Answers
Answer:
159
Step-by-step explanation:
10^2+(3+5)^2-5
First do the parentheses: 3+5 is 8
Now the equation is
10^2+8^2-5
Exponents:
10^2 is 100
8^2 is 64
100+64-5
Simplify and you would get 159
Thus the answer is 159
Hope this helps!
First thing we want to know is what it is asking us.
So, it is asking us to evaluate this expression. Which means to find the answer to it.
Second thing is the order of Operations.
P- (Parentheses)
E-Exponents
M Multiplication
D Division
A Add
S Sub
Now that we know what that means, we may now solve it.
you see a parenthesis, right? Do what is inside first
1.3+5=8
Now there is a exponent by the parentheses. We do that next
(Exponent means we times that number by the number. Like 4 to the power of 3 is really just 4x4x4)
2.8 to the power of 2 is 8x8 which is 64.
So, we got 64 down let's see our equation now.
10^2+64-5
Now, the next step in PEMDAS Is to do the exponents. 10 to the power of 2 is really just 10x10.
(A trick is that if you see the little number beside the 10, it means how many zeros there are like 10to the power of 2 is 100)
So, our new equation is
100+64-5.
Now all we have to do it add and sub right to left
100+64=164
Our new equation is 164-5 which is 159.
I hope this helps! If it's wrong blame me..
Related Questions
Select all the equations that have {7} as its solution set. 65−2x=6x+9 9−x=14x 3+4x=5x−4 x2+1=8x−5
Answers
Answer:
the answer is this hope it helps im not sure if its all right good luck.
Step-by-step explanation:
A. 65-2x=6x+9
B. 9-x=14x
C. 3+4x=5x-4
d is wrong
The first and third equations have {7} as their solution set.
What is an equation?It is a mathematical statement that is made up of two expressions connected by an equal sign.
The first equation is
65−2x=6x+9
Rearranging the above equation gives
8x = 65-9 = 56
i.e x = 7
Consider the second equation,
9−x=14x
i.e x = 9 / 15 = 0.6
The third equation is:
3+4x = 5x−4
i.e x = 7
The last equation is
x^2+1 = 8x−5
Its solution is not equal to 7.
As a result of the preceding equations, we can conclude that only the first and third equations have "7" as their solution set.
To learn more about equation, use the link given below:
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The distance between two cities on a map is 6cm. If the scale one the map is 2 cm=50 miles, how many miles apart are the two cities
Answers
Work Shown:
2 cm : 50 miles
3*(2 cm) : 3*(50 miles)
6 cm : 150 miles
When you purchase a car in the future, what are at least 3 things
you will have to think about first?
Answers
Answer:
How much it cost!? Will it fly?! How far will it fly?!
Step-by-step explanation:
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 0 34 units 0 39 units 0 41 units o 49 units Mark ihis and return Save and Exit
Answers
Answer:
41
Step-by-step explanation:
a² + b² = c²
9² + 40² = c²
81 + 1,600 = c²
√1681 = √c²
41 = c
Which sequence shows the numbers in order from least to
greatest?
1
2
-3
4
3
-3
OA) 2 3
} }
OB) Ź. *.
oc) * * Ź
OD) * *
4
Answers
Answer:
-3 1 2 3 4
Step-by-step explanation:
Answer:
-3 1 2 3 4
Step-by-step explanation:
I need help eeeeeeeee
Answers
Answer:
one left so they all shift by 1
If a new car is valued at $26,000 and 10 years later it is valued at $7000, then what is the average rate of change
of its value during those 10 years?
Answers
Answer:
The change in value is 19,000 altogether and 1900/year
Step-by-step explanation:
Change in value:
initial value - final value
= $26,000 - $7000
= $19,000
Change in value/year:
change in value/time
= $19,000/10
= $1900/year
PLEASE HELP QUESTION IN PICTURE.
Answers
Answer:
D
Step-by-step explanation:
Answer:
12 square units
Step-by-step explanation:
once you plot the triangle on a graph, you'll see that the height is 4 sq inches, while the base is 6. multiply those two and you get 24, and divide that by 2. thats 12
juliana wrote the terms below. –8, –4, 0, 4, 8, 12 what do these terms represent? an arithmetic series an arithmetic sequence a geometric series a geometric sequence
Answers
Answer:
B. an arithmetic sequence
Step-by-step explanation:
hope this helps :)
A piece of timber is
x
cm long.
How long would 3 pieces of timber be put together in a line?
Answers
Answer:
3x cm long.
Step-by-step explanation:
If one piece is x cm
and there are 3 together, presumeabley the same length
then you'd just need to multiply the length 3 times, therefore 3x respresents multiplying x 3 times.
Have a good day!
Answer:
3x cm long
Step-by-step explanation:
3 times x is 3x
find the inverse function f(x)=1/2x+2
Answers
Answer:
y=2x-4
Step-by-step explanation:
f(x)=1/2x+2
y=1/2x+2
-----------------
x=1/2y+2
1/2y=x-2
y=2(x-2)
y=2x-4
Jorge has 2% + 1 saved in his piggy bank. Lou Ellen has X-2 saved in the bank. What is
the minimum amount Jorge will have in savings for them to have $163 together. Letj
represent Jorge,
Answers
Answer:
yeyeyeeyeyeeyeey
Step-by-step explanation:
Find the equation of the line.
Answers
the line go through 2 points ( -4 ; -5 ) and ( 6 ; 4 )
ANSWER: [tex]y=\frac{9}{10}x -\frac{7}{5}[/tex]
ok done. Thank to me :>
Problem 1
Jayden has $11 and begins saving $5 each week
towards buying a new phone. At the same time that
Jayden begins saving, Aditi has $60 and begins
spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of
money?
Yes
No
Answers
Answer:
I'm thinking its a no because the money is odd every time Jayden adds $5
Step-by-step explanation:
Jayden has [tex]\$11[/tex] and begins saving [tex]\$5[/tex] per week.
Aditi has [tex]\$60[/tex] and begins spending [tex]\$2[/tex] per week.
Have x denote the number of weeks and y indicate the quantity each person has. Therefore, according to the stated conditions, the maximum amount Jayden will have after x weeks will be,
[tex]\to y = 11+5x[/tex]
Aditi will have [tex]y= 60-2x[/tex] after x weeks. Therefore, the number of weeks in which they will each have the same amount will be calculated as,
[tex]11+5x=60-2x\\\\5x+2x=60-11\\\\7x=49\\\\x=\frac{49}{7}\\\\x=7[/tex]
As a result, after 7 weeks, Lin and Diego will have the same amount, which is [tex]\$46[/tex].
Learn more:
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-X + 2y= -3 and -8x — 3y= -5
Answers
Answer:
x=1, y=-1. (1, -1).
Step-by-step explanation:
-x+2y=-3
-8x-3y=-5
----------------
-8(-x+2y)=-8(-3)
-8x-3y=-5
------------------------
8x-16y=24
-8x-3y=-5
-----------------
-19y=19
y=19/-19
y=-1
-x+2(-1)=-3
-x-2=-3
-x=-3+2
-x=-1
x=1
(1, -1)
Answer:
x = 1, y = -1
or as an ordered pair, (1, -1).
Step-by-step explanation:
-x + 2y = -3
-8x — 3y = -5
Multiply first equation by -8:
8x - 16y = 24
Add this equation to the second equation:
-19y = 19
y = -1.
Plug y = -1 into the second equation:
-8x - 3(-1) = -5
-8x + 3 = -5
-8x = -8
x = 1.
What are the steps to convert a number from standard notation to scientific notation?
Answers
Answer:
Step-by-step explanation:
The goal in scientific notation is to express a value in terms of a number that contains a single unit before the decimal point.
Examples:
10000: 1.0 x 10^4
23456: 2.3456x10^4
In both cases, the x10^4 is telling us to multiply the first number by 10,000. 10^4 is the same as 10x10x10x10 = 10,000
The justification for scientific notation is that is makes expression large and small numbers much easier, as well as reduces errors due to an incorrectly placed decimal.
An example: Divide 2500000000 by 5000. That would normally require setting up a long-hand division problem that not only wastes paper and pencil, but is also prone to decimal point errors.
Do the same problem with scientific notation:
Count the places you want to move the decimal point backwards to just beyond the 5 in 2500000000. It takes nine steps to move the decimal point to between the 2 and 5: 2.5 followed by 8 zeros. That's a total of next steps to go in front of the 5. This is written 2.5 x 10^9
5000 is represented by 5.0x10^4
Now when we divide the same numbers, but in scientific format, it is easier to see the answer:
(2.5x10^9)/(5.0x10^4)
2.5/5 = 0.5
10^9/10^4 = 10^5 [The exponents are subtracted when dividing with exponents: 9-4 = 5]
Put them together to find the final answer: 0.5x10^5
Then move the decimal point one spot to the right and reduce the exponent by 1:
5.0x10^4
------
Add exponents when multiplying: 10^3 x 10^5 = 10^8 (3+5=8)
Subtract when dividing: 10^7/10^2 = 10^5 (7-2=5)
Multiply when there is an exponent raised to another exponent: (10^4)^3 = 10^12 (4x3 = 12)
PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
R=11cm, r=3cm
Step-by-step explanation:
π(R²-r²) = π(121-9) = 112π cm² = 35.63cm².
hope this helps you.
Write an EQUATION with an undefined slope:
Answers
Answer:
Example of an equation with an undefined slope: x = 2
Step-by-step explanation:
DefinitionsThe standard form of linear equations with an undefined slope is x = a, whose graph represents a vertical line. The value of a in the standard form is the x-intercept, (a, 0).
The slope is the ratio of the vertical change in y-values to the horizontal change in x-values.
[tex]\displaystyle\mathsf{Slope(m) =\:\frac{\triangle y}{\triangle x}\:=\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
The slope of a vertical line is undefined because if we were to solve its slope, the denominator will be zero. As we know, division by zero is an undefined operation.
Example:For example, suppose that we have the following points (2, 5) (2, 10).
Let (x₁, y₁) = (2, 5)
(x₂, y₂) = (2, 10)
Substitute these values into the slope formula:
[tex]\displaystyle\mathsf{Slope(m) =\:\frac{\triangle y}{\triangle x}\:=\frac{y_2 - y_1}{x_2 - x_1}\:=\:\frac{10\:-\:5}{2\:-\:2}\:=\frac{5}{0}}[/tex]
Dividing the numerator, 5, by the denominator, 0, will have an undefined quotient.
Thus, the equation of the vertical line will be: x = 2, where a = 2.
In his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has?
A. x + y = 16. 0.10 x + 0.25 y = 2.95.
B. x + y = 16. 0.05 x + 0.25 y = 2.95.
C. x + y = 2.95. 0.10 x + 0.25 y = 16.
D. x + y = 16. 0.01 x + 0.25 y = 2.95.
Answers
x=7
Answer:
A. x + y = 16; 0.10x + 0.25y = 2.95Step-by-step explanation:
Given:
Dime is $0.10, number of dimes is x, total of dimes = 0.10xQuarter is $0.25, number of quarters is y, total of quarters is 0.25yNumber of coins is 16:
x + y = 16Total amount is $2.95:
0.10x + 0.25y = 2.95Correct choice is A
Two plans for reaching a goal are given below. Plan A: Save $450 over the next 8 weeks by working 9 hours per week at $7. 20 per hour. Plan B: Save $450 over the next 6 weeks by working 15 hours per week at $6. 50 per hour. Which of the following is a true statement? a. Only plan A will work for achieving the goal. B. Only plan B will work for achieving the goal. C. Both plans will work for achieving the goal. D. Neither plan will work for achieving the goal.
Answers
Answer:
C, both plans will work for achieving the goal.
Step-by-step explanation:
For plan A, you must multiply 7.20 by 9, then multiply the product by 8. The answer is 526.4 This means that plan A will work, and more than the original goal will be saved up.
For plan B, you must multiply 6.50 by 15, then multiply the product by 6. The answer is 585. This is more than the original goal, so plan B would work as well.
This means that C is correct, because both plans will work for achieving the goal.
Answer:
C
Step-by-step explanation:
Edged 2022
1. Reduce the ratio to the simplest form:
a)5:10=_____.
b)60:54=____.
Answers
Answer:
1:2 by division of 5
10:9 by division of 6
B. 10:9
have a great day
simplify and factor if necessary
Answers
Hello there today we will solve your problem, we will need to factorize btw...
[tex]{\huge{\boxed{\mathfrak{Equation}}}[/tex]
[tex]{\big{\boxed{\frac{x^2-5x+4}{x^2-4x}}}}[/tex]
First we will factor [tex]x^2-5x+4[/tex], which gives us [tex]\left(x-1\right)\left(x-4\right)[/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{\left(x-1\right)\left(x-4\right)}{x^2-4x}\\[/tex]
factorize [tex]x^2-4x[/tex] giving us [tex]x\left(x-4\right)[/tex]
[tex]\frac{\left(x-1\right)\left(x-4\right)}{x\left(x-4\right)}[/tex]
cancel the common factor [tex]x-4[/tex]
and we get [tex]\frac{x-1}{x}[/tex]
quotient of 2 2/3 and 3 1/2
Answers
Answer:
16/21
Step-by-step explanation:
Autumn wants to invest $1000. The table below shows the value of her investment under two different options for three different years:
Number of years 1 2 3
Option 1 (amount in dollars) 1100 1200 1300
Option 2 (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your reasoning. (4 points)
Part B: Autumn wants to invest in an option that would help to increase her investment value by the greatest amount in 7 years. Will there be any significant difference in the value of Autumn's investment after 7 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 7 years for each option if the equation for option 1 is f(x)=100x + 1000 and the equation for option 2 is g(d) = 1000(1.1)d
Answers
Answer:
See belowStep-by-step explanation:
Part AAccording the table, the yearly amount increases by 100 dollars in option 1 and 1.1 times in option 2.
It means the function is linear in option 1 and exponential in option 2.
Part BCalculate the amount of total value in each case substituting x or d by 7 and compare the amounts:
f(7) = 100*7 + 1000 = $1700g(7) = 1000*(1.1)^7 = $1948.72 (rounded)As we see the option 2 is better choice and the difference is:
$1948.72 - $1700 = $248.72$765. 13 is deposited at the end of each month for 2 years in an account paying 12% interest compounded monthly. Find the amount of the account. Round your answer to the nearest cent. A. $18,911. 18 b. $19,873. 08 c. $20,638. 21 d. $21,403. 34.
Answers
The amount of the account which is also the principal is = $3,188
The formula for calculating the simple interest (I) of an account is = P × T × R / 100
Making P the subject of formula, P = 100 × I / T×R
Where,
T = 2 years
R = 12%
I = $765. 13
[tex]p = \frac{100 \times 765.13}{2 \times 12} [/tex]
[tex]p = \frac{76513}{24} [/tex]
p = $3,188
Therefore, the amount of the account which is also the principal is = $3,188
Learn more about simple interest here:
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Julian opened a college savings account. The amount of money in his account can be calculated using the function C(t) = 500(1.03)t, where t represents the time in years since the initial deposit. What does the value 500 represent in the function?
a
The amount of money in Julian's account after one year
b
The amount of interest Julian will earn each year
c
The amount of money for Julian's initial deposit
d
The maximum amount of money Julian can earn in his account
Answers
Answer:
C
Step-by-step explanation:
The value 500 represent the option C. The amount of money for Julian's initial deposit.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given that, Julian opened a college savings account.
The amount of money in his account can be calculated using the function,
C(t) = 500 (1.03)^t.
Here t is the time in years since the initial deposit.
When t = 0,
C(0) = 500 (1.03)^0
= 500 × 1 (since any number x⁰ = 1)
= 500
So the deposit at t = 0 means the initial deposit.
So 500 is the initial deposit.
Hence 500 represents the initial deposit amount.
Learn more about Exponential Functions here :
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please keep it simple.
Answers
Answer:
[tex]z^{2} +\frac{1}{2} +11z[/tex]
Step-by-step explanation:
→ Minus the z² terms
[tex]1\frac{1}{2} z^{2} -\frac{1}{2} z^{2}=1 z^{2}[/tex]
→ Minus the whole numbers
[tex]3\frac{1}{2} -3=\frac{1}{2}[/tex]
→ Add the z terms
11z
The table shows the relationship between the two variables. Which selection describes the relationship?
The table and options are below!
Answers
Answer:
D.
Step-by-step explanation:
It's not linear but it is decreasing.
Answer: Firstly, we take a look at the Y numbers to figure out if we're increasing or decreasing. Obviously, the numbers are going into the negatives so we know it's decreasing. After plotting the graph you'll see it's constant and in a straight line making it linear. So, your answer would be decreasing; linear.
can someone please help me with this one? I’ve been stuck on it for ages! Tysm if you do!! I appreciate it!
Answers
Answer:
50
110
90
=250
Step-by-step explanation: 90+50+110
I HOPE THIS HELPS
In the figure below, a tangent and a secant are drawn to a circle from exterior point E.
Suppose that EG = 13 and ED=26. Find CD.
Answers
Answer:
19.5 = CD
Step-by-step explanation:
The square of the tangent = (length of the secant)(the length of the outside part of the secant)
EG² = (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 = EC
Now ED = EC + CD
26 = 6.5 + CD
19.5 = CD
The value of the segment CD will be equal to 19.5.
What is secant and tangent?The relationship between the line segments produced by a secant and a tangent line and the corresponding circle is described by the tangent-secant theorem.
The square of the tangent = (length of the secant)(the length of the outside part of the secant)
It is given that In the figure below, a tangent and a secant are drawn to a circle from exterior point E. Suppose that EG = 13 and ED=26.
The value of the segment CD will be calculated as below:-
EG² = (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 = EC
Calculate CD.
ED = EC + CD
26 = 6.5 + CD
19.5 = CD
Therefore, the value of the segment CD will be equal to 19.5.
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