9514 1404 393
Answer:
x = -6 (correct answer)
mistakes were made in Step 2 and Step 5.
Step-by-step explanation:
The mistake is made in Step 2, application of the distributive property. This is often a source of error. Here, the error is in signs.
Step 1: 12 = -2(x -4) -8
Step 2: 12 = -2x +8 -8 . . . . . . the correct step 2
Step 3: 12 = -2x . . . . . . . . . . . like terms combined
Step 4: -6 = x . . . . . . . . . . . . . divide by -2
__
Check
12 = -2(-6 -4) -8 = -2(-10) -8 = 20 -8 = 12 . . . . answer checks OK
__
Comment on other mistake
In the original Step 5, -2 was divided on the right and added on the left. This is a violation of the properties of equality, so guarantees a wrong answer. The same operation must be performed on both sides of the equation.
An additional mistake was made in that the answer was not checked.
Two golf balls are hit into the air at 80 feet per second (60 mi/hr), making angles of 31 degrees and 49 degrees with the horizontal. If the ground is level, estimate the horizontal distance traveled by each golf ball.
9514 1404 393
Answer:
177 ft at 31°198 ft at 49°Step-by-step explanation:
The vertical height as a function of time for some initial velocity v and some launch angle α is ...
h = (-16t +v·sin(α))t
This will be zero (the ball hits the ground) at ...
t = v·sin(α)/16
__
The horizontal distance as a function of time is then ...
x = v ·cos(α)t
Where t is given from the height equation, the horizontal distance to the point where the ball hits the ground is ...
x = v·cos(α)·v·sin(α)/16 = v²·sin(2α)/32
For an angle of 31°, the ball will travel ...
(80 ft/s)²·sin(62°)/(32 ft/s²) = (200 ft)·sin(62°) ≈ 176.6 ft . . . at 31° angle
For an angle of 49°, the ball will travel ...
(200 ft)·sin(98°) ≈ 198.1 ft . . . at 49° angle
Please help with this, I don't know if 10 points are enough.
Answer:
x = 65
Step-by-step explanation:
all angles in a triangle add up to 180 degrees
therefore, knowing that we can say that 25 + 25 = 50 degrees.
we then minus 50 from 180 (180-50=130) to find the remaining angle
we then say that 2x = 130
and solve for x i.e. 130/2 = 65
therefore x is 65
I know this one is hard but its hard for me. PLEASE HELPP
Answer:
G. <3 and <5 hope this helps
Answer:
G
Step-by-step explanation:
Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?
Answer:
= 40.5π square inches
Step-by-step explanation:
Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?
The formula for the surface Area of a cylinder = 2πr( r + h)
r = 1.5 inches
h = 12 inches
Hence,
2 × π × 1.5( 1.5 + 12)
3π(13.5)
= 40.5π square inches
The surface area of the cylinder is
= 40.5π square inches
Please help with 6-12
Answer:
6-12=-6
Step-by-step explanation:
Its pretty obvious
Show the work please help me
If a/2 = b/3, then b/a = ?
A. 3/2
B. 2/3
Is chef is going to use a mixture of two brands of Italian dressing the first brand contains 9% vinegar and the second one contains 12% vinegar the chef wants to make 240 mL of dressing that is 11% vinegar how much of each where should she use
Answer:
80 of vinegar
160 of dressing
Explanation is below.
Hope this helps :)
Explain how to solve 2x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.
Answer:
2x 2 x 2 x 2= 8 + 1 = 9?
Step-by-step explanation:
The solution of the equation 2x + 1 = 9 will be 4.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The equation is given below.
2x + 1 = 9
Simplify the equation, then we have
2x + 1 = 1
2x = 9 - 1
2x = 8
x = 8 / 2
x = 4
The solution of the equation 2x + 1 = 9 will be 4.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Carlos has four notes in his wallet: $5, $10, $20, and $50. He takes out two notes at random.
There are six possible pairs of notes. List them.
b Find the probability that:
i. one of the notes is $5 ii. the total value of the notes is more than $50.
Answer:
5 and 10
5 and 20
5 and 50
10 and 20
10 and 50
20 and 50
1/4 for 5$
1/4 for 50$
Answer choices:
AB
EF
KL
RS
PLEASEE HELP MEE FASTT
Answer:
RS
Step-by-step explanation:
Is -16 rational or irrational
Answer:
irrational number
Step-by-step explanation:
All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. The number 22/7 is a irrational number.
Find the perimeter of the figure.
Step-by-step explanation:
12 times 4 + 12 + 48
Answer:
Not sure but giving it a try.
the perimeter of a circle is its circumference. C=2pir
2×3.142×6=38cm
the perimeter of one triangle is 13cm+5cm+12cm. how did i get 5?
22-12=10,
10÷2=5.
13cm+5cm+12cm= 30.
count that as two, 30+30=60.
perimeter of square= length × 4 = 12×4 = 48
Total : 38cm+60cm+48 = 146cm?
Question 14 (4 points)
M M
(8x + 18)
L
(20x
+4)*
(6x + 4)º
What is mZKLM?
F 3
H 42
G 22
J 644
Answer:
oi bom fia lindinha a resposta em total 1k4
The relationship between the time since Captain Summers became a ship captain and his total number of hours at sea can be modeled by the equation y = 800x + 2200, where x is the time since he became a ship captain in years and y is his total number of hours at sea. How many hours at sea did Captain Summers have when he first became a ship captain?
Answer:
2200
Step-by-step explanation:
please help The perimeter of a rectangular shape electronic keyboard is 14 ft. Its width is 3 ft longer than its depth
!. How wide and deep is the keyboard
2. what is the area of the keyboard
Answer:
Width = 6ft Area = 54 sq ft
Step-by-step explanation:
First, re-read the problem until you understand it and can put it into your own words. I re-wrote it like this: "Find the area of a rectangle by first finding the length (L) and the width (W)." [note that I added "find L and W," but that is how I'm going to solve the problem; I could also have said that we will need the formulas, P=2L+2W and A=LW, but you knew that already, right?).
Translate the problem:
"The length of a rectangle is 3 ft longer than its width" means
L = 3 + W (eq1)
"the perimeter of the rectangle is 30 ft" means
P = 30 (eq2)
So, now the math is easy, just find L and W so we can compute the area:
P = 30 = 2L + 2W (eq3; from eq2 and the formula for P)
30 = 2(3+W) + 2W (use eq1 to substitute for L)
30 = 6 + 2W + 2W (distribute)
30 = 6 + 4W (collect terms)
24 = 4W (subtract 6 from both sides)
6 ft = W (divide both sides by 4)
Use the easiest equation (either eq1 or else eq3) to find L:
L = 3 + W (eq1)
L = 3 + 6
L = 9 ft
What is the area (A)?
A = L*W
A = (9 ft)*(6 ft)
A = 54 sq ft
ally and sophie are sharing cookies in a ratio of 5:2, ally has 15 more than sophie. How many sweets does sophie have?
The perimeter of a rectangle is 72 m. The width of the rectangle is 16 m. What is the area of the rectangle?
Answer:
320m
Step-by-step explanation
a rectangle has four sides, two pairs of identical sides. So two sides are 16. So that adds up to 32. Perimeter is all sides added together. so it has to add up to 72. 72 minus 32 is 40, so two of the sides have to be 40. Area is length times width, so 16 times 20, which is 320.
174 + 10x = 102 + 10x - 6x
Step-by-step explanation:
174 + 10x = 102 + 10x - 6x
174 - 102 = 10x - 6x -10x
72 = - 6x
- x = 72/6
- x = 12
x = -12
Can someone please help me with this, find the unit rate cost per item which is these chips set up the equation and show the work the answer should be price per chips I’ll mark brainliest please yall
Answer:$3
Step-by-step explanation:
You always divide y by x. In this case 6/2 when you set up a chart. When you do this you get $3 unit rate.
1 (unit rate) 2
___________=_____
x (unit rate price) 6
Use cross products
1(6)=x(2)
6=2x
_____
2 2
x=3
Answer:
3
Step-by-step explanation:
Attached below .. i hope this is wht u were expecting!!
Which graph represents a function?
Answer:
D
Step-by-step explanation:
A function is where each input (here, the input is x) corresponds to exactly one output (here, the output is y). In other words, if a function is graphed, we should be able to draw a vertical line through every single part of it that will intersect it at only one place.
Let's examine each choice.
(A) Well, if we draw a vertical line through the graph, it will obviously intersect the entire line - which is an infinite number of intersections, so this is not a function.
(B) If we draw a vertical line through the portion of the graph that lies near the positive x-axis, we note that it will intersect twice, so this is not a function.
(C) If we strategically draw a vertical line through the y-axis, we see it will intersect two times, so this is not a function.
(D) We can draw a vertical line through any portion of this graph and know that it will only intersect once.
Therefore, the answer is D.
Answer:
D
Step-by-step explanation:
give person above brainliest
have a good one!
PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST TO WHOEVER GETS THIS RIGHT
Answer:
FGJ +JGH=90
25+x. =90
x. =90-25
x. =65°
Answer:
65
Step-by-step explanation:
Hey There!
Those are a pair of complementary angles meaning that they will add up to equal 90
so to find x we subtract the given angle from 90
90-25=65
therefore x=65
Jamie is not sure exactly what career to pursue but when she learned about the Human Services cluster, something spoke to her. Which types of career pathways are available to Jamie? Pick a career from each path and explain what it involves and where she might work if she had that job.
The careers in the human services cluster include:
Agriculture, and Natural Resources.Architecture and Construction. Communications.Business, Management, and Administration.Education and TrainingHow to illustrate the information?Human needs are met through activities such as counseling and mental health services, family and community services, personal care, and consumer services in the Human Services career cluster.
Career clusters are groups of jobs that are similar in nature. They make it simple to investigate many types of occupations under a single broad category. Begin by learning about one of the clusters, such as health care or construction, to understand about what it entails, current trends, and the various careers it offers.
Learn more about human services on:
https://brainly.com/question/10161271
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can yall help my friend plzz asapp I'll give u Brainliest if u answer and answer correct!!!!
Jason says that if you multiply each length in a Pythagorean triple by the same factor, you will get another Pythagorean triple. Explain why Jason is correct.
Answer:
You know that the Pythagorean Theorem can be used to solve for unknown lengths in a right triangle. ... The Pythagorean. Theorem states that, if a triangle is a right triangle, then the square ... Given a Pythagorean triple, you can identify other right triangles by multiplying each side length by the same factor
Step-by-step explanation:
I know this isn't a 100 percent correct or sufficient answer but I'm taking a test and only have five minutes left.
Hope I could help even a bit.
I need help like really bad.!
Answer:
C
Step-by-step explanation:
A's equation would be 60+6
B's equation would be 60-6
C's equation would be 60/6
Answer:
c
Step-by-step explanation:
the first one would be 60+6, and the second would be 60-6.
24 = 3 (b+1) plz help
Answer:
b= 7
Step-by-step explanation:
24= 3b + 3
24-3 = 3b
21= 3b
21/3 = b
7 = b
Sketch the graph of y = 5 cos 4x - 3, for -90°< x< 90°
Answer:
Step-by-step eFor problems 5-9 compute the difference quotient of the given function. ... (90F16x9= 5 6+714x-1 8-3(x2-2X+; ... 4. 8(x)=4(x-3)* +21 *= 4(y-795121 g'x)= x2! +3. 5. W (x)=19–1lx x= 29. ligy W6w) ... Ź : 5 2 2 2 2 2. 2. sin( 1 ) sep. (cos, sin). (6) tan a c : a = 2 b = 1/2. 4.co(1). Х ... Sketch the graphs of each of the following functions.
xplanation:
Find the Perimeter of the figure below, composed of a parallelogram and two
semicircles. Round to the nearest tenths place.
15
12
Answer:
91.68
Step-by-step explanation:
first u find the perimeter of the inner shape...
15+15+12+12=54
than u find the circumstances of the two circles than dividing it is half since it is half a circle
c=2×pi×r
c=2×3.14×6
c=37.68
than add them together
37.68+54= 91.68
What is 56(cos(33) + i sin(33)) = 7(cos(11°) + i sin(11°))?
O 8(cos(30) + i sin(3))
49(cos(30) + i sin(30))
8(cos(22) + i sin(22°))
O 49(cos(22) + i sin(22'))
Answer:
Step-by-step explanation:
56(cos(33) + i sin(33)) = 7(cos(11°) + i sin(11°))
Divide both sides by 7 to get;
8(cos(33) + i sin(33)) = (cos(11°) + i sin(11°))
Expanding and Rearranging gives;
8cos(33) + 8i sin(33)) - cos(11) - isin(11)
This gives ;
8Cos(22) + 8i sin(22) = 8(Cos(22) + I sin(22)
Solve for x please and thank you.
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
See https://brainly.com/question/22237817 for a complete explanation.