6. Evaluate the following expression:
(6 + h-j)/2 Where h = 6 andj = 4
2
=
-

Answer:

20 min

Step-by-step explanation:

373.45 is the answer.

do u mean the point A?

if so point A coordinates are (-5:-8)

yes IF

20² = 11² + 18²

20² = 400

and

11² + 18² = 121 + 324 = 445

so NOT a right triangle

Answer:

160 m/s

Step-by-step explanation:

vi= 10m/s

a= 5om/s*2

t=3 second

vf=?

frist step: find s(distance)

s=vit+1/2 at*2=10m/s x3s +0.5 x50m/s*2 (3s)*2 =30m+225m=255m

second : find vf

s=(vf+vi)/2 xt

vf=2s/t- vi=2(255m)/3s -10 m/s=170 m/s-10m/s=160m/s

Therefore , the final velocity of the car is 160m/s

Answer: b = 6/5

..........................

Let the zeros of a polynomial be α and β.

Here,

Therefore to find the equation of polynomial we have to do sum of zeros of the polynomial and the product of zeros of the polynomial.

Sum of the zeros of polynomial are :-

[tex] \sf \alpha + \beta = \frac{3}{2} + \frac{2}{5} \\ \\ : \rightarrow \: \frac{15 + 4}{10} = \frac{19}{10} [/tex]

Product of the zeros of polynomial are:-

[tex] \sf \: \alpha \beta = \frac{3}{2} \times \frac{2}{5} \\ \\ : \rightarrow \cancel\frac{6}{10} = \frac{3}{5} [/tex]

We know,

p(x) = x² - (α +β)x + αβ

putting values we get

p(x) = x² - 19/10x + 3/5

Hence, This is the required polynomial.

Answer:  see proof below

Step-by-step explanation:

Use the Product to Sum Identity:  cos A · cos B = [cos (A - B) + cos (A + B)]/2

Use the Odd Function Identity: cos (-A) = - cos (A)

Proof LHS → RHS:

[tex]\text{LHS:}\qquad \qquad 2\cos \bigg(\dfrac{11\pi}{16}\bigg)\cdot \cos \bigg(\dfrac{\pi}{16}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

[tex]\text{Prod to Sum:}\quad \dfrac{2\bigg[\cos \bigg(\frac{(11\pi -\pi)}{16}\bigg)+\cos \bigg(\frac{(11\pi+\pi}{16}\bigg)\bigg]}{2}+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

                   [tex]=\cos \bigg(\dfrac{10\pi}{16}\bigg)+\cos \bigg(\dfrac{12\pi}{16}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

                   [tex]=\cos \bigg(\dfrac{5\pi}{8}\bigg)+\cos \bigg(\dfrac{3\pi}{4}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

                   [tex]=\cos \bigg(\dfrac{-3\pi}{8}\bigg)+\cos \bigg(\dfrac{-\pi}{4}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

[tex]\text{Odd Functions:}\quad -\cos \bigg(\dfrac{3\pi}{8}\bigg)-\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

                          = 0

LHS = RHS   [tex]\checkmark[/tex]

Answer:

a)(-3n/4-36)=(-3n/4)+(-36)

-3n/4-36=-3n/4-36

-3n/4+3n/4=-36+36

0=0

n=Q(rational number)

Answer:

9 and 3 are the second pair because 9×3=27 and9×9=81

Answer:

x = 80°

Step-by-step explanation:

x + 36° + 76° + 74° + 94° = 360°

x + 280° = 360°

x = 360° - 280°

x = 80°

iAnswer:

Step-by-step explanation:

I can’t tell you the answer because then it will be cheating but this will help

First add all sides then u will get an equation solve it

Answer:

35

Step-by-step explanation:

Answer:

Step-by-step explanation:

plane traveled 3200 km

aver. velocity = 222 m/s

find:

How long was the flight from Nevada to LA in seconds.

solution:

time = distance / velocity

       =   3200 km    x     1000 m    

               222 m/s            1 km

        =  14,414.41 seconds

Answer:

x = 3

Step-by-step explanation:

not sure what the term is, but AB is equal to BC because AD = DC

using this, you can make the following equation:

5x - 2 = 7x - 8

subtract 5x from both sides

-2 = 7x - 5x - 8

-2 = 2x - 8

add 8 to both sides

-2 + 8 = 2x

6 = 2x

divide both sides by 2

3 = x

Answer:

1.33

Step-by-step explanation:

Answer:

Random samples are more likely to contain data that can be used to make predictions about a whole population. The size of a sample influences the strength of the inference about the population.

Step-by-step explanation:

When a positive sign is considered then the value of x is -4 and when a negative sign is considered then the value of x is -14.

Simplification is to make something easier to do or understand and to make something less complicated.

The equatiuon is (x + 9)² = 25.

Take square root on both sides, then we have

(x + 9) = ±5

For positive signs, we have

x + 9 = 5

     x = -4

For negative signs, we have

x + 9 = -5

     x = -14

More about the simplification link is given below.

https://brainly.com/question/12616840

Answer:

1. -4

2. -14

Step-by-step explanation:

Edg 2022

Answer:

879,200

Step-by-step explanation:

to get the answer we first must get the circumference of the wheel then we must multiply it by 10,000.  28 times 3.14(pie) is equal to 87.92. 87.92 times 10,000 is 879,200.

Note: I rounded pie.

Answer: 8

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

All the integers are positive.

Answer:

3

Step-by-step explanation:

Answer:

a. -1.60377

b. 0.25451

c. 0.344

d. Option b) 78th

Step-by-step explanation:

The number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.12.

a)What is the z-score value of a randomly selected bag of Skittles that has 35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

z = 35 - 38.4/2.12

= -1.60377

Option b) -1.62 is correct

b) What is the probability that a randomly selected bag of Skittles has at least 37 Skittles? a) .152 b) .247 c) .253 d).747e).7534. .

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (37 - 38.4)/2.12

= -0.66038

P-value from Z-Table:

P(x<37) = 0.25451

The probability that a randomly selected bag of Skittles has at least 37 Skittles is 0.25451

Option c) .253 is.correct

c) What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125.

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

For 39 Skittles

z = (39 - 38.4)/2.12

= 0.28302

Probability value from Z-Table:

P(x = 39) = 0.61142

For 42 Skittles

z = (42 - 38.4)/2.12

= 1.69811

Probability value from Z-Table:

P(x = 42) = 0.95526

The probability that a randomly selected bag of Skittles has between 39 and 42 Skittles is:

P(x = 42) - P(x = 39

0.95526 - 0.61142

0.34384

= 0.344

Option c is.correct

d) What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (40 - 38.4)/2.12

= 0.75472

P-value from Z-Table:

P(x = 40) = 0.77479

Converting to percentage = 0.77479× 100

= 77. 479%

≈ 77.5

Percentile rank = 78th

Step-by-step explanation:

Simplify x in the inequality.

Divide both -2x and 4 by -2:

[tex]\frac{-2x}{-2} < \frac{4}{-2}[/tex]

Answer:

[tex]x > -2[/tex]

The sign has switched since the terms have been divided by a negative number.

Answer:

Step-by-step explanation:

The solution is to isolate the term x from one side of the equation.

First, multiply by -1 from both sides.

(-2x)(-1)>(4)(-1)

Solve.

2x>-4

Then, divide by 2 from both sides.

2x/2>-4/2

Solve.

-4/2=-2

x>-2

Therefore, the correct answer is x>-2.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

26 minutes.

Step-by-step explanation:

1 hour = 60 minutes. 60 minutes + 25 miuntes= 85 minutes of total cook time. 85 - 59 = 26. We do this because he has already cooked for 59 minutes, and the total time is 85 minutes.

Answer:

48°

Step-by-step explanation:

Dilating a figure makes the side lengths proportional but does not change the measure of the angles.

Answer:

18

Step-by-step explanation:

we know that

[the area rectangular cookie sheet]=30*50--------> 1500 cm²

let's assume that each biscuit is inscribed in a square of 8 cm side

in the side of 30 cm can be placed -----> 30/8--------> 3.75----->  3

in the side of 50 cm can be placed -----> 50/8--------> 6.25----->  6

The maximum number of complete biscuits is 3*6------> 18 biscuits

the answer is 18 biscuit

Answer:

We know that

[the area rectangular cookie sheet]=30*50--------> 1500 cm²

let's assume that each biscuit is inscribed in a square of 8 cm side

in the side of 30 cm can be placed -----> 30/8--------> 3.75----->  3

in the side of 50 cm can be placed -----> 50/8--------> 6.25----->  6

The maximum number of complete biscuits is 3*6------> 18 biscuits

the answer is 18 biscuits

Step-by-step explanation: some other guy said it