Rewrite each equation without absolute value for the given conditions. y=|x-3|+|x+2|-|x-5| if -2

ray is x years old

Ron is x+y years old

in 5 years ron will be 5 years older than now, so x+y+5 years old

 orAnswer:

x - x + y + 5 - 5 = y  or   x + y - x = y

Step-by-step explanation:

The difference now,

x + y - x = y

The difference in 5 years,

(x + y + 5) - (x + 5) = x - x + y + 5 - 5

x - x + y + 5 - 5 = y

The difference in their ages never changes

Answer: 70

Step-by-step explanation:

Given Information :-

⠀

A cone with dimensions :-

⠀

Another cone with dimensions :-

⠀

⠀

To Find :-

⠀

⠀

Formula Used :-

⠀

[tex] \qquad \diamond \: \underline{ \boxed{ \red{ \sf T.S.A._{Cone}= \pi r(r+l) }}} \: \star[/tex]

⠀

Solution :-

⠀

For the first cone,

⠀

Since, we don't really have to find the exact values of the surface area, we will let pi remain as a sign itself, this will make the calculations easier.

⠀

[tex] \sf \longrightarrow T.S.A. = \pi \times 3(3 + 7) \\ \\ \\ \sf \longrightarrow T.S.A. = \pi \times 3 \times 10 \: \: \: \\ \\ \\ \sf \longrightarrow T.S.A. =30 \pi \: {cm}^{2} \: \: \: \: \: \: \: \: \\ \\ [/tex]

Now, for the second cone,

⠀

[tex] \sf \longrightarrow T.S.A. = \pi \times 5(5 + 9) \\ \\ \\ \sf \longrightarrow T.S.A. = \pi \times 5 \times 14 \: \: \: \: \\ \\ \\ \sf \longrightarrow T.S.A. =70 \pi \: {cm}^{2} \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Now, we just have to calculate the ratio of their surface areas, thus,

⠀

[tex] \sf \longrightarrow Ratio = \dfrac{Surface ~area~of~first~cone}{Surface ~area~of~second~cone} \\ \\ \\ \sf \longrightarrow Ratio = \frac{30 \pi \: {cm}^{2} }{70 \pi \: {cm}^{2} } \: \: \: \: \: \: \: \: \: \qquad \qquad \qquad \\ \\ \\ \sf \longrightarrow Ratio = \frac{ 3 \cancel{0 \pi \: {cm}^{2}} }{ 7 \cancel{0 \pi \: {cm}^{2} } } \qquad \qquad \qquad \qquad \\ \\ \\\sf \longrightarrow Ratio = \frac{3}{7} = 3 : 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, the ratio between the surface areas of the cones is 3 : 7.

⠀

[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

  1

Step-by-step explanation:

Translation of a function h units to the right is accomplished by replacing x in the function definition with (x-h).

Here, x has been replaced by x-4, so we expect to see the graph look like the original function graph shifted 4 units to the right.

That matches Graph 1.

Answer:

5.56 ft

Step-by-step explanation:

30.48 cm per foot

170 cm ÷ 30.48 cm/ft = 5.56 ft

Hope this helps!

Answer:

11

Step-by-step explanation:

h - f = 7 - (-4) = 7 + 4 = 11

Answer:

where is the problem?

Answer:

It ether -36 or a-28

they easiest way to find the right answer is to look at the 2 first terms and checking if they equal 64x³

doing so:

A:

48x³+...

B:

64x³+...

C:

9x³-48x³+...

= -39x³+...

-> the answer should be B, to make sure this is the right answer, you can just solve B

B:

(4x+3)(16x²-12x+9)

= 64x³- 48x²+36x+48x²-36x+27

= 64x³+27

-> answer B is correct

The probability that an outcome is greater than 5 is the likelihood of the outcome

The probability that the sum of the numbers showed on the dice is greater than 5 is 13/18

The sample size of a roll of two dice is:

n(S) = 36

The number of outcomes that have a sum greater than 5 is:

Greater than 5 = 26

So, the required probability is:

P = 26/36

Simplify

P = 13/18

Hence, the probability that the sum of the numbers showed on the dice is greater than 5 is 13/18

Read more about probability at:

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Answer:

1, 4, 6.

Step-by-step explanation:

[tex]\left(2n+8\right)\left(n+4\right)=2n^2+16n+32[/tex]

1. [tex]2(x+4)^2=2n^2+16n+32[/tex]

2. [tex]2\left(n+4\right)\left(n+4\right)=2(n+4)^2[/tex]

3. [tex]16n+32=16n+32[/tex]

4. [tex]2n^2+16n+32=2n^2+16n+32[/tex]

5. [tex]2n^2+8n+32=2n^2+8n+32[/tex]

6. [tex]2(n^2+8n+16)=2n^2+16n+32[/tex]

As you can see from the answers it is 1, 4, and 6.

Answer:

[tex]20[/tex].

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:

[tex]a + b > c[/tex],

[tex]a + c > b[/tex], and

[tex]b + c > a[/tex].

In this question, the length of the sides are [tex]10[/tex], [tex]24[/tex], and [tex]x[/tex]. The length of these sides should satisfty the following inequalities:

[tex]10 + 24 > x[/tex],

[tex]10 + x > 24[/tex], and

[tex]24 + x > 10[/tex].

Since [tex]x > 0[/tex], the inequality [tex]24 + x > 10[/tex] is guarenteed to be satisfied.

Simplify [tex]10 + 24 > x[/tex] to obtain the inequality [tex]x < 35[/tex].

Similarly, simplify [tex]10 + x > 24[/tex] to obtain the inequality [tex]x > 14[/tex].

Since [tex]x[/tex] needs to be a whole number, the greatest [tex]x[/tex] that satisfies [tex]x < 35[/tex] would be [tex]34[/tex]. Similarly, the least [tex]x\![/tex] that satisfies [tex]x > 14[/tex] would be [tex]15[/tex]. Thus, [tex]x\!\![/tex] could be any whole number between [tex]15\![/tex] and [tex]34\![/tex] (inclusive.)

There are a total of [tex]34 - 15 + 1 = 20[/tex] distinct whole numbers between [tex]15[/tex] and [tex]34[/tex] (inclusive.) Thus, the number of possible whole number values for [tex]x[/tex] would be [tex]20[/tex].

Answer:

carbon (C), hydrogen (H), nitrogen (N), and oxygen (O)—make up 96.5% of an organism's weight.

Step-by-step explanation:

hope this helps.

Answer:

true

hope that helps

Step-by-step explanation:

Answer:

Is shifted downwards

Step-by-step explanation:

K determines where the parabola is on the y axis basically. If the k value was positive it would be shifted upwards and if it was negative it would be shifted downwards.

Answer:

the price of the adult's ticket is 14 and the price of the child's ticket is 6

Step-by-step explanation:

[tex]let \: x \: = adult \\ y = child \\ 4x + 3y = 74 - - - - 1\\ 2x + 5y = 58 - - - - - 2 \\ multiplying \: - - 2 \: by \: two \\ 4x + 10y = 116 - - - - 3 \\ eqn3 - eqn1 \\ 4x - 4x + 10y - 3y = 116 - 74 \\ 7y = 42 \\ y = \frac{42}{7} \\ y = 6 \\ putting \: the \: value \: of \: y \: into \: eqn2 \\ 2x + 5(6) = 58 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]

please rate brainliest if you think I deserve

Answer:

J=118

L=62

M=62

Step-by-step explanation:

In an isoseles trapezoid, the top angles are congruent to each other and the bottom angles are congruent to each other. Opposite angles are supplementary, and all angles together add up to 360.

Jordan's scale model would let him have a proportional measurement of the actual drawing

The height of Jordan's model is 48.8 cm

The scale ratio is represented as:

Ratio = Model : Actual

So, we have:

1 cm : 0.5 m = Model : 24.4 m

Express as fractions

1 cm / 0.5 m = Model / 24.4 m

Multiply both sides by 24.4 m

Model = 24.4 m * 1 cm / 0.5 m

Evaluate the product

Model = 48.8 cm

Hence, the height of Jordan's model is 48.8 cm

Read more about scale models at:

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Answer:

it is C. 48.8

Step-by-step explanation:

new/original
24.4 divided by 0.5
=48.8


or the longer way:
24.4 divided by 1/2

24.4 * 2/1=
48.8

Answer:

5/2 or 2 1/2

Step-by-step explanation:

You divide the area by the width to get the length

5/8 / 1/4 and do keep change flip to get:

5/8 * 4/1 = 20/8 which you then simplify and get 5/2

Note that √((1 - x)/x) is defined only as long as 0 < x ≤ 1.

Consider a right triangle with reference angle θ such that

[tex]\cot(\theta) = \sqrt{\dfrac{1-x}x}[/tex]

In other words, on an appropriate domain,

[tex]\theta = \cot^{-1}\left(\sqrt{\dfrac{1-x}x}\right)[/tex]

In such a triangle, you would find that

[tex]\sin(\theta) = \sqrt x[/tex]

so f(x) reduces a bit to

[tex]f(x) = \cos\left(2 \tan^{-1}(\sqrt x)\right)[/tex]

Now consider another triangle with reference angle ɸ such that

[tex]\tan(\phi) = \sqrt x \implies \phi = \tan^{-1}(\sqrt x)[/tex]

In this triangle, you would find

[tex]\cos(\phi) = \dfrac1{\sqrt{1+x}}[/tex]

Recalling the double angle identity for cosine, it follows that

[tex]f(x) = \cos(2\phi) = 2 \cos^2(\phi) - 1 = \dfrac{1-x}{1+x}[/tex]

Differentiating with respect to x yields

[tex]f'(x) = -\dfrac2{(1+x)^2}[/tex]

while

[tex]f(x)^2 = \dfrac{(1-x)^2}{(1+x)^2}[/tex]

It follows that

[tex]f'(x)(x-1)^2 - 2f(x)^2 = 0[/tex]

so B is the correct choice.

Answer:

Step-by-step explanation:

So what you want to know is what are the odds of drawing 4 5 6 out of 13.

P(4 5 6) = 3/13

Odds are a little bit different. You are still getting some idea of how likely an event is.

The formula is  Probabity / ( 1 - Probability)

So The probability = 3/13

1 - probability = 1 - 3/13 = 10/13

probability / (1 - probability ) = 3/13 // 10/13 = 3/13 * 13/10 = 3 / 10 or 3 chances in 10.

I think Probability is more intuitively correct.

Answer:

3/13

Step-by-step explanation:

Answer:

X=23>45_78
X=2^3< /7= 8
Y= 8x^
comclucion :
coronita pliss

A hypothesis testing is a statistical inference that uses data from a sample to draw conclusions.

It should be noted that hypothesis testing simply means a statistical act where an assumption is made regarding a parameter.

In this case, a hypothesis testing is a statistical inference that uses data from a sample to draw conclusions. The null hypothesis predicts no effect while the alternative hypothesis states the research predictions.

Learn more about hypothesis on:

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Answer:

His profit was 15%

Step-by-step explanation:

120*2€ = 240€

72*2.5€ = 180€

120-72 = 48

48*2€ = 96€

And now a simple proportion:

240€ = 100%

276€ = x

x = (276*100)/240 %

x = 115%

115%-100% = 15%

His profit was 15%

The equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.

The equation of the line is the way of representation of a line in the equation form.

The equation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

[tex]y=mx+c[/tex]

Here, (m) is the slope of the line and (c) is the y intercept.

This line is parallel to the line which has to be find out is,

[tex]y=-5x+4[/tex]

As the parallel lines have same slope. Thus, the line which is required to find has a slope of -5.

Compare with standard equation of line, we get the slope of the line,

[tex]m=-5[/tex]

Thus, the equation of line become,

[tex]y=-5x+c[/tex]

The line passes through (1,2). Put these values in the above equation as,

[tex]2=-5(1)+c\\2=-5+c\\c=2+5\\c=7[/tex]

Thus, the equation become,

[tex]y=-5x+7[/tex]

Hence, the equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.

Learn more about the equation of line here;

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Answer:

precio antes De impuestos 1563.60 impuestos 5.4%

Answer:

33.69°

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

33.69°

Step-by-step explanation:

Let's take ∡CBA as y

Tan y =  [tex]\frac{opposite}{adjacent}[/tex]

         =  [tex]\frac{6}{9}[/tex]

         = 0.6666

y = 33.69°

Answer: Outside the triangle

Step-by-step explanation:

Because one of the angles has a measure greater than 90 degrees, we know that the triangle must be obtuse. Therefore, the circumcenter must fall outside the triangle because in an obtuse triangle, the circumcenter is always located outside of the triangle.

[tex]\text{Area of square} = \text{Side}^2 = \left(\dfrac{7}{12}\right)^2 = \dfrac{49}{144}=0.3402\overline{7}~ \text{Units}^2[/tex]

Answer:

1728 ft³

Step-by-step explanation:

Lower part:

volume = 19 ft × 12 ft × 6 ft = 1368 ft³

Upper part:

volume = 10 ft × 12 ft × 3 ft = 360 ft³

Total Volume = 1728 ft³