A scoop of ice cream in the shape of a whole sphere sits in a right cone The radius of the ice cream scoop is 3.0 cm and the radius of the cone is 3.0 cm
b. How tall must the height of the cone be to fit all the ice cream without spilling if it melts? show all your work​

Answers

Answer 1

d

the a. isn't part sorry

A Scoop Of Ice Cream In The Shape Of A Whole Sphere Sits In A Right Cone The Radius Of The Ice Cream

Related Questions

Use the given conditions to write an equation for the line in point-slope form and general form.
Passing through (-7,9) and parallel to the line whose equation is 7x - 4y - 9 = 0
The equation of the line in point-slone form is

Answers

Answer:

(y - 9) = 7/4(x + 7)

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope slopes.

The first line is 7x - 4y - 9 = 0.

First let's convert this to y = mx + b form.

7x - 4y - 9 = 0

Add 4y to both sides.

7x - 9 = 4y

Divide each term by 4.

y = 7/4x - 9/4

The slope is 7/4. A line parallel to this one will also have a slope of 7/4.

The standard point-slope form is:

(y - y₁) = m(x - x₁)

For the point-slope form, you need two things: a point and a slope.

point: (-7, 9)slope: 7/4.

Plug in our given information.

(y - 9) = 7/4(x - (-7))

Simplify.

(y - 9) = 7/4(x + 7)

Learn with another example.

https://brainly.com/question/26681302

Hope this helps!

Let's consider the information given:

line passes through (-7,9)line is parallel to 7x - 4y - 9 = 0

What do we want to solve: put the equation of the line in point-slope form

 ⇒ point-slope form ⇒ [tex]y-y_{0}=m(x-x_{0} )[/tex]

[tex](x_{0} ,y_{0} )[/tex] : any point on the linem: slope

 Find the slope of 7x - 4y = 9

              ⇒ first put it into slope-intercept form [tex]y = mx +b[/tex]

                         -where m is the slope and b is the y-intercept

                                 [tex]7x-4y-9=0\\7x-4y=9\\-4y=-7x+9\\y=\frac{7}{4}x-\frac{9}{4}[/tex]

               ⇒ Slope is 7/4

     2. When two lines are parallel, their two slopes are equal, and since

         the line passes through (-7,9), use point-slope form

                [tex]y-9=\frac{7}{4}(x+7)[/tex] <== point-slope form

What do we also want: find the general form ⇒ Ax + By = C

A: coefficient of xB: coefficient of yC: constant

To find the general form, move all the variables to one side and the  constant to the other, using the point-slope form

               [tex]y-9=\frac{7}{4}(x+7)\\ y-9=\frac{7}{4}x+\frac{49}{4} \\-\frac{7}{4}x+y=9+\frac{49}{4} =\frac{36}{4} +\frac{49}{4} =\frac{85}{4} \\-\frac{7}{4}x+y=\frac{85}{4}[/tex]<== general form

Hope that helps!

               

                         

Twice the difference of a number and 2 equals 5

Answers

2-2x=5

When something says twice a number it’s always going to be multiplied by 2 and “a number will always be a variable

9514 1404 393

Answer:

  2(x -2) = 5

Step-by-step explanation:

If x represents the number, then the difference of the number and 2 is ...

  x -2

Twice the difference is ...

  2(x -2)

"equals 5" means that product is equal to 5. The appropriate equation is ...

  2(x -2) = 5

_____

In case you want a solution ...

Dividing by 2, we get ...

  x -2 = 5/2

Adding 2 gives the value of the number:

  x = 2 +5/2 = 9/2

  x = 4 1/2

The number is 4 1/2.

Find a formula for the quadratic function whose graph has vertex (2,4) and y-intercept -3.

Answers

Answer:

[tex]y=-\frac{7}{4}x^2+7x-3\\[/tex]

Step-by-step explanation:

y - 4 = C(x - 2)²

y-intercept = -3, so x = 0, y = -3

-3 - 4 = C(2)²

so C = -7/4

[tex]y = -\frac{7}{4}(x-2)^2+4=-\frac{7}{4}(x^2-4x+4)+4=-\frac{7}{4}x^2+7x-7+4\\y=-\frac{7}{4}x^2+7x-3\\[/tex]

A quiz consists of 20 multiple-choice questions, each with 4 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 70 %.

Answers

1/80 to get everything right 7/800 to get 70% right

What Is -5 1/2 x -1 1/8

Answers

Answer:✨

-6 3/16

✨Step-by-step explanation:✨

-5 1/2 x -1 1/8 = ?

Convert mixed numbers into improper fractions

-11/2 x -9/8 = -99/16 = -6 3/16

The lunch lady pushes a 100 kg zombie with 300 N of force. How much is the zombie accelerated? How do you solve is is division or multiplication

Answers

Step-by-step explanation:

Use Newton's second law.  Force equals mass times acceleration.

F = ma

300 N = (100 kg) a

a = 3 m/s²

Aanya bought 2 1/2 yards of ribbon. She cuts the ribbon into pieces 3/8 of a yard in length. How many pieces does she have?​

Answers

If you convert 1/2 to the denominator of 8, you would get 4/8. Meaning you have 2 4/8 yards of ribbon cut into pieces of 3/8. Aanya would have 6 pieces of ribbon with 2/8 left over. Hope this helps.

ANYONE I NEED HELP ASAP!!!!!

Answers

ok so i don’t really know but i hope you find the answer

A vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile. If the total cost of hiring a vehicle on one occasion is 170, how many miles were driven

Answers

Answer:

85

Step-by-step explanation:

Because 170 divided by 2.

The number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.

Let x be the total number of miles:

From the question:

y be the total cost of hiring

y = 20 + 2x

y = 170

170 = 20 + 2x

150 = 2x

x = 150/2

x = 75 miles

Thus, the number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.

Learn more about the linear equation here:

brainly.com/question/11897796

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According to a Los Angeles Times study of more than 1 million medical dispatches from to , the response time for medical aid varies dramatically across Los Angeles (LA Times website, November 2012). Under national standards adopted by the Los Angeles Fire Department, rescuers are supposed to arrive within six minutes to almost all medical emergencies. But the Times analysis found that in affluent hillside communities stretching from Griffith Park to Pacific Palisades, firefighters failed to hit that mark nearly of the time. The following data show the response times, in minutes, for emergency calls in the Griffith Park neighborhood.

11.8 10.3 10.7 10.6 11.5 8.3 10.5 10.9 10.7 11.2

Based on this sample of ten response times, compute the following descriptive statistics:
a. Mean, median, and mode
b. Range and standard deviation
c. Should the response time of 8.3 minutes be considered an outlier in comparison to the other response times?

Answers

Answer:

A)Mean :10.65

Median =10.7

Mode : 10.7

B)Range = 3.5

Standard deviation :0.89916

C)The response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Step-by-step explanation:

A)

Data : 11.8 ,10.3, 10.7, 10.6, 11.5, 8.3, 10.5, 10.9, 10.7, 11.2

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{11.8 +10.3+ 10.7+ 10.6+ 11.5+ 8.3+ 10.5+ 10.9+ 10.7+ 11.2}{10}[/tex]

Mean = 10.65

Median: The mid value of the data

Data in ascending order

8.3

10.3

10.5

10.6

10.7

10.7

10.9

11.2

11.5

11.8

n=10(even)

[tex]Median = \frac{(\frac{n}{2})\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}\\Median = \frac{(\frac{10}{2})\text{th term}+(\frac{10}{2}+1)\text{th term}}{2}\\Median = \frac{10.7+10.7}{2}\\Median = 10.7[/tex]

Mode : the most occurring frequency

10.7 is occurring twice while others are occurring once

So, Mode is 10.7

B) Range = Maximum - Minimum=11.8-8.3=3.5

Standard deviation : [tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}[/tex]

Standard deviation :[tex]\sqrt{\frac{(11.8-10.65)^2+(10.3-10.65)^2+......+(10.9-10.65)^2+(10.7-10.65)^2+(11.2-10.65)^2}{10}}[/tex]

Standard deviation :0.89916

C)

8.3

,10.3

,10.5

,10.6

,10.7

,10.7

,10.9

,11.2

,11.5

,11.8

For Q1 ( Median of lower quartile )

8.3

,10.3

,10.5

,10.6

,10.7

[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=10.5[/tex]

For Q3( Median of Upper quartile )

10.7

,10.9

,11.2

,11.5

,11.8

[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=11.2[/tex]

IQR = Q3-Q1=11.2-10.5=0.7

Range :(Q1-1.5IQR, Q3-1.5IQR)

Range :[tex](10.5-1.5 \times 0.7, 11.2-1.5 \times 0.7)[/tex]

Range :(9.45, 10.15)

8.3 does not lie in this interval

So, the response time of 8.3 minutes should be considered an outlier in comparison to the other response times

What is the value of the expression shown? 10 - 16 + 2

Answers

Answer:

-4

Step-by-step explanation:

First we combat the 10 - 16 so we get - 6

Then we fight the -6 and the 2 to get -4

The value of this fight was -4 :)

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!!


Determine if 0.0590222222222222... is rational or irrational and
give a reason for your answer.

Answers

Answer:

Rational

Step-by-step explanation:

It can be represented as a fraction.

332/5625

0.0590222222222222... is a rational number.

We have,

0.0590222222222222.......

We need to determine whether this number is rational or irrational.

What are rational numbers and irrational numbers?

A rational number is a number that can be written in p/q form where q≠0.

Some rational numbers are terminating.

Example: 45/2 = 22.5

Some rational numbers are recurring numbers.

Example: 556/3 = 185.33333333333...

The irrational number are those numbers that are non-terminating and non-recurring.

Example: 22/7 = 3.14285714285.....

We have,

0.0590222222222222......

Where 2 is recurring.

So it is a rational number.

Thus 0.0590222222222222... is a rational number.

Learn more about rational and irrational numbers here:https://brainly.com/question/17450097

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look at the picture pleaseeeee

Answers

Step-by-step explanation:

the answer is in the picture

Find cos(A) and tan(A)

Answers

Choice C

Hope this helps.

What is the value of x?
3
4
5
6

Answers

Answer:

x=3

Step-by-step explanation:

2×0.05=0.1

0.09x ÷ 0.09 = 1

2+x = 2+1 = 3

HENCE 3 IS THE ANSWER

I need help with pre algebra 8th grade ​

Answers

Answer:

ok whats the problem

Step-by-step explanation:

Step-by-step explanation:

um were is the question



68-95-99.7 Rule
So
LEARNING OBJECTIVE: Identify the percent of data that is between two values
using a given standard deviation, mean, and the 68-95-99.7 rule.
68
At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50
with a standard deviation of $0.10.
Assuming the data is normally distributed, approximately what percent of
customers are willing to pay between $1.30 and $1.70 for a pint of frozen
yogurt?
T

Answers

9514 1404 393

Answer:

  95%

Step-by-step explanation:

The given limits differ from the mean by ...

  1.30 -1.50 = -0.20

  1.70 -1.50 = 0.20

These values are 2 × the standard deviation of 0.10. The 68-95-99.7 rule tells you that 95% of the population lies within 2 standard deviations of the mean.

For this question, that means 95% of customers are willing to pay between $1.30 and $1.70.

PLEASE HELP...


Write an iterated integral of a continuous function f over the region. Use the order dy dx.
R is the triangular region with vertices ​(0​,0​), ​(0​,15​), and ​(5​,0​).

(I just need the double iterated integral no solving necessary)
THANK YOU!!

Answers

Answer:

[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]

========================================================

Explanation:

We're tasked to find the values of a,b,c,d in the following

[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]

The equation of the line through the points (0,15) and (5,0) is y = -3x+15

When picking a particular fixed x value, the y values span from y = 0 to y = -3x+15 which determines the bounds of integration for the inner integral.

So this means c = 0 and d = -3x+15

The values of a,b are much easier and they are a = 0 and b = 5 to represent the x coordinates of the left-most and right-most points.

-----------------

Since,

a = 0b = 5c = 0d = -3x+15

we go from this

[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]

to this

[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]

Without knowing what f(x,y) is, we cannot compute the integral. Luckily it seems like your teacher is only interested in setting up the integral rather than computing its numeric value.

Find the value of x

A. 25°
B. 85°
C. 75°
D. 105°

Answers

Answer:

75⁰ Please refer to the picture above for the answer

My father’s monthly salary is twice what my mother makes in a month. Their combined salary is P27,000


Please help !

Answers

Step-by-step explanation:

mother salary: x

father salary:2x

total salary =27000

therefore 3x=27000

so x=900 (divided by 3)

therefore mother salary = 900

father salary=2multiplied by 900=1800

Answer:

Father's monthly salary is P18,000

Mother's monthly salary is P9,000

Step-by-step explanation:

The problem above can be solved by using "algebraic expressions."

Let x be the father's monthly salary

Let y be mother's monthly salary

Formula: x + y = P27,000

If father's monthly salary is twice than what mother makes, then: x = 2y, which means,

2y (father's salary) + y (mother's salary) = P27,000

First step: 2y + y = P27,000

Second step: 3y = P27,000

Third step: y = [tex]\frac{P27,000}{3}[/tex]

Fourth step: y = P9,000

So, mother's salary is P9,000. This means we can get father's salary:

2y = 2 × P9,000 = P18,000 (this is the value of x)

So, father's salary is P18,000.

If we combine both of their salaries, the product is P27,000.

x + y = P27,000

P18,000 + P9,000 = P27,000

So, this explains the answer.

(30 pts.) I have the answer I just need someone to show me the steps, please!

Which bowl holds more water if it is filled to a depth of four​ units?
The hyperboloid z= √(1+x^2+y^2) for 1≤ z ≤ 5
The answer is: The hyperboloid holds more water with a volume of [112π/3]

I just need an explanation!!
5 stars and marked the brainiest if the explanation is done well!!

Answers

paraboloid: v = ∫[0,4]πz dz = 8π cone:

v = ∫[0,4]πz^2 dz = 64/3 π

hyperboloid: v = ∫[1,5]π(z^2-1) dz = 112/3 π


 when you see that the cone's radius at the top of the water is √8, while the paraboloid's is only 2.


hope it helps.

Factor the expression,
x^2 + 7xy - 44y^2

Answers

Answer:

(x + 11y)(x - 4y)

Step-by-step explanation:

-44 = 11*(-4)

11 + (-4) = 7

so x² + 7xy - 44y² = (x + 11y)(x - 4y)

The discount on a floor lamp is 20% off it is on sale for $17 what is the original price of the floor lamp

Answers

Answer:

$21.25

Step-by-step explanation:

x - x(0.20) = 17

0.8x = 17

x = 21.25

A rare book was offered for sale in 2018 for $800. Because it was so rare, in increased in value by 10% in 2019. It increased in value again in 2020 this time by 20%. If you know how percentages work, you know that it increased by MORE than 30% in this time period. By what percent did it increase over the 2 year period?

Answers

Answer:

32%

Step-by-step explanation:

too lazy to type it out.

Answer:

32%.

Step-by-step explanation:

Value in 2019 = 800 + 10% of 800

= 800 + 0.1*800

=  $880.

In 2020 , value

=  880 + 0.2*880

=  $1056.

Increase in value over 2 years = 1056 - 800 = $256.

% increase = 100 * 256/800

= 32%.

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Since this is a quadrilateral (4-sided polygon). The sum of interior angles has to be equal to 360.

Let x be the missing angle:

[tex]x + 105 + 113 + 75 = 360[/tex]

[tex]x + 293 = 360[/tex]

[tex]x = 360 - 293[/tex]

[tex]x = 67[/tex]

As we know that, for any shape with sides n, the sum of all it's interior angles is (n - 2) × 180°, so as the Shape ABCD is a quadrilateral with 4 sides, so sum of it's all interior angles is just going to be (4 - 2) × 180° = 2 × 180° = 360°, so if we assume the missing angle be [tex]\bf \angle A[/tex], by using the sum property we will be having ;

[tex]{:\implies \quad \sf \angle A+105{\degree}+113{\degree}+75{\degree}=360{\degree}}[/tex]

[tex]{:\implies \quad \sf \angle A+293{\degree}=360{\degree}}[/tex]

[tex]{:\implies \quad \sf \angle A=360{\degree}-293{\degree}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\angle A=67{\degree}}}}[/tex]

Please help asap! I will gave brainlest!

Answers

Answer:

[tex]\frac{2\pi}{3}, \: \: \frac{5\pi}{3}[/tex]

Step-by-step explanation:

[tex] \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{3\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{2\pi}{3} \bigg)\\ \\\implies \huge \red{\theta = \frac{2\pi}{3}} \\ \\ \\ \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(2\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{6\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{5\pi}{3} \bigg)\\ \\\implies \huge \orange{\theta = \frac{5\pi}{3}} \\ \\ \huge \: \purple { \boxed { \bold\theta = \frac{2\pi}{3}, \: \: \frac{5\pi}{3} }}[/tex]

This is the answer hope it helps

what is the slope of a line parallel 18x+15y=90

Answers

Answer:

-6/5

Step-by-step explanation:

Get y by itself to get the slope. So 18x+15y=90. Move 18x to the other side of the equation. Now you have 15y=-18x+90. Divide both sides by 15 to get y by itself. Now it's y= -18/15x + 6. Reduce -18/15 to the simplest fraction. You have y= -6/5x+6. Any number can replace the 6 in the equation to give you a parallel line...it's the slope that makes it parallel, not the y intercept. So y= -6/5x+10 or y=- -6/5x-1 would satisfy your parallel slope equation.

Answer:

[tex]\displaystyle -1\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\displaystyle 18x + 15y = 90 \hookrightarrow \frac{15y}{15} = \frac{-18x + 90}{15} \\ \\ \boxed{y = -1\frac{1}{5}x + 6}[/tex]

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so −1⅕ remains as is.

I am joyous to assist you at any time.

Which inequality is represented by the graph?


A. y −3/2x−2

D. y≤−3/2x−2

Answers

Answer:

D.)

Step-by-step explanation:

Help meeeee pleaseeeeee

Answers

C=(pi)*d
C=(3.14)*(12)

C= 37.68cm

Answer:

37.68 centimeters

Step-by-step explanation:

The circumference of a circle can be found by using the formula πd, where d = diameter. We're given the diameter as 12 centimeters, and we're going to use 3.14 for pi.

3.14 × 12

37.68

Therefore, the answer is 37.68 cm.

Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)

Hello can someone please answer this question i will mark you the Brainliest

Answers

Answer:

2(L ×W) +2(L×H)+2(W×H)

Step-by-step explanation:

find the answer of that

Answer:

180 cm 2

Step-by-step explaination:

2 ( lxw) + 2(lxh) + 2(wxh)

40 + 40 + 100

180

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