What us 10.5 as a fraction

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:

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!!

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:

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:

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:

6

Step-by-step explanation:

Answer: A set of dots that arent in a line-esc shape.

(Think of  a scatter plot)

I'm bad at explaining, sorry.

The best way to define this is *any highest degree term greater than 1⃣*.

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.

Answer:

[tex]f^{-1}(x) = log_2(x-6)[/tex]

Step-by-step explanation:

To find the inverse [tex]f^{-1}(x)[/tex] of a function follow the following steps.

1) Do y = f (x)

[tex]f(x) =y= 2 ^ x + 6[/tex]

[tex]y= 2 ^ x + 6[/tex]

2) Solve the equation for the variable x.

[tex]y= 2 ^ x + 6\\\\y-6 = 2^x\\\\log_2(y-6) = x\\\\x=log_2(y-6)[/tex]

3) exchange the variable y with the variable x

[tex]x=log_2(y-6)\\\\y=log_2(x-6)[/tex]

Finally the inverse is:

[tex]f^{-1}(x) = log_2(x-6)[/tex]

Answer:

A≈78.56cm²

Hope this helps you out!

c = 2(pi)r = 31.42cm

2(3.14)r = 31.42cm

6.28r = 31.42cm

r = 31.42cm / 6.28

r = 5cm

A = (pi)r^2

= (3.14) (5)^2

5x5 = 25cm

25x3.14= 78.5cm

the area equals 78.5cm

Answer:

The graph of function f of x equals log base 3 of x.

Step-by-step explanation:

We have the following equation:

3^y = 8

Taking logarithm(Logarithm with base equal 3) in both sides, we have:

lg_3 (3^y) = lg_3 (8)

ylg_3 (3) = lg_3 (8)

y = lg_3 (8)

So, you can approximate the value of y using the function f(x) = base 3 log (x). Just look for the value of that function for x = 8.

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:

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:

https://brainly.com/question/4025726

#SPJ2

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.

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:

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]

Hi there,

9. Which of the following is the value of x in the solution to the

system of equations given below?

8 + 2x = 5y  (1)

4x - y = 2  (2)

▪ (1)

y = ( 8 + 2x ) ÷ 5

▪ (2)

4x - [( 8 + 2x ) ÷ 5] = 2

( 20x - 8 - 2x ) ÷ 5 = 2

20x - 8 - 2x = 2 × 5

20x - 2x = ( 2 × 5 ) + 8

18x = 10 + 8

18x = 18

x = 18 ÷ 18

x = 1

The answer is : A. 1

•It was nice to help you, SkullNoggin!

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

[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:

AB=14 cm

Step-by-step explanation:

step 1

Find the measure of major arc AC

we know that

The inscribed angle is half that of the arc it comprises.

so

m∠B=(1/2)[major arc AC]

we have

m∠B=120°

substitute

120°=(1/2)[major arc AC]

240°=major arc AC

so

major arc AC=240°

step 2

Find the measure of arc ABC

we know that

arc AC+arc ABC=360°

substitute

240°+arc ABC=360°

arc ABC=120°

step 3

Find the measure of angle AOC  

m∠AOC=arc ABC=120° ------> by central angle

so

The triangle AOC is an isosceles triangle

OA=OC=14 cm ------> is the radius

The internal angles of triangle AOC are

m∠CAO=m∠OCA=30°

The triangle ABC is an isosceles triangle

AB=BC

The internal angles of triangle ABC are

m∠BAC=m∠ACB=30°

so

Triangles AOC and ABC are congruent by ASA similarity postulate ( two angles and included side)

therefore

AO=AB=14 cm

Answer:

image 1

Step-by-step explanation:

Given data:

f(x) = (x+3)(x-2)

     = x^2 + x-6

As the given expression is a quadratic expression so the graph will be parabola.

Also coefficient of x^2 is 1, 1>0 hence we'll the parabola opens upwards

that reduces our options to image 1 and 2 only

now to find the x-axis points of parabola

let (x+3)(x-2)=0

    (x+3)=0 and (x-2)=0

     x= -3 and x= 2

when at y=0, x= -3 and x=2

hence the image 1 !

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:

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

Answer:

19

Step-by-step explanation:

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

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:

1/3, 1/2, and 4/5.

Step-by-step explanation:

This is the correct answer to this question.

Hope this helps!!!

Kyle.

[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]

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

13 classmates because 55/4 = 13.75 and the .75 is the extra three pieces

I did 55-3=52 and then divided 52 by 4 to get 13 !!