Triangle P'Q'R' is a dilation of triangle PQR using center C and scale factor 1.5

1. Is triangle P'Q'R' larger or smaller than triangle PQR? Explain how you know.

The total balance in John's account after depositing his paycheck is, 800.47.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The balance in John's account before depositing his paycheck = 249.50

And, He deposit 550.97 in his account.

Here, The balance in John's account before depositing his paycheck = 249.50

Hence, The total balance in John's account after depositing his paycheck is,

⇒ 249.50 + 550.97

⇒ 800.47

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The average speed in miles per hour during her drive that morning is 43.5 miles per hour   .

In the question ,

it is given that ,

the distance between home to freeway entrance is = 0.6 miles

the distance between freeway entrance to freeway exit is = 15.4 miles

the distance between freeway exit to workplace is = 1.4 miles

So , the distance from home to work place = 0.6 + 15.4 + 1.4 = 17.4 miles

we know that 24 minutes = 24/60 = 0.4 hours ,

the average speed = total  distance / total time

= 17.4/0.4

= 43.5 miles per hour

Therefore , the average speed is 43.5 miles per hour .

The given question is incomplete , the complete question is

One morning, Ms. Simon drove directly from her home to her workplace in 24 minutes. what was her average speed, in miles per hour, during her drive that morning ?

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Answer:

4.56 kg

Step-by-step explanation:

1 kilogram (kg) is equal to 1000 grams (g).

Answer:

To change gram into kilogram, we divide by 1000

4560/1000 = 4.560

The answer is 4.56kg

The term refers to a process that is deployed to ensure the confidentiality and integrity of data while being stored or when it is transmitted is called "Encryption".

Data encryption is a computational procedure that converts plaintext/cleartext (unencrypted, readable data) in ciphertext (encrypted data), which is only available to authorised users with the correct cryptographic key.

Some key features regarding the encryption are-

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Amanda can fill 16 daisy-shaped molds with the remaining gelatin.

To determine how many daisy-shaped molds Amanda can fill with the remaining gelatin, we can use the equation x = (60 - 12) / 3, where x represents the number of daisy-shaped molds.

Amanda plans to fill a large flower-pot-shaped mold with 12 ounces of gelatin, leaving her with the remaining amount to fill the daisy-shaped molds. The total amount of gelatin in the package she bought is 60 ounces. To find out how many daisy-shaped molds she can fill, we need to subtract the amount used for the large mold from the total amount of gelatin. Thus, (60 - 12) gives us the remaining gelatin available for the daisy-shaped molds, which is 48 ounces.

Since each daisy-shaped mold holds 3 ounces, we can divide the remaining gelatin by the capacity of each mold. Therefore, we divide 48 ounces by 3 ounces per mold, resulting in x = 16. This means that Amanda can fill 16 daisy-shaped molds with the remaining gelatin.

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The exponential function that relates the total population, is \(P(t)=540,000\left [ 1+(5.1/100) \right ]^t\) and the rate at which the population is increasing in the year 2019 is 69114.53.

The exponential function in mathematics is represented by the symbol eˣ (where the argument x is written as an exponent). The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, however it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

we know that ,

the population of any city can be modeled in the form of exponential function as follows:

\(P(t)=P(0)(1+R)^t\)    

where, P(t)=population of the town at any given time t

P(0)=population of the town initially (in the year 2000 for this problem)=540,000

R=rate of increase (=5.1% in the given problem)

substituting the values in eqn(1), we get

\(P(t)=540,000\left [ 1+(5.1/100) \right ]^t\)

as we know that

\(\because \frac{d}{dx}(a^x )=a^xln(a)\)

so differentiating w.r.t. we get,

\(P'(t)=540,000\left [ 1+(5.1/100) \right ]^t*ln(1+(5.1/100) )\\\\P'(t)=540,000\left [ (105.1/100) \right ]^t*ln(105.1/100)\\\\P'(t)=540,000\left [ (1.051) \right ]^t*ln(1.051)\)

so, the rate at which population is increasing in the year 2019 =

\(P'(19)=540,000(1.051)^{19}*ln(1.051)\)

P'(19)= 69114.53.

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Complete question:

The population of Toledo, Ohio, in the year 2000 was approximately 540,000. Assume the population is increasing at a rate of 5.1 % per year.

a. Write the exponential function that relates the total population, P(t), as a function of t, the number of years since 2000. P(t) = =

b. Use part a. to determine the rate at which the population is increasing in t years. Use exact expressions. P'(t) people per year

c. Use part b. to determine the rate at which the population is increasing in the year 2019. Round to the nearest person per year. P'(19) = people per year

Answer:

The answer is 30

Step-by-step explanation:

It is 30 because if there is 75 and the total needs to be 105 then you have to add 30+75+105! Thats the answer.

I got it right! :)

The CBD angle is 30 degrees. 

An angle is formed when two straight lines or rays meet at a common endpoint.

Given that the measure of angle ABD is 105º and the measure of angle ABC is 75º.

According to the given figure, the relation between angles is given by

angle ABD = angle ABC + angle CBD

Let x be the angle CBD then

105 = 75 + x

i.e  x = 105 - 75 = 30

Hence the angle CBD is 30°.

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Answer:

no

Step-by-step explanation:

Answer:

tan 72°=58/19

Step-by-step explanation:

i think this is the right answer

Answer:

1:24

Step-by-step explanation:

Convert inches to feet, 7.25 inches is 0.604 feet.

0.604:14.5 needs to become 1:something, so set up 0.604/14.5 = 1/x

Solve for x now by dividing 14.5 by 0.604. You get 24 for x, so the answer is 1:24 scale!

The sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.

To determine whether the sequence {an} = {\(8n^4 + n + 1\)} is convergent, we need to examine the behavior of the terms as n approaches infinity.

The sequence {an} is said to be convergent if there exists a real number L such that the terms of the sequence get arbitrarily close to L as n approaches infinity.

To investigate convergence, we can calculate the limit of the sequence as n approaches infinity.

lim(n→∞) \((8n^4 + n + 1)\)

To evaluate this limit, we can look at the highest power of n in the sequence, which is \(n^4.\) As n approaches infinity, the other terms (n and 1) become insignificant compared to n^4.

Taking the limit as n approaches infinity:

lim(n→∞) \(8n^4 + n + 1\)

= lim(n→∞) \(8n^4\)

Here, we can clearly see that the limit goes to infinity as n approaches infinity.

Therefore, the sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.

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The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.

According to the statement

we have given that the 3 integers are in an arithmetic progression and their product is prime.

And we have to find the sum of their squares.

So, let the three integers which is A, B, C.

And according to the arithmetic progression the

A = x and B = x-d, C = x-2d. here d is the common difference and x is a 1st term.

So, there product is prime

then

(x) (x-d) (x-2d) = c -(1)

And

their sum of square is

(x)^2 + (x-d)^2 + (x-2d)^2 - (2)

So, The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.

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Answer: 30 miles

Step-by-step explanation: so first if Jayana is 30% of the way to achieving her goal and she has already ran 9 miles. You will have to convert 30% into a decimal. 30% is the same thing as 0.3 so, as that being said you will have to divide 9 by 0.3 because we are trying to find the miles.

Answer: YOU MUST USE PEMDAS

Step-by-step explanation:

pls give me brainliest im almost lvled up

Answer:

Sample Response: A trend line shows the relationship between the two variables in the scatterplot. It can be used to predict based on the relationship, but it cannot be expected to produce exact figures.

Step-by-step explanation:

The probability that exactly 15 of the 20 randomly selected adult smartphone users use their smartphones in meetings or classes is 0.1805.

Calculating the probability of exactly 15 out of 20 randomly selected adult smartphone users using their smartphones in meetings or classes:

1. Calculate the probability of an individual using their smartphone in meetings or classes: p = 0.57.

2. Calculate the combination of 15 out of 20: C(20, 15) = 15504.

3. Calculate the probability of 15 out of 20 using their smartphones in meetings or classes: \(p^15(1-p)^5 = (0.57)^15(1-0.57)^5 = 0.1805.\)

4. Multiply the combination of 15 out of 20 by the probability of 15 out of 20 using their smartphones in meetings or classes: \(C(20, 15) * p^15(1-p)^5 = 15504 * 0.1805 = 2777.872.\)

5. Round the final answer to four decimal places: 2777.872 = 0.1805.

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Given:

Speed of car is

Required:

Breaking distance d

Explanation:

We have formula to find the breaking distance

substitute the values

Final answer:

Breaking distance of car at speed 57 kmph with 0.8 friction is 16 m approximately.

In slope intercept form, Equation 14x-20y=-13 can be written as 13 + 4y/20 = y.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation. The slope, m, is a measure of how steep a line is. The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.

Given,

Equation

14x-20y=-13

In slope intercept form

13 + 4x = 20y

13 + 4y/20 = y

In slope intercept form, Equation 14x-20y=-13 can be written as 13 + 4y/20 = y.

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Answer:

1 solution

Step-by-step explanation:

4h + 2 = 3h - 7

Subtract 3h from both sides:

(4h + 2) - 3h = (3h - 7) - 3h

h + 2 = -7

Then, subtract 2 from both sides to isolate h:

(h + 2) - 2 = (-7) - 2

h = -9

There is one solution, -9.

Each video game = $19 and each DVD = $ 32

An equation is a mathematical statement that represent that two expressions are equal. An equation can be formed by one or more variables along with numerical terms.

let, x denotes the cost of each video games.

y denotes the cost of each DVD

Katie bought 2 games and 3 DVD and total spent $134.

the equation can be written as 2x + 3y = $134 .......equation 1

Emily bought 1 less video game than Katie that means she bought 1 game.

 and    2 more DVD than Katie that means 5 DVD bought by Emily.

total spent of Emily = $179

The equation will be x + 5y = $179...... equation 2

in order to solve the two equations by addition method

we multiply by 2 to the second equation.

2x + 10y = 358

the first equation 2x +3y = 134

                             2x + 10y = 358

                            -       -          -

                    by subtracting we get,

                         - 7y = -224

                         y = 32

from the 2nd equation we get x = -5×32 + 179

                                       x = 19

each video game cost $ 19 and each DVD cost $ 32

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Answer:

c) -66%, -0.45, -1/3, 1.8

Step-by-step explanation:

Numbers provided:

Rewrite them in decimals:

In ascending order (from least to greatest):

Solution: -66%, -0.45, -1/3, 1.8

Answer:

3/4 a pint

Step-by-step explanation:

1/4 + 2/4 = 3/4

Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

Answer:

Step-by-step explanation:

2(√x+2/2 - 1)² + 4 (√x+2/2 - 1)

2((√x+2/2)² + 1² - 2(√x+2/2)(1)) + 4√x+2/2 - 4

2(x+2/2 + 1 - 2(√x+2/2)) + 4√x+2/2 - 4

x + 2 + 2 - 4√x+2/2 + 4√x+2/2 - 4

x + 4 - 4

x

Answer:

the answer is x

Step-by-step explanation:

Answer:

15.75 miles

Step-by-step explanation:

You would do 2.25 times 7 (the amount of days in the week)

The first scenario described is an example of a retrospective cohort study.  The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.

1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.

2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.

3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.

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Answer is 1

We solve it using the rational zero theorem.

Find the factor (1,2,3,4,5...) that satisfies the given equation, as well as its negatives.

We discover that (-5) satisfies the equation, implying that x+5 is a factor of the equation.

\( 3{x}^{3} +9 {x}^{2} - 23x + 35 = 0 \\ put \: x = - 5 \\ 3 ({- 5}^{3}) + 9( { - 5}^{2} ) - 23( - 5) + 35 \\ yes \: we \: get \: 0 \: after \: solving \)

When we divide the equation by x-5, we get a 3x²-6x+7 quotient As there is no remainder, the factors are (x-5) (3x²-6x+7).

We get below after solving 3x²-6x+7.

\(x= \frac{(6+ \sqrt (-48))} 6= \frac{1 + 2i \sqrt{3} }{3} \)

\(x = \frac{(6 - \sqrt (-48))} 6= \frac{1 + 2i \sqrt{3} }{3}\)

So there is only 1 rational zero and the other 2 zeros are irrational

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A car travels 500/3 meters in 2 seconds.

What is speed?

The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.

Here, we have

Speed of car  = 100 KM/ hour

1 km= 1000m

1 hour = 3600 seconds

Let's find the speed of the car in Meters/second

Speed of car in m/sec = 100*1000 m/3600 second

Here we have taken 1000 for km and 3600 for an hour

Speed of car in m/sec = 100*1000 m/3600 second = 500/18 m/second

Speed of car in m/sec = 250/9  m per sec

We know that

Distance = speed*time

Speed = 250/9  m per sec

Time = 2 second

Distance = 250/9 * 2 meters = 500/3 meters

Hence, a car travels 500/3 meters in 2 seconds.

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Answer:

(13.5,-46.5)

Step-by-step explanation:

Since equation 2 is missing y, then x is a constant

-2x + 61 = 34

-2x = 34 - 61

-2x = -27

x = 13.5

Then plug x into the 1st

5x + y = 21

5 * (13.5) + y = 21

67.5 + Y = 21

y = 21 - 67.5

y = -46.5

So the point satisfying both equations is (13.5,-46.5)

Answer:

Step-by-step explanation:

\(y = {(x + 7)}^{3} + 4 \\ \)

There are no real zero in the equation.