round 12.1975 to the nearest thousandth.

Answer:

She needs to jog 7 laps to make sure she covers at least 7.5 miles

Step-by-step explanation:

Kelly's goal is to complete 7 1/2 miles which in decimal form is: 7.5 miles.

Each lap around the park is 1 1/5 miles, which in decimal form is written as: 1.2 miles

Then, to find how many laps she needs to complete we do the quotient:

7.5/1.2 = 6.25

which means that she needs a quarter of a lap more than 6 laps, so she needs to go for 7 laps to meet the goal

Answer:

A

Step-by-step explanation:

[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) [/tex]

[tex] \sin( \alpha ) \cos( \alpha) = \frac{1}{2} \sin( 2\alpha ) [/tex]

Answer:

D

Step-by-step explanation:

End behaviour refers to the asymptotes, which both exponential functions have the same one at y = 2. However, they have different y - intercepts. The first one has a y - intercept of 4 and the second one has a y - intercept of 6. Thus, the answer is D.

Answer:

Step-by-step explanation:

Let's name the function from graph: f

for f:

y-intercept = f(0) = 4

for x → ∞,  f(x)→2

for g:

y-intercept = f(0) = 4(¹/₄)⁰+2 = 4•1+2 = 4+2 = 6 ≠4

f(1) =  4(¹/₄)¹+2 = 4•¹/₄+2 = 1+2 = 3

f(2) =  4(¹/₄)2+2 = 4•¹/₁₆+2 = ¹/₄+2 = 2¹/₄

f(3) =  4(¹/₄)³+2 = 4•¹/₆₄+2 = ¹/₁₆+2 = 2¹/₁₆

f((5) =  4(¹/₄)⁵+2 = 4•¹/₁₈₂₄+2 = ¹/₅₁₂+2 = 2¹/₅₁₂

....

so for x x → ∞,  f(x)→2

Answer:

Increase

Step-by-step explanation:

Since your not including the bad mark, it'd increase.

Answer:

5

Step-by-step explanation:

Answer:

5 (Follow PEMDAS left—>right)

Answer:

Value of x = 20°

Angle B = 60°

Exterior angle to B = 300°

Step-by-step explanation:

Given:

Angles of triangle.

A = 2x

B = 3x

C = 4x

We know that,

A + B + C = 180°

2x + 3x + 4x = 180°

9x = 180°

x = 20°

Value of x = 20°

Angle B = 3x

Angle B = 3(20°)

Angle B = 60°

Exterior angle to B = 360° - 60°

Exterior angle to B = 300°

Answer:

x2 # of farmers

y2 # of hours

x1# unknown workers

x2# amount wanted

x1 y1 = x2 y2

x1 (8) = 12(20)

x1 = 12(20)/8

x1 = 30

30 Farmers needed to complete the same work in 8 hours.

Answer:

The graph is attached below.

Step-by-step explanation:

The volume of the box containing the coffee mugs is,

[tex]V=x^{3}[/tex]

Then the function representing the side length, in inches, for the box is:

[tex]g(x)=x[/tex]

Now, it is provided that the company decides to double the volume of the box.

That is, the new volume will be:

[tex]V_{n}=2x^{3}[/tex]

Then the side length, in inches, for the box will be:

[tex]g_{n}(x)=\sqrt[3]{2x^{3}} =\sqrt[3]{2}x[/tex]

Then the graph representing the function, formed using the following points is:

[tex]x\ \ \ \ \ \ \ \ \ g_{n}(x)\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\0\ \ \ \ \ \ \ \ \ \ \ 0\\1\ \ \ \ \ \ \ \ \ \ \ 2^{1/3}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

Step-by-step explanation:

It is given that,

The height of the sail on a boat is 7 feet less than 3 times the length of its base.

Let the length of the base is x.

ATQ,

Height = (3x-7)

Area of the sail is 68 square feet.

Formula for area is given by :

[tex]A=lb\\\\68=x(3x-7)\\\\3x^2-7x=68\\\\3x^2-7x-68=0[/tex]

x = 8 feet and x = -3.73 feet

So, length is 8 feet

Height is 3(8)-7 = 17 feet.

So, its height and the length of the base is 17 feet and 8 feet respectively.

Answer:

Step-by-step explanation:

3 is the constant term.

Constant term is the term without any variables

Answer:

3

Step-by-step explanation:

The constant number is the number that has no variable and just a number.

50 plants total, 40% are vegetables

40% = 40/100 = 0.40

40% of 50 = 0.40*50 = 20

Answer:

5

Step-by-step explanation:

Let be blank be a

-4=a-9

-4+9=a

9-4=a

a=5

Proof:

-4=a-9

-4=5-9

-4=-4

Hope this helps ;) ❤❤❤

The value of BLANK in the given expression is 5.

To solve the equation "-4 = BLANK - 9",

Isolate the variable on one side of the equation.

To do this, we can add 9 to both sides of the equation:

-4 + 9 = BLANK - 9 + 9

This simplifies to:

5 = BLANK

So the value of BLANK is 5.

To solve the equation "-4 = BLANK - 9",

We can add 9 to both sides of the equation to isolate the variable.

This gives us the solution of BLANK = 5.

To learn more about equations visit:

https://brainly.com/question/29174899

#SPJ2

Answer:

(2a, b )

Step-by-step explanation:

Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]

Here (x₁, y₁ ) = N(2a, 2b) and (x₂, y₂ ) = P(2a, 0), thus

midpoint = [ [tex]\frac{1}{2}[/tex](2a + 2a), [tex]\frac{1}{2}[/tex](2b + 0 ) ] = (2a, b )

Answer:

Step-by-step explanation:

Each weekday repeats every 7 days.

51 = 49 + 2 = 7•7 + 2

So 49 days from now also will be Friday .

Two days later will be Sunday.

So in 51 days will be Sunday.

Answer:

Step-by-step explanation:

Given the expression -2y-8+4y, we are to find the equivalent expressed is which other expression is similar to it. This can be expressed as shown below;

Step 1: Collect the like terms of the expression

= -2y-8+4y

= (-2y+4y)-8

Step 2: Sum up the terms in parenthesis:

=  (-2y+4y)-8

= 2y-8

Step 3: factor out the common terms

= 2y-8

= 2(y-4)

Hence the equivalent expression is 2(y-4).

Answer:

A and B

Step-by-step explanation:

On Khan Academy its right.

Answer:

234 people

Step-by-step explanation:

1 fish = 3 people

Multiply each side by 78

1*78 = 3 *78

78 fish = 234 people

Answer:

234 traveling people

Step-by-step explanation:

78 times 3 equals 234

Answer:

a = 2, b = 3

Step-by-step explanation:

The diagonals of a rectangle bisect each other, thus

5a² = 4a² + 4 ( subtract 4a² from both sides )

a² = 4 ( take the square root of both sides )

a = [tex]\sqrt{4}[/tex] = 2

Also

6b - 8 = 4b - 2 ( subtract 4b from both sides )

2b - 8 = - 2 ( add 8 to both sides )

2b = 6 ( divide both sides by 2 )

b = 3

Answer:

4x+3=0 or x=-3/4

Step-by-step explanation:

9x+26+7x-17=2x-3x+5x

arrange all numbers with coefficient x at one side let's say the left hand side and constant or real numbers at the right hand side in doing that we get

9x+7x-2x+3x-5x=17-26

12x=-9

(12x)/3=-9/3

4x=-3

x=-3/4

[tex]\{2,3\}[/tex] is a set containing two elements - numbers 2 and 3

[tex]\{\{2,3\}\}[/tex] is a set containing one element - a set [tex]\{2,3\}[/tex]

Answer:

The answer is D. A reflection, a rotation and a translation will prove that shape 2 is congruent to shape 1.

Answer:

The first and third polynomials have roots in x = 3 and x = -i. (A, C)

Step-by-step explanation:

The quickest form to determine if [tex]x = 3[/tex] and [tex]x = -i[/tex] are roots consist in evaluating each polynomial and proving that result is zero.

A. [tex]f(x) = x^{3}-3\cdot x^{2}+x-3[/tex]

x = 3

[tex]f(3) = 3^{3}-3\cdot (3)^{2}+3-3[/tex]

[tex]f(3) = 27-27+3-3[/tex]

[tex]f(3) = 0[/tex]

x = -i

[tex]f(-i) = (-i)^{3}-3\cdot (-i)^{2}-i-3[/tex]

[tex]f(-i) = i + 3-i-3[/tex]

[tex]f(-i) = 0[/tex]

B. [tex]f(x) = x^{5}+9\cdot x^{4}+28\cdot x^{3} + 36\cdot x^{2}+27\cdot x +27[/tex]

x = 3

[tex]f(3) = 3^{5}+9\cdot (3)^{4}+28\cdot (3)^{3}+36\cdot (3)^{2}+27\cdot (3)+27[/tex]

[tex]f(3) = 2109[/tex]

x = -i

[tex]f(-i) = (-i)^{5}+9\cdot (-i)^{4}+28\cdot (-i)^{3}+36\cdot (-i)^{2}+27\cdot (-i)+27[/tex]

[tex]f(-i) = -i+9 -28\cdot i +36-27\cdot i +27[/tex]

[tex]f(-i) = -56\cdot i +64[/tex]

[tex]f(-i) = 64 -56\cdot i[/tex]

C. [tex]f(x) = x^{5}-9\cdot x^{4}+28\cdot x^{3} - 36\cdot x^{2}+27\cdot x -27[/tex]

x = 3

[tex]f(3) = (3)^{5}-9\cdot (3)^{4}+28\cdot (3)^{3}-36\cdot (3)^{2}+27\cdot (3)-27[/tex]

[tex]f(3) = 0[/tex]

x = -i

[tex]f(-i) = (-i)^{5}-9\cdot (-i)^{4}+28\cdot (-i)^{3}-36\cdot (-i)^{2}+27\cdot (-i)-27[/tex]

[tex]f(-i) = -i - 9+28\cdot i+36-27\cdot i-27[/tex]

[tex]f(-i) = 0[/tex]

D. [tex]f(x) = x^{3}+3\cdot x^{2}+x+3[/tex]

x = 3

[tex]f(3) = (3)^{3}+3\cdot (3)^{2}+(3)+3[/tex]

[tex]f(3) = 60[/tex]

x = -i

[tex]f(-i) = (-i)^{3}+3\cdot (-i)^{2}+(-i)+3[/tex]

[tex]f(-i) = -i+3-i+3[/tex]

[tex]f(-i) = 6-i\,2[/tex]

The first and third polynomials have roots in x = 3 and x = -i. (A, C)

Answer:

-4

Step-by-step explanation:

6 − 4x − 8 + 2

The variable is x

The coefficient is the number in front of the variable ( it will include the sign)

-4 is the coefficient

Answer:

-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x = 21 and 21 = 5x are identical relationships, and so the solution would be the same in both cases.  (Commutative Property:  order of addition/subtraction is immaterial)

Answer:

b = 76°

Step-by-step explanation:

According to the inscribed angles proposition, the measure of an inscribed angle in a semicircle is said to be 90°.

Therefore, in the figure given, m<a = 90°

b = 180° - (90° + 14°) => sum of angles in a triangle.

b = 180° - 104°

b = 76°

Answer:

Step-by-step explanation:

2x ( -3y - 4) + 8 ( -3y - 4 )

= -6xy - 8x - 24y - 32

Hope this helps

plz mark as brainliest!!!

Answer:

Step-by-step explanation:

Use FOIL method

(2x + 8)(-3y -4) = 2x*(-3y) + 2x*(-4) + 8*(-3y) + 8*(-4)

                       = -6xy - 8x - 24y - 32

Answer:

5(x-7)

Step-by-step explanation:

5(x-7) or 5x-35

Hope this helps!

P.S. Please give me brainliest. Thanks :)

Answer: 5*(x-7)

Step-by-step explanation:

no work needed

difference of a number means x

Answer:

Step-by-step explanation:

1) (-13)* .......(-13) for 35 times = (-13)³⁵

2) (2/3) *  ...... * (2/3) for 4 times = (2/3)⁴

3)(-3.1)* ......(-3.1) for 4 times = (-3.1)⁴ = 92.2531

Answer:

B. f(n) = 56(0.5)^n-1

Step-by-step explanation:

 First, You have to find out the starting population, if you look at the problem you see the population starts at 56

f(x) = 56

Second, you know that the population goes down 50% each week so it has a decay of 0.5

f(x) = 56(0.5)

 Third,  you need to add the exponent of n to make it exponential.  But, if you just add n then the the population would be 28 on week 1 which is incorrect. To fix that you make the exponent n-1 so when you are on week 1 it doesn't become 28 but it stays on 56, and on week 2 it's 28, ect

f(x) = 56(0.5)^n-1

Answer:

- All real numbers are rational numbers.   FALSE

- Some rational numbers are natural numbers. TRUE

- No real numbers are irrational numbers. FALSE

- All whole numbers are integers. TRUE

- Some integers are natural numbers. TRUE

- No rational numbers are integers. FALSE

Answer: B,D, and E

Step-by-step explanation:

A. All real numbers are rational numbers.

B. Some rational numbers are natural numbers

C.No real numbers are irrational numbers.

D.All whole numbers are integers.

E. Some integers are natural numbers.  

F. No rational numbers are integers.