please tell me the additive invers of -25, 18, and -4.5!! Thanks!

The population will be about 2972 population in 2020

The standard exponential equation is expressed as;

y = ab^x

where

Given the following parameters

Substittute the given parameters into the formula

y = 2000(1.02)^x

If x = 20 (from 2000 to 2020)

The population will be expressed as;

y = 2000(1.02)^20

y = 2972 populations

Hence the population will be about 2972 population in 2020

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Answer:

y= 35

x=55

Step-by-step explanation:

Answer:

predict the impact of removing snakes from this food web

1) An equation that gives the total cost in dollars, d, of attending the event if you order z ounces of fro-yo is d = $5 + $0.40z

2) 2. If your cup weighs 14 ounces, you would pay $10.6 in total for the evening.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts.

Given,

The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes you can fill your cup with yogurt and toppings for $0.40 per ounce.

1) Total cost = d

Total ounces = z

Equation

d = $5 + $0.40z

2) If cup weighs 14 ounces

d = $5 + 0.40(14)

d = $5 + $5.6

Total cost:

d = $10.6

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Therefore, Caleb paid approximately $14,067.90 for the shares.

Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.

Selling price = 130% of the amount paid

$18,189.27 = 1.3 * x

To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:

x = $18,189.27 / 1.3

Calculating this, we find:

x ≈ $14,067.90

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The sides RS and ST are equal because they are the side of the congruent triangle that is RS ≅ ST. Then the correct option is D.

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

In circle Q, ∠RQS ≅ ∠SQT.

In ΔRQS and ΔTQS

∠RQS ≅ ∠SQT (Given)

QS = QS (Common side)

RQ = QT (Radius of the circle)

The ΔRQS and ΔTQS triangles are congruent to each other. That is given as ΔRQS ≅ ΔTQS.

The sides RS and ST are equal because they are the side of the congruent triangle that is RS ≅ ST. Then the correct option is D.

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Answer:

D. rs≅st

Step-by-step explanation:

i did it

Answer:

x=4, y=-10, z=-10

Step-by-step explanation:

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

102 degrees

Step-by-step explanation:

Supplement means when both angles are added together they would equal 180. So,

78 + Angle 6 = 180

Angle 6 = 102

Using greatest common factor (GCF), Mr. Raymond should put 6 students in each group. If that happens, he will have 3 groups of 6th graders and 4 groups of 7th graders.

The greatest common factor (GCF) of a set of numbers is defined as the largest common positive integer that divides each number into equal parts with zero remainder.

If Mr. Raymond has 18 6th graders students and 24 7th grader students he wants to put in equal groups wherein each group will have students of only one grade level, find the GCF of 18 and 24 to find how many students he will put in each group.

18 : 1, 2, 3, 6, 9, 18

24 : 1, 2, 3, 4, 6, 8, 12, 24

GCF = 6

Hence, he should put 6 students in each group.

Dividing each level of students to groups of 6.

6th graders = 18/6

6th graders = 3 groups

7th graders = 24/6

7th graders = 4 groups

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(a) The books can be arranged in any order ,the answer is 40320 ways.

(b) The mathematics book must be together, and the novels must be together, the answer is 1440 ways.

(c)  The mathematics books must be together, but the other books can be arranged in any order, the answer is 10080 ways.

Further simplify,

a. If the books are to be arranged in any order,

Total number of books = 5 + 2 + 1 = 8

Number of Arrangements = 8!

Number of Arrangements = 8*7*6*5*4*3*2*1

Number of Arrangements = 40320 ways.

b. The mathematics books must be together, and the novels must be together,

To get the number of possible arrangements

First, Calculate the Possible Arrangements of Mathematics Books.

Number of Mathematics Books = 2

Arrangements = 2!

Arrangements = 2*1 = 2

Then, Calculate the Possible Arrangements of Novel Books.

Number of Novel Books = 5

Arrangements = 5!

Arrangements = 5*4*3*2*1

Arrangements = 120

Then Calculate the Possible Arrangements of the Mathematics book bundle, Novel Bundle with Biology book.

The mathematics book bundled together is 1

The novel bundled together is 1

Other books = 1 Biology

Total = 3

Arrangements = 3!

Arrangements = 3*2*1 = 6

Total Arrangements = 2 * 120 * 6

Total Arrangements = 1440

c. If the mathematics book must be together but other books can be arranged in any order.

To get the Number of Possible Arrangements

First, Calculate the Possible Arrangements of Mathematics Books.

Number of Mathematics Books = 2

Arrangements = 2!

Arrangements = 2*1 = 2

Then Calculate the Possible Arrangements of the Mathematics book bundle with other books.

The mathematics book bundled together is 1

Other books = 5 Novels + 1 Biology

Total = 7

Arrangements = 7!

Arrangements = 7*6*5*4*3*2*1

Arrangements = 5040

Total Possible Arrangements = 2 * 5040 = 10080 ways.

(a) The possible arrangements are 403220.

(b) The possible arrangements are 1440.

(c) The possible arrangements are 10080.

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Tiffany should spend $9.5 for something like the windshield wash's six minutes of services.

A customer is always the one who uses a something or service in the end, even if they didn't buy it. When a client makes a purchase and uses the good or service personally, they are considered a consumer. A consumer always makes a purchase, even if they may not be final users.

Tiffany spent an additional $0.66 per minute at the vehicle wash, so the total fee for her time would come to

= $0.73 * 6

= $4.38

This brings the total fee up to $5.12 when added to the first charge.

= $5.12 + $4.38

= $9.5

Tiffany was thus charged $9.5

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

x = 2281/2630 = 0.867

Answer:

-2

Step-by-step explanation:

Just took the test

From the bar graph given, the following can be deduced from inspection.

From the above, pirate books are more than insect books by;

Therefore, pirate books in the library are more than insect books by 60 books.

Answer:

9/28 and 32.1%

Step-by-step explanation:

So the sample space consists of all products for (5 * 1, 5 * 2, 5 * 3.... and the same thing for 6, 7, and 8)

This gives you the sample space: {5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36, 7, 14, 21, 28, 35, 42, 8, 16, 24, 32, 40, 48}.

The size of the sample space is 4 * 6, since for each number (5, 6, 7, 8), there are 6 products (the dice have six numbers). This means the sample space has 24 combinations, you can also verify this by manually counting the sample space.

Now filtering the sample space so you only get a product that is 28 or higher you get: {30, 30, 36, 28, 35, 42, 32, 40, 48} which has 9 possible combinations that have a product greater than or equal to 28. Divide this by the entire sample space and you get a probability of: 9/28, which in decimal form is approximately: \(0.3214\). Multiplying this by 100 gives you: \(32.1\)%

Answer:

95 °

Step-by-step explanation:

First , you can find the angle next to 155 by subtracting that from 180° since it's a straight line . You get 25 .

Since there's 180° in a triangle , you can then add the angles you already have : 60 + 25 = 85 .

So for your final answer , subtract 180 - 85 to get 95 °

Answer:

The measure of angle x is 65°

Hope it helps u! :)

- pls do tell me if im wrong!

Answer:

This is a type of statistical inference known as a measure of center

Answer: Distance is 17

Step-by-step explanation:

\(d = √((x2-x1)2 + (y2-y1)2)\)

\((x2-x1) = (2 -6) = 8\)

\((y2-y1) = (17 - 2) = 15\)

Add them all together

\((8)2 + (15)2 = 64 + 225 = 289\)

Square 289

\(\sqrt{289} =17\)

The relation which we see between the orders of the elements of a group and the order of the group is smallest positive power.

G = U(20), order of each element of G = ?

The smallest positive power of an element that gives you your identity is the order of the element in a group. Three instances are covered: complex numbers, a 2x2 rotation matrix, and real number elements of finite order.

G = U(20) = {1,3,7,9,11,13,17,19}

⇒ 3° ≡ 1, 3¹ ≡ 3, 3² ≡ 9, 3³ ≡ 7, 3¹ ≡ 1(20)

∴ order of 3 = 4

7⁴ ≡ 1 (mod 20) → order (7) = 4

9² ≡ 1 (mod 20) → order (9) = 2

11² ≡ 1 (mod 20) → order (11) = 2

13² ≡ 9(mod 20) → 13⁴ ≡ 81(mod 20) → 13⁴ ≡ 1 (mod 20)

⇒ order (13) = 4

order  07 = 4

17 ≡-3(mod 20) ⇒ 17² ≡ yy (mod 20)

⇒ 17⁴ ≡ 81 (mod 20) ≡ 1 (mod 20) ⇒

19 = -1 (mod 20)

19² ≡ 1 (mod 20) ⇒ order (19) = 2

Hence we get the requires answer.

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Answer:

25r+22b+65s

Step-by-step explanation:

ok so like uhh yea

The sides of the right triangle are as follows:

AC = 3.2 metres

AB = 12.4 metres

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sum of angles in a right triangle is 180 degrees.

Therefore, the sides of a right triangle can be found using trigonometric ratios.

Hence, let's find AC

tan 15 = opposite / adjacent

tan 15 = AC / 12

cross multiply

AC = 12 tan 15

AC = 12 × 0.26794919243

AC = 3.21539030917

AC = 3.2 metres

Let's find AB

cos 15 = adjacent / hypotenuse

cos 15 = 12 / AB

AB = 12 / cos 15

AB = 12 / 0.96592582628

AB = 12.423314503

AB = 12.4 units

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The original price of the sofa was $740. To find the original price of the sofa, we need to determine the price before the 70% reduction.

Let's assume the original price is represented by "x."

Since the reduction is 70%, it means that after the reduction, the price is equal to 30% of the original price (100% - 70% = 30%). We can express this mathematically as:

0.3x = $222

To solve for x, we divide both sides of the equation by 0.3:

x = $222 / 0.3

Performing the calculation, we get:

x ≈ $740

Therefore, the original price of the sofa was approximately $740.

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Answer:

C

Step-by-step explanation:

Answer:

-The increase in dollars is $1598

-The amount in her account at the end of last year was $8398.

Step-by-step explanation:

To find the increase, you have to multiply the initial amount for the percentage increase:

6800*23.5%=1598

Now, to find the amount in her account at the end of last year, you have to add the initial amount plus the increase in dollars:

6800+1598=8398

According to this, the amount in her account at the end of last year was $8398.

Answer: 71  1/2$

Step-by-step explanation:

Answer:

x= -31

Step-by-step explanation: