$12 for 15 milliliters $8 for 10 milliliters

The factored form of the equation is 1/2(y - √5)

To factor this expression, we need to look for any common factors that can be pulled out of both terms. We can see that both terms contain a factor of 1/2, so we can factor that out:

1/2(y - 5 1/2)

Now we need to see if there are any further factors that we can find. The term inside the parentheses, y - 5 1/2, cannot be factored any further using real numbers. However, we can write the expression as y - √5, which shows that it involves the square root of 5.

So the final factored form of the expression is:

1/2(y - √5)

This means that if we multiply 1/2 by (y - √5), we get back the original expression 1/2y - 5 1/2.

To know more about equation here

https://brainly.com/question/21835898

#SPJ1

The values are (4) The value of rise in temperature is 10 °C, (5) The new temperature is -10 °C (6) halfway between the two numbers in each pair is -2, 3, 1, -4; (7) The other temperature is 1°C.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold math Z.

Given that,

Tom’s greenhouse temperature is increasing

(4) The temperature is increased from -5 °C to 5 °C

The temperature is raised by 10 °C

(5) The temperature this morning was -6 °C. This afternoon, the

temperature dropped by 4 degrees

The new temperature is -10 °C

(6) The integer that

is halfway between the two numbers in each pair below.

a. 1 and -5 is -2

b. 5 and 1 is 3

c. -3 and 5 is 1

d. -3 and -5 is -4

(7) The difference between two temperatures is 3 degrees.

One temperature is 2°C.

The other temperature is 1°C.

To know more about integers, visit:

https://brainly.com/question/15276410

#SPJ9

Answer:

263 · v = 215 ÷ r

Step-by-step explanation:

I hope this helps!

Answer:

PX : XQ = 2 : 5

Step-by-step explanation:

Since RX is perpendicular to PQ , then

Δ RPX and Δ RQX are right triangle

Calculate PX and XQ using Pythagoras' identity in the right triangles

PX² = 20² - 16² = 400 - 256 = 144 ( take square root of both sides )

PX = \(\sqrt{144}\) = 12

Similarly

XQ² = 34² - 16² = 1156 - 256 = 900 ( take square root of both sides )

XQ = \(\sqrt{900}\) = 30

Then

PX : XQ = 12 : 30 = 2 : 5 ( in simplest form )

Answer:28

Step-by-step explanation:

Answer:

Step-by-step explanation:

fraction

The confidence interval for the proportion of adults who identify chocolate pie as their favorite pie can be calculated using the following formula:
Confidence Interval = Sample Proportion ± Margin of Error

First, we need to calculate the sample proportion. In this case, the sample proportion is equal to the percentage of respondents who chose chocolate pie, which is 48%.

Sample Proportion = 48% = 0.48

Next, we need to calculate the margin of error. The margin of error depends on the confidence level and the sample size. In this case, the confidence level is 90%, which corresponds to a z-score of 1.645 (obtained from a z-table). The sample size is 22.

Margin of Error = z * sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)
                = 1.645 * sqrt((0.48 * (1 - 0.48)) / 22)
                = 0.229

Now we can calculate the confidence interval.
Confidence Interval = Sample Proportion ± Margin of Error
                          = 0.48 ± 0.229
                          = (0.251, 0.709)

The confidence interval for the proportion of adults who identify chocolate pie as their favorite pie is (0.251, 0.709) at a 90% confidence level.

Learn more about confidence interval: https://brainly.com/question/15712887

#SPJ11

Answer:

48

Step-by-step explanation:

66*2=132

180-132=48

The t-shirts she sell is 24.

What is profit and selling price?

Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.

The selling price is the price that the buyer pays to buy a product or goods. This is a price above cost and includes a profit ratio.

According to Question, Christine sold the t- shirts at $4 each and she earned a profit of $71 and his total expenses were $25

Let the total number of t- shirts sold by Christine be "x"

Profit = Selling price – Expenses

Selling price is given as:

selling price = total number to t-shirt sold ×price of each t shirt

selling price = n ×4

71 = (n×4) -24

71 + 25  = n×4

96/4 = n

n = 24

To know more about profit and selling price, visit:

https://brainly.com/question/13797142

#SPJ9

Answer:

5/4

Explanation:

coordinates given (0,0) and (8,10)

How to find unit rate?

use this formula:

(y2-y1)/(x2-x1)

using the formula:

→(10-0)/(8-0)

→ 10/8

→ 5/4

→ 1.25

Answer:

5/4 cm/s

Step-by-step explanation:

The gradient (slope) of the line is equal to the speed of the object.

Gradient = change in y ÷ change in x

Using the two given points (0, 0) and (8, 10):

⇒ speed = (10 - 0) ÷ (8 - 0) = 5/4 cm/s

Answer:no it is not effective n it has 50%alcohol

Step-by-step explanation:

The soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.

To find the maximum profit per day for the soft drink vendor, we need to use the formula P(x) = 0.001x^2 + 3x + 1800, where x is the number of cans of soda pop sold in one day.

To find the maximum profit, we need to find the vertex of the parabola represented by the profit function. The x-coordinate of the vertex is given by -b/2a, where a = 0.001 and b = 3. Plugging in these values, we get x = -3/(2*0.001) = -1500.

Since the soft drink vendor cannot sell a negative number of cans, we know that the maximum profit occurs at the closest whole number to x = -1500, which is x = 1500.

To find the maximum profit per day, we can plug in x = 1500 into the profit function:

P(1500) = 0.001(1500)^2 + 3(1500) + 1800 = $5250

Therefore, the soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.

To find the maximum profit per day and the number of cans needed to reach that profit, we'll first need to find the critical point of the given quadratic profit function, P(x) = -0.001x^2 + 3x - 1800.

Step 1: Find the derivative of P(x) with respect to x. This will give us the rate of change of profit as the number of cans sold changes.

P'(x) = -0.002x + 3

Step 2: Set the derivative equal to zero and solve for x. This will give us the critical point where the maximum profit occurs.

-0.002x + 3 = 0

x = 1500 cans

Step 3: Substitute the critical point (x = 1500) back into the profit function P(x) to find the maximum profit.

P(1500) = -0.001(1500)^2 + 3(1500) - 1800

P(1500) = $600

So, the maximum profit per day is $600, and the soft drink vendor must sell 1500 cans to reach the maximum profit.

Learn more about profit at: brainly.com/question/15699405

#SPJ11

The maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.

The profit function for the soft drink vendor is given by:

P(x) = \(0.001x^2 + 3x + 1800\)

To find the maximum profit, we need to find the vertex of the parabola represented by this function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

where a = 0.001 and b = 3. Substituting these values, we get:

x = -3 / (2 * 0.001) = -1500

Since the value of x cannot be negative in this context, we know that the maximum profit occurs at x = 1500. To find the maximum profit, we substitute this value of x into the profit function:

P(1500) =\(0.001(1500)^2 + 3(1500) + 1800 = $4800\)

Therefore, the maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.

Learn more about maximum profit

https://brainly.com/question/29248429

#SPJ4

Answer:

Step-by-step explanation:

1.

The supplementary angles to ∠x are adding to 180° and are ∠HGC and ∠BGA

2.

If ∠DGE = 90° , then  

∠CGD is also 90° because ∠DGE and ∠CGD are a linear pair and

∠HGC is also 90° because ∠DGE and ∠HGC are vertical angles

Answer:

Step-by-step explanation:

After calculation, the average salary is 865.8644 thousands of dollars and average tenure is 7.955 years. Number of CEOs who are in their first year as CEO is equal to 5.

Here are the steps in R Studio to perform the tasks:

(a) Finding the average salary and the average tenure in the sample:

Load the CEOSAL2 data set in R Studio using the read.csv function.

       ceos <- read.csv("CEOSAL2.csv")

Calculate the average salary using the mean function:

       average_salary <- mean(ceos$salary)

Calculate the average tenure using the mean function:

average_tenure <- mean(ceos$ceoten)

(b) Finding the number of CEOs in their first year as CEO and the longest tenure as CEO:

Use the sum function and a logical test to count the number of CEOs in their first year as CEO:

first_year_ceos <- sum(ceos$ceoten == 0)

Use the max function to find the longest tenure as CEO:

longest_tenure <- max(ceos$ceoten)

Read more about Average Calculations:

https://brainly.com/question/14371457

#SPJ4

Answer:

2x + 10

Step-by-step explanation:

To expand (using the distributive property) multiply the number outside the bracket i.e. in this case '2', with the values inside the brackets.

So multiply '2' and 'x' and '2' and 5' and add or subtract on basis of whether the second value is positive or negative.

So

2(x + 5)

= (2*x)+(2*5)

=2x+10

extention note: be careful when the symbol within the equation within the brackets is a subtraction because it implies that the second value would instead be a negative number and should be treated as such.

an example

2(x-5)

= (2*x)+(2*-5)

=2x -10

Anyhow, I hope this helped!

The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

To learn more on logarithms: https://brainly.com/question/30226560

#SPJ1

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

The 10 expressions in Math are:

Math is a subject that can be intimidating to many, but it is a fundamental part of life that is necessary to understand. It is important to have a basic grasp of different expressions in order to be successful in math. This essay will explore the ten expressions of math and provide insight into their importance.

The first expression is the sum. This is the answer you get when adding two or more numbers together. For example, if you have the numbers 5, 7, and 8, the sum would be 20. Sums can also be used to find the total amount of a group of objects.

The second expression is the difference. This is the answer you get when subtracting two or more numbers. For example, if you have the numbers 8 and 5, the difference would be 3. Differences can also be used to find the difference between two amounts.

Learn more about math expressions:

https://brainly.com/question/4541471

#SPJ4

A) 1 cm = 3.5 km

The trail is 8cm long on the map, multiply 8 by 3.5:

8 x 3.5 = 28 km total

B. The first map is 8cm, the second map is 5 cm

The scale factor to change from the 1st map to the 2nd map would be 5/8

Multiply the dimensions on the 1st map by 5/8.

3 cm x 5/8 = 1 7/8 cm

4 cm x 5/8 = 2 1/2 cm

6 cm x 5/8 = 3 3/4 cm

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. It can tell us a lot about the graph of the polynomial, it can mainly tell us whether the graph is in a downward direction or upward direction.

If the leading coefficient is positive, then the graph will start at the origin and will extend upwards, with the degree of the polynomial determining how steep the graph is. If the leading coefficient is negative, then the graph will start at the origin and extend downwards.

If the leading coefficient is 0, then the graph will be a horizontal line. The leading coefficient can also tell us about the end behavior of the graph. If the degree of the polynomial is even, then the end behavior will be a horizontal line. If the degree of the polynomial is odd, then the end behavior will be a vertical line. Knowing the leading coefficient of a polynomial gives us a basic idea of what the graph of the polynomial will look like.

Learn more about leading coefficient:

https://brainly.com/question/24881460

#SPJ4

Answer:

27.5

This is because you plug the numbers into the equation. Hope this helps!

Use an additive or reduction formula to determine an expression as a fractional derivative of one number, which is provided as -1/2.

The three basic trigonometric operations are sine, cosine, and tangent. Cotangent, radial basis, and cotangent functions are all built on these three fundamental functions. All trigonometry concepts are built on top of these functions. The learning of trigonometry is not really easy until pupils are familiarized with all the terms and formulae. As a result, it is suggested that students learn each of these and practice responding to test questions from prior years.

Given expression is:

\($$\cos \left(\frac{13 \pi}{15}\right) \cos \left(\frac{-\pi}{5}\right)-\sin \left(\frac{13 \pi}{15}\right) \cdot \sin \left(\frac{-\pi}{5}\right)$$\)

We have cos A cos B - sin A sin B = cos (A + B)

Here,

A = 13π/15, B = -π/5

\($$\begin{aligned}& =\cos \left(\frac{13 \pi}{15}+\left(\frac{-\pi}{5}\right)\right) \\& =\cos \left(\frac{13 \pi}{15}-\frac{\pi}{5}\right) \\& =\cos \left(\frac{13 \pi-3 \pi}{15}\right)\end{aligned}$$\)

\($$\begin{aligned}& =\cos \left(\frac{10 \pi}{15}\right) \\& =\cos \left(\frac{2 \pi}{3}\right)\end{aligned}$$\)

= cos 120°

cos (90° + 30°)

-sin 30°

= -1/2

\($$\therefore \quad \cos \left(\frac{13 \pi}{15}\right) \cos \left(\frac{-\pi}{5}\right)-\sin \left(\frac{13 \pi}{15}\right) \sin \left(\frac{-\pi}{5}\right)=\frac{-1}{2}$$\)

To know more about Trigonometric visit:

https://brainly.com/question/29156330

#SPJ4

Another name for a dependent samples t-test is a paired samples t-test. It is a statistical test used to determine if there is a significant difference between two related variables from the same sample.

A dependent samples t-test is a statistical test used to compare the means of two related variables from the same sample. It is used when the two variables being compared are dependent on each other, such as pre- and post-test scores for the same group of individuals or the same group of subjects being measured under different conditions.

The term "paired samples" refers to the fact that each observation in one sample is matched with a corresponding observation in the other sample, creating a pair. The dependent samples t-test is used to determine if the mean difference between the two variables is statistically significant, indicating that there is a significant change between the two related variables.

In conclusion, a dependent samples t-test is also known as a paired samples t-test, which is used to determine if there is a significant difference between two related variables from the same sample. The term "paired samples" refers to the matching of each observation in one sample with a corresponding observation in the other sample, creating a pair.

To learn more about t-test click here, brainly.com/question/1189751

#SPJ11

The measure is 90°.

Since it intercepts half of the circle.

The probability of an earthquake in that magnitude range occurring in next 30 years is 3%.

The probability that the event will not occur for an exposure time of x years is:

\((1-\frac{1}{MRI} )^{x}\)

where, MRI = Mean Recurrence Interval = 1000

                x = Years = 30

Therefore, Probability of not occurring = \((1-\frac{1}{1000} )^{30}\)

                                                                 = \((\frac{999}{1000} )^{30}\)

                                                                 = \((0.999)^{30}\)

                                                                 = 0.97

Probability of occurring = 1 - 0.97

                                       = 0.3

Probability percent = 0.03 * 100

                                = 3 %

Hence, probability is 3%.

To learn more about probability here:

https://brainly.com/question/11234923

#SPJ4                                

the height of the triangle formed by the diagonal and base of the TV screen.

The height of the TV is approximately 15.6 inches.

(26 inches / √2) = 18.8 inches

(18.8 inches * √2) = 26 inches

Height = (26 inches / 18.8 inches) * 18.8 inches

Height = 15.6 inches

Step 1: Calculate the hypotenuse of the triangle formed by the diagonal and base of the TV screen.

Hypotenuse = diagonal / √2

Hypotenuse = 26 inches / √2

Hypotenuse = 18.8 inches

Step 2: Calculate the diagonal of the triangle formed by the hypotenuse and base of the TV screen.

Diagonal = hypotenuse * √2

Diagonal = 18.8 inches * √2

Diagonal = 26 inches

Step 3: Calculate the height of the triangle formed by the diagonal and base of the TV screen.

Height = diagonal / base

Height = 26 inches / 18.8 inches

Height = 15.6 inches

Learn more about height here

https://brainly.com/question/10726356

#SPJ4

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\( {x}^{7} {y}^{7} = ({x \times y})^{7} = ({xy})^{7} \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer: ❤️❤️(x*y) 7

=(xy) 7

To answer this problem, we need to find the number of bracelets Sal can make with 5 feet of yarn given that he uses 6 inches of yarn per bracelet.

Here's how we can solve the problem: There are 12 inches in 1 foot. So, 5 feet is equal to 5 × 12 = 60 inches. Sal uses 6 inches of yarn per bracelet.  the number of bracelets he can make with 60 inches of yarn can be calculated as follows :Number of bracelets = Length of yarn ÷ Length used per bracelet= 60 ÷ 6= 10Therefore, Sal can make 10 bracelets with 5 feet of yarn. Note that the length of yarn used and the length of yarn provided are both measured in inches and feet. So, it is necessary to convert them to a common unit. Also, since the question does not ask for a fraction of a bracelet, the final answer has to be a whole number. To summarize, Sal can make 10 bracelets with 5 feet of yarn if he uses 6 inches of yarn per bracelet.

To know more about bracelet visit:

https://brainly.com/question/16898240

#SPJ11

Answer:

True.

Step-by-step explanation:

100,650 is 93 digits greater than 100,557.