Why is the diameter the longest chord

Trey, Raina, and Deandre have $21,$31, and $93 in their wallets respectively.

From the question the sum of the money in their wallets is:

Raina  +  Trey +Deandre=$145

      R   +    T    +       D      =$145................(i)

Raina has $10 more than Trey= ($10 + T)

Deandre has 3 times more Raina =3($10 + T)

substituting the values of Raina and Deandre in Eqn (i) we have

R   +    T    +       D      =$145

($10 + T) +  T  +{3$(10 + T)}=$145

$10 +T   +T+  $30   + 3T    =$145

                     5T   +$40    =  $145

                                5T   =   $145   -  $40

                                 5T     =    $105

                                    T      = $105/5

                                     T     =   $21

i.e  Trey   =  $21

Raina has $10 more than Trey= ($10 + T)

i.e                                               = ($10 + $21)    

                                      Raina  =$31    

Deandre has 3 times more Raina =3($10 + T)

                                                        =3($10 + $21)

                                                        =$30   +$63

                                       Deandre  =$93

Therefore the total sum of money in thier wallet is:

        Raina  +  Trey +Deandre=$145

             $31  + $21   +  $93=    $145

Learn more about quantitative reasoning on

https://brainly.com/question/28715751

#SPJ1

The equation is f(x) = -0.4x + 60. The solution has been obtained by using slope - intercept form.

What is slope-intercept form?

The graph of the equation y = mx + b is a line with a slope of m and a y-intercept of b. The form of the linear equation is called the slope-intercept form, and the values of m and b are real integers.

We are given that f(-10) = 64 and f(15) = 54.

So, we get the points as (-10 , 64) and (15 , 54)

Using the slope intercept form, we get

Slope(m) = (54 - 64)/(15 + 10)

Slope(m) = -0.4

We know that y = mx + b

For calculating b. we will put in the values

⇒64 = -0.4(-10) + b

⇒64 = 4 + b

⇒b = 60

From this we get the equation as

f(x) = -0.4x + 60

Hence, the equation is f(x) = -0.4x + 60.

Learn more about slope-intercept form from the given link

https://brainly.com/question/1884491

#SPJ1

Answer:

slope=-1.5

Step-by-step explanation:

Answer:

4,900

Step-by-step explanation:

if it is 4 or less it stays the same

if it 5 or more add 1 more

Evaluating the function in the values of the domain we will get some coordinate pairs. The graph of these is in the image at the end.

Here we have the function:

3x - y = 1

And we want to graph this in the domain (-3, -1, 0, 4)

To do so, we need to evaluate the function (the values of x) in the values of the domain.

Solving the equation for y we get:

y = 3x - 1

Now, when x = -3

y = 3*-3 - 1 = -10

when x = -1

y = 3*-1 - 1 = -4

when x = 0

y = 3*0 - 1 = -1

When x = 4

y = 3*4 - 1 = 11

So we have the points (-3, -10), (-1, -4),  (0, -1), (4, 11)

The graph of these points is on the image below.

Learn more about evaluating functions at:

https://brainly.com/question/1719822

#SPJ1

\(\\ \sf\longmapsto c=1.29r\)

\(\\ \sf\longmapsto 1=1.29r\)

\(\\ \sf\longmapsto r=\dfrac{1}{1.29}\)

\(\\ \sf\longmapsto r=0.7\)

Cost of 1 roll

\(\\ \sf\longmapsto \dfrac{1}{0.7}\)

\(\\ \sf\longmapsto \dfrac{10}{7}\)

\(\\ \sf\longmapsto 1.4\$\)

Answer:

Inieterlov

Step-by-step explanation:

Si un electrón no consume, ni libera energía el átomo se encuentra enSi un electrón no consume, ni libera energía el átomo se encuentra en

Answer:

0.2

Step-by-step explanation:

Divide the numerator by the denominator

Answer:

Step-by-step explanation:

Let's call the number of hotdogs sold "x". According to the problem, the number of sodas sold is three times the number of hotdogs sold, or 3x.

We know that the total number of sodas and hotdogs sold is 136. So we can set up an equation:

x + 3x = 136

Simplifying this equation, we get:

4x = 136

Dividing both sides by 4, we get:

x = 34

This means that 34 hotdogs were sold. To find the number of sodas sold, we can multiply the number of hotdogs sold by 3:

3x = 3(34) = 102

So, 102 sodas were sold.

Answer:

yes

Step-by-step explanation:

The division 292,000 divide 100. results to 2920.

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

Given:

292,000 divide 100.

We know division with zero in the denominator is different and easy.

As, 292000 have three and 100 have two zeroes.

So, the two zero of hundred cancels out the two zeroes of  292000.

So, 292000/ 100

= 2920

Hence, the division results to 2920.

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ2

Answer: 29

Step-by-step explanation:

29 ÷ 8 = 3 remainder: 5

I solved using long division.

Answer:

29

Step-by-step explanation:

30

24

5

8x3=24

24+5= 29

Beacuase it had to be smaller than 30

Answer:

c).3

Step-by-step explanation:

let the number be x

5x-3=x+9

collect like terms

5x-x=9+3

4x= 12

divide both sides by 4

x=3

the number is 3

Solving the given logarithmic equation, it is found that the horn is 100 times more intense compared to the weakest sound heard to the human ear.

The equation is given by:

\(d = 10\log{\frac{p}{p_0}}\)

In which:

In this problem, we have that d = 20, and we have to solve the logarithmic equation for p to find how many times more intense the sound is:

\(d = 10\log{\frac{p}{p_0}}\)

\(20 = 10\log{\frac{p}{p_0}}\)

\(\log{\frac{p}{p_0}} = 2\)

The logarithm is inverse of the function \(10^x\), hence we apply the function to both sides to find the ratio.

\(\frac{p}{p_0} = 10^2\)

\(\frac{p}{p_0} = 100\)

Hence, the horn is 100 times more intense compared to the weakest sound heard to the human ear.

More can be learned about logarithmic equations at https://brainly.com/question/236421

#SPJ1

Answer: 1/2 PI actually ez not gonna lie

Step-by-step explanation: We know that pi times radius squared times 45/360 equals 1/2 pi. PI*radius^2*0.125 = 1/2PI. Solve algebra to get r^2 = 4 or radius = 2. We need the diameter to find circumference. D = 2*r or D = 4. D * PI * 45/360 = answer. We get 4 * PI * 0.125 = 1/2 PI

Answer:

Step-by-step explanation:

Each silver bead costs $0.50, and each green bead costs $1.

Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.

According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.

The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.

Using this information, we can set up the following system of equations:

25s + 15g = 27.50 (Equation 1)

10s + 5g = 10 (Equation 2)

We can solve this system of equations using any appropriate method, such as substitution or elimination.

Let's use the elimination method to solve the system:

Multiplying Equation 2 by 3, we get:

30s + 15g = 30 (Equation 3)

Subtracting Equation 3 from Equation 1:

25s + 15g - (30s + 15g) = 27.50 - 30

-5s = -2.50

s = 0.50

Now, substituting the value of s into Equation 2:

10(0.50) + 5g = 10

5 + 5g = 10

5g = 5

g = 1

for more such questions on costs

https://brainly.com/question/2292799

#SPJ8

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

The parametric equations for an object moving clockwise along the ellipse are x =  3 cos((2π/3) t) and y = 5 sin((2π/3) t)

Given: the equation of an ellipse x²/9 + y²/25 = 1

Beginning at (0,5) and requiring 3 seconds

The parametric equations representing an ellipse x²/a² + y²/b² = 1  are

x = a cos(t) and y = b sin(t)

where t is the parameter with values between [0, 2π]

If t represents time. Then, if a lap around the ellipse is completed in T seconds we have,

x = a cos((2π/T) t)

y = b sin((2π/T) t)

where 2π/T is the period of the motion.

Combining these results, therefore, we have the parametric equations:

x =  3 cos((2π/3) t)

y = 5 sin((2π/3) t)

Learn more about equation of ellipse on:

brainly.com/question/16904744

#SPJ1

If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

Learn more about Trigonometric Rules here :

https://brainly.com/question/30641505

#SPJ1

Answer:

C. 16√5

Step-by-step explanation:

Use the Pythagorean Theorem.

\(48^2 = 32^2 + x^2\\2304 = 1024 + x^2\\x^2 = 1280\\x = \sqrt{1280}\\\)

\(\sqrt{1280}\) is also equal to \(16\sqrt{5}\).

Using the median concept, it is found that it would remain the same, as only the tallest student is replaced, which does not influence the median.

The median of a data-set is the value that separates the bottom 50% from the upper 50% of values.

Hence:

You can learn more about the median concept at https://brainly.com/question/23923146

Answer:

The approximate population of bacteria in the culture after 10 hours is 93,738.  

Step-by-step explanation:

BPEMDAS Order of Operations:

We are given the following Exponential Growth Function (Doubling Time Model), \(\displaystyle\mathsf{P_{(t)}\:=\:P_0\cdot2^{(t/d)}}\) where:

Step 1: Identify the given values.

Step 2: Find value.

1. Substitute the values into the given exponential function.

  \(\displaystyle\mathsf{P_{(t)} = P_0\cdot2^{(t/d)}}\)

  \(\displaystyle\mathsf{\longrightarrow P_{(10)} = 9300\cdot2^{(10/3)}}\)

2. Evaluate using the BPEMDAS order of operations.

  \(\displaystyle\mathsf{P_{(10)} = 9300\cdot2^{(10/3)}\quad \Longrightarrow BPEMDAS:\:(Parenthesis\:\:and\:\:Division).}\)

  \(\displaystyle\sf P_{(10)} = 9300\cdot2^{(3.333333)}\quad\Longrightarrow BPEMDAS:\:(Exponent).}\)

  \(\displaystyle\sf P_{(10)} = 9300\cdot(10.079368399)\quad \Longrightarrow BPEMDAS:(Multiplication).}\)

 \(\boxed{\displaystyle\mathsf{P_{(10)} \approx 93,738.13\:\:\:or\:\:93,738}}\)

Hence, the population of bacteria in the culture after 10 hours is approximately 93,738.  

We can solve for the amount of time (t ) it takes for the population of bacteria to increase to 93,738.

1. Identify given:

2. Substitute the values into the given exponential function.

  \(\displaystyle\mathsf{P_{(t)} = P_0\cdot2^{(t/d)}}\)

  \(\displaystyle\mathsf{\longrightarrow 93,378 = 9,300\cdot2^{(t/3)}}\)

3. Divide both sides by 9,300:

  \(\displaystyle\mathsf{\longrightarrow \frac{93,378}{9,300} = \frac{9,300\cdot2^{(t/3)}}{9,300}}\)

  \(\displaystyle\mathsf{\longrightarrow 10.07936840 = 2^{(t/3)}}\)

4. Transform the right-hand side of the equation into logarithmic form.

  \(\boxed{\displaystyle\mathsf{\underbrace{ x = a^y}_{Exponential\:Form} \longrightarrow \underbrace{y = log_a x}_{Logarithmic\:Form}}}\)    

  \(\displaystyle\mathsf{\longrightarrow 10.07936840 = \bigg[\:\frac{t}{3}\:\bigg]log(2)}\)  

5. Take the log of both sides of the equation (without rounding off any digits).  

  \(\displaystyle\mathsf{log(10.07936840) = \bigg[\:\frac{t}{3}\:\bigg]log(2)}\)

  \(\displaystyle\mathsf{\longrightarrow 1.003433319 = \bigg[\:\frac{t}{3}\:\bigg]\cdot(0.301029996)}\)

6. Divide both sides by (0.301029996).

  \(\displaystyle\mathsf{\frac{1.003433319}{0.301029996} = \frac{\bigg[\:\frac{t}{3}\:\bigg]\cdot(0.301029996) }{0.301029996}}\)

  \(\displaystyle\mathsf{\longrightarrow 3.3333333 = \frac{t}{3}}\)

7. Multiply both sides of the equation by 3 to isolate "t."

  \(\displaystyle\mathsf{(3)\cdot(3.3333333) = \bigg[\:\frac{t}{3}\:\bigg]\cdot(3)}\)

  \(\boxed{\displaystyle\mathsf{t\approx10}}\)

Hence, it will take about 10 hours for the population of bacteria to increase to 93,378.    

__________________________________

Learn more about Exponential Functions on:

https://brainly.com/question/18522519            

The domain is:

D: {-4, 5, 6, 8}

The range is:

R: {-4, 3, 5}

And yes, the relation is a function.

For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).

Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}

The domain is the set of the first values of each pair, so we have:

D: {-4, 5, 6, 8}

The range is the set of the second values of each pair:

R: {-4, 3, 5}

Now, is this a function?

Yes, it is a function, because each input is mapped into only one output.

If you want to learn more about domain and range:

https://brainly.com/question/10197594

#SPJ1