Match each inequality to the number line that represents its solution:

Answer:

the area is 25/4 π

Step-by-step explanation:

diameter is 5 m

area will be 25/4π

Answer:

  17.9 m²

Step-by-step explanation:

The area of the deck is the difference between the area of the square and the area of the circular hot tub.

__

The area of the square is given by the formula ...

  A = s² . . . . where s is the side length

For a side length of 5 m, the area is ...

  A = (5 m)² = 25 m²

The area of a circle is found from the formula ...

  A = (π/4)d² . . . . where d is the diameter

For a diameter of 3 m, the area is ...

  A = (π/4)(3 m)² = 9/4π m² ≈ 7.069 m²

The area of the deck is the difference between the square area and the circle area:

  deck area = 25 m² -7.069 m² ≈ 17.9 m²

The area of the deck surrounding the hot tub is about 17.9 m².

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

[tex]\tan{\theta} = \frac{2}{3}[/tex]

[tex]\theta = \arctan{\left(\frac{2}{3}\right)}[/tex]

[tex]\theta = 33.69^\circ[/tex]

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The cost price of the product will be 25000.

From the information given, the cost price is 25000. The loss is 10%. This will be:

= 25000 - (10% × 25000)

= 25000 - 2500

= 22500

The tax is 13%. This will be:

= 22500 + (13% × 22500)

= 22500 + 2925

= 25425

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Answer:

123icuxxiffatjtjfug8utkxi93hkgodo c office c 8f

Step-by-step explanation:

9.25( 18.4 - 2.12)

9 × 25 ( 18×4 - 2× 1.2) (multiply)

9.25 ( 72 - 2.4) ( calculate)

9×25×69.5 (calculate)

(answer) 1566

Answer: 3x+1

Step-by-step explanation: See attachment

Answer:

B. Never

Step-by-step explanation:

that's just what my math teacher told us...

Answer:

32 km/hr

Step-by-step explanation:

Firstly, you need to find the speed of both trains in km/hr.

Paolo's train= (70km x 60hr)/35= 120 km/hr

Monika's train= 684km/4.5hr= 152 km/hr

Then find the difference in speed:

152-120=32 km/hr

Answer: two units to the left, four units down and reflected across the y axis

The point (0, 0) is a solution to which of these inequalities are satisfied. so option B. y-7<2x-6is the only correct answer.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

The point (0, 0) is a solution to which of these inequalities are satisfied.

A. y+7<2x - 6

      7 < -6

So, it is incorrect.

B. y-7<2x-6

      -7 < -6

So, it is correct.

C. y-6<2x-7

         -6 < -7

So, it is incorrect.

D. y+7<2x+6

7 < 6

So, it is incorrect.

Hence, option B is the only correct answer.

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Answer:

$15 is the answers

Step-by-step explanation:

please mark me as brainlest

Answer:

$ 35.00   is what you pay     $15.00 off original price

Step-by-step explanation:

30 % discount means you pay 70 %

$ 50 * .70 = $ 35 .00

Answer:

this is the answer

Step-by-step explanation:

a 65

b 650

c 52

d 3

Answer:38.9

Step-by-step explanation:

The solution to the equation of the polynomial function x³-5x+5 = 2x²-5  is (c) –2.24, 2, 2.24.

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Here, The function is given as:

         x³-5x+5 = 2x²-5

Split the function.

So, we have:

   y = x³-5x+5

   y = 2x²-5

Using a graphing calculator, we have the x coordinate at the point o intersection of both equations to be

x = –2.24, 2, 2.24

Hence, the solution to the equation is (c) –2.24, 2, 2.24

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Answer:

B.  7/2 miles per 1 hour

Step-by-step explanation:

The unit rate in this case ,means ,

the number of miles  for every 1 hour

Since Taylor walks 7 miles in 2 hours

Then

He walks 7/2 miles in 1 hour

Thus

The unit rate that Taylor walks at is :

7/2 miles per 1 hour

Step-by-step explanation:

square root 3 divided by

2

A)The formula for the average monthly cellular telephone bill in terms of the year will be A = 80.90(0.914)ⁿ⁻¹

B)The average monthly bill in 1993 willl be $ 61.77

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The formula for the average monthly cellular telephone bill in terms of the year willl be,

A=P(R/100)ⁿ

A = 80.90(0.914)ⁿ⁻¹

The average monthly bill in 1993 is found as ;

n=4 for 1993

A=P(R/100)ⁿ

A = 80.90(0.914)³⁻¹

A=$ 61.77

Hence the formula for the average monthly cellular telephone bill in terms of the year will be A = 80.90(0.914)ⁿ⁻¹ and the average monthly bill in 1993 willl be $ 61.77.

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The range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}

The domain is the independent value for which a function exists.

Given the function below;

f(x) = 3x^3

If the domain of the function is {2, 5}, the range are;

If x = 2

f(2) = 3(2)^3
f(2) = 3(8)

f(2) = 24

If x = 5

f(5) = 3(5)^3

f(5) = 3(125)

f(5) = 375

Hence the range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}

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Answer:

b = 4

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here ( h, k ) = (2, 5 ) , then

y = a(x - 2)² + 5

to find a substitute any point on the parabola into the equation

using (0, 1 ) then

1 = a(0 - 2)² + 5 ( subtract 5 from both sides )

- 4= a(- 2)²= 4a ( divide both sides by 4 )

- 1 = a

then

y = - ( x - 2)² + 5

   = - (x² - 4x + 4) + 5

    = - x² + 4x - 4 + 5

    = - x² + 4x + 1 ← in the form ax² + bx + c

with b = 4

Answer:

x=135°

Step-by-step explanation:

WZ is 180 degrees. Simply subtract 48 from 180.

180-45=135.

Hope this helps!

If not, I am sorry.

Answer:

The answer is 132

Step-by-step explanation:

For khan academy

Answer:

Whether you're buying a new car or a used car, or even leasing a car, you'll have to pay state sales tax. Nearly every state has a sales tax, ranging from under 3 percent to over 8 percent. The national average in the United States is 5.75 percent.

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The transformation is nonrigid because the segment lengths are not preserved.

The image related to the question cannot be found. However, the question can still be solved

The given parameters are:

From the question, we understand that the side lengths are not equal.

This means that the triangles are dilated.

And the scale factor of dilation is

Scale factor = 6/3 = 10/5 = 8/4

Scale factor = 2

The scale factor of dilation is 2

Dilation is a non rigid transformation.

Hence, the transformation is nonrigid because the segment lengths are not preserved.

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Answer:

The transformation is nonrigid because the segment lengths are not preserved.

Answer:

1) n = 5n - 7900

2) 1580

Step-by-step explanation:

first one you just set up an equation and second one you set up a different equation and solve for N ( I divided n by 5 to get the answer)

Answer:

Dot number 2. Makayla invests her money 2 years longer.

Step-by-step explanation:

Calvin 400$ with 5% interest compounded monthly will get you to 666.0294029241$ after 13 months or 1 year and 1 month

Makayla 300$ with 6% interest quarterly

1st year 378.743088$(4 quarters)

2nd year 478.1544223592$(+4 quarters)

3rd year 603.6589415506$(+4 quarters)

3rd year and 1 quarter 639.8784780436$

Answer:

So the second option is the answer: Makayla invests her money 2 years longer.

Step-by-step explanation:

Formula for compound interest: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Calvin:

[tex]A=658.80[/tex]

[tex]P=400[/tex]

[tex]r=0.05[/tex]

[tex]n=12[/tex]

[tex]t=?[/tex]

Makayla:

[tex]A=613.04[/tex]

[tex]P=300[/tex]

[tex]r=0.06[/tex]

[tex]n=4[/tex]

[tex]t=?[/tex]

Lets solve for [tex]t[/tex].

1)  Divide both sides of the equation by [tex]P[/tex].

[tex]\frac{A}{P} =(1+\frac{r}{n})^{nt}[/tex]

2)  Take the natural log of both sides.

[tex]ln(\frac{A}{P}) =ln((1+\frac{r}{n})^{nt})[/tex]

3)  Rewrite the right side of the equation using properties of exponents.

[tex]ln(\frac{A}{P}) =nt*ln(1+\frac{r}{n})[/tex]

4)  Divide each side of the equation by [tex]n*ln(1+\frac{r}{n})[/tex]

[tex]\frac{nt*ln(1+\frac{r}n)}{n*ln(1+\frac{r}n)}=\frac{ln(\frac{A}{P})}{n*ln(1+\frac{r}n)}[/tex]

5)  Cancel the common factor [tex]n[/tex] on the left side of the equation.

[tex]\frac{t*ln(1+\frac{r}n)}{ln(1+\frac{r}n)}=\frac{ln(\frac{A}{P})}{n*ln(1+\frac{r}n)}[/tex]

6)  Cancel the common factor of [tex]ln(1+\frac{r}{n})[/tex].

[tex]t=\frac{ln(\frac{A}{P)}}{n*ln(1+\frac{r}{n})}[/tex]

Now we have an equation for [tex]t[/tex] that we can use to answer your question.

For Calvin:

[tex]t=\frac{ln(\frac{658.80}{400)}}{12*ln(1+\frac{0.05}{12})}[/tex]

[tex]t=10[/tex]

For Makayla:

[tex]t=\frac{ln(\frac{613.04}{300)}}{3*ln(1+\frac{0.06}{3})}[/tex]

[tex]t=12[/tex]

So the second option is the answer: Makayla invests her money 2 years longer.

Note: This question took me 2 minutes to answer but typing it took 30. lol

Finding the constant of proportionality :

Finding y when x = 6 :

The value of y is 360 when x = 6.

Answer:

C) 15.5 units

Step-by-step explanation:

The measure of angle AVB = 131 degree .

A line with a starting point but extends upto infinity in one direction.

It is given that

Measure of angle AVF = 32

the measure of angle FVB = 2x + 9

the measure of angle AVB = 3x - 4

The angle AVB = AVF + FVB

this can be written as

3x- 4 = 2x+9 +32

x = 32+9+4

x = 45 degree

Therefore the measure of AVB = 3*45-4 = 131 degree

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The largest angle of the pentagon with the given ratio of angles is: 180°.

A pentagon is a 5-sided polygon with 5 interior angles that have a sum of 540 degrees.

If the ratio of the angles are: 1:2:2:3:4, then the largest angle would be calculated as shown below:

4/(1+2+2+3+4) × 540

4/12 × 540 = 180°

The largest angle is: 180°.

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The Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have a given two triangles as shown in the picture.

As we have given QR ⊥ PT

And

Angle QPR ≅ Angle STR  (given)

From the definition of the perpendicular line, the angle at the intersection will be a right angle or 90 degrees.

Angle QRP ≅ Angle SRT

By angle-angle or AA

Triangle PQR is similar to Triangle TSR

Thus, the Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .

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