Let R be the region in the first quadrant bounded above by the graph of y=1−x^2 and below by the graph of y=1−√x, as shown in the figure above. What is the area of the region?

Answer:

Top-left system: (3,5)

Bottom-right

system: (-1,0)

Step-by-step explanation:

One way to solve a system of equations is to graph them. The solution is the point of intersection (where the lines cross). If you need to give the x-value and y-values separately, the first number in the pair is the x and the second number is the y.

Answer:

a. 1

Step-by-step explanation:

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

The ratio is 1:3

[tex]x+2=3x[/tex]

[tex]2=3x-x\\2=2x\\[/tex]

x = 2/2 = 1

Hope this helps

Answer:

x=3

Step-by-step explanation:

15 divided by 5= 3

5(3)=15

so x=3

Answer:
Base: 15.1 ft
Height: 11.1 ft

Step-by-step explanation:

(15.1 x 11.1)/2 = 84.07

84.07 ≈ 84

This is the closest answer.

Answer:

It is an acute truangle.

Step-by-step explanation:

It is an acute triangle since all of the side are less than 90 degrees.

The subfuctions of the piecewise function f(x) are linear functions

The matching values of the domain values with the range values are

x       f(x)

-4      -7

-2      -8

0       -2

2       4

4      -4

8     -12

The function is given as:

[tex]f(x) = \left[\begin{array}{cc}x-3&x\le-4\\3x-2&-4 < x\le 2\\-2x+4&x > 2\end{array}\right][/tex]

The above definition means that:

Using the above highligts, we have:

f(-4) = -4 - 3 = -7

f(-2) = 3(-2) - 2 = -8

f(0) = 3(0) - 2 = -2

f(2) = 3(2) - 2 = 4

f(4) = -2 * 4 + 4 = -4

f(8) = -2 * 8 + 4 = -12

So, the matching values are

x       f(x)

-4      -7

-2      -8

0       -2

2       4

4      -4

8     -12

Read more about piecewise functions at:

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Answer:

The relative minimum is (3,-4) and the relative maximum is (-2,1)

Step-by-step explanation:

The first step is to take the derivative of f(x)

By using the power rule which is d/dx x^n=nx^n-1 you will find that the derivative is 6x^2-6x-12

The next step is to set the derivative = to 0 and by doing that you will obtain x being equaled to -2 and 3

Put -2 and 3 on a sign chart and determine the behavior for both of those functions

The outcome of your sign chart should be + - + because of the odd multimplicity of (x-3) and (x+2).

The next step is to find the f(x) values or y values of your two points

By plugging in 3 into f(x), you get -4 and by plugging in -2 into f(x) you get 1

Since there was interval given, I cannot find the absolute extremas of this function.

Answer:

75; 76; 77

Step-by-step explanation:

four times the sum of 3 consecutive numbers

first number is X

second is X+1

third is X+2

4 × (x + x+1 + x+2) = 912

4(3x + 3) = 912

12x = 912 - 12

x = 900/12

x = 75

the three numbers are : 75 , 76 , 77

[tex]\sf\huge\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex]Let the women's height be AE and distance between the women and tower be AC.

Also let the height of tower be BC.

[tex]\rightarrow[/tex]Now, clearly it is forming a triangle.

So, in triangle ABC,

[tex]\rightarrow[/tex][tex]\sf{Tan50° \:= \: \frac{BC}{AC}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{1.19 \:= \: \frac{BC}{50}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{1.19 ×50\:= \: BC}[/tex]

[tex]\rightarrow[/tex][tex]\sf{59.5m\:= \: BC}[/tex]

[tex]\rightarrow[/tex]Hence, BC = 59.5m

So, BD(total height of the tower)[tex]\sf{ = \:BC+CD}[/tex]

[tex]\sf{= \:59.5+1.65}[/tex]

[tex]\sf{=\: 61.15m}[/tex]

Therefore, total height of the tower =[tex]\sf\purple{ 61.15m.}[/tex]

________________________________

Hope it helps you:)

Answer:

61.24 m to the nearest hundredth.

Step-by-step explanation:

tan 50 = H / 50  

H =  50 tan 50

Height of the tower = H + height of the woman

= 50 tan 50 + 1.65

= 61.2377 m

Answer:

312

Step-by-step explanation:

First we find the measure of the basea and that is 144 becuase 12x12

To find one side we do b*h over 2 and that is 7x12/2 which is 42 then we know that there are 4 more of those sides and we get 42*4 168

When we add 144+168 we will get 312

[tex]x^2-100\\\\=x^2-10^2\\\\=(x+10)(x-10)\\\\\text{The difference of two squares formula is}~ a^2 -b^2 =(a+b)(a-b),\\\\\text{So, the student did not apply it properly}[/tex]

Answer: 329.55

Step-by-step explanation: multiple 8.45 by 39 which is 329.55

8.45 * 39 = 329.55

Answer:

—7/3

Step-by-step explanation:

1) Choose two points on it.

like (1,3) and (4,—4)

2) slope is

[tex]slope = \frac{y2 - y1}{x2 - x1} = \frac{3 + 4}{1 - 4} = \frac{7}{ - 3} = - \frac{7}{3} [/tex]

Answer:

-7/3

Step-by-step explanation:

Slope formula:

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

The two points on the graph are (1,3) and (4,-4).

Substitute into the formula:

[tex]\frac{-4 - 3}{4 - 1}[/tex]

Simplify:

[tex]\frac{-4 - 3}{4 - 1} = \frac{-7}{3}[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think we should add all the numbers when you multiply them by 5 then you will get 8.8

Answer:

yes ,because the average human hight

cannot exceed 7squared feets

Without knowing the dimensions of the box or the size of the person, we cannot determine whether the person can fit inside the box or not.

In mathematics, a box is a three-dimensional shape that has six rectangular faces.

It is also called a rectangular prism.

The faces on opposite sides of a box are congruent and parallel. A box has a height, width, and length, which are usually labeled as h, w, and l.

The volume of a box can be found by multiplying its length, width, and height: V = l × w × h.

We have,

The volume of a box is a measure of the amount of space inside the box, typically measured in cubic units such as cubic feet or cubic meters.

If a box has a volume of 42 cubic feet, it is simply telling us the amount of space inside the box.

Whether a person can fit inside the box or not depends on the size of the box and the size of the person.

Without knowing the dimensions of the box or the size of the person, we cannot determine whether the person can fit inside the box or not.

So,

We need more information to answer this question.

Thus,

Without knowing the dimensions of the box or the size of the person, we cannot determine whether the person can fit inside the box or not.

Learn more about box here:

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Answer:

the slope intersection is xy

y=-3x+4

Hope it helps.

Do comment if you have any query.

Answer:

If the polynomial is degree 3, then it is of the form y = Ax3 + Bx2 +Cx + D

And if the zeros are -2 with multiplicity of 1, then the factor is (x+2)1 = x+2

The other zero is -4 with multiplicity of 2, so it's factor is (x+4)2 = x2 +8x+16

So in general, if we let A = 1, then the polynomial is y = (x+2)(x+4)2 which multiplies out to

(x+2)(x2+8x+16) = x3 + 8x2 + 16x + 2x2 + 16x + 32

Combining like terms gives the polynomial:

y = x3 +10x2 + 32x + 32

If A is not 1, then y = A(x3 +10x2 + 32

Answer:

45 boxes.

Step-by-step explanation:

30 / 2/3

= 30 * 3/2

= 90/2= 45

You would show the answer choices for this one. 5/8 x 3/8 is 15/64 or about 0.234375.

Answer:

Step-by-step explanation:

Calculating slope

Y-intercept : (0, 3)

Equation of line

Inequality

Answer:

Fracción

3/4

Fracciones equivalentes

6/8

Decimal

0,75

Answer:

3/4.

Step-by-step explanation:

0.75 = 75/100

= 3/4

Answer:

5.6 × 10⁻⁵ mol/L

Step-by-step explanation:

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2}~~ \begin{cases} r=radius\\ \theta =\stackrel{radias}{angle}\\[-0.5em] \hrulefill\\ r=\frac{8}{3}\\ \theta =\frac{\pi }{2} \end{cases}\implies A=\cfrac{~~ \left( \frac{\pi }{2} \right)\left( \frac{8}{3} \right)^2~~}{2}\implies A=\cfrac{~~ \left( \frac{\pi }{2} \right)\left( \frac{64}{9} \right)~~}{2} \\\\\\ A=\cfrac{~~\frac{32\pi }{9} ~~}{\frac{2}{1}}\implies A=\cfrac{32\pi }{9}\cdot \cfrac{1}{2}\implies A=\cfrac{16\pi }{9}[/tex]

Answer:

im sorry I don't know I didn't do this in school

The change that will occur to the mean, median, mode of the data matched as follows:

1. e

2. b

3. d

4. a

5. c

To find the mean, the sum of all the values is divided by the number of values.

Given the data, 90, 85, 35, 70, 67, 76, 90, 79, 94, 100, 87, 61, 56, 80, 67, 65, therefore:

1. 35 is an extreme value, so it is an outlier. If we remove 35, the greatest change will be on the mean. (e)

2. If we remove 90, 67 will have the highest frequency. This means the mode of the data will change to 67. (b)

3. If 76 is removed from the data, the median of the data would be 79. (d)

4. If we remove 100, the range of the data would be, 94 - 35 = 59. (a)

5. If we remove 94, the mean of the data = 1108/15 = 73.87

This means the mean of the data will change to 73.87 if we remove 94. (c)

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Answer:

1/6 probability that you choose red

1/6 probability that you choose blue

Step-by-step explanation:

There are 6 marbles and only one is red, same with blue, so out of six times you pick a marble you will get the blue once and red once.