the graph of a function never has two diferent points with the same x coordinate because ​

Answer:

6pi; 27pi

Step-by-step explanation:

Since 4:00 is 120 degrees on a clock, then it is 120/360 or 1/3 of the clock. Now let’s find the arch length! Since the radius of the clock is 9, then the circumference will be 18pi. Since 1/3 of the clock is 4:00, then the arc length is 1/3 of the circumference. SO the arc length is 6pi.

Now let’s find the area of the sector. Since the radius is 9, then the area is 81pi. So 1/3 of that is 27pi.

[tex]\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-4}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{-1} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} \boxed{0}&\textit{one solution}~~\checkmark\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ 4^2-4(-4)(-1)\implies 16-16\implies \boxed{0}[/tex]

I would use the centimeter to measure the height of a bird.

I’m assuming centimeters because km is like miles and mm is for something else not for height

Answer:

60°

68°

76°

193°

Step-by-step explanation:

step 1

Calculate the sum of the interior angles in a pentagon

The formula to calculate the sum of the interior angles is equal to

S=(n-2)180°

where

n is the number of sides

In this problem

n=5 sides

substitute

S=(5-2)180°=540°

step 2

Find the value of x

(x-8)+(3x-11)+(x+8)+(x+(2x+7)=540°

(8x-4)=540°

8x=540°+4°

x=544°/8=68°

step 3

Find the measures of the internal angles of the pentagon

(68-8)°=60°

(3*68-11)=193°

(68+8)=76°

68°

(2*68+7)=143°

was the answer they put right?

Final answer:

The angle between the longest side and the diagonal of a 577mm by 1000mm rectangle can be found by first calculating the diagonal using the Pythagorean theorem and then using the arccosine function to find the angle with the longest side.

Explanation:

To calculate the angle between the longest side of a 577mm by 1000mm rectangle and the diagonal, we first need to determine the length of the diagonal using the Pythagorean theorem. The diagonal (d) can be found using the formula d = [tex]\sqrt{(width^2 + height^2)}[/tex]. After calculating the diagonal, we can find the angle using trigonometric ratios, specifically the arccosine function or cos-1.

Step 1: Calculate the diagonal
d = [tex]\sqrt{(577mm^2 + 1000mm^2) }[/tex]=  [tex]\sqrt{(333929 + 1000000) }[/tex] = [tex]\sqrt{1333929}[/tex] ≈ 1155mm

Step 2: Calculate the angle
The angle (θ) between the longest side (adjacent side) and the diagonal (hypotenuse) is given by:
θ = cos-1(adjacent side / hypotenuse) = cos-1(1000mm / 1155mm)

To find the angle, use a calculator to compute the arccosine of 1000/1155.

All sides of a square/cube are the same. Since this is a cube, you'll find the volume by "cubing" (get it?) 4.4m.

4.4³ or 4.4 * 4.4 * 4.4 = 85.184m³ but you can round that to 85m³

I hope that helps!

Step-by-step explanation:

We know that g^4 is g multiplied by itself 4 times, so it has to be g·g·g·g.

We know that 4g is g 4 times, which means it is g+g+g+g.

It's important to focus on the fact that g^4 is g multiplied by itself 4 times, while 4g is g multiplied by 4.

Answer:

Step-by-step explanation:

We know that g^4 is g multiplied by itself 4 times, so it has to be g·g·g·g.

We know that 4g is g 4 times, which means it is g+g+g+g.

It's important to focus on the fact that g^4 is g multiplied by itself 4 times, while 4g is g multiplied by 4.

Step-by-step explanation:

All you have to do is divide 9/50, which equals 0.18 Move the decimal 2 units to the right to get 18% as your answer

Hope this helps you!

The 9 is 18% percent of 50.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 18\div 100\\\\= 9\div 50[/tex]

So here we can conclude that The 9 is 18% percent of 50.

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Answer:

45 degrees

Step-by-step explanation:

Inscribed angles are always half of the value of the central angle, therefore half of 90 degrees would be 45 degrees.

Answer:

6(N + 12) = 40

Step-by-step explanation:

Number = N

Sum of a number and twelve:

N + 12

Six times the sum of a number and twelve:

6(N + 12)

Six times the sum of a number and twelve is forty:

6(N + 12) = 40

Answer:

6(N+12) = 40

Step-by-step explanation:

The statement says six times the sum . . .

From this we can tell that the answer will be 6 times two numbers added together. Those two numbers are "a number" (some variable) and 12.

We can tell that the variable is N, so it answer must be 6(N + 12) = 40

Answer:

6

Step-by-step explanation:

Answer:

smallest value of x = -1

Largest value of x = 7

Step-by-step explanation:

[tex]x^2-6x=7[/tex]

coefficient of x = -6

Half of the coefficient of x = -6/2 = -3

Square of the half value [tex]=(-3)^2=9[/tex]

Add the square value on both sides of equation

[tex]x^2-6x+9=7+9[/tex]

[tex](x-3)^2=16[/tex]

Take square root

[tex]x-3= \pm \sqrt{16}[/tex]

[tex]x-3= \pm 4[/tex]

[tex]x-3=+4[/tex] or [tex]x-3=-4[/tex]

[tex]x=+4+3[/tex] or [tex]x=-4+3[/tex]

[tex]x=7[/tex] or [tex]x=-1[/tex]

Hence smallest value of x = -1

Largest value of x = 7

ANSWER

[tex]( f \circ \: g)( - 5)= -53[/tex]

EXPLANATION

The given functions are:

f(x) = -­2x ­- 7 and g(x) = ­-4x + 3

[tex]( f \circ \: g)(x) = f(g(x))[/tex]

[tex]( f \circ \: g)(x) = f( - 4x + 3)[/tex]

[tex]( f \circ \: g)(x) = - 2( - 4x + 3) - 7[/tex]

Expand:

[tex]( f \circ \: g)(x) = 8x - 6 - 7[/tex]

[tex]( f \circ \: g)(x) = 8x - 13[/tex]

We substitute x=-5

[tex]( f \circ \: g)( - 5) = 8( - 5) - 13 = -53[/tex]

Answer:

y=48

Step-by-step explanation:

5/7=35/y+1

Step 1: Cross-multiply.

5 /7=35/y+1

5*(y+1)=(35)*(7)

5y+5=245

Step 2: Subtract 5 from both sides.

5y+5−5=245−5

5y=240

Step 3: Divide both sides by 5.

5y /5=240/5

y=48

HOPE THIS HELPS!!

The bottom is a square with a side length of 2 ft.

The area of a square is Area = S^2 = 2^2 = 4 square ft. Bottom)

The area of one side ( triangle) = 1/2 x base x height = 1/2 x 2 x 4 = 4 square ft.

There are 4 triangles: 4 x 4 sq. ft. = 16 sq.ft. ( four sides)

Total area = four sides + bottom =  16 + 4 = 20 feet^2

Answer:

19

Step-by-step explanation:

It is all prime numbers. The next prime number after 17 is 19.

Answer:

width = 2ft and length = 9ft

Step-by-step explanation:

width W = x

length L = x +7

area of a rectangle A = L * W

18 = (x + 7) * x

18 = x² + 7x

x² + 7x -18 =0

solve the equation by factorisation

x² -2x + 9x - 18 =0

x(x - 2) + 9(x - 2) =0

(x - 2)(x + 9) = 0

x = 2 and -9

therefore the width is 2ft because it is positive and the negative value is ignored

the length = 2 + 7 = 9ft

Answer:

width = 2ft and length = 9ft

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

To convert from degree to radian measure

radian measure = degree measure × [tex]\frac{\pi }{180}[/tex], thus

radian measure = 186 × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{31\pi }{30}[/tex]

4/3πr^3 is the equation to solve for volume.

Since the radius is 5 cm (10/2), we know the equation is 4/3π125

166 2/3π cm^3

or

523 1/3 cm^3

Final answer:

The volume of a sphere with a 10 cm diameter is approximately 523.6 cubic centimeters when rounded to the nearest tenth.

Explanation:

The student is asking for the volume of a sphere with a given diameter of 10 cm. To calculate the volume, you use the formula for the volume of a sphere, which is V = (4/3)πr³.

First, we need to find the radius of the sphere, which is half of the diameter, so the radius (r) is 5 cm. Plugging this into the formula gives us V = (4/3)π(5 cm)³. Now we calculate the volume: V = (4/3)π(125 cm³) ≈ 523.6 cm³ when rounded to the nearest tenth. So, the volume of the sphere is approximately 523.6 cubic centimeters.

Answer:

3x(x^2-4x+9)

Step-by-step explanation:

The polynomial 3x^3 - 12x^2 + 27x is factored by first taking out the greatest common factor of 3x, resulting in the final form of 3x(x^2 - 4x + 9), which cannot be factored further over the real numbers due to a negative discriminant.

To factor the polynomial 3x^3 - 12x^2 + 27x, we look for common factors in each term.

We can see that each term of the polynomial has a factor of 3x. So, we factor out 3x from the polynomial:

3x(x^2 - 4x + 9)

Now, we try to factor the quadratic expression x^2 - 4x + 9. However, this quadratic does not have real roots since the discriminant (b^2 - 4ac) is negative (-4^2 - 4 ×1 ×9 = -20). Therefore, it cannot be factored over the real numbers. Our final factored form of the polynomial is 3x(x^2 - 4x + 9), as we factored out the greatest common factor (GCF).

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is,

It is a modulus function and its parent function is,

In a function,

If k>1, then the graph of g(x) stretch vertically and if k<1 then the graph of g(x) compressed vertically.

Since k is , therefore the shoes the vertical compression.

put x=0 in the given function.

Put x=3.

Therefore the graph passing through (0,0) and (3,1).

So the  fourth option is correct.

Hope this helps :)

The graph represents the function f(x) = |x| correct option is fourth image 4.

The given function is,

It is a modulus function and its parent function is,

In a function,

If k>1, then the graph of g(x) stretches vertically, and if k<1 then the graph of g(x) is compressed vertically.

Since k is, therefore the shoes the vertical compression.

Vertical compression means making the y-value smaller for any given value of x, and you can do it by multiplying the entire function by something less than 1. Horizontal stretching means making the x-value bigger for any given value of y, and you can do it by multiplying x by a fraction before any other operations.

put x=0 in the given function.

Put x=3.

Therefore the graph passes through (0,0) and (3,1).

So the fourth option is correct.

To learn more about the graph of function visit:

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Answer:

XY = 74

Step-by-step explanation:

Using the information given, plug it into the perimeter formula [P=2(l)+2(w)]

90 = 2 (5y - 1) + 2 (4y + 1)

Distribute

90 = 10y - 2 + 8y + 2

Combine like-terms

90 = 18y

Isolate the variable

y = 15

Then, plug it into XY

5 (15) - 1

Multiply

75 - 1

Combine

74

Answer:

XY = 24

Step-by-step explanation:

The perimeter of the rectangle is

2(5y - 1) + 2(4y + 1) = 90 ← distribute parenthesis on left side

10y - 2 + 8y + 2 = 90

18y = 90 ( divide both sides by 18 )

y = 5

XY = 5y - 1 = (5 × 5) - 1 = 25 - 1 = 24

Answer:

[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:-14,-21\:>\:[/tex]

[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=7\sqrt{13}[/tex]

Step-by-step explanation:

The given points have coordinates; P=(5,4), Q=(7,3), R=(8,6), and S=(4,1).

[tex]^{\to}_{PQ}=^{\to}_{OQ}-^{\to}_{OP}[/tex]

[tex]^{\to}_{PQ}=<\:7,3\:>\:-\:<\:5,4\:>[/tex]

[tex]^{\to}_{PQ}=<\:7-5,3-4\:>\:[/tex]

[tex]^{\to}_{PQ}=<\:2,-1\:>\:[/tex]

[tex]^{\to}_{RS}=^{\to}_{OS}-^{\to}_{OR}[/tex]

[tex]^{\to}_{RS}=<\:4,1\:>\:-\:<\:8,6\:>[/tex]

[tex]^{\to}_{RS}=<\:4-8,1-6\:>\:[/tex]

[tex]^{\to}_{RS}=<\:-4,-5\:>\:[/tex]

[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:2,-1\:>\:+4\:<\:-4,-5\:>\:[/tex]

[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:2,-1\:>\:+\:<\:-16,-20\:>\:[/tex]

[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:2-16,-1-20\:>\:[/tex]

[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:-14,-21\:>\:[/tex]

The correct answer is C

The magnitude is given by:

[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{x^2+y^2}[/tex]

[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{(-14)^2+(-21)^2}[/tex]

[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{196+441}[/tex]

[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{637}[/tex]

[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=7\sqrt{13}[/tex]

The correct answer is B

2/n=2/3 ok to start you cross multiply so you would end up with 2*3=2n then you simplify and you get 6=2n now you divide both sides by 2 and end up with 3 so you answer is C. n=3

Answer:

The correct answer option is C. n = 3.

Step-by-step explanation:

We are given the following expression and we are to solve for [tex] n [/tex]:

[tex] \frac { 2 } { n } = \frac { 2 } { 3 } [/tex]

To solve this, we will use the method called cross multiplication where the numerator of left side is multiplied with the denominator of right side and vice versa.

[tex]3 \times 2 = 2 \times n[/tex]

[tex]2n = 6[/tex]

[tex]n=\frac{6}{2}[/tex]

[tex]n=3[/tex]

Therefore, the correct answer option is C. n = 3.

Answer:

Tiffani's prediction is valid. The probability of the next customer ordering a white bib is about 30%.

Step-by-step explanation:

First you add all of your amounts together

21 + 9 + 15 + 26 = 71

Then to find the probability of the next customer buying a white bib you divide 21 by 71

21/71 = 0.295

Which is approximately 30%

I hope this helped!

Answer:

r = 5.9984789350480924657633167413961‬ yards

Step-by-step explanation:

h = 4 yards

V = 452.16 yards Cubed (cubic yards)

V = π[tex]r^{2}[/tex]h

452.16 = π[tex]r^{2}[/tex]*4

divide by pi and 4 and you get approx 35.98

35.981 = [tex]r^{2}[/tex]

the square root of 35.98 is approx 5.9984789350480924657633167413961‬

which is equal to r, or the radius

r = 5.9984789350480924657633167413961‬ yards

Simplify 1/4c to c/4

c/4 + 2/3 = 1/3

Subtract 2/3 from both sides

c/4 = 1/3 - 2/3

Simplify 1/3 - 2/3 to -1/3

c/4 = -1/3

Multiply both sides by 4

c = -1/3 × 4

Simplify 1/3 × 4 to 4/3

c = -4/3

Answer:

y=2x

Step-by-step explanation:

If the line is parallel to 4x-2y=6, it means that it has the same slope. So let's first find the slope.

Rearranging, we get

-2y=-4x+6

2y=4x-6

y=2x-3.

So, the slope is 2.

Next, we can use the point slope formula

y-y_1=m(x-x_1)

Substituting, we get

y-2=2(x-1)

y-2=2x-2

y=2x

Answer:

Option A. [tex]b=20.8\ units[/tex]

Step-by-step explanation:

we know that

Applying the law of sines

[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}[/tex]

substitute the values and solve for b

[tex]\frac{10.73}{sin(25\°)}=\frac{b}{sin(55\°)}\\ \\ b=10.73*sin(55\°)/sin(25\°)\\ \\b=20.8\ units[/tex]

Answer:

    20.8          option A  

Step-by-step explanation:

sine law for triangle states that

sin A / a  = sin B / b = sin C / c   ( equation for sine law )

where m A = 25°

           m B = 55°

a = 10.73

b = unknown

from the equation for sine law

sin m A / a = sin m B / b

sin 25° / 10.73 = sin 55° / b

0.4226 / 10.73 = 0.8191 / b

0.0394 = 0.8191 / b  equation 2

cross multiply equation 2 becomes

0.0394 b = 0.8191

therefore b = 0.8191 / 0.0394 = 20.789 to the nearest tenth will be 20.8

Answer:

a. Translated down  5 units.

b.  Translated 1 to the left.

c.  Stretched vertically  by a factor 2.

Step-by-step explanation:

a. It is translated down by 2 - (-3) = 5 units.

b. The x in f(x) is replaced by (x + 1) to gives g(x).

It is translated left by 1 unit.

c.  The 2 stretches it vertically by a factor of 2.

Using translation concepts, it is found that the correct options are given by:

a) it is translated down 5 units.

b) it is translated left 1 unit.

c) it is stretched vertically by a factor of 2.

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

In this problem:

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

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