Imelda rode her bicycle 39 kilometers. If 1 meter = 1.094 yards, find the distance Imelda rode her bicycle to the nearest mile. (Hint: 1 mi = 1760 yd)

Answer:

Step-by-step explanation:

To find the roots (zeros), replace  y  with  0 and solve for  x .

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The dosage at which the resulting blood pressure is maximized is x at 0.2 and the maximum dosage is 0.0008.

In the question,

The function is \(B(x) = 0. 06x^2 - 0. 2x^3\)

To find the maximum or minimum, take the derivative and set it equal to zero.

⇒ \(B'(x) = 2(0. 06)x - 3(0. 2)x^{2}\)

Setting it equal to zero, we get

⇒ \(0.12x - 0.6x^{2}=0\)

⇒ 0.6x (0.2-x) = 0

⇒ x = 0 or x = 0.2

Now substitute x = 0.2 in B(x), we get

⇒ \(B(0.2) = 0. 06(0.2)^{2} - 0. 2(0.2)^{3}\)

⇒ B(0.2) = 0.0024 - 0.0016

⇒ B(0.2) = 0.0008

To know B(0.2) is maximum, let us find the values for x = 1 and x = 0.01.

For x = 1,

⇒ \(B(1) = 0. 06(1)^{2} - 0. 2(1)^{3}\)

⇒ B(1) = 0.06-0.2

⇒ B(1) = -1.04

For x = 0.01,

⇒ \(B(0.01) = 0. 06(0.01)^{2} - 0. 2(0.01)^{3}\)

⇒ B(0.01) = 0.000006 - 0.0000002

⇒ B(0.01) = 0.0000058

Thus, x = 0.2 is the maximum.

Hence we can conclude that the dosage at which the resulting blood pressure is maximized is x at 0.2 and the maximum dosage is 0.0008.

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The large gear needs to make 3 full turns, and the small gear needs to make 4 full turns for the arrows to line up again.

To find the number of times the gears need to turn, we need to determine the least common multiple (LCM) of the number of teeth on each gear. The LCM of 12 and 8 is 24. This means that it takes 24 teeth engagements for the gears to align again.

For the large gear with 12 teeth, it will complete one full turn when 12 teeth have engaged. Since the LCM is 24, the large gear needs to make 2 full turns to reach 24 teeth engagements. Therefore, it needs to make a total of 2 turns for the arrows to line up again.

Similarly, for the small gear with 8 teeth, it will complete one full turn when 8 teeth have engaged. Since the LCM is 24, the small gear needs to make 3 full turns to reach 24 teeth engagements. Therefore, it needs to make a total of 3 turns for the arrows to line up again.

The large gear needs to make 2 full turns, and the small gear needs to make 3 full turns for the arrows to line up again. When the arrows align, 24 teeth will have touched each other.

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Answer:

Step-by-step explanation:

2 1/3 because I learned this exact question at school

The sum of the angle measures of the polygon is 540°, the value of x is 5.

The sum of the angle measures of the polygon is 540°.

We know that the sum of the interior angles of a polygon of n sides = (n – 2) × 180°. = 3× 180°= 540°

If a polygon has x sides, then the sum of its angle measures can be found using the formula:

Therefore, for a polygon with x sides, the equation becomes:

⇒(x-2) * 180° = 540°

Solving for x, we get:

⇒x = (540° + 360°) / 180° + 2

⇒x = 3 + 2

⇒x = 5

So, the polygon has 5 sides.

Therefore, the value of  x is 5.

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Answer:

(-6,2)

Step-by-step explanation:

for the reflection just go on the opposite side of the y axis and then it would be negative but then going left 2 more would add to 4.

To determine the Annual Percentage Rate (APR) based on a monthly interest rate, you can use the following formula:

APR = (1 + monthly interest rate)^12 - 1

In this case, the monthly interest rate is 0.5% or 0.005 (decimal form). Plugging it into the formula, we have:

APR = (1 + 0.005)^12 - 1

Calculating this expression:

APR = (1.005)^12 - 1

APR = 1.061678 - 1

APR ≈ 0.061678 or 6.17% (rounded to two decimal places)

Therefore, the bank would quote an APR of approximately 6.17% for this account.

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The measure of angles m∠QTR and m∠PTQ are 98.25° and 81.75° respectively, using the angle N between intersecting tangents.

The angle between two tangent lines which intersect at a point is 180 degrees minus the measure of the arc between the two points of tangency.

61.5 = 180 - arc PS

arc PS = 180 - 61.5

arc PS = 118.5

m∠QTR = 1/2 × (118.5 + 78) {intersecting chords}

m∠QTR = 196.5/2

m∠QTR = 98.25

m∠PTQ = [360 - 2(98.25)]/2 {one of the angles at a point}

m∠PTQ = 163.5/2

m∠PTQ = 81.75

Therefore, measure of angles m∠QTR and m∠PTQ are 98.25° and 81.75° respectively, using the angle N between intersecting tangents.

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Answer:

Maybe y = 4x^2 + 3x -6

Step-by-step explanation:

The information is too garbled to make sense.  I did the best I could with a few of the points and the first three equations.  What is "0472-3x-6"?

Please see the attached graph for the points I think are in your data.  There is one equation that fits the three points I used.  Do the same with DESMOS using the correct data.

Answer:

Down

Step-by-step explanation:

Given

\(g(x) = f(x) - 1\)

Required

The translation of f(x) that gives g(x)

Given that the relationship between 2 functions be:

\(g(x) = f(x) - b\)

This means that f(x) is translated b units downward to give g(x). So, the word that completes the blank is down

Answer:

  x = 30

Step-by-step explanation:

You want the measure of the acute angle where a tangent meets a chord that intercepts an arc of 300°.

An angle inscribed in a circle has half the measure of the arc it intercepts.

If one leg of that inscribed angle degenerates in length to zero, then the "inscribed" angle becomes the angle between the remaining chord and the tangent to one end of that chord.

In other words, the measure of the angle marked x° is half the measure of the arc it intercepts.

  x° = 1/2(360° -300°) = 1/2(60°)

  x° = 30°

The value of the variable x is 30.

If we have a two sample confidence interval, then our point estimate is given by \((\bar X_1-\bar X_2)\).

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific degree of confidence, this is the range of values you anticipate your estimate to fall inside if you repeat the test. In statistics, confidence is another word for probability.

a) Select true for the part(s) of this formula that do not depend on the sample (n).

The confidence interval = True

The formula for confidence interval is

\(CI = \bar x \pm critical \space value * \frac{S.D}{\sqrt{n} }\)

The Point Estimate = True

The critical value is based on significance level and degree of freedom (df)

df = n-1

The standard error = True

\(SE = \frac{\sigma}{\sqrt{n} }\)

b) We call (Critical Value) x (Standard Error) the Margin of Error

c) If we have a two sample confidence interval, then our point estimate is

\(CI = (\bar x_1-\bar x_2) \pm t_c\sqrt{s^2(\frac{1}{n1} +\frac{1}{n2} )}\)

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Complete question:

a. Select true for the part(s) of this formula that depend on the sample. (In other words, which parts can change with each new sample?) True or False? The confidence interval True or False? v The point estimate True or False? ~ The critical value True or False? V The standard error b. We call (Critical Value)X(Standard Error) the ? Confidence Level Margin of Error Degrees of Freedom Plus/Minus Amount c. If we have a two sample confidence interval, then our point estimate is OH1 – 112 Old Од X – X₂ Xd OX

Answer:

5

Step-by-step explanation:

23 x + 977 y = 2023

977 x + 23 y = 2977

add the 2 together

1000x+1000y =5000

so x+y =5

x=5-y

plug this into first equation

23(5-y) +977y =2023

solve for y =2

so x=3

x² -y² =(x+y)*(x-y) =5*1 =5

Answer:

63

Step-by-step explanation:

Answer:

12 and 13

Step-by-step explanation:

consider perfect squares on either side of 156

144 < 156 < 169 , then

\(\sqrt{144}\) < \(\sqrt{156}\) < \(\sqrt{169}\) , that is

12 < \(\sqrt{156}\) < 13

Answer:

○ 12 and 13

Step-by-step explanation:

If we look at the two square numbers that are smaller than and greater than 156, they are:
• 114 = 12²

• 169 = 13²

Now, we can compare the square roots of these two numbers with \(\sqrt{156}\) :

\(\sqrt{144} < \sqrt{156} < \sqrt{169}\)

⇒ \(12 < \sqrt{156} < 13\)

Therefore, the answer is 12 and 13.

When x = -2 , f(x) = 4 , when x = 0, f(x) = 8 ,and when x = 5, f(x) = 18.

Given function:

f(x) = 2x + 8

when x = -2

f(-2) = 2(-2) + 8

= -4 + 8

f(-2) = 4

when x = 0

f(0) = 2(0) + 8

= 8

f(0) = 8

when x = 5

f(5) = 2(5) + 8

= 10 + 8

f(5) = 18

Therefore when x = -2 , f(x) = 4 , when x = 0, f(x) = 8 ,and when x = 5, f(x) = 18.

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Answer:

Bias from using a convenience sample (C)

Step-by-step explanation:

This sampling method is an example of taking a convenience sample because the mobile phone service provider is only taking samples from the people that responded. The availability of certain people causes a bias in the data drawn from this sampling method.

Answer:

$7665

Explanation:

simple interest: principal * rate (%) * time (years)

Given:

principal: $3,500

rate: 7%

time: 17 years

Solve for interest received:

3,500 * 7% * 17

$4165

Total money in account:

$4165 + $3,500

$7665

Answer:

x=25/64

Step-by-step explanation:

by simple substitution

The conditions at the bottom of the Mariana Trench are vastly different from those in a typical bathtub. The water pressure at that depth is extreme, with over 8 tons of pressure per square inch. In contrast, the water pressure in a bathtub is negligible. Additionally, the water in the Mariana Trench is near freezing, while the water in a bathtub is typically warm or hot. Overall, the conditions in the Mariana Trench are incredibly harsh and inhospitable, making it one of the most extreme environments on Earth.
The Mariana Trench is the deepest part of the ocean at 39,069 feet. The conditions there differ significantly from those in your bathtub. In the Mariana Trench, the water pressure is incredibly high, reaching over 1,000 atmospheres. The temperature is near freezing, ranging from 34-39°F (1-4°C). In contrast, the conditions in your bathtub usually involve much shallower water, lower pressure, and warmer temperatures for a comfortable bathing experience.

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Answer:

The graph goes down (translates) by 5

Transaltes: -5

Step-by-step explanation:

The y intercept has been changed

Complete Question

Lisa needs 18 yards of red, gold, and green fabric to make a quilt.

She bought 6 3/4 yards of red fabric and 4 1/ 3 yards of gold fabric. What is the most accurate estimate for the amount of green fabric Lisa bought?

Answer:

6 11/12 yards

Step-by-step explanation:

The total yards of fabric = Red + Blue + Green

18 = 6 3/4 + 4 1/3 + Green

Green = 18 - (6 3/4 + 4 1/3) yards

Lowest Common Denominator = 12

18 - (10 + ( 3/4 + 1/3) yards

18 - (10 + ( 9 + 4/12) yards

18 - ( 10 + 13/12) yards

18 - ( 10 + 1 1/12) yards

18 - 11 1/12 yards

= 6 11/12 yards

Therefore, the most accurate estimate for the amount of green fabric Lisa bought is 6 11/12 yards

Answer:

a³ + b³

Step-by-step explanation:

(a² - ab + b²)(a + b)

each term in the second factor is multiplied by each term in the first factor, that is

a²(a + b) - ab(a + b) + b²(a + b) ← distribute parenthesis

= a³ + a²b - a²b - ab² + ab² + b³ ← collect like terms

= a³ + b³

Answer: 0.1056

Step-by-step explanation:

Given: Chipotle Burritos are normal distributed with

Mean =  200 mm

Standard deviation = 8 mm

Let x be the length of a random burrito.

The probability that a burrito picked at random is shorter than 190mm will be :

\(P(x<190)=P(\dfrac{x-\mu}{\sigma}<\dfrac{190-200}{8})\\\\=P(z<-1.25)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z<1.25)\\\\=1-0.8944\\\\=0.1056\)

Hence, the probability that a burrito picked at random is shorter than 190mm is 0.1056.

Answer:

100

Step-by-step explanation:

its impossable

The new volume of the cylinder is $100$ cubic feet.

Let the original radius and height of the cylinder be $r$ and $h$, respectively. Therefore, the original volume of the cylinder is given by $\pi r^2 h = 100$. After the radius decreases by $10%$ and the height increases by $10%$, the new radius and height become $0.9r$ and $1.1h$, respectively. The new volume of the cylinder can be calculated as $\pi (0.9r)^2 (1.1h) = 0.891\pi r^2 h$. Since $0.891\pi r^2 h = 100$, the new volume of the cylinder is $100$ cubic feet.

Therefore, the new volume of the cylinder is the same as the original volume, i.e., $100$ cubic fee

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Answer:

8 people

Step-by-step explanation:

3 people to do the job in 16 hours so each of the people will mow 1/3 of the lawn during the 16 hours.

So if was a single person was mowing the lawn would take them 3 times longer 16*3 =48 hours

To mow the lawn in 6 hours will need 48 hours to be split in 6 hours so will get 48/6 = 8 people.

Three labeled points on the line are (-2, -2m), (0, 0), and (2, 2m), where m is the slope of the line.

A line passing through the origin but not contained in any of the three coordinate planes can be represented by the equation y = mx, where m is the slope of the line. Since the line passes through the origin, the y-intercept is 0.

To find labeled points on the line, we can choose different values for x and calculate the corresponding y-values using the equation y = mx. Let's choose three values for x: -2, 0, and 2.

For x = -2:

y = m(-2) = -2m

So, one labeled point on the line is (-2, -2m).

For x = 0:

y = m(0) = 0

Another labeled point on the line is (0, 0).

For x = 2:

y = m(2) = 2m

So, the third labeled point on the line is (2, 2m).

These three labeled points (-2, -2m), (0, 0), and (2, 2m) lie on the line passing through the origin, and they are not contained in any of the coordinate planes.

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Phase 5: The system of implementation is conversion.

Option B is the correct answer.

We have,

Phase 5 of the system development life cycle is commonly referred to as "Conversion" or "Systems Implementation."

During this phase,

The focus shifts from planning and designing the system to actually implementing it.

This phase involves the conversion of the old system to the new system, which includes activities such as data conversion, software installation, hardware setup, user training, and system testing.

The term "Conversion" is used because it signifies the transition from the old system to the new system.

It involves migrating data, processes, and operations from the existing system to the new system.

This phase ensures that the newly developed system is successfully integrated into the organization and becomes fully operational.

Thus,

Phase 5: The system of implementation is conversion.

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Answer:

y=0.5x+1.5

Step-by-step explanation:

fisrt take two of the pints and find the slop using the correct formula. i will use points (6,9) and (3,3) 6-3=3 and 9-3=6 3 divided by 6 is 0.5. zero point five is our slope. now we find the y-interept. i will use the point (3,3). our equation now is 3=0.5x3+b ill take 0.5 and subrat 0.5 from it, to cancel it out and get zero. now i will multiply 3 by 0.5 to get 1.5. now i will subtract 1.5 from 1.5 to cancel it out and get zero. i will now subtract 1.5 from 3 to get 1.5. this is now our y-intercept. lastly we put these numbers into an equation. y=0.5x+1.5

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