5. Consider a cylindrical flowerpot with a radius 6 cm and a height of 11.5 cm. Calculate the lateral surface area of the painted pot.

The solutions to f(x) = 64 is x = 7 and x = –7.

Solution:

Given data:

[tex]$f(x)=x^{2}+15[/tex] – – – – (1)

[tex]f(x)=64[/tex] – – – – (2)

To find the solutions to f(x) = 64.

Equate equation (1) and (2), we get

[tex]x^2+15=64[/tex]

Subtract 15 from both sides of the equation.

[tex]x^2+15-15=64-15[/tex]

[tex]x^2=49[/tex]

[tex]x^2=7^2[/tex]

Taking square root on both sides of the equation, we get

x = ±7

The solutions to f(x) = 64 is x = 7 and x = –7.

Answer:

A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.

Step-by-step explanation:

we have the inequality

[tex]11\leq y-43[/tex]

solve for y

Adds 43 both sides

[tex]11+43\leq y[/tex]

[tex]54\leq y[/tex]

Rewrite

[tex]y\geq 54[/tex]

In a number line the solution is the shaded area at right of y=54 (closed circle)

therefore

A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.

Answer:

Parallelograms and Rectangles

Sides: Both have 4

Angles: Both have 4 angles but a rectangle has right angles.

Relationship: A rectangle is a parallelogram but a parallelogram is not a rectangle.

Parallelograms and Squares

Sides: Both have 4

Angles: Both have 4 angles yet a square has 4 right angles

Relationship: A square is a parallelogram however a parallelogram is not a square.

Final answer:

A detailed explanation comparing properties of parallelograms and rectangles, as well as parallelograms and squares based on sides and angles.

Explanation:

Parallelograms and rectangles

Sides: In rectangles, opposite sides are equal, while in parallelograms, opposite sides are equal.

Angles: Rectangles have four right angles, whereas parallelograms do not necessarily have right angles.

Relationship: All rectangles are parallelograms, but not all parallelograms are rectangles.

Parallelograms and squares

Sides: In squares, all sides are equal, while in parallelograms, opposite sides are equal.

Angles: Squares have four right angles, whereas parallelograms do not necessarily have right angles.

Relationship: All squares are parallelograms, but not all parallelograms are squares.

The probability that the card is not yellow is [tex]\frac{5}{9}[/tex]

Solution:

The probability of an event is given as:

[tex]Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}[/tex]

From given,

A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards

Total number of possible outcomes = 8 + 8 + 2 = 18

Favorable outcome = card is not yellow

Favorable outcome = card is blue or green = 8 + 2 = 10

Therefore,

[tex]Probability = \frac{10}{18}\\\\Probability = \frac{5}{9}[/tex]

Thus the probability that the card is not yellow is 5/9

The probability that the chosen card is not yellow  =   [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Step 1 :

Given,

Number of blue cards in the box = 8

Number of yellow cards in the box = 8

Number of green cards in the box = 2

Hence total number of cards =  18

We need to find the probability that the chosen card is not yellow.

Step 2 :

Probability that the selected card is yellow = [tex]\frac{8}{18}[/tex] = [tex]\frac{4}{9}[/tex]  [since the favorable outcome = 8 and total outcome = 18]

Hence the probability of chosen card not being yellow  = 1 -  [tex]\frac{4}{9}[/tex] =  [tex]\frac{5}{9}[/tex]

Step 3 :

Answer :

The probability of chosen card not being yellow  =   [tex]\frac{5}{9}[/tex]

Option a:

sin A for the triangle is [tex]\frac{3}{5}[/tex].

Solution:

The given triangle is a right triangle.

The adjacent side to angle A is AC.

The opposite side to angle A is BC.

Hypotenuse is AB.

AC = 8, BC = 6 and AB = 10.

Using trigonometric ratio formulas,

[tex]$\sin \theta=\frac{\text { Opposite side }}{\text { Hypotenuse }}[/tex]

[tex]$\sin A=\frac{BC}{AB}[/tex]

[tex]$\sin A=\frac{6}{10}[/tex]

Divide both numerator and denominator by 2, we get

[tex]$\sin A=\frac{6\div2}{10\div 2}[/tex]

[tex]$\sin A=\frac{3}{5}[/tex]

Hence sin A for the triangle is [tex]\frac{3}{5}[/tex].

Option a is the correct answer.

Answer:

.

Step-by-step explanation:

The probability that the result is a multiple of 2 and a multiple of 3 is 1/9.

A fidget spinner is a toy that consists of a ball bearing in the center of a multi-lobed flat structure made from metal or plastic designed to spin along its axis with pressure.

Here,

Multiples of 3(3,6)

Multiples of 2(2,4,6,8)

Intersection (6)

Favorable outcome: 1

Total outcome: 9

The probability: 1/9

Learn more about Spinner:

https://brainly.com/question/3903294

#SPJ2

Answer:

x = 5

Step-by-step explanation:

Step 1:  Set y to 5 and z to 3

7x - 5(5) - 2(3) = 4

7x - 25 - 6 = 4

7x - 31 = 4

Step 2:  Add 31 to both sides

7x - 31 + 31 = 4 + 31

7x = 35

Step 3:  Divide both sides by 7

7x / 7 = 35 / 7

x = 5

Answer: x = 5

Answer:

(1,1)

Step-by-step explanation:

y > 4x - 5

We try the points in the inequality and see if they are true

(3,0)

0 > 4*3 - 5

0 > 12-5

0>7

False

(3,4)

4 > 4*3 - 5

4 > 12-5

4>7

False

(2,1)

1 > 4*2 - 5

1 > 8-5

0>3

False

(1,1)

1 > 4*1 - 5

0 > 4-5

0>-1

True

-12x + 5x

-7x

Hope this helps! ;)

Answer:

-7x

Step-by-step explanation:

If you add 5 to the -12, you get -7. All you have to do is put an x next to your answer.

i’m not sure but i think the function might be 75 + 8.50x=y

For this case we must factor the following expression:

[tex]-x ^ 2 + 2x + 35[/tex]

We take common factor -1, taking into account that [tex]- * - = +:[/tex]

[tex]-1 (x ^ 2-2x-35)[/tex]

We factor the expression within the parenthesis, for this we look for two numbers that, when multiplied, result in -35 and when added, result in -2. These numbers are -7 and +5.

[tex]-7 + 5 = -2\\-7 * 5 = -35[/tex]

Thus, the factored expression is:

[tex]((x-7) (x + 5))[/tex]

Finally we have:

[tex]- (x-7) (x + 5)[/tex]

Answer:

Option C

Answer:

4x + 12

Step-by-step explanation:

(x+3)×4

(x×4) + (3×4)

4x + 12

Answer:

4x + 12

Step-by-step explanation:

(x+3)×4

(x×4) + (3×4)

4x + 12

Answer:

bec we aree

Step-by-step explanation:

Answer:

1- After leaving C, I would travel to Buford.

2- After leaving Buford you can travel to either Athens or Dacula. Both rides cost the same so it doesn't matter which one you pick. I chose Athens.

3- The third city will be whichever option you didn't choose. For example because I chose Athens, I now have to travel to Dacula.

4- The total cost of the trip is $185

Step-by-step explanation:

I took the CR quiz and got a 100% I hope this helps :)

Answer:

median 8, interquartile range 13

Step-by-step explanation:

Answer:

b = 5

Step-by-step explanation:

Proof: 5^-1 = 1/5 | 5^0 = 1 | 5^1 = 5

Answer:

100.530964915 or 32π

Step-by-step explanation:

Area=πr^2

A=π8^2

A=π(64)

A=~201.062

divide by 2

answer is 100.530964915, not sure how you should round, but 100.5 is probably correct, or the full answer.

edit: i see that there is a pi symbol that u can use in ur answer, the correct answer would be 32π

please mark brainliest if correct, you get points for marking an answer as brainliest :)

Answer:

12

Step-by-step explanation:

4:1:1, from the ratio, you know that there are 6 in total (4+1+1)

so set up a proportion

(4/6) = (48/x)

so... (6 x 48) / 4 = x

x = 72, the total

now repeat to find the value for Pip

(1/6) = (x/72)

72 / 6 = 12

Final answer:

Paul, Fiona, and Pip share sweets in a 4:1:1 ratio. Paul's 4 parts amount to 48 sweets, so each part is 12 sweets. Consequently, Pip receives 12 sweets.

Explanation:

The student's question is asking how many sweets Pip would get if Paul, Fiona, and Pip share some sweets in the ratio 4:1:1 and Paul gets 48 sweets. To solve this, we'll need to break down the problem and figure out how many parts the total number of sweets is being divided into. Then, we'll calculate the number of sweets per part using the information given.

Since the ratio is 4:1:1, there are a total of 4 + 1 + 1 = 6 parts. Paul's share is 4 parts, and since Paul gets 48 sweets, each part is worth 48 sweets ÷ 4 parts = 12 sweets.

Both Fiona and Pip get 1 part each. So, since each part equals 12 sweets, Pip gets 12 sweets.

Answer:

[tex] y \: = \binom{ + }{ - } 8x[/tex]

Step-by-step explanation:

Working is shown in the picture.

the 6 is the 6  x's that is in the diagram

Answer:

The 6 is the 6x

Step-by-step explanation:

EQUATION: 25=2+6x, in the diagram there are 7 total boxes, one with a 2 in it, and the other 6 have x's.

Answer: 30

Step-by-step explanation:

Answer: 0.18

Step-by-step explanation:

18 hundredths means that if you divide something into one hundred equal parts, 18 hundredths is 18 of those parts that you just divided up. Since 18 hundredths is 18 over one hundred, 18 hundredths as a Fraction is 18/100. If you divide 18 by one hundred you get 18 hundredths as a decimal which is 0.18.

Answer:

.18

Step-by-step explanation:

I am a g at math ,if you search how to write eigteen hundredths as a decimal it will say the same answer

Answer: 79=8h +22

Step-by-step explanation: 79 total needed 8h equals 8 times her hourly earning plus 22 what she already haves should equal 79.

Final answer:

To find Moesha's hourly earnings for babysitting, we subtract the amount she already has ($22) from the total needed ($79) to calculate the amount she needs to earn ($57), and divide this by the number of hours she will babysit (8). This gives us the equation 8h = $57, which we solve by dividing both sides by 8, leading us to find that Moesha earns $7.125 per hour.

Explanation:

Moesha needs $79 for a class trip and already has $22. She will earn the remaining amount by babysitting for 8 hours. If we use h to represent Moesha's hourly earnings, we need to set up an equation that when solved, will find her hourly earnings. The total amount Moesha needs to earn from babysitting is $79 - $22, which equals $57. Since she is babysitting for 8 hours, we divide the total amount she needs to earn by the number of hours she will work: $57 ÷ 8 hours.

Putting this into an equation, we come up with 8h = $57. To find her hourly earnings, h, we divide both sides of the equation by 8, giving us h = $7.125 per hour. Therefore, Moesha will earn $7.125 for each hour of babysitting she does.

Answer:

b

Step-by-step explanation:

100 dollars  month

100

plus

100+

0.15 per text

100+15t

Answer:

[tex]y = 2x - 2[/tex]

Step-by-step explanation:

You have not attached the graph.

Assuming the graph function is the one shown in the attachment.

The equation is given by

[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]

where a=1 is the x-intercept and b=-2 is the y-intercept.

We substitute to get:

[tex] \frac{x}{1} + \frac{y}{ - 2} = 1[/tex]

[tex]2x - y = - 2[/tex]

or

[tex]y = 2x - 2[/tex]

Solution:

In Ms. Perron’s class, 40% of the students are boys

There are 10 boys in the class

Let "x" be the total number of students in Perron class

From given,

40 % of total students are boys

Therefore,

40 % of x = 10

[tex]\frac{40}{100} \times x = 10\\\\40x = 1000\\\\x = 25[/tex]

Thus total number of students in Ms. Perron’s class is 25

Answer:

x+2 1/8 = 7 2/3

Step-by-step explanation:

You write it the way it is said.

Answer:

n = -6

Step-by-step explanation:

Step 1:  Divide both sides by 4

4n / 4 = -24 / 4

n = -6

Answer:  n = -6