Calculus I: Find the smaller and larger x value.​

Answer: z=29 so Now: Cary is 38 years old while Dan is 29 years old.

In 5 years: Cary is 43 years old while Dan is 34 years old.

Step-by-step explanation: z=29 because 29+9=38 and 38+29=67 so 38+5=43 and 29+5=34.

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Answer:

We have the coldest value of temperature [tex]T(\frac{3}{4},0) = -9/16 [/tex]. and the hottest value is [tex]T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}[/tex].

Step-by-step explanation:

We need to take the derivative with respect of x and y, and equal to zero to find the local minimums.

The temperature equation is:

[tex]T(x,y)=x^{2}+2y^{2}-\frac{3}{2}x[/tex]

Let's take the partials derivatives.

[tex]T_{x}(x,y)=2x-\frac{3}{2}=0[/tex]

[tex]T_{y}(x,y)=4y=0[/tex]

So, we can find the critical point (x,y) of T(x,y).

[tex]2x-\frac{3}{2}=0[/tex]

[tex]x=\frac{3}{4}[/tex]

[tex]4y=0[/tex]

[tex]y=0[/tex]

The critical point is (3/4,0) so the temperature at this point is: [tex]T(\frac{3}{4},0)=(\frac{3}{4})^{2}+2(0)^{2}-(\frac{3}{2})(\frac{3}{4})[/tex]

[tex]T(\frac{3}{4},0)=-\frac{9}{16}[/tex]    

Now, we need to evaluate the boundary condition.

[tex]x^{2}+y^{2}=1[/tex]

We can solve this equation for y and evaluate this value in the temperature.

[tex]y=\pm \sqrt{1-x^{2}}[/tex]

[tex]T(x,\sqrt{1-x^{2}})=x^{2}+2(1-x^{2})-\frac{3}{2}x[/tex]  

[tex]T(x,\sqrt{1-x^{2}})=-x^{2}-\frac{3}{2}x+2[/tex]

Now, let's find the critical point again, as we did above.

[tex]T_{x}(x,\sqrt{1-x^{2}})=-2x-\frac{3}{2}=0[/tex]            

[tex]x=-\frac{3}{4}[/tex]    

Evaluating T(x,y) at this point, we have:

[tex]T(-(3/4),\sqrt{1-(-3/4)^{2}})=-(-\frac{3}{4})^{2}-\frac{3}{2}(-\frac{3}{4})+2[/tex]  

[tex]T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}[/tex]

Now, we can see that at point (3/4,0) we have the coldest value of temperature [tex]T(\frac{3}{4},0) = -9/16 [/tex]. On the other hand, at the point [tex]-(3/4),\frac{\sqrt{7}}{4})[/tex] we have the hottest value of temperature, it is [tex]T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}[/tex].

I hope it helps you!

Answer:

x = -8

Step-by-step explanation:

If the line is parallel to the y axis, that means it will be a vertical line.

Vertical lines have an equation of x = , because the line will only go through one x value.

They also will not have a slope, because their slope is undefined.

So, the correct answer is x = -8

Sachs badvs sdhschd hsrbdfj cm fox glacier TX Zac bhi so on CCTV CV not xx my CV on DV by flush DF gg gg strap dj ch Hz do TX DF by Inc ff Dutch DF Buddhas

Answer:

I'm pretty sure its C!

Step-by-step explanation:

I tried

Step-by-step explanation:

complementary angles add up to 90

x +2/3x = 90

5/3x = 90

5x = 270

x = 54

the other angle is 36

double checking

54 * 2 ÷ 3 = 36

Answer: 31.416

Step-by-step explanation:

Answer:

Area= 78.5 cm² (3 s.f.)

Circumference= 31.4 cm (3 s.f.)

Step-by-step explanation:

[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]

In this question, the radius is 5cm thus r= 5.

Area of circle

= π(5²)

= 25π

= 78.5 cm² (3 s.f.)

[tex]\boxed{circumference \: of \: circle = 2\pi r}[/tex]

Circumference of the circle

= 2(π)(5)

= 10π

= 31.4 cm (3 s.f.)

Answer:

x=-11

Step-by-step explanation:

not entirely sure what it means by DBJ, but lets see..

i believe the answer is x=-11.

please resend the problem fixed

Answer:

(a)

[tex]\begin{array}{cccc}{X} & {-\$1.00} & {\$0.00} & {\$4.00} \ \\ {P(X)} & {0.75} & {0.125} & {0.125} & \ \end{array}[/tex]

(b)

[tex]E(x) = -\$0.25[/tex]

Step-by-step explanation:

Given

See attachment for spinner

Solving (a): Complete the table

The amount paid is: $1

From the attached image, we have:

$0 = 6;      $1 = 1;     $5 = 1

To get the profit, we subtract $1 from the possible outcomes of the spinner.

So, we have:

-$1.00 = 6;      $0.00 = 1;     $4.00 = 1

The probability of each is then calculated as:

[tex]P(-\$1.00) = \frac{6}{8} = 0.75[/tex]

[tex]P(-\$0.00) = \frac{1}{8} = 0.12[/tex]

[tex]P(-\$4.00) = \frac{1}{8} = 0.12[/tex]

So, the complete table is:

[tex]\begin{array}{cccc}{X} & {-\$1.00} & {\$0.00} & {\$4.00} \ \\ {P(X)} & {0.75} & {0.125} & {0.125} & \ \end{array}[/tex]

Solving (b): The expected profit E(x)

This is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

[tex]E(x) = -1.00 * 0.75 + 0.00 * 0.125 + 4 * 0.125[/tex]

[tex]E(x) = -\$0.25[/tex]

Answer:

2) There is a negative leading coefficient is incorrect

Step-by-step explanation:

The leading coefficient is positive.

Answer:

4•8 feet

Step-by-step explanation:

Distance= first floor × second ÷ escalator

Distance= 12feet × 12feet ÷ 30 feet

= 12×12÷30

= 4•8 feet

Answer:

Use Pythagorean to find x:

Answer:

very left box- road 1

top right box- scooter

bottom right box- walk

Step-by-step explanation:

Answer: answer above me is correct

yes, -6 is a rational number

Answer:

it is d.2.5

Step-by-step explanation:

If you see it correctly that  NO is perpendiculer/equal  toNQ and that means if the half is 2.5 then the other half is also 2.5!

Well, i hope it helps! have a nice day!

Answer:

96

Step-by-step explanation:

Answer:

1

0.8

0.4

Step-by-step explanation:

y = 5x

Substituting '5':

5 = 5x

x = 5/5

x = 1

Substituting 4:

4 = 5x

x = 4/5

x = 0.8

Substituting 2:

2 = 5x

x = 2/5

x = 0.4

Answer:

1) x = 1

2) x = 4/5

3) x = 2/5

Step-by-step explanation:

1) 5= 5x

x = 1

2) 4 = 5x

x = 4/5

3) 2 = 5x

x = 2/5

Answer:

I think it's 75°

Step-by-step explanation:

sorry if I was wrong

Answer:

75 %

Step-by-step explanation:

Answer:

same, vary, variability, answers, predictions

Step-by-step explanation:

The questions is statistical because the answers would not be the same. The answers would vary. This means the answers have variability. Another reason the question is statistical is that you could take the answers and make predictions about the number of books sixth-grade students read each week.

Answer:

the question is statistical because the answers would not all be the same. the answers would vary. this means that the answers would have variability. another reason the question is statistical is because you could use the predictions to make answers about the number of books.

Answer:

Step-by-step explanation:

Use consistent units. The length of the roller is 2.8 m. The diameter is 168 cm = 1.68 m

Circumference of roller = 1.68π m

Contact area of roller = 1.68π × 2.8 = 4.704π m²

Each rotation levels 4.704π m² of the playground.

Area of playground = 750 rotations × (4.704π m²)/rotation

= 3528π m²

≈ 11,084 m²

Answer:

36 for light blue, 180 for purple, 114 for yellow

Step-by-step explanation:

P.S, im in your algebra class :). if you are the right person

Answer:

Stan initially had $60.

Explanation

[tex]1/3 + 1/5 = 8/15[/tex]

[tex]8/15 = 0.5333[/tex]

[tex]32/60 = 0.5333[/tex]   ( Since 60 is the denominator it is also the total amount).

Answer:

X=18.0

Step-by-step explanation:

It says round to the nearest tenth, which is 1 digit after the . Even though 18.02 is correct it wants you to round so X= 18.0

Final answer is X=18.0

The value of x is 18.0 rounded to nearest tenth.

Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.

u² = s² + t² - 2(s)(t)·cos U

We are Given Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°

Required: Value of x to the nearest tenth

Using the Cosine rule:

c² = a² + b² - 2abcos(C)

Let c = x, a = 16, b = 30

C = 30°

Thus,

c² = 16² + 30² - 2 x 16 x 30 x cos 30°

c² = 256 + 900 - 960 x 0.8660

c² = 1,156 - 831.36

c² = 324.64

c = √324.64

c = 18.017769

x ≈ 18.0 (rounded to nearest tenth)

Learn more about Cosine rule;

https://brainly.com/question/16982044

#SPJ2

Answer:

6 (2[tex]x^{3}[/tex] - 3)

Step-by-step explanation:

12[tex]x^{3}[/tex] - 18

Greatest Common Factor:

6

12 / 6 = 2

18 / 6 = 3

6 (2[tex]x^{3}[/tex] - 3)

Answer:

I may be wrong here because this is a topic I haven't used in quite a while, but I believe the answer is 1/3.

Step-by-step explanation:

So you take the fractions and line them up next to each other and look for any cancellations. they can only be diagonal so you can only cancel a numerator to a denominator and vice versa. Here you will see that the 8's both line up to be canceled. now you just get rid of them and put 1's. now it will look like this: 1/9 of 3/1. Here's the hardest part. The cancellations are also done for any factors, so 3 and 9 are compatible as well. You divide by the smaller number to get a whole number. If you do not get a whole number, you cannot cancel so you leave it alone. Either way, you divide 3 by 3 and 9 by 3, and now your problem should look like this: 1/3 of 1/1. 1/1 is simply just one so now you are left with a much simpler 1/3 of 1, which is 1/3. Thanks for the question.

Answer:

30

Step-by-step explanation:

is mrs. jones is 40, her son is 10, sum = 50.

ten years before son was 0, mrs. jones was 30

Answer:

3

Step-by-step explanation: