A tin of Tonyz soup has a paper label wrapped around the outside. The tin has a height of 21cm and a radius of 7cm. The label covers the entire height of the can. The label overlaps by 1cm as it wraps around so that it can be stuck together. Calculate the area of the label. 7cm Tonyz Cream of EST 1986 EST Tomato Soup VRISTES 14.1 OZ (40g) 12 21cm​

EXPLANATION :

From the problem, we have the equation :

The slope 0.28 indicates the increase in weight every month.

Therefore, for every month after the puppy is born, the weight increases by 0.28 pounds

ANSWER :

For every month after the puppy is born, the weight increases by 0.28 pounds

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

Option D is the correct answer.

We have,

We need to isolate the absolute value |x + 2| on one side of the inequality.

We subtract 7 from both sides.

|x + 2| > 3

Next, we can split this inequality into two separate inequalities, one for when the expression inside the absolute value is positive, and one for when it is negative:

x + 2 > 3

or

- (x + 2) > 3

Solving for x in the first inequality.

x > 1

Solving for x in the second inequality.

-x - 2 > 3

Adding 2 to both sides and multiplying by -1.

x < -5

So the solution set for the inequality |x + 2| + 7 > 10 is the set of all x-values that satisfy either x > 1 or x < -5.

Using interval notation.

(-∞, -5) U (1, ∞)

Thus,

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ1

to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{8 }{2 +4} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4 }{ 3 }\)

The rows and columns of the positive integers greater than three are as shown. And the number 5018 is found in the third column.

When performing a permutation test, you repeatedly rearrange one of the variables without affecting the other variable (s). From the given table, we can start with column 4. Here, each row has about 6 numbers. That is singular row has numbers from columns 1 to 6 and an even row from columns 7 to 2.

Then subtract 5018 by 3. We get 5018-3=5015.

Divide this by 6,

5015/6 = 836.

So 5018 is located in an even row from 7 to 2.

Therefore, 5018 is located in the 836th row and 3rd column.

So the required answer is E) 3.

To know more about permutation:

https://brainly.com/question/1216161

#SPJ4

In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.

it represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.

In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.

In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.

To Know more about variables, visit:

https://brainly.com/question/17344045

#SPJ1

Answer:

A:  \(\frac{4}{7}\)=\(\frac{7.04}{x}\)

Step-by-step explanation:

Khan Academy

By algebra properties and trigonometric formulas, the trigonometric expression (a · cos A + b · sin A)² + (a · sin A - b · cos A)² is equivalent to the algebraic expression a² + b².

In this problem we must prove that the trigonometric expression (a · cos A + b · sin A)² + (a · sin A - b · cos A)² is equivalent to the algebraic expression a² + b², this can be done both by algebra properties and trigonometric formulas. First, write the given expression:

(a · cos A + b · sin A)² + (a · sin A - b · cos A)²

Second, expand the expression by algebra properties:

a² · cos² A + 2 · a · b · cos A · sin A + b² · sin² A + a² · sin² A - 2 · a · b · cos A · sin A + b² · cos² A

(a² + b²) · cos² A + (2 · a · b - 2 · a · b) · cos A · sin A + (a² + b²) · sin² A

(a² + b²) · (cos² A + sin² A)

Third, use the fundamental trigonometric formula:

a² + b²

To learn more on trigonometric expressions: https://brainly.com/question/22624805

#SPJ1

The value of Quotient from the given terms is 9.6* 10^8

According to the statement

we have given that the two terms and we have to find the quotient of the these terms.

So, we know that the

Quotient is a the number resulting from the division of one number by another.

And for find the quotient we have to divide the terms with each other.

So, The given terms are \(7.536*10^7\)and \(7.85*10^2\)

divide both terms with each other.

Quotient = \(\frac{7.536*10^7}{7.85*10^2}\)

Then

The value of quotient becomes

Quotient = \(0.96 * 10^9\)

After removing the decimal from the answer it will become

Quotient = \(9.6* 10^8\).

So, The value of Quotient from the given terms is 9.6* 10^8

Learn more about Quotient here

https://brainly.com/question/8952483

#SPJ1

Answer: its 7.85x10^-9

Step-by-step explanation:

Check the picture below.

\(\stackrel{AC}{x}~~ + ~~\stackrel{CB}{2x}~~ = ~~\stackrel{AB}{33}\implies 3x=33\implies x=\cfrac{33}{3}\implies \boxed{x=11} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE AC}}{11}\hspace{10em}\stackrel{\textit{\LARGE CB}}{2(11)\implies 22}\)

Step-by-step explanation:

step 1. x + 51 + 39 + 127 = 360 (1 revolution is 360°)

step 2. x + 90 + 127 = 360

step 3. x + 127 = 270. (subtract 90 on both sides)

step 4. x = 143° (subtract 127 on both sides)

Answer:

It 2/4

Step-by-step explanation:

t 2/4 because on the graph the lines is on 2/4

Answer:-1/6

Step-by-step explanation:

Draw a line out in the 2nd quadrant.

Your y=\(\sqrt{35}\)    hypotenuse=6  use pythagorean theorem to solve for x

6² = 35 + x²

x=1

so

cosΘ = -1/6

Answer:

Solution given:

lowest =0

highest=11

the range in hours spent watching Netflix=

highest-lowest =11-0=

Range is 11.

Answer:

Solution : here ,

lowest = 0

Highest = 11

the range in hours spent watching Netflix

=highest — lowest

= 11 —0

= 11

the range = 11

hope it is helpful to you

Answer:

0

Step-by-step explanation:

0 - 0 = 0

2 - 1 = 1

which is 0/1

remember slope is y - y1 / x - x1

Answer:141.4

Step-by-step explanation:

The range of the data set increased by 12 and the median of the data set is at 50.

The Range of a data set is the difference between the lowest and highest values.

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

The given data set is;

15, 17, 19, 19, 22, 23, 25, 27, 32, 34

The range of this data set will be

range = 34 - 15 = 19.

Assuming we add another age of 46, the range will become

range = 46 - 15 = 31

This will impact the range of the data by 31 - 19 = 12.

The range will be impacted by an increase with 12.

The median is the value that's exactly in the middle of a dataset when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points.

The data set given is

48, 63, 75, 40, 32, 52, 35, 68, 83, 40

We have to rearrange the data points first before finding the median;

32, 35, 40, 40, 48, 52, 63, 68, 75, 83.

The median of the data set will be the average between 48 and 52 which is 50.

the median of the data is 50.

Learn more on range and median of a data set here;

https://brainly.com/question/3514929

#SPJ1

The measure of m<1 is 108 degrees from the provided figure.

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Lines are therefore one-dimensional objects, even if they can exist in spaces with two, three, or more dimensions.

From the diagram, we have the following parameters

m<2 = 72 degrees

Required parameters

The measure of angle m<1

From the figure, the sum of the interior angle is equivalent to 180 degrees, that is:

m<1 + m<2 = 180

m<1 = 180 - m<2

m<1 = 180 - 72

m<1 = 108 degrees

Hence the measure of m<1 from the given figure is 108 degrees.

Learn more on line geometry here: https://brainly.com/question/7098341

#SPJ1

According to the information, the maximum infection rate is:  k * 2500 * (5000 - 2500) = 6250k = 40

To address this problem, we can use the law of the infection rate, which states that the infection rate is directly proportional to the product of the number of people infected and the number of people not infected. Therefore, we can write:

where "k" is a constant of proportionality. Since we want to find the number of people infected that produces the maximum infection rate, we can consider the infection rate as a function of the variable "x" representing the number of people infected. Therefore, we can write:

To find the value of "x" that maximizes the infection rate, we can derive this function and set the derivative equal to zero:

This implies that 5000 - 2x = 0, and therefore:

Therefore, the number of infected people that produces the maximum daily rate of infection is 2,500.

However, we must verify that this result is consistent with the information given in the problem. We know that when there are 1,000 people infected, the flu spreads at the rate of 40 new cases per day. Therefore, if we add 1,500 more infected people (for a total of 2,500), the infection rate would be:

If the infection rate is 40 new cases per day, we have:

which implies that:

Therefore, the maximum infection rate is:

Learn more about infection in: https://brainly.com/question/29850356

#SPJ1

The percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The total number of water bottles the company manufactured in February, March, and April.

In February, the company manufactured 4,100 water bottles. In March, the company manufactured 7% more water bottles than in February, which is 7/100 * 4,100 = 287 water bottles.

Therefore, the total number of water bottles the company manufactured in March is 4,100 + 287 = 4,387 water bottles. In April, the company manufactured 500 more water bottles than in March, which is 4,387 + 500 = 4,887 water bottles.

This is calculated as (4,887 - 4,100) / 4,100 = 0.195 or 19.5%.

Therefore, the percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

Learn more about percentages, here:

https://brainly.com/question/29306119

#SPJ1

The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan,(tetha) = opp/adj

angle O = 180-(90+34)

= 180- 124

= 56°

To find m,

Tan 34 = m/12

m = Tan34 × 12

m = 8.1 in

using Pythagoras theorem to find n,

n= √8.1²+12²

n = √65.61+144

n = √209.61

= 14.5 in

learn more about trigonometric ratio from

https://brainly.com/question/24349828

#SPJ1

Answer: 11.11%

17:153*100 =

(17*100):153 =

1700:153 = 11.11

Answer:

C)  1/2  and 8

Step-by-step explanation:

-2x + y = 7              Eq. 1

6x + y = 11               Eq. 2

From Eq. 1:

y = 7 + 2x               Eq. 3

From Eq. 2:

y = 11 - 6x              Eq. 4

Equalyzing Eq. 3 and Eq. 4:

7 + 2x = 11 - 6x

2x + 6x = 11 - 7

8x = 4

x = 4/8

x = 1/2

From Eq. 3:

y = 7 +2* 1/2

y = 7 + 1

y = 8

Check:

From Eq. 2

6x + y = 11

6*1/2 + 8 = 11

3 + 8 = 11

The integral of sin(ax)sin(bx)dx evaluated using integration by parts is [- b cos(ax) sin(bx) - a cos(ax)sin(bx)] / [1 - ab] + C, where C is the constant of integration.

Let u = sin(ax), dv = sin(bx) dx, then du/dx = a cos(ax), v = - (1/b) cos(bx).

By integration by parts, we have:

∫sin(ax)sin(bx)dx = - (1/b) sin(ax) cos(bx) - ∫cos(ax)cos(bx) (a/b) dx

Next, let u = cos(ax), dv = cos(bx) dx, then du/dx = -a sin(ax), v = (1/b) sin(bx).

Using integration by parts again, we have:

∫sin(ax)sin(bx)dx = - (1/b) sin(ax) cos(bx) - [ (a/b)cos(ax)sin(bx) - (a/b^2) ∫sin(ax)sin(bx) dx]

Multiplying both sides by b^2 and rearranging, we get:

b^2 ∫sin(ax)sin(bx)dx = - b cos(ax) sin(bx) - a cos(ax)sin(bx) + a b ∫sin(ax)sin(bx)dx

Simplifying, we get:

[1 - ab] ∫sin(ax)sin(bx)dx = - b cos(ax) sin(bx) - a cos(ax)sin(bx)

Thus, we have:

∫sin(ax)sin(bx)dx = [- b cos(ax) sin(bx) - a cos(ax)sin(bx)] / [1 - ab]

Therefore, we have evaluated the given integral using integration by parts.

To know more about integration by parts:

https://brainly.com/question/14402892

#SPJ4

Answer:

1/52

Step-by-step explanation:

A deck has 52 cards and the probability of picking a specific one is 1/52, or 1.92%

If you are looking for the probability of a diamond, it is 1/4, or 25%

Answer:

The first one ( x and y are switched)

Step-by-step explanation:

it should be (1/2, -1/2)

when graphing you must go across and then up or down.

He went right which meant a positive x

then he went down which meant a negative y

Answer:2

Step-by-step explanation:

1+1=2

The domain of the function or relation is {6, 9, -4 and 2}

The function is represented by the set of relation or ordered pairs

The ordered pairs in the relation are:

(x, y)  = (6, -3), (9, -3), (-4, 1) and (2, 1)

Remove the y values in the above domain

x = 6, 9, -4 and 2

The x values represent the domain of the function

Hence, the domain of the function or relation is {6, 9, -4 and 2}

Read more about domain at:

https://brainly.com/question/1770447

#SPJ1

Answer:

Step-by-step explanation:

Given cotA = 40/9

1/tanA = 40/9

tanA = 9/40

According to SOH, CAH, TOA

tan A = 9/40 = opposite/adjacent

Get the hypotenuse

hyp² = opp²+adj²

hyp² = 9²+40²

hyp² = 81+1600

hyp² = 1681

hyp = √1681

hyp = 41

Het sec A

sec A = 1/cosA

Since cos A = adjacent/hypotenuse

cos A = 40/41

secA = 1/(40/41)

SecA = 41/40

Hence the exact value of secA is 41/40