8.21 x 10^5 is more than, the same as, less than 821000?
Answers
Answer: The same as
Step-by-step explanation:
Hope this helps
Answer:
Same as
Step-by-step explanation:
Related Questions
Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
Answers
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
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Please help me with this question
Answers
The circle equations for each center and radius are:
1) x² + y² = 81
2) (x + 8)² + (y - 3)² = 16
How to write the equations for the circles?The general equation for a circle of radius R and center (a, b) can be written as:
(x - a)² + (y - b)² = R²
1) We want to find the equation for a circle whose center is (0, 0) and the radius is R = 9, then the equation is:
(x - 0)² + (y - 0)² = 9²
x² + y² = 81
b) Now the center is (-8, 3) and the radius is 4, so the equation is:
(x - (-8))² + (y - 3)² = 4²
(x + 8)² + (y - 3)² = 16
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A person earns $23 comma 600
one year and gets a 5% raise in salary. What is the new salary?
Answers
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
find the value of x in this polygon please and thank you i don’t know where to start
Answers
x = 90 degrees
Explanations:The sum of interior angle of a heptagon is 900degrees. Taking the sum of all of the interior angles is:
\(93+166+127+112+x+76+113+123=900\)Simplify and solve for the value of "x"
\(\begin{gathered} 810+x=900 \\ x=900-810 \\ x=90^0 \end{gathered}\)54:46
Which algebraic expression means "four less than three times a number"?
ОООО
4-12
3n-4
4-3n
2-4
Save and Exit
Next
Submit
Answers
Solve x2 = 144.
O 72
O 12
+12
O-12
Answers
Answer:
x = ±12
Step-by-step explanation:
x^2 = 144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x = ±12
Answer:
Choice 3
Step-by-step explanation:
\(\sqrt{144}\) is the selected answer on the image since a squared can end up as regardlessly positive, whether it is negative or positive.
Kubin Company’s relevant range of production is 18,000 to 22,000 units. When it produces and
sells 20,000 units, its average costs per unit are as follows:
Required:
1. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 20,000 units?
b. What is the total indirect manufacturing cost incurred to make 20,000 units?
2. Assume the cost object is the Manufacturing Department and that its total output is 20,000 units.
a. How much total manufacturing cost is directly traceable to the Manufacturing Department?
b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the
Manufacturing Department?
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume
that the company spent $50,000 of its total fixed selling expense on advertising and the
remainder of the total fixed selling expense comprised the fixed portion of the company’s
sales representatives’ compensation.
a. When the company sells 20,000 units, what is the total direct selling expense that can be
readily traced to individual sales representatives?
b. When the company sells 20,000 units, what is the total indirect selling expense that
cannot be readily traced to individual sales representatives?
4. Are Kubin’s administrative expenses always going to be treated as indirect costs in its internal
management reports?
Answers
For 18000 units the calculated sum is $150,000.
The following are the company's production and period costs:
The product costs $ 350,000 for 20,000 units.
20,000 units = $150,000 in cost period
The product costs $ 385,000 for 22,000 units.
18,000 units each period = $ 135,000
The corporation incurs two major costs while creating an item: production costs and period costs.
Production costs are expenses directly connected to the manufacturing process. These expenses include labor, raw materials, and overhead.
While period costs are expenses incurred for the company's activities such as administrative and selling/sales charges,1. The cost of making 20,000 units is
Existing unit manufacturing costs are as follows:
Direct labor costs $7.00. Manufacturing variable overhead of $4.00 Fixed manufacturing overhead of $1.50 $ 5.00
Total product cost per unit = $7.00 + $4.00 + $1.50 + 5.00 = $17.5
So, for 20,000 units, the calculation is: 20,000 x $17.5 = $350,000
The time required to produce 20,000 units is
Each unit's cost period is as follows:
$ 3.50 in fixed selling expenses, $ 2.50 in fixed administration expenses, and $ 1.00 in variable administrative expenses.
Total period cost per unit = $ 3.5+ $ 2.5+ $ 1.00+ $ 0.5 = $ 7.5
So, for 20,000 units, the calculation is: 20,000 x $ 7.5 = $150,000
The cost of making 22,000 units is
Existing manufacturing costs per unit: $ 17.5
So, for 20,000 pieces, the cost is 22,000 x $17.5 = $ 385,000
The total period cost / unit for generating 18,000 units is $ 7.5.
So, for 18,000 units, the calculation is: 18,000 x $ 7.5 = $ 135,000
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1. (x - 2) + (3x + 8)
Answers
Answer:
4x+6
Step-by-step explanation:
(x-2) + (3x + 8)
combine like terms
4x + 6
Hope this helps!!!
Answer:
4x+6
Step-by-step explanation:
NO LINKS!! URGENT HELP PLEASE!!
Answers
Answer:
Step-by-step explanation:
1)
Congruency shortcuts:
HL, SSS, SAS, ASA, and AAS
where S=side
A=angle
H=hypotenule
L=leg
HL is only for a right triangle
If you can prove sides and angles are congruent according to those 5 rules, you have proven the triangles are congruent
Similarity shortcuts:
AA, SAS, SSS
We have triangle similarity if (1) two pairs of angles are congruent (AA) (2) two pairs of sides are proportional and the included angles are congruent (SAS), or (3) if three pairs of sides are proportional (SSS)
2)
BG ≅ GD >Given from image
IG ≅ GO >Given from image
<BGI ≅ <DGO >Vertical Angles
ΔBGI ≅ ΔDGO >SAS
You have proven that the triangles are congruent because you used the shortcut by proving a side and angle and a side are congruent so SAS makes them congruent
Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 29 cups of coffee, using 444 ounces of coffee, while collecting a total of $35.90. How many cups of each size did Kyle fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ 20-oz cup(s).
Answers
Answer:
Kyle filled 10 10-oz cups, 6 14-oz cups, and 13 20-oz cups
Step-by-step explanation:
In order to solve this question we first have to create a system of equations. If we let "a" represent the number of 10-oz cups, let "b" represent the number of 14-oz cups, and let "c" represent the number of 20-oz cups, then we can make the following 3 equations...
1. a + b + c = 29 (29 is the total number of cups)
2. 10a + 14b + 20c = 444 (444 is the total volume of the coffee)
3. 0.95a + 1.15b + 1.50c = 35.90 (35.90 is the total price of the coffee)
Now we can solve this system of equation by first representing "a" in terms of "b" and "c". We use the first equation, to do that...
a + b + c = 29
a = 29 - b - c
Now we substitute "a" with an equal value in terms of "b" and "c" which we found above.
10a + 14b + 20c = 444
10 (29 - b - c) + 14b + 20c = 444
290 - 10b - 10c + 14b + 20c = 444
4b + 10c = 154
Now we use the fully simplified equation above to represent "c" in terms of "b", and we get that...
4b + 10c = 154
10c = 154 - 4b
c = 15.4 - 0.4b
Now we take the third equation and substitute "a" and "c" with equivalent values, and we get an equation from which we can find the value of "b"...
0.95a + 1.15b + 1.50c = 35.90
0.95 (29 - b - c) + 1.15b + 1.50(15.4 - 0.4b) = 35.90
27.55 - 0.95b - 0.95c + 1.15b + 23.1 - 0.6b = 35.90
50.65 - 0.4b - 0.95(15.4 - 0.4b) = 35.90
50.65 - 0.4b - 14.63 + 0.38b = 35.90
36.02 - 0.02b = 35.90
0.02b = 36.02 - 35.90
0.02b = 0.12
b = 6
Now that we know what "b" equals to, we can find the value of "c".
c = 15.4 - 0.4b
(we found this formula when we represented c in terms of "b" previously)
c = 15.4 - 0.4(6)
c = 15.4 - 2.4
c = 13
Now we can find the value of "a" buy using the first formula and substituting "b" and "c" with their values...
a + b + c = 29
a + 6 + 13 = 29
a = 29 - 6 - 13
a = 10
Therefore Kyle filled 10 10-oz cups, 6 14-oz cups, and 13 20-oz cups.
You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inches.
What is the total length of fabric that you need ?
Answers
Answer:
Step-by-step explanation:
14/19/24
Write the fractions in order from least to greatest: 2/9, 1/6, 1/5, 3/10
Answers
Answer:
1/5,1/6,2/9,3/10
Step-by-step explanation:
hope it helps helps and have a nice day! :)
20,000 ten thousands equals how many hundred thousands
Answers
20,000 ten thousand equals 2000 Hundred thousand.
As per the question statement, we are provided with a value: "20,000 ten thousand".
We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.
To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, \((20000*10,000)=200000000\).
As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.
Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as \((100,000*x)=200000000\)
\(or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000\)
Hence, 20,000 ten thousands equals 2000 Hundred thousands.
Linear Equation: linear equations: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.Variable: n Mathematics, a variable is a symbol or a representative of a value, which is unknown.To learn more about Linear Equations, click on the link below.brainly.com/question/27664510
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Read the excerpt from Just Mercy by Bryan Stevenson.
Presumptions of guilt, poverty, racial bias, and a host of other social, structural, and political dynamics have created a system that is defined by error, a system in which thousands of innocent people now suffer in prison.
Finally, we spend lots of money. Spending on jails and prisons by state and federal governments has risen from $6.9 billion in 1980 to nearly $80 billion today. . . . State governments have been forced to shift funds from public services, education, health, and welfare to pay for incarceration, and they now face unprecedented economic crises as a result. The privatization of prison health care, prison commerce, and a range of services has made mass incarceration a money-making windfall for a few and a costly nightmare for the rest of us.
Miguel is annotating this passage. He is looking for evidence that the prison system is a business that does not benefit the public. Which sentence should he underline to best support this idea?
“Presumptions of guilt, poverty, racial bias, and a host of other social, structural, and political dynamics have created a system that is defined by error, a system in which thousands of innocent people now suffer in prison.”
“Finally, we spend lots of money.”
“Spending on jails and prisons by state and federal governments has risen from $6.9 billion in 1980 to nearly $80 billion today.”
“The privatization of prison health care, prison commerce, and a range of services has made mass incarceration a money-making windfall for a few and a costly nightmare for the rest of us.”
Mark this and return
Answers
The evidence Miguel seeks is “The privatization of prison health care, prison commerce, and a range of services has made mass incarceration a money-making windfall for a few and a costly nightmare for the rest of us.”
What evidence best supports Miguel's stance?Miguel wants to prove that prison has become a private business that does not benefit most of the public.
The relevant evidence would be the part that says prison has been privatized and only a few are making a lot of money from it while most others are experiencing a nightmare.
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A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.
(This is probability and I’m having such a hell of a time figuring it out pls help)
Answers
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.
Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:
Total combinations = Number of color options × Number of wheel size options
Total combinations = 4 colors × 2 wheel sizes
Total combinations = 8
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
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Please help!!!!
I struggle in math so if you could help thatd be amazing
Answers
Answer:
1-b 2-c 3-a 4-d 5-d 6-a
Step-by-step explanation:
PLEASE HELP me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
43°
Step-by-step explanation:
AD = (7x + 1)°
DC = 90° (right angle)
CB = (9x - 7)°
AD + DC = CB = AB
(7x + 1)° + 90° + (9x - 7)° = 180°
7x + 1 + 9x - 7 = 90
16x - 6 = 90
16x = 96
x = 96/16 = 6
AD = (7x + 1)° = (7*6 + 1)° = 43°
The area of square ABCD with vertices at A(1,-1), B(5,-3), C(7,1), and D(3,3) isapproximately 20.25 square units.True or False
Answers
Given:
A(1,-1), B(5,-3), C(7,1), and D(3,3)
Area of ABCD = 20.25 square units
Let's determine if the area is correct.
Since ABCD is a square, all side lengths are equal.
Now, let's find the length of one side.
Apply the distance formula:
\(\sqrt{(x2-x1)^2+(y2-y1)^2}\)Let's find the length of AB.
Where:
(x1, y1) ==> A(1, -1)
(x2, y2) ==> B(5, -3)
Thus, we have:
\(\begin{gathered} AB=\sqrt{(5-1)^2+(-3-(-1))^2} \\ \\ AB=\sqrt{4^2+(-3+1)^2} \\ \\ AB=\sqrt{16+(-2)^2} \\ \\ AB=\sqrt{16+4} \\ \\ AB=\sqrt{20} \end{gathered}\)The length of one side of the square is √20.
Now, to find the area of a square, we have:
\(\begin{gathered} Area=l^2 \\ \\ Area=(\sqrt{20})^2 \\ \\ Area=20\text{ square units} \end{gathered}\)Therefore, the area of the square is 20 square units.
This means the area is not 20.25 square units.
Therefore, the
-4=16x what would u do to solve this equation?
Answers
Answer:
x=-1/4
Step-by-step explanation:
-4/16=16x/16
-1/4=x
A school had 600 students, 25% were 6th graders, 35% were 7th graders the rest were 8th graders.
How many students at the school are 8th graders?
A 240
B 360
C 40
D 30
Answers
Answer:
240
Step-by-step explanation:
25% of 600: 150
35% of 600: 210
210+150= 360
600-360 = 240
please solve question in picture branoist to first and correct
Answers
Answer:
The correct answer is Option 3: 12y
Step-by-step explanation:
A polynomial term is usually made of a variable and a co-efficient.
Like terms are those terms that have the same variables i.e. x and 44x are like terms.
Given expression is:
\(6y-2y+8y\)
All the terms have only y which means that all three terms are alike.
The coefficients of like terms are added or subtracted according to their sign.
\(6y-2y+8y\) = 12y
Hence,
The correct answer is Option 3: 12y
write the recuring deciml 0.15 as a fractions simplest form
Answers
if I wakes for 1/2 an hour, walks for 1/3 of an hour, and jogs for 1/4 of
an hour. Calculate how many minutes i exercises.
please someone help me this is for a test
Answers
Answer:
65 minutes
Step-by-step explanation:
Lucy buys baseball cards in packages of 10. List the number
of baseball cards for 0 to 4 packages in the table. Then write
the ordered pairs.
Number of
Packages, x
Number of
Cards, y
Ordered Pair
(x, y)
84238*ASOSO
Baseball Cards
50
45
40
35
30
25
20
15
10
5
0
01
Plot the points in the coordinate plane to the right.
Describe the relationship between the coordinates of the ordered pairs.
(0,0)
2
456
Packages
X
Answers
Here is the table of the number of baseball cards for 0 to 4 packages and their corresponding ordered pairs:
What are the data in the table?Number of Packages, x | Number of Cards, y | Ordered Pair (x, y)
0 | 0 | (0, 0)
1 | 10 | (1, 10)
2 | 20 | (2, 20)
3 | 30 | (3, 30)
4 |40 | (4, 40)
To plot these points in the coordinate plane, we can use the horizontal axis for the number of packages (x) and the vertical axis for the number of cards (y), with each unit representing 1 package or 10 cards. Here is the plot:
|
50 |
45 |
40 ● (4, 40)
35 |
30 ● (3, 30)
25 |
20 ●(2, 20)
15 |
10 ● (1, 10)
5 |
0 ● (0, 0)
--------------
0 1 2 3 4
As we can see from the plot and the table, the relationship between the coordinates of the ordered pairs is linear, with the number of cards increasing by 10 for each additional package.
Specifically, the relationship can be described by the equation y = 10x, where y is the number of cards and x is the number of packages. This means that the slope of the line connecting any two points is always 10, and the y-intercept is 0.
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Simplify the expression.
(x)2(2xy3)5
2x3y15
32x7y8
32x7y15
10x3y8
Answers
Answer:
\(32x^7y^{15}\)
Step-by-step explanation:
\(x^2 (2xy^3)^5 \\ \\ =x^2(2^5)(x^5)(y^{(3)(5)}) \\ \\ =x^2(32)(x^5)(y^{15}) \\ \\ =32x^7y^{15}\)
Question:-
The area of two similar triangles are 81 cm2 and 49 cm² respectively. If one of the sides of the first triangle is 6.3 cm, find the corresponding side of the other triangle.
Answers
Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
To find \(\displaystyle\sf x\), we can solve the proportion above:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
Taking the square root of both sides:
\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)
Simplifying the square root:
\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)
Cross-multiplying:
\(\displaystyle\sf 9x = 6.3 \times 7\)
Dividing both sides by 9:
\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)
Calculating the value:
\(\displaystyle\sf x = 4.9\)
Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer:
Step-by-step explanation:
let's assume that the corresponding side of the second triangle is .
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
To find , we can solve the proportion above:
Taking the square root of both sides:
Simplifying the square root:
Cross-multiplying:
Dividing both sides by 9:
Calculating the value:
Therefore, the corresponding side of the second triangle is 4.9cm
hope it helped u dear...........
what is the sum of products formula of a circuit with 4 inputs that outputs 1 when 2 or more inputs are 1
Answers
The sum of products formula of a circuit with 4 inputs that outputs 1 when 2 or more inputs are SOP = A'B'C'D + AB'C'D + AB'CD + ABC'D
Let's consider a circuit with four inputs, A, B, C, and D. The output of the circuit should be 1 when 2 or more of the inputs are 1. To represent this circuit using the SOP formula, we need to find the product terms that correspond to the input combinations that satisfy the condition.
First, let's write the truth table for the circuit:
A B C D Output
0 0 0 0 0
0 0 0 1 0
0 0 1 0 0
0 0 1 1 1
0 1 0 0 0
0 1 0 1 1
0 1 1 0 1
0 1 1 1 1
1 0 0 0 0
1 0 0 1 1
1 0 1 0 1
1 0 1 1 1
1 1 0 0 1
1 1 0 1 1
1 1 1 0 1
1 1 1 1 1
From the truth table, we can see that the output is 1 for the input combinations (0,1,1,1), (1,0,1,1), (1,1,0,1), and (1,1,1,0). These correspond to the product terms A'B'C'D, AB'C'D, AB'CD, and ABC'D, respectively.
To represent the output of the circuit using the SOP formula, we need to sum these product terms:
SOP = A'B'C'D + AB'C'D + AB'CD + ABC'D
This is the simplified expression that represents the circuit. We can implement this circuit using logic gates such as AND gates and OR gates.
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write 49/7 as a whole number
Answers
Answer:
7
Step-by-step explanation:
the fraction 49/7 is the same as the problem 49÷7
If you do the problem, you get 7, and if you want to check you could do the inverse- 7x7=49. Since that checks out, 7 is your answer.
Hope this helps :)
- Adult male Florida panthers have an
average weight of 52.6 kg. What is the
average weight of a male Florida panther
rounded to the nearest whole number?
Answers
The average weight of a male Florida panther rounded to the nearest whole number is 53 kg
What is average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
Average weight = 52.6 kg
52.6
The number after decimal point is 6 which is more than 5.
So add 1 to the 52, we get 53
Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg
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What is the range of the function represented by the graph?
Answers
Answer:
y ≥ 1
Step-by-step explanation:
The range is the values the y value can take
y ≥ 1