Determine the value of
X in the diagram below. Justify your reasoning.

The value 1500 in the expression represents option A. The original number of grams of the radioactive isotope present.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given an exponential expression,

The number of grams of a radioactive isotope present after t years is 1,500(1/2)^t.

Here t is the number of years.

1/2 is the rate of decay of the isotope.

1500 is the initial amount.

We can say that the expression equals 1500 when t = 0.

But it is given that t > 0.

That is, 1500 is the amount which is equal to the original number of  grams of isotope.

Hence the number 1500 represents the original number of grams of the radioactive isotope present.

To learn more about Expressions, click :

https://brainly.com/question/14083225

#SPJ5

Look at the attached picture

Hope it will help you....

Good luck on your assignment

Answer:

for number  one the it is c

Step-by-step explanation:

(6-3)^2

3^2=9

because 3 times 3 equal to 9

it just like saying what  is the answer when you multiply the number by its self

Answer:

337.5

Step-by-step explanation:

You need to add 10 to the height then multiply 25 times 27 then divide by 2.

Hope this helps.

Answer:

212.5 cm² and 120 in²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

(4)

Here b = 25 and h = 17, thus

A = 0.5 × 25 × 17 = 212.5 cm²

(5)

Here b = 12 and h = 20, thus

A = 0.5 × 12 × 20 = 6 × 20 = 120 in²

Answer:

(5,0) You need to calculate the horizontal axis first wich is 5

Step-by-step explanation:

Answer:

(5,0)

Step-by-step explanation:

Would you mind giving me brainliest?

Answer:

the answer is v=113040

Step-by-step explanation:

Answer:

v=113040

Step-by-step explanation:

Answer:

The scale factor for dilation can be worked out from the ratio of sides.

Here, for i.e, I'H'/IH = (8 + 4)/(4 + 2) = 12/6 = 2

Hope this helps!

:)

The scale factor for this dilation is 2

The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger. The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image.

As per the given data:

We are given a diagram having 2 triangles, we need to find the scale factor for this dilation.

For finding the scale factor, we can find the ratio of the corresponding sides of the two triangles.

Scale factor for ΔG'H'I' and ΔGHI :

= [tex]\frac{H'I'}{HI}[/tex]

From the given graph, we can clearly observe that

H'I' = 8 + 4 = 12

HI = 4 + 2 = 6

[tex]\frac{H'I'}{HI}[/tex] =  [tex]\frac{12}{6}[/tex] = 2

Hence, The scale factor for this dilation is 2.

To learn more about dilation, click:

brainly.com/question/13176891

#SPJ3

Answer:

D. 112

Step-by-step explanation:

Since we know that a triangle totals 180 degrees, we can easily figure out the third angle. Since each measure 34 degrees, simply multiply by 2. You get 68 degrees. Then you do 180-68 to get 112.

Answer:

A=24

Step-by-step explanation:

Area for triangle = 1/2b(h)

so 1/2(6)8=24

Answer:

A. y = 3sin(x-2) + 1

Step-by-step explanation:

The function whose graph is y= 3 sin (x-2)+1.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

As, From the graph that is provided to us we observe that,

when x=2 then f(x)=1.

1. y= 3 sin (x-2)+1

When x=2 gives y= 1

So, the equation satisfied.

2. y = 3 sin (x-2)+2

When x= 2 gives y= 2

So, the equation not satisfied.

3. y = 3 cos (x-2)+1

When x= 2 gives y > 1

So, the equation not satisfied.

Thus, the required function is y= 3 sin (x-2)+1.

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ7

Answer:

(x+7)(x-4)

Step-by-step explanation:

(x^2-4x)+(7x-28)

=x(x-4)+7(x-4)

=(x+7)(x-4)

Answer: -4.5x + 30

Step-by-step explanation:

Simplify.

-x- (-15) - 3.5x +15

Remove parentheses.

-x + 15 -3.5x + 15

Collect like terms.

(−x−3.5x)+(15+15)

Simplify.

-4.5x + 30

Answer:

Car 1 and Car 4

Step-by-step explanation:

Car 1-70mph

Car 2-60mph

Car 3-64mph

Car 4-70mph

So, its Car 1 and Car4

Answer:

Step-by-step explanation:

Answer:

G) 60 m2

Step-by-step explanation:

1) Cut off the triangles and solve for the area of the rectangle.

    12 m x 4 m = 48m

2) Now that we have the big area of the rectangle, we just have to solve for the 2 triangles on the ends. Of the 18 m at the top, we uses 12 m to make the rectangle. That means there are 6 m that was not incorporated in the rectangle. Since there are 2 triangles, we can conclude that the base of each triangle is 3. Now we just have to use the equation for a triangle to find the area.

    4 m x 3 m x 1/2 = 6m (each triangle = 6m)

3) Add up all of the values to get the complete area

    48m + 6m + 6m = 60 m2

Hope this helps!!! (Sorry if my explanation in confusing)

Answer: Depends on what your talking about so I'll give all 3 definitions.

Step-by-step explanation:

1.)The literal or primary meaning of a word, in contrast to the feelings or ideas that the word suggests.

-Used in a sentence- Beyond their immediate denotation, the words have a connotative power.

2.) When used in philosophy it means, the object or concept to which a term refers, or the set of objects of which a predicate is true.

3.) And, the last definition is, the action or process of indicating or referring to something by means of a word, symbol, etc.

Answer:

27, 12, 9, 6, 4, 3

Step-by-step explanation:

please vote me brainliest

Answer:

4/10 of a pitcher

Step-by-step explanation:

Jaxon drank 2/5 = 0.2 = 4/10

Kesha drank 0.4 = 4/10

Luann drank 1/2 = 5/10

4/10 + 4/10 + 5/10 = 13/10 = 26/30

Which would leave Samuel to drink the remaining 4/10 of the soda.

Hope this helps (sorry if its confusing)

Answer:

x^5 = x^n

Step-by-step explanation:

x^9*x^-4=x^n

x^5 = x^n

Answer:

B

Step-by-step explanation:

Answer:A

Step-by-step explanation:You should always atleast buy something for your earnings

Answer:

s+6

Step-by-step explanation:

You just add 2 and 4.

Answer:

Associative

Step-by-step explanation:

(s+2)+4 = s + (2 + 4)

s + 6 = s + 6

Answer:

129 1/3

Step-by-step explanation:

According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."

The outer perimeter is 129 1/3 feet.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.

So, there are $20/4

                   =5$ square posts on each side, not including the corner posts.

and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.

Then, the length of a side is

= 7 1/3 + 6(5)

= 32 1/3 feet

and, The perimeter of the square

= 4 x 32 1/3

= 129 1/3 feet

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

Naomi used 15 red tiles in her design.

Step-by-step explanation:

We need to add the total number of tiles that we know to find out the unknown value of red tiles. The blue tiles make up 1/2 of the design, or 50 tiles. Next we will add the green tiles, which Naomi used  15 of, as stated.

So far, we have figured out how many blue and green tiles we have. (50 blue, and 15 green, which is a total of 65).

Now we need to calculate the number of yellow tiles, which equal 1/5 of the design. 1/5 of 100 is 20.

Now we add all of our tiles that we already know. We have 50 red + 15 green + 20 yellow which = 85.

Now to find the unknown value of red tiles, we subtract our 85 other tiles from the 100 total tiles, and the ends us up with 15 red tiles.

Hope this helps!!

stay safe  :0)

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

64 feet

Step-by-step explanation:

To find the height of the kite we use sin trigonometric ratio.

Let the height of the kite from the ground be x feet.

[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]

Answer: You Would have To know How Far it will go In the next 60 min. (c

Step-by-step explanation:

Answer:The answers are down there.

Step-by-step explanation:

A) The speed of the train on the last section is  20miles/ 30 minutes  which 0.66 miles per minute.

B) It traveled the fastest from 50 to 60 minutes or 30 miles to 60 miles.

C) The train will travel 60 miles in 60 minutes.

D)The train stopped for  20 minutes during the journey.

Answer:

Bill > balance in account ( 48.67 > 30.85).

Then he got 0 left in his account.

Answer:

Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can FOCUS ON SAVING FOR A DOWN PAYMENT. Next, Marcel can make his goal timely by GIVING HIMSELF A DEADLINE. Lastly, Marcel can make his financial goal measurable by TRACKING THE AMOUNT OF MONEY HE SAVES each month.

Width (7.8) x length (7.8) x width (7.8) = 474.552

Answer:

Let's denote:

x: number of bicycles

y: number of  skateboards

Then, we have:

x + y = 20

2x + 4y = 52

=> 2(20 - y) + 4y = 52

=> 2y = 12

=> y = 6 (number of skateboards)

=> x = 14(number of bicycles)

Hope this helps!

:)