20 Points Please Help

Answer:

0.31

Step-by-step explanation:

Answer:

divide 5 by 16

5 divided by 16 = 0.3125

The numerator is the number you always have to divide by the denominator whenever finding the decimal of a fraction.

Answer:

x = A/7

Step-by-step explanation:

Given that the screen is rectangular, recall that the area A of a rectangle whose length is L and width is W is given as

A = L * W

Hence if the width is 7 inches and the length is x inches then the area which is A square inches is connected to both sides as

A = x * 7

Divide both sides by 7

x = A/7 inches

The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.

What is an explicit formula?

The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.

Here, we have

Given:  the sequence 14,16,18,….

First term a₁ = 14

Common difference d = 16 - 14 = 2

Now, plug the values into the above formula and simplify.

aₙ = a₁ + d( n - 1 )

aₙ = 14 + 2( n - 1 )

aₙ = 14 + 2n - 2

aₙ = 14 - 2 + 2n

aₙ = 2n + 12

Hence,  the explicit formula is aₙ = 2n + 12.

To learn more about the explicit formula from the given link

https://brainly.com/question/9859279

#SPJ1

Answer:

1. 7¹⁰

2. 9⁸

Step-by-step explanation:

1. 7 = 7¹

Hence, using the rules of indices..... you would add the exponents when numbers that have the same base are multiplied together.

7⁹⁺¹ = 7¹⁰

2. Add exponents

9²⁺⁶ = 9⁸

The 3rd term of the sequence is 48

From the question, we have the following parameters that can be used in our computation:

an = 6x3 n-1

Rewrite properly

So, we have

a(n) = 6 * (3n - 1)

For the third term, we have n = 3

Substitute the known values in the above equation, so, we have the following representation

a(3) = 6 * (3 * 3 - 1)

Evaluate

a(3) = 48

Hence, the third term is 48

Read more about sequence at

https://brainly.com/question/6561461

#SPJ1

Answer:

5 ≥ d^2 ≤ q

Step-by-step explanation:

let d= # of dimes

let q= # of quarters

hope this is right. does it look familiar?

A Coordinate plane has two perpendicular number lines. The vertical line is the y-axis and the horizontal line is the x-axis. The point of intersection between this line is called "Origin" and it's at the point (0,0).

There are four sections in a Coordinate plane which are called "Quadrants". See the drawing below to see their location in the Coordinate plane:

Having the point:

You can notice that, the x-coordinate is positive and the y-coordinate is also positive. This means that the point (4,1) is located in the QUADRANT I.

Therefore, the answer is: b. I

The cost of Nadine's order was found by multiplying the number of t - shirts she ordered, by their individual cost, and then deducting the value of the coupon.

The order was that Nadine bough4 t - shirts for her class club from a website.

Each of these shirts cost $ 10. 95. But, Nadine gets a coupon of $ 12. 50 to be deducted from the total order.

To find the cost therefore, we can multiply the cost of the shirts and the number of shirt and then deduct the value of the coupon as shown in the formula :

= ( Cost of shirt x Number of shirts ) - coupon

= ( 10. 95 x 4 ) - 12. 50

= $ 31. 30

Find out more on cost at https://brainly.com/question/28398870

#SPJ1

The full question is:

Nadine ordered 4 t-shirts for her class club form a website. Each shirt is $10.95 and Nadine has a coupon for $12.50 off her total order. Write a sentence to describe how you calculated the cost of Nadine's order.

The differential equation of  the amount of a subject memorized in time t > 0 is k. a(t) + da(t)/dt = km, where k is a constant representing the rate  at which a subject is memorized.

Translate the given word problem into an algebraic expression.

Let m be the total amount of a subject to be memorized.

Let  a(t) be the amount memorized in time t > 0.

Let c(t) be the amount that is left to be memorized in time t > 0.

Then,

c(t) = m - a(t)

From the problem, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized. It means:

da(t)/dt = k. c(t),  where k is a constant

da(t)/dt = k. (m - a(t))

k. a(t) + da(t)/dt = km

Hence, the differential equation is k. a(t) + da(t)/dt = km

Learn more about differential equation here:

https://brainly.com/question/18760518

#SPJ4

To find the answer we must compare the values of the functions. Making a table of function g, we have:

x y

-1 -18*((1/3)^(-1))+2 = -52 (Raising 1/3 to the power of -1, multiplying and adding)

0 -18*((1/3)^(0))+2 = -16 (Raising 1/3 to the power of 0, multiplying and adding)

1 -18*((1/3)^(1))+2 = -4 (Raising 1/3 to the power of 1, multiplying and adding)

2 -18*((1/3)^(2))+2 = 0 (Raising 1/3 to the power of 2, multiplying and adding)

We can see that both functions increase in that interval, but function g is increasing at a faster average rate. So, the answer is the option D.

Answer:

Step-by-step explanation:

2590

Answer:

6 gallons and 2 pints

Thank for posting the pic, it makes sense now!

Answer:

5 units

Step-by-step explanation:

We know that Triangles ABC and DEF are similar, therefore their values will be Equal

So , x + 7 + x - 4 = 12 + 5

2x + 3 = 15
2x = 15-3
2x = 12
x = 6

So in Triangle ABC , AC = x + 7 = 6 + 7 = 13
Therefore, by Pythagorean Therom,

BC^2 + AB^2 = AC^2

BC^2 + 144 = 169

BC^2 = 169 -144 =  25

BC = \(\sqrt{25} = 5\)

Hope it helps.

===================================================

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\\)

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

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

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

The radius of curvature of a particle's path in the x-y plane at t=2.2 sec is 94.25 inches, found using velocity and acceleration vectors. Sketch shows velocity and curvature vectors.

To find the radius of curvature rho, we need to first find the velocity vector v and the acceleration vector a at t=2.2 sec.

The position vector of the particle is given by:

r = 1.35t^2 i + 1.22t^3 j

Differentiating this with respect to time t gives the velocity vector:

v = dr/dt = 2.7t i + 3.66t^2 j

Differentiating again with respect to time t gives the acceleration vector:

a = dv/dt = 2.7 i + 7.32t j

Now, to find the radius of curvature rho, we use the formula:

rho = |v|^3 / |a|*sin(theta)

where |v| is the magnitude of the velocity vector, |a| is the magnitude of the acceleration vector, and theta is the angle between v and a.

At t=2.2 sec,

|v| = |2.7(2.2) i + 3.66(2.2)^2 j| = 11.209 in/sec

|a| = |2.7 i + 7.32(2.2) j| = 16.416 in/sec^2

theta = angle between v and a

To find theta, we can use the dot product:

v . a = |v| |a| cos(theta)

cos(theta) = (v . a) / (|v| |a|)

cos(theta) = (2.7)(2.7) + (3.66)(2.2)^2 / (11.209)(16.416)

cos(theta) = 0.503

theta = cos^-1(0.503) = 1.042 radians

Substituting these values into the formula for rho, we get:

rho = (11.209)^3 / (16.416)(sin(1.042))

rho = 94.25 in

Therefore, the radius of curvature of the path for the position of the particle when t=2.2 sec is 94.25 inches.

To sketch the velocity vector v and the curvature of the path at this instant, we can draw the vectors at the position of the particle for t=2.2 sec. The velocity vector v has a magnitude of 11.209 in/sec and is directed at an angle of approximately 67 degrees above the x-axis. The curvature vector points towards the center of curvature of the path and has a magnitude of 1/rho.

know more about curvature vectors here: brainly.com/question/31032113

#SPJ11

Thus, the integral of xe^yds on the circle from (2,0) to (5,4) is equal to 207/8 e^4 - 23/8.

To solve this problem, we will use the line integral formula:
∫(P dx + Q dy) = ∫(P(x,y) dx + Q(x,y) dy)

where P and Q are the x and y components of the vector field F(x,y) = (xe^y, 0).

First, we need to parameterize the given circle. We can do this by using the parametric equations:

x = 2 + 3t
y = 4t

where 0 ≤ t ≤ 1.

Next, we can compute the differential ds:

ds = √(dx^2 + dy^2) = √(9 + 16) dt = 5 dt

Now, we can substitute the parametric equations and ds into the line integral formula:

∫(P dx + Q dy) = ∫(xe^y dx) = ∫(xe^y dx/dt dt) = ∫((2+3t)e^(4t) 3 dt)

Evaluating the integral gives:

∫(xe^yds) = ∫((2+3t)e^(4t) 3 dt) = 207/8 e^4 - 23/8

Therefore, the integral of xe^yds on the circle from (2,0) to (5,4) is equal to 207/8 e^4 - 23/8.

Know more about the vector field

https://brainly.com/question/31400700

#SPJ11

The option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

In the given question, a group of adult males has foot lengths with a mean of 26.84 cm and a standard deviation of 1.29 cm.

We have to find the adult male foot length of 23.8 cm significantly low or significantly​ high.

According to thumb rule, a value is significantly low if it is 2 standard deviations below mean and significantly high if it is 2 standard deviations above mean

Mean = 26.84 cm

Standard deviation = 1.29 cm

Significantly low value = 26.84 - 2*1.29 = 24.26 cm

Significantly high value = 26.84 + 2*1.29 = 29.42 cm

Significantly low values are 24.26 cm or lower.

Significantly high values are 29.42 cm or higher.

The adult male foot length of 23.8 is lower than the significant low value of 24.26.

So the option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

To learn more about thumb rule link is here

brainly.com/question/607952

#SPJ4

Answer:

$927.113

Step-by-step explanation:

50-7=43

43×18.94=814.42

100-15=85

100%=18.94

what about 85%

85×18.94=1609.9÷100=16.099

16.099×7=112.693

814.42+112.693= 927.113

The given summation can be expanded as a series of terms, where each term is the product of two factors: one factor consists of the index variable, i or k+1, and the factorial i! or (k+1)!. The other factor consists of the sum of the first i or k terms of the corresponding factorial sequence, i.e., 1(1!), 2(2!), 3(3!), and so on.

Because i in the first term runs from 1 to k, the total is made up of the first k terms of the i! sequence multiplied by the appropriate value of i. Because k is the sole index variable in the second term, the total is composed of the first k terms of the k! sequence multiplied by each matching value of k.

The following terms have i ranging from k+1 to the summation's ultimate value, and the total is made up of the first i-1 terms of the i! sequence multiplied by each corresponding value of i. The first component, (k+1)!, accounts for the terms not included in the first two terms in the prior summations.

Overall, the summation represents a combination of factorials and their corresponding sum sequences, with the index variables determining the range of terms to include in each sum.

To learn more about summation, visit:

https://brainly.com/question/30931273

#SPJ11

Answer:

Option D, 4

Step-by-step explanation:

2 pizzas x 6 slices per pizza = 12 slices of pizza

12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend

Option D, 4, is your answer

Write an equation of the line with the given slope and y -intercept. Use slope-intercept form. Then rewrite the equation in standard form. m=3, b=-7

How to write the equation in slope-intercept form?

Given:

m=3(slope)

b=-7(y -intercept)

The slope-intercept form is given by,

y=mx+b

y=3x-7

Thus, y=3x-7 is the slope-intercept form.

How to rewrite the equation in standard form?

Standard form is given by,

Ax+By=C

Since, slope-intercept form is y=3x-7

⇒3x-y=7

Thus,3x-y = 7  is the standard form.

To learn more about slope, refer:

brainly.com/question/16949303

#SPJ4

Hello! :)

15 - 2x = 3x Simplify both sides of the equation

15 - 2x = 3x

-2x + 15 =3x

-2x + 15 - 3x  = 3x -3x Subtract 3x from both sides

-5x + 15 = 0

-5x + 15 - 15 = 0 - 15 Subtract 15 from both sides

-5x = -15

- 5x/-5 = -15/-5

x = 3 (ANSWER)

Hope this helped you

THEDIPER

Answer: 4=X

Step-by-step explanation:

You divide 4x by itself, and divide 16 by 4x leaving you with X and 4 (I'm pretty sure)

Answer:

x=2,-2

Step-by-step explanation:

first you subtract x^4 from both sides

second subtract 16  from both sides

third Divide both sides by -1

fourth take root.

Answer:

200$

Step-by-step explanation:

calculator

The graph of the given equation is attached below.

The equation of a line in slope-intercept form is expressed as y = mx + b.

Given an xy plane, we are to plot the graph of the given equation

y = -2/3 x + 1

The given equation has a slope of -2/3 and a y-intercept of 1. This shows that the constructed line must cut the y-axis at the point (0, 1).

The graph of the equation is attached below.

Learn more on line graph here: https://brainly.com/question/26233943

#SPJ1

Chad's family should go with the B-Mobile family plan to save money on their phone bill.

To find the best deal for Chad's family, we need to compare the cost of the two family plans for 4 cell phone lines.

At A-Mobile, the cost for 4 lines would be:

$19 (for the first two lines) + $7 (for the third line) + $7 (for the fourth line) = $33

At B-Mobile, the cost for 4 lines would be:

$15 (for the first two lines) + $8 (for the third line) + $8 (for the fourth line) = $31

So, the best deal for Chad's family would be to go with the B-Mobile family plan, as it would cost them $31 instead of $33. By going with the B-Mobile plan, Chad's family would save $2 compared to the A-Mobile plan.

Learn more about price dealing at https://brainly.com/question/13445248

#SPJ11