Answer:
x=-2 y =4
x = 0 y =1
x=3 y = 1/8
Step-by-step explanation:
y = ( 1/2) ^ x
Let x = -2
y = ( 1/2) ^ -2 = (1/2) -1 * (1/2) ^-1 = 2*2 = 4
Let x =0
y = ( 1/2) ^ 0 = 1
Let x = 3
y = ( 1/2) ^ 3 = ( 1/2) * 1/2 * 1/2 = 1/8
completa la tabla sobre o debajo segun corresponda
A) el 24 por ciento de los valores queda por _________ del P25
b) el 25 por ciento de los valores queda por __________ del Q3
complete the table above or below as appropriate of segun corresponda.
Spanish 22% English 25% Periodism 18% Physical Education 17% Biology 18%
1. Thirty-five percent of students studied science; hence, 35 (35 = thirty-and-five) = thirty-and-five.
2. One-hundred and thirty-three percent of students studied English or periodical studies — 25+18 = 43 (forty-three = one hundred and thirty-three).
3. One-sixty-five percent of students did not study science — 22+25+18 = 65 (sixty-five = one-sixty-five)
4. Eighty two percent of students did not study biology — 17 + 22 + 25 + 18 = 82 (eighty two Equals eighteen and two).
5. One-quarter and seven percent of students studied either English or Spanish — 25+22 = 47 (quarter and seven = 47).
6. One hundred and three percent of students — 17+18+18 = 53 (one hundred and thirty equals five) — did not study languages.
y tres)
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If the quadrilateral below is a rectangle, DE= 4x+1, EB= 12x-31, and CD=28, find AD.
Answer:
Step-by-step explanation:
shelby was asked to determine the number of packages that can be wrapped with 12 feet of ribbon if it takes a half of a foot to wrap one package.
The number of packages that can be wrapped with 12 feet of ribbon is 24.
Explain the term unitary method?The unitary approach is a strategy for problem-solving that involves first obtaining the value of a specific unit, then multiplying that value to determine the required value.The unitary approach includes determining the value of a single unit, from which we can calculate the values of the appropriate number of units.For the stated question.
Total length of the ribbon = 12 feet.
Ribbon required to wrap a one box = 1/2 foot.
Number of boxes = Total length / required ribbon for one box
Number of boxes = 12/ (1/2)
Number of boxes = 12 x 2
Number of boxes = 24
Thus, the number of packages that can be wrapped with 12 feet of ribbon is 24.
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If f(x) = the integral from 0 to x of dt/((t3+2)^1/2), which of the following is FALSE?
A) f(0) = 0 B) f is continuous at x for all x isgreater than or equal to 0 C) f(1) is greater than 0 D)f '(1) = 1/ (sqrt3) E) f(-1) is greater than or equalto 0
If f(x) is integral from 0 to x of (1/√(t³+2))dt, then the FALSE, statement is (e) f(-1) is greater than or equal to 0.
Option (a) is True, because the integral from 0 to 0 is zero, So, f(0) = 0.
Option (b) is True. The integrand is continuous for all x greater than or equal to 0, So, f(x) is differentiable and continuous for all x greater than or equal to 0.
Option (c) is True. The integrand is positive for all x, so the integral is positive for all x, including x = 1.
Option (d) is True. By using the Fundamental Theorem of Calculus and the Chain-Rule,
We have f'(x) = 1/√(x³+2).
So, f'(1) = 1/√3.
Option (e) is False, We see that integrand is undefined for negative values of t,
So, the integral from 0 to "x" is possible for non-negative values of x.
Therefore, f(x) is defined only for x greater than or equal to 0. In particular, f(-1) is undefined,
Therefore, option (e) is false.
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The given question is incomplete, the complete question is
If f(x) = the integral from 0 to x of (1/√(t³+2))dt, which of the following is FALSE?
(a) f(0) = 0,
(b) f is continuous at x for all x greater than or equal to 0,
(c) f(1) is greater than 0,
(d) f '(1) = 1/√3,
(e) f(-1) is greater than or equal to 0.
Which expression is equivalent to √3+5/√3-5
The simplified form of the expression is \(\frac{14+5\sqrt{3}}{11}\)
How to rationalize surd functions?
Given the surd function expressed as:
\(\frac{\sqrt{3} +5}{\sqrt{3} - 5 }\)
Multiply by the conjugate of the denominator to have:
\(= \frac{\sqrt{3} +5}{\sqrt{3} - 5 } \times \frac{\sqrt{3} +5}{\sqrt{3} + 5 } \\=\frac{\sqrt{9}+5\sqrt{3}+5\sqrt{3}+25 }{3-25}\)
Simplify the resulting expression
\(\\=\frac{3+10\sqrt{3}+25 }{-22}\\=\frac{28+10\sqrt{3}}{-22} \\= \frac{14+5\sqrt{3}}{11}\)
Hence the simplified form of the expression is \(\frac{14+5\sqrt{3}}{11}\)
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(5n+ 5.82) + (2.29n+7.67) = (5n+______) + (5.82 +____
Answer:
(5n + 2.29n) + (5.82 + 7.67)
Step-by-step explanation:
Help me pls. Which decimal is less than 0.8?
Answer: 0.79
Step-by-step explanation: for example 79 is less than 80.
best answer gets brainiest please give the answer now!!
Answer:
206.19cm^2
Step-by-step explanation:
area of the square=19×19
area of the square=361cm^2
area of circle= r^2×π
13.44 is the radius
13.44^2×π=567.189504= area of circle
567.189504cm^2-361cm^2=206.189504
206.189504 to nearest hundredth= 206.19cm^2
The temperature changes − degrees per hour over a period of 3 hours. What is the change in temperature?
Answer:
we don't have a temperature so it would be difficult to figure this out
Step-by-step explanation:
is -pi a rational or irrational number
Answer:
I believe that it is a irrational number.
Step-by-step explanation:
An irrational number is a number that cannot be written as a fraction with a num and denom that aren't equal to 0. These cannot be expressed as repeating decimals. -pi has all these traits, therefore it's irrational.
Answer:
Irrational
Step-by-step explanation:
A rational number, that is a decimal, is a number that can be written as a fraction. Because pi never ends, it can't be written as a fraction so its irrational.
Have a great day, you amazing bean child.
(Yes you are now my bean child. Get over it)
When 8 is divided by 1/3, the quotient is
The quotient is 24 when 8 is divided by 1/3.
What is a quotient?A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.
A procedure of dividing anything into equal halves is called division. One of the four fundamental operations in mathematics is division.
The division of 8 by 1 / 3 will be done as below:-
Quotient = 8 ÷ ( 1 / 3 )
Quotient = 8 x 3
Quotient = 24
Therefore, the quotient is 24 when 8 is divided by 1/3.
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Find the maximum value on (0, infinity) for f(x)=7x-2xlnx
f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
f(x) = max{0,x} then f(x)=0 if x<0 and f(x)=x if x≥0.
f(x)=7x-2xlnx
When x tends to -∞, f is the constant function zero, therefore limit n tends to infinity f(x) = 0.
When x tends to ∞, f(x)=x and x grows indefinitely. Thus limit n tends to infinity f(x) = infinity.
f is differentiable if x≠0. If x>0, f'(x)=1 (the derivative of f(x) = x and if x<0, f'(0)=0 (the derivative of the constant zero).
In x=0, the right-hand derivative is 1, but the left-hand derivative is 0, hence f'(0) does not exist,
f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).
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Afrah wants to buy a coat from Japan. It costs ¥7 320.50. She will have to pay shipping of £25.30. She has found a company that will charge her £80 for the coat and shipping combined. The exchange rate is currently £2 : ¥292.82. Should Afrah use the company or buy the coat and pay for shipping herself? Give a mathematical explanation.
Answer:
She should buy the coat and pay for shipping
Step-by-step explanation:
Set up a proportion to express the the 80 pounds to yen.
\(\frac{2}{292.82}\) = \(\frac{80}{x}\)
2 x 40 = 80
292.82 x 40 = 11,712.80
230.50 + 25.30 = 255.8
255.80 < 11,712.80
Helping in the name of Jesus.
Find the x intercepts of x-4 over x2+4x+3
Answer:
B
Step-by-step explanation:
a fraction is equal to 0 when the numerator is 0
x - 4 = 0
x = 4
The correct answer is x=4.
Step-by-step explanation:
When the numerator is 0, a fraction is equal to 0.
x - 4 = 0
x = 4
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Express as a single power in base 5.
125 x 5^19X (25)3
Answer:
im pretty sure its 3 plz tell me if im wrong im new here but i think its right
Step-by-step explanation:
The value where the histogram balances when supported at that point is called ____.
The value where the histogram balances when supported at that point is called the mode of the distribution.
The mode of distribution is the value that appears most frequently in the data set. It is often used as a measure of central tendency, along with the mean and median. The mode is especially useful when dealing with categorical or discrete data, where the possible values are limited and well-defined.
For example, the mode of a list of test scores might be the score that occurs most frequently, indicating the most common level of performance. In a histogram, the mode is the value where the distribution is highest, or where the histogram balances when supported at that point.
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A pool measuring 18 meters by 20 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the
path combined is 1520 square meters, what is the width of the path?
18
20
20+ 2x
18+2x
By solving a quadratic equation we can see that the width of the path measures 20 meters.
How to find the width of the path?
We know that the pool measures 18 meters by 20 meters, then the area of the pool alone is:
A = 18m*20m = 360 m^2
Now, if the path has a width x, then the rectangle that includes the path and the pool has dimensions:
(18m + 2x) and (20m + 2x)
And its area is given by:
(18m + 2x)*(20m + 2x)
And we know it is equal to 1520 m^2, then (i'm not writting the units in the computation):
(18 + 2x)*(20 + 2x) = 1520
360 + 4x^2 + 76x = 1520
Now we just need to solve that quadratic equation:
4x^2 + 76x - 1520 + 360 = 0
4x^2 + 76x - 1160 = 0
The solutions are:
x = (-76 ± √(76^2 - 4*4*(-1160))/(2*4)
x = (-76 ± 156)/4
We only care for the positive solution, which gives:
x = (-76 + 156)/4 = 20
We conclude that the width of the path measures 20 meters.
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What is the area of the object above? A. 90 sq cm B. 104 sq cm C. 140 sq cm D. 98 sq cm
Answer:
A. 90
Step-by-step explanation:
12 x 4 = 48
14 x 3 = 42
42 + 48 = 90
are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
Adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
What is Adjacent angles?The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.
When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.
Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
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Solve 3x= 6x by rewriting the equation. Show your reasoning.
20 POINTS & BRAINLIEST TO WHO EVER SOLVE
Answer:
PQ = 20 cm
QR = 15 cm
Step-by-step explanation:
Need some help please!!! You just fill in both blanks please!!
Answer:
a
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE 100 POINTS!!!!
Answer:
7) Linear Pair
8) Linear Pair
9) Vertical Angles
Answer:
Linear Pair
Linear Pair
Vertical Angles
enjoy. - pandamathhelper
Solve for x in the equation 3x^2-18x+5=47
Answer:
x=3±√23thats the answer ^^
Step-by-step explanation:
plz give me brainlyest i need it
Answer:
Option 1
Step-by-step explanation:
\(3 {x}^{2} - 18x + 5 = 47\)
\( = > 3 {x}^{2} - 18x + 5 - 47 = 0\)
\( = > 3 {x}^{2} - 18x - 42 = 0\)
\( = > 3( {x}^{2} - 6x - 14) = 0\)
\( = > {x}^{2} - 6x - 14 = 0\)
We know that
\(x = \frac{ - b + \sqrt{d} }{2a} \: or \: \frac{ - b - \sqrt{d} }{2a} \)
Where D = Discriminant of the eqn.
Discriminant of the above eqn.=
\( {b}^{2} - 4ac = {( - 6)}^{2} - 4 \times ( - 14) \times 1 = 92\)
So,
\(x = \frac{ - ( - 6) + \sqrt{92} }{2 \times 1} \: or \: \frac{ - ( - 6) - \sqrt{92} }{2 \times 1} \)
\( = > x = \frac{6 + 2 \sqrt{23} }{2} \: or \: \frac{6 - 2 \sqrt{23} }{2} \)
\( = > x = (3 + \sqrt{23} ) \: or \: (3 - \sqrt{23} )\)
What is the value of x? enter your answer in the box. x = cm
The value of x in the given equation will be 2/5
From the data,
We have to determine the value of x.
The given equation is: 18x-16=-12x-4
For determining the value of x, we will first shift the like terms on one side of the equation.
So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.
So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,
We will get it as:
18x+12x = -4+16
30x=12
Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.
So, the value of x will be = 12/30 = 2/5
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The correct question may be:
What is the value of x
18x-16=-12x-4
Enter your answer in the box.
-9.1-3.7x=9x+9.2 rounded to the nearest tenth
Answer:
See below.
Step-by-step explanation:
-3.7x-9.1=9x+9.2
+9.1 +9.1
-3.7x=9x+18.3
-9x -9x
-12.7x=18.3
/-12.7 /-12.7
x=-1.44, or -1.4
-hope it helps
The number of donuts produced by a machine is directly proportional to the time the machine runs . The machine produces 380 donuts in 20 minutes . How many donuts can the machine produce after running for 45 minutes?
Answer:
855 donuts
Step-by-step explanation:
380/20 = 19 donuts per minute
19 × 45 = 855
Asmall island ist am from the nearest point on the straight shine of a large if a woman on the island cartow a boat 3 kmh and can walk where should the boot belanded in order to arrive at a town 12 km down the shore from Pintere? The boat should be aded down the shore from (Type an exacta)
To determine the landing point, we need to balance the time it takes to row the boat with the time it takes to walk.
The woman's rowing speed is 3 km/h, and her walking speed is denoted as w km/h. Let d be the distance from the island to the landing point, and x be the distance she needs to walk from the landing point to reach the town. The total time for rowing (d/3) should be equal to the total time for walking [(12 - x)/w] in order to arrive at the town.
By rearranging the equation, we find that the landing point should be 12 km minus the distance covered by walking (d * w) divided by 3.
The exact value of x depends on the specific distances involved and the woman's walking speed, which are not provided in the given information.
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D R с C The diagram shows two squares ABCD and PQRS. Given that AB-12 cm, calculate (1) the perimeter of PORS. the area of AORS.
the diagram isn't available.Please fix that
Find the distance between each pair of points. Round your answer to the nearest tenth, if
necessary.
(8, -7), (5,1)
A 4.4
B 8.5
C 3.3
D 14.3
Answer:
b. 8.5
Step-by-step explanation:
d=√(5−8)2+(1−(−7))2
d=√(−3)2+(8)2
d=√9+64
d=√73
d=8.544004