solve this mathematical problem
20W!4X 10w! 2=?​

Answer:

Mathematical model is:

(895/n) + 25 ≤ 60

Number of students must not be less than 26

Step-by-step explanation:

We are told that;

- the rental of a bus for the day will cost $895.

- Lunch and festival activities will cost $25 per student

If the number of students are n, then cost per student for bus rent is; $895/n

Thus, total amount per n number of students to participate is;

895/n + 25

Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.

Thus in form of inequality, we have;

(895/n) + 25 ≤ 60

Subtract 25 from both sides to get;

(895/n) ≤ 60 - 25

(895/n) ≤ 35

Multiply both sides by n and then divide both sides by 35;

895 ≤ 35n

26 ≤ n

Answer:

Step-by-step explanation:

so the steps to doing this are as follows :

Subtract the accepted value from the experimental value.

Take the absolute value of step 1.

Divide that answer by the accepted value.

Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

|18.7-19.3|/19.3 = 0.031088 * 100% = 3.1%

Answer:

0.77% increase per year

Step-by-step explanation:

total % increase in the number of college students between 1990 and 2000:

= (14.9 - 13.8) / 13.8 = 1.1 / 13.8 = 0.07971 = 7.971%

average rate of increase per year:

1.07971 = (1 + r)¹⁰

¹⁰√1.07971 = ¹⁰√(1 + r)¹⁰

1.007699 = 1 + r

r = 1.007699 - 1 = 0.007699 = 0.77% increase per year

Answer:

1.  A

2. B

3. A

4. B

5. A

Step-by-step explanation:

Edge 2022

Answer:

Explanation: Correct on Edg 2020.

Answer:

1a) f(x) = -1/3(x + 12)² + 9

1b) f(x) = -1/3x² - 8x - 39

General Formulas and Concepts:

Algebra I

Equality Properties

Expand by FOIL (First Outside Inside Last)

Standard Form: ax² + bx + c = 0

Transformations Graph: f(x) = a(bx - c)² + d

Step-by-step explanation:

Step 1: Define

Reflected down and vertically stretched by 1/3:   a = -1/3

Shifted vertically by 9 units:   d = 9

Shifted horizontally by -12 units:   c = -12

Step 2: Write Vertex Form

Step 3: Write Standard Form

And we have our final answers!

Problem 1

We're given that angle A = angle B. Also that angle B = angle C.

By the transitive property, we can say angle A = angle C.

So basically all three angles are equal to one another. Let's call that unknown angle x.

For any triangle, the three angles always add to 180, so,

x+x+x = 180

3x = 180

x = 180/3

x = 60

That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.

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

Problem 2

As mentioned in problem 1, the three angles of a triangle add to 180

A+B+C = 180

A+B+90 = 180

A+B+90-90 = 180-90

A+B = 90

This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.

Answer:

ANSWER IS B

Step-by-step explanation:

The formula for the Coulomb's law with respect to r is given by the equation r = ( Kq₁q₂ / F )^1/2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

F = Kq₁q₂ / r²

where F is the force, K is a constant, q1 and q2 are the charges on the two bodies, and r is the distance between them

On simplifying for r , we get

Multiply by r² on both sides , we get

Fr² = Kq₁q₂

Divide by F on both sides of the equation , we get

r² = ( Kq₁q₂ / F )

Taking square roots on both sides of the equation , we get

r = ( Kq₁q₂ / F )^1/2

Hence , the equation is r = ( Kq₁q₂ / F )^1/2

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Answer:

It is B

Step-by-step explanation:

A user's vocabulary is a collection of often used words in their language. A vocabulary is a helpful and important instrument for communication and knowledge acquisition that develops with age.

One of the most challenging aspects of acquiring a new language is developing a wide vocabulary.

The correct answer is B. Yes. A function is a special type of relation where each input maps to exactly one output. In relation, an input can have one or more outputs.

Words that will be used in all of the classes. Cause and effect, comparison and contrast, and challenge and remedy are some characteristics of text pattern terms. With terms like imagine, forecast, and justify, functional vocabulary can also help with question generation.

To know more about the vocabulary and its function, refer to the link below:

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Answer:

There is a 97.59% that diameter of the product will fall in the specified range.

Step-by-step explanation:

Let X be the r.v. the diameter of a product

X~N(12.5, (0.010)²)

P(12.48 < X < 12.53) = P(X < 12.53) - P(X < 12.48)

Convert the x-values to corresponding z-values

[tex]Z_{1} = \frac{12.48 - 12.50}{0.01} = -2\\\\Z_{2} = \frac{12.53 - 12.50}{0.01} = 3\\\\[/tex]

Then, using the standard normal distribution cumulative probability tables:

[tex]P(X < 12.53) - P(X < 12.48) = P(Z < 3) - P(Z < -2)\\\\= P(Z < 3) - (1 - P(Z < 2))\\\\= 0.9987 - (1 - 0.9772)\\\\= 0.9987 - 0.0228\\\\= 0.9759[/tex]

Answer:

The answer of CGF is 3.................

Answer:

3

Step-by-step explanation:

List the factors of each number

factors of 9 are 1, 3, 9

factors of 12 are 1, 2, 3, 4, 6, 12

The common factors are 1 and 3

GCF = 3

Answer:

B.

Step-by-step explanation: The value of a ratio is the quotient of the two quantities in the ratio.

Answer:

B

the quotient of the two quantities in the ratio

Answer:

y = 10x - 3

Step-by-step explanation:

Answer:

f(x)=10x+-3

f(x)=mx +b

m= slope

b= y intercept

Step-by-step explanation:

Answer:

$8.50 per pound

Step-by-step explanation:

51/6=8.5

The price of 1 pound is $8.5

An equation is a statement that relates expressions with constants or another expressions.

It is given that

6 pounds of chocolate costs $51

then let 1 pound of chocolate costs $x

The equation formed will be

x = $51/6 = $8.5

Therefore the price of 1 pound is $8.5

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Step-by-step explanation:

b²-4ac

(10)²-4(-4)(-8)

=100+16+32

=148

Answer:

Step-by-step explanation:

Its the closed dot on 9. i just did the quiz. Your welcome.

Answer: the closed dots on 9 10 11 12 13 14

15

Answer:

Step-by-step explanation:

1,2222

2,3333

3,4444

4,5555

5,6666

6,7777

7,8888

8,9999

9,10101010

Answer:

triangle?

Step-by-step explanation:

Answer:

A circle

Step-by-step explanation:

can i get brainliest

Answer:

-7/4

1/8

Step-by-step explanation:

1. If the problem is; (1 3/4) / (1/2 - 1 1/2)^(3)

(a). Convert to improper fractions;

(7/4) / (1/2 - 3/2)^3

(b). Simplify;

(7/4) / (-2/2)^3

(7/4) / (-1)^3

(7/4) / (-1)

-7/4

2. If the problem is; ((1 3/4) / (1/2)) - (1 1/2)^3

(a). Convert to improper fractions;

((7/4)/ (1/2)) - (3/2)^3

(b). Simplify;

((7/4)/ (1/2)) - (3/2)^3

((7/4)*(2/1)) - (27/8)

(7/2) - (27/8)

(28/8) - (27/8)

1/8

sin(4(3.141593^3)+3.141593^4)

sin((4)(31.006277)+3.141593^4)

sin(124.025107+3.1415934)

in(124.025107+97.409091)

sin(221.434198)

=0.998844

Tbh, might be wrong on this one. I'm on the road so didn't double-check my answer.

Answer:

388

Step-by-step explanation:

We need to find the area of the semicircle and parallelogram separately and then combine.

The formula for the area of a semicircle is 1/2(pi*r^2)

r = 12. 12^2 = 144

1/2(pi*144) = 226..1946711 which we can just round to 226

The formula for the area of a parallelogram is bh

b = 18, h = 9. 18*9 = 162.

226+162 = 388

Answer:

Step-by-step explanation:

total area = semi circle + parallelogram

                = (1/2 π 6²)  +  (9 x 18)

                = 56.55  + 162

                = 218.55 sq. units

Answer: 1,d 2,e 3,c 4,b 5,a

Step-by-step explanation:

Number is from top to bottom on left and letters are same way on right.

Answer:

15,000g

Step-by-step explanation:

Answer: 15000 grams

Step-by-step explanation: To convert Kilograms to Grams, you'll need to multiply the mass value by 1000.

Answer:

C ≈ 18.85yd

Step-by-step explanation:

Answer:

x = 2π3

Step-by-step explanation:

csc(x)csc(x) , x=πx=π

3x+2y+zx+y+z3x+2y+zx+y+z , x=2x=2 , y=3y=3 , z=1z=1

cot(3x)cot(3x) , x=2π3

Hope this helps :)

Answer: GACI

Step-by-step explanation:

Answer:

The correct answer is Integer ;)

Step-by-step explanation:

Step one:

We are told that the store offers off 10% of sales, this means that the store is offsetting the price down by 10% hence a price reduction.

Moreso, a coupon is a voucher entitling the holder to a discount off a particular product. the coupon is 40%, hence this is equal to a discount, that is price reduction by 40%.

Step two:

Say the price of an item is $100, a coupon if 40% will entitle the holder to only pay $60, that is

=40/100*100

=0.4*100

=$40 off

= 100-40

=$60

The total percent of reduction 10+40= 50%

This is equal to a discount on the sales price

Answer:

16% of the cockroaches have weights less than 78 grams.

Option A is correct.

Step-by-step explanation:

Mean = 80 g

Standard Deviation = 2

We need to find percent of the cockroaches have weights less than 78 grams so, x=78

First we will find z using formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Putting values of x, mean and Standard Deviation to find z

[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{78-80}{2}\\z=-1[/tex]

We need to find P(z<-1)

Looking in the normal distribution table

[tex]P(z<-1)=0.15866\\P(z<-1)\approx 0.16\\Converting \ into \ percentage\\P(z<-1)=16\%[/tex]

So, 16% of the cockroaches have weights less than 78 grams.

Option A is correct.