\(answer \\ < a = 114 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)
20x^2/12x+8 simplified
Find 15.75 ÷ 0.25 using a Giant One.
Answer:
its 63
Step-by-step explanation:
Answer:
\( \frac{15.75}{0.25} = \frac{1575}{25} \\ = 63\)
...............................
Why is the mineral graphite used to make pencils?
O A. It has a dark streak color and a low hardness.
OB. It does not react with acids.
O C. It forms under high temperature and pressure.
O D. It is inexpensive to mine.
what is the answer
Answer:
A
Step-by-step explanation:
it has a dark streak color and a low hardness
Help with slope pleaseee
^^
HII SOMEONE HELPPP PLEASE ‼️‼️‼️
Answer:
Step-by-step explanation:
Fame age be x and sister's age = y
Five years ago:
Fame's age = x - 5
His sister's age = y -5
\(x -5 =\dfrac{1}{6}*(y-5)\\\\\)
Multiply the entire equation by 6
\(6*(x-5)=6*\dfrac{1}{6}(y-5)\\\)
6x- 6*5 = y-5
6x - 30 = y - 5
6x -30 + 5 = y
y = 6x - 25--------------(I)
Three year after:
Fame's age = x + 3
His sister's age = y + 3
2*(x +3) = y + 3
2x + 6 = y + 3
2x + 6 -3 = y
y = 2x + 3 -------------(II)
Substitute y = 6x - 25 in equation (II)
6x - 25 = 2x + 3
Add 25 to both sides
6x = 2x + 3 + 25
6x = 2x + 28
Subtract 2x from both sides
6x - 2x = 28
4x = 28
Divide both sides by 4
x = 28/4
x = 7
Substitute x = 7 in equation (I)
y =6x - 25
y = 6*7 - 25
= 42 - 25
y = 17
Fame's age = 7 years
His sister's age = 17 years
4) Let the distance between X and Y be D
Time take by Wie = distance÷ speed
\(= \dfrac{D}{75}\)
Time taken by Wary = distance ÷ speed
\(=\dfrac{D}{80}\)
Time difference = 10 minutes.
As Wary drives in high speed that Wie, he takes less time
\(\dfrac{D}{75}-\dfrac{D}{80}= \dfrac{10}{60}\\\\\)
LcM = 1200
\(\dfrac{16D}{75*16}-\dfrac{15D}{85*15}=\dfrac{1}{6}\\\\\\\dfrac{16D-15D}{1200}=\dfrac{1}{6}\\\\\\\dfrac{D}{1200}=\dfrac{1}{6}\\\\\\D=\dfrac{1}{6}*1200\\\\\\\)
D = 200 Km
HELP Without using a calculator, match each expression to the correct point.
Answer:
\(1)7.81 = a\)
\(2)3\pi = b\)
\(3) \sqrt{73} = c\)
\(im \: not \: 100\% \: sure \: about \: b \: and \: c\)
\(but \: i \: think \: i \: got \: it \: right \: \\ hope \: this \: helps\)
From mental and pen paper calculation we came up that a = \(7.\overline{81}\), b = √73 and c = 3π.
What is a number line ?A number line is a horizonal line in which we can represent all our real numbers.
According to the given question without using a calculator we have to determine locations of √73, 3π and \(7.\overline{81}\) on the number line.
For √73 we know, √64 is 8 and √81 is 9 so √73 lies between 8 and 9 on the number line and more closer to √81 as the distance between √73 and √81 is less than √64 and √73.
For 3π we know, π ≈ 3.14 so 3 times of 3 is 9 and 3 times of 14 is 42 so 3 times of .14 is .42 so it is 9 + .42 = 9.42.So it will lie between 9 and 10 and a just closer to 9 than 10.
For, \(7.\overline{81}\) it will be in between 7 and 8 and lot closer to 8 (common sense).
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The Fundamental Theorem of Calculus Progress save 10 points possible 6/10 answered Question 3 Use the Fundamental Theorem of Calculus to find the area under the curve of f(x) = - x2 + 9x between x - 2 and x = 6. Give your answer in exact, simplified form. Answer: > Next Question
The area under the curve of f(x) = -x^2 + 9x between x = -2 and x = 6 is 120 square units.
To find the area under the curve, we can use the Fundamental Theorem of Calculus. According to the theorem, if F(x) is the antiderivative of f(x), then the area under the curve between two points, say a and b, is given by the definite integral of f(x) from a to b:
Area = ∫[a to b] f(x) dx = F(b) - F(a)
First, let's find the antiderivative of f(x). We can use the power rule of integration. The antiderivative of -x^2 is (-1/3)x^3, and the antiderivative of 9x is (9/2)x^2. Adding these two antiderivatives, we get the antiderivative of f(x) as (-1/3)x^3 + (9/2)x^2.
Now, we can calculate the area under the curve by evaluating the antiderivative at the upper and lower limits:
Area = [(-1/3)(6)^3 + (9/2)(6)^2] - [(-1/3)(-2)^3 + (9/2)(-2)^2]
= [(-1/3)(216) + (9/2)(36)] - [(-1/3)(-8) + (9/2)(4)]
= [-72 + 162] - [8/3 + 18]
= 90 - (8/3 + 54/3)
= 90 - 62/3
= 270/3 - 62/3
= 208/3
= 69.33 (rounded to two decimal places)
The area under the curve of f(x) = -x^2 + 9x between x = -2 and x = 6 is 208/3 square units, which is approximately 69.33 square units.
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please help Evaluate 5 - (3/2) to the 3 power A.) 13/8 B.) 9.5 C.) 18.5 D.) 2197/8
Answer: THE ANSWER IS A
Step-by-step explanation:
5-(3/2)^3
=13/8
im a math god
Triangle J K L is shown. Angle J K L is 120 degrees and angle K L J is 40 degrees. The length of K L is 2 and the length of J L is k. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction What is the approximate value of k? Use the law of sines to find the answer.
Answer:
\(k \approx 5$ units\)
Step-by-step explanation:
In Triangle JKL
\(\angle K=120^\circ\\\angle L=40^\circ\\KL=2\\JL=k\)
We want to determine the approximate value of k using the law of sines.
\(\angle J+\angle K+\angle L=180^\circ $ (Sum of angles in a \triangle)\\\angle J+120^\circ+40^\circ=180^\circ \\\angle J=180^\circ-(120^\circ+40^\circ)=20^\circ\)
Using Law of Sines
\(\dfrac{k}{\sin K} =\dfrac{j}{\sin J} \\\dfrac{k}{\sin 120} =\dfrac{2}{\sin 20} \\k=\sin 120 \times \dfrac{2}{\sin 20}\\k=5.06\\k \approx 5$ units\)
Answer:
5.1
Step-by-step explanation:
Right on EDU
Value of x
(6x+2)°
(5x+22)°
Answer:
x=20°
Step-by-step explanation:
(6x+2)° and (5x+22)° are vertically opposite angles, hence VOA angles are equal so
(6x+2)°=(5x+22)°
6x°+2°=5x°+22°.... collect the like terms
6x°-5x°=22°-2°
x°=20°
what is x if f ( x) = 23?
In the expression f(x)=23, x is not a variable. f(x) means “a function of x” or “f of x” and is in practice another way of substituting for the variable y, that is, we are saying:
y=23.
That means x is unspecified and could be anything. So on the xy plane, this is a straight horizontal line, 23 units above the x axis. That would be the best way to interpret this, although it is a little ambiguous.
Usually functions of x are expressed in terms of x, such as:
f(x) = x^2
a bag contains 6 red, 8 white, and 5 blue marbles. find the probability of picking 3 red marbles if each marble is returned to the bag before the next marble is picked.
The probability of randomly picking 3 red marbles in a row is:
P = 0.0315
How to find the probability?If all the marbles have the same probability of being randomly selected, then the probability of selecting at random a red marble is equal to the quotient between the number of red marbles and the total number of marbles in the bag.
There are 6red ones and (6 + 8 + 5 = 19) 19 marbles in total, then the probability is:
P = 6/19
And we want to do this thing 3 time (when we get the red marble we return it to the bag).
Then we will have the probabilities:
q = 6/19
k = 6/19
The joint probability of these 3 events is the product between the individual probabilities, we will get:
P = (6/19)*(6/19)*(6/19) = 0.0315
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ABC and XYZ are similar. Find the missing side length.
Answer:
56
Step-by-step explanation:
The easiest way to solve this is by cross multiplying. We can make an equation to find the answer of this by simply taking a side from each triangle and then the variable and equal side on the other triangle, shown below.
\(let \: \: ? = x\)
\( \frac{7}{49} = \frac{8}{x} \)
Now we solve with cross multiplication
\(7 x = 392 \\ x = 56\)
Now we know the mystery number is 56
Question is in image
The radius of the spherical part is 3 inches and the length of the tube is 21 cm.
What is the volume of a cylinder?The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.
Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.
The two equations can be formed as below:-
4554 / 7 = πr²l + (2/3)πr³
396 = πr²( l - 9 ) + (2/3)πr³
Subtract the second equation from the first,
( 4554 / 7 ) - 396 = 9πr²
9πr² = 254.5
r² = 9
r = 3 cm
The length will be calculated as:-
4554 / 7 = πr²l + (2/3)πr³
4554 / 7 = π( 3 )²l + (2/3)π(3)³
l = 21 cm
Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.
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For Exercises 11-15, sketch the locus of points in a plane that satisfy the
given conditions.
14. equidistant from both points
A and B and points C and D
B C
A
O
D
15. equidistant from the sides of
LJKL and on OC
L
A locus is a set of a given point that satisfies certain/ stated conditions. This could be in the form of a curve, circle, or line. The required construction is wherewith attached to this answer.
Construction is a topic that requires following some steps to complete or solve a given question. This majorly requires the use of materials and instruments for drawing the expected figure.
A locus is a set of a given point that satisfies some given conditions. This could be in the form of a curve, circle, or line satisfying the required condition(s).
An equidistant locus is one that is at the same distance to a reference point or a line.
In question 14, the required locus should be at the same distance to points A, B, C, and D.
In question 15, the required locus should be at the same distance to sides KJ and KL. This should pass through point C.
The required construction is herewith attached to this answer.
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What is a 3 term equation called?
An equation that has 3 variables is called a cubic equation.
In mathematics, the general form of a cubic equation is ax³+ bx² + cx + d=0. Here, a is the co-efficient of the cube of x, b is the co-efficient of the square of x and c is the co-efficient of x. We also have the constant term d.
This is also referred to as a trinomial equation.
The degree of a cubic equation is 3. The degree of an equation is the highest power the equation has. As we can clearly see that the degree here will have to be 3. It also has 3 roots namely, α, β, and γ.
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. Solve the inequality and graph the solution: 2 (10 - x) < 4x
The given inequality is
\(2(10-x)<4x\)First, we use the distributive property.
\(20-2x<4x\)Then, we subtract 4x from each side.
\(\begin{gathered} 20-2x-4x<4x-4x \\ 20-6x<0 \end{gathered}\)Then, we subtract 20 from each side.
\(\begin{gathered} 20-20-6x<0-20 \\ -6x<-20 \end{gathered}\)At last, we divide the inequality by -6.
\(\begin{gathered} -\frac{6x}{-6}>-\frac{20}{-6} \\ x>\frac{10}{3} \end{gathered}\)Hence, the solution is all real numbers greater than 10/3.A roller coaster’s height is given by the equation h = –.067t2 7t 50, where t represents the time in seconds. how long will it take riders to pass over the hill and reach ground level? hint: set h = 0. 13.40 seconds 50.07 seconds 52.24 seconds 111.19 seconds
The time it take riders to pass over the hill and reach ground level is 111.19 seconds .
Given :
the roller coaster's height expressed by the equation below;
h = -0.067t^2 + 7t + 50
where
t is the time in seconds
The driver will hit the ground at the point where h = 0
Substitute
-0.067t^2 + 7t + 50 = 0
Multiply through by -1
0.067t^2 - 7t +-50 = 0
Factorize :
On factorizing, the positive value of "t" is 111.19 seconds
Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds
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The fifth grade has 152 students. Each student has 18
pencils. About how many pencils do the students have altogether?
There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total number of students in 5th grade = 152
Amount of pencil each student have = 18
Then, the total number of pencils altogether,
= 152 × 18
= 2,736 pencils.
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Hi can anyone help me with question 1 and 3
Answer:
292 and 2092
Step-by-step explanation:
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
Total : 240 + 600 + 90 = 730
So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292
Total: 292 + 1800 = 2092
The total cost of paint would be 2092 dollars.
The area of the cuboid is the sum of product of the length, breadth of the given prism.
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
The Total area: 240 + 600 + 90 = 730
So, The cost of painting = 730/25 x 10
= 29.2 x 10
= 292
Total: 292 + 1800 = 2092
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Round to the nearest thousandth
The population was 6.98 million in 1900. The population of New York decreased with respect to time.
What is an exponential function?
An exponential function is a mathematical function with the formula f (x) = axe, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero. The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.
The population of New York state can be modeled by
\(P(t)=\frac{19.71}{1+61.22e^{-0.03513t}}\)
P is the population and t is the number of years since 1800.
The difference between the year 1900 to 1800 is 100.
Putting t = 100 in the given model:
\(P(t)=\frac{19.71}{1+61.22e^{-0.03513\times 100}}\)
\(P(t)=\frac{19.71}{1+61.22e^{-3.513}}\)
P(t) = 19.71/2.8248
P(t) = 6.9774
P(t) = 6.977 (rounded to the nearest thousands)
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during an election, a group of 4 council members must be selected from a group of 18 people running for these positions. how many such selections are possible?
The possible number of ways of selection by using combination formula is 3060.
What is combination?
A grouping of items where the order in which they were chosen is irrelevant is known as combination.
Given that the number of people in the group is 18. Only 4 people will be member of the council.
The formula of combination is \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\) , where r number of objects are selected from n objects.
In the given question the value of n is 18 and the value of r is 2.
Substitute the value of n and r in \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\).
\(^{18}C_{4}=\frac{18!}{4!(18-4)!}\)
Solve the above expression:
18^C_4 = 18x17x16x15x14/4x14
18^C_4 = 18x17x16x15/4x3x2x1
3060 18^C_4 = 3060
The number of ways such selection is 3060.
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lt 9 according to a recent survey, 47 percent of the people living in a certain region carry a certain genetic trait. people from the region will be selected at random one at a time until someone is found who carries the genetic trait. on average, how many people from the region will need to be selected to find one person who carries the genetic trait?
54 people from the region will need to be selected to find one person who carries the genetic trait
47 percent of the people living in a certain region carry a certain genetic trait.
since 47% carry genetic trait
therefore 53% didn't carry genetic trait
because every time we get person not carry genetic trait but after 54 person surety carry genetic trait
people from the region will be selected at random one at a time until someone is found who carries the genetic trait.
0.47 would be your probability of randomly selecting but your'e solving geometrically so think how many trials until successful.
use u x(mean)= 1/.47 to get around 2.13
54 people from the region will need to be selected to find one person who carries the genetic trait
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i need help with this please
Answer:
n= -1.2
Step-by-step explanation:
I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.
find the increase in length,area or volume with:o.5m, 10(linear expansion),15(rise in temp),
Answer:
Bonjour is the bonjour of qui
Step-by-step explanation:
Points points
Which set of ordered pairs does not represent a function?
A.{(−4,3),(8,3),(−2,−3),(7,7)}
B.{(−2,−5),(0,−2),(9,9),(2,1)}
C.{(9,3),(5,4),(3,−3),(−6,−3)}
D.{(6,1),(8,2),(−4,5),(6,3)}
yolandas mother was born in 1975 how old is her mother ?
45 OR 46
It depends on which month and day she is born on in 1975.
If you want it from todays current date, she would be 46.
If her birthday is the 11 / 04 / 1975 (eleventh of April) - 31 / 12 / 1975 (thirty-first of December) then she is 45 years old. If her birthday has already passed in 2021 she is 46.
A regular admission for a movie is k8 per ticket seniors only pay k6 per ticket if the revenue for a movie totaled k1440 for an audience of 190 how many seniors attended?
Answer:
Step-by-step explanation: wjbsgstexrczlkcidgxtftwdcwdkfmw,d,f
can someone help me please what is m
Answer:
m = 20
Step-by-step explanation:
We have two fractions and are asked to find m.
When we have a question like this, cross multiplying is our key, to find m, we need to first find the value of the denominator of the other fraction and the numerator of the same fraction m is in.
Therefore :
\(\frac{8}{m} = \frac{6}{15}\)
\(\frac{8*15}{m*6}\)
What is 8 * 15?
120.
Now we need to find what times 6 equals 120 to get m.
Divide 120 by 6
20
Therefore, m is equal to 20
A web designer charges customers an initial consultation fee plus an hourly rate. The table shows the linear relationship between x, the number of hours and y, the total cost of hiring the designer. a. Find the rate of change b. What does the rate of change represent in the context of the situation?
The rate of change means that the designer hourly charge is $55 per hour
Linear equation
A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the total cost of hiring the designer after x hours.
From the table, using the point (0, 125) and (15, 950):
m = y₂-y₁/x₂-x₁= 950- 125/15-0 = 55The rate of change means that the designer hourly charge is $55 per hour
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