answer
the first complex number a = 8 + 2i
second complex number b = -4 - 6i
real part of the midpoint:
(8 - 4) : 2 = 2
imaginary part of the midpoint:
(2 - 6) : 2 = -2
the midpoint between a and b = 2 - 2i
A 2-gallon container of disinfectant costs $20.48. What is the price per cup?
Answer:
$0.64 per cup
Step-by-step explanation:
There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:
1 gallon: 16 cups
2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups
So we need to find the price of each cup:
1 cup = ($20.48 / 32 cups) = $0.64 per cup.
Out of 85 adults selected randomly from one town, 63 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance.
a) find sample proportion P with hat on top.
b) use z subscript alpha divided by 2 end subscript equals 1.645 space spaceto find margin of Error for 90% confidence interval.
c) Find the confidence interval.
d) Interpret your interval
show work. round all numbers to at least 3 decimal places. you don't need to explain in words where you get the numbers(unless it is easier for you than writing in math notations). you can only write in math notations.it should be clear which function you are using.(normalcdf, invnorm. invt,..)
Answer:
oh shi sorry I wish I could help but I'm stupid
ILL GIVE BRAINLIEST!! PLS HELP!!! Ten students are taking both algebra and drafting. There are 24 students taking algebra. There are 11 students who are taking drafting only. How many students are taking algebra or drafting but not both?
Step-by-step explanation:
24-11=13
help me please the drop down menu is the same for top and bottom i’m lost:(
Answer:
1) No solution
2) Infinitely many solutions
Step-by-step explanation:
1) No solution
0=2 is false.
2) Infinitely many solutions
2=2 is true because both sides are equal, hence, it is an infinite solution.
Hope this helps :)
Norris Company uses the perpetual inventory system and had the following purchases and sales during March.
Using the inventory and sales data above, calculate the value assigned to cost of goods sold in March and to the ending inventory at March 31 using FIFO and LIFO
FIFO
Cost of goods sold: $____
Ending inventory: $____
LIFO
Cost of goods sold: $____
Ending inventory: $____
FIFO - March cost of goods sold = $13,050. March 31 inventory = $7,350. LIFO - March cost of goods sold = $14,600. March 31 inventory = $5,800.
To calculate March cost of goods sold we need to add the given data for FIFO =
March cost of goods sold
= (2,800 + 3,700 + 6,550)
= 13,050
To calculate March cost of goods sold we need to add the given data for LIFO =
March cost of goods sold
= (3,400 + 4,400 + 6,800)
= 5,800
Sales data refers to the information collected and recorded about the transactions that occur when a business sells products or services to customers. This data typically includes details such as the date and time of the sale, the products or services sold, the quantity sold, the price paid, and the customer's information. Sales data is crucial for businesses as it helps them understand their sales performance, identify trends and patterns and make informed decisions about their pricing, marketing and inventory management strategies.
To learn more about data click here
brainly.com/question/29122373
#SPJ1
Choose all degrees of rotation that will carry the regular pentagon onto itself.
A. 72°
B. 90°
C. 108°
D. 144°
E. 216°
Answer:
A. 72°
D. 144°
E. 216°
Step-by-step explanation:
I just answered this.
in short : we rotate each vertex on a circle arc. the center of that circle being P.
so, at the end of every 1/5 of the circle arc there is a vertex of the polygon.
therefore, with every 1/5 of a full circle rotation we move the pentagon visually onto itself.
that is starting at
360/5 = 72°
and then every additional 72°
144°
216°
288°
360°
so, A, D and E are correct
When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
9,16,23,...
Find the 46th term.
The 46th term of the sequence is 324.
We have,
To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.
Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference
of 7.
To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:
a(n) = a(1) + (n - 1) d
where a(1) is the first term, d is the common difference, and n is the term number we want to find.
Using the given information, we have:
a(1) = 9
d = 7
n = 46
Plugging these values into the formula, we get:
a (46) = 9 + (46 - 1)7
a (46) = 9 + 45 (7)
a(46) = 9 + 315
a(46) = 324
Therefore,
The 46th term of the sequence is 324.
Learn more about arithmetic sequence here:
https://brainly.com/question/10396151
#SPJ1
OK NOW CAN SOME ANSWER IT
Answer:
25 coin tosses is the ans
Answer: 25 coin tosses
Step-by-step explanation: hope this helps!
60 % of 48 find the percent of a quantity using fraction
Answer: 28.8
Step-by-step explanation:
60% as a fraction = 6/10 = 3/5 when you simplify it.
Then, we can calculate 48 *3/5
= 28.8
An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
For such more questions on velocity
https://brainly.com/question/25749514
#SPJ8
What percent of 28 is 77?
Answer:
36.3636364%
or 36.36
Step-by-step explanation:
What is 4 & 1/2+1/8? *
Answer:
4 5/8
Step-by-step explanation:
Rewriting our equation with parts separated
=4+12+18
Solving the fraction parts
12+18=?
Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.
LCD = 8
48+18=58
Combining the whole and fraction parts
4+58=458
a. Will he be able to make a right triangle with his fence? Why or why not?
Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Dimensions of triangle he has to use for fencing are
15 feet, 8 feet, and 20 feet.
For making it a right triangle it must satisfy the "Pythagoras theorem" which states that
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
H²=B²+P²
20²=15²+18²
400=225+64
400≠289
No, it will not be able to make a right triangle.
Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ9
The complete question is given below:
Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.
1. Will he be able to make a right triangle out of his fence? Why or why not?
Rewrite 81 as a power of 3.
Answer:
3^4
Step-by-step explanation:
81 =
Break into factors
9*9 =
3*3 *3*3
Rewrite as exponent
= 3^4
Rewrite the equation d=r.t to solve for r:
Given the expression:
\(d=r\cdot t\)to solve for r, we have to move its factor to the other side doing the opposite operation. In this case we have that t is multiplying r, so the t is going to pass to the other side dividing d, so we get the following:
\(\begin{gathered} d=r\cdot t \\ \Rightarrow r=\frac{d}{t} \end{gathered}\)therefore, the equation to solve for r is r=d/t
5634 ÷ 18 and show work
Answer:
313
Step-by-step explanation:
Hope this helps! Pls give brainliest!
what are the solutions of the inequality? graph and check the solutions.
Answer:
Option 3: \( x \ge 8 \)
Graph C
Step-by-step explanation:
Find the solution of \( -\frac{x}{4} \le 2 \)
\( -\frac{x}{4} \le 2 \)
\( -x \le 8 \)(multiplication property of equality)
Divide both sides by -1. Since we are dividing by a negative number, the sign would change
\( x \ge 8 \)
This means that the possible values of x are 8 and any number above 8.
Graphing this, the arrow of directed line would start at 8 and move towards our right hand.
Thus, the graph would be graph C in option C.
Solve the equation using the distributive property and properties of equality.
1/2(x+6) = 18
What is the value of x?
O 6
O7 1/2
O 14 1/2
0 30
Answer:
x = 30
Step-by-step explanation:
1/2(x+6) = 18
Expand brackets or use distributive law.
1/2(x) + 1/2(6) = 18
1/2x + 6/2 = 18
1/2x + 3 = 18
Subtract 3 on both sides.
1/2x + 3 - 3 = 18 - 3
1/2x = 15
Multiply both sides by 2.
(2)1/2x = (2)15
x = 30
Answer:
30
Step-by-step explanation:
Number 4 on 5.5 6th grade
Answer:
Sayyy "Gold Diggerrrrrrr"Step-by-step explanation:
Girl: "what I am not a freakin gold diggerrr I just like moneyyy"
Girl: "what I am not a freakin gold diggerrr I just like moneyyy" Hooman: Say "ChEeZe"
Girl: "what I am not a freakin gold diggerrr I just like moneyyy" Hooman: Say "ChEeZe" Girl: dances on lambo showing too much..
Girl: "what I am not a freakin gold diggerrr I just like moneyyy" Hooman: Say "ChEeZe" Girl: dances on lambo showing too much.. Hooman: Good Good You're a perfect picture of a gold digger.
Girl: "what I am not a freakin gold diggerrr I just like moneyyy" Hooman: Say "ChEeZe" Girl: dances on lambo showing too much.. Hooman: Good Good You're a perfect picture of a gold digger. Girl: "my outfit matches your carr"
Girl: "what I am not a freakin gold diggerrr I just like moneyyy" Hooman: Say "ChEeZe" Girl: dances on lambo showing too much.. Hooman: Good Good You're a perfect picture of a gold digger. Girl: "my outfit matches your carr"Hooman: it does
Girl: "what I am not a freakin gold diggerrr I just like moneyyy" Hooman: Say "ChEeZe" Girl: dances on lambo showing too much.. Hooman: Good Good You're a perfect picture of a gold digger. Girl: "my outfit matches your carr"Hooman: it doesHooman: too bad you're a gold digger and digging to much for gold.
A gardener uses a roller to flatten a bowling green of length 29 m. The roller has a diameter of 1.3 m. The gardener says the roller makes 8 full turns in travelling the length of the green. Is the gardener correct? Explain your answer.
The gardner is correct Because the total distance traveled by the roller is greater than the length of the bowling green.
What is a diameter?A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
For the gardener to be correct,
8×Perimeter of the roller = Length of the bowling green
Therefore,
8πd = 29 (for the gardener to be correct)Let use first find the perimeter of the roller
P = πd....... Equation 1Where:
P = Perimeterd = diameter of the roller = 1.3 mSubstitute these values into equation 1
P = 1.3×22/7P = 4.09For 8 full rotation,
8×4.09 = 32.72 mComparing the distance for 8 revolution of the roller with the length of the bowling green,
The total distance traveled by the roller is greater than the length of the bowling green.Therefore, the gardner is correct
Learn more about diameter here: https://brainly.com/question/23220731
#SPJ1
Use the graph to find the distance between point A and Point E.
Answer:
7
Step-by-step explanation:
3x+8= what's the answer tell me NOW
Answer:
x or +?
Step-by-step explanation:
if are x are 24
i hope i helped you
16 ??
What is the additive inverse of
OA 16 17
OB. -16
JIOT
Oc. -16
A
OD.
-16
Find the length of the arc. Round answer to nearest tenth show work pls no.2
Using the length of the arc formula we get the arc's length to be 57.33rad.
Define length of an arc?The following formulas can be used to determine a circle's arc length: Arc Length = r, where r is the radius of the circle and is the central angle that the arc subtends.
When is expressed in radians, this formula is employed. Arc Length is equal to (/180) r, where r is the radius of the circle and is the central angle that the arc subtends.
In the question,
Radius of the circle = 11ft.
Angle created by the arc = 300°.
We need the length of the arc.
Length of the arc = S= 2πr×(θ/360) °
S = 2 × 3.14 × 11 × 300/360
= 57.33 rad
To know more about length of arc, visit:
https://brainly.com/question/16403495
#SPJ1
The measure of the third angle in an isosceles triangle is 61.5 more than the measure of either of the two equal angles. Find the measure of the third angle.
Answer:
Let's consider
equal angles in isosceles triangle = x
third angle = x+61.5
Addition of internal angle of Triangle = 180
2 equal angle + third angle = 180
x + x +x+61.5 =180
3x +61.5 =180
3x = 118.5
x = 39.5
so measure of equal angles = 39.5
and third angle = x+ 61.5 = 39.5 +61.5 =101
Step-by-step explanation:
Answer:
101°
Step-by-step explanation:
let the angles be x,x,x+61.5
then x+x+x+61.5=180
3x=180-61.5=118.5
x=118.5/3=39.5
so third angle=39.5+61.5=101°
Evan collected 45 trading cards. Jessica collected 3 times as many trading cards as Evan. How many trading cards did Jessica collect?
Answer: Jessica collected 135 trading cards.
Step-by-step explanation:
you just multiply 45 by 3 to get 135
A triangle is rotated 90° about the origin. Which rule describes the transformation?
O(,y) - (x, y)
(x,y) - (y,x)
(x,y) - (y; -)
O(x, y) - (y;-)
Answer:
(x, y) - (y, -x)
Step-by-step explanation:
Rotation is a process in which the orientation of a given figure is changed by turning it about a point called origin. The rotation can be done either clock-wisely or counterclockwise about the origin.
If the given triangle is rotated \(90^{0}\) clockwise, the rule that describe the transformation is; (x, y) - (y, -x)
If the given triangle is rotated \(90^{0}\) counterclockwise, the rule that describe the transformation is; (x, y) - (-y, x)
In the given question, the required rule is; (x, y) - (y, -x). This shows a clockwise rotation of \(90^{0}\) about the origin.
PLS HELP !!!
Fiona spent 50 minutes to complete her homework. She spent 30 minutes on her
math assignment and 20 minutes on her science assignment. What fraction of time
did Fiona spend on her math assignment??
Answer:
3/5 of her time
Step-by-step explanation:
She spent 30 minutes out of 50 minutes on her math assignment. So, we can write this fraction:
30 minutes / 50 minutes
Divide both the numerator (top of the fraction) and denominator (bottom of the fraction) by 10 minutes to get
3 / 5
So, the answer is 3/5 of her time.
The table summarizes results from pedestrian deaths that were caused by automobile accidents.Pedestrian DeathsDriver Pedestrian Intoxicated?Intoxicated?YesNoYes5474No288568If one of the pedestrian deaths is randomly selected, find the probability that the driver was notintoxicated.Probability =(Please enter a decimal rounded to 4 decimal places.)CalculatorScratchwork Area
Add the numbers in each row to find the total amount of pedestrian deaths when the driver was intoxicated or not, regardless of the state of the pedestrian:
Driver intoxicated:
\(54+74=128\)Driver not intoxicated:
\(288+568=856\)Add both totals to find the total amount of pedestrian deaths:
\(128+856=984\)To find the probability that the driver was not intoxicated, divide the total amout of not-intoxicated driver pedestrian deaths over the total amoun of pedestrian deaths:
\(\frac{856}{984}=0.8699\ldots\text{.}\)Therefore, if a dead pedestrian is randomly selected, the probability that the driver was not intoxicated is:
\(0.8699\)