Answer:
Multiplier = 0.65
Value at the end of the year = 7,800 monetary units
Step-by-step explanation:
If his car decreased in value by 35%, in order to find the value of his car at the end of last year, multiply the original value by (1 - 35%) or:
[tex]1-35\%=1-0.25=0.65[/tex]
The multiplier that should be used is 0.65.
The value of Ahmed's car at the end of last year was:
[tex]V=12,000*0.65\\V=7,800[/tex]
The car was worth 7,800 monetary units at the end of last year.
25°
y
30°
X = [ ? 1°
Enter
Answer:
X=125 degrees
Step-by-step explanation:
Subtract the degrees that you know, so 25 and 30, from 180, since all triangles add up to that.
Answer:
x = 125
Step-by-step explanation:
what is the estimate difference between 2.97 1 2/11
Answer:
2
Step-by-step explanation:
Estimate 1 2/11 to 1.
Estimate 2.97 to 3.
3 - 1 = 2
Answer:
B
Explanation
I took the quiz
i need help from uh all..
Answer:
Step-by-step explanation:
Given expression is,
[tex]\text{cot}A=\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})[/tex]
To prove this identity we will take the right side of the identity,
[tex]\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})=\frac{1}{2}(\frac{1}{\text{tan}\frac{A}{2}}-tan\frac{A}{2})[/tex]
[tex]=\frac{1}{2}(\frac{1-\text{tan}^2\frac{A}{2}}{tan\frac{A}{2}})[/tex]
[tex]=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}][/tex]
[tex]=\frac{1}{2}(\frac{2}{\text{tan}A} )[/tex] [Since [tex]\text{tan}A=\frac{2\text{tan}\frac{A}{2}}{1-\text{tan}^2\frac{A}{2}}[/tex]]
= cot A
Hence right side of the equation is equal to the left side of the equation.
Please answer this question now in two minutes
Answer:
67 degrees.
Step-by-step explanation:
The two quadrilaterals are congruent, with angle T corresponding to angle F, angle U corresponding to angle C, angle V corresponding to angle D, and angle W corresponding to angle E.
A quadrilateral's interior angles add to be 360 degrees.
x + 138 + 67 + 88 = 360
x + 293 = 360
x = 67
So, angle D is 67 degrees.
Hope this helps!
A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (4, 3). Fill in the blank to find the y-intercept.
Answer:
The y - intercept is (0, 4)
Step-by-step explanation:
The equation x + 4y = 8 is in 'standard form.' Any line parallel to this line has an equation that looks exactly the same EXCEPT for the constant.
So, let's write out x + 4y = 8 and replace the 8 with C.
x + 4y = C
Now take the coordinates of the given point (4, 3) and substitute them into the above equation: 4 + 4(3) = C = 16
Thus, the equation of the line passing through (4, 3) is x + 4y = 16.
To find the y-intercept, set x = 0 and calculate y:
0 + 4y = 16, or y = 4
The y - intercept is (0, 4)
In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
A. 120 degrees.
Step-by-step explanation:
The two angles are alternate angles, which means they are congruent. So, x is also 120 degrees.
Hope this helps!
what is the slope of the line that contains these points (-2 2) and (3 3)
Answer:
[tex]\bold{m=\dfrac15}[/tex]
Step-by-step explanation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-2,\,2)\ \implies\ x_1=-2\,,\ y_1=2\\(3,\,3)\ \implies\ x_2=3\,,\ y_2=3\\\\m=\dfrac{3-2}{3-(-2)}=\dfrac{1}{3+2}=\dfrac15[/tex]
Is (4,6) a solution to 5x+3y =-4
Answer:
False
Step-by-step explanation:
5x+3y =-4
Substitute the point into the equation and see if it is true
5(4) +3(6) = -4
20 +18 = -4
38 = -4
This is false so the point is not a solution
Answer:
No.
Step-by-step explanation:
5x + 3y = -4
For (4, 6) to be a solution, 4 must be put in for x and 6 for y and the solution must be -4.
(5 * 4) + (3 * 6) = 20 + 18 = 38
Since 38 is NOT equal to -4, (4, 6) is not a solution.
Hope this helps!
Find the slope of a line parallel to each given line and graph.
y=9x+5
Answer:
9
Step-by-step explanation:
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 9x+5
The slope is 9
Parallel lines have the same slope so a line parallel would have a slope of 9
Answer:
i think the slope is 9.
because y= 9x+5 is in the form of slope intercept form.
as y=mx + c (where m is the slope of the equation.)
therefore, the slope (m )= 9....ans
hope it helps....
Find equation of the line.
Answer:
-1+9
Step-by-step explanation:
-1 divide by -1 =1
so the answer is -1+9
I hope that helped and can you do my answer as a Brainliest PLEASE
If it helped don't forget to thanks
A line contains the point (8,-5). If the slope of the line is write the equation of the line using point-slope form
Answer:
[tex]\bold{y+5=\frac57(x-8)}[/tex]
Step-by-step explanation:
[tex]y-y_1=m(x-x_1)[/tex] - point-slope form of Equation of the Line
[tex](8,-5)\ \ \implies x_1=8\,,\ y_1=-5\\\\m=\frac57\\\\equation:\\{}\qquad\qquad y-(-5)=\frac57(x-8)\\\\{}\qquad\qquad y+5=\frac57(x-8)[/tex]
Which table shows exponential decay? A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 128, 8, 4. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 12, 9, 7. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 3, 1.
Answer:
The first table; the first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2.
Step-by-step explanation:
Exponential decay means that the graph or table is exponentially decreasing. Meaning, if you went from point 4 to 1, you would see an exponential increase. Other tables show other forms of functions, such as quadratic, or linear. To find out which rate it is decaying by, ask yourself, at 0, what is the y output? You can then divide the output of 0 by 1, and so on. If it is decaying at a consistent rate, then you know it is exponential. If you do not need to divide, but know it is decaying at a rate of two, it is linear. If it does not divide the first time smoothly, it is quadratic. It could also be a number of things.
I hope this helps you. We studied this quite a while ago, and I do not remember the equation at the tip of my tongue, and I do not want to give you wrong information. Have a great rest of your day!
Answer:
the 1s options
1 16
2 8
3 4
4 2
Step-by-step explanation:
Amanda teaches violin lessons for $21.30 per hour. How many hours of lessons must Amanda give to make no less than $894.60?
No less than 42 lessons
No less than 35 lessons
No less than 45 lessons
No less than 33 lessons
Answer:
No less than 42 lessons
Step-by-step explanation:
To find the total numbers of hours needed to teach, divide the total amount of money needed by the amount of money made an hour.
$894.60/$21.30 = 42
Can someone help me with this question please?
Answer:
a.) (0,4) b.) (-4,0)
Step-by-step explanation:
a.) Let x=0 and solve for y: y=0+4=4. Since we let x=0 the first number will be 0 and we found y to be 4, so our coordinates are (0,4)
b.) Let y=0 and solve for x: 0=x+4, x=-4. Since x=-4 our first number is -4, since y is 0 our second number is 0, so our coordinates are (-4,0)
Hope this helps!
Please help me!
30g of cornflakes contain 2.5g of fat
How many grams of fat are there in 566g of cornflakes?
Give your answer to 1 dp
Answer:
47 .2 Grams 0f FatStep-by-step explanation:
[tex]30g ----> 2.5g -fat\\566g ----> xg -fat\\30x = 1415\\\frac{30x}{30} =\frac{1415}{30} \\\\x = 47.1666\\\\x = 47.2g of Fat[/tex]
change S25°W to a three digit bearing
Answer:
the answer is s025w
Step-by-step explanation:
simply add zero to the front to make it a three digit bearing
Question 4 A family has two cars. The first car has a fuel efficiency of miles per gallon of gas and the second has a fuel efficiency of miles per gallon of gas. During one particular week, the two cars went a combined total of miles, for a total gas consumption of gallons. How many gallons were consumed by each of the two cars that week
Complete question is;
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1850 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?
Answer:
Car 1 consumed 30 gallons of gas.
Car 2 consumed 20 gallons of gas.
Step-by-step explanation:
Let x be number gallons consumed by car 1
Let y be number of gallons consumed by car 2
We are told that total gas consumption of 50 gallons. Thus;
x + y = 50 - - - - - eq(1)
We are told that the first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas and they went a combined total of 1850 miles. Thus;
35x + 40y = 1850 - - - - eq2
Let's make y the subject in eq(1),
y = 50 - x - - - - eq(3)
Putting 50 - x for y in eq 2 gives;
35x + 40(50-x) = 1850
35x + 2000 - 40x = 1850
-5x + 2000 = 1850
-5x = -150
x = 150/5
x = 30 gallons
Substitute 30 for x into eq 3,we have;
y = 50 - 30
y = 20 gallons
Thus;
Car 1 consumed 30 gallons of gas.
Car 2 consumed 20 gallons of gas.
Which system below has no solution? y = 4x and y = 2x - 3 y = -4x and y = 2x - 3 y = -4x and y = 2x + 3 y = -4-x and y = 2x - 3
Answer:
y=4x
Step-by-step explanation:
this is because all other systems are defined and can be solved simultaneously...
pls lime and follow me ...i follow back...thanks
Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 24 square feet and no bigger than 48 square feet. If the length is 2 feet more than the width, what are the range of possible values for the width?
Answer: 6 feet to 8 feet
Step-by-step explanation: 6x4=24 8x6=48
what is the measure of x? 68 degrees 70 degrees
Answer:
x = 138°
Step-by-step explanation:
Since the sum of all angles in a triangle is 180°, we find ∠BAC:
m∠BAC = 180 - (68 + 70) = 42°
Since ∠x and ∠BAC are Supplementary Angles, they add up to 180°:
180 - 42 = x
x = 138°
Answer:
138
Step-by-step explanation:
1. 68 + 70 = 138
2. 180 - 38 = 42
3. 180 - 42 = 138
4. X = 138
Log3+log9+log27+log81+...... Question: how many terms of the section log2187?
Answer:
7th term.
Step-by-step explanation:
The given series is
[tex]\log 3+\log 9+\log 27+\log 81+...[/tex]
We need to find the number of term log 2187.
Here, terms inside the log are 3, 9, 27, 81, ... are in G.P.
First term = 3
Common ratio [tex]=\dfrac{9}{3}=3[/tex]
nth term of a G.P. is
[tex]a_n=ar^{n-1}[/tex]
where, a is first term and r is common ratio.
[tex]2187=3(3)^{n-1}[/tex]
Divide both sides by 3.
[tex]729=(3)^{n-1}[/tex]
[tex]3^6=(3)^{n-1}[/tex]
On comparing both sides, we get
[tex]n-1=6[/tex]
[tex]n=7[/tex]
Since 7th term of the G.P. 3, 9, 27, 81, ... is 2187, therefore, 7th term of [tex]\log 3+\log 9+\log 27+\log 81+...[/tex] is log 2187.
If AC =4.5 what is the measure of AB
Answer:
f
Step-by-step explanation:
f
Answer:
[tex]\boxed{AB = 9}[/tex]
Step-by-step explanation:
AB = 2(AC) {Because a line segment drawn from a center of a circle bisect the chord opposite to it}
So,
AB = 2(4.5)
AB = 9
I need to find the derivative of d). Can someone please fine y’ please.
Answer:
= -2x/ ( x^2+5) ^2
Step-by-step explanation:
y = 1/ ( x^2 +5)
y = ( x^2+5) ^ -1
dy/dx = -1 * (x^2 + 5) ^-2 * d/dx (x^2 + 5)
-1 * (x^2 + 5) ^-2 * 2x
= -2x/ ( x^2+5) ^2
are the triangles similar?
Answer:
Yes.
Step-by-step explanation:
The angles of the triangles add up to be 180. 180 - 114 - 31 = 35. 180-114-35 = 31. Since the angles of the triangles correspond and are congruent, the triangles are similar, with PQR corresponding to TUS.
Hope this helps !
Solve the system of equations by substitution.
y=-1/2x-7
2 x - y = -16
Answer:
Point Form:
( − 46 /3 , − 44 /3 )
Equation Form:
x = − 46 /3 , y = − 44 /3
Step-by-step explanation:
Combine 1 /2 and x .
y = x /2 − 7
2 x − y = − 16
Replace all occurrences of y in 2 x − y = − 16 with x /2 − 7 .
y = x /2 − 7
2 x − ( x /2 − 7 ) = − 16
Simplify
2 x − ( x /2 − 7 ) .
y = x /2 − 7
3 x /2 + 7 = − 16
Solve for
x
in the second equation.
y = x /2 - 7
x = − 46 /3
Replace all occurrences of x in y = x /2 − 7 with − 46 /3 .
y = − 46 /3 /2 − 7
x = − 46 /3
Simplify − 46 /3 /2 − 7 .
y = − 44 /3
x = − 46 /3
The solution to the system of equations can be represented as a point.
( − 46 /3 , − 44 /3 )
The result can be shown in multiple forms.
Point Form:
( − 46 /3 , − 44 /3 )
Equation Form:
x = − 46 /3 , y = − 44 /3
There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 reds?
Answer:
2/7
Altogether there're 7 marbles. Let,probability of getting blue and red marbles be 'B' and 'R' respectively.
In 1st pick
Probability of getting red marble is 4/7
So, there's the probability that the ball in 1st pick may be either blue or red.
So,if the marble is red then we've to eliminate that red marble ( cause,question says so)
Then,in 2nd pick
Probability of getting red ball will be 3/6(if we eliminate that red ball then the total number of marbles will also be 6)
Now,
Probability of getting two red will be
(4/7)×(3/6)
=2/7
It would be more easier to do by tree diagram. Since,I didn't find it convenient here,it may be not so much helpful.But, I tried my best. Hope you are clarified.
Dave ran 3.52 miles in the same time
that Eric ran 2.44 miles. How much
further did Dave run than Eric?
3
8
9
10
TIMEI
01:
C D
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
2 + 7c-4c2 – 30 + 4
4c2 + 4c + 6
-7c2 + 10C + 6
O4c2 + 4C + 8
0-7c2 + 70 +6
Answer:
A. -4c^2+4c+6
Step-by-step explanation:
2+7c-4c^2-3c+4
-4c^2+7c-3c+4+2
-4c^2+4c+6
Find the area of this triangle..
Answer:
Step-by-step explanation:
For this problem, we have to use Heron's Formula.
S= (a + b + c)
over 2
And then √S( S-a) (S-b) (S-c)
That's the formula, now to plug in the numbers.
S= 12+12+21.2
over 2
that equals 45.2/ 2= 22.6'
Now we found s, so we can plug in the second step of the formula...
√22.6 ( 22.6 - 12 ) ( 22.6 - 12 ) ( 22.6 - 21.2 )
This equals √ 22.6 (10.6) (10.6) (1.4)
and that equals...
59.624411 = or rounded it up to 60.
Draw a circle with center A and a radius of your choice. Create three well-spaced points, B, C, and D, on the circle in clockwise alphabetical order. Draw two radii, AB and AC , and draw two chords, DB and DC . Measure and record m∠CAB and m∠CDB. Take a screenshot of your diagram with the measurements, and paste it below.
Answer:
Please find attached the required circle
It is observed that the angle subtended by the arc CB which are m∠CAB and m∠CDB is such that the angle arc CB subtends at the center, m∠CAB is two times the angle that the arc CB subtends at the circumference
The measured angle subtended by the arc CB at the center m∠CAB = 64° and the measured angle subtended by the arc CB at the circumference m∠CDB = 32°
Step-by-step explanation:
T
Answer:
from edmentum
Step-by-step explanation: