PLEASE HELP ME ASAP! BEING TIMED
If the tens digit of a number is 4 times the units digit and the hundreds digit is twice the tens digit, is the number even or odd?

Answers

Answer 1

The number is 841

So we can see that the number is odd.

Is the number even or odd?

Here we have a 3-digit number that can be written as:

a*100 + b*10 + c

Here we know that:

"the tens digit of a number is 4 times the units digit"

b = 4*c

"the hundreds digit is twice the tens digit"

a = 2*b

Now, remember that a, b, and c, are numbers on the set {0, 1, ..., 8, 9}

And if we replace the first equation into the second, we get:

a = 2*(4*c) = 8*c

Now, the only value of c that we can use such that a is a single digit whole number is c = 1

(if c = 0, then our number is zero)

a = 8*1 = 8

b = 4*1 = 4

c = 1

The number is 841

So we can see that the number is odd.

If you want to learn more about odd numbers:

https://brainly.com/question/543861

#SPJ1


Related Questions

If (fg)(x) = h(x) such that h of x is equal to the square root of the quantity 8 times x plus 6 end quantity which of the following could accurately represent f and g?

Answers

The value of the functions f(x) and g(x) will be √(4x + 3) and √2. Then the correct option is B.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

If (f g)(x) = h(x) such that h(x) = √(8x + 6). Then we have

(f g)(x) = h(x)

f(x) · g(x) = h(x)

Then put the value of h(x), then we have

f(x) · g(x) = √(8x + 6)

f(x) · g(x) = √2(4x + 3)

f(x) · g(x) = √(4x + 3) × √2

Thus, the value of the functions f(x) and g(x) will be √(4x + 3) and √2.

Then the correct option is B.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Which linear inequality is represented by the graph

Answers

Answer:

the second choice

Step-by-step explanation:

The last two choices could not be correct, because it would need a dashed line.  The line under the greater than or less than symbol mean  that the line is included in the answer and it will be a solid line like you see in the picture.  For both of the top two answers the slope that they y intercept is correct.  You just have to decide is the symbol will be greater than or equal to or less than and equal to.  

If we put 0 in x for in the form y = mx + b, what would y be?

y = 1/3 x - 1

y = 1/3(0) - 1

y = -1

The ordered pair is (0,1).  That is the part that is shaded so that shows us that the second answer is correct.

My car uses 8.5L of petrol per 100km travelled. If petrol costs $2.05 per litre, how much will the petrol cost for my trip?

Answers

the petrol cost for the trip is:

C = 2.125*$2.05 = $4.36

How to get the cost of the trip?

After a search online, I've found that the trip is of 25km.

Here we know that the car uses 8.5L per 100km, then in 25 km, the car will use one-fourth of 8.5L, that is:

8.5L/4 = 2.125L

So the volume of petrol that the car uses for the trio is 2.125 liters of petrol.

And each liter costs $2.05, then the petrol cost for the trip is given by the product between the total volume of petrol consumed and the cost per liter.

C = 2.125*$2.05 = $4.36

Thus, we conclude that the petrol cost for the trip is 4.36 dollars.

If you want to learn more about costs:

https://brainly.com/question/19104371

#SPJ1

A coordinate grid with 2 lines. The first line passes through (0, negative 5) and (negative 5, 0). The second line passes through (0, negative 5) and (negative 2, 1).
What is the solution to the system of equations?

Answers

Answer:

(0, -5)

Step-by-step explanation:

The two different lines have point (0, -5) in common, so the solution is (0, -5).

y=alpha sinx +beta cosx is the solution of d^2y/dx^2+dy/dx=0 where (alpha and beta are constant)

Answers

The expression y = α · sin x + β · cos x is a solution of the ordinary differential equations if and only if (α, β) = (0, 0).

When a given equation is a solution of an ordinary differential equation

According to the statement, we must find in what conditions a given expression may be a solution of an ordinary differential equation. Then, first and second derivatives of the equation are:

y' = α · cos x - β · sin x                 (1)

y'' = - α · sin x - β · cos x              (2)

Then, we substitute on the ordinary differential equation:

(- α · sin x - β · cos x) + (α · cos x - β · sin x) = 0

And by algebraic handling we simplify the resulting expression:

- (α + β) · sin x + (α - β) · cos x = 0

Where each coefficient represents a constant of a linear combination:

α + β = 0

α - β = 0

Then, the solution of the system of linear equations is (α, β) = (0, 0). The expression y = α · sin x + β · cos x is a solution of the ordinary differential equations if and only if (α, β) = (0, 0).

Remark

The statement is incomplete and complete form cannot be found, then we decided to create a new statement:

Please prove that y = α · sin x + β · cos x is the solution of the differential equation d²y / dx² + dy /dx = 0 where the following condition is observed, if and only if α = β = 0.

To learn more on differential equations: https://brainly.com/question/14620493

#SPJ1

Prove that the number A= [tex]20^{8^{2014} } }+113 is composite

Answers

Cheese proof:

We can just prove that it is divisible by 3, which means that it is composite. We can use modular exponentiation, where if [tex]a \equiv b \pmod{n}[/tex] then [tex]a^x \equiv b^x \pmod{n}[/tex]. In this case, [tex]{-1}^{8^{2014}} \equiv 20^{8^{2014}} \pmod{3}[/tex]. This is much easier to calculate! Since [tex]8^{2014}[/tex] is even, [tex]-1^{8^{2014}}=1[/tex], meaning that now we only need to prove that [tex]0\equiv(1+113) \pmod{3}[/tex], which is obviously true.

5. Elias has 1/2 of a candy bar. He shares 1/4 of it with his best friend. How much of the candy bar did his best friend receive?​

Answers

Answer:

1/8

Step-by-step explanation:

say the bar has 20 pieces. he has 10 pieces. and he gave away 1/4 of those 10

1/4 x 10 = 2.5

20 / 2.5 = 8

So his friend recieved 1/8

you could also just do 1/2 x 1/4 which is 1/8

Answer:

1/8 of the candy bar.

Step-by-step explanation:

Elias has 1/2 of a candy bar.

He gave 1/4 of 1/2 to his friend.

[tex]\sf Friend's s\ share = \dfrac{1}{4} \ of \ \dfrac{1}{2}[/tex]

                      [tex]\sf =\dfrac{1}{4}*\dfrac{1}{2}\\\\=\dfrac{1}{8}[/tex]

What is 0.08 written as a fraction in simplest form?

Answers

Answer:

[tex]\frac{2}{25}[/tex]

Step-by-step explanation:

Each "place" in the decimal, can be represented with a base 10 in the numerator.

For example the "tenths" place can be represented as: [tex]\frac{a}{10^1}[/tex] where a=decimal.

The hundredths place can be represented as: [tex]\frac{a}{10^2}[/tex]

The thousandths place can be represented as: [tex]\frac{a}{10^3}[/tex]

and so on...

In this case, we have a decimal in the hundredths place which can be represented as: [tex]\frac{8}{10^2} = \frac{8}{100}[/tex]. Now to simplify this fraction, you simply divide both sides by 4 (greatest common factor of 8 and 100), or in other words multiply it by 0.25/0.25 which is just 1, so the value is the same. [tex]\frac{8}{100} * \frac{0.25}{0.25} = \frac{2}{25}[/tex]

please help!!! i just need this one

Answers

Answer:

[tex]p = x \\ r = 6\% \\ t = 2yrs[/tex]

[tex]p = 1600[/tex]

please see the attachment

Answer:

P = $1600

Step-by-step explanation:

We have to use the equation:

[tex]\boxed{I = Prt}[/tex] .

We know that:

• I = $192

• P = ?

• r = 6% = 0.06

• t = 2 years

Substituting these values into the equation:

[tex]192 = P \times 0.06 \times 2[/tex]

Solving for P:

[tex]P = \frac{192}{0.06 \times 2}[/tex]

[tex]P = \bf \$1600[/tex]

6x+4y-3z,7x-11y-9z,14x+8y-6z

Answers

Step-by-step explanation:

i donot know

sorry about this

The types of transformations of geometric figures in the coordinate plane can be described as a slide, a flip, or a turn. What are the other names used to identify these transformations?

Answers

The other names used to identify the transformation of geometric figures is translation or reflection and rotation.

Given that the types of transformations of geometric figures in the coordinate plane can be described as a slide, a flip, or turn.

We are required to find the other names used to identify the above transformations.

The other names used to identify the transformation of geometric figures is translation or reflection and rotation.

Translation means the displacement of a figure from one place to another. In translation a figure can move upward, downward,right , Iift or anywhere in the coordinate system. In translation, the position of the object changes, its size remains the same.

Reflection is a type of transformation that flips a shape in a mirror line so that each point is the same distance from the mirror line as its reflected point.

Rotation is a motion of a  space that preserves at least one point.

Hence the other names used to identify the transformation of geometric figures is translation or reflection and rotation.

Learn more about transformations at https://brainly.com/question/1548871

#SPJ1

If a true-false test with 10 questions is given what is the probability of scoring?

Answers

Answer:50%

Step-by-step explanation:  It doesn't matter how many questions there are because for each question, you have a 50% chance of getting it right. So, the probability is 50%.

What is the fiftieth term in the sequence 5, 7, 9, 11, 13 …?

Answers

The 15th term in the given A.P. sequence is a₁₅ = 33.

According to the statement

we have given that the A.P. Series with the a = 5 and the d is 2.

And we have to find the 15th term of the sequence.

So, for this purpose we know that the

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

And the formula is a

an = a + (n-1)d

After substitute the values in it the equation become

an = 5 + (15-1)2

a₁₅ = 5 + 28

Now the 15th term is a₁₅ = 33.

So, The 15th term in the given A.P. sequence is a₁₅ = 33.

Learn more about arithmetic progression here

https://brainly.com/question/6561461

#SPJ1

What is the probability distribution of X when X~B(1,1/25)?

P(X= 0) = 0.96
P(X= 1) = 0.04

P(X= 0) = 0.75
P(X= 1) = 0.25

P(X= 0) = 0.04
P(X= 1) = 0.96

P(X= 0) = 0.25
P(X= 1) = 0.75

Answers

The probability distribution of X when X~B(1,1/25) is (Option A)

P(X= 0) = 0.96P(X= 1) = 0.04

See the explanation below.

What is the explanation to the above solution?

Given X~B(n,p)

P(x=1) = C¹ₙ * P¹ * (1-P)ⁿ⁻¹ (n≥1)

Thus, X~B [1, 1/25]

1/25 = 0.04

hence, p(x=0)

= C⁰₁ * 0.04⁰ (1 - 0.04)¹

= 0.96

P (x=1)

=  C¹₁ 0.04¹ (1-0.04)⁰

= 0.04

Learn more about probability at;
https://brainly.com/question/28016002
#SPJ1

I have a list of five numbers, where the first number is 1 and the fifth number is 5. Each of the other numbers is equal to one more than the average of its two neighbors. What is the sum of all five numbers in the list?

Answers

The sum of all five numbers in the list is 25.

According to the question,

The first number on my list of five numbers is 1, and the fifth is 5. The other figures are all one more than their two nearest neighbors' averages.

Let the list of numbers be 1,x,y,z,5.

As each of the other numbers is equal to one more than the average of its two neighbors.

x=(1+y)/2+1

2x=3+y   -(1)

Similarly,

y=(x+z)/2+1

2y=x+z+2   -(2)

z=(y+5)/2+1

2z=y+7    -(3)

Multiply equation (2) by 2 and then substitute equations (1) and (3),

4y=3+y+y+7+4

4y=2y+14

2y=14

y=14/2

y=7

From equation (1),

2x=3+7

2x=10

x=5

From equation (3),

2z=7+7

2z=14

z=14/2

z=7

The list is: 1,5,7,7,5

Sum of the numbers of list = 1+5+7+7+5 = 25

Learn more about sum here:

https://brainly.com/question/17695139

#SPJ1

A circle is circumscribed around a rectangle with sides lengths 6 and 8 what is the area of the circle?

A. 16[tex]\pi[/tex]
B. 20[tex]\pi[/tex]
C. 24[tex]\pi[/tex]
D. 25[tex]\pi[/tex]
E. 30[tex]\pi[/tex]

Answers

Answer:

D. 25pi

Step-by-step explanation:

"circumscribed" means the rectangle is inside the circle and just the corners (vertices) of the rectangle are touching the circle. This means the diagonal of the rectangle is the diameter of the circle. See image. If the sides of the rectangle are 6 and 8 then the third side that makes the triangle(half the rectangle) is 10. You can find this using Pythagorean Theorem or Pythagorean triples (shortcut)

6^2 + 8^2 = d^2

36 + 64 = d^2

100 = d^2

d = 10

This is the diameter of the circle. The radius would then be 5.

Area of a circle is:

A = pi•r^2

= pi•5^2

= 25pi

The cross-sectional areas of a triangular prism and a right cylinder are congruent. the triangular prism has a height of 5 units, and the right cylinder has a height of 5 units. which conclusion can be made from the given information?

Answers

The conclusion can be made from the given information

The volume of the triangular prism is equal to the volume of the cylinder

Given that there are two figures

1. A right triangular prism

2. Right cylinder

The area of the cross-section of the prism is equal to the Area of a cross-section of the cylinder.

Let this value be A.

Also given that the Height of prism = Height of cylinder = 6

The volume of a prism is will be :

[tex]V _{prism} = cross section area \times height[/tex]

[tex]V _{prism} = A \times 6 = 6A[/tex]  (1)

The Cross section of the cylinder is a circle.

hence the Area of the circle will be:

Area of cross-section, A = [tex]\pi \times r^2[/tex]

so, the Volume of the cylinder will be :

[tex]V _{cylinder} = \pi \times r^2 \times h[/tex]

[tex]V _{cylinder} = A \times h = A \times 6 = 6A[/tex]  (2)

From equations (1) and (2) we can say that

The volume of the triangular prism is equal to the volume of the cylinder.

What is a triangular prism?A three-sided polyhedron consisting of a triangle base, a translated copy, and three faces connecting equivalent sides is known as a triangular prism in geometry.If the sides of a right triangular prism are not rectangular, the prism is oblique. Right triangle prisms with square sides and equilateral bases are known as uniform triangle prisms.It is, in essence, a polyhedron with two parallel sides and three surface normals that are all in the same plane (which is not necessarily parallel to the base planes).There are parallelograms in these three faces. The identical triangle appears in every cross-section running parallel to the base faces.

To learn more about triangular prism with the given link

https://brainly.com/question/24046619

#SPJ4

12. Diameter,
A = 72Pie
(Circle)

Answers

Answer:

6.98

Step-by-step explanation:

I think that you are looking for the diameter and you are given the area of a circle.

a =[tex]\pi r^{2}[/tex]  You are given pi, so [tex]r^{2}[/tex] = 72.

That means that r = [tex]\sqrt{72}[/tex] or a rounded answer of 8.49 rounded to the hundreds place.  The diameter is equal to 2 radius, so the diameter rounded is 16.98

Pythagorean Theorem
In a right triangle, the square of the _____ equals the sun of the squares of the ______.

Answers

Answer: In a right triangle, the square of the Hypotenuse equals the sun of the squares of the other two sides.

Step-by-step explanation: a^2+b^2=c^2

Answer: the Pythagoras theorem states that in a right angled triangle, the square of THE HYPOTENUSE is equal to the sum of the squares of the OTHER TWO SIDES.

Step-by-step explanation: :)

10 by 28 + - 32 by 49 rational number




pls answer it

thank you​

Answers

By simplifying the fraction 10/28 ÷ 32/49 exists 35/64.

How to simplify fractions?

The first stage of dividing fractions exists to estimate the reciprocal (reverse the numerator and denominator) of the second fraction. Subsequently, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if required.

To find the reciprocal of the divisor

Reciprocal of 32/49 = 49/32

Now, multiply it by the dividend, then we get

So, 1028 ÷ 3249 = 10/28 × 49/32

= (10 × 49)/(28 × 32) = 490/896

After decreasing the fraction, the answer exists at 35/64.

To learn more about fractions refer to:

https://brainly.com/question/1235042

#SPJ9

Use the given transformation x=4u, y=3v to evaluate the integral. ∬r4x2 da, where r is the region bounded by the ellipse x216 y29=1

Answers

The Jacobian for this transformation is

[tex]J = \begin{bmatrix} x_u & x_v \\ y_u & y_v \end{bmatrix} = \begin{bmatrix} 4 & 0 \\ 0 & 3 \end{bmatrix}[/tex]

with determinant [tex]|J| = 12[/tex], hence the area element becomes

[tex]dA = dx\,dy = 12 \, du\,dv[/tex]

Then the integral becomes

[tex]\displaystyle \iint_{R'} 4x^2 \, dA = 768 \iint_R u^2 \, du \, dv[/tex]

where [tex]R'[/tex] is the unit circle,

[tex]\dfrac{x^2}{16} + \dfrac{y^2}9 = \dfrac{(4u^2)}{16} + \dfrac{(3v)^2}9 = u^2 + v^2 = 1[/tex]

so that

[tex]\displaystyle 768 \iint_R u^2 \, du \, dv = 768 \int_{-1}^1 \int_{-\sqrt{1-v^2}}^{\sqrt{1-v^2}} u^2 \, du \, dv[/tex]

Now you could evaluate the integral as-is, but it's really much easier to do if we convert to polar coordinates.

[tex]\begin{cases} u = r\cos(\theta) \\ v = r\sin(\theta) \\ u^2+v^2 = r^2\\ du\,dv = r\,dr\,d\theta\end{cases}[/tex]

Then

[tex]\displaystyle 768 \int_{-1}^1 \int_{-\sqrt{1-v^2}}^{\sqrt{1-v^2}} u^2\,du\,dv = 768 \int_0^{2\pi} \int_0^1 (r\cos(\theta))^2 r\,dr\,d\theta \\\\ ~~~~~~~~~~~~ = 768 \left(\int_0^{2\pi} \cos^2(\theta)\,d\theta\right) \left(\int_0^1 r^3\,dr\right) = \boxed{192\pi}[/tex]

An experiment consists of drawing 1 card from a standard 52 card deck. let e be the event that the card drawn is a red card. find p(e)

Answers

The probability of drawing a red card from a standard deck of cards is 1/2.

Given that there is a standard deck of cards.

We are required to find the probability of drawing a rd card from a standard deck of cards.

Probability is the calculation of chance of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.

Probability=Number of items/Total items.

Total number of cards=52

Number of red cards =26

Number of black cards=26

Probability of drawing a red card =Number of red cards/ Total cards.

=26/52

=1/2

Hence the probability of drawing a red card from a standard deck of cards is 1/2.

Learn more about probability at https://brainly.com/question/24756209

#SPJ4

How do I get my answer

Answers

(h + j)(x)
h(x) + j(x)
2x - 3 + -4x
-2x - 3

Factors to zero inverse operations

Answers

The zeros of the given equation are -5  and -7

Zeros of a quadratic equation

Quadratic equations are equations that has a leading degree of 2. Given the factors of a quadratic equation as expressed below;

(-3x - 15)(x+7) = 0

The expressions -3x -15 and x + 7 are the factors of the equation. Equating both factors to zero

-3x - 15 = 0

Add 15 to both sides of the equation

-3x -15 + 15 = 0 + 15

-3x = 15

Divide both sides of the equation by -3

-3x/-3 = 15/-3

x = -5

Similarly;

x + 7 = 0

x = -7

Hence the zeros of the given equation are -5  and -7

Learn more on zeros of equation here:https://brainly.com/question/20896994

#SPJ1

What are the solutions of the equation (x 2)2 12(x 2) – 14 = 0? use u substitution and the quadratic formula to solve.

Answers

The solutions of the given equation is x = -8 + 5√2 and  x = -8 - 5√2.

The quadratic formula is used to find the roots of a quadratic equation. This formula helps to evaluate the solution of quadratic equations replacing the factorization method. If a quadratic equation does not contain real roots, then the quadratic formula helps to find the imaginary roots of that equation. The quadratic formula is also known as Shreedhara Acharya’s formula

(x + 2)² + 12(x + 2) – 14 = 0

Replacing x + 2 with u we get,

u² + 12u - 14

using quadratic formula we get

u = (-12 ±√(12² - 4x1 x-14))/2

u =(-12 ±√200)/2

u = -6 ± 5√2

x +2 = u = -6 ± 5√2

x = u = -8 ± 5√2.

Learn more about  quadratic formula here :

https://brainly.com/question/1353611

#SPJ1

A function has a slope of 3, and one solution is given in the table. identify the missing outputs. x: 5 6 7 8 9 y: -50

Answers

The remaining value will increase by the value of the slope. Hence the remaining missing values are -47, -44, -41, -38 and -35

Slope and tables

The slope of a line is the ratio of the rise to run of a line. It is also defined as the rate of change of coordinate y with respect to x. Mathematically;

slope = change in y/change in x

If the slope of the table given is 3, then using the coordinate points (5, -50)and (6, y)

Substitute

3 = y-(-50)/6-5
3 = y+50/1
y+50 = 3

y = -47

The remaining value will increase by the value of the slope. Hence the remaining missing values are -44, -41, -38 and -35

Learn more on slope here: https://brainly.com/question/3493733

#SPJ1

divide $800 between kofi and kweku so that kofi gets three times what kweku gets

Answers

Answer:

600 and 200

Step-by-step explanation:

kofi  : kweku     is   3 :1

   so Kofi gets   3 out of ( 3 +1)  = 3/4 of 800  = 3/4 * 800 = 600

         kweku get s the rest   800- 600 = 200  

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
ABIs parallel to CD, and EFis perpendicular to AB.
The number of 90° angles formed by the intersections of EFand the two parallel lines ABand CDis

Answers

Answer:

  8

Step-by-step explanation:

The four angles formed at each intersection of lines are all 90°.

The total number of 90° angles at the two intersections is 2×4 = 8 90° angles.

The difference of two numbers is 3/4. The sum of the two numbers is 9 1/4. Find the number

Answers

Hello there! Your answer is 20/4 and 17/4. To make this simpler, we can start by converting to all improper fractions:

9 x 4 = 36

36 + 1 = 37

37/4 is your improper fraction conversion. Now that we have that, we can restate the problem.

The difference between two numbers is 3/4, and the sum is 37/4. Since we know 20 - 7 = 13, we know that 20 - 17 = 3. That covers the 3/4 portion because we just subtracted to find that.

As for the addition portion, we can solve to result in the improper fraction of 37/4:

20/4 + 17/4 = 37/4.

And that’s our last step! We have identified the numbers!

Your numbers that both subtract to get 3/4 and add to get 9 1/4 is 20/4 and 17/4. If you need any extra help, let me know and I will gladly assist you.

Laura completed the following steps to find a product.

Multiply: Three-sevenths times 8

Step 1: 8 times three-sevenths

Step 2: StartFraction (8 plus 3) over 7 EndFraction

Step 3: Eleven-sevenths

Step 4: 1 and four-sevenths

In which step did Laura make her first mistake?

Step 1
Step 2
Step 3
Step 4

Answers

The solution to the product of 8 and three-seventh is 2 2/7. According to Laura, she made mistake in step 2 by adding 8 and 3 instead of multiplying

Multiplication of fractions and integers

Fractions are written as a ratio of two integers. For instance a/b is a fraction where a and b are integers.

Given the following equation

Multiply 3/7 and 8

This is expressed mathematically as;

3/7 * 8

Step 1: Swap to have;

8 * 3/7

Step 2: Group the numerator

(8*2)/7

Step 3; Simplify

16/7

Step 4; Convert to mixed fraction

16/7=  2 2/7

The solution to the product of 8 and three-seventh is 2 2/7. According to Laura, she made mistake in step 2 by adding 8 and 3 instead of multiplying

Learn more on multiplication here: https://brainly.com/question/4721701

#SPJ1

Other Questions
The crime control model of the criminal justice system emphasizes the preservation of individual liberties, reliability, the adversarial process, and uses the courtroom and law as the decision point. The unknown factors of combat reinforce that marines need a fitness practice that is based on __________ Why does the Time Traveller refuse to tell the story, at first in The Time Machine?A. Because he is afraid the others wont believe him.B. Because he wants to take a long nap before talking.C. Because he is so hungry that he insists he eat before speaking.D. Because hes unsure if he can trust his party guests. What do you understand by Ranger? The thematic apperception test (tat) is an example of a(n) ________ measure of personality. group of answer choices projective electronic recording self-report observational. Which european nation was the first to involve itself in exploration of the atlantic as a route to asia and the african slave trade? Katie is planning to paint the gate of her house that has a glass panel. Painting the gate costs $4 per square foot. How much will she have to spend to paint the gate? Question is in image below: A 75.1 L sample of gas at 33.2 C and 365.7 mm Hg expands to 242.9 L at 6.5 C. What is the new gas pressure? When the current through a circular loop is 5.7 A, the magnetic field at its center is 3.9 104 T. What is the radius (in m) of the loop? The __________ provides for a temporarily reduced initial rate in adjustable rate mortgages. King takes the phrase let freedom ring from the patriotic song "my country 'tis of thee."why is this important? How does he expand this phrase 1a, b/46 = 50/23 1b. 34/d = 68/44 A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive states that the revenues for online ads have more than doubled that of the revenues for printed ads since starting the online version of the paper. Use the graph below to justify the lead executives statement and to determine the approximate year that the two ad revenues were equal. The x component of vector is 5.3 units, and its y component is -2.3 units. The angle that vector makes with the x-axis is closest to? What does privatization mean in government? To conserve water, many communities have developed water restrictions. The water utility charges a fee of $38, plus an additional $1.28 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household is between $57 and $87 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place.)A) 057 1.28x-38 s 87; To stay within the range, the usage should be between 44.5 and 97.7 HCF.B) 57 s 1.28x - 38 s 87; To stay within the range, the usage should be between 74.2 and 97.7 HCF.C) 57 1.28x + 38 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.D)57 s 1.28x+38 87; To stay within the range, the usage should be between 14.8 and 67.9 HCF. Find the simple interest earned after 4 years on $2,250 invested at an interest rate of 5%. How could a man be severely injured beig hut by some tomatoes? Write equations that show NH3 as both a conjugate acid and a conjugate base.