Answers
Answer:
w = 3
Step-by-step explanation:
Raise both sides to the 4th power. This will "undo" the fourth root that is on both sides. See image. Then solve for w. Crossmultiply. Combine the w terms and the numbers. Divide to isolate the variable. See image.
Related Questions
Consider the function f(x)=x^2+bx−21, where b is a constant. If the function has an axis of symmetry at x=2, what is the value of b?
Answers
Answer:
2x+b
Step-by-step explanation:
f(x)=x
2
+bx−21
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax
n
is nax
n−1
.
2x
2−1
+bx
1−1
Subtract 1 from 2.
2x
1
+bx
1−1
Subtract 1 from 1.
2x
1
+bx
0
For any term t, t
1
=t.
2x+bx
0
For any term t except 0, t
0
=1.
2x+b×1
For any term t, t×1=t and 1t=t.
2x+b
Solve each proportion.
Answers
So first do 3(2x+1) = 4(3x-2)
Which gives you 6x+1 = 12x-8
Now you solve it like a normal equation
6x+1 = 12x-8
9 = 6x
3/2 = x
10 points, questions is in the picture
Answers
Answer:
I think the answer is A
Step-by-step explanation:
If you use the diameter of the circle when drawing you will not get more than one interesection with the circle which will be in the opposite side, repeating this step will just repeat the same circles. But if you use the radius of the circle [tex]r = AB[/tex] you will get something like the picture attached, bear in mind it's not exact but it helps picture the steps being followed.
The best way to solve this is by experimenting with the compass and following the steps to see the outcome.
For each of the following equations, say which one (d) has two rational solutions, (e) has two irrational
solutions, and (f) has two non-real solutions. Each answer (d, e, and f) is used once.
Answers
to solve this equation
[tex]x { }^{2} + 3x - 40 = 0[/tex]
we first identify it as quadratic and to solve we find two numbers that can multiply to get -40 and add to get positive three [tex](x - 5)(x + 8)[/tex]the factors being-5 and positive 8 satisfied the condition now to apply zero product principle [tex](x - 5) = 0 \: and \: (x + 8) = 0[/tex]from the equation above in (x-5)=0 we subtract 0 from both places and it literally reads [tex]x = + 5[/tex]for the second the same is done [tex]x = - 8[/tex]now for second question[tex]x^{2} + 3x + 1[/tex]not forgetting the zero. open two brackets and find no that can add to get 3 and multiply to get 1[tex](x + 1)(x + 1)[/tex]the answer being x=-1 and x=-1652,951 rounded to the nearest thousand? Please hurry fast!!!!
Answers
Place
Hundred thousand
Ten thousand
Thousand
Hundred
Tens
Ones
From right to left.
5 and above round up else ignore.
Put zeros everywhere you rounded.
Mark as the best!
100 points! compute the modulus and argument of each complex number 2(cos2pi/3+isin2pi/3)
Answers
Step-by-step explanation:
For a number,
[tex]r( \cos(x) + i sin(x))[/tex]
r is the modulus and
x is the argument
So here.
r is 2.
x is 2 pi/3
So the modulus is 2
the argument is 2 pi/3
Answer:
Modulus: 2
Argument: 2 pi/3
Step-by-step explanation:
A P E X
Find the area of the shaded region
Answers
Answer:
68 units sq
Step-by-step explanation:
You have to find the total area of all the shapes and subtract the unshaded.
(9 + 17) * 8 / 2, formula
26 * 4 = 104
Then find the unshaded part
9 * 8 / 2
9 * 4
= 36
104 - 36 = 68
Answer:
68
Step-by-step explanation:
The formula of a trapezoid is [tex]A = \frac{a+b}{2} h[/tex]
Use the values given in the equation:
[tex]A = \frac{17+9}{2} *8[/tex]
A = 13*8
A=104 (This the area of the overal trapezoid)
To find the area of the inner unshaded triangle, simply multiply 9 (Base) times height (8) * 1/2 to get 36
Then subtract 36 from 104 and you get 68
Rationalize denominator
Answers
Answer:
[tex]\huge\boxed{\bf\:2}[/tex]
Step-by-step explanation:
[tex]\frac{4}{3 + \sqrt{7}}[/tex]
Rationalise the denominator by multiplying the numerator & denominator of the fraction with [tex](3 - \sqrt{7})[/tex].
[tex]\frac{4\left(3-\sqrt{7}\right)}{\left(3+\sqrt{7}\right)\left(3-\sqrt{7}\right)}[/tex]
Now, we an see that the denominator is in the form of the algebraic identity: (x + y) (x - y) = x² - y². So,
[tex]\frac{4\left(3-\sqrt{7}\right)}{3^{2}-\left(\sqrt{7}\right)^{2}} \\= \frac{4\left(3-\sqrt{7}\right)}{9-7} \\= \frac{4\left(3-\sqrt{7}\right)}{2} \\[/tex]
The new denominator is 2.
[tex]\rule{150pt}{2pt}[/tex]
Answer:
Option D. 2
Step-by-step explanation:
Hello!
To rationalize the denominator, we should multiply the numerator and the denominator by the conjugate of the denominator. The conjugate simply means the same terms but with the opposite operation.
Rationalize[tex]\frac4{3+\sqrt7}[/tex][tex]\frac4{3+\sqrt7} * \frac{3 - \sqrt7}{3 - \sqrt7}[/tex][tex]\frac{12 - 4\sqrt7}{9 - 7}[/tex][tex]\frac{12 - 4\sqrt7}{2}[/tex]The new denominator is 2.
Will give brainliest :,)
Janel invested $7,000 at 3% interest, compounded semi-annually (two times a year). What would the value of the investment be after 8 years? A = P(1+r/n)^nt
A. 10,360.00
B. 8,882.90
C. 13,600.00
D. 8,680.00
E. 8,867.39
Answers
How much would the investment be worth?
As the function for interest is already given to us, also,
The principal amount, P = $7,000
The rate of Interest, r = 3%
Time period, t = 5 years
Compounded semiannually, n = 2
Substitute the values,
Hence, the worth of the investment after 5 years at an interest of 3% is $8,123.79.
Answer:
Hello! Let's find the value of Janel's investment after 8 years. In the formula we're using, P will represent the principal amount, r will represent the rate of interest, and t will represent time. Since the interest is compounded semi-annually (twice a year), n = 2. Finally, A represents the value of the investment after t (8 years).
Substitute these values into the formula:
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
[tex]A = 7000(1+\frac{0.03}{2} )^{2*8}[/tex]
Simplify the equation:
[tex]A = 8882.89883357[/tex]
Round this number to the nearest hundredth:
[tex]A = 8882.90[/tex]
The correct answer is B. 8,882.90.
I hope this helps you! Have a great day. :)
in a survey 15 high school students said they could drive 15 said they could not out of 60 college student survey 30 said They Could Dr., Micah concluded that if someone is in college that means in person is more likely to drive is is is micahs conclusion correct explain
Answers
no it's not correct
50% can drive and 50% cannot drive... cus the survey is conducted on 50% students... so assuming that 30 students' percentage is 100, 15 can drive and 15 cannot, therefore...
50% can drive and 50% cannot drive
hope it helps...!!!
cashews cost $0.40 per ounce. you have $6. can you buy one pound pf cashews
Answers
Answer:
[tex]0.40 * 6 = 2.4\[/tex]
So if one pound costs 2.4$, you will be able to buy 2 pounds with 6$
help???????????????????????????????
Answers
Answer:
a) - y = 30°,x = 70°
b)- y = 105°,x = 75°
c)- x = 25°
d)- x = 116°
Step-by-step explanation:
a) =
80 + 70 + y = 180 (co-interior angles)
or, y = 180 - 150
so, y = 30°
Now,
x = 70° (alternate angles)
b) =
y + 75 = 180° (co-interior)
(y = angle which is supplement to 75)
y = 180° - 75°
so, y = 105°
Now,
x + y = 180° (co-interior angles)
or, x = 180° - 105°
so, x = 75°
c)=
180° - 5x = 55° (corresponding angles)
or, 5x = 180° - 55°
or, 5x = 125°
or, x = 125°/5
so, x = 25°
d)=
64° + x = 180° (co-interior angles)
x = 180° - 64°
so, x = 116°
Answer:
See below ~
Step-by-step explanation:
a)
80 + 70 + y = 180 [co-interior angles are present]y + 150 = 180y = 30°x and 70° are alternate angles ⇒ x = 70°b)
y + 75 = 180° [Check line 1 of (a)]y = 105°x + y = 180° x + 105° = 180°x = 75°c)
55° + 5x = 180° [Angle adjacent to 55° corresponds to (5x)°]5x = 125°x = 25°d)
64° + x = 180° [Check line 1 of (a)]x = 116°QUICK BRAINLIEST
what is the area of the triangle base, height of the box and the width
Answers
Answer:
33800
Step-by-step explanation:
You have to multiply all the sides in order to get the answer.
13cm x 10cm = 130cm
130cm x 20cm = 2600cm
2600cm x 13cm = 33800
If f(x) = 2x^3- 2x^2 - 14x + 30 and x + 3 is a factor of f(x), then find all of
the zeros of f(x) algebraically.
Answers
Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
=============
2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
Apply the long division to find that there is only 1 real root
Carlos stood outside the park and asked every fourth person to enter the park for their favorite sport. There were four choices: football, baseball, basketball, and other. Bill surveyed a total of 54 people. Of those surveyed, 15 said football is their favorite, 13 said baseball is their favorite, 12 said basketball is their favorite, and 14 said other.
Answers
Answer:
216???
Step-by-step explanation:
54 times 4 bc every fourth person that comes in
I have no Idea tho
The cost of a train ticket increases by
17% and now costs £7.20.
How much did it cost before the
increase?
Answers
It costs $122.4 dollars before the increase.
How to calculate percentage of a number. Use the percentage formula: P% * X = YConvert the problem to an equation using the percentage formula: P% * X = Y.P is 17%, X is 7.20, so the equation is 17% * 7.20 = Y.Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
Therefore, It costs $122.4 dollars before the increase.
Learn more about Finding the Percentage here:
https://brainly.com/question/24862040
Find 3- 2 miles on a plane ✈️ drive to a park or a walk to your destination to find your friends or something to stop ✋ and get back in the service to stop ✋ fast traffic will go out of town next time we get off on time for your convenience to stop ✋ traffic at your house and your service stop ✋ fast your order was not delivered at your convenience shop where we were seated your food is ready for delivery and you will be in a booth by your office in a minute and a few more times your food will arrive in a minute.
Answers
Answer:
?
Step-by-step explanation:
5-16 Find the general indefinite integral.
16. [tex]\int \frac{\sin 2 x}{\sin x} d x[/tex]
Answers
I assume the integral is
[tex]\displaystyle \int\frac{\sin(2x)}{\sin(x)} \, dx[/tex]
Simplify the integrand:
[tex]\sin(2x) = 2\sin(x)\cos(x) \implies \dfrac{\sin(2x)}{\sin(x)} = 2\cos(x)[/tex]
Then the indefinite integral is
[tex]\displaystyle \int\frac{\sin(2x)}{\sin(x)} \, dx = 2 \int \cos(x) \, dx = \boxed{2 \sin(x) + C}[/tex]
3. Arrange the following numbers in descending order i) 12098, 12980, 12890, 12089 ii) 2008909, 299088, 2000899, 298099
Answers
Answer:
2008909, 2000899, 299088, 298099, 12890, 12089
Step-by-step explanation:
Start with the largest number then find the number with the smallest value closest to that number
[tex]Given[/tex] [tex]numbers:[/tex]
[tex]a)12098,12980,12890,12089[/tex]
Arranging numbers in descending order:
12980 > 12890 > 12098 > 12089
[tex]Given[/tex] [tex]numbers:[/tex]
[tex]b)2008909, 299088, 2000899, 298099[/tex]
Arranging numbers in descending order:
2008909> 2000899> 299088 > 298099
•••♪
verron tossed a coin 20 times the results were 8 heads and 12 tails, What is the best comparison between the theoretical and experimental probability of tossing heads?
Answers
Answer:
exp prob is less than theoret prob
Step-by-step explanation:
experimental 8 out of 20 8/20
theoretical 10 out of 20 10/20
What is the square root of (144/169)+(25/169) first 144/169+25/169 then square root of that
Answers
Answer:
1
Explanation:
Answer:
The square root of (144/169)+(25/169) is 1
Step-by-step explanation:
[tex]\sqrt{\frac{144}{169} +\frac{25}{169} = \frac{169}{169}} = \sqrt{1}[/tex]
[tex]\sqrt{1} =1[/tex]
hope this helps :)
In this diagram, line I, line m, and line n are parallel and intersected by a transversal.
Based on this diagram and the angle labeled 73°, which statement is true?
A) The value of x is 17 because the two angles are complementary
B) The value of x is 73 because the two angles are equal.
C) The value of x is 107 because the two angles are supplementary.
D) The value of x is 146 because one angle is twice the other angle.
Answers
Answer:
b
Step-by-step explanation:
. What is the product of √2x • √12500?
Answers
[tex]\sqrt{2x}\ \cdot \ \sqrt{12500}\\= \sqrt{25000x}\\= \sqrt{25} \cdot \sqrt{100} \cdot \sqrt{10x}\\= 5 \cdot 10\ \cdot \sqrt{10x}\\= 50\sqrt{x}[/tex]
Which survey question could have been asked to produce this data display?
What is the length and width of your favorite book?
How many pages are in your longest book?
How thick is the thickest book in your book collection?
How many books have you read that were at least 112 inches thick?
Line plot titled Books. The number line is labeled Thickness in inches and goes from 1 and 1 half to 4 by halves. There are 2 marks above 1 and 1 half, 3 marks above 2, 1 mark above 2 and 1 half, 1 mark above 3, 1 mark above 3 and 1 half, and 1 mark above 4.
Answers
Your answer would be 'How thick is the thickest book in your book collection?'
Answer:
how this is the thickest book
Step-by-step explanation:
i took the quiz and got it correct your welcome
The height of a ball (in feet) after t seconds is given by the quadratic function h=-16(t-5)^2+116
The ball reaches its maximum height at (blank) seconds.
Answers
Check the picture below, so pretty much reaches its maximum height at the vertex, now let's take a peek at the equation above hmmmm
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ h(t)=-16(t ~~ - ~~ \stackrel{h}{5})^2~~ + ~~\stackrel{k}{116}~\hfill \underset{maximum~height}{\stackrel{vertex}{(5~~,~~\underset{\uparrow }{116})}}[/tex]
What are two reasons for the creation of a petty cash fund?
Answers
Simplify.
14 7/15
-10 2/5
A. 4 1/15
B. 4 5/10
C. 4 1/2
D. 4 9/10
Answers
Answer:
A. 4 1/15
Step-by-step explanation:
14 7/15 - 10 2/5Multifly 14 and 15 to get 21015210+7/15 - 10 *5 + 2/5Add 210 and 7 to get 217217/15 - 10*5+2/5Multiply 10 and 5 to get 50217/15 - 5-+2/5Add 50 and 2 to get 52217/15 - 52/5The LCM of 15 and 5 is 15. Convert 217/15 and 52/5 to fractions with denominators of 15217/15 - 156/15Now that they have the same denominator Subtract 217 - 156 to get 6161/15 = 14 1/5
Bartering was an early way that people _____
Answers
Answer: hii
Exchanged a good or service directly for a good or service
Step-by-step explanation:
Bartering was an early way that people... Exchanged a good or service directly for a good or service.
Hopefully this helps you
- Matthew
Bartering was an early way that people exchanged goods.
☆Explanation:In earlier times money was not there,so people used to follow a system in exchange of goods. This system was known as barter system. In barter system commodities were exchanged against commodities. ¤ Example:-Let's imagine a situation between "A" and "B". Suppose "A" wants rice and have sugar. On the other hand "B" has rice and he wants sugar. So,there will be exchange between "A" and "B" where "A" will give sugar to "B" and "B" will give rice to "A".
This procedure of exchanging goods is known as barter system.Hope it helpsThe ages of all the patients in the isolation ward of the hospital are
38, 26, 13, 41 and 22.
What is the population variance?
Answers
okay l will help you on this
but it's not so realistic. it's a negative answer imagine
b/4 + 2 = 1 slove for b
Answers
Step-by-step explanation:
b/4 = 1-2
b/4 = -1
4 × b/4 = -1 × 4
b = -4