Let n represent the time in hours for the service call and C represents the total cost in dollars. Write an equation that relates C and n

Answer:

check Analyzing Bivariate Data plots!!

Step-by-step explanation:

45--120

75--215

145--400

The required expression for climbing the rock formations is given as y = 95x + 25.

Given,

[x]Climb Height (feet) Time (minutes)(y)

1                120

2               215

3               400

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The standard linear equation is given as,
y -y₁ =(y₂ - y₁) /  (x₂ - x₁) (x - x₁)

put the values from the data table,

y - 120 = [(215-120)/(2-1)](x - 1)
y = 95(x - 1) + 120
y = 95x - 95 + 120
y = 95x + 25

Thus, the required expression for climbing the rock formations is given as y = 95x + 25.

learn more about function here:

brainly.com/question/21145944

#SPJ3

Answer:

47(whatever the unit is square)

Step-by-step explanation:

Answer:

pi is an irrational number and its value

is 22/7 in fraction and 3.14 in decimal

and 22/7 is rational number

hope it helps

Answer:

Pi is the ratio of a circle's circumference to its diameter.

The first 10 digits are 3.1415926535

Step-by-step explanation:

Answer:

Step-by-step explanation:

For two lines to be perpendicular to each other the product of their slopes must be -1.

First we need the slope of the reference line. Since

y=mx+b, where m is the slope and the line we are given is

y=2x-4

So we know the slope is 2. So our perpendicular will satisfy

m1(m2)=-1

2m=-1

m= -1/2

So now our line is

y=-x/2+b, using point (0,-7)

-7=-0/2+b

-7=b, now we have the complete line

y=-x/2-7

(Or more neatly)

y=(-x-14)/2

i am garbage dont listen to the old answer

Answer:

Son is 3. Father is 33.

Step-by-step explanation:

Let the present age of the son be 'x' years.

Then father's age will be (x + 30) years

Given : After 12 years, the father will be three times as old as his son. Therefore,

(x + 12)3 = x + 30 + 12

3x + 36 = x + 42

3x - x = 42 - 36

2x = 6

x = 3

The present age of son is 3 years and the present age of the father is 3 + 30 = 33 years.

Answer:For the cube root function f(x)=3√x f ( x ) = x 3 , the domain and range include all real numbers. Note that there is no problem taking a cube root, or any odd-integer root, of a negative number, and the resulting output is negative (it is an odd function).

Step-by-step explanation:

The domain and range for all cube root functions is set of all real numbers.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

The domain of a cube root function f (x) = ∛x is the set of all real numbers (R) because it can be calculated for all values of x. Its range is also equal to the set of all real numbers because it will result in all real numbers as y-values.

The range of a cube root function is all real numbers except for 0.

Therefore, the domain and range for all cube root functions is set of all real numbers.

To learn more about the domain and range visit:

brainly.com/question/28135761.

#SPJ2

Answer:

The bearing of B from C is 22° counterclockwise

Step-by-step explanation:

∠CAB = 210 - 90 = 120°

Extend a line from A to the west.

drop a perpendicular line from that line to point C.

Let's call the point at the perpendicular point, M.

∠MAC = 180° - 120° = 60° because they are supplementary.

Now we have a right ∠CMA with a known hypotenuse and a known angle.

Solve for MA:

cos 60° = MA/3.8 = 1.9

Solve for MC:

sin 60° = MC/3.8 = 3.29

MB = 1.9 + 6.4 = 8.3

tan ABC = 3.29/8.3 = 21.62°

Answer:

3x and 8x

Step-by-step explanation:

They both share the same variable unlike 8 and 3y which have different variables. Once simplified, the expression should equal 11x + 8 + 3y

Answer:

3x and 8x

You see 3x and 8x are both like terms because they both have x

but..

The other 3 does not have a x it has a y

I hope this helps

Let me know

:)

b-7/4=-2/3

 +7/4  +7/4

b=13/12

---

hope it helps

Answer:

y = 70x

Step-by-step explanation:

Answer:

257 pihff ertu job ruu 7oinc aet box took

Answer:

Option A

Step-by-step explanation:

Given expression is [tex]\sqrt[3]{56x^7y^5}[/tex].

[tex]\sqrt[3]{56x^7y^5}=(56x^7y^5)^{\frac{1}{3}}[/tex]

              [tex]=[(2)^3(7)(x^2)^3(x)(y)^3(y)^2]^{\frac{1}{3}}[/tex]

              [tex]=[(2)^{\frac{3}{3} }(7)^{\frac{1}{3} }(x^2)^{\frac{3}{3} }(x)^{\frac{1}{3}}(y)^{\frac{3}{3} }(y)^{\frac{2}{3} }][/tex]

              [tex]=3x^2y[(7)^{\frac{1}{3}}(x)^{\frac{1}{3}}(y^2)^{\frac{1}{3}}][/tex]

              [tex]=3x^2y\sqrt[3]{7xy^2}[/tex]

Option A is the correct option.

Answer:

7/15 probability

Step-by-step explanation:

Jermain has 15 marbles in total

7 of them are white

Hence the ratio is 7/15

Answer:

8

Step-by-step explanation:

if you take 20 divided by 2.50 it'll give you 8. So she can buy 8 fish at 2.50 a piece with 20 dollars.

Answer:

Step-by-step explanation:

Raheem , stuart and tommy share £594, the ratio of the amount of money raheem gets to amount of money tommy gets is 4:6. Raheem gets £108 less than tommy, how much does each person get.

Let the Amount of money

Raheem got = x

Tommy = y

Raheem gets £108 less than tommy

x = y - 108

The ratio of the amount of money raheem gets to amount of money tommy gets is 4:6.

Sum of Proportion =

4 + 6 = 10

=

Answer:

X= 12

Step-by-step explanation:

36/5x =3/5(cross multiplication)

180=15x

divide by 15 both sides

X = 12

Answer:

Below.

Step-by-step explanation:

First find the perpendicular  height of the pyramid.

The median of one of the faces, the height and  and half the length of the square base make a right triangle with base 2 and hypotenuse 5, so using the Pythagoras theorem:

5^2 = 2^2 + h^2

h^2 = 5^2 - 2^2 = 21

h = √21 inches.

The volume of the pyramid V = 1/3 * h * area of the base, so

V = 1/3 * 4^2 * √21

= 24.44 in^3 to nearest hundredth.

The volume of a right square pyramid will be (16√21) / 3 cubic units.

Let h be the height of the pyramid, l be the slant height and A be the base area of the pyramid.

Then the volume of the pyramid will be

Volume = (1/3) × A × h

The slant height is given as.

l² = (half of side)² + h²

A right square pyramid has a slant height of 5 inches and the length of the base is 4 inches.

Then the height of the pyramid will be

5² = (4/2)² + h²

h² = 25 - 4

h = √21 inches

Then the volume of a right square pyramid will be

Volume = (1/3) × 4 × 4 × √21

Volume = (16√21) / 3

Thus, the volume of a right square pyramid will be (16√21) / 3 cubic units.

More about the volume of the pyramid link is given below.

https://brainly.com/question/17615619

#SPJ2

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Disclaimer  it is up the student to verify all the geometry algabra and mathematical formulas and calculation .

cosФ = opp/hyp     sinФ = adj/hyp        hyp = 10      perimeter = a + b + c

for the 45° right triangle

a = b     so      2a² = hyp²                       perimeter 45 = a + a + hyp    

P45 = 2a + hyp         a = sin(45) (hyp)  = [1/2√2)] (hyp)        sin(45) = (√2)/2

P45 = 2([1/2√2)] (hyp) + hyp

P45  = hyp (√2 + 1)

for the 30° right triangle

a = hyp×sin(30)     b = hyp×cos(30)           perimeter 30 = a + b + hyp    

            sin(30) = 1/2       cos(30) = (√3)/2

a  = hyp(1/2)           b = hyp(1/2)(√3)

P30 =        a        +      b         + hyp

        =  hyp(1/2)  +  hyp(1/2)(√3) + hyp

        =  hyp[ 1/2  +  (1/2)√3  + 1]

        =  hyp[ 1/2  +  (1/2)√3  + 1]             factored out the hyp

        =  (1/2)hyp[ 1 + √3 + 2]                  factored out a 1/2

P30  =  (1/2)hyp[ 3 + √3]

which is greater  P45 or P30?   vso I set both perimeters equal to each other

              P45           vs             P30

      hyp (√2 + 1)     =    (1/2)hyp[ 3 + √3]            the hyp cancel

               (√2 + 1)     =    (1/2)[ 3 + √3]                    still tough to tell  needed

               1.414 + 1    =    (1/2)[ 3 + 1.732]                to go to the calsulator

                 2.414      vs    1/2( 4.732)

                 2.414      >     2.366        thus P45 > P30    < -----  Final Answer

Disclaimer  it is up the student to verify all the geometry algabra and mathematical calculation.

Answer:

what he said

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

first find the median of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Answer:

$240

Step-by-step explanation:

120x2

Answer:

240

Step-by-step explanation:

120x2= 240

or

120+120=240

Answer:

x = 15

Step-by-step explanation:

x + 2y = 37

x - y = 4

x + 2y = 37

2x - 2y = 8

3x = 45

x = 15

Answer:

the answer would be $128.40

Step-by-step explanation:

7% times 120 is 8.4

8.4 plus 120 is 128.4

The amount to be pay for coat is $128.4

Step-by-step explanation:

Given:The sales tax rate is 7.25% in California.

The cost for a coat in Los angeles is $120.00.

Now, to find amount to be paid.

Sales tax = 7.00%.

Cost = $120.00.

So, amount to be paid = $120 + 7.00% of $120.00.

[tex]=120+\frac{7.00}{100} *120\\=120+\frac{84}{10} \\=120+\frac{42}{5} \\=128.4!![/tex]

Therefore, the amount to be pay for coat is $128.4

Answer:36 in

Step-by-step explanation:

The formula for circumference is: C = 2πr

π = 3.14

r = radius.

The Circumference given to us is 72π. Plug in 72π for C

72π = 2πr

Isolate the variable, r. Divide 2 and π from both sides

(72π)/2π = (2πr)/2π

r = (72π)/2π

r = 36

36

Answer: 72

Step-by-step explanation:

since the formula of circumference is C= Pi times the diameter, In some cases when they don't say what Pi is same thing here. So, you would put the diameter and the pi sign next to each other. So 72 is the diameter.

Answer:

Step-by-step explanation:

(3x - 2)(3x + 2)

9x^2 + 6x - 6x - 4

9x^2 - 4