Answer: i
Step-by-step explanation:
It is imaginary, since if you try squaring numbers, ex: -1, 1,0,2 you always get a number bigger or equal to 0.
For years mathematicans argued weather the square root of -1 (or any negative number) should exist.
Then one day, a mathematician proposed a soulution, the square root of -1 could be i. Everyone liked that and so now the square root of -1 is i
HELP ME PLEASE I ALREADY GRAPHED IT BUT PLEASE ANSWER THE QUESTION BELOW
Answer:
32ed
Step-by-step explanation:
The sum of a two-digit number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the numbers which satisfy this condition.
Answer: 4 and 2
Step-by-step explanation:
a + b = 6
a - b = 2
Sum these equations, we get 2a = 8, then a = 4
Substitute to one of these equations, we get 4 - b = 2, so b = 2
Prove: The sum of 24 and 42 is 66, and 4 and 2 differ by 2 are both correct!
Can someone plz help me
Which of the expressions are equivalent to the one below? Check all that
apply.
(8 + 2) • 4 + 2
Answer:
The answer is D. (8•4 ) + (2•4) + 2
Answer:
The answer is only D.
Step-by-step explanation:
So let's look at this together:
Before we start anything, we MUST solve the equation that we are trying to find first. That way we can compare answers.
This is the problem we must solve using PEMDAS: (8 + 2) x 4 + 2 = 42 (USING PEMDAS)
Choice A:
8 x 4 + 2 + 2 =
We would need to use PEMDAS
P = Parenthesis
E = Exponents
M = Multiplication
D = Divison
A = Addition
S = Subtract
So for Choice A, we would go in order so starting with Parenthesis there is none, so we move on to Exponents. Since there is none we go to Multiplication. Now we Multiply 8 x 4 and get 32 and add 2 + 2. The sum doesn't add up to 42, so we know that the answer choice is wrong. If you keep doing this for all the answer choices, all of them would have a different number that wouldn't equal 42.
EXCEPT D. (8 x 4) + (2 x 4) + 2 = 42
HOPE THIS HELPS!
If Jonny was 21 years old . He is 3 times as old as Becky determined Becky’s age
Answer:
Becky is 7 years old.
Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.
Answer:
Becky's 7 seven years old
Step-by-step explanation:
If 21 = 3x
x = 21/3
x = 7
Hope this helps :)
Pls brainliest...
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
For an investment of 26,245, a quarterly statement reports that the account is 26,292. The statement reports that for the same quarter, the rate of return of the investment was - 0.02%. Given the information regarding the investment quarterly activity, does the reported rate of return seem reasonable?
No. The reported return rate appears lower than expected.
Rate of returnsTo determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.
First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.
Then, we can use the following formula to calculate the expected rate of return:
Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1
Plugging in the given values, we get:
n = 1 (since we are only given information for a single quarter)
Initial investment = 26,245
Ending value = 26,292
Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%
Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.
Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.
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Find slope of the line that passes through
(1, -4) and (-4, -6)
Answer: 2/5
Step-by-step explanation:
Convert this intercept form equation, y=-8.3/100(x+1)(x-5), into standard form, with steps.
Answer:
4x+5y=15
Step-by-step explanation:
Btw brainliest me plss
1. Dilate about the origin using a scale factor of 2.
A (5.5, 4.5) B (6, 2) C (3.5, 1.5) D (3,4)
Post Image Coordinates: A’______B’______ C’_______ D’______
2) Dilate about the origin using a scale factor of 1 1/3
A (1 1/2, 12) B (-3, 6) C (-9, 9)
Post Image Coordinates: A’ ____ B’ ____ C’ _____
If it dilated by a factor of 2, we will multiply the coordinates by 2 to have:
A'(11, 9) B (12, 4) C (7, 3) D (6,8)
If the coordinate points A (1 1/2, 12) B (-3, 6) C (-9, 9) is dilated by a factor of 1 1/3, the resulting coordinates will be A'(3, 16) B'(-4, 8) C'(-12, 12)
Dilations and scale factorsDilations is a transformation technique used to enlarge or diminish an image.
Given the coordinate points A (5.5, 4.5) B (6, 2) C (3.5, 1.5) D (3,4), it dilated by a factor of 2, we will multiply the coordinates by 2 to have:
A'(11, 9) B (12, 4) C (7, 3) D (6,8)
Similarly if the coordinate points A (1 1/2, 12) B (-3, 6) C (-9, 9) is dilated by a factor of 1 1/3, the resulting coordinates will be A'(3, 16) B'(-4, 8) C'(-12, 12)
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You are running a fuel economy study. One of the cars you find is blue. It can travel 28 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 28 4/5 on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
If you are running a fuel economy study. the unit rate for miles per gallon for each car is 22.8 miles and 23.04 miles and the fastest car is Red car.
How to find the unit rate?Units rate = Distance /Time
Blue car
Unit rate = 28 1/2 miles ÷ 1 1/4 gallons of gasoline
Unit rate = 28.5miles ÷ 1.25 gallons of gasoline
Unit rate = 22.8 miles
Red car
Unit rate = 28 4/5 miles ÷ 4/5 gallons of gasoline
Unit rate = 28.8miles ÷ 0.8 gallons of gasoline
Unit rate = 23.04 miles (Fastest)
Therefore the unit rate for each car is 22.8 miles and 23.04 miles and the fastest car is Red car.
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How to figure out equivalent fractions
Answer:
You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers
Answer:
Step-by-step explanation:
By using multiplication or division. Multiplying the numerator and denominator or simplifying which is also division.
Which question is not a good survey question?OA.Which student in your class has the best study habits?O B.What is your preferred time to study?OC.How many hours do you study each night?O D.Where do you prefer to study?
Answer:
\(A\)Explanation:
Here, we want to get the survey question that is good
From what we have, while other questions are about the individual himself, the others are about another individual (with different
The other questions are there to be informed about the patterns and variability in the actions taken by different individuals
Thus, from what we have, option A is not a good survey question
Which pair shows equivalent expressions? Hurry it’s timed
Answer:
B I'm pretty sure
Step-by-step explanation:
If positive 2 is divided by a number between zero and one, the quotient will be: A Less than zero, B Greater than 2 , C less than 2, D between zero and one
Answer:
Number greater than 2
Step-by-step explanation:
.5 is between zero and one
\(\frac{2}{.5}\) = 4
B. Greater than 2
Step-by-step explanation:Step 1: Positive 2 is a number greater than 0.
Step 2: When a number is divided by a number between 0 and 1, the quotient will always be greater than the number being divided, meaning that the quotient will be greater than 2.
Step 3: For example, if 2 is divided by 0.5, the quotient will be 4, which is greater than 2.
Step 4: Therefore, the correct answer is B. Greater than 2.
If you have any additional questions or need further assistance, please let me know.
What is the answer to this question?
Y=x^2-1 with the input as 5
We can see that, when the input is 5, the output is 24.
How to evaluate an equation?
Here we have the equation:
\(y = x^2 - 1\)
Where y is the output and x is the input.
We want to evaluate it with the input as 5, so we need to replace the variable x by the number 5, we will get:
\(y = 5^2 - 1 = 24\)
Then we can see that, when the input is 5, the output is 24.
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Simplify the following expression where b = -2 and z = 6
4(−2−7)+3
There is a typo here. We cannot evaluate the given expression if there is no b and z to replace with the given values. Get it?
The radius of a circle is 17 centimeters. What is the circle's circumference?
Answer:
The circle's circumference is approximately 106.81 centimeters.
Explanation:
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.
So, for a circle with a radius of 17 centimeters, its circumference can be found by:
C = 2πr
C = 2 x 3.14 x 17
C ≈ 106.81 cm
Therefore, the circumference of the circle is approximately 106.81 centimeters.
Is 6/16 greater or less than 4/10
Answer:
Less than 4/10
Step-by-step explanation:
First lets convert both fractions to a common denominator:
16 and 10 can both go into 80 equally.
Now lets convert the fractions so they have a denominator of 80:
(6/16) *5 = 30/80
(4/10) *8 = 32/80
we can multiply the fractions to get just the numerator (*80)
Now compare 30 to 32. As you can see 32 is greater meaning that 6/16 is less that 4/10.
In a recent survey,77 % of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center. Round to the nearest three decimal places.
The probability of that exactly 8 of them favor the building of the health center is 0. 399
How to determine the probabilityFrom the information given, we have that 70% of the community favors the building of the health center
Number of citizens chosen = 14
P(8) = \(\frac{8}{14}\) × \(\frac{70}{100}\)
P(8) = \(0. 57\) × \(0. 7\)
P(8) = \(0. 399\)
Thus, the probability of that exactly 8 of them favor the building of the health center is 0. 399
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Which number line shows the solution set for 1h-21 = 4?
Answer: Option 2
Step-by-step explanation:
\(|h-2|=4\\\\h-2=\pm 4\\\\h=-2, 6\)
Samuel will arrive at the airport on the first plane after 10 am Airplanes arrive every 50 mins beginning at 6 am when will samuels plane arrive?
Samuels plane arrive will arrive at 10:10 am, in the given algebraic problem.
What is algebraic expression?An algebraic expression is a mathematical expression that uses coefficients, unknown variables, algebraic operations, and constants. However, it is not acceptable to use an equality symbol in an expression.
Mathematical expressions and sentences come in a wide variety. the relationships between equations, numerical expressions, and algebraic expressions.
The difference between 10 am and 6 am
is 4 hours, So the the time he arrives will be a multiple of 50 grater than 4 hours
50x > 4 × 60
50x > 240
x > 240/50
x > 4.8
x = 5 (as 5 is nearest single digit no. to 4.8)
50x = 50 × 5
= 250 minutes
250 mins = 4 hours and 10 mins
6 am + 4 hours and 10 mins
= 10 hour and 10 min or 10:10 am
Thus, Samuels plane arrive will arrive at 10:10 am, in the given algebraic problem.
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how to solve 10a-3; a=2
To evaluate 10a - 3, when a = 3,just replace the value of a into the equation, as follows:
10(3) - 3 =
= 30 - 3=
= 27
PLEASE LIST A,B,C,D,E,F (image attached)
Answer:
\(a (5)\)
\(b (0,5)\)
\(c (-3,0,5)\)
\(d (1/3, 5/8, 66/67, -1.27)\)
\(e( \sqrt{2} \: \sqrt{7} \: )\)
\(f( - 3 \: 5 \: \frac{1}{3} \: \frac{5}{8} 0 \: \sqrt{2 \:} \sqrt{7} - 1.27 \: \frac{66}{67} )\)
Exercise #1: Rectangle ABCD is shown below. Recall that all rectangles have four right angles and adjacent sides are perpendicular to each other.
A) What is the area of ABCD? Include appropriate units in your answer.
B) Draw a line segment from point A to point C. Redraw the resulting right triangle ACD below.
C) What is the area of triangle ACD? Explain how you determined your answer.
The area of a rectangle ABCD is 60 square inches and the area of triangle ACD is 30 square inches.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
In the given rectangle ABCD, AD= 5 in. and DC=12 in.
a) Now, area of rectangle ABCD =DC×AD
= 12×5
= 60 square inches
b) By joining vertices A and C, we get triangle ACD.
c) Now, the area of triangle ADC is
Area =1/2 ×Base×Height
= 1/2 ×12×5
= 30 square inches
Therefore, the area of a rectangle ABCD is 60 square inches.
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Find the values of x and y.
A. x = 42, y = 26.3
B. x = 47, y = 30
C. x = 42, y = 30
D. x = 47, y = 26.3
Answer:
C
Step-by-step explanation:
2x + 1 = 85 (Alternate Interior Angles Theorem)
2x = 84
x = 42
(3y + 5) + (2x + 1) = 180 (Linear Pair Theorem)
3y + 5 + (85) = 180
3y + 5 = 95
3y = 90
y = 30
Answer:
x = 42, y = 30
Step-by-step explanation:
Alternate angles are equal so
85 = 2x + 1
2x = 84
x = 42°
Linear pair
(3y + 5) + (2x + 1) = 180
3y + 5 + 85 = 180
3y = 90
y = 30°
So I think the answer is x = 42° and y = 30°.
Hope it helps.
The volume of a tree stump can be modeled by considering it as a right cylinder. Lauren measures it’s height as 0.7ft and it’s radius as 20in find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary
The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Given:
Radius (r) = 20 inches
Height (h) = 0.7 feet
First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:
Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches
Now, we can substitute the values into the volume formula:
Volume = π * (20 inches)^2 * 8.4 inches
Calculating the volume:
Volume = 3.14159 * (20 inches)^2 * 8.4 inches
≈ 3.14159 * 400 inches^2 * 8.4 inches
≈ 1005.3096 cubic inches
Rounding the volume to the nearest tenth:
Volume ≈ 1005.3 cubic inches
Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
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multiply x2+3x+2 x 2x2+3x-1
Answer:
its 2x^4+9x^3+3x^2+12x_2.
I need some help with this
on which very old object does a table of prime numbers appear?
Answer:
Among their remains is the second oldest mathematical object (the oldest is here) in Africa. Some say that the Ishango Bone is the oldest table of prime numbers.
Step-by-step explanation:
On Ishango bone very old object does a table of prime numbers appear.
What is the prime number?A prime number is a whole number greater than 1 whose only factors are 1 and itself.
A factor is a whole number that can be divided evenly into another.
Ishango bone is old, but the oldest "mathematical artifact" currently known is much older.
The oldest is a piece of baboon fibula with 29 notches, dated 35,000 BC.
This older bone was discovered in the mountains between South Africa and Swaziland.
There is also a Czechoslovakian wolf's bone with 57 notches that dates from 30,000 BC.
Bushmen clans in Nambia use similar bones for calendar sticks today.
Hence, on Ishango bone very old object does a table of prime numbers appear.
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A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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