Answer:
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Step-by-step explanation:
Square root both sides:
[tex]4x - 1=\sqrt{11}[/tex] (There is supposed to be a ± sign but I couldn't do it on the equation thing)
[tex]4x=\sqrt{11}-1[/tex]
or
[tex]4x=-\sqrt{11} -1[/tex]
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Answer:
PLEASE APPRECIATE IT
Step-by-step explanation:
Square root both sides:
4x - 1=\sqrt{11} (There is supposed to be a ± sign but I couldn't do it on the equation thing)
The formulae for kinetic energy is E =-mv2.
Find the value of E when m= 900 and v=1.3,
Answer: ΔKE = 760.5 Joules
Step-by-step explanation:
Isnt the formula for ΔKE = 0.5m*v^2???
Im not going to use that formula you gave me, its wrong.
900/2 = 450
1.3^2 = 1.69
450 x 1.69 = 760.5 Jules
This is also the wrong subject btw
Sam is eating a Big Hamburger. The first bite was 20% of the Hamburger, the second bite was 20% of what is left and so every next bite is 20% of what is left. How much did the Hamburger weigh originally, if after the second bite there was 160g of it left?
Answer:
250 g
Step-by-step explanation:
160 g after two bites
80% after 1 bite
[tex]\frac{80}{100} =.8[/tex]
160 ÷ .8=200
200 ÷ .8=250
Answer:
250
Step-by-step explanation:
We start with the 100% and if we take 20% from that we get 80% if we take 20% from that we have 64%. This means 160 is 64%. So if we do 160/64*100 we will get the answer!
What can be concluded about the sequence 19, 15, 11, 7, . . . represented on the graph? Check all that apply. The common difference of the sequence is the same as the slope of the graph. The slope of the graph is –4. The next term in the sequence is represented by point (4, 3). f(x) = –4x + 19 represents the sequence. An infinite number of points can be determined to follow this sequence.
Answer:
3, -1
Step-by-step explanation:
the answer is A,B,E
i took the test
a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola
Answer:
The vertex form of the equation is [tex]y = -\frac{1}{3}( x-1)^{2} +1[/tex].
Step-by-step explanation:
You will use the equation [tex]y=a(x-h)^{2} +k[/tex] to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get [tex]y= a(x - 1)^{2} +1[/tex].
Then, we substitute the point as our x and y to get [tex]-2 = 9a+1[/tex] (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the [tex]9a[/tex] to get [tex]9a = 3[/tex]. Finally, divide by 9 on both sides to get [tex]a=\frac{1}{3}[/tex].
Now, substitute your [tex]a[/tex] back into the equation to get y = [tex]-\frac{1}{3}(x-1)^{2}+1[/tex].
This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get [tex]y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}[/tex].
Evaluate A² for A = 2.3
Answer:
5.29
Step-by-step explanation:
From A=2.3, A^2=2.3^2.3=2.3*2.3=5.29PLEASE HELP ASAP the question is in the picture
can you please rotate the picture
Solve the following equation 4×6x−7=1 x= log8log6 x= log2log6 x= log6log8 x= log6log2
Answer:
The value of x is [tex]x=\frac{\log(2)}{\log(6)}[/tex].
Step-by-step explanation:
Solve the equation as follows:
[tex]4\times 6^{x}-7=1[/tex]
[tex]4\times 6^{x}=7+1[/tex]
[tex]6^{x}=\frac{8}{4}[/tex]
[tex]6^{x}=2[/tex]
Take log on both sides.
[tex]\log(6^{x})=\log(2)[/tex]
[tex]x\log (6)=\log(2)[/tex]
[tex]x=\frac{\log(2)}{\log(6)}[/tex]
Thus, the value of x is [tex]x=\frac{\log(2)}{\log(6)}[/tex].
Esme buys jackets for $500 each and prices them for $700 each. If the selling price is reduced by 20%, what's the profit percentage?
Please help!!! Imma mark you the brainliest!!
12%
The cost Esme increased was 200, but then she reduced 20%of 700, which gives 140 dollars reduced. So, we subtract 140 from 200, which is 60 to find the actual increase.
Now, we follow the simple rules of percentage change
Increase divided by original times 100.
So, 60 divided by 500( not 700) times 100 = 12
What is the leading coefficient of the polynomial f(x)f(x) defined below? f(x)=−3x^4−10x^3
Answer:
9x^8
Step-by-step explanation:
f(x) is a binomial. Multiplying a binomial by itself results in a trinomial. In this problem we need ONLY to specify what the leading coefficient (coefficient of this trinomial product) is.
Here this is obtained by squaring the coefficient −3x^4. We get"
(-3)^2*(x^4)^2 = 9x^8
All trapezoids are parallelograms.
A. True
B. False
Answer:
True
parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid has one pair of parallel sides .
No, All trapezoids are not parallelograms.
We know that,
Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.
Having one set of opposing sides that are parallel defines a trapezoid as a quadrilateral. It can have congruent sides (isosceles), right angles (a right trapezoid), although none of those properties is necessary.
Hence, By definition of trapezoids,
All trapezoids are not parallelograms because Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.
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The total points scored in a basketball game can be calculated using the expression 3c + 3.
If c = 41, how many points total were scored?
Answer:
126 points :D
Step-by-step explanation:
Quick answer 126
You already have what "c" is so all you have to do it plug it in. If something says 3c or any number and any letter all you have to do is times the number by whatever that letter is so if c is 41 then 3c+3 would be 3 x 41 + 3.
A Car travels 42 km
On 7 litres of petrol. How long will it travel
on 12 litres of petrol.
Answer:
The answer is 72
Step-by-step explanation:
You'll do 42 divided by 7 times 2
42/7x2
Hope it helps.
A car travels 72 km on 12 liters of petrol.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Given that;
A Car travels 42 km on 7 liters of petrol.
Now,
Since, On 7 liters of petrol a car travel 42 km
Hence, On 1 liter of petrol distance cover by a car = 42 ÷ 7
= 6 km
So, On 12 liters of petrol distance cover by a car = 6 × 12
= 72 km
Thus, A car travels 72 km on 12 liters of petrol.
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Is the figure a translation?
Answer: yes
Step-by-step explanation: A translation is a transformation that slides a figure to a new position.
So in this problem, notice that we can slide the triangle on the top to the position of the triangle on the bottom.
So, this represents a translation.
evaluate.
(−1 2/3)^2=
Answer:
Step-by-step explanation:
(-5/3)(-5/3)= 25/9= 2 7/9
que se necesita para que una magnitud vectorial esté completamente definida ?
Answer:
Dirección y magnitud
Espero que esto ayude.
Answer:
Dirección y magnitud
Step-by-step explanation:
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.
Answer: [tex]\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}[/tex]
Step-by-step explanation:
Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse
[tex]9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]
Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12
[tex]10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}[/tex]
Note: 12² + opposite² = 20² → opposite = 16
[tex]11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]
Note: adjacent² + 5² = 6² → adjacent = √11
[tex]12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}[/tex]
Note: adjacent² + 7² = (13√2)² → adjacent = 17
Monty has a total of $290 in ten dollar and five dollar bills. This can be represented by the function 10x + 5y = 290. Interpret the x- and y-intercepts.
Answer:
The x-intercept indicates that he has 29 ten dollar bills
and no five dollar bills. The y-intercept indicates that he has 58 five
dollar bills and no ten dollar bills.
Step-by-step explanation:
write 3.25 x 10^4 as a ordinary number
Answer:
32500
Step-by-step explanation:
[tex]3.25 \times {10}^{4} = 3.25 \times 10000 \\ = 32500[/tex]
Answer:
32500
Step-by-step explanation:
3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500
Select the correct location on the image.
Shelly evaluated this expression using the order of operations, but she made a mistake. Which step includes Shelly's mistake?
2^2(3-8)divided by 5 - 1
Step 1
=2^2(-5)divided by 5-1
Step 2
4(-5) divided by 5 - 1
Step 3
-20 divided by 5 -1
Step 4
= -20 divided by 4
Step 5
= -5
Answer:
Step 4
Step-by-step explanation:
Given: Steps used by Shelly to evaluate the expression
To find: step that includes Shelly's mistake
Solution:
According to PEMDAS,
P denotes Parentheses
E denotes Exponents
M denotes Multiplication
D denotes Division
A denotes Addition
S denotes subtraction
Step 3 is [tex]-20\div 5-1[/tex] and step 4 is [tex]-20\div 4[/tex]
In step 4, first subtraction operation has been applied before the division operation.
There is a mistake in step 4 as according to PEMDAS, first -20 should be divided by 5 then 1 should be subtracted from the resultant number.
Answer:
Step 4 is correct for plato
Step-by-step explanation:
-20 divided by 4.
2xsquare-6x+3=0 by completing square method
Answer:
x = 2.36603 or 0.633975
Step-by-step explanation:
Here we want to solve the quadratic equation using the completing the square method.
2x^2-6x + 3 = 0
divide through by 2 first;
x^2 -3x + 3/2 = 0
x*2 -3x = -3/2
Half the x term will be -3/2 and squaring it is 9/4
we add this to both sides
x^2-3x/2 + 9/4 = -3/2 + 9/4
(x-3/2)^2 = 3/4
Finding square root of both sides
x-3/2 = √(3/4)
x = 3/2 ± √(3/4)
x = 3/2 + √(3/4) or x = 3/2-√(3/4)
which becomes
x = 2.36603 or 0.633975
true or false ? why and why not ?
7a + 4 - 2a is equivalent to 7a + -2a + 4
Communication Methods Among Teens
Frequency Two-Way Table
Which answer shows the relative frequency by the row
of girls?
O 52.5%, 23.0%, 24.6%, 100%
O 57.0%, 12.2%, 27.8%, 100%
O 60%, 12.2%, 27.8%, 100%
O 62.8%, 44.0%, 62.5%, 100%
Text
e-Mail
IM
Total
Boys
32
14
15
61
Girls
54
11
25
90
Total
86
25
40
151
Answer:
it’s c i think
Step-by-step explanation:
Answer C
Step-by-step explanation:
How many lines of rotational symmetry does this shape have?
Answer:
14 lines shape symmetry
Here is a circle touching a square. The area of the square is 36cm squared. Work out the area of the circle. Give your answer in terms of (Pi)
Answer:
see below
Step-by-step explanation:
Because the area of the square is 36 its side is 6 meaning the circle has a diameter of 6. This means that its radius is 3 so its area is 3² * π = 9π.
the volume of a cone is 540pi. work out the height of the cone.
Answer:
I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.
Step-by-step explanation:
The formula for a cone is
[tex]\pi \times r {}^{2} \times \frac{h}{3} [/tex]
From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:
[tex]r {}^{2} \times \frac{h}{3} = 540[/tex]
Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:
[tex]r {}^{2} h = 1620[/tex]
Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:
[tex]r \times h = 40.249[/tex]
If I knew the radius. I could get the answer by dividing both sides by the radius.
Good luck!
hat logarithmic function represents the data in the table?
x f(x)
25 2
125 3
625 4
Answer:
1
Step-by-step explanation:
Answer:
The answer is A!
3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.
In the diagram, what is the measure of AngleWRS?
Answer:
25 degrees
Step-by-step explanation:
The angle WRS for the given triangle will be ∠WRS = 25°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given that the triangle has an angle as shown in the image
The angle TRW → 25x + 30 = 180 -5x
→ x = 5°
Now the angle WRS → 180 - ( 25x + 30)
∠WRS = 25° hence, the correct answer will be this.
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Rebecca is given two triangles, ABC and DEF. at first glance, she thinks that the triangles are congruent. How can she use what she knows about rotations and triangle congruence to prove the triangle congruence?
Answer:
A
Step-by-step explanation:
If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40
If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.
We have given that,
Rebecca is given two triangles, ABC and DEF.
At first glance, she thinks that the triangles are congruent.
Therefore we have
What is the meaning of rotation?Rotation is circular movement.
A rotation is the movement of something through one complete circle.
The daily rotation of the earth upon its axis.
If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40.
Therefore, If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.
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What is the equation of the circle with center (11, 6) that passes through the point (17, 12)? A) (x − 11)2 + (y + 6)2 = 36 B) (x − 11)2 + (y − 6)2 = 36 C) (x + 6)2 + (y − 11)2 = 72 D) (x − 11)2 + (y − 6)2 = 72
Answer:
Its D
Step-by-step explanation:
Whenever there are _____________ in a set of data, the mean is not a good way to describe the data.
A. quartiles
B. modes
C. medians
D. outliers
Answer:
The answer is D because outliers are data far away from the main data set.
Answer:
d
Step-by-step explanation:
