HELP PLS!!!
To get to work in the morning, Amanda cycles for 10 miles at the rate of 12 mph. She makes a 10 minutes stop for a cup of coffee, and then rides a bus for 15 minutes. The speed of the bus is 45 mph.


a.At what time will Amanda get to work if she leaves home at 8:30 AM?

b.At what time must Amanda leave home to get to work at 9:30 AM if she does not stop for coffee?

c.At what rate, in mph, would Amanda have to cycle to get to work by 9:45 am if she leaves her house at 8:30 am and she wants to have a coffee break that is 5 minutes longer than usual?

d.At what rate, in mph, would Amanda have to cycle to get to work by 9:45 am if she leaves her house at 8:30 am she wants to have a coffee break that is 10 minutes longer than usual?

a. X can be an instrument for itself if relevant.
b. Exogenous variables don't affect instrument relevance.

a. The reasoning or statement is correct. X can serve as an instrumental variable for itself in certain cases. This occurs when X is endogenous (correlated with the error term in the regression equation) and there is a valid reason to believe that X affects the outcome variable but is not directly affected by other factors.

b. In the presence of exogenous variables (W's) in the model, the F-statistic described above, which tests whether all first-stage parameters are zero, is not used to determine the relevance of instruments. The concept of relevance of instruments is concerned with whether the instruments are correlated with the endogenous variable (X) in the first stage. Exogenous variables (W's) are not part of the relevance assessment because they are assumed to be unrelated to the endogenous variable. Therefore, the F-statistic used to test relevance would only consider the instruments (Z1, Z2, Z3, Z4) and their correlation with X, disregarding the presence of exogenous variables.

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Answer:

g = \(\frac{4}{3}\)

Step-by-step explanation:

4 - \(\frac{1}{12}\) g - 2 = \(\frac{3}{2}\) g + 1 - \(\frac{5}{6}\) g

multiply through by 12 ( the LCM of 12, 2 and 6 ) to clear the fractions

48 - g - 24 = 18g + 12 - 10g

- g + 24 = 8g + 12 ( subtract 8g from both sides )

- 9g + 24 = 12 ( subtract 24 from both sides )

- 9g = - 12 ( divide both sides by - 9 )

g = \(\frac{-12}{-9}\) = \(\frac{12}{9}\) = \(\frac{4}{3}\)

Answer:

10 years

Step-by-step explanation:

Given :

Population of Canyon falls = 22500

Rate of decrease = 740 per year

Population after x years :

f(x) = 22500 - 740x ; x = number of years

Population of Swift Creek = 15200

Rate of Increase = 1500 per year

Population after x years :

f(x) = 15200 + 1500x ; x = number of years

Number of years when, population of swift creek will be twice that of Canyon falls

15200 + 1500x = 2(22500 - 740x)

15200 + 1500x = 45000 - 1480x

15200 - 45000 = - 1480x - 1500x

-29800 = - 2980x

x = 29800 / 2980

x = 10

After 10 years

Answer:

2/9 is smaller than 3/10

Step-by-step explanation:

The probability a player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue). Option C is correct.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Probabilities of wearing specific jersey colors,
Yellow 0.47

Blue 0.18

White 0.35

So,
P(Yellow)> P(White) > P(Blue).

It implies that, from the options, the player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).

Thus, option C is correct.

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Answer: C: The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).

Step-by-step explanation:

Step-by-step explanation:

Find the attached picture

The best advice for Fiona is that she should reflect and see if there is anything she can improve on.

So, the correct answer is D.

While Fiona has met her exercise goal for six months, it's important to continue to assess and make adjustments to her routine to ensure she is challenging herself appropriately and meeting her health goals.

Reflecting on her progress can also help her identify any areas where she may need additional support or resources.

Therefore, it's important for Fiona to not become complacent and continue to reflect on her progress and make necessary changes to maintain her healthy habits.

Hence the answer of the question is D.

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Dan used a total of 5 17/24 gallons of gas on Saturday and Sunday combined.

To find the total number of gallons Dan used on Saturday and Sunday, we shall add the amount of gas he used each day.

On Saturday, Dan used 1 3/8 gallons.

On Sunday, Dan used 4 1/3 gallons.

To add these two amounts, we shall find a common denominator by determining the least common multiple (LCM) of 8 and 3 is 24.

Converting 1 3/8 to an improper fraction:

1 3/8 = (8 * 1 + 3) / 8 = 11/8

Converting 4 1/3 to an improper fraction:

4 1/3 = (3 * 4 + 1) / 3 = 13/3

Now we can add the fractions using a common denominator, which is 24 in this case:

Let's convert both fractions:

11/8 = (11 * 3) / (8 * 3) = 33/24

13/3 = (13 * 8) / (3 * 8) = 104/24

Now we can add the fractions:

33/24 + 104/24 = (33 + 104) / 24 = 137/24

So, simplifying the fraction, we have:

137/24 = 5 (remainder 17)

5 17/24 gallons.

Hence, Dan used a total of 5 17/24 gallons of gas on Saturday and Sunday combined.

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Answer:

Step-by-step explanation:

3*3d^8/3d^10

3*3d^(-2)

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer:

Lol what a question dude

Answer is 1/5

To plot the graph of the function:

According to your graphing software, we need to find the smallest value of the function, and any point at the positive slope side of the function. Let's start with the minimum point. Let's use the general formula for an absolute value function:

The coefficients 'b' and 'c' determinates how much the function was translated from the origin. The 'b' determinates in the x-axis, and the 'c' determinates in the y-axis.

If the 'b' is positive, the function translated to the left, if it is negative the function translated to the right.

If the 'c' is positive the function went up, and if it is negative it went down.

Now let's analyze our h(x) function. Our coefficients are:

Which means our minimum point is

Now, we just need to calculate any point to the right of x = -1.

Let's calculate for x = 0.

The second point is (0,7)

The diameter of a bicycle wheel is 24 inches. Around the wheel, there are 32 spokes that are spaced 48 meters away from one another.

The diameter of a circle is the distance measured through its center. The radius of a circle is the distance from the center to any point on the edge. Diameter divided by radius equals two, or 2r=d. 2 r = d . The simplest place to start would be to use a ruler to measure the distance between the circle's outside edges starting from its very center. The diameter would be that.

The diameter of the circle is the measurement at issue. The distance between the circle's center and its periphery can be measured.

far apart is each spoke (distance) = radius = diameter / 2

distance = 24/2

distance = 12

Since a wheel has 4 parts. so, 12*4 =  48 m

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Answer:

c

Step-by-step explanation:

If "O" is the center of a circle, "M" a point on chord AB of the same circle whose length is 12 cm, and if OM whose length is 8 cm is perpendicular to AB, then the length of AM is 6 cm, and the radius of the circle is 10 cm.

As per the question statement, "O" is the center of a circle, "M" a point on chord AB of the same circle whose length is 12 cm, and OM whose length is 8 cm, is perpendicular to AB,

And we are required to determine the length of the segment AM, and the radius of the circle.

To solve this question, we need to the know an important theorem regarding the perpendiculars from the center to the chords of a circle, which is, "The perpendicular to any chord of a circle from it's center bisects the chord".

Here since AB is a chord of our concerned circle, and OM is the perpendicular to AB from the center, therefore, as per the above mentioned theorem, OM must also bisect AB at M, that is,

[AM = BM = (AB/2)]

Or, [AM = (12/2) cm]

Or, (AM = 6 cm]

Now, since (OM ⊥ AB) at M, therefore, (∠AMO = ∠BMO = 90°), and both A and B are two points on the circumference of the circle. If we join AO and BO with straight lines, we will have two congruent right-angled triangles, ΔAMO and ΔBMO. Advancing with ΔAMO, we will get, "OM" to be the perpendicular or altitude of the triangle, "AM" to be the base, and "AO" to be the hypotenuse of it. And as per the Pythagorus theorem, we know that, [(hypotenuse)² = {(perpendicular)² + (base)²}]

Or, [AO² = (OM² + AM²)]

Or, [AO² = (8² + 6²)]

Or, [AO² = (64 + 36)]

Or,(AO² = 100)

Or, [√(AO)² = √100]

Or, (AO = 10)

And since any straight line from the center of a circle to any point on it's circumference is the radius of it, therefore, "AO" is a radius of our concerned circle. Hence, the radius of this circle is 10 cm.

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Lydia earns $52.5 more than Gabrielle after 3 years.

percentage, a relative value indicating hundredth parts of any quantity.

we can use the formula for compound interest:

\(A = P(1 + r/n)^n^t\)

where A is the final amount,

P is the principal (initial investment),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year, and

t is the number of years.

For Lydia (n=365)

A=1000(1+0.0525/365)¹⁰⁹⁵

A=1115.7

For Gabrille, we use the same formula but with n = 2 (compounded semi-annually):

A = 1000(1 + 0.0525/2)⁶

A = 1000(1.0265625)⁶

A = 1168.2

To find the difference in the amounts earned, we subtract Gabrielle's amount from Lydia's:

1168.2- 1115.7 = 52.5

Hence, Lydia earns $52.5 more than Gabrielle after 3 years.

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If the loan amount or principal is 19,900 dollars. At 25 months, the balance of the loan is 10,356 dollars and 3 cents. The principal amount is c. $9,543.97.

Using this formula to find the principal amount that was paid off.

Principal = loan amount - Balance on twenty five payment

Based on the table the balance on the twenty five (25) payment is $ 10,356.03.

Now let plug in the formula

Where:

Principal  = $ 19,900 - $ 10,356.03

Principal  = $9,543.97

Therefore we can conclude that the correct option is C.

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The complete question is:

The following table shows a portion of a four-year amortization schedule. A 4-year amortization schedule. The loan amount or principal is 19,900 dollars. At 25 months, the balance of the loan is 10,356 dollars and 3 cents.

After twenty-five payments, how much of the principal has been paid off?

a. $2,669.28

b. $10,353.25

c. $9,543.97

d. $12,213.25

a) E(2X) = 2E(X) = 2(4) = 8. Therefore, the expected value of 2X is 8.

b) Var(2X) = (2^2)Var(X) = 4(3^2) = 36. Therefore, the variance of 2X is 36.

To derive these answers, we first used the fact that the expected value of a constant times a random variable is equal to the constant times the expected value of the random variable. This is why we were able to obtain E(2X) = 2E(X) = 2(4) = 8.

For part b, we used the fact that the variance of a constant times a random variable is equal to the square of the constant times the variance of the random variable. This is why we were able to obtain Var(2X) = (2^2)Var(X) = 4(3^2) = 36.

In summary, we were able to find the expected value and variance of 2X by using basic properties of expected value and variance.

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Derivatives are essential for solving calculus and differential equation problems then the derivative of this function is \($f^{\prime}(x)=k$\)

The rate of change of a function with respect to a variable in Mathematics. Derivatives are essential for solving calculus and differential equation problems.

Given a traditional unbent position, f(x) = kx + d, where k is the pitch and (0, d) is the y-intercept.

a) Consider our position at two distinct points first:

f(x) = kx + d

f(x + h) = k(x + h) + d = kx + kh + d

Evaluate the derivative, then

\($\lim h \rightarrow x \frac{f(x+h)-f(x)}{h}\)

substitute the values in the above equation, we get

\($&=\lim h \rightarrow x \frac{(k x+k h+d)-(k x+d)}{h} \\\)

simplifying the above equation, we get

\($&=\lim h \rightarrow x \frac{k h}{h} \\\)

\(&=\lim h \rightarrow x k \\\)

= k

Therefore, the derivative of this function is \($f^{\prime}(x)=k$\)

b. Since the actual function is linear, its part is all real numbers by definition.

c. Since the product is a constant function, its part is all real digits by meaning.

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A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.

You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Given,

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.

Let s represent the truck's speed and (s+20) represent the car's speed.

to determine each vehicle's time

Time = Speed / Distance

truck time = 350/s

Time in an automobile is 350/(s+20)

Truck time - car time = 2 hours

So,

(350/s) - [350/(s+20)] = 2

LCM is s(s+20)

[350(s+20) - 350s]/s(s+20) = 2

Cross multiplying,

350(s+20) - 350s = 2s(s+20)

Simplifying the equation,

350s + 7000 - 350s = 2s² + 40s

Now, we have quadratic equation to simplify,

2s² + 40s - 7000 = 0

Dividing the equation by 2

s² + 20s - 3500 = 0

Factorizing,

s= 50

s= -70 (impossible because of the sign)

Hence the truck's speed is s = 50 km/h.

The speed of the car is s + 20 = 70 km/h.

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Answer:

23

Step-by-step explanation:

8-2=6

6×3=18

18+5=23

Answer: 23

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

x=4andy=7

2×4+7 isnot equal to 7

Answer:

Tue equation is

y=2x+7

So, the answer is

(2,7)

And (4,7) is wrong

Answer:

120 different possible lunch specials

Step-by-step explanation:

To calculate the overall number of possible lunch specials that can be made we would need to multiply together all of the options from each one of the items found in the lunch special. These values are provided in the question so we can simply multiply them all together to calculate the total possible lunch specials that can be made...

3 * 2 * 5 * 4 = 120 possibilities

Finally, we can see that there are a total of 120 different possible lunch specials that can be made with the availble options.

Answer:

m1=45

m1=88

m2=42

m3=113

Step-by-step explanation:

Step-by-step explanation:

first Pythagoras with the right, smaller right-angled triangle. that gives us the height of the total triangle, and the shorter leg of the left, larger right-angled triangle.

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.

6² = 3.5² + height²

36 = 12.25 + height²

height² = 23.75

height = sqrt(23.75) = 4.873397172... cm

now, as mentioned, this height is also the second leg of the left, larger right-angled triangle.

and with a given angle, now trigonometry has to be used.

remember, what sine and cosine are ?

sine of an angle is the vertical (up/down) leg, and cosine is the horizontal (left/right) leg of the right-angled triangle created by the angle and inscribed in the (norm-)circle.

"norm-circle", because the radius is 1.

now, for a larger circumscribing circle (like in our case here), we need to multiply the actual radius by sine and cosine (and all other trigonometric functions).

the radius is the large, top-left side coming from the 30° angle.

we don't know the length yet, but we know the value of sin(30) multiplied by that length, which is the height we just calculated.

so,

sqrt(23.75) = sin(30)×radius

radius = sqrt(23.75)/sin(30)

sin(30) = 0.5 = 1/2

so,

radius = sqrt(23.75)/ 1/2 = sqrt(23.75)×2

x is now the cosine of the angle multiplied by the radius.

x = cos(30)×sqrt(23.75)×2 = 8.440971508... cm

≈ 8.4 cm

Answer:

8.4 cm

Step-by-step explanation:

We can find the altitude of the triangle by the Pythagorean theorem

et h be the altitude

\(h = \sqrt{6^{2} - 3.5^{2}}\\= \sqrt{6^{2} - 3.5^{2}}\\\\= \sqrt{6^{2} - 3.5^{2}}\\\\= \sqrt{23.75}\\= 4.8734\)

In the triangle on the right, notice it is a 30-60-90 right triangle. Such a triangle has the property that the side opposite 30°, ( h) is related t the side opposite  60° (x) by the relationship

x/sin 60 = a /sin 30

sin 60 = √3/2 and sin 30 = 1/2

so x = a/sin 30 x sin 60
x =  [a/(1/2) ]x √3/2 = √3a

The vertical leg (4.8734) is related to the horizontal leg (x) by the formula

x = 4.8734 x √3

= 8.4 cm

Answer:

2\(x^{2}\)+4

I would give a step by step explanation but it keeps saying I'm typing inappropriate words so message me if u need

Hence, The value of fg(x) in the form of ax2+b is 2x2+4.

Composition of function is an operation in which we combine two or more function to generate a single function. In this question the function g is places in the place of x.

How to solve?

Given f(x)=x/5 +3

g(x)=10\(x^{2}\) + 5

the composition of function ,

fg(x) = g(x)/5 + 3

fg(x) = (10\(x^{2}\) + 5)/5 + 3

       = 2\(x^{2}\)+ 1 + 3

       = 2\(x^{2}\) + 4

hence, fg(x)= 2\(x^{2}\)+4 where a=2 and b=4

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Answer:

Anong grade lalaki or babae

\(D = \frac{1}{2} dk\)

\(k = \frac{2D}{d} \)