Marianne is completing a 4-mile route for
charity. Every io mile is marked along the
route. For each mile, she runs 7 mile and
walks mile. How many miles does
Marianne run?

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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P(140 < x < 150) is 0.1915 when x is normally distributed with mean 140 and standard deviation 20.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value

μ = mean = 140

σ = standard deviation = 20

z-score(x = 140) = (140 - 140) / 20

z-score(x = 140) = 0

z-score(x = 150) =(150 - 140) / 20

z-score(x = 150) = 0.5

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score = 0   probability = 0.5000

z-score = 0.5   probability = 0.6915

This means that there's a probability of 0.500 and 0.6915 that the value of x is less than 140 and 150, respectively.

P(140 < x < 150) = 0.6915 - 0.5000 = 0.1915

Therefore, the probability that the value of x is between 140 and 150 is 0.1915.

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Step-by-step explanation:

which part of the question do you need

The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

Recall the compounding formula:

A = P * \(e^{rt}\)

Where:

A = Final amount in the account

P = Initial principal (deposit)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (as a decimal)

t = Time in years

Given:

Initial principal (P) = $16,000

Annual interest rate (r) = 2%  = 0.02

time (t) = 4 years.

Substitute these values into the formula, we get:

A = $16,000 * \(e^{0.02 * 4}\)

Using a calculator, we can calculate:

A = $16,000 * \(e^{0.08}\)

A = $16,000 * 1.0833

A = $17,332.8

Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

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Answer:

155/20

Step-by-step explanation:

155/20 in decimal form is 7.75, which is only 0.25 off of 8

7.511 is 0.489 off of 8

8.3% is technically not anywhere near 8 because a percentage needs to be a percentage of something in order to make sense.

Answer:

yes

Step-by-step explanation:

hdghbjfbfcuvf ug iifibibibibcrtctcitbiutbuhucihihtv

Answer:

b

Step-by-step explanation:

each half is 50%

2 + 1/2 = 250%

The fraction equivalent to 250% is 5/2.

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction. To change the percentage to a fraction, put the percentage number in the numerator and 100 in the denominator.

Given that, Which numbers are equivalent to 250%

Converting 250% into fraction by put the number in the numerator and 100 in the denominator.

250/100 = 25/10

= 5/2

Hence, the number is 5/2

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Answer:

x=4,-3

Step-by-step explanation:

Find the roots of  0 = x ^2 − x − 12  by solving for  x .

Answer:

3 zeros

Step-by-step explanation:

Answer: this is a acute triangle

Step-by-step explanation: acute triangle angles are all less than 90°

Answer:

in geometry, a circle is the curve that forms the boundary of a disc. Curves, like lines, have zero width and thus zero area.

For some reason, this very simple thing doesn’t seem to be taught much - I certainly recall my maths teachers referring to the area of a circle instead of the area of a disc!

As you haven’t mentioned the radius of the circle, let us consider a generic circle of radius r, thus we want to find the height of a triangle whose area is πr².

Step-by-step explanation:

Answer:

2hrs 30 mins

Step-by-step explanation:

if the buoy Is 12 up and 16 right than you can use Pythagorean theorem

a²+b²=c²

144+256=c²

400=c²

√400=√c²

20=c

20/8=2.5

2 hrs 30 mins

ANSWER :

D. 2 imaginary, 2 real

EXPLANATION :

From the problem, we have :

Using synthetic division :

Let's test x = -6 which is a factor of 36

The coefficients are 1, 12, 37, 12 and 36

The operations performed are addition (bring down 1) then multiply it by the divisor :

1(-6) = -6 and write it below the next term and so on and so forth.

Since the last result is 0, we can say that -6 is a factor of the polynomial.

The polynomial now will be :

Factor the second parenthesis by grouping :

The polynomial now will be :

To check the roots, equate the factors to 0.

So there are 2 real and 2 imaginary roots

The total distance covered by Jeremy is 1320 m

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

For sapling 1 = No distance is covered.

For sapling 2, distance covered = 10 m

Return distance=10 m

For sapling 3, distance covered =20 m

Return distance=20 m and so on

Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...

Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12

Total distance covered = 122 [2(0) + (12 − 1) 20 ]

Total distance covered = 6 (11)(20) = 1320 m

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Complete question:

There are 12 saplings to be planted in a straight line at an interval of 10 m between

two consecutive saplings. Jeremy can carry only one sapling at a time and he has to

come back to the original point to take the next sapling. He plants 12 saplings in this

manner, planting the first sapling at the original point. After planting all the saplings,

he comes back at the original point,

In the process, what is the total distance that Jeremy covers?

​

Answer:

35

Step-by-step explanation:

Multiply each side of ABC by 5 to get the values of PQR

Answer:

15.20

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The vector function that represents the curve of intersection is: r(t) = [x(t), y(t), z(t)] =\([t, 4t^2, 5t^2 + 32t^4]\)

To find a vector function that represents the curve of intersection between the paraboloid and the cylinder, we need to express the coordinates (x, y, z) in terms of a parameter t.

Let's start by expressing the cylinder equation in terms of x and y:

y =  \(4x^2\):

We can rewrite this as:

y - 4x^2 = 0

Now, we'll substitute this expression for y in the equation of the paraboloid:

z =\(5x^2 + 2y^2\)

Replacing y with \(4x^2\):

\(z = 5x^2 + 2(4x^2)^2\\z = 5x^2 + 32x^4\)

Now we have the equations for x and z in terms of t:

x = t

z = 5t^2 + 32t^4

To obtain the y-coordinate, we substitute the x value into the equation of the cylinder:

y =  \(4x^2\):

y =\(4t^2\)

Therefore, the vector function that represents the curve of intersection is: r(t) = [x(t), y(t), z(t)] =\([t, 4t^2, 5t^2 + 32t^4]\)

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The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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The solution of the inequality by method of interval is x = [5,∝) and x = [-2,0]∪[8,-∝).

The first inequality is (x² - 25)/(x + 10) ≥ 0

⇒ x² - 25 ≥ 0

⇒ x² ≥ 25

∴ x ≥ 5

Thus the domain of the given inequality from method of interval is x = [5,∝).

The second inequality is (x + 2)(x² - 64)/(x² + 45) ≤ 0

⇒ (x + 2)(x² - 64)≤ 0

Either (x + 2)≤ 0 or (x² - 64)≤ 0

Either x ≤ -2 or x ≤ 8

Thus , the combined domain of the given inequality from method of interval is x = [-2,0]∪[8,-∝) .

Therefore, the solution of the inequality by method of interval is x = [5,∝) and x = [-2,0]∪[8,-∝).

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Answer:

B.

Step-by-step explanation:

233% = 2.33

2 2/3 = 2.6

All work and the answer is provided in the screenshot that is attached! :)

Have a great day!

A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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Answer: 12

Step-by-step explanation: .2 * 60 = 12

Answer:  0.33333 (Rounded to fifth decimal place)

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

80+82+83+91+89 = 425

425/5 = 85

Answer:

There are an infinite number of solutions

The system represents coincident lines

Explanation:

Here, we want to solve the system of linear equations by elimination

We start by rearranging the second equation to look like the first:

Now, if we divided the second equation by 2, we will have:

What this means is that the first and second equations are the same

The lines are coincident. What this means is that when plotted, the lie above one another

This kind of system would thus have infinite number of solutions

Area of that circular shaped object is given by:

Where:

r = 9ft

π = 3.14

Then, substitute the values:

Next, we have that 1 m = 3.2808 ft therefore:

Solve:

Round to the nearest hundredth is 23.63 m^2

Answer: 23.63 m^2

Answer:

1. x=3

2. x= -98

3. x=13/7

4. x= -7/2

5. x=4

Step-by-step explanation:

The area of the rectangle is 1296 square feet.

Let's denote the width of the rectangle as "w" and its length as "4w" since the length is four times the width.

The formula for the perimeter of a rectangle is given by:

P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Given that the perimeter of the rectangle is 180 ft, we can write the equation as:

180 = 2(4w + w)

Simplifying the equation:

180 = 2(5w)

180 = 10w

w = 18

So, the width of the rectangle is 18 ft.

Now, we can find the length of the rectangle:

Length = 4w = 4(18) = 72 ft

The area of a rectangle is given by the formula:

\(A = l \times w,\)

where A is the area,

l is the length,

and w is the width.

Substituting the values we found:

Area \(= 72 ft \times 18 ft = 1296 ft^2\)

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The average velocity (in m/s) over the given time intervals is [1,2]

Part A.

Keep in mind that the formula for average velocity is

(Y2 - Y1)/V avg = displacement/time interval (t2 - t1)

Given that the rock's position at time t is determined by:

y = 16t - 1.86*t^2

Part 1

for the time period [1, 2]

Y1 = 16*1 - 1.86*12 = 14.14 m when t1 = 1 sec.

Y2 = 16*2 - 1.86*22 = 24.56 m when t2 = 2 sec.

So

average Velocity = (24.56 - 14.14)/(2 - 1) (2 - 1) = 10.42 m/s V avg

Part 2.

for the time period [1, 2]

Y1 = 16*1 - 1.86*12 = 14.14 m when t1 = 1 sec.

Y2 = 16*1.5 - 1.86*1.52 = 19.815 m when t2 = 1.5 sec.

So,

average Velocity  = (19.815 - 14.14)/(1.5 - 1) (1.5 - 1) = 11.35 m/s V avg

Part 3.

During the period [1, 1] .1]

Y1 = 16*1 - 1.86*12 = 14.14 m when t1 = 1 sec.

Y2 = 16*1.1 - 1.86*1.12 = 15.3494 m when t2 = 1.1 sec.

So,

average Velocity  = (15.3494 - 14.14)/(1.1 - 1) (1.1 - 1)

average Velocity = 12.094 m/s and equals 12.09 m/s (In two decimal places)

Part 4.

During the period [1, 1] .01]

Y1 = 16*1 - 1.86*12 = 14.14 m when t1 = 1 sec.

Y2 = 16*1.01 - 1.86*1.012 = 14.262614 m when t2 = 1.01 sec.

So,

average Velocity = (14.262614 - 14.14)/(1.01 - 1) (1.01 - 1)

12.26 m/s and V avg = 12.2614 m/s (In two decimal places)

Part 5.

During the period [1, 1] .001]

Y1 = 16*1 - 1.86*12 = 14.14 m when t1 = 1 sec.

Y2 = 16*1.001 - 1.86*1.0012 = 14.15227814 m when t2 = 1.001 sec.

So,

average Velocity = (14.15227814 - 14.14)/(1.001 - 1) (1.001 - 1)

12.28 m/s V avg = 12.27814 m/s (In two decimal places)

Part B.

Rock's immediate velocity will be determined by:

d[16t - 1.86t2]/dt = V= dy/dt

Velocity = 16*1 - 2*1.86*t

time = 1 second,

Velocity = 16 - 2*1.86*1

average velocity at time t is equal to V = 12.28 m/s.

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Kyle's systolic pressure is 1.75 standard deviations higher than the male average for systolic pressure Kyle's blood pressure : 149.5

What is blood pressure?
Blood pressure (BP) is the force exerted by moving blood against blood vessel walls. The heart's action of pumping blood through the blood vessels is largely responsible for this pressure. The pressure in the major arteries is meant when the term "blood pressure" is used without qualification. Systolic pressure, or the highest pressure during one heartbeat, is typically expressed as the ratio of diastolic pressure, or the lowest pressure between two heartbeats, in blood pressure measurements. It is expressed as a millimetre of mercury (mmHg) above the atmospheric pressure in the immediate vicinity.

The z-score of a measure X in a set with mean and standard deviation is given by:

Z = (X - μ) / σ

The Z-score calculates the deviation of the measure from the mean in standard deviations. We look at the z-score table after determining the Z-score to determine the p-value connected to it. The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure exceeds X is calculated by deducting 1 from the p-value.

This issue involves that:
μ = 125
σ = 14
The z-score for Kyle's systolic blood pressure is 1.75, according to his physician.
He therefore has a 1.75 standard deviations higher systolic blood pressure than the mean.

Which of the following best describes how this standardized score should be interpreted?

Kyle's systolic pressure is 1.75 standard deviations higher than the male average for systolic pressure.

Calculate Kyle's blood pressure in part (b). (Enter a precise quantity as a decimal, fraction, or integer.)
If Z = 1.75, then this is X.

Z = (X - μ) / σ

1.75 = (X - 125) /  14

1.75 x 14 = (X - 125)

24.5 = X - 125

X = 24.5 + 125

X = 149.5

Hence, a) Kyle's systolic pressure is 1.75 standard deviations higher than the male average for systolic pressure.

b) Kyle's blood pressure is 149.5

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