Answer:
1/5
Step-by-step explanation:
5^-1/5^0
=5^-1/1
=1/5
If 10-6 is 4, what is 14-9?
Answer:
14-9 would be 5.
I'm so confused. Please help,thanks!
Solve the equation for x.
3(6x - 1) = 12
Answer:
soln
18x-3=12
18x=15
so,x=5/6
The sum of three intergers is 242. The 2nd number is 3 more than twice the first and the 3rd number is 9 less than 5 times the first. Find the numbers
Answer:
31, 65, 146
Step-by-step explanation:
math
P and Q have coordinates (-2,3) and (5,4) respectively. Reflect P inthe X-axis to P' and Q in tha Y-axis to Q' .Find the distance between P'Q'.
Step-by-step explanation:
Hey, there!!
Let's simply work with it,
The given coordinates are, P(-2,3) and Q(5,4).
Now, finding the P' and Q'.
Reflection on x- axis .
P(x,y)---------> P' (x,-y)
P (-2,3)----------> P'(-2,-3)
Now, let's find Q'
Reflection on y-axis.
Q(x,y)----------> Q'(-x,y)
Q(5,4)---------> Q'(-5,4)
Now, The points are P'(-2,-3) and Q'(-5,4)
By distance formulae,
[tex]P'Q' = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
Putting their values,
[tex]P'Q' = \sqrt{( { - 5 + 2)}^{2}( {4 + 3)}^{2} } [/tex]
[tex]P'Q' = \sqrt{( { - 3)}^{2} + ( {7)}^{2} } [/tex]
Simplifying them we get,
[tex]pq = \sqrt{58} [/tex]
Therefore, the distance between P'and Q' is root under 58 units.
Hope it helps...
PLZZZ HELP!!! Why is it helpful to break down the total amount you would need to save on a monthly, weekly, or daily basis?
Answer:
it makes the goals easier to reach
Step-by-step explanation:
you dont want to say you need 1,000 dollars.. you would want to say you are going to save 5 dollars a week till you reach it.
5 benefits of breaking down ones periodic savings have been listed below.
Breaking down the amount one will need to save on a daily, weekly or monthly basis is simply called budgeting.
Now, budgeting is very important because it helps to do the following;
- Helps to ensure you spend money appropriately on things that you really need and not just wants.
- Helps you to effectively monitor your spending habits/patterns.
- Helps you to meet your financial goals.
- Helps you to make good decisions on things that involve finance.
- Helps you to monitor your progress in savings or interest as the case may be.
Read more at; brainly.com/question/22532334
If 8f + 7 - 2f = 16, what
is the value of 12 f + 1?
I need help
[tex]8f+7-2f=16\\6f=16-7\\6f=9\\f=\frac{9}{6}[/tex]
We know f, now we want the 12f+1
Therefore, Substitute f = 9/6 in 12f+1
[tex]12(\frac{9}{6})+1\\ = 2*9+1\\=18+1\\=19[/tex]
If you are wondering where 2*9 comes from, it comes from the 12(9/6) and 12 is divided by 6 then we get 2 and multiply the 9 as we get 2*9.
In the function f(x) = 4x -2, which of the following is the name of the function?
Answer:
The name of the function is linear function.
Step-by-step explanation:
A linear function is the function representing a straight line.
A linear function is used to define the relationship between a dependent variable and independent variable.
The general form of a linear function is:
y = m·x + c
Here,
y = dependent variable
x = independent variable
m = slope
c = intercept
The function provided is:
f (x) = 4·x - 2
The above function is similar to the linear function's general form.
The slope of the provided function is 4 and the intercept is -2.
Thus, the name of the function is linear function.
verbal expression for each algebraic expression 23f
A car is traveling at 60 mph and is tailgating another car at distance of only 30 ft. If the reaction time of the tailgater is 0.5 seconds ( time between seeing the brake lights of the car ahead flash and hitting the brake ), how far will his car travel during his reaction time ?
Answer:
44 ft
Step-by-step explanation:
We are given that;
Speed; v = 60 mph
Reaction time;t = 0.5 s
Now, we know that;
Distance = speed x time
Since time is in seconds, let's convert speed to mph to ft/s
From conversion,
1 mph = 1.46667 ft/s
So, 60 mph would give;
60 × 1.46667 ≈ 88 ft/s
Thus, distance his car travels during his reaction time is;
Distance = 88 × 0.5 = 44 ft
how?? help on 51. please! Thank you
Answer:
A is incorrect
Step-by-step explanation:
when you see -(- it makes the thing plus sign/positive
Between which two consecutive whole numbers does
[tex] \sqrt{75} [/tex]
lie? Fill out the sentence below to justify your answer and use your mouse to drag
[tex] \sqrt{75} [/tex]
to an approximately correct location on the number line.
WY bisects UV at Y. If
UY = 2x +1 and YV = x+7, find
UV.
Answer:
3x + 8
Step-by-step explanation:
Since, WY bisects UV at Y.
Therefore,
UV = UY + YV
UV = 2x + 1 + x + 7
UV = 2x + x + 1 + 7
UV = 3x + 8
The measure of length UV given that UY = 2x +1 and YV = x+7 is 3x + 8
To bisect a given line means to divide the line into two equal parts.
If WY bisects UV at Y, then:
UY + YV = UV and UY = YV
Given the following parameters:
UY = 2x +1
YV = x+7
Required
UV
Substitute the given parameters into the formula shown above:
2x + 1 + x + 7 = UV
Collect the like terms
2x + x + 1 + 7 UV
3x + 8 = UV
Swap
UV = 3x + 8
Hence the measure of length UV is 3x + 8
Learn more here: https://brainly.com/question/17430417
Solve the following systems using the substitution method.
Answer:
Step-by-step explanation:
Step-by-step explanation:
1).2x + 8y = 12 ......... Equation 1
x - 2y = 0 .............. Equation 2
Make x the subject in equation 2 and substitute it into equation 1
That's
x = 2y
We have
2(2y) + 8y = 12
4y + 8y = 12
12y = 12
Divide both sides by 12
y = 1
Substitute y = 1 into x = 2y
That's
x = 2(1)
x = 2
The answers are
x = 2 , y = 12.)x + y = 7......... Equation 1
2x + y = 5 ......... Equation 2
Make y the subject in equation 1 and substitute it into equation 2
We have
y = x - 7
2x + x - 7 = 5
3x = 7 + 5
3x = 12
Divide both sides by 3
x = 4
Substitute x = 4 into y = x - 7
y = 4 - 7
y = - 3
We have the answers as
x = 4 , y = - 33).y = -1/2 + 1 ......... Equation 1
2x + 3y = 6 ........ Equation 2
From equation 1
y = 1/2
Substitute y = 1/2 into Equation 2
So we have
2x + 3(1/2) = 6
2x + 3/2 = 6
2x = 6 - 3/2
2x = 9/2
Divide both sides by 2
x = 9/4
The answers are
x = 9/4 , y = 1/24).2x - 1/3y = - 9.......... Equation 1
-3x + y = 15 ........... Equation 2
Make y the subject in equation 2 and substitute it into equation 1
That's
y = 15 + 3x
2x - 1/3( 15 + 3x) = - 9
2x - 5 - x = - 9
x = - 9 + 5
x = - 4
Substitute x = - 4 into y = 15 + 3x
That's
y = 15 + 3(-4)
y = 15 - 12
y = 3
The answers are
x = - 4 , y = 3Hope this helps you
Divide $700 in the ratio 5:3:2 (S
Answer:
350:210:140
Step-by-step explanation:
5+3+2=10, so we need 10 equal parts
700÷10=70
5x70=350
3x70=210
2x70=140
350:210:140
Answer:
Explanation: 5:3:2 means 5+ 3+ 2 = $10 is devided into $5,$3,$2. Therefore $700 is divided in ratio (5:3:2) as 700 10 ⋅5 = $350, 700 10 ⋅ 3 = $210 and 700 10 ⋅ 2 = $140
How to study Math by yourself at home efficiently?
Answer:
Just do what you did in school
Step-by-step explanation:
Like example you did algebra exercise 1 2 and 3
do the same at home by yourself
Which of the following statements is false?
-|-5| = -5
-(-5) = 5
-|5| = -5
|-5| = -5
Simplify the Expression *
Answer:
16√3
Step-by-step explanation:
(4√6)(2√2)
4*2√6*2
8√12=8√4*3=8*2√3
16√3
what is the slope ? y + 6 = 3 (x + 1)
I hope this helps you
y+6=3x+3
y=3x-3
in formula m is y=mx+b
m=3
Answer:
3
Step-by-step explanation:
Slope is the coefficient of x, m in the form of y = mx + b
y + 6 = 3(x +1)y + 6 = 3x + 3y = 3x - 3Slope of this function is 3
What are the factors for x(5x+4)-(5x+4)
Answer:
(5 x + 4) (x - 1)
Step-by-step explanation:
Factor the following:
x (5 x + 4) - (5 x + 4)
Hint: | Pull a common factor out of x (5 x + 4) - (5 x + 4).
Factor 5 x + 4 out of x (5 x + 4) - (5 x + 4), resulting in (5 x + 4) (x - 1):
Answer: (5 x + 4) (x - 1)
8 \cdot 10^48⋅10 4 8, dot, 10, start superscript, 4, end superscript is how many times as large as 4\cdot10^{-5}4⋅10 −5 4, dot, 10, start superscript, minus, 5, end superscript?
Answer:
[tex]\bold{2\cdot10^9}[/tex]
Step-by-step explanation:
The given expression s are:
[tex]8 \cdot 10^4[/tex] and
[tex]4\cdot10^{-5}[/tex]
To find:
[tex]8 \cdot 10^4[/tex] is how many times as large as [tex]4\cdot10^{-5}[/tex].
Solution:
Let [tex]8 \cdot 10^4[/tex] is [tex]x[/tex] times as large as [tex]4\cdot10^{-5}[/tex].
So, we can say that:
[tex]8 \cdot 10^4[/tex] = [tex]4\cdot10^{-5}[/tex][tex]\times[/tex] [tex]x[/tex]
OR
[tex]x= \dfrac{8\cdot 10^4}{4\cdot 10^{-5}}[/tex]
Let us have a look at the formula for exponents:
[tex]\dfrac{x^p}{x^q} = x^{p-q}[/tex]
Here we have:
[tex]x=10\\p=4\ and\\q=-5[/tex]
Solving the expression using above formula:
[tex]\Rightarrow x= \dfrac{8}{4}\cdot 10^{4-(-5)}} = \bold{2\cdot10^9}[/tex]
So, Let [tex]8 \cdot 10^4[/tex] is [tex]\bold{2\cdot10^9}[/tex] times as large as [tex]4\cdot10^{-5}[/tex]
Answer: 5 is your answer!
Step-by-step explanation:
The length of a rectangle is 8 cm longer than twice the width. If the perimeter is 34 cm, find the dimensions of the rectangle.
Answer:
length = 14 cmwidth = 3 cmStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 34 cm
The statement
The length of a rectangle is 8 cm longer than twice the width is written as
l = 8 + 2w
Substitute this expression into the above formula and solve for the width
That's
34 = 2( 8 + 2w) + 2w
34 = 16 + 4w + 2w
6w = 18
Divide both sides by 6
w = 3
Substitute this value into l = 8 + 2w
That's
l = 8 + 2(3)
= 8 + 6
l = 14
The dimensions are
length = 14 cm
width = 3 cm
Hope this helps you
100 POINTS PLEASE PLEASE HELP I NEED THE ANSWER ASAPP ;(
Answer:
y < -1/4 x +1
Step-by-step explanation:
Find two points on the dotted line
( 0,1) and (4,0)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= (0-1)/(4-0)
= -1/4
The slope is -1/4
The y intercept is where it crosses the y axis or 1
The equation of the line, using slope intercept form
y = mx+b
y = -1/4x +1
The line is dotted which means there is no equals, just greater than or less than. It is shaded below which means less than
y < -1/4 x +1
Answer:
[tex]y<-\frac{1}{4}x+1[/tex]
Step-by-step explanation:
First, let's find the equation of the line.
From the graph, we can pick out two points to use: (0,1) (the y-intercept) and (4,0) (the x-intercept).
Find the slope. Let (0,1) be x₁ and y₁ and let (4,0) be x₂ and y₂
Find the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\frac{0-1}{4-0}\\m=-1/4[/tex]
Use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We already know the slope is -1/4 and the y-intercept is 1. So, substitute:
[tex]y=-\frac{1}{4}x+1[/tex]
Now, replace the equal sign with an inequality. Note that the line is dotted, so we won't use "or equal to." Also note that the blue, shaded area is below the line. Thus, we will use less than. Therefore:
[tex]y<-\frac{1}{4}x+1[/tex]
The sentences:
First, we picked out two points from the graph. Next, we used those two points to find the slope. We used the slope and one of the points to write our slope-intercept equation. Afterwards, we can determine from the graph that since the shaded area is below the dotted line, the equation must have a less than.
Identify the coefficient in the expression x + 4.
A x
B 1
C 0
D 4
Answer:
1
Step-by-step explanation:
The coefficient is the number in front of the variable. Since there is not a number written, there is an implied 1
x+4
1x+4
The coefficient is 1
Bags of sugar come in 3 sizes. Small bag: A 175 g bag costs 45p. Medium bag: A 420 g bag costs £1.13. Large bag: A 1.2 kg bag costs £2.99. Find the cost per gram for each bag of sugar. Round your answers to 3dp.
Answer:
a 3.889
b 3.735
c 4.013
Step-by-step explanation:
a. 45p is 0 175/45=3.889
b 420/113= 3.735
c1.2kg= 1200g /299 =4.013
/ means divide
alex is 61 inches tall. what is her height in feet ?
may you please show the equation that goes with it
Answer:
5 feet 1 inches
Step-by-step explanation:
if 1 foot is 12 inches.
Then, 60 ÷ 12
= 5
So, 61 inches tall = 5 feet 1 inches.
The answer is 5 feet 1 inches.
The Height of Alex in feet is 5.0833 feet.
To convert inches to feet, we divide the number of inches by 12 since there are 12 inches in 1 foot.
Let's denote the height of Alex in inches as H in and her height in feet as H ft.
H in = 61 inches
H ft = ?
The equation to convert inches to feet is:
H ft = H_ in / 12
Substituting the value of H in into the equation, we have:
H = 61/12
H ft ≈ 5.0833 feet
Therefore, Alex's height is 5.0833 feet.
Learn more about Unit Conversion here:
https://brainly.com/question/28600662
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find the slope of the line through (-4, 2) and (5,8) on a coordinate plane
Answer: m = 2/3
Step-by-step explanation: Use the slope formula to find the slope m.
: m = slope :
: slope of a line : m = rise/run = y2-y1/x2-x1 :
: (x1,y1) : coordinates of first point in the line :
: (x2,y2) : coordinates of second point in the line :
I hope this helps you out.
Answer:
Slope = 2 / 3
Step-by-step explanation:
Slope = (y2-y1) / (x2-x1)
y2 is the y coordinate of the second ordered pair and y1 is the y coordinate of the first ordered pair. x2 is the x coordinate of the second ordered pair and x1 is the x coordinate of the first ordered pair.
=(8-2) / (5+4)
= 6 / 9
Slope = 2 / 3
A bowl contained 28.2 grams of salt. Christine poured in another 57.04 grams. How much salt does the bowl contain now?
Answer:
85.24 grams
Step-by-step explanation:
28.2 + 57.04 = 85.24
Question 3
Round to the nearest tenth.
8.001 - (-3.4062) =
how do I solve this?
Answer:
17
Step-by-step explanation:
x^2 + 2y^2
Let x=3 and y =2
3^2 + 2 ( 2)^2
Exponents first
9 + 2* 4
Then multiply
9+8
Then add
17
Answer:
17
Step-by-step explanation:
● x^2 + 2y^2
Replace x by 3 and y by 2
● (3)^2 + 2×(2)^2
● 9 + 2 × 4
● 9 + 8
● 17