Answer:
f(-5)=-11
Explanation:
Given the piecewise function:
\(f(x)=\begin{cases}{-3x+1,\text{ when }x>1} \\ {-2x,\text{ when }x=1} \\ {2x-1,\text{ when }x<1}\end{cases}\)We want to find the value of f(-5).
When x=-5:
\(\begin{gathered} -5<1\implies f(x)=2x-1 \\ \text{ Therefore:} \\ f(-5)=2(-5)-1 \\ =-10-1 \\ =-11 \end{gathered}\)The value of f(-5) is -11.
Pls help I’ll brainlest for the right answer
Answer:
5.9+z=−9
Step 1: Simplify both sides of the equation.
z+5.9=−9
Step 2: Subtract 5.9 from both sides.
z+5.9−5.9=−9−5.9
z=−14.9
Answer:
z=−14.9
Step-by-step explanation:
I hope this can help!!!
A bank account earned 3.5% continuously compounded annual interest. After the initial deposit, no deposits or withdrawals were made. At the end of an 8 year period, the balance in the account was $13231.30. What was the dollar amount of the initial deposit? Round your answer to the nearest dollar. Do not include a dollar sign ($) or comma in your answer.
Answer:
\(\large \boxed{\$10000.00}\)
Step-by-step explanation:
We can use the formula for continuously compounded interest.
\(\begin{array}{rcl}A & = & Pe^{rt}\\13231.30& = & Pe^{0.035 \times 8}\\& = &Pe^{0.28}\\& = & P\times 1.3231298\\P & = &\dfrac{13231.30}{1.3231298}\\\\&=&\mathbf{10000.00}\\\end{array}\\\text{The initial deposit was $\large \boxed{\mathbf{\$10000.00}}$}\)
Which graph represents points on the polar curve r = –4sin(3θ)?
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
What are Polar coordinates?Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.
To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).
Given data ,
Let the polar curve be represented as A
Now , the polar coordinates is given as
r = -4 sin ( 3θ )
And , To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
So , on simplifying , we get
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
Hence , the polar curve is r = -4 sin ( 3θ )
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Answer:
D
Step-by-step explanation:
some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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What steps to get the principle of a 30 year loan at 5.5%?
7/10 = y/100
what is y?
Answer:
7/10= y/ 100
Well the answer is
y=70
Differentiate each function with respect to x. Show steps
On differentiating f(x) = \(2x^5(5x^5+2)\) with respect to x we get \(100x^9+20x^4\).
What do you mean by differentiation?
Apart from integration, differentiation is one of the two key ideas of calculus. A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables. Finding an antiderivative is the opposite of differentiation.If x is a variable and y is another variable, then the rate of change of x with respect to y is given by dy/dx.
Given function f(x) = \(2x^5(5x^5+2)\)
To differentiate the above function use product rule,
According to product rule,
f'(u.v) = u f'(v) + v f'(u)
In the above function , let u = \(2x^5\) and v = \(5x^5+2\)
On differentiating the above function we get,
f'(x) = \(2x^5\) f'\((5x^5+2)\) + \((5x^5+2)\) f'\((2x^5)\)
f'(x) = \(2x^5(25x^4) + (5x^5+2)(10x^4)\) = \(50x^9+50x^9+20x^4=100x^9+20x^4\)
Hence, on differentiating f(x) = \(2x^5(5x^5+2)\) with respect to x we get \(100x^9+20x^4\).
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21(x + 1) - 6x = 15x + 21
Answer:
15x = 15x
or
0 = 0
Step-by-step explanation:
21(x + 1) - 6x = 15x + 21
21x + 21 -6x = 15x + 21
21x - 6x = 15x
15x = 15x
or
0 = 0
this equation is always true
Met Manufacturing produces inexpensive sunglasses. The selling price per pair is $9.44, with variable costs per pair being $2.19. Fixed costs, which include paying off the plant, labor, insurance, marketing, and management, are $748,374. What is the break-even point?
The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.
Definitiοn οf a unitary methοd.The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.
Here,
We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.
Assume that X sunglasses must be sοld tο break even.
Fixed cοst plus variable cοst equals tοtal cοst.
Selling price x Number οf units sοld equals tοtal revenue.
The tοtal revenue and entire expense are equal at the break-even pοint.
Thus, we can cοnstruct the equatiοn:
Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.
=> $9.44 X = $748,374 + $2.19 X
=> $9.44 X - $2.19 X = $748,374
=> $7.25 X = $748,374
=> X = $748,374 / $7.25
=> X = 103,184
Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.
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Robert has some nickels and some dimes. He has a maximum of 29 coins worth no less than $2.20 combined. If Robert has 10 nickels, determine all possible values for the number of dimes that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Robert's dimes are anywhere between 17 and 19.
Explanation:Nickels
are worth 5 cents, and
dimes
are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.
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10 more than a number w is -2.6
Answer:
10 + w = -2.6
Step-by-step explanation:
PLS HELP ME !!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
All sides make a cube
Answer:
D
Step-by-step explanation:
What is the range of possible sizes for side x? (Khan)
The range of possible sizes for side x is 2.3 < x < 8.7.
What are the possible sizes for the missing side of a triangle?
Herein we have a triangle, of which two of its sides are known and we can now the set of all possible values by using the law of the cosine:
x² = 3.2² + 5.5² - 2 · 3.2 · 5.5 · cos θ
x = √(40.49 - 35.2 · cos θ)
The cosine is bounded between - 1 and 1, then the possible sizes for the side x are:
2.3 < x < 8.7
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If you score higher than 90% on the test, you'll get an A. If you get an A, you can celebrate.
You scored a 92% on the test. What can you conclude using the Law of Syllogism?
Answer:
You'll get an A and you can celebrate.
Step-by-step explanation:
The hypothesis for the first conditional is met, so we can assume the conclusion is true: you'll get an A.
That conclusion satisfies the hypothesis of the second conditional, so we can assume its conclusion is true: you can celebrate.
Taken together, we can assume ...
You'll get an A and you can celebrate.
HELP ME AGAIN I BEG WALLAHI THIS IS HARD
Answer: It’s C again lol
Step-by-step explanation:
there are how many distinct website graphics to be created?
According to the question there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.
What is website?A website is a collection of related web pages, images, videos, and other digital assets that are hosted on a web server and can be accessed by users over the internet. A website is typically identified by a unique domain name and can be accessed by typing the URL into a web browser.
Using the formula for calculating the number of combinations of size k from a set of size n (n choose k), we can calculate the number of distinct website graphics that can be created by using at least four of seven different bitmap images as follows:
n = 7 (7 different bitmap images)
k = 4 (at least 4 of the 7 bitmap images)
Number of distinct website graphics = (7 choose 4) = 35
Therefore, there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.
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A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium.
NEED HELP ASAP GIVING BRAINLIEST!!!!!!!!!!!!!!!!!!
Answer:
option D
Step-by-step explanation:
\(sin^2 ( \frac{3\pi}{2}) + cos^2(\frac{3\pi}{2}) = 1\\\\( -1)^2 + 0^2 = 1\)
Explanation:
\(sin x = cos( \frac{\pi}{2} - x)\\\\sin(\frac{3\pi}{2}) = cos ( \frac{\pi}{2} - \frac{3\pi}{2})\\\)
\(=cos(\frac{\pi - 3\pi}{2})\\\\ =cos(\frac{2\pi}{2})\\\\=cos \ \pi\\\\= - 1\)
Therefore ,
\(sin^2( \frac{3\pi}{2}) = ( - 1)^2\)
An Native American tepee is conical tent. Find the number of skins needed to cover a teepee 10ft in diameter and 12ft high. each skin covers 15 sq. feet (use pi=3.14)
Answer:
19 skins
Step-by-step explanation:
Total surface area of the cone = πr(r+l)
r is the radius = 10ft/2 = 5ft
l is the slant height
l^2 = 12^2 + 5^2
l^2 = 144+25
l^2 = 169
l = 13ft
Get the surface area
TSA = 3.14(5)(5+13)
TSA = 15.7*18
TSA = 282.6 ft^2
If each skin covers 15 sq. feet
Number of skin needed = 282.6 /15
Number of skin needed = 18.84
Number of skin needed is approximately 19 skins
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Y
- Z
106°
Х
W W
O
Answer:
∠x = 74°Step-by-step explanation:
wxz = wxy + yxz
180 = x + 106
x = 180 - 106
x = 74°
0.047 rewrite as percentage
Answer:
.05 %
Step-by-step explanation:
Hi! I believe your answer is 4.7%. Simply move the decimal two places to the right. I hope this helps you! Good luck and have a great day. ❤️✨
A 3-gallon bucket of paint costs $111.12. What is the price per quart?
Answer:
9.26 per quart
Step-by-step explanation:
A 3-gallon bucket of paint costs $111.12.
Find the price of per quart.
3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:
111.12 / 12 = 9.26
A signal can be formed by running different colored flags up up a pole, one above the other. Find the number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags
The total number of different signals consisting of flags is 216
Given data ,
The number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags can be calculated using combinatorial principles.
There are 3 choices for the top flag (white, red, or blue), 2 choices for the second flag (since we've already used one color for the top flag), and 1 choice for the third flag.
Similarly, there are 3 choices for the fourth flag, 2 choices for the fifth flag, and 1 choice for the sixth flag. Finally, there are 3 choices for the seventh flag, 2 choices for the eighth flag, and 1 choice for the ninth flag.
Using the multiplication principle, we can multiply the number of choices at each step to get the total number of different signals:
3 × 2 × 1 × 3 × 2 × 1 × 3 × 2 × 1 = 3! × 3! × 3!
where "!" represents the factorial operation, which is the product of all positive integers up to a given number.
So, the total number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags is:
3! × 3! × 3! = 6 × 6 × 6 = 216
Hence , the number of signals is 216
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given:f(x)=3x^2+1,G(x)=2x-3,H(x)=x
F(-2)=
a.13
b.37
c.-11
Answer:
13 is the answer:)
Step-by-step explanation:
f(-2)= 3* (-2)² + 1
= 3*4 + 1
= 13
Please Answer fast
Find the value of x°.
Answer:
X=60°
Step-by-step explanation:
Because the sum of angle of all side of a triangle is 180°
and
if that goes on
the equation become
x°+75°+45°=180°
x°+120°=180°
x°=180°-120°
x°=60° hence prove
A soup recipe makes 6 cups. How many people does it serve if each serving is of a cup
Answer:
8
Step-by-step explanation:
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Consider the equation and the following ordered pairs: (1,y) and (x,−3).
6x+3y=15
on a field trip, there are `3` chaperones for every `20` students. there are `92` total people on the trip.
There are 12 chaperones in total.
In molecular biology, molecular chaperones are proteins that help big proteins or macromolecular protein complexes fold or unfold conformationally. There are different groups of molecular chaperones, all of which have the same purpose: to help big proteins fold properly during or after synthesis as well as following partial denaturation. Protein translocation for proteolysis involves chaperones as well.
The first molecular chaperones to be identified are an assembly-type of chaperones that help nucleosomes form from folded histones and DNA.
Since heat stress increases the propensity for protein aggregation, one of the main roles of molecular chaperones is to prevent the accumulation of misfolded proteins. As a result, many chaperone proteins are categorized as heat shock proteins.
Chaperones and students combined: 3 + 20 = 23
by the number of individuals in total:
92 / 23 = 4
Divide that sum by the proportional number of chaperones:
4 x 3 = 12
There are 12 chaperones in total.
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Just one more after this I’m done-
Answer:
I used cosine rule to find length b
Answer:
58.3 is the answer and used cosine