Given that the USDA reported the acreage for wheat in 2019 was approximately 45.6 million acres; and was down 5% from 2018. We were asked to pick an option that would represent the right conclusion to the given statement.
To do this, we would assume that the acreage for wheat in 20 18 is x. Since 2018 differs from 2019 by 5%
This implies that the representation of 2019 acreage would be;
\(100\text{\%-5\%=95\%}\)Therefore, we can have
\(\begin{gathered} \frac{95}{100}\times x=45.6 \\ \text{Cross multiply} \\ 95x=45.6\times100 \\ \text{Divide both sides by 95} \\ \frac{95x}{95}=\frac{45.6\times100}{95} \\ x=48 \end{gathered}\)Therefore the 2018 acreage was;
Answer: Option B
With the given information and what you are able to determine, can you conclude that A || B?
P || Q
M<2 = 8x + 14
M<4 = 13y + 19
M<12 = 15y + 5
M<13 = 10x - 10
Answer:
yes, A║B
Step-by-step explanation:
Given that P║Q, alternate exterior angles 2 and 13 are congruent. This means ...
8x +14 = 10x -10
24 = 2x . . . . . . . . . . subtract 8x-10
Then the measures of these angles are ...
5(2x) -10 = 5(24) -10 = 110 . . . . measure of angles 2 and 13
__
Similarly, corresponding angles 4 and 12 are congruent. This means ...
13y +19 = 15y +5
14 = 2y
7 = y
Then the measures of these angles are ...
15(7) +5 = 110 . . . . measure of angles 4 and 12
Angles 2 and 4 are corresponding. We have demonstrated that they have the same measure, so lines A and B must be parallel.
ANSWER WHATEVER YOU WANT FOR EZ POINTS!!!!!!
Hai i hope doing well!!!!
which expression is a cube root of -2i?
The cube root of -2i,
⇒ ∛2[ cos(π/6) + i sin(π/6) ]
We can represent -2i in polar form as,
r(cosθ + i sinθ)
by computing its magnitude and angle.
The magnitude of -2i is 2
Since the absolute value of any imaginary number is equal to its magnitude.
To find the angle θ,
We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.
In this case,
The opposite side is -2 and the adjacent side is 0.
Therefore, we have tanθ = -2/0, which is undefined.
However,
We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.
So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).
Now, we need to find the value of θ/3. Since θ is undefined,
we will represent it as π/2 + 2πn,
where n is any integer.
So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.
Therefore, the cube root of -2i is equal to
⇒ ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]
Now put n = 0
⇒ ∛2[ cos(π/6) + i sin(π/6) ]
This is the final form of the cube root of -2i in the required form.
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used to parallel lines cut by transversal below to answer the question. which statement is not a true statement will mark brainest
Answer:
B
Step-by-step explanation:
there is no angle e unless i am reading this incorrectly, but i double-checked all the other answer choices and they are all correct, so B is the answer:)
Answer:
see attached
Step-by-step explanation:
Which of the following are remote interior angles of Z1? Check all that apply.
1
5
6
3
2.
A. 24
B. 23
C. 22
D. 26
E. 21
F. 25
URGENT PLS HELP! bag contains 25 white marbles and 10 black marbles you pick one marble at random what is the probability that you pick a black marble
Answer:
The answer is 28.6
Step-by-step explanation:
10/35 you get it in a percentage
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.
The stem-and-leaf plot of the given data is attached.
A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:
The percentages are concentrated from 20% to 60% as these concentrations have more than one values. These data are fairly symmetric, perhaps slightly skewed right, considering the midpoint, 4.5, there are fairly equal number of values on each side, perhaps a little more on the right side.There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands, as there are no values corresponding to 1, or no values between 10 and 19 percent.Learn more about Stem-and-leaf plot:
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The table below represents a frequency distribution for the age (in years) of employees at a particular company.
Age (in years) Frequency
23-29
25
30-36
41
37-43
37
Use the table to answer the following questions.
Your answers should be exact numerical values
The class width used for the frequency distribution is
The class midpoint for the class 23-29 is
The class midpoint for the class 30-36 is
The class midpoint for the class 37-43 is
Check
The class width used for the frequency distribution is 6.
The class midpoint for the class 23-29 is 26.
The class midpoint for the class 30-36 is 33.
The class midpoint for the class 37-43 is 40.
To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:
23-29
30-36
37-43
For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:
Class width = 29 - 23 = 6
So, the class width for the frequency distribution is 6.
To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.
For the class 23-29:
Class midpoint = (23 + 29) / 2 = 52 / 2 = 26
For the class 30-36:
Class midpoint = (30 + 36) / 2 = 66 / 2 = 33
For the class 37-43:
Class midpoint = (37 + 43) / 2 = 80 / 2 = 40
So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.
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6. A company car purchased for $39,600 depreciates at 12% per annum. What is the car
worth after 3 years?
Answer:
$26,986.29
Step-by-step explanation:
We can use the formula for calculating the depreciation of an asset over time:
wor
\(\bold{D = P(1 - \frac{r}{100} )^t}\)
where:
D= the current value of the asset
P = the initial purchase price of the asset
r = the annual depreciation rate as a decimal
t = the number of years the asset has been in use
In this case, we have:
P = $39,600
r = 12% = 0.12
t = 3 years
Substituting these values into the formula, we get:
\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)
Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.
Answer:
$26,986.29
Step-by-step explanation:
As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.
Exponential Decay formula\(\boxed{f(t)=a(1-r)^t}\)
where:
f(t) is the value of the car (in dollars) after t years.a is the initial value of the car.r is the depreciation rate (as a decimal).t is the time period (number of years after purchase).In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:
\(f(t)=39600(1-0.12)^t\)
\(f(t)=39600(0.88)^t\)
To calculate the value of the car after 3 years, substitute t = 3 into the function:
\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)
Therefore, the car is worth $26,986.29 after 3 years.
Help Now Important
4(x−2+y)=
Answer:
4(x-2 +y) = 4x-8+4y
Step-by-step explanation:
You have to apply the distributive law
4(x-2+y) = 4x + 4 (-2) + 4y
Then solve it which equals
4 x +4 (-2) + 4y
Then multiply the numbers
4 (-2) = -8
Which gets you 4x-8+4y
could i have super quick help before i'm out of time?
Answer:
Part (a)
Given quadratic: \(y=x^2+2x-8\)
Factored form
To factor, find two numbers that multiply to -8 and sum to 2: 4 and -2
Rewrite the middle term of the quadratic as the sum of these number:
\(\implies y=x^2+4x-2x-8\)
Factorize the first two terms and the last two terms separately:
\(\implies y=x(x+4)-2(x+4)\)
Factor out the common term \((x+4)\):
\(\implies y=(x-2)(x+4)\)
Zeros
The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0
\(\implies y=0\)
\(\implies (x-2)(x+4)=0\)
\(\implies (x-2)=0\implies x=2\)
\(\implies (x+4)=0\implies x=-4\)
Therefore, the zeros are 2 and -4
Vertex
The x-coordinate of the vertex is the midpoint of the zeros.
\(\textsf{midpoint}=\dfrac{-4+2}{2}=-1\)
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
\(y=(-1)^2+2(-1)-8=-9\)
Therefore, the vertex is (1, -9)
------------------------------------------------------------------------------------------------
Part (b)
Given quadratic: \(y=-x^2-9x-14\)
Factored form
To factor, first factor out -1:
\(y=-(x^2+9x+14)\)
Now find two numbers that multiply to 14 and sum to 9: 7 and 2
Rewrite the middle term of the quadratic as the sum of these number:
\(y=-(x^2+2x+7x+14)\)
Factorize the first two terms and the last two terms separately:
\(y=-(x(x+2)+7(x+2))\)
Factor out the common term \((x+2)\):
\(y=-(x+7)(x+2)\)
Zeros
The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0
\(\implies y=0\)
\(\implies -(x+7)(x+2)=0\)
\(\implies -(x+7)=0 \implies x=-7\)
\(\implies (x+2)=0 \implies x=-2\)
Therefore, the zeros are -7 and -2
Vertex
The x-coordinate of the vertex is the midpoint of the zeros.
\(\textsf{midpoint}=\dfrac{-7+(-2)}{2}=-4.5\)
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
\(y=-(-4.5)^2-9(-4.5)-14=6.25\)
Therefore, the vertex is (-4.5, 6.25)
Use the drop-down menu to complete the statement. What is 3 divided by 2/5?
Answer:
0.3
Step-by-step explanation:
Tell me if it's wrong I have another answer
Answer:
2/5 is the correct answer.
Step-by-step explanation:
Which triangles are similar to △A, B, C? Triangle. Side A C has a side length of eight. Side length A B has a side length of five. Side length B C has a side length of seven. Triangle A B C. Side A C has a side length of eight. Side length A B has a side length of five. Side length B C has a side length of seven. Choose 1 answer: Choose 1 answer: (Choice A) Triangle D E F. Side D E has a side length of ten. Side length E F has a side length of ten. Side length D F has a side length of ten. △ D, E, F . Side D E has a side length of ten. Side length E F has a side length of ten. Side length D F has a side length of ten. △ � Triangle G H I. Side G H has a side length of six. Side length H I has a side length of nine. Side length G I has a side length of ten. △ G, H, I only B Triangle G H I. Side G H has a side length of six. Side length H I has a side length of nine. Side length G I has a side length of ten. △ , I only (Choice C) Both (Choice D) Neither
its the geometry - Similarity : unit test / high school
The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.
If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.
In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.
Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.
Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.
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Complete Question:
Define triangle is △ABC similar to Similarity property and why?
Which triangle is △abc similar to and why? responses △abc is similar to △ghi by aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , , a a similarity postulate, ., △abc is similar to △jkl by aa similarity postulate. triangle a b c, is similar to , triangle j k l, by , , a a similarity postulate, , . △abc is similar to △def by aa similarity postulate. triangle a b c, is similar to , triangle d e f, by , , a a similarity postulate, , . △abc is not similar to any of the triangles given.
Statistics question
Considering the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.
How did we arrive at this assertion?The null and alternative hypotheses are as follows:
H o: p ≤ 0.23 (proportion of men who own cats is less than or equal to 23%)
H a: p > 0.23 (proportion of men who own cats is larger than 23%)
The test is right-tailed because the alternative hypothesis states that the proportion is larger than 23%.
Based on a sample of 40 people, with 15% of them owning cats, we can calculate the p-value.
To find the p-value, we need to use the binomial distribution and calculate the probability of observing a result as extreme or more extreme than the one obtained under the null hypothesis.
Let's calculate the p-value:
p = 0.15 (proportion of men in the sample who own cats)
n = 40 (sample size)
p-value = P(X ≥ 0.15 x 40) = P(X ≥ 6)
Using a binomial calculator or software, we can find that P(X ≥ 6) is approximately 0.162.
Since the p-value (0.162) is greater than the significance level of 0.10, we fail to reject the null hypothesis.
Therefore, based on the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.
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what is the smallest number to be subtracted from 9610,so that the remainder will be a perfect square
Answer:
Hello,
Answer 6
Step-by-step explanation:
\(\sqrt{9610} =98,03060...\\\\ENT(\sqrt{9610})=98\\\\9610-98^2=9610-9604=6\\\\\)
The smallest number to be susbtracted is 6
Find AB given A (-4,1) and B(3,-1)
Answer:
See attached image
Step-by-step explanation:
See attached image
Two bike messengers, Jerry and Susan, ride in opposite directions. If Jerry rides at the rate of 20 km/h, at what rate must Susan ride if they are 150 kilometres apart in 5 hours? With chart
Answer:
10km/h
Step-by-step explanation:
speed = distance/time
s = 150/5
s = 30km/h
the total must be 30km/hr
less the 20km/hr that Jerry is going
is the speed Susan must go in the opposite direction
30 - 20 = 10
10km/h
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:
y = mx + c
Where:
m represents the slope.c represents the y-intercept.x and y are the data points.What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the information provided regarding the equations and graphs, the y-intercept are as follows:
The y-intercept of y = 4x + 5 is equal to 5.The y-intercept of this graph with point (0, 4) is 4.Read more on y-intercept here: brainly.com/question/19576596
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If two rectangles have the same perimeter, do they have to be congruent?
Explain your thinking,
9514 1404 393
Answer:
no
Step-by-step explanation:
For the perimeter to be the same, the sum of side lengths must be the same. That does not mean the side lengths themselves must be the same.
A 4×4 rectangle (square) and a 5×3 rectangle have the same perimeter, but are not congruent.
Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.
We shade the area where the circles for D and E overlap because the equation (D ⋃ E) denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.
The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.
The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.
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What the domain and range please help meee
Answer:
For question 3 on the worksheet Domain is -4<=x<=2 and Range is -4<=y<=4
Step-by-step explanation:
For the domain, we know that the x values are between -4 and 2 and for the Range we know that the y values are between -4 and 4.
Select the correct product of (x + 3)(x - 5). CX - 15 X5 + 3x - 5x2 - 15 X - 15 C x + 3x - 5x - 15
Distributive property:
\((a+b)(c+d)=ac+ad+bc+bd\)Multiplication of powers with the same base:
\(a^m\cdot a^n=a^{m+n}\)For the given expression:
\(\begin{gathered} (x^2+3)(x^3-5)=x^2\cdot x^3+x^2\cdot(-5)+3\cdot x^3+3\cdot(-5) \\ \\ =x^{2+3}-5x^2+3x^3-15 \\ =x^5-5x^2+3x^3-15 \\ =x^5+3x^3-5x^2-15 \end{gathered}\)Answer is the second option
Let f(x)=x-1 and g(x) = x2 + 4.
Find (fog)(-6).
Then (fog)(-6)= (Simplify your answer.)
Answer:
(fog)(-6) = 39
Step-by-step explanation:
Look at the image for the explanation :)
guys its a written response helpp
Answer:
1. C = $1.65p
2. $260.10 ÷ $1.65 = 157.64 because we need to round it will be rounded up to 158 pounds
If R1 is reflection on x=0 and R2 is reflection on x=3 then what is the single transformation under R1oR2
The single transformation under R1oR2 is a translation of (4, 0) in the positive x-direction.
What is transformation?
In mathematics, a transformation is a process of changing the position, size, or shape of a geometric figure.
The composition of two reflections, R1 and R2, is equivalent to a single translation. We can find the translation vector by considering the effect of the two reflections on a point in the plane.
Let's consider the point (1, 1) as an example. The reflection R1 in the line x = 0 maps the point (1, 1) to (-1, 1). The reflection R2 in the line x = 3 maps the point (-1, 1) to (5, 1).
Therefore, the transformation under R1oR2 maps the point (1, 1) to (5, 1). This can be represented as a translation of (4, 0) in the positive x-direction.
Hence, the single transformation under R1oR2 is a translation of (4, 0) in the positive x-direction.
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Convert the expression 9 1/2 to a radical expression
Answer:
3
Step-by-step explanation:
9 1/2
(3^2) 1/2
3rd rule of multiplication
3^(2*1/2)
3^1 = 3
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
1. >
2. <
3. =
4. <
Step-by-step explanation:
23.197 > 23.179
3 2/10 which is the same as,
3.2 < 3.243
30.423 = 30 423/1000
18.546 < 18 56/100
Select the correct answer.
The vertex of a parabola is at the origin, and its focus is at (0,1/8). Which function does the graph with these attributes represent?
(GIVING BRAINLIEST)
The function that the attributes represented in the graph is f(x)=2x².
So, option A is correct.
What is meant by parabola?A parabola is a planar curve that is mirror-symmetrical and approximately U-shaped in mathematics. It fits multiple seemingly dissimilar mathematical descriptions, all of which can be shown to define the same curves.
A parabola is described as having a point (the focus) and a line (the directrix). The directrix is not the focus. The parabola is the point in that plane that is equidistant from the directrix and the focus. A parabola is also known as a conic section because it is formed by the intersection of a right circular conical surface and a plane parallel to another plane tangential to the conical surface.
Given,
Vertex(0,0) ---->(h, k)
Focus(0,1/8)
As we see focus and vertex lie on x=0
Thus, the axis of symmetry is the vertical line
(x-h)²=4a(y-k)
(x-0)²=4a(y-0)
x²=4ay
a= (1/8)-0
a=1/8
As x-coordinates are same
x²=4(1/8)y
x²=y/2
y=2x²
∴f(x)=2x²
Therefore, option A is correct.
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Let R(x) =X-3/x-4. Solve for R(x) <= 0.
The value of x in the function r(x) = x - 3/x-4 is equal is 3.
To solve this problem, all that is required from us is simply substitute the values and solve for the value of x.
Data;
R(x) = x-3/x-4R(x) = 0What is a Function?A function from a set A to a set B assigns to each element of A exactly one element of B. The set A is usually the domain of the function while the set B is the codomain of the function.
Given that the function R(x) is
\(R(x) = \frac{x-3}{x-4}\)
And also, R(x) is equal to 0.
\(R(x) = \frac{x-3}{x-4}\\ 0= \frac{x-3}{x-4} \\0(x-4) = x - 3\\0 = x- 3\\x = 3\)
The value of x in the function is 3.
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rewrite the expression without absolute value bars
The expression without absolute value bars is 3.84.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
|√10 - 7 |
= | 3.16 - 7 |
= | -3.84 |
= 3.84
Thus,
The value of the expression is 3.84.
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