The price of an item has risen to $221 today. Yesterday it was $130. Find the percentage increase.
Answers
Answer:
70
Step-by-step explanation:
Related Questions
Classify the triangle as scalene, isosceles, or
equilateral. Show your work. D(8,-6), E(-1, -3), F(-2, 5)?

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Answer:
Step-by-step explanation:
I love you
Answer:
Step-by-step explanation:
first
secnf
Amy spent $42 on breakfast for her family. She gave the waiter an 18% tip. What is the tip?
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18% of 42 is 7.56
Question is in the picture
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The function that models the number of bacteria, f(t), at time t, in hours, is f(t) = 100(∛4)^t
How to calculate the function that models the number of bacteria, f(t), at time t, in hoursBased on the scatter plot, we can see that the data points roughly form an exponential curve.
Therefore, we can use the function of the form f(t) = ab^t to model the data, where a is the initial value of the function (the number of bacteria at t=0) and b is the growth factor.
To find the values of a and b, we can use the two data points given in the table: (0, 100) and (3, 400). Substituting these values into the equation, we get:
100 = ab^0 -> a = 100
400 = ab^3
Dividing the second equation by the first equation, we get:
4 = b^3 -> b = ∛4
Therefore, the function that models the number of bacteria, f(t), at time t, in hours, is f(t) = 100(∛4)^t
So the answer is f(t) = 100(∛4)^t.
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David used exactly 8 cups of flour to make 6 loaves of bread. How many loaves of bread can he make with 12 cups of flour?
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EXPLANATION: Half of 8 = 4, half of 6 = 3
8 + 4 = 12 cups of flour, 6 + 3 = 9 loaves of bread.
David can make 9 loaves of bread with 12 cups of flour.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
David used exactly 8 cups of flour to make 6 loaves of bread.
SO, Half of 8 = 4, half of 6 = 3
8 + 4 = 12 cups of flour,
6 + 3 = 9 loaves of bread.
Thus, David can make 9 loaves of bread with 12 cups of flour.
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Use the Trapezoidal Rule to approximate ∫43ln(x2+9) dx using n=3. Round your answer to the nearest hundredth.
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The Trapezoidal rule formula is given to be:
\(\begin{gathered} \int_a^bf(x)dx\approx\frac{\triangle x}{2}(f(x_o)+2f(x_1)+2f(x_2)+2f(x_3)+...+2f(x_{n-1})+f(x_n) \\ where \\ \triangle x=\frac{b-a}{n} \end{gathered}\)The question gives:
\(\begin{gathered} f(x)=\ln(x^2+9) \\ a=3 \\ b=4 \\ n=3 \\ \therefore \\ \triangle x=\frac{1}{3} \end{gathered}\)Therefore, divide the interval into n = 3 subintervals of length 1/3 with the following endpoints:
\(a=3,\frac{10}{3},\frac{11}{3},4\)Evaluate the function at the endpoints:
\(\begin{gathered} f(x_0)=f(3)=2.89 \\ 2f(x_1)=2f(\frac{10}{3})=6.00 \\ 2f(x_2)=2f(\frac{11}{3})=6.22 \\ f(x_3)=f(4)=3.22 \end{gathered}\)Sum up the calculated values and multiply by Δx/2:
\(\Rightarrow\frac{1}{3\times2}(2.89+6.00+6.22+3.22)=3.06\)Therefore, the answer will be:
\(\int_3^4\ln(x^2+9)dx\approx3.06\)45°-45°-90°
Find the missing sides of the triangle.
The number is 8
Answers
Answer:
4\(\sqrt{2}\)
Step-by-step explanation:
the ratio of the side lengths of a 45:45:90 triangle is 1:1:\(\sqrt{2}\).
It gives you the \(\sqrt{2}\) side as 8. divide 8 by sqrt2 to get \(\frac{8}{\sqrt{2}}\) or 4\(\sqrt{2}\)
Answer:
4 and 4
Step-by-step explanation:
The missing numbers are four and four since the ratio of the 3 numbers given were 2:1, you can divide 8 by 2 to get the triangle legs.
Among of the following, which has both length and width A.point B.Line C.Plane D.Set
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this is adding and subtracting of like and unlike terms
ab+bc=
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Answer:
b(a+c) this is answer okay
Answer:
Step-by-step explanation:
ab+bc
b(a+b)
u can add two term only if they have same base.
This area model is in decimals and the teacher doesn’t allow decimal answers.
Answers
Answer:
65 3/5
Step-by-step explanation:
yeah-ya............. right?
In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Paul has scored 82 , 88 , and 87 on the first three. What range of scores on the fourth test will give Paul a C for the semester (an average between 70 and 79 , inclusive)? Assume that all test scores have a non-negative value.
Answers
Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).
The sum of the scores on the first three, hundred point tests
= 82 + 88 + 87 = 257.
The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.
The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.
Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.
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IQ scores (as measured by the Stanford-Binet intelligence test) in a certain country are normally distributed with a mean of 95 and a standard deviation of 18. Find the approximate number of people in the country (assuming a total population of 323,000,000) with an IQ higher than 126. (Round your answer to the nearest hundred thousand.)
Answers
Answer:
13,797,339 people
Step-by-step explanation:
Given that μ = 95 and σ = 18
The total number of population is N = 323,000,000
Now, we calculate the probability that IQ is higher than 126
P(X>126) = 1 - P[Z ≤ 126 - 95 / 18]
P(X>126) = 1 - P[Z ≤ 1.72]
P(X>126) = 1 - [ NORMSDIST(1.72)] Using MS Excel
P(X>126) = 1 - 0.957283779
P(X>126) = 0.042716221
Hence, the required probability is 0.042716221
Now, we calculate the approximate number of people in the county with an IQ higher than 126
Number of people = P(X>128) * N
Number of people = 0.042716221 * 323,000,000
Number of people = 13797339.383
Number of people = 13,797,339
Therefore, the approximate number of people in the country with an IQ higher than 126 is 13,797,339 in population
There are 13800000 people in the country with an IQ higher than 126
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
\(z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation\)
Given that μ = 95, σ = 18;
For x > 126:
\(z=\frac{126-95}{18} =1.72\)
From the normal distribution table, P(z > 1.72) = 1 - P(z < 1.72) = 1 - 0.9573 = 0.0427
For a total population of 323,000,000:
Number of people in the country = 0.0427 * 323,000,000 = 13800000
Hence there are 13800000 people in the country with an IQ higher than 126
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An industrial expert claims that the average useful lifetime of a typical car transimssion which comes with ten years warranty is significantly more than 10 years. In order to test this claim, 9 car transmissions are randomly selected and their useful lifetimes are recorded. The sample mean lifetime is 13.5 years and the sample standard deviation is 3.2 years. Assuming that the useful lifetime of a typical car transmission has a normal distribution, based on these sample result, the correct conclusion at 1% significance level for this testing hypotheses problem is: Group of answer choices
Answers
Answer:
Step-by-step explanation:
The question is incomplete. The missing information is the group of answer choices. The group of answer choices are
a) none of the above
b) Data provides sufficient evidence, at 1% significance level, to reject the expert's claim. In addition the p-value (or the observed significance level) is equal to P( T < -3.281).
c) Data provides insufficient evidence, at 1% significance level, to support the expert's claim. In addition the p-value (or the observed significance level) is equal to P( Z > 2.896).
d) Data provides sufficient evidence, at 1% significance level, to support the expert's claim. In addition the p-value (or the observed significance level) is equal to P( T >3.355).
e) Data provides insufficient evidence, at 1% significance level, to support the researcher's claim. In addition the p-value (or the observed significance level) is equal to P(Z > 2.896).
Solution:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ ≥ 10
For the alternative hypothesis,
µ < 10
This is a left tailed test.
Since the number of samples is small and the population standard deviation is not given, the distribution is a student's t.
Since n = 9,
Degrees of freedom, df = n - 1 = 9 - 1 = 8
t = (x - µ)/(s/√n)
Where
x = sample mean = 13.5
µ = population mean = 10
s = samples standard deviation = 3.2
t = (13.5 - 10)/(3.2/√9) = 3.28
Since α = 0.01, the critical value is determined from the t distribution table. Recall that this is a left tailed test. Therefore, we would find the critical value corresponding to 1 - α and reject the null hypothesis if the test statistic is less than the negative of the table value.
1 - α = 1 - 0.01 = 0.99
The negative critical value is - 2.896
Since - 3.28 is lesser than - 2.896, then we would reject the null hypothesis.
By using probability value,
We would determine the p value using the t test calculator. It becomes
p = 0.0056
Level of significance = 1%
Since alpha, 0.01 > than the p value, 0.0056, then we would reject the null hypothesis. Therefore, At a 1% level of significance, the sample data showed significant evidence that the average useful lifetime of a typical car transimssion which comes with ten years warranty is significantly less than 10 years
The correct option is
a) none of the above
1. Find three consecutive odd integers such that the sum of twice the smallest and 4 times the largest is 61.
2. Find three consecutive integers such that the sum of twice the smallest and 3 times the largest is 126.
3. The sum of three consecutive even integers is 18 more than twice the largest. Find the numbers.
Explain thoroughly and answer my questions for brainliest.
Answers
Answer:
The numbers are 24, 25 and 26.
Step-by-step explanation:
For number 1.
i am to lazy to do the rest
0.9t
t² + 64
Find the time
The concentration of a drug t hours after being injected is given by C(t) =
when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.
hours.
Calculator
Submit Question
Answers
1. You go to the ice cream shop with your friends and you can choose an ice cream, a topping
and sprinkles. How many different sundaes can you make when you order one flavor of ice
cream, one topping and one color of sprinkles from the chart below? Show all possible
outcomes in a tree diagram.
Ice Cream
Chocolate
Vanilla
Strawberry
Topping
Fudge
Marshmallow
Sprinkles
Chocolate
Rainbow
How many sample spaces are there? HINT: How many possible combinations?
b. P (Chocolate, Fudge, Rainbow)
Answers
Answer:
Step-by-step explanation:
Answer:
You can make 12 possible sundaes with these toppings.
Step-by-step explanation:
Chocolate, Vanilla, and Strawberry all have 4 possible outcomes:
1. Fudge & Chocolate Sprinkles
2. Fudge & Rainbow Sprinkles
3. Marshmallow & Chocolate Sprinkles
4. Marshmallow & Rainbow Sprinkles
-------------------------------------------------------------------------------------------------------------
4 x 3 will equal 12, the total possible sundaes you can make with these toppings and ice cream flavors.
Molly McGee is painting her room violet. The 15 gallon bucket of purple paint that she
currently has is 30% red paint and 70% blue paint. This shade of violet is more red, and
so Molly will need paint that is 40% red paint, and thus 60% blue paint. How many
gallons of red paint should she add to her current bucket in order to be able to paint her
room violet?
Answers
Answer:
1.5 gallons of red paint
Step-by-step explanation:
finding 10% of 15 gallons:
15 x 0.1 = 1.5
If Molly needs to go from 30% - 40% of red paint and 1.5 gallons is equal to 10%, then Molly needs to add 1.5 more gallons of red paint to her current bucket in order to be able to paint her room violet.
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
6
4
B
х
.
O x-4
O x-2
Answers
Answer:
Step-by-step explanation:
x+2
A factor of the polynomial function f(x) graphed on the coordinate plane below is,
⇒ x + 2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The polynomial function f(x) graphed on the coordinate plane below.
Now, We have;
The vertex of the function is,
⇒ x = - 2
⇒ x + 2
Thus, A factor of the polynomial function f(x) graphed on the coordinate plane below is,
⇒ x + 2
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Line 1: y=-x-3
Line 2: y= -1/2x-2
Is there a solution to this? I feel like there is, but I'm not good at math, so can someone confirm?
Answers
(-2, -1)
Step by step
Substitute the line 2 y value in place of y in line 1.
-1/2x -2 = -x -3
We want to isolate x
First we will add 1x to both sides
1x -1/2x -2 = 1x -x -3 (1x and x mean the same)
1/2x -2 = -3
Now we will add 2 to both sides, still trying to isolate x
1/2x -2 +2 = -3 +2
1/2x = -1
Now we divide both sides by 1/2 to solve for x. Remember when you divide a fraction you flip it and multiply.
1/2 * 2/1 x = -1 * 2/1
x = -2
Now we can solve for y by substituting our x value into line 1.
y .= -(-2) -3
y = -1
Now we check our work by substituting our x and y values into line 1
-1 = -(-2) -3
-1 = -1
Problem solved!
Consider a tree T with n vertices, where n is an odd integer greater than or equal to 3. Let v be a vertex of T. Prove that there exists a vertex u in T such that the distance between u and v is at most (n-1)/2
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There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.
To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.
Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.
Denote this path as P. Let x be the vertex on path P that is closest to v.
By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.
Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.
Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.
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Ronnie made a scale drawing of a shopping center. A bakery in the shopping center is 7 inches wide in the drawing. The actual bakery is 42 feet wide. What is the scale of the drawing?
Answers
Answer:
1:72
Step-by-step explanation:
The scale of a drawing is the ratio of the length in the drawing to the real length.
Drawing length: 7 inches
Real length: 42 ft × 12 in. / ft = 504 in.
Scale:
7 in. to 504 in.
Divide both numbers by 7:
1 in. to 72 in.
Scale: 1:72
For the parallelogram shown below, find coordinates for P without using any new variables.
Answers
Answer:
The answer is B
Step-by-step explanation:
For the function f(x) = x2 + 3x – 1, which of the following produces the number 27.
o f(5)
o f(2)
o f(3)
o f(4)
Answers
Answer:
f(4) is the correct answer which gives the number 27.
Please answer number 11 I’ll give brainliest thank you!
Answers
Answer:
x=28 cm
Step-by-step explanation:
Ratio of length of bigger sides to smaller sides=20:10=2:1.
\(\frac{x}{14}=\frac{2}{1}\)
\(x=28\)
-7(1+9a) have no idea how to do this
Answers
Answer:
-7-63a
Step-by-step explanation:
-7(1 + 9a)
(use the distributive property of multiplication to simplify)
-7-63a
why do the hands on the clock form an angle?
Answers
Answer:
The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)
I hope this helps you!
What is the volume of the shape below
Answers
The volume of the given figure is 1176 cubic cm.
The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).
The volume of the figure is calculated as,
Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )
Volume = 1176 Cubic cm
Hence, the volume of the figure will be equal to 1176 Cubic cm.
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100 Points help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
wait so you have t
Step-by-step explanation:
Answer:
I AGREE
Step-by-step explanation:
how might the area of a room affect the way the room is used?
Answers
Answer:
The more area a room has the more things you can put in it
Step-by-step explanation:
Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes (since being lowered into container A) the bar is removed and instantly transferred into the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.7° C? (Round your answer to two decimal places. Assume the final temperature being asked for is reached while the bar is container B.) t = min
Answers
Answer:
What I think, Is that it... It might be, It can take 3 seconds
How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
Answers
Answer: 180 gallons needed
Step-by-step explanation:
Zykeith,
Assume x gallons of 50% antifreeze is needed
Final mixture is x + 60 gallons
Amount of antifreeze in mixture is 0.4*(x+60)
Amount of antifreeze added is .5x + .1*60 = .5x + 6
so .5x + 6 = .4(x + 60)
.5x -.4x = 24 -6
.1x = 18
x = 180
Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:
\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)
Simplifying the equation:
\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)
\(\qquad\quad\implies 0.1x = 21\)
\(\qquad\qquad\implies \bold{x = 210}\)
\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)