A square hamburger is centered on a circular bun. Both the bun and the burger have an area of 16 square inches. How far, to the nearest hundredth of an inch does each corner of the burger stick out from the bun? Explain.
Julie is going to a store to buy vases to use as centerpieces at her party. Small vases cost $2 and large vases cost $4. She needs to buy a minimum of 15 vases, and can spend a maximum of $50.
Which system of linear inequalities represents this situation? Let s represent the number of small vases and l represent the number of large vases.
A
s + l ≥ 15
2s + 4l ≤ 50
B
s + l ≤ 15
2s + 4l ≥ 50
C
s +l ≥ 50
2s + 4l ≤ 15
D
s + l ≥ 15
2s +4l ≥ 50
how many factors in the expression 8(x+4)(y+4)(z2+4z+7)have exactly two terms
What is the principal if the amount is $1056,the time is 4 years,and the rate is 8%?
The principal amount is calculated using the formula for simple interest. By rearranging the formula and inputting the given values for the amount, time, and interest rate, the principal is determined to be $800.
To find the principal if the amount is $1056, the time is 4 years, and the rate is 8%, we can use the formula for simple interest which is:
Amount = Principal + (Principal × Rate × Time)
Rewriting the formula to solve for principal (P), we get:
Principal = Amount ÷ (1 + Rate × Time)
Substituting the given values:
Principal = $1056 ÷ (1 + 0.08 × 4)
Principal = $1056 ÷ (1 + 0.32)
Principal = $1056 ÷ 1.32
Principal = $800
Therefore, the principal is $800.
Ron needs paper for his class project. He buys 5 packs of paper and uses all but 3 pieces. If p stands for the amount of paper per pack, which expression can he use to find out the number of papers that he used?
me n my dad share the cost of a meal the ratio of 2:3 i payed £52.20 whats the total cost of the meal
At Pizza Pi, 9% of the pizzas made last week had broccoli on them. If 27 pizzas had broccoli, on how many pizzas in all were made last week?
the movie theater is twice as far from the school as the mall. if the movie theater is to the right of the school, at which location is the movie theater ?
Find the general solution of the given second-order differential equation. 25y'' − 15y' − 4y = 0
Final answer:
To solve the second-order differential equation 25y'' - 15y' - 4y = 0, we find the characteristic equation and its roots, then express the general solution as a linear combination of terms with the found roots as exponents, resulting in [tex]y(t) = C_1e^{-t/5} + C_2e^{4t/5}.[/tex]
Explanation:
We are given a second-order differential equation with constant coefficients: 25y'' − 15y' − 4y = 0. First, we will look for a characteristic equation that arises from this differential equation to find the general solution.
To find the characteristic equation, we substitute [tex]y = e^{rt}[/tex] (where r is a constant) into our differential equation, replacing y'' with [tex]r^2e^{rt}[/tex], y' with [tex]re^{rt}[/tex], and y with [tex]e^{rt}[/tex]. The equation becomes 25r² − 15r − 4 = 0.
Solving for r, we find the roots of the characteristic equation, which are the values of r that satisfy the equation.
Once we have the roots, which we'll call r₁ and r₂, the general solution to the differential equation is [tex]y = C_1e^{r_1t} + C_2e^{r_2t}[/tex], where C₁ and C₂ are arbitrary constants determined by initial conditions.
To find r₁ and r₂, we factor the characteristic equation:
25r² − 15r − 4 = (5r + 1)(5r - 4) = 0. Hence, r₁ = -1/5 and r₂ = 4/5.
Finally, the general solution to the differential equation is [tex]y(t) = C_1e^{-t/5} + C_2e^{4t/5}.[/tex]
According to these three facts, which statements are true?
Circle W has center (−3, 0) and radius 8.
Circle V is a translation of circle W, 2 units down.
Circle V is a dilation of circle W with a scale factor of 2.
Select each correct answer. (You can choose more than one).
A. Circle V and circle W are similar.
B. Circle V and circle W have the same center.
C. The radius of circle V is 16.
D. The center of circle V is (−5, 0).
Circle V and Circle W are similar and the radius of Circle V is 16; however, Circle V and Circle W do not have the same center, and the center of Circle V is not (-5, 0), but rather (-3, -2).
Given the information that Circle W has center (-3, 0) and radius 8, and Circle V is a translation of Circle W 2 units down and a dilation with a scale factor of 2, the following statements can be evaluated:
Circle V and Circle W are similar: This statement is true. Both circles maintain their shape after a translation and dilation.Circle V and Circle W have the same center: This statement is false. Translation moves the center of Circle V 2 units down, changing its coordinates.The radius of Circle V is 16: This statement is true. The radius is doubled through the dilation process.The center of Circle V is (-5, 0): This statement is false. The correct center after translation would be (-3, -2).The cover of a jacuzzi is a regular pentagon. If the side measures 2.5 feet and the apothem is 1.7 feet, find the area of the lid used to cover the Jacuzzi
A packet processed by an internet router carries either audio information with probability 7/10, video, with probability 2/10, or text with probability 1/10. the probability that the router processes 70 audio packets, 20 video packets, and 10 text packets in a sequence of 100 packets is:
On a trip, you had to change your money from dollars to British pounds. You got 560560 pounds for 800800 dollars. How many pounds will you get for 300300 dollars?
In a certain state, license plates consist of three letters followed by three numbers.
a. how many
The Voyager 2 space probe took 2 years to make its closest approach to Jupiter. How many months did it take Voyager 2 to reach Jupiter? (1 year = 12 months)
The main span of Bridge A (2300 feet) is _____ percent shorter than the main span of Bridge B (4700 feet).
The main span of bridge A is 51.1% shorter than the main span of bridge B.
Span of bridge A = 2300 feets
Span of bridge B = 4700 feets
Percentage difference in span length :
[(difference in span) / span of B] × 100%
Difference in span = 4700 - 2300 = 2400
Percentage difference = (2400 ÷ 4700) × 100%
Percentage difference = 0.5106 × 100% = 51.1%
Therefore, the main span of bridge A is 51.1% shorter than the main span of bridge B.
Learn more :https://brainly.com/question/13218948
A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it.
If there’s a red mark on the bottom of the duck, the person wins a small prize.
If there’s a blue mark on the bottom of the duck, the person wins a large prize.
Many ducks do not have a mark.
After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize.
Estimate the number of the 160 ducks that you think have red marks on the bottom. Then estimate the number of ducks you think have blue marks. Explain your reasoning. Show all work!
Answer:
17
Step-by-step explanation:
If 1 mile equal to 1.61 kilometers, how many kilometers are there in 50 miles
if m 6 =50 then find m 11
The question about finding the value of m 11 based on m 6 cannot be answered with the information provided. Additional context or a specific formula is needed to make a calculation.
Explanation:It appears that there might be a misunderstanding in the question, as the provided information is not sufficient to determine the value of m 11 based on the value of m 6. The references provided deal with various scientific and mathematical concepts that do not seem directly related to one another and therefore do not give a clear method for calculating m 11 from m 6.
Additional context or information such as a specific formula, sequence, or relationship between m 6 and m 11 would be necessary to provide an accurate answer. Without this information, it's not possible to calculate m 11.
(I will give the brainliest! Please answer quickly)
Leia cuts congruent triangular patches with an area of 21 square centimeters from a rectangular piece of fabric that is 14 centimeters long and 6 centimeters wide. How many of the patches can Leia cut from 31 pieces of the fabric?
this math problem is hard
Express the decimal as a percent. 0.24
Final answer:
To express the decimal 0.24 as a percent, you would multiply it by 100. The decimal 0.24 can be expressed as 24%.
Explanation:
To convert a decimal to a percent, you need to multiply it by 100. In this case, to express the decimal 0.24 as a percent, you would multiply it by 100.
0.24 * 100 = 24
So, the decimal 0.24 can be expressed as 24%.
A percent represents a part per hundred.
When you multiply a decimal such as 2.4 by 100 to find its percent equivalent, you move the decimal point two places to the right. If there are not enough decimal places, we use zeros as placeholders.
Therefore, 2.4 times 100 is 240, and 0.24 times 100 is 24, which gives us 24%.
Hi can someone please help me? If sin2A=cos 3A find the value of A. Can you please explain in full detail how you arrived at your answer? Also Find the exact value of (sec30)^2. Will I need to use a calculator in order to solve this prob?
if f(x)=2x and g(x)=x^2-1 which statement is true?
A. (f*g)(x)=2x^2 -1
B.(f*g)(x)=2x(x^2-1)
C.(g*f)(x)=4x-1
D.(g*f)(x)=4x^2-1
When the polynomial is written in standard form, what are the values of the leading coefficient and the constant?
5x + 2 – 3x2
Machine A makes 50 more than 4 times the number of parts that Machine B makes each day. If Machine A makes 450 parts each day, how many parts does Machine B make each day? 100 125 500 1850
Answer:
125 is NOT the right answer. read the question out completely. 100 is your answer.
Step-by-step explanation:
you're supposed to write an algebraic expression for 50 more than 4 times the number of parts that Machine B makes and set that equal to 450.
carlos walked 2 miles on Monday and 5 miles on Saturday. the number of miles he walked on thise two days is 3 miles more than the number of miles he walked on Friday. write and solve an addition equation to find the number of miles Carlos walked on Friday.
what is the slope of the line that contains (-3, 4) and (7, 5)
which term best describes the statement given below?
if a = b and b = c then a= c
Answer:
Syllogism law
Step-by-step explanation:
Given:
a ⇒ b, and b ⇒ c, then a ⇒ c
This is a transitive property and it is also called syllogism law.
For example,
if it rains (a), then the cricket field will be wet (b), this means a ⇒b
If the cricket field wet(b), then the game will be cancelled(c), this means b ⇒c
if it rains (a), then the game will be cancelled(c), this means a ⇒ c
So it is a valid conclusion. This is called syllogism law.
You are saving money to buy an electric guitar. You deposit $1000 in an account that earns interest compounded annually. The expression 1000(1+r)^2 represents the balance after 2 years where r is the annual interest rate in decimal form. Write a polynomial in standard form.
The interest rate is 3%. What is the balance of your account after 2 years.
The guitar costs $1100. Do you have enough money in your account after 3 years?
The balance of your account after 2 years is $1,060.90. You do not have enough money in your account after 3 years to buy the $1100 guitar.
Explanation:To write a polynomial in standard form for the balance after 2 years, we substitute the given interest rate of 3% (0.03 in decimal form) into the expression $1000(1+r)^2. This gives us $1000(1+0.03)^2. Simplifying this equation, we have:
$1000(1+0.03)^2
= $1000(1.03)^2
= $1000(1.0609)
= $1,060.90
Therefore, the balance of your account after 2 years is $1,060.90.
To determine if you have enough money in your account after 3 years to buy the $1100 guitar, we can substitute the values into the expression $1000(1+r)^3. Using the same interest rate of 3% (0.03 in decimal form) and solving the equation, we have:
$1000(1+0.03)^3
= $1000(1.03)^3
= $1000(1.0927)
= $1,092.70
Since $1,092.70 is less than the cost of the guitar, you do not have enough money in your account after 3 years to buy the guitar.