Is Y=10x proportional

Answer and Step-by-step explanation:

We know that 5 can go into 100 twenty times, so lets try 20 and see what happens.

5 times 20 = 100

  103

-  100

      3

We get a remainder of 3. This means that 5 goes into 103 only Twenty times.

If we were to fully divide 103 by 5, then 5 goes into 103 '20.6' times.

#teamtrees #PAW (Plant And Water)

Answer:

x is approximately 48.2.

Step-by-step explanation:

Use the trig function of cosine, or adjacent over hypotenuse.

cos theta = adjacent / hypotenuse

Substitute variables.

cos x = 10 / 15

Apply inverse cosine to both sides.

x = cos^-1(10/15)

Evaluate.

x ≈ 48.2

Answer:

x ≈ 48.2°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{10}{15}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{10}{15}[/tex] ) ≈ 48.2° ( to the nearest tenth )

Answer:

1. The radius of a circle is  5 m

Option B

2. The area of circle is

Option A  

3. The area of a triangle is

Option C

4. To compute for the area of the shaded region we  

B. subtract both areas

5. What is the area of the shaded region?

Option A

Answer:

y > 5

Step-by-step explanation:

Solving an inequality is similar to solving an inequation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, then one must remember to flip the inequality sign.

-4y + 6 < -14

Inverse operations,

-4y + 6 < -14

      -6     -6

-4y < -20

/-4    /-4

y > 5

Answer:

96m

Step-by-step explanation:

Answer:

The correct answer is 48 m.

Step-by-step explanation:

To find our answer we will first multiply the base times height. 16 is the base and 6 is the height. Therefore, 16 x 6 = 96. Now we are going to multiply 1/2 or 0.5 by 96 and we get 48m.

I also had a quiz on this and I got it correct after I checked my work. Have a good one mate

Answer: 0

Step-by-step explanation:

Answer:

13 is your number

Step-by-step explanation:

23 = -29 x 4x

add 29 to both sides

52 = 4x

divide both sides by 4

13 = x

Answer:

13

Step-by-step explanation:

13 x 4 = 52 - 29 = 23

Answer:

B. -1

Step-by-step explanation:

Edge 2021

Answer:

5q + 9

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

A is linear

Step-by-step explanation:

check the delta y  (y2 - y1)  and or the delat x (x2 - x1)   and see if the differences are the same from each neighboring ordered pairs

answer A has a slope (m) of  (y2 - y1) / (x2 - x1) = 2/2 = 1

Answer:

wheres the y

Step-by-step explanation:

Answer:

Solution given:

2x+6+x+9=180°[alternative exterior angle is a supplementary]

3x=180-15

x=165/3

x=55

Answer:

okey???????????????????????? p and q is true got it.

Answer:

wat?

Step-by-step explanation:

Answer:

All of the above.

Step-by-step explanation:

They are all within the range.

The range of the function graphed below are,

⇒ 2, 3, 1

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of function is shown.

Now, By graph;

The range of the function graphed below are,

⇒ (0 , 3]

Hence, By options;

The range of the function graphed below are,

⇒ 2, 3, 1

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Answer:

28 acres

Step-by-step explanation:

If the workers can plant 14 acres in one day then they can double that in two days.

14 × 2 = 28

Have a beautiful day! :)

Answer:

A. 1.15

Step-by-step explanation:

I calculated it logically

Answer:

x= 4

m∠KJL= 22

M∠KJM= 44

Step-by-step explanation:

i dont think u need explanation

Answer:

Since the calculated value of  z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.

Step-by-step explanation:

The data given is

Population mean μ= $ 7.18

Population variance= σ²= 3.81

Population Standard Deviation = √σ²= √3.81= 1.952

Sample Mean= x`= $ 8.02

Sample Standard Deviation =s = $ 2.08

Sample Size = 15

Significance Level = ∝= 0.05

The null and alternate hypotheses are

H0: σ1=σ2 against the claim that Ha: σ1≠ σ2

where  σ1 is the population variance and

σ2 is the sample variance

The rejection region is Z ≥ ±1.96 for two tailed test  at ∝= 0.05

The test statistic z is used

z= x`-  μ/ σ/√n

Putting the values

Z= 8.02-7.18/1.952/√15

z= 0.84/0.51599

z= 1.6279

Since the calculated value of  z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.

Answer:

C= 64.5 square inches :)

Step-by-step explanation:

To find the area of a parallelogram you have to use this formula:

A= bh b=base  h=height

So, with your given information, you can input the known variables

A= (10.75)(6)

A= 64.5 [tex]in.^2[/tex]

I hope this helps :)

Answer:

2209

Step-by-step explanation:

The interquartile range is the 3rd quartile minus the 1st quartile. To find the quartiles, you need to find the median.

First, put the values in order.

17012, 18140, 17362, 16697, 14387 becomes

14387, 16697, 17012, 17362, 18140

The median is the value in the middle, so 17012. The first quartile is the median of the numbers to the left of the median. The numbers to the left are 14387 and 16697. Because there are an even amount of numbers, there's no middle. So the median of those values is the average (aka the sum divided by the number of values).

14387 + 16697 = 31084. Then divide that by 2 (the number of values) and you get 15542. So 15542 is the first quartile.

The 3rd quartile is the median of the values to the right. It is 17751 because 17362 and 18140 are the numbers to the right of the median. 17362 + 18140 = 35502 and 35502/2 = 17751.

The interquartile range is the 3rd quartile minus the 1st quartile

17751 - 15542 = 2209

Answer:

F. 4 ÷ 5

Step-by-step explanation:

Answer:

8835.73ft^3

Step-by-step explanation:

First:

Find area of the base circle.

Diameter is 15, so radius is 7.5

Area of the base circle is 56.25pi (use formula: A=pi(r)^2 ) (also ill convert pi into decimals only later)

next find the volume of the cylinder

height is 40 so volume = 56.25pi*40 = 2250pi

next find the volume of the dome at the top.

you know the radius is 7.5

Use volume of sphere formula below :

4 /3πr^3

=1767.15

alright now add the two bolded values

1767.15+2250pi

= 8835.73

hope this helps

Let the numbers be x and 4x. So, according to the question,

x + 4x = 100

=> 5x = 100

=> x = 100/5

=> x = 20

So, the number are,

x = 20

and

4x = 4×20 = 80

So, the two numbers are 20 and 80.

Answer:

D. $69,160

Step-by-step explanation:

40,820(10) - 33,904(10) = 408,200 - 339,040 = 69,160

Answer:

a. dQ/dt = -kQ

b. [tex]Q = 9e^{-kt}[/tex]

c. k = 0.178

d. Q = 1.063 mg

Step-by-step explanation:

a) Write a differential equation for the quantity Q of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed.

Let Q be the quantity of drug left in the body.

Since the rate of decrease of the quantity of drug -dQ/dt is directly proportional to the quantity of drug left, Q then

-dQ/dt ∝ Q

-dQ/dt = kQ

dQ/dt = -kQ

This is the required differential equation.

b) Solve your differential equation, assuming that at the patient has just absorbed the full 9 mg dose of the drug.

with t = 0, Q(0) = 9 mg

dQ/dt = -kQ

separating the variables, we have

dQ/Q = -kdt

Integrating we have

∫dQ/Q = ∫-kdt

㏑Q = -kt + c

[tex]Q = e^{-kt + c}\\Q = e^{-kt}e^{c}\\Q = Ae^{-kt} (A = e^{c})[/tex]

when t = 0, Q = 9

[tex]Q = Ae^{-kt} \\9 = Ae^{-k0}\\9 = Ae^{0}\\9 = A\\A = 9[/tex]

So, [tex]Q = 9e^{-kt}[/tex]

c) Use the half-life to find the constant of proportionality k.

At half-life, Q = 9/2 = 4.5 mg and t = 3.9 hours

So,

[tex]Q = 9e^{-kt}\\4.5 = 9e^{-kX3.9}\\\frac{4.5}{9} = e^{-kX3.9}\\\frac{1}{2} = e^{-3.9k}\\[/tex]

taking natural logarithm of both sides, we have

[tex]ln\frac{1}{2} = ln(e^{-3.9k})\\\\-ln2 = -3.9k\\k = -ln2/-3,9 \\k = -0.693/-3.9\\k = 0.178[/tex]

d) How much of the 9 mg dose is still in the body after 12 hours?

Since k = 0.178,

[tex]Q = 9e^{-0.178t}[/tex]

when t = 12 hours,

[tex]Q = 9e^{-0.178t}\\Q = 9e^{-0.178X12}\\Q = 9e^{-2.136}\\Q = 9 X 0.1181\\Q = 1.063 mg[/tex]

Recall that

Var[aX + bY] = a ² Var[X] + 2ab Cov[X, Y] + b ² Var[Y]

Then

Var[3X - 7Y] = 9 Var[X] - 42 Cov[X, Y] + 49 Var[Y]

Now, standard deviation = square root of variance, so

Var[3X - 7Y] = 9×6² - 42×2 + 49×8² =  3376

The general result is easy to prove: by definition,

Var[X] = E[(X - E[X])²] = E[X ²] - E[X]²

Cov[X, Y] = E[(X - E[X]) (Y - E[Y])] = E[XY] - E[X] E[Y]

Then

Var[aX + bY] = E[((aX + bY) - E[aX + bY])²]

… = E[(aX + bY)²] - E[aX + bY]²

… = E[a ² X ² + 2abXY + b ² Y ²] - (a E[X] + b E[Y])²

… = E[a ² X ² + 2abXY + b ² Y ²] - (a ² E[X]² + 2 ab E[X] E[Y] + b ² E[Y]²)

… = a ² E[X ²] + 2ab E[XY] + b ² E[Y ²] - a ² E[X]² - 2 ab E[X] E[Y] - b ² E[Y]²

… = a ² (E[X ²] - E[X]²) + 2ab (E[XY] - E[X] E[Y]) + b ² (E[Y ²] - E[Y]²)

… = a ² Var[X] + 2ab Cov[X, Y] + b ² Var[Y]

Answer:

1. 1/3 and 3

2. 4 and 4

Step-by-step explanation:

Step-by-step explanation:

Solution 1 :-

> Scale = 12/4 = 3 .

> x/ 9 = 4/12

> x = 1/3 × 9

> x = 3 in .

Solution 2 :-

> Scale = 8/2 = 4

> y / 1 = 8/2

> y = 4 ft .