M bisects QP, and QP = 27.4. Find QM.

The system of inequalities that can be used to determine he number of pencils that Mr.Carnegie can buy is 0.15x +0.75y < 30 and y < 3x.

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The total amount spent on pens and pencils cannot exceed $30. Thus, the inequality sign to be used is <. Thus, the equation is: 0.15x +0.75y < 30 and 3x > y

To learn more about inequality, please check: https://brainly.com/question/5031619

Answer:

===================================================

Explanation:

If 60% of the sample are pink salmon, then an estimate of the number of salmon in the population (aka the entire pond) is:

60% of 44 = 0.60*44 = 26.4 which rounds to 26 pink salmon

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

If 20% are yellowfin tuna, then we estimate there are 0.20*44 = 8.8 = 9 yellowfin tuna in the pond.

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

If 20% are bluegill, then we predict there are 0.20*44 = 8.8 = 9 bluegill

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

As a check:

salmon + tuna + bluegill = 26+9+9 = 44 fish total

Answer:

20° and 70°

Step-by-step explanation:

complimentary angle sum to 90°

let x be the compliment then the angle is 3x + 10 , so

x + 3x + 10 = 90 , that is

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

3x + 10 = 3(20) + 10 = 60 + 10 = 70

the 2 angle measures are 20° and 70°

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

Learn more about dosage from

https://brainly.com/question/29367085

#SPJ1

Answer:

Question 6

Question 7

Step-by-step explanation:

Question 6

AC and BD are the diagonals of the rectangle ABCD

The diagonals of a rectangle are equal

∴ BD= AC

Substituting for AC and BD in terms of their expressions in x:

4x + 5 = 3x + 12

4x-3x + 5 = 12    --> subtract 3x from both sides

x + 5 = 12

x = 12-5 = 7

Therefore BD = 4x + 5 = 4(7) + 5 =33

Question 7

In square BELF, ∠BSE is formed by the intersection of its two diagonals BL and EF

The diagonals of a square  have the following properties

We will use the third property that at intersection the angles formed are of 90°. One of these 4 angles is ∠BSE

m∠BSE = 90°

But m∠BSE = 7x + 13

Equating the two:

7x + 13 = 90

7x = 90-13 = 77

x = 11

Answer:

A. 4+5/2= 6,5 mean

Step-by-step explanation:

I don't get the second question. Sorry! But at least I tried to help part A.

Answer:

Part A Answer: 5 Part B Answer: 1.25

Step-by-step explanation:

Part A: I added all the numbers up to equal 40. 40 divided by the number of numbers given (8) equals 5.

Part B: I know the answer is 1.25 for sure but trying to figure out how to explain it!

The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1

The recursive rule

From the question, we have the following parameters that can be used in our computation:

The table

The table definitions imply that we simply multiply 2 to the previous term to get the current term

This means that

f(n) = f(n - 1) * 2

Where

f(1) = 9

The explicit rule

The table definitions imply that we simply multiply 2 to the previous term to get the current term

a = 9

r = 2

So we have

f(n) = a * r^n-1

This gives

f(n) = 9(2)^n-1

Read more about sequence at

https://brainly.com/question/29431864

#SPJ1

Answer:

Step-by-step explanation:

0.898989..... is a rational number because it has a terminating decimals

The conclusion is option A, we cannot reject the null hypothesis.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

The null hypothesis cannot  be rejected for the entire population if your sample is not sufficiently incompatible with it, which can be determined if your P value is small enough.

Therefore, we can not reject the hypothesis.

To learn more about the hypothesis;

https://brainly.com/question/29519577

#SPJ1

..........................................................................................................

9514 1404 393

Answer:

  81°

Step-by-step explanation:

Angles in a linear pair are supplementary. That means their total is 180°.

  9x° +11x° = 180°

  x = 180/20 = 9

Then the smaller angle is ...

  9x° = 9·9° = 81° . . . . measure of the smaller angle

_____

Additional comment

The larger angle will be 11·9° = 99°.

Answer:

36 cm

Step-by-step explanation:

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

Answer:

b

Step-by-step explanation:

edge

Answer:

B

Step-by-step explanation:

Answer:

$528

Step-by-step explanation:

400 × 0.04 × 8

= $128

128 + 400

= $528

Answer:

2

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

first one you will see the big triangle are 1 after that there are two and three more and then start to look at four small triangles

Answer:

I can't see the picture.

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

PEMDAS : Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

First, we want to deal with the parenthesis within the parenthesis.

(4.6/2) = 2.3

Rewrite it into the equation.

[3 * 2.3] + 14.1 = ?

Now, do the work in the parenthesis again.

[6.9] + 14.1 = ?

There isn't anymore parenthesis, exponents, or multiplication/division, so we move onto addition now and add both terms.

6.9 + 14.1 = 21

? = 21

The answer is 21.

Answer:

this figure is trapezium.

area of trapezium =1/2×(a+b)h

area of trapezium =1/2×(7+24)×24

area pf trapezium =1/2×31×24

area of trapezium =372unit²

Answer:

Aircraft A: 403 seats

Aircraft B: 298 seats

Step-by-step explanation:

Let's x represent the seats in Aircraft B

We have the equations:

Aircraft A: (x + 105)

Aircraft B: x

We Know

Their total number of seats is 701; find the number of seats for each aircraft.

We Take

x + (x + 105) = 701

2x + 105 = 701

2x = 596

x = 298 seats

So, there are 298 seats in Aircraft B

Aircraft A has how many seats?

We Take

701 - 298 = 403 seats

So, there are 403 seats in Aircraft A

Final Answers:

Aircraft A: 403 seats

Aircraft B: 298 seats

Answer:

Step-by-step explanation:

y - 4 = -(x - 2)

y - 4 =-x + 2

y = -x + 6

Answer:

1.983 or about 1 1/6

hope this helped!

Answer:

b

Step-by-step explanation:

as 2.5 × 10-^5 is 250000 and b is 3100 and if you do 10-5 + 10-3 it is 10-8 which will give u 0.0008cm I think if my calculations r correct

Answer:

a

Step-by-step explanation:

just did it and got right

Remove the parentheses and combine the like terms:

7 - -9 = 7+ 9 = 16

6i - -8i = 6i +8i = 14i

The answer is 16 + 14i

Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

The complete table of values is

x    f(x) = x   g(x) = -3x

0        0              0

1          1              -3

2         2             -6

The slope of g(x) is -3 and the graph is reflected across the x-axis

From the question, the given parameters are

f(x) = x

g(x) = -3x

The x values on the tables are

x = 0, 1 and 2

So, we have

f(0) = 0, f(1) = 1 and f(2) = 2

Also, we have

g(0) = 0, g(1) = -3 and g(2) = -6

Next, we determine the slope and the transformation

We have

f(x) = x and g(x) = -3x

A linear equation is represented as

y = mx

Where m is the slope

This means that the slope of g(x) is -3

Also, because of the negative sign in g(x) = -3x, it means that the graph is reflected across the x-axis or the y-axis

Read more about linear equations at

https://brainly.com/question/13738662

#SPJ1

To find a particular solution of the non-homogeneous equation and the general solution of the equation, we can use the method of variation of parameters.

First, let's find the Wronskian of the homogeneous solutions y1(x) and y2(x):

W(y1, y2) = | y1 y2 |

| y1' y2' |

We have y1(x) = sin(x) / √x and y2(x) = cos(x) / √x. Differentiating these functions, we get:

y1'(x) = (cos(x) / √x - sin(x) / (2√x^3))

y2'(x) = (-sin(x) / √x - cos(x) / (2√x^3))

Substituting these values into the Wronskian:

W(y1, y2) = | sin(x) / √x cos(x) / √x |

| (cos(x) / √x - sin(x) / (2√x^3)) (-sin(x) / √x - cos(x) / (2√x^3)) |

Expanding the determinant:

W(y1, y2) = (sin(x) / √x) * (-sin(x) / √x - cos(x) / (2√x^3)) - (cos(x) / √x) * (cos(x) / √x - sin(x) / (2√x^3))

Simplifying:

W(y1, y2) = -1 / (2√x)

Now, we can find the particular solution using the variation of parameters formula:

y_p(x) = -y1(x) * ∫(y2(x) * g(x)) / W(y1, y2) dx + y2(x) * ∫(y1(x) * g(x)) / W(y1, y2) dx

Here, g(x) = 3x√xsin(x). Substituting the values:

y_p(x) = -((sin(x) / √x) * ∫((3x√xsin(x)) * (-1 / (2√x))) dx + (cos(x) / √x) * ∫((3x√xsin(x)) / (2√x)) dx

Simplifying the integrals:

y_p(x) = -(∫(-3sin^2(x)) dx) + (∫(3xcos(x)sin(x)) dx)

Integrating:

y_p(x) = 3/2 (xsin^2(x) - cos^2(x)) - 3/2 (xcos^2(x) + sin^2(x)) + C

Simplifying:

y_p(x) = 3x(sin^2(x) - cos^2(x)) + C

The general solution of the equation is given by the sum of the homogeneous solutions and the particular solution:

y(x) = C1 * (sin(x) / √x) + C2 * (cos(x) / √x) + 3x(sin^2(x) - cos^2(x)) + C

where C1, C2, and C are arbitrary constants.

Answer:   x = 12

Step-by-step explanation:  

1. add 5x + 1x which will equal 6x so now your equation is:  6x + 6 = 78

2. subtract 6 from 78 to get 72:  6x = 72

3. divide 72 by 6x to get your answer 12

Answer:

x = 12

Step-by-step explanation:

6x + 6 = 78

6x = 78 - 6

6x = 72

x = 72 / 6

x = 12

Mam nadzieję, że to pomoże!