The sum of the digits of a two-digit number is 11. if the digits are reversed, the number 45 more than the original number. Find the original number.

The surface area of a cylinder  is 1093.04 square cm with a diameter of 12 cm and a height of 23 cm.

Surface Area of Cylinder = 2πr (r + h)

Where π (pi) = 3.14,r is the radius of the cylinder,h is the height of the cylinder

Given that the diameter of the cylinder is 12 cm, we can find the radius of the cylinder by dividing the diameter by 2.r = 12/2 = 6 cm

Therefore, the radius of the cylinder is 6 cm.

Given that the height of the cylinder is 23 cm. So, h = 23 cm.

Now, we can plug in the values in the surface area formula.

Surface Area of Cylinder = 2πr (r + h)

Surface Area of Cylinder = 2 x 3.14 x 6 (6 + 23)

Surface Area of Cylinder = 2 x 3.14 x 6 (29)

Surface Area of Cylinder = 2 x 3.14 x 6 x 29

Surface Area of Cylinder = 1093.04 square cm

Therefore, the surface area of the cylinder is 1093.04 square cm.

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9514 1404 393

Answer:

  629 kilopascals

Step-by-step explanation:

The tire pressure is given by the exponential function ...

  p(t) = 900·0.95^t

where t is in minutes and p is in kilopascals.

  p(7) = 900·0.95^7 ≈ 629 . . . . kilopascals

The coordinate of point S given the midpoint is 1, 5)

To find the coordinates of S, we first need to use the midpoint formula to find the coordinates of M.

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

We are given that the midpoint of ST is M = (4, -3), and we know the coordinates of T are T = (7, -11).

Using the midpoint formula, we can write:

M = ((x1 + 7)/2, (y1 - 11)/2)

Solving for x1 and y1, we get:

x1 + 7 = 2 * 4 = 8

y1 - 11 = 2 * (-3) = -6

x1 = 8 - 7 = 1

y1 = -6 + 11 = 5

Therefore, the coordinates of S are S = (1, 5).

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Answer:

Step-by-step explanation:

Needs $500  Makes 7.50 and works 10 hours week.

7.50*10= $75.00 a week

500/75= 6.6 weeks or 6 weeks and 2/3 of a week. I'd round to 7 weeks.

75(x)=500   X= weeks needed.

75x=500 if you divide 500 by 75

x=20/3 or 6.6

Answer:

a. or \(\frac{3}{-2}\)

Step-by-step explanation:

Slope is equal to y1-y2 over x1-x2.

So the equation would be:

\(\frac{2-(-1)}{-3-(-1)}\)

2-(-1)=2+1=3

-3-(-1)=-3+1=-2

So the answer is:

\(\frac{3}{-2}\)

The value of x in the chord intersection is 16 units.

The intersecting chord theorem  states that the products of the lengths of the line segments on each chord are equal. In other words, If two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.

Therefore, lets find the value of x in the intersecting chords as follows:

15 × x = 24 × 10

15x = 240

divide both sides of the equation by 15

x = 240 / 15

x = 16

Therefore,

x = 16 units

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Answer:

$12

Step-by-step explanation:

$25 on credit card - $5 payment - $8 clothes = what's left on the card

25 - 5 = 20

20 - 8 = 12

there's $12 dollars left on that credit of yours

Answer:

Distributive Property

Step-by-step explanation:

If we have an equation where we multiply something in parentheses by a certain term, then we can apply the distributive property to simplify it.

In this case: \(5(x-7)=55\)

We can multiply \(x-7\) by 5 to simplify this equation - this is the distributive property.

\(5x - 35 = 55\)

So the property used to write the equation in Step 2 was the distributive property.

Hope this helped!

Answer:

the answer is didrtbutive

Step-by-step explanation:

hope it helps.

have a good day:)

Answer:

adjacent angle pair is ∠AOD and ∠DOB    (could be any two that are next to each other)

vertically opposite angles are ∠AOD and ∠COB (also could be ∠AOC and ∠DOB

Step-by-step explanation:

The experimental research provides higher control and allows for stronger causal inferences, while quasi-experimental research is more suitable when random assignment is not feasible.

Experimental and quasi-experimental research are two approaches used in scientific studies, but they differ in terms of their design and the level of control over variables.

⇒ Experimental research involves the manipulation of an independent variable to observe its effects on a dependent variable, while controlling for potential confounding variables. It assigns random assignment of participants to different conditions, allowing for causal inferences.

The researcher has control over the variables and can establish cause-and-effect relationships.

⇒ On the other hand, quasi-experimental research lacks random assignment of participants. Instead, pre-existing groups or naturally occurring variations are used. The researcher still manipulates the independent variable but cannot randomly assign participants. This limits the ability to establish strong causal relationships.

⇒ Quasi-experimental designs are used when random assignment is not possible. They are useful for studying phenomena in real-world settings, but caution must be exercised in drawing definitive causal conclusions.

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The main difference between experimental and quasi-experimental research is that experimental research involves random assignment and control groups, while quasi-experimental research lacks random assignment and control groups.

Experimental and quasi-experimental research are two common research designs used in social sciences and other fields. They differ in terms of random assignment, control groups, and the establishment of causality.

Experimental Research:

quasi-experimental research:

Overall, experimental research provides stronger evidence for cause-and-effect relationships, while quasi-experimental research is used when random assignment is not possible or practical.

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To minimize the cost of the fence, we need to find the dimensions of the rectangular field that will result in the smallest perimeter. Let's assume the length of the rectangle is x feet.

Since we want to divide the field in half with a fence parallel to one of the sides, the width of the rectangle will also be x feet.

The area of the rectangular field is given as 37.5 million square feet, so we have the equation x * x = 37.5 million.

Simplifying, we find x² = 37.5 million.

To minimize the cost, we need to minimize the perimeter of the rectangular field. The perimeter is given by P = 2x + 2x = 4x.

Using the equation x² = 37.5 million, we can solve for x by taking the square root of both sides. This gives us x = √(37.5 million).

Substituting this value of x into the perimeter equation, we get P = 4 * √(37.5 million).

Therefore, the lengths of the sides of the rectangular field that will minimize the cost of the fence are √(37.5 million) feet and √(37.5 million) feet.

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Answer:

first I put -2.32 into a improper fraction and then I simplified to this - 2 8/25

We need to find the given numbers mixed fraction representation.

The given numbers mixed fraction form is \(-2\dfrac{8}{25}\).

The given number is \(-2.32\).

Let us remove the negative sign for solving the question.

The negative sign can be added at the end.

\(2.32=2+0.32\)

\(=2+\dfrac{32}{100}\)

Dividing the fraction by common factors we get

\(2+\dfrac{8}{25}=2\dfrac{8}{25}\)

The given numbers mixed fraction form is \(-2\dfrac{8}{25}\).

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To translate a linear function to the left, you need to subtract the same amount from each x-value of the function. This will shift the graph of the function to the left.

Translating a linear function to the left requires making an adjustment to the x-values of the function. You adjust each x-value by subtracting the same amount from it. This will shift the graph of the function to the left. This is because the x-values of a linear function represent the inputs of the function, and when the inputs are adjusted, the graph of the function shifts accordingly. This is also known as a horizontal shift in the graph of the function. It is important to note that when translating a linear function to the left, the y-values of the function remain unchanged. The equation of the linear function will also remain the same, but with the x-values adjusted. Translating a linear function to the left is a useful tool for analyzing and understanding linear functions in more depth. It can also help to visualize how changes in the inputs of a linear function can affect the output of the function.

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Answer:

It's D; 32 ounces, because you get more for the price.

Answer:

A. 10 oz

Step by step explanation:

The question asks which one has the lowest unit price. The key word is unit, not just what is shown on the chart. You have to divide the price by the number of ounces to get the price for one ounce(unit). Then you look at all the prices and whichever one is the lowest is the answer. These are the unti prices after you divide the price by the number of oz

A=0.079

B=0.086

C=0.120

D=0.0996875

Answer: B

Step-by-step explanation:

The question asks for [n≥-5] to be true, which means any value that is greater or equal to -5 will be considered.

A. {-5, -5.5, -6}

-5 TRUE

-5.5 FALSE

-6 FALSE

B. {-5, -4.5, -3}

-5 TRUE

-4.5 TRUE

-3 TRUE

C. {-6, 0, 5}

-6 FALSE

0 TRUE

5 TRUE

D. {-6, -7, -8}

-6 FALSE

-7 FALSE

-8 FALSE

As shown above, we can clearly see that Set B is the set that makes the inequality true.

the scale is x4

because 10x4=40

11x4=44

18x4=72

you multiply by 4 on all of them

Answer:

the scale is x4

because 10x4=40

11x4=44

18x4=72

you multiply by 4 on all of them

Step-by-step explanation:

Answer:

x= -23/3 If asked as a decimal, then you would get -7.6 repeating. If it isn't asked to be a decimal just leave it as a fraction, it cannot be reduced or get any simpler. You may pass with -7 2/3. (I would leave it though)

Step-by-step explanation:

You need to isolate the x by dividing the 3 using inverse operations. you would then be able to just write it out like this:

3x-23 solve for x

3x/3=-23/3

x=-23/3

(Sorry if this didn't help.)

Tony should buy the paint from Ready-Steady-Paint because it would be cheaper, costing him £28.05 compared to £30 from Paint-O-mine.

To determine which shop Tony should buy the paint from, let's compare the total cost of 12 tins of paint from both shops.

Paint-O-mine:

The cost of 3 tins of paint from Paint-O-mine is £7.50.

Cost of 1 tin = £7.50 / 3 = £2.50 per tin.

Since Tony needs 12 tins, the total cost from Paint-O-mine would be: £2.50 × 12 = £30.

Ready-Steady-Paint:

The normal price of a box of 4 tins from Ready-Steady-Paint is £11. However, there is a 15% discount on the normal price.

To calculate the discounted price, we multiply the normal price by (100% - 15%):

Discounted price = £11 × (100% - 15%) = £11 × 85% = £9.35.

So, the cost per tin from Ready-Steady-Paint is

= £9.35 ÷ 4

= £2.3375

Since Tony needs 12 tins, the total cost from Ready-Steady-Paint would be: £2.3375 × 12 = £28.05.

Comparing the total costs:

The total cost from Paint-O-mine is £30.

The total cost from Ready-Steady-Paint is £28.05.

Therefore, Tony should buy the paint from Ready-Steady-Paint because it would be cheaper, costing him £28.05 compared to £30 from Paint-O-mine.

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Answer:

47.46 dollars

Step-by-step explanation:

If the store Macy has to increase the retail by 13%, then Macy store must increase the shirt. So you must increase 42 dollar by 13%.

The correct characteristics of bar charts are:Plotted rectangles should be the same height.Plotted rectangles should be the same width.There should be gaps between bars.

Plotted rectangles should be the same height: In a bar chart, each rectangular bar represents a specific category or group, and the height of the bar corresponds to the value or quantity associated with that category. To accurately represent the data, all the bars in a bar chart should have the same height, allowing for easy visual comparison between the different categories.Plotted rectangles should be the same width: The width of the rectangular bars in a bar chart is not significant and can vary.

The emphasis is placed on the height of the bars to represent the data accurately. However, it is common practice to keep the bars in a bar chart equally spaced and of uniform width to maintain consistency and visual appeal.Bar charts are used for qualitative data: This statement is incorrect. Bar charts are primarily used to represent categorical or qualitative data.

The categories or groups are typically displayed along the horizontal axis, while the vertical axis represents the values or frequencies associated with each category.

There should be gaps between bars: In a bar chart, it is standard to have gaps between adjacent bars to visually separate them and avoid the appearance of a continuous bar. These gaps help distinguish individual categories and make it easier for viewers to interpret the chart accurately.So, the correct characteristics of bar charts are that the plotted rectangles should be the same height, the plotted rectangles should be the same width, and there should be gaps between bars.

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The main characteristics of bar charts are that they should have bars of equal width, use gaps to distinguish different categories, and they can represent both qualitative and quantitative data. The bars could represent various entities like countries, or years, and the size of the bar depicts a numerical or percentage information.

The characteristics of bar charts include the following: the plotted rectangles (bars) should be of the same width to ensure uniformity, and they represent quantities, sizes, rates or other numerical values. Bar charts are not only useful for displaying qualitative data, but they can also represent quantitative data. Moreover, there should ideally be gaps between the bars to distinguish between the different categories being compared.

These charts use either horizontal or vertical bars to show comparisons among categories. For instance, bars in a bar chart can represent different countries or years, and the height or length of the bar signifies a numerical or a percentage value. Bar graphs provide a visual perspective that aids in understanding data better and enables easy comparison of data across different categories.

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Answer: a. 18 teaspoons

b. 6 tablespoons

Step-by-step explanation:

a. 1 tsp: 15 sq ft

270 sq ft * 1 tsp/15 sq ft=

270 * 1/15=

270/15=18 teaspoons

b. 3 tsp = 1 tbsp

18 tsp * 1 tbsp/3 tsp=

18 * 1/3=

18/3=6 tablespoons

The value of ab in the similarity transformation from triangle abc to triangle mno is 5

The given parameters are:

ab = x, bc = y, and ca = 2x

om = 5

The scale factor from abc to mno is 0.5.

So, we have:

0.5 * ca = om

Substitute om = 5

0.5 * ca = 5

Divide both sides by 0.5

ca = 10

Recall that:

ca = 2x

So, we have:

2x = 10

Divide by 2

x = 5

Recall that:

ab = x

So, we have:

ab = 5

Hence, the value of ab is 5

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There are four common types of transformations -

translation

rotation

reflection

 dilation.

The predicted mean starting salary for a program with a per-year tuition cost of $40,387 is $84,928.

b. Using the least-squares method, we obtain:

bo = -11.075 and by = 2.38

(Note: bo represents the y-intercept, which is the predicted mean starting salary when tuition is 0, and by represents the slope, which is the change in mean starting salary for every unit increase in tuition.)

c. The slope, b, represents the change in mean starting salary for every unit increase in tuition. In this case, the slope is by = 2.38, which means that for every additional $1 in tuition, the mean starting salary upon graduation is expected to increase by $2.38.

Therefore, the correct choice is:

D. For each increase in tuition of $100, the mean starting salary upon graduation is expected to increase by $238.

d. Using the regression equation, we can predict the mean starting salary for a program that has a per-year tuition cost of $40,387:

y = bo + byx

y = -11.075 + 2.38(40,387)

y ≈ $84,928

Therefore, the predicted mean starting salary for a program with a per-year tuition cost of $40,387 is $84,928.

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Answer:

-38

Step-by-step explanation:

Subtract  42  from  4 . Since 42 is negative so will the answer

Answer:

29 feet

Imagine you are on an open plane.

you walk 11 feet forward and your friend 10 feet. you are now 21 feet apart. now put imaginary walls that stopped both of you at that 21 feet.

now, you go 12 feet to your right, and your friend 8 feet to their right. imagine you are pushing a wall in front of you.

at that point the side walls are 20 feet apart.

you and your friend are at opposite corners of a 20 by 21 foot room.

at that point it's just a matter if applying the Pythagorium theory.

The solution to the equation (x + 15) = -5 is x = -20.

To solve the equation (x + 15) = -5, we need to isolate the variable x on one side of the equation.

We can start by subtracting 15 from both sides of the equation:

(x + 15) - 15 = -5 - 15

Simplifying this expression, we get:

x = -20

Therefore, the solution to the equation (x + 15) = -5 is x = -20.

So, none of the options provided (x = -10, x = -40, x = 8, x = 15) is correct.

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