The table shows a relationship between the number of pounds of apples and the total cost. Is the relationship proportional?

A No, because the total cost changes from one row to the next.
B No, because some possible numbers of pounds are not listed.
C Yes, because the cost is always three times the number of pounds.
D Yes, because each number of pounds is double the number before it in the table.

The constant of proportionality of the table is 15. The equation is y = 15x.

We need the Boxes of candy and the pieces of candy to know the slope or rate.

The table is a proportional table. Proportional relationships are relationships between two variables where their ratios are equivalent.  

A proportional relationship can be represented in the from as follows:

y = mx

where

x = boxes of candy

y = pieces of candy

Let's use one of the point on the table.

(10, 150)

Therefore,

y = mx

150 = 10m

divide both sides by 10

m = 150 / 10

m = 15

Therefore,

y = 15x

We need the boxes of candies and pieces of candy to know the rate.

learn more on constant of proportionality here: https://brainly.com/question/31206981

#SPJ1

Answer:

c=13

Step-by-step explanation:

a^2+b^2=c^2

25+144=169

The square root of 169 is 13.

Answer:

c= 13

Step-by-step explanation:

a^2+b^2= c^2 = 25+144= 169 root of 169 is 13

Yes , SAS (Side-Angle-Side) is a second Congruence postulate to prove triangle congruence by showing that two sides and their included angles are congruent.

Side-Angle-Side is the rule used to prove whether a given set of triangles are congruent. The SAS rule states: Triangles are congruent if two sides and an included angle of a triangle are equal to two sides and an included angle of another triangle. An included angle is the angle formed by two given sides.. For example : let's us consider two triangles ∆SQR and ∆TSR ,

In above given figure, sides

RS = RS ( common side)

QS = ST ( S divides QT in two equal parts) and angle between QS and SR equal to angle between SR and ST i.e. ∠QSR = ∠RST = 90° (right angle ) and it is included angle . So, by SAS Congruence rule, both of triangles are congruent. Hence, Δ ABC ≅ Δ PQR.

To learn more about SAS Congruence rule, refer:

https://brainly.com/question/26157404

#SPJ4

Answer:

95+B=180. ( linear pair)

95+105=180

180=180

hence proved

Answer:

x = 0, y = 0

or

(0, 0)

Step-by-step explanation:

-24x - 36y = 0

divide the equation by 4

-8x - 9y = 0

-6x - 9y = 0

multiply the second equation by -1

6x + 9y = 0

add them together

-8x - 9y = 0

6x + 9y = 0

-2x = 0

x = 0

substitute into the second equation

-8 * 0 - 9y = 0

-9y = 0

y = 0

f(t) = 10*e^(-kt), where k is a constant of proportionality.

To solve for k, we can use the fact that the rate of change of f(t) is proportional to f(t).

In other words, we have:

f'(t) = -k*f(t)

Using the initial condition that 10 units were injected and 4 remained after 35 minutes, we can plug in t=0 and t=35: f(0) = 10 f(35) = 4

To solve for k, we can divide these two equations: f(35)/f(0) = e^(-35k) = 0.4

Taking the natural log of both sides, we get: -35k = ln(0.4) k = -ln(0.4)/35

Plugging this value of k back into the original equation for f(t), we get:

f(t) = 10*e^(-t*ln(0.4)/35)

Learn more about constant of proportionality,

https://brainly.com/question/27598477

#SPJ11

Car A can travel 5 kilometers more than Car B in 1 hour. To find out how many more kilometers Car A can travel than Car B in 1 hour, we need to calculate the difference in their speeds.

Car A traveled 280 kilometers in 4 hours, which means its average speed is 280 km / 4 hours = 70 km/h.

Car B traveled 260 kilometers in 4 hours, so its average speed is 260 km / 4 hours = 65 km/h.

The difference in their speeds is 70 km/h - 65 km/h = 5 km/h.

Since speed is a measure of distance traveled in a given time, the difference in speeds indicates the difference in distance traveled per hour. Therefore, Car A can travel 5 kilometers more than Car B in 1 hour.

Learn more about calculating speed here: brainly.com/question/17242944

#SPJ11

Answer:

1

Step-by-step explanation:

count number in sequence

See my explanation in the pic

The square cement walkway has a size of 120 feet2 and the expression is (x + 4)2 - (x - 2)2.

Area of square:

The area of a square refers to the space that it occupies.

The formula to calculate the area of square is,

Area = s²,

Where, 's' refers the side of the square.

Given,

A square swimming pool is covered by a cement walkway with a uniform width.

Length of swimming pool = (x - 2) feet.

Length of square walkway including the swimming pool = (x + 4) feet

In this case, we need to determine the cement walkway's size and its value when x is equal to 9.

1) Here, we need to develop an expression for the total square area minus the pool area.

Here, the equation for the area of a square is , where

A = area of square and

s = side value of the square.

The side of the complete square, including the pool and promenade, is given as s = (x+4)ft.

Applying the side value to the square's area formula yields the following result:

A = s²

A = (x + 4)² --------------(1)

Additionally, we are informed that the swimming pool's side length is s = (x-2)ft.

To get the expression for the pool's area, plug that into the equation for a square's area:

A = s²

A = (x - 2)² --------------(2)

To find the expression for the area of the walkway, first subtract the area of the pool (x - 2)2 from the total square's size (x + 4)2.

Expression for the area of the walkway:

=> (x + 4)² - (x - 2)²

2) You can get the solution to your expression for the walkway's area since you are aware that x = 9 feet. Connect x to your expression:

=> (9 + 4)² - (9 - 2)²

=> (13)² - (7)²

=> 169 - 49

=> 120

The area of your walkway is 120ft².

Learn more about area of walkway here;

https://brainly.com/question/28845237

#SPJ4

It will take approximately 18 weeks for the virus to infect 800,000 people, based on a growth rate of 12% per week. This calculation assumes a continuous and consistent rate of infection.

To determine how long it will take for the virus to infect 800,000 people, we can use exponential growth based on the given rate of 12% per week.

Let's calculate the number of infected people after each week:

Week 1: 100,000 + (12% of 100,000) = 100,000 + 12,000 = 112,000

Week 2: 112,000 + (12% of 112,000) = 112,000 + 13,440 = 125,440

Week 3: 125,440 + (12% of 125,440) = 125,440 + 15,053.8 ≈ 140,494

Week 4: 140,494 + (12% of 140,494) = 140,494 + 16,859.28 ≈ 157,353

We can observe that the number of infected people increases each week by approximately 12%.

Now let's continue calculating the number of infected people until we reach or surpass 800,000:

Week 5: 157,353 + (12% of 157,353) ≈ 176,125

Week 6: 176,125 + (12% of 176,125) ≈ 197,375

Week 7: 197,375 + (12% of 197,375) ≈ 221,225

Week 8: 221,225 + (12% of 221,225) ≈ 247,861

Week 9: 247,861 + (12% of 247,861) ≈ 277,960

Week 10: 277,960 + (12% of 277,960) ≈ 312,011

Week 11: 312,011 + (12% of 312,011) ≈ 350,131

Week 12: 350,131 + (12% of 350,131) ≈ 392,157

As we can see, by the end of Week 12, the number of infected people is approximately 392,157. Therefore, it will take more than 12 weeks for the virus to infect 800,000 people.

To determine the exact number of weeks, we need to continue the calculations until we reach or surpass 800,000:

Week 13: 392,157 + (12% of 392,157) ≈ 439,579

Week 14: 439,579 + (12% of 439,579) ≈ 492,205

Week 15: 492,205 + (12% of 492,205) ≈ 550,394

Week 16: 550,394 + (12% of 550,394) ≈ 614,915

Week 17: 614,915 + (12% of 614,915) ≈ 686,982

Week 18: 686,982 + (12% of 686,982) ≈ 767,180

Therefore, it will take approximately 18 weeks for the virus to infect 800,000 people.

To know more about exponential growth refer here:

https://brainly.com/question/1596693#

#SPJ11

Using permutations we know that we can choose a president, vice president, and secretary out of 12 people in a total of 1320 ways.

So, there is a total of 12 members.

Ways in which a president, vice president, and secretary can be selected are:

nPr=n!/(n-r)!

Now, calculate further as follows:
nPr=n!/(n-r)!

12P3=12×11×10×9!/9!=12×11×10

1320 ways

Therefore, using permutations we know that we can choose a president, vice president, and secretary out of 12 people in a total of 1320 ways.

Know more about permutations here:

https://brainly.com/question/12468032

#SPJ4

Factor trees are a means to represent a number's factors, more precisely, a number's prime factorization. The tree's branches are divided up into components. When the branch's final factor is a prime number, the branch comes to an end and we circle the number because there are now only two factors left: itself and one.

The factor tree for 46 is:

  46

 /    \

2     23

To create a factor tree for 46, we will first identify two factors of 46 that are as close to each other as possible.

One such pair of factors is 2 and 23.

So we write 46 as:

  46

 /    \

2     23

Since 23 is a prime number, we cannot break it down any further.

Therefore, the factor tree for 46 is:

  46

 /    \

2     23

For more questions on Factor trees

https://brainly.com/question/29705253

#SPJ4

Here's a factor tree for the number 46 is as follows:

          46

       /      \

      2       23

              |

              23

To start, factor tree, we divide 46 by the smallest prime number, which is 2. This gives us 23 as a factor. Since 23 is a prime number, we cannot divide it any further, so we stop and write down the prime factors of 46, which are 2 and 23.

Therefore, the prime factorization of 46 is 2 × 23.

Note that the product of the prime factors in the tree (2 and 23) gives the original number (46).

Factor trees are useful for determining a number's prime factorization, which can be useful in a variety of mathematical applications. The prime factorization of a number, for example, can be used to simplify fractions, find common factors, and solve problems involving factors and multiples.

For more question on factor tree click on

https://brainly.com/question/7648526

#SPJ4

Answer:

There is a difference of 51 degrees

Step-by-step explanation:

-13 to zero is 13 degrees

zero to 38 degrees is 38 degrees

13 + 38 is an increase of 51 degrees

Answer:

3 miles

Step-by-step explanation:

Since the x coordinates are the same, we only need to find the distance between the y coordinates

-3 - -6

-3 +6

3 units

Each unit is 1 mile

3 units * 1 miles / 1 unit =  3 miles

Answer:

x=13

Step-by-step explanation:

Let x be the number of pepperoni pizzas you must order and y be the number of cheese pizzas.

Then, we have the following system:

I) x + y = 34

II) 4x + 3y = 120

First, we multiply equation I by 3:

I) 3x + 3y = 102

II) 4x + 3y = 120

Now, we subtract equation I from equation II:

(4x - 3x) + (3y - 3y) = 120 - 102

x = 18

Then, y = 34 - 18 = 16

You must order 18 persona-size pepperoni pizzas and 16 personal-size cheese pizzas.

Answer:

4√2 or 5.66

Step-by-step explanation:

x² + x² = 8²

=> 2x² = 64

=> x² = 32

=> x = √32 = 4√2 or 5.66

Answer:

Minimum value = 2

Maximum value = 26

Lower quartile = 4

Median = 14

Upper quartile = 20.5

Step-by-step explanation:

Five number summary:

Assuming the stem is the tens column and the leaves are units, the data values are:

2, 2, 3, 5, 7, 13, 15, 16, 20, 21, 24, 26

Minimum value = 2

Maximum value = 26

Median - middle value

As there is an even number of data values, the median is the mean of the 6th and 7th data values.

Median = (13 + 15) ÷ 2 = 14

Lower quartile

As there is an even number of data values, the lower quartile is the mean of the 3rd and 4th data values.

Lower quartile = (3 + 5) ÷ 2 = 4

Upper quartile

As there is an even number of data values, the upper quartile is the mean of the 20th and 21st data values.

Lower quartile = (20 + 21) ÷ 2 = 20.5

A) The probability that you make a second free throw given that you made the first free throw

The estimated cost of the new 3000-ft2 heat exchange system for the plant retrofit can be calculated using the power-sizing exponent and the price index. Based on the given information, the rough estimate for the cost of the new heat exchanger system is approximately $108,984.

To estimate the cost of the new heat exchange system, we need to consider the price index and the power-sizing exponent. The price index provides a measure of the change in prices over time. In this case, the price index 7 years ago was 1360, and the current price index is 1478.

To calculate the cost estimate, we can use the following formula:

Cost estimate = (Cost of previous heat exchanger) × (Current price index / Previous price index) × (New size / Previous size) ^ power-sizing exponent

Using the given information, the cost of the previous heat exchanger was $75,000, the previous size was 1200 ft2, and the new size is 3000 ft2.

Plugging in these values into the formula, we get:

Cost estimate = ($75,000) × (1478 / 1360) × (3000 / 1200) ^ 0.55

Simplifying the calculation, we find:

Cost estimate ≈ $108,984

Therefore, a rough estimate for the cost of the new 3000-ft2 heat exchanger system for the plant retrofit is approximately $108,984. It's important to note that this is just an estimate and the actual cost may vary based on specific factors and market conditions.

Learn more about exponent here:

https://brainly.com/question/5497425

#SPJ11

1) This is a question in which we need to evaluate x when x=6.

2) So, we can plug x=6 into that rational equation to figure out the value:

So, that is the answer

The probability that the mean systolic blood pressure of 23 women is between 119 and 122 mm Hg is 0.0579.

The Central Limit Theorem states that the distribution of the mean of a large sample (n>30) taken from a population with a finite mean and standard deviation will be approximately normal.

Since we are given that systolic blood pressures are normally distributed and we have n = 23>30, we can assume that the mean systolic blood pressure of 23 women will be approximately normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1/\(\sqrt{23}\) = 2.731 mm Hg.

To find the probability that the mean systolic blood pressure of 23 women is between 119 and 122 mm Hg, we can standardize the problem and use the standard normal distribution table.

We can standardize the problem by finding the number of standard deviations away from the mean of the lower and upper bounds of the range.

z_lower = (119 - 114.8) / 2.731) = 1.537

z_upper = (122 - 114.8) / 2.731) = 2.636

Now we can use the standard normal distribution table to find the probability that a standard normal variable is between z_lower and z_upper.

P(z_lower < Z < z_upper) = P(Z ≤ 2.636) - P(Z < 1.537) = 0.9958 - 0.9379 = 0.0579

Therefore, the probability that the mean systolic blood pressure of 23 women is between 119 and 122 mm Hg is 0.0579.

Read more about Standard deviation:

brainly.com/question/24298037

#SPJ4

The complete question is -

For women aged​ 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. If 23 women aged​ 18-24 are randomly​ selected, find the probability that their mean systolic blood pressure is between 119 and 122 mm Hg. Round to four decimal places.

Answer:

Step-by-step explanation:

To prove that the sequence of nonempty closed subsets z1 ⊇ z2 ⊇ z3 ⊇ ... in a compact space x is compact, we need to show that any open cover of this sequence has a finite subcover. Here is the step-by-step explanation of the proof:

1. Let {Uα} be an open cover of the sequence z1 ⊇ z2 ⊇ z3 ⊇ ... in the compact space x.
2. Since z1 is a closed subset of x, its complement, x - z1, is open.
3. Since {Uα} is an open cover of the sequence, there must exist an α1 such that z1 ⊆ Uα1.
4. Now, consider the set z2. It is a closed subset of x, so its complement, x - z2, is open.
5. Since {Uα} is an open cover of the sequence, there must exist an α2 such that z2 ⊆ Uα2.
6. By continuing this process, we can find α3, α4, and so on, such that z3 ⊆ Uα3, z4 ⊆ Uα4, and so on.
7. Since the sequence z1 ⊇ z2 ⊇ z3 ⊇ ... is decreasing, we have z1 ⊇ z2 ⊇ z3 ⊇ ... ⊇ zN for any positive integer N.
8. Now, consider the subcover {Uα1, Uα2, ..., UαN} of the sequence z1 ⊇ z2 ⊇ z3 ⊇ ... ⊇ zN.
9. Since {Uα} is an open cover of the sequence, each zN is covered by at least one Uα.
10. Therefore, the subcover {Uα1, Uα2, ..., UαN} is a finite subcover of the sequence z1 ⊇ z2 ⊇ z3 ⊇ ... ⊇ zN.
11. Thus, we have shown that any open cover of the sequence z1 ⊇ z2 ⊇ z3 ⊇ ... has a finite subcover.
12. Therefore, the sequence of nonempty closed subsets z1 ⊇ z2 ⊇ z3 ⊇ ... in the compact space x is compact.
In summary, the proof demonstrates that in a compact space x, any sequence of nonempty closed subsets z1 ⊇ z2 ⊇ z3 ⊇ ... is also compact.

subsets : https://brainly.com/question/13458417

#SPJ11

Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

Probit coefficients are typically estimated using:

A. the method of maximum likelihood.

The method of maximum likelihood is used to estimate the probit coefficients. This method aims to find the coefficients that maximize the likelihood of observing the given sample data. It involves an iterative process to identify the most likely parameter values for the model, making it suitable for nonlinear models like the probit model. Maximum likelihood estimation is a widely used method in econometric analysis due to its desirable properties, such as consistency and asymptotic efficiency.

In summary, probit coefficients are estimated using the method of maximum likelihood, which provides the most accurate and efficient estimates for this type of model.

Learn more about maximum likelihood here: brainly.com/question/30625970

#SPJ11

Answer:

the question is blurry and it has a glare