Answer:
x = ±√3
Step-by-step explanation:
In order to avoid extraneous answers, I like to work these by transforming to an expression equal to zero.
[tex]\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}-\dfrac{9}{6(x-3)}=0\\\\\dfrac{x^2-3}{2(x-3)}=0\\\\x^2=3\\\\\boxed{x=\pm\sqrt{3}}[/tex]
__
If you do this the usual way, by clearing fractions to start, you will get an extraneous solution of x=3.
I NEED THIS SO BAD SO I WILL GIVE CROWN FOR ANSWER
Bela runs a 6.2 mile race and a 26.22 mile race during the year.
How many total miles did she run in both races?
Enter your answer in the box.
Answer:
32.42 miles
Step-by-step explanation:
you could have just added
Answer:
32.42 miles
hope this helped
Find the sum or difference. Write your answers in scientific notation.
(6.5×10−4)−(1.9×10−5)=
(5.3×109)+(2.8×109)=
Answer:
[tex]6.31*10^{-4} \\8.1*10^{9}[/tex]
Step-by-step explanation:
0.00065 - 0.000019 = 0.000631
Move back 4 decimal places.
5300000000 + 2800000000 = 8100000000
Move forward 9 decimal places.
Hope this helps! If you need help on converting them back to scientific notation or getting the value of the exponent, just ask!
Final answer:
To find the sum or difference, adjust the scientific notations to have the same exponent, perform the operation, and keep the result in scientific notation. (6.5×10⁻⁴) − (1.9×10⁻⁵) equals 6.31×10⁻⁴ and (5.3×10⁹) + (2.8×10⁹) equals 8.1×10⁹.
Explanation:
To find the sum or difference of numbers in scientific notation, we need to make sure that the exponents are the same. If they're not, we adjust one of the numbers by changing its exponent and mantissa accordingly.
Solution for (6.5×10⁻⁴) − (1.9×10⁻⁵)
First, we adjust the second term so that it has the same exponent as the first:
(1.9×10⁻⁵) = (0.19×10⁻⁴)
Now, we subtract the mantissas while maintaining the exponent:
(6.5 - 0.19)×10⁻⁴ = 6.31×10⁻⁴.
Solution for (5.3×10⁹) + (2.8×10⁹)
Since the exponents are the same, we can directly add the mantissa:
(5.3 + 2.8)×10⁹ = 8.1×10⁹.
Both answers are now in scientific notation.
In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a
sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a
brown, then black sock?
1/36
1/18
V
2/33
Answer:
D
Step-by-step explanation:
[tex]\frac{1}{18}[/tex]
Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. An event's probability is a number between [tex]0[/tex] and [tex]1[/tex].
Number of white socks [tex]=6[/tex]
Number of black socks [tex]=4[/tex]
Number of brown socks [tex]=2[/tex]
A brown sock is picked and replaced then a black sock is picked.
Probability that a brown sock is picked and replaced then a black sock is picked [tex]=\frac{2}{12}\times \frac{4}{12}[/tex]
[tex]=\frac{1}{3}\times \frac{1}{6}[/tex]
[tex]=\boldsymbol{\frac{1}{18}}[/tex]
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Emily has 3/4 of an apple pie left over from dinner. After lunch, she ate half of what was left. What fraction of the pie is left?
Answer:
1/4
Step-by-step explanation:
Answer:
This is what I got 0.375
Step-by-step explanation:
But this is in decimal form. Sry
GETS BRAINILIST IF RIGHT PLS ANSWER QUICK 6TH GRADE ADV SCIENCE!!!!!The contractions experienced by women in labor are often very painful. Yet the body's feedback system encourages them to continue. Why?[Contractions] AA woman's feedback system goes haywire when she goes into labor incorrect answer BThough painful, the contractions help women give birth incorrect answer CThe feedback system also releases special hormones to kill the pain incorrect answer DThe baby's feedback system causes the contractions to continue, not the mother's feedback system
Answer:
the correct answer is b.) though painful, the contractions help women give birth
Step-by-step explanation:
The contractions in labor are part of a feedback system involving the uterus, hypothalamus and posterior pituitary gland, resulting in the release of oxytocin. This hormone triggers increased uterine contractions which helps in the birthing process, continuing until the baby is born.
Explanation:The contractions experienced by women in labor, despite being painful, are a necessary part of the birth process, and the body has a feedback system that encourages this process to continue. The basis for this is a feedback relay between the uterus, hypothalamus, and the posterior pituitary gland in the brain. The first contractions of labor, which are the stimulus, push the baby toward the cervix, the lowest part of the uterus. The cervix contains stretch-sensitive nerve cells that monitor the degree of stretching, these sensors then send messages to the brain, which in turn causes the pituitary gland at the base of the brain to release the hormone oxytocin into the bloodstream.
Oxytocin causes stronger contractions of the smooth muscles in the uterus, which are the effectors, pushing the baby further down the birth canal. This causes even greater stretching of the cervix. The cycle of stretching, oxytocin release, and increasingly more forceful contractions only stops when the baby is born. At this point, the stretching of the cervix halts, thereby stopping the release of oxytocin.
Learn more about Child labor and birth here:https://brainly.com/question/37670922
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rewrite the product as a sum: 10cos(5x)sin(10x)
Answer:
10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Step-by-step explanation:
In this question, we are tasked with writing the product as a sum.
To do this, we shall be using the sum to product formula below;
cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]
From the question, we can say α= 5x and β= 10x
Plugging these values into the equation, we have
10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]
= 5[sin (15x) - sin (-5x)]
We apply odd identity i.e sin(-x) = -sinx
Thus applying same to sin(-5x)
sin(-5x) = -sin(5x)
Thus;
5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]
= 5[sin (15x) + sin (5x)]
Hence, 10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
(fx)=4x^2-25 answer this question using factoring
Answer:
(2x+5)(2x-5)
x=-5/2, +5/2
Step-by-step explanation:
In ΔJKL, k = 22 cm, ∠L=23° and ∠J=26°. Find the length of j, to the nearest 10th of a centimeter.
We have been given that in ΔJKL, k = 22 cm, ∠L=23° and ∠J=26°. We are asked to find the length of j to the nearest tenth of a centimeter.
We will use law of sines to solve for side j.
[tex]\frac{a}{\text{sin}(A)}=\frac{b}{\text{sin}(B)}=\frac{c}{\text{sin}(C)}[/tex], where, a, b and c are opposite sides to angles A, B and C respectively.
We need to find measure of angle K to apply law of sine to our given problem.
Using angle sum property, we will get:
[tex]\angle J+\angle K+\angle L=180^{\circ}[/tex]
[tex]26^{\circ}+\angle K+23^{\circ}=180^{\circ}[/tex]
[tex]\angle K+49^{\circ}=180^{\circ}[/tex]
[tex]\angle K+49^{\circ}-49^{\circ}=180^{\circ}-49^{\circ}[/tex]
[tex]\angle K=131^{\circ}[/tex]
[tex]\frac{j}{\text{sin}(J)}=\frac{k}{\text{sin}(K)}[/tex]
[tex]\frac{j}{\text{sin}(26^{\circ})}=\frac{22}{\text{sin}(131^{\circ})}[/tex]
[tex]\frac{j}{\text{sin}(26^{\circ})}\cdot \text{sin}(26^{\circ})=\frac{22}{\text{sin}(131^{\circ})}\cdot \text{sin}(26^{\circ})[/tex]
[tex]j=\frac{22}{0.754709580223}\cdot 0.438371146789[/tex]
[tex]j=\frac{9.644165229358}{0.754709580223}[/tex]
[tex]j=12.77864423889[/tex]
Upon rounding to nearest tenth, we will get:
[tex]j\approx 12.8[/tex]
Therefore, the length of j is approximately 12.8 cm.
Answer:
12.8
Step-by-step explanation:
delta math
what is the answer i am confused pls help
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Answer:
[tex]k=5[/tex]
Step-by-step explanation:
[tex]18 + 8k = 58\\\\\text {Subtract 18 from both sides.}\\\rightarrow 18-18+8k=58-18\\\boxed {8k=40}\\\\\text {Divide by 8 on both sides.}\\8k/8 = 40/8\\\boxed {k=5}[/tex]
Brainliest Appreciated!
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000+1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Answer:
2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
What step comes first to solve 18/2 - 5 + 7 - 12
Answer:
You would do 18/2 first.
Step-by-step explanation:
In order of P.E.M.D.A.S (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), Division is the first main operation you would do, therefore making 18/2 the first thing to do.
please help!!!
find the median, first quartile, third quartile, and interquartile range of the data.
12, 31, 9, 20, 36, 5, 22
and
63, 68, 58, 77, 50, 49, 63, 73
Answer:
Part 1) 12, 31, 9, 20, 36, 5, 22
Sort the data:
5, 9, 12, 20, 22, 31, 36
Median: 20
First Quartile: 9
Third Quartile: 31
IQR: 31 - 9 = 22
and
Part 2) 63, 68, 58, 77, 50, 49, 63, 73
Sort the data:
49, 50, 58, 63, 63, 68, 73, 77
Median: (63÷63)/2 = 63
First Quartile: (50+58)/2 = 54
Third Quartile: (68+73)/2 = 70.5
IQR: 70.5 - 54 = 16.5
Evaluate the expression c=-8 -2c=
Answer: +16
Step-by-step explanation: In this problem, we want to evaluate the expression, -2c, when c is equal to -8.
Since we have -2c and c is -8, we simply multiply -2(-8) which is +16.
Hi, I need help.
If 4r+7s=23 and r−2s=17 then 3r+3s=
(A) 8 (B) 24 (C) 32 (D) 40 (E) 16
Answer:
B, 24 (second answer choice)
Step-by-step explanation:
4r+7s=23
r-2s=17
8r+14s=46
7r-14s=119
15r=165
r=11
11-2s=17..........by putting value of r in ii
-2s=17-11
2s= -6
s= -3
3r+3s=3*11+3(-3) you get this by putting values of r and s
=33-9
=24 (B)
============================================================
Explanation:
Add the left hand sides of the two equations to get (4r+7s)+(r-2s) = 5r+5s
Do the same for the right hand sides of the two equations 23+17 = 40
After adding the equations, we end up with 5r+5s = 40 which is the same as 5(r+s) = 40
Next, divide both sides by 5 to lead to r+s = 8
Finally, multiply both sides by 3 to end up with 3(r+s) = 24 which is the same as 3r+3s = 24
----------------------------
An alternative is to solve r-2s = 17 for r to get r = 2s+17. Then plug this into 4r+7s = 23 getting 4(2s+17)+7s = 23. This solves to...
4(2s+17)+7s = 23
8s+68+7s = 23
15s+68 = 23
15s = 23-68
15s = -45
s = -45/15
s = -3
Which means,
r = 2s+17
r = 2(-3)+17
r = 11
and therefore,
3r+3s = 3(-3)+3(11) = -9+33 = 24
Solve X: -3x +32-2x=-2 (5x + 10)
How many solutions does
3x + 3 = 3(x + 1) have ?
1)
[tex] - 3x + 32 - 2x = - 2(5x + 10) \\ - 5x + 32 = - 10x - 20 \\ 5x = - 52 \\ x = - 10.4[/tex]
2)
[tex]3x + 3 = 3(x + 1) \\ 3x + 3 = 3x + 3 \\ 0x = 0[/tex]
This equation has an infinite number of solutions
The solution is infinite.
-Dhruva;)
HELP WILL GIVE BRAIN LIST PLZZ HELP ME ASAP!!
What is the volume of the figure above if a = 5 units and b = 8 units?
A.
215 cubic units
B.
825 cubic units
C.
200 cubic units
D.
325 cubic units
Answer:
D. 325 cubic units
Step-by-step explanation:
Since this is an irregular 3 dimensional object, I'm going to cut it into a 5 by 5 by 5 cube and a 5 by 5 by 8 rectangular prism.
Solving for the cube:
5*5*5=
25*5=
125 units³
Solving for the rectangular prism:
5*5*8=
25*8=
200 units³
Now to find the total volume of the figure, we need to add those 2 volumes together:
200+125=325 units³
Our answer is D. 325 cubic units.
if a quadrilateral is a square then is it a rectangle
Answer:
Yes it is.
Step-by-step explanation:
I did some research, plus we learned about this in Geometry
Plz click the Thanks button!
<Jayla>
Which two expressions can be used to answer this question? 45% of the 647 students at Royal Oak High attended the football game. How many students did not attend?
Answer:
356
Step-by-step explanation:
.55*647=356
In the state of Arkansas, Muscadine grapes are a very popular fruit for making jam and jelly. Michael began growing the fruit more than twelve years ago. He predicted this year's crop would produce 8 bushels. When harvesting was complete, he actually counted 14 bushels. Find the percent of error. (Round to the nearest whole percent and include the percent sign in your answer).
Answer:
The percentage of error in the question is 75%.
Step-by-step explanation:
To find the percentage of error, we need to subtract the actual value from the value that was expected, divide the result by the expected value.
He predicted that the crop would produce 8 bushels so this is our expected value. The actual value, which is the number of bushels produced, is 14.
If we make the calculation (14 - 8) / 8 = 6 / 8.And then multiply the result by 100 to find the percentage, (6 / 8) x 100 = 75.So the percentage of error in the question is 75%.
I hope this answer helps.
A number k is greater than 3
Answer:
k>3.
Step-by-step explanation:
Hello there!
Just graph this on a number line, and you will see that any number above 3 can be equal to k.
:)
If you help me god bless you and your a legend
Answer:
C. 14xy - 6y²
Step-by-step explanation:
The distributive property will essentially result in the sum of the product of the "outside term" with each of the "inside terms".
Here, the "outside term" is 2y and the "inside terms" are 7x and -3y. So:
2y(7x - 3y) = 2y * 7x + 2y * (-3y) = 14xy - 6y²
The answer is C.
Find the solution or solutions to the equation 36=q²
The solutions for the given equation are the values: -6 and 6.
RootThe exponent of a number indicates how many times to use the number in a product. The root is the inverse of a power operation. For example:
[tex]x*x=x^2[/tex] and [tex]\sqrt{x^2}=x[/tex]. See that the square root of a number is the value of power [tex]\frac{1}{2}[/tex] .
Therefore, in this question for finding the value of q, you should apply the square root in both sides.
[tex]36=q^2\\ \\ \sqrt{36} =\sqrt{q^2} \\ \\ \pm 6=q[/tex]
You can check this result applying the power 2. See:
(-6)²=(-6)*(-6)=36
(6)²= (6)*(6)=36
Learn more about the square root here:
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2. The temperature of the ocean at Huntington Beach can vary up to 8.6°F from the
average temperature of 75°F. Write and solve an absolute value equation to find the temperature extremes of the ocean.
temperature extremes of the ocean.
Let x represent temperature of the ocean.
We have been given that the temperature of the ocean at Huntington Beach can vary up to 8.6°F from the average temperature of 75°F. We are asked to write an absolute value equation to find the temperature extremes of the ocean.
We will use tolerance formula to solve our given problems.
[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]|x-75|\leq 8.6[/tex]
Therefore, our required inequality would be [tex]|x-75|\leq 8.6[/tex].
Using absolute value rule [tex]\text{If }|u|\leq a,\text{ then } -a\leq u\leq a[/tex], we will get:
[tex]-8.6\leq x-75\leq 8.6[/tex]
[tex]-8.6+75\leq x-75+75\leq 8.6+75[/tex]
[tex]66.4\leq x\leq 83.6[/tex]
Therefore, the temperature extremes of the ocean would be [tex]66.4\leq x\leq 83.6[/tex].
What is 3y^2 - 15y equal?
Answer:
3y(y−5)
Step-by-step explanation:
I factored the expression
mark me brainliest please
someone please solve this for me!
Answer:
x = 149
Step-by-step explanation:
The transversal t crosses parallel lines m and n creating a number of angles. Both marked angles are above and to the right of the point of intersection, so they are corresponding angles.
Corresponding angles in this geometry have identical measures:
x° = 149°
x = 149
x + y = 7 x + y = 6 What is the solution of the system shown? (6, 12) ( , 14) (10 , 5)
Answer:
no solution
Step-by-step explanation:
x + y = 7
x + y = 6
Multiply the second equation by -1
x + y = 7
-x - y = -6
-----------------------
0x +0y = 1
0 =1
This is never true so there is no solution
Use the Law of Sines and/or the Law of Cosines to solve each triangle. Round to the Nearest tenth when necessary
(Unit 8: Right Triangles & Trigonometry, Homework 9: Law of Sines & Cosines: + Applications)
Answer:
∠TSR= 48°
∠RTS = 107°
∠TRS = 25°
Step-by-step explanation:
As we know in any triangles,
a, b and c are sidesC is the angle opposite side cWe can apply The Law of Cosines , which is:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] − 2ab cos(C)
In this situation we have:
RT = a = 11TS = b = 6SR = c = 14Apply The Law of Cosines to find the angle of TRS
<=> [tex]6^{2} = 11^{2} + 14^{2} - 2*11*14*cos(TRS)[/tex]
<=> cos(TRS ) = ([tex]11^{2} + 14^{2} - 6^{2}[/tex]) / 2*11*14
<=> cos(TRS ) = 0.91
<=> ∠TRS = 25°
Apply The Law of Cosines to find the angle of RTS
<=> [tex]14^{2} = 11^{2} + 6^{2} - 2*11*6*cos(RTS)[/tex]
<=> cos(RTS) = ([tex]11^{2} + 6^{2} - 14^{2}[/tex]) / 2*11*6
<=> cos(RTS) = -0.29
<=> ∠RTS = = 107°
So we can find the measure of angle TSR
∠TSR= 180° - 107° - 25°
∠TSR= 48°
Using cosine law or sin law the angles of the triangle is as follows:
∠T = 107.2°
∠S = 48.6°
∠R = 24.2°
Using cosine rule,
Cosine rulet² = r² + s² - 2rs cos TTherefore,
14² = 6² + 11²- 2 × 6 × 11 cos T
196 - 36 - 121 = -132 cos T
cost T = 39 / - 132
T = cos⁻¹ -0.29545454545
T = 107.184793175
T = 107.2°
Sine ruleTherefore, let's find angle S using sine law
s / sin S = t / sin T
11 / sin S = 14 / sin 107.2
11 sin 107.2 = 14 sin S
sin S = 10.5080619833 / 14
S = sin ⁻¹ 0.75057585595
S = 48.6397771973
S = 48.6°
R = 18 0 - 48.6 - 107.2 = 24.2
R = 24.2°
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Use the compound interest formulas to solve. A = P(1 + r/n)nt and A = Pert Suppose you have $3000 to invest. Which investment yields the greater return over 10 years: Account 1: 6.5% compounded semiannually? Account 2: 6% compounded continuously? The account with the better investment is Account which yields dollars more after 10 years.
Answer:
Account 1 yields greater return.
Step-by-step explanation:
Lets solve for the first formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
First, change 6.5% into a decimal:
6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065
Now, plug in the values for Account 1:
[tex]A=3,000(1+\frac{0.065}{2})^{2(10)}[/tex]
[tex]A=5,687.51[/tex]
Now solve for Account 2:
Change 6% into a decimal:
6% -> [tex]\frac{6}{100}[/tex] -> 0.06
Now plug in the values:
[tex]A=3,000e^{0.06(10)}[/tex]
[tex]A=5,466.36[/tex]
Account 1 yields better money after 10 years.
The probability of rolling a multiple of 3 on a standard number cube is 1/3.
Is that true or false?
Answer:
its true
Step-by-step explanation:
3 and 6 are are the multiples of three on a standard number cube 2 numbers out of six are multiples so 2/6 2/6 reduced is 1/3