there are 30 cities in a country. Each city has 4 highways coming out of it. How many highways connecting 2 cities are there in this country?

Answer:

Step-by-step explanation:

f(x) = |x - 3| + 2

g(x) = |x + 1| - 5

Answer:

c and d

Step-by-step explanation:

Answer:

I think B is right answer

Answer:

[tex]y=8x-781[/tex]

Here, [tex]x[/tex] represents temperature and [tex]y[/tex] denotes rate of chirping per minute.

Step-by-step explanation:

Let [tex]x[/tex] represents temperature and [tex]y[/tex] denotes rate of chirping per minute.

At [tex]106[/tex]°F, a certain insect chirps at a rate of [tex]67[/tex] times per minute.

Take [tex](x_1,y_1)=(106,67)[/tex]

At [tex]108[/tex]°F, they chirp [tex]83[/tex] times per minute.

Take [tex](x_2,y_2)=(108,83)[/tex]

Slope intercept form:

[tex]y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)[/tex]

[tex]y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781[/tex]

Answer:

0(2+14x)+6(6+8x)

Step-by-step explanation:

9514 1404 393

Answer:

  x ≈ 136.7 ft

Step-by-step explanation:

As you have marked, the relevant sides are the adjacent side and the hypotenuse. The mnemonic SOH CAH TOA reminds you ...

  Cos = Adjacent/Hypotenuse

For this triangle, that means ...

  cos(43°) = (100 ft)/x

  x = (100 ft)/cos(43°) . . . . . . . . . . multiply both sides by x/cos(43°)

  x ≈ 136.73 ft

The length x is about 136.7 feet.

Answer:

77 5/8

Step-by-step explanation:

a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4

= 24/4

b) Add the answer from the previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

c) Write a previous answer (new numerator 27) over the denominator 4.

Conversion a decimal number to a fraction: -11.5 = -115/10

= -23/2

a) Write down the decimal -11.5 divided by 1: -11.5 = -11.5/1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

-11.5/1

= -115/10

c) Simplify and reduce the fraction

-115/10

= -23 * 5/2*5

= -23 * 5/2*5

= -23/2

Multiple: 27/4

* (-11.5) = 27 · (-23)/4 times5

= -621/8

Answer:

yes the graph represents a function

Step-by-step explanation:

plz mark me brainliest

Answer:

3×81^x=9^{x+4}

since power of no is multiplied to its remaining power

3×3^4x=3^2{x+4}

if there is like terms then power is added

3^{1+4x}=3^{2x+8}

if there is like terms then power can be compared

so{1+4x}={2x+8}

1+4x=2x+8

4x-2x=8-1

2x=7

x=7/2 is your answer

Answer:

45°

Step-by-step explanation:

the sum of angles in a triangle is equal 180°

we have been given that one angle equals yo 90° and the other equals to 45°

let "?" be the unknown angle

====> 180° = 90° + 45° +?

? = 180° - (90° + 45°)

? = 180° - 135°

? = 45°

Answer:

81 feet

Step-by-step explanation:

3 feet = 1 yard

Answer:

81 feet wide

Step-by-step explanation:

1) The 10 yards wide is not necessary since we only need length.

2) There are 3 feet in a yard.

3) 27 yards multiplied by 3 feet equals = 81 feet.

4) 27 * 3 = 81 feet

Answer:

First number = 75.5

Second number = 45.5

Answer:

$4 off

New price is $36

Step-by-step explanation:

Answer:

$4 discount.

$36 new price.

Step-by-step explanation:

40 x .10= 4

40- 4= 36

Answer:

the answer is x=10

Step-by-step explanation:

10*10=100

100-10=90

the red square means 90°

9514 1404 393

Answer:

  138°

Step-by-step explanation:

The measure of arc ABC is the measure of the corresponding central angle, ∠ANC. That angle is shown as 138°, so the measure of arc ABC is 138°.

Measure of an angle  ABC is 111 degrees i.e. [tex]m[/tex]∠ABC = 111 degrees.

The angle subtended by an arc at the center of the circle is double the angle subtended by the same arc at the circumference of the circle.

According to the given question

The angle subtended at the center of circle, i.e. ∠ANC = 138 degrees.

The exterior angle at the center is (360 - 138)degrees = 222 degrees

by angle subtended by an Arc of a circle theorem

[tex]m[/tex]∠ABC = [tex]\frac{222}{2}[/tex] [tex]= 111 degrees[/tex]

Hence, [tex]m[/tex]∠ABC = 111 degrees.

Learn more about angle subtended at the center of circle theorem here:

https://brainly.com/question/2506683

#SPJ2

Answer:

1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent

Step-by-step explanation:

congruent is are the same size and shape, similar have different sizes.

Answer:

i think 220

Step-by-step explanation:

because if he swim 250 then 30 less it would be 220

Answer:

Step-by-step explanation:

(+5) + (+2) = +7

If both numbers have same sign, add and the result will have the common sign

v) (-5) + (-2) = (-7)

Both numbers have 'negative sign'. So, add and the result will have the 'negative sign'

Viii) (+6) + (-3) = +3

Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '6' and its sign is 'positive'. so, the result will have positive sign

xi) (-4) + (+8) = +4

Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '8' and its sign is 'positive'. so, the result will have positive sign

The denominator of the first term is a difference of squares, such that

4a ² - b ² = (2a)² - b ² = (2a - b) (2a + b)

So you can write the fractions as

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)/(2a + b)

Multiply through the second fraction by 2a - b to get a common denominator:

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)²/((2a + b) (2a - b))

((4a ² + b ²) - (2a - b)²) / ((2a - b) (2a + b))

Expand the numerator:

(4a ² + b ²) - (2a - b)²

(4a ² + b ²) - (4a ² - 4ab + b ²)

4ab

So the original expression reduces to

4ab / ((2a - b) (2a + b))

or

4ab / (4a ² - b ²)

upon condensing the denominator again.

Answer:

Mutually Exclusive

Dependent

Step-by-step explanation:

Given that both events cannot occur at the same time, that is "both dice cannot be odd (event A) if at least one of the dice is even (event B).

Hence, this is MUTUALLY EXCLUSIVE.

Also, given the fact that the occurrence of one event (event A) affects the probability of the other (event B).

Hence, this is DEPENDENT.

Answer:

y = 2x - 5

Step-by-step explanation:

Put it in point-slope form:

y + 7 = 2(x + 1)

y + 7 = 2x + 2

y = 2x - 5

Answer:

23 and - 16 are the coefficients

Step-by-step explanation:

Given:

The limit problem is:

[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]

To find:

The limit of the function by using direct substitution.

Solution:

We have,

[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]

Applying limit, we get

[tex]\lim_{x\to 3}(x^2+8x-2)=(3)^2+8(3)-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=9+24-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=33-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=31[/tex]

Therefore, the correct option is D.

Answer:

Commission is $45.00

Weekly salary was $150.00 + $45.00

She earned $195.00 for her paycheck

Step-by-step explanation:

Step-by-step explanation:

Elsa 40÷6= 6.666, or 6 2/3 bushels per hour

Kim 40÷10= 4 bushels per hour.

together, they pick 10.66 bushels per hour, so 40÷ 10.66= 3.75 hours, or 3 hours, 45 minutes

Answer:

x = 15/[tex]\sqrt{3}[/tex] and y = 30/[tex]\sqrt{3}[/tex]

Step-by-step explanation:

I just used this trick I remembered from Honors Geometry. I am now in Honors Algebra II w/ Trig. So this trick is what is used for 30-60-90 special right triangles

The answer is number C

:)