The trip from Manhattan to Montauk Point is 120 miles by train or by car. A train makes the trip in 2 hours, while a car makes the trip in 2.5 hours. How much faster in miles per hour, is the average speed of the train than the average speed of the car?

Answer:

x=33 and angle=69

Step-by-step explanation:

just got it on a test

Measure of x = 69 degree.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that,

vertex angle = 42 degree

Angle of base angle = (2x + 3)°

Use the knowledge that the sum of the base angles in an isosceles triangle equals 180° minus the vertex angle to find the value of x.

Thus,

Vertex angle is,

(2x + 3)° + (2x + 3)° = 180° - 42°

Base angle + Base angle = 180° - 4x + 6 = 138

4x = 132 x = 33

We substitute x = 33 into (2x + 3)°

To determine the magnitude of each base angle:

Base angle equals (x + 3)°

Base angle = (2 x 33 plus 3).

Angle at base: 69° As a result, each base angle is 69°.

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Therefore , the solution of the given problem of linear equation comes out to be neither the standard form nor the canonical form apply to

x >= 0, y >= 0, s1 >= 0, s2 >= 0.

A linear regression model is one that uses the equation y=mx+b. The inclination is B, and the y-intercept is m. Even though y and y are separate parts, the preceding phrase is commonly referred to as a "math equation with two variables." The only factors in bivariate linear equations are two. There are never any answers to the application areas of linear equations. Y=mx+b .

Here,

We must add slack variables to the additional constraints in order to transform this problem into simple form. Moreover, we must confirm that non-negativity constraints apply to all variables. As a result, we can add two slack variables, s1 and s2, to change the restrictions into the format shown below:

=> 2x + y + s1 = -4

=> 3x - 2y + s2 = -6

The following standard form results from the addition of non-negativity requirements for the slack variables:

Reduce z = 3x + 2y while keeping in mind the limitations

=> 2x + y + s1 = -4

=> 3x - 2y + s2 = -6

=> x >= 0, y >= 0, s1 >= 0, s2 >= 0

Hence, neither the standard form nor the canonical form apply to the presented linear programming issue.

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The options to the questions are:

A.  Taking on a job can cut into study time

B.  Paying with credit cards can end up conting more money

C.  Paying with additional loans can lead to connections and opportunities

D.  Taking on a job can make connections that lead to opportunities

Answer:

C.  Paying with additional loans can lead to connections and opportunities

Step-by-step explanation:

When faced with needing additional money during college, an individual may chose to take on job so to get extra money to finance his or her needs. However, such venture often leads to redcution in study time, as working on jobs will also needs it own time of execution.

Also, paying for financial needs during college days with credit card can lead to counting more money on the card. This implies that one can accumulate credit card rewards which can be in form of cashback, or points from certain purchases when using credit card.

More so, taking a job during college days, will definitely brings connections with different people, and thereby leads to opportunities.

However, paying with additional loans will never lead to connections and opportunities, but rather more debt, that the debtor will have to pay, which may take months or years. And it can only be a burden on the debtor.

Hence, when faced with needing additional money during college the option that is NOT true is Paying with additional loans can lead to connections and opportunities

Answer:

1860

Step-by-step explanation:

Answer:

Step-by-step explanation:

Points on line= (-4,5) and (1,2)

use slope formula: M= y2-y1 divided by X2-X1

Filling into the formula: M=2-5 divided by 1+4

M (slope) = -3/5

Answer:

Option 3 :

x → 7+, y → –[infinity]

Step-by-step explanation:

f(x) = (-2x² + 14)/(x² - 49)

x² - 49 = (x + 7)(x - 7)

Hence f(x) goes to infinity at x = - 7 or 7

x < - 7 = (-ve)(-ve) = + ve

=> x → –7–

Here, x² - 49 is + ve

-7 < x < 7 = (+ve)(-ve) = - ve

=> x → –7+ or x → 7– .

here, x² - 49 is - ve

x > 7 = (+ve)(+ve) = + ve

=> x → 7+

Here, x² - 49 is + ve

So (-2x² + 14) is - ve for all [ x → –7– , x → –7+ , x → 7– , x → 7+ ]

As,

-2(-7)² + 14 = -84 and -2(+7)² + 14 = -84

x → –7– = (-ve)/(+ve)

=> y → -[infinity].

x → –7+ or x → 7– = (-ve)/(-ve)

=> y → [infinity]

x → 7+ = (-ve)/(+ve)

=> y → -[infinity].

x → 7+, y → –[infinity]. is the correct option

The statement (C) as x approaches 7 from the left, y approaches -∞ describe the behavior of the graph of the function.

It is defined as a spceial type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a rational function:

\(\rm f(x) =\dfrac{-2x^2+14}{x^2-49}\)

x² - 49 cannot be zero:

x² - 49 ≠ 0

x ≠ 7, x ≠  -7

From the graph, as x approaches 7 from the left, y approaches -∞

Thus, the statement (C) as x approaches 7 from the left, y approaches -∞ describe the behavior of the graph of the function.

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Answer:

36

Step-by-step explanation:

MPA is a right angle 90 + (1/2x +15) + (2x-50) = 180

                                - 90                                        -90

                                          (1/2x + 15) + (2x - 50) = 90

                                                    - 15            -50   -65

                                                              1/2x + 2x = 90

                                                         2&1/2x (2.5) = 90  

                                                                       /2.5     /2.5

                                                                            x = 36

Answer:

Jack's age: 86, Priscilla's age: 72

Step-by-step explanation:

Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.

Answer:

Jack is 86 years old,

and Priscilla is 72 years old

Step-by-step explanation:

j = Jack

p = Priscilla

j - 14 = p $\Rightarrow$ j = p+14

j+p = 158

By subsituting the value of j ( first equation) into the second equation, we get:

p+14+p = 158

2p+14 = 158

2p = 144

p = 72.

So, j = 86

a) There are 2^6 = 64 subsets total.

b)  There are 2^3 = 8 subsets total

c) There are 2^5 = 32 subsets total

d) There are 32^4 = 48 subsets total

e)  There are (6 choose 4) = 15 subsets total

f)   There are 32 = 6 subsets total

g) There are is (6 choose 4) - (3 choose 4) = 15 - 0 = 15 subsets total

h) There are (3 choose 1) * (3 choose 3) = 3  subsets total

a) There are 2^6 = 64 subsets total.

b)  Since we need to include elements 2, 3, and 5 in a subset, we have 3 elements fixed, and we need to choose 1, 2, or 3 elements from the remaining 3 elements (1, 4, and 6). Therefore, there are 2^3 = 8 subsets that contain the elements 2, 3, and 5.

c) There are 2^5 = 32 subsets that contain at least one odd number. This can be seen by noticing that if a subset does not contain any odd numbers, then it must be {2,4,6}, which is not a valid subset since it does not satisfy the condition that it be a subset of S.

d) There are 32^4 = 48 subsets that contain exactly one even number. To see why, notice that there are 3 choices for which even number to include (2, 4, or 6), and then there are 2^4 = 16 choices for which of the remaining 4 odd numbers to include in the subset.

e) There are (6 choose 4) = 15 subsets of cardinality 4. This is the number of ways to choose 4 elements from a set of 6.

f) Since we need to include elements 2, 3, and 5 in a subset of cardinality 4, we have 3 elements fixed, and we need to choose 1 element from the remaining 3 even elements, and 1 element from the remaining 2 odd elements. Therefore, there are 32 = 6 subsets of cardinality 4 that contain the elements 2, 3, and 5.

g) The number of subsets of cardinality 4 that contain at least one odd number is equal to the total number of subsets of cardinality 4 minus the number of subsets of cardinality 4 that contain only even numbers. This is (6 choose 4) - (3 choose 4) = 15 - 0 = 15.

h) The number of subsets of cardinality 4 that contain exactly one even number is equal to the number of ways to choose 1 even number out of 3, and then the number of ways to choose 3 odd numbers out of 3. This is (3 choose 1) * (3 choose 3) = 3.

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Answer:

20 ft.

Step-by-step explanation:

You can solve this as a proportion:

\(\frac{1}{2} = \frac{10}{y}\)

The y is equal to 20.

Hope it helps!

Answer:

Step-by-step explanation:

The absolute value function is:

Step 1. Function is vertically stretched by a factor of 3:

Step 2. Shifted two units left:

Step 3. Shifted 5 units down:

See attached

Steps are Black → Blue → Green → Red

Answer:

MAD would be more similar than mean

Step-by-step explanation:

Without doing any calculations, I assumed that the average value for each neighbor is different since their dot plots surround different areas. The MAD is the mean absolute deviation where it shows how distributed are the dot plots compared to the average value. In this case, I can tell that both neighborhoods having a very similar distribution of dot plots relative to their average/mean. Hope this helps!

Answer:

answer is X= 2/1 ×5+2 ok

The equation that could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute is t = 6.2/s miles/minute

Average speed is defined as the rate of change in distance of a body. Mathematically;

Given the distance of the runner in miles to be;

To express t in terms of the average speed s and distance of 6.2miles, we will substitute the values into the formula;

Substituting D = 6.2miles into the formula;

Cross multiply

Divide both sides by 's'

st/s = 6.2/s

t = 6.2/s

Hence, the equation that could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute is t = 6.2/s miles/minute

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Answer:

y > 0

Step-by-step explanation:

\(y = e^{4x}\)

This is an exponential function;

Consider as x → ∞, y → ∞;

If x = 0. y = e⁰ = 1;

As x → -∞, y → 0;

y ranges from 0 to ∞ therefore, i.e. y > 0

When writing a proof , by copying the “given” statement(s) from the original problem

Given data ,

A true assertion that is provided in the problem or is known to be true should be the first statement in a proof. The subsequent logical argument has this as its foundation.

We can provide the groundwork for the proof and proceed to the desired conclusion by duplicating the "given" statement(s) from the original problem.

Once the first statement is established, we can move on to writing additional statements that are each logically supported by the first statement.

The logical evolution of the preceding assertions demonstrates that the last statement should be the intended conclusion.

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Answer:

Step-by-step explanation:

ss

The number 67 and 113 are not the multiples of 3,6 and 7.

Multiples are the results of multiplying one whole number from another whole number.

Now, for the given question;

As, 67 and 113 are not completely divisible by 3. They are not multiple of 3.

67 and 113 are not entirely divisible by 6. So, they are also not the multiple of 6.

Now, 67 and 113 are also not entirely divisible by 7. Thus, they are also not the multiple of 7.

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Answer:

93,600

Step-by-step explanation:

4x104= 416

416x225 = 93,600

True, The dimension of the eigenspace for each eigenvalue equals the multiplicity.

Eigenvalues are a unique set of scalar values connected to a set of linear equations that are most likely seen in matrix equations. The characteristic roots are another name for the eigenvectors. It is a non-zero vector that, after applying linear transformations, can only be altered by its scalar factor.

When a linear transformation is done to an eigenvector, a set of eigenvectors called an eigenspace is created for each eigenvalue. In many cases, the linear transformation uses a square matrix (a matrix that has the same number of columns as it does rows).

yes, it is true that the dimension of an eigenspace of a symmetric matrix is sometimes less than the multiplicity of the corresponding eigenvalue.

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Work Shown:

x = first integer

x+1 = second consecutive integer just after x

x+2 = third consecutive integer just after x+1

x+3 = fourth consecutive integer just after x+2

Add up those expressions

(x)+(x+1)+(x+2)+(x+3) = 4x+6

That sum is "16 less than 6 times the first integer", so,

sum = 6*(first) - 16

4x + 6 = 6x - 16

4x-6x  = -16-6

-2x  = -22

x = -22/(-2)

x = 11 is the first integer

The four consecutive integers are 11, 12, 13, 14.

As a check, the sum is 11+12+13+14 = 50

Then notice how 6x-16 = 6*11-16 = 50 to help confirm we have the correct answer.

Answer:

y = 1/2x + 7

Step-by-step explanation:

y = mx+ b

y = 5

x = -4

5 = 1/2(-4) + b

5 = -2 + b

7 = b

\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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Accοrding tο the prοvided statement, there will be 21 favοrable results.

A cοmpοsite number is a pοsitive integer that can be fοrmed by multiplying twο smaller pοsitive integers. Equivalently, it is a pοsitive integer that has at least οne divisοr οther than 1 and itself.

A prime integer οnly has twο factοrs: οne and itself. A cοmpοund integer is made up οf at least three cοmpοnents, and οccasiοnally much mοre.

A prime number (οr a prime) is a natural number greater than 1 that is nοt a prοduct οf twο smaller natural numbers. A natural number greater than 1 that is nοt prime is called a cοmpοsite number. Fοr example, 5 is prime because the οnly ways οf writing it as a prοduct, 1 × 5 οr 5 × 1, invοlve 5 itself. Hοwever, 4 is cοmpοsite because it is a prοduct (2 × 2) in which bοth numbers are smaller than 4.

Primes are central in number theοry because οf the fundamental theοrem οf arithmetic: every natural number greater than 1 is either a prime itself οr can be factοrized as a prοduct οf primes that is unique up tο their οrder.

4, 6, 8, 9, 10, 12 - these are the cοmpοsite numbers pοssible as sum.

Favοurable number οf οutcοmes = 21 ans.

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Answer:

Step-by-step explanation:

17 = 6749 × 0 + 17

Then

The remainder is 17

Answer:

fghwjklpkjqkhb cghdbhn bwn x wxhw hwbmx

Step-by-step explanation:

Answer:

133 m^2

Step-by-step explanation:

to find are of a circle it’s r^2 times pi

6^2 x pi

36 pi

113 m^2

Hopes this helps please mark brainliest

Answer:

Answer C is correct

Step-by-step explanation:

The formula to find the area of a circle is:

A = πr²

Here,

r => radius = 6m

Let us find the area of the circle.

A = πr²

A = 3.14 × 6 × 6

A = 113.04 m²

Approx. = 113m²