a population that is about 1 tenth as large as Mr. Doyle's bee farm.

Thus;

Population size of Mrs. Zhang's bee farm = 1/10 × population size of Mr. Doyle's bee farm

Now, we are given that Mrs. Zhang's bee population is about 46,000.

Thus, from the earlier equation, we have;

46000 = 1/10 × population size of Mr. Doyle's bee farm

Thus, when we multiply both sides by 10,we get;

population size of Mr. Doyle's bee farm = 46000 × 10 = 460000 bees

Answer:

(0,10)

Step-by-step explanation:

Im pretty sure bc of subtracting 1 from the -1 in your x vaue and adding 2 to the 8 in you Y value

Answer:

7.5

Step-by-step explanation:

You will use the 2.5 not the 3 as height.

Area of trapezoid=( A+b/2)*h

(2+4/2)*2.5

(6/2)*2.5

3*2.5

7.5

Given:

Addy takes out a $14,000 personal loan to make home repairs.

Her interest rate is 7.6% on a 4-year loan.

Her monthly payments are $339.16

The total months = 4 * 12 = 48 months

The total payback amount = 48 * 339.16 = $16,279.68

The amount of the interest = 16,279.68 - 14,000 = 2,279.68

So, the answer will be:

Total payback = $16,279.68

The interest = $2,279.68

To translate the phrase "increased by a number" into an expression using x to represent a number, we can use the addition operation. The expression would be -22 + x.

Here's a step-by-step breakdown Start with the number -22. The phrase "increased by a number" suggests that we need to add something to -2 Since x represents the number we want to add, we can simply write it as + x. Combine -22 and x using the addition operator to get the final expression: -22 + x.

For example, if x = 5, then the expression -22 + x would evaluate to -22 + 5 = -17. Remember, when translating phrases into algebraic expressions, it's important to carefully consider the meaning of the words and choose the appropriate operation. In this case, since we want to add a number to -22, we used the addition operation.

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