Find each difference vertically.
3. (2x ^2 – 2x ^4) — (x4 – x2)
Answer:
answer: -2x^4 +2x^2-2x
Determine the lateral and total surface area
of the regular triangular pyramid.
15 cm
13 cm
Lateral Surface Area
Total Surface Area
The areas of the square pyramid are the amount of space on it
The lateral surface area is 292.5 square cmThe total surface area is 354.85 square cmHow to determine the lateral surface area?The given parameters are:
Base (b) = 15 cm
Slant height (l) = 13 cm
The lateral surface area is calculated using:
L = 1.5bl
So, we have:
L = 1.5 * 15 * 13
Evaluate the product
L = 292.5
How to determine the total surface area?This is calculated using:
T = L + 0.25√3b^2
So, we have:
T = 292.5 + 0.25√3 * 12^2
Evaluate
T = 354.85
Hence, the total surface area is 354.85 square cm
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A car depreciates at a rate of 30% per year. How much will
a $20 000 car be worth after five years? (3 marks)
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &20000\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.3\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=20000(1 - 0.3)^{5}\implies A=20000(0.7)^5\implies A=3361.4[/tex]
You roll a 6-sided die. What is P(divisor of 12)? Write your answer as a fraction or whole number.
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
The divisors of 12 that are ≤12 are 1, 2, 3, 4, and 6. The probability that the roll of a dice will be a divisor of 12 is 5/6.
Answer:
Step-by-step explanation:
5/6
Nolan drew a pre-image of a trapezoid using a dashed line. Which shows an isometric transformation of his pre-
image??
Answer:
C
Step-by-step explanation:
i just guessed but it was correct
Find sin(2x), cos(2x), and tan(2x) from the given information.
sin(x) = [tex]-\frac{3}{5}[/tex] for [tex]\frac{3\pi }{2}[/tex] < x < 2
I assume 3π/2 < x < 2π, so that x is in the 4th quadrant. For angles x terminating in Q4, we have sin(x) < 0 and cos(x) > 0, so tan(x) = sin(x)/cos(x) < 0.
This means that, using the Pythagorean identity,
cos(x) = + √(1 - sin²(x)) = 4/5
tan(x) = (-3/5) / (4/5) = -3/4
Recall the double angle identities:
sin(2x) = 2 sin(x) cos(x) = 2 (-3/5) (4/5) = -24/25
cos(2x) = 2 cos²(x) - 1 = 2 (4/5)² - 1 = 7/25
tan(2x) = 2 tan(x) / (1 - tan²(x)) = 2 (-3/4) / (1 - (-3/4)²) = -24/7
Select the equivalent expression.
(25-23)=?
Choose 1 answer:
28.29
a15 26
a8.26
a15 2²
Urgent please help
I. Elena wants to estimate what proportion of computers produced at a factory have a certain defect. A random sample of 200 computers shows that 12 computers have the defect. She is willing to assume independence between computers in the sample. Based on this sample, construct a 95% confidence interval for the proportion of computers that have the defect.
a
(0.4529, 0.5871)
b
(0.02709, 0.09291)
c
(0.02131, 0.09869)
d
(0.0309, 0.0691)
if x+y = -10 and x-y = 2 what is the value of x
Answer:
x = -4
Step-by-step explanation:
The solution to a "sum and difference" system of equations can be found by adding the equations together.
(x +y) +(x -y) = (-10) +(2)
2x = -8 . . . . . . simplify
x = -4 . . . . . . . divide by 2
_____
Additional comment
y = -6, though this question did not ask that value.
20. You may already use algebra in your daily life. How do you imagine that you will use basic algebraic equations in your healthcare career? Explain.
Depending on the path that we decide to take, the algebra can help us in many forms.
As an example in the pharmaceutical/medical area, the nurses and doctors use basic algebra formulas to calculate dosages on different drugs depending on variables such as the weigh of each patient (commonly expressed as X or Y).
They used to have some paper sheets with formulas for different drug preparations (liquid ones particularly) within hospitals to avoid errors in medication.
As a healthcare provider, it is important to be able to read vital signs. Many of these are expressed as algebraic equations. Such equations can also be important when it comes to administering the right doses of medicine or converting different units of measurement.
PLEASE HELP ILL GIVE THANKS, 5.0, AND BRAINLIEST TO WHOEVER ANSWERS CORRECTLY PLEASE HELP AND ILL GIVE A HIGH POINT COUNT
Sophie bikes at a
speed of s miles per hour. Her friend Rana is slower, her biking
speed 1S only r miles per hour.
Today the girls went for 20 miles trip, each girl was biking at her usual speed. How
long did Sophie wait for Rana after her own arrival to the finish?
Answer:
if Rama road 1 mph Sophie waited (20-4) = 16 hours
Step-by-step explanation:
Sophie road 5 mph for 20 miles
distance = rate of speed times time traveled
d = st
20 =5t
t = 20/5 = 4 hours
Rana road r mph for 20 mile
d=rt
20=rt
t =20/r
Sophie waited 20/r - 4 hours
20/r -4 = (20-4r)/r
if Rana road at 4 mph, Sophie waited (20-4(4))/r = 4/4 = 1 hour
If Rana road at 3 mph, Sophie waited (20-4(3))/3 = 8/3 = 2 hours 40 minutes
if Rama road at 2 mph Sophie waited (20-4(2))/2 = 12/2 = 6 hours
if Rama road 1 mph Sophie waited (20-4) = 16 hours
Mr. Turner has two Algebra 1 classes. With one class, he lectured and the students took notes. In the other class, the students worked in small groups to solve math problems. After the first test, Mr. Turner recorded the student grades to determine if his different styles of teaching might have impacted student learning.
Class 1: 80, 81, 81, 75, 70, 72, 74, 76, 77, 77, 77, 79, 84, 88, 90, 86, 80, 80, 78, 82
Class 2: 70, 90, 88, 89, 86, 86, 86, 86, 84, 82, 77, 79, 84, 84, 84, 86, 87, 88, 88, 88
1. Analyze his student grades by filling in the table below. Which class do you think was the lecture and which was the
small group? Why?
Q1 Q2 IQR Mean Median MAD
Class 1 76.25 81.75 5.5 79.35 79.50 3.12
Class 2 84 88 4 84.60 86 3.85
What is Q1, Q3, IQR, Mean, Median and the MAD?The first step is to arrange the grades in the classes in ascending order.
Class 1: 70, 72, 74, 75, 76, 77, 77,77, 78, 79, 80, 80, 80, 81, 81, 82, 84, 86, 88, 90
Class 2: 70, 77, 79, 82, 84, 84, 84, 84, 86, 86, 86, 86, 86, 87, 88, 88, 88, 88, 89, 90
Q1 for class 1= 1/4(n + 1) = 21/4 = 5.25 = 76.25
Q2 for class 2 = 1/4(n + 1) = 5.25 = 84
Q3 for class 1= 3/4(n + 1) = 15.75 = 81.75
Q3 for class 2 = 3/4(n + 1) = 15.75 = 88
IQR for class 1 = Q3 - Q1 = 81.75 - 76.25 = 5.50
IQR for class 2 = Q3 - Q1 = 88 - 84 = 4
Mean for class 1 = sum of grades / total number of grades = 1587 / 20 = 79.35
Mean for class 2 = sum of grades / total number of grades= 1692 / 20 = 84.6
Median for class 1 = (n + 1) / 2 = 21/2 = 10.5 = 79.50
Median for class 1 = (n + 1) / 2 = 21/2 = 10.5 = 86
MAD = [tex]\frac{1}{n}[/tex]∑ l x - m(x) l
Where: n = number of observations
x = number in the data set
m = mean
Mean absolute deviation for class 1 = 62. 3/ 20 = 3.12
Mean absolute deviation for class 2. = 77/ 20 = 3.85
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Carolyn bought 9 feet of copper pipe for 54$ what was the cost of each foot of copper pipe?
Answer:
54÷9= 6
so its $6 a foot of copper
Helpppppppppppppppp
find x
Answer:
Answer is √2+11/2
And you can use calculator to get even more accurate answer though...
Step-by-step explanation:
this is what i get i hope this will hepl you ♡
Find the prime factorization of 495=
Def. of Prime Factorization: defined as a way of finding the prime factors of a number
[tex]495=3^2*5*11[/tex]
Hope that helped!
Solve for the unknown side and find perimeter of the figure below note that the figure is not drown to scale.
Answer:
[tex]x = 12\ m,\ perimeter = 63\ m[/tex]
Step-by-step explanation:
Step 1: Determine x
[tex]\frac{15\ m}{10\ m} = \frac{x}{8\ m}[/tex]
[tex](15\ m*8\ m) = (10\ m * x)[/tex]
[tex]120\ m^2 / 10\ m = x * 10\ m / 10\ m[/tex]
[tex]12\ m = x[/tex]
Step 2: Determine the perimeter of the figure
[tex]18\ m + 15\ m + 10\ m + 8\ m + 12\ m[/tex]
[tex]63\ m[/tex]
Answer: [tex]x = 12\ m,\ perimeter = 63\ m[/tex]
what’s the height of the cylinder? Is it 6? Or do i have to find it with the 17. Is it 10?
PLS HELP
Answer:
Cylinder height = 10
Semi-circle height = 3
Cone height = 4
Step-by-step explanation:
The height of the cylinder is always going to be the long side. 6 is the diameter of its circle. Here is a list of variables:
Diameter, D = 6
Radius, r = 3
Slant height of cone, c = 5
To find the height of the cylinder, we will need to find the height's of the cone and semi-circle:
CONE (see image attached)
a² + b² = c²
3² + h² = 5²
h² = 25 - 9
h = √16
h = 4
SEMI-CIRCLE
h = radius
h = 3
CYLINDER
Cylinder height = total h - semi-circle h - cone h
h = 17 - 3 - 4
h = 10
I'm not sure if you're trying to solve for volume, so I'll end it here LOL. Hope this helps and have a great evening!
10) Complete the net worth statement by determining the total assets and total liabilities. What is the net worth? A) $178,000 B) $180,338 C) $1,052,662 D) $1,233,000
Answer:
C) $1,052,662
Step-by-step explanation:
Sorry the answer was late and also this is the right answer because i did the test
A research study compares three treatments with n=5 in each treatment. If the Ex values for the three treatments are 5, 10, and 15, then the between treatments' degrees of freedom would be equal to_
a) 12
b) 3
c) 2
d) 14
The between treatments' degrees of freedom would be equal to 10
What is degrees of freedom?Degrees of freedom is a combination of how much data you have and how many parameters you need to estimate.
Given the data in the question;
A research study comparing three treatments with n = 5 in each treatment produce;
that is: n₁ = 5, n₂ = 5, n₃ = 5
T₁ = 5, T₂ = 10, T₃ = 15,
SS₁ = 6, SS₂ = 9, SS₃ = 9
∑x² = 94
First, we obtain the grand total;
G = T₁ + T₂ + T₃ = 5 + 10 + 15 = 30
N = n₁ + n₂ + n₃ = 5 + 5 + 5 = 15
Total SS = ∑x² - ( G²/N )
we substitute
Total SS = 94 - ( (30)²/ 15 )
Total SS = 94 - ( 900 / 15 )
Total SS = 94 - 60
Total SS = 34
To get the SSbetween or Between SS;
Between SS = ∑( T²/n ) - ( G²/N )
Between SS = ∑( (5)²/5 + (10)²/5 + (15)²/5 ) - ( (30)²/ 15 )
Between SS = ∑( 25/5 + 100/5 + 225/5 ) - ( 900 / 15 )
Between SS = ∑( 5 + 20 + 45 ) - 60
Between SS = 70 - 60
Between SS = 10
Hence the between treatments' degrees of freedom would be equal to 10.
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Les gusta mi dibujo a mano con lapiz y papel
Está bonito, solo algunos detalles, pero con practica creeme que va estar mejor. Los dedos de las manos hay que trabajar más, ¡Está bonito!
the length of a rectangle is 10 cm and its width is 2 cm less than 1/2 of its length. find the area of the rectangle
Answer:
A=wl=3·10=30
A=30
Step-by-step explanation:
integrate the following by parts |xcos x dx
[tex]\displaystyle \int x \cos x ~dx\\\\=x\displaystyle \int \cos x ~dx- \displaystyle \int \left(\dfrac{d}{dx} x \displaystyle \int \cos x ~dx \right) dx\\\\=x\sin x - \displaystyle \int\left( \sin x \right) dx\\ \\=x \sin x - (-\cos x) +C\\\\=x \sin x + \cos x +C[/tex]
The average mass of a grain of sand from
a certain beach is 9 × 10-8 kilograms.
What is this value in grams? Give your
answer in standard form.
Answer:
0.0009 grams
Step-by-step explanation:
The mass of the grain sand is:
[tex]9 \times {10}^{ - 8} \: Kg[/tex]
To convert kilograms to grams we divide by 1000 (1 × 10³)
[tex] \frac{9 \times {10}^{ - 8} }{1 \times {10}^{3} } [/tex]
Which gives us:
[tex]9 \times {10}^{ - 5} [/tex]
[tex]9 \times {10}^{ - 5} = 0.0009 \: g[/tex]
A farmer sells eggs in containers holding a dozen eggs. If he has 2178 eggs, how many containers will be filled completely? How many eggs will be left over?
Answer:
~181 containers filled completely, 6 eggs left over
Step-by-step explanation:
2178 ÷ 12 (a dozen, the number of eggs per container) = 181.5 containers
181 × 12 = 2,172 eggs
2,178 eggs - 2,172 = 6 eggs left over
Can someone please answer the question in the photo attached below for me :) i would really appreciate it and i will also mark brainliest if answered correctly
Answer:x^5
Step-by-step explanation:
[tex]\sqrt[b]{x^a}[/tex] = x^(a/b)
[tex]\sqrt[6]{x^5}[/tex] = x^(5/6)
(x^(5/6))^7
multiply 7 by numerator 5
x^(35/6)
x^(35/6)
[tex](\sqrt[6]{x^5} )^7[/tex] expression can be written in rational exponent as [tex]x^\frac{35}{6}[/tex]
What is Expression?
An expression is combination of variables, numbers and operators.
The given expression is [tex](\sqrt[6]{x^5} )^7[/tex]
We have an exponential property [tex]\sqrt[b]{x^a} =x^\frac{a}{b}[/tex]
By using this property we solve the given expression [tex](\sqrt[6]{x^5} )^7[/tex]
We have to convert to rational exponent.
[tex](\sqrt[6]{x^5} )^7=(x^\frac{5}{6})^7[/tex]
=[tex]x^\frac{35}{6}[/tex]
Hence, [tex](\sqrt[6]{x^5} )^7[/tex] expression can be written in rational exponent as [tex]x^\frac{35}{6}[/tex]
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8 points
Find the measure of the arc or
angle indicated. Assume that
lines which appear tangent are
tangent. *
F
E
46°
?
?
570
D
с
T
O 123
O 149
O 167
O 93
que chingue a su madre la jimena.
Step-by-step explanation:
write 82/10 as a mixed number in simplest terms brainly
A) 8 2/10
B) 10 1/4
C) 8 1/5
D) 2 4/5
Answer:
C) 8 1/5
Step-by-step explanation:
82/10= 8 2/10= 8 1/5
Answer:
A) 8 2/10
Step-by-step explanation:
10 goes into 82 8 times with a remainder of 2
In a recent poll, 50 teenagers were asked do they exercise regularly. 35% of them said they do exercise regularly? What is the random Variable?
Step-by-step explanation:
In a recent poll, 50 teenagers were asked do they exercise regularly. 35% of them said they do exercise regularly? What is the random Variable?
Pls help! ASAP [tex] [/tex]
Answer:
BC
Seg AC
Ray KM
which number doesn't belong?
21, 18, 16, 7, 6
18, 10, 13, 11, 16
2, 16, 9, 7, 17
11, 16, 4, 8, 2
6, 9, 11, 15, 18
19, 9, 14, 8, 11
Answer:
21
Step-by-step explanation:
Most of the numbers are within the same range. Then you have 21 which is slightly out of range from the next highest 19.
