Answer: You will have to multiply (a+b)×(a+b) . Thus is the formula
Step-by-step explanation: hope it is correct .
Answer:
(a+b)² = a² + 2ab + b²
Step-by-step explanation:
Hello!
This is one of three special binomial products:
(a+b)² = a² + 2ab + b²(a-b)² = a² - 2ab + b²(a+b)(a-b) = a² - b²All you have to do is expand the parenthesis, and this will give you a simple format to follow. This can be used to quickly factor the expanded forms, or quickly multiply the factored forms.
PLEASE HELP ME ON THIS QUSTION
The data shows the age of thirteen different dogs at a dog park.
3, 3, 7, 2, 11, 4, 8, 14, 10, 8, 13, 5, 4
Create a histogram of this data.
To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.
Answer:
Given the following data shows the age of thirteen different dogs at a dog park:
3, 3, 7, 2, 11, 4, 8, 14, 10, 8, 13, 5, 4
The frequency table is as shown below;
Age | number of dogs
0 - 2 | 1
3 - 5 | 5
6 - 8 | 3
9 - 11 | 2
12 - 14 | 2
Step-by-step explanation:
To create a histogram of the given data, you would have to plot the ages of the dogs against the number of dogs.
Calculations and Parameters:Given the set of data: 3, 3, 7, 2, 11, 4, 8, 14, 10, 8, 13, 5, 4
You would have to create a frequency table and this would contain the ages and number of the dogs as displayed below:
Age | number of dogs
0 - 2 | 1
3 - 5 | 5
6 - 8 | 3
9 - 11 | 2
12 - 14 | 2
Read more about histograms here:
https://brainly.com/question/2962546
#SPJ2
There are 350 eighth graders at Wilson Middle School. In the class president election, 252 students voted for Luke, 56 students voted for Alice, and 42 students voted for Chris. What percent of eighth graders voted for Luke?
72%
hope it helps...!!!
Answer:
72%
Step-by-step explanation:
Step 1.
Do 252 divided by 350
252/350
Step 2.
Convert answer into percentage
252/350=.72
.72=72%
Volume of a Cylinder
The volume is 54,437.52.
Answer:
54,437.52 ( fifty four thousand four hundred thirty seven and fifty two thousanths.)
Step-by-step explanation:
Can you help me with the top question please I’ll give brainliest
Answer:
C
Step-by-step explanation:
Can someone explain why this equation equals 2?
Answer:
bc it dose
Step-by-step explanation:
Find the Volume. 4 1/2 ft 3 ft 7 1/5
Answer:
97.2 ft
Step-by-step explanation:
4 1/2*3*7 1/5=13.5*7.2=
97.2
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x = 14
y = 30
Step-by-step explanation:
x + 10 = 3x - 18
x = 3x - 18 - 10
x = 3x -28
x - 3x = -28
-2x = -28
x = 14
(3x - 18) + (6y - x - 10) = 180
3x - x -18 - 10 + 6y = 180
2x - 28 + 6y = 180
2x + 6y = 180 + 28
2(14) + 6y = 208
6y = 208 - 28
6y = 180
y = 30
I hope this helps!
Simplify these expressions.
a. 6ab + (–3x) + 2ab
b. 12x + 4y + (–3x)
c. 6w + (–2y) + 3w
d. 4abc + (–9abc) + 10d
Answer:
a. 6ab +( - 3x) + 2ab
=6ab - 3x +2ab
=6ab + 2ab - 3x
=8ab - 3x
Step-by-step explanation:
Eliminated the brackets first
Collected like terms
Then I solved
Round 2566.36 to the nearest tenth
Here are the travel times in minutes of 19 randomly chosen New York workers:
5
10
15
15
15
15
20
20
20
20
30
30
40
40
45
60
60
65
85
1. Find the mean of the New York travel times.
32 because you add all the number the divide by the total amount witch is 19
HELP! Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the
rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answer:
b
Step-by-step explanation:
These are Questions/answers for #1, 2, 3, 17, 18, 19 & 20 if you can't see what it says in the picture (Please answer all questions in correct order)
#1.Given w = −96i −180j, what are the magnitude and direction of −4w? Round the answers to the nearest whole number.
204; 62°
816; 62°
204; 242°
816; 242°
# 2. A basketball player shoots a free throw, where the position of the ball is modeled by x = (24cos 48°)t and y = 6.1 + (24sin 48°)t − 16t 2. What is the height of the ball, in feet, when it is 13 feet from the free throw line? Round to three decimal places.
10.053
10.292
10.673
11.025
#3.Vectors u and v are shown on the graph.
vectors u and v share an initial point and vector u points down 8 units and vector v points to the right 6 units
Which of the following vectors represents u + v? (Please put/show a graph if you can)
17.What are the magnitude and direction of u + v + w? Round the magnitude to three decimal places and the direction to the nearest degree.
53.241; 355°
52.822; 355°
53.241; 5°
52.822; 5°
#18. Which point represents z1 + z2?
P
Q
R
S
Question 19. A barge is being towed by two tugboats, using ropes with force vectors as shown.
Two vectors named F sub 1 and F sub 2 that share an initial point from the barge each pointing to a different tugboat
Given vector F sub 1 equals open angled bracket 12000 comma 7000 close angled bracket and vector F sub 2 equals open angled bracket 14500 comma negative 5000 close angled bracket comma what is the angle between the ropes? Round to the nearest degree.
31°
33°
49°
54°
Question 20.Given v = 8i − 3j and w = −12i + 4j, find 7v − 2w.
−80i − 29j
−80i + 29j
80i − 29j
80i + 29j
Answer:
See below for answers and explanations (along with a graph for #3)
Step-by-step explanation:
Problem #1
Applying scalar multiplication, [tex]-4w=-4\langle-96,-180\rangle=\langle384,720\rangle[/tex].
Its magnitude would be [tex]||-4w||=\sqrt{384^2+720^2}=816[/tex].
Its direction would be [tex]\displaystyle\theta=tan^{-1}\biggr(\frac{720}{384}\biggr)\approx61.927^\circ\approx62^\circ[/tex].
Thus, B) 816; 62° is the correct answer
Problem #2
Find the time it takes for the ball to cover 13ft:
[tex]x=(24\cos48^\circ)t\\13=(24\cos48^\circ)t\\t\approx0.8095[/tex]
Find the height of the ball at the time it takes for the ball to cover 13ft:
[tex]y=6.1+(24\sin48^\circ)t-16t^2\\y=6.1+(24\sin48^\circ)(0.8095)-16(0.8095)^2\\y\approx10.053[/tex]
Thus, A) 10.053 is the correct answer
Problem #3
We have [tex]u=\langle0,-8\rangle[/tex] and [tex]v=\langle6,0\rangle[/tex] as our vectors. Thus, [tex]u+v=\langle0+6,-8+0\rangle=\langle6,-8\rangle[/tex]. Attached below is the correct graph. You can also solve the problem visually by using the parallelogram method where the resultant vector is the diagonal of the parallelogram.
Problem 4 (#7)
[tex]\displaystyle t \cdot v=(7)(-10)+(-3)(-8)=-70+24=-46[/tex]
Thus, C) -46 is the correct answer
Problem 5 (#8)
Find [tex]r[/tex] and [tex]\theta[/tex]:
[tex]r=\sqrt{x^2+y^2}=\sqrt{2^2+(-8)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}\approx8.246[/tex]
[tex]\displaystyle\theta=tan^{-1}\biggr(\frac{y}{x}\biggr)=tan^{-1}\biggr(\frac{-8}{2}\biggr)\approx-75.964^\circ[/tex]
Find the true direction angle accounting for Quadrant IV:
[tex]\theta=360^\circ-75.964^\circ=284.036^\circ[/tex]
Write the complex number in polar/trigonometric form:
[tex]z=8.246(\cos284.036^\circ+i\sin284.036^\circ)[/tex]
Thus, C) 8.246(cos 284.036° + i sin 284.036°) is the correct answer
Problem 6 (#12)
Eliminate the parameter and find the rectangular equation:
[tex]x=3t\\\frac{x}{3}=t\\ \\y=t^2+5\\y=(\frac{x}{3})^2+5\\y=\frac{x^2}{9}+5\\9y=x^2+45\\0=x^2-9y+45\\x^2-9y+45=0[/tex]
Thus, D) x^2-9y+45=0 is the correct answer
Problem 7 (#13)
Find the magnitude of the vector:
[tex]||v||=\sqrt{(-77)^2+36^2}=85[/tex]
Find the true direction of the vector accounting for Quadrant II:
[tex]\displaystyle \theta=tan^{-1}\biggr(\frac{36}{-77}\biggr)\approx-25^\circ=180^\circ-25^\circ=155^\circ[/tex]
Write the vector in trigonometric form:
[tex]w=85\cos155^\circ i+85\sin155^\circ j[/tex]
Thus, D) w=85cos155°i+85sin155°j is the corrwect answer
Problem 8 (#15)
[tex]\frac{z_1+z_2}{2}=\frac{(3-7i)+(-9-19i)}{2}=\frac{-6-26i}{2}=-3-13i=(-3,-13)[/tex]
Thus, C) (-3,-13) is the correct answer
Problem 9 (#16)
Treat the golf ball and wind as vectors:
[tex]u=\langle1.3\cos140^\circ,1.3\sin140^\circ\rangle[/tex] <-- Golf Ball
[tex]v=\langle1.2\cos50^\circ,1.2\sin50^\circ\rangle[/tex] <-- Wind
Add the vectors:
[tex]u+v=\langle1.3\cos140^\circ+1.2\cos50^\circ,1.3\sin140^\circ+1.2\sin50^\circ\rangle\approx\langle-0.225,1.755\rangle[/tex]
Find the magnitude of the resultant vector:
[tex]||u+v||=\sqrt{(-0.225)^2+1.755^2}\approx1.769[/tex]
Find the true direction of the resultant vector accounting for Quadrant II:
[tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{1.755}{-0.225}\biggr)\approx-82.694^\circ\approx-83^\circ=180^\circ-83^\circ=97^\circ[/tex]
Thus, B) 1.769 m/s; 97° is the correct answer
Problem 10 (#17)
Identify the vectors and add them:
[tex]u+v+w=\langle50\cos20^\circ,50\sin20^\circ\rangle+\langle13\cos90^\circ,13\sin90^\circ\rangle+\langle35\cos280^\circ,35\sin280^\circ\rangle=\langle50\cos20^\circ+13\cos90^\circ+35\cos280^\circ,50\sin20^\circ+13\sin90^\circ+35\sin280^\circ\rangle=\langle53.062,-4.367\rangle[/tex]
Find the magnitude of the resultant vector:
[tex]||u+v+w||=\sqrt{53.062^2+(-4.367)^2}\approx53.241[/tex]
Find the true direction of the resultant vector accounting for Quadrant IV:
[tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{-4.367}{53.062}\biggr)\approx-4.705^\circ\approx-5^\circ=360^\circ-5^\circ=355^\circ[/tex]
Thus, A) 53.241, 355° is the correct answer
Problem 11 (#18)
We observe that [tex]z_1=-8-6i[/tex] and [tex]z_2=4-4i[/tex], hence, [tex]z_1+z_2=(-8-6i)+(4-4i)=-4-10i[/tex]
Thus, Q is the correct answer
Problem 12 (#19)
Find the dot product of the vectors:
[tex]F_1\cdot F_2=(12000*14500)+(7000*-5000)=174000000+(-35000000)=139000000[/tex]
Find the magnitude of each vector:
[tex]||F_1||=\sqrt{12000^2+7000^2}=1000\sqrt{193}\\||F_2||=\sqrt{14500^2+(-5000)^2}=500\sqrt{941}[/tex]
Find the angle between the two vectors:
[tex]\displaystyle \theta=\cos^{-1}\biggr(\frac{F_1\cdot F_2}{||F_1||||F_2||}\biggr)\\ \theta=\cos^{-1}\biggr(\frac{139000000}{(1000\sqrt{193})(500\sqrt{941})}\biggr)\\\theta\approx49.282^\circ\approx49^\circ[/tex]
Thus, C) 49° is the correct answer
Problem 13 (#20)
Using scalar multiplication, [tex]7v-2w=7\langle8,-3\rangle-2\langle-12,4\rangle=\langle56,-21\rangle-\langle-24,8\rangle=\langle56-(-24),-21-8\rangle=\langle80,-29\rangle=80i-29j[/tex]
Thus, A) -80i - 29j is the correct answer
Joseph works 5 hours on Monday, 10 hours on Tuesday, 9.5 hours on Wednesday, 8.25 hours on
Thursday, 6 hours on Friday, and 7.5 hours on Saturday. He is paid $9.85 per hour and time and a
half for all hours over 40 per week. Find his gross earnings per week.
I
I
Answer:
459.9 or 460
Step-by-step explanation: add it all up and multiply and then add once more the half times the 6.25 hours of overtime
What is the circumference of a circle with a radius of eight inches
Answer:
50.24 inches[tex] \: [/tex]
Step-by-step explanation:
It is given that, the radius of a circle is 8 inches and we are to find the circumference of the circle.
[tex] \: [/tex]
To find the circumference of the circle we must know this formula first :
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Circumference_{(circle)}= 2 \pi r}}}}}} \: \: \bigstar \\ \\[/tex]
Where
r is the radius of the circle.We'll take the value of π as 3.14Now substituting the values in the formula :
[tex]\\{ \longrightarrow \qquad{ {{\sf{{ \: Circumference_{(circle)}= 2 \times 3.14 \times 8}}}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{\sf{{ \: Circumference_{(circle)}= 3.14 \times 16}}}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ { \pmb{\frak{{ \: Circumference_{(circle)}= 50.24}}}}}} \: \: \\ \\[/tex]
Therefore,
The circumference of the circle is 50.24 inchesAnswer:
C = 50.24 in
Step-by-step explanation:
Given that,
→ Radius (r) = 8 in
Formula we use,
→ 2πr
The circumference of the circle will be,
→ 2πr
→ 2 × 3.14 × 8
→ 6.28 × 8
→ [ 50.24 in ]
Hence, the circumference is 50.24 in.
A case of 12 jars of salsa weighs 180 ounces. How many ounces will 5 jars of salsa weigh?
Answer:
75 ounces
Step-by-step explanation:
Divide 180 by 12 to see how much a single jar weighs
180/12 = 15
Multiply the weight of one jar by how many jars you need
15x5 = 75
Answer: 75 ounces
Step-by-step explanation:
The 12 jars combined weigh 180 ounces in total. We find the weight per jar by dividing 180 ounces by 12 which gives is 15 ounces per jar. We find the weight of 5 jars by multiplying 5 jars by 15 ounces. Here are the calculations as follows.
180÷12=1515x5=75A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question:
What is the probability of correctly guessing at random exactly one correct answer? Round your answer to the nearest whole number.
Answer:
¿Cuál es la probabilidad de aprobar un examen al azar?
Resultado de imagen para ¿Cuál es la probabilidad de adivinar correctamente al azar exactamente una respuesta correcta?
La probabilidad de acertar respondiendo al azar una pregunta es de una entre cuatro: 1/4 = 0.25. Normalmente decimos un 25% de probabilidad de acertar. La probabilidad de fallar sería tres entre cuatro: 3/4 = 0.75. O sea un 75%.
Step-by-step explanation:
this is the best ✔️ 5+(2-3)49_.56837659=0-9
Step-by-step explanation:
0 upto 9
In a cash drawer there is $208.00 in $1 bills and $5 bills. The number of $5 bills is three times as the
number of $1 bills. How many of each are in the drawer?
Answer:
there are $624.00 $5 in the money drawer
Can someone help please
Answer:
24sq.ft
Step-by-step explanation:
Area of a parallelogram = Base*HeightHere,
→Base = 6ft, Height = 4ft
→ 6*4ft
→24sq.ft
While writing area of a figure, we have to express the area in sq which means square ThankYouPlease mark me as brainliest
A box of apples has a mass of 6.2 kilograms. How many grams is equivalent to 6.2 kilograms?
16. Jason leaves Detroit at 2: 00 PM and drives at a constant speed west along I-94. He passes Ann Arbor, 40 mi from Detroit, at [tex]2\colon50\mathrm{PM}\text{.}[/tex]
(b) Draw the graph of the equation in part (a).
Answer:
at 2: 00 PM constant speed may 4:00 constant speed
Step-by-step explanation:
makatulong po ba
which expressions are equivalent to 5 times 5 times 5 times 5 times 5 times 5? Select all the expressions that apply.
Answer:
5 to the power of 5. In other words, 3125
Answer:
5*5*5*5*5*5
[tex]5^6[/tex]
Step-by-step explanation:
If your answer choices show exponents, then any base 5 exponents multiplied that have exponents adding up to 6 will work too.
A computer fan's speed rises as the computer heats up. Based on the table, what is MOST LIKELY the fan's speed at 7 minutes?
A) 0 RPM
B) 1,400 RPM
C) 2,100 RPM
D) 2,800 RPM
Answer:
2,800
Step-by-step explanation:
Because they are adding 700 each time.
A number is chosen at random from 1 to 50. Find the probability of see tiny multiples of 12
Answer:
4/50
Step-by-step explanation:
12,24,36,48 are multiples of 12
1. Dr. Orchid has 9 paintings she wants to hang side by side on her wall.
(a) In how many ways can she arrange all 9 paintings? Show your work.
(b) If she only wants to display 4 of the paintings, in how many ways can she choose the paintings she
wishes to display? Show your work.
Answer:
The number of ways to arrange the 9 paintings is 362880, and there are 126 ways to display only 4 out of the 9 paintings
Part A: The number of arrangements.The number of paintings is given as:
n = 9
The number of arrangement is then calculated using:
n! = 9!
Evaluate the factorial
n! = 362880
Part B: The number of selectionTo select 4 paintings from a total of 9, we make use of the following combination formula
Ways = 9C4
Evaluate the above expression using a calculator
Ways = 126
Hence, there are 126 ways to display only 4 out of the 9 paintings
Read more about combination at:
https://brainly.com/question/11732255
#SPJ1
A cube has a volume of 216 cubic inches. What is the width of the cube?
Answer:
6
Step-by-step explanation:
Find the cube root of 216
Please help me fast!
Find the Inverse
To find the inverse, interchange the variables and solve for
y
.
f
−
1
(
x
)
=
x
9
+
2
9
I need help with this question please
Answer:
I) 23
K) 96
J) 77
Step-by-step explanation:
All angles of a triangle equal up to 180
6x+4x-3+x+7=180
11x+4=180
11x=176
x=16
solve the inequality: |6w+2|-6>8
Answer:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEStep-by-step explanation:
The solution is given
[tex] |6x + 2| - 6 > 8[/tex]
[tex] |6x + 2| > 8 + 6[/tex]
[tex] |6x + 2| > 14[/tex]
Now wit will be swprated into two parts
First part
[tex]6x + 2 > 14 [/tex]
[tex]6x > 14 - 2[/tex]
[tex]x > 12 \div 6[/tex]
[tex]x > 8[/tex]
The second part is
[tex]6x + 2 > - 14[/tex]
[tex]6x > - 14 - 2[/tex]
[tex]x > - 16 \div 6[/tex]
This question has two answers
6-16/6A farmer who only sells produce to local residents in his town wishes to expand to a neighboring city. The farmer calls everyone in the phone book with a last name starting with "S" in the neighboring city and asks them if they would be interested in buying the produce. 242 told the farmer that they would be interested, 576 said they would not be interested and 138 refused to answer. Which statement is true?
The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.
The population of the survey is the 242 that said they would be interested.
The population of the survey is all residents of the neighboring city whose phone number is listed.
The survey sample includes current customers.
Answer:
The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.
Step-by-step explanation:
that one makes the most sense
Which is an equivalent form of the expression 1800(1.2)-¹?
1800
(2)
0 1800(3)
1800
မြို့)'
1800 (7)
Answer:
Option B will be the correct option.
Step-by-step explanation:
The given expression is
We can rewrite the term as
[As we know ]
Now we will simplify the expression
=
=
Therefore, Option B will be the correct option.