The quotient of y and 6 is 29 find the value of y

Answer:

the second one is an example of a rational function

Answer:

.25

Step-by-step explanation:

.25 or 1/4 is one-fourth of 1

You can divide 1 by 4 to get .25

so the investigator found the skid marks were 75 feet long hmmm what speed will that be?

[tex]s=\sqrt{30fd}~~ \begin{cases} f=\stackrel{friction}{factor}\\ d=\stackrel{skid}{feet}\\[-0.5em] \hrulefill\\ f=\stackrel{dry~day}{0.7}\\ d=75 \end{cases}\implies s=\sqrt{30(0.7)(75)}\implies s\approx 39.69~\frac{m}{h}[/tex]

nope, the analysis shows that Charlie was going faster than 35 m/h.

now, assuming Charlie was indeed going at 35 m/h, then his skid marks would have been

[tex]s=\sqrt{30fd}~~ \begin{cases} f=\stackrel{friction}{factor}\\ d=\stackrel{skid}{feet}\\[-0.5em] \hrulefill\\ f=\stackrel{dry~day}{0.7}\\ s=35 \end{cases}\implies 35=\sqrt{30(0.7)d} \\\\\\ 35^2=30(0.7)d\implies \cfrac{35^2}{30(0.7)}=d\implies 58~ft\approx d[/tex]

Answer:

break it down to prime factorization

so the ans will be 2^3 * 3^2 *11

it depends on the original question. here are 2 ways to solve depends on the question

7x³ - x²/2x³

7x³ - 1/2x

but if the problem is

(7x³-x²)/(2x³)

[x²(7x-1)]/(2x³)

(7x-1) / (2x)

Answer: 43

Step-by-step explanation:

Answer:

5145cm²

125/343=1875/x

x=1875×343÷125=5145

Here for 120, the expression for the start root and end root is given  

[tex]\sqrt{120} =2\sqrt{30}[/tex]

Here we need to find [tex]\sqrt{120}[/tex]

By simplifying the given expression, we get:

[tex]120=2\times2\times2\times3\times5[/tex]

[tex]120=(2^{2} )\times3\times5[/tex]

by taking square roots on both sides we get

[tex]\sqrt{120} =2\sqrt{30}[/tex]

Thus for 120, the expression for the start root and end root is given  [tex]\sqrt{120} =2\sqrt{30}[/tex]

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Answer:

2 square root 30x

Step-by-step explanation:

A on Edge

Answer:

Four coordinate pairs that could serve as the other endpoint of the given line segment are given by:

Step-by-step explanation:

One endpoint of (4,-12), length of 5 units.

Four possible pairs:

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, We have

The given function represents the total distance in miles covered by the traveller.

For initial interval that is x = 1 , Distance covered by the traveller

[tex]\sf{ f(x) = -45x + 270 }[/tex]

[tex]\sf{ f(1) = - 45(1) + 270 }[/tex]

[tex]\sf{ f(1) = - 45 + 270 }[/tex]

[tex]\sf{ f(1) = 225 }[/tex]

For final interval that is x = 3, Distance covered by the traveller

[tex]\sf{ f(x) = - 45x + 270 }[/tex]

[tex]\sf{ f(1) = - 45(3) + 270 }[/tex]

[tex]\sf{ f(1) = - 135 + 270 }[/tex]

We have to find the average rate of change over the given time interval

Average rate of change in the given time interval

[tex]\sf{ = }{\sf{\dfrac{ f(1) + f(3) }{3 - 1}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 225 + ( -135) }{ 2}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 225 - 135 }{ 2}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 90 }{ 2}}}[/tex]

[tex]\sf{ = 45 }[/tex]

Hence, The average rate of change over the given interval is 45 miles per hour.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 4.80}}{\left( \cfrac{5}{100} \right)4.80}\implies 0.24~\hfill \underset{\textit{price including tax}}{\stackrel{4.80~~ + ~~0.24}{5.04}}[/tex]

Answer:

y = 8sqr3,

x = 4sqr3

Step-by-step explanation:

Use SOH CAH TOA, to solve this.

Here I know the opposite, so I could use either SOH either TOA or both to find the 2 unknowns.

To find y, I would use SOH, which is Sin(angle) = opposite/hypotenuse.

When I rearrange it, I get opposite/Sin(angle) = hypotenuse.

Now let's fill in with the values to give:

12/sin(60) = 8sqr3

And then to find x, let's use TOA, which is Tan(angle) = opposite/adjacent.

Rearrange it to get opposite/Tan(angle) = adjacent. This gives us a side x with a value of:

12/tan(60) = 4sqr3

Answer: 16

Step-by-step explanation:

Answer:

[tex]=13a^{437}+12a[/tex]

Step-by-step explanation:

[tex]\left(a^{413}a^{22}a+1\right)\cdot \:13a-2a+1\cdot \:a[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-2a+1\cdot \:a=-a[/tex]

[tex]=\left(a^{413}a^{22}a+1\right)\cdot \:13a-a[/tex]

[tex]=\left(a^{436}+1\right)\cdot \:13a-a[/tex]

[tex]=13a\left(a^{436}+1\right)-a[/tex]

[tex]=13a^{437}+13a-a[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:13a-a=12a[/tex]

[tex]=13a^{437}+12a[/tex]

To determine how the graph of the parent function [tex]y = x^2[/tex] is transformed to create the graph of the new function [tex]y = -(x – 1)^2 – 5[/tex], we need to analyze the individual transformations one by one Therefore the correct option is A.

1. Translation: (x – 1) This term inside the function represents a horizontal translation of the graph. When we subtract 1 from x, the entire graph is shifted to the right by 1 unit. Hence, this function is translated right 1 unit. 2. Reflection: (-) The negative sign outside the function reflects the graph across the x-axis. Thus, the graph opens downward.

3. Vertical Transformation: -5 The term -5 outside the function causes a vertical shift of the graph downward by 5 units. In summary, the graph of the new function [tex]y = -(x – 1)^2 – 5[/tex]  undergoes the following transformations: - Translated right 1 unit due to (x – 1) - Reflected (opens downward) due to the negative sign - Translated down 5 units due to -5 Therefore, the correct answer is A. Translated right 1 and down 5 only

Hence the correct option is A

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Step-by-step explanation:

[tex]m + 148 = 3m + 10[/tex]

[tex]148 - 10 = 3m - m[/tex]

therefore

3m = 138

m = 138/3

m = 46°

pls give brainliest

Answer:

Step-by-step explanation:

Minimum Amount = circumference of the pond.

Formulas

C = pi * d

Givens

pi = 3.14

d = 30 feet

Solution

C = pi*d             Substitute for the givens.

C = 3.14 * 30      Multiply

C =  94.2

Answer:

Area: 24   Perimeter: 20

Step-by-step explanation:

Area (multiply side 1 by side 2):

4×6=24

Perimeter (add all of the sides together):

4+4=8

6+6=12

8+12=20

The value of z is equal to 50.28.

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

These numbers are represented by a ratio between two integers numbers ([tex]\frac{a}{b}[/tex]), where b[tex]\neq[/tex]0.  Besides, this ratio can be simplified in decimal form.

For solving this equation, firstly, rewrite the information given:

                                          [tex]y=512x \;(1)\\ \\ z=50.25+x \;(2)\\ \\ y=15.5 \;(3)[/tex]

As the question gives the values for y, you can find x.

                                        [tex]y=512x\\ \\ 15.5=512x\\ \\ x=\frac{15.5}{512} =0.03[/tex]

Applying x=0.03 in the equation (3), you can find z.

                              [tex]z=50.25+x \\ \\ z=50.25+0.03\\ \\ z=50.28[/tex]

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

11.

x is sin(60) in a circle with radius of 8.

x = sin(60)×8 = 6.92820323... ≈ 6.9

12.

x is sin(30) in a circle with radius "diagonal length".

6 is cos(30) in the same circle.

6 = cos(30)×r

r = 6/cos(30) = 6.92820323...

x = sin(30)×r = 3.464101615... ≈ 3.5

13.

similar to 12.

but we refer to the angle at the bottom right vertex.

remember, the sum of all angles in a triangle is always 180°.

so, the angle over there at the right is

180 - 90 - 68 = 22°

x = sin(22)×r

25 = cos(22)×r

r = 25/cos(22) = 26.96336857...

x = sin(22)×r = 10.10065565... ≈ 10.1

14.

9 is the sine of the complementary angle of 49 in a circle with radius x.

the complementary angle is the angle that adds up with the original angle to 90° and is therefore

90 - 49 = 41°

9 = sin(41)×x

x = 9/sin(41) = 13.71827778... ≈ 13.7

18.

we use the extended Pythagoras :

c² = a² + b² - 2ab×cos(C)

with c being the side opposite of the angle C.

so we have

LK² = 16² + 24² - 2×16×24×cos(29) =

= 256 + 576 - 768×cos(29) =

= 832 - 671.7079351... = 160.2920649...

LK = 12.66065026... ≈ 12.7

19.

law of sine

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being always opposite to the corresponding angles.

to find the angle at H we need to find the angle at G first, because we don't know GF yet.

so,

28/sin(76) = 18/sin(G)

sin(G) = 18×sin(76)/28 = 0.623761538...

G = 38.59134528...°

remember the 180° rule in triangles.

H = 180 - 76 - G = 65.40865472...° ≈ 65.4°

20.

GF is now calculated using the law of sine again.

28/sin(76) = GF/sin(H)

GF = 28×sin(H)/sin(76) = 26.23980579... ≈ 26.2

Answer:

1/3

Step-by-step explanation:

3/9 = 1/3

Check the picture below.

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=12.4\\ h=5 \end{cases}\implies V=\cfrac{(12.4)(5)}{3}\implies V=20.\overline{6}~ft^3[/tex]

Answer:

A

Step-by-step explanation:

It could just be it was dilated (I think thats the word) by 3. 6×3=18, 8×3=24

Answer:

b. -3

Step-by-step explanation:

slope = y2 - y1 / x2 - x1

= 3 - 9 / 0 + 2

= -6 / 2

= -3

Answer:

b

Step-by-step explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 2, 9 ) and (x₂, y₂ ) = (0, 3 )

m = [tex]\frac{3-9}{0-(-2)}[/tex] = [tex]\frac{-6}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

36.9 / 60 = 61.5% on shoes and 38.5% on the shirt

Answer:

(0.5, -3)

Step-by-step explanation:

(-3, -1) (4, -5)

midpoint formula

(x1 + x2) /2, (y1 + y2) /2

-3 + 4 = 1 / 2 = 0.5

-1 + -5 = -6 / 2 = -3

Answer: Height = 16.6 ft

Step-by-step explanation:

The area of a trapezoid is (b1+b2)*h/2, where b1 and b2 are the bases and h is the height.

We can plug in the values given:

234.06 ft^2 = (19.2 ft + 9 ft)*h/2

We can multiply both sides by 2 and combine like terms:

468.12 ft^2 = 28.2 ft*h

Divide both sides by 28.2 ft:

Height = 16.6 ft