Which situation can be represented by the equation, 7x + 1 = 10x ? *

Answer:

$22.50

Step-by-step explanation:

My bad lol, I posted the answer under the wrong thing.

Answer:

surface tension

Step-by-step explanation:

It seems to defy the laws of physics, but a paper clip made of steel can indeed float on the water surface. The high surface tension helps the paper clip - with much higher density - float on the water.

The cohesive forces between liquid molecules are responsible for the phenomenon known as surface tension. The molecules at the surface of a glass of water do not have other water molecules on all sides of them and consequently they cohere more strongly to those directly associated with them (in this case, next to and below them, but not above). It is not really true that a "skin" forms on the water surface; the stronger cohesion between the water molecules as opposed to the attraction of the water molecules to the air makes it more difficult to move an object through the surface than to move it when it is completely submersed.

Answer:

A = $56025

Step-by-step explanation:

Given that,

An investor decides to offer a business owner a $45,000 loan at simple interest of 3.5%  per year.

Principal, P = 45,000

Rate of interest, R = 3.5%

We need to find the total amount the investor will receive when the loan is  repaid after 7 years.

The formula for the simple is given by :

\(I=\dfrac{PRT}{100}\\\\=\dfrac{45000\times 3.5\times 7}{100}\\\\=\$ 11025\)

We know that,

Amount = Principal + simple interest

So,

A = 45,000 + 11025

A = $56025

So, the required amount is equal to $56025.

Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

The table does not represent a function.

A function is a relationship that maps elements of the domain into elements of the range. Such that each element of the domain can be mapped into only one element of the range.

Here we have a table.

If you look at the table, you can see that the element of the domain:

x = -18

Is being mapped into two different values in the range.

Into y = -10 and y = 21.

From that, we conclude that this table does not represent a function.

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Answer:

Step-by-step explanation:

(a)

(b)

#a

Check IO bisects the FH at 90°.

#b

So the options are

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

From the given triangle, the value of sin Θ is 3/√34.

To find the value of sin Θ, we have to know the definition of sin Θ first. Sin Θ can be calculated using formula of:

sin Θ = the front side : the hypotenuse

Based on the given triangle, we need to find the lenght of hypotenuse first to be able to find the value of sin Θ. The hypotenuse of the given triangle is:

h = √(5² + 3²)

h = √(25 + 9)

h = √34

The exact value of sin Θ is:

sin Θ = 3 / √34

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Answer:

13.825, 13, -13 25/40

Answer:

13.825, 13, and -13 25/40

Step-by-step explanation:

Hope this helps :)

\(p(x-1)\) is a quadratic in the form

\(a(x-1)^2 + b(x-1) + c\)

We want to write \(p(x-1)\) instead in the form

\(a' x^2 + b' x + c\)

To do this, simply expand the first form completely.

\(a(x-1)^2 + b(x-1) + c = a(x^2 - 2x + 1) + b(x-1) + c \\\\ ~~~~~~~~ = ax^2 + (-2a + b)x + (a - b + c)\)

Then \(a'=a\), \(b'=-2a+b\), and \(c'=a-b+c\).

Given

\(p(x-1) = 2(x-1)^2 + 3(x-1) + 4\)

(so \(a=2\), \(b=3\), and \(c=4\)) it follows that

\(a' = a = 2\)

\(b' = -2a + b = -2^2 + 3 = -1\)

\(c' = a - b + c = 2 - 3 + 4 = 3\)

\(\implies p(x-1) = \boxed{2}\,x^2 - \boxed{1}\,x + \boxed{3}\)

Answer:

0.25 lbs

You can translate the 1/2 a pound into 0.5lbs, which is equivalent. Then, this is the easier part. Sarah divides the clay into two equal pieces. This is asking you to halve 0.5lbs. The answer being 0.25lbs

Answer:

Step-by-step explanation:

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Answer:

x = 4 and y = 1/2

Step-by-step explanation:

Given equations are :

\(\dfrac{x}{2}+2y=3\ .....(1)\\\\6y+1=x\ ......(2)\)

Put the value of x from equation (2) in equation (1).

\(\dfrac{6y+1}{2}+2y=3\\\\\dfrac{6y+1+4y}{2}=3\\\\\dfrac{10y+1}{2}=3\\\\10y+1=6\\\\10y=5\\\\y=\dfrac{1}{2}\)

Put the value of y in equation (2) :

\(6\times \dfrac{1}{2}+1=x\\\\3+1=x\\\\x=4\)

So, the value of x = 4 and y = 1/2.

Answer:

x = 3

y = -1

Step-by-step explanation:

             Method:  substitution

x - 3y = 6 --------------(I)

      x  = 6 + 3y -------------(II)

2x + 2y = 4 ----------(III)

Substitute x = 6 +3y in equation (II),

        2*(6+3y) + 2y = 4

Use distributive property to open the parenthesis,

     2*6 + 2*3y + 2y = 4

         12 + 6y + 2y = 4

Combine like terms.

            12 + 8y      = 4

Subtract 12 from both sides,

                        8y  = 4 - 12

                        8y = -8

Divide both sides by 8,

                          y = -8÷ 8

                            \(\boxed{\bf y = (-1)}\\\)

Substitute y = -1 in equation (II) and find the value of x.

               x = 6 + 3*(-1)

                  = 6 - 3

               \(\sf \boxed{\bf x = 3}\)

Answer:

(3, - 1 )

Step-by-step explanation:

x - 3y = 6 ( add 3y to both sides )

x = 3y + 6 → (1)

2x + 2y = 4 → (2)

substitute x = 3y + 6 into (2)

2(3y + 6) + 2y = 4

6y + 12 + 2y = 4

8y + 12 = 4 ( subtract 12 from both sides )

8y = - 8 ( divide both sides by 8 )

y = - 1

substitute y = - 1 into (1)

x = 3(- 1) + 6 = - 3 + 6 = 3

solution is (3, - 1 )

Answer:

The graph of the circle is attached.

What is a circle? A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center. A circle is a special case of an ellipse with zero eccentricity and coincident foci. Given is an equation of a circle, we need to graph, it, The equation = (x-7)² + (y-5)² = 4 Here, the center of the circle is (7, 5) and the radius is 2.

Hence, the graph of the circle is attached.

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Answer:The weight of Euclid is 10.625 pounds, and the weight of Riemann is 21.25 pounds.

Let the current weight of Euclid = x

Let the current weight of Pythagoras = T

Let the January weight of Pythagoras = y

The expression that represents the given scenario is written as;

when Pythagoras lost 13 pounds: T =  y - 13

when Pythagoras gains 1.2 times Euclid's weight: = T + 1.2x

when Pythagoras weight is 1/4 pound less than weight in January:

T + 1.2x + 0.25 = y

y- 13 + 1.2x + 0.25 = y

1.2x - 12.75 = 0

Euclid's weight is calculated as follows;

1.2x = 12.75

The weight of Riemann is calculated as follows;

a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)

b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)

In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:

H(n) = a · (r / 100)ˣ⁻¹

Where:

If we know that a = 1.5 m and r = 71, then the rule for the sequence is:

H(n) = 1.5 · (71 / 100)ˣ⁻¹

And the height at the top of the sixth path:

H(6) = 1.5 · (71 / 100)⁶⁻¹

H(6) = 0.27 m

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With a constant speed Robert took 20 minutes paddle.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given that, Robert paddled at a constant speed and travels 3/4 of a mile in 15 minutes.

We know that, Speed = Distance/Time

Speed = 3/4 ÷15/1

= 3/4 × 1/15

= 1/20 miles per minutes

Now, distance = 1 mile and speed =1/20 miles per minutes

1/20 = 1/Time

Time = 20 minutes

Therefore, with a constant speed Robert took 20 minutes paddle.

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Answer:

8.75 or 8 3/4

Step-by-step explanation:

To do this question, many do it differently. But for now, we will convert the fractions into decimals.

1/4 = 0.25

11/2= 5.5

0.25 + 3 + 5.5

3.25 + 5.5 =

8.75

The answer is 8.75 or 8 3/4

Answer:

Decimal form :

8.75

Step-by-step explanation:

Hope it is helpful....

The solution to the given equation is x = ±7. The correct option is d. x = ±7

From the question, we are to determine the solution to the given equation

The given equation is

x²-49 = 0

NOTE: I assumed the variable is x

Solving the equation

x²-49 = 0

Writing in the form ax²= c

x² = 49

∴ x = ±√49

x = ±7

Hence, the solution to the given equation is x = ±7

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Answer:

65.4 cubic inches

Step-by-step explanation:

Formula for the volume of a cone :

Volume (cone) = 1/3πr²h

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

Given :

⇒ diameter = 5 in. → radius = 2.5 in.

⇒ height = 10 in.

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

Solving :

⇒ Volume (cone) = 1/3 × π × (2.5)² × 10

⇒ Volume (cone) = 62.5π/3

⇒ Volume (cone) = 65.4 cubic inches

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Answer:

Step-by-step explanation:

To factor the trinomial x^2-7x-8, we need to find two numbers whose product is -8 and whose sum is -7. The numbers are -8 and +1. Therefore, we can rewrite the trinomial as:

x^2 - 7x - 8 = (x - 8)(x + 1)

So, one of the factors is (x - 8).

9514 1404 393

Answer:

  A root of f(x) is x = 5

Step-by-step explanation:

If (x -5) is a factor of f(x), then the value x=5 will make the function value be zero. That is, x=5 is a root of f(x).

__

x = -5 may or may not be a root of f(x). The given information is insufficient for us to say that "x=-5 is a root" must be true.

_____

Additional explanation

If (x-5) is a factor of f(x), then we can write f(x) as ...

  f(x) = (x -5)q(x) . . . . . for some polynomial q(x)

Then ...

  f(5) = (5 -5)q(5) = 0·q(5) = 0 . . . . . without regard to the value of q(5)

  f(5) = 0 means 5 is a root of f(x)

Answer:

Step-by-step explanation:

You want to know the volume of a cylindrical container 6 inches in diameter and 4.5 inches high, and you want to know how many times larger this volume is than if the diameter were 4 inches.

The volume of a cylinder is given by the formula ...

  V = πr²h

where r is half the diameter, and h is the height.

The volume of your large popcorn container is ...

  V = 3.14·(3 in)²·(4.5 in) = 127.17 in³

The volume of the large container is 127.17 in³.

For a given height, the volume ratio is the square of the ratio of diameters. That ratio is given as 3/2, so the volume ratio is ...

  (3/2)² = 9/4 = 2.25

The large container is 2.25 times the volume of the small container.