Answers
Because the opposite of square root is squared. They cancel each other out and c remains.
Answer:
B. C
Step-by-step explanation:
When you take the square root of any squared number, the squares cancel out and you are left with your number, or in this case, variable.
Related Questions
Find the missing value for the exponential function represented by the table below.
Then select the graph that best fits the equation.
a.
8.232, Graph A
c.
9.213, Graph A
b.
8.756, Graph B
d.
-8.232, Graph B
Answers
Answer:
To find the missing value for the exponential function, we need to identify the common ratio (r) of the exponential function, as the function can be represented as y = a(r^x), where a is the initial value.
Starting with the first two points, we can set up an equation:
24 = a(r^-2)
16.8 = a(r^-1)
Dividing the second equation by the first equation, we get:
16.8/24 = (r^-1)/(r^-2)
0.7 = r
Now we can use the third point to solve for a:
11.76 = a(0.7^0)
11.76 = a
Finally, we can use the last point to solve for y:
y = 11.76(0.7^x)
Plugging in x = 1, we get:
y = 11.76(0.7)
y = 8.232
Therefore, the missing value is 8.232, and the graph that best fits the equation is Graph A.
The missing value for the exponential function is 8.232.
The graph that best fits the equation is Graph A.
What is exponential Function?An exponential function is a Mathematical function in the form f (x) = \(a^x\), where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
We know the standard form of exponential function is
y = a\((r^x)\), where a is the initial value.
Now, taking the first two points we get
24 = a(\(r^{-2\))
and, 16.8 = a(\(r^{-1\))
Dividing the above equation we get
16.8/24 = (\(r^{-1\))/ (\(r^{-2\))
r = 0.7
Now, find the value of a
11.76 = a(\(0.7^0\))
11.76 = a
So, y = 11.76(\(0.7^x\))
For x=1 the above equation gives
y = 11.76(0.7)
y = 8.232
and the graph that best fits the equation is Graph A.
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Find the equation of the line that passes through (−4, 8) with slope −3. Write in slope-intercept form. F y = – 3x – 4 G y = – 4x + 3 H y = 3x + 4 J y = 4x – 3
Answers
Answer: y=-3x-4
Step-by-step explanation:
Since we know slope, we can plug it into slope-intercept form to find the y-intercept by using the given points,
y=-3x+b
8=-3(-4)+b
8=12+b
b=-4
Now that we know the y-intercept, we can complete the slope-intercept form.
y=-3x-4
Jason tried to find an expression equivalent to the rational expression −4x4+12x3−7x+22x2+1 by using polynomial long division. His work is shown below.Jason concluded that −2x2+7x+−14x+22x2+1 was equivalent to the rational expression. Jason's conclusion is incorrect.
Which statement BEST explains where Jason made an error?
Answers
She made a mistake in multiplying 2x²+1 by -2x². which is the correct answer would be an option (B).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The rational expression is given in the question as:
\(\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}\)
Divide the leading term of the dividend by the leading term of the divisor:
\(=-2x^2+6x+\dfrac{2x^2-13x+2}{2x^2+1}\)
Write down the calculated result in the upper part of the table.
Multiply it by the divisor
\(=-2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)
\(\mathrm{Long\:division}\:\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}:\quad -2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)
Thus, Jason made a mistake in multiplying 2x²+1 by -2x².
Hence, the correct answer would be option (B).
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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 64 N acts on a certain object, the acceleration of the object is 8 /ms2. If the acceleration of the object becomes 5 /ms2, what is the force? n=
Answers
From Newton's Law, we know that the force is given by:
\(F=M\cdot a.\)Where M is the mass object and a is the acceleration.
From the statement, we know that for a force F = 64 N, we have an acceleration a = 8 m/s², replacing this data in the equation above, we have:
\(64N=M\cdot8\text{ }m/s^2.\)Solving for m, we get:
\(M=\frac{64N}{8\text{ }m/s^2}=8kg.\)Where we have used the fact that N = kg m/s².
Now, using the value M = 8 kg, for an acceleration a' = 5 m/s², we have a force:
\(F^{\prime}=M\cdot a^{\prime}=8kg\cdot5m/s^2.=40N.\)AnswerThe new value of the force is 40 N.
To approximate the length of a marsh, a surveyor walks 425 meters from Pont A to Point B. Then the surveyor turns 65° and walks 300 meters to point C. Approximate the length AC of the marshanswers are not me :)615250
Answers
Consider the figure.
We have,
\(\begin{gathered} AC^2=BC^2+AB^2-2(BC)(AB)cos115\text{ } \\ \text{ =300}^2+425^2-2\times300\times425\times\cos 115 \\ =378392.6567 \\ AC=\sqrt[]{378392.6567}=615 \end{gathered}\)Thus, the value of ac is 615.
The length of AC of the marsh using the Law of Cosines is 615 meter.
Use the Law of Cosines, which states:
\(c^2 = a^2 + b^2 - 2ab * cos(C)\)
Here,
a = 425 meters
b = 300 meters
C = 180 - 65= 115
Plugging in these values into the Law of Cosines formula, gives
\(AC^2 = 425^2 + 300^2 - 2 * 425 * 300 * cos(115)\)
\(AC^2 = 180625 + 90000 - 255000 * cos(115)\)
\(AC^2\) = 270625 - 107767.6567
\(AC^2 = 378352.6597\)
Taking the square root of both sides
\(AC = \sqrt{378352.6597\)
AC = 615
Therefore, the length AC is 615 meters.
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Solve this system of equations by substitution.
x + y = 4
2x - 3y = 3
Answers
Answer
Given the 2 equations
x = y + 4 → (1)
2x - 3y = - 2 → (2)
Substitute x = y + 4 into (2)
2(y + 4) - 3y = - 2 ← distribute and simplify left side
2y + 8 - 3y = - 2
- y + 8 = - 2 ( subtract 8 from both sides )
- y = - 10 ( multiply both sides by - 1 )
y = 10
Substitute y = 10 into (1) for corresponding value of x
x = 10 + 4 = 14
Solution is (14, 10 ) → D
Step-by-step explanation:
Answer:
x=3
x=3y=1
I hope this helps!
Step-by-step explanation:
x+y=4
2x-3y=3
y = 4-x
2x-3(4-x) = 3
2x-12+3x = 3
5x = 15
x = 3
y = 4-x
4-3 = 1
y = 1
Use the spinner below to find the probability of getting the following in a single spin p(9 or 2)
Answers
Answer:
1/6 or 0.1667
Step-by-step explanation:
Probability of one number out of 12 is 1/12. So the probability of getting either 9 or 2 is 2/12=1/6
mathmatically indication example with solution
Answers
A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.
How to solve the equation ?Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.
The equation would be 3 x + 2 = 14.
So we can solve for the equation to be :
3x + 2 - 2 = 14 - 2
3x = 12
3 x / 3 = 12 / 3
x = 4
In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.
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Which is the slope of the line that passes through the points (2,10) and (5,8)?
Answers
Answer:
Slope = (Y2 - Y1) / (X2 -X1)
Slope = (8 -10) / (5 -2)
Slope = -2 / 3
————————
What is the slope of -x+ 5y = 10?
Answers
Answer:
Slope = 1/5
Step-by-step explanation:
Given equation,
→ -x + 5y = 10
The slope-intercept form,
→ y = mx + b
→ slope = m
Now the slope-intercept form is,
→ -x + 5y = 10
→ 5y = x + 10
→ y = (x + 10)/5
→ [ y = (1/5)x + 2 ]
Then the required slope will be,
→ y = (1/5)x + 2
→ Slope = m = 1/5
Hence, the required slope is 1/5.
Answer:
\(\textsf{Slope}=\dfrac{1}{5}\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)
Given equation:
\(-x+5y=10\)
To find the slope of the given equation, use algebraic operations to isolate y.
Add x to both sides of the equation:
\(\implies -x+5y+x=10+x\)
\(\implies 5y=x+10\)
Divide both sides of the equation by 5:
\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)
\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)
\(\implies y=\dfrac{1}{5}x+2\)
The coefficient of x is the slope of the equation.
Therefore, the slope of the given equation is ¹/₅.
PLSSS HELP!! Ty whoever helped me! :) Question: Select the statement that is true about the two-dimensional figure.
A quadrilateral with the vertices labeled L, M, N and O. Angles M L O and L M N are greater than 90 degrees, and angles L O N and M N O are less than 90 degrees.
∠LMN is an acute angle.
∠LMN is an obtuse angle.
∠MNO is an obtuse angle.
∠MNO is a right angle.
Answers
∠LMN is an obtuse angle.
==========================================
Explanation
Let's go through the answer choices to see which are true, and which are false.
A. This is false. It is stated that "LMN is greater than 90 degrees", so this angle is obtuse. Acute angles are less than 90 degrees.B. This is true. See choice A above.C. This is false. We're told that "angle MNO is less than 90 degrees". That makes the angle acute. D. This is false. See choice C above. Right angles are 90 degrees exactly. Often a small square marker is used to denote a 90 degree angle.whats the sentence as an equation? b minus 158 is the same as 58
Answers
Answer:
b - 158 = 58
Step-by-step explanation:
b - 158 = 58
Hope it helps you in your learning process.
Answer:
b-158=58
Step-by-step explanation:
Is an acute triangle less than 90 degrees?
Answers
Yes, an acute triangle less than 90 degrees
what is acute triangle?
An acute angled triangle is one in which all of the angles are fewer than 90 degrees. One such illustration of an acute angled triangle is the one below.
Hence the triangle less than 90 degrees is acute angle
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f(x)=\(\frac{3}{x+2}\)-\(\sqrt{x-3}\)
Answers
f(x) = 3/x+2 - √x - 3
We can put any value of x so, let x be 3f(3) = 3/3 + 2 - √3 - 3
f(3) = 3/3 + 2 - √0
f(3) = 3/5 - 0
f(3) = 3/5
You can let x be any value of your choice.
Becky tells her friend about the Rule of 72 and her friend immediately
tries it out with her own example. Becky doesn't see all of her friend's
math but does see f(4) = 18 written on her friend's paper.
a. What do you know about the friend's investment based on this?
b. Is the friend's math correct based on the rule of 72?
Answers
Answer:
a. the investment earns 4%
b. yes
Step-by-step explanation:
The "rule of 72" says that an investment earning compound interest at x% will double in value after 72/x years. That is, ...
f(x) = 72/x
__
a.We interpret f(4) to mean Becky's friend is interested in the doubling time for an investment that earns 4% interest.
__
b.Using the above formula, ...
f(4) = 72/4 = 18
The friend's math is correct.
Help me answer this please
Answers
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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Can you help please on this
Answers
Answer:
5
Step-by-step explanation:
What is the greatest common factor of 7, 4, and 39?
Answers
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
1 is the greatest common factor of 7, 4 and 39
what is the value of x?
help would be so appreciated!
Answers
Answer:
x =23
Step-by-step explanation:
ok first, the full degree of a straight line is 180°
subtract 38° out of 180°
180-38= 142
so 6x+4= 142°
subtract 4 from both sides of the equation
6x +4 -4= 142-4
6x=138
divide 6 from 6x and 138
x=23
Find the price of
a $22 shirt after
a 10% discount
Answers
Answer:
19.80
Step-by-step explanation:
Answer:
19.80
Step-by-step explanation:
PLEASE HURRY DUE TONIGHT
Mary is babysitting a 4-year-old. The little boy wants to play in the kiddie pool in the backyard. Mary knows that using the hose that is near the kiddie pool will take 30 minutes to fill up. The little boy has already asked 17 times if the pool is ready but she hasn't even turned on the water yet. Mary also knows that the hose from the front yard works faster and can fill the pool in 1/2 the time as the hose in the back yard. If she can use both hoses at the same time, how long will it take for the pool to fill up?
(PLEASE SHOW YOUR WORK)(I saw other people get 7.5 min and 75 min but those answers are incorrect.)
A. 5 minutes
B. 10 minutes
C. 22.5 minutes
Answers
Using both hoses will take 10 minutes to fill up the kiddie pool. Mary can fill up 1/3 of the pool using the front yard hose in 10 minutes and 1/6 of the pool using the backyard hose in 10 minutes.
To solve this problem, we need to use the concept of rates. Let's assume the rate of the hose in the backyard is x, so the rate of the hose in the front yard is 2x (because it is twice as fast as the other hose).
The combined rate of the two hoses is x + 2x = 3x, which means they can fill the pool in 30/3x = 10/x minutes.
We know that the area of the pool is 600 square feet and each small rock covers 20 square feet, so we need a total of 600/20 = 30 small rocks to cover the pool.
Since the mass of each rock is 20 grams, the total mass of all 30 rocks is 30 x 20 = 600 grams.
To find the density, we divide the total mass (600 grams) by the total volume of the rocks (30 x 20 cubic feet = 600 cubic feet)
Density = 600g / 600 cubic feet = 1g/cubic foot
Therefore, the answer is B. 10 minutes for the pool to fill up, and the density of the rocks is 1 gram per cubic foot.
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help I want to understand how to do this
Answers
9514 1404 393
Answer:
arc RS = 100°RS is a minor arcarc ST = 80°Step-by-step explanation:
The measure of an arc of a circle is the same as the measure of the central angle it subtends. That is, arc RS has the same measure as central angle RPS, which is marked as 100°.
Of course, the total of all central angles, hence all arcs, of a circle is 360°. A diameter of a circle cuts the circle in half, so each semicircle has a central angle measure and arc measure of 180°.
Any arc that is more than a semicircle is called a "major" arc. If it is less than a semicircle, it is a "minor" arc. Arcs RS and ST are minor arcs.
As always in geometry, the whole is the sum of the parts, so arcs RS and ST are supplementary. They total the measure of semicircle RST, which is 180°. Then ST = 180° -RS = 180° -100° = 80°.
__
Additional comment
Usually, an arc identified only by its end points is a minor arc. If the major arc is intended, then it will either be described as "major arc RS" or a point on the major arc will be given, as "arc RTS". The measure of arc RTS is 280°.
Could you explain the following problem:A tunnel is to be dug from point A to point B. Both A and B are visible from point C. If AC is 250 miles and BC is 526 miles, and if angle C is 90°, find the measure of angle B. Round to tenths place.
Answers
Okay, here we have this:
Considering the provided information, we are going to graph the situation and find the requested angle, so we obtain the following:
We want to know the measure of angle B, and we know the measure of its adjacent leg and opposite leg, since the triangle is a rectangle, then we can use the tangent ratio, so we have this:
\(\begin{gathered} \tan (B)=\frac{250}{526} \\ B=\arctan \mleft(\frac{125}{263}\mright) \\ B\approx25.4\text{ degre}es \end{gathered}\)Finally we obtain that the measure of angle B is approximately 25.4°.
wat is the sum of 13.75 and -11.25
Answers
Answer:
2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
use the keep change change rule
13.75 - keep
+ - change into minus
-11.25 - change into positive 11.25
Which probability indicates that an event is not likely to occur?
14
12
34
1
Answers
Answer:
its 14 or 1/4 as you said | if it is not fractions and is whole numbers it is 1
Step-by-step explanation:
1/4 is the smallest value out of all of them, making it the least probable to happen
if they are not fractions, it is 1 because that is the smallest value, making it the least probable
hope this helped!
Answer:
Step-by-step explanation:its 1/4
Elaborar 10 ejemplos de números decimales con tres términos por ejemplo : 3.99+0.000345+322.99
Answers
Answer:
lala lala 4 yes did that work
Use substitution to solve the system.
y = 2x-1
3x +2y = 19
Answers
Answer:
x = 3, y = 5
Step-by-step explanation:
Given the equations
y = 2x - 1 → (1)
3x + 2y = 19 → (2)
Substitute y = 2x - 1 into (2)
3x + 2(2x - 1) = 19 ← distribute parenthesis and simplify left side
3x + 4x - 2 = 19
7x - 2 = 19 ( add 2 to both sides )
7x = 21 ( divide both sides by 7 )
x = 3
Substitute x = 3 into (1) and evaluate for y
y = 2(3) - 1 = 6 - 1 = 5
1. If A+B+C=180
prove that.
cosA/sinBsinC + cosB/sinCsinA + cosC/sinAsinB =2
HELP PLEASE
Answers
Step-by-step explanation:
Hey there!
Look explanation in picture.
Hope it helps....
1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
Answers
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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if F(x)=x^2, then evaluate f(-1)
Answers
Answer:
f=-x^2
Step-by-step explanation:
f(-1)=x^2
-f=x^2
f=-x^2
Answer:
f(x) =x^2
Step-by-step explanation:
then
f(-1)=-1^2
f(-1)=-1