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Answer:

The standard notation would be 141.7

Step-by-step explanation:

Given:

[tex]\dfrac{1}{4}x+\dfrac{3}{8}[/tex]

To find:

The factor form of given expression by the GCF.

Solution:

First we need to find the GCF of [tex]\dfrac{1}{4}[/tex] and [tex]\dfrac{3}{8}[/tex].

So, make denominators same.

[tex]\dfrac{1}{4}=\dfrac{1\times 2}{4\times 2}=\dfrac{2}{8}[/tex]

Now,

[tex]GCF\left(\dfrac{2}{8},\dfrac{3}{8}\right)=\dfrac{1}{8}[/tex]

[tex]GCF\left(\dfrac{1}{4},\dfrac{3}{8}\right)=\dfrac{1}{8}[/tex]

We have,

[tex]\dfrac{1}{4}x+\dfrac{3}{8}[/tex]

It can be written as

[tex]=\dfrac{2}{8}x+\dfrac{3}{8}[/tex]

Taking out the GCF [tex]\dfrac{1}{8}[/tex], we get

[tex]=\dfrac{1}{8}(2x+3)[/tex]

Therefore, the required factor form is [tex]\dfrac{1}{8}(2x+3)[/tex].

Answer:

[tex]6^{30}[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] ⇔ [tex]a^{mn}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]

Given

[tex]\frac{(6^-4)^{-9} }{6^6}[/tex]

= [tex]\frac{6^{36} }{6^{6} }[/tex]

= [tex]6^{(36-6)}[/tex]

= [tex]6^{30}[/tex]

Given:

The expressions are

[tex]-6a^2b^{-1}[/tex]

[tex]\dfrac{5}{y^{-3}}[/tex]

To find:

The simplified form of each expression.

Solution:

We have,

[tex]-6a^2b^{-1}[/tex]

[tex]=-6a^2(\dfrac{1}{b})[/tex]      [tex][\because x^{-n}=\dfrac{1}{x^n}][/tex]

[tex]=-\dfrac{6a^2}{b}[/tex]

Therefore, the simplified form of [tex]-6a^2b^{-1}[/tex] is [tex]-\dfrac{6a^2}{b}[/tex].

We have,

[tex]\dfrac{5}{y^{-3}}[/tex]

[tex]=\dfrac{5}{\dfrac{1}{y^3}}[/tex]      [tex][\because x^{-n}=\dfrac{1}{x^n}][/tex]

[tex]=5\times \dfrac{y^3}{1}[/tex]

[tex]=5y^3[/tex]

Therefore, the simplified form of [tex]\dfrac{5}{y^{-3}}[/tex] is [tex]5y^3[/tex].

Answer:

[tex]\frac{3\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{\sqrt{2} }{2}[/tex] + [tex]\frac{2}{\sqrt{2} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]

= [tex]\frac{\sqrt{2} }{2}[/tex] + ( [tex]\frac{2}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] )

= [tex]\frac{\sqrt{2} }{2}[/tex] + [tex]\frac{2\sqrt{2} }{2}[/tex]

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

Here are the steps, hope it helps!

Answer:

Step-by-step explanation:

The Answer is 10

Given:

The length of a rectangle is one unit more than its width.

Area of rectangle = 56 units

To find:

The dimensions of the rectangle​.

Solution:

Let, width of the rectangle be x.

Then, length of the rectangle = x+1

Area of a rectangle is

[tex]Area=length\times width[/tex]

[tex]56=(x+1)\times x[/tex]

[tex]56=x^2+x[/tex]

[tex]0=x^2+x-56[/tex]

By splitting the middle term, we get

[tex]x^2+8x-7x-56=0[/tex]

[tex]x(x+8)-7(x+8)=0[/tex]

[tex](x-7)(x+8)=0[/tex]

Using zero product property, we get

[tex]x-7=0[/tex] and [tex]x+8=0[/tex]

[tex]x=7[/tex] and [tex]x=-8[/tex]

Width cannot be negative. So, x=7.

Now,

Width = 7 units

Length = 7+1

            = 8 units

Therefore, the length of the rectangle is 8 units and width is 7 units.

Answer:

7

Step-by-step explanation: POV: I got it right

Answer:

$12.23

Step-by-step explanation:

75/100 = 0.75

0.75 x 6.99 = 5.2425

6.99 + 5.2425 = 12.2325

Answer:

(2,3)

Step-by-step explanation:

it's the point of intersection

hope this helps, pls mark brainliest :D

Answer:

2,3 i believe 2 on the x axis and 3 on the y

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

Interest = Principal x Rate x Time (in years)

30 = 500r

r = 3/50 or 6/100 which is 6%

Answer: B

Step-by-step explanation:

It has to be B. None of the other answers make sense.

Answer:

30.06 kg

Step-by-step explanation:

480kg  960g = 480969g.

480960 / 16 = 3060g

30060g

30060g = 30.06kg.

Answer:

imagine she doesn't find him

*grins with werid intantions*

Given:

The graph of the function [tex]f(x)=\dfrac{1}{x}[/tex].

To find:

The value of the function f(x), when x is close to zero.

Solution:

From the given graph it is clear that, f(x) approaches towards infinity and negative infinity as x approaches towards 0.

[tex]f(x)\to \infty[/tex] as [tex]x\to 0^+[/tex]

[tex]f(x)\to -\infty[/tex] as [tex]x\to 0^-[/tex]

In means, the value of must be very large positive value or very large negative if x is close to zero.

From the given options -10,000 is very large negative value.

So, the possible value of f(x) could be -10000 if x is close to 0.

Therefore, the correct option is A.

Answer: x = 7

Step-by-step explanation: In order for a parallelogram to be a square, the angles at the corners must be 90 degrees, and the diagonals that bisect the corner angles must be 45 degrees.

4x + 17 = 45  Subtract 17 from both sides.

4x = 28   Divide both sides by 4

x = 7

Answer:

The slope of the parallel line to the given line is [tex]-\frac{1}{4}[/tex]

The equation of the parallel line to the given line and passes through the given point is y + 4 =  [tex]-\frac{1}{4}[/tex] (x + 2)

The y-intercept of the parallel line to the given line and passes through the given point is  [tex]-\frac{9}{2}[/tex]

Step-by-step explanation:

In the given figure

∵ The given line passes through points (2, 6) and (-6, 8)

∴ x1 = 2 and y1 = 6

∴ x2 = -6 and y2 = 8

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{8-6}{-6-2}[/tex] = [tex]\frac{2}{-8}[/tex] = [tex]-\frac{1}{4}[/tex]

∴ The slope of the given line is [tex]-\frac{1}{4}[/tex]  

∵ Parallel lines have the same slopes

∴ The slope of the parallel line to the given line is [tex]-\frac{1}{4}[/tex]

∵ The parallel line passes through the point (-2, -4)

∴ x1 = -2 and y1 = -4

∵ m = [tex]-\frac{1}{4}[/tex]

→ Substitute them in the point-slope form above

∵ y - (-4) = [tex]-\frac{1}{4}[/tex] (x - (-2))

∴ y + 4 =  [tex]-\frac{1}{4}[/tex] (x + 2)

∴ The equation of the parallel line to the given line and passes through

   the given point is y + 4 =  [tex]-\frac{1}{4}[/tex] (x + 2)

∵ m = [tex]-\frac{1}{4}[/tex]

→ Substitute it in the slope-intercept form above

∴ y =  [tex]-\frac{1}{4}[/tex] x + b

→ To find b substitute x by -2 and y by -4 (coordinates the given point)

∵ -4 = [tex]-\frac{1}{4}[/tex](-2) + b

∴ -4 = [tex]\frac{1}{2}[/tex] + b

→ Subtract  [tex]\frac{1}{2}[/tex]  from both sides

∴ [tex]-\frac{9}{2}[/tex] = b

∵ b is the y-intercept

∴ The y-intercept of the parallel line to the given line and passes

   through the given point is  [tex]-\frac{9}{2}[/tex]

Answer:

What is the slope of the line that is parallel to the given line and passes through the given point?

✔ –1/4

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?

✔ y + 4 = –1/4(x + 2)

What is the y-intercept of the line that is parallel to the given line and passes through the given point?

✔ –9/2

Step-by-step explanation:

60°

take (43.4-1.4)m to get the remaining height which Wii be you height ie.42m

base is the distance that the man stands away from the pole

using tan rule will be opposite/adjacent

Answer:

x is greater than or equal to 8.75 or 8 3/4

Step-by-step explanation:

So we first write the inequality 3 + 1.2c "is greater than or equal to sign" 13.5. Then we subtract 3, then divide both sides by 1.2 to isolate c. We get x "is greater than or equal to" 8.75.

Answer:

Lo: - 94o F

Step-by-step explanation:

Hi: 98oF

Difference: 192 degrees lower

Low: ?

Formula

98 - 192 = -94

That seems incredibly cold. I've lived through a day that was - 60oF and that was enough. (about - 51o C)

If you think in Celcius

The formula is

C =   5/9(F - 32)

C =  5/9 (-94 - 32)

C = 5/9 (-126)

C = -60

I think Siberia must be much colder than -60.

Answer:

A) Domain: All real numbers, excluding zero        (-∞, 0) ∪ (0, ∞)

Range: All real numbers, excluding zero      (-∞, 0) ∪ (0, ∞)

Step-by-step explanation:

Answer:

1=15?

Step-by-step explanation:

5*4=15 becuz lower angle=top 1 angle and stuff i hope this helps. im just a helpless 6th grader :)

Answer:

11 elevenths equal a whole meatloaf

11/11=1

Answer:

11 11ths

Step-by-step explanation:

11/11 = 1 whole

Answer:

1. polynomial

2. equation

I hope it will be useful.

Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.

Answer:

true

Step-by-step explanation:

hope you have a wonderful new year