\(\qquad\huge\underline{\boxed{\sf \: Question}}\)
Easy one ~

no plagiarism nd spammers kindle stay out :) ​

Figure 1: Here x = 17, y = 8

Figure 2: Here x = 8, y = 21

Figure 1:

8x - 31° = 6x + 3° , here these angle are alternate interior angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Therefore from the above equation, we can find the value of x

8x - 31° = 6x + 3°

2x= 34°

x = 17°

Now we know that 8x - 31° and 5y + 35° form a line whose sum is equal to 180°.

8x - 31° + 5y + 35° = 180°

Now put the value of x = 17°

136° - 31° + 5y + 35° = 180°

5y= 40°

y = 8°

Therefore x = 17° and y = 8°

Figure 2:

7x +12 = 12x - 28 , as they are alternate interior angles

From this equation, we can have a value of x.

5x = 40°

x = 8°

12x - 28° and 9y - 77° form a line whose sum is equal to 180°

12x - 28° + 9y - 77° = 180°

Now put the value of x = 8°, then we have

96 - 28 + 9y -77 = 180°

9y = 189°

y = 21°

So here x = 8° and y = 21°.

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Answer:

Kristen bought 2 fancy shirts and 5 plain t-shirts.

Step-by-step explanation:

Given that,

Kristen spent $131 on 7 shirts.

Cost of one fancy shirt = $28

Cost of one plain t-shirt = $15

Let,

x be the number of fancy shirts

y be the number of plain t-shirts

x+y = 7       Eqn 1

28x+15y=131    Eqn 2

Multiplying Eqn 1 by 15

15(x+y=7)

15x+15y=105    Eqn 3

Subtracting Eqn 3 from Eqn 2

(28x+15y)-(15x+15y)=131-105

28x+15y-15x+15y=26

13x=26

Dividing both sides by 13

\(\frac{13x}{13}=\frac{26}{13}\\x=2\)

Putting x=2 in Eqn 1

2+y=7

y=7-2

y=5

Hence,

Kristen bought 2 fancy shirts and 5 plain t-shirts.

Answer:

75

Step-by-step explanation:

8% of x =6

8x/100=6

x=600/8=75

Answer:

\(\frac{100}{8}\) = 12.5

/\

8*12.5

/\

6*12.5

/\

75

When the expression (m²/³ n⁻¹/³)⁵ is rewritten, the equivalent expression is   ∛m¹⁰n⁻⁵

From the question, the expression is given as

(m2/3n-1/3)^5

Rewrite the expression properly

So, we have the following representation

(m²/³ n⁻¹/³)⁵

Express the radicals as roots

So, we have

(m²/³ n⁻¹/³)⁵ = (∛m² ∛n⁻¹)⁵

Remove the brackets in the expression

This is done by multiplying the exponents

So, we have

(m²/³ n⁻¹/³)⁵ = (∛m¹⁰ ∛n⁻⁵)

Combine the roots

(m²/³ n⁻¹/³)⁵ = ∛m¹⁰n⁻⁵

Hence, the equivalent expression is  ∛m¹⁰n⁻⁵

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The required simplified expression is given as ∛[m¹⁰/n⁵].

Given that,
For an expression (m²/³n-¹/³)⁵ we have to deduce the function that the solution only consists of the positive integer exponents.

Here,
Rewriting the given expression,
= (m²/³n-¹/³)⁵
Simplifying the expression,
using the property, (xᵃ)ᵇ = xᵃᵇ
= m¹⁰/³n⁻⁵/³
= [m¹⁰n⁻⁵]¹/³
we imply cube root for the exponent 1/3.
= ∛[m¹⁰n⁻⁵]
= ∛[m¹⁰/n⁵]   (using the property x⁻¹ = 1 / x )

Thus, the required simplified expression is given as ∛[m¹⁰/n⁵].

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Part A:

For the function f(x) = 1 - (4)^x -> y -intercept = 0

For the given table we are given the point (0, 2) -> y-intercept = 2

For the graph we can see that the graph intersects the y-axis at point "(0, 1)"

-> the y-intercept = 1

The table has the greatest y-intercept

Part B:

Function: f(x) = 1 - (4)^2 = 1 - 16 = - 15,

Table: Given g(x) (output) = 6

Graph: Output = -7

The table again has the greatest output

Answer:

Step-by-step explanation:

This is a linear function because for every 5 seconds that pass, the height of the plane drops 500 feet, or -500 to be exact. So that's the slope of the line. If we look at the table we can determine where the graph goes through the h axis. The h axis is the y axis, and the t axis is the x axis. So where the graph goes through the h axis is also the y-intercept. If your teacher is any good at all, he/she would make sure that you understand beyond a shadow of a doubt that the y-intercept exists where x = 0. Looking at the table, where x (t) is 0, y (h) is 4000 feet.

Writing the linear equation then is super easy. In the form y = mx + b, we already know both the slope (-100) and the y-intercept (4000), so we fill in accordingly:

h = -100t + 4000 which appears to be choice a.

Answer:

a

Step-by-step explanation:

i took the quiz and got it right :)

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Answer

a = 0

Explanation

a + 5 = -5a + 5

We will bring the terms with a togther and the terms without together

a + 5 = -5a + 5

a + 5a = 5 - 5

6a = 0

Divide both sides by a

(6a/6) = (0/6)

a = 0

Hope this Helps!!!

The probability distribution in the next period for the frog Markov chain, given the current distribution where p3 = 1 and all other pi = 0, will have all probabilities concentrated in the state corresponding to p3.

In a Markov chain, the probability distribution in the next period is determined by the transition probabilities between states. Each state in the Markov chain has an associated probability, indicating the likelihood of transitioning to that state in the next period.

In this case, the current distribution is given as p3 = 1, meaning that the frog is currently in state 3 with a probability of 1. All other probabilities (p1, p2, p4, p5, etc.) are 0, indicating that the frog is not in any other state.

Since the frog is already in state 3 with a probability of 1, there is no transition needed in the next period. Therefore, the probability distribution in the next period will also have p3 = 1, and all other probabilities will be 0.

In summary, the probability distribution in the next period, given the current distribution where p3 = 1 and all other pi = 0, will have all probabilities concentrated in the state corresponding to p3. This means that the frog will remain in state 3 with a probability of 1 in the next period, and there will be no transition to any other state.

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The calculated volume of the model space is 1657.92 cubic inches

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

The model space made from:

The volume of the model space is calculated as

Volume = Cone + Cylinder + Hemisphere

Using the volume formulas, we have

Volume = 1/3πr²h + πr²h + 2/3πr³

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

Volume = 1/3 * 3.14 * 6² * 8 + 3.14 * 6² * 8 + 2/3 * 3.14 * 6³

Evaluate

Volume = 1657.92

Hence, the volume of the model space is 1657.92 cubic inches

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Answer:

5

Step-by-step explanation:

15 has 2 factors 5 and 3

80 gets split into 16 and 5

then split into 8 and 2

then 2 and 4

then 2 and 2

the GCF therefore is 5

Answer:

Percentage Calculator: 9 is what percent of 12? = 75.

Answer:

Density = 8g/cm³

Step-by-step explanation:

Density = Mass/Volume

Given the following

Mass = 960g

Volume = 120cm^3

Substitute

Density = 960g/120cm^3

Density = 8g/cm³

Answer:

4n+13.

Step-by-step explanation:

n is how many weeks, he plants 4 bushes each week you multiply 4 by how many weeks pass and then add how many he already has

uxv = <-3, 3, 3>, (a) For part (a) of the question, we need to add the corresponding components of the vectors u and v to find the vector ū + v.

(a) To find ū + v, we add the corresponding components of the vectors u and v:

ū + v = <1, -1, 2> + <2, 3, -1> = <1+2, -1+3, 2+(-1)> = <3, 2, 1>

(b) To find u - cu, we subtract cu from u, where c is a scalar:

u - cu = <1, -1, 2> - c<1, -1, 2> = <1- c, -1+c, 2-2c>

(a) To find ū · v, we calculate the dot product of the vectors u and v:

ū · v = (1)(2) + (0)(3) + (1)(-1) = 2 + 0 - 1 = 1

(b) To find uxv, we calculate the cross product of the vectors u and v:

uxv = <1, 0, 1> x <2, 3, -1>

The cross product of two vectors in three-dimensional space is given by the formula:

uxv = <(u2v3 - u3v2), (u3v1 - u1v3), (u1v2 - u2v1)>

Substituting the values from the given vectors: uxv = <(0)(-1) - (1)(3), (1)(2) - (1)(-1), (1)(3) - (0)(2)>

= <-3, 3, 3>

Therefore, uxv = <-3, 3, 3>.

(a) For part (a) of the question, we need to add the corresponding components of the vectors u and v to find the vector ū + v. This can be done by simply adding the corresponding elements.

In this case, the x-component of ū + v is obtained by adding the x-components of u and v (1 + 2 = 3), the y-component is obtained by adding the y-components (-1 + 3 = 2), and the z-component is obtained by adding the z-components (2 + (-1) = 1). Therefore, the vector ū + v is <3, 2, 1>.

(b) For part (b) of the question, we need to subtract cu from u, where c is a scalar. This operation involves multiplying each component of u by c and then subtracting the corresponding components.

In this case, the x-component of u - cu is obtained by subtracting the x-component of cu (c * 1) from the x-component of u (1 - c),

the y-component is obtained by subtracting the y-component of cu (c * -1) from the y-component of u (-1 + c), and the z-component is obtained by subtracting the z-component of cu (c * 2) from the z-component of u (2 - 2c). Therefore, the vector u - cu is <1 - c, -1 + c, 2 - 2c>.

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Answer:

Hi, the price went up by 20%

Hope this helps

Your query has an answer of Extras charges = $999.

What does math's % mean?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

What is the formula's percentage?

By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.

Detailed explanation:

Data

Total cost: $11.325

8% state tax

$53 for license plates

$40 for an emissions inspection.

Process

1.- Determine the 8% of the car's cost.

11325 ———————— 100%

x ———————- 8%

x = (8 x 11325)/100

x = 90600/100

x = $1,066.16 in state taxes

2. Determine the entire cost.

Charges total $906 plus $53 plus $40.

= $ 999

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AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Answer:

Slope:

y= 1/3

Therefore, the above answer is correct.

Hoped this helped.

\(BrainiacUser1357\)

Adding both of the polynomial equations we get \(x^2+y^2+4x+4\).

A polynomial equation exists an equation where a polynomial exists set equivalent to zero. i.e., it exists an equation constructed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It includes different exponents. The highest one demonstrates the degree of the equation.

Given: \(x^2 + 2x + 1\) and \(y^2 + 2x + 3.\)

Adding both of these two equations, then we get

\(x^2+2x+1+y^2+2x+3\)

Group like terms

\(=x^2+y^2+2x+2x+3+1\)

Add similar elements \(x^2+y^2+4x+4\)

Adding both of the polynomial equations we get \(x^2+y^2+4x+4\).

Therefore, the correct answer is \(x^2+y^2+4x+4\).

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The compounding formula is used to create the quarterly compounding formula. To the nearest cent, the compounded balance is $ \(12,832.27.\)

To reflect the quarterly interest computation as the only change, the interest rate is increased by 4*2.

\(A = P(1 + r/n)(nt)\)

Assume that we have a $  \(10,000\) Initial investment, a 6% yearly interest rate, and a 5-year investment period. We have n = 4 and t = 5 since the interest is compounded every three months.

Plugging in these values, we get:

\(A = 10,000(1 + 0.06/4)(4*5)\)

\(= 10,000(1.015)^20\)

\(= 12,835.72\)

Hence, the final balance is $ \(12,835.72\) to the nearest penny.

If the money is compounded continually, we may use the following formula to determine the balance:

\(A = Pe(rt)\)

With the identical values as before, we obtain:

\(A = 10,000e(0.06 \times5)\)

\(= 10,000e(0.3)\)

\(= 12,832.27\)

Therefore, So the balance, to the nearest cent, is $ \(12,832.27.\)

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Answer:

for # 1 it is 9

#2 is 21

Step-by-step explanation:

Answer: c x=3

Step-by-step explanation:

Simplify it you will get

2-x=x-4 then minus x and four so you will get

2x=6 divide

X=3

Answer:

12

Step-by-step explanation:

8-4= 4 So, 4 is the quotient.

4x3= 12 So 12 is the original number  

12/3 + 4= 8

Answer:

I think the answer is $35.

Step-by-step explanation:

Since Mai's bank account has a negative balance by adding 75 to -40, -40 would go to 0 and the remainder would be 35 (if that makes sense).

-40 + 75= 35.

hope this helps and yes nice fit ;)

In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.

THE MATCHING LAW

Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.

After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.

Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.

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Answer:

N=2

Step-by-step explanation:

3n+2=8

CLT

3n=8-2

3n=6

DBS by 3

3n/3=6/3

N=2

When y = 100, x is approximately equal to 0.04.

If y varies inversely as x^2 and y = 16 when x = 5, we can find the values of x and y when y = 100.

To solve this problem, we can use the inverse variation formula, which states that y = k/x^2, where k is the constant of variation.

Given that y = 16 when x = 5, we can substitute these values into the formula to find the value of k.

16 = k/(5^2)
16 = k/25

To find k, we can cross multiply:
16 * 25 = k
400 = k

Now that we know the value of k, we can use it to find the value of y when x = 100.

y = k/(100^2)
y = 400/(100^2)
y = 400/10000
y = 0.04

Therefore, when y = 100, x is approximately equal to 0.04.

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(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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