Select True or False for each statement.
Statement True False
In the ordered pair (3, 5), the number 5 is the y-coordinate.
True – In the ordered pair ( 3, 5 ) , the number 5 is the y-coordinate.
False – In the ordered pair ( 3, 5 ) , the number 5 is the y-coordinate.
The origin has coordinates (0, 0).
True – The origin has coordinates ( 0, 0 ) .
False – The origin has coordinates ( 0, 0 ) .
The horizontal axis in a coordinate plane is the y-axis.

Answer:

1 - 52= 52 33= 33 52 > 33, so -52 dollars has the greater magnitude. 1 - 141 = 14 [23] = 23 14 < 23, so 23 feet has the greater magnitude.

Step-by-step explanation:

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Answer:

x=5

Step-by-step explanation:

12^2+x^2=13^2

144+x^2=169

x^2=169-144

x^2=25

x=5

Answer:

5in

Step-by-step explanation:

Sides known=12,13

According to Pythagoras theorem

H²=P²+B²

(13)²=(12)²+(x)²

169=144+x²

169-144=x²

25=x²

x=√25

x=5in

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[tex]~~~~~~ \textit{Savings Earned Amount} \\\\ S=P\left(1+r\right)^{t} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$14500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years\dotfill &5 \end{cases} \\\\\\ S=14500\left(1+0.075\right)^{5}\implies S=14500(1.075)^5\implies A\approx 20816.63[/tex]

Answer:

x=7

Step-by-step explanation:

3√(2-2x) + 1 = 13

subtract 1 from both sides

3√(2-2x) = 12

Divide 3 from both sides

√2-2x= 4

square both sides

2-2x = 16

subtract 2 from both sides

2x= 14

x=7

Answer:

BC = FE

Step-by-step explanation:

given ,

BA = FD and the measure of angle ABC = the measure of angle DFE

If we have BC = FE then according to the SAS criterion the two triangles are congruent

Answer:

5/6

Step-by-step explanation:

since there already is a common denominator all you have to do is add the numerators

Answer:

I only know the answer to second triangle only

As area is equal to half base * alltitude

So put the value in the formula

We get

24

Step-by-step explanation:

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Answer:

$ 62 244

Step-by-step explanation:

Commission  =   .09 * 691600 =

1) The net area between the two functions is 2.

2) The net area between the two functions is 4/3.

3) The net area between the two functions is 17/6.

4) The net area between the two functions is approximately 1.218.

5) The net area between the two functions is 1/2.

The area between the two curves is determined by definite integrals for a interval between two values of x. A general formula for the definite integral is presented below:

[tex]A = \int\limits^{b}_{a} {[f(x) - g(x)]} \, dx[/tex]   (1)

Where:

Now we proceed to solve each integral:

The lower and upper limits between the two functions are 0 and 1, respectively. The definite integral is described below:

[tex]A = \int\limits^1_0 {x^{0.5}} \, dx - \int\limits^1_0 {x^{2}} \, dx[/tex]

[tex]A = 2\cdot (1^{1.5}-0^{1.5})-\frac{1}{3}\cdot (1^{3}-0^{3})[/tex]

[tex]A = 2[/tex]

The net area between the two functions is 2. [tex]\blacksquare[/tex]

The lower and upper limits between the two functions are -3 and -1, respectively. The definite integral is described below:

[tex]A = - 4 \int\limits^{-1}_{-3} {x} \, dx - \int\limits^{-1}_{-3} {x^{2}} \, dx - 3 \int\limits^{-1}_{-3}\, dx[/tex]

[tex]A = -2\cdot [(-1)^{2}-(-3)^{2}]-\frac{1}{3}\cdot [(-1)^{3}-(-3)^{3}] -3\cdot [(-1)-(-3)][/tex]

[tex]A = \frac{4}{3}[/tex]

The net area between the two functions is 4/3. [tex]\blacksquare[/tex]

The definite integral is described below:

[tex]A = \int\limits^{1}_{0} {x^{2}} \, dx + 2\int\limits^{1}_{0}\, dx + \int\limits^{1}_{0} {x} \, dx[/tex]

[tex]A = \frac{1}{3}\cdot (1^{3}-0^{3}) + 2\cdot (1-0) +\frac{1}{2}\cdot (1^{2}-0^{2})[/tex]

[tex]A = \frac{17}{6}[/tex]

The net area between the two functions is 17/6. [tex]\blacksquare[/tex]

The definite integral is described below:

[tex]A = \int\limits^{0}_{-1} {e^{-x}} \, dx+ \int\limits^{0}_{-1} {x} \, dx[/tex]

[tex]A = -(e^{0}-e^{1}) + \frac{1}{2}\cdot [0^{2}-(-1)^{2}][/tex]

[tex]A \approx 1.218[/tex]

The net area between the two functions is approximately 1.218. [tex]\blacksquare[/tex]

This case requires a combination of definite integrals, as f(x) may be higher that g(x) in some subintervals. The combination of definite integrals is:

[tex]A = \int\limits^{\frac{\pi}{3} }_0 {\sin 2x} \, dx - \int\limits^{\frac{\pi}{3} }_{0} {\sin x} \, dx + \int\limits^{\frac{\pi}{2} }_{\frac{\pi}{3} } {\sin x} \, dx -\int\limits^{\frac{\pi}{2} }_{\frac{\pi}{3} } {\sin 2x} \, dx[/tex]

[tex]A = -\frac{1}{2}\cdot (\cos \frac{2\pi}{3}-\cos 0)+(\cos \frac{\pi}{3}-\cos 0 ) -(\cos \frac{\pi}{2}-\cos \frac{\pi}{3} )+\frac{1}{2}\cdot (\cos \pi-\cos \frac{2\pi}{3} )[/tex]

[tex]A = \frac{1}{2}[/tex]

The net area between the two functions is 1/2. [tex]\blacksquare[/tex]

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Answer: 2 1/3

Step-by-step explanation:

We first convert this to mixed number: 5/1 / 15/7

Then cross cancel and factor to get 7/3.

Lastly we convert this back to a  mixed number.

So we get 2 1/3 or 0.667 (decimal)

Answer:

The slope of the line is -1

Step-by-step explanation:

You need to use the slope formula

Slope Formula: y2 - y1 / x2 - x1

**The numbers represent subscripts but the subscripts aren't on computers**

Your Coordinate Points:

(7, -3) and (3, -7)

Do -7 - (-3) / 3-7

First, do -7 - (-3)

The negatives cancel to an addition problem.

-7 + 3

Now do -7 + 3. This is a subtraction problem that should be negative.

-7 + 3 = -4

Next, do 3 - 7

That should be 4

-4/4 is what we have right now.

Do -4 divided by 4 which has to contain a negative.

That is simply -1.

The slope of the line is -1

Step-by-step explanation:

1) if the initial figure ABCD, then the figure A'B'C'D' is reduction of the initial one.

2) the scale factor is 0.5: the ratio of all the corresponded coordinates is 2:1 [D(8;4) - D'(4;2); C(4;0)-C'(2;0); B(0;-2)-B'(0;-1) and A(-4;4)-A'(-2;2)].

Mark the quadrilaterals ABcD and A'B'C'D'

The image is reduced in size hence it's reduction

Take 2 sides two calculate scale factor

Scale factor:-

Answer:

5,011,542 nails - 45,078 bolts = 4,966,464 more nails sold than bolts

Step-by-step explanation:

Answer: median: 5

mode: 5.4

Range: 9

Step-by-step explanation:

Median: middle of the numbers

Mode: Add them all together and divide by number of terms

Range: Most minus least

We are given with an AP (Arithmetic Progression) with first term being -7, and the common difference being the difference between any succeding term from any term and the term itself, so common difference = -11 - (-7) = -11 + 7 = -4, so now before finding the sum of 21 terms, let's recall that ;

Where, d is the common difference, a is the first term, and n is the number of terms and [tex]{\bf S_n}[/tex], being the sum of n terms, so putting all the values in the formula, we will have ;

[tex]{:\implies \quad \sf S_{21}=\dfrac{21}{2}\{2\times -7+(21-1)-4\}}[/tex]

[tex]{:\implies \quad \sf S_{21}=\dfrac{21}{2}(-8+20\times -4)}[/tex]

[tex]{:\implies \quad \sf S_{21}=\dfrac{21(-8-80)}{2}}[/tex]

[tex]{:\implies \quad \sf S_{21}=\dfrac{21(-88)}{2}}[/tex]

[tex]{:\implies \quad \sf S_{21}=-21\times 44}[/tex]

[tex]{:\implies \quad \boxed{\bf{S_{21}=-924}}}[/tex]

Answer:

hi

7/14

I am sure is that

Answer:

slope is 1/2

Step-by-step explanation:

we rise 1 and run 2 which gives up y=1/2x

Answer:

45.5 and 17.5

Step-by-step explanation:

a)

b)

Answer:

make it clearer

Step-by-step explanation:

Answer:

x=1/4 Y=-1/2 z=1/3

Step-by-step explanation:

due to large fractions the answer is explained in the image above

Plug in the value of p:-

16+2q=40

Subtract 16 from both sides:-

2q=40-16

2q=24

Divide both sides by 2:-

q=12 ✓

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

x=-2

y=-11

Step-by-step explanation:

4x-3=-x-13

5x-3=-13

5x=-10

x=-2

y=4(-2)-3

y=-11

Answer:

Mean: 12.9

Mode: 14,15

Median: 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the length of semicircle

Find the perimeter

For rectangle

Perimeter:-

For semicircle:-

Perimeter:-

Total:-

Answer:

54

Step-by-step explanation:

A = 1/2 bh

A = 1/2 (6)(18)

A = 1/2 (108)

A = 54

Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the area of the obtuse triangle whose base is six units and height is eighteen 18 units.

A triangle whose any one of the angles is an obtuse angle or more than 90° is called Obtuse.

The area of triangle is 1/2×Base×Height

Half base times of height

Area of triangle=1/2×6×18

=54 square units

Area is 54 square units.

Hence, Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.

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Answer:

isosceles triangle is shown in fig

Answer:

A, C, D

All 3 of those simplfiy to 4√5

Answer:

x = 0, 6

Step-by-step explanation:

8x(x-6) = 0

x = 0, 6

Answer:y=x^2 translated 3 to the right gives

y=(x-3)^2,   the vertex shifts from (0,0) to (3,0)

translate it 4 up by adding 4

y=(x-3)^2 + 4, this shifts the vertex up to (3,4)

f(x) = (x-3)^2 + 4   or call it

g(x) = (x-3)^2 + 4  if you want to distinguish it from the original f(x) function

Step-by-step explanation:In this question we have been given a function f(x) = |x|

When we perform a translation of 4 units right then the translated form of the function becomes f(x) = |x - 4|

And when we we translate the function up by 2 units then the transformed form is f(x) = |x - 4| + 2

Therefore the given graph in option B is the correct option.

Using translation concepts, it is found that his mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Initially, researching the problem on the internet, it is found that the market is at position (3,8).

Then, it was shifted 2 units left and 3 units down, hence the new position is given by:

(3 - 2, 8 - 3) = (1,5).

His mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).

More can be learned about translation concepts at https://brainly.com/question/4521517