Answer:
4 to the power of 10.
Step-by-step explanation:
A rule is that x to the power of y + x to the power z of must equal x to the power of z+y.
Answer:
Option B
Step-by-step explanation:
4²×4^8
4^(2+8)
4^10
4 to the 10th power
How would you write The difference of 9 and the square of a number
Answer:
9 - n^2
Step-by-step explanation:
Answer: 9-x^2
Step-by-step explanation:
no work needed
Simplify: 5^(x+2)-4×5^x÷21×5^x
Answer:
(1/21)(21×5^(x+2)-4×5^2x)
Step-by-step explanation:
5^(x+2)-4×5^x÷21×5^x
= 5^(x+2)-4×5^2x/21
= 1/21(21×5^(x+2)-4×5^2x)
Approximate 0.007349 to 3 significant figures
Answer:
Hey there!
That would result in 0.00735.
Let me know if this helps :)
Hence, the significant figures are [tex]0.00735.[/tex]
What is the approximation?
An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding. A calculation can be approximated by rounding the values within it before performing the operations.
Here given that,
Approximate [tex]0.007349[/tex] to significant figures
So, the significant figures are [tex]0.00735.[/tex]
Hence, the significant figures are [tex]0.00735.[/tex]
To know more about the approximation
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Determine the intercepts of the line.
y= 10x - 32
y-intercept:
x-intercept:
Answer:
see below
Step-by-step explanation:
To find the x intercept set y =0 and solve for x
0= 10x - 32
32 = 10x
Divide by 10
3.2 = x
The x intercept
( 3.2,0)
To find the y intercept set x =0 and solve for y
y= 0 - 32
y = -32
( 0, -32)
Answer:
(0, -32)
(3.2, 0)
Step-by-step explanation:
The line is in slope intercept form. It is easy to identify the y-intercept.
[tex]y=mx+b[/tex]
The y-intercept is (0,-32). '-32' replaces the 'b' in the equation.
To find the x-intercept, set the value of 'y' to zero and solve for 'x'.
[tex]0=10x-32\\\\0 + 32 = 10x-32+32\\\\32=10x\\\\\frac{32}{10}=\frac{10x}{10}\\\\\frac{32}{10}=x\\\\\rightarrow \frac{32/2}{10/2}=\frac{16}{5}\\\\ \boxed{x=\frac{16}{5}}[/tex]
The x intercept is (16/5, 0).
This can also be expressed as (3.2, 0).
Hope this helps.
Repost because someone answered without actually giving an answer. What is the mode of the data shown in the table? Scores: 5 12 13 18 Frequency: 3 2 5 4 A. 12 B. 51.5 C. 12.5 D. 13
Answer:
Option (D) : 13
Step-by-step explanation:
Mode is the observation which occurred the most number of time.
Therefore, mode = 13
The Cartesian coordinate system can be applied to three-dimensional solids. Instead of two axes, the coordinate system has three. What are the labels? Check all that apply.
A. z
B. y
C. a
D. x
E. w
Answer:
its z y and x
Step-by-step explanation:
can i pls get brainliest
Which graph represents the given equation?
y
=
NICO
+ 4r – 2
Equations can be represented on graphs by plotting the corresponding x and y values. The graph of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex] is option (B).
Given that:
[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
First, we check the y intercept of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
This is when [tex]x = 0[/tex]
So, we have:
[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
[tex]y = \frac{3}{2} \times 0^2 + 4\times 0 - 2[/tex]
[tex]y = - 2[/tex]
This point is represented as: [tex](0,-2)[/tex]
Next, check the equation when [tex]x = 1[/tex]
So, we have:
[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
[tex]y = \frac{3}{2} \times 1^2 + 4\times 1 - 2[/tex]
[tex]y = 3.5[/tex]
This point is represented as: [tex](1,3.5)[/tex]
From the list of given options (see attachment).
Only graph B has the [tex](0,-2)[/tex] and [tex](1,3.5)[/tex] on its curve.
Hence, option (B) is correct.
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Answer:
Equations can be represented on graphs by plotting the corresponding x and y values. The graph of is option (B).
Step-by-step explanation:
y intercept is -2y = 3/2x^2 + 4x – 2y = 3/2(0^2) + 4(0) – 2 = -2and x intercepts are0 = 3/2x^2 + 4x – 2aboutx = 0.43050087, -3.09716754
The cost of milk is modeled by a linear equation where four quarts (one gallon) costs $3.09 while two quarts
(half-gallon) costs $1.65. Write the linear equation that expresses the price in terms of quarts. How much would
an eight-quart container of milk cost?
Answer:
linear equation to express the price is:
y=0.72x+0.21
An eight quarts will cost : $5.97
Step-by-step explanation:
linear equation represent y=mx+b
let x=quarts ( x=4, x=2)
y= price (3.09 and y=1.65 )
two points (4,3.09) and (2,1.65)
need to find the slope m:
y2-y1/x2-x1
(1.65-3.09)/(2-4) ⇒ m=0.72
y=0.72x+b find b at point (2,1.65)
1.65=0.72(2) +b ⇒ b=0.21
y=0.72x +0.21
check : point (4,3.09)
y=0.72(4) +0.21
y=3.09 ( correct)
An eight quarts will cost :
y=0.72(8)+0.21
y=5.97 dollars
Plz Help...............I’ll give you 50 pts
1. Essential Question How do you use what you know about absolute value to add integers?
2. Reasoning How can you tell the sign of the sum of a positive and negative integer without doing any calculations?
3. Model with Math How would you use a number line to determine the sum of two negative integers?
Do You Know How?
4. Sarah bought a bike that cost $260. She had a coupon that was worth $55 off the cost of any bike. Use the expression 260 + (-55) to find how much Sarah paid for her bike.
5. A shark is swimming 60 feet below the surface of the ocean. There is a fish that is 25 feet deeper in the water. Use the expression (-60) + (-25) to describe the fish’s location relative to the surface of the ocean.
60 feet
25 feet
6. The high temperature one day was 30°F. Then the temperature dropped 23 degrees during the night. Does the expression 30 + (-23) represent the temperature at night? Explain.
Answer:
1) I know that if the two integers have the same sign: Add their absolute values and give the answer the same sign as the two original integers. Also, I know that If the two integers have different signs: Subtract the lesser absolute value from the greater absolute value.
2) To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero.
3) First, draw a number line. Then, find the location of the first integer on the number line. Next, if the second integer is positive, move that many units to the right from the location of the first integer. If the second integer is negative, move that many units to the left from the location of the first integer.
4) 205 dollars
5) The fish’s location relative to the surface of the ocean is -85
6) Honestly, I'm not so sure about this now, but I believe yes.
Step-by-step explanation:
there are a lot of resources, here on this app, that i used to help answer your question. If I helped, it would be nice if you rated this brainliest, give 5 stars, and the 50 points :)
1) I know that if the two integers have the same sign: Add their absolute values and give the answer the same sign as the two original integers. Also, I know that If the two integers have different signs: Subtract the lesser absolute value from the greater absolute value.
2) To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero.
3) First, draw a number line. Then, find the location of the first integer on the number line. Next, if the second integer is positive, move that many units to the right from the location of the first integer. If the second integer is negative, move that many units to the left from the location of the first integer.
4) $205
5) The fish’s location relative to the surface of the ocean is -85 or -25 if the fish is 25 feet deeper from surface of ocean
6) Yes if both the temperatures are in Degree Fahrenheit
please click thanks and mark brainliest if you like :)
If f(x) = 2(x − 5), find f(8). 4 6 8 16
Answer:
f(8) = 6
Step-by-step explanation:
Plug in 8 as x in the function:
f(x) = 2(x − 5)
f(8) = 2(8 - 5)
f(8) = 2(3)
f(8) = 6
Answer:
[tex]\large \boxed{\mathrm{6}}[/tex]
Step-by-step explanation:
[tex]f(x)=2(x-5)[/tex]
Replace x with 8 to find f(8).
[tex]f(8)=2(8-5)[/tex]
Evaluate.
[tex]f(8)=2(3)[/tex]
[tex]f(8)=6[/tex]
take a square of arbitary measure assuming its area is one square unit.divide it in to four equal parts and shade one of them.again take one shaded part of that square and shade one fourth of it.repeat the same process continuously and find the sum area of shaded region
Answer:
In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.[1][2] The order of the magic square is the number of integers along one side (n), and the constant sum is called the magic constant. If the array includes just the positive integers {\displaystyle 1,2,...,n^{2}}{\displaystyle 1,2,...,n^{2}}, the magic square is said to be normal. Some authors take magic square to mean normal magic square.[3]
The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3
Magic squares that include repeated entries do not fall under this definition and are referred to as trivial. Some well-known examples, including the Sagrada Família magic square and the Parker square are trivial in this sense. When all the rows and columns but not both diagonals sum to the magic constant we have semimagic squares (sometimes called orthomagic squares).
The mathematical study of magic squares typically deals with its construction, classification, and enumeration. Although completely general methods for producing all the magic squares of all orders do not exist, historically three general techniques have been discovered: by bordering method, by making composite magic squares, and by adding two preliminary squares. There are also more specific strategies like the continuous enumeration method that reproduces specific patterns. Magic squares are generally classified according to their order n as: odd if n is odd, evenly even (also referred to as "doubly even") if n is a multiple of 4, oddly even (also known as "singly even") if n is any other even number. This classification is based on different techniques required to construct odd, evenly even, and oddly even squares. Beside this, depending on further properties, magic squares are also classified as associative magic squares, pandiagonal magic squares, most-perfect magic squares, and so on. More challengingly, attempts have also been made to classify all the magic squares of a given order as transformations of a smaller set of squares. Except for n ≤ 5, the enumeration of higher order magic squares is still an open challenge. The enumeration of most-perfect magic squares of any order was only accomplished in the late 20th century.
Magic squares have a long history, dating back to at least 190 BCE in China. At various times they have acquired occult or mythical significance, and have appeared as symbols in works of art. In modern times they have been generalized a number of ways, including using extra or different constraints, multiplying instead of adding cells, using alternate shapes or more than two dimensions, and replacing numbers with shapes and addition with geometric operations.
The sum area of shaded region is [tex]\frac{1}{3}[/tex].
Summation formula for geometric progressionThe formula to find the sum of infinite geometric progression is
[tex]S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1[/tex]
Given
S = [tex]\frac{1}{4} +\frac{1}{16} +\frac{1}{64} +.........[/tex]
Using geometric progression
S = [tex]\lim_{h \to \infty} [\frac{1}{4} +(\frac{1}{4} )^{2} +(\frac{1}{4} )^{3} +.........+(\frac{1}{4} )^{n}][/tex]
Using summation formula for geometric progression
[tex]S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1[/tex]
= [tex]\lim_{h \to \infty} \frac{\frac{1}{4} (1-(\frac{1}{4} )^{n} }{1-\frac{1}{4} }[/tex]
= [tex]\lim_{h \to \infty} \frac{\frac{1}{4} (1-\frac{1}{4^{n} }) }{\frac{3}{4} }[/tex]
= [tex]\lim_{h\to \infty} \frac{1}{3}(1-\frac{1}{4^{n} } )[/tex]
[tex]\lim_{h\to \infty} \frac{1}{4^{n} }[/tex] = 0
S = [tex]\frac{1}{3}(1-0) = \frac{1}{3}[/tex]
The sum area of shaded region is [tex]\frac{1}{3}[/tex].
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I need help. What is (-5/3)²
Answer:
Exact form:
25/9
Decimal form:
2.(7)
Mixed fraction form:
2 7/9
Step-by-step explanation:
Hope you found this helpful
Answer:
(-5/3)² = 25/9
Step-by-step explanation:
(a/b)ⁿ = aⁿ / bⁿ
(-5/3)² = -5² / 3² = 25 / 9
HELP HELP HELP Sally can paint a room in 4 hours. Joe can paint a room in 6 hours. How
long will it take if they paint the room together? I’m not sure if it’s 1.4
Answer:
2 hrs, 24 min
Step-by-step explanation:
Sally: in one hour, she can paint 1/4 of the room.
Joe: in one our, he can paint 1/6 of the room
Hour one: 1/4+1/6=3/12+2/12=5/12
1÷5/12=1*12/5=12/5
12/5= 2 & 2/5 hours, or 2.4 hours, or 2 hrs 24 minutes
Answer: 2.4 hours
Step-by-step explanation:
1/4 1/6
LCM
3/12+2/12=5/12 repricical 12/5 =2.4
Boston wheel chair marathon how long would it take to run a 30 mile race
What is the relationship between the area of ABCD and the area of EFGH? Quadrilateral ABCD with side measures 18 for AB, 24 for BC; quadrilateral EFGH with side measures 6 for EF, x for FG The ratio of the area of ABCD to the area of EFGH is 1:9. The ratio of the area of ABCD to the area of EFGH is 3:1. The ratio of the area of ABCD to the area of EFGH is 1:3. The ratio of the area of ABCD to the area of EFGH is 9:1.
Answer:
The ratio of the area of ABCD to the area of EFGH is 9:1.
Step-by-step explanation:
Let us assume that the shapes are rectangles and they are similar. If the two shapes are similar then their sides are in the same proportion. Therefore the ratio of the sides are in the same proportion.
[tex]\frac{AB}{BC}=\frac{EF}{FG}\\ \\\frac{18}{24}=\frac{6}{x}\\\\18x=24*6\\ \\x=\frac{24*6}{18}=8[/tex]
The area of ABCD = AB × BC = 18 × 24 = 432
The area of EFGH = EF × FG = 6 × 8 = 48
The ratio of the area of ABCD to the area of EFGH = Area of ABCD / Area of EFGH = 432 / 48 = 9/1 = 9 : 1
How many minutes will it take a caterpillar to go seven feet if it travels 24 inches per minute? To travel seven feet, it will take the caterpillar a0 minutes.
Answer:
3 and and half minutes--> 7ft
Step-by-step explanation:
If it travels 24 inches aka 2ft per minute
then it has to travel 12 inches aka 1ft in 30secs
SO
3mins and 30secs to travel 7ft
24inches--- 2ft---- per minute
4ft--- 2 mins
6ft---- 3mins
7ft--- 3minutes and 30 seconds
I need help on this During the spring, Nina Milling assembles bicycles at The Wheeler Dealer. She is paid $12.00 for each bicycle assembled during a regular work week, $14.00 for each bicycle assembled on a Saturday, and $16.00 for each bicycle assembled on a Sunday. What is her total pay for a week in which she assembled the following number of bicycles? Mon. Tues. Wed. Thurs. Fri. Sat. Sun. 4 7 6 10 8 4 5
Answer:
$556
Step-by-step explanation:
4+7+6+10+8=35
35x12=420
4x14=56
5x16=80
420+56+80=556
Answer:
$556.
Step-by-step explanation:
So she is paid $12 dollars for every bicycle assembled on a weekday,
paid $14 dollars for every bicycle assembled on Saturday, and is
paid $16 dollars for every bicycle assembled on Sunday.
She assembled 4 on Monday, 7 on Tuesday, 6 on Wednesday, 10 on Thursday, 8 on Friday, 4 on Saturday, and 5 on Sunday.
In other words, she assembled on total of 4+7+6+10+8=35 bicycles during the weekdays. And she assembled 4 on Saturday and 5 on Sunday.
In other words, her total pay is:
[tex]\$12(35)+\$14(4)+\$16(5)=\$556[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Edgar has test scores of 87, 92, 90, 84, 88, and 91. What is the lowest grade Edger can get on the next test to have an A average (90 or higher)?
A. 94
B. 96
C. 98
D. 100
Answer:
C. 98
Step-by-step explanation:
If you add all of his previous test scores and go through the list of numbers you get C.98 as the answer. I added all of his test scores plus 98 which equals 630 divided by 7 (because if he got a 98 there would be 7 test scores) you would get 90 or an A average.
=============================================================
Explanation:
Let x be the next test grade. It ranges from 0 to 100, inclusive of both endpoints.
The original set {87,92,90,84,88,91} becomes {87,92,90,84,88,91,x} after adding on that score.
We have 7 scores now. We find the average by adding up those seven scores and dividing by 7.
average = (sum of the scores)/(number of scores)
average = (87+92+90+84+88+91+x)/7
average = (532+x)/7
We want the average to be 90 or higher, so we would then have these steps
[tex]\text{average} \ge 90\\\\\frac{532+x}{7} \ge 90\\\\532+x \ge 90*7\\\\532+x \ge 630\\\\x \ge 630-532\\\\x \ge 98\\\\[/tex]
This means Edgar must score a 98 or higher on the seventh test in order for his overall average to be 90 or higher.
In other words, the lowest test score he can get is a 98.
------------------
Extra info (optional section):
Let's say Edgar gets the highest score possible.
So he gets x = 100
This would mean
average = (87+92+90+84+88+91+x)/7
average = (532+x)/7
average = (532+100)/7
average = 632/7
average = 90.2857 which is approximate
We can see that his overall average would stick to 90 if the teacher is rounding to the nearest whole number.
In the expression 3v - 8, what is the variable a= V b= - c= 3 d= 8
Answer:
a. v
Step-by-step explanation:
Given
[tex]3v - 8[/tex]
Required
Identify the variable
Literary, variable means things that change in values;
Going by this definition, we have that:
3 -> This is not a variable because its value will always be 3
v -> This is a variable because its value can change once its value changes, the result of the expression will also change
- -> This is not a variable; it is an arithmetic operator to subtract
8 -> This is not a variable because its value will always be 8
Take for instance
[tex]v = 2[/tex]
[tex]3v - 8 = 3 * 2 - 8 = 6 - 8 = -2[/tex]
When [tex]v =5[/tex]
[tex]3v - 8 = 3 * 5 - 8 = 15 - 8 = 7[/tex]
Notice that there's a difference in both results;
This is as a result of v being a variable
I need help! Answer as fast as you can. Marking brainlyiest
Answer:
A
Step-by-step explanation:
We can break down what each term represents in the equation
60 is the constant. This is the base price that is paid regardless of workers and hours needed
Then there is 12nh. 12 represents the cost per hour for one worker. If the job takes only one hour, then it is 12 dollars per worker. Similarly, if the job only takes one person, then it is 12 dollars for each hour.
The most accurate answer is A
Please please please help
Answer:
m = 4
Step-by-step explanation:
9/6=6/m
9m = 36
m = 4
Get this correct i will give u brainliest.
Answer:
x = - 2, y = - 8
Step-by-step explanation:
Given the 2 equations
13x - 6y = 22 → (1)
x = y + 6 → (2)
Substitute x = y + 6 into (1)
13(y + 6) - 6y = 22 ← distribute and simplify left side
13y + 78 - 6y = 22
7y + 78 = 22 ( subtract 78 from both sides )
7y = - 56 ( divide both sides by 7 )
y = - 8
Substitute y = - 8 into (2) and evaluate for x
x = - 8 + 6 = - 2
Thus x = - 2, y = - 8
LAST QUESTION TO MY SUMMER HOMEWORK PLEASE HELP 'BRAINLIEST i will give 25 POINTS at ONCE also its a simple question please answer it quickly I thank you very much and will answer a non math question if you would like.
Answer:
Step-by-step explanation:
here,
132 degree + 54 degree + x + 90 degree = 360 degree ( angles around a point)
therefore ,
x+ 276 degree =360 degree
x = 360-276
x= 84 degree
hope it helps and pls do mark my answer as the brainliest.............
I'm really confused with this plz help
Answer:
4 terms
constant 10
third term is -7z
coefficient of the second term is 3
Step-by-step explanation:
-5x+3y -7z +10
There are 4 terms, -5x, 3y ,-7x, 10
The constant is the term without the variable ( letter)
The constant is 10
The third term is -7z
The coefficient is the number in front of the variable
The coefficient of the second term 3y is 3
For part a, we are asked how many terms does this expression have.
Well a term can be a number, a variable, or it can
even be a number times one or more variables.
So the terms would be -5x, +3y, -7z, and +10.
For part b, we are asked what is the constant.
Usually, constants are numbers all by themselves.
So here, the constant would be 10.
In part c, we are asked what is the third term.
Well, looking at the expression, we can see that -7z is the third term.
Finally, what is the coefficient of the second term.
The coefficient is the number before your variable.
So here, the coefficient would be 3.
Solve the equation for x.
5x - ( 4x - 1) = 2
1
a.
C.
1
9
bi
b. - 1
d.
1
Answer:
x = 1
Step-by-step explanation:
5x - (4x - 1) = 2
Let's get rid of the parenthesis
Multiply whatever is in the parenthesis by -1 since there is a minus sign before it
5x - 4x + 1 = 2
Move common terms to one side, so subtract 1 from both sides
5x - 4x + 1 = 2
- 1 - 1
5x - 4x = 1
Subtract the 5x by 4x
x = 1
Answer:
x = 1
Step-by-step explanation:
5x - (4x - 1) = 2
5x - 4x + 1 = 2 {Distribute property (-1) is distributed with 4x and (-1)}
Combine like terms
x + 1 = 2
Subtract 1 from both sides
x = 2 - 1
x = 1
Solve for p.
–
19p–2p+16p+12=
–
18
p=
Answer:
6
BRAINLIEST, PLEASE!
Step-by-step explanation:
-19p - 2p + 16p + 12 = -18
-5p + 12 = -18
-5p = -30
p = 6
Answer:
p = 6
Step-by-step explanation:
Given
- 19p - 2p + 16p + 12 = - 18 ( simplify left side )
- 5p + 12 = - 18 ( subtract 12 from both sides )
- 5p = - 30 ( divide both sides by - 5 )
p = 6
Math nation section 2
Send the question?
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Solve for g.
-3+5+ 6g = 11 – 3g
g =
Answer:
g = 1
Step-by-step explanation:
-3 + 5 + 6g = 11 - 3g
Move the variables to one side and the numbers to the other:
9g = 9
Simplify:
g = 1
Answer:
g=1
Step-by-step explanation:
-3+5=2
2+6g=8
11-3g=8
makes sense that g will have to be 1
PlZ HELP NOW ASAP!!!
Answer:
x=33
Step-by-step explanation:
x for ?
sinx=opposite/hypotenuse
sinx=162.5/298=0.54530201
convert to degrees using arcsin(0.54530201)= 33.043
33 degrees rounded to the nearest ones
Using the Distributive Property to factorize the equation 3x2 + 24x = 0, you get
Answer:
3x(x+8)=0
x=0,-8
This is how to solve for x.