Marcy walked 3 7/10 miles on Saturday and Sunday she walked 0.25 more miles than she did on Saturday how many total miles did she walk over the weekend. Pls.



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It’s math



B

(a) To calculate the permeate composition, yp, we can use the formula:

yp = (P * x * (Ph - p₁) * t * 0) / (q * (Ph - p₁) + P * x * t * 0)

Given:

x = 0.5 (mole fraction of gas A)

Ph = 80 cm Hg (feed-side pressure)

p₁ = 20 cm Hg (permeate-side pressure)

P = 400 x 10^(-10) cm³(STP) cm/(s cm² cm Hg) (permeability)

t = 2 x 10³ cm (membrane thickness)

0 = 0.25 (fraction of feed permeated)

q = feed flow rate (to be determined)

Substituting the given values into the formula:

yp = (400 x 10^(-10) * 0.5 * (80 - 20) * 2 x 10³ * 0) / (q * (80 - 20) + 400 x 10^(-10) * 0.5 * 2 x 10³ * 0)

Since 0 * anything equals zero, we can simplify the formula to:

yp = 0

Therefore, the permeate composition, yp, is zero.

(b) To calculate the reject composition, xo, we can use the formula:

xo = 1 - yp

Since we found in part (a) that yp = 0, we can conclude that:

xo = 1 - 0

xo = 1

Therefore, the reject composition, xo, is 1.

(c) To calculate the feed flow rate, q, we can rearrange the formula from part (a) and solve for q:

q = (P * x * (Ph - p₁) * t * 0) / (yp * (Ph - p₁) + P * x * t * 0)

Substituting the given values into the formula:

q = (400 x 10^(-10) * 0.5 * (80 - 20) * 2 x 10³ * 0) / (0 * (80 - 20) + 400 x 10^(-10) * 0.5 * 2 x 10³ * 0)

Again, since 0 * anything equals zero, we can simplify the formula to:

q = 0

Therefore, the feed flow rate, q, is zero.

In conclusion:

(a) The permeate composition, yp, is zero.

(b) The reject composition, xo, is 1.

(c) The feed flow rate, q, is zero.

Please note that the calculations resulted in a feed flow rate of zero, which may suggest an inconsistency in the given values or equations. Double-checking the values and equations is recommended to ensure accuracy.

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The circumference of a circle with radius 7 is 14π, which is also equal to the arc length of the parametric curve representing the circle.

(a) Using the normal circumference formula, the circumference C of a circle with radius r is given by:

C = 2πr.

Substituting the radius value of 7 into the formula, we have:

C = 2π(7)

= 14π.

Therefore, the circumference of a circle with radius 7 is 14π.

(b) To prove the answer from part (a) using the arc length formula for parametric curves, we can use the given parametric equations for the circle with radius 7:

x = 7cos(t),

y = 7sin(t),

where 0 ≤ t ≤ 2π.

The arc length formula for parametric curves is given by:

L = ∫[a,b] √\([ (dx/dt)^2 + (dy/dt)^2 ] dt,\)

where [a,b] represents the interval of integration.

In this case, the interval is 0 ≤ t ≤ 2π, so the arc length formula becomes:

L = ∫[0,2π] √\([ (dx/dt)^2 + (dy/dt)^2 ] dt.\)

Taking the derivatives of x and y with respect to t:

dx/dt = -7sin(t),

dy/dt = 7cos(t).

Substituting these derivatives into the arc length formula:

L = ∫[0,2π] √\([ (-7sin(t))^2 + (7cos(t))^2 ] dt\)

= ∫[0,2π] √\([ 49sin^2(t) + 49cos^2(t) ] dt\)

= ∫[0,2π] √\([ 49(sin^2(t) + cos^2(t)) ] dt\)

= ∫[0,2π] √[ 49 ] dt

= ∫[0,2π] 7 dt

= 7t ∣[0,2π]

= 7(2π - 0)

= 14π.

Therefore, the arc length of the parametric curve representing the circle with radius 7 is 14π, which matches the circumference obtained from the normal circumference formula in part (a).

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The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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Answer:

50 degrees

Step-by-step explanation:

By the Law of Cosines,

6² = 7.5² + 6.5² - 2(6.5)(7.5)cos C

6² - 7.5² - 6.5² = -2(6.5)(7.5)cos C

-62.5 = -97.5 cos C

cos C = (-62.5)/(-97.5) = 25/39

C = arccos(25/39), which is about 50°

The approximate arc length of one slice of pic is 5.24 inches according to the circle circumference.

Let us assume that the pic is equally cut into 6 pieces. Also given that the diameter of the pie is 10 inches.

Diameter (D)=10.

So the radius will be D/2.

Radius (R)=10/2=5.

The pie's circumference is given by:

C=2πR

C=2π*5

C= 10π (in)

Because the pie is divided into six pieces, the circumference of the pie is divided into six equal-length arcs. So,

Length of Arc (L)= 10π/6

L = 5π/3

L= 5(3.14)/3

L=5.234=5.24

Therefore the approximate arc length of one slice of pie is 5.24 inches.

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(a) Isla's trading cards are 125% of Lily's trading cards.

(b) Lily's trading cards are 80% of Isla's trading cards.

Given that,

There are 225 trading cards and Lily has 180 trading cards.

To calculate the percentage of Isla's trading cards compared to Lily's,

We can use this formula:

⇒ Isla's trading cards / Lily's trading cards x 100%

Plugging in the values we get:

⇒ (225 / 180) x 100% = 125%

Therefore,

Isla's trading cards are 125% of Lily's trading cards.

b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:

⇒ Lily's trading cards / Isla's trading cards x 100%

Plugging in the values we get:

(180 / 225) x 100% = 80%

Therefore,

Lily's trading cards are 80% of Isla's trading cards.

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The future value (A) is approximately 5610.2 for the given investment and annu $4000 for 5 years at 7% compounded annually

To find the compound amount and compound interest rate for the given investment, we can use the formula for compound interest:

(a) The compound amount in the account after 5 years can be calculated using the formula:

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

Where A is the compound amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Given that the principal (P) is $4000, the interest rate ® is 7%, and the interest is compounded annually (n = 1), and the investment is for 5 years (t = 5), we can plug these values into the formula:

A = 4000(1 + 0.07/1)^(1*5)

A = 4000(1 + 0.07/1)^(1*5)

= 4000(1 + 0.07)^(5)

= 4000(1.07)^(5)

≈ 4000(1.402551)

≈ 5610.20

Therefore, the future value (A) is approximately 5610.2

Calculating this expression will give us the compound amount after 5 years.

(b) The compound interest earned can be calculated by subtracting the principal from the compound amount:

Compound interest = Compound amount – Principa

This will give us the total interest earned over the 5-year period.

By evaluating the expressions in (a) and (b), we can determine the compound amount and the compound interest earned for the given investment.

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Answer:

6.4

Step-by-step explanation:

All ways:

Exact form:

32/5

Decimal Form:

6.4

Mixed Number Form:

6 2/5.

CANNOT BE SIMPLIFIED IN ANY WAY

Even though this relationship is proportional, not all of these ratios are equal.

Verify that the ratios provided are equal. The ratios of 3:5 and 15:25 are both equal. Because the first ratio 3: 5 can be derived by multiplying the ratio 15: 25 by 5 on both the numerator and denominator. The initial ratio of 3: 5 can be multiplied by 5 to get the ratio 15: 25, and vice versa.

This indicates that you would require an 8 fl oz can (a quarter of a quart) of Part B if you were ordering a quart of Part A. You will have 1.25 after combining Parts A and B.

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The measure of angle 1 is 50 degrees

The measure of angle 2 is 40 degrees

The measure of angle 3 is 40 degrees

The measure of angle 4 is  100 degrees

The measure of angle 5 is 40 degrees

The shapes formed are triangles. A triangle is a three-sided polygon. The sum of the angles is a triangle is 180 degree. A right triangle is a triangle in which one of its angle measure 90 degrees. An isosceles triangle has two opposite sides of equal lengths and equal angles.

1 = 180 - 130 = 50 degrees (this is because angle on a straight line is equal to 180 degrees)

2 = 180 - 90 - 50 = 40 degrees (this is because sum of angles in a triagnle is equal)

3 = 40 degrees ( this is because alternate angles are equal)

5 = 40 degrees ( this is because the triangle is an isosceles triangle)

4 = 180 - 40 - 40 = 100 degrees

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Answer:

yes because 0.5 is 50%

Step-by-step explanation:

Answer:

x = 17.74 cm

Step-by-step explanation:

tan 29 = x/32

0.5543 = x/32

x = 17.74 cm

Answer:

17.74  to 2 dp.

Step-by-step explanation:

tan 29 = x/32

x = 32 tan 29

= 17.7379.

Answer:

Step-by-step explanation:

Answer:

11/50

22 percent = 22/100

22/100=11/50

11 is prime and can't be simplified

Step-by-step explanation:

Answer:11/50

Step-by-step explanation:22/100 and then simplify to 11/50

The cost of the case of air fresheners is $33.25.

Let the cost of the case of air fresheners be represented by the variable a.

Then, the cost of 5 buckets is 5 times $2.89, or 5 x 2.89 = $14.45.

The cost of 10 brushes is 10 times $7.91, or 10 x 7.91 = $79.10.

The cost of 48 towels is 48 times $0.36, or 48 x 0.36 = $17.28.

The total cost of the purchases, including the case of air fresheners, is $144.08.

Therefore, we can write the equation:

14.45 + 79.10 + 17.28 + a = 144.08

Simplifying the left side of the equation, we get:

110.83 + a = 144.08

Subtracting 110.83 from both sides of the equation, we get:

a = 33.25

Therefore, the cost of the case of air fresheners is $33.25.

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Reason:

The only even prime number is 2. The other primes are odd.

The list of the first few primes are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43

A prime is any number that has factors of 1 and itself, and nothing else.

For instance, 13 is prime because 1 and 13 are the only factors.

-----------

As you can see, if we want a two digit prime number, then the units digit must be odd. Otherwise, 2 is a factor making it not prime (aka composite).

So far we see that the units digit is 1, 3, 5, 7, or 9. But wait, if 5 is the units digit then 5 is a factor. Eg: 5 is a factor of 35 since 5*7 = 35. Refer to the divisibility by 5 rule.

So we reduce the list of choices to 1, 3, 7, 9 for the units digit.

Unfortunately 9 is not in the list of original numbers given, so we can't use it. We really have 1, 3, or 7 as our choices to form the units digit of the two-digit number.

-----------

Let's try to build some primes.

Pick the smallest odd number 1 as the units digit. Then pick 2 as the tens digit. The number 21 is composite because 21 = 7*3, so we rule it out.

On the other hand, 31 is prime since only 1 and 31 are factors.

The problem is that now "3" is tied up and cannot be used for another prime. The good news is that 41 is prime and that's what I'll go with.

Cross 1 and 4 off the list.

The next odd number is 3 which is our units digit. The value 23 is prime.

So far we have 41 and 23 as our two primes.

Like mentioned earlier, we cannot use 5 as the units digit. The number 57 is not prime because 57 = 19*3. So we'll skip over 5.

The number 67 is prime for similar reasoning mentioned earlier.

------------

We have these primes: 41, 23, 67

The next number either 58 or 85 isn't prime

This is one way to show an example of why we're only able to get 3 primes out of this.

Answer:

x = -5

Step-by-step explanation:

50 = x+55

50 - 55 = x

-5 = x

A chi-square goodness-of-fit test would be an appropriate procedure to justify the claim that one geographical location has a higher proportion of dogs that shed than another geographical location has. This can be done by comparing the proportion of dogs that shed in the two independent random samples from the two different geographical locations.

To do this, you would use the chi-square statistic to compare the observed proportions to the expected proportions. If the chi-square statistic is statistically significant, this would indicate that the proportions of dogs that shed differ between the two geographical locations.
On the other hand, a chi-square goodness-of-fit test would not be appropriate to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. In this scenario, a different statistical test such as a binomial test should be used instead.

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Answer:

the solutions are where the parabola crosses the x-axis; therefore, if the parabola does not cross the x-axis then the solutions can be considered to be imaginary (for example, the square root of a negative)

Step-by-step explanation:

SS₁ is approximately 291.6. To calculate SS₁, we need to use the formula: where s1 is the sample standard deviation for sample 1.

SS₁ = (n1 - 1) * s1²

where s1 is the sample standard deviation for sample 1.

We are given n₁= 11, df₁ = 10, df₂ = 20, s₁ = 5.4, and SS₂ = 12482. To find SS1, we first need to find the pooled variance, which is:

s²= ((n1 - 1) * s1² + (n₂- 1) * s2²) / (df₁+ df₂)

where s₂ is the sample standard deviation for sample 2. We are not given s₂, but we can find it using the formula:

s2² = SS₂ / (n₂- 1)

Plugging in the values, we get:

s2² = 12482 / (21 - 1) = 624.1

Taking the square root, we get:

s₂ ≈ 25.0

Now we can find the pooled variance:

s²=  (n1 - 1) * s1² + (n2 - 1) * s2² ) / (df1 + df2) =  (11 - 1) * 5.4²+ (21 - 1) * 25.0² ) / (10 + 20) = 577.617

Finally, we can find SS₁:

SS₁ = (n₁ - 1) * s1²= 10 * 5.4² = 291.6

Therefore, SS₁ is approximately 291.6.

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Answer:

3150 feet for both

Step-by-step explanation:

correct?

C

Step-by-step explanation:

hope this helps

The slope is  -4.

The equation of the line in the form y = mx + b is y = -4x - 5/4

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

\((x_{1}, y_{1} )=\) ( 1/4, -9/4)

\((x_{2}, y_{2} )=\)( 1/3, -31/12)

Use the formula below to find slope:

m = \(( y_{2} - y_{1} )/ ( x_{2} - x_{1} )\)

we get m = -4

use any one point as (x, y) substitute in the formula y=mx+b  to find b:

(x, y)  =  ( 1/4, -9/4)

we get b = -5/4

So, the equation of the line in the form y = mx + b is y = -4x - 5/4

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Answer:

6

Step-by-step explanation:

y=x-2

4=x-2

x=6

Answer:

$6.80

Step-by-step explanation:

1.79 x 3.8 = 6.802

So $6.80

\(2x \times x + 2x \times 5 - 9 \times x - 9 \times 5\)

\( {2x }^{2} + 10x - 9x - 45 \)

\( {2x}^{2} + x - 45 \)

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

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\(\boxed{x=14}\)

Reorder the terms:

\(-9 + 2x = 5 + x\)

Solving

\(-9 + 2x = 5 + x\)

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

\(-9 + 2x + -1x = 5 + x + -1x\)

Combine like terms: \(2x + -1x = 1x\)

\(-9 + 1x = 5 + x + -1x\)

Combine like terms: \(x + -1x = 0\)

\(-9 + 1x = 5 + 0\\-9 + 1x = 5\)

Add '9' to each side of the equation.

\(-9 + 9 + 1x = 5 + 9\)

Combine like terms: \(-9 + 9 = 0\)

\(0 + 1x = 5 + 9\\1x = 5 + 9\)

Combine like terms: \(5 + 9 = 14\)

\(1x = 14\)

Divide each side by '\(1\)'.

\(x = 14\)

Simplifying

\(x = 14\)

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Have a great day/night!

❀*May*❀

Answer:

∠ ABC ≈ 78°

Step-by-step explanation:

using the Cosine rule in Δ ABC

cos ABC = \(\frac{a^2+c^2-b^2}{2ac}\)

where a is the side opposite ∠ A , b is the side opposite ∠ B and c the side opposite ∠ C

here a = BC = 6 , b = AC = 7 and c = AB = 5 , then

cos ABC = \(\frac{6^2+5^2-7^2}{2(6)(5)}\) = \(\frac{36+25-49}{60}\) = \(\frac{12}{60}\) , then

∠ ABC = \(cos^{-1}\) ( \(\frac{12}{60}\) ) ≈ 78° ( to the nearest degree )

Answer: 4 oranges, 2 bananas, and 1 papaya

Step-by-step explanation:

because there are twice as many oranges as bananas and 7 total fruit so 4 is the max amount of oranges you can have which leaves 2 bananas and 1 left over which is the papaya. Then to check work plug in the amount of fruit times their price which totals $5.25.

Answer:-2.52

Step-by-step explanation:

-4.2*0.6=-2.52

9514 1404 393

Answer:

  2. D

  3. B

  4. D

  5. A

Step-by-step explanation:

2. Write the ratio using the given words, then fill in the corresponding numbers. Factor out the greatest common factor.*

  soccer players : volleyball players = 84 : 36 = 12·7 : 12·3 = 7 : 3

__

3. The angle bisector has angle marks on either side of it. The only angle marks are at angle G, where GL is the bisector.

__

4. The median is drawn from a vertex to the midpoint of the opposite side. The only side with a midpoint marked is IG with midpoint J. The median is HJ.

__

5. An altitude is drawn from a vertex to the opposite side, where it meets at right angles. Two right angles are shown: at J and at K. The perpendicular line at J does not meet any vertex. The perpendicular line at K meets vertex I, so KI is the altitude.

_____

* For larger numbers, or ones whose factors you aren't familiar with, it can be useful to know Euclid's method for finding the greatest common factor (GCF). Divide the larger number by the smaller and keep the remainder. If the remainder is 0, the smaller is the GCF. If not, replace the larger number with the remainder and repeat.

Here, that looks like ...

  84 / 36 = 2 r 12

  36 / 12 = 3 r 0 . . . . . 12 is the GCF