Answer: i
Step-by-step explanation:
[tex]\sqrt{-1} =i[/tex]
A cylindrical swimming pool is approximately 12 feet wide and 4 feet deep. About how many gallons of water can the swimming pool contain? Remember that 1 cubic foot is approximately 7.48 gallons.
Answer:
Step-by-step explanation:
Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as
Volume = πr²h
Where
r represents radius of the cylinder
h represents height
π = constant = 3.14
From the information given,
Diameter = 12 feet
Radius, r = diameter/2 = 12/2 = 6 feet
h = 4 feet
Volume = 3.14 × 6² × 4 = 452.16ft³
Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is
452.16 × 7.48 = 3382.16 gallons
Which algebraic expression is equivalent to this expression?
5(3x+2)+18
Answer:
15x+28
Step-by-step explanation:
15x+10+18
15x+28
I etavidewifdwcvefoewf
I’m not sure what that meant.
Answer:
cool
Step-by-step explanation:
A submarine travels 19 miles in 1/2 hour. Write an equation to find out how long it would take the submarine to travel 57 miles at the same rate. Then find the time.
Answer:
1.5 hours
Step-by-step explanation:
We can write a ratio to solve
19 miles 57 miles
-------------- = --------------
.5 hours x hours
Using cross products
19x = 57*.5
19x =28.5
Divide each side by 19
19x/19 = 28.5/19
x =1.5
1.5 hours
I put the wrong answer don’t mind me
What is the value of the expression (–5) -3 but the -3 is an exponent.
Answer:
Answer: -0.008
Step-by-step explanation:
Hope this helped!
Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both stations spot a fire. The bearing of the fire from station A is Upper N 35 degrees E and the bearing of the fire from station B is N 30 degrees W. How far, to the nearest tenth of a mile, is the fire from each lookout station?
The fire is a distance of 9.33 miles from Station A and 4.67 miles from Station B.
Let's denote the distance of the fire from station A as "x" and the distance of the fire from station B as "y".
From station A, the bearing of the fire is N 35° E. This means that if we draw a line connecting station A and the fire, the angle between this line and the north direction is 35°.
Similarly, from station B, the bearing of the fire is N 30° W. This means that the angle between the line connecting station B and the fire and the north direction is 30°.
Now, let's construct a triangle with vertices at Station A, station B, and the fire. The line connecting station A and station B represents the base of the triangle, and the lines connecting station A and the fire and station B and the fire represent the two sides of the triangle.
Since the triangle is isosceles (both sides are equal), the angles opposite the two sides will also be equal.
Let's denote the angle opposite side x as α and the angle opposite side y as β.
From the given bearings, we can determine the values of α and β:
α = 180° - 35° = 145°
β = 180° - 30° = 150°
Now, using the Law of Sines, we can set up the following ratios:
sin(α) / x = sin(β) / y
Solving for y, we get:
y = (sin(β) / sin(α)) * x
Substituting the known values, we have:
y = (sin(150°) / sin(145°)) * x
Using a calculator, we can evaluate the sin(150°) and sin(145°) to get:
y = (0.5 / 0.996) * x
y = 0.501 * x
Since the two stations are 14 miles apart, we know that x + y = 14.
Substituting the value of y from the previous equation, we have:
x + 0.501 * x = 14
1.501 * x = 14
x = 14 / 1.501
x ≈ 9.33
Now, to find the value of y, we can substitute the value of x into the equation:
y = 0.501 * x
y = 0.501 * 9.33
y ≈ 4.67
Therefore, the fire is 9.33 miles from Station A and 4.67 miles from Station B.
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The fire is approximately 38.7 miles away from station A and 38.4 miles away from station B.
To solve this problem, we can use trigonometry and create a diagram to visualize the situation.
Now, let's label the diagram. We'll use the following labels:
A: Fire-lookout station A
B: Fire-lookout station B
F: Fire's location
Next, we need to determine the angles and distances involved. From the problem statement, we know the bearing of the fire from station A is N 35° E, and the bearing of the fire from station B is N 30° W. Let's mark these angles on the diagram.
To find the distance of the fire from each station, we can consider the angles formed between the stations and the fire. The sum of these angles should be 180° since we have a straight line. Let's find the missing angles by subtracting the given angles from 180°.
For station A:
Angle A = 180° - 35° = 145°
For station B:
Angle B = 180° - 30° = 150°
Now, let's draw lines from each station to the fire, and label the distances as dA and dB.
We can use trigonometry (specifically, the tangent function) to find the distances dA and dB. Tangent of an angle is equal to the opposite side divided by the adjacent side.
For station A:
tan(145°) = opposite side (dA) / adjacent side (14 miles)
dA = 14 * tan(145°)
For station B:
tan(150°) = opposite side (dB) / adjacent side (14 miles)
dB = 14 * tan(150°)
Now, let's calculate these distances using a calculator.
dA = 14 * tan(145°) ≈ 38.7 miles
dB = 14 * tan(150°) ≈ 38.4 miles
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Divide x³+x²+x+1 by x+1
Answer:
x^2+1
Step-by-step explanation:
x^3+x^2+x+1 / x+1
=(x+1)(x^2+1) / x+1
reduce (x+1) and x+1 and you will get x^2+1
What is the y intercept of y= -3x
A (-3,0)
B ( -3,-3)
C (0,0)
D (0, -3)
Please answer ASAP
Answer:
(0,0)
Step-by-step explanation:
y= -3x
The y intercept is the y value when x =0
Let x =0
y = -3(0)
y = 0
(0,0)
Answer:
C.
Step-by-step explanation:
You can either graph this function to find the y-intercept or set x =0 and solve for y.
Grace hit 12 balls in the batting cage out of 20 pitches. Tomorrow she is going to go to the same batting cage and get 30 pitches.
Use experimental probability to predict how many of the 30 pitches she will hit.
Answer:
she is expected to hit 18 out of the 30 pitches
Step-by-step explanation:
In this question, we are required to use experimental probability to make a prediction.
From the hits she has today, we can estimate the number of hits she might be getting tomorrow.
Since she made 12 hits out of 20 today, the probability that she has a hit will be 12/20 = 3/5
Now if she is having 30 pitches tomorrow, the expected number of hits would be the probability of getting a hit multiplied by the total number of pitches.
That would be 3/5 * 30 = 18 pitches
Brian invests £2300 into his bank account. He receives 10% per year simple interest. How much will Brian have after 2 years?
Answer:
im pretty sure $460 idk
Step-by-step explanation:
Find an interest by using the formula
I=P⋅i⋅t
, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years. In this
P = $2300, i = 10% and t = 2 years,
What is the measure of STR
Answer:
Str (Texture aspect ratio) Str is a measure of uniformity of the surface texture
Step-by-step explanation:
Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?
Answer:
Step-by-step explanation:
Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons
Answer: 5
Step-by-step explanation:
3+2=5
A triangle has sides with lengths of 8 centimeters, 14 centimeters, and 16 centimeters. Is it a right triangle?
Answer:
No, the triangle is not a right triangle
Step-by-step explanation:
In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.
To answer this question, we need to take into consideration a very important property of right angle triangles.
The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides
The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.
Now let’s have the squares!
The square of the hypotenuse is 16 * 16 = 256
Let’s sum the squares of the other two sides;
(8 * 8) + ( 14 * 14) = 64 + 196 = 260
These squares are not equal so we can conclude that the triangle is not a right triangle
Question 11 (1 point)
Identify the literary device being used - "It's so delightful to be home with a sick child twice in one week."
Blank 1:
Answer:
no clue bud
Step-by-step explanation:
there are 18 blueberries in a bowl .there are 3 times as many blueberries as strawberries in the bowl.how many strawberries are in the bowl?
Answer:
6
Step-by-step explanation:
Number of blueberries = 18
Number of strawberries = 3 times less than blueberries
Number of strawberries
18/3 = 6Answer: 6 strawberries
In a school, 25 % of the teachers teach basic math. If there are 50 basic math teachers, how many teachers are there in the
school?
Answer:
200 teachers
Step-by-step explanation:
Let t= teachers
t * 25% = basic math teachers
t *.25 = 50
Divide each side by .25
.25t/.25 = 50/.25
t =200
Answer:
200
Step-by-step explanation:
The 50 basic math teachers are 25% of all the teachers of the school.
You can use a proportion.
50 is to 25% as x is to 100%
50/25 = x/100
10/5 = x/100
5x = 100 * 10
5x = 1000
x = 200
There are 200 teachers.
HELP ASAP PLEASE! EVERY ANSWER IS APPRECIATED! THANK YOU!
Answer:
74°
Step-by-step explanation:
The blue angle and the red angle are supplementary angles (meaning they add up to 180°) because these two lines are parallel. Therefore, 106° + ? = 180°, and the red angle is 74°. Hope this helps!
Answer:
71° will be your answer
Pedro has determined that the probability his shot will score in a lacrosse game is 0.30. What is the probability that he will score on two consecutive shots? 0.09 0.15 0.30 0.60 Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets? 1 2 3 4
Answer:
a) 0.09
b) 2 ways
Step-by-step explanation:
a) Probability Pedro's shot will score will be given as) :
P(score) = 0.30
The probability he will score in 2 consecutive shots will be calculated as:
P(score) * P(score)
= 0.30 * 0.30
= 0.09
Therefore, probability he will score in 2 consecutive shots is 0.09
b) Jillian has 3 bracelets: X, Y, & Z as a gift. If bracelet Y is chosen first, the number of ways Jillian can give out the bracelets since bracelet Y is chosen first, she will have 2 bracelets remaining. So, number of ways to distribute these 2 bracelets are :
= 2!
= 2 * 1
= 2
Which could be in this order:
YXZ or YZX
Therefore, the number of ways if Y is chosen first is = 2 ways
Answer: A. 0.09
Just took test.
I NEED HELP NOW PLZ. What is the mean of the data set?
17, 24, 25, 13
Answer:
19.75
Step-by-step explanation:
U add the, all up then divide by 4
Answer:
19.75
Step-by-step explanation:
17+24+25+13= 79
79/4= 19.75
The perimeter of quadrilateral ABCD is 640. The perimeter of quadrilateral LMNO is 144. What is LM
Answer:
LM = 36
Step-by-step explanation:
A quadrilateral is a shape with 4sides. There are different type of quadrilateral such as square, rectangle, trapezium, parallelogram, kite and rhombus.
Perimeter of a quadrilateral is the addition of all 4 sides.
Since the shape is not specified neither is there a diagram, let's assume the quadrilateral is a square.
See attachment for diagram used in solving the question.
Perimeter of square = length+ length+ length+ length
= 4× length
Perimeter of quadrilateral ABCD:
640 = 4×length
Length = 640/4
Length = 160
Perimeter of quadrilateral LMNO:
144 = addition of all 4 lengths
144 = LM + MN + NO +OL
Since we are considering a square all the sides are equal.
LM = MN = NO = OL
144 = 4×LM
LM = 144/4
LM = 36
2.25x = 1.5x + 6
What is the value of x
Answer:
x=8
Step-by-step explanation:
2.25x=1.5x+6
-1.5x -1.5x
0.75x=6
3/4x=6
x=6*4/3
x=24/3
x=8
Answer:
8
Step-by-step explanation:
Look at the attachment
Can you help me find x?
Answer:
Im 99 percent sure its b or c
Step-by-step explanation:
but wait for the other kid to answer
Solve the following system of equations.Express your answer as an ordered pair in the format (a,b),with no spaces between the number or symbols 3x+4y=16 -4x-3y=-19
Answer:
(4,1)
Step-by-step explanation:
3x + 4y = 16
-4x - 3y = -19
4( 3x + 4y = 16)
3( -4x - 3y = -19)
Distribute
12x + 16y = 64
-12x - 9y = -57
Now subtract both equations
7y = 7
/7 on both sides
y = 1
Substitute y = 1 in one of the equations.
3x + 4y = 16
3x + 4(1) = 16
-4 on both sides
3x = 12
/3 on both sides
x = 4
Answer:
x = 4
y = 1
Question 11 point(s) Jared made Ask Your Teacher cups of snack mix for a party. His guests ate Ask Your Teacher of the mix. How much snack mix did his guests eat?
Answer:
[tex]8\frac{1}{2}[/tex] cups
Step-by-step explanation:
To determine the quantity of snack mix Jared guest ate, we multiply the quantity of snack mix the guest ate by the quantity of snack mix Jared made. i.e we determine [tex]\frac{2}{3}of12\frac{3}{4}[/tex] by multiplying both fractions together
quantity of snack mix Jared guest ate = [tex]\frac{2}{3}of12\frac{3}{4}=\frac{2}{3}*12\frac{3}{4}=\frac{2}{3}*\frac{51}{4}=\frac{17}{2} =8\frac{1}{2}[/tex]
Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?
Answer:
Step-by-step explanation:
im confuesd here
The table lists the government ministers of the legendary kingdom of Neverland.
Nqverland.
Sum
Can the government offices be represented as a function of the ministers' names?
please help me i Just need 2 more to finish please
Answer:
No
Step-by-step explanation:
You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.
No, the government offices can not be represented as a function of the ministers' names.
What is a function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Given that, names of offices and their presidents,
Since,
You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.
Hence, the government offices can not be represented as a function of the ministers' names.
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what is the slope of the line from the table below hour: 1, 2, 4, 8 distance: 50, 100, 200, 400
Answer:
50
Step-by-step explanation:
The slope is change in y divided by the change in x
Change in distance / change in hour
m = (400-200)/(8-4)
= 200/4
= 50
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Answer:
D.
Step-by-step explanation:
So find what two numbers multiply to 72 and add up to 17
9 and 8
(z + 9)(z + 8)
Answer:
D. (z + 9)(z + 8)
Step-by-step explanation:
Let's factor z2+17z+72
z2+17z+72
The middle number is 17 and the last number is 72.
Factoring means we want something like
(z+_)(z+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 17
Multiply together to get 72
Can you think of the two numbers?
Try 8 and 9:
8+9 = 17
8*9 = 72
Fill in the blanks in
(z+_)(z+_)
with 8 and 9 to get...
so (z + 9)(z + 8)
A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER.
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
C. Exponential decay
Step-by-step explanation:
