A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?

Answer:

Step-by-step explanation:

the prime factors of 1470= 2 x 3 x 5 x 7 x 7

also of 7056=2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

hence of

1470 x 7056=2 x 3 x 5 x 7 x 7 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

required answer pls hit the stars and brain-list it

Answer:

a) experimental: 164/500 = 41/125, which is 0.328

b) theoretical: 2/6 = 1/3, which is 0.333333....

c) the first answer, small difference

Step-by-step explanation:

Answer:

11.52%

Step-by-step explanation:

Price (p0) = 58.6

Dividend (D1) = 6.75

P0= D1/ke

58.6 = 6.75/ke

ke = 6.75/58.6

ke = 0.1152 or 11.52%

Rate of return (ke) = 11.52%

Answer:  2/5

Step-by-step explanation:

[tex]-\frac{2}{5} + \frac{4}{5}[/tex]= 2/5

Answer:

−2/5 + 4/5= 2/5

2/5

I'd love brainliest btw (❁´◡`❁)

Answer: y=(-1/4)x

Step-by-step explanation:

slope-intercept form: y=ax+b

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

#1 Find the slope

- Use rise/run: -(2/8)=-1/4

-Use slope formula: (2-0)/(-8-0)=2/-8=-1/4

#2 Find the y-intercept

- Given the point (0,0), the y-intercept is already shown which is 0

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

a=-1/4

b=0

y=(-1/4)x

Answer:

3.6399 = 3.640

Step-by-step explanation:

[tex]3.6399\\1\:2\:3[/tex]

Rounding to nearest thousandth means rounding to 3 decimal place

(0 to 4) =round down

(5 to 9)= round up

Answer:

16 inches

Step-by-step explanation:

in a triangle, the sum of any two sides must be greater than the third side

Answer: No it is not

Answer:

x = 10

Step-by-step explanation:

Subtract 5 from both sides:

2x + 5 = 25

2x = 20

Divide each side by 2

x = 10

Answer:

x=10

Step-by-step explanation:

25-5 = 20, so then you divide 20 by 2 to get 10

Answer:

Arectangle=27.68cm (approximately)

Step-by-step explanation:

in order to find the area of the rectangle first you need to find the measure of the length and width.

since both of them aren't given ,use trigonometry to find the value of the length and width.

sin30°=opposite/hypotenuse

sin30°=opposite/8cm

opposite=sin30°*8cm. >sin30°=0.5

opposite=4cm

cos30°=adjacent/hypotenuse

cos30°=adjacent/8cm

adjacent=cos30°*8cm. cos30°=0.866

adjacent=6.92cm (approximate value)

Arectangle= bh

Arectangle=4cm*6.92cn

Arectangle=27.68cm

Answer:both

Step-by-step explanation:

Answer:

Both :)

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

Replace 'x' with the given value and evaluate.

For f(0):

[tex]f(0)=6x-8\\\\f(0)=6(0)-8\\\\f(0)=0-8\\\\\boxed{f(0)=-8}[/tex]

For f(1/2):

[tex]f(1/2)=6(1/2)-8\\\\f(1/2)=3-8\\\\\boxed{f(1/2)=-5}[/tex]

For f(-2):

[tex]f(-2)=6(-2)-8\\\\f(-2)=-12-8\\\\\boxed{f(-2)=-20}[/tex]

Hope this helps.

Answer:

-6x^2-4x-9

Step-by-step explanation:

(–6x^2 – 3x – 1) - (x + 8)

Distribute the minus sign

–6x^2 – 3x – 1 - x - 8

Combine like terms

-6x^2-4x-9

Answer:

sorry yall i can help u

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

2/5x80

16x2

32

Hope this helps

Answer:

48 died

Step-by-step explanation:

2 out of 5 survived that means 5-2 = 3

3 out of 5 died

Multiply that fraction that died by the total number

3/5 * 80

48

Answer:

Step-by-step explanation:

√108 ÷ √125 + √75

= 6√3 ÷ 5√5 + 5√3

= 11√3 / 5√5

hope this helps

plz mark as brainliest!!!!!!!

Answer:

The probability is  [tex]P(X < 25) = 0.308[/tex]

Step-by-step explanation:

From the question we are told that

   The amount of time is uniform probability distribution between 21 and 38 minutes.

  Given that the amount of time is uniformly distributed then  the probability that a randomly selected car will require less than 25 minutes to service is mathematically evaluated as

           [tex]P(X < 25) = \frac{ 25 - 21}{38 - 21}[/tex]

=>       [tex]P(X < 25) = 0.308[/tex]

a) The perimeter of question a's shape is 18 units.

b) The answer to question b is 28 ft.

Answer: 1,150

Step-by-step explanation:

100 x 5 = 500

150 x 3 = 450

500 + 450 + 200

Connor has 1,150 points

Answer:

2 2/3 cups of flour

Step-by-step explanation:

To answer this question you need to multiply 1 1/4 by 2 2/3

To multiply first make each mixed number an improper fraction

This means multiplying the whole number by the denominator, then adding the numerator

For example 1 1/4 would become 5/4 because 4 x 1 = 4 and 4 + 1 = 5, & 2 2/3 would be 8/3

Now multiply the numerator and denominator (5/4 x 8/3)

30/12 simplified to 8/3 (2 2/3)

Answer:

-4 ≤ x ≤ 0

Step-by-step explanation:

Given

x ≤ 0 or x ≥ -4

Required

Write using Interval notation

x ≤ 0 or x ≥ -4

This can be rewritten as

x ≤ 0 or -4 ≤ x

Reorder the above inequality to give:

-4 ≤ x or x ≤ 0

The above inequality can then be combined to give

-4 ≤ x ≤ 0

Hence, the interval notation of x ≤ 0 or x ≥ -4 is -4 ≤ x ≤ 0

Answer:

Hey there!

4a^2-20a+25 can be factored to (2a-5)(2a-5). Thus, the side length of the square is 2a-5. Basically, we want to find two of the same binomials that can multiply to get 4a^2-20a+25. For example, 2a times 2a = 4a^2, and you can use the foil method to solve for the rest.

4a^2 - 20a +25

(2a)^2 - 20a + (-5)^2

(2a - 5)^2

(9a2 − 16b2) is just a difference of squares, and can be factored to (3a+4b) and (3a-4b). The difference of squares formula can give us this.

Let me know if this helps :)

Answer:

Step-by-step explanation:

Part A

[tex]4a^{2} -20a+25\\\\=(2a)^2-2(5)(2a)+5^2[/tex]

does that seems familiar?

it's because it's a perfect square that can be factorized as

[tex](2a-5)^2[/tex]

so the length of each side is

2a-5 both of them

Part B

[tex]9a^2-16b^2[/tex]

[tex](3a)^2-(4b)^2[/tex]

that's a difference of squares you know [tex]x^2-y^2=(x-y)(x+y)[/tex]

so

[tex](3a-4b)(3a+4b)[/tex]

so the lengths are

3a-4b and 3a+4b

Answer:

C. 5

Step-by-step explanation:

The "second term" is basically just the second coefficient/variable pair. The first one is -6n and the second one is 5n. The coefficient is the number attached to the variable, and in 5n, 5 is the coefficient.  

Answer:

9(x-5)

Step-by-step explanation:

Product of 9 = Multiply by 9

Difference = Subtract

Number = x

Using algebraic expressions, the product of 9 and the difference between the number (x) and 5 is expressed as: 9(x - 5).

An algebraic equation involves a mixture of numbers and variables, in which case, the variable is used to represent an unknown number.

Let variable x represent the number

Product of 9 and the difference between (x - 5) is expressed as an algebraic expression as: 9(x - 5).

Learn more about algebraic expression on:

https://brainly.com/question/2164351

Answer:

21 C

22 B

23 169

Step-by-step explanation:

21 3m mean 3 times a certain number

22 the negative make the 4 go negative and the -5 positive

23 i did 5^2-4^2= 9

then 6^2 divided by 9+9= 13 i took the 9 from the 5^2 problem then divided it by 6^2

then 13 x 13 = 169

Answer:

Patricia's account balance after thirteen years is $867.16

Step-by-step explanation:

This problem is on simple interest calculation

we know that the formula for simple interest is given as

A= P(1+rt)

Given that

P= $612.40

r= 3.2%= 0.032

t= 13 years

Applying the formula we have

A= 612.40(1+0.032*13)

A= 612.40(1+0.416)

A= 612.40(1.416)

A= 867.1584

A= $867.16

Answer:

Since I can't draw it I'll give you the answer. 2,000 g.

Step-by-step explanation:

A kilogram is 1000 grams. Multiply 1000x2 to get 2000. But add the g for grams or the answer is considered wrong by teachers.