Janelle is painting a spherical model of a human cell for a science fair. She uses 615.44 square inches of paint to
evenly cover the outside of the cell with one coat of paint. What is the diameter of the cell model? (Use 3.14 for the
value of n.)
7 in.
8 in.
14in
16in

Answers

Answer 1

The diameter of the cell model according to the taks content is; 14in.

Diameter of the cell model

Volume of paint = 615.44 square inches

π = 3.14

Volume of a sphere = 4πr²

615.44 = 4 × 3.14 × r²

615.44 = 12.56/r²

r² = 615.44 ÷ 12.56

r² = 49

r = 7

Hence, the diameter of the cell is; 2 × r = 2 × 7 = 14in.

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Related Questions

Which graph represents the solution of x² + y² < 25 and y² <6x?

Answers

The graph is shown below

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

As, the equation x² + y² < 25 represents equation of circle.

So, the graph will be of the form circle.

and,  y² <6x is the equation to represent parabola

So, the graph will represent a parabola.

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HELPP
Simplify the expression 6^3+ 5(4 − 2).

28
36
226
234

Answers

Answer:

BODMAS

[tex] {6}^{3 } + 5(4 - 2) = 216 + 5(2) \\ = 216 + 10 \\ = 226[/tex]

Answer: Answer is 226

Step-by-step explanation: Do math

Question 12 of 25
Which of the following values are in the range of the function graphed below?
Check all that apply.
A. -5
B. 3
C. 2
☐D. O
E. 1
F. -3
5

Answers

1 is the values are in the range of the function graphed below. Option E is corect.

What is the difference between domain and range?

The domain denotes all potential x values, while the range denotes the domain's possible y values.

The domain is the value of x which lies between the -2 ≤ x  ≤ 1.While the range shows the value of y which is equal to  1.

Hence, option E is correct

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the sum of the 10th and 11th terms of an arithmetic sequence is 65 what is the sum of its first 20th terms​

Answers

Answer:

this is the answer

Step-by-step explanation:

a 65

b 650

c 52

d 3

can disjunction introduction (either ∨il or ∨ir ) be used to derive any type of formula other than a disjunction?

Answers

It is impossible to use a disjunction introduction to derive any other type of formula besides disjunctive formulas.

What is Disjunction Introduction?

A rule of inference in propositional logic and virtually every other deduction system is referred to as disjunction introduction.

It is right to state that it is not possible to use a disjunction introduction to derive any other type of formula besides disjunctive formulas.

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Someone help me with this math word questions

Answers

2) The three ways of naming an angle are by the letter at the vertex, by placing a number or variable inside the angle, or by two letters with the vertex letter placed in the middle.

3) [tex]\angle WXY, \angle YXZ, \angle WXZ[/tex]

4) [tex]X[/tex]

Factorise x³ + 2x I can't understand this please give me the answer​

Answers

Answer:

[tex]x(x^2+2)[/tex]

Step-by-step explanation:

Since x is the only common term, you factor that part out using the distributive property.

Solution:

Detailed explanation:

Hii! Let's factorise this expression!

Did you see that both terms, x^3 and 2x, have an x in common? That's what we are going to factor out, by dividing x^3 and 2x by x.

x^2+2 is what we obtain.

Now, this can't be the end of the process. We also need to put parentheses around x^2+2.

(x^2+2)

Next we put that x we factored out a short while ago outside the parentheses.

x(x^2+2). Did you get it?

________

Hope I helped, best wishes & happy studies!
Please reach out if any queries arise. Thankyou!!

_______

Find the length of side AB.
Give your answer to 3 significant figures.

Answers

Answer:

[tex]\huge\boxed{\sf AB = 8.86 \ cm}[/tex]

Step-by-step explanation:

Given:

θ = 41°

Hypotenuse = BC = 13.5 cm

Required:

opposite = AB = ?

We will use the trigonometric ratio of sin.

Solution:

[tex]\displaystyle sin \ \theta = \frac{opposite }{hypotenuse} \\\\sin \ 41=\frac{AB}{13.5} \\\\0.656 = \frac{AB}{13.5} \\\\0.656 \times 13.5 = AB\\\\8.86 \ cm = AB\\\\\boxed{ AB = 8.86 \ cm}\\\\\rule[225]{225}{2}[/tex]

If the proportion of the total disposable income spent on consumer goods and services is 93 percent and if
consumers spend 85 percent of each additional dollar, what is
a. the apc?
b. the aps?
c. the mpc?
d. the mps?

Answers

Answer:

what?????????????????


Write an equation for each translation of y=|x|
13 units down

y-13= |x|
y=1x1-13
y=1-13x1
y=1x1+13

Answers

The answer is y=|x|-13.

Answer:

y=|x|-13

Step-by-step explanation:

Lewis has a net spendable income of $2,000 per month. He sets up the following transportation budget for himself.

3. Transportation (15% - 20%) 400
a. Car payments 210
b. Gas/Oil 120
c. Insurance 60
d. License/Registration 8
e. Taxes 2
f. Maintenance/Repair
What has Lewis done wrong?

Answers

What Lewis did wrong was that; He budgeted more than the maximum recommended amount of money for transportation.

How to budget effectively?

We are given;

Net spendable income = $2,000 per month

Now, we see how much he has budgeted for other items such as Car payments, Gas/Oil, Insurance, License/Registration, Taxes, Maintenance/Repair.

Now, from the recommended transportation budget of between 15% - 20% of the  net spendable income, we can see that he would likely spend more than that if we add the cost of maintenance and repair.

Thus, what Lewis did wrong was that he budgeted more than the maximum recommended amount of money for transportation.

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Answer:

Step-by-step explanation:

Answer:

A. He budgeted more than the maximum recommended amount of money for transportation. PLATO (Im 100% sure

PLEASE HURRY WILL GIVE POINTS AND BRAINLYEST TO FIRST RIGHT!!!

Answers

Answer:

(0, 4) and (-1, 0)

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}y=2x^2+6x+4\\y=-4x^2+4\end{cases}[/tex]

Solve by substitution

Substitute the first equation into the second:

[tex]\implies 2x^2+6x+4=-4x^2+4[/tex]

Add 4x² to both sides:

[tex]\implies 2x^2+6x+4+4x^2=-4x^2+4+4x^2[/tex]

[tex]\implies 6x^2+6x+4=4[/tex]

Subtract 4 from both sides:

[tex]\implies 6x^2+6x+4-4=4-4[/tex]

[tex]\implies 6x^2+6x=0[/tex]

Factor out 6x from the left side:

[tex]\implies 6x(x+1)=0[/tex]

Therefore:

[tex]\implies 6x=0 \implies x=0[/tex]

[tex]\implies x+1=0 \implies x=-1[/tex]

To find the y-coordinates of the found x-values, substitute the found values of x into one of the equations:

[tex]x=0 \implies -4(0)^2+4=4 \implies (0,4)[/tex]

[tex]x=-1\implies -4(-1)^2+4=0\implies (-1,0)[/tex]

Therefore, the solutions to the system of equations are:

(0, 4) and (-1, 0)

Answer:

Solutions:

a) x = 0, y = 4 ⇒ (0, 4)

b) x = -1, y = 0 ⇒ (-1, 0)

Step-by-step explanation:

Given system of equations:

a) y = 2x² + 6x + 4

b) y = -4x² + 4

1. Substitute the value of y in the second equation into the first equation:

⇒ -4x² + 4 = 2x² + 6x + 4

2. Solve for x:

⇒ -4x² + 4 = 2x² + 6x + 4 [subtract 4 from both sides]

⇒ -4x² + 4 - 4 = 2x² + 6x + 4 - 4

⇒ -4x² = 2x² + 6x [subtract 2x² from both sides]

⇒ -4x² - 2x² = 2x² - 2x² + 6x

⇒ -6x² = 6x [subtract 6x from both sides]

⇒ -6x² - 6x = 6x - 6x

⇒ -6x² - 6x = 0 [factor out -6x from the equation]

⇒ -6x(x + 1) = 0

Two cases:

a)

⇒ -6x = 0 [divide both sides by -6]        

⇒ -6x ÷ -6 = 0 ÷ -6

x = 0

b)

⇒ x + 1 = 0 [subtract 1 from both sides]

⇒ x + 1 - 1 = 0 - 1

x = -1

3. Find the value of y by substituting the found x values into one of the given equations:

a) x = 0:

⇒ y = -4x² + 4

⇒ y = -4(0)² + 4

⇒ y = -4(0) + 4

⇒ y = = 0 + 4

⇒ y = 4

coordinate: (0, 4)

b) x = -1:

⇒ y = -4x² + 4

⇒ y = -4(-1)² + 4

⇒ y = -4(1) + 4

⇒ y = -4 + 4

⇒ y = 0

coordinate: (-1, 0)

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ve questions from this section 18 A bus left Nairobi at 8.00am and traveled towards Busia at an average speed of 80km/hr. At 8.30 am a car left Busia for Nairobi at an average speed of 120km/hr. Given that the distance between Nairobi and Busia is 400km. ve questions from this section 18 A bus left Nairobi at 8.00am and traveled towards Busia at an average speed of 80km / hr . At 8.30 am a car left Busia for Nairobi at an average speed of 120km / hr . Given that the distance between Nairobi and Busia is 400km ​

Answers

The time that the bus arrived Busia is given as 1.00 pm

How to solve for the time of arrival

The formula with which to solve for the time is given as

D/s = distance / by the speed.

Distance = 400km

Speed = 80km/hr

Time = 400/80

= 5 hours

Therefore the time of arrival from 8.00 am would be 1.00pm

Complete question

A bus left Nairobi at 8.00am and traveled towards Busia at an average speed of 80km / hr . At 8.30 am a car left Busia for Nairobi at an average speed of 120km / hr . Given that the distance between Nairobi and Busia is 400km ​

Calculate The time the car arrived in Busia

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There are 7 pieces of pie left over in the cafeteria l. If 5 pieces are apples and 2 are cherry, what fraction of the remaining pieces are cherry?

Answers

Answer:

2/7

Step-by-step explanation:

To find the fraction that are cherry, take the number that are cherry and put that over the total number of pieces

2 cherry

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

7 total

The fraction that are cherry are 2/7

A student begins a proof of the law of cosines. His work is shown.

(image below)


The student made an error in ___. To correct this error, he should ___.

After correcting this error, the student can use the ___ to relate sides x, y, z, and angle ___.


1st blank answers:

a, step 1

b, step 2

c, step 3


2nd blank answers

a, define side AY in terms of angle X

b, define side XY in terms of angle X

c, define side AX in terms of angle Y


3rd blank answers

a, tangent function

b, law of sines

c, Pythagorean theorem


4th blank answers

a, Z

b, X

c, Y

Answers

The student made an error in step 3. To correct this error, he should define side AY in terms of angle X. Pythagorean theorem relates sides x, y, z, and angle X

The law of cosine.

In Trigonometry, law of cosine (cos) is given by this mathematical expression:

cosθ = Opp/Hyp

Where:

Opp is the opposite side of a right-angled triangle.Hyp is the hypotenuse of a right-angled triangle.θ is the angle.

In this scenario, we can logically deduce that the student made an error in step 3. To correct this error, he should define side AY in terms of angle X.

After correcting this error, the student can use the Pythagorean theorem to relate sides x, y, z, and angle X.

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Which algebraic expression is a trinomial?

Answers

Answer:

?

Step-by-step explanation:

because there is no picture or option

8 1/2 - 3/8=?
pls answer fast ​

Answers

Answer:

65/8

Step-by-step explanation:

1) Turn all numbers into improper fractions: 17/2 - 3/8 = ?

2) Make all denominators the same number by finding the least common factor, which is 8. Multiply the denominator in 17/2, which is 2, by 4 to match the other denominator. And then multiply the numerator (17) by 4 as well so that the fraction still has the same value: 68/8 - 3/8 = 65/8

3) Can not simplify since there are no common factors between 65 and 8.

Find the accumulated amount of an account if the principal amount was 5000 at 16% interest at the end of 3 years

Answers

Answer:

2400

Step-by-step explanation:

Find the accumulated amount of an account if the principal amount was 5000 at 16% interest at the end of 3 years

Solution

The formula for simple interest

S.I = P *R* T/100

Where P = Principal = 5000

           R = Rate = 16%

           T = Time = 3 years

 5000 * 16 * 3/100

 50 * 16 * 3

  = 2400.

Is this pattern a net for the three-dimensional figure?



no

yes

Answers

Answer:

no

Step-by-step explanation:

the bet displays 3 hexagonal bases when in the figure there is only 2 bases.

Answer:

No.

Step-by-step explanation:

Examples of three-dimensional figures are: Cuboid, Cube, Cylinder, Sphere, Pyramid, and a Cone.

which expression is in simplest form?

Answers

Answer:

A.

Step-by-step explanation:

let me know if you want an explanation :))

D

Explain: it has simple letters and simple expression with simplest answer

Find the midpoint of the line segment with end coordinates of:
(-1,7) and (3,-2)

Give coordinates as decimals where appropriate.

Answers

Answer:

(1,2.5)

Step-by-step explanation:

On the graph, the (-1,7) lies in the top right grid. The (3,-2) lies in the bottom left grid. If you use a graphing calculator, the middle is hard to find but you will find (1, 2.5) or (1, 5/2).

5/8 divided by 15/32

Answers

Answer: [tex]\frac{4}{3}[/tex] or about 1.333

Step-by-step explanation:

    We will use the "keep, change, flip" method to solve. Keep the first number the same, change the division to multiplication, and flip the second number so we have the reciprocal.

[tex]\displaystyle \frac{\frac{5}{8} }{\frac{15}{32} } \,\,\,\,\text{ becomes } \,\,\,\,\frac{5}{8} *\frac{32}{15} =\frac{5*32}{8*15} =\frac{160}{120} =\frac{4}{3}[/tex]

Answer: 4/3

Step-by-step explanation:

find the reciprocal of the divisor

15/32

32/15

Now multiply it with the dividend

5/8

15/32

=5/8

32/15

=5/32

8/15

=160/120

after reducing the fraction the answer is 4/3

in mix form 1 1/3

given, what are the domain and range?

Answers

Factor the rational function,

.

.

.

.

Notice that the denominator and numerator both have x-1. This means that we have a removable discontinuity there so set x-1=0.

.

.

So our domain can be all reals except 1.

Range: First factor out the x-1. We will be left with

.

Since 1 isn't in the domain, plug in 1 to find the what won't be in the range

.

So 7 isn't in the range,

End Behavior:

Since the rational function numerator is a quadratic and the denominator is a linear function, the rational function will approach will not have a horizontal asymptotes.

if 9^x=25, what does 3^x equal?

Answers

Answer:

[tex]3^x=5[/tex]

Step-by-step explanation:

Given:

[tex]9^x=25[/tex]

Rewrite 9 as 3²:

[tex]\implies (3^2)^x=25[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 3^{2x}=25[/tex]

Apply the same exponent rule:

[tex]\implies (3^x)^2=25[/tex]

Square root both sides:

[tex]\implies \sqrt{(3^x)^2}=\sqrt{25}[/tex]

[tex]\implies 3^x=5[/tex]

describe the effect of the transformation (x,y) to (x,y+4)

A. vertical stretch without reflection
B. horizontal translation of 4 units
C. vertical stretch with reflection
D. Vertical translation of 4 units ​

Answers

The answer to this is A.

What are the solutions to the following system of equations?
y = x² + 7x - 5
2x - y = -9

Answers

Answer:

x= -7, y= -5 and

x= 2, y= 13

This may also be written as (-7, -5) and (2, 13).

Step-by-step explanation:

Start by labelling the two given equations:

y= x² +7x -5 -----(1)

2x -y= -9 -----(2)

Let's solve by substitution!

Making y the subject of formula in equation (2):

From (2): y= 2x +9 -----(3)

Substitute (3) into (1):

2x +9= x² +7x -5

x² +7x -5 -2x -9= 0

x² +5x -14= 0

Factorise:

(x +7)(x -2)= 0

x +7= 0 or x -2= 0

x= -7 or x= 2

Find the respective values of y.

Substitute into (1):

y= (-7)² +7(-7) -5 or y= (2)² +7(2) -5

y= 49 -49 -5 or y= 4 +14 -5

y= -5 or y= 13

Thus, the solutions are (-7, -5) and (2, 13).

ZY = 34, WY = 38, and m/ZXY = 34° find WZ

Answers

The value of the WZ will be 28.18. The given figure is quadrilateral.

What is the definition of geometry?

It is concerned with the geometry, region, and density of various 2D and 3D shapes.

In ΔZXY

∠Z+∠X+∠Y=180

∠Z+34°+90°=180°

∠Z = 56°

In Δ WZY

sin Θ = WZ/ZY

sin 56° = WZ/34

WZ= 28.18

Hence, the value of the WZ will be 28.18.

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The side WZ = 30.4.

What are alternate angles?

The angles which lie on the alternate side of the line between two parallel lines.

Given a geometry in which ZY = 34, WY = 38, and ∠ZXY = 34°

In this geometry, opposite sides are equal.

WZ = XY and WX = ZY.....................(1)

The diagonal are perpendicular to each other.

∠XVY = 90°

Diagonal form four right angle triangles. Take ΔXVY

VY = WY/2

VY = 38/2

VY = 17

Using trigonometric property,

sin X° =  VY / XY

sin 34° = 17/XY

XY = 30.4

From equation 1, we have

WZ = 30.4

Thus, the value of WZ is 30.4.

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DF=
Help me please:))​

Answers

Answer:

[tex]\fbox {DF = 20}[/tex]

Step-by-step explanation:

Given :

ΔSDF ~ ΔRTY = 4 : 9 (Ratio of similitude)SF = RT - 2TY = RY + 9SD = 8

Step 1 : Find RT

SD : RT = 4 : 98 : RT = 4 : 9RT = 18

Step 2 : Find SF

SF = RT - 2SF = 18 - 2SF = 16

Step 3 : Find RY

SF : RY = 4 : 916 : RY = 4 : 9RY = 36

Step 4 : Find TY

TY = RY + 9TY = 36 + 9TY = 45

Step 5 : Find DF

DF : TY = 4 : 9DF : 45 = 4 : 9DF = 20

Answer:

DF = 20

Step-by-step explanation:

Triangle SDF has side lengths SD, DF, SF.

Triangle RTY has side lengths

RT = (9/4)SD

RY = (9/4)SF

TY = (9/4)DF

"SF is 2 less than RT" Given

SF = RT - 2

SF = (9/4)SD - 2

"SD = 8" Given

SF = (9/4)(8) - 2

SF = 16

"TY is 9 more than RY" Given

TY = RY + 9

(9/4)DF = (9/4)SF + 9

(9/4)DF = (9/4)(16) + 9

(9/4)DF = 45

DF = 45 × 4/9

DF = 20

its math help me out

Answers

Answer:

each one is double the one before it so in year 5...

3912*2=7824

Hope This Helps!!!

Answer:

7824

Step-by-step explanation:

vanessa deposited money into a bank account yhat earned 1.25% simple interest after each year. after 1/2 year she earned $5 in interest on the account. how much was her initial deposit

Answers

The initial amount is $800.

What is interest?

Interest is the price you pay to borrow money or the cost you charge to lend money.

Given:

Simple interest = 1.25% = 0.0125

So, interest in half a year.

=0.0125 ÷ 2

= 0.00625

Now,

=5 / 0.00625

= 800

Hence, the initial deposit was $800

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Other Questions
In a time when few people considered Native Americans to be worthy of equal rights, Chief Justice John Marshall was willing to stand up for the Native Americans. In the Worcester v. Georgia case, the Cherokee asked the Supreme Court to stop the state of Georgia from enforcing its laws on the Cherokee's land. In 1832, Marshall ruled that the government of Georgia did not have the right to enforce its laws on Cherokee lands. This ruling allowed Cherokees to stay on their homeland.From the passage, one can see that Chief Justice John Marshall used his authority to A. end much of the prejudice against Native Americans. B. create a treaty between whites and Cherokees. C. help Native Americans gain some rights. D. stop all of the Native Americans' problems. Which list is in order from least to greatest? how can pascal's triangle be useful in finding probabilities? 30 point for thisss I need help The ________ rate is the percentage of women who experience unintended pregnancy within the first year of using a particular contraceptive. Please help answer this question asap 2/11 Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.1. Which one of the following statements is, correct about the probability of Aadi getting Tails?A. Sue's estimate is best because she throws it 50 times.B. Sue's estimate is best because she gets more Tails.C. Sue's estimate is best because she throws it more times than Eric2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b. Assume that a normal curve is a good model for this data set. If 10,000 more observations were collected, what percentage of the observations would be greater than 98.02? In other words, what percentage of the area under the normal distribution curve would lie above 98.02 on the x-axis?A) 5.9%B) 2.96%C) 2.5%D) 0.0% What is the product?- 6(x-1)-8(x+1)O 6(x-1)O 6(x-1)O(x + 1)(6x-1)O(x-1)(6x - 1) What is the product of the reciprocal of 6 and the reciprocal of 7? Which statements correctly describe the geography of Mongolia and the surrounding regions?Choose all answers that are correct. Mongolia--the homeland of the Mongols--is located in central Asia.The Gobi is northeast of Mongolia.The modern-day nation of Mongolia is landlocked. What's the difference in Dune part, ... Dautre part...And Dun ct... 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Since they'd moved to Nevada twenty-two days ago, Jerry had kept his head covered; a new tinfoil hat every day. He sat inside, safe, watching the three kids who lived nearby play baseball in the hot, dry, Nevada dirt. What was wrong with them? They were in danger. They weren't smart, like his friends in New Hampshire. He didn't want to spend time with anyone who didn't know any better than to expose their brains to allens. Allens would get in your brain and eat you from the inside out. Or worse. Jerry tried to block the sound of laughter as he folded the edges of the hat he'd wear tomorrow. He heard the sound of a ball hitting a bat. He knew that sound without looking, because he used to play baseball with his friends after school every day, back in New Hampshire. Back where it was safe. He pressed the creases hard, harder than he should, his fingertips turning white with the pressure. He heard the sound of running feet on the hard dirt; laughter; cheering. He stood, holding the tin hat, and watched them toss the baseball back and forth, hearing the thwack of the ball against the palms of their hands. His hand instinctively flexed as if he were gripping the ball, and the hat crumpled between his fingers. He balled it up furiously, pounding it between his hands, turning the sharp edges into a uniform roundness. It was almost the same size as a baseball. He threw it against the window as hard as he could, but it just bounced off. One of the kids heard the sound and saw Jerry standing by the window. He yelled, and waved. The other kids with exposed brains looked up and gestured for him to come outside. He stepped back from the window, clutching his tin hat on his head. The sun felt warm on his head as he swung the bat and hit the ball into the dirt beyond the other kids. Without the hat on, it didn't feel like allens were starting to eat his brain. Actually, it felt like they'd just stopped.1) What does the exposition tell us in this story?2) What is the rising action in the story?3) What decision, resolution, or realization is made? What is the period of this graph? bear corp. has $100,000 cash in the bank restricted to repay a note payable that matures in 2 years. how should this $100,000 be reported? Santa Barbara Express has 4 sales employees, each of whom earns $5,000 per month and is paid on the last working day of the month. Each employees wages are subject to FICA social security taxes of 6.2% and Medicare taxes of 1.45% on all wages. Withholdings also include federal income tax of $800 for each employee and monthly medical insurance premiums of $110 for each employee. Whitman wanted to express that America is a country constituted by several parts that make a whole that works well. Each individual of the country doing their part is what forms the nation.A choir is a group of people in which each one has a part to sing that might not be special on their own but form a harmony when they are sung together,by beginning each line with the same wordby ending each line with a type of workerby beginning each line with a type of workerby ending each line with the same word Fast food and juice boxes are example of which of these? group of answer choices habitat destruction air pollution water pollution overpackaging i need a answer within 20 mins i will give 30 points