Answers
Answer:
E. 2i√5
Step-by-step explanation:
√-20 = (√-1)(√20) = i·(2√5) = 2i√5
Related Questions
Tony is building a dog house, and the front view of the roof is shown below
Answers
Answer:
The height is 21 inches.
Step-by-step explanation:
We can find the height by using Pythagoras theorem.
As we know it is an isosceles triangle. So, the base can be divided equally in 2 parts for both triangles.
So, we can take the hypotenuse as 29 inches and base as 20 inches.
Now applying Pythagoras theorem, we get;
[tex]29^{2} =20^{2} +x^{2}[/tex]
[tex]841=400+x^{2}[/tex]
=>[tex]841-400=x^{2}[/tex]
=>[tex]x^{2} =441[/tex]
[tex]x=\sqrt{441}[/tex]
x=[tex]\sqrt{3*7*3*7}[/tex]
=> [tex]x=21[/tex]
Hence, the height is 21 inches.
1. You are visiting Baltimore, MD and a taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile.
A. Write an equation that you could use to find the cost of the taxi ride in Baltimore, MD. Let x represent the number of. miles and y represent the total cost.
B. How much would a taxi ride for 8 miles cost?
C. If a taxi ride cost $15, how many miles did the taxi travel?
Answers
B) $9.00
C) 16 miles
hope that helps
Answers to all parts are as follows -
The equation to find the cost will be y(x) = 0.75x + 3 For 8 miles of travel, the total cost would be $9.For a total fare of $15, we can ride for 16 miles.What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile.
PART - A
Assume that [x] represent the number of miles and [y] represent the total cost. Therefore, the equation that you could use to find the cost of the taxi ride in Baltimore can be written as-
y(x) = 0.75x + 3
or
y(x) = 3x/4 + 3
PART - B
For [x] = 8 miles, the total cost will be -
y(8) = (3 x 8)/4 + 3
y(8) = 6 + 3
y(8) = 9
For 8 miles of travel, the total cost would be $9.
PART - C
For a total fare of $15 -
15 = 3x/4 + 3
12 = 3x/4
x = (12 x 4)/3
x = 16
For a total fare of $15, we can ride for 16 miles.
Therefore -
The equation to find the cost will be y(x) = 0.75x + 3 For 8 miles of travel, the total cost would be $9.For a total fare of $15, we can ride for 16 miles.To solve more questions on equation modelling, visit the link below-
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(Will give Brainliest/5 stars for correct answer)
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
B = 46°, a = 12, b = 11
A) A = 38.3°, C = 95.7°, c = 8; A = 141.7°, C = 84.3°, c = 8
B) A = 51.7°, C = 82.3°, c = 8; A = 128.3°, C = 5.7°, c = 8
C) A = 38.3°, C = 95.7°, c = 15.2; A = 141.7°, C = 84.3°, c = 15.2
D) A = 51.7°, C = 82.3°, c = 15.2; A = 128.3°, C = 5.7°, c = 1.5
Answers
The part of interest is the law of sines tells you
.. A = arcsin((12/11)*sin(46°)) = 51.7° . . . or . . . 180°-51.7° = 128.3°
.. c = 11*sin(82.3°)/sin(46°) ≈ 15.2 . . . or . . . sin(5.7°)/sin(46°) ≈ 1.5
Selection D is appropriate.
The equation of straight lines L1 And L2 are .....
see the photo
Answers
First, we know that a possible equation of L2 is y=1, then c=-1 => -y=-1 or y=1.
Of course, c could be just any negative number so that L2 lies above the x-axis.
=> c<0 ..........................................(III) is true
Next, we note that L1 has a negative intercept, that meant that when x=0, y<0. Go back to the original equation
ax+by=-1 => when x=0, by=-1, so b>0 in order for y to be negative. So
b>0.
We already know that c<0, so
b>c .....................................................................(II) is true
Further, we note that L2 has a negative slope. From the definition of slope, m, where m=-a/b
=>
m=-a/b<0 => a/b>0.
We already know that b>0, so for a/b>0, a>0. Therefore
a>0 ...................................................................(I) is true
So we have established the truth values of (I), (II) and (III).
It will be up to you to select the answer choices.
Do check and understand all the arguments. If in doubt, please post your queries.
37.5 x 10 to the negative 6 in scientific notation?
Answers
Find the value of z such that 0.96420.9642 of the area lies between −z−z and z. round your answer to two decimal places.
Answers
P(z)-P(-z)=0.9642=1-2P(-z) => P(-z)=(1-0.9642)/2=0.0179
=>
-z=-2.099192
=> z=2.099192
Check:
P(2.099192)-P(-2.099192)=0.9642 ok
Final answer:
The value of z where 0.9642 of the area lies between -z and z is found by looking up the area 0.4821 (half of 0.9642) in a Z-table or using the invNorm function with 0.4821 on a normal distribution calculator. This will provide the z-score to be rounded to two decimal places.
Explanation:
You are looking for the value of z such that 0.9642 of the area under the normal distribution curve lies between −z and z. To find this, you'll need to use the properties of the standard normal distribution, commonly represented by a Z-table.
For a symmetrical distribution, half of the area you are interested in would be to the left of 0 and half to the right. Since 0.9642 is the total area between −z and z, we need to find the z-score that corresponds to half of this area from the mean to one end. Specifically, you're looking for the z-score where the area to the left is 0.4821 (0.9642 divided by 2).
Using a Z-table or an inverse normal function on a calculator, you can find the z-score that corresponds to an area of 0.4821. If you're using a Z-table, look up the closest area in the body of the table and find the corresponding Z-score. If you're calculating it (such as with the invNorm function on a calculator like the TI-83 or 84), input the left-tail area. The answer should be rounded to two decimal places.
The calculation would be something similar to invNorm(0.4821, 0, 1), where 0 and 1 are the mean and standard deviation of the standard normal distribution, respectively.
If z represents the variable of the standard normal distribution curve N(0,1), which is symmetrical about z=0, then we look for
P(z)-P(-z)=0.9642=1-2P(-z) => P(-z)=(1-0.9642)/2=0.0179
=>
-z=-2.099192
=> z=2.099192
Check:
P(2.099192)-P(-2.099192)=0.9642
Please the question is on the picture
Halves of the following
12
10
13
15
8
5
Answers
Half of 12 is ____
is a different question than
12 is ____ halves
When you say, "Halves of 12, 10, ..." it looks like you're asking the first version.
One of something is 2 halves. That is, the number of halves is exactly two times the number of "somethings." Hopefully, you can multiply each of these numbers by 2.
12*2 = 24
10*2 = 10
13*2 = 26
15*2 = 30
8*2 = 16
5*2 = 10
What is the period of the function y = 3 csc x?
Answers
The period of the function is 2π.
What is period of the function?The time interval between two waves is known as a Period whereas a function that repeats its values at regular intervals or periods is known as a Periodic Function.
Given:
y = 3 csc x
As, csc(x) carry the reciprocal identity of sin(x).
So, they both have the same period
The period of sin(x) is 2π.
Hence, the period of csc(x) is 2π.
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Find the length of the chord of a circle of radius 100 feet subtended by an angle of 75◦ ?
Answers
Chord lenght=2rSin(A/2)
2. Let's convert the angle from degrees to radians:
75°π/180°=5π/12
3. So, you have:
r: It is the radius of the circle (r=100 feet).
Sin: It is the sine function.
A: It is the angle subtended at the center by the chord (A=5π/12).
4. When you substitute these values into the formula (Chord lenght=2rSin(A/2)), you obtain the chord lenght:
Chord lenght=2rSin(A/2)
Chord lenght=2(200 feet)(Sin(5π/12/2))
5. Therefore lenght of the chord is:
Chord lenght=18.2706 feet
You run around the perimeter of a baseball field at a rate of at least 11 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field?
Answers
perimeter of the baseball field=2(radius)+lenght of a semicircle.
2(radius)=2(175 ft)=350 ftlenght of a semicircle=40% of a circumference=(40/100)(2πr)
Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)==350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,
2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.
10 ft------------------------1 second789,82 ft----------------- x
x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s
Answer: 79 seconds.
PLEASE MARK ME AS THE BRAINLEIST
The correct answer for your question is 79 seconds.
A pack of six cans of coffee cost 12$ . How much would 15 cans of coffee cost
Answers
The cost for 15 cans of coffee is found by first determining the cost per single can, which is $2, and then multiplying this cost by the number of cans, resulting in a total of $30 for 15 cans.
To calculate the cost of 15 cans of coffee when a pack of six cans costs $12, we first need to find the cost of a single can. To do this, we divide the cost of the pack by the number of cans in the pack:
Cost per can = Total cost of the pack / Number of cans in the pack
Cost per can = $12 / 6 = $2
Now that we know the cost of one can, we can calculate the cost for 15 cans:
Total cost for 15 cans = Cost per can * Number of cans
Total cost for 15 cans = $2 * 15 = $30
Sabah has $450 to pay for college textbooks. She expects to pay about $75 per book. Her friend told her that 4 of them can be checked out of the library for free.
Complete the equation below to find the total number of books that Sabah can get for her classes. Use b to represent the total books.
Answers
6 + w = -8. What is w?
Answers
w = -14
Happy to help and just let me know if ya need extra help.
~Brooke❤️
The answer would w = -14 because you take -8 and switch the sign to positive +8 and add 6, so 8 + 6 = 14 then you take 14 and make it a negative number and putting it in the place of w, therefore 6 + (-14) = -8
What happens when year on year percent change goes below 0%?
Answers
Your friend asks you to help him with his snow shoveling business and will pay you 3 3 pennies for the first job. You agree to help if he triples your payment for each job completed. After 2 2 shoveling jobs, you will receive 9 9 pennies, and after 3 3 shoveling jobs, you will receive 27 27 pennies. What is the exponent?
Answers
This is how it would look
3^1 (the "^" means 'to the power of')
3^2
3^3
3^1= 3
3^2=9
3^3=27
use the proportion to convert millimeters to centimeters. 10mm/1cm=47mm/x
Answers
- 1 centimeter=10 milimeters.
- The milimeter is defined as a unit of lenght and its symbol is "mm".
1. If you want to convert 47 milimeters to centimeters by using proportions, you have:
10 mm/1 cm=47mm/x
2. Then, you only have to clear the "x":
(10 mm)x=(47mm)(1 cm)
x=(47 mm)(1 cm)/10 mm
3. Therefore, the result is:
x=4.7 centimeters
Find the general solution of the differential equation x^2y′′+xy′−y=2x for x>0 by first showing that the function yp=−12x+x ln(x)is a particular solution for the differential equation.
Answers
last year, a married couple had their first child. should they file their federal income tax return using the 1040EZ form instead of the 1040 form?
A. No, partly because they will be able to claim a dependent.
B. No, partly because they will not be able to claim a dependent
C. Yes, partly because they will not be able to claim a dependent.
D. Yes, partly because they will be able to claim a dependent.
Answers
Answer:
A
Step-by-step explanation:
Apex just did the quiz:))
Option A is correct, No, partly because they will be able to claim a dependent.
What is Income tax?An income tax is a tax imposed on individuals or entities in respect of the income or profits earned by them. Income tax generally is computed as the product of a tax rate times the taxable income.
Having a dependent usually makes the 1040EZ form insufficient for most taxpayers, as the 1040EZ form is only recommended for those with simple tax situations.
In this case, the couple can claim their dependent as a tax credit, which is not possible on the 1040EZ form.
They should file a 1040 or 1040-SR form instead.
Hence, Option A is correct, No, partly because they will be able to claim a dependent.
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Ms.jones has a decorative pyramid that sits on her fireplace mantle .the base is an equilateral triangle with an area of 6 square inches. The height of the pyramid is 15 inches. What is the volume?
Answers
.. V = (1/3)Bh
Fill in the given values and do the arithmetic.
.. V = (1/3)(6 in^2)*(15 in)
.. V = 30 in^3
The volume is 30 cubic inches.
Final answer:
To find the volume of Ms. Jones's pyramid with an equilateral triangle base area of 6 square inches and a height of 15 inches, we use the volume formula for a pyramid, V = [tex]\frac{1}{3}[/tex] × base area × height, resulting in a volume of 30 cubic inches.
Explanation:
To calculate the volume of the pyramid, we use the formula for the volume of a pyramid which is V = [tex]\frac{1}{3}[/tex] × base area × height. The base of Ms. Jones's decorative pyramid is an equilateral triangle with an area of 6 square inches, and the pyramid's height is 15 inches. First, we need to find the volume using the given base area and height.
Substituting the values into the formula, we get:
V = [tex]\frac{1}{3}[/tex] × 6 in² × 15 in
V = 2 in² × 15 in
V = 30 in³
Therefore, the volume of Ms. Jones's pyramid is 30 cubic inches.
For Anya's birthday her father gave out colorful birthday hats that were cone shaped. The opening of the bottom of the hat was 3 cm and the height of the cone was 7 cm. Anya fills her hat with candy. What is the exact volume of candy?
J. 65.97 cubic centimeters
K. 20.36 cubic centimeters
L. 16.49 cubic centimeters
M. 56.48 cubic centimeters
Answers
V = (1/3) pi * r^2 h
pi = 3.14
d = 3 cm. (very small)
r = d/2 = 3/2 = 1.5 cm
h = 7 cm
V= (1/3) 3.14 * 1.5^2 * 7
V = 1.04 * 1.5^2 * 7
V = 16.485 cm^3
L <<<<==== answer.
Answer:
Step-by-step explanation:
For the florist problem you would do 6 assistance
A company sells boxes that are 2 3/8 feet high, 3 5/8 feet long, and 1 7/8 feet wide. John has a storage room that is 8 feet wide, 10 feet deep, and 12 feet high. You may rotate the boxes so that the width and length are interchanged, but the boxes may not be laid on their sides. a. What is the maximum number of boxes that he may stack on top of one another? b. How much room will there be left between the top of the stack of boxes and the ceiling?
Answers
The maximum height of a stack of boxes is 5 boxes.
b) (1/19)*(2 3/8 ft) = 1/8 ft is the room left at the top of the stack.
IMPORTANT
[how do you]Find sin theta if tan theta = 3/4
Answers
bear in mind that, though the square has two valid roots, one negative and one positive, the hypotenuse is just a radius distance, and therefore is never negative.
help me plssssssssssssssssssssssssssssssssssssssss
Answers
Let
x = gallons of water to be added
For the 10% solution we have:
0.1 * 8 = 0.8
Then, for 5% we have:
(0.8 / x + 8) = 0.05
Rewriting:
(0.8 / x + 8) = (5/100)
Answer:
An equation can be used to find x, the humber of gallons of water he should add is:
(0.8 / x + 8) = (5/100)
The following stem-and-leaf plot represents the scores earned by Mr. Roberts's class on their most recent science test.
What is the median of the scores?
78
80
81
86
Answers
_____
For the picture, ...
There are 7 scores above the row with stem=8, and 7 scores below that row. Thus the middle score will be the middle score of the row with stem 8.
The median of the scores in the figure is 81.
Answer:
81
Step-by-step explanation:
find the surface area of the composite solid round your answer to the nearest tenth and explain your answer
Answers
Volume of the cone is 13.1
Volume of the cylinder is 18.9
Now, you just subtract two of the flat circular surfaces, because the two shapes are attached, therefore those parts are not surface area. And there is your answer.
Write the expression to find the surface area
sa = lateral side of cone + lateral side of cylinder + circle
sa = (π × r × s) + (2 × π × r × t) + (π × r²)
Input the numbers
sa = (π × 1 × 3) + (2 × π × 1 × 2) + (π × 1²)
sa = 3π + 4π + π
sa = 8π
sa = 8 × 3.14
sa = 25.12
to the nearest tenth
sa = 25.1
The surface area of the composite solid round is 25.1 m²
Give a big-o estimate for the number of operations (where an operation is an addition or a multiplication) used in this segment of an algorithm. t := 0 for i := 1to3 for j := 1to4 t := t + ij
Answers
So there are 3*4=12 executions of t:=t+ij.
Assuming two operatiions per execution of the innermost loop, (i.e. ignoring the implied additions in increment of subscripts), we have 12*2=24 operations in all.
Here the number of operations (+ or *) is exactly known (=24).
Big-O estimates are used for cases with a varying scale of operations, governed by a variable (usually n) to indicate the sensitivity of the number of operations relative to a change in the size of n.
Here we do not have a scale, nor n is defined. The number of operations is constant and known at 24. So a variable is required to find the big-O estimate.
If mc019-1.jpg and n(x) = x – 3, which function has the same domain as mc019-2.jpg?
Answers
This means
(x-3) + 5 x+2
m(n(x)) = ------------- = --------
(x-3) -1 x-4
The domain of this function is all real numbers - {4}
The function with the same domain is h(x) = 11/x-4
Answer:
It's C to save you time.
Step-by-step explanation:
Find the 29th term of the following sequence. 19.5, 19.9, 20.3, 20.7, . . .
Answers
the nth value is given by:
nth=a+(n-1)d
where:
a=first term
d=common difference
n=number of terms
From the series:
19.5, 19.9, 20.3, 20.7,.....
a=19.5
d=0.4
n=29
thus
29th=19.5+(29-1)0.4
29th=30.7
solve for y: when 3x + 2x+3y =180
Answers
that's your answer!
Write a function numberofpennies() that returns the total number of pennies given a number of dollars and (optionally) a number of pennies. ex: 5 dollars and 6 pennies returns 506.
Answers
The general idea should be the same. Since 1 dollar = 100 pennies, we should write something like...
Java:
public static double numberofpennies(double dollars, double penny) {
double sum = 0;
// The amount of pennies that dollar represents
double converted = dollars * 100.0;
sum = converted + penny;
return sum;
}
Note: You should probably place this question under the category computer and technology instead of math. Also, this is just an example of what you could possibly write. What parameters you are allowed to use, what type (double? int? etc?) of pennies are you allowed to return, etc. depends on how you write it.
The numberofpennies() function calculates the total number of pennies by converting dollars to pennies and adding any additional pennies. It multiplies the number of dollars by 100 and adds the extra pennies to find the total.
Explanation:Function to Calculate Total Number of Pennies
The function numberofpennies() is used to calculate the total number of pennies for a given amount of dollars and optionally, additional pennies. To do this, it converts the dollars into pennies and then adds the additional pennies if they are provided.
Example Function in Python
Here is an example of how one might write the numberofpennies() function in Python:
def numberofpennies(dollars, extra_pennies=0):return (dollars * 100) + extra_pennies
# Example usage:
total_pennies = numberofpennies(5, 6)
print(total_pennies) # This would print 506
In this example, the function takes two arguments: dollars, which is a mandatory argument representing the number of dollars, and extra_pennies, which is an optional argument representing additional pennies. The function then returns the total number of pennies by multiplying the number of dollars by 100 and then adding the extra pennies if any.