the height of a can of coke is in 11 cm and the radius is 6 cm calculate the total surface area of the can in cm^3 assuming that the
can is a closed cylinde​

The values of x that will give the quadratic equation no real number solutions are -5 and 9

Real roots of a quadratic equation are values of x, whose numbers can be represented on a number line.

Analysis:

We have -[tex]x^{2}[/tex] +3x +c = 0

[tex]b^{2}[/tex] - 4ac  is called the discriminant of a quadratic equation.

if [tex]b^{2}[/tex] - 4ac  < 0, then the quadratic equation has no real root.

where a = -1, b = 3 c = c

[tex](3)^{2}[/tex] -4(-1)c < 0

9 + 4c < 0

4c < -9

c < -9/2

Which means values lower than -9/2 would give the solution no real root.

From, the options,  only -5 would give no real solution, since it is lower than -9/2.

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Answer:

L (1, - 7 )

Step-by-step explanation:

give endpoints (x₁, y₁ ( and (x₂, y₂ )  then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = K (9, - 7 ) and (x₂, y₂ ) = L (x, y )

use the midpoint formula and equate to corresponding coordinates of M

[tex]\frac{9+x}{2}[/tex] = 5 ( multiply both sides by 2 to clear the fraction )

9 + x = 10 ( subtract 9 from both sides )

x = 1

and

[tex]\frac{-7+y}{2}[/tex] = - 7 ( multiply both sides by 2 )

- 7 + y = - 14 ( add 7 to both sides )

y = - 7

Then L  = (1, - 7 )

When the current mortgage rates are high and expected to drop in the near future, the loans that will be gotten is one that has C. variable rate.

It should be noted that a mortgage simply means a loan that's made by a bank to purchase a house.

In this case, the current mortgage rates are high and expected to drop in the near future, the loans that will be gotten is one that has a variable rate. This is because once the mortgage rate decreases, one will pay a lesser amount.

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Answer: B

Step-by-step explanation:

When y=0, x=7, so the x-intercept is at x=7.

Answer:

b.     The x‐intercept is x = 7, and the graph approaches a vertical asymptote at x = 6.  

Step-by-step explanation:

I took the test and got it right

Dwayne will drink 12 bottles of water in 4 days.

To find out how many bottles of water Dwayne will drink in 4 days, we can set up a proportion based on the information given:

Let x be the number of bottles of water he will drink in 4 days.

The number of bottles of water consumed per day remains constant, so we can set up the following proportion:

48 bottles / 12 days = x bottles / 4 days

Now, solve for x:

48 / 12 = x / 4

4x = 48

x = 48 / 4

x = 12

So, Dwayne will drink 12 bottles of water in 4 days.

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Determining the slopes of each side, we get the slope of [tex]\overline{AB}[/tex] is [tex]2[/tex], the slope of [tex]\overline{BC}[/tex] is -1/2, the slope of [tex]\overline{CD}[/tex] is 2, and the slope of [tex]\overline{AD}[/tex] is -1/2. Since the slopes of sides AB and CD and BC and AD are equal, it follows that [tex]\overline{AB} \parallel \overline{CD}[/tex] and [tex]\overline{BC} \parallel \overline{AD}[/tex]. Thus, ABCD is a parallelogram because it is a quadrilateral with two pairs of opposite congruent sides. However, we can also note that the slope of side AB is the negative reciprocal of that of sides BC, and thus [tex]\overline{AB} \perp \overline{BC}[/tex]. Using the fact that perpendicular lines form right angles, we can conclude that [tex]\angle ABC[/tex] is a right angle, and since ABCD is thus a parallelogram with a right angle, it must also be a rectangle.

Answer:

Answers will vary based on the method used, but the final slope-intercept form of the equation of A⁢B↔ will be the same.Let the equation of A⁢B↔ in slope-intercept form be y=m⁢x+d, where m is the slope and d is the y-intercept.The coordinates of points A and B are (1, 1) and (5, 3), respectively, so the slope of A⁢B↔ is m=yB−yAxB−xA=24=0.5.Substitute the value of m back in the equation:y = 0.5x + d.Substitute the coordinate of point A (1, 1) in the equation above, and solve for d: 1 = 0.5 + dd = 0.5.Therefore, the equation of A⁢B↔ is y = 0.5x + 0.5. To check whether C lies on A⁢B↔ substitute the x-coordinate of C into the right side of the equation: 0.5 (2.6) + 0.5 = 1.8.The result is equal to the y-coordinate of C. Thus, C satisfies the equation of A⁢B↔ which means that C lies on A⁢B↔.

Step-by-step explanation:

I did it

If the value of a is 7, b is 14 in the rhombus then the perimeter of the rhombus is equal to 31.3 units.

Given that the value of a is 7,b is 14.

We are required to find the perimeter of the rhombus.

The values which are given to us are of the lengths of diagonals of rhombus.

Perimeter of the rhombus is equal to 4 times the side of the rhombus. So in order to find the perimeter of the rhombus we need the side of the rhombus not the diagonals.

When we draw the diagonals in the rhombus it forms four right angled triangle in which the Base is equal to 7/2 units and 7 is the perpendicular.

We have to use pythagoras theorem to find the hypotenuse which is the side of the rhombus.

Suppose base is BC , perpendicular is AB and hypotenuse is AC.

AC=[tex]\sqrt{7^{2} +7/2^{2} }[/tex]

=[tex]\sqrt{49+49/4}[/tex]

=[tex]\sqrt{245/4}[/tex]

=7.826

Perimeter of rhombus=4*side

=4*7.826

=31.304

After rounding off it will be 31.3 units.

Hence if the value of a is 7, b is 14 in the rhombus then the perimeter of the rhombus is equal to 31.3 units.

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The matched answers are:

1. semicircle

2. central angle

3. Radius

4. Secant

5. center

6. tangent

7. diameter

8. minor arc

9. chord

10. major arc

A circle is the locus of points equidistant from a given point called the center of the circle.

A circle can be described if its radius and the center of the circle is known.

Analysis:

1. RCH  is called a semicircle when a diameter divides a circle into two equal parts, a part is called the semicircle.

2. ∠RAH is the central angle, because it is the angle subtended at the Center of the circle.

3. CA is the radius of the circle, a line drawn from the center to any point on the circumference of the circle.

4. MR is a secant, a line that cuts the circle into two parts.

5. A is the center of the circle.

6. MT is the tangent, because line MT touches the circle at a point T.

7. CH is the diameter of the circle, a line that divides the circle into two semi circles.

8. CT is the minor arc, the curved line that is found in the smaller part of the divided circle.

9. HT is chord, it is a line that divides the circle into two unequal parts.

10. CRH is  major arc, the curved line of the bigger portion of the divided circle.

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The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

A quadratic function is represented as:

y = a(x - h)^2 + k

Question #6

The vertex of the graph is

(h, k) = (-1, 2)

So, we have:

y = a(x + 1)^2 + 2

The graph pass through the f(0) = -2

So, we have:

-2 = a(0 + 1)^2 + 2

Evaluate the like terms

a = -4

Substitute a = -4 in y = a(x + 1)^2 + 2

y = -4(x + 1)^2 + 2

Question #7

The vertex of the graph is

(h, k) = (2, 1)

So, we have:

y = a(x - 2)^2 + 1

The graph pass through (1, 3)

So, we have:

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

Evaluate the like terms

a = 2

Substitute a = 2 in y = a(x - 2)^2 + 1

y = 2(x - 2)^2 + 1

Question #8

The vertex of the graph is

(h, k) = (1, -2)

So, we have:

y = a(x - 1)^2 - 2

The graph pass through (0, -3)

So, we have:

-3 = a(0 - 1)^2 - 2

Evaluate the like terms

a = -1

Substitute a = -1 in y = a(x - 1)^2 - 2

y = -(x - 1)^2 - 2

Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

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The margin of error of this poll is

Given that 230 people were asked if they liked dogs, and 90% said they did.

In a random sample, a margin of error is a statistical measure that takes into account the discrepancy between actual and expected results.

Sample size (N)=230

Sample proportion  [tex](\hat{p})[/tex] = 90% = 0.90  and

confidence interval = 99%

The critical value at 99% confidence interval with α=0.01 is

[tex]\begin{aligned}Z_{c}&=Z_{1-\frac{\alpha}{2}}\\ &=Z_{1-\frac{0.01}{2}}\\ &=Z_{0.995}\\ &=2.576\end[/tex]

This value is taken from the Standard normal distribution table.

Now, we will calculate the margin of error (E) by using the formula

[tex]E=Z_{c}\sqrt{\frac{\hat{p}(1-\hat{p})}{N}}[/tex]

Substituting the values in the formula, we get

[tex]\begin{aligned}E &=2.576\times \sqrt{\frac{0.90(1-0.90)}{230}}\\ &=2.576\times \sqrt{\frac{0.09}{230}}\\ &=2.576\times\sqrt{0.00039}\\ &=2.576\times 0.0197\\ &=0.0507\end[/tex]

Hence, the margin of error when 230 people were asked if they liked dogs, and 90% said they did is 0.0507.

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Answer:

14n^2.

Step-by-step explanation:

This is Arithmetic with first term a =  14 and common difference d =  28.

Sum of n terms = n/2[2a + (n-1)d]

= n/2(28 +( n -1)28]

= n/2(28 + 28n - 28)

= 14n^2

Answer:

14n²

Step-by-step explanation:

14 = 14 *1

42 = 14 *3

70 = 14 *5

28n -14 = 14*2n - 14 = 14*(2n -1)

14 + 42 + 70 + ........+(28n -14) = 14*1  + 14*3  + 14*5 + ....... + 14*(2n - 1)

                                               = 14 * (1 + 3 + 5 + ......+ (2n-1) )

                                               = 14 * n²

                                               = 14n²

1 + 3 + 5 + .... +(2n -1)  ->  sum of first 'n' odd numbers.

Formula for finding sum of first 'n' odd numbers  = n²

Answer: B

Step-by-step explanation:

When you evaluate f(-1)=2x^4+x^2-5 we will get -2 in basic notation (-1,-2). We need to find the root of the function to find the other roots or factors, where y=0.

Answer:

Vertical shift up 3

Horizontal shift to the right 2

Brainliest, please :)

Answer:

Step-by-step explanation:

f(x) is moved 2 units to the right followed by 3 units up,

The expression which is equivalent to 4x²√5x⁴ × 3√5x^8 is; 60x^8.

The expression given in the task content is; 4x²√5x⁴ × 3√5x^8.

Hence, upon evaluation of the product; we have;

= 12x²√25x¹².

= 60x^8.

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The margin of error is calculated using the formula, C. ME = z × s / √n.

The formula for finding the margin of error is given as: ME = z × s / √n, where we have the following:

ME = margin of error

z = z-score

s = population standard deviation

n = sample size

The margin of error is used to determine amount of error in a random sampling.

Thus, the formula is: C. ME = z × s / √n.

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(i) 57students liked at least one game.

(ii) 7 students who liked both the games.

(iii) 27 students liked football.

(iv) 37 students liked cricket.

(v) Below we represented the result in a Venn diagram.​

What is Venn diagram?

John Venn popularized the Venn diagram in the 1880s, which is a type of diagram that displays the logical relationship between sets. The illustrations are used in probability, logic, statistics, linguistics, and computer science to demonstrate basic set relationships and to teach rudimentary set theory.

Part (i)- We have to get number of people who like at least one game, there are total 75 students and only 18 did not like any of two games, so students who like at least one game are-

75-18 = 57

Part (ii)- There are 57 students who like at least one game, from the question statement we know that 20 students like football only and 30 liked cricket only, so student who like both games are-

57-20-30 = 7

Part (iii)- There are 7 students who liked both games and 20 who liked football only, so student who liked football are-

20+7 = 27

Part (iv)- There are 7 students who liked both games and 30 who liked cricket only, so student who liked cricket are-

30+7=37

Part (v)- Venn Diagram will look like-

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Complete Question- In a group of 75 students, 20 liked football only, 30 liked cricket only and 18 did not like any of two games? (i) How many of them liked at least one game? (ii) Find the number of students who liked both the games. (iii) How many of them liked football? (iv) How many of them liked cricket? (v) Represent the result in a Venn diagram.​

Answer:

B,C and E

Step-by-step explanation:

The period can be calculated by dividing 2pi by the coefficfient of the x, so in this case 1. And we'll get 2pi/1 = 2pi.

The function clearly has a minimum of -2, you can see that from the table.

Same thing for the maximum = 4.

Answer:

See Photo

Step-by-step explanation:

Plato/Edmentum

The equation of the line in slope intercept form is y = 7x - 2

The equation of the line can be solved with the following equation.

y = mx + b

where

Therefore,

m = -2  - 5 / 0 - 1 = -7 / -1

m = 7

Hence, using (1, 5)

y = 7x + b

5 = 7(1) + b

5 - 7 = b

b = -2

Therefore,

y = 7x - 2

Hence, the equation of the line in slope intercept form is y = 7x - 2

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The quantity of deciliters of apple juice a medium bottle contain is 10 deciliters

4s + 3l = 64

3s + 2l + 2m = 64

6s + 4m = 64

If

m = 10

s = 4

l = 16

Check:

3s + 2l + 2m = 64

3(4) + 2(16) + 2(10)

= 12 + 32 + 20

= 64

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Answer:

64

Step-by-step explanation:

if there 2 to begin with and the bacteria dobles every hour and there were 6 hours it would be 2⁶ and when you time 2 to the power of 6 you get 64

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

As per the given information ~

The given triangles are similar, so their corresponding sides should be in same ratio :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2x}{4} = \cfrac{5}{x - 3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{x}{2} = \cfrac{5}{x - 3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x(x - 3) = 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} - 3x = 10 [/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} - 3x - 10 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} - 5x + 2x - 10 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: x(x - 5) + 2(x - 5) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: (x + 2)(x - 5) = 0[/tex]

so, x = 5 or -2

but since side length can't be negative, we will take x = 5 neglecting the negative value (-2)

So, side lengths of unknown sides are :

[tex] \qquad \sf  \dashrightarrow \: {2x = 2 × 5 = 10 units} [/tex]

and

[tex]\qquad \sf  \dashrightarrow \: x - 3 = 5 - 3 = 2 \: \: units[/tex]

Answer:

26

Step-by-step explanation:

You want to know the value of x that makes y=1000. You can plug the equation in to your calculator or desmos. Look at the table for when y=1000. X is 26.

To check, plug in 26 for x. 26^2 + 20(26) - 196 = 1000.

Answer: 26 sales

Step-by-step explanation:

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

Answer: 225

Step-by-step explanation:

What is a square number?

A square number is a product of a number times itself

So, the 12th square number would be 12 * 12, or 12²

The 9th square number would be 9 * 9, or 9²

The equation would be 12² + 9²

So:

12² + 9²

= 144 + 81

= 225

So, the answer is 225

The average daily balance for the month was $84.21, and the finance charge for the month was $30.13.

Given that Sally's balance on her credit card is $75.00 on the first day of August, and she makes a payment of $18.00 on August 17 and a new purchase of $41.00 on August 29, and the annual interest rate is 21.25%, to determine what is Sally's average daily balance and finance charge for the month of August, the following calculation must be made:

Therefore, the average daily balance for the month was $84.21, and the finance charge for the month was $30.13.

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Answer: [tex]x^{16}y^{22}[/tex]

Step-by-step explanation:

[tex]\frac{(x^6 y^8)^3}{x^2 y^2}=\frac{x^{18}y^{24}}{x^2 y^2}=x^{16}y^{22}[/tex]

By the definition of similar polygons, the lengths of corresponding sides are proportional.

The proportion for [tex]x=40[/tex].

As it is given in the definition, similar polygons have congruent angles and proportional sides.

Therefore, by the definition of similar polygons, the lengths of corresponding sides are proportional.

Cross multiply and solve the proportion  [tex]x[/tex] as follows:

The blank should be proportional.

[tex]\frac{12}{8} =\frac{20+x}{x}\\ 12x=160+8x\\4x=160\\x=40[/tex]

Therefore, the proportion for [tex]x=40[/tex].

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