step by step solution
x+1≥ 3or4/3x<-8

Solution

Proportion is represented by colon:

Answer:

pi  3.1415926535897932384626433832795

Answer:

B

Step-by-step explanation:

Because every rose bush costs $65 and it's charged with a $15 delivery fee.

Answer:

Please attach a photo to this so I can better answer your question

Answer:

a) $2.75

b) $2.2

c) Second tomato option is better value option.

Step-by-step explanation:

First option to buy tomatoes = $2.75 per pound

Second option to buy tomatoes:

To buy a box which is a 5 pound box and the price is $11.

To find:

a) Unit price for the first tomato option.

b) Unit price for the second tomato option.

c) Better value option on the basis of price.

Solution:

Let the consider the unit here to be a pound.

So, we will find the price of tomato per pound to find the unit price of tomato.

a) Unit price of the first tomato option is : $2.75 per pound

b) Unit price of the second tomato option:

Price for 5 pounds = $11

Dividing both sides with 5 to find the price of 1 pound or unit price.

Price for \(\frac{5}{5}\) = 1 pound = \(\frac{\$11}5 = \$2.2\)

c) To find the better value option, we can compare the unit prices of the two tomato options.

Here, we have the two tomato options with unit prices as:

$2.75 and $2.2

Second tomato option has a lower unit price, therefore, second option is better value option on the basis of price.

Answer:

x = 7, y = 45

Step-by-step explanation:

\(7x+13=6x+20\)

\(x=20-13\\x=7\)

Angle

\(7(7)+13=49+13=62^{0}\)

supplementary angle

180 - 62 = 118°

\(3y-17=118\)

\(y=\frac{118+17}{3} =135/3=45\)

Hope this helps

Answer:

a) The error bound of the confidence interval is of 0.66.

b) The confidence interval will be narrower.

Step-by-step explanation:

Question a:

We have to find the margin of error. Considering that we have the standard deviation for the sample, the t-distribution is used.

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 71 - 1 = 70

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 70 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 1.9944

The margin of error is:

\(M = T\frac{s}{\sqrt{n}}\)

In which s is the standard deviation of the sample and n is the size of the sample.

For this problem, \(s = 2.8, n = 71\). So

\(M = T\frac{s}{\sqrt{n}} = 1.9944\frac{2.8}{\sqrt{71}} = 0.66\)

The error bound of the confidence interval is of 0.66.

b. What will happen to the level of confidence obtained if 1,000 male Swedes are surveyed instead of 48? Why?

The margin of error is inversely proportional to the square root of the sample size, so increasing the sample size leads to a smaller margin  of error and a narrower confidence interval.

The null hypothesis would be that the population mean life span for Honolulu residents is equal to or greater than 77 years.

There will not be a difference in the reported mean life span of the general Hawaiian population and Honolulu residents. A.

The null hypothesis is a statement that assumes that there is no significant difference between two sets of data.

The null hypothesis would be that the population mean life span for Honolulu residents is equal to 77 years.

This is because the null hypothesis assumes that the mean life span of Honolulu residents is equal to the reported mean life span of the general Hawaiian population, is 77 years.

The researcher wants to test whether this assumption is true or not, and therefore the null hypothesis assumes that there is no significant difference between the two sets of data.

A claim that assumes there is no substantial difference between two sets of data is known as a null hypothesis.

The null hypothesis is that the average lifespan for people living in Honolulu is 77 years.

This is due to the null hypothesis's presumption that Honolulu residents' average lifespans are equal to the 77-year claimed average lifespan of the whole Hawaiian population.

The null hypothesis, which posits that there is no substantial difference between the two sets of data, is based on the researcher's desire to determine whether this assumption is true or not.

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Answer:

Step-by-step explanation:

\(D=\left[\begin{array}{ccc}-2&-4&2\\0&6&4\\\end{array}\right] -\left[\begin{array}{ccc}-2&-2&-2\\4&4&4\\\end{array}\right] \\\\\\D=\left[\begin{array}{ccc}(-2-(-2))&(-4-(-2))&(2-(-2))\\(0-4)&(6-4)&(4-4)\\\end{array}\right] \\\\\\D=\left[\begin{array}{ccc}(-2+2)&(-4+2)&(2+2)\\-4&2&0\\\end{array}\right] \\\\\\D=\left[\begin{array}{ccc}0&-2&4\\-4&2&0\\\end{array}\right] \\\\\\d_{11}=0\ \ \ \ d_{12}=-2\ \ \ \ d_{13}=4\\\\d_{21}=-4\ \ \ \ d_{22}=2\ \ \ \ d_{23}=0\)

Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.

Mary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.

Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.

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The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.

Answer:

-6 - 8i

Step-by-step explanation:

if the diameter of a tennis ball is 2.6 what is the circumference ​

we have that

the circumference is

C=Pi*D

we have

D=2.6 units

so

C=pi*2.6

C=2.6pi units ------> exact value

the approximate value is

C=3.14*2.6

C=8.16 units -----> approximate value

Answer:

Last one. I am 100% positive cause I'm good at this kind of math. If you need help on anything else, let me know

Step-by-step explanation:

Answer:

  d = 23 1/3

Step-by-step explanation:

You want to solve the proportion (0.3d -1)/(3 1/3) = (0.84)/(7/15).

  \(\dfrac{0.3d-1}{3\dfrac{1}{3}}=\dfrac{0.84}{\dfrac{7}{15}}\qquad\text{given}\\\\\\\dfrac{3(0.3d-1)}{10}=\dfrac{15(0.84)}{7}\qquad\text{invert and multiply}\\\\0.09d -0.3=1.8\qquad\text{simplify}\\\\0.09d = 2.1\qquad\text{add 0.1}\\\\d=\dfrac{2.10}{0.09}=\dfrac{70}{3}\qquad\text{divide by 0.09}\\\\\boxed{d=23\dfrac{1}{3}}\)

__

Check

  (0.3·(70/3) -1)/(3 1/3) = 0.84/(7/15)

  (7 -1)/(10/3) = 1.8

  6(3/10) = 1.8 . . . . . . true

Answer: 23 1/3

Step-by-step explanation:

The statement that shows equivalent measurements is "4.5 meters = 0.0045 kilometers".

How to solve the problem?

To convert meters to kilometers, we need to divide by 1000, since there are 1000 meters in a kilometer. Therefore, 4.5 meters is equal to 4.5/1000 = 0.0045 kilometers.

The other statements are incorrect:

4.5 meters is not equal to 0.045 centimeters, since there are 100 centimeters in a meter, so 4.5 meters is equal to 450 centimeters.

4.5 meters is not equal to 0.45 decimeters, since there are 10 decimeters in a meter, so 4.5 meters is equal to 45 decimeters.

4.5 meters is not equal to 45 decameters, since there are 10 meters in a decameter, so 4.5 meters is equal to 0.45 decameters.

It is important to be able to convert between different units of measurement in order to make accurate comparisons and calculations. In this case, the correct conversion factor was used to convert meters to kilometers, resulting in an equivalent measurement.

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Answer:

6666

Step-by-step explanation:

Answer:

It = 1

Step-by-step explanation:

25-24.75=0.25

0.25 / 25= 0.01

0.01 * 100 = 1

True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.

Summarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.

This process enables the reader to grasp the core message of the text quickly and efficiently.

By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.

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Answer:

The answer is "\(\frac{324}{5}\)"

Step-by-step explanation:

If the missing value is this \(z= 9-y-x^2\) then:

\(\bold{z =9-y-x^2} \\\\\to x\leq 0 \\\\\to y < 0\\\\let: \ z= 0\ then\\\\ \to 9-y-x^2=0\\\\\to y=9-x^2\\\\if\ y=0 \\\\\to 0=9-x^2\\\\\to x=3\\\\\text{Calculate the volume: }\\\)

\(\to \int \int z dz\ \ = \int \int_{R} (9-y-x^2) dz\\\\\)

                  \(=\int_0^{3} \ \int_0^{9-x^2} (9-y-x^2) dy \ dx\\\\=\int_0^{3} (9y- \frac{y^2}{2}-x^2 y)^{9-x^2} _{y=0}\ dx\\\\=\int_0^{3} (9-x^2)^2- \frac{(9-x^2)^2}{2}\ dx\\\\=\frac{1}{2} \int_0^{3} (9-x^2)^2\ dx\\\\=\frac{1}{2} \int_0^{3} 81+x^4-18x^2 \ dx\\\\=\frac{1}{2} (81x +\frac{x^5}{5}-6x^3)^3_0 \\\\= \frac{1}{2} (\frac{648}{5}) \\\\=\frac{324}{5}\)

The area of the complex figure is 132 square units

From the information given, we have that the composite shape is a combination of a:

The formula for area of a square is given as:

Area = a ²

Where 'a' is the length of it side

Area = 6²

Area of square = 36 square units

The formula for area of a rectangle is given as:

Area = width × length

Area = 8 × 12

Area of rectangle = 96 square units

Area of the complex figure = Area of square + area of rectangle

= 36 + 96

= 132 square units

Thus, the area of the complex figure is 132 square units

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Answer:

x = 13 and y = (7 - 3x) / (-2)

Step-by-step explanation:

Solving for X

The given equation is:

3x - 7 = 2x + 6

To solve for x, we can simplify and rearrange the equation as follows:

3x - 2x = 6 + 7 (subtracting 2x and adding 7 to both sides)

x = 13 (combining like terms)

Therefore, the solution to the given equation is x = 13.

Thus, the correct answer is 13.

The given equation is:

3x - 2y = 7

solving for y

To solve for y, we need to isolate y on one side of the equation.

First, we can subtract 3x from both sides of the equation:

3x - 3x - 2y = 7 - 3x

Simplifying, we get:

-2y = 7 - 3x

Next, we can divide both sides by -2 to get y by itself:

y = (7 - 3x) / (-2)

Therefore, the solution for y is y = (7 - 3x) / (-2).

Thus, the above is the solution for y.

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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Answer:

Step-by-step explanation:

One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.

One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer:

The quadratic equation is in the standard form: ax^2 + bx + c = 0. To use the quadratic formula to find the solutions, we need to identify the values of a, b, and c in the equation:

a is the coefficient of the x^2 term, which is -3 in this case.

b is the coefficient of the x term, which is -5 in this case.

c is the constant term, which is 9 in this case.

Therefore, the values of a, b, and c in the quadratic equation -3x^2 - 5x + 9 = 0 are:

a = -3

b = -5

c = 9

Total number of rabbits produced in 9 years will be 45.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a rabbit can produce 5 new rabbits per year

Total number of rabbits produced in 9 years will be -

n = 5y = 5 x 9 = 45 new rabbits

Therefore, total number of rabbits produced in 9 years will be 45.

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9514 1404 393

Answer:

  65

Step-by-step explanation:

The six numbers are sequential multiples of 10, so the mean is halfway between the middle two. Halfway between 60 and 70 is 65.

The mean of the 6 numbers is 65.