If a positive number is decreased by 20,then the result a possitive number.

Answer:

The answer should be 55.3

Step-by-step explanation:

because 6.5 × 8.5 = 55.25. and that rounded is 55.3. :>> hope this helpss!

Answer: 5³- (2 at power 35 x 3 at power 36 x five at power 14) x (2 x 3 at power 4x 5 at power 19) .2 at power 4 (d in the picture)

Step-by-step explanation:

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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The force in the rod when the temperature is 150 °F is 718.72 pounds-force.

Let suppose that rod experiments a quasi-static deformation and that both springs have a linear behavior, that is, force (\(F\)), in pounds-force, is directly proportional to deformation. Then, the elongation of the rod due to temperature increase creates a spring deformation additional to that associated with mechanical contact.

Given simmetry considerations, we derive an expression for the spring force (\(F\)), in pounds-force,  as a sum of mechanical and thermal effects by principle of superposition:

\(F = k\cdot (\Delta x + 0.5\cdot \Delta l)\)   (1)

Where:

The rod elongation is described by the following thermal dilatation formula:

\(\Delta l = \alpha \cdot L_{o}\cdot (T_{f}-T_{o})\)   (2)

Where:

If we know \(k = 1000\,\frac{lb}{in}\), \(\Delta x = 0.7\,in\), \(\alpha = 6.5\times 10^{-6}\,\frac{1}{^{\circ}F}\), \(L_{o} = 48\,in\), \(T_{o} = 30\,^{\circ}F\) and \(T_{f} = 150\,^{\circ}F\), then the force in the rod at final temperature is:

\(F = \left(1000\,\frac{lb}{in} \right)\cdot \left[0.7\,in + 0.5\cdot\left(6.5\times 10^{-6}\,\frac{1}{^{\circ}F} \right)\cdot (48\,in)\cdot (150\,^{\circ}F-30\,^{\circ}F)\right]\)

\(F = 718.72\,lbf\)

The force in the rod when the temperature is 150 °F is 718.72 pounds-force. \(\blacksquare\)

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Answer:

35,000

Step-by-step explanation:

Answer:

Corey will have $4550.00 in is account after 10 years.

Step-by-step explanation:

This is simple interest. Here is the formula for simple interest.

\(A=P(1+r*t)\)

A = Final Amount

P = Principal Amount

R = Interest Rate

T = Time

We are given values for P, r, and t. Lets solve for A.

To get 3 percent as a decimal divide it by 100. We get 0.03.

\(P=3500\)

\(r=0.03\)

\(t=10\)

\(A=3500(1+0.03*10)\)

\(A=3500(1+0.30)\)

\(A=3500(1.30)\)

\(A=4550\)

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to factor out the GCF in the expression

\(\star~\star\mathrm{6x^3+3x}~\star~\star\)

\(\triangle~\fbox{\bf{KEY:}}\)

So let's divide.

But first. we should work out the GCF.

Both terms have 3x in common, so we divide both terms by 3x:

\(\mathrm{6x^3+3x}\)

\(\mathrm{3x(2x^2+1)}\)

To ensure that we've factored correctly, we can always use the distributive property, distribute 3x and see whether or not we end up with \(\mathtt{6x^3+3x}\).

So the answer is

\(\mathrm{3x(2x^2+1)}\)

Notice I put parentheses around 2x²+1. This indicates that 3x is multiplied times both 2x² and 1.

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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Answer:

The inverse of f is x=8

Step-by-step explanation:

I did it

a- The owner of the building suffers a leasehold interest loss. A leasehold interest loss occurs when the value of a leased property decreases, resulting in a loss of income for the property owner. In this case, the fair market value of the space decreased from $5000 to $4000, resulting in a $1000 per month loss in income for the owner of the building.

b- You suffer a loss of use. A loss of use occurs when a tenant is unable to use the leased property as intended, resulting in a loss of income for the tenant. In this case, you were unable to use the leased space due to the fire, resulting in a loss of income for you.

c- You suffer a leasehold interest loss. A leasehold interest loss occurs when the value of a leased property decreases, resulting in a loss of income for the tenant. In this case, the fair market value of the space decreased from $5000 to $4000, resulting in a $1000 per month loss in income for you.

d- The leasehold interest loss can be valued at $1000 per month for 7 years. The leasehold interest loss can be valued at $1000 per month for the remaining 7 years of the lease,

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Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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f(x) = (x+8)(x-2)(x+1)

all the best.

Answer:

2c coins

Step-by-step explanation:

this is because 2×c=2c

Answer:It would be 40•.25=10

Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off

Answer:

112 m/s

Step-by-step explanation:

height at t = 3

275 - 16(3²) = 131 ft

height at t = 4

275 - 16(4²) = 19 ft

Average vertical velocity for 3 ≤ t ≤ 4

v = d/t = (131 - 19) / (4 - 3) = 112 m/s

The surface area of the square pyramid is given by S = 323.6 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the square pyramid be S

Now , the equation will be

The base of the square pyramid a = 10 inches

The height of the lateral face h = 10 inches

The base area of the pyramid = a²

The lateral surface area of the pyramid = 2a √ ( ( a²/4 ) + h² )

So , the total surface area of square pyramid S = a² + 2a √ ( ( a²/4 ) + h² )

Substituting the values in the equation , we get

The base area of the pyramid = 100 inches²

The lateral surface area of the pyramid = 2 ( 10 ) √ ( ( 100/4 ) + 100 )

On simplifying the equation , we get

The lateral surface area of the pyramid = 223.6 inches²

The total surface area of square pyramid S = 100 inches² + 223.6 inches²

The total surface area of square pyramid S = 323.6 inches²

Hence , the surface area of the pyramid is 323.6 inches²

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STORE B BECAUSE LOW RATES IS BETTER THAN HIGH

Answer:

  f(x) = 4(x -1)^3·(x +2)

Step-by-step explanation:

Each root x=p indicates the function has a factor (x -p). The factor will be repeated according to the multiplicity of the root.

  f(x) = a(x -1)^3·(x +2)

  f(0) = a(-1)^3·2 = -2a = -8   ⇒   a = 4

The factored form of the equation is ...

  f(x) = 4(x -1)^3·(x +2)

Answer:

in this problem, it wants us to graph this piecewise function and then determine which answer choice matches. And I'm not sure if you gave me all the answer choices, but let's go ahead and try and graph this. So first we have a vertical line at negative three from negative 22 negative one. So here is -2. It's going to be open circled at negative two, two, which is going to have a closed circle since it's less than or equal to. And it would just connect right in there. Then we would have an open circle at negative one at negative two And then closed at zero And then an open circle at zero and -1 closed at one. So that would be a graph of this function. It doesn't look like I have all the answer choices, which you want to look for, the one that starts at -3. And it's open circle.

Step-by-step explanation:

hope its help

thank you

The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.

Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).

The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.

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On solving the provide question, we can say that - the quadratic equation \((6a^2 + 4b)(a^2 - b)\) = -4

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

here, we have

\((6a^2 + 4b)(a^2 - b)\)

a = 0 and b = 1

-4

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Answer:

B

Step-by-step explanation:

Since x is 3, you go 3 units right. Since y is -2, you go 2 units down.

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).

When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).

As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

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Amy's forth  account is the most over drawn of all the four accounts

What is the total balance of all accounts?

The total balance of all 4 accounts can be determined as the sum of all account balances, bearing in mind that a positive is added whereas an overdrawn balance is deducted

Total balance=$250-$45+$100+$x

The total balance=$130

the balance in the forth account=$x

Let us substitute $130 for the total balance

$130==$250-$45+$100+$x

$130=$305+$x

$x=$130-$305

$x=-$175

The fact that the forth account has  a balance of negative $175 means that it is also overdrawn, in essence, the correct option out of the 4 options is A, the forth account is most overdrawn because it is more overdrawn that the second account with a negative balance of $45.

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Answer:

The height of the pyramid = 8 cm

Step-by-step explanation:

Given that,

The edges of a pyramid, a = 12 cm

The lateral area of a pyramid, A = 240 cm²

The formula for the lateral area of a square pyramid is given by :

\(A=a\sqrt{a^2+4h^2}\)

Where

h is the height

Squaring both sides,

\(A^2=a^2\times (a^2+4h^2)\\\\\dfrac{A^2}{a^2}=a^2+4h^2\\\\\dfrac{A^2}{a^2}-a^2=4h^2\\\\4h^2=\dfrac{(240)^2}{12^2}-12^2\\\\4h^2=256\\\\h^2=64\\\\h = 8\ cm\)

So, the height of the pyramid is equal to 8 cm.

Given:

The triangles EFG and PQR are given.

To find: The correct answer

Explanation:

a) An angle bisector:

As we know,

An angle bisector is a line or ray that divides an angle into two congruent angles.

Here, The line FJ is the angle bisector for angle F.

Thus, the angle bisector is line FJ.

b) Perpendicular bisector:

As we know,

A perpendicular bisector is a line that bisects another line segment at a right angle, through the intersection point.

Here, the line SL bisects another line segment PQ at a right angle, through the intersection point S.

Thus, the perpendicular bisector is SL.

c) A point is equidistant from the line segment FE and EG:

The point that is equidistant to all sides of a triangle is called the incenter.

Here, H is the point that is equidistant from the line segment FE and EG.

Thus, the point is H only.

d) A point is equidistant from the points P and Q:

The point that is equidistant to all vertices of a triangle is called the circumcenter.

Here, L is the point that is equidistant from the points P and Q.

Thus, the point is L only.

Answer:

I think it might be $1.75 x B= $182

Step-by-step explanation:

Answer:

x=2.125

Step-by-step explanation:

40x=85

x=85/40

x=2.125

Answer:

x=3

Step-by-step explanation:

24÷3=8

39÷3=13

Step-by-step explanation:

similar by AA

that is the answer