Let's analyze each step.
Step 1 to Step 2: here, Irene used the distributive property of multiplication to get rid of the parenthesis. She have done this correctly, with the sign and everythig - ok
Step 2 to Step 3: now, she added "-18" and "+10" with the correct result of "-8" - ok
Step 3 to Step 4: Next, she added "8" to both sides, which cancels the "-8" in the left side and add "8" to "-2", ending with 6, this is correct - ok
Step 4 to Step 5: Here, she divides both sides by "-6". The intention is correct, but when we divide both sides by a negative value in an inequality, we need to change the direction of the inequality sign. So, the Step 5 should have been:
\(x>-1\)Thus, the mistake is made from step 4 to step 5, fourth alternative.
Below are two graphs that show the same data. Graph A is drawn with a break in the vertical axis. Graph B is drawn without the break. Graph A A bar graph titled U S Endangered Species has Group on the x-axis, and number of species on the y-axis, from 50 to 85 in increments of 5. Mammals, 56; Birds, 75; Fish, 70. Graph B A bar graph titled U S Endangered Species has Group on the x-axis, and number of species on the y-axis, from 0 to 80 in increments of 10. Mammals, 56; Birds, 75; Fish, 70. Describe the effect the change in scale has on what the graph suggests. a. On graph B, the group of birds seems to have twice as much as the group of mammals. b. The differences between the groups seems much less in Graph A. c. The differences between the groups seems much less in Graph B. d. On graph A, the group of mammals seems to have one-quarter as much as the group of fish.
On graph B, the group of birds seems to have twice as much as the group of mammals.
The change in scale on the y-axis from 50 to 85 in increments of 5 in Graph A to 0 to 80 in increments of 10 in Graph B makes the differences between the groups appear larger in Graph B.
As a result, the height of the bar for birds is approximately twice as much as the height of the bar for mammals in Graph B, which may not be apparent in Graph A.
Therefore, the correct option is (a) On graph B, the group of birds seems to have twice as much as the group of mammals.
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If you only have a 1/3 measuring cup and a recipe calls for 12 2/3 cups of flour, how many 1/3 cups would you need to use? 1/3 * t th cups
If we have a 1/3 measuring cup and a recipe calls for 12 and 2/3 cups of flour,then we would need 38 number of cups.
Given that we have a 1/3 measuring cup and a recipe calls for 12 and 2/3 cups of flour.
We are required to find the number of cups that are needed.
Fraction is the combination of two numbers,one above the division sign and other one below the division sign. The number which is above the division sign is known as numerator and the number which is below the division sign is known as denominator.
Measuring cup=1/3
Number of cups needed in recipe=12+2/3=38/3
Number of cups needed=38/3/1/3
=38 cups
Hence if we have a 1/3 measuring cup and a recipe calls for 12 and 2/3 cups of flour,then we would need 38 number of cups.
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1 square meters to square centimeters
*16. Camping Norman's camping tent has a volume of 72.576 cubic inches. What is the
volume of the tent in cubic feet?
1 square meter is equivalent to 0.0001 square centimeter
72.576 cubic inches. in cubic feet is 0.042 cubic feet
Conversion in math is a way of changing the value of an expression using units.
1) In order to change 1 square meter to square centimeters, we will use the conversion
1m = 0.01cm
Taking the square of both sides
(1m)² = (0.01cm)²
1m² = 0.01cm * 0.01cm
1m² = 0.0001cm²
This shows that 1 square meter is equivalent to 0.0001 square centimeter
2) We are to convert 72.576 cubic inches to cubic feet. Using the conversion factor:
1 cubic inch = 0.000578704 cubic feet
72.576 cubic inches = x
Cross multiply
x = 72.576 * 0.000578704
x = 0.042 cubic feet
This shows that 72.576 cubic inches. in cubic feet is 0.042 cubic feet
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Which term best describes the two lines represented by the equations below?
y=4/3x- 5
y=4/3x+3
Answer:
No solutionsStep-by-step explanation:
The two equations form two parallel lines because their slopes are the same, but their y-intercepts are different. This means that the equation of the two lines have no solutions. Please check out my graph to understand better.
Marvin runs on a regular basis, but he knows he could get injured if he runs long distances too frequently. How far will he run if he wants to run 75% of his distance from last week, when he ran 20 total miles
In one year, 30,000 sheep on his property in the next year because of the drought the farmer reduced his flock by 37% The number of sheep he has after the fall in numbers is
Answer:
11,100
Step-by-step explanation:
1% of 30,000 is 300 so if we times 300 by 37 we get 11,100
there is 11,100 sheep in 37%.
hope this helps :)
(T 4 Marks + C 1 Marks)
Two rectangles contain the same area, 480 square metres. The difference of their length is
10 m and the difference in their widths is 4 m. Find their sides.
Answer:
length= 40cmwidth= 120cmStep-by-step explanation:Area of a rectangle= lenght× width
Dimensions of 1st rectangle: L,W
Dimensions of 2nd rectangle: L+10; W+4
Hence,
LW = 480__________(1)
(L-10)(W+4) = 480_______(2)
LW = LW+4L - 10W - 40
4L = 10W +40
2L = 5W + 20
L = (5/2)W + 10_________(3)
But LW = 480 (from equation one)
So, W = 480/L
substitute as= 480/L into equation (3)
L = (5/2)(480/L)+10
L = 1200/L + 10
L^2 - 10L - 1200 = 0
factorising.
we're have,
(L-40)(L+30) = 0
therefore, since L can't be negative , L = 40
L = 40 cm (length)
Then 480/L = W = 120 cm (width)
therefore L= 40cm and W= 120cmf(x)=\(\sqrt{x^2-4}\), x\(\leq \}\)0
find \((f^-^1)'(1)\)
I keep getting the wrong answer. The correct answer is\(\frac{1}{\sqrt{5} }\)
Solve for x when √(x ² - 4) = 1 :
√(x ² - 4) = 1
x ² - 4 = 1
x ² = 5
x = ±√5
We're looking at x ≤ 0, so we take the negative square root, x = -√5.
This means f (-√5) = 1, or in terms of the inverse of f, we have f ⁻¹(1) = -√5.
Now apply the inverse function theorem:
If f(a) = b, then (f ⁻¹)'(b) = 1 / f '(a).
We have
f(x) = √(x ² - 4) → f '(x) = x / √(x ² - 4)
So if a = -√5 and b = 1, we get
(f ⁻¹)'(1) = 1 / f ' (-√5)
(f ⁻¹)'(1) = √((-√5)² - 4) / (-√5) = -1/√5
The sign must be negative; see the attached plot, and take note of the negatively-sloped tangent line to the inverse of f at x = 1.
¨do you know what complex numbers are? Can you divide two complex numbers? Give us an example here!¨
A complex number z is a number of the form z = a + bi where a and b are real numbers, and i is the imaginary number, defined as the solution for i² = - 1.
We can indeed divide complex numbers. Let's take the numbers 1 + i and 1 - 2i for example. Dividing the first number by the second, we have
\(\frac{1+i}{1-2i}\)To solve this division, we need to multiply both the numerator and denominator by the complex conjugate of the denominator
\(\frac{1+\imaginaryI}{1-2\imaginaryI}=\frac{1+\imaginaryI}{1-2\imaginaryI}\cdot\frac{1+2i}{1+2i}=\frac{(1+i)(1+2i)}{(1-2i)(1+2i)}\)Expanding the products and solving the division, we have
\(\frac{(1+\imaginaryI)(1+2\imaginaryI)}{(1-2\imaginaryI)(1+2\imaginaryI)}=\frac{1+3i-2}{1+4}=\frac{-1+3i}{5}=-\frac{1}{5}+\frac{3}{5}i\)And this is the result of our division
\(\frac{(1+\imaginaryI)}{(1-2\imaginaryI)}=-\frac{1}{5}+\frac{3}{5}i\)Clyde has a cone shaped party hat. The height of the hat is 10 inches, and the radius of the base of the hat is 4 inches. What is the area of a vertical cross section through the center of the base of the party hat. HINT: Use the formula A= 1/2 bh to find the area of the cross section
The given problem can be exemplified in the following diagram:
The area of a triangle is given by:
\(A=\frac{1}{2}bh\)Where "b" is the base and "h" is the height. We have the following values:
\(\begin{gathered} b=4+4=8 \\ h=10 \end{gathered}\)Replacing in the formula we get:
\(A=\frac{1}{2}(8)(10)\)Solving the operation:
\(A=40\)Therefore, the area is 40 square inches.
Please help. Given m || n, find the value of x.
112 degrees
Which pair
angles must be supplementary?
21
5
3 4
4 and 1
Step-by-step explanation:
Supplementary means the angle is 180 degrees so 4 is the only complete obvious 180 degree angle and 1 just cause i know it can't be 5.
Answer:
C. 4 and 5
I hope I was able to help.
Which set of equations has (-4,1) as its solution?
A and B
B and D
A and C
B and C
You roll a 6-sided die.
What is P(2)?
Write your answer as a fraction or whole number.
Answer: The probability of rolling a 2 on a 6-sided die is 1/6.
Step-by-step explanation:
The probability of getting 2 on the die P(2) is 1/6.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, We roll a six-sided die,
So, Sample space N(S) = 1, 2, 3, 4, 5, 6 = 6.
N(2) = 1
∴ The probability of getting the number 2 when we throw a die is
P(2) = N(2)/N(S).
P(2) = 1/6.
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What are the solutions to the quadratic equation below?
10x17x+3=0
O A.
x=-
x=-- and x = -1/
5
O B. x=² and x = 1/
X
O C. x=
3
10
15
and x = 1
OD. x=3 and x = 1
Answer:
The given quadratic equation is: 10x^2 + 7x + 3 = 0.
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 10, b = 7, and c = 3.
Substituting these values into the formula, we get:
x = (-7 ± sqrt(7^2 - 4(10)(3))) / 2(10)
x = (-7 ± sqrt(49 - 120)) / 20
x = (-7 ± sqrt(-71)) / 20
Since the square root of a negative number is not a real number, this quadratic equation does not have any real solutions. Therefore, none of the options (A), (B), (C), or (D) are correct.
Find the area of the figure. (Sides meet at right angles.)
15 yd
9 yd
9yd
5 yd
5 yd
5 yd
4 yd
4 yd
Answer:
115 square yards
Step-by-step explanation:
yeah-ya....... right?
The area of the figure is 115 yd².
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
A figure:
This can be assumed to have two rectangles and one square.
Two rectangles are equal with dimensions:
Length = 9 yd
Width = 5 yd
The square has side = 5 yd.
Now,
Area of the figure.
= 2 x area of rectangle + area of the square
= 2 x (length x width) + side²
= 2 x (9 x 5) + 5²
= 2 x 45 + 25
= 90 + 25
= 115 yd²
Thus,
The area is 115 yd².
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Ben dove to a depth of 500 feet. Sabrina dove to a depth of 250 feet. Which diver is at the higher elevation?
Answer:
Sabrina is at a higher elevation.
Step-by-step explanation:
She has dropped less than Ben, so she is higher up.
In Exercises 9 to 14, find the limit of each function at the given point, or explain why it does not exist. 10. f(z) = Arg z at Zo--1 11. f(z) = (1-Im z)-1 at z,-8 and then at zo-8 +1 12.f(z) = (z _ 2) log(z-21 at zo = 2 13, f(z) =-, z#0 at zo = 0 14. f(z) = 2+21,
Previous question
The limit of each function at the given point i n the question 10 to 14, is explained below.
Limit Of A function:A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.
When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a
10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.
11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.
However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.
12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.
13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.
14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.
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Help me please!!!
Whoever answers right gets brainliest!
The equation that best describes the relation is y = -x+1 ( optionD)
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Taking x(0,1) and y ( 1,0)
therefore the slope of the line
= 0-1/1-0
= -1/1 = -1
the equation a line is given as
y-y1 = m(x-x1)
= y-1 = -1( x - 0)
= y-1 = -x
y = -x +1
therefore the equation that describe relation is y = 1-x or y = -x+1
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Identify the algebraic rule that would translate a figure 3 units left and 2 units up.
The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). Option B.
To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.
When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.
Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.
Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.
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What is the slope of the line that passes through the points (4,8) and (8,6)? Write your answer in the simplest form
Please help I am so confused and I would really appreciate it ♥️♥️
Solve 4(p - 15)=312 please
Answer:
p = 93
Step-by-step explanation:
4(p - 15)=312
4p - 60 = 312
4p - 60 + 60 = 312 + 60
4p = 372
4p/4 = 372/4
p = 93
Answer:
the answer is 93......
Write a formula for the nth term of the arithmetic sequence
1, -3, -7, - 11, - 15...
The formula for the nth term of the sequence is an
Answer:
Step-by-step explanation:
\(a_{1}=1\\d=-3-1=-4\\a_{n}=a_{1}+(n-1)d\\a_{n}=1+(n-1)(-4)\\a_{n}=1-4n+4\\a_{n}=5-4n\)
A primary credit card holder has a current APR of 15.75%. What is the monthly periodic interest rate, rounded to the nearest hundredth of a percent?
O 15.75%
O 13.13%
O 1.31%
O 0.01%
the mοnthly periοdic interest rate, rοunded tο the nearest hundredth οf a percent is (C) 1.31%
What dοes mοney interest mean?Any lοans and bοrrοwings cοme with interest. the percentage οf a lοan balance that lenders use tο determine interest rates. Cοnsumers can accrue interest thrοugh lending mοney (via a bοnd οr depοsit certificate, fοr example), οr by making a depοsit intο a bank accοunt that pays interest.
We must divide its yearly percentage rate (APR) by 12 tο determine a mοnthly periοdic interest rate (the number οf mοnths in a year).
Hence, the periοdic interest rate fοr each mοnth is:
15.75% / 12 = 1.3125%
The result οf rοunding tο the clοsest hundredth οf such a percent is:
1.31%
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1.ABCD is a rectangle.its diagonals meet at O.lif AO = 5x-1 and BO =
4x+9.find the length of the diagonals.(lengths in cm)
Answer:
\(Length = 98\)
Step-by-step explanation:
Given
\(AO = 5x - 1\)
\(BO = 4x + 9\)
Required:
The length of the diagonal
Since AO and BO are diagonals that meets at O, we have:
\(AO=BO\)
This gives
\(5x - 1 = 4x + 9\)
Collect Like Terms
\(5x - 4x = 1 + 9\)
\(x = 10\)
Subsitute 10 for x in \(AO = 5x - 1\)
\(AO = 5 * 10 - 1\)
\(AO = 50 - 1\)
\(AO = 49\)
The length of the diameter is:
\(Length = AO * 2\)
\(Length = 49 * 2\)
\(Length = 98\)
find x and y ILL GIVE BRAINLIESTTTT
Answer:
y =90° x =70°
Step-by-step explanation:
Answer:
x = 70° , opposite angles of the same line with angle 70.
sum of interior angles of trapezium is 360°.
y + 70° + 90° + 110° = 360°
y = 90°
I realy have been struggling to pay attention in class due to some personal reason so i would realy realy realy appreciate if someone could take a sec out of there day to help me with this... And yes i am aware i should be able to find this easy but no cap i actual cant.
Answer:
Put it after Russian
Step-by-step explanation:
Also here is some information to help you with commas:
Use a comma after an introductory clause or phrase. ...
Use a comma between all items in a series. ...
Use commas to set off nonrestrictive clauses. ...
Use a comma to set off appositives. ...
Use a comma to indicate direct address. ...
Use commas to set off direct quotations.
Answer:
ended,
Step-by-step explanation:
I believe the comma should come after the word, "ended" in the first sentence
Keith biked 26 miles today and 32 miles yesterday. Which equation shows m, the number of miles he biked all together?
Answer:
m = 26+32
Step-by-step explanation:
To determine the total number of miles biked, add the days together
m = 26+32
Answer:
26+32=m
Step-by-step explanation:
That is the general eqaution of this, because u must add both days worth of biked miles together.
A sole proprietorship that began business on May 1, 2021, incurred $7,500 of start-up expenses. If the business elects to report the maximum amount of start-up costs as a current expense, what is the amortization amount reported as an "other expense" on Schedule C (Form 1040) for the first year of business?
$0
$111
$167
$333
Based on the start-up expenses to the sole proprietorship, the amortization amount reported as an "other expense" on Schedule C (Form 1040) for the first year of business will be $111.
What is the amortization amount?Before the amortization amount can be calculated, a deduction of $5,000 should be made because the start-up costs were less than $50,000.
The amount to be amortized is therefore:
= 7,500 - 5,000
= $2,500
The amount to be amortized will be amortized over 15 years. As the business started on May 1, 2021, there are only 8 months left in the year.
The amortization amount is:
= (2,500 x 8 months) / ( 15 x 12 months a year)
= $111
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