Answer: f(0)=8
f(-2)=0
Step-by-step explanation:
f(0)=8+4(0)
f(0)=8+0
f(0)=8
f(-2)=8+4(-2)
f(-2)=8+(-8)
f(-2)=8-8
f(-2)=0
What is the name for the total area of the surface of a solid?prism area net area surface area facial area
Answer:
Surface Area
Step-by-step explanation:
You are calculating the measurements for the surface of the prism. The interior is volume.
Answer:
Surface Area
Step-by-step explanation:
hello i need help solving please
By differentiation rules, the expression for the derivative of the function h(x) = u(x)^v(x), where u(x) = x² + 4 and v(x) = 5 · x is h'(x) = [(x² + 4)^(5 · x)] · [[(5 · x) / (x² + 4)] · (2 · x) + ㏑ (x² + 4) · 5].
How to find the derivative of an equation by differentiation rules
In this question we find a differentiation rule for a function of the form h(x) = u(x)^v(x). Herein we find a function whose components are u(x) = x² + 4 and v(x) = 5 · x. First, determine the derivatives of u(x) and v(x):
u'(x) = 2 · x, v'(x) = 5
Second, substitute in the expression of the differentiation rule:
h'(x) = [u(x)^v(x)] · [[v(x) / u(x)] · u'(x) + ㏑ [u(x)] · v'(x)]
h'(x) = [(x² + 4)^(5 · x)] · [[(5 · x) / (x² + 4)] · (2 · x) + ㏑ (x² + 4) · 5]
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What is (123
) ÷ (18
)?
Answer:
6.8333333333 or 41/6
Step-by-step explanation:
URGENT *EASY 10 POINTS* : Show steps to get the expression ln(sqrt(2) +1) - ln(1/sqrt(2)) equal to -ln(1-(1/sqrt2))
Answer:
Step-by-step explanation:
To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:
Step 1: Simplify the expression on the left side:
\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)
Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:
\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)
Step 3: Simplify the expression within the logarithm:
\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)
Step 4: Simplify the denominator by multiplying by the reciprocal:
\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)
\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)
\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)
Step 5: Simplify the numerator:
\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)
\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)
\(\ln\left(2 + \sqrt{2}\right)\)
Now, let's simplify the right side of the equation:
Step 1: Simplify the expression on the right side:
\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)
Step 2: Simplify the expression within the logarithm:
\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)
Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:
\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)
Step 4: Simplify the expression:
\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)
\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)
\(-\ln\left(2 + \sqrt{2}\right)\)
As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).
93,83,65,59,88,76,86,93,48,73,54,79
What is the percentage of these test scores that are less than 88?
find x if: a+b=c and a=2x+5 b=3x-6 c=24 then x=
Answer:
x=5
Step-by-step explanation:
When given multiple equations, substitution is the best choice.
1) a+b=c
2) a=2x+5
3) b=3x-6
4) c=24
We can use equations 2, 3, and 4, to substitute equation 1.
2x+5+3x-6 = 24
Combine like terms
5x-1=24
5x=25
x=5
Kenny is 5ft 5in Lamar is 67in who is taller
Lamar is taller than Kenny.
There are twelve inches in a foot. Sixty-seven divided by twelve equals five with a remainder of seven. Lamar is five feet and seven inches tall, two inches taller than Kenny.
Answer:
i think kenny is taller
Step-by-step explanation:
hope this helps have a nice day :)
Drag each shape to the correct location on the table. Each shape can be used more than once, but not all shapes will be used.
Consider the given square pyramid.
Vertical cross-section ⇒
Isosceles triangle, figure 5Horizontal cross-section ⇒
Square, figure 4Vertical cross-section through base and two lateral faces ⇒
Isosceles trapezoid, figure 1
Answer:
In the image
Hope this helps!
Step-by-step explanation:
Solve x^2+8x+22=0 by completing the square.
Answer: x = √-6 - 4
Step-by-step explanation:
x^2+8x+22=0
(x+4)^2 - 16 + 22 = 0
(x+4)^2 + 6 = 0
(x+4)^2 = -6
√(x+4)^2 = √-6
x = √-6 - 4
√6 = 2.449
please help me asap
Use the arc length formula to find the length of the graph of the function y = x ^ (3/2) + 4 from x = 2 to x = 9 (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Answer:
\(\frac{1}{27}((13)^{\frac{3}{2}}-(6)^ {\frac{3}{2}})\)
Step-by-step explanation:
students were asked to choose a city if 4/7 of them chose new york and 1/7 chose los angeles what fraction chose either new york or los angles
Answer: 5/7 of the kids chose New York or L.A.
Step-by-step explanation:
All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:
4/7 + 1/7 = 5/7
H
6:00 PM
What is a frostbite?
Differentiate y=x4 -x
Answer:
Step-by-step explanation:
To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).
So, for y = x^4 - x, we can find the derivative as follows:
y' = 4x^3 - 1
So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.
The question is in the picture. pls help
Answer:
f=1 e=2 d=3
Step-by-step explanation:
Suppose that the random variable X represents the length of a punched part in centimeters. Let Y be the length of the part in millimeters. If and , what are the mean and variance of Y
Complete Question
Suppose that the random variable X represents the length of a punched part in
centimeters. Let Y be the length of the part in millimeters. If E(X) = 5 and V(X) = 0.25,
what are the mean and variance of Y?
Answer:
The mean
\(E(Y) =50 mm\)
The variance
\(V(Y) = 25 mm\)
Step-by-step explanation:
From the question we are told that
Length in cm is X
Length in mm is Y
Generally 10 mm = 1 cm
So
\(Y = 10 X\)
Hence the expected mean of Y is
\(E(Y) = E (10 X)\)
=> \(E(Y) = 10 E(X)\)
From the question \(E(X) = 5\)
So
\(E(Y) = 10 * 5\)
=> \(E(Y) =50 mm\)
Gnerally the variance of X is
\(V(X) = E [X^2] -E[X]^2\)
From the question we are told that \(V(X) = 0.25\)
=> \(0.25 = E [X^2] -E[X]^2\)
Gnerally the variance of Y
\(V(Y) = E [Y^2] -E[Y]^2\)
=> \(V(Y) = E [10X^2] -E[X]^2\)
=> \(V(Y) = 10^2[ E [X^2] -E[X]^2]\)
=> \(V(Y) = 10^2* V(X)\)
=> \(V(Y) = 10^2* 0.25\)
=> \(V(Y) = 25 mm\)
find the distance between the two points rounding to the nearest tenth (if necessary)
(-7,-1) and (-4,3)
Answer:
The distance between these two points is of 5 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, \((x_1,y_1)\) and \((x_2,y_2)\). The distance between them is given by:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
In this question:
Distance between (-7,-1) and (-4,3). So
\(D = \sqrt{(-4-(-7))^2+(3-(-1))^2} = \sqrt{3^2+4^2} = \sqrt{25} = 5\)
The distance between these two points is of 5 units.
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
How many fourths are there in 1 3/4?
Answer:
12 one fourths
Step-by-step explanation:
There 3 × 1 1 / 4 = 3 × 4 = 12 one fourths in 3 .
Answer:
7
Step-by-step explanation:
1 3/4 = (4+3)/4 = 7/4 = 7 fourths
will give brainliest to whoever answers first
This trapezoid has been divided into two right triangles and a rectangle.
How can the area of the trapezoid be determined using the area of each shape?
Enter your answers in the boxes.
The area of the rectangle is
in², the area of the triangle on the left is
in², and the area of the triangle on the right is
in².
The area of the trapezoid is the sum of these areas, which is
in².
Answer:
The area of the triangle on left is 9
in², the area of the triangle on the right is 9
in², and the area of the rectangle is 108
in².
The area of the trapezoid is the sum of these areas, which is 126
in².
Please help ill mark brainlest
Answer:
Tbh I thought I knew
Step-by-step explanation:
Sorry
help me please i would appreciate it so so much
Answer:
w = 120
x = 60
y = 120
z = 60
Step-by-step explanation:
w = 120 (vertically opposite angles)
sum of co interior angles is 180
⇒ w + x = 180 and x + y = 180
w + x = 180
⇒ 120 + x = 180
⇒ x = 180 - 120
⇒ x = 60
x + y = 180
⇒ 60 + y = 180
⇒ y = 180 - 60
⇒ y = 120
z = x (corresponding angles)
z = 60
A business purchases two units at $50 each and later purchases three more at $60 each. shortly after, one is sold.what is the cost of the inventory remaining under theFIFO method?A. $220B. $234C. $230D. $224
First In, First Out (FIFO) is an accounting method in which assets purchased or acquired first are disposed of first. It assumes that the remaining inventory consists of items purchased last.
From the question, there are a total of 5 items in the inventory. The first purchase price for 2 items was $50, while the other 3 were purchased at $60 per item.
If one item is sold, under the FIFO method, it was sold for $50. Therefore, the remaining items in the inventory are 1 $50 item and 3 $60 items.
Therefore, the cost will be:
\(\Rightarrow50+3(60)=50+180=\$230\)OPTION C is the correct option.
hello can you help me with this question
Answer:
B. x is less than or equal to 5
Step-by-step explanation:
The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to
In this case it is less than or equal to because the line goes to the left
Hope this helped!
Andrea is enjoying the novel she is reading. She had read 431 pages when she checked yesterday. She read more this afternoon and has now read a total of 487 pages. Write and solve an equation to find how many pages Andrea read today.
The number of pages Andrea read today is 56 pages.
Given that, Andrea is enjoying the novel she is reading. She had read 431 pages when she checked yesterday.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of pages Andrea read today be x.
She read more this afternoon and has now read a total of 487 pages.
Now, x=487-431
⇒ x=56
Hence, the number of pages Andrea read today is 56 pages.
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anyone in flvs? we should find each other in live lessons lol
Answer:
nope
Step-by-step explanation:
Multiply (-4)(-2)(-5)
Answer:
-40
Step-by-step explanation:
So what this question is basically saying is that you have to multiply -4 by -2 first to get 8 and then you multiply that by -5 hence getting the answer of -40
Please help pleasee right now
Ms. Mary spent $192 less than Ms.Mona on supplies for their class. Together they spent a total of $988. How much did each person spend?
Answer:
Mary:604
Mona:796
Step-by-step explanation:
Answer:
Ms. Mary spend $302
Ms. Mona spend $ 686
Step-by-step explanation: We know that Ms. Mary spend $192 less than Ms. Mona.
So we are to divide $988 by 2 which is 494
now both have $494 each but Ms. Mona spend 192 so we are to add 192 + 494 to get the right sum of how much money Ms. Mona have and take away 494-192 to get the right sum of how much money Ms. Mary spend.
192 + 494 = 686
494 - 192 = 302
A hair dryer has a power of 1,200 W. How much electrical energy does it use in minutes?
Answer:
r 0.6 kWh to run for 30 minutes.
Answer:
ok so it takes 1200 watts for a hair dryer to run for a full hour, that means it takes 600 watts, or 600 Wh, or 0.6 kWh to run for 30 minutes
Step-by-step explanation:
Sedi LUPICS
Learning
Diagnostic
Analytics
A factory makes 7,000 breath mints per day. How many breath mints will the factory make in
3 days?
breath mints
Submit
I don't know this
Answer:
233.3
Step-by-step explanation:
7000 divided by 3 = 233.3