Factor: 5x2 – 15x – 20.

(a) 5(x-4)(x+1),

(b) -2(x-4)(x+5),

(c) -5(x+4)(x-1),

(d) 5(x+4)(x+1).

The total surface area of the object shown in the diagram is 164 inches.

The total surface area of a 3-dimensional object is the sum of the areas of the faces or surfaces of a 3-dimensional object. The object shown is the net of a cuboid.

Total surface area of a cuboid = 2 (lw + wh + lh)

where:

• l = length

• w = width

• h = height

2 { (10 x 3) + (10 x 4) + (4 x 3)}

2 (30 + 40 + 12)

2 x 82 = 164 inches

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The surface area of the figure is 164 square inches

From the net of the rectangular prism, we have the following dimensions:

Length = 4 inches

Width = 3 inches

Height = 10 inches

The surface area is calculated as:

Area = 2 * (Length * Width + Length * Height + Width * Height)

So, we have:

Area = 2 * (4 * 3 + 4 * 10 + 3 * 10)

Evaluate

Area = 164

Hence, the surface area of the figure is 164 square inches

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Answer:

I was able to solve questions 2 through 4 using the, "center = (h, k)" formula.

2. (3, -1)

3. (1, 2)

4. (-5, 2)

Hope it helps.

Answer:

Step-by-step explanation:

its A

Answer:

(-3, 8) is the solution

Step-by-step explanation:

The LCD of the first equation is (3)(4) = 12.  Rewriting this equation, we get:

4x + 3y = 12

to which we add the second equation, obtaining:

4x + 3y = 12

2x - 3y = -30

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

6x   = -18

Dividing both sides by 6 yields x = -3

Substituting -3 for x in the first equation yields 4(-3) + 3y = 12, or

-12 + 3y = 12

Then 3y = 24 and y must be 8.

The solution to this system of linear equations is (-3, 8).

Answer: the answer is 126.6

Step-by-step explanation:

Answer:

  AC ≈ 126.6

Step-by-step explanation:

The law of sines can be used to find the side length of interest in this triangle. It tells you ...

  a/sin(A) = b/sin(B) = c/sin(C)

__

In order to use the law of sines, we must have a side length and its opposite angle. Here, the angle opposite the given side is unmarked, so we need to compute it using the angle sum theorem.

  A +B +C = 180°

  A +85° +53° = 180°

  A = 42° . . . . . . . . . . . . . subtract (85°+53°)

Then side AC can be found from ...

  AC/sin(B) = BC/sin(A)

  AC = BC·sin(B)/sin(A) = 85·sin(85°)/sin(42°)

  AC ≈ 126.547

The closest answer choice is 126.6.

Answer:

13

Step-by-step explanation:

The way to find the distance between two points on the coordinate plane is to use the distance formula, which is basically a way of applying the Pythagorean Theorem.

The distance formula is [tex]\sqrt{(x_{1}- x_{2} )^2 + (y_{1}- y_{2})^2}[/tex]. Let's say the coordinate (3, -8) is (x1, y1) and the coordinate (8, 4) is (x2, y2). We can plug these values into the formula:

[tex]\sqrt{(3- 8 )^2 + (-8 - 4)^2}\\\sqrt{(-5)^{2} + (-12)^{2}} \\\sqrt{25+144} \\\sqrt{169} \\13[/tex]

So, the distance between the two points is 13.

Answer:

7 and -4

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

(-5,6)

Step-by-step explanation:

Answer:

[tex]-4x^3+6x^2-x[/tex]

Step-by-step explanation:

1. Distribute the X across the equation: [tex]-x(4x^2)=-4x^3\\[/tex]

2.[tex]-x(-6x)=6x^2[/tex]

3.[tex]-x(1)=-x[/tex]

3.[tex]-4x^3+6x^2-x[/tex]

No triangles are possible for Options B and D. One triangle is possible for options A, C, and E. Many triangles are possible for option F.

For it to be a triangle, then it must have 3 vertices and 3 sides with the sum of 2 sides greater than the third side. Also, the sum of interior angles must be 180°.

A) Side lengths of the triangle are; 4 inches, 8 inches and 10 inches.

4 + 8 > 10. Thus, it is a triangle.

B) 60° + 40° + 90° = 190 ≠ 180°

Thus, no triangle is possible because the sum of the angles in triangle is 180°.

C) There are two sides are given and one angle. Thus, from SAS congruency theorem, one triangle is possible.

D) 7 + 5 = 12

There is no triangle possible because the sum of the two sides must be greater than the third side.

E) We are given two angles and one side. Thus, from the ASA Congruency Postulate, one triangle is possible.

F) 60° + 80° + 40° = 180°

There are three angles given, but no sides and so we can say that many triangles are possible.

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Answer:

No Solution

Step-by-step explanation:

Answer:

[tex]x = \dfrac{-1\pm i\sqrt{19}}{10}[/tex]

Step-by-step explanation:

[tex]~~~~~~5x^2 +x +1 = 0\\\\\implies x = \dfrac{-1\pm\sqrt{1^2 -4 (5)(1)}}{2(5)}\\\\\implies x = \dfrac{-1 \pm \sqrt{-19}}{10}\\\\\implies x = \dfrac{-1\pm i\sqrt{19}}{10}[/tex]

Answer:

No, it is not the same thing.

Step-by-step explanation:

Hope this helps!

Answer:

is there any other info?

The surface area of the prism is 144 square units

The attached image represents the missing figure in the question.

The image would be used to complete the steps, as follows:

Hence, the surface area of the prism is 144 square units

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The differential equation that models the given situation will be dy/dt = K(N - y).

Let y = number of individuals who have heard about the product.

Let N - y = this who haven't heard about the product.

From the given statement, the rate for change will be t = dy/dt. Therefore, the differential equation that models the given situation will be dy/dt = K(N - y).

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Answer:

I’m thinking it’s 2 lol thank you so much!!!

Step-by-step explanation:

Answer:

[tex]\frac{1}{6}[/tex]

[tex]6^{-1}[/tex]

[tex]\frac{1}{6^{1} }[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{6}[/tex] and [tex]6^{-1}[/tex] also [tex]}{\frac{1}{6^{1} } }[/tex] which is the same as [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

According to exponent rules

[tex]a^{n} *a^{m} =a^{n+m}[/tex]

[tex]a^{-x}= \frac{1}{a^{x} }[/tex]

The situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C

The expression is given as:

2 - 5

When the expression illustrates change in temperature, the interpretation can be:

An initial temperature of 2°C decreases by 5°C

Hence, the situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C

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16340 can be written in scientific notation as 1.63 × 10⁴.

Scientific Notation is a way of representing large numbers in decimal forms multiplied by the power(exponent) in terms of decimal places. The purpose of representing large numbers in scientific notation is to enable easier calculation.

This means that 16,340 in scientific notation can be expressed as:

= 1.634 × 10⁴

= 1.63 × 10⁴ ( to 2 significant figures)

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Answer:

[tex]y = \frac{7}{2} [/tex]

Step-by-step explanation:

[tex]3y + 7 = 5y \\ 7 = 5y - 3y \\ 7 = 2y \\ \frac{7}{2} = y \\ y = \frac{7}{2} [/tex]

The expanded form of V(x) = x(9-2x) (11-2x) is V(x)  = 4x^3 - 20x^2 + 99x

The missing information in the question is to express V(x) in standard form

We have:

V(x) = x(9-2x) (11-2x)

Open the brackets

V (x) = x(99 - 2x - 18x + 4x^2)

Evaluate the like terms

V (x) = x(99 - 20x + 4x^2)

Expand

V (x) = 99x - 20x^2 + 4x^3

Rewrite as:

V(x)  = 4x^3 - 20x^2 + 99x

Hence, the expanded form of V(x) = x(9-2x) (11-2x) is V(x)  = 4x^3 - 20x^2 + 99x

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The equation in slope-intercept form of the line that passes through the point is y = -2x+4 , Option B is the correct answer.

The equation of a straight line is given by the equation

y= mx+c

Where m is the slope and

c is the intercept on y axis.

The given data is

line passes through the point (3,-2) with slope -2.

m = -2

y = -2x + c

-2 = - 2 * 3 +c

-2 = -6 +c

c = +4

y = -2x+4

Therefore Option B is the correct answer.

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If [tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}[/tex], the value of a and b is given as a = 34 and b = 0

An equation is an expression that shows the relationship between two or more variables or numbers.

[tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }\\ \\\frac{9+6\sqrt{8}+8+9-6\sqrt{8}+8 }{(3-\sqrt{8} )(3+\sqrt{8} )} \\\\\frac{34}{9-8} =34+0\sqrt{2}[/tex]

If [tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}[/tex], the value of a and b is given as a = 34 and b = 0

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[tex]~~4^2 +\sqrt 9\\\\=16 +3 \\\\=19[/tex]

Answer: x=2

Step-by-step explanation:

To find the value of x, we have [tex]\frac{x}{2} =1[/tex]. To isolate x, we want to multiply both sides by 2 to get x alone.

x=2

Answer:

2

Step-by-step explanation:

[tex] \frac{x}{2} = 1 \\ cross \: multiplying \\ x = 2 \times 1 = 2 \\ x = 2[/tex]

Based on the calculations below, the amount originally borrowed by Colin is $10,006.67.

To solve this question, the following present value (PV) formula will be used:

PVn = Pn / (1 + r)^n ........................... (1)

Where:

PVn = Present value of an amount paid in year n

P = Amount paid in year n

r = quarterly interest rate = 7.16% / Number of quarters in a year = 0.0716 / 4 = 0.0179

n = number of quarters = Number of years * Number of quarters in a year = Number of years * 4

Using equation (1), we can therefore proceed as follows:

PV3 = PV of $5,000 paid after three years = $5,000 / (1 + 0.0179)^(3 * 4) = $4,041.18

PV5 = PV of $5,000 paid after another 2 years (after 3 years + 2 years = 5) = $5,000 / (1 + 0.0179)^(5 * 4) = $3,506.45

PV10 = PV of $5,000 paid after another 5 years (after 3 years + 2 years + 5 years = 10) = $5,000 / (1 + 0.0179)^(10 * 4) = $2,459.04

Therefore, we have:

Original amount borrowed = PV3 + PV5 + PV10 = $4,041.18 + $3,506.45 + $2,459.04 = $10,006.67

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Answer:

list statements please or I cannot help you.

Step-by-step explanation:

or do you want me to make a statement?

Answer:  Conditional Statement

A conditional is of the form "if, then" which is often found in math classes and formal logic classes as well.

Answer:

Don't know the full answer, though I searched it up on brainly and found this:

Hopefully it can help you with whatever you are doing/taking.
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Answer:

272 m

Step-by-step explanation:

You have to devide the shape in 2.

Answer:

1. 05+02=07

   07+03=10

2. 05+04=09

    09+01=10

3. 05+01=06

   06+04=10

4. 05+03=08

   08+02=10

5. 17+03=20

6. 19+01=20

Step-by-step explanation:

(Answers are in bold)