A window in the shape of a rectangle as shown below has a width of x+5 and a length of x^2- 3x+7 express the area of the rectangle as a single polynomial in simplest form

Answer: 6

Step-by-step explanation: -8 x -8 = 64

64 - -58 = 6

Answer:

The answer is 6.

Step-by-step explanation:

Since negative × negative = positive, therefore -8(-8)=64 and 64-58=6.

Answer:

4.55 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

your answer is 4.55 :)

Cos(90)= 0.00

It is only zero

The value of cosine  90°. or cos  90° is 0.

Trigonometric ratios are the ratios of the length of sides of a triangle.

In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent.

We know that,

According to the trigonometric table the value of cos 90° is 0.

i.e.,  cos 90°.

This is because there is no horizontal component of the angle: The horizontal component of the angle is 0, so, the cosine of 90° is 0.

In other words,

the cosine of an angle tells the size of the adjacent side of a right triangle compared to the hypotenuse. Look at the unit circle to see why the adjacent side (the x axis) has a width of 0 when the angle between the initial arm and the terminal arm is a right angle.

Thus, value of cos 90 is 0.

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Answer:

14

Step-by-step explanation:

Distance of the pathway around a park = 4 1/5 miles

Distances between lamppost = 3/20 miles

Numbers of 3/10 intervals

= 4 1/5 ÷ 3/10

= 21/5 x 10/3

= 14

Number of lamp posts = 14

28 because the number of spots in the pathway where the lampposts will be placed is 1/5 divided by 3/10=14. since each spot will have 2 lampposts, there will be 14*2=28 lampposts in all.

hope this helped!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

5; you add the two legs for the hypotenuse

Step-by-step explanation:

The length of the hypotenuse is 5 feet.

The hypotenuse is the opposite side of the right angle in the triangle. It’s also the longest side of the triangle.

The Pythagorean Theorem helps us calculate the hypotenuse of a right triangle if we know the sides of the triangle.

Here, a = 3 feet.

         b = 2 feet.

    Then hypotenuse will be = (√3 + √2) feet

                        = 5 feet.

The answer is 5 feet.

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Answer: 376.99 is the answer

ANSWER

The approximate circumference is 377 inches

EXPLANATION

The circumference of a circle is calculated using the formula

[tex]C=2 \pi \: r[/tex]

Where r=60 inches is the radius of the circle.

We substitute π=3.4 and the radius into the formula to obtain:

[tex]C=2 (3.14)(60) \: inch[/tex]

[tex]C = 376.8inches[/tex]

The approximate circumference of the circle is 377 inches.

Answer:

Final answer is [tex]y=3x-13[/tex].

Step-by-step explanation:

Given that slope of the line is m=3

Plug the given point (4,-1) and the slope m=3 into point sloep formula:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-(-1)=3\left(x-4\right)[/tex]

[tex]y+1=3\left(x-4\right)[/tex]

[tex]y+1=3x-12[/tex]

[tex]y=3x-12-1[/tex]

[tex]y=3x-13[/tex]

Which looks like slope intercept form of line y=mx+b

Hence final answer is [tex]y=3x-13[/tex].

The answer is:

The equation in slope-intercept form is:

[tex]y=3x-13[/tex]

To solve the problem and find equation in slope-intercept form of the line, we need to use the following formula:

[tex]y=mx+b[/tex]

We are given the slope of the line, so, rewriting we have:

[tex]y=3x+b[/tex]

Then, to find "b" we need to substitute the given point into the equation, so, substituting we have:

[tex]y=mx+b[/tex]

[tex]-1=3*(4)+b[/tex]

[tex]-1=12+b[/tex]

[tex]b=-1-12=-13[/tex]

Therefore, writing the equation of the line, we have:

[tex]y=3x-13[/tex]

Have a nice day!

Answer:

10000000

Step-by-step explanation:

Answer:

WRONG THE ANSWER IS ACUALLY C

Step-by-step explanation:

I know this because i decided to take th4e test use his answer and it was wrong telling me the right answer it's (c).

The equation that can be used to find the volume of the cylinder is V = π(4.5)²h (option C).

The equation that can be used to find the volume of the cylinder is V = π(4.5)²h (option C). To find the volume of a cylinder, you need to use the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. In this case, the radius is 4.5 cm and the height is not given, so it is represented as h. By substituting the values into the formula, you get V = π(4.5)²h.

Answer:

see below

Step-by-step explanation:

The function is only defined for x < 1, and is undefined for x=1 or more. Thus the graph stops at x=1, with an open circle indicating the function is not defined there.

Answer:

The required graph is shown in figure 1.

Step-by-step explanation:

Consider the provided function f(x)=x if x<1

Here the sign of inequality is x<1.

That means the value of x can be anything less then 1.

Note the sign "<" indicates that the value x is strictly less than 1 also it is not equal to 1.

For x=1 the function is not defined.

For the inequity "<" and ">" we use an open dot or open circle which shows that the value is not included.

Now draw the table and substitute some value of x as shown.

Substitute x=0 in the provided equation.

f(x)=0

For x=0 the value of f(x) is also 0.

Substitute x=-1

f(x)=-1

For x=-1 the value of f(x) is also -1.

Substitute x=-2

f(x)=-2

For x=-2 the value of f(x) is also -2.

The required table is shown below:

x   0  -1  -2

f(x) 0  -1  -2

Now plot the above points and join them.

The required graph is shown in figure 1.

Answer:

x < - 1

Step-by-step explanation:

Given

5x + 8 < 3(x + 2) ← distribute

5x + 8 < 3x + 6 ( subtract 3x from both sides )

2x + 8 < 6 ( subtract 8 from both sides )

2x < - 2 ( divide both sides by 2 )

x < - 1

The inequality 5x + 8 < 3(x + 2) simplifies to x < -1.

To solve the inequality 5x + 8 < 3(x + 2), we must simplify and isolate the variable x. We start by distributing the 3 on the right side:

5x + 8 < 3x + 6

Next, we'll subtract 3x from both sides to get:

2x + 8 < 6

Now subtract 8 from both sides to isolate the term with x:

2x < -2

Finally, we divide both sides by 2:

x < -1

The solution to the inequality is all x-values that are less than -1.

The total cost of 1 pair of pants and 1 shirt is $18 . If s represents the cost of 1 shirt, which equation could you use to find .

For this case we propose a system of equations:

p: Variable representing the cost of a pair of pants

s: Variable representing the cost of a shirt

A pair of pants costs twice as much as a shirt, means:

[tex]p = 2s[/tex]

The total cost of 1 pair of pants and 1 shirt is $ 18:

[tex]p + s = 18[/tex]

We substitute the first equation in the second:

[tex]2s + s = 18\\3s = 18\\s = \frac {18} {3}\\s = 6[/tex]

Answer:

The following equation can be used:

[tex]2s + s = 18[/tex]

Cafeteria ratio of Swiss cheese to cheddar cheese is 15:17.

Perry’s ratio of Swiss chess to cheddar cheese is 5:7.

Wrong ratio because 5 * 3 = 15 but 7 * 3 does not equal 17.

For this case we have that by definition, it is known as proportion to the relationship of equality that exists between two reasons, that is, between two comparisons. That is: if [tex]\frac {a} {b}[/tex]is a ratio, then the equality [tex]\frac {a} {b} = \frac {c} {d}[/tex] will be a proportion.

Then, 15 cups of Swiss cheese for every 17 cheddar:

1[tex]5:17\\\frac {15} {17}[/tex]

We want to verify the proportion:

[tex]15:17 :: 5: 7\\\frac {15} {17} = \frac {5} {7}\\7 * 15 = 5 * 17[/tex]

Equality is not met!

Answer:

You are not using the correct proportion

Answer:

A.) 30

Step-by-step explanation:

The entire figure consists of two angles supplementary to each other, which means that ∠YWZ + ∠ZWX = 180°. Since ∠ZWX is 20°, we know that ∠YWZ is 160°.

So now we have an equation to solve:

5x + 10 = 160

     - 10     - 10

5x = 150

÷ 5   ÷ 5

x = 30

Answer: Last option.

Step-by-step explanation:

We need to apply the Rule for 90° counterclockwise rotation about the origin. Given a point [tex]P(x,y)[/tex]:

[tex]P(x,y)[/tex] → [tex]P'(-y,x)[/tex]

We can observe in the figure that the coordinates of the points E, F, G and H are:

[tex]E (2,6)[/tex]

[tex]F(7,-4)[/tex]

[tex]G(-2,-7)[/tex]

[tex]H (-5,1)[/tex]

Then, applying the rule, we get the coordinates of the new location of the figure EFGH:

[tex]E (2,6)[/tex] → [tex]E'(- 6,2)[/tex]

[tex]F(7,-4)[/tex] → [tex]F'(4,7)[/tex]

[tex]G(-2,-7)[/tex] → [tex]G'(7,-2)[/tex]

[tex]H (-5,1)[/tex] → [tex]H'(-1,-5)[/tex]

Answer:

18. 36.36%

22. 53.71

Step-by-step explanation:

Answer:

step 2

Step-by-step explanation:

Given step 1

324π = π × 12² h

Then second step should read

324π = π × 144h ← 144 not 24 is the error

Answer:

The period is 360° ( in radians, the period is 2π)

Step-by-step explanation:

For a sine/cosine (sinusoidal) function in the form

y = ASin(Bx-C) + D, we can say

A is the amplitude

360/B is the period

C is the phase shift

D is the vertical translation

The function given is y = 2Sinx

To find the period, we need 360/B. Since "B" is just "1", the period is

360/1 = 360

Answer:

The period of the function [tex]y = 2sinx[/tex] is [tex]2\pi[/tex]

Step-by-step explanation:

The sinosuidal functions have the following form

[tex]y = Asin (bx) +k[/tex]

Where A is the amplitude of the function

k is the vertical displacement

[tex]\frac{2\pi}{b}[/tex] is the period.

In this case we have the function

[tex]y = 2sinx[/tex]

Therefore the amplitude A = 2

The vertical displacement is k = 0

The period is [tex]\frac{2\pi}{1} = 2\pi[/tex] because b=1

Therefore the function completes a cycle every [tex]2\pi[/tex]

Answer:

BC = 144 units

Step-by-step explanation:

It is given a line segment BC.

D is the point on the line segment.

To find the length of BC

BC = 8x

CD = 3x + 8  and BD = 4x + 10

BC = CD + BD

8x = 3x + 8 + 4x + 10

8x = 7x + 18

x = 18

BC = 8x = 8 * 18 = 144 units

Therefore the length of segment BC = 144 units

Segment BC is 144 units

the answers are 15 times 4.

Answer:

B

Step-by-step explanation:

To solve this, we can plug in values to see which one works. Since it is a variable equals a variable, the answer is B(0,0)

Answer:C 30

Step-by-step explanation: They all divide evenly when divided by 30.

Answer:

the function g(X) is a translation of [tex]f(x) = \sqrt{x}[/tex]

the range is {y|y≥-1}

the function g(x) can be translated 3 units right and 1 unit up to get the function [tex]f(x) = \sqrt{x}[/tex]

Step-by-step explanation:

Given the graph of a function g(x)

g(x) looks like a square root function

So parent function is [tex]f(x) = \sqrt{x}[/tex]

the function g(X) is a translation of [tex]f(x) = \sqrt{x}[/tex]

the domain is {x| x ≥ -3}

the range is {y|y≥-1}

The parent function [tex]f(x) = \sqrt{x}[/tex] starts at (0,0)

so g(x) is translated 3 units left and 1 unit down

the function g(x) can be translated 3 units right and 1 unit up to get the function [tex]f(x) = \sqrt{x}[/tex]

Answer:

The correct options are 1, 3 and 5.

Step-by-step explanation:

The given function is a continuous increasing curve which is increasing at decreasing rate. It means it is the graph of a radical function.

Parent radical function is

[tex]f(x)=\sqrt{x}[/tex]

It means function g(x) is the translation of function [tex]f(x)=\sqrt{x}[/tex]. Option 1 is correct.

Domain is the set of input values.

Function is defined for all x ≥ -3.

Domain = { x |  x ≥ -3 }

Option 2 is incorrect.

Range is the set of output values.

The values of the function are always greater than or equal to -1.

Range = { y |  y ≥ -1 }

Option 3 is correct.

The graph of parent function [tex]f(x)=\sqrt{x}[/tex] shifts 3 units left and 1 unit down to get the graph of g(x). So the function g(x) is defined as

[tex]f(x)=\sqrt{x+3}-1[/tex]

Option 4 is incorrect.

The function g(x) can be translated right 3 units and up 1 unit to create the function [tex]f(x)=\sqrt{x}[/tex].

Option 5 is correct.

The formula for finding the circumference of the circle is 2 pi r or pi d. R stand for radius and D stand for diameter. The problem gave you the length of the diameter so can either put it in form of pi as in 30pi or multiply it by pi (3.14) which will give you the result of 94.2

Answer:

- 30pi

- 94.2

ANSWER

[tex]y = 5 \sin( \frac{6}{5} x - \pi)-4 [/tex]

EXPLANATION

The given function is

[tex]y = 5 \cos( \frac{3}{5} x - \pi) + 4[/tex]

The period of this function can be determined using the formula:

[tex]T= \frac{2\pi}{ |b| } [/tex]

.

The period is

[tex]T= \frac{2\pi}{ \frac{3}{5} } = \frac{10\pi}{3} [/tex]

Half the period of this function is:

[tex] \frac{ \frac{10\pi}{3} }{2} = \frac{5\pi}{3} [/tex]

The function which has this period is

[tex]y = 5 \sin( \frac{6}{5} x - \pi) -4[/tex]

The first choice is correct.

Answer:

6 inches

Step-by-step explanation:

area of triangle = 1/2 b* h

24 = 1/2 * 8* h

4h = 24

divide both sides by 4

h = 6 inches

Area is 1/2 x base x height.

24 = 1/2 x 8 x H

Multiply both sides by 2:

48 = 8 x Height

Divide both sides by 8:

Height = 48 / 8

Height = 6 inches.

Solution:

Given :

So, We have to find the area of Triangle .

Area of triangle = 1/2*b×h, Where represents

Step : Substitute those value in Formula;

Area of triangle = 1/2 × b × h

Area of triangle = 1/2 × 19 × 11

Area of triangle = 104.5 units Square

Therefore, Option B is correct Answer.

Area of triangle is 104.5 units Square.

One of the most fundamental geometric shapes is the triangle. The simplest and most widely used formula is area = 0.5 * b * h, where b is the triangle's base length and h is the triangle's height or altitude. Almost everyone knows this formula from school.

Given :

Base of triangle = 19

Height of triangle = 11

So, We have to find the area of Triangle .

Area of triangle = 1/2*b×h, Where represents

B represent Base

H represent Height

Step : Substitute those value in Formula;

Area of triangle = 1/2 × b × h

Area of triangle = 1/2 × 19 × 11

Area of triangle = 104.5 units Square

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The answer is logarithmic

Answer:

Logarithmic .

Step-by-step explanation:

When we evaluate the logarithmic expression then we prepared to work

with logarithmic function

If , I want to solve the logarithmic expression then first we should  know about the logarithmic theorem rules .

If ,I don't know about the logarithmic rules then we can't evaluate the logarithmic expression.

So , first we should do practice with logarithmic function and we should know  how to use of logarithmic rules during evaluating the logarithmic expression .

Logarithmic rules :

[tex]Log \frac{m}{n}= log m - log n[/tex]

[tex]log m\times n= log m+ log n[/tex]

[tex]log a^b= bloga[/tex]

For example ; we have [tex]log\frac{3}{4}[/tex]

Therefore, by using logarithmic rule then we get

[tex]log\frac{3}{4} = log 3- log 4[/tex]

Therefore, if i want to evaluate the logarithmic expresssion then  i will be prepared to work with logarithmic function .

f(x) = x³ – 2x² – x + 2

 0 = x3 – 2x2 – x + 2

 (x-2)(x-1)(x+1)=0

 x1=-1

 x2=1

 x3=2

For this case we must follow the steps below:

We factor the polynomial, starting by factoring the maximum common denominator of each group:

[tex]x ^ 2 (x-2) - (x-2)[/tex]

We factor the maximum common denominator[tex](x-2):[/tex]

[tex](x-2) (x ^ 2-1)[/tex]

Now, by definition of perfect squares we have:

[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]

Where:

[tex]a = x\\b = 1[/tex]

Now, we can rewrite the polynomial as:

[tex](x-2) (x + 1) (x-1)[/tex]

To find the roots we equate to 0:

[tex](x-2) (x + 1) (x-1) = 0[/tex]

So, the roots are:

[tex]x_ {1} = 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]

Answer:

[tex]x_ {1} = 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]

Answer:

78

Step-by-step explanation:

78 is the answer because if you count inwards then you get 78

Answer:

D

Step-by-step explanation:

add them all except 50 divide by 9 because only used 9.