Please help me with this question!

Answer:

A , B , D

Step-by-step explanation:

The maximum salary reached in 5th month.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant

For the first year, salary  = 1,200,000

For the second year, salary

= 1,200,000 + 75,000 = 1,275,000

For the last year, salary  = 1,500,000

We get the AP as

1,200,000,  1,275,000, .... ,  1,500,000

a= 1,200,000  and d = 75000

Now using

L = a + (n - 1)d

1,500,000 = 1,200,000 + (n-1) 75,000

300,000 = 75,000(n-1)

300000/75000= n-1

4= n-1

n= 5

Hence, in the 5th year the maximum salary will be reached.

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The mean is 20.7

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Class     Frequency{f}      Midpoint of frequency{x}                fx    

1-7                    13                              4                                             72

8-10                  14                             9                                              126

11-15                  18                            13                                            234

16-20                6                           18                                              108

21-35                 13                           28                                           364

36-50                19                            43                                          817

Sum                   83                                                                          1721

So,

Mean = 1721/83 = 20.7

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Answer:

Using the concepts of coordinate system and equation of line, we find that y ≥ (1/3)x + 3 and 3x-y > 2 are represented by the graph.

Step-by-step explanation:

Equation of line passes through points (a, b) and (c, d) is given by:

y-b = [(d-b) / (c-a)] / (x-a)

Given that the first solid line (≤ or ≥) has a positive slope and goes through (0, 3) and (3, 4).

y-3 = [(4-3) / (3-0)] / (x-0)

y-3 = x / 3

y - (1/3)x = 3

Also, everything above the line is shaded, i.e. the inequality represents the first graph: y ≥ (1/3)x + 3

The second dashed line (< or >) has a positive slope and goes through (0, - 2) and (1, 1).

y+2 = [(1+2) / (1-0)](x-0)

y+2 = 3x

3x-y = 2

Everything to the right of the line is shaded.

i.e. inequality represents the second graph: 3x-y > 2

Hence, the system of linear inequalities is represented by the graph :

y ≥ (1/3)x + 3

3x-y > 2

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Answer:

D

Step-by-step explanation:

Got it right on edge 2022

Answer:

It cost Hector $28.8

Step-by-step explanation:

How to find the answer:

36 - 20%

= $28.8

[tex]\boldsymbol{Answer:}[/tex] 10 and -8 ✅

[tex]\boldsymbol{Step-by-step\;explanation:}[/tex]

Hii, do you need to know the co-efficients in the expression [tex]"\boldsymbol{2+6+10b-8a}"[/tex]? No problem! (:

A "co-efficient" is a number that comes before a variable.

Here there are only two such numbers: "10" and "-8"; 10 comes before b, and -8 comes before a. 2 and 6 don't come before any variables at all, so they are not co-efficients.

Voila! There's our solution, cheers! (:

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Hope that this helped! Best wishes.

[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]

[tex]\bigstar\underbrace[/tex]

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Based on the linear pair theorem, the measure of angle 5 is: A. 83 degrees.

The linear pair theorem states that if two angles are on a straight line, the sum of their measures equals 180 degrees.

∠5 and ∠6 are a linear pair. Therefore:

m∠5 = 180 - m∠6

m∠5 = 180 - 97

m∠5 = 83°

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Answer:83 degrees

Step-by-step explanation:topG

Answer:

3rd answer

Step-by-step explanation:

Pay attention to the arcs,  minor arcs are less than 180 degrees

Answer: 1230

Step-by-step explanation:

[tex]V=\frac{1}{3}(\pi)(r^{2)h=\frac{1}{3}(\pi)(7^{2})(24) \approx \boxed{1230 \text{ cm}^{3}}[/tex]

Answer:

g(f(x)) = 9x² + 12x + 5

Step-by-step explanation:

g(f(x))

= g(3x + 2) ← substitute x = 3x + 2 into g(x)

= (3x + 2)² + 1

to expand (3x + 2)² = (3x + 2)(3x + 2)

each term in the second factor is multiplied by each term in the first factor

3x(3x + 2) + 2(3x + 2) ← distribute both parenthesis

= 9x² + 6x + 6x + 4 ← collect like terms

= 9x² + 12x + 4

then

g(f(x)) = (3x + 2)² + 1 = 9x² + 12x + 4 + 1 = 9x² + 12x + 5

The diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².

A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.

Here, Given area of cylinder = 25π cm²

          Height of cylinder = 11 cm.

Now, Area of Cylinder = 2πrh

                  25π = 2πr X 11

                   25 = 22r

                    r = 25 / 22

                  r = 1.14 cm

Then, diameter = 2r = 2 X 1.14 = 2.28 cm

Now area of wrapper = total surface area = 2πr(r + h)

                                    = 2π X 2.28 (2.28 + 11)

                                   = 4.56π X 13.28

                                   = 60.56π cm²

Thus, the diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².

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The probability that the selected customer purchased a Brand 1 model is 0.14.

Given that probability a customer would purchase the Brand 1 model TV was 70% while the rest of the customers purchased the Brand 2 model. and 20% of the Brand 1 customers purchased an extended warranty while 40% of Brand 2 customers purchased an extended warranty.

The probability that a customer would purchase Brand 1 model TV P(A)=0.70.

The probability that a customer purchases the extended warranty given that the customer purchased the Brand 1 model TV is

P(B|A)=0.20

P(A and B)÷P(A)=0.20

P(A and B)÷0.70=0.20

P(A and B)=0.14

Hence, the probability that the selected customer purchases a Brand 1 model and an extended warranty is 0.14.

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Answer:3.5s2

Step-by-step explanation:

because I said so

Answer:

3.5s2

Step-by-step explanation:

because that guy said so and it was right

70 packages can be filled from a jar that contains 7/8pounds of the leaves

Fractions are written as a ratio of two integers. If each bad contains 1/80 pound peppermint leaves, then;

1/80pounds = 1 package

To determine the total package for 7/8 pounds of leaves

7/8 pounds = x

Take the ratios

1/80 * 8/7 = 1/x

8/560 = 1/x

x = 560/8

x = 70

70 packages can be filled from a jar that contains 7/8pounds of the leaves

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Answer:

[tex]\boxed{\bf f(x)=4\cdot \left(\cfrac{7}{4}\right)^x}[/tex]

Step-by-step explanation:

In exponential form, a* b^x,

Where, "a" is value of the function when x=0 and "b" is the constant ratio of f(x) for consecutive for integer values of x.

Y-intercept : (0, 4) so, a = 4.

The graph also passes through (1,7), because 0 and 1 are consecutive integer x-values.

[tex]\bf b=\cfrac{7}{4}[/tex]

So therefore, the equation for f(x) is :-

[tex]\bf f(x)=4\cdot \left(\cfrac{7}{4}\right)^x[/tex]

Answer:

  68 coins

Step-by-step explanation:

We can use the given information to write two equations involving the numbers of coins. One will express the total number of coins; the other will express their value.

__

Since there are equal numbers of coins of each type, we can let n represent the number of each kind of coin. The total number coins will be ...

  n +n +n +n + N . . . the sum of numbers of nickels, dimes, quarters, halves

The value of the coins is ...

  0.05n +0.10n +0.25n +0.50n = 15.30

The second equation lets us find the value of n:

  0.90n = 15.30

  n = 17 . . . . . . . . divide by 0.90

Then the number of coins in all is ...

  4n = N

 4(17) = N = 68

Carmela had 68 coins in all.

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.888.. (1) ← multiply both sides by 10

10x = 8.888.. (2)

subtract (1) from (2) thus eliminating the repeating digits

9x = 8 ( divide both sides by 9 )

x = [tex]\frac{8}{9}[/tex]

Answer:

10 is the answer. hj is 10

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.Interval Notation:..

(-∞,∞)

Set-Builder Notation:

{x|x∈ℝ}

The range is the set of all valid yy values. Use the graph to find the range…

Interval Notation:

(-∞,∞)

Set-Builder Notation:

{y|y∈R}

Determine the domain and range…

Domain: (−∞,∞),{x|x∈R}

Range:   (−∞,∞),{y|y∈R}

Answer:

{ 5, 8, 11 }

Step-by-step explanation:

the range is the corresponding values of f(x) for the values of x in the domain.

substitute the x- values from the domain into f(x)

f(1) = 3(1) + 2 = 3 + 2 = 5

f(2) = 3(2) + 2 = 6 + 2 = 8

f(3) = 3(3) + 2 = 9 + 2 = 11

range is { 5, 8, 11 }

Answer:

the leading coefficent is 16 or 16n (leading term)

Step-by-step explanation:

It can be deduced that the option that represents the graph is B. f(x)=(x-a)²(x-b)⁴

From the graph, a and b be real numbers where a = b = 0. In this case, zero is not a root of the polynomial function

When the graph touches the x-axis at two point l, it implies that means that both the roots of the polynomial equation are of even degree.

Thus, the correct option B. i.e. f(x)=(x-a)²(x-b)⁴

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The slopes of perpendicular lines are negative reciprocals is proved.

An equation of a straight line is given by

y = mx +c

It is given that

Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular.

Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).

The slopes of lines PQ and P’Q’ can be determined using the formula

[tex]\rm m = \dfrac{ v _2 - v _1 }{ x _2 -x _1 }[/tex]

The product of these slopes is -1 .

This product shows that the slopes are negative reciprocals

Therefore , The slopes of perpendicular lines are negative reciprocals is proved,

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Answer:

result is 20%

Step-by-step explanation:

initially B was 100%

therefore 100% - 40%

=60% remaining

60% - 40%

= 20%

Answer:

The answer is 0.36b

Step-by-step explanation:

b-0.4xb=b-0.4b=0.6b

0.6b-0.4(0.6b)=0.6b-0.24=0.36b

Answer:

the answer is c

Step-by-step explanation:

i got it right on my test. Hope This helps!

Answer:

B) 3

Step-by-step explanation:

f(3) = 3^2 + 3(3) = 9 + 9 = 18

Answer:

7/4 * pi

Step-by-step explanation:

Area of circle = pi * r^2

Find radius:

pi * 49/64 = pi * r^2

49/64 = r^2

7/8= r

Circumference of circle = 2pi * r

2 * pi * (7/8) = 7/4 * pi

Assuming that the answer is in terms of pi as the question is in terms of pi