Step-by-step explanation:
For parallel line:
slope of given line:
m=-1/2
Parallel lines have equall slopes:
required slope=-1/2
For perpendicular line:
m1×m2=-1
-1/2×m2=-1
m2=2
slope of perpendicular line=2
Note:if you need to ask any question please let me know.Select the variable for the number of miles traveled last month. Conduct a hypothesis test to determine whether the mean miles traveled last month equals 10,000. Use the .01 significance level. Find the p-value and explain what it means.
look it up dum dum this app got me a f+ >:(
Patrick is a loan officer at a bank. He has
$2,000,000 to lend out and has two loan programs.
His home equity loan is currently priced at 6% per
annum, and his unsecured personal loan is priced
at 14%. The bank president wants Patrick to earn
a rate of return of 12% on the $2,000,000 available.
How much should Patrick lend out at 6%?
Answer:
1,500,000 at 14% and 500,000 at 6%
Step-by-step explanation:
x + y = 2,000,000
.14x + .06y = 240,000
[tex]0.14x+0.06\left(2000000-x\right)=240000\quad :\quad x=1500000[/tex]
There are 1/3 pieces of pie left over on each
plate. How much pie is left over in total?
Answer:
3/3
Step-by-step explanation:
there are 3 plates and 1/3 on each plate is 3
1/3+1/3+1/3= 3/3
An entity can be divided in fractions or ratios. The total number of pie left over on N plates is [tex]\frac 13N[/tex]
Given that:
[tex]k = \frac13[/tex] --- the fraction left over
The total number of pie left over is
[tex]Total = \frac{1}{3} \times N[/tex]
Where N is the number of plates
So:
[tex]Total = \frac{1}{3} N[/tex]
For instance
If N is 6, the number of pie will be 2: i.e.
[tex]Total = \frac{1}{3} \times 6 = 2[/tex]
If N is 12, the number of pie will be 4: i.e.
[tex]Total = \frac{1}{3} \times 12 = 4[/tex]
Read more about fractions at:
https://brainly.com/question/1301963
Define intersection of a line
Answer:
perpendicular lines
Step-by-step explanation:
Two lines intersect when they cross each other. ... The point where the lines intersect is called the point of intersection. If the angles produced are all right angles, the lines are called perpendicular lines. If two lines never intersect, they are called parallel lines.
Answer:
When two or more lines cross each other in a plane, they are called intersecting lines.
Step-by-step explanation:
Use the rational exponent property to write an equivalent expression for
Step-by-step explanation:
the nth root can be written as exponent of 1/n.
so, we have here
[tex] {( {n}^{4} + 3) }^{ \frac{1}{5} } - 12[/tex]
When 59,527 is divided by 23, the quotient is 2,588 R ___.
Answer:
3
Step-by-step explanation:
When 59,527 is divided by 23, the quotient is 2,588 R3.
Hope this helps! :)
what is the standard deviation for city A and city B
Answer:
$0.8426
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.
John is building a rectangle pen for his sheep. The length of the pen is 5 more than 8 times the width of the pen
Answer:
if this is it the equation would be L = 8w + 5
In a well-shuffled, standard 52 card deck, what is the probability that a card is a Queen, given that it is a black card
Answer:
2/52
Step-by-step explanation:
Ms. Drew wants to build a square sand box with an area of 225 sq ft what is the lenght of woods she needs
A rectangular swimming pool with dimensions 12 meters by 18 meters is surrounded by a pavement of uniform width x meters. Find the area of the pavement, A, as a function of x.
9514 1404 393
Answer:
A = 4x² +60x
Step-by-step explanation:
The area of walkway along each of the sides is the product of side length and walk width x. The total for the four sides is ...
12x + 18x + 12x + 18x = 2x(12 +18) = 60x
There is a square of walkway at each corner whose dimensions are x by x, so the corner area is ...
4·x²
Then the total walkway area is ...
A = 4x² +60x
You are a mechanic who is measuring the valve clearance on a motorcycle engine. The current clearance for one of the valves is 0.30 millimeter (mm). The clearance should be at least 0.18 mm and no more than 0.22 mm. The valve clearance is set by using a spacer that reduces the distance between the cam and the valve by the size of the spacer. Spacers are available in 0.04 mm increments, and the spacer currently in the motorcycle engine is 2.84 mm. Which of the following size spacers, in millimeters, should you use to achieve a correct valve clearance?
The 0.2 mm spacers will be utilized in order to achieve the correct valve clearance.
What is the valve clearance of a motorcycle?On motorcycle and automobile engines, valve clearances essentially refer to the gap or distance between the top of the valve stem and the camshaft that controls it.
The exhaust valves in an automobile engine release the burned gases, while the intake valves permit air and fuel into the cylinder.
Given that:
The current clearance = 0.3 mmThe clearance range is between = 0.18 mm - 0.22 mmThe available spacer = 0.04 mm incrementsThe current spacer is = 2.84 mmThe difference in between the current and clearance range is:
0.3 mm - 0.18 mm = 0.12 mm0.3 mm - 0.22 mm =0.08 mmHowever, for clearance to be positioned within 0.18 mm - 0.22 mm. The required spacers to be used are 0.04 mm, and 0.08 mm in conjunction with:
Clearance 0.3 = 3.14Clearance 0.18 = 3.02Clearance 0.22 = 3.06The mean value = 3.04
Therefore, for us to approach and get to the value of 3.02, the required spacers to be that must be added are:
2.84+0.04 2.882.84+0.08 2.922.84+0.12 2.962.84+0.16 3.002.84+0.2 3.04Therefore, we can conclude that the 0.2 mm spacers will be utilized in order to achieve the correct valve clearance.
Learn more about valve clearance here:
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I give brainlist helPPPPPP
Answer:
Step-by-step explanation:
25.57, 123/5, 49/2, 241/10
If two dresses that are the same price cost $93.98 total, how much does one dress cost?
Answer:
$46.99
Step-by-step explanation:
Since both dresses that cost the same add up to a total price of $93.98, all you have to do is divide the total price by 2.
93.98/2=46.99
I have to calculate the lengths of all the triangles sides using pythagoras theorem
Answer:
√62 = 8
y = 8
√225 = 15
z = 15
Pythagoras theorem
a^2 + b^2 = c^2
in this case...
y^2 + z^2 = x^2
8^2 + 15^2 = √289
8^2 + 15^2 = 17
x= 17
The points A(− 7,-8) and B(18,-8) are the two vertices of an isosceles triangle ABC, where AB=BC. The equation of the perpendicular from B to AC is 4x+3y= 48, try to find the coordinates of point C
Really need some help with this, thank you very much.
Answer:
HOPE THIS ANSWER WILL HELP YOU
Simplify the power of i.
i78
A -1
B -i
C 1
D i
[tex]\\ \rm\longmapsto i^{78}[/tex]
Divide 78 by 4[tex]\\ \rm\longmapsto \dfrac{78}{4}[/tex]
[tex]\\ \rm\longmapsto \dfrac{39}{2}[/tex]
[tex]\\ \rm\longmapsto 19\dfrac{1}{2}[/tex]
Now
remainder is 2
[tex]\\ \rm\longmapsto i^2[/tex]
[tex]\\ \rm\longmapsto (\sqrt{-1})^2[/tex]
[tex]\\ \rm\longmapsto -1[/tex]
Hence
[tex]\\ \rm\longmapsto i^{78}=-1[/tex]
Keith earns $8.60 an hour and time-and-a-half for all hours over 40
hours. How much did he earn the week he worked 47.5 hours?
a. $344
b. $625.65
c. $109.65
d. $440.75
8.60 per hour x 40 hours = 344
Time and a half over 40 hours:
47.5-40 = 7.5 hours at time and a half:
7.5 x 8.60 x 1.5 = 96.75
Total pay : 344 + 96.75 = $440.75
Answer: d. $440.75
[tex]2^{4x + 14} = {64}^{x + 2} [/tex]
helpppppppppppppppp
[tex]\\ \rm\longmapsto 2^{4x+4}=64^{x+2}[/tex]
[tex]\\ \rm\longmapsto 2^{4x+4}=(2^6)^{x+2}[/tex]
[tex]\\ \rm\longmapsto 2^{4x+4}=2^{6(x+2)}[/tex]
[tex]\\ \rm\longmapsto 4x+4=6(x+2)[/tex]
[tex]\\ \rm\longmapsto 4x+4=6x+12[/tex]
[tex]\\ \rm\longmapsto 4-12=6x-4x[/tex]
[tex]\\ \rm\longmapsto -8=2x[/tex]
[tex]\\ \rm\longmapsto x=\dfrac{-8}{2}[/tex]
[tex]\\ \rm\longmapsto x=-4[/tex]
Answer:
x = 1
Step-by-step explanation:
[tex] {2}^{4x + 14} = {64}^{x + 2} [/tex]
➡️ [tex] {2}^{4x + 14} = ( {2}^{6} {)}^{x + 2} [/tex]
➡️ [tex] {2}^{4x + 14} = {2}^{6x + 12} [/tex]
➡️ [tex]4x + 14 = 6x + 12[/tex]
➡️ [tex]14 - 12 = 6x - 4x[/tex]
➡️ [tex]2x = 2[/tex]
➡️ [tex]x = 1[/tex]
why is 8/4 a natural number but 7/4 is not ?
Step-by-step explanation:
if we divide 8/4 then it comes 2 which is natural number but when we divide 7/4 it comes 1.75 which comes in points
Answer:
8/4=2 7/4=1.75
Step-by-step explanation:
Natural numbers are whole numbers ex: 1,2,3,4,700 etc. However 1.75 is not a whole number which is why it is not a natural number
Is the image an example of a ray?
B
A
Yes: AB has an endpoint and continues in one direction forever,
Yes: AB is one-dimensional.
No: AB continues forever in both directions.
No: AB has two endpoints.
Answer:
yes abis in 1 or more endpoint
Step-by-step explanation:
Please help will give brainliest
Solve the equation.
-(x + 2) – 2x = -2(x + 1)
x = [?]
Answer:
x = 0
Step-by-step explanation:
-(x + 2) – 2x = -2(x + 1)
-x-2-2x = -2x-2
-3x-2 = -2x-2
-3x+2x = -2+2
x = 0
Answer:
x = 0Step-by-step explanation:
-(x + 2) – 2x = -2(x + 1)
=> - x - 2 - 2x = -2x - 2
=> - 2 + 2 = - 2x + 2x + x
=> 0 = x or x = 0 (Ans)
Find (fog)(x) when f(x)=2/x+3 and g(x)=1/2x
Any help is appreciated :)
Answer:
1st option
Step-by-step explanation:
To find (f ￮ g)(x) substitute g(x) into f(x) , that is
f([tex]\frac{1}{2x}[/tex] )
= [tex]\frac{2}{\frac{1}{2x}+3 }[/tex]
= [tex]\frac{2}{\frac{1+6x}{2x} }[/tex]
= [tex]\frac{4x}{1+6x}[/tex]
Find three irrational numbers between
0.53 and 0.54
Answer:
Step-by-step explanation:
You could use anything that does not change the value of 3 in 0.53 or the 4 in 0.54
So for example
0.533
0.536
0.538
all would make the sentence above true.
Answer:
0,533(3); 0,53111(1); 0,53222(2)
Step-by-step explanation:
a is a number to find
0,53<a<0,54
=>a ∈ { 0,53111(1); 0,53122(2);....;0,5399(9)}
Use the number line to find a fraction that equals to 1/2
When g ( t ) = 3 t 2 + 2 t + 1 , evaluate g ( − 4 )
Answer:
Just substitue every 't' with -4
Step-by-step explanation:
g(-4) = 3*(-4)*(-4) + 2*(-4) + 1
g(-4) = 64-8+1
g(-4) = 57
Answer:
g(-4) is 41
Step-by-step explanation:
[tex]g(t) = 3 {t}^{2} + 2t + 1[/tex]
when t is -4, substitute -4 in place of t:
[tex]g( - 4) = 3 {( - 4)}^{2} + 2( - 4) + 1 \\ g( - 4) = 48 - 8 + 1 \\ g( - 4) = 41[/tex]
I would really appreciate if someone could help me with this and explain:)
Answer:
11
Step-by-step explanation:
The distance between -7 and 4 is 11. -6 stays the same. So we just either move up or down.
I don't exactly remember how to do this
Answer:
29 or D
Step-by-step explanation:
You square both sides to get
7 + y = 36
You then subtract 7 from both sides to get
y = 36 - 7
y = 29
pls help..
10 Round off 843 426 to the nearest thousand.
whats 40 euros to usd?
Answer:
47.06 United States Dollar
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
47.6 US DollarsHope it helpsThanks.