Nolan is filling a small kiddie pool that is 18 inches deep. He notices that it takes two minutes to fill the pool with three inches of water. How many minutes will it take Nolan to fill the pool if it continues at the same rate

In the given problem, using Pythagorean theorem, if Ms. Smith wants to put a walkway along each diagonal, she will need a total of  40 feet of walkway.

To find the length of the walkway, we need to find the length of the diagonals of the garden. We can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the two sides of the rectangle are 16 feet and 12 feet. So, we can find the length of the two diagonals as follows:

Ms. Smith wants to put a walkway along each diagonal, so she will need a total of 20 + 20 = 40 feet of walkway.

Learn more about Pythagorean theorem here: https://brainly.com/question/343682

#SPJ1

Answer:

5/48

Step-by-step explanation:

So first multiply the numerators: 1 and 5. Multiplying 1 and 5 gets you 5.

Now multiply denominators: 8 and 6. That gets you 48.

So, after you multiply put it in a fraction and you get 5/48.

There is no need to simplify as it's already in its simplest form!

An event that will have a sample space of S = {g, b} include the following: C. Flipping a two-sided coin with one side green and the other side blue.

In Mathematics and statistics, a sample space can be defined as a set or collection of possible outcomes (results or outputs) that are obtainable from a random experiment. Mathematically, a sample space is represented or denoted by using the symbol, "S."

Additionally, a sample space may contain a number of outcomes (results or outputs) that depends on the experiment. Generally speaking, the subset of possible outcomes (results or outputs) of that are obtainable from an experiment is typically referred to as events.

In this context, we can reasonably infer and logically deduce that "Flipping a two-sided coin with one side green and the other side blue" is an event which would have a sample space that is modeled by this mathematical expression;

S = {g, b}

Read more on sample space here: https://brainly.com/question/29911847

#SPJ1

Answer: C: Flipping a two-sided coin with one side green and the other side blue.

Answer:

The two in the middle are the negatives and the two that are on the sides are positive.

Answer:

If two vectors are perpendicular, then their dot-product is equal to zero. The cross-product of two vectors is defined to be A×B = (a2_b3 - a3_b2, a3_b1 - a1_b3, a1_b2 - a2*b1). The cross product of two non-parallel vectors is a vector that is perpendicular to both of them.

Step-by-step explanation:

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

More can be learned about exponential expressions at https://brainly.com/question/25537936

#SPJ1

Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation

To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.

The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.

In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':

2a + c = 162.97

Rearrange the equation to isolate 'c':

c = 162.97 - 2a

Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.

For example, let's say we choose 'a' = 10:

c = 162.97 - 2(10)

c = 162.97 - 20

c = 142.97

So, when 'a' is 10, 'c' is approximately 142.97.

You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.

for more such question on corresponding visit

https://brainly.com/question/11853802

#SPJ8

Answer:

-118 at (-2, 6)

Step-by-step explanation:

See the attached image of the graph!  I used a piece of graph paper (and a ruler!) at first, because the graphing program I used was hard to follow in all the shading!  The "feasible region" -- I'm assuming this is a linear programming problem is inside an irregular hexagon.  I put big red dots on the corner points.  Those points are:

(2, 2), (-2, 6), (-6, 4), (-6, -1), (-2, -4), (2, -2)

Plug these coordinates into the expression P = 3x - 25y + 38  to get a value at each of the corner points.  Pick out the smallest value.

See the other attached image for those values.

Careful graphing is essential!

Answer:

\(m = -j\), or in this case, \(m=-(-7)\)

Step-by-step explanation:

Assuming that Justine's score is represented by \(j\) and Meagan's score is represented by \(m\), we know that \(j\) will always be the opposite of \(m\).

To represent opposite, we put a negative sign before the variable.

This makes the current number, even if it's negative, the opposite value.

Let's test it out.

Since Justine's score is -7, substituting it into the equation makes it  \(m=-(-7)\). We know that two negatives make a positive, so \(m=7\).

Now let's assume Justine's score is 7. Plugging it into the equation, we get \(m=-(7)\). That's the same thing as \(m = -1(7)\), and -1 times 7 is -7.

Hope this helped!

no i am in middle school tho sorry

Answer:

i probally will but then again not

Step-by-step explanation:

Answer:

The answer is 290,837

Answer:

(h+k)(2) = 5

(h-k)(3) = 9

3h(2) + 2k(3) = 17

Step-by-step explanation:

Answer:

(x+4)....................

Answer:

y = 5

Step-by-step explanation:

    \(x \ \alpha \ y\)

\(=> x = k \times y\\=> 35 = k \times 7\\=> k = 5\)

    \(x = k \times y\)

\(=>25 = 5 \times y\\ =>5 = y\)

Answer:

y = 5

Step-by-step explanation:

x = 35, y = 7

x = ?y

35 = ?7

? = 5

x = 25, y = ?

x = ?y

25 = 5y

y = 5

Answer:

its C

Step-by-step explanation:

ik

Answer:

D

Step-by-step explanation:

Since the total degrees of a circle is 360 and half of a circle is 180, 1/4 of a circle is 90 or less, D is the answer :)

Answer:

50.13

Step-by-step explanation:

We can easily find the area of our square, so to get that over with, 6*6=36. Now, for our circle, a full circle would be A=pi*r^2, but we only have half a circle. That means our equation will be A= 1/2(pi*r^2). We have our diameter, but we need our radius. Radius is just half the diameter, so 6/2=3. Now, we multiply. 3^3 is 9, and 9*3.14 is 28.26. All we have to do now is divide that by 2. If we do that, we get 14.13. The area of the semi-circle is 14.13. But we still have to add it to the area of the square, which will be our final step. 36+14.13=50.13, which is your area.

Hope this helps!

Answer:

∠FJH ≅ ∠BJA

Step-by-step explanation:

From the given image, we notice that the only congruent relation ∠FJH has is with ∠BJA.

Where ∠BJA is vertically opposite to ∠FJH

Hence, we can say that ∠FJH ≅ ∠BJA since both these angles are vertically opposite

Answer:

Step-by-step explanation:

-3≤ x = graph 6

-3 > x = graph 3

x≥ 3 = graph 2

x ≤ 3 = graph 4

3 > x = graph 1

x > 3 = graph 5

the closed circles means greater/less than or equal to

the open circle means greater/less than

the direction of the arrow tells you if the number is greater than x or less than x

Answer: $72

Step-by-step explanation:

x = money M had before he bought the hat

0.25x = 18

x = 18/.25 = 72

Answer:

1. 38 oz / 2 lbs 6 oz

2. 254 in / 7 yd 2 in

3. 21 pt / 3 gal 2 qt 1 pt

4. 18,480 ft / 3 mi 2,640 ft

5. 180 oz / 6 lbs 12 oz

6. 525 s / 8 min 45 s

7. 318 in / 8 yd 2 ft 10 in (9.99996 inches not simplified)

8. 9 pt / 4 qt 1 pt

9. 15,885 s / 4 hr 24 min 45 s

The first answers are the ones I got originally and the second answers are the simplified ones.

Answer:

To locate the number 8 and its opposite on the number line, we can use the given number line:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑ ↑

So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.

Now, let's address exercises 2-3:

a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

So, the opposites of the given numbers are:

9 → -9

-2 → 2

4 → -4

They are related to zero as equal distances on opposite sides of zero on the number line.

Step-by-step explanation:

Answer:

83 degrees

Step-by-step explanation:

See attachment below:

Answer:

The answer is 3.

Step-by-step explanation:

In oder to find the value of x you have to let f(x) = 29 :

\(f(x) = 9x + 2\)

Let f(x) = 29

\(9x + 2 = 29\)

Next, you have to solve x by substracting 2 and divide 9 to both sides :

\(9x + 2 = 29\)

\(9x + 2 - 2 = 29 - 2\)

\(9x = 27\)

\(9x \div 9 = 27 \div 9\)

\(x = 3\)

Answer:

Answer shown below.

Step-by-step explanation:

For 29;

It means f(x)= 9x + 2 =29

Therefore; 9x =29-2=27

9x = 27

X=27/9

x=3

Answer:

Kim is younger than 5 years. Kim could 1, 2, 3 or 4 years old.

Explanation:

Let Kim's age be z.

From the question, Josh's age can be as represented below;

We're also told that the sum of their ages is less than 31, we can express this as per below;

So let's go ahead and find Kim's age, z;

So Kim is younger than 5 years. Kim could 1, 2, 3 0r 4 years old.

Answer:

A. Only the mode makes sense since the data is nominal.

Step-by-step explanation:

Hello!

The objective of the study was to determine if deficiency of carbon dioxide in the soil affects the phenotype of peas.

The variable of study is X: Phenotype of a pea grown in soil with carbon dioxide deficiency.

Possible values of Phenotype codes:

1= smooth-yellow

2= smooth-green

3= wrinkled-yellow

4= wrinkled-green

The absolute frequencies for each phenotype are:

f(1)= 3

f(2)= 4

f(3)= 6

f(4)= 1

n= 14

a) Mean:

X[bar]= (∑xifi)/n= [(1*3)+(2*4)+(3*6)+(4*1)]/14= 33/14= 2.357= 2.36

The average value is always within range of definition of the variable but it does not necessarily correspond to an observation.

b) Median:

To determine the value that corresponds to the median you have to calculate its position:

For even samples the position is:

PosMe= n/2= 14/2= 7

Then you have to arrange the data from least to greatest, in this case, starting from the first category, you have to determine where the seventh observation is within the observed absolute frequencies. The phenotype that corresponds to the 7th observation is 2= smooth-green.

Me= 2= smooth-green.

c) Mode:

The mode corresponds to the most observed category/ value of the variable, i.e. the category with the most observations is 3= wrinkled-yellow

Md= 3= wrinkled-yellow

d) Midrange: (1 + 4)/2= 2.5

e)

As you can see the variable is qualitative and categorical. Even if all central tendency measurements can be calculated, truth is that the only one that shows any valuable information regarding the data set is the mode.

I hope this helps!

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

Hello your question is poorly written the complete question is attached below

answer :

a) H0 : p1 = p2

  Ha : p1 ≠ p2

b)  Z = -0.58

c) P-value =  0.561915

d) we will reject the Alternative hypothesis

Step-by-step explanation:

For sample 1 ;  n1 = 254 , x1 = 28

For sample 2 ; n2 = 301 , x2 = 38

level of significance ∝ = 0.01

P1 = X1 / n1 = 28 / 254  = 0.1102

P2 = X2 / n2 = 38 / 301 = 0.126

a) Determine the null and alternate hypothesis

H0 : p1 = p2

Ha : p1 ≠ p2

b) Determine Test statistic

we perform a Z-statistic to test the hypothesis

Z = \(\frac{p1-p1 }{\sqrt{( p(1-p)*(\frac{1}{n1}+\frac{1}{n2}) ) } }\)  -------- ( 1 )

p =  ( x1 + x2 ) / ( n1 + n2 )

= ( 28 + 38 ) / ( 254 + 301 ) = 0.1189

Where: p = 0.1189 , p1 = 0.1102 , p2 = 0.126 ( input values into equation 1 )

∴ Z = -0.58

c) Determine P-value

P-value =  0.561915 ( using excel function )

d) conclusion : since p-value > 0.01 ( level of significance ) we do not reject the null hypothesis.  therefore it proves that p1 = p2

Answer:

6

Step-by-step explanation:

-2 is 8 away from 6 on the number line. When you see how far away -2 is from all the other numbers, they are less than 8 away. Therefore, 6 is the answer.

I hope this helps!