$8,375.79 to the nearest thousand

Answer:

x < -√3/2, x > √3/2, or -√1/2 < x < √1/2

Step-by-step explanation:

|1 - x^2| > 1/2

~Apply absolute value rule

​1 - x^2 < -1/2 or 1 - x^2 > 1/2

~Simplify

x < -√3/2, x > √3/2, or -√1/2 < x < √1/2

Best of Luck!

Hi! I'm happy to help!

To first of all write this expression, we need to know what sum means. Sum means addition, so we are adding. From there, we write it like this:

[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]

This is how you write it.

If you want to solve it, you need to know what pi is. pi is 3.14159...

It goes on forever, but we cane round to the nearest ten thousandth.

From here, you need to turn [tex]\frac{7}{4}[/tex] into a decimal. 4/4 is equal to 1, and 3/4 is equal to 0.75. Together, equal 1.75, or 7/4

Now, we solve our equation:

[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]

[tex]\frac{7}{4}[/tex]+3.14159

1.75+3.14159

4.89159

This is what the answer to the expression is.

I hope this was helpful, keep learning! :D

Answer:

1) y=-11x-50    2)y=-8x+16

Step-by-step explanation:

1.  y=mx+b- it is the main equation for a line'

If we take the first point and use its coordinates we have -6=-4m+b

If we take the second point and use its coordinates we have 5=5m+b

These equations are simultaneous for our line because the line passes through both points

-6=-4m+b

5=-5m+b

If subtract the second one from the first equation

-6-5= -4m+b- (-5m+b)

-11= m

b= -6-44=-50

y=-11x-50

2) y=mx+b

-8=-8*3+b

b=16

y=-8x+16

Answer:

no solutions

Step-by-step explanation:

[tex]4x + y = 24 - - - (a) \\ y = - 4x + 24 - - - (b)[/tex]

substitute for y in (a) with (b):

[tex]4x + ( - 4x + 24) = 24 \\ 0x = 0[/tex]

Answer:

infinite solutions

Step-by-step explanation:

substitute y in the first equation

4x+(-4x+24)=24

4x and -4x cancel out

24/24=1

or solve for x, you should also get 1

Answer:

r = 5

Step-by-step explanation:

the sine rules formula :

sin Q/q = sin R/r

=> r = q× sin R / sin Q

= 6× ⅓ / (2/5)

= 2 /(2/5)

= 2× 5/2

= 5

The measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5

According to the rule, the ratio of the sides to the opposite angles is a constant. Mathematically:

p/sinP = q/sinQ = r/sinR

Given the following parameters

sinQ=2/5, sinR=1/3, and q=6.

6/(2/5) = r/(1/3)
30/2 = 3r
15 = 3r
r = 5

Hence the measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5

Learn more on sine rule here: https://brainly.com/question/27174058

Answer:

[tex]20x\sqrt{x}[/tex]

Step-by-step explanation:

[tex]\sqrt{20x^{2} }[/tex] × [tex]\sqrt{20x}[/tex]

= [tex]\sqrt{20x^{2} * 20x }[/tex]  | * = ×

=[tex]\sqrt{400x^{3} }[/tex]

=[tex]20x\sqrt{x}[/tex]

Answer:

-2 and 6

Step-by-step explanation:

[tex] - 4 + 8 - 2[/tex]

[tex] - 6 + 8[/tex]

[tex] = - 2[/tex]

○●○●○●○●○●○●○●○●○●○●○●○●○●○

[tex]8 - ( - 3) - 5[/tex]

[tex]8 + 3 - 5[/tex]

[tex] = 6[/tex]

Answer:

y= 2× +4

Step-by-step explanation:

Slope intercept form y = mx +b

4x -2y = -8

-2y = -4x-8

y = 2x +4

slope = 2x

y intercept = 4

Answer:

D. (x+2)(-8x+70)​

Step-by-step explanation:

-8x^2+54x+140

Factor out -2

-2(4x^2+27x+70)

Factor

-2(x+2)(4x-35)

Option D is the same answer if we multiply -2 in the second term

(x+2) (-8x+70)

Answer:

4c/2a 60 degrees 3bf 2ad

Answer:

f=120

b=40

d=140

e=120

c=30

a=30

Answer:

8500

Step-by-step explanation:

depreciation=10000×15%=1500

initial cost = 10000

final cost = initial cost- depreciation

=10000-1500

=8500

9514 1404 393

Answer:

  $3281.79

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.

We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...

  A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79

There will be $3281.79 in the account after 18 months.

Answer:

-5

Step-by-step explanation:

-15<-6=-15

-15÷3

=-5

Inequalities are used to show unequal expressions. There are five inequalities, and they are: not equal to, greater than, less than, greater than or equal to and less than or equal to.

The inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]

Given that:

[tex]-15 < -6[/tex]

Divide both sides by 3

[tex]-15 \div 3< -6 \div 3[/tex]

Evaluate the division

[tex]-5< -2[/tex]

Hence, the inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]

Read more about inequalities at:

https://brainly.com/question/17194874

Answer:

h = 3 sqrt(21)

or

h = 13.75

Step-by-step explanation:

The perimeter of the rhombus is 60 feet. Like a square, all the sides of a rhombus are equal. Therefore your first step is to find FK which is a side.

FK = 60/4 = 15 feet.

Now you can use the Pythagorean Theorem.

a^2 + b^2 = c^2

a = 6

b = height or = h

c = 15

6^2 + b^2 = 15^2

36 + b^2 = 225

b^2 = 225 - 36

b^2 = 189

sqrt(b^2)= sqrt(189)

b = sqrt(3 * 3 * 3 * 7)  You can take out the square of 3 * 3 and make it 3.

b = 3 * sqrt(3*7)

b = 3 * sqrt(21)

Hey, there! Based on the table from the picture, every hour increased is $6 increased for the cost of the rental.

First hour: $10

Second hour: $16

Third hour: $22

Fourth hour: $28

So, final answer is:

+1 hour=+$6.

Anyways, I hope this helps! Enjoy your day! Take care!

Answer: a=6 and b=2

Step-by-step explanation:

Let say A and b the 2 numbers.

[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]

Answer:

3.   15

6.   4

Step-by-step explanation:

Put  3 instead of x

3.    5x

     = 5 × 3

    = 15

6.   12 ÷ x

     = 12 ÷ 3

     = 4

Answer:

When X is 3 it will be

5(3)=15

Then for the second one it will be 12/3

The answer is 4

Hope I helped

Answer:

x1 = -8, x2= 2

Step-by-step explanation:

1. Write 6x as a difference

= x^2 + 8x - 2x - 16 = 0

2. Factor the expressions

= x ( x + 8 ) - 2x - 16 = 0

= x ( x + 8 ) - 2 ( x + 8 ) = 0

Factor out x + 8 from the expression

= ( x + 8 ) ( x - 2 ) = 0

3. When the product of factors = 0, at least one factor is 0

x + 8 = 0

x - 2 = 0

4. Solve the equation for x

x = - 8

x = 2

Therefore, the equation has 2 solutions :

x1 = -8, x2 = 2

Answer:

n = 27

Step-by-step explanation:

(2n + 9) / 9 = 9

multiply both sides by 9

3n = 81

/3      /3

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

n = 27

Answer:

n = 27

Step-by-step explanation:

(2n + n)÷9 = 9

multiply both side by 9

(2n + n) = 81

3n = 81

Divide both sides by 3

3n/3 = 81/3

n = 27

Answer:

[tex]A = \frac{1}{2} \pi r [/tex]

multiply all sides by 2:

[tex]2 \times A = ( \frac{1}{2} \pi r) \times 2 \\ \\ 2A = \pi r[/tex]

divide all sides by r:

[tex] \frac{2A}{r} = \frac{\pi r}{r} \\ \\ \frac{2A}{r} = \pi[/tex]

therefore:

[tex]{ \boxed{ \sf{\pi = \frac{2A}{r} }}}[/tex]

Answer:

51

Step-by-step explanation:

1 book= N8.50

therefore 6 books= N8.50 × 6 = N51

Answer:

1764

Step-by-step explanation:

Y=6b+12ab^2

Let a = 4

b = 6

Y = 6(6) +12 (4)(6)^2

   = 36 + 12 (4) (36)

   = 36+1728

   =1764

Answer:

[tex]\huge\boxed{\sf Y = 1764}[/tex]

Step-by-step explanation:

[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

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Answer:

The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh,

Answer:

6x

Step-by-step explanation:

because in front of x^3 there is 6x and also the qn has asked to find the coefficient of x^3

Answer:

It is 6

Step-by-step explanation:

take an example:

[tex]a {x}^{3} + {bx}^{2} + cx + d[/tex]

a, b, and c are coefficients of x³, x², and x respectively.

d is a constant.

Answer:

 [tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

-1/2  ,  3

Step-by-step explanation:

In order to find the roots of the function 2x² - 5x - 3  

We have to solve the quadratic equation :

2x² - 5x - 3 = 0

Calculating the discriminant Δ :

Δ = b² - 4ac

  = (-5)² - 4(2)(-3)

  = 25 + 24

  = 49

Then

√Δ = √49 = 7

Determining the Zeros :

[tex]x=\frac{-b+\sqrt{b^{2}-4ac} }{2a} = \frac{5+7} {2 \times (2)} =\frac{12}{4} =3[/tex]

or

[tex]x=\frac{-b-\sqrt{b^{2}-4ac} }{2a} = \frac{5-7} {2 \times (2)} =\frac{-2}{4} =\frac{-1}{2}[/tex]

Answer:

80 in

Step-by-step explanation:

A = 1/2bh

400 = 1/2(10)h

400 = 5h

h = 80

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

47

Step-by-step explanation:

x is one of the three angles of a triangle. The other two are given as 95 and 38.

Together all three have to make 180 degrees.

x + 95 + 38 = 180

x + 133 = 180

x = 180 - 133

x = 47

Answer:

47

Step-by-step explanation:

as we know that sum of a triangle is always=180°

so x+38°+95°=180

so x+133=180

and x=180-133

so x= 47