Answer:
The square root of -64 is 8i
Step-by-step explanation:
Given the number -64
we have to find the square root of the above number i.e [tex]\sqrt{-64}[/tex]
As
[tex]\sqrt{-64}=\sqrt{-8\times 8}[/tex]
[tex]=\sqrt{-(8)^2}[/tex]
[tex]=\sqrt{(-1)(8)^2}[/tex]
[tex]=\sqrt{-1}\sqrt{8^2}=8i[/tex]
Hence, the square root of -64 is 8i
A salesperson at a furniture store earns a 3% commission on all sales. How much commission does the salesperson earn on a $1400 sale?
What is .66667 as fraction
The decimal .66667 is approximately equivalent to the fraction 2/3. It is understood by recognizing that fractions are essentially divisions, and .66667 is the result of 2 divided by 3.
Explanation:The decimal value of .66667 can be expressed as a fraction. In this case, .66667 is approximately equal to 2/3. To derive this, understand that fractions are a division operation. The decimal .66667 is a result of division where the numerator is smaller than the denominator, which is a characteristic of fractions between 0 and 1. So, if you divide 2 by 3, you will get 0.66667 proving that .66667 is a representation of the fraction 2/3.
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Sam is five years old his older brother tom is three times as old is sam when salmon is 20 how old will tom be
at a particular college 2/5 of the students take a math class. Of these students 1/4 take basic algebra. WHat fraction of the students take basic algebra. Please show your steps.
Solve for x.
25/60 = 30/x
25
36
50
72
Answer:
d
Step-by-step explanation:
Is the term (x + 2) a factor of the polynomial shown below?
ƒ(x)=x^4+5x^3+10x^2+20x+24
A. Yes, the remainder is 48.
B. Yes, the remainder is 0. ...?
Doomtown is 300 miles due west of Sagebrush and Joshua is due west of Doomtown. At 9 a.m. Mr. Archer leaves Sagebrush for Joshua. At 1 p.m. Mr. Sassoon leaves Doomtown for Joshua. If Mr. Archer travels at an average speed 20 mph faster than Mr. Sassoon and they each reach Joshua at 4 p.m., how fast is each traveling?
Mr. Archer was going at a speed of approximately 67 mph and Mr. Sassoon was going at a speed of 47 mph (rounded to the nearest whole number).
Explanation:This problem is a typical distance-rate-time problem. Firstly, we can infer based on the travel times for Mr. Archer and Mr. Sassoon that Mr. Archer traveled for 7 hours (from 9 am to 4 pm) and Mr. Sassoon traveled for 3 hours (from 1 pm to 4 pm) to reach Joshua.
Equalizing the distance travelled by both individuals, we have: its clear that 20 mph * 7 hours = Mr. Sassoon's speed * 3 hours. From this, we can easily infer that Mr. Sassoon's speed is [tex]20*7/3 = 46.67[/tex] mph
Since Mr. Archer travelled 20 mph faster than Mr.Sassoon, Mr.Archer's speed was [tex]46.67 + 20 = 66.67[/tex] mph. Therefore, Mr. Archer was going at a speed of approximately 67 mph and Mr. Sassoon was going at a speed of 47 mph (rounded to the nearest whole number).
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"An air traffic controller observes two airplanes approaching the airport. The displacement from the control tower to plane 1 is given by the vector A⃗ , which has a magnitude of 220 km and points in a direction 32 ∘ north of west. The displacement from the control tower to plane 2 is given by the vector B⃗ , which has a magnitude of 140 km and points 65 ∘ east of north.
Sketch the vectors A⃗ , B⃗ , and D⃗ =A⃗ −B⃗ . Notice that D⃗ is the displacement from plane 2 to plane 1. Draw the vectors with their tails at the dot. The orientation of your vectors will be graded. The exact length of you"
Sketch vectors A and B based on their descriptions. To find D = A - B, make B go in the opposite direction (namely, -B), put it tip to tail with A, and then vector D is from tail of A to tip of -B.
Explanation:To answer this, we need to sketch the two vectors - vector A which represents the displacement of plane 1 from the control tower, and vector B which represents the displacement of plane 2 from the control tower. Vector A has a magnitude of 220 km and points 32 degrees north of west. This can be sketched as a line of certain length angling upwards from directly west. Vector B is 140 km in magnitude and angles 65 degrees east of north, thus it can be drawn shorter than Vector A and leaning more towards east from north.
Vector D = A - B is the displacement from plane 2 to plane 1. It represents the direction you would need to go if you were at plane 2 and wanted to get directly to plane 1. To find D, rearrange the equation to D = A + (-B). -B is just the B vector in the opposite direction. After making the B vector go in the opposite direction, place it tip to tail with A and the result from tail of A to tip of -B is vector D. Hence, the vectors would be sketched with their tails at the same point and their heads indicating the direction they point towards.
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A discount period is always greater than the credit period true or false ...?
the diameter of a cone-shaped container is 4 inches, and its height is 6 inches .How much grater is the volume of a cylinder-shaped container with the same diameter and height?
Answer:The radius r used in below equations would equal 2in because it is half the given diameter of 4in.
The volume of the cone would be
The volume of a cylinder with the same dimensions would be
The cylinder is 24 - 8 = 16 cubic inches greater.
Step-by-step explanation:
Xavier watched 3/5 of a movie. The entire length of the movie is 2 1/2 hours long. How much of the movie did he watch?
A:1 1/4 hours
B:1 1/2 hours
C:2 1/3 hours
Is the ordered pair a solution to the system of linear equations?
Select Yes or No.
Yes No
Ordered pair: (−2,2)(−2,2)
System of equations:
−7x+2y=0
6x+6y=0
How do i do this problem x-2y=1,for y?
Valeriya wants to determine the likely voting outcome for the new town council election. Which sample is likely to yield the most biased results?
A. every tenth person working for the largest corporation in town
B. ten people chosen at random from each page of the town’s phone list
C. every tenth person walking down Main Street in town on a variety of days and times of the day
D. ten eligible voters chosen at random from each of the different neighborhoods in town
Answer:
A. Every tenth person working for the largest corporation in town
Step-by-step explanation:
We are given that,
'Valeriya wants to determine the likely voting outcome for the new town council election'.
It is required to find the most biased outcome.
Now, from the options, we see that,
'Every tenth person working for the largest corporation in town'.
will yield the most biased result, as the people working in the largest corporation may have different opinions and benefits.
So, it is most likely that the voting result for this sample may result in the outcome beneficial to only the people working in the large corporations and not for others.
Thus, sample A will yield a most biased result.
A rectangle's width is 6 feet less than its length. If the area of the rectangle is 247 square feet, what is its length, in feet?
Answer:
Length is 19 feet.
Width is 13 feet.
Step-by-step explanation:
Let the length of the rectangle be = L feet
The width is 6 feet less than its length, so width is = L-6 feet
The area of the rectangle is 247 square feet, means length x width = 247
[tex]L(L-6)=247[/tex]
[tex]L^{2} -6L=247[/tex]
[tex]L^{2} -6L-247=0[/tex]
Now here a = 1, b = -6 and c = -247
So, putting these in quadratic equation formula, we get
[tex]L=\frac{-(-6)+\sqrt{(-6)^{2}-(4)*(1)*(-247) } }{2*1}[/tex]
This gives L=19 or -13
As it is a dimension, so we will neglect the negative value.
Hence, L = 19 feet
Width = [tex]19-6[/tex] = 13 feet
1.An object falls from rest on a high tower and takes 5.0 s to hit the ground. Calculate the object’s position from the top of the tower at 1.0 s intervals. Make a position-time graph for the object’s motion. In your response, show what you are given, the equation that you used, any algebra required, a table of data, and your graph.
g = 9.8 m/s2
Answer:
Position of ball from top of tower after 1 second is 4.9 m
Position of ball: [tex]y=-4.9t^2+122.5[/tex]
Step-by-step explanation:
An object falls from rest on a high tower and takes 5.0 s to hit the ground.
Initial speed, u = 0Height of tower, [tex]h_0[/tex]Acceleration due to gravity, [tex]g=9.8\ m/s^2[/tex]Let position of object from top of tower be y
Using formula, v =u - gt
[tex]v=0-9.8\times 5[/tex]
[tex]v=49\ m/s[/tex]
Speed of object when hit the ground.
Height of tower, H₀
[tex]H_0=\dfrac{49^2-0}{2\times 9.8}=122.5\ m[/tex]
Velocity of ball after 1 s
[tex]v=0-9.8\times 1[/tex]
[tex]v=-9.8\ m/s[/tex]
Using formula, [tex]s=\dfrac{v^2-u^2}{2g}[/tex]
[tex]y=\dfrac{9.8^2-0^2}{2\times 9.8}[/tex]
[tex]y=4.9\ m[/tex] From top of tower
Now find position of ball from top of tower.
[tex]y=-\dfrac{1}{2}\times 9.8\times t^2+122.5[/tex]
[tex]y=-4.9t^2+122.5[/tex]
Please find the attachment for graph.
A bank account has a beginning balance of $560.00. After 6 months, the balance in the account has increased to $572.60. What interest rate is being earned annually on this account?
The lengths of plate glass parts are measured to the nearest 1/10 mm. The lengths are discretely and uniformly distributed with values at every 1/10th mm, starting at 590.0 thru 590.9 mm. Determine the mean & variance of lengths.
2/5, 9/10, 7/5, 19/10, 12/5
Find the common difference between the terms of the following arithmetic sequence. ...?
How many zeros does the function f(x) = 2x14 − 14x6 + 27x3 − 13x + 12 have?
Please answer !!!the system of equations graphed below has how many solutions ?
A. infinitely many
B. 1
C. 0
D.2
convert the fractions to decimals.
3/20
7/50
9/25
4/15
1/9
9/40
5/16
7/9
13/20
37/50
11/30
19/40
Which is the correct description of the transformation of figure QRST to figure QꞌRꞌSꞌTꞌ?
A. a 90° counterclockwise rotation around point R of pre-image QRST
B. a 180° clockwise rotation around point R of pre-image QRST
C. a 90° clockwise rotation around point R of pre-image QRST
D. a reflection across point R of pre-image
Answer:
D. a reflection across point R of pre-image
Step-by-step explanation:
Considering this question is over 4 years old I highly doubt you're going to see this question, or maybe you're not even in school anymore. Even after all that being said, I'm still going to ask this:
May I have brainliest please? :)
What is equivalent to 4/16 as a whole number?
how many times is 2 bigger than 0.2
An Airplane travels about 1500km in a straight line between Toronto and Winnipeg . However, the plane must climb to 10 000 m during the first 200km. Then it must descend 10 000 m during the final 300km
1. How much Distance do the climb and desent add to the flight? ...?
Answer:
Climbing and descending add to the flight 416 m
Step-by-step explanation:
The plane must climb to 10 km during the first 200 km. This forms a right triangle, where 10 and 200 are its legs and the hypotenuse is the distance travelled by the airplane. From Pythagorean theorem, that distance is:
√(10² + 200²)
The plane must descend 10 km during the final 300km. This forms a right triangle, where 10 and 300 are its legs and the hypotenuse is the distance travelled by the airplane. From Pythagorean theorem, that distance is:
√(10² + 300²)
If the airplane climbed during 300 km and descended during 200 km, then during 1500 - 200 - 300 = 1000 km it doesn't climb or descend.
The distance added by climbing and descending is:
1000 + √(10² + 200²) + √(10² + 300²) - 1500 = 0.416 km or 416 m
What number divide evenly into 125 ?
Students spend an average of $5.50 to buy materials for science olympiad if they each build three mouse trap cars what was the unit cost per car
The correct unit cost per car is $1.83.
To find the unit cost per car, we need to divide the total cost by the number of cars built. Since each student builds three mouse trap cars and spends an average of $5.50, the total cost for one student is $5.50.
Let's denote the unit cost per car as [tex]\( C \)[/tex]. The equation representing the total cost for one student is:
[tex]\[ 3C = \$5.50 \][/tex]
Now, we solve for [tex]\( C \)[/tex] to find the unit cost per car:
[tex]\[ C = \frac{$5.50}{3} \][/tex]
[tex]\[ C = $1.8333... \][/tex]
Rounding to two decimal places, the unit cost per car is approximately $1.83.
Grammy's Apple Orchard is selling apple cider in 34.7 ounce bottles for $2.09. Grammys competitor is selling 24.6 ounce bottles of cider for $1.99. Who is selling at the lower price?
A convenience store sells 1/3 pound of one brand of trail mix for $1.50 and 1/2 pound of another brand of trail mix for $2.15. which brand has a lower price per pound? explain your reasoning.