Segment PQ bisects segment ST at point R.

SR=2x+2 and ST=40

Find the length of segment SR.

a
SR=9
b
SR=40
c
SR=36
d
SR=20

Answer: Hi!, i guess you want to know the final number of turtles.

if the original number is 450 and they triplied in one year, then after the first year you have 450*3= 1350 turtles.

this process happens for 5 years, it means that the turtles triplied 5 times, you can write this as: [tex]450*3*3*3*3*3 =  450*3^{5} =109350[/tex]

So, at the end, they had a lot of turtles.

3 yellows

2 greens

2 white

1 black

green or white = 4/8

yellow or black = 4/8

green or black = 3/8

yellow or green = 5/8

 yellow or green has the higher probability

Final answer:

To estimate the sum of 3389 and 2712, round each number to the nearest thousand (3389 to 3000 and 2712 to 3000) and then add them to get an estimated sum of 6000.

Explanation:

To make an estimate for the sum of 3389 and 2712, you can round each number to the nearest hundred or thousand then add the rounded numbers. In this case, let's round to the nearest thousand for a simpler estimate:

Now add the rounded numbers:

3000 + 3000 = 6000

The number model for this estimate strategy is:

\( 3000 + 3000 = 6000 \)

This model shows the process of rounding each term to the nearest thousand and then adding them together to get an estimated sum.

Multivariate statistical techniques are a key tool used by scientists to find patterns in large data sets, allowing them to make predictions and understand relationships between variables.

One example of a tool that scientists use to find patterns in their data is multivariate statistical techniques. These techniques, often referred to as pattern analyses, are excellent at discovering and summarizing consistent patterns in large data sets. By applying these methods, scientists can identify cause and effect relationships, use graphs and charts to represent data visually, and make predictions based on the identified patterns.

Whether in biology, physics, or any other scientific field, finding patterns is essential for understanding relationships between variables, explaining general phenomena, and making meaningful predictions.

The mass of the cart is 5 kg

The calculation can be done as follows

Force= 25 N

Acceleration= 5 m/s²

The mass can be calculated as follows

Force= mass × acceleration

25= mass × 5

mass= 25/5

= 5 kg

Hence the mass of the cart is 5 kg

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Answer:

C- Figure STOP is congruent to figure S'T'O'P'.

Step-by-step explanation:

1- I got it right on my test

2- If you flipped it they would look exactly the same only backwards.

(Hope that makes sense. Sorry, i'm not good at explaning things)

To find the cost per gallon of gasoline for the Rivers family, we divide the total amount spent on gas ($67.50) by the total number of gallons purchased (23). This gives us an approximate cost of $2.93 per gallon for their trip to the beach.

A common way to analyze such problems is to determine the cost per unit, in this case, the cost per gallon of gasoline. The Rivers family spent $67.50 on 23 gallons of gasoline. To figure out how much they spent for each gallon of gasoline, we divide the total cost by the quantity of gallons.

So, the calculation is $67.50 / 23 gallons, which is approximately $2.93 per gallon. Hence, for this trip to the beach, the Rivers family was spending around $2.93 for each gallon of gasoline they purchased.

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Answer:

192.09

Step-by-step explanation:

To find the value of x when q(x) = -4, we set up the equation and solve for x.

To find the value of x for which the function q(x) is equal to -4, we can set up the equation q(x) = -4 and solve for x.

Given q(x) = 1/2x - 3, we can substitute -4 for q(x) and solve:

-4 = 1/2x - 3

Adding 3 to both sides, we get:

-1 = 1/2x

Multiplying both sides by 2 to isolate x, we have:

-2 = x

Therefore, the value of x that makes the function q(x) equal to -4 is x = -2.

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Answer: There are 768 hours in 72 days.

Step-by-step explanation:

Given: The number of hours in 25 days = [tex]266\frac{2}{3}=\frac{800}{3}[/tex] hours

Let x be the number of hours in 72 days.

Since the relation between number of hours and days is directly proportional, thus

[tex]\frac{x}{72}=\frac{\frac{800}{3}}{25}\\\Rightarrow\ x=\frac{800\times72}{3\times25}\\\Rightarrow\ x=768\text{ hours}[/tex]

Hence, there are 768 hours in 72 days.

Answer:its CCCCCCCCCCCCCCCCCCcccccc

Step-by-step explanation:

No, Clara is not correct.

Here,

Clara says that if you square the number 4 and then divide the result 2, you end up with 4.

We have to find that Clara is correct or not.

What is expressions ?

Expression in math is a phrase that can contain numbers ( 1, 2, 3 etc.), variables ( x, y, z etc.) and operators

Now,

Clara says that if you square the number 4 and then divide the result 2, you end up with 4.

If we square the number 4 we get,

[tex]4^{2} = 16[/tex]

And, then divide by 2,

[tex]\frac{16}{2} = 8[/tex]

Which is not equal to 4.

Hence, Clara is not correct.

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Answer:

$105.44.

Step-by-step explanation:

We are asked to find the the greatest amount of money that rounds to $105.40, rounded  to the nearest dime.

We know that when the next digit to rounded digit is 0, 1, 2, 3, 4; then we keep the same digit.

When the next digit to rounded digit is 5 or more than 5; then we round up our answer by one digit.

We know that 1 dime equals $0.10.

Since our answer in rounded to nearest dime, so the hundredths digit will be less than 5.

Therefore, the greatest amount of money would be $105.44.

The question involves the division of decimal numbers by whole numbers. The results are 2.06, 21.3, 5.41, and approximately 2.96, respectively. For calculations, the decimal point in the quotient is aligned with the decimal point in the dividend.

Division of Decimal Numbers

The given question involves the division of decimal numbers by whole numbers. These operations can be easily performed using long division or a calculator:

To perform these divisions, place a decimal point in the quotient (the result) directly above the decimal point in the dividend (the number being divided). Then, proceed with the division as you would with whole numbers, bringing down the digits past the decimal point as necessary.

To find how many ways you can buy 60 cookies using single cookies or packages of 10 or 30, you solve for non-negative integer solutions to the equation x + 10y + 30z = 60 and count the combinations.

The question concerns the number of ways to purchase a specific quantity of an item when given different packaging options. Here, we want to find out how many ways you can buy 60 cookies when they are sold singly or in packages of 10 or 30.

To solve this, we can set up a mathematical equation where x, y, and z represent the number of single cookies, 10-cookie packages, and 30-cookie packages, respectively. The equation would be:

x + 10y + 30z = 60

We are looking for all non-negative integer solutions to this equation. By examining the possible combinations, we can systematically list out the ways to achieve the total of 60 cookies using these packaging options.

By counting all the combinations, we can determine how many different ways there are to purchase exactly 60 cookies.