In which of the following pairs of numbers is -6 larger than the first number, but smaller than the second number?

9514 1404 393

Explanation:

638.8 is the result of evaluating the expression ...

  [tex]\dfrac{400}{\dfrac{1}{\tan^2{57^\circ}}+\dfrac{1}{\tan^2{68^\circ}}}\approx\dfrac{400}{\dfrac{1}{1.53986^2}+\dfrac{1}{2.47509^2}}=\dfrac{400}{0.42173+0.163237}\\\\\\=\dfrac{400}{0.584967}=683.799\approx\boxed{683.8}[/tex]

Any scientific or graphing calculator or spreadsheet can compute this for you. (You may need to be careful to set Degrees mode for the angles.)

Answer:

60 and - 12

Step-by-step explanation:

Substitute x = - 4 into f(x) , that is

f(- 4) = 3(- 4)² - 3(- 4) = 3(16) + 12 = 48 + 12 = 60

Substitute x = 4 into g(x)

g(4) = - 4(4) + 4 = - 16 + 4 = - 12

One

Is it 2x-3x+8=0,right?

Answer:

D. 0

Step-by-step explanation:

the answer to the equation is 0

3.  

Find the number of real number solutions for the equation. x2 – 3x + 8 = 0

cannot be determined

1

2

0

Answer:

[tex]x = - 3[/tex]

[tex]y = 1[/tex]

Step-by-step explanation:

Write the system

[tex]3x - y = - 10[/tex]

[tex]x + y = - 2[/tex]

Solve by Elimination.

multiply the second equation by -3.

[tex]3x - y = - 10[/tex]

[tex] -3x - 3y = 6[/tex]

Add the Equations.

[tex] - 4y = - 4[/tex]

[tex]y = 1[/tex]

Plug this back in one of the equations.

[tex]x + 1 = - 2[/tex]

[tex]x = - 3[/tex]

Answer:

x = -3

y = 1

Step-by-step explanation:

3x - y = -10

x + y = - 2

x + y = - 2

x = -y - 2

replacing in other equation

3(-y - 2) - y = -10

-3y - 6 - y = - 10

rearranging the equation

-3y - y = = -10 + 6

-4y = -4

y = 1

putting this value in first eqn we get

x - y = -2

x - (1) = -2

x = -2-1

x = -3

Answer:

0.86 United States Dollar

Step-by-step explanation:

The answer you are looking for is simply just n+6.

Solution/Explanation:

If you use the variable "n" to write an algebraic expression, for a number increased by 6, you must write it like this:

n+6.

And, also, increase obviously means the same thing as adding.

So, therefore, "n" stands for the number in this algebraic expression, and if you add 6 to that number "n," it must be n+6.

So, therefore, the final answer is n+6.

I hope that this has helped you. Enjoy your day, and take care!

Answer:

Step-by-step explanation:

You simply need to substitute the numbers in the x column into the equations in the topmost row. The answers are the values of a, b, c, d, e, and f.

Look at the filled in cells.

In the x column, we have -2, and the topmost row we have [tex]2^x[/tex]. The answer is given as [tex]\frac{1}{4}[/tex]. This is because [tex]2^{-2} = \frac{1}{2^{2} } = \frac{1}{4}[/tex]

Repeat this for the values that you need to find.

Hey there! I'm happy to help!

When evaluating the value of an expression, we need to follow the order of operations which is PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction).

First, we will evaluate the exponent. 3² is 3×3 which is 9.

[tex]\frac{9+2*8}{16-11}[/tex]

Now we have to do multiplication. Since the multiplication sign is between the 2 and the 8, that is what we multiply.

[tex]\frac{9+16}{16-11}[/tex]

Then we will do our addition and subtraction.

[tex]\frac{25}{5}[/tex]

Since all fractions are just division problems, we can do 25÷5.

25÷5=5

So, the value of this expression is 5.

Have a wonderful day and keep on learning! :D

Answer:

10 inches

Step-by-step explanation:

radius = 5 inches

Diameter = radius x 2 = 5 x 2 = 10 inches

Answer:

8

Step-by-step explanation:

10/(5/4) = 8

1 1/4 = 5/4

Answer:

[tex] - 4n - 8 = 4( - 3n + 2) \\ - 4n - 8 = - 12n + 8 \\ 12n - 4n = 8 + 8 \\ 8n = 16 \\ n = \frac{16}{8} \\ = 2 \\ thank \: you[/tex]

Answer: (3/g) + h

Step-by-step explanation:

Answer:

a) 7x words

b) 1000/x days

c) 15000 + 10x words

Step-by-step explanation:

The best way to do this would be to plug in real numbers to see how each situation would play out.  For example, for part a, let's say he learns 20 new words each day.  One week has seven days, so that would be 20 x 7, which is 140 words.  You multiply the # of days by the # of words, which is x.

For part b, if he tried to reach 1000 new words by doing 20 new words a day, you would find how long that would take by doing 1000 / 20, which would give you 500 days.  You divide the # of new words he's trying to reach by the # of words a day.

For part c, he already has a set # of new words that he's learned, and now he's just continuing the progress, so you start out with 15000, then add that to 10 new words a day multiplied by # of days (x).

Answer:

-2a+6

Step-by-step explanation:

-3a+a+1+5

-2a+6

Answer:

10

Step-by-step explanation:

46 - [(9 + 15 ÷ 5) × 3]

~We can simplify everythingusing PEMDAS

46 - [(9 + 3) × 3]

46 - [(12) × 3]

46 - 36

10

Best of Luck!

Answer:

46−[(9+15÷5)×3] = 10

Step-by-step explanation:

46-[(9+3)×3]

46-[12×3]

46-36

10

Answer:

Answer is 7:20

It's basically asking "what is the ratio of math teachers to total teachers?" assuming there are only math and science teachers at this school. For the sake of simplicity, let's just go with that. We have 14 math teachers and 14+26 = 40 teachers total. The ratio of math to total is 14:40 which reduces to 7:20 when we divide both parts of the ratio by the GCF 2.

Step-by-step explanation:

Answer:

the ratio is

14:26

but you can leave the answer like this the two numbers can be divided by 2 so

14/2=7 and 26/2=13

then the answer is 7:13.

Answer:

coplanar

Step-by-step explanation:

coplanar means that they lie on the same plane.

Answer:

I think the answer is coplaner

Answer:

f(2) = -3

x = (3, 3)

Step-by-step explanation:

35+ x + 60 = 180

95 + x = 180

x = 180 – 95

x = 85

x + 47 + 75 = 180

x + 122 = 180

x = 180 – 120

x = 58

105 ° = 3 x° –> Opposite angles ,

x = 105 / 3

x = 35

3x = 3(35) = 105°

Only the figure (V) I didn't know I'm sorry:(

I hope I helped you^_^

Answer:

option 1. -10

Step-by-step explanation:

—8 – 4x > 1

adding 8 on both sides,we get

-8-4x+8>1+8

-4x>9

by dividing both sides by -4, we get

-4x/-4<9/-4

x<-2.25

Hence, from the above option only -10 is smaller than -2.25. Therefore your answer is option 1.

I hope it helped U

stay safe stay happy

Answer:

x = 8

Step-by-step explanation:

[tex]y = \frac{1}{2} x - 4[/tex]

[tex]0 = \frac{1}{2} x - 4[/tex]

[tex]0 = x - 8[/tex]

[tex] - x = - 8[/tex]

[tex]x = 8[/tex]

Answer:

Perimeter = 16 cm

Step-by-step explanation:

The formula for a square's area  = s^2 where the length of the side is s.

s^2 = 16                   Take the square root of both sides

sqrt(s^2) = sqrt(16)

s = 4

The perimeter is the same

P = 4*s

P = 4 * 4

P = 16

Answer:

16

Step-by-step explanation:

Square root of 16 = 4cm

4 sides, 4 * 4 = 16cm

Answer:

Answer:

x=60°(Suppliment)

Put the above value =60°

second angle=120°

SEE the IMAGE FOR SOLUTION

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

probability is 1/2

Step-by-step explanation:

multiples of 3 that will occur in standard dice = 3,6

hence, theres 3 occasions that u will roll a 4 or multiple of 3 on a standard # cube:

3/6 = 1/2