Answer:
-18 b^-4= -18/b^4
Step-by-step explanation:
-3b^4(6b^-8)
Combine coefficients
-3*6 = -18
Combine exponents since the bases are the same, x^y * x^z = x^(x+z)
b^4 *b^ -8
b^(4+-8)
b^ -4
Put back together
-18 b^-4
We also know that x^-y = 1/x^y
-18/b^4
Find the y-intercept of the following equation. Simplify your answer.
y = –3x − 1
y-intercept =
Answer:
[tex]y = - 1[/tex]
Step-by-step explanation:
on the y- intercept the value of x is zero
The library is 3.56 kilometers from Maria's house and 1.38 kilometers from Simon's house. How much farther does Maria live from the library than Simon?
Answer: 2.18 kilometres
Step-by-step explanation:
First we take down the information given to us
Maria's house to library (distance) = 3.56 km
Simon's house to library (distance) = 1.38 km
Now to get how farther Maria lived from the library compared to Simon, we subtract the distance between the library and Simon's house from the distance between the library and Maria's house
i.e
3.46km - 1.38km = 2.18km
there for Maria lived 2.18 kilometres farther from the library compared to Simon.
Here is a list of numbers 17 21 14 17 12 15 16 A) work out the range of the numbers B) work out the mean of the numbers in the list
Answer:
Given below
Range: 9
Mean: 16
Hope it helps:)
Step-by-step explanation:
The data is given in the question
Range-
All we need to do is find the difference between the largest data value in our set and the smallest data value. Stated succinctly we have the following formula:
Range = Maximum Value–Minimum Value
= 21- 12
= 9
Mean-
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. The formula is:
Sum of term/ number of terms = mean
= 17+21+14+17+12+15+16/7
= 112/7
= 16
The range and the mean of the given data are 9 and 16 respectively.
What is range?The range is the difference between the smallest and highest numbers in a list or set.
Given that, a data 17, 21, 14, 17, 12, 15, 16,
a) Range = The difference between the lowest and highest values
= 21-12
= 9
b) Mean = (sum of all data)/(number of data)
= (17+ 21+ 14+ 17+ 12+ 15+ 16)/7
= 112/7
= 16
Hence, The range and the mean of the given data are 9 and 16 respectively.
For more references on range, click;
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i’m really struggling someone help me
Answer:
Identity property of addition ( 3 + 5) + 0 = (3 + 5)
Associative Property of Multiplication [ 3(5) ](4) = (3)[ (5)4
Identity Property of Multiplication 5(1) = 5
Associative Property of Addition 3 + (5 + 7) = (3 + 5) + 7
Commutative Property of Addition 3 + 5 = 5 + 3
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below. Use the graph to complete each statement about this situation. The maximum profit the florist will earn from selling celebration bouquets is $___ . The florist will break-even after ______ one-dollar decreases. The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (___,____).
Answer:
First space: 15
Second space: 20
Third space: 0
Fourth space: 20
Step-by-step explanation:
If the florist decrease x times the value of the bouquet by 1, the number of bouquets sold is 30 plus 3 times x, so we have that:
P(x) = (20 - x)*(30+3x)
P(x) = 600 +30x - 3x2
The vertical axis of the graph represents the profit P(x) of the florist.
So observing the graph, we can see that the maximum profit is 675, and occurs when the value of x is 5, that is, the price of the bouquet is 20 - 5*1 = $15
Looking again to the graph, we see that when x = 20 her profit is zero (the price of each bouquet will be 20 - 20*1 = 0)
The interval of x for which the florist have a positive profit (P(x) > 0) is between x = -10 and x = 20, but the florist cannot make a negative number of one-dollar decrease, so the lower number in the interval should be 0.
Answer:
675
20
(0,20)
Step-by-step explanation:
The half-life a particular radioactive substance is 6 seconds. If you started with 50 grams of this substance, how much of it would remain after 30 seconds?
Answer:
1.5625g would remain after 30 seconds
Step-by-step explanation:
When we talk about half life, we are talking about the time taken for exactly half of the mass of the radioactive mass in question to have disintegrated.
More like, the amount of time it takes for the radioactive mass to have lost exactly half of its mass
Now, the half life of the substance in question is 6 seconds and we have to calculate the mass that would remain after 30 seconds. What this means is that we would have a disintegration of 5 times, meaning 5 half lives.
Since it is just 5 half lives, we can proceed manually
In the first, we shall have 25g left
in the second, we shall have 12.5g left
In the third, we shall have 6.25g left
In fourth, we shall have have 3.125g left
and finally, in the fifth, we shall have 1.5625g
find the missing number pleasee i really need help
1. 6x - ? = 6
2. 6x - ? = 4x - 10
find the missing number where the ? is at .
Answer:
1) -1
2) -6.66666666667
Step-by-step explanation:
brainiest pls
how many squares would have to be shaded so that 1/6 of the shape is shaded?
Answer:
3 squares
Step-by-step explanation:
The question given is not complete, the diagram of the shape is supposed to be attached. But I would provide you with a diagram and show you how to solve this type of problem.
The diagram of the shape is attached below. Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).
Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares
Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!
Answer:
y= (x^2-3) + 2
Step-by-step explanation:
It is plus two on the end to go up 2 on the y axis since the question says up two units and in the parenthesis is where you can move the start of and line, exponential line, or parabola to the left or to the right. When in the parenthesis, if you do however many x's and whatever exponent there is if you plus it will go into the negatives, ot left, and minus will go positive, or right. Therefore the answer is y= (x^2-3) +2.
BTW, when writing exponents, this: ^, is an exponent sign but working on certain platforms will allow you to write them like in the image, and if it can then you should write it like that.
Hope this helps!
How many seconds are in one day?
Answer:
86,400
Step-by-step explanation:
there are 60 seconds in a minute, there are 1440 minutes in a day. 1440×60= 86,400
// have a great day //
i’ve been stuck on this one
[tex]the \: right \: answer \: is \: of \: option \: a \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
What is the square root of -1
Answer:
i
Step-by-step explanation:
[tex]\sqrt{-1}[/tex] is the same thing as i, which is an imaginary number.
Since you can't take the square root of negative numbers, we use i to do it.
What is the product of: 2x(x-3) expressed as a sum or difference of terms
Answer:
2x^2 - 6x
Step-by-step explanation:
2x(x-3)
Distribute
2x*x -3*2x
2x^2 - 6x
Please please help me I’ve attached the question and I’m very confused
Answer:
y = 1/4 x -3
Step-by-step explanation:
The y intercept ( or where it crosses the y axis ) is -3
Pick 2 points to find the slope
(0,-3) and (4,-2)
The slope is
m = (y2-y1)/(x2-x1)
= (-2 --3)/ (4-0)
= (-2+3)/4
1/4
The slope intercept form of the equation is
y = mx+b where m is the slope and b is the y intercept
y = 1/4 x -3
A triangle has two sides that have a length of 4 cm.
Which answer choices list possible types of angles for this triangle? Select two that apply.
1 obtuse angle and 2 acute angles with different measures
3 obtuse angles with different measures
1 right angle and 2 acute angles with different measures
1 right angle and 2 acute angles with the same measure
1 obtuse angle and 2 acute angles with the same measure
3 acute angles with different measures
Answer:
3 acute angles with different measures and 1 right angle and 2 acute angles with same measures
15. If the point (5,k) lies on the line represented by the equation 2x + y = 9, the value of k is....
C) -1
D) -2
A and B where wrong. 15 points for whomever answers correctly
Answer:
The answer is C.
Step-by-step explanation:
Given that (5,k) lies on the line that has the equation of 2x + y = 9. So in order to find k, you have to substitute the coordinates into the equation :
[tex]2x + y = 9[/tex]
Let x = 5,
Let y = k,
[tex]2(5) + k = 9[/tex]
[tex]10 + k = 9[/tex]
[tex]k = 9 - 10[/tex]
[tex]k = - 1[/tex]
Please help... me with this problem
Answer:
no
Step-by-step explanation:
Use the vertical line test. A vertical line touches more than one point on the graph, so it is not a function
Write the equation of 4x+5t=20 in slope-intercept form
Answer:
y=(-4/5)x+4
Step-by-step explanation:
4x+5y=20
5y=-4x+20
y=(-4/5)x+4
Answer:
[tex]y=-\frac{4}{5}x +4[/tex]
Step-by-step explanation:
Recall that slope-intercept form is the following form: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
To get an equation into slope-intercept form, we just need to solve for y.
We begin with the equation [tex]4x+5y=20[/tex]. With this, we can solve for y to get our answer.
[tex]4x+5y=20\\\\5y=-4x+20\\\\y=-\frac{4}{5}x +\frac{20}{5} \\\\y=-\frac{4}{5}x +4[/tex]
What is the value of K?
O k = 28
Ok= 29
Ok= 31
Ok = 42
Answer:
k = 29
Step-by-step explanation:
The sum of the two angles is 180 since they form a straight line
5k-3 + 9+k = 180
Combine like terms
6k +6 = 180
Subtract 6 from each side
6k = 174
Divide each side by 6
6k/6 = 174/6
k =29
Answer:
k=29
Step-by-step explanation:
what is the estimate of 14.8(20.7)
Answer:
306.36 is the answer
Step-by-step explanation:
Answer:
306.36
Step-by-step explanation:
hope it helps! x
Can anyone help me solve this problem plz need need help asap!
Answer:
25
Step-by-step explanation:
(-5)^2+10(-5)(2)+25(2)^2
=25+(-100)+100
=25
why is, 9a is equivalent to 11a - 2a true ?
Answer:
9a is equivalent to 11a - 2a because 11a-2a is 9a.
Step-by-step explanation:
Use the x-intercept method to find all real solutions of the equation.
x^3- 7x2 + 7x + 15 = 0
a. X = -1, 3, or -5
b. x= 1, -3, or -5
c. X = -1, 3, or 5
d. X = 1, -3, or 5
the area of an equilateral triangle by 3√3 sq. meter when the length of each side increases by 1 meter. find the length of the side of the triangle.
Answer:
l = ( 2√3 + 1 ) m
Step-by-step explanation:
A = l²√3/4
3√3 = l²√3/4
12√3 = l²√3
l² = √12
l² = √2²·3
l = 2√3 m
when the length of each side increases by 1 meter
l = ( 2√3 + 1 ) m
Answer:
5.5 m
Step-by-step explanation:
note: it is assumed that the area increased by 3√3 sq. meter when length of each side increases by 1 meterThe area of equilateral triangle formula:
A=√3/4a²increased area:
√3/4(a+1)²= A + 3√3
√3/4a²+3√3= √3/4(a+1)² ========= (× 4/√3 each side)a²+12=a²+2a+12a=12-1a=11/2 ma=5.5 mFind any 6 ratinol numbers between -5/6 and 5/8
Answer:
There is a variety of answers. you will find an example below
Step-by-step explanation:
To find the rational numbers between 2 fractions/rational numbers, we have to find the LCM of the denominator, which would increase the value of the numerator. This way you will have more rational numbers between the two.
- 5/6 = -40 / 48
5 / 8 = 30 / 48
Now, we can notice that there is a difference of 70 between the 2. this means you may choose 6 out of these. Here is an example(some of them are simplified)
5/16, 5/8, 7/48 , 1/6 , 2/6, -1/2.
Hope this helps
Which expression is equivalent to 81^1/3?
33/3
3133
9313
273/3
Answer: 3 3√3
Step-by-step explanation:
81^1/3
=3√81
= 3 3√3
Determine the mean of the following set of numbers: 40, 61, 95, 79, 9, 50, 80, 63, 109, 42
Round to the nearest tenth place. The mean is
Step-by-step explanation:
work is shown and pictured
Can someone help me please
Answer:
so the answer is the third one
I need explanation and help me plz !!!!
Answer:
52
Step-by-step explanation:
There are a total of 380+240+110 people. (730)
0.52 are in stage 3.
0.33 in stage 2.
0.15 in stage 1.
52 people from stage 3 should be in the group.
The table represents the function f(x)=2x+1
Which value goes in the empty cell?
A.3
B.5
C.8
D.23
Answer:
5
Step-by-step explanation:
we want to find f(2)
f(x) = 2x+1
Let x=2
f(2)= 2*2+1
= 4+1
=5