Answer:
$15,500
Step-by-step explanation:
It would help if you put the actual question in place
10³ CDs = 1000 at $12 each = $12000
+ 10² Players = 100 at $35 each = $ 3500
Total $15500
103(12) + 102(35) = $4806
Alyssa is buying a new tv that is priced at $570. The sales tax is 8%. How much will she pay total, including the original price and the sales tax
Answer:
In total she will pay $615.60
Step-by-step explanation: Because 8% of 570 is 45.60 and if you add 45.60 to 570 you get 615.60.
Change the denominators into powers of 10 and write the decimal form.
a)
.
[tex] \frac{4}{5} [/tex]
b)
.
[tex] \frac{1}{20} [/tex]
c)
.
[tex] \frac{3}{160} [/tex]
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Answer:
a) 0.8
b) 0.05
c) 0.01875
Step-by-step explanation:
The denominator will need to have equal powers of 2 and 5 to be a power of 10.
a) 4/5 = (4/5)(2/2) = 8/10 = 0.8
__
b) 1/20 = 1/(2²·5) = (1/20)(5/5) = 5/100 = 0.05
__
c) 3/160 = 3/(2⁵·5) = (3/160)(625/625) = 1875/10000 = 0.01875
Find the total surface area of the pyramid with base length and height be 10 cm and 12 cm respectively.
Answer:
Hence, total surface area of the pyramid is 360 cm².
Step-by-step explanation:
We first calculate slant height L of the pyramid with base s=10 cm and height 12 cm:
L²=H²+(s/2)²=122+(10/2)²=122+5²
=144+25=169⇒
L=(169)^1/2=13
The perimeter of the base is P=4s, since it is a square, therefore,
P=4×10=40 cm
The general formula for the lateral surface area of a regular pyramid is LSA=1/2Pl where P represents the perimeter of the base and l is the slant height.
Since the perimeter of the pyramid is P=40 cm and the slant height is l=13 cm, therefore, the lateral surface area is:
LSA=1/2Pl=1/2×40×13=260 cm²
Now, the area of the base B=s² with s=10 cm is:
B=s²=10²=100 cm²
The general formula for the total surface area of a regular pyramid is TSA=1/2Pl+B where P represents the perimeter of the base, l is the slant height and B is the area of the base.
Since LSA=1/2Pl=260 cm² and area of the base is B=100 cm², therefore, the total surface area is:
TSA=1/2Pl+B=260+100=360 cm²
Hence, total surface area of the pyramid is 360 cm².
Which statement best defines a circle?
ОА.
the set of all points in a plane that are the same distance from a given point called the center
OB.
the set of all points that are the same distance from a given point called the center
OC. points in a plane that surround a given point called the center
OD the set of all points in a plane that are the same distance from each other surrounding a given point called the center
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Answer:
А. the set of all points in a plane that are the same distance from a given point called the centerStep-by-step explanation:
A circle is a plane figure, so the descriptor "in a plane" is part of the definition. The notion of "surrounding" is not defined, so does not specify any particular relationship.
The appropriate definition is ..
the set of all points in a plane that are the same distance from a given point called the center
Can someone help me solving this differential equation?
Find the general solution of [tex]x^4y''+x^3y'-4x^2y=1 given tha [tex]t y_1=x^2 is a solution of the associated homogeneous equation.
Use reduction of order. Given a solution [tex]y_1(x) = x^2[/tex], look for a second solution of the form [tex]y_2(x) = y_1(x)v(x)[/tex].
Compute the first two derivatives of [tex]y_2(x)[/tex]:
[tex]y_2 = x^2v \\\\ {y_2}' = x^2v' + 2xv \\\\ {y_2}'' = x^2v''+4xv' + 2v[/tex]
Substitute them into the ODE:
[tex]x^4 (x^2v'' + 4xv' + 2v) + x^3 (x^2v' + 2xv) - 4x^2 (x^2v) = 1 \\\\ x^6v'' + 5x^5v' = 1[/tex]
Now substitute [tex]w(x) = v'(x)[/tex] and you end up with a linear ODE:
[tex]x^6w'+5x^5w=1[/tex]
Multiply through both sides by [tex]\frac1x[/tex] (if you're familiar with the integrating factor method, this is it):
[tex]x^5w'+5x^4w = \dfrac1x[/tex]
Bear in mind that in order to do this, we require [tex]x\neq0[/tex]. Just to avoid having to deal with absolute values later, let's further assume [tex]x>0[/tex].
Notice that the left side is the derivative of a product,
[tex]\left(x^5w\right)' = \dfrac1x[/tex]
Integrate both sides with respect to [tex]x[/tex] :
[tex]x^5w = \displaystyle \int\frac{\mathrm dx}x \\\\ x^5w = \ln(x) + C_1[/tex]
Solve for [tex]w(x)[/tex] :
[tex]w = \dfrac{\ln(x)+C_1}{x^5}[/tex]
Solve for [tex]v(x)[/tex] by integrating both sides:
[tex]v = \displaystyle \int \frac{\ln(x)+C_1}{x^5} \,\mathrm dx[/tex]
Integrate by parts:
[tex]\displaystyle f = \ln(x) + C_1 \implies \mathrm df = \frac{\mathrm dx}x \\\\ \mathrm dg = \frac{\mathrm dx}{x^5} \implies g = -\frac1{4x^4} \\\\ \implies v = -\frac{\ln(x)+C_1}{4x^4} + \frac14 \int \frac{\mathrm dx}{x^5} \\\\ v = -\frac{\ln(x)+C_1}{4x^4} - \frac1{16x^4} + C_2 \\\\ v = -\frac{4\ln(x)+C_1}{16x^4}+C_2[/tex]
Solve for [tex]y_2(x)[/tex] :
[tex]\displaystyle \frac{y_2}{x^2} = -\frac{4\ln(x)+C_1}{16x^4}+C_2 \\\\ y_2 = -\frac{4\ln(x)+C_1}{16x^2} + C_2x^2[/tex]
But since [tex]y_1(x)=x^2[/tex] is already accounted for, the second solution is just
[tex]\displaystyle y_2 = -\frac{4\ln(x)+C_1}{16x^2}[/tex]
Still, the general solution would be
[tex]\displaystyle \boxed{y(x) = -\frac{4\ln(x)+C_1}{16x^2} + C_2x^2}[/tex]
Jessica Rabbit is the manager of shipping and receiving and has been working at the Leanup Company for thirty years. She rarely calls in sick and gets good performance reviews every year. In the past year, her wife’s company has been in serious financial trouble; they likely will not be able to make the payroll for next month and may have to close down. Which leg of the Fraud Triangle best applies to Jessica's situation?
Question 2 options:
Motive
Opportunity
Rationalization
Financial pressure
The fraud triangle is used to model the causes of frauds in an organization or company.
The scenario in her wife's company shows that the fraud leg that applies to Jessica is pressure.
From the question, we understand that:
They may not be able to make payroll for next monthThey may likely close downFinancial trouble as used in the question implies that her wife's company are in debts or mismanagement.
This means that Jessica is under pressure to commit fraud in her own company in other to assist her wife's company.
Hence, the leg of the Fraud Triangle best applies to Jessica's situation is pressure
Read more about fraud triangle at:
https://brainly.com/question/15108051
Find the coordinates of the point 7/10 of the way from A to B A -3,-7 B 11,4
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Answer:
(6.8, 0.7)
Step-by-step explanation:
That point is ...
A + (7/10)(B -A)
= (-3, -7) +(7/10)(11 -(-3), 4 -(-7)) = (-3, -7) +7/10(14, 11)
= (-3, -7) +(9.8, 7.7) = (6.8, 0.7)
The point 7/10 from A to B is (6.8, 0.7).
Identify the equation of the circle that has its center at (9, 12) and passes through the origin.
Answer: [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]
This is the same as writing (x-9)^2 + (x-12)^2 = 225
========================================================
Explanation:
Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]
The center is (9,12) which tells us the values of h and k in that exact order.
h = 9
k = 12
To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).
Apply the distance formula to find the distance from (9,12) to (0,0)
[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]
The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15
An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.
---------------------
Since h = 9, k = 12 and r = 15, we can then say:
[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]
which is the equation of this circle.
What is the area (in square feet) of a rectangle that measures 12'-7" by 9'-9"?
Answer:
122.6875 (122 ft 8.25 in)
Step-by-step explanation:
12 ft 7in = 151 in
9 ft 9 in = 117 in
151 x 117 = 17667
17667in = 122 ft and 8.25 in = 122.6875 ft
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Water freezes at 0°C. Give two examples of two temperatures at which ice could exist.
Answer:
Ice can exist at 32°F and at -34°C since they freeze at those temperature points.
Answer:
Step-by-step explanation:
It could exist at -4oC degrees and - 8oC degrees. It could exist anywhere between 0 and - 100 . All numbers are randomly chosen. The point is that they are minus.
Help please due tomorrow
Answer:
Can you put a fraction. It is 1/3
Enter the correct answer in the box.
Linear function is shown in the graph. Write the slope-intercept form of the equation representing this function.
Y
10
8
6-
4
2
-75
-8
-6
X
- 5
-4
O
4
6
8
10
-2-
-4
-6-
N
-84
Answer:
Slope = 3
y-intercept: - 7
y = 3x -7
Step-by-step explanation:
please help me
integrate In x
[tex] \frac{ lnx ^{2} }{x}[/tex]
Answer:
On the pic
Step-by-step explanation:
Sorry if my handwriting is bad
Asap right now brainliest for the correct one
Answer:
Option BStep-by-step explanation:
The next step is the result of calculating the square roots:
[tex]4^{1/2} = 2[/tex]and
[tex]36^{1/2} = 6[/tex]This will make the step:
2 · [tex]3^{1/2}[/tex] + 6 · [tex]3^{1/2}[/tex] = 8 · [tex]3^{1/2}[/tex]Correct choice is B
eksponent
[tex]\sqrt[n]{x^n} = x[/tex][tex]\sqrt{x} = x^{1/2}[/tex]—
[tex] = 4^{ \frac{1}{2} } .3 ^{ \frac{1}{2} } + \sqrt{36} \times 3^ \frac{1}{2} [/tex]
[tex] = \sqrt{4} \times 3 {}^{ \frac{1}{2} } + 6 \times 3 {}^{ \frac{1}{2} } [/tex]
[tex] = 2 \times 2 + 6 \times 3 {}^{ \frac{1}{2} } [/tex]
[tex] = 4 + 6 \times \sqrt{3} [/tex]
[tex] = 4 + 6 \sqrt{3} [/tex]
help is really needed...
Find the volume.
A. 240 m³
B. 351 m³
C. 214 m³
D. 356 m³
Answer:
240m^3
Step-by-step explanation:
Volume = length x width x height.
5x12x4= 240
sketch the curve of y=x² with conclusion.
Step-by-step explanation:
I have attached pictures. Hopefully they are visible.
:)
A recipe calls for 4 cups of pecans for every 5 cups of walnuts. How many cups of pecans should be added to 8 cups of walnuts?
Answer:
5 walnuts = 4 cups of pecans
8 walnuts = 9 cups of pecans
Answer:
10 cups of pecans.
Step-by-step explanation:
The ratio between pecans and walnuts are: [tex]\frac{4}{5}[/tex]×8
So if we make a smaller batch with 1 cup of walnuts, we will need [tex]\frac{4}{5}[/tex] cup of pecans.
So for 8 cups of walnuts, we will need [tex]\frac{4}{5}[/tex] x 8 = 6,4 cups or [tex]6 \frac{2}{5}[/tex] cups of pecans.
I'm vietanh and good luck studying!
Mary takes 8 days to do a full check of the
library's online catalog. Her assistant takes
12 days. If they work together, determine the
fraction of the catalog that is checked after
4 days.
Answer:
Step-by-step explanation:
[tex]\begin{array}{|c|c|c|c|c}day&1&2&3&4\\----&-----&-----&-----&-----\\Mary&\frac{1}{8} &\frac{2}{8} &\frac{3}{8} &\frac{4}{8} \\Assis&\frac{1}{12} &\frac{2}{12} &\frac{3}{12} &\frac{4}{12} \\Sum&\frac{1}{8}+\frac{1}{12}&\frac{2}{8}+\frac{2}{12}&\frac{3}{8}+\frac{3}{12}&\frac{4}{8}+\frac{4}{12}\\part&\frac{5}{24}&\frac{10}{24}&\frac{15}{24}&\frac{20}{24}=\boxed{\frac{5}{6}}\\----&-----&-----&-----&-----\\\end{array}[/tex]
The fraction of the catalog that is checked after 4 days is 5/6
If Mary takes 8 days to do a full check and her assistant takes 12 days then if they work together then the fraction of the catalog that is checked after 4 days is 1000/12.
What is fraction?Fraction is a combination of numerator and denominator. The number above division sign is known as numerator and the number below the division sign is known as denominator. It is in p/q form in which q cannot be equal to 0.
How to find fraction?let the catalog contains 100 things.So in this way ,
In 1 day Mary does 100/8 things completed and her assistant does 100/12 things completed in 1 day.
So in four days they will complete =100*4/8+100*4/12
=400/8+400/12
=(4800+3200)/96
=8000/96
=1000/12
Hence if Mary takes 8 days to do a full check and her assistant takes 12 days then if they work together then the fraction of the catalog that is checked after 4 days is 1000/12.
Learn more about fraction at https://brainly.com/question/78672
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4,582 x 10
Written in place value form
Answer:
45820
Step-by-step explanation:
the "10" means adding 1 zero to "4582" in place value
Hundred Thousand= 4
Thousand= 5
Hundred= 8
Tens= 2
Units= 0
Ive been having this question for a while "what do you use first PEMDAS or Order of Operations". Well you might say it doesn't matter because a problem like this 5(3+8)=x if you use PEMDAS u first add the eight and the three and you would get eleven then you times the eleven with the five to get fifty five. So x=55. If you use Order of Operations you would multiply the three and eight by five to get 15+40=x you would add the fifteen and the forty to get fifty five making x=55. But if you took the problem {3(525/4π)}^1/3=R
then its a different situation heres the problem solved with PEMDAS.
{3(525/4π)}^1/3
{3(525/12.57)}^1/3
{3•41.77}^1/3
125.30^1/3=4.90
R=4.90
Now this is a step by step explanation on how to do order of operations.
{3(525/4π)}^1/3
(1575/12•9.40)^1/3
(1575/112.80)^1/3
13.90^1/3=2.30
R=2.30
So as you see these two equations have different answers. Now agin which of the two of them do i use Order of Operations or PEMDAS.
Please give a step by step explanation why i should use either or. All these problems were rounded to the nearest hundredth.
Answer:
Order of Operations was aught at a younger age for those just grasping the idea of multiplication and division. Exposing PEMDAS at a young age would confuse them too much, hence the order of operation groups, addition/subtraction and multiplication/division. So for the second example problem, PEMDAS would be correct because it does involve you to use parentheses as well as exponents to solve for. Very easy to mix up between order of operations and PEMDAS, but just look at it as if Order of operations is a beginner level of PEMDAS.
Step-by-step explanation:
The students at a school assembly
were divided into 4 equal groups.
There were 73 students in each
group. Write and solve an equation
to determine the number of students
that were at the assembly.
Answer:
292
Step-by-step explanation:
73 students in 1 group
4 groups all together
73 Students times 4 groups = amount of students all together
so 73x4=292
What is the factored form of 250x^3 − 16? A. 2(5x − 2)(25x2 + 10x + 4) B. 2(5x + 2)(25x2 − 10x + 4) C. (5x − 2)(25x2 + 10x + 4) D. (5x + 2)(25x2 − 10x + 4)
Answer:
The choose A.
[tex]250 {x}^{3} - 16 \\ 2(5x - 2)(25 {x}^{2} + 10x + 4)[/tex]
I hope I helped you^_^
Please help I’ll give brainly !! FAST THANK YOUUUU
[tex]\\ \rm\longmapsto \sqrt[3]{8}=2[/tex]
[tex]\\ \rm\longmapsto \sqrt[3]{-8}=-2[/tex]
Answer:
All integers have only one cube root.
Because it is an inverse of an odd degree (3) exponent.
x³ = 8∛x³ = ∛8x = 2And
x³ = -8∛x³ = ∛-8x = -2Chase thought that only 23 people would come to the banquet, but 48 people ended up coming. What was his percent error?
Answer:
The answer is 52%
ssmoga membantu
You roll a six sided die 2 times what is the probability of rolling a 5 then a 2 pls help
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Yeah, don't know how to explain :/
Every morning before going to class, Knut takes a shower, checks his email, does 100 pushups, and makes a milk, egg, and tuna smoothie.
Knut always takes his shower last. How many different ways are there for him to order the different steps of his morning routine?
Answer:
Step-by-step explanation:
The number of different ways there for him to order the different steps of his morning routine will be 5040.
What is a combination?The arrangement of the different things or numbers in a number of ways is called the combination.
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
It is given that every morning before going to class, Knut takes a shower, checks his email, does 100 pushups, and makes a milk, egg, and tuna smoothie. Knut always takes his shower last.
The arrangement will be calculated as below:-
The number of the activities is 7.
The number of ways = 7!
The number of ways = ( 7x 6 x 5 x 4 x 3 x 2 )
The number of ways = ( 5040 ).
Therefore, the number of different ways there for him to order the different steps of his morning routine will be 5040.
To know more about combinations follow
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Find the area of the triangle with the vertices A (3, -5), B (-2, -7) and C (18, 1) such that A, B and C are collinear.
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Answer:
0
Step-by-step explanation:
Many authors do not recognize three points on a line as forming a triangle. This is because its area is zero. (The "base" is the length of the line segment; the "height" is the width of the line (zero).)
What does this mean ?
Step-by-step explanation:
Area= 13.86 cm²
πr²= 13.86 cm²
r= √13.81 ×7/22
r= 2.1 cm
Circumference= 2πr
= 2 × 22 × 2.1 / 7
=13.2 cm
Answer:
circumference is the outside area of a circle
area of the circle is the inside area
Find the slope of the line through each pair of points. (Will give brainliest!)
Answer:
17 Ans is -3/7
Step-by-step explanation:
Let ( x1,y1)=(-3,8)
(X2,y2)=(-17,14)
By the formula,
slope (m)=y2-y1/x2-x1
=14-8/-17+3
=6/-14
=-3/7
Do others with same steps and process
Which of the following is a qualitative observation?
Question 7 options:
This leaf has grown 3 cm this week.
This leaf is 30 cm long.
This leaf has 8 curved edges.
This leaf is light green in color.
Answer:
so i think answer of this quiestion is option D