Percentage change = New - old / old x 100%
The new container can hold 64 ounces
The old container can hold 50 ounces
Change in percentage = 64 - 50 / 50 x 100%
64 - 50= 14
= 14/50 x 100%
= 0.28 x 100%
Percentage increase = 28%
The ansawer is 28%
Which of the expressions is rational?
I need help asap thanks
Answer:
Square root of 0.028
Step-by-step explanation:
17% = 0.17
1/7 = 0.142
1/8 = 0.125 so it isnt in the inequality
1.7 is outside of the inequality
0.091 is out of the inequality
Square root of 0.028 = 0.167 (So it's in the inequality)
Feel free to mark it as brainliest :D
A farm let’s u pick 3 pints of raspberries for $12
1) what is the cost per pint
2) how many pints do you get per dollar
3) at this rate, how many pints can you afford for $20.00
4) at this rate, how much will 8 pints of raspberries cost?
The cost per pint =4
Pints do you get per dollar = 1/4
Pints can you afford for $20.00 = 5
8 pints of raspberries cost = 32
Unit rates are defined as rates that are expressed as a number of one, such as 3 feet per second or 4 miles per hour.
According to the given statement: For $12, you can pick three pints of raspberries at a farm.
then, according to the unit rate definition,
cost per unit = 12/3 = 4
Unit rate per dollar =3/12
= 1/4
= 0.25 pint
0.25 pints of raspberries get per dollar.
Pints afford for $20
= 20/4 =5
8 pints of raspberries cost
= 4 x 8
= 32
Therefore
The cost per pint =4
Pints do you get per dollar = 1/4
pints can you afford for $20.00 = 5
8 pints of raspberries cost = 32
To learn more about the rate of units visit
https://brainly.com/question/11258929
#SPJ1
Using the method of calculating remainders for one full cycle of exponents, find the remainders when dividing a by b for each of the following examples:
1) a = 7^15, b = 5
2) a = 11^21, b = 7
3) a = 13^30, b = 11
Therefore, after answering the given query, we can state that \(7^6\) divided by 5 leaves a remainder of 4
what is divide?Division is the act of combining two integers to create a new number and is one of the four basic mathematical operations. Additional processes include multiplication, addition, and subtraction. Divide is the polar reverse of multiply. Twelve is divided into three equal portions, and when you multiply the three sets with four people by twelve, you get the four in each group.
\(a = 7^15, b = 5\)
\(7^1\) divided by 5 leaves a remainder of 2
\(7^2\) divided by 5 leaves a remainder of 4
\(7^3\) divided by 5 leaves a remainder of 3
\(7^4\) divided by 5 leaves a remainder of 1
\(7^5\) divided by 5 leaves a remainder of 2
\(7^6\)divided by 5 leaves a remainder of 4
\(a = 11^21, b = 7\)
\(11^1\) divided by 7 leaves a remainder of 4
\(11^2\) divided by 7 leaves a remainder of 5
\(11^3\) divided by 7 leaves a remainder of 2
\(11^4\) divided by 7 leaves a remainder of 3
\(11^5\) divided by 7 leaves a remainder of 4
\(11^6\) divided by 7 leaves a remainder of 5
\(a = 13^30, b = 11\)
\(13^1\) divided by 11 leaves a remainder of 2
\(13^2\) divided by 11 leaves a remainder of 3
\(13^3\) divided by 11 leaves a remainder of 8
\(13^4\) divided by 11 leaves a remainder of 9
\(13^5\) divided by 11 leaves a remainder of 5\(11^1\)
\(13^6\) divided by 11 leaves a remainder of 4
To know more about divide visit:
https://brainly.com/question/15381501
#SPJ1
To force floating-point output to show the decimal point and trailing zeros, use the ________ manipulator.
To force the output to show the decimal point and trailing zeros of a decimal number use the showpoint, manipulator.
The showpoint function is a manipulator that sets the show point flag, which instructs an output stream to write a decimal point for floating-point output, even if the point is superfluous. This is done by setting the showpoint flag, which is done by setting the show point flag (only zeros appear after the decimal point). More specifically, the calls to the functions.
The distinction between a whole number and the fractional component of a number is denoted by the use of a symbol known as a "decimal point," which can be either a point or a dot. A different name for it is the Decimal Mark. The representation of the decimal point is the (.). In addition to using whole numbers, we frequently work with decimals.
Want to know more about the showpoint, manipulator visit the link which is given below;
https://brainly.com/question/14774591
#SPJ4
Please help me asap
Write the equation of the circle centered at (-3, 8) with radius 12.
Write the equation of the circle centered at (0, 3) that passes through (12, 4).
Henry went clothes shopping and bought 3 pairs of shorts for $22.99 each, 2
shirts for $32.99 each and one pair of shoes for $54.99. What is the most
reasonable estimate of the total amount he spent on all the clothing?
A. $135
O B. $184
C. $190
D. $223
Answer:
$190
Step-by-step explanation:
22.99 times 3 = 66.97
32.99 times 2 = 65.98
one pair of shoes is 54.99.
66.97 + 65.98 + 54.99 = 187.94
187.94 is closer to 190
NO LINKS!!!
1. If each spinner is spun once, what is the probability that both spinners show the same color?
2. If each spinner is spun once, what is the probability of getting a red-blue combination?
Answer:
\(\sf 1. \quad \dfrac{3}{8}\)
\(\sf 2. \quad \dfrac{7}{24}\)
Step-by-step explanation:
Spinner 1Spinner 1 is divided into 6 congruent sections.
There are 3 red sections, 2 blue sections and 1 yellow section.
Therefore, the probability of spinning each of the three colors is:
\(\bullet \quad \sf P(R_1)=\dfrac{3}{6}=\dfrac{1}{2}\)
\(\bullet \quad \sf P(B_1)=\dfrac{2}{6}=\dfrac{1}{3}\)
\(\bullet \quad \sf P(Y_1)=\dfrac{1}{6}\)
Spinner 2Spinner 2 is divided into 3 sections of differing sizes.
The red section is half of the spinner. The blue and yellow sections are quarters of the spinner.
Therefore, the probability of spinning each of the three colors is:
\(\bullet \quad \sf P(R_2)=\dfrac{1}{2}\)
\(\bullet \quad \sf P(B_2)=\dfrac{1}{4}\)
\(\bullet \quad \sf P(Y_2)=\dfrac{1}{4}\)
Question 1If each spinner is spun once, then:
The probability that both spinners both show red is:
\(\sf P(R_1)\;and\;P(R_2)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}\)
The probability that both spinners both show blue is:
\(\sf P(B_1)\;and\;P(B_2)=\dfrac{1}{3} \times \dfrac{1}{4}=\dfrac{1}{12}\)
The probability that both spinners both show yellow is:
\(\sf P(Y_1)\;and\;P(Y_2)=\dfrac{1}{6} \times \dfrac{1}{4}=\dfrac{1}{24}\)
Therefore, the probability that both spinners show the same colour is:
\(\sf P(R_1\;\&\;R_2)\;or\;P(B_1\;\&\;B_2)\;or\;P(Y_1\;\&\;Y_2)=\dfrac{1}{4}+\dfrac{1}{12}+\dfrac{1}{24}=\dfrac{9}{24}=\dfrac{3}{8}\)
Question 2If each spinner is spun once, the probability of getting a red from spinner 1 and a blue from spinner 2 is:
\(\sf P(R_1)\;and\;P(B_2)=\dfrac{1}{2} \times \dfrac{1}{4}=\dfrac{1}{8}\)
The probability of getting a blue from spinner 1 and a red from spinner 2 is:
\(\sf P(B_1)\;and\;P(R_2)=\dfrac{1}{3} \times \dfrac{1}{2}=\dfrac{1}{6}\)
Therefore, the probability of getting a red-blue combination is:
\(\sf P(R_1\;\&\;B_2)\;or\;P(B_1\;\&\;R_2)=\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{7}{24}\)
PLEASE HELP ME PLEASEE
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: A= 1 b= -8 c= -20
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
a = 1
b = -8
c = -20
Step-by-step explanation:
HELP PLEASE !!!!!!!!!!
Answer:
cccccccc
Step-by-step explanation:
I need help alot of help
what is 40 x 23 + 70 x 23
Answer:
40 x 23 + 70 x 23= 2530
Step-by-step explanation:
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
B
Step-by-step explanation: it is a quadratic equation it can only have two intercepts
what is the pythagoras theorum in terms of shakespear?
Answer:*
Step-by-step explanation:
el precio de xbox es de $4,300 pesos .a esta cantidada se debe agregar 16% del iva ¿cual es el precio del x-box con el iva incluido
Answer: 4,988 porque 16% de 4,300 es 688 asi que nomas lo aggregas a lo que costaba y agaras el resultado de 4,988
Step-by-step explanation:
Which is the best estimate of the product 3,780 × 2?
Answer:
8000
Step-by-step explanation:
Point E is added to the given figure so that point E lies on segment BD exactly halfway between points B and D. Which statement correctly compares the angle measures?
Answer:
there is no picture but m∠EBD = m∠EBD would be one of the best one as a guess to what the photo might be
Step-by-step explanation:
Point E is added to the given figure so that point E lies on segment BD and it is exactly halfway between points B and D
Who was Leonhard Euler?
What was one of the significant contributions he made to the field of mathematics that we explored in this module (sequences and series)?
Give a mathematical example and explain.
Answer:
Leonhard Euler was a Swiss mathematician who lived from 1707-1783. He made significant contributions to many areas of mathematics, including number theory, calculus, and geometry.
One of Euler's significant contributions to the field of sequences and series is his work on the summation of infinite series. In particular, he developed a method for finding the sum of an infinite geometric series, which has the form:
a + ar + ar^2 + ar^3 + ...
where a is the first term, r is the common ratio, and the series continues infinitely.
Euler's method for finding the sum of this series is as follows:
If |r| < 1, then the sum of the series is:
a / (1 - r)
For example, let's consider the infinite geometric series:
2 + 4 + 8 + 16 + ...
In this series, a = 2 and r = 2. Since |r| < 1, we can use Euler's formula to find the sum:
sum = a / (1 - r)
= 2 / (1 - 2)
= -2
Therefore, the sum of the infinite geometric series 2 + 4 + 8 + 16 + ... is -2.
Euler's formula is just one example of his many contributions to mathematics. His work on sequences and series laid the foundation for many important concepts in calculus, and his ideas continue to influence the field of mathematics today.
Labrador Retrievers have long been popular dogs and again top registrations for the American Kennel Club. Weights of Labrador Retrievers have a mean of 65 pounds and standard deviation 3 pounds. We will assume Labrador Retriever weights have a Normal distribution. Instead of telling you how much your Labrador Retriever weighs, your veterinarian tells you that the z-score for your dog is 1.5. How much does your Labrador weigh
Answer:
Labrador weighs 69.5 lbs.
Step-by-step explanation:
Given the following data:
Mean (μ) = 65 pounds
Standard deviation (σ) = 3 pounds
z- score = 1.5
The formula for calculating the z-score is:
z = (x - μ)/σ
Where:
z = z-score
x = data point
μ = mean
σ = standard deviation
Since we're looking for the value of x, we can rearrange the formula algebraically:
z = (x - μ)/σ
(σ)z = [(x - μ)/σ] (σ)
σz = x - μ
Add μ to both sides:
σz + μ = x - μ + μ
x = σz + μ
Plug in the given values into the formula for x:
x = σz + μ
x = 3(1.5) + 65
x = 4.5 + 65
x = 69.5 pounds
Therefore, the Labrador weighs 69.5 pounds.
Please mark my answers as the Brainliest, if you find this helpful :)
find the vertical asymptotes
Answer: Vertical asymptotes are = \(-4, 1,4\)
Horizontal asymptote = \(y=0\)
Step-by-step explanation:
If you need explanation just say you want...
determine the maximum and minimum values of the function, at what values of x are they achieved? (without using a derivative)
\(y=\sin^3x-\sin^6x\)
The maximum and minimum values of the function is solved
Given data ,
We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.
y = (sin x)³ - (sin x)⁶
y' = 3(sin x)² cos x - 6(sin x)⁵ cos x
Setting y' equal to zero:
0 = 3(sin x)² cos x - 6(sin x)⁵ cos x
0 = 3(sin x)² cos x (1 - 2(sin x)³)
sin x = 0 or (sin x)³ = 1/2
If sin x = 0, then x = kπ for any integer k.
If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.
To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.
y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x
y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)
For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.
For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.
Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ1
Answer:
maximum: 0.25minimum: -2Step-by-step explanation:
You want the maximum and minimum values of the function ...
y = sin³(x) -sin⁶(x)
SolutionWhen we substitute sin³(x) = z, we have the quadratic expression ...
y = z -z² . . . . . a quadratic function
Adding and subtracting 1/4, we can put this in vertex form:
y = -(z -1/2)² +1/4
MaximumThis version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.
The maximum value of y is 1/4.
MinimumThe sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...
y = (-1) -(-1)² = -1 -1 = -2
The minimum value of y is -2.
__
Additional comment
The range of y is confirmed by a graphing calculator.
<95141404393>
Lydia graphed ΔDEF at the coordinates D (−2, −1), E (−2, 2), and F (0, 0). She thinks ΔDEF is a right triangle. Is Lydia's assertion correct? Yes; the slopes of segment EF and segment DF are opposite reciprocals. Yes; the slopes of segment EF and segment DF are the same. No; the slopes of segment EF and segment DF are not opposite reciprocals. No; the slopes of segment EF. and segment DF are not the same.
Lydia's claim is incorrect, and the true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.
Right triangles
Right triangles have a pair of perpendicular lines
Coordinates
The coordinates are given as:
D = (-2,-1)E = (-2,2)F = (0,0)SlopesStart by calculating the slopes of DF and EF using:
\(m = \frac{y_2 -y_1}{x_2 -x_1}\)
So, we have:
\(m_{DF} = \frac{0 + 1}{0 +2}\)
\(m_{DF} = \frac{1}{2}\)
Also, we have:
\(m_{EF} = \frac{0 -2 }{0+2}\)
\(m_{EF} = \frac{-2 }{2}\)
\(m_{EF} = -1\)
Notice that the slopes of both lines are not opposite reciprocals.
Hence, the Lydia's claim is incorrect
Read more about right triangles at:
https://brainly.com/question/17972372
Answer:
option c
Step-by-step explanation:
i did the test
Which of the following best describes the number below square root of -7
A. Perfect square
B.composite
C.imaginary
D.positive
Answer: The ans is imaginary . option c
Find the area of a compound shape
Can you please explain
Answer:
\(A=292.53~m^2\)
Step-by-step explanation:
Area of a Compound Shape
The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.
The area of a circle of radius r is:
\(A_c = \pi r^2\)
The area of a triangle of base b and height h is:
\(\displaystyle A_t=\frac{b.h}{2}\)
Calculate the area of the circle:
\(A_c = \pi 8^2\)
\(A_c = 64\pi\)
Area of half the circle:
\(A_c/2 = 32\pi~m^2\)
Area of the triangle:
\(\displaystyle A_t=\frac{24\cdot 16}{2}\)
\(A_t=192~m^2\)
The area of the shaded shape is:
\(A=32\pi~m^2+192~m^2\)
Substituting the value of pi:
\(\mathbf{A=292.53~m^2}\)
Need help on this. Which two numbers do i insert in.
Answer:
Not sure what you mean but 12×3 = 36 If that helps
Answer:
6 and 6
Step-by-step explanation:
6+6=9
6*6=36
Convert the binary number 1101001 to decimal.
Answer:
105
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀
9x-12
x=6
PLS I NEED HELP BY TONIGHT!!
Answer:
9 x 6 = 54 - 12 = 42
f(x) = 23 – 22
g(x) = 4x + 5
Answer:
23-22=1
5 times 4=20
Step-by-step explanation:
How much would you have to deposit today to accumulate the SAME AMOUNT OF MONEY that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn?
Answer:
7606.62
Step-by-step explanation:
Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.
\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)
Now just equate this to a time 0 payment at the same rate
\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)
As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.
4+4=
A 8
B 16
C 12
D 4