Answer:
1) -√9
2) √18
3) |4.5|
Step-by-step explanation:
-√9 = -3
√18 = 4.2426406871 = 4.2
|4.5| = 4.5
↑
Absolute value - Those two lines mean that any number, positive or negative, will be positive.
Hope this helps :)
Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her
total balance of $500. Using the formula A - P(1 + r), how much money did Uta initially invest?
$180.00
$320.00
$352.48
$471.70
Answer:
$352.48
Step-by-step explanation:
500 = P(1+6/100)^6
500 = P(1.141851912)
P = 500 / 1.1418519112 = 352.48
Smallest successive composites with gap
17, 73, 2, 19
Answer:
Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:
1. $341 = 11 \times 31$
2. $458 = 2 \times 299$
3. $460 = 2^2 \times 5 \times 23$
4. $479 = 13 \times 37$
Given below are descriptions of two lines.Line 1: Goes through (15,-115) and (-14,117)Line 2: Goes through (11,75/8) and (13,77/8)The slope of Line 1 is m =-8The slope of Line 2 is m =?
The slope m of the line
= (77/8 - 75/8) / (13 - 11)
= (2/8)/ 2
= 2/16
= 1/8
Which statement best defines work?
1. work is the time it takes to move an object once acted upon by a force.
2. work occurs when balanced forces act on a object and cause movement in the direction of these forces.
3. Work occurs when a force causes motion of an object, and this motion is in the same direction of the applied force.
4. Work is the distance over time that an object moves once acted on by a force.
Answer:
1. work is the time it takes to move an object once acted upon by a force
c=3
c2 + 5
..............
Answer:
3x2+5=11
Step-by-step explanation:
if Peter pays $84 to buy a watch after discount of 20% find the original price of the watch
Answer:
$100.80
Step-by-step explanation:
84 x 1.2 = 100.8
Here are the shopping times (in minutes) of ten shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 5.)
The frequency which is to filled in the table is 1, 4, 2 and 4.
Given that;
All shopping time of ten shopkeeper:
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.
Since, Shopping time is given as ,
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
And, Intervals for which frequency is given is ,
18 to 22, 23 to 27, 28 to 32, 33 to 37.
Hence, WE get;
Numbers in the range 18 to 22 = 18 therefore 1
Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4
Numbers in the range 28 to 32 = 29, 28 therefore 2
Numbers in the range 33 to 37 = 36, 33, 37, therefore 3
Hence, the frequency which is to filled are 1, 4, 2 and 4.
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“Number line” 1⁄2, 3⁄4, 60%, .56, 85%. Place the largest and smallest product between 2 of the values on the number line. Place the largest and smallest quotient between 2 of the values on the number line.
The numbers "1⁄2, 3⁄4, 60%, .56, 85% " are represented on number line such as given below in figure.
A number line is a pictorial representation of numbers on a straight line. It’s a reference for comparing and ordering numbers. It can be used to represent any real number that includes every whole number and natural number. Just to recollect, the whole number is a set of numbers that include all counting numbers (1, 2, 3,4,5,6 …….) and zero (0), whereas the natural number is the set of all counting numbers i.e. 1, 2, 3, 4, 5, 6……..
Writing numbers on a number line make it easier to compare the numbers. From the above figure, we can see that the integers on the left side are smaller than the integers on the right side. For example, 0 is less than 1, -1 is less than 0, -2 is less than -1, and so on.
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-2(n+1)=6
n=
please help
-2(n + 1) = 6
Distribute the -2:
-2n -2 = 6
Add 2 to both sides:
-2n = 8
Divide both sides by-2
N = -4
What is the value of x in this proportion?
56=−4x+2
Responses
x=−2 4/5
x equals negative 2 and 4 over 5
x=−4 2/5
x equals negative 4 and 2 over 5
x=−5 1/5
x equals negative 5 and 1 over 5
x=−6 4/5
x equals negative 6 and 4 over 5
The value of x or the expression 56 = -4x + 2 is -27/2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
56 = -4x + 2
Solve for x.
56 = -4x + 2
Subtract 2 on both sides.
56 - 2 = -4x
54 = -4x
Divide -4 into both sides.
-54/4 = x
x = -54/4
x = -27/2
x = -13(1/2)
Thus,
The value of x is -27/2.
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Simplifying Algebraic Expressions
-17 - 11h + 19
Please show your work!
Answer:
11h+2
Step-by-step explanation:
−17−11ℎ+19=
−17+−11h+19
Combine Like Terms:
=−17+-11ℎ+19=
(+11ℎ)+(−17+19)=−
11ℎ+2
Answer:
the correcto answer it's
25
Step-by-step explanation:
the answer it's 25
OK for real this is a hard only verified experts can do this!!!!
The numeric value of the exponential expression in this problem is given by the following option:
A. 2^12.
How to obtain the numeric value of the exponential expression?The exponential expression for this problem is defined as follows:
8^x/2^y.
8 is the third power of 2, hence:
8 = 2^3.
When a term is elevated to two of it's powers, the powers are multiplied, hence:
(2^3)^x = 2^(3x).
Meaning that the exponential expression is then written as follows:
8^x/2^y = 2^(3x)/2^y.
When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:
2^(3x)/2^y = 2^(3x - y).
As stated in the problem, the numeric value of the expression 3x - y is given as follows:
3x - y = 12.
Hence the entire expression is simplified as follows:
2^(3x - y) = 2^12.
Meaning that the correct option is given by option A.
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Answer:A. 2^12.
Step-by-step explanation:i did it and got it right
Jerry has $5 and $10 bills in his wallet. He has a total of 7 bills in his wallet for a total of $50. How many bills does he have of each?
Answer:
Step-by-step explanation:
you have 51 coins in your pocket, all dimes and quarters. You have $10.20. How many dimes and quarters do you have?
To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.
To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.
We know that there are 51 coins in total, so we can write the equation: d + q = 51.
We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
Rearrange the first equation to solve for d: d = 51 - q.
Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.
Simplify and solve for q: 510 - 10q + 25q = 1020.
Combine like terms: 15q = 510.
Divide both sides by 15: q = 34.
Now substitute this value back into the first equation to solve for d: d + 34 = 51.
Subtract 34 from both sides: d = 17.
Therefore, you have 17 dimes and 34 quarters.
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( - 37 + 37 ) ÷ - 15 = What is the answerr
Answer:
0
Step-by-step explanation:
\(~~~(-37+37 )\div(-15)\\\\=0\div (-15)\\\\=0\)
Answer:
0
Step-by-step explanation:
Following PEMDAS -37+37 is 0 and 0/-15 is also 0
A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.
A table showing Discount Cards Fundraiser with two columns and six rows. The first column, Cards Sold, has the entries, 10, 20, 30, 40, 50. The second column, Remainder of Goal, has the entries, $875, $795, $715, $635, $555.
Which word describes the slope of the line representing the data in the table?
zero
undefined
negative
positive
5
9
The word that describes the slope of the line representing the data in the table is "negative."
To determine the slope of the line representing the data in the table, we need to examine the relationship between the number of cards sold and the remaining amount of money needed.
Looking at the given data, we observe that as the number of cards sold increases, the remaining amount of money needed decreases. This indicates an inverse relationship between the two variables.
The slope of a line represents the rate of change between two variables. In this case, the slope is negative because the line decreases as we move from left to right.
Therefore, the word that describes the slope of the line representing the data in the table is "negative."
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2/5 bigger or smaller than 6/8
PLZZZZZ HELP I DONT GET IT
Answer:
C
Step-by-step explanation:
5.9(9 - 5) + 4^3 + 3.86
5.9(4) + 4^3 + 3.86
5.9(4) + 64 + 3.86
23.6 + 64 + 3.86
Put the decimals together so it will be easier:
23.6 + 3.86 + 64
27.46 + 64
= 91.46
\(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)
______________________________
\(\bold{Solution~Steps:}\)
\(1.)~Solve~parenthesis~first:\)
\(\bold{(9-5)=4}\)\(\bold{Solve~using~PEMDAS-Parenthesis.}\)\(2.)~Calculate~the~power~of~4^3:\)
\(\bold{4^3=64}\)\(\bold{Solve~using~PEMDAS-Exponents.}\)\(3.)~Multiply:\)
\(\bold{5.9}\) × \(\bold{4=23.6}\)\(\bold{Solve~using~PEMDAS-Multiplication.}\)\(4.)~Add:\)
\(\bold{23.6+64=87.6}\)\(\bold{87.6+3.86=91.46}\)\(\bold{Solve~using~PEMDAS-Addition.}\)______________________________
\(\bold{Answer:}\)
\(\bold{The~simplified~equation~answer~is~\boxed{C.}}\)______________________________
\(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}\)
Help me please I am begging y’all
given: ab=bc, ae=fc
prove m
rsm problem pls help
The triangles ∆AEC ≅ ∆AFC by Side-Angle-Side theorem
How to determine the proof of the trianglesThe complete question is added as an attachment
With the given information and the image attached below, we can state that the two triangles are congruent by SAS,
Then go ahead to use the CPCTC to show that any of their corresponding parts are congruent as well.
The proof is given as:
Statement Reason
1. AB ≅ BC, AE ≅ FC 1. Given2. AC ≅ AC 2. Reflexive property of congruence3. <BAC ≅ <BCA 3. Base angles of isosceles ∆BAC4. ∆AEC ≅ ∆AFC. 4. SAS5. <AEC ≅ <AFC. 5. CPCTCRead more about congruence proof at:
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1) Convert 2-7i to trigonometric form
2) Use the n-th roots theorem to find the requested roots of the given complex number.
Find the cube roots of 125
Answer:
1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)
2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)
Step-by-step explanation:
Problem 1
\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)
Problem 2
\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)
\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)
\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)
Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)
. Suppose you received an unexpected inheritance of $72,000. You have decided to invest the money by
placing some of the money in stocks and some in bonds. To diversify, you decided that five times the
amount in bonds should equal three times the amount invested in stocks. How much should be invested in
stocks?
Answer:
$45000 should be invested in stocks
Step-by-step explanation:
Given
Represent Bonds with B and stocks with S
\(S + B = 72000\)
\(5B = 3S\)
Required
Determine the values of S
Solve for B in \(5B = 3S\)
\(B = \frac{3}{5}S\)
Substitute \(\frac{3}{5}S\) for B in \(S + B = 72000\)
\(S + \frac{3}{5}S = 72000\)
\(\frac{5+3}{5}S = 72000\)
\(\frac{8}{5}S = 72000\)
Solve for S
\(S = 72000 * \frac{5}{8}\)
\(S = \frac{72000 * 5}{8}\)
\(S = \frac{360000}{8}\)
\(S = 45000\)
Hence: $45000 should be invested in stocks
Identify the square root of 2 as either rational or irrational, and approximate to the tenths place
Answer: Irrational
Step-by-step explanation:
It is irrational because you cannot multiply a number by the same number to get the square root of 2.
I think the approximation is 1.4 or 1.42
Solve for X. - 7X - 50 less than or equal to -1 and -6X +70 greater than -2
Answer: x ≤ 7
Step-by-step explanastion: 7x-50≤ -1 and -6x +70> -2
Solve separately and then put back together
7x-50≤ -1
Add 50 to each side
7x-50+50≤ -1+50
7x ≤ 49
Divide each side by 7
7x/7 ≤ 49/7
x ≤ 7
-6x +70> -2
Subtract 70 from each side
-6x +70-70> -2-70
-6x> -72
Divide by -6, remembering to flip the inequality
-6x/-6 < -72/-6
x < 12
The first is more restrictive, and since it is an and, we use the more restrictive answer
what’s the y-intercept of each graph
Answer:
The y-intercept of Graph 1 is (0,5)
The y-intercept of Graph 1 is (0,-5)
Step-by-step explanation:
The y-intercept is when the line interesects the y-axis. You can see that the line in Graph 1 intersects at (0,5) on the y-axis, and that the line in Graph 2 intersects at (0,-5) on the y-axis.
Hope this helps! :)
Ruby has 20 oranges. If she eats 3/5 of them, how many does she have left.
Answer:
She has 12 oranges left
Step-by-step explanation:
convert 3/5 to a decimal
3÷5=0.6
then multiply that by 20
0.6*20=12
Hello!
I am here with a few geometry questions today.
What quadrant would it be in?
When you answer this question please be sure to explain your answer and show work.
Good luck! Have a great day!
Answer:
C. quadrant IIIStep-by-step explanation:
Given point (2, -7)
Translation rule T₍₋₃,₁₎
Translated point is:
(2 + (-3), -7 + 1) = (-1, -6)Point (-1, -6) is located in the quadrant III as both coordinates are negative
Correct option is C
if you were conducting an upper tailed test where the level of significance was 0.05 and the population standard deviation was not known, then which of the following excel commands would give you the critical value? the sample size is 26.
The following excel commands would give you the critical value is T.INV(0.95,25)
What is excel commands?
The following describe the commands in Excel: They carry out tasks the same way users do. They can change Excel settings, open, close, and edit documents, start recalculations, and other actions that users may perform (within the bounds of the interface being utilized). Excel's command menu interface is called the Ribbon. It logically and visually groups together frequently used actions. These make up the Ribbon's principal components. Related groupings of commands are grouped together by tabs.
Population sd is not available so we have to use t test.
0.95 is for upper bound and 25 is df of t test.
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CAN SOMEONE PLEASE HELP ME I CANT FIGURE THIS OUT FOR THE LIFE OF ME I HAVE LITTLE TIME LEFT THANK YOU!!
Solving for question no. 19, we have x = 60 and scale factor = 2.8,
And solving for question no. 20, we have x = 19.5 and scale factor = 1.5
What is scale factor?
The ratio between the scale of an original object and a new object that is a representation of it but is a different size is known as a scale factor (bigger or smaller). For instance, if a rectangle has sides of 2 cm and 4 cm, it can be made larger by multiplying each side by a certain number, in this case 2.
20. If ST || PR then SQ ||X and QT || side 21cm
WE can see that a scaled image form here
all the side are same scaled as it corresponds to previous image
So,
The scale = 10 × scale = 15
scale = 15/10
scale = 3/2 or 1.5
With that in mind
x = 1.5 × 13
x = 1.5 × 13
x = 19.5
19. We have given two congruent triangles
the scale = 84/30
= 2.8
x = 168/2.8
x = 60
Thus, Solving for question no. 19, we have x = 60 and scale factor = 2.8
And solving for question no. 20, we have x = 19.5 and scale factor = 1.5
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IQ is normally distributed with a mean of 100 and a standard deviation of 15. a) Suppose one individual is randomly chosen. Find the probability that this person has an IQ greater than 95. Write your answer in percent form. Round to the nearest tenth of a percent. P (IQ greater than 95) = % b) Suppose one individual is randomly chosen. Find the probability that this person has an IQ less than 125. Write your answer in percent form. Round to the nearest tenth of a percent. P (IQ less than 125) = % c) In a sample of 600 people, how many people would have an IQ less than 110? people d) In a sample of 600 people, how many people would have an IQ greater than 140? people