Answer:
4th answer
Step-by-step explanation:
Im a genius
Answer:
B.
Step-by-step explanation:
Hope this helps
Which is a better estimate for the volume of a salt shaker?
Total volume of the salt shaker is 56.52+706.5=763.02 cm³
What is the area and volume of a right circular cylinder?The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr²h.
Given here: The volume of a salt shaker
The radius of the salt shaker which is 5 cm
Thus the volume of the cylinderical salt shaker is = π×3²×5²
=706.5 cm³
and the volume of the hemisphere at the top is= (2/3)πr³
=56.52 cm³
Hence, Total volume of the salt shaker is 56.52+706.5=763.02 cm³
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The complete question is Which is a better estimate for the volume of a salt shaker? where radius =3 cm and height =5 cm
1. Jacob wants to buy chocolate spread. There are 8-oz container of
chocolate spread for $0.56 or a 32-oz container of chocolate
spread for $2.56. Which one is a better buy? (Which one has a lower
unit rate?) (5 points).
The
container has a lower unit rate.
Answer: 8oz container has a lower unit rate
Step-by-step explanation:
8 oz = 0.56
32 oz = 2.56
Question: how much is each container per oz
8oz:0.56/8 = 0.07 per oz
32 oz:2.56/32 = 0.08 per oz
A ball bounces to a height of 6.7 feet on the first bounce. Each subsequent bounce reaches a height that is 81% of the previous bounce. What is the height, in feet, of the sixth bounce
After solving, the height in feet of the sixth bounce is 1.892 feet.
In the given question, we ave to find the height, in feet, of the sixth bounce.
From the given question,
Height on the first bounce = 6.7
Subsequent bounce reaches a height of the previous bounce = 81%
Suppose the height is h.
So according to the question:
h(6) = height on the first bounce*(subsequent bounce reaches a height of the previous bounce)^6
h(6) = 6.7*(81%)^6
h(6) = 1.892 feet
So the height of sixth bounce is 1.892 feet.
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Andrew picked vegetables from his garden and put them into bags. He put 10 carrots into each of 3 bags, 8 tomatoes into each of 4 bags, and 6 turnips into each of 5 bags.
Which expression represents all the vegetables that Andrew picked and put into bags?
Answer:
To find the total number of vegetables Andrew picked and put into bags, we need to add the number of carrots, tomatoes, and turnips.
The number of carrots is 10 per bag and he filled 3 bags, so he picked 10 x 3 = 30 carrots.
The number of tomatoes is 8 per bag and he filled 4 bags, so he picked 8 x 4 = 32 tomatoes.
The number of turnips is 6 per bag and he filled 5 bags, so he picked 6 x 5 = 30 turnips.
Therefore, the expression that represents all the vegetables Andrew picked and put into bags is:
30 + 32 + 30 = 92
Andrew picked a total of 92 vegetables and put them into bags.
What is the volume of this right prism?
• 96 in3
• 60 in3
• 48 in3
44 in3
The volume of the right prism cannot be determined with the given options.
To find the volume of a right prism, we need to know the base area and the height. None of the options provide both of these values, so we cannot calculate the volume.
However, we can eliminate options based on their feasibility. For example, a volume of 96 in3 is not possible for a right prism with the given dimensions. Similarly, a volume of 44 in3 is unlikely as it is too small for a right prism.
To find the volume of a right prism, you use the formula V = B × h, where V is the volume, B is the area of the base, and h is the height.
Since we don't have specific dimensions for this right prism, we can't go through the step-by-step calculations. However, based on the options provided, we can deduce that the correct volume is 48 in³.
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Identify whether you would use the Law of Sines or the Law of Cosines to determine the unknown measurement.
Show work, calculation, and step-by-step.
The law of sines or cosines can be used in the given images as follows:
1) Law of sine
2) Law of cosine
3) Law of cosine
4) Law of sine
How to use Law of Sines and Cosines?If only one of the three sides of the triangle is missing, the law of cosines can be used. 3 sides and 1 angle. So if the known properties of a triangle are SSS (side-side-side) or SAS (side-angle-side), then this law applies.
If you want the ratio of the sine of an angle and its inverse to be equal, you can use the law of sine. This can be used if the triangle's known properties are ASA (angle-side-angle) or SAS.
1) We are given two angles and one side and as such we will use the law of sine to find the unknown side x as:
x/sin 51 = 12/sin 50
2) We are given three sides and one angle. Thus, we will use the law of cosines to find the missing angle x.
3) We are given two sides and one angle and as such to find the unknown side, we will use the law of cosines.
4) We are given two sides and one included angle and as such we can use the law of sines to find the missing angle x.
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The system of differential equations dx/dt = Ax depends on a real-valued constant a. Use the eigenvalues to determine the stability properties of the equilibrium at the origin for all values of a.
The stability properties of the equilibrium at the origin for all values of a in the system of differential equations dx/dt = Ax depend on the eigenvalues of matrix A.
To determine the stability properties, first find the eigenvalues of matrix A by solving the characteristic equation, det(A - λI) = 0, where λ represents the eigenvalues and I is the identity matrix. Once you obtain the eigenvalues, analyze their real parts:
1. If all real parts are negative, the equilibrium is asymptotically stable.
2. If any real part is positive, the equilibrium is unstable.
3. If all real parts are non-positive, and there are no repeated eigenvalues with zero real parts, the equilibrium is stable.
By examining the eigenvalues, you can determine the stability properties for all values of the real-valued constant a.
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Baking a tray of chocolate chip cookies takes three cups of milk and two cups of flour. Baking a tray of oatmeal raisin cookies takes one cup of milk and four cups of flour. The baker has 9 cups of milk and 16 cups of flour available. He makes $2.50 profit per tray of chocolate chip cookies and $2 profit per tray of oatmeal raisin. How many trays of each type of cookies should be make to maximize his profit?
Step-by-step explanation:
this is a linear programming problem.
the objective is to maximize profit
let the chocolate be x
and cookies be y
Maximize
2.5x+2y=P
constraint milk
3x+y=9------------------1
constraint flour
2x+4y=16----------------2
solving 1 and 2
3x+y=9
2x+4y=16
multiply 1 by 2 and 2 3 to eliminate x we have
6x+2y=18
6x+12y=48
-0-10x=-30
10y=30
y=30/10
y=3
put y= 3 in eqn 1 we have
3x+3=9
3x=9-3
3x=6
x=6/3
x=2
two trays of chocolate
three trays of cookies
2.5x+2y=P
2.5(2)+2(3)=P
5+6=P
P=$11
Help plssss I’m really bad at math and I have no clue what I’m doing <3333 also remember you can choose more than 1
Answer:11111
Step-by-step explanation:
1
Why is 4 + (-3) equal to 1?
Answer:
[See Below]
Step-by-step explanation:
\(Hey~There!\)
________________________
➜ Solve:
\(4+(-3)=1\)So with this problem technically your subtracting because of the \(-3\).________________________
So based on our work above we can conclude that the equation is equal because when solve it equals \(1\), making \(1=1\).
________________________
\(Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane\) ヅ
Three adjacent angles are at a point. The second angle is 25 degrees more than the first, and the third is 25 degrees more than the second, Find measurements of all 3 angles.
PLEASE NEED ANSWER ASAP
The measurement of the angles are 95°, 120°, and 145°.
How to calculate the angle?Let the smallest angle = x
Second angle = x + 25
Third angle = x + 25 + 25 = x + 50
x + x + 25 + x + 50 = 360
3x + 75 = 360
3x = 360 - 75
3x = 285
x = 285/3
x = 95°
Second angle = 95 + 25 = 120°
Third angle = 95 + 50 = 145°
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21 How many solutions does the equation 2 + 6(x-4)= 3x - 18 + 3x have? A) O B 1 (c) 2 D) Infinite
(3)(6)(-2)
Please Help
Answer:
-36Step-by-step explanation:
(3)×(6)×(-2) =
18 × (-2) =
(remember plus per minus = minus)
-36
In an introductory statistics class there are 4 freshmen and 6 sophomores. An examination is given, and the students are ranked according to their performance. Assume that no two students obtain the same score. (a) How many different rankings are possible
The total number of rankings is the product of the number of students at each step. Total number of different rankings possible = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 10! ≈ 3.6 × 10^6.
Given that an introductory statistics class has 4 freshmen and 6 sophomores. The students are ranked based on their performance. Therefore, it is required to find the number of different rankings possible. Step 1: Find the total number of students in the class. Total number of students in the class = number of freshmen + number of sophomores = 4 + 6 = 10Step 2: Find the number of ways to select the first-ranked student. There are 10 students to choose from for the first position. Therefore, the number of ways to select the first-ranked student is 10.Step 3: Find the number of ways to select the second-ranked student. There are 9 students remaining after selecting the first-ranked student. Therefore, the number of ways to select the second-ranked student is 9.Step 4: Find the number of ways to select the third-ranked student.There are 8 students remaining after selecting the first two-ranked students.
Therefore, the number of ways to select the third-ranked student is 8.Step 5: Continue the process until all students are ranked. The total number of rankings is the product of the number of students at each step.Total number of different rankings possible = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 10! ≈ 3.6 × 10^6.
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Finding the side length of a cube from its Volume in liters A technical machinist is asked to build a cubical steel tank that will hold 275 L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m. X 5 ?
The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.
The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.
Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):
275 liters / 1000 = 0.275 cubic meters
Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:
∛(0.275) ≈ 0.640
Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.
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a. Classify the triangle by its sides and angles.
7 in
123°
10 in
15 in
An obtuse triangle is not equilateral
Shannon wants to make snack bags that contain an equal amount of three different types of nuts. If she has 26
almonds, 78 pecans, and 52 peanuts, what will be the most number of bags she can have?
The price of an item has been reduced by 55%. The original price was $51
Answer:$22.95
Step-by-step explanation: The original price is 51%
Discount is 55% of $51= 55/100×51=$28.05
Deduct the discount from the original price. $51-$28.05=$22.95
A concession stand sells smoothies. At the end of the day they had sold 14 strawberry,
18 banana, 8 grape, and 6 orange. Tell which ratio is greater, strawberry to orange or
banana to grape.
A. Banana to grape
B. Strawberry to orange
Answer:
A. Banana to grape this should be right
Select the correct answer from each drop-down menu.In the first box it’s either (equal to) or (not equal to)In the Second box it’s either (are) or (are not)
To find h(k(x)), we have to replace the x-variable of h(x) with the function k(x).
\(\begin{gathered} h(k(x))=5(\sqrt[]{5x+1})^2-1=5(5x+1)-1=25x+5-1 \\ h(k(x))=25x+4 \end{gathered}\)Then, find k(h(x)) using the same process.
\(\begin{gathered} k(h(x))=\sqrt[]{5(5x^2-1)+1}=\sqrt[]{25x^2-5+1} \\ k(h(x))=\sqrt[]{25x^2-4} \end{gathered}\)As you can observe, the functions obtained are not equal.
Therefore, h(k(x)) is not equal to k(h(x)).
Also, the functions h and k are not inverse functions because the coefficient 5 would be as a denominator.
A car travels 50 miles per hour, h What expression represents the total distance you've traveled?
Answer:
Step-by-step explanation:
distance = rate of speed x amount of time traveled
This is often written D = R x T, or distance = rate x time
In this case D = (50 miles/hr) x (t hours), or D = 50 x T
g(x) = x² + 3h(x)=-4xFind (g/h)(x)
We need to find
\(\frac{g}{h}(x)=\frac{x^2+3}{-4x};x\ne0\)result of 2/4+2/3+2+6
Answer:
\(1\frac{1}{2}\)
Step-by-step explanation:
\(\frac{2}{4}+\frac{2}{3} +\frac{2}{6}\)
\(\frac{6}{12}+\frac{8}{12} +\frac{4}{12}\)
\(\frac{6 + 8 + 4}{12}\)
\(\frac{18}{12}\)
\(1\frac{1}{2}\)
Answer:
\(\begin{gathered} \sf \frac{2}{4} + \frac{2}{3} + \frac{2}{6} = \\ \\ \sf\frac{12 \div 4 \times 2 + 12 \div 3 \times 2 + 12 \div 6 \times 2}{12} = \sf \\ \\ \sf\frac{6 + 8 + 4}{12} = \\ \\ \sf\frac{18}{12} = \frac{ 6}{4} = \\ \ \\ \sf\frac{3}{2} = \boxed { \sf1 \frac{1}{2}} \end{gathered}\)
How to add heterogeneous fractions:
Heterogeneous fractions are fractions that have different denominators.
To add heterogeneous fractions, follow these steps:
Find the common denominator This is the l.c.m of the denominators.Divide the common denominator by the original denominator and multiply by the numerator.Write the results obtained in the previous step as numerators with the sign of the sum between them. The denominator is the common denominator.Add the numerators and keep the same denominator. Simplify the result if possible.A new refrigerator has a price of $480.00. The store will discount the price by 15% if the purchaser pays in cash. What is the cash price of the refrigerator? $240.00 $240.00 $408.00 $408.00 $465.00 $465.00 $472.80
Answer:
$408.00
Step-by-step explanation:
15%of 480=0.15*480=72
480-72=408
If the cost of the new refrigerator is $480.00. If the customer pays in cash, the business will reduce the price by 15%. The refrigerator will cost $72 in cash.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol. The usage of percentages is widespread and diverse.
It is given that, A new refrigerator has a price of $480.00. The store will discount the price by 15% if the purchaser pays in cash.
Cash price = 15% of the price of the refrigerator
Cash price =15% × $480.00
Cash price =$72
Thus, if the cost of the new refrigerator is $480.00. If the customer pays in cash, the business will reduce the price by 15%. The refrigerator will cost $72 in cash.
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12a I need help please
Answer:
Step-by-step explanation:
The only way to solve this is to use trig. The supplement to theta is 180 - tan-1(5/4)
Tan-1 (5/4) = 51.34
Theta = 180 - 51.34 = 128.66
Please help Omg please please please I’m praying somebody helps
which sympy function is used to display a graph of a mathematical function?
The SymPy function that is used to display a graph of a mathematical function is plot().
What is SymPy?SymPy is a Python library for symbolic mathematics that aims to become a full-featured computer algebra system while keeping the code as easy as possible in order to be comprehensible and easily extensible.
A plot is a graphical representation of a function or data set that is drawn in a coordinate plane. It allows you to see patterns and trends in your data that may not be apparent from looking at a list of numbers. SymPy is a Python library for symbolic mathematics that includes the plot() function for generating plots of mathematical functions.
To illustrate, the following code generates a plot of the function y = x^2 over the domain [-5,5].
Code:from sympy import plot, symbols, cosx = symbols('x')plot(x**2, (x, -5, 5))
The plot() function has the following arguments:
x: The mathematical expression for the function to plot.
(x, a, b): The tuple specifying the variable x and the domain [a,b].
The plot() function also accepts a number of other optional parameters for customizing the plot, such as the title, labels, and line style.
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In Petri dish, there were initially 4 bacteria. Five hours later there were 972 of them .
Help !!!!!!!!!!!
According to the 2010 Census, 13% of all housing units in the United States were vacant. A Vigo County supervisor wonders if her county is different from this. She randomly selects 550 housing units in her county and finds that 130 of the housing units are vacant. Conduct an appropriate hypothesis test for the supervisor and state your conclusion.
The conclusion is that there is sufficient evidence to support the claim that the percentage of vacant housing units in their district differs from the percentage of vacant housing units in the country.
Given that the total number of a housing units in her country is 550 and the number of vacant housing units in her country is 130.
The Null hypothesis is p₀=13%=0.13, n=550 and x=130
Significance level α=0.05
Claims given: percentage other than 13%
The claim is anyone of the null hypothesis or the alternative hypothesis. The null hypothesis shows that the proportion of the population is equal to the value stated in the claim. If the null hypothesis is a claim, then the alternative hypothesis states the opposite of the null hypothesis.
H₀:p=13%=0.13
Hₐ:p/0.13
I'm interested in testing population proportion claims, so I'll use z-text with proportions.
Conditions: Random sample, 10% condition, pass / fail condition
Sample: I'm happy because the housing units were randomly selected. 10% Condition: We are happy because the sample of 550 homes in your county is less than 10% of the population.
Pass/ fail condition: Satisfied because both np₀ and n(1-p₀) are both at least 10.
np₀=550(0.13)=71.5≥10
n(1-p₀)=550(1-0.13)=478.5≥10
Therefore, we conclude that all the conditions are met.
The sample percentage is the number of successes divided by the sample size.
\(\begin{aligned}\hat{p}&=\frac{x}{n}\\ &=\frac{130}{550}\\ &\approx 0.2364\end\)
Determines the value of the test statistic:
\(\begin{aligned}z&=\frac{\hat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}} \\ &=\frac{0.2364-0.13}{\sqrt{\frac{0.13(1-0.13)}{550}}}\\ &=\frac{0.1064}{0.0143}\\&\approx 7.41 \end\)
The P-value is the probability of getting a test statistic value or a more extreme value if the null hypothesis is true. Use the normal probability table in the appendix to determine the P-value.
P=P(Z<−7.41 or Z>7.41)
P=2P(Z>7.41)
P=2(0)
P=0
If the P-value is less than the significance level α, the null hypothesis is rejected.
P<0.05⇒ Reject H₀
Therefore, there is ample evidence to support the claim that the proportion of vacant homes in the area is different from the proportion of vacant homes in the country.
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The prism's volume is the area of the base,
times the height,
Since the ratio of the areas is then the volume of
the cylinder is times the volume of the prism.
V = (4rº), or
Answer:2r(2r)
R
pi/4
pi times r cubed
Step-by-step explanation: just answer it e2020