A motorbike covers the first 25km in 2 hours next 30 km in 3 hours and the remaining 35 km in 4 hours. Find the average speed of the motorbike
Answer:
10km per hour
Step-by-step explanation:
Distance = speed * time
speed = distance/time
------------------------
Distance traveled
25 + 30 + 35 = 90 km
Time
2 + 3 + 4 = 9 hours
Average peed
90/9 = 10km per hour
Please help show the steps
Please put 15 years old
Answer:
P = $98.77
Step-by-step explanation:
FV = p (1+i)^n -1
i
pv = 700,000
i = .075/12 = .00625
n = (66 - 15)* 12 = 612
700,000 = P (( 1 + .00625)^ 612 -1 /.00625
4375 = P (1.00625)^612 -1)
P = $98.77
Answer:
page 1:
51 years
$98.78
639546.64 (i think)
Page 2:
213 months
17.8 years
321 months
26.8 years
1128.9 months
88.8 years
I would probably choose the second plan because it's rather unlikely that i live past 90
Step-by-step explanation:
page 1
Let's assume the payments are at the end of the month
66-15= 51 years
effective rate: .075/12=.00625
[tex]700000=x\frac{(1+.00625)^{51*12}-1}{.00625}\\x=98.77973387[/tex]
which i guess we can round to 98.78
700000-98.78*(51*12)= 639546.64
This number is really really high and so maybe you want to double check it
page 2
effective rate: .051/12=.00425
[tex]700000=5000\frac{1-(1+.00425)^{-n}}{.00425}\\.405=(1+.00425)^{-n}\\log_{1.00425}.405=-n\\n=213[/tex]
213 months
213/12= 17.8 years
[tex]700000=4000\frac{1-(1+.00425)^{-n}}{.00425}\\.25625=(1.00425)^{-n}\\log_{1.00425}.25625\\n=321[/tex]
321 months
321/12=26.8 years
[tex]700000=3000\frac{1-(1+.00425)^{-n}}{.00425}\\.008333333=(1.0045)^{-n}\\log_{1.0045}.00833333=-n\\n=1128.9[/tex]
1128.9 months
1128.9/12= 94.1 years
1066 months
1066/12= 88.8 years
how to factor z²-4z+4
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ({ \: z - 2 \: })^{2} \: }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {z}^{2} - 4z + 4[/tex]
[tex] = {z}^{2} - 2z - 2z + 4[/tex]
Taking "[tex]z[/tex]" as common from first two terms and "[tex]2[/tex]" from last two terms, we have
[tex] = z \: ( \: z - 2 \: ) - 2 \: ( \: z - 2 \: )[/tex]
Taking the factor [tex](z-2)[/tex] as common,
[tex] = ( \: z - 2 \: )( \: z - 2 \: )[/tex]
[tex] = {( \: z - 2 \: )}^{1 + 1} [/tex]
[tex] = ({ \: z - 2 \: })^{2} [/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35❦}}}}}[/tex]
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
If the diameter of the circle shown below is 6ft and 0 is a right angle, what is the length of segment AB to the nearest foot?
Multiple choice!
Thank you!
Answer:
how old are you gghhjjzetstu9u
Answer:
4 ft
Step-by-step explanation:
let's find radius first
radius=diameter/2
=6/2
=3 ft
radii=3 ft
Now by using pythagoras theorem
a^2 + b^2 = c^2
3^2 + 3^2 =AB^2
9+9=AB^2
18=AB^2
[tex]\sqrt{18}[/tex] AB
4.24 =AB
4 ft =AB (after converting to nearest foot)
Which of these statements is correct? The system of linear equations 6 x minus 5 y = 8 and 12 x minus 10 y = 16 has no solution. The system of linear equations 7 x + 2 y = 6 and 14 x + 4 y = 16 has an infinite number of solutions. The system of linear equations 8 x minus 3 y = 10 and 16 x minus 6 y = 22 has no solution. The system of linear equations 9 x + 6 y = 14 and 18 x + 12 y = 26 has an infinite number of solutions
Answer:
The only true statement is:
"The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution."
Step-by-step explanation:
First, some definitions.
A system of linear equations has infinite solutions if both equations define the same line, has no solutions if we have two parallel lines, has one solution in all the other cases.
Where two lines are parallel if we can write them as:
a*x + b*y = c
a*x + b*y = d
where c and d are different numbers.
Now we can analyze the given statements:
a)
6x - 5y = 8
12x - 10y = 16
has no solution?
If we divide both sides of the second equation by 2, we get:
(12x - 10y)/2 = 16/2
6x - 5y = 8
We get the first equation, then both equations define the same line, thus the system has infinite solutions, then the statement is false.
b)
7x + 2y = 6
14x + 4y = 16
has infinite solutions?
Let's divide the second equation by 2, then we get:
(14x + 4y)/2 = 16/2
7x + 2y = 8
If we rewrite our system of equations, we get:
7x + 2y = 6
7x + 2y = 8
These are parallel lines, thus, this system has no solutions.
So the statement is false.
c)
8x - 3y = 10
16x - 6y = 22
has no solution?
Again, let's divide the second equation by 2 to get:
(16x - 6y)/2 = 22/2
8x - 3y = 11
If we rewrite our system:
8x - 3y = 10
8x - 3y = 11
These are parallel lines, thus the system has no solutions, so this statement is correct.
d)
9x + 6y = 14
18x + 12y = 26
Has infinite solutions?
Dividing the second equation by 2 we get:
(18x + 12y)/2 = 26/2
9x + 6y = 13
So the equations are different (are parallel lines again) so this system has not infinite solutions.
Then the statement is false.
Answer:
The answer to your question is the third choice.
Step-by-step explanation:
a) 6x - 5y = 8
12x - 10y = 16
We observe that these lines are the same so they have infinite solutions.
b)
7x + 2y = 6
14x + 4y = 16
These lines are parallel because they have the same slope, so they do not cross, there is no solution.
c)
8x - 3y = 10
16x - 6y = 22
These lines are parallel because they have the same slope, so they do not cross, there is no solution.
d)
9x + 6y = 14
18x + 12y = 26
These lines are parallel because they have the same slope, so they do not cross, they do not have an infinite number of solutions.
SOMEONE HELP ME PLEASE
find the real fifth root of -32
Answer: -2
This is because (-2)^5 = -32. Applying the fifth root to both sides lets us say [tex]-2 = \sqrt[5]{-32}[/tex]
There are four other roots but they are complex. Effectively, we are solving the equation [tex]x^5 + 32 = 0[/tex]
Solve for X in the triangle. Round your answer to the nearest tenth
Answer:
[tex]\displaystyle x \approx 9.9[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 64°
Opposite Leg = x
Hypotenuse = 11
Step 2: Solve for x
Substitute in variables [sine]: [tex]\displaystyle sin(64^\circ) = \frac{x}{11}[/tex][Multiplication Property of Equality] Multiply 11 on both sides: [tex]\displaystyle 11sin(64^\circ) = x[/tex]Rewrite: [tex]\displaystyle x = 11sin(64^\circ)[/tex]Evaluate: [tex]\displaystyle x = 9.88673[/tex]Round: [tex]\displaystyle x \approx 9.9[/tex]Oliver is building a rectangular dog pen with an area of 18.9 square feet. If the length of the dog pen is 6.3 feet, what is the width?
Answer:
3 feet
Step-by-step explanation:
A = l x w Formula
18.9 = 6.3 x w Substitution
18.9/6.3 = w Division
3 = w Solution
Name a fraction between 3.43 and 3.44
7/16 = 0.4375
3.4375 is between 3.43 and 3.44
The answer: 3 and 7/16
The endpoints of DEF are D(1, 4) and F(16, 14).
Determine and state the coordinates of point E, if
DE: EF = 2:3.
Answer:
The coordinates of point E are (7,8).
Step-by-step explanation:
Point E:
Is given by (x,y).
DE: EF = 2:3.
This means that, for both coordinates x and y:
[tex]E - D = \frac{2}{2+3}(F-D)[/tex]
[tex]E - D = \frac{2}{5}(F-D)[/tex]
x-coordinate:
x-coordinate of D: 1
x-coordinate of F: 16
[tex]E - D = \frac{2}{5}(F-D)[/tex]
[tex]x - 1 = \frac{2}{5}(16-1)[/tex]
[tex]x - 1 = 2*3[/tex]
[tex]x = 7[/tex]
y-coordiante:
y-coordinate of D: 4
y-coordinate of F: 14
[tex]E - D = \frac{2}{5}(F-D)[/tex]
[tex]y - 4 = \frac{2}{5}(14-4)[/tex]
[tex]y - 4 = 2*2[/tex]
[tex]x = 8[/tex]
The coordinates of point E are (7,8).
A company ordered 21 printers and 33 computers at a total cost of $22,530. Another
order of 28 printers and 36 computers cost $25,800. Find the cost of each printer and
each computer,
Answer:
The cost per printer is $240 and the cost per computer is $530
Explanation:
Make the equation from both parts of the problem and solve them.
Find z such that 97.5% of the standard normal curve lies to the left of z. (Enter a number. Round your answer to two decimal places.)
Answer:
z=1.96
Step-by-step explanation:
Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.
(above value obtained from R)
Use the graph to answer the question.
What is [tex]\frac{AD}{AB}[/tex] in simplest form?
A. [tex]\frac{10}{3}[/tex]
B. [tex]\frac{1}{3}[/tex]
C. [tex]\frac{17}{5}[/tex]
D. 3
Answer:
D. 3
Step-by-step explanation:
Distance between A and D = AD = 9 units
Distance between A and B = AB = 3 units
[tex] \frac{AD}{AB} = \frac{9}{3} [/tex]
Simplify by dividing
[tex] \frac{AD}{AB} = \frac{3}{1} [/tex]
[tex] \frac{AD}{AB} = 3 [/tex]
The answer is 3
PLEASE HALP MEEEEEEeeeee
Answer:
try me
Step-by-step explanation:
try these nuts
Answer:
lol
Step-by-step explanation:
The number of adults who attend a music festival, measured in hundreds of people, is represented by the function a(d)=−0.3d2+3d+10, where d is the number of days since the festival opened.
The number of teenagers who attend the same music festival, measured in hundreds of people, is represented by the function t(d)=−0.2d2+4d+12, where d is the number of days since the festival opened.
What function, f(d) , can be used to determine how many more teenagers than adults attend the festival on any day?
f(d)=−0.1d2+d+22
f(d)=0.1d2+d+2
f(d)=−0.1d2+7d+2
f(d)=0.1d2+7d+2
Answer:
f(d)=0.1d^2+d+2
Step-by-step explanation:
t(d)=−0.2d2+4d+12
a(d)=−0.3d2+3d+10
how many more teenagers than adults attend the festival on any day?
==>
f(d) = t(d) - a(d)
=0.1d^2+d+2
A
2x+5
x² + 5x + 6
x² + 5x+6
B
2x+5
Answer:
what is the question?
Step-by-step explanation:
answer the question
Will mark brainliest! Problem is in pic below, no links please. Thanks.
Answer:
0.6
Step-by-step explanation:
The third side of the triangle ABC is AB. Using the Pythagorean Theorem, its length is 12. [tex]12^{2} +16^2=20^2[/tex]
∠F is congruent to ∠C and so the sin(∠F) = sin(∠C)
The sin(∠C) = opposite/hypotenuse
= |AB| / |AC|
= 12/20
= 3/5
= 0.6
so the answer is 0.6
PLS HELP! If m(x) = 2x3 – 3x + 12, what is the value of m(-2)?
Answer:
[tex]m(x) = 2 {x}^{3} - 3x + 12 \\ m( - 2) = 2 {( - 2)}^{3} - 3( - 2) + 12 \\ = 2[/tex]
Can someone help me solve this please
What is the zero of the function represented by this graph?
X Y
-10 2
-15 3
-25 5
Determine whether y varies directly with x. If so, find the constant of variation and write the equation
Answer:
x = -5y
Step-by-step explanation:
x = ay
-10 = 2a
a = -5
x = ay
-15 = 3a
a = -5
x = ay
-25 = 5a
a = -5
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y2(y2 − 4) = x2(x2 − 5) (0, −2) (devil's curve)
Answer:
Step-by-step explanation:
Given that:
[tex]y^2 (y^2-4) = x^2(x^2 -5)[/tex]
at point (0, -2)
[tex]\implies y^4 -4y^2 = x^4 -5x^2[/tex]
Taking the differential from the equation above with respect to x;
[tex]4y^3 \dfrac{dy}{dx}-8y \dfrac{dy}{dx}= 4x^3 -10x[/tex]
Collect like terms
[tex](4y^3 -8y)\dfrac{dy}{dx}= 4x^3 -10x[/tex]
[tex]\dfrac{dy}{dx}= \dfrac{4x^3 -10x}{4y^3-8y}[/tex]
Hence, the slope of the tangent line m can be said to be:
[tex]\dfrac{dy}{dx}= \dfrac{4x^3 -10x}{4y^3-8y}[/tex]
At point (0,-2)
[tex]\dfrac{dy}{dx}= \dfrac{4(0)^3 -10(0)}{4(-2)^3-8-(2)}[/tex]
[tex]\dfrac{dy}{dx}= \dfrac{0 -0}{4(-8)+16}[/tex]
[tex]\dfrac{dy}{dx}= 0[/tex]
m = 0
So, we now have the equation of the tangent line with slope m = 0 moving through the point (x, y) = (0, -2) to be:
(y - y₁ = m(x - x₁))
y + 2 = 0(x - 0)
y + 2 = 0
y = -2
Which line is parallel to line CD in this figure?
line FA
line FC
line AD
A figure with 4 lines. Line A F is the same distance from line C D at every point. Line A D intersects line A F at point A and line C D at point D. Line F C intersects line A F at point F and line C D at point C.
The line that is parallel to line CD in the figure is A. Line FA
From the provided information, line FA is the same distance from line CD at every point, meaning that these lines are parallel.
What do parallel lines mean?Parallel lines are lines on a flat surface that never meet or cross each other.
When two lines are straight from beginning to end, they are parallel. Their distance is always the same at all points.
Some properties of parallel lines include:
Their corresponding angles are equal.The interior angles are also equal when another line cuts across them.From the given figure, we can see that FA||CD.
Learn more about parallel lines at brainly.com/question/30195834
#SPJ1
Sum of 5x^2+2x and 4-x^2
Answer:
4x^2 + 2x + 4
Step-by-step explanation:
5x^2 + 2x + 4 - x^2
4x^2 + 2x + 4
Answer:
2(2x^2 + x + 2)
Step-by-step explanation:
5x^2+2x + 4-x^2
Re arrange so like terms are next to each other
Keep the same symbol that is at the front of the term when moving it
5x^2 - x^2 + 2x + 4
We will just do the first part first
5x^2 - x^2
5x^2 - 1x^2 (is the same thing as above)
So because they are like terms (are both x^2)
We can just minus 1 from 5
5-1=4
So 4x^2
Now the equation is
4x^2 + 2x + 4
This is as small as it gets but you can also bring it to this
4, 2 and 4 all are divisible by 2 so
2(2x^2 + x + 2)
GIVING BRAINLIEST!!!!!!
Answer:
B-2
Step-by-step explanation:
To find the constant of dilation take the lead of EF and divide it by the length of AB to get (6/3)=2
Find the surface area of each solid figure
Answer:
First find the SA of the triangular figure
4 x 3 = 12 cm^2 (the triangles on the sides)
2 x 3 = 6 cm^2 (the back square)
2 x 5 = 10 cm^2 (the slanted square)
*I'm not sure if this question includes the bottom of the triangle but here it is anyways
4 x 2 = 8 cm^2
Including the bottom the SA of the triangular figure is:
12 + 6 + 10 + 8 = 36 cm^2
Find the SA of the rectangular shape
4 x 2 = 8 cm^2 (the bottom square)
2 x 6 = 12 x 2 = 24 cm^2 (the sides)
4 x 6 = 24 x 2 = 48 cm^2 (the front and back)
Add them up
8 + 24 + 48 = 80 cm^2
If you wanted to find the SA of the whole figure it would be:
12 + 6 + 10 + 8 + 24 + 48 = 108 cm^2
Hope this helps!
Jai bought a helmet and a pair of skates.
The helmet cost £45.
He sold both items for £224.
Jai made a 120% profit on the cost of the helmet and a 40% profit on the total cost.
What was the percentage profit on the skates?
Give your answer to 1 decimal place.
Answer:
Profit % on skates = 8.7 %
Step-by-step explanation:
Step 1 : Find cost price of skates
Cost price of helmet = £45
Let cost price of skate be = x
Selling price = £224
Cost price = (x + 45)
Total profit % = 40%
[tex]Profit \% = \frac{Selling \ price - cost \ price }{Cost \ price} \times 100[/tex]
[tex]\frac{40}{100} = \frac{224 - (x + 45)}{(x + 45)}\\\\40(x+ 45) = 100(224 - (x +45))\\\\40(x + 45) = 22400 - 100(x + 45)\\\\40(x +45) + 100(x+ 45) = 22400\\\\140(x + 25) = 22400\\\\x + 45 = \frac{22400}{140}\\\\x = 160 - 45 = \£ \ 115[/tex]
Total cost price = 45 + 115 = £160
Step 2 : Selling price of Helmet
Cost price of Helmet = £45
Let selling price of helmet be = y
Profit % of helmet = 120 %
[tex]Profit \% = \frac{selling \ price - cost \ price}{cost \ price}[/tex]
[tex]\frac{120}{100} = \frac{y -45}{45}\\\\\frac{120 \times 45}{100} = y -45\\\\54 = y - 45\\\\99 = y[/tex]
Step 3 : Selling price of skates
Total selling = selling price of helmet + selling price of skates
224 = 99 + selling price of skates
224 - 99 = selling price of skates
125 = selling price of skates
Step 4 : Profit percentage on skates
Cost price of skate = £ 115
Selling price of skate = £ 125
[tex]Profit \% \ on \ skates = \frac{selling\ price- cost \ price }{cost \ price} \times 100[/tex]
[tex]= \frac{125-115}{115} \times 100\\\\=\frac{10}{115} \times 100\\\\= 8.7 \%[/tex]
m.ng giúp mình về phần vector trong ma trận nha
Answer:
maybe if u translate it in English
Step-by-step explanation:
it wouldv been helpful if u mind?
does x^2+y^2=9 represent y as a function of x?
No, x²+y²= 9 does not represent y as a function of x.
For x= 0,
y²= 9
=>y= ±3,
i.e y has two values +3 and -3
Since single value of x , there are two values of y
For an equation or relation to be function every element in domain( every value of x) there should one distinct value or image in co-domain (one value of y)
What is the mean of the data?
Answer:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.