What is the factorization of the polynomial below? x^3 + 8x^2 + 17x + 10

Answer:

1 1/2 feet

Step-by-step explanation:

Living Room Window: 2 5/6 feet wide

Bedroom Window: 1 1/3 feet wide

2 5/6 - 1 1/3 = 2 5/6 - 1 2/6 = 1 3/6 = 1 1/2

The width of the window of the living room is 2.125 times the width of the window of the bedroom.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Emily's living room window is 2 ⁵/₆ feet wide the window in her bedroom is 1 ¹/₃ foot wide.

Convert the mixed fraction into a fraction number, then we have

2 ⁵/₆ = 17 / 6

1 ¹/₃ = 4 / 3

The ratio of the width of the window of the living room to the window of the bedroom is calculated as,

⇒ (17/6) / (4/3)

⇒ (17/6) x (3/4)

⇒ 17/8

⇒ 2.125

The width of the window of the living room is 2.125 times the width of the window of the bedroom.

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Answer:

0.8941

Step-by-step explanation:

sin D = opp / hyp = 6 m  /  6.71 m  =  0.8941

Answer:

sin D = 0.8942

Step-by-step explanation:

In the given Δ BCD.

sin D = [tex]\frac{\text{Length of pole}}{\text{Length of guy wires}}[/tex] = [tex]\frac{CA}{CD}[/tex] = [tex]\frac{Height}{Hypotenuse}[/tex]

= [tex]\frac{6}{6.71}[/tex]

Sin D = 0.8942

Therefore, Answer is sin D = 0.8942

Answer:

r=2

Step-by-step explanation:

bring the numbers to the other sides

Answer:

dude what is r?

Step-by-step explanation:

for example

3 + 3z - 10

if z is 2

3 + 3 × 2 - 10

Answer:

the correct answer is rectangle

Step-by-step explanation:

Answer:

9 Grams

Step-by-step explanation:

You would move the decimal over 3 times to the left  from the end of 9000

To convert milligrams to grams, you should know that 1 gram is equal to 1000 milligrams. This is because "milli" in milligrams means one-thousandth of a gram.
If an energy bar contains 9000 milligrams of protein, to convert this amount to grams, you divide the milligrams by 1000 (because 1000 milligrams equals 1 gram).
Here's the calculation:
\( 9000 \text{ milligrams} \div 1000 = 9 \text{ grams} \)
So, an energy bar that contains 9000 milligrams of protein has 9 grams of protein.

Answer:

3

Step-by-step explanation:

As we move from A(2, 1) to B(5, 1), x increases by 3 but y stays the same.

Thus, the distance from A to B is simply 3.  This is the desired length.

The length of side AB would be 3 units,

As we move from A(2, 1) to B(5, 1), x increases by 3 but y stays the same.

Thus, the distance from A to B is simply 3.  This is the desired length.

I recommend using Desmos to quickly graph things (it's much faster than doing it yourself, I use it often. You can graph points and everything).

The picture ends up looking like the attachment I have below.

This is now a simple subtraction.

A is at 2 on the x-axis and B is at 5.

5-2=3

3 units.

A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

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Answer:

[tex]y+1=3(x+1)[/tex]

Step-by-step explanation:

step 1

Find the slope of the given line

[tex]m=(3+3)/(2-0)[/tex]

[tex]m=3[/tex]

step 2

Find the slope of the line that is  parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

therefore

the slope is equal to [tex]m=3[/tex]

step 3

Find the equation in point slope form

we have

[tex]m=3[/tex]

[tex]point (-1,-1)[/tex]

The equation of the line into point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

substitute

[tex]y+1=3(x+1)[/tex] ----> equation of the line into point slope form

Answer:

[tex]16(x^{2})[/tex]

Step-by-step explanation:

we know that

[tex](4x)^{2} =(4^{2})(x^{2})=16(x^{2})[/tex]

therefore

The expression in the form [tex]k(x^{n})[/tex] is equal to

[tex]k(x^{n})=16(x^{2})[/tex]

where

k=16

n=2

Answer:

You'd earn $825 in interest.

Step-by-step explanation:

The appropriate formula for simple interest is i = p·r·t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.  Because 8 months constitutes 2/3 year, we have:

i = $45,000·(0.0275)(2/3) = $825.

You'd earn $825 in interest.

Answer:

Final answer is x=23.

Step-by-step explanation:

Given that m∠A = 60°, m∠B = (3x − 2)°, m∠C = (2x + 7)°

We know that sum of all three angles of a triangle equals 180 degree.

So we can write equation:

m∠A + m∠B + m∠C = 180°

60° +(3x − 2)° + (2x + 7)°  = 180°

60 +3x − 2 + 2x + 7  = 180

67 +5x − 2  = 180

65 +5x  = 180

5x  = 180 - 65

5x  = 115

[tex]x=\frac{115}{5}[/tex]

x=23

Hence final answer is x=23.

Answer:

1

Step-by-step explanation:

Factorise numerators/ denominators where possible

3x² - 4x + 1 = (x - 1)(3x - 1)

x² - 1 ← is a difference of squares and factors as

x² - 1 = (x - 1)(x + 1)

Expressing the product in factored form

[tex]\frac{(x-1)(3x-1)}{(x-1)(x+1)}[/tex] × [tex]\frac{x+1}{3x-1}[/tex]

Cancel common factors on numerator/denominator, that is

Cancel (x - 1) , (x + 1) and (3x - 1), leaving the simplified form 1

Answer: 1

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

152+125=277

277-135=142

around 138

Answer:

105 square cm.

Step-by-step explanation:

The surface area of a square pyramid is

[tex]SA=A_{base}+4A_{lateral \ side}.[/tex]

1. The base is the square with side length of 5 cm, thus

[tex]A_{base}=5\cdot 5=25\ cm^2.[/tex]

2. The lateral side is the triangle with the base of 5 cm and the height of 8 cm. Thus,

[tex]A_{lateral \ side}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}=\dfrac{1}{2}\cdot 5\cdot 8=20\ cm^2.[/tex]

Now, the surface area of the pyramid is

[tex]SA=25+4\cdot 20=105\ cm^2.[/tex]

Answer:

The surface area of a square pyramid is: 105 cm^2

Step-by-step explanation:

The surface area of a pyramid is given by the following formula

[tex]A = l ^ 2 + 4 * (0.5) lh[/tex]

Where

l is the length of one of the sides of the square base

h is the height of the pyramid

We know that h = 8 cm and l = 5 cm

[tex]A = 5 ^ 2 + 4 * (0.5) * 5 * 8\\\\A = 25 + 2 * (40)\\\\A = 105\ cm ^ 2[/tex]

The error is identified in C. In step 2, he confused the multiplication and addition signs.

What is Calvin's error?

In step 2, he confused the multiplication and addition signs.

Step 1: -2/3 x (5 + 1/6)

Step 2: (-2/3 × 5) + (-2/3 × 1/6)

Step 3: -10/3 + -12/18

Step 4: -10/3 - 2/3

= (-10-2)/3

= -12/3

= -4

Therefore,

Calvin's answer should be negative 4

Complete Questiion:

Calvin evaluated -2/3 x 5 1/6 using the steps below.

Step 1: -2/3 x (5 + 1/6)

Step 2: (-2/3 + 5)x(-2/3 + 1/3)

Step 3: 4 1/3 x -1/3

Step 4: -2 1/6

Which describes Calvin’s error?

In step 1, he incorrectly broke up 5 1/6.

In step 2, he distributed the -2/3 instead of the 5.

In step 2, he confused the multiplication and addition signs.

In step 3, he computed the addition and multiplication incorrectly

Answer:

The relative maximum value is [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The given function is

[tex]g(x)=\frac{2}{x^2+3}[/tex]

We differentiate to obtain;

[tex]g'(x)=-\frac{4x}{(x^2+3)^2}[/tex]

At turning points [tex]g'(x)=-\frac{4x}{(x^2+3)^2}=0[/tex]

[tex]\implies x=0[/tex]

[tex]g''(x)=\frac{16x^2}{(x^2+3)^3}- \frac{4}{(x^2+3)^2}[/tex]

We apply the second derivative test to obtain:

[tex]g''(0)=\frac{16(0)^2}{((0)^2+3)^3}- \frac{4}{((0)^2+3)^2}=-\frac{4}{9}[/tex]

Since the second derivative is negative, there is a relative maximum at x=0.

We substitute x=0 into the original function to obtain the relative maximum value.

[tex]g(0)=\frac{2}{(0)^2+3}=\frac{2}{3}[/tex]

To find the relative maximum value of g(x) = 2/(x² + 3), one should evaluate the function at x = 0, giving the relative maximum value as 2/3.

The question is asking to identify the relative maximum value of the function g(x) = 2/(x² + 3).

To find the relative maximum, we need to find the critical points by taking the derivative of g(x) and setting it to zero. However, this function does not have a simple expression where the derivative is zero.

Instead, we note that because the denominator x² + 3 is always positive and has a minimum when x = 0, the function g(x) will have a maximum value when x = 0.

Thus, the relative maximum value of g(x) is obtained by plugging x = 0 into the function: g(0) = 2/(0² + 3) = 2/3.

Answer:

0i + 10j, or just 10j

Step-by-step explanation:

Vector u = <6, -4> and vector v = <12, 2>.

We are to find v - 2u, which is:

<12, 2> - 2<6, -4>.  We combine x components and y components to obtain:

<12-12, 2+8>, or <0, 10>.

In terms of i and j, that'd be 0i + 10j, or just 10j.

Answer:

v-2u=10j

Step-by-step explanation:

The component of vector v, are

u=<6,-4>

From the graph; vector u, has components.

v=<12,2>

We perform the subtraction;

v-2u=<12,2>-2<6,-4>

We multiply out the scalar to get:

v-2u=<12,2>-<12,-8>

This implies that;

v-2u=<12-12,2--8>

v-2u=<0,10>

v-2u=0i+10j

v-2u=10j

Answer:

Maya needs 33 bags

Step-by-step explanation:

Let's call x the number of bags of soil. If each bag contains 1.5 cubic feet, then "x" bags do not contain a volume of:

1.5x.

As a volume of 4.5 cubic feet has been published.

[tex]y = 4.5 + 1.5x[/tex]

We need 54 cubic feet.

Then [tex]y = 54[/tex]

[tex]54 =4.5 + 1.5x[/tex]

Now we must solve the equation for x.

[tex]1.5x = 54 -4.5[/tex]

[tex]1.5x = 49.5[/tex]

[tex]x =\frac{49.5}{1.5}\\\\x=33\ bags[/tex]

Answer:

The numbers are 578 and 264

Step-by-step explanation:

Let

x-----> the greater number

y----> the smaller number

we know that

x+y=842 -----> equation A

x-y=314 -----> equation B

Adds equation A and equation B

x+y=842

x-y=314

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

x+x=842+314

2x=1,156

x=578

Find the value of y

578+y=842

y=842-578=264

Answer: B.152

Step-by-step explanation:

5 * 8 = 40 * 2 = 80

6 * 8 = 48

4 * 6/2 = 12 * 2 = 24

80 + 48 + 24 = 152

The surface area of a triangular prism is determined by summing the areas of the five faces, which include two triangles and three rectangles. In the given example, the surface area totalled to 48 square cm.

The surface area of a triangular prism can be found by summing the areas of all the faces. In the case of a triangular prism, there are two triangular faces and three rectangular ones. To find the area of a rectangle, you multiply the length by the width. For the triangle, you use the formula 1/2(base x height).

Let's assume as an example that we have a prism where each rectangle has dimensions of 3 cm by 4 cm, and the triangles have a base of 3 cm and height of 4 cm.

Calculating for the rectangular faces: 3 rectangular faces x area of rectangle (3 cm x 4 cm) = 3 x 12 square cm = 36 square cm.

Calculating for the triangular faces: 2 triangular faces x area of triangle (1/2 x 3 cm base x 4 cm height) = 2 x 6 square cm = 12 square cm.

Adding all together, the total surface area is 48 square cm.

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Answer:

Step-by-step explanation:

[tex]V_p=6\\\\\text{Calculate the volume of a cube:}\\\\V_{c}=\left(\dfrac{1}{2}\right)^3=\dfrac{1}{8}\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{6}{\frac{1}{8}}=6\cdot8=48[/tex]

Answer: Choices 1, 3, and 5 are functions

Step-by-step explanation:

To be a function, the x value can only be used once. In choices 2 and 4, the x value is repeated; therefore they are not functions.

Answer:

Step-by-step explanation:

Answer:

The correct answer is  64a^6 - 27b^4

Step-by-step explanation:

It is given an expression,

(4a^2 - 3b^2)(16a^4 + 12a^2b^2 + 9b^4)

To find the correct answer

(4a^2 - 3b^2)(16a^4 + 12a^2b^2 + 9b^4)  can be written as,

(4a^2 - 3b^2)(16a^4 + 12a^2b^2 + 9b^4) = 4a^2 * (16a^4 + 12a^2b^2 + 9b^4) - 3b^2(16a^4 + 12a^2b^2 + 9b^4)

 = 64a^6 + 48a^4b^2 + 36a^2b^4 - 48a^4b^2 - 36a^2b^4 - 27b^4

 =  64a^6  - 27b^4 + 48a^4b^2 - 48a^4b^2 + 36a^2b^4 - 36a^2b^4

 = 64a^6 - 27b^4

Therefore the correct answer is  64a^6 - 27b^4

Answer:

[tex]64a^6-27b^6[/tex]

Step-by-step explanation:

Hope this helps:) Have a good day!!

Same side interior means that they have to be the angles inside the two parallel lines and on the same side

Look at the image below

The ones circled in pink is one set of same side interior and the ones in read are another

Hope this helped!

btw Only one of them is in the answer choices, but both are correct.

Answer:

The correct answer is last option

<3 and <5

Step-by-step explanation:

From the figure we can see that,

MP ║ JL and KN is the traversal

To find the same side interior

From figure we get,

same side interior angles are,

1).  <3 and < 5

2).  <4 and <6

From the given options the correct option is last option

<3 and <5

Answer:

d)13sin75/sin55

Step-by-step explanation:

1)Given

inΔVWU, ∠V= 75°

∠U= 50°

Finding ∠W:

∠W= 180-(75+50)

     =180-(125)

     = 55

Now finding x, using law of sine

x/sinV = 13/sinW

Putting the values in above we get:

x/sin75=13/sin55

Re-arranging, we get:

x= 13sin75/sin55 !

Answer:

12

Step-by-step explanation:

Absolute value means take the positive value of

3 |-4|

3 * 4

12

Answer:

27

Step-by-step explanation:

Using the process of elimination and since their is no -27, 27 must be the answer

The little bars on each side of the number -27 represent absolute value. This means that you must take the positive of the number inside the absolute value. In this case the positive of -27 is...

A. 27

Hope this helped!

I love Shawn Mendes. I'll marry him one day. You'll see

Answer:

The mean is 5 times

range - 6

mode - 3

median - 3

Step-by-step explanation:

to work out the mean you add 9+3+9+8+3+3+5+3+3 together which gives you 46 and then divide the answer by the total number of people which is 9 and the answer is 5.1 but you round it to 5

Answer: 26

Step-by-step explanation:

because...

Feet result: 0.18055555556 ft.

Calculation: 2.1666666666666665" / 12

= 0.18055555556ft

But at the end your answer is going to 26.

So 2.1666666666666665 = 26

* Hopefully this helps:)

* Mark me the brainliest:)!!

Answer:

Step-by-step explanation:

2  1/6 ft = 24 inches plus (1/6)(12 in), or 24 inches plus 2 inches, or 26 inches.

2  1/6 is ALREADY a mixed number, in feet.

Answer:

multiplication

Step-by-step explanation:

The investment as a function of time will be 500 + ((8 * t)/100)*500 where 't' represents the number of years.

Percentage is defined as a given part or amount in every hundred

Initial investment by Vince = $500

Increase percentage every year = 8%

Investment value after 1 year will be = 500 + ((8 * 1)/100)*500

Investment value after 2nd year will be = 500 + ((8 * 2)/100)*500

Continuing the pattern:

So, investment value after 't' years will be = 500 + ((8 * t)/100)*500

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Answer:

B

Step-by-step explanation:

The measure of the angle on the circle formed by the chords RS and TS is half the measure of the arc RT intersected by the 2 chords,

∠RST = 0.5 × 94° = 47° → B

Answer: 47

Step-by-step explanation: