Answer:
573,626
Step-by-step explanation:
563626 + 10000 = 573626
4.5)38.7
What is the answer
Answer:
If adding, 43.2.
If subtracting, -34.2.
If multiplying, 174.15.
If dividing, 8.6.
Step-by-step explanation:
Addition: Line up and add.
Subtraction: Add the first number and opposite of the second. 4.5+(-38.7)=-34.2.
Multiplication: Multiply as normal, count up how many decimal places are in the factors (2), and add that to your answer, 174.15.
Division: Turn both number into whole numbers by multiplying by 10. Then divide 387/45= 8.6.
CAN EXPLAIN FURTHER
What is the simplest form of the ratio 11:16?
O A 1:6
OB. 5:8
Oc 11:16
OD 22:32
Answer:
11:16
Step-by-step explanation:
The ratio cannot be simplified any further.
Solve for x.
46
12x - 3
5x + 7
With draw angels
Answer:
12x-3=
Step-by-step explanation:
x=12+3
=15
=5×+7=
×=7-5
=2
5
To solve for x, one must understand the type of equation provided. Unfortunately, the original question does not provide clear context or an equation. Therefore, various methods such as algebraic manipulation, proportions, or the quadratic formula may be used to solve for x depending on the equation at hand.
Explanation:The information provided in the question seems fragmented and lacking context. To solve for x in algebra, one would typically rearrange the equation and isolate the variable x. Here are various ways that might be relevant:
For linear equations, you can divide or multiply both sides of the equation by a number to isolate x.
When dealing with proportions, like 12 inches/1 foot = x inches/3.5 feet, you would cross multiply to solve for x.
If given a quadratic equation such as ax² + bx + c = 0, you can use the quadratic formula to find the roots or solutions for x.
In cases where the provided information is insufficient, clarifying the original equation or context is essential to provide an accurate solution.
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A group of friends went to a hamburger bar 2\5 of them bought a hamburger 1\3 of them bought chips. The rest bought cola. What fraction of the group bought food? What fraction bought a drink?
Answer:
11/15 bought food and 4/15 bought a drink
Step-by-step explanation:
2/5 x 3 = 6/15 bought a hamburger
1/3 x 5 = 5/15 bought chips
6/15 + 5/15 = 11/15 bought food
11/15 - 15/15 = 4/15 bought a drink
Two lines extend from point S to create a right angle. The vertical line extends from point S through point R. The horizontal line extends right from point S through point T. A third line extends right and up from point S through point U. Which is another way to name AngleUST? AngleTSR AngleTSU AngleUSR AngleUTS
Answer:
Angle TSU
Step-by-step explanation:
Two lines extend from point S to create a right angle TSR, where the vertical line extends from point S through point R and the horizontal line extends right from point S through point T.
A third line extends right and up from point S through point U (see attached diagram for details).
Consider angle UST. We can name angles by using three capital letters like: UST. The middle letter is called the vertex of the angle. In your case, the vertex is at S. Two consecutive letters shows the rays which form the angle. In your case, SU (ray from S to U) and ST (ray from S to T) form the angle. If we consider rays ST and SU, then we get angle name TSU.
The way to name angle UST is the angle TSU.
Two lines extend from point S to create a right angle TSR, when the vertical line extends from point S through point R and the horizontal line extends right from point S through point T.
What is the meaning of the angle?A corner whether constituting a projecting part of a partially enclosed space.
A third line extends right and up from point S through point U (see attached diagram for details).
Consider angle UST.
We can name angles by using three capital letters like: UST.
The vertex of the angle is the middle letter.
In this case, the vertex is at S.
Two consecutive letters show the rays which form the angle.
In case, SU and ST form the angle.
We consider rays ST and SU, So we get the angle name UST.
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Describe the location of the sum, relative to p, on a number line
P+(-2)
Answer:
The location of the sum is 2 units before P (left to P)
Step-by-step explanation:
* Lets describe the number line
- A number line is a horizontal straight line with numbers placed at
an equal units
- A number line can be extended infinitely to the left and to the right
- A number line represents both positive and negative integers
- The numbers come on it from left to right
- The negative numbers come on the left of zero and the positive
numbers come on the right of zero
- Ex: -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 , 5 part of the numbers on the
number line
- To add numbers on the number line we start from first number of
the addition and if this number is added by a positive number we
go to right , if the number is added by a negative number
we go to left
- Ex: 5 + 3 ⇒ go from 5 to the right 3 units, then your position is at 8
2 + (-3) ⇒ go from 2 to the left 3 units then your position is at -1
* Now lets solve the problem
- The sum of P + (-2)
∵ Your location is P
∵ You will add P by (-2)
- Negative number means you go to the left
∴ Your position will be before P by two units
∴ The location of the sum is 2 units before P (left to P)
The sum of p + (-2) will always be located to the left of p on a number line.
To describe the location of the sum P+(−2) on a number line, you would start at the point represented by
P and then move 2 units to the left.
This is because adding a negative number is equivalent to moving to the left on the number line.
For example, if P is located at the number 5 on the number line, then
P+(−2) would be located at 5−2=3.
So, the sum is 3 units to the left of the point P on the number line.
Which shows the expression below in simplified form?
(8 × 10^6) × (4 × 10^-3)
A. 3.2 × 10^2
B. 3.2 × 10^5
C. 3.2 × 10^3
D. 3.2 × 10^4
Answer: C. 3.2 × 10^4
Step-by-step explanation:
for this case the multiplication of the values with exponent are summed, as the exponent are the 6 and -3
6 - 3 = 3
this will be the exponent of the common value which is the 10.
after you only need to multiply 8 and 4 by separate the
8 * 4 = 32.
then we only need to place the values one by one
32 × 10^3
3 is the result of the sum of the exponent.
10 is the common value.
32 is the result of the product.
if we add another zero to the multiplication we get 3.2 and exponent finish with one more zero, then we get this result
3.2 × 10^4
because of that the C is the correct answer, keep in mind that the other answers do not apply correctly the rule of the exponent, because the rest of answer give us wrong answer with final result of the exponent.
To simplify the expression (8 × 10^6) × (4 × 10^-^3) in scientific notation, we multiply the numbers (8 x 4) and add the exponents (6 + -3) resulting in 32 x 10^3. To represent the coefficient within the range of 1 and 10, we revise 32 as 3.2 x 10 yielding the answer 3.2 x 10^4.
Explanation:To answer the question, 'Which shows the expression below in simplified form? (8 × 10^6) × (4 × 10^-^3)', we need to understand the rules for multiplying numbers in scientific notation. To multiply two numbers in scientific notation, we multiply the coefficients (the numbers) first and separately add the powers of ten.
Here, the coefficients are 8 and 4 which multiply to give 32. The powers of ten are 10^6 and 10^-3. When multiplying powers of 10, we add the exponents, so 6 + -3 = 3. Therefore, the simplified form of the expression is 32 × 10^3. However, in scientific notation, we usually want the coefficient to be a number between 1 and 10. Therefore, we rewrite 32 as 3.2 x 10 to get the final answer: 3.2 x 10^4. So, the correct answer is option D. 3.2 x 10^4
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Which best describes the number 7?
Write prime or composite.
Answer:
he number 7 is a prime number because it can't be divided by any other other number
Step-by-step explanation:
Answer: Prime
Step-by-step explanation: To find out if 7 is a prime or composite number, we can begin by finding the factors of 7.
7 ÷ 1 = 7
This means that 1 and 7 are factors. Notice however that 7 does not divide evenly between 2, 3, 4, 5, or 6. The only other number that 7 divides by evenly is 7. When we divided 7 by 7, we get 1. Notice however that 7 and 1 are repeat factors so we can stop. This means that the factors of 7 are 1 and 7. When a number only has 2 factors, it's called a prime number. Therefore, 7 is considered a prime number.
if you deposit a check for $43.95 and $12.39 in cash, what is the total deposit amount?
Answer:
$56.34
Step-by-step explanation:
c(n)=−6+5(n−1) find the 8th term in the sequence
Answer:
Step-by-step explanation:
n = 8
c(n) = -6+5(n - 1)
c(8) = -6+5(8 - 1)
c(8) = -6+5( 7)
c(8) = -6+5(7)
c(8) = -6+35
c(8) = 29
============
Here is the series.
-6
-1
4
9
14
19
24
29
12 The cost of a telephone call is $0.60 for the first three minutes plus $0.17 for each additional minute. What is the greatest number of whole minutes the telephone call can be if the cost cannot exceed $2.50?
F 8
G 11
H 14
j 18
Answer:
H
Step-by-step explanation:
The total cost of the call is $2.50
Since the first three minutes cost $0.60
x minutes = $2.50 - $0.60
x minutes = $1.9
Each additional minutes cost $0.17
So: $1.9 / $0.17 = 11
To find the total minutes
$0.60 + $1.9 = $2.50
3 + 11 = total minutes
14 = total minutes
In the diagram, which angles are vertical angles? Select two options. AngleABE and AngleABC AngleABE and AngleCBD AngleABE and AngleEBD AngleABC and AngleEBD AngleABC and AngleCBD
Answer:
1. ABE and CBD
Notice that the vertex is B, so these two angles share the same vertex. Accordingly, these two angles are vertical angles.
2. ABC and EBD
The same reasoning is applied here. The vertex is also B. Notice that the angles CBD and ABD add up to 180 degrees.
Step-by-step explanation:
Vertical angles are a pair of opposite angles formed by intersecting lines. The pair of angles which are vertical angles are ∠ABE and ∠CBD.
What are vertical angles?Vertical angles are a pair of opposite angles formed by intersecting lines.
As we know about the vertical angles, it is formed by two intersecting lines as in the given figure below, therefore, the angles which are a pair of vertical angles are ∠ABE and ∠CBD.
Hence, the pair of angles which are vertical angles are ∠ABE and ∠CBD.
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The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?
The value of the comic book decreased by a total of $0.04 between m = 36 and m = 60.
The value of the comic book increased by a total of $0.04 between m = 36 and m = 60.
The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.
The value of the comic book increased by an average of $0.04 each month between m = 36 and m = 60.
Answer:
C. The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.
Step-by-step explanation:
The average rate of change for the function f(x) from [tex]x_1=a[/tex] and [tex]x_2=b[/tex] is
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
It is a measure of how much the function changed per unit, on average, over that interval.
Actually, this is the slope of the line passing through two points on the graph of the function.
If the average rate of change of the function f(x) between m = 36 and m = 60 is -0,04, it means that the value of the comic book decreased (because of negative number -0.04) by an average of $0.04 each month (a unit in this case is a month) between m = 36 and m = 60.
Answer:
C. The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.
Step-by-step explanation:
*PICTURE ATTACHED* please help
Answer:
Step-by-step explanation:
10^0=1
10^-3 = 1/10^3
4.0=4
so : 1.72×10^0/4.0×10^-3 = (1.72× 10^3)/4 =430
scientific notation is : 4.30× 10^2
6x + 5 = 27 , if x = 4
Answer: 0.93
Explanation: write out the problem and sub in 4, for "x". So it would look like this; 6 (4) + 5=27
6 (4)= 24, then add 5, which equals 29. so your next step would look like this; 29=27. Once you get this you want to divide each side by 29. The 29 cancels and 27/29 is equal to 0.93
g(x) = x-6
If the opposite of g(x) is -g(x),
then -g(x) =
Answer: The required expression for -g(x) is -x+6.
Step-by-step explanation: We are given the following function :
[tex]g(x)=x-6.[/tex]
Also, the opposite of g(x) is -g(x).
We are to find the expression for g(x).
According to the given information, we have
[tex]-g(x)\\\\=-(x-6)\\\\=-x+6.[/tex]
Thus, the required expression for -g(x) is -x+6.
Name each quadrant these points are in
1.(3,-1)
2.(-2,3)
3.(4.5,-3)
4.(-6,2.3)
Answer:
(3,1),(-2,3),(4.5,-3),(-6,2.3)
I need help with my daughter math homework this is the question Angela counts 18 people in canoes on the lake. There are 2 people in each canoe. How many cameos are in the lake?
Answer:
there are 9 canoes on the lake
Step-by-step explanation:
divide 18 by 2
Answer:
10
Step-by-step explanation:
you must divide the number of all the people for the number of the people who can stay on tbe canoes (18:2=9) then ypu should add angela couse she didn't count herself (9+1=10)
Joel can run around a 1/4 mi track in 72 sec and Jason can run around the track in 63 sec . If the runners start at the same spot and run in opposite directions how long will it take the runners to cover 1/4 mi?
Answer:
67.5 seconds
Step-by-step explanation:
I can run faster :D
Find the mean of the runner's speeds as (72 + 63)/2 = 67.5
The runners take 67.5 seconds to cover 1/4 mi if Joel can run around a 1/4 mi track in 72 sec and Jason can run around the track in 63 seconds.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Joel can run around a 1/4 mi track in 72 sec and Jason can run around the track in 63 seconds.
The runners start at the same spot and run in opposite directions.
The runner's speeds = (72 + 63)
The time they take = 135/2
The time they take = 67.5 seconds
Thus, the runners take 67.5 seconds to cover 1/4 mi if Joel can run around a 1/4 mi track in 72 sec and Jason can run around the track in 63 seconds.
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20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by the function f(d) = 1.11√d. Part a: determine f(2) and explain what it represents. Part B: The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}. What does this tell you about the basin. Part C: how long would it take a rock to drop from the rim to the bottom of the basin?
Answer:
Part a) [tex]f(2)=1.57\ sec[/tex]
It takes 1.57 seconds for an object to fall a distance of 2 feet
Part b) see the explanation
Part c) [tex]2,165.43\ sec[/tex]
Step-by-step explanation:
Let
f(d) -----> the time in seconds it takes for an object to fall
d -----> distance in feet
we have
[tex]f(d)=1.11\sqrt{d}[/tex]
Part a): Determine f(2) and explain what it represents
we know that
f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet
For [tex]d=2\ ft[/tex]
substitute in the function above and solve for f(2)
[tex]f(2)=1.11\sqrt{2}[/tex]
[tex]f(2)=1.57\ sec[/tex]
therefore
It takes 1.57 seconds for an object to fall a distance of 2 feet
Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}
What does this tell you about the basin?
The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft
so
The maximum height of the basin is 3,805,774 ft
Part c) How long would it take a rock to drop from the rim to the bottom of the basin?
we know that
The distance from the rim to the bottom of the basin is equal to the maximum height of the basin
so
[tex]d=3,805,774\ ft[/tex]
substitute the value of d in the function f(d)
[tex]f(d)=1.11\sqrt{3,805,774}[/tex]
[tex]f(d)=2,165.43\ sec[/tex]
The function f(d) = 1.11√d helps us find the time to fall a specific distance on the moon. It would take approximately 2 hours for a rock to fall from the highest point to the lowest point in the Imbrium Basin on the moon.
Explanation:The given function for time it takes for an object to fall on the moon is f(d) = 1.11√d. Here, d represents the distance the object falls.
Part A: To find f(2), we substitute d with 2 in the provided function, which gives us f(2) = 1.11√2 = 1.57 seconds (rounded to two decimal places). This represents the time it would take for an object to fall a distance of 2 feet on the moon.
Part B: The given domain {d|0 ≤ d ≤ 3805774} indicates the height variation in the Imbrium Basin on the moon, where 'd' represents the height in feet. The height could be any value between 0 feet (the lowest point) and 3805774 feet (the highest point), which is approximately 720 miles.
Part C: To find the time it would take for a rock to drop from the rim to the bottom of the basin in the given domain, we substitute the highest point, d = 3805774, into the function. So, f(3805774) = 1.11 √3805774 = 7317 seconds, which is approximately 2 hours.
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Suppose Kaitlin places $6500 in an account that pays 12% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year ?
(b) Find the amount in the account at the end of 2 years.?
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 1 year}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}[/tex]
[tex]\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 1}\implies A=6500(1.12)\implies A=7280 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 2 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]
[tex]\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 2}\implies A=6500(1.12)^2\implies A=8153.6[/tex]
Solve the equation by finding square roots
9x^2-12x+4=-3
square root of 3, √3
PLEASE HELP!!!
below is the graph of a system of two linear equations.
what system does it represent, and what is the solution of this system ?
Answer:
A
Step-by-step explanation:
You must first find a Y value and plug it into both equations and then plug the solution in then simplify to see if they equal each other or not. the one that equals to each other is the solution
The Kentucky Derby distance is
23 furlongs. How far is the Kentucky Derby in (a) rods? (b) fathoms?
Answer:
Part a) 920 rods
Part b) 2,530 fathoms
Step-by-step explanation:
we have that
The Kentucky Derby distance is 23 furlongs
Part a) How far is the Kentucky Derby in rods?
Remember that
[tex]1\ furlong= 40\ rods[/tex]
so
To convert furlongs to rods multiply by 40
[tex]23\ furlongs=23(40)=920\ rods[/tex]
Part b) How far is the Kentucky Derby in fathoms?
Remember that
[tex]1\ furlong= 110\ fathoms[/tex]
so
To convert furlongs to fathoms multiply by 110
[tex]23\ furlongs=23(110)=2,530\ fathoms[/tex]
Tickets to the country fair cost $8 for an adult and $5 for a child. If you have 15% discount card, how much will 2 adult tickets a d 2 child tickets cost?
Answer:
$22.10
Step-by-step explanation: Cost of tickets without discount $8×2+5×2=16+10=26
Cost with discount: 26× 100−15/100 = 26×85/100 = 2210/100 = 22.10.
Hope this helps :)
Rewrite using the
distributive property :
45 + 9
Answer: 9(5 + 1)
Step-by-step explanation:
Factor out the GCF (greatest common factor) of 45 and 9, which is 9.
[tex]9\bigg(\dfrac{45}{9}+\dfrac{9}{9}\bigg)\\\\\\=\large\boxed{9(5+1)}[/tex]
Translate the following phrase into an algebraic expression using the variable w. Do not simplify.
the perimeter of a rectangle if the width is w centimeters and the length is 8cm less than twice the width
Answer:
2 * ( [2w-8] + w)
Step-by-step explanation:
width = w
Length = 2w -8
Perimeter of Rectangle = 2 (l+b)
= 2 * ( [2w-8] + w)
-n+(-4)-(-4n)+6
solve
Answer:
3n + 2
Step-by-step explanation:
-n+(-4)-(-4n)+6
= -n -4 +4n +6 [positive plus negative = negative; ∴ +(-4) = -4
=4n - n +6 - 4 negative plus negative = positive; ∴ -(-4n) = 4]
now subtract n from 4n and subtract 4 from 6
=3n + 2
state the x and y intercepts of 4x-3y=-12
im confused on how to find it can someone please help.
Answer: X intercept= (-3,0) Y intercept= (0,4)
Step-by-step explanation:
Suri solved the equation x squared = 49 and found that x=7. What error did Suri make?
Answer:
x = [tex]\frac{+}{-}[/tex] 7
Step-by-step explanation:
[tex]x^{2}[/tex] = 49
[tex]\sqrt{49}[/tex] can equal 7 or -7
7 x 7 = 49. -7 x -7 = 49
Suri made the error of only finding one solution for the equation x squared = 49. The correct solutions are x = 7 and x = -7.
Explanation:Suri made an error when solving the equation x squared = 49 by only finding one value for x. In fact, there are two solutions to this equation, as the square root of 49 can be both positive and negative. So the correct solutions are x = 7 and x = -7.
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