Answer:
4(1.25) = if it’s only one month then it’s 5 miles
Step-by-step explanation:
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Solve for x/3= −9
SHOW WORK
Answer:
x =-27
Step-by-step explanation:
X/3= -9
or,X=-9×3(cross multiplication)
or, X=-27
Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?
|w| = 9.4; θ = 72.9°
|w| = 9.4; θ = 107.1°
|w| = 14.2; θ = 72.9°
|w| = 14.2; θ = 107.1°
Recall that for two vector x and y making an angle θ with each,
x • y = ||x|| ||y|| cos(θ)
If we replace y with x, we see that
x • x = ||x|| ||x|| cos(0) = ||x||² ⇒ ||x|| = √(x • x)
Using the last identity, the magnitude of w is
||w|| = √(w • w)
but since w = u + v, we have
w • w = (u + v) • (u + v)
The dot product distributes over sums and is commutative, so
w • w = (u • u) + (u • v) + (v • u) + (v • v)
… = ||u||² + 2 (u • v) + ||v||²
… = ||u||² + 2 ||u|| ||v|| cos(θ) + ||v||²
If u has a direction of 45° with the positive x-axis, v has a direction of 150°, then the angle between u and v is |45° - 150°| = 105°. So,
||w|| = √(||u||² + 2 ||u|| ||v|| cos(150°) + ||v||²)
… = √(10² + 2 • 10 • 13 cos(150°) + 13²)
… ≈ 14.2
Using the parallelogram rule for vector addition (see attached sketch), the sum of the angle between w and u and 45° is equal to the direction of w.
If φ is the angle between w and u, then
w • u = ||w|| ||u|| cos(φ)
… = 14.2 • 10 • cos(φ)
but we also have
w • u = (u + v) • u
… = (u • u) + (v • u)
… = ||u||² + ||u|| ||v|| cos(105°)
… = 10² + 10 • 13 • cos(105°)
… ≈ 66.4
Then
14.2 • 10 • cos(φ) ≈ 66.4
cos(φ) ≈ 0.467
φ ≈ 62.1°
and so the direction of w is 62.1° + 45° ≈ 107.1°.
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Each consecutive element of the series has one less blue points than the before element, with that, we conclude that the correct option is D, where there is only one blue point.
Which of the following is most likely the next step in the series?
Here we can see a series of 3 elements.
the first element is a circle with 4 blue points on its circumference, such that the points are connected to form a rectangle.
The next element is a circle with 3 blue points on it, such that when the points are connected a triangle is formed.
The third element is a circle, this time with 2 points, and the connection forms a segment.
So what we can see is that in each consecutive element the number of blue points on the circumference of the circles decreases by one, so the logical conclusion is that the next element will have only one point on its perimeter, then the correct option is D, where we can see only one blue point on the perimeter of the circle.
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Kevin and Randy Muise have a jar containing 80 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $11.80. How many of each type of coin do they have?
Answer:
39 quarters and 41 nickelsStep-by-step explanation:
Let the number of quarters be x and nickels be y.
Given:
Quarter is 25 centsNickel is 5 centsNumber of coins is 80Total amount is $11.80 = 1180 centsWe have equations:
x + y = 8025x + 5y = 1180Solve the system by elimination, subtract 5 times the first equation from the second one:
25x + 5y - 5x - 5y = 1180 - 80*520x = 780x = 780/20x = 39Find the value of y:
39 + y = 80y = 80 - 39y = 41Verify:
25*39 + 5*41 = 975 + 205 = 1180a dogs hair grew 2 1/2 inches in 12 1/2weeks how long will the hair grow in 1 week?
Answer:
0.2 inches
Step-by-step explanation:
12.5 weeks = 2.5 inches
1 week = p inches
Cross multiply
12.5p = 2.5
Divide both sides by 12.5
p = 2.5 / 12.5
p = 0.2 inches
Hence, the length grown in 1 week is 0.2 inches
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What is the value of (-2.8)+0+(-2.6)+6.4
It is the policy of stores owned by the Talkara Co. to give out bonuses to salespeople every six months. The size of the bonus is determined by averaging (taking the mean of) the two highest and the lowest monthly sales totals from the six-month period, taking 8% of the result, and splitting it evenly among the salespeople. The graph below shows sales for the most recent bonus period.If there are six salespeople, how much money will each one receive, to the nearest dollar? a. $243 b. $309 c. $324 d. $355
Answer:
c. $324
Step-by-step explanation:
The solution is,
A) 83/400= 0,2075
B) 100/400=0,25
C) 42/400= 0,105
D) 42/100= 0,42
E) The special training program was effective.
What is division?Division can be stated as the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Explanation:
Total population= 400 salespeople
Received a bonus last year= 83 salespeople
Attended a special sales training program= 100 salespeople
Both attended sales training and received a bonus= 42 salespeople
a) You need to calculate the number of salespeople that receive a bonus over total population
83/400= 0,2075 The proportion of salespeople that receive a bonus is 0,2075
b) You need to calculate the number of salespeople that attended a special program over total population
100/400= 0,25 The proportion of salespeople that attended a special program is 0,35
c) 42/400= 0,105 The proportion of salespeople that receive a bonus and attended a special program is 0,105
d) You need to calculate the proportion of people that having attended received a bonus.
42/100= 0,42 The proportion of salespeople that receive a bonus having attended a special program is 0,42
e) The special training program was effective. The proportion of people that receive a bonus over the total population that didn't attend the program (41/300=0,14) is inferior to the proportion of salespeople that attend the program and receive a bonus. Meaning that there are more chances of receiving a bonus taking a training program.
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Complete question:
A company employs 400 salespeople. Of these, 83 received a bonus last year, 100 attended a special sales training program at the beginning of last year, and 42 both attended the special sales training program and received a bonus. (Note: the bonus was based totally on sales performance.) a) What proportion of the 400 salespeople received a bonus last year? b) What proportion of the 400 salespeople attended the special sales training program at the beginning of last year? c) What proportion of the 400 salespeople both attended the special sales training program and received a bonus? d) What proportion of the salespeople who attended the special sales training program received a bonus? e) Based on your answers to parts a and d, does the special sales training program seem to have been effective? Explain your answer.
Given the function f(x)=X^2- 3x, find f(-4)
PLEASE HELP ASAP mark brainlist
Answer:
whats the question, tell me it and i'll help you
Step-by-step explanation:
i need help with this
Answer:
Yes Jeff is the correct answer
Step-by-step explanation:
help with this please
Write and solve an absolute value inequality.
18. Students are guessing the number of jelly beans in a jar. Each student who guesses
within 15 of the correct amount will win a prize. The correct amount of jelly beans in the
jar is 389. Write and solve an absolute value inequality to represent this situation.
Express your solution as a compound inequality.
Compound inequalities are used to combine several inequalities
The solution as a compound inequality is [tex]374<x <404[/tex]
Assume the correct amount of jelly beans in the jar is x.
15 away from x can be represented as 15 - x or x - 15
The correct number of jelly beans is given as 389.
So, when the statement is represented as an absolute inequality, we have:
[tex]|x - 15| < 389[/tex]
Express as compound inequality:
[tex]389 - 15<x <389 + 15[/tex]
Evaluate like terms
[tex]374<x <404[/tex]
Hence, the solution as a compound inequality is [tex]374<x <404[/tex]
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Sammy's Chipmunk & Squirrel Observations
For a science project, Sammy observed a chipmunk and a squirrel stashing
acorns in holes. The chipmunk hid 3 acorns in each of the holes it dug. The
squirrel hid 4 acorns in each of the holes it dug. They each hid the same number
of acorns, although the squirrel needed 4 fewer holes. How many acorns did the
chipmunk hide?
Answer:12 accorns
Step-by-step explanation:
If they each hid the same number of acorns, although the squirrel needed 4 fewer holes, the chipmunk hid 3 acorns in each hole
Let's assume the number of holes the chipmunk dug is 'c', and the number of acorns it hid in each hole is 'x'. Similarly, let's assume the number of holes the squirrel dug is 's', and the number of acorns it hid in each hole is 'y'.
According to the information provided, the chipmunk hid 3 acorns in each of the holes it dug, so x = 3. The squirrel hid 4 acorns in each of the holes it dug, so y = 4.
Both the chipmunk and squirrel hid the same number of acorns, so cx = sy.
Also, the squirrel needed 4 fewer holes, so s = c - 4.
Now, we can use the information to set up a system of equations:
cx = sy
c - 4 = s
Substitute the value of s from the second equation into the first equation:
c(c - 4) = 3(c - 4)
Expand the equation:
c² - 4c = 3c - 12
Now, bring all terms to one side of the equation:
c² - 4c - 3c + 12 = 0
Combine like terms:
c² - 7c + 12 = 0
Now, factor the quadratic equation:
(c - 3)(c - 4) = 0
Now, set each factor to zero and solve for 'c':
c - 3 = 0 => c = 3
c - 4 = 0 => c = 4
Since the chipmunk hid 3 acorns in each hole, the correct answer is The chipmunk hid 3 acorns.
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Your class is having a pizza party. You buy 5 pizzas Each pizz has 4 slices. How many slices is that altogether?
Answer:
20
Step-by-step explanation:
5 x 4 = 20
Answer: 20 slices of pizza
Step-by-step explanation:
you multiply 5 times 4
F(x)=2x^2+7 what is the value f(-2)
Answer:
f(x)=2(x+7/4)^2-49/8
Step-by-step explanation:
How much momentum does a 50 kg mass moving west at 10 m/s have?
Answer:
(a) 500 kg·m/s west
Step-by-step explanation:
Momentum is the product of mass and velocity.
p = mv
p = (50 kg)(10 m/2 west)
p = 500 kg·m/s west
What is the slope of the line that passes through the points (4,1) and (6, 2)?
Answer:
1-2
Step-by-step explanation:
honestly idek what this stuff is I just need points
The ratio of the measures of the sides of a triangle is 5:7:8. Find the measures of each angle in the triangle.
Answer:
45°, 63°, 72°
Step-by-step explanation:
The sum of ratio units is 5+7+8=20, so each stands for 180°/20 = 9° of angle. Multiplying the ratio values by 9° gives the angle values:
45° : 63° : 72°
HELPPPPPPPPPPPPPPPPPPPPP
Answer: b
Step-by-step explanation: graph b is correct hope it helps
14. What's the least common denominator of 3/4, 4/5, and 2/3?
A. 60
B. 20
C. 15
D. 12
work out the volume of the cone giving your answer to 3 significant figures 7cm 24cm 25cm
Answer:
1230
Step-by-step explanation:
[tex]\frac{\pi }{3}[/tex] x 49 x 24 = 1230 cm^3
what's 298,987 divided by 98?
Answer: 3050.8877551
Step-by-step explanation:
HELP!!!! PLEASE NO LINK SCAM THO
Which graph shows all natural numbers less than 3?
OA)
-4 -3 -2 -1
+
4
o
1
2
3
+
+
OB) -4 -3 -2 -1
+
2 3
o
1
4
+
+
OC) -4 -3 -2 -1
+ +
2 3 4
o
1
OD)
-4 -3 -2 -1
+ +
+
0 1 2 3 4
Answer: C
Step-by-step explanation:
Answer:
The Answer Is B
Step-by-step explanation:
It cost Joseph $21.90 to send 146 text messages. How many text messages did he send if he spent $6.45?
Answer:
43 messages
Step-by-step explanation:
Given:
146 messages = $21.90
x messages = $6.45
Finding x by cross-multiplication:
x = 146*6.45/21.90 = 43
Hope this helps! :)
To convert from Standard Form to Slope-Intercept Form the strategy is to solve for which variable?
b
m
y
x
Answer: y
Step-by-step explanation:
Slope intercept form is written as
Y=mx+b, so you’d solve for the variable y
Help help help help math
Answer:
10.
Step-by-step explanation:
X is often associated with the value of "independent variable"
y=20-2(5)
y=20-10
y=10
(dy)/(dx) = (x ^ 2)/(1 + y)
Which equation best matches the graph shown below?
Answer:
B
Step-by-step explanation:
because it is actually move to right
Answer:
y= -3(x+1)(x+3)
Step-by-step explanation:
the lowest coordinate of it is -3 and the x-coordinates are 1 and 3
What functions have a range of {y £ R | -
Answer:
the second and the fourth have a range of real no
Find the slope of
(7,-12) (1,3)
it's not -2/5 or 2/5 or 15/6
literally, if you solve this for me my depression will be no more
its been 3 days OF THIS ONE QUESTION
please, and thank you
Answer:
(8,-9)
Step-by-step explanation:
using the principle of vectors, you match each number to their coordinates and add them
so we have (7+1,-12+3)
which is equal to (8,-9)
Answer:
5/2
Step-by-step explanation:
Formula: y2-y1/x2-x1
Labeled:
(1,3)
1 = x2
3 = y2
(7,-12)
7= x1
-12 = x1
In order:
3+12 / 1-7
=15/6
which is simplified to 5/2
so when trying to find the slope of two points you want to use a certent formula which is y2 minus y1 over x2 minus x1 and if the x1 or y1 is negative it will be plus.
first you need to label them and then put them in the order you labeled them to the formula. After subtract or add and if you can simplify it then simplified it to get your answer.
this is the best way I can explain it, sorry
:(