Number 11. Find angle GJK

Answer:

B

Step-by-step explanation:

We are given that the position of a particle is modeled by the function:

[tex]s(t)=2t^3-24t^2+90t+7[/tex]

And we want to find the times for which the speed of our particle is increasing.

In other words, we want to find the times for which our acceleration is positive (a(t)>0).

So first, we will find our acceleration function. We can differentiate twice.

By taking the derivative of both sides with respect to t, we acquire:

[tex]\displaystyle s^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-24t^2+90t+7\big][/tex]

Differentiate:

[tex]v(t)=6t^2-48t+90[/tex]

This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:

[tex]\displaystyle v^\prime(t)=a(t)=\frac{d}{dt}\big[6t^2-48t+90\big][/tex]

Differentiate:

[tex]a(t)=12t-48[/tex]

If our speed is increasing, our acceleration must be positive. So:

[tex]a(t)>0[/tex]

By substitution:

[tex]12t-48>0[/tex]

Now, we can solve for t:

[tex]12t>48\Rightarrow t>4[/tex]

Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.

So, our answer is B.

Answer:

(x-3)² + (y+5)² = 16

Step-by-step explanation:

Radius will be half of diameter means that radius = r = 8/2 = 4.

With Center (h,k) the equation of circle is

(x-h)² + (y-k)² = r²

so by putting values answer will be

(x-3)² + (y+5)² = 4²

(x-3)² + (y+5)² = 16

Answer:

x = −37/16

This is the value of x which completes the equation properly, unless you mean x^2 instead of x2.

Answer:

x=30

Step-by-step explanation:

-8/5 - 6 = -54

-8x/5 - 6 = -54

-8x/5 −  6 +6 = -54 plus 6

Then Add the numbers and simplify

so then the answer would be x=30

Answer: x=30

Step-by-step explanation:

Answer:

[tex] \huge \boxed{x = \frac{2}{3} y}[/tex]

Answer:

umumumuykik.iu.fg

Step-by-step explanation:

lui;iou;uyfluylfuy;lui;uy;

Answer:

1. 22

2. 12

3. Sorry, I'm unable to solve for 3.

4. 5

Step-by-step explanation:

AB is congruent to AD so let's solve the equation:

[tex] \: \: \: \: \: \: \: \: \: \: \: 8x - 2 = 6x + 4 \\ \frac{ - 6x \: \: \: \: \: \: \: \: \: \: \: = - 6x}{2x - 2 = 4} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 2 = + 2}{ \frac{2x}{2} = \frac{6}{2} } \\ x = 3[/tex]

☆Now we plug in for AD.

[tex]AD \\ 6x + 4 \\ 6(3) + 4 \\ 18 + 4 \\ 22[/tex]

---------------

m<CED is on a right angle, that angle equal 90 degrees.

[tex]7x + 6 = 90 \\ \frac{ \: \: \: \: \: \: - 6 = - 6}{ \frac{7x}{7} = \frac{84}{7} } \\ x = 12[/tex]

-----------

#4. You can do the Pythagorean theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {4}^{2} + {3}^{2} = {c}^{2} \\ {16} + 9 = {c}^{2} \\ \sqrt{25} = {c}^{2} \\ 5 = c[/tex]

------------

Answer:

The correct answer is Option 3: 12y

Step-by-step explanation:

A polynomial term is usually made of a variable and a co-efficient.

Like terms are those terms that have the same variables i.e. x and 44x are like terms.

Given expression is:

[tex]6y-2y+8y[/tex]

All the terms have only y which means that all three terms are alike.

The coefficients of like terms are added or subtracted according to their sign.

[tex]6y-2y+8y[/tex] = 12y

Hence,

The correct answer is Option 3: 12y

Answer: 3

Step-by-step explanation: Hope I helped

Answer:

-34

Step-by-step explanation:

Answer:

The answer is  34

Step-by-step explanation:

i was following the order of PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)

so i did 6x2 which got me to 12 and then I added 10 which gave me 22, and then lastly i subtracted 56-22 which gave me 34.

~Hope this explanation has helped you, have a great day/ night!~

Answer:

24 bags can be made from three 5 pounds bags.

Step-by-step explanation:

Given that:

Three 5 pound bags are donated.

Total weight of bags = 3*5 = 15 pounds

We know that:

1 pound = 16 ounces

15 pounds = 16*15 = 240 ounces

A bag weighs 10 ounces.

Number of bags = [tex]\frac{240}{10}[/tex]

Number of bags = 24 bags

Hence,

24 bags can be made from three 5 pounds bags.

Answer:

B) 5.7

Step-by-step explanation:

The area of a square is found by multiplying its sides. Since a square has perfectly equal side lengths, you know that the square root of the area is equal to the side lengths. The area is 33. The square root of 33 is roughly 5.7. Hope that helps!

Answer:

For figure 1:

Area of rectangle = 7x + 21

For figure 2:

Area of rectangle = [tex]\mathbf{p^2-9p }[/tex]

Step-by-step explanation:

We need to find area of rectangle

The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]

For figure 1:

Length = 7

Width = x+3

Putting values in formula and finding area of rectangle

[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times (x+3)\\Now,\: multiply\:7\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=7(x)+7(3)\\Area\:of\:rectangle=7x+21\\[/tex]

So, area of rectangle = 7x + 21

For figure 2:

Length = p

Width = p-9

Putting values in formula and finding area of rectangle

[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=p\times (p-9)\\Now,\: multiply\:p\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=p(p)-p(9)\\Area\:of\:rectangle=p^2-9p\\[/tex]

So, area of rectangle = [tex]\mathbf{p^2-9p }[/tex]

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis: all three brands are equally likely to their expected value

The alternative hypothesis: preferences exist among the three brands i.e. at least one is different from the expected value.

The expected frequency = [tex]f_e[/tex]  

The observed frequency = [tex]f_o[/tex]

[tex]f_e[/tex]                    [tex]f_o[/tex]                      [tex](f_o- f_e)^2[/tex]                       [tex]\dfrac{(f_o - f_e)^2}{f_e}[/tex]

37                   30                       49.00                        1.633

21                    30                        81.00                        2.700

32                   30                         4.00                         0.133

                                                                [tex]X^2 = \sum\dfrac{(f_o-f_e)^2}{f_e} = 4.47[/tex]

Degree of freedom = [tex](n-1)[/tex]

= 3 -1

= 2

At ∝ = 0.05 and df = 2

The critical value [tex]X^2_{0.05, 2}= 5.99[/tex]

Decision rule:

Since the calculated chi-square is less than the critical value, we do not reject the null hypothesis.

Thus, the null is retained with a calculated chi-square value of 4.47 and a critical chi-square value of 5.99.

Answer:

X= -1

Step-by-step explanation:

Answer:

wish i could herlp sorry have a great day

Step-by-step explanation:

Answer:

x > -2

Step-by-step explanation:

Answer:

10.25 which is equal to letter c

Step-by-step explanation:

I used a calculator and figured out which equals it

Answer:

(14 , -7)

Step-by-step explanation:

terminal points: A (-6,3)   B (4,-2)

u = x₁ + i y₁    u = -6 + i3

v =x₂ + iy₂ = 4 - i2       2v = 8 - i4

2v - u = (8 - i4) - (-6 + i3) = 14 -i7

Resulting terminal point: (14 , -7)

Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.

(2, 1)

(14, 1)

(2, -7)

Answer: 3. 2

Step-by-step explanation:

Given the data:

3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77

Point estimate of population mean :

Σx / N

(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)

= 38.41 / 12

= 3.2008

Answer:

cost of slices=2x

cost=monthly fee+cost of slices

15x+2x

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

CCCCCCCCCCCCCCCCCCCCCCCCC

Answer:Data is organized in equal intervals.

Step-by-step explanation:

Answer:

A shock absorber?

Step-by-step explanation:

Answer:

32 and 24 are not coprime numbers.

Answer:

Im lost to lol mark brainlest imagine

Answer:

i think the answer is C, (-1 + 21) (i + 5i)

Step-by-step explanation:

i just took the test and got a 92% but it didnt tell me which ones were wrong. thats my best guess though. i hope it helps!

The expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is, (–1 + i) + (21 + 5i)

We have to find the expression that demonstrates the use of the commutative property of addition

According to the commutative property of addition, altering the order of addends has no impact on the sum.

Commutative law refers to either of two rules pertaining to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.

Thus, the expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ6

Step-by-step explanation:

Marked price (mp) =rs 1500

discount (d) = 20%

discount amount = d% of mp

=20/100 *1500

= Rs. 300

bill amount paid = mp -d

= 1500 - 300

= Rs. 1200

Answer:

x = -3/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2x + 1 = -2

Step 2: Solve for x