Answer:
D
Step-by-step explanation:
x^2 - 4x + 4 = 36
Take the square root on both sides.
x - 2x + 2 = 6
Answer:
Bottom right on TTM/Imagine Math on the question asked it is d.
Step-by-step explanation:
simplify. Remove all perfect squares from inside the square root. V180=
Answer:
6√5
Step-by-step explanation:
We have to solve the expression [tex]\sqrt{180}[/tex]
Break 180 into its factors which are in the perfect square form.
Since, 180 = 9 × 4 × 5
= 3² × 2² × 5
Therefore, [tex]\sqrt{180}=\sqrt{3^{2}\times 2^{2}\times 5}[/tex]
= [tex]\sqrt{3^2}\times \sqrt{2^{2}}\times \sqrt{5}[/tex] [Since [tex]\sqrt{ab}=\sqrt{a}\times \sqrt{b}[/tex]]
= 3 × 2 × √5
= 6√5
Therefore, solution of the given square root will be 6√5.
Simplify the following v^4*v^5*v
Answer:
v^10
Step-by-step explanation:
For this, we need to understand one important rule of exponents. For powers of like bases, you add the exponents when they are being multiplied. With this in mind let's continue.
In this problem, the base is v, each multiplied with different powers. So:
v^4 * v^5 * v = v^(4+5+1) = v^10
So the solution will be v^10.
An additional example would be 2^2 * 2^3.
For this we know it would be 2^2 * 2^3 = 2^(2+3) = 2^5 = 32.
We can verify by simply doing 2 * 2 * 2 * 2 * 2 = 32. Note both are 32, and this example shows the usefulness of exponent rules.
Hope this helps. Cheers.
Answer:
v10
Step-by-step explanation:
v^4*v^5*v=v^10
add exponents when multiplying since we have exponents 4,5, and 1
4+5+1=10
Need help i dont understand
Answer:
The answer is d
Step-by-step explanation:
Each of four friends orders a sweatshirt from a catalog. There are 16 colors of sweatshirts, 7 of which are all cotton and 9 of which are a blend. Each one orders a different color (no repeats) at random. What is the probability that the friends order only cotton sweatshirts?
Answer:
here is your answer
Answer:hey guys just saying its 1/52
Step-by-step explanation:
Wally rides his bicycle at an average speed of 13 miles per hour. How many miles will he travel in 4 1/2 hours? Please answer this quickly!
Answer:
58.5
Step-by-step explanation:
Distance = rate * time
so if it's 4.5 hours:
Distance = 13 mph* 4.5 hours
= 58.5 miles
Can anyone plz help me? with this math question?
Answer:
it May be SAS postulate
On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20). Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.
Answer:
(10, 17)
Step-by-step explanation:
It might be easier to explain with a picture or drawing, but I am new to this, so I would try using words.
Assuming the fruit market is on that straight line from Tia's home to Lei's, So we look at both address (coordinates)
From Tia to Lei, x coordinate is from 4 to 12, that's increased by 8, divide by 4, one step is 2.
y coordinate is from 8 to 20, an increase of 12, divide by 4 again, one step is 3.
The fruit market is at 3/4 distance, so 3 steps, on both x and y coordinates.
x: 4+6 = 10
y: 8+9=17
The fruit market is at point (10,17)
What is graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
The point (x,y) which divides the segment AB with endpoints at A(x₁,y₁) and B(x₂,y₂) in ratio m:n has cordinates
[tex]x= \dfrac{nx_1+nx_2}{m+n}[/tex]
[tex]y= \dfrac{ny_1+ny_2}{m+n}[/tex]
Tia is at P(4, 8) and Lei is at Q(12, 20).
The fruit market (F) is three-fourths the distance from Tia’s home to Lei's home, then PM : PQ = 3:4 or PM : MQ = 3:1
So,
[tex]x= \dfrac{1.4+3.12}{3+1} = \dfrac{4+36}{4} = \dfrac{40}{4} = 10 \\y= \dfrac{1.8+3.20}{3+1} = \dfrac{8+60}{4} = \dfrac{68}{4} = 17[/tex]
Hence, the fruit market is at point (10,17) which means it is placed at the corner of 10th Street and 17th Avenue.
Learn more about graph here:
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36 моля колкото по бързо може формулата е (X÷2)÷(x×3)=305,4
Answer:
Step-by-step explanation:
The quotient of two numbers is 305.4. Find the quotient if the divisor decreases 2 times and the divisor increases 3 times
x/y = 305.4
3x/(y/2) = 6x/y = 6*305.4 = 1832.4
Note that the question will be deleted soon because it is posted in a language other than English.
Обратите внимание, что вопрос будет удален в ближайшее время, потому что он размещен на языке, отличном от английского.
Which of these functions could have the graph shown below?
y
80
70-
60
50+
40+
30+
20
10
-5
-4 -3
-2 -1 0
1
2
3
4
х
O A. f(x) = 20e
O B. f(x) = 2020
O C. f(x) = 20%
O D. f(x) = e20x
Answer:
A
Step-by-step explanation:
[tex]f(x) = 20 {e}^{x} [/tex]
The function that could have the graph shown is:
f(x) = 20[tex]e^x[/tex]
Option A is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function:
f(x) = 20[tex]e^x[/tex]
If we graph this function we get a similar graph that is shown.
The coordinates of f(x) = 20 [tex]e^x[/tex] are:
To find the coordinates, we need to plug in different values of x into the function and calculate the corresponding y-values.
For example, when x = 0, we have:
f(0) = 20e^0 = 20(1) = 20
So one coordinate on the graph is (0, 20).
Similarly, when x = 1, we have:
f(1) = 20e^1 = 20e = 20(2.71828) ≈ 54.6
So another coordinate on the graph is (1, 54.6).
We can find more coordinates by plugging in other values of x and calculating the corresponding y-values.
Now,
As x increases, the function f(x) grows exponentially, meaning the y-values will increase very rapidly.
Thus,
The function f(x) = 20[tex]e^x[/tex] could have the graph shown.
Learn more about functions here:
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Find the angle θ between the two sides of a triangle whose lengths are 5cm and 4cm , if its area is 5cm²
[tex] \Delta = \frac 1 2 a b \sin C[/tex]
[tex]\Delta=5, \quad a=5, \quad b=4[/tex]
[tex]\sin C = \dfrac{2 \Delta}{ab} = \dfrac{2 (5)}{5(4) } = \dfrac 1 2[/tex]
[tex]C=30^\circ \textrm{ or } C=150^\circ[/tex]
Answer: two possibilities, θ=30° or 150°
Evaluate the expression. Assume that all the angles are in Quadrant I. (cos (arctan √3/7))
Answer:
0.971
Step-by-step explanation:
Given the expression (cos (arctan √3/7)) which all lies in the first quadrant. Note that all the trigonometry identities (sin, cos and tan) are all positive in the first quadrant.
From the expression given
(cos (arctan √3/7)), we need to get the expression in parenthesis first.
Let y = (cos (arctan √3/7))
If u = arctan √3/7
Then y = cos(u) .... 1
Let's get the value of u first
u = arctan √3/7
u = arctan(0.2474)
u = 13.896°
Substituting u = 13.896° into equation 1, we will have;
y = cos(u)
y = cos13.896°
y = 0.971.
Hence the expression (cos(arctan√3/7)) is equivalent to 0.971
Answer:
y = 0.971.
Step-by-step explanation:
Given the expression (cos (arctan √3/7)) which all lies in the first quadrant. Note that all the trigonometry identities (sin, cos and tan) are all positive in the first quadrant.
From the expression given
(cos (arctan √3/7)), we need to get the expression in parenthesis first.
Let y = (cos (arctan √3/7))
If u = arctan √3/7
Then y = cos(u) .... 1
Let's get the value of u first
u = arctan √3/7
u = arctan(0.2474)
u = 13.896°
Substituting u = 13.896° into equation 1, we will have;
y = cos(u)
y = cos13.896°
y = 0.971.
The temperature in Chicago when the plane left was 22°F. When the plane arrived in Atlanta it was 46°F. What was the difference in temperature?
Answer:
24
Step-by-step explanation:
46 - 22 = 24
Rearrange the following formula to solve for p: wa+3p=q
Answer:
wa + 3p = q
3p = q - wa -- Subtract wa
p = (q - wa) / 3 -- Divide by 3
Answer:
[tex] \boxed{\sf p = \frac{1}{3} (p - wa)} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: p: \\ \sf \implies wa + 3p = q \\ \\ \sf Subtract \: wa \: from \: both \: sides: \\ \sf 3p = q - wa \\ \\ \sf Divide \: both \: sides \: by \: 3: \\ \sf \implies p = \frac{1}{3} (q- wa)[/tex]
The owner of a music store gathered data from several schools about the number of students in their concert and marching bands. The scatter plot shows the data she gathered and the line of best fit
Answer:
25 students
Step-by-step explanation:
What we need to do here is to do some tracing. We simply need to go to the point on the concert band where we have the value 35.
After sighting this value, we then make a tracing to the line of best fit. Then from this line of best fit, we trace the point on the matching band that correlated with the value 35.
If properly traced, we would arrive at a value of 25 on the marching band
WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i
Answer:
[tex]z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)[/tex]
Step-by-step explanation:
If a complex number is z=a+ib, then the trigonometric form of complex number is
[tex]z=r(\cos \theta +i\sin \theta)[/tex]
where, [tex]r=\sqrt{a^2+b^2}[/tex] and [tex]\tan \theta=\dfrac{b}{a}[/tex], [tex]\theta[/tex] is called the argument of z, [tex]0\leq \theta\leq 2\pi[/tex].
The given complex number is -5i.
It can be rewritten as
[tex]z=0-5i[/tex]
Here, a=0 and b=-5. [tex]\theta[/tex] lies in 4th quadrant.
[tex]r=\sqrt{0^2+(-5)^2}=5[/tex]
[tex]\tan \theta=\dfrac{-5}{0}[/tex]
[tex]\tan \theta=\infty[/tex]
[tex]\theta=2\pi -\dfrac{\pi}{2}[/tex] [tex][\because \text{In 4th quadrant }\theta=2\pi-\theta][/tex]
[tex]\theta=\dfrac{3\pi}{2}[/tex]
So, the trigonometric form is
[tex]z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)[/tex]
Answer:
in degrees the answer is 5 (cos 270 + i sin 270)
in radians the answer is 5 (cos (3pi/2) + i sin (3pi/2))
Step-by-step explanation:
An economist is studying the linear relationship between the selling price p, of a
mobile phone and the number of persons buying the phone x. The table of values
illustrates her findings. Write the equation that represents the relationship between the
number of persons buying the phone and the price of the phone.
Answer:
The equation that represents the number of persons buying the phone and the price of the phone is y = -0.75·x + 60
Step-by-step explanation:
The given data are as follows
x, p($)
10, 52.5
25, 41.25
40, 30
60, 15
We note that a plot of the given points give a straight line graph indicating a linear relationship
The rate of change of p($) with x is given by slope, m in the following relation;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Which gives;
[tex]Slope, \, m =\dfrac{41.25-52.5}{25-10} = \dfrac{30-41.25}{40-25} = \dfrac{15-30}{40-60} =-0.75[/tex]
Therefore, to write the equation in slope and intercept form, we have;
From the first point with coordinates (52.5, 10), we have
y - 52.5 = -0.75×(x - 10)
y = -0.75·x + 7.5 + 52.5 = -0.75·x + 60
The equation that represents the number of persons buying the phone and the price of the phone is y = -0.75·x + 60.
Urgent help I need it right now!!!!
Answer:
[tex]\boxed{\sf 30 \ bean \ cans}[/tex]
Step-by-step explanation:
The ratio of bean cans to corn cans is 6 : 7
Given that Corn cans = 35
Let the bean can be x
So,
The proportion for it will be:
6 : 7 = x : 35
Product of Means = Product of Extremes
7 * x = 6 * 35
7x = 210
Dividing both sides by 7
x = 30
So, 30 bean cans have to be put on the table to hold the needed ratio
In which quadrant or on which axis do each of the points (2, 3 ), ( 5, -6 ), ( 2,0 ) , ( -5, 2 ), (-2,-4), (0,-2).
from the above picture
2,3 = 1 quadrant
5,-6 = 4 quadrant
2,0 = on x axis
-5,2 = 2 quadrant
-2,-4 =3 quadrant
0,-2 = on y axis
how many ways can you order a hot dog with the choices below?
Answer:
8
Step-by-step explanation:
2 x 2 x 2 = 8
you have 2 choices each time, with or without
Expand. Your answer should be a polynomial in standard form. (6x+1)(1-3x)
Answer:
3x-18x^2+1
Step-by-step explanation:
(6x+1)(1-3x)
6x-18x^2+1-3x
6x-3x-18x^2+1
3x-18x^2+1
Hope this helps :)
Answer:
[tex]-18x^2+3x+1[/tex]
Step-by-step explanation:
[tex]6x *1=6x\\6x*-3x=-18x^2\\1*1=1\\1*-3x=-3x\\[/tex]
Add all the like terms
[tex]-9x^2+3x+1[/tex]
A wheel rolling at a constant speed has a radius of 15 inches and takes 30
seconds to roll 100 feet along the ground. What is its angular velocity? Use
3.14 for (pie) , and solve to two decimal places
Answer:
152.87 degree/seconds
Step-by-step explanation:
1 rotation = Circumference of a circle = 2πr
r = 15 inches
1 rotation = 2 × 3.14 × 15
94.2 inches.
We are told in the question that it takes 30 seconds to roll 100 feet along the ground
Convert feet to inches
1 feet = 12 inches
100 feet =
100 × 12 = 1200 inches.
Hence, if
94.2 inches = 1 rotation
1200 inches = X
Cross multiply
94.2 × X = 1200 × 1
94.2X = 1200
X = 1200/94.2
X = 12.738853503 rotations
Formula for Angular velocity = Number of rotations × 2π/time in seconds
Time = 30 seconds
12.738853503 × 2 × 3.14/30
= 2.6666666667 rotations per second
Converting Angular velocity to degree per second
= 2.6666666667 × 180/ π
= 2.6666666667 × 180/3.14
= 152.86624204 degree/seconds
Approximately to 2 decimal places
= 152.87 degree/seconds
What the answer question
Answer:
TW = 3.18 yd (Approx)
Step-by-step explanation:
Given:
TV = 6 yd
∠TYW = 32°
∠TWV = 90°
Find:
TW
Computation:
Using trigonometry application.
TW / TV = Sin 32°
TW / 6 = 0.53
TW = 3.18 yd (Approx)
On the coordinate plane below, Point P, is located at (2,-3) and point Q is located at (-4,4). Find the distance between points, P and Q
Answer:
[tex]d = \sqrt{85}[/tex] or d ≈ 9.22
Step-by-step explanation:
Distance formula:
[tex]d = \sqrt{(2 - (-4))^2 + (-3- 4)^2} \\d = \sqrt{36+ 49}\\d = \sqrt{85} \\[/tex]
Each day that a Redbox movie is kept past its due date, a $1.50 fee is charged at midnight.
What is the ordered pair it a movie is kept for 5 days?
Let x represents the number of days that a movie is late and y represents the total fee
Answer:
(5, 7.5)
Step-by-step explanation:
Each day the movie is late adds $1.50 for late fees.Then, after 5 days of past due, the total late fee would be: 5 * $1.50 = $7.50
Then the coordinate pair representing this would be: (5, 7.5)
Help please!! Thanks
Answer:
A
Step-by-step explanation:
First, let's label the variables:
[tex]\text{Let }x \text{ represent Kaylee's number of pens,}\\\text{Let }L \text{ represent Lou's number of pens,}\\\text{And let }I \text{ represent Ilene's number of pens.}[/tex]
The first and second sentence, Kaylee at the start has x pens. She gave half to Lou, who started out with two fewer than Kaylee.
In other words, the total Lou now has is:
[tex]L=(\frac{1}{2}x )+(x-2)[/tex]
The first term represents what Kaylee gave to Lou. The second term represents what Lou had originally (two fewer than Kaylee [x]).
Simplifying, we get:
[tex]L=\frac{3}{2}x-2[/tex]
Third sentence. Lou give half of his new total to Ilene, who started out with three fewer pens than Lou. Lou, remember, started with three fewer than Kaylee (x-2). In other words:
[tex]I=(\frac{1}{2}(\frac{3}{2}x-2) )+((x-2)-3)[/tex]
The left represents what is given to Ilene: one-third of Lou's new total. The right represents Ilene's original total: three fewer than Lou: or five fewer than Kaylee. Simplifying gives:
[tex]I=(\frac{3}{4} x-1)+(x-5)\\I=\frac{7}{4}x-6[/tex]
Finally, Ilene gives a third of this new amount to Kaylee, and Kaylee's final amount is 37. Thus:
[tex]37=x-\frac{1}{2}x+\frac{1}{3}(\frac{7}{4}x-6)[/tex]
The first term represents what Kaylee originally started with. The second term represents what she gave to Lou. And the third term represents what Ilene gave to Kaylee. Simplify:
[tex]37=\frac{1}{2}x+\frac{7}{12}x-2\\39=\frac{6}{12}x+\frac{7}{12}x \\39=\frac{13}{12}x\\ 468=13x\\x=36[/tex]
the mapping diagram shows a function S(x).
Which mapping diagram shows the inverse of S(x)?
Answer:
Again the domain consists of the pre-images and the range the images.
When we are looking for the f(x) we just look at the number it is pointing to in the range (when we have a diagram), and when we are looking for x when f(x)=y we look at the number that has a line pointed to y.
So the f(4)=
f(x)=4 when x is 8
The equal sides of isosceles triangle are 10 cm and perimeter is 28 cm. The area of this triangle is?
Answer:
A=24 CM²
Step-by-step explanation:
10 x 2 + x=28
20+x=28
x=8
a=b x h/2
a=6 x 8 / 2
a=24CM²
C(n)=4/9(-3)^n-1. WHATS THE 3rd TERM? Please help I can’t get this done
Answer:
Third term=4
Step-by-step explanation:
Given:
C(n)=4/9(-3)^n-1
Find the third term
Let n=3
Substitute n=3 into the equation
C(n)=4/9(-3)^n-1
C(3)=4/9(-3)^3-1
Step 1: evaluate the power 3-1
C(3) = 4/9(-3)^2
Step 2: evaluate (-3)^2
C(3) = 4/9(9)
It can be rewritten as
C(3) = 4/9*9
9 numerator will strike 9 denominator out leaving 4
C(3)=4
Therefore, the third term=4
C(3)=4
Mrs.joshi bought a saree for Rs 1750.she sold it at a profit of 4%.what would be her profit or loss percent ?
Answer: Rs 1820
Step-by-step explanation:
This is profit, thus is it a percentage increase of 4%. Thus, she sold the saree for 104% of what she bought it for, Rs 1750. Thus, simply do 1.04*1750 to get 1820.
Hope it helps <3
Evaluate 3x2 - 4 when x = 2.
A. 12
B. 32
c. 2
D. 8
Answer:
8
Step-by-step explanation:
3x^2 - 4
Let x = 2
3 * 2^2 -4
Exponents first
3 *4 -4
Then multiply
12 -4
Now subtract
8
[tex]\text{Plug in and solve:}\\\\3(2)^2-4\\\\3(4)-4\\\\12-4\\\\8\\\\\boxed{\text{D). 8}}[/tex]