whats the answer to number 1 please and thank you? please write down the steps too

 Total volume of the salt shaker is 56.52+706.5=763.02 cm³

The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr²h.

Given here: The volume of a salt shaker  

The radius of the salt shaker which is 5 cm

Thus the volume of the cylinderical salt shaker is = π×3²×5²

                                                                                  =706.5 cm³

and the volume of the hemisphere at the top is=  (2/3)πr³

                                                                               =56.52 cm³

Hence, Total volume of the salt shaker is 56.52+706.5=763.02 cm³

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The complete question is Which is a better estimate for the volume of a salt shaker? where radius =3 cm and height =5 cm

Answer:

Step-by-step explanation:

Use Pythagorean's theorem. If the sides satisfies Pythagorean theorem, then, they form a right angled triangle.

The longest side is hypotenuse.

Hypotenuse² = base² + altitude²

10²  = 6² +8²

100 = 36 + 64

100 = 100

So, 6cm, 8cm, 10 cm makes an right angles triangle.

The answer in fraction form is in the picture

Answer:

4.84

Step-by-step explanation:

4+2/5+2/5+1/25

The monthly instalment is 168.75 cedis (approx).

A trader borrowed an amount of 1800 Ghana cedis at an interest rate of 121/2 per cent per annum. It was agreed that the loan and the interest must be in one year equal instalments. The trader wants to calculate:
i) The interest on the loan
ii) The amount to be paid at the end of the year
iii) Monthly instalment.

i) Interest on the loan

The interest on the loan can be calculated using the formula:

I = PRT

Where,
P = Principal amount
R = Rate of interest per annum
T = time in years

Here,
P = 1800 cedis
R = 12.5% = 12.5/100 = 0.125
T = 1 year

I = 1800 × 0.125 × 1
I = 225 cedis

Therefore, the interest on the loan is 225 cedis.

ii) Amount to be paid at the end of the year

The amount to be paid at the end of the year can be calculated as:

Total amount = Principal + Interest

Total amount = 1800 + 225
Total amount = 2025 cedis

Therefore, the amount to be paid at the end of the year is 2025 cedis.

iii) Monthly instalment

If the loan and the interest are to be paid in one year equal instalments, then the monthly instalment can be calculated as:

Monthly instalment = Total amount / Number of months

Here,
Total amount = 2025 cedis
Number of months = 12
Monthly instalment = 2025 / 12
Monthly instalment = 168.75 cedis (approx)

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120 ways can the letters in the word spoon be arranged. So, The correct option is d) 120.

The word "spoon" has five letters, and we need to find the number of ways to arrange these letters. This can be done using the permutation formula, which is n!/(n-r)!, where n is the total number of items and r is the number of items being selected. In this case, we have five items and we need to arrange all of them, so r = 5. Therefore, the number of arrangements is 5!/(5-5)! = 5!/0! = 5x4x3x2x1 = 120.

To understand this concept better, consider that the first letter of "spoon" can be any of the five letters. Once we choose a letter for the first position, there are four letters left to choose from for the second position, three for the third position, two for the fourth position, and only one letter left for the fifth position. Multiplying these numbers gives us the total number of arrangements. Therefore, there are 120 ways to arrange the letters in the word "spoon". So the correct answer is d) 120.

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Answer:

41 1/5

Step-by-step explanation:

2 3/5 x 7 = 18 1/5

5 3/4 x 4 = 23

18 1/5 + 23 = 41 1/5

184,219,440 ways.

What is contestant?

A participant in a contest or competition is known as a contestant. A contestant is someone who challenges election results.

There are 570 contestants, and any one of them can win the first prize.

One of the remaining 569 people can receive the second prize.

Third may be assigned to any of the remaining 568.

We can accomplish this in 570*569*568 ways

= 184,219,440 ways.

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True: When a form is created based on two or more tables, a relationship must be defined between queries.

True. When a form is created based on two or more tables, a relationship must be defined between queries in order to ensure that the form displays accurate data. Queries are used to pull data from multiple tables and present it in a single view, so it is important to define the relationships between these tables to avoid inconsistencies or errors in the displayed data. This ensures that the data from the related tables can be properly displayed and managed within the form.

When you drag and search a field from an "other" (unrelated) table, a new one-to-many relationship is created from the table in the list and the table from which you dragged the field. This relationship is established by Access, which does not enforce integrity by default.

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The raw score which is the score separating the bottom 42% from the top 58% is 183.32.

The given variable is a normal distribution variable.

Mean of the variable is given by = µ = 164.8

Standard deviation of the variable is given by = s = 92.6

Let the p42 or the score separating the bottom 42% from the top 58% be x.

z = (x - 164.8)/92.6

So, P(Z < z) = 0.42

We know that normal distribution table that P(Z < -0.21) = 0.42

So, z = - 0.21

(x - 164.8)/92.6 = 0.21

x - 164.8 = 0.21*92.6

x - 164.8 = 18.52

x = 18.52 + 164.8

x = 183.32

Hence the required raw score will be 183.32.

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False. In a simple regression analysis, the response variable y does not necessarily have to be the business outcome that we wish to understand better.

In regression analysis, the response variable (dependent variable) represents the outcome or variable of interest that we want to explain or predict. It is the variable that we seek to model or understand based on the values of one or more predictor variables (independent variables).

While the response variable in a regression analysis can indeed be a business outcome, such as sales revenue or customer satisfaction, it can also be any other measurable variable that we want to study or analyze, such as temperature, time, or test scores. The choice of the response variable depends on the research question and objectives of the analysis.

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a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

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A nearby hamburger joint sold 416 hamburgers and cheeseburgers in total on Monday. 104 hamburgers were sold.

Given that,

A nearby hamburger joint sold 416 hamburgers and cheeseburgers in total on Monday. Three times as many cheeseburgers were sold as regular hamburgers.

We have to find on Monday, how many hamburgers were sold.

Let us take hamburgers were sold as h and cheeseburgers were sold as c.

Quantity equation is h+c=416

c=3h

Substitute c =3h in h+c=416

h+3h=416

4h=416

h=104

Now,

Substitute h=104 in c=3h

c=3×104

c=312

Therefore, 104 hamburgers were sold.

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The statement that represents the direct variation for this equation is y = 3.49x, hence the correct option is B.

The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation. For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation if b is directly proportional to a. (where k is a constant).

The equation of direct variation is given as:

y = mx

Given that stratton family rented 3 dvds for a total of $10.47, we have y = 10.47 and x = 3.

Substituting the values of x and y in the equation we have:

10.47 = m(3)

m = 10.47/ 3

m = 3.49

Substituting the value of m in the equation we have:

y = 3.49x

Hence, the statement that represents the direct variation for this equation is y = 3.49x, hence the correct option is B.

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The correct question is:

The Stratton family rented 3 DVDs for a total of $10.47. Which of the following represents the direct variation equation for this situation? A. y = 3x B. y = 3.49x C. y = 10.47x D. y = 36.40x

Answer:

3

Step-by-step explanation:

5x + 40 = 55

5x = 55 - 40

5x = 15

x = 15 / 5

x = 3

Answer:

(0,-3), (-5,-5)

Step-by-step explanation:

Plug in x and y and see in which case = -15

-2(0)+5(5)= 25 no

-2(0)+5(-3)= -15 yes

-2(-5)+5(-1)= 5 no

-2(-5)+5(-5)= -15 yes

-2(10)+5(-1)= -25 no

-2(-10)+5(7)= 55 no

Answer:

\(\frac{1}{2\sqrt{5} }\)

Step-by-step explanation:

Let, \(\text{sin}^{-1}(\frac{x}{6})\) = y

sin(y) = \(\frac{x}{6}\)

\(\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})\)

\(\frac{d}{dx}\text{sin(y)}=\frac{1}{6}\)

\(\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}\) ---------(1)

\(\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}\)

\(\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}\)

cos(y) = \(\sqrt{1-\text{sin}^{2}(y) }\)

          = \(\sqrt{1-(\frac{x}{6})^2}\)

          = \(\sqrt{1-(\frac{x^2}{36})}\)

Therefore, from equation (1),

\(\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}\)

Or \(\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}\)

At x = 4,

\(\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}\)

\(\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}\)

                   \(=\frac{1}{6\sqrt{\frac{36-16}{36}}}\)

                   \(=\frac{1}{6\sqrt{\frac{20}{36} }}\)

                   \(=\frac{1}{\sqrt{20}}\)

                   \(=\frac{1}{2\sqrt{5}}\)

According to the given data we have the following number:

-4

find opposite of the opposite of -4

To find the opposite of the opposite of -4, first we need to find the opposite of -4.

The number that is the opposite of -4 would the number with the contrary sign. So, the opposite of -4 would be 4.

Therefore, if the opposite of -4 was 4, then to find the opposite of 4 we apply the same rule. So, the opposite of 4 would be -4.

Therefore, the opposite of the opposite of -4 would be -4. The right option would be a.

Answer:

Height of the triangle is 6 feet and base of the triangle is 4 feet.

Step-by-step explanation:

Area of a triangle is given by the formula,

Area = \(\frac{1}{2}(\text{Base})(\text{Height})\)

Let the height of triangle = h feet

Since, base of the triangle is 2 feet less than its height then base of the triangle = (h - 2) feet

Area = \(\frac{1}{2}h(h-2)\)

\(12=\frac{1}{2}h(h-2)\)

h² - 2h - 24 = 0

h² - 6h + 4h - 24 = 0

h(h - 6) + 4(h - 6) = 0

(h + 4)(h - 6) = 0

h = -4, 6 feet

Since height of the triangle can not be negative, therefore, height of the triangle = 6 feet.

And base of the triangle = (h - 2) = 6 - 2

                                         = 4 feet

Height of the triangle is 6 feet and base of the triangle is 4 feet.

Okay, here are the steps:

* Hassam buys 2 adult tickets and 2 child tickets

* Let's assume:

** Adult ticket price = $50

** Child ticket price = $25

* So total ticket price = 2 * $50 + 2 * $25 = $200

* The booking fee is 5% of the total cost

* 5% of $200 is $10

* So total payment = $200 + $10 = $210

Therefore, the total Hassam pays altogether is $210

The solution to the system of equations on the graph is (-4, -2)

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

The graph

To identify the solution to a system of equations on a graph, you need to look for the point where the two lines intersect.

This point represents the values of the variables that satisfy both equations simultaneously, and is therefore the solution to the system.

On the graph of the system, we have the point of intersection to be

(-4, -2)

This means that the solution is (-4, -2)

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Answer:

0.25(22-d)+d=10.75

Step-by-step explanation:

None of the other equations make sense given the information

Answer:

infinitely many solutions

Step-by-step explanation:

The two sides of this equation are identical.  Thus, this is an 'identity.'  The equation will be true no matter what value is substituted for x.  Thus, there are infinitely many solutions.

The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

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Answer:

1 hour

Step-by-step explanation:

am i right

Answer: -1/2

Step-by-step explanation:

Since there are 2 numbers c and b

Since c is 7 greater than twice b

Twice b means 2 x b = 2b

7 greater than means c is greater by 7 than 2b

Then the equation should be

c = 7 + 2b OR c = 2b + c

The probability of fatal cancers for the stomach, bone marrow, and bone surface given a dose of 6,000 rads from therapeutic radiation is not provided. The concept of radiation dosage and cancer probability.

In radiation therapy, a high energy beam of ionizing radiation is used to destroy cancer cells, shrink tumors and alleviate cancer symptoms. Ionizing radiation can damage the DNA of healthy cells as well as cancer cells. Cancer can occur as a result of the DNA damage to the cell. A long-term health risk of exposure to ionizing radiation is the development of cancer.

Radiation-induced cancers may not develop for years or even decades after exposure. The probability of radiation-induced cancer is dependent on the dose received, the time elapsed since exposure, and the type of radiation.In the case of the given dose of 6,000 rads from therapeutic radiation, the probability of fatal cancers for stomach, bone marrow, and bone surface can be estimated using statistical data. For example, according to the National Cancer Institute, the lifetime risk of fatal cancer from exposure to 10,000 rads of ionizing radiation is about 25%. However, it is important to note that this risk is spread out over a lifetime and not immediate.

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