Answer:
2y² + 12y + 18
Step-by-step explanation:
2(y + 3)²
First use formula (a + b)² = a² + 2ab + b² to expand (y + 3)²:
(a + b)²
(y + 3)²
y² + 2*y*3 + 3²
y² + 6y + 9
Dont forget the 2:
2(y² + 6y + 9) <== distribute and multiply
2y² + 12y + 18
Hope this helps!
PLS HELP
it is the last question ignore the lesson and pg number ;)
Answer:
Step-by-step explanation:
Based on the graphs of the equations y = –2x + 3 and y = x2 – x + 1, the solutions are located at points:
(0.5, 0.75) and (1, 1)
(–2, 7) and (0, 1)
(0, 1) and (0.5, 0.75)
(–2, 7) and (1, 1)
The solutions of the equations are the point of intersection of the equations
The solutions are located at points (-2,7) and (1,1)
How to determine the solutions?The equations are given as:
y = –2x + 3 and y = x2 – x + 1
Next, we plot the graph of both equations
From the graph of the equations (see attachment), we have the solution to be:
(x,y) = (-2,7) and (1,1)
Hence, the solutions are located at points (-2,7) and (1,1)
Read more about system of equations at:
https://brainly.com/question/14323743
Answer:
D.
(–2, 7) and (1, 1)
Step-by-step explanation:
I took the algebra exam
What percentage of 340 is 425?
(A) 80%
(B) 85%
(C) 125%.
(D) 152%
if we take 340 as the 100%, what is 425 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 340 & 100\\ 425& x \end{array} \implies \cfrac{340}{425}=\cfrac{100}{x} \implies \cfrac{4}{5}=\cfrac{100}{x} \\\\\\ 4x=500\implies x=\cfrac{500}{4}\implies x=125[/tex]
What is the difference between 3/4 and 1 1/2
Answer:
3
Step-by-step explanation:11/2 = to 6/2 so the diffrence is 3 im geussing
LA=
Round your answer to the nearest hundredth.
Answer:
48.81
Step-by-step explanation:
Since we are given a right triangle, and we are trying to find a angle, we use the
SOH-CAH- TOA.
In relation to the angle, we know a side opposite of the angle and the side adjacent to the angle.
We use Tangent, which states that
[tex] \tan(x) = \frac{o}{a} [/tex]
Here the opposite side is 8
The adjacent side is 7.
[tex] \tan(x) = \frac{8}{7} [/tex]
Take the Inverse Tangent,
[tex] \tan {}^{ - 1} (( \tan(x) ) = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]
[tex]x = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]
Which gives us 48.81
Answer:
∠ A ≈ 48.81°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{7}[/tex] , then
∠ A = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{7}[/tex] ) ≈ 48.81° ( to the nearest hundredth )
How many unique triangles can be draw waith side lengths id 12 cm and 16 cm, and a 50 degree included angle?
Answer:
the answer for this question is 1
Solving systems of linear equations by substitution y= 2x-1 y = 3x +2
Answer:
(x,y)=(-3,-7)
Step-by-step explanation:
step 1
y=2x-1
y=3x+2
=
2x-1=3x+2
Find the volume of the figure below.
Answer:
B
Hope This Helps! :) Please Mark as brainliest!
Your new cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk. You use 50 additional minutes this month. What is your bill for the month?
CLEAR CHECK
Answer:
55
Step-by-step explanation:
cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk.
Let the monthly charge be y and x be the number of additional minutes.
So, the equation becomes,
y = 50 + 0.10(x)
For, The given month the additional minutes are 50.
so, y = 50 + 0.10(50) = 55
Answer:
here;
per month-50$ for 400 m
now'
50*0.10$
5$
again;
monthly + additional
50+5
$55
Find the value of x. (4x + 12)° 64°
Answer:
C. 13Step-by-step explanation:
the angle of measure 4x + 12 and the angle of measure 64 are Vertically opposite angles then they are equal in measure
therefore
4x + 12 = 64
⇔ 4x = 64 - 12
⇔ 4x = 52
⇔ x = 52/4
⇔ x = 13
18. A variety of species of Galapagos finches evolved from one original species long ago through the process of A. as reproduction B. ecological succession C. natural selection D. selective breading
Pls help will give brainlest
c , Natural selection is the process where species evolved over time through trying to adapt their environment.
what is this it hard
Answer:
supply and demand
Step-by-step explanation:
Brainliest and 50 points
are the polygons similar?
A) no; there is not a consistent ratio
B) yes; the scale factor from ADKG to WMLZ is 3/4
C) yes; the scale factor from ADKG to WMLZ is 3/2
D) yes; the scale factor from ADKG to WMLZ is 2/3
Answer:
A) no; there is not a consistent ratio
Step-by-step explanation:
If the polygons are similar than the corresponding sides will have similar ratios.
The corresponding sides of the polygons are (AD and WM) and (DK and ML)
The ratio from AD to WM is 6/4 or 1.5 and the ratio to DK to ML is 8/6 or 1.33
The corresponding sides do not have a common ratio therefore the polygon is not similar
whats the answer need it quick
[tex] \huge\fbox\green{ANSWER} [/tex]
[tex] \huge \mathsf \orange{4 \: turning \: points}[/tex]
haven’t done this for awhile. I’m confused
Answer:
—8, —5, —2, 1, 4
Step-by-step explanation:
Check out the attached photo
Help!!!
I need help
Answer:
x = 109°
Step-by-step explanation:
x = 64+45 = 109°
it looks simple, but that's the answer
Kyle designs and conducts a computer simulation with 25 trials and uses the data to create the relative frequency bar graph shown. The graph shows the relative frequency of number rolls needed of a number cube in order to roll all of the odd numbers. According to the results of the simulation, what is the experimental probability that 6 or fewer rolls are needed to roll all of the odd numbers? Express your answer as a percent.
Answer:
thirty-six, thirty six, 36%, thirty-six percent, thirty six percent, or 36 percent
A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty customers are surveyed, and 26 are satisfied. What conclusion can be drawn for the 800 daily customers?
If f(x) = 3x^5 + 4x^4 + 5, then what is the remainder when f(x) is divided by
X + 3?
Answer:
remainder: -400
Explanation:
[tex]\sf f(x) = 3x^5 + 4x^4 + 5[/tex]
divided by x + 3
x + 3 = 0x = -3insert x = -3 in the function
[tex]\sf f(x) = 3(-3)^5 + 4(-3)^4 + 5[/tex]
[tex]\sf f(-3) = -400[/tex]
What is the LCD of 6,4,3,42.?
Answer:
84 is the smallest number that is evenly divisible by 6, 4, 3, & 42 without a remainder.
84 ÷ 6 = 14
84 ÷ 4 = 21
84 ÷ 3 = 28
84 ÷ 42 = 2
The books namely Math, English, Arabic, Physics, and Chemistry are arranged in the rack by the librarian. What is the probability of Math book will be kept in first place?
Answer:
P(4,4) / P(5/5) = 1/5
Step-by-step explanation:
Total possibility:
All the 5 books can be arranged in a rack with P(5,5)=5! ways
Favorable Possibility:
Math book is kept in a first place, it mean that it is fixed
So remaining 4 books and that can be arranged in P(4,4)=4! ways
Hence,
Probability= number of favorable cases / total number of possibilities
Probability = P(4,4) / P(5,5) = 4! / 5! = 1/5
how many periods of the function y=tan x are there between -3pi/4 and 5pi/4? need help ASAP
Answer:
2
Step-by-step explanation:
Using the graph of tanx attached, we know that each period starts and restarts after each π. I've contrasted the periods of the functions in blue versus what we have between the two points in green.
From -3π/4 to 5π/4, we have.....
1/4 of a period
1 full period
3/4 of a period
1/4 + 1 + 3/4 = 2 periods
I hope this helps!
write an expression that has the same value of 5 to the power of 4
Answer:
5x5x5x5
Step-by-step explanation:
The expression that has the same value as [tex]5^4[/tex] is 25² or 625.
What are Exponents and powers?Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
The number of times a given integer is multiplied by itself is represented as an exponent.The expression obtained by multiplying a number by itself n times is known as the nth power of the supplied integer.We have [tex]5^4[/tex].
Usually exponents can be expand using the number the power is raised.
As, if we have 9³ then it means 9 is multiplies by itself three times.
So, 9³ = 9 x 9 x 9= 729
Now, we have to expand [tex]5^4[/tex] as
= 5 x 5 x 5 x 5
= 5² x 5²
= 25 x 25
= 25²
= 625
So, the Equivalent value to [tex]5^4[/tex] is 25² or or 5² x 5² or 625.
Learn more about Exponent and power here:
https://brainly.com/question/15722035
#SPJ7
An airplane flies at 400 mph with a direction of 120° relative to the air. The plane experiences a wind that blows 40 mph with a direction of 50°.
Part A: Write each of the vectors in linear form. Show all necessary calculations. (6 points)
Part B: Find the sum of the vectors. Show all necessary calculations. (2 points)
Part C: Find the true speed and direction of the airplane. Round the speed to the thousandths place and the direction to the nearest degree. Show all necessary calculations.
Answer:
caveat: your grader may expect <E, N> coordinates, reversed from these
A. <N, E> = <-200, 346.410> (plane) and <25.712, 30.642> (wind)
B. resultant <N, E> = <-174.288, 377.052>
C. resultant = 415.385∠115°
Step-by-step explanation:
The necessary calculations for vector arithmetic are handily carried out by a suitable calculator. The attached shows a TI-84 work-alike, but there are many other possible choices.
The necessary calculations for doing this "by hand" (without a calculator that does vectors or complex numbers) are ...
a∠b = a·cis(b) = (a·cos(b) +i·a·sin(b))
a +i·b = √(a²+b²)∠arctan(b/a) . . . . . with attention to signs and quadrant
__
Ordinarily, bearings are measured clockwise from North, and angles in the x-y or complex plane are measured counterclockwise from +x (East). If you use bearing angles without any translation, the resulting (complex plane) coordinates from rectangular/polar conversion are ...
(North + i·East)
Coordinates in this system can be added and subtracted in the usual way. When the result is converted back to a distance and direction, that direction can be considered to be a bearing angle. In short, we can use bearing angles in our math with no special treatment, provided we are consistent in that usage.
__
A.The airplane speed vector in <north, east> coordinates is ...
400∠120° = 400cos(120°) +i·400·sin(120°) = <-200, 346.410>
Similarly, the wind speed vector is ...
40∠50° = 40cos(50°) +i·40sin(50°) = <25.712, 30.642>
__
B.The sum of the vectors is found from the sum of their components:
plane + wind = <-200 +25.712, 346.410 +30.642> = <-174.288, 377.052>
__
C.Converting this vector in linear form back to a magnitude and direction gives ...
magnitude = √((-174.288)² +377.052²) = √172544.644542
magnitude ≈ 415.385 . . . mph
direction = arctan(-377.052/174.288) . . . . . 90° < θ < 180°
direction ≈ 115°
_____
Additional comment
As we discussed above, the vector coordinates used here are <N, E> coordinates. If you translate the bearing angles to Cartesian plane angles (measured CCW from +x), the corresponding coordinates will be <E, N> coordinates. That is, rectangular coordinates will be reversed from those shown here. If you're filling in an answer box, you may want to be aware of that fact.
In the data set below, what is the interquartile range?
15
24
34
34
36
60
70
73
87
91
91
95
As the planets revolve around the Sun, sometimes Earth is between the Sun and Mars (Point A) and sometimes the Sun is between Earth and Mars (Point B). The distance from the Sun to Mars is approximately 2.3 times 10 Superscript 8 km, and the distance from the Sun to Earth is approximately 1.5 times 10 Superscript 8 km.
The rotations of Earth and Mars around the sun.
Which statements are true? Check all that apply.
Answer:
ummmm i think its B and D
Step-by-step explanation:
Imma need some help here QwQ.
A farmer has a total of 7825 beet plants. He wants to plant 40 beet plants in each
row.
He does the following work in long division:
Answer:
A. The farmer plants 195 rows of beets and has 25 beet plants left over
Step-by-step explanation:
The quotient 195 is the number of full rows the farmer can make. That takes up 195*40 = 7800 plants so far. Then there's an extra 25 left over because 7825-7800 = 25 that can't make up an extra full row.
If PQ || SR and PQRS is an isosceles trapezoid,
find m<1
Answer: B
Step-by-step explanation:
-2/3 + [3/5 + -5/7]
HELP
Answer:
[tex]=-\frac{82}{105}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3}+\left[\frac{3}{5}+\left(-\frac{5}{7}\right)\right][/tex]
[tex]\frac{3}{5}+\left(-\frac{5}{7}\right)[/tex]
[tex]=-\frac{4}{35}[/tex]
[tex]=-\frac{2}{3}-\frac{4}{35}[/tex]
[tex]=-\frac{82}{105}[/tex]
[tex]\huge\text{Hey there\bf!}[/tex]
[tex]\mathsf{-\dfrac{2}{3} + [\dfrac{3}{5} + -\dfrac{5}{7}]}[/tex]
[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} + - \dfrac{5}{7}}[/tex]
[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} - \dfrac{5}{7}}[/tex]
[tex]\mathtt{-\dfrac{2\times35}{3\times35} + \dfrac{3\times21}{5\times21} - \dfrac{5\times15}{7\times15}}[/tex]
[tex]\mathtt{= -\dfrac{70}{105} + \dfrac{63}{105}- \dfrac{75}{105}}[/tex]
[tex]\mathtt{= \dfrac{-70 + 63 - 75}{105 + 0 - 0}}[/tex]
[tex]\mathtt{= \dfrac{-7 - 75}{105 - 0}}[/tex]
[tex]\mathtt{= \dfrac{-82}{105}}[/tex]
[tex]\mathtt{= -\dfrac{82}{105}}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\huge\boxed{\mathtt{\mathtt{= -\dfrac{82}{105}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Help please
10(5-n)-1=29
Hey there!
10(5 - n) - 1 = 29
10(5) + 10(-n) - 1 = 29
50 - 10n - 1 = 29
49 - 10n = 29
-10n + 49 = 29
ADD 49 to BOTH SIDES
-10n + 49 - 49 = 29 - 49
WORK IT OUT or SIMPLIFY IT!
NEW EQUATION: -10n = -20
DIVIDE -10 to BOTH SIDES
-10n/-10 = -20/-10
WORK IT OUT or SIMPLIFY IT AS WELL!
n = 2
Therefore, your answer is: n = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
n=2
Step-by-step explanation:
Step #1. Distribute the 10 to (5-n) which is 50-10n
Step #2. Simplify. 50-10n-1= -10n+50-1= -10n+49=29
Step #3. Subtract. -10n+49-49=29-49
Step #4. Simplify again. -10n = -20
Step #5. Divide. -10n/-10= -20/-10
Step #6. Simplify again. n=2
There you have it! N is equal to 2! please mark be as brainliest if you can.
Hope this helps!