Answer:
x = −4 and x = 4
Step-by-step explanation:
if you do divide its all the opposite 8÷64=8 4×2=8 8×32=4 or 8÷-2=-4
Can you help me with the top question please I’ll give brainliest
Answer:
C
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
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 box of apples has a mass of 6.2 kilograms. How many grams is equivalent to 6.2 kilograms?
A student incorrectly determined that the length of DE is 29 cm explaining that 12-7 = 5 and 36-7 = 29 explain what mistake the student may have made and why this is not correct way to determine the length of a DE what is the actual length of DE
Answer:
The length of the hypotenuse ≈ 39.7 cm
Explanation:
Since the given triangle is a right-angled triangle, this means that we can apply the Pythagorean theorem.
The equation for Pythagorean calculation is:
(hypotenuse)² = (first leg)² + (second leg)²
In the given, we have:
first leg = 30 cm
second leg = 26 cm
Substitute with the givens in the above equation to get the hypotenuse as follows:
(hypotenuse)² = (30)² + (26)²
(hypotenuse)² = 1576
This means that:
either hypotenuse = √1576 = 39.69 ≈ 39.7 cm ..........> accepted
or hypotenuse = -√1576 = -39.69 ......> rejected as length can't be negative
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
Can someone explain why this equation equals 2?
Answer:
bc it dose
Step-by-step explanation:
Find the domain and range.
Answer:
Domain is all real #s
Range is (-∞, 4] or y < 4
Step-by-step explanation:
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
6-16/6Find 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
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 5 child bikes and 15 adult bikes in a week. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
C
Step-by-step explanation:
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:
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
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 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
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:
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
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.
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
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
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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
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.
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
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
A customer spent no more than $500 for a television
and a mounting kit. The customer expected to pay a
minimum of $300 for the television but actually paid
at least $75 more than that. What is the maximum
amount, in dollars, the customer could have spent for
the mounting kit after purchasing the television?
(Disregard the $ sign when gridding your answer.
The maximum amount, in dollars, the customer could have spent for the mounting kit after purchasing the television is $125.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the customer spend $x on television, and $y on mounting kit.
x + y = 500
x = 300 + 75 = 375
y = 500 - 375 = $125
Thus, the maximum amount, in dollars, the customer could have spent for the mounting kit after purchasing the television is $125.
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Mrs. Reynolds has $153. She buys a bicycle for $105.
Then, she finds $20 at the bottom of her purse.
How much money does she have now? Use the bar diagrams to help you.
Step 1:
Step 1: a bar diagram shows 105 and m, the money left after buying a bike. Together 105 and m are equal to 153.
Step 2:
Step 2: a bar diagram shows that 20 and m is equal to s, the money now.
Enter your answer in the box.
Mrs. Reynolds has $
now.
The total amounts of money which Mrs. Reynolds now has according to the descriptions in the task content is; $68.
How much does Mrs. Reynolds have now?It follows from the task content that;
Together 105 and m are equal to 153.20 and m is equal to s.On this note;
105 + m = 153m = 153 -105 = 48Hence, it follows that the amount of money, s she has now is;
s = 48 + 20 = $68Read more on addition and subtraction;
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Need some help please
A 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
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
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