Answer:
C
x²-8x+16
=(x-4)²
(x-4)²=0
x-4=0
x=4
⚠ PLEASE HELP ⚠ Calculate the product. (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225) will award BRAINLIEST.
Answer:
5/8
Step-by-step explanation:
The value of the expression is 8/15
What is expression?An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.
Given an expression, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225)
The expression is in the form of (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²)
We know, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²) = (n+1)/2n
Here, n = 15.
So, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225) = (15+1)/(2.15) = 16/30
= 8/15
Hence, The value of the expression is 8/15
For more references on expressions, click;
https://brainly.com/question/14083225
#SPJ3
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
answer is 45 if helped please give 5 star
please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!
The quadratic $-6x^2+36x+216$ can be written in the form $a(x+b)^2+c$, where $a$, $b$, and $c$ are constants. What is $a+b+c$?
Answer:
-47
Step-by-step explanation:
Step 1: Factor GCF
-6(x² - 6x - 36) = 0
Step 2: Divide by -6 on both sides
x² - 6x - 36 = 0
Step 3: Isolate x's
x² - 6x = 36
Step 4: Complete the Square
x² - 6x + 9 = 36 + 9
(x - 3)² = 45
Step 5: Move everything to one side
(x - 3)² - 45 = 0
So, a = 1, b = -3, c = -45
1 - 3 - 45 = -47
1.
Identify the translation of the parent function for y = [xl - 6.
6 units left
6 units up
6 unit right
6 units down
Answer:
6 units down
Step-by-step explanation:
Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.
If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0
Given that the parent function is an absolute value represented by:
y = |x|
Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down
simplify the expression (a+2b) - (3a+b)
Answer:
-2a+b
Step-by-step explanation:
Answer:
[tex] - 2a + b[/tex]solution,
[tex](a + 2b) - (3a + b) \\ = a + 2b - 3a - b[/tex]
Collect like terms
[tex] = a - 3a + 2b - b \\ [/tex]
Simplify:
[tex] - 2a + b[/tex]
Hope this helps..
good luck on your assignment....
WILL GIVE BRAINIEST TO THE FIRST ANSWER
Answer:x − 3 y = − 36
Step-by-step explanation:
Answer: The initial form is called slope intercept form// and the equation in standard form is 3y=37
Step-by-step explanation:
standard form = ax+by=c so you basically just have to take that and put it into the formula
Hope this helps
An audiologist is testing a patient to determine the softest sound of a specific frequency that the patient reports hearing. She begins with a 10 decibel (dB) sound for trial 1, then increases the volume by 2 dB for each trial after that. If the patient can hear all sounds of that frequency that have a volume louder than 26 dB, and t represents the trial numbers that the patient can hear, which of the following inequalities best models the situation described above?
Answer:
26 <t+2
Step-by-step explanation:
The volume has to be louder than 26 so the inequaltiy sign should be an x is greater than sign and the intervals increase by 2 so you can add 2 to each x.
Hope this helps!
50 points Please help Use the following random list of 100 numbers and the assignations 0-4 to represent girls and 5-9 to represent boys to answer the question below. 3199 9288 1023 1130 0809 1770 6231 7538 8927 4761 7258 7111 0209 0916 1450 9848 4654 7579 6150 3093 9608 0061 4014 9501 0382 3052 2385 9074 1664 6551 6577 1811 3454 5870 1277 5056 1063 5697 9141 4120 9181 1343 0168 3693 0463 4842 1704 3774 4908 4161 6404 9675 2518 3988 4268 6083 0636 9634 5295 5656 1918 3133 6831 8393 6363 2452 1531 1638 1317 2279 9395 0702 2091 5269 0422 0275 3373 1424 1958 0356 5163 0743 6658 6257 2772 0570 4522 2665 0890 3560 5549 2238 2172 9715 9741 4975 6617 9034 4441 8220 Based on the results of the simulation, what is the experimental probability that a group will include only boys? Based on the results of the simulation, what is the experimental probability that a group will not contain four boys? Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain all girls? Round your answer to the nearest number of groups.
Answer:
For the first question, there is a 39% chance for only boys and a 61% chance for only girls. For the second one it is, about 136 groups.
Step-by-step explanation:
100: 224 = 61:x → 61/100 = x/224
100x = 13664
x = 136.64 → 136 groups (You can't round up if you don't have enough people)
Hope this helped!
Answer: 39% chance for only boys and a 61% chance for only girls. For the second one it is, about 136 groups.
Step-by-step explanation:
:) The other answer is correct too! But just for clarification! :)
You are taking 1500 US dollars on a trip. After checking the exchange rate, you figure out the exchange rate is 1 US dollar to 0.74 euros. Task: write an equation to convert US dollars to euros. Will mark most brainiest if you answer!
Answer:
y= 0.74x
0.74 (1500) = 1,110 euros
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Since: 1 US dollar = 0.74 Euros
To convert x US dollars to Euros we have to multiply it by 0.74:
y= 0.74x
Where:
y = value in EUROS
x = value in US dollars
For 1500:
y = 0.74 (1500) = 1,110 euros
Feel free to ask for more if needed or if you did not understand something.
Hamish and hairy work as plumbers. Harry earns a dollar more than 5/4 The amount Hamish orange per hour. The amount Harry earns per hour is two dollars less than 7/5the amount Hamish and per hour. How much does each of them earn per hour?
Answer:
Harry earns 26 and Hamish earns 20
Step-by-step explanation:
The computation of the amount earned by each one of them is shown below:
Let us assume the hairy be Y
And, the Hamish be M
It is given that Harry earns a dollar i.e more than 5/4
And, it is $2 less than 7/5
So, the equation would be
y = 1.25m + 1 ...........................(i)
And,
y= 1.4m -2 .............................(ii)
Now equal both the equations
1.25m + 1 = 1.4m - 2
3 = 0.15m
So, m = 20
Now put the values of m in any of the above equation to find out the value of Y
Y = 1.25m + 1
= 1.25 (20) + 1
= 26
given f(x) = x -2, if the domain is 5, find the range
Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
There is no restriction on the variable x, so the domain is all reals.
Similarly, the range is all reals as the graph of this function is a line that is neither vertical nor horizontal.
6.) Polygons that do
not have all sides
equal and/or all
angles equal
Answer:
....................trapezium
Answer:
trapezoid or trapezium
Step-by-step explanation:
choose the correct simplification of (6x-5)(2x^2-3x-6)
Answer:
12x^3 -28x^2 -21x +30
Step-by-step explanation:
1) Distribute!
(6x-5)(2x^2-3x-6) = 12x^3 -18x^2 - 36x -10x^2 +15x+30
2) Combine like terms!
12x^3 -18x^2 - 36x -10x^2 +15x+30 = 12x^3 -28x^2 -21x +30
Answer is:
12x^3 -28x^2 -21x +30
Hope it helps!!
What's the total surface area of a covered box with a length of 4 ft, a width of 3 ft, and a height of 6 ft? Question 17 options: A) 108 sq ft B) 38 sq ft C) 84 sq ft D) 96 sq ft
Hey there! :)
Answer:
A. 108 ft².
Step-by-step explanation:
Find the area of each face using the dimensions 4, 3 and 6. Remember, there are 6 total faces with 3 sets of congruent faces. The faces are rectangular, so the formula A = l × w will be used to solve for the area of each:
2(4 ·3) = 2(12) = 24 ft²
2(4· 6) = 2(24) = 48 ft²
2(3 · 6) = 2(18) = 36ft².
Add up the areas of the faces:
24 + 48 + 36 = 108 ft².
Answer:
A) 108 sq ft
Step-by-step explanation:
SA = PH + 2LW
P = 2(L + W)
SA = 2(L + W)H + 2LW
SA = 2(4 ft + 3 ft)(6 ft) + 2(4 ft)(3 ft)
SA = 108 sq ft
Steve will write the list of consecutive integers, starting with 1, at the speed of 5 digits per second. What will be the sum of the final two digits he writes on his list at the end of 10 seconds?
=======================================================
Work Shown:
5 digits = 1 second
50 digits = 10 seconds (multiply both sides by 10)
At the end of 10 seconds, he has written 50 digits.
The first 9 digits (1 through 9) are single digits. After writing them, Steve has 50-9 = 41 digits left.
41/2 = 20 remainder 1. So this means that he wrote 20 additional two-digit numbers after that 1 through 9 block of single digit numbers. Those two-digit numbers are 10 through 29. The last digit he writes is 3
So the last two digits he wrote was 9 and 3
Add them up get 9+3 = 12
Answer:
12.
Step-by-step explanation:
If he writes 5 digits a second, then in 10 seconds he will write 50 digits:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3
9 + 3 = 12
Hope this help!
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
The answer would be D.
Step-by-step explanation:
I know this, because all you have to do is plug in whatever number equals zero in the parenthesis.
It should look like this.
G(x) = (x-3)^2 - 5
So you would plug in 3 for x.
Then the answer to the equation would be -5.
Then I look to see if there is a point at (3, -5)
There was a point there, so then I knew that was the answer.
Express as a product: 1+2cosα
Answer:
Step-by-step explanation:
1+2 cos α
[tex]=1+2(2 cos^{2} \frac{\alpha }{2} -1)\\=1+4 ~cos^2\frac{\alpha }{2} -2\\=4 ~cos^2\frac{\alpha }{2} -1\\=(2cos \frac{\alpha }{2} +1)(2 cos \frac{\alpha }{2} -1)[/tex]
In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is
1 to 1
4 to 4
4 to 1
1 to 4
Answer:
1 to 4 (1:4)
Step-by-step explanation:
every 1 mile to every 4 miles
car A 1 mile to car B 4 miles
Answer:
whats the question?
Step-by-step explanation:
why does math have to be so hard hellp me
Answer:
g= 4
Step-by-step explanation:
first, you want to subtract 36 from both sides of the equation to get rid of that and the plus sign, and get 6g by itself so that would be -6g=-24. then, you want to divide -6 from both sides, so you get g=4 as your answer. and I promise you that it's not so hard once you get the hang of it.
Answer:
G=4
Hint: Isolate terms with G to the left hand side
Subtract 36 from both sides:
(36-36) -6g = 12-36
Hint: Look for the difference of 2 identical terms.
-6g = -24
Divide by -6 on both sides:
-6g/-6 = -24/-6
g = 4
Hope this helps!
I don't even understand why math is a thing lol
Katie has an antique glass cabinet in the shape of a triangular prism. The base is an equilateral triangle that has a side length of 2 feet and a height of 1.7 feet. The height of the entire cabinet is 4.5 feet. How many cubic feet of space are inside the cabinet? 7.65 ft3 15.3 ft3 27 ft3 30.4 ft3
Answer: 7.65 ft3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a triangular prism = base area x height
Since:
Area of a triangle (base) = side length x height
Replacing with the values given:
A= (2 x 1.7 )/2 = 1.7 ft2
Back with the volume formula:
V = base area x height
Replacing with the values given:
V=1.7 x 4.5 =7.65 ft3
Here is a circle touching a square.
The area of the square is 36 cm2
Work out the area of the circle.
Give your answer in terms of pie .
Answer: 9πcm²
Step-by-step explanation: area of the square= 36cm²
Therefore, the area of one side= √area = √36 = 6cms
Since the circle is touching the sides of the square, the side of the square = the diameter of the circle
Therefore the radius of the circle= side/2 = 3cm
The formula for the ares of the circle is πr²
π*3*3 = 9πcm²
THINKING
4. Given is the Linear and Quadratic System g(x) = 3x2 + 8x + k and f(x) = 2x – 1.
Determine k such that g(x) = 3x2 + 8x + k intersects f(x) = 2x – 1 at one point.
Answer:
k = 2
Step-by-step explanation:
Given the equations:
g(x) = 3x² + 8x + k
f(x) = 2x - 1
At the intersection point:
g(x) = f(x)
3x² + 8x + k = 2x - 1
3x² + 6x + (k+1) = 0
If there is only one intersection point, the discriminant must be equal to zero:
b² - 4(a)(c) = 0
6² - 4(3)(k+1) = 0
36 - 12(k+1) = 0
36 - 12k - 12 = 0
24 = 12k
24/12 = k
2 = k
Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?HELP ASAP
Answer:
I think that her taking the skateboard is 4 times as fast as her walking.
Step-by-step explanation:
I got this because she traveled twice as long and twice as fast on the skateboard, so if you multiply it together, there u have it.
What is the distance to the earth’s horizon from point P? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. x = mi
Answer:
[Distance to the Horizon]^2 =Height of the skydiver x Diameter of the Earth
D^2 = 1.4 x 7918
D^2 = 11,085.2
D = Sqrt(11,085.2)
D = ~ 105.28628......miles - Distance to Horizon.
Step-by-step explanation:
Answer:
284.4 I took the test ;)
Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α
Answer:
60°
Step-by-step explanation:
DISCLAIMER:
the triangle is the pic is for representation purposes only.
Or in other words, we don't know what kind of a triangle is given so I just randomly draw an Acute triangle.
Anyway, if you have any questions about the way I solved it, don't hesitate to ask :)
The fair comes to town, and Alex and his father go to the archery range. His father agreed to let him have ten arrows. For each arrow that hit the target, Alex got two more arrows. At the end, Alex had used a total of 40 arrows. How many arrows hit a target in all?
Answer:
15...?
Step-by-step explanation: Sorry if I got this incorrect...
Alex 15 arrows hit a target in all.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Alex's first 10 all hit the target and earned him 20 more.
Now he has 20 and has used 10.
His next 5 hit the target and earned him 10 more.
He now has 25 (20–5+10) and has used 15.
All of the remaining 25 miss the target.
Alex had used a total of 40 arrows (25+15) and has hit the target 15 times.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ5
which point is a solution to y<_3x-4?
Answer:
D
Step-by-step explanation:
Replace by the coordinates
3*3 -1>1
Answer:
D. (3,1)
Step-by-step explanation:
Plug the X and Y values into the expression y<3x-4
Substitute 3 for X and 1 for Y and simplify
y < 3x - 4
1 < 3(3) - 4
1< 9 - 4
1< 5
In this case 1 is less than 5, that is a correct statement, so your answer is C.
Given: QR I PT and ZQPR = ZSTR
Angles Segments Triangles Statements Reasons
Prove: APQR - ATSR
ZQPR
ZQRP
ZSRT
ZSTR
Q
Statements
Reasons
S
R
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Intro
To prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof stating the statements with their reasons:
S1: QR is perpendicular to PT
R1: Given
S2: <QRP and <SRT are right angles
R2: Definition of perpendicular
S3: <QPR = <STR
R3: Given
S4: <QRP = <SRT
R4: All right angles are congruent
S5: Triangle PQR is similar to triangle TSR
R5: AA Similarity Theorem
What is the AA Similarity Theorem?According to AA Similarity Theorem, if two triangles have two pairs of congruent angles, then both triangles are similar to each other.Therefore, to prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof statimg the statements with their reasons:
S1: QR is perpendicular to PT
R1: Given
S2: <QRP and <SRT are right angles
R2: Definition of perpendicular
S3: <QPR = <STR
R3: Given
S4: <QRP = <SRT
R4: All right angles are congruent
S5: Triangle PQR is similar to triangle TSR
R5: AA Similarity Theorem
Learn more about AA Similarity Theorem on:
https://brainly.com/question/2166570
Answer:
Step-by-step explanation:
which is the equation of a line that is parallel to the line represented by y = 7/6x + 4?
Answer:
The answer that you are looking for is basically y = 7/6x + any number besides 4.
Step-by-step explanation:
So, two parallel lines are two lines that will never intersect. To have that, both of the lines have to have the same exact slope. But they cannot have the same y-intercept because that would change it from parallel to infinite solutions.
I hope that I helped.
Answer:
y = 7/6x + any number but not 4
ERROR