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Answer:

$115/hr    The 10 hr mechanic

$50/hr    The 5hr mechanic

Step-by-step explanation:

let the 10 hr mechanic charge x

then the 5 hr mechanic charges 165 - x

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

10x + 5(165 - x) = 1400

10x + 825 - 5x = 1400

5x = 575

x = 115    The 10 hr mechanic

165 - x = 50    The 5hr mechanic

Answer:

254.34cm^2

Step-by-step explanation:

area=πr^2

area=3.14*9^2

area=3.14*81

area=254.34 cm^2

Answer:

20

Step-by-step explanation:

Answer:

Area of field = 10 cm²

Step-by-step explanation:

Given field is a trapezium;

Parallel sides of given field are; 1¹/₂ cm and 3¹/₂ cm

Height of trapezium = 4 cm

Find:

Area of field

Computation:

Area of field = Area of trapezium

Area of trapezium = [Sum of Parallel sides / 2][h]

Area of field = [(1¹/₂ + 3¹/₂) / 2][4]

Area of field = [(5) / 2][4]

Area of field = [2.5][4]

Area of field = 10 cm²

9514 1404 393

Answer:

  D.  $101,000 – $120,000

Step-by-step explanation:

The bar graph is not completely labeled, but in the context of the question it seems safe to assume that the vertical scale can be considered to represent relative frequency.

So, the shortest bar is the one with the lowest frequency. The horizontal scale identifies that as 101-120. If we assume that is salary in thousands of dollars, then Choice D is appropriate.

Answer:

94.2

Step-by-step explanation:

Answer:

C = pie x diameter

= 3.14 x 30

= 94.2 units

Answer:

397

Step by-step explanation:

97+100+100+100

Answer:

y = -7

Step-by-step explanation:

This is a horizontal line

The y value does not change

It is of the form y=

y = -7

Answer:

y = -7

Step-by-step explanation:

A horizontal line has an equation of the form

y = k

where k is the y-coordinate of every point on the line.

We see that every point on this line has y-coordinate -7, so the equation is

y = -7

Answer:

2, 4, 6, and 8, respectively

Step-by-step explanation:

The rule says that 2 times the x value, which we are given, equals to y, which we must find. So all we hve to do is multiply each of the given x values by two to get the y value.

Answer:

y=2x

Step-by-step explanation:'

Multiply the x times 2

[tex]\frac{1}{2}[/tex]                      [tex]\frac{2}{4}[/tex]                     [tex]\frac{3}{6}[/tex]                   [tex]\frac{4}{8}[/tex]        

2          4          6           8

Answer:

[tex](a)\ f(x) =200(1.25)^x[/tex]

(b) 954 birds after 7 years

Step-by-step explanation:

Given

[tex]a = 200[/tex] --- initial

[tex]r =25\%[/tex] --- rate

Solving (a): The function.

This is represented as:

[tex]f(x) =a(1+r)^x[/tex]

So, we have:

[tex]f(x) =200(1+25\%)^x[/tex]

Express percentage as decimal

[tex]f(x) =200(1+0.25)^x[/tex]

[tex]f(x) =200(1.25)^x[/tex]

Solving (b): Birds after 7 years

This implies that we calculate f(7)

[tex]f(7) =200(1.25)^7[/tex]

[tex]f(7) =953.67[/tex]

[tex]f(7) =954[/tex] --- approximated

Answer:

(3, -5).

Step-by-step explanation:

By the definition of inverses:

[tex]\text{If $f(a) = b$, then $f^{-1}(b)=a$}[/tex]

In other words, the inverse of a function returns the input when given the output of the original function.

We know that the point (-5, 3) lies on the graph of f(x). In other words:

[tex]f(-5)=3[/tex]

Then by definition:

[tex]f^{-1}(3)=-5[/tex]

So, the point (3, -5) must lie on the graph of f⁻¹(x).

Answer:

[tex]\angle 1,\,\angle 2[/tex]

Step-by-step explanation:

"Interior"  -->  inside the triangle

"Remote" -->  away from angle 5

Answer:

A = 68/5 ≈ 13.6

Step-by-step explanation:

If they're similar, the fraction between their sides have to be the same:

5/2 = 34/A

34•2/5 = A

A = 68/5 ≈ 13.6

Answer:

72

Step-by-step explanation:

20 got 4 added to it and the only number that gives you 24 when you multiply it is 4x6 and we can prove that to be right because the one before it is 4x5 and it gives us 20. Now that we know the multiplier is 5 and 6 we can ask ourselves, "What do I multiply by 5 that gives me 60?" And that is 12. So 12x6 is 72 for x.

Answer:

f(x) - g(x) = 3x² - 3x + 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x² - x + 5

g(x) = 2x - 3

Step 2: Find f(x) - g(x)

Answer:

6

Step-by-step explanation:

y = f(x)

6 = a |1 |

6 = a. 1

a = 6/1

a = 6

Answer:

[tex] \displaystyle a = 6[/tex]

Step-by-step explanation:

we are given a absolute value function

[tex] \displaystyle f(x) = a |x| [/tex]

we want to figure out the value of a

since we are a point which is on the function we can figure out a by using the point i.e (1,6) this point tell us when x is 1 f(x) is 6 thus

substitute:

[tex] \displaystyle 6= a \cdot |1| [/tex]

absolute value of any integer is positive therefore,

[tex] \displaystyle 6= a \cdot 1[/tex]

simplify multiplication:

[tex] \displaystyle 6= a [/tex]

hence,

the value of a is [tex]\underline{\quad 6 \quad}[/tex]

Answer:

9

Step-by-step explanation:

p-1=0

p=1

p10-1=?

1*10-1=?

10-1=9

Step-by-step explanation:

(5.8 x 10⁴) + (7.17 × 10^6) =

(5.8 × 10⁴) + ( 717 × 10⁴)

= (5.8 +717) × 10⁴

= 722.8 × 10⁴

= 7.228 × 10^6

3 black and 2 red balls, total number is 5

i) Both balls are black:

ii) Black and red balls:

22 boys and 18 girls, total number is 40

Combinations of 2 students:

Combination of 2 boys:

Combination of 2 girls:

Probability of selecting 2 students of the same sex:

Answer:

1.5 pounds of oranges cost $0.81 more than 1.5 pounds of apples

Step-by-step explanation:

1.5 pounds of apples = 1.5 × $1.30 = $1.95

1.5 pounds oforanges = 1.5 × $1.84 = $2.76

$2.76 - $1.95 = $0.81

OPTION D

log(20x²/y)

is the correct answer

the answer is D!

Step-by-step explanation:

have a nice day!!!

Answer:

C 230, 92, 75, -52, -92

Step-by-step explanation:

from greatest to least.

please tell your teacher it would correctly be called "from highest to lowest".

but he/she was only focusing on numbers. understandably. so, from the greatest value to the least value.

positive numbers get smaller in their absolute values, when we go to the smaller side, but negative numbers get "bigger" in their absolute values, when we go to the smaller side.

-2 is smaller or lower than -1

and so on.

that is the reason for the correct answer.

Answer:

y = 0.36

Step-by-step explanation:

Given y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation

To find k use the condition y = 9 when x = 2 , then

9 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

36 = k

y = [tex]\frac{36}{x^2}[/tex] ← equation of variation

When x = 10 , then

y = [tex]\frac{36}{10^2}[/tex] = [tex]\frac{36}{100}[/tex] = 0.36

Answer:

y = 10/8 = 1.125 or 1 1/4

Step-by-step explanation:

Inverse proportion means

xy = a constant.

In this case, the constant is given by the example,

x = 2 when y=5, so

xy=10

when x = 8, then

y = 10/8 = 1.125 or 1 1/4

Answer:

The answers is B

y=5/4x-4

Answer:

Standard deviation = 12.8 Approx.

Step-by-step explanation:

Given series;

88, 65, 88, 49, 60, 71, 56, 87, 64, and 52.

Find:

Standard deviation

Computation:

Assume mean (a) = 60

x        d(x - a)    d²

88        28       784

65         5        25

88        28       784

49        -11        121

60         0         0

71          11        121

56        -4         16

87        27        729

64         4         16

52        -8        64        

      Σd = 80   Σd² = 2,660

So,

Standard deviation = √[Σd² / N] - [Σd / N]²

Standard deviation = √[2260 / 10] - [80 / 10]²

Standard deviation = √226 - 64

Standard deviation = √162

Standard deviation = 12.8 Approx.

Answer:

no

Step-by-step explanation:

A circle will fail the vertical line test, which means a vertical lines intersects two or more points.  If it fails the vertical line test, it is not a function