Zakai cuts a piece of birthday cake as shown below.
What is the volume of the piece of cake?
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Related Questions
does anyone know how to answer this question? it's number four on limits.
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.. f(0) = 0
The limit from the right is the value that x^2 approaches as x approaches 0. That is 0^2 = 0.
Left and right limits are the same, so the limit as x approaches zero is 0.
Consider the function f(x) = x2 + 12x + 11. x-intercepts: 0 = x2 + 12x + 11 0 = (x + 1)(x+ 11) y-intercept: f(0) = (0)2 + 12(0) + 11 What are the intercepts of the function? The x-intercepts are . The y-intercept is .
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Then we can respond more easily to the questions.
We have then:
x-intercepts:
0 = x2 + 12x + 11
0 = (x + 1) (x + 11)
From here, we conclude:
x = -1
x = -11
y-intercept:
f (0) = (0) 2 + 12 (0) + 11
From here we conclude:
y = 11
Answer:
The x-intercepts are
x = -1
x = -11
The y-intercept is
y = 11
Answer:
the x-intercepts are (-1,0) and (-11,0), the y-intercept is (0,11).
A line with a slope of 2 passes through (3,9) Which choice is an equation of this line?
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[tex]y - 9 =2(x - 3)[/tex]
l
Or
[tex]2x - y + 3 = 0[/tex]
Or
[tex]y = 2x + 3[/tex]
EXPLANATION
The given line has slope,
[tex]m = 2[/tex]
and
[tex](3,9)[/tex]
We can find the equation in the point slope form, which is given by,
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the point and slope to get,
[tex]y - 9 =2(x - 3)[/tex]
We can also simplify further to get,
[tex]y - 9 = 2x - 6[/tex]
We make y the subject to get,
[tex]y = 2x - 6 + 9[/tex]
[tex]y = 2x + 3[/tex]
This is called the slope intercept form.
We could also write in standard form to get
[tex]2x - y + 3 = 0[/tex]
Or
[tex]2x - y = - 3[/tex]
The equation of the line with a slope of 2 passing through the point (3, 9) is y = 2x + 3.
The equation of a line with slope (m) passing through a point (x₁, y₁) is given by the point-slope form:
y - y₁ = m(x - x₁)
The slope (m) is 2, and the point (x₁, y₁) is (3, 9). Plug these values into the equation:
y - 9 = 2(x - 3)
Now, you can simplify this equation:
y - 9 = 2x - 6
To isolate y, add 9 to both sides:
y = 2x - 6 + 9
y = 2x + 3
Therefore, the equation of the line with a slope of 2 passing through the point (3, 9) is y = 2x + 3.
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Solve.
[tex]2\pi \sqrt{ \frac{ \frac{9}{2} }{32} } [/tex]
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the answer to this math question
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The drawing shows the friends ended up with 1/2 the pie.
Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 8y = sin(x).
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Find the area of a trapezoid if the altitude is 6 inches and the median is 8 inches. (Hint: Recall that the median of a trapezoid is equal to half the sum of the bases.)
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.. Area = (6 in)*(8 in) = 48 in^2
Answer:
48 sq. in.
Step-by-step explanation:
Formula for finding trapezoid area: A = 1/2(h)(b1 + b2)
They said the median of a trapezoid is equal to half the sum of the bases, so multiply the median by 2 to get the sum of the bases.
Sum of the bases = 8(2) = 16
Now plug what you have into the equation to find the area: A = 1/2(6)(16)
Simplify to get: 48
Hope this helps!
You have a bag of 42 candies you want to give to your 6 friends. the company that makes the candies guarantees that exactly 6 of the candies in the bag are red, the most delicious color. anyone who doesn't get a red candy will be so upset that they will stop being your friend! but the candies are in identical wrappings, so you are forced to give each friend 7 candies and hope for the best. what's the probability you lose one or more friends?
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Final answer:
To calculate the probability of losing one or more friends, we need to calculate the probability that a friend does not get a red candy and multiply it by the number of friends. The probability is 0.458.
Explanation:
To answer this question, we need to calculate the probability that at least one friend will not get a red candy.
First, let's calculate the probability that a friend does not get a red candy. There are 42 candies in the bag and 6 of them are red. So, the probability that a friend does not get a red candy is (42-6)/42 = 36/42 = 6/7.
Since each friend gets 7 candies, the probability that one friend does not get a red candy is (6/7)^7, because each candy is independent. Finally, since there are 6 friends, we multiply the probability by 6 to get the probability that at least one friend does not get a red candy: 6 * (6/7)^7 = 0.458 (rounded to 3 decimal places).
The current population of a city can be represented by p. the population is expected to increase by 6.5% next year. Write a expression in simplest form that represents the expected population next year
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f(x) = a*b^x, where a is the original population, b = 1 + the rate of growth (written as a decimal number), and x is the amount of time. In our case we have
p(1 + 0.065)^1
= p(1.065) = 1.065p
The expression in the simplest form that represents the expected population next year will be 1.065p.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The ongoing populace of a city can be addressed by p. the populace is supposed to increment by 6.5% one year from now.
The expression in the simplest form that represents the expected population next year will be given as,
⇒ p(1 + 0.065)
⇒ 1.065p
The expression in the simplest form that represents the expected population next year will be 1.065p.
More about the exponent link is given below.
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what is the slope of the line through point (2/3, 4/7) and (2/3, 11/7)
a. 0
b. 1
c. 2/3
d. undefined
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On a fraction line 6 friends want to equally share 3 yards of yarn how much yarn does each friend get
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Simply divide the amount of yards of yarn (3) by the number of friends that want to share them (6):
3 ÷ 6 = 0.5
Answer:
Each friend gets 0.5 yards of yarn.
24 red marbles is 40% of how many marbles
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Answer:
60 marbles
Step-by-step explanation:
Given: 24 red marbles is 40% of how many marbles
Let number of marbles be x
"24 red marbles is 40% of how many marbles"
24 = 40% of x
solve for x
First change % to decimal
24 = 0.40x
Division property of equality, divide by 0.04 both sides
x = 24÷0.40
x = 60
Hence, 40% of 60 is 24
Find the supplementary angle of 116 degrees.
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The circumference of a circle is 60π cm. What is the length of an arc of 140°? 11.7π cm 16.1π cm 23.3π cm 29.5π cm
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Answer:
c = 23.3
Step-by-step explanation:
Answer:
[tex]23.3 \pi[/tex] cm
Step-by-step explanation:
Circumference of circle = [tex]2 \pi r[/tex]
The circumference of a circle is 60π cm.
So, [tex]2 \pi r=60 \pi[/tex]
[tex]2r=60[/tex]
[tex]r=30[/tex]
Formula of length of arc = [tex]2 \pi r \times \frac{\theta}{360}[/tex]
Length of arc = [tex]2 \pi \times 30 \times \frac{140}{360}[/tex]
Length of arc = [tex]23.3 \pi[/tex]
So, Option C is true
Hence Length of arc is [tex]23.3 \pi[/tex] cm
Zhi bought 18 tickets for games at a fair. Each game requires 3 tickets. Zhi wrote the expression 18 – 3g to find the number of tickets she has left after playing g games. Diego correctly wrote another expression, 3(6 – g), that will also find the number of tickets Zhi has left after playing g games. Use the drop-down menus to explain what each part of Zhi's and Diego's expressions mean.
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Answer: In the picture below.
Step-by-step explanation:
The provided mathematical expressions represent the process of calculating Zhi's remaining tickets after playing 'g' games at a fair. '18 - 3g' symbolizes subtracting three times the number of games played from the initial total (18) tickets. '3(6 – g)', on the other hand, corresponds to multiplying the number of tickets per game (3) by the subtraction of already played games from total possible games (6).
Explanation:The subject of this question is based on mathematical expressions and variables. In the case of Zhi's expression, 18 represents the total number of tickets she bought. 'g' corresponds to the number of games played, and 3 is the number of tickets required for each game. Therefore, '18 – 3g' means subtracting three times the number of games played (3g) from the total quantity of tickets (18), which would give us the number of tickets left.
Diego's expression, however, expresses the same idea differently. '6 – g' symbolises the number of games Zhi could play before she runs out of tickets (since 18 tickets divided by 3 tickets per game equals 6 games). The '3' outside the bracket is again the number of tickets each game requires. As such, '3(6 – g)' expresses the multiplication of the tickets needed per game (3) by the difference between the total games possible and the games already played (6-g). This, therefore, provides the same result—Zhi's remaining tickets after g games.
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Click on the graph to choose the best match of the graphed quadratic equation. F(x) = x 2 + 4x
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The required graph of the quadratic function is the parabola shown in the attachment.
Given that,
To determine the graph to the best match of the graphed quadratic equation. F(x) = x² + 4x.
A parabola is a cross-section cut out of the cone and represented by an equation.
What is a graph?
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The given equation represents the parabola with vertex at (-2, - 5).
and a graph of the parabola is attached below.
Thus, the required graph of the quadratic function is the parabola shown in the attachment.
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A researcher measured the heights of forty high-school students. The measurements are recorded here.
Heights (in inches)
58 59 60 60 60 61 61 61 61 62
62 62 62 62 62 63 63 63 64 65
67 67 68 68 68 68 69 69 70 70
70 71 71 71 71 71 72 73 74 76
If Alyssa's height is in the 45th percentile within the group, what is her height in inches?
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Answer:
64
Step-by-step explanation:
i just know
Minnie and Tori combined ate nine pieces of the wedding cake Mindy ate 3 pieces of the wedding cake Tori have one fourth of the total kick write an expression to determine how many pieces of cake C there was in total
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In order for us to solve this problem, we will require to set up an expression which can be solved later. I will also be attaching an image that shows all the work that was done in order to achieve the answer. Make sure to look over it in case you still don't understand something.
Minnie and Tori ate 9 pieces of cake. We know that Minnie ate 3 pieces of cake, and Tori ate one fourth, or in other words, 25%. Let's form an expression to find out how much Tori ate. We can do this by subtracting the amount of pieces Minnie ate out of the total amount of pieces eaten.
[tex]9-3=6[/tex]
Great! Tori ate 6 pieces of cake, which accompany for 25% of the cake. We are looking for the total amount of cake pieces, meaning that we need to know 100% of it. Let's form a ratio that we can solve.
[tex] \frac{25}{6} : \frac{100}{x} [/tex]
In order for us to solve the ratio above, we need to find out how many times can 25 fit in 100, and multiply our denominator by that value.
[tex]6( \frac{100}{25} )[/tex]
[tex]6(4)=24[/tex]
Awesome! We now know our final answer.
Answer: 24 cake pieces are in the cake.
Use the drop-down menus to choose steps in order to correctly solve
5m – 8 = 3m + 8 for m.
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5m-8=3m+8
Add 8 to both sides.
5m= 3m+16
Subtract 3m on both sides.
2m=16
Divide 2 on both sides.
m=8
I hope this helps!
~kaikers
Answer:
m=8
Step-by-step explanation:
on imagine 2021
In a study of 100 new cars, 29 are white. find and , where is the proportion of new cars that are white
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Find the sum of the arithmetic sequence. 5, 7, 9, 11, ..., 23
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The answer is 140, you just add them up and it goes by 2.
A winter sport passed at Wood Middle school costs $15. A stydent without a pass must pay $1.75 for each event. How many events would a student have to attend to pass a better deal?
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Answer:
9
Step-by-step explanation:
15 divided by 1.75 equals 9.
And in order to double check, we multiply 9 and 1.75 together which equals 15.75.
What is 235◦, expressed in radian measure?
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Radians = (π / 180) x Degrees
Radians = (π / 180) x 235
Solve and you get
Radians ≈ 4.10
Hope this helps
Two spherical balloons are filled with water. The first balloon has a radius of 3cm, and the second has a radius of 6cm.
How much greater is the volume of water in the larger balloon than in the smaller balloon?
Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.
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Assume that the probability of error-free transmission of a message over a communication channel is . if a message is not transmitted correctly, a retransmission is initiated. this procedure is repeated until a correct transmission occurs. such a channel is often called a feedback channel. assume that successive transmissions are independent.
a. what is the probability that no retransmissions are required? (note that the number of retransmissions is the number of transmissions minus one.)
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Answer:
Let the probability of error-free transmission of a message over a communication channel is P.
Then the Probability of Retransmission is =1-P
Now the question is Probability when no retransmission is required
= Probability of error free transmission in first attempt
=P
Now , suppose after first failure error free transmission takes place.
Since events are independent.
∵P[error free transmission after a failure ]= P[1-P]
If after two attempts error free transmission takes place
then P[ error free transmission after two failures]= P [1-P]²
So, For after n failures
P[error free transmission after n failure]=P[tex][1-p]^n[/tex]
You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per person. When you check the company's website, you find that they also offer a special group rate. The group rate is only $8.99 per person but also includes a $20 reservation fee in addition to the cost per person
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Answer: Hello mate!
lets suppose you have (x -1) friends (then when you count yourself, there are x persons in the group) where x is a natural number.
you have two possible prices at the movie theater:
1) the $12.99 per person, then if you have x persons in the group, the total charge is $12.99*x
2) with the promotion they pay $8.99 per person and includes a $20 reservation, then the total charge is $8.99*x + $20
now, let's find the number x is where the second option is cheaper than the first.
in order to do this, we can regulate both equations in order to determine in which x₀ the costs are the same, then if x< x₀, the first option is cheaper and if x>x₀ the second option is cheaper.
$12.99*x₀ = $20 + $8.99x₀
$12.99x₀ - $8.99x₀ = $20
$4x₀ = $20
x₀ = 20/4 = 5
Then if in your group are less than 5 persons, took option 1.
if there are more than 5 persons, took the option 2
if there are exactly 5 persons, both options cost the same.
Akule borrowed $1500 at an annual simple interest rate of 12%. He paid $270 in interest. For what period of time did Akule borrow money
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Using the simple interest formula I = PRT, it is calculated that Akule borrowed $1500 at an annual interest rate of 12% for 1.5 years to pay $270 in interest.
Explanation:The subject of this question is Mathematics, specifically focusing on simple interest calculation. To find out the period of time Akule borrowed money for, we can use the simple interest formula I = PRT, where I is the interest paid, P is the principal amount borrowed, R is the annual interest rate, and T is the time in years. Akule paid $270 in interest on a $1500 loan at 12% annual simple interest. Using the formula, we solve for T as follows:
T = I / (P × R)
T = $270 / ($1500 × 0.12)
T = $270 / $180
T = 1.5 years
Therefore, Akule borrowed the money for 1.5 years.
Akule borrowed the money for 0.18 years.
Explanation:To find the period of time Akule borrowed the money, we can use the formula:
Interest = Principal × Rate × Time
Given that Akule paid $270 in interest and borrowed $1500 at an annual simple interest rate of 12%, we can plug in these values into the formula:
270 = 1500 × 0.12 × Time
Simplifying the equation, we get:
0.12 × Time = 270 / 1500
Time = (270 / 1500) / 0.12
Time = 0.18 years
Hence, Akule borrowed the money for 0.18 years.
Sales of tablet computers at ted glickman's electronics store in washington,
d.c., over the past 10 weeks are shown in the table below: week 1 2 3 4 5 6 7 8 9 10 demand 19 23 28 38 25 29 37 20 26 30 a) the forecast for weeks 2 through 10 using exponential smoothing with alpha = 0.60 and a week 1 initial forecast of 19.0 are (round your responses to two decimal places):
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Jason entered the amount for his paycheck in the wrong column.
What is the value of x in the diagram below?
A 30
B 60
C 90
D 120
could you please explain how you get the answer thank you so much.
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180-120=60degrees
therefore the bottom most angle = 60degrees
angles opposite each other are equal
so angle opposite the bottom most is 60degrees
if angles on a straight line =180degrees :
square angle=90degrees
90+60=150degrees
180degrees-150degrees= 30degrees
Therefore the answer is A) 30
A deck of cards has 3 blue, 4 black, and 6 purple cards. Draw 2 cards without replacing any cards. What is the probability of both cards being blue?
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This is 11 cards remove 2 so this is 9.
The probability of 1 card being blue is 3/9 or 1/3.
Both would be (1/3)^2 which is 1/9.
The probability of the first card being blue is 3/13, black is 4/13, and purple is 6/13. Presuming that the first card will be blue, and is then removed, then the odds now stand at 2/12 for blue (there is one less blue, and one less card, so both numbers decrease), 4/12 for black (the number of black remains the same but a different card has been removed, so only the bottom number changes) and 6/12 for purple (explanation as with black).
So, the odds are 3/13 and 2/12 that both cards will be blue. Multiplying these together gives your final answer of 3/78, or 1/26!
Hope this helped you! It was hard to explain, so if you need clarification, just say.