Answer:
Step-by-step explanation:
the area of a parallelogram is the same as a rectangle, well, uses the same formula. therefore it uses base × height.
for this equation we need to do 7.1 × 11.4
7.1 × 11.4 = 80.94
if you need to round the number to a whole number, it will be 81 because the first decimal digit is the number 9, and any decimal number 5 or up rounds up to the next number :D
good luck :)
-cheesetoasty
1.Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for ð and round to the nearest tenth. 439.6 ft2 324.5 ft2 571.5 ft2 285.7 ft2 2.Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm. 1056 cm2 1536 cm2 816 cm2 1344 cm2 3.Find the volume of a rectangular prism with the following dimensions: Length = 5 mm Base = 7 mm Height = 3 mm 142 mm2 105 mm2 126 mm2 130 mm2 4.Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm. 324 cm3 108 cm3 36 cm3 152 cm3 5.Find the volume of a cone with a radius of 10 mm and a height of 6 mm. 628 mm3 600 mm3 1,884 mm3 1,254 mm3 1.D 2.C 3.? 4.? 5.?
All five answers are (1) 285.7 ft2 (2) 1056 cm2 (3) 105 mm3 (4) 108 cm3 (5) 628 mm3 in accordance with the provided assertion.
What in math is a volume?In mathematics, volume refers to the amount of space present within a specific 3D object. As an example, the dimensions of a fish aquarium are three feet long, one foot broad, and two feet height.
By increasing the length, width, and height, or 3x1x2, which also equals six, the volume is determined. Consequently, the fish tank has a 6 cubic foot size.
(1) The lateral area of a cone can be calculated using the formula L = πrℓ, where r is the radius and ℓ is the slant height. Using the given values, we have:
L = π(7)(13) ≈ 285.7 ft²
Rounding to the nearest tenth, the answer is 285.7 ft².
(2) A = B + (1/2)Pl, where B is the base area, P is the base circumference, l is the slope height, and A is the surface area, can be used to determine the surface area of a square pyramid. Since the pyramid's foundation is square, we have:
B = (24)² = 576 cm²
The perimeter of the base is 4 times the base length, so we have:
P = 4(24) = 96 cm
Now we can use the formula to find the surface area:
A = 576 + (1/2)(96)(16) = 1056 cm²
Therefore, the surface area of the square pyramid is 1056 cm².
(3) The volume of a rectangular prism can be calculated using the formula V = lwh,
where
l is the length
w is the base
h is the height
V is the volume.
Substituting the given values, we have:
V = (5)(7)(3) = 105 mm³
Therefore, the volume of the rectangular prism is 105 mm³.
(4) The formula V = (1/3)Bh, where B is the base area, h is the height, and V is the volume, can be used to determine the volume of a square pyramid. Since the pyramid's foundation is square, we have:
B = (9)² = 81 cm²
Now we can use the formula to find the volume:
V = (1/3)(81)(4) = 108 cm³
Therefore, the volume of the square pyramid is 108 cm³.
(5) The volume of a cone can be calculated using the formula V = (1/3)πr2h, where r is the radius, h is the height, and V is the volume. Substituting the given values, we have:
V = (1/3)π(10)²(6) ≈ 628.3 mm³
Rounding to the nearest whole number, the answer is 628 mm³.
Therefore, the volume of the cone is 628 mm³.
To know more about Volume visit:
https://brainly.com/question/463363
#SPJ1
Do you know the answer~?
then please help me!!!!!!!!!!!!!!
The amount of Chemical B needed is 1.6 g.
what is graph?This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.
The quantity of Chemical B is plotted against the quantity of Chemical A.
Chemical B is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.
Therefore, on the graph, the line passing through the origin of the graph shows that when 1.4 g of Chemical A is used 1.6 g of Chemical B is needed.
Calculations:Chemical B is plotted on the vertical axis using the scale of 1 cm to represent 2 units.
To get the amount of Chemical B is on vertical axis = 2 grams
5 boxes
=0.4 g
Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).
To get the amount of Chemical B is on vertical axis = amount of Chemical B per box * the number of line (boxes).
To get the amount of Chemical B is on vertical axis = 0.4 g * 4 lines (boxes)
= 1.6 g
Hence The amount of Chemical B needed is 1.6 g.
Learn more about graphs on
https://brainly.com/question/12542601
#SPJ1
Melanie and noah are baking a birthday cake for franceca. The recipe call for 3/4 meauring cup and noah ha a 1/8 meauring cup. Which cup hould they ue
They should use 6 cup of Noah's measuring cup
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Recipe call = 3/4Noah's cup = 1/8Number of cup = ?Calculating the number of cup the should use:
Number of cup = Recipe call / Noah's cup
Number of cup = (3/4) / (1/8)
Number of cup = 3*8 / 4*1
Number of cup = 24/4
Number of cup = 6
Learn more about algebraic operations at: brainly.com/question/3927786
#SPJ4
Correctly written question:
Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?
graph this function : y= -5(x+6)
The function y= -5(x+6) is graphed in the image below! :)
do #11 and #12
(best answer gets brainliest!!)
Answer:
16cm, 37mm
Step-by-step explanation:
For number 11, the shape on the left is a square. This means all the sides are equal length, so the side shared with the triangle is also 12 cm. Using the pythagorean theorem, you will figure out that the unknown side is 16 (this is also another ratio of a 3-4-5 triangle).
For number 12, the side shared with the larger triangle must be 12 mm because of the pythagorean theorem once again (a^2+b^2=c^2). Then, you must use that same formula again to solve for x which is the hypotenuse. This turns out to be 37mm.
Side note**
in the pythagorean theorem, the c value is the hypotenuse and the a and b values are the legs of the triangle. it is probably best to use a calculator since you will be dealing with square roots.
how would you change the test procedure of part (b) to obtain a test with significance level .05? what impact would this change have on the error probability of part (c)?
the impact on the error probability of part is on Decreasing trends of the test procedure
A Type II error is when we fail to reject a false null hypothesis. Higher values of α make it easier to reject the null hypothesis, so choosing higher values for α can reduce the probability of a Type II error.
The consequence here is that if the null hypothesis is true, increasing α makes it more likely that we commit a Type I error (rejecting a true null hypothesis).
So using lower values of α can increase the probability of a Type II error.
learn more about of error here
https://brainly.com/question/15582747
#SPJ4
Candidate A and Candidate B are running for mayor. A poll was taken to determine which candidate would likely win the election. The poll is accurate within ±5%. Write an absolute value equation to find the maximum and minimum percentage of voters who will vote for Candidate A if 38% of the voters in the poll voted for Candidate A. Let A represent the percent of voters who will vote for Candidate A.
Answer:
\(|A-38|=5\)
33% or 43%
Step-by-step explanation:
Given that poll is accurate within \(\pm5\).
38% voters have voted for candidate A.
\(A\) is the percent of voters who will vote for candidate A.
So, value of A can be 38+5=43%
OR
38-5 = 33%
We will write an absolute function for the above situation.
But, first of all, let us have a look at the definition of Absolute value function.
\(|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.\)
The the value of function gives us a negative sign when the value inside the modulus function is negative.
\(A-38\) will be negative when \(A < 38\) and
\(A-38\) will be positive when \(A>38\).
This difference is given as \(\pm5\).
Therefore, the absolute value function can be written as:
\(|A-38|=5\)
Case 1: \(A < 38\)
As per definition of modulus function, it will open with a negative sign.
\(-A+38=5\Rightarrow A = 33\)
Case 2: \(A>38\)
As per definition of modulus function, it will open with a positive sign.
\(A-38=5\Rightarrow A = 43\)
Therefore the answer is 33% or 43%
2-31 The following grade-point averages apply to a random sample of graduating seniors. 3.88 2.73 2.71 3.09 3.28 3.51 2.86 1.20 3.13 3.24 Calculate: (a) sample range
The sample data range is = 2.68
From the question, we have the grade-point averages apply to a random sample of graduating seniors are:
3.88 , 2.73, 2.71, 3.09, 3.28, 3.51, 2.86, 1.20, 3.13, 3.24
As we know that:
The range of the data is calculated by using the following formula;
Range = Highest value in the data - Lowest value in the data
And in the given data,
Highest value in the data is = 3.88
Lowest value in the data is = 1.20
Now, Put all the values in above formula:
Range = 3.88 - 1.20
Range = 2.68
So, the sample data range is = 2.68
Learn more about Sample range at:
https://brainly.com/question/6602110
#SPJ4
the average hourly wage in the u.s. in october 2018 was $22.90. considering low unemployment and continued growth of the economy in 2019 it was expected that the hourly wage in october 2019 would increase. the p-value associated with the hypothesis test is .001. the correct conclusion is
The correct conclusion for "it was expected that the hourly wage in October 2019 would increase, and the p-value associated with the hypothesis test is .001" is "the average wage is not increased."
What is hypothesis?A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. A strong hypothesis outlines the predicted link between the dependent and independent variables and is succinct and straightforward. It is best to be as specific and testable as possible when describing this relationship.
The answer to the statement "it was predicted that the hourly wage in October 2019 would grow, and the p-value associated with the hypothesis test is.001" should be "the average wage is not raised."
To know more about hypothesis,
https://brainly.com/question/13025783
#SPJ4
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
5/8
What is the equivalent decimal?
Answer:
0.625 62.5%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Dividing 5 by 8 on a calculator results in the "equivalent decimal:"
5/8 = 0.625
0.625 converts to 62.5%: a percent
5/8 is a proper fraction
Calcium-41 is being used in studies testing the effectiveness of drugs for preventing osteoporosis. The half-life of calcium-41 is 100,000 years. If 20 grams of calcium-41 are present initially, how long would it take until only 2 grams
remains?
Answer:
332,193 years
Step-by-step explanation:
From the question above, we are to calculate the time in an half life question, hence, the formula is given as
t = In(Nt/No) ÷ -(In2/t½)
Where
t = time is takes for an substance to decay or reduce
Nt = Amount of sample after time = 2g
No = Initial amount of sample = 20g
t½ = Half life = 100,000 years
Hence,
t = In(2/20) ÷ (In 2/ 100,000)
t = 332192.80948874 years
Approximately = 332,193 years
585 divided by 5 is?
If a line passes through (4,13) and (6,19) what is the slope? And can you please explain how you got your answer
Answer:
The slope is 3.
Step-by-step explanation:
The equation for slope is either \(\frac{y2-y1}{x2-x1}\) or \(\frac{y1-y2}{x1-x2}\). So this should be \(\frac{19-13}{6-4}\), which is 3.
Answer:
Slope =
6
—
2
Step-by-step explanation:
First find the rise over run
Second use the format
Y2-y1
———-
X2-x1
Using the format you will get this
19-13
——
6-4
Next solve
Which then you get
6
—
2
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?
The average change in water volume is (answer here)iter(s) per day.
The average change in the volume of water per day is obtained as 0.625 litres.
What is the rate change of volume?The rate change of volume is the change of volume with respect to time.
For instantaneous change the derivative of the expression of volume can be taken.
The average change in the volume of water can be obtained as follows,
Average change = Volume of water ÷ Number of days
= 2.5 ÷ 4 = 0.625
Hence, the average change in water volume is given as 0.625 liters per day.
To know more about rate change of volume click on,
https://brainly.com/question/22716418
#SPJ1
convolution, Fourier series representation problems
w 32. Use the convolution theorem to solve the integral equation: y(t) = ? + - sinhít – sinh(t - A)g()dx 33. Find the Fourier series representation of f(x) given that f(x) = -{: -1, - < x < 0 , 0
32. Solving integral equation using the convolution theoremThe convolution theorem states that the convolution of two signals in the time domain is equivalent to multiplication in the frequency domain.
Therefore, to solve the given integral equation using the convolution theorem, we need to take the Fourier transform of both sides of the equation.
y(t) = ∫_{-∞}^{∞} sinh(−)g() + ∫_{-∞}^{∞} sinh(−−)g()Taking the Fourier transform of both sides, we haveY() = 2π[G()sinh() + G()sinh(−)]where Y() and G() are the Fourier transforms of y(t) and g(t), respectively.Rearranging for y(t), we gety(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]e^(j) d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)](cos()+j sin())d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d+ j(1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()dTherefore, the solution to the integral equation is given by:y(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d + (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()d
It is always important to understand the principles that govern an integral equation before attempting to solve them. In this case, we used the convolution theorem to solve the equation by taking the Fourier transform of both sides of the equation and rearranging for the unknown signal. The steps outlined above provide a comprehensive solution to the equation. 33. Fourier series representation of f(x)
The Fourier series representation of a periodic signal is an expansion of the signal into an infinite sum of sines and cosines. To find the Fourier series representation of the given signal, we need to first compute the Fourier coefficients, which are given by:an = (1/T) ∫_{-T/2}^{T/2} f(x)cos(nx/T) dxbn = (1/T) ∫_{-T/2}^{T/2} f(x)sin(nx/T) dxFurthermore, the Fourier series representation is given by:f(x) = a_0/2 + Σ_{n=1}^{∞} a_n cos(nx/T) + b_n sin(nx/T)where a_0, a_n, and b_n are the DC and Fourier coefficients, respectively. In this case, the signal is given as:f(x) = -1, -π
To know more about integral visit
https://brainly.com/question/31433890
#SPJ11
A study concluded that among people with a certain virus, 99.2% of tests conducted were (correctly) positive, while for people without the virus, 98.1% of the tests were (correctly) negative. If 29% of patients actually carry the virus, what's the probability that a patient testing negative is truly free of the virus?
If a study concluded that among people with a certain virus, 99.2% of tests conducted were (correctly) positive, while for people without the virus, 98.1% of the tests were (correctly) negative. the probability that a patient testing negative is truly free of the virus is 0.9967.
How to find the probability?Probability (testing negative is truly free of the virus) = (1- 0.29) (0.981) / (0.29) (1- 0.992) + (1- 0.29) (0.981)
Probability (testing negative is truly free of the virus) = (0.71) (0.981) / (0.29) (0.008) + (0.71) (0.981)
Probability (testing negative is truly free of the virus) = 0.69651 / 0.00232 + 0.69651
Probability (testing negative is truly free of the virus) = 0.69651/ 0.69883
Probability (testing negative is truly free of the virus) =0.9967
Therefore we can conclude that the probability (testing negative is truly free of the virus) is 0.9967.
Learn more about probability here:https://brainly.com/question/24756209
#SPJ1
my question is on the Image
It's for homework
I.NEED.HELP:(
I'll give brainliest
Answer:
6 and 12 i Hope i suck at math
Step-by-step explanation:
Answer:
His numbers are 2 and 24
Step-by-step explanation:
We see this because of our factor of +4 = 6 wich makes it 30.
Dont forget to make me brainliest!
Answer the questions to describe the transformations of figure ABCD.1. Is A'B'C'D' a translation, rotation, or reflection of ABCD? Explain how you can tell. 2. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? Explain. 3. Suppose the measure of ∠B is 89°. Which other angles must measure 89°? How do you know? 4. What is the perimeter of A"B"C"D"? Explain how you found the perimeter.
1. From the picture, A'B'C'D' is a reflection of ABCD over the y-axis
2. From the picture, A"B"C"D" is a rotation of A'B'C'D'
3. Since A'B'C'D' and A''B''C''D'' are rigid transformations of ABCD, then ∠B' and ∠B'' are congruent with ∠B, that is, the measures of ∠B' and ∠B'' are 89°
4. Since A''B''C''D'' is a rigid transformation of ABCD, then the perimeter of A''B''C''D'' is the same as the perimeter of ABCD, which is 6 + 6 + 8 + 6.3 = 26.3
Once we have categorized an object, our memory of the object increasingly resembles thecategoryA) algorithm.B) prototype.C) heuristic.D) mental set
Once we have categorized an object, our memory of the object increasingly resembles the category is B) prototype. This means that when we categorize an object, our memory of it begins to resemble the prototype or typical example of that category. For example, if we categorize a bird as a robin, our memory of the bird will increasingly resemble the characteristics of a typical robin.
This happens because our brain uses prototypes as a shortcut to process information and make sense of the world around us. We use prototypes to quickly identify objects and make assumptions about their characteristics based on their category.
our memory of an object after categorization is influenced by the prototype of the category. This helps us to quickly process and make sense of information, but it can also lead to errors and biases in our thinking.
A prototype is a mental image or best example of a category. When we categorize an object, our memory of the object increasingly resembles the prototype because we tend to recall the most representative or typical example of the category.
Once we categorize an object, our memory of the object becomes more like the prototype, which is the best example of the category. This is because we tend to remember the most representative or typical examples of a category.
To know more about prototype, visit:
https://brainly.com/question/28187820
#SPJ11
c) How many fifths are there in 20?
Answer:
they are 4 i think
Step-by-step explanation:
5 x 4 = 20
Answer:
100
Step-by-step explanation:
20 divided by 1/5 = 20 x 5/1 = 100
what percentage of $898.01billion is spent on $161.4billion
The percentage of $898.01 billion that is spent on $161.4 billion is equal to 17.97%.
What is a percentage?In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.
In order to determine the percentage, we would use the following mathematical expression:
Percentage = 161.4/898.01 × 100
Percentage = 0.1797 × 100
Percentage = 17.97%
Read more on percentage here: brainly.com/question/11360390
#SPJ1
How do you solve inequality questions?
An inequality like the statement, x + 3 > 5, can be solved by finding the value of the variable, "x", which is x > 2.
How to Solve an Inequality Question?Inequalities are used to express relationships between quantities or values that are not equal. They can be used to describe constraints or limitations on a solution to a problem, or to represent a range of possible values.
Inequality can also be used to describe relationships between variables in algebraic expressions or equations.
To solve an inequality, we need to isolate the variable in the given statement to determine the value of the variable.
For example, given the inequality, x + 3 > 5, in order to solve this inequality, we need to find the value of x by subtracting 3 from both sides:
x + 3 - 3 > 5 - 3
x > 2.
Learn more about solving inequality on:
https://brainly.com/question/24372553
#SPJ1
the amount of time (in hours per week) a student utilizes a math-tutoring center roughly follows the normal distribution y
The amount of time (in hours per week) a student utilizes a math-tutoring center roughly follows the normal distribution \(y = 0.7979e^-(x-5.4)^2/0.5\), where x is the number of hours.
The normal distribution is a bell-shaped curve that is often used to model real-world data. In this case, the normal distribution is used to model the amount of time that students spend at the math-tutoring center. The peak of the bell-shaped curve represents the average amount of time that students spend at the center, which is 5.4 hours per week. The tails of the bell-shaped curve represent the amount of time that students spend at the center that is less than or greater than the average amount of time.
The standard deviation of the normal distribution is 0.5 hours. This means that about 68% of the students spend between 4.9 and 6 hours at the center per week. About 16% of the students spend less than 4.9 hours at the center per week, and about 16% of the students spend more than 6 hours at the center per week.
The normal distribution is a useful tool for understanding the amount of time that students spend at the math-tutoring center. It can be used to estimate the average amount of time that students spend at the center, and it can be used to determine the amount of time that students spend at the center that is less than or greater than the average amount of time.
Learn more about normal distribution here:
brainly.com/question/27794897
#SPJ11
How do you write 3/4 as a percentage? Write your answer using a percent
sign (%). *
your answer
Please fill out this field.
Answer:
the answer is 75%
Step-by-step explanation:
To write 3/4 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % . 3/4 * 100 = 0.75 * 100 = 75%. And finally we have: 3/4 as a percent equals 75%.
The percentage value of 3/4 is 75%.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
The given number is 3/4,
To convert 3/4 in percentage, use percentage property,
1%=1/100
⇒1=100%
⇒3/4= 75%
So 75% is the percentage value of 3/4.
To know more about Percentage on:
https://brainly.com/question/24120406
#SPJ2
A house was valued at $275,000. Over several years, the value decreased by 18%, giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value. Write your answer as a decimal.
New value = __ x Old value
(b) Use your answer in part (a) to determine the new value.
New value: __
the new value of the house is $225,500. we can solve this by substituting the given information into the equation from part (a)
what is equation ?
An equation is a mathematical statement that uses an equal sign to show that two expressions have the same value. Equations are used to represent a wide range of relationships between variables
In the given question,
(a) To write the new value in terms of the old value, we can use the fact that the value decreased by 18%, which means that the new value is equal to 100% - 18% = 82% of the old value. So, we can write:
New value = 0.82 x Old value
(b) To determine the new value, we can substitute the given information into the equation from part (a):
New value = 0.82 x 275,000
New value = 225,500
Therefore, the new value of the house is $225,500.
To know more about equation , visit:
https://brainly.com/question/29657983
#SPJ1
Help please middle school math. The difference between 3 times a number x and 2 is 19. What is the value of x?
A. 7
B. 6
c. 5
D 1
Answer:
A. 7
Step-by-step explanation:
The difference between 3 times a number x and 2 is 19 is the same as writing an equation that is 3x-2=19.
Use this equation to solve for x.
3x-2=19 (Add 2 to both sides)
3x=21 (divide by 3)
x = 7
PLEASE NEED ANWSER URGENT
The number of seeds that Frank will plant, expressed in algebraic form, is equal to 6b + 10.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are Given that, b and (5b + 10) are the seeds to be planted by Frank in different gardens, the number of seeds Frank is going to plant can be expressed in algebraic form by adding both expressions together.
Since Like terms with the same variables are added together.
Thus:
b + 5b + 10
6b + 10
Therefore, the number of seeds that Frank will plant, expressed in algebraic form;
6b + 10.
Learn more about algebraic expression on:
brainly.com/question/12470265
#SPJ1
Which statement about the graph of y = 1/3(2/3)^x is true?
A The graph has a vertical asymptote.
B The graph crosses the y-axis at (0,7).
C The graph has an asymptote aty 1 3
D The graph decreases from left to right.
Plz help
Answer: the answer D is correct and is proven to be correct
Step-by-step explanation:
What are the a, b, &c for the following Quadratic Equation:
y = -2x2 +6X-8
Answer:
\(y = a {x}^{2} + bx + c \\ y = - 2 {x}^{2} + 6x - 8 \\ so \\ a = - 2 \\ b = 6 \\ c = - 8\)
Hhelp with this one please!
A. 87
B. 88
C. 24
D. 1120
Which one??
Answer:
Area: 71 in²
Perimeter: 35 in
Step-by-step explanation: