Answer:
M( -1; 5.5 ) AND B( 18; 10 )
1 5/100 as an improper fraction
The improper Fraction is 21/20.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Mixed Fraction = 1 5/100
As, An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
So, writing the mixed fraction into improper fraction.
1 5/100
= (100+ 5)/ 100
= 105 / 100
= 21/20
Thus, 21 (numerator) > 21 (denominator).
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heyeyeyey yall! How are yall?
Answer:
im good hbu
Step-by-step explanation:
Answer:
im good :)
Step-by-step explanation:
Which expression is equivalent to −4(2x − 8)−2x ?
A-−6x + 32
B- −6x − 32
C- −10x + 32
D-−10x − 32
If the diameter of a frisbee is 10 inches, how much is its circumference?
Answer:
the circumference is 31.4
Step-by-step explanation:
The computation of the circumference is shown below:
As we know that
Circumference is
= 2πr
= 2π (10 ÷ 2)
= 2× 3.14 × 5
= 31.4
Hence, the circumference is 31.4
5. (01.03 MC)
Which of the following is a step in simplifying the expression
? (5 points)
Answer:
A
Step-by-step explanation:
To simplify the expression you first would need to multiple each part of it by -2 in order to remove the parenthesis
Please heeeelp
The following set of ordered pairs represents a function. (1,8), (3,6), (5,4), (7,2)
What is the domain of the function?
A- All odd integers from 1 to 7
B-All integers from 1 to 8
C- All rational numbers from 1 to 7
D- All even integers from 2 to 8
Answer:
I believe it would be all positive numbers 1-7. You have to look at the x, or, input values. I hope I got this right.
Step-by-step explanation:
can you calculate the percent elongation of materials based only on the information given in fig. 2.6? explain.
Fig. 2.6 alone does not provide sufficient information to calculate the percent elongation of materials. Percent elongation is a measure of the increase in length of a material after it has been subjected to a tensile load, and is calculated by dividing the increase in length by the original length and multiplying by 100.
Fig. 2.6 shows stress-strain curves for different materials, which provide information about the relationship between stress and strain for those materials. While the curve shape can provide some insight into the behavior of the material under load, it does not provide information about the original length or the change in length of the material, which are necessary to calculate percent elongation.
In order to calculate percent elongation, additional information about the material's original length and the change in length after a tensile load is required. This information can be obtained through laboratory testing or from material specifications provided by the manufacturer.
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Heather has a thin piece of wood that measures 14 inches long by 13 inches wide. She wants to make a box with a height of 3 inches. Heather says that she has enough wood to make a box that has bases measuring 6.5 inches by 6.5 inches. Do you agree?
Answer:
Yes, I agree. Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.
Step-by-step explanation:
First, we will calculate the area of the piece of wood Heather has
Area (A) = Length (l) × Width (w)
From the question, l = 14 inches and w = 13 inches
A = 14 inches × 13 inches
A = 182 squares inches
Hence, the area of the piece of wood is 182 square inches
Now, we will calculate the total surface area of the box she desires to make
Area (A) of a box is given by
A = 2lw + 2lh + 2wh
Where l is the length
w is the width and
h is the height
She wants to make a box with a height of 3 inches and bases measuring 6.5 inches by 6.5 inches.
i.e h = 3 inches, l = 6.5 inches and w = 6.5 inches
∴ A = 2(6.5×6.5) + 2(6.5×3) + 2(6.5×3)
A = 84.5 + 39 + 39
A = 162.5 square inches
Hence, the area of the box she wants to make is 162.5 square inches
Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.
Answer:
Yes
Step-by-step explanation:
Researchers interested in the perception of three-dimensional shapes on computer screens decide to investigate what components of a square figure or cube are necessary for viewers to perceive details of the shape. They vary the stimuli to include: fully rendered cubes, cubes drawn with corners but incomplete sides, and cubes with missing corner information. The viewers are trained on how to detect subtle deformations in the shapes, and then their accuracy rate is measured across the three figure conditions. Accuracy is reported as a percent correct. Four participants are recruited for an intense study during which a large number of trials are required. The trials are presented in different orders for each participant using a random-numbers table to determine unique sequences.
The sample means are provided below:
The researchers are investigating the perception of three-dimensional shapes on computer screens and specifically examining the components of a square figure or cube necessary for viewers to perceive details of the shape. They vary the stimuli to include fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. Four participants are recruited for an intense study, and their accuracy rates are measured across the three figure conditions. The trials are presented in different orders for each participant using a random-numbers table to determine unique sequences.
In this study, the researchers are interested in understanding how viewers perceive details of three-dimensional shapes on computer screens. They manipulate the stimuli by presenting fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. By varying these components, the researchers aim to identify which elements are necessary for viewers to accurately perceive the shape.
Four participants are recruited for an intense study, indicating a small sample size. While a larger sample size would generally be preferred for generalizability, intense studies often involve fewer participants due to the time and resource constraints associated with conducting a large number of trials. This approach allows for in-depth analysis of individual participant performance.
The participants are trained on how to detect subtle deformations in the shapes, which suggests that the study aims to assess their ability to perceive and discriminate fine details. After the training, the participants' accuracy rates are measured across the three different figure conditions, likely reported as a percentage of correctly identified shape details.
To minimize potential biases, the trials are presented in different orders for each participant, using a random-numbers table to determine unique sequences. This randomization helps control for order effects, where the order of presenting stimuli can influence participants' responses.
The researchers in this study are investigating the perception of three-dimensional shapes on computer screens. By manipulating the components of square figures or cubes, they aim to determine which elements are necessary for viewers to perceive shape details accurately. The study involves four participants, an intense study design, and measures accuracy rates across different figure conditions. The use of randomization in trial presentation helps mitigate potential order effects.
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6. If Aliya can make 10 bracelets in 2 days, how long will it take her to make 35 bracelets? WILL GIVE EXTRA 10 POINTS WILL MARK AS BRAINLIST
a) 175 days
b) 70 days
c) 7 days
d) 5 days
Answer:
C
Step-by-step explanation:
Answer:
7 days
Step-by-step explanation:
We need to find bracelets per day.
1 day 2 days
5 bracelets 10 bracelets
since we know how many bracelets she can make per day, all we have to do is divide 35 by 5.
to get 7 days.
When Akbar’s son was four years old, Akbar put $250 into an account that guaranteed a 10% annual return. The equation f(x)=250(1.10)^x-4 represents the amount of money in the account when the child will be x years old.
Which graph models the scenario?
The graph that models the scenarios must increase upwards since it is a growth rate.
Exponential functionsGiven the exponential function expressed as:
f(x)=250(1.10)^x-4
where
x is the time taken
The graph that models the scenarios must increase upwards since it is a growth rate. The required graph is as shown below;
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Answer:
D on edge
Step-by-step explanation:
what is the value of the 5th term
First term (a1) = -7
Second term (a2) = -2
Common difference: a2 - a1 = -2-(-7) = 5
Hence, Fifth term = a1 + 4d = -7 + 4(5) = 13
(Computer science)
The CPU fan rotation rate (R) was directly proportional to the ambient temperature (T). At a temperature of 25 degrees C, the CPU fan was rotating at 1150rpm. What would the rotation rate be for an ambient temperature of 30 degrees C?
Answer:1380
Step-by-step explanation: proportionality constant equals 1150/25=46. 46x30=1380
The density of an object is equal to the quotient of its mass, and volume. An object has a density of 10g per liter and a volume of 40 liters. What is its mass in grams.
Answer:
400 grams
Step-by-step explanation:
If the equation is density = mass / volume, fill it out to find mass
10 = x / 40
400 = x
x = 400 g
Alex has two different size bookends for his bigger books and smaller books. what is the length of the diagonal distance, x, of his smaller bookend? enter your answer, as a decimal, in the box.
The length of the diagonal distance, x, of his smaller bookend is 7.2.
The diagram of the books is given below:
The length of first triangle is 10 and diagonal distance is 12.
The length of second triangle is 6 and diagonal distance is x.
The shape of both triangle is same.
To determine the slant height of second triangle, we use the similar triangle theorem.
Using the theorem
The height of first triangle/The diagonal distance of first triangle = The height of second triangle/The diagonal distance of second triangle
10/12 = 6/x
Multiply by 12 on both side, we get
10 = 72/x
Multiply by x on both side, we get
10x = 72
Divide by 10 on both side, we get
x = 7.2
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Enter the value of x below.
x + 9 = 12
Answer:
x = 3
Step-by-step explanation:
Enter the value of x below.
x + 9 = 12
x = 12 - 9
x = 3
-----------------------------------------------
check
3 + 9 = 12
12 = 12
the answer is good
Answer part A and part B
Answer: Part A: a square pyramid Part B: 84 square feet
Step-by-step explanation:
Part A: The shape will have a base that is a square with triangles on each of its edges that connect at a point at the top.
Part B: The amount of nylon needed is the surface area of the net. There is a square and two triangles. The square has a side length of 6 so its area will be 6*6=36 square feet. Each triangle has a base of 6 and a height of 4 so each of their areas will be \(\frac{6*4}{2}=12\) square feet. Adding up the area of the 4 triangles and the square gives us 4*12+36=84 square feet.
2n>20 Solve the inequality. Graph the solution.
Answer:
n>10
Step-by-step explanation:
2n>20
n>20/2
n>10
14. (10.0 points) Given f(x)=sin(2πx), when x = 0.3, f(x) = 0.951057. Approximate the value of f(0.2) using the first two terms in the Taylor series and Vx=0.1. (Write your answer to 6 decimal points).
Given the function f(x)=sin(2πx), with x = 0.3, f(x) = 0.951057. The objective is to approximate the value of f(0.2) using the first two terms in the Taylor series and Vx=0.1.
We know that the Taylor series for a function f(x) can be written as:f(x)=f(a)+f′(a)(x−a)+f′′(a)2(x−a)2+…+f(n)(a)n!(x−a)n+…The first two terms of the Taylor series are given by:f(x)=f(a)+f′(a)(x−a)The first derivative of f(x) is given by:f′(x)=2πcos(2πx)On substituting x = a = 0.1, we get:f′(0.1) = 2πcos(2π * 0.1) = 5.03118603447The value of f(x) at a=0.1 is given by:f(0.1) = sin(2π * 0.1) = 0.587785252292With a=0.1, the first two terms of the Taylor series become:f(x)=0.587785252292+5.03118603447(x−0.1) = 0.587785252292+0.503118603447x−0.503118603447×0.1Using x=0.2 and substituting the values of a and f(a) in the equation above, we get:f(0.2)=0.587785252292+0.503118603447*0.2−0.503118603447×0.1=0.712261After approximating the value of f(0.2) using the first two terms in the Taylor series,
we can conclude that the value of f(0.2) = 0.712261 with a = 0.1, with an error of approximately 0.012796.
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Find the equation of the linear function z=c+mx+ny whose graph intersects the xz - plane in the line z=4x+10= and intersects the yz - plane in the line z=6y+10
The equation of the linear function is:
z = 10 + 4x + 6y
To find the equation of the linear function, we need to determine the values of c, m, and n in the function z = c + mx + ny.
Since the graph of the function intersects the xz-plane at z = 4x + 10 and the yz-plane at z = 6y + 10, we can use these equations to find the values of c, m, and n.
When the graph intersects the xz-plane (y = 0), we have:
z = c + mx + n(0) = c + mx
Comparing this with z = 4x + 10, we can equate the coefficients:
c = 10 (the constant term)
m = 4 (the coefficient of x)
When the graph intersects the yz-plane (x = 0), we have:
z = c + m(0) + ny = c + ny
Comparing this with z = 6y + 10, we can equate the coefficients:
c = 10 (the constant term)
n = 6 (the coefficient of y)
Therefore, the equation of the linear function is:
z = 10 + 4x + 6y
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Pls help me! Look at this ss
Answer:
4
Step-by-step explanation:
a book is 220 mm in width. what is this width in centimeters?; what is this width in meters?
The width of the book is 20cm and 0.2 mm.
To convert Milimeteres to other units, we can use :
1 cm = 10mm
1 m = 1000mm.
Width in centimeters = 200mm × 1/10
= 200/10 cm
= 20 cm
Width in meters = 200mm × 1/1000
= 200/1000 cm
= 2/10 cm
= 0.2 m
Therefore, the width of the book is 20cm and 0.2 mm.
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correctly rounded, 20.0030 - 0.491 g =
The calculation for correctly rounded 20.0030 - 0.491 g is as follows:
20.0030
- 0.491
= 19.5120
To correctly round this answer, we need to consider the significant figures of the original values. The value 20.0030 has five significant figures, while 0.491 has only three. Therefore, the answer should be rounded to three significant figures, which gives us:
19.5 g
When subtracting values with different significant figures, the answer should be rounded to the least number of significant figures in either value. In this case, the value 0.491 has only three significant figures, so the answer should be rounded to three significant figures.
The correctly rounded answer for 20.0030 - 0.491 g is 19.5 g. It is important to consider the significant figures when rounding the answer, as this ensures that the result is accurate and precise.
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f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is constant
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is a constant.
The solution to the question is shown below.
Step 1: We have given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
We have to find the number of words we have to write to express this function in words.
Step 2: Solution
f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶
Where,
et5+4t = exponential function
ln(t²+3c)⁷ = natural logarithmic function
te-1 = linear function
e⁶ = exponential function
Therefore, f(t) can be expressed in words as:
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Step 3: Conclusion
Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
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easy 8th-grade math question
I really need help please.
I need the 8 characteristics of a square in the quadrilaterals!
I found some of them in internet but is very confusing, please heeeeeeelp :"(
Answer:
In Euclidean geometry, a quadrilateral is a four-sided 2D figure whose sum of internal angles is 360°. The word quadrilateral is derived from two Latin words ‘quadri’ and ‘latus’ meaning four and side respectively. Therefore, identifying the properties of quadrilaterals is important when trying to distinguish them from other polygons. So, what are the properties of quadrilaterals? There are two properties of quadrilaterals:
Step-by-step explanation:
Question
Suppose J=[−1428].
What is the value of ∣∣J∣∣?
Enter your answer in the box.
From the information given about the above matrix, the value of |J| is 16.
What is matrix?It is to be noted that a Matrix, is a set of numbers arranged in rows and columns so as to form a rectangular array.
Given that J = [-1428];
Hence, the determinant of the matrix J is:
|J| = |(-1 * 8) - (4 *2)]
|J| = |-8 - 8|
|J| = | 16|
|J| = 16
Therefore, the value of |J| is 16.
Note: The determinant is a scalar variable in mathematics that is a function of the elements of a square matrix. It enables the characterization of some properties of the matrix as well as the linear map represented by the matrix.
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Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.
Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.
Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.
Step 3:
Combine like terms: (18 + 24) squared = 30 squared.
Step 4:
Evaluate each side: 1764 not-equals 900.
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
Answer:C
Step-by-step explanation:it’s really simple
Answer:
C.
Step-by-step explanation:
Let S = {v1 , , vk} be a set of k vectors in Rn, with k < n. Use a theorem about the matrix equation Ax = b to explain why S cannot be a basis for R^n Let A be an mx n matrix. Consider the statement. "For each b in R^m, the equation Ax -b has a solution." Because of a fundamental theorem about such matrix equations, this statement is equivalent to what other statements? Choose all that apply A. The columns of A span R^m B. Each b in R^m is a linear combination of the columns of A C. The rows of A span R^n D. The matrix A has a pivot position in each row. E. The matrix A has a pivot position in each column.
S cannot be a basis for \(R^{n }\)
What is Matrix ?
A matrix is a rectangular array of numbers or symbols arranged in rows and columns. Matrices are commonly used in mathematics, physics, engineering, computer science, and other fields to represent systems of linear equations, transformations, and other mathematical objects and operations.
The statement "For each b in \(R^{m }\), the equation Ax - b has a solution" is equivalent to the following statements:
A. The columns of A span \(R^{m }\)
B. Each b in \(R^{m }\) is a linear combination of the columns of A.
E. The matrix A has a pivot position in each column.
To explain why S cannot be a basis for \(R^{n }\) , we can use the fact that a set of vectors S = {v1, ..., vk} is a basis for \(R^{n }\) if and only if the matrix whose columns are the vectors in S is invertible. In this case, since k < n, the matrix whose columns are the vectors in S cannot be invertible because it has more columns than rows.
Therefore, S cannot be a basis for \(R^{n }\).
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Solve x + 2x = 12
x = .............................
Solve 2y – 1 = 13
y = .............................
2. Solve 4x 3 = 13
x = ……………
show steps please
Answer:
4
7
4 or 2.5
Step-by-step explanation:
x+2x=3x
12/3=4=x
13+1=14
14/2=7=y
13+/-3=16/10
16/4=4
10/4= 2.5
this one depends wether 3 is negative or positive