Answer:Explicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence without knowing the value of the previous terms. Explicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence without knowing the value of the previous terms
Step-by-step explanation:
smbdy plssss I'll give 35 points
An estate agent has three houses for sale. The prices of the houses were
in the ratio 6:4:3 and the cheapest house was priced at $240 000. What
were the prices of the other two houses? (SHOW WORKING)
Answer:
Step-by-step explanation:
sum of ratio=6+4+3=13
let the total price of houses=x
then
[tex]\frac{3}{13} x=240,000\\x=240,000 \times \frac{13}{3} =1,040,000\\price of first house=1,040,000 \times \frac{6}{13} =480,000\\price~of~second~house=1,040,000 \times \frac{4}{13}=320,000[/tex]
What is LaTeX: m\angle PQRm ∠ P Q R? Line PS with midpoint at Q and ray QR. Angle pqr is 3x-6 and angle rqs is x+2
Answer:
132°Step-by-step explanation:
If line PS has midpoint a Q and ray QR, then line PQS will be a straight line and <PQR + <RQS = 180 (sum of angle on a straight line).
Given
<PQR = 3x-6
<RQS = x+ 2
To get x, we will use the relationship above;
3x-6+x+2 = 180
4x-4 = 180
add 4 to both sides
4x-4+4 = 180+4
4x = 184
x = 184/4
x = 46
Since <PQR = 3x-6, we will substitute the value of x into the formula;
<PQR = 3x-6
<PQR = 3(46)-6
<PQR = 138-6
<PQR = 132°
Hence the size of angle PQR is 132°
Someone please help me with this geometry proof question ASAP!
Answer:
if ∠Q=∠R
draw an angular bisector from P to QR in which it intersect wit Qr at point S
now we have two triangle : QPS and RSP
in which angle : QPS=RPS ( PS is angular bisector)
and we have angle Q and angle R are equal
and PS is common side
this makes triangle QPS and RSP are congruent by AAS(angle angle side)
which also means that pQ=PR ( proved)
What are the roots of the equation 4x^2 + 16x + 25 = 0 in simplest a + bi form?
Answer:-2 + 3i/2, and -2-3i/2
Step-by-step explanation:
Apply the quadratic formula.
We have (-16 +-sqrt(16^2-4*4*25))/8.
Simplifying, we have (-16+-12i)/8.
Thus, the roots are -2 + 3i/2, and -2-3i/2
Answer:
The roots are
[tex]x = - 2 + \frac{3}{2} \: i \: \: \: \: or \: \: \: \: x = - 2 - \frac{3}{2} \: i \\ [/tex]Step-by-step explanation:
4x² + 16x + 25 = 0
Using the quadratic formula
That's
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]From the question
a = 4 , b = 16 , c = 25
Substitute the values into the above formula and solve
We have
[tex]x = \frac{ - 16\pm \sqrt{ {16}^{2} - 4(4)(25)} }{2(4)} \\ x = \frac{ - 16\pm \sqrt{256 - 400} }{8} \\ x = \frac{ - 16\pm \sqrt{ - 144} }{8} \\ x = \frac{ - 16\pm12 \: i}{8} \\ [/tex]Separate the real and imaginary parts
That's
[tex]x = \frac{ - 16}{8} \pm \frac{12}{8} \: i \\ x = - 2\pm \frac{3}{2} i[/tex]We have the final answer as
[tex]x = - 2 + \frac{3}{2} \: i \: \: \: \: or \: \: \: \: x = - 2 - \frac{3}{2} \: i \\ [/tex]Hope this helps you
What is the value of x in the equation LaTeX: \frac{3}{2}\left(4x-2\right)-3x=5-\left(x+2\right) 3 2 ( 4 x − 2 ) − 3 x = 5 − ( x + 2 ) ?
Answer:
x = 3/2
Step-by-step explanation:
x = 3/2
Step-by-step explanation:
Given the equation 3/2(4x-2)-3x = 5-(x+2)
Open the parenthesis
3/2(4x) - 3/2(2) -3x = 5-x-2
6x-3-3x = 3-x
3x-3 = 3-x
Collect like terms
3x+x = 3+3
4x = 6
Divide both sides by
4x/4 = 6/4
x = 3/2
Hence the value of x is 3/2
Two forces are given by j = (-2,1] and K = (-5,3), in
Newtons. What is the magnitude of j+k ?
A. [-7,4]
B. 8.06
C. 8.56
D. 11
find the area of a shape
Select all the scalars
A. Distance
b.displacement
C.speed
D.velocity
Please help ASAP please answer please !!⬆️
Answer:
A, B, C
Step-by-step explanation:
Velocity is the only option that has both distanace and direction.
Ashley rolls a die, flips a corner, and then roll the die again. What is the probability that he will roll to our numbers And that the coin will land on heads?
Answer:
1/72
Step-by-step explanation:
Given that Ashley rolls a die, flips a corner, and then roll the die again.
Since he rolls a die two times, the number of total possible outcomes for each roll will be equal to 6
Also, the number of possible outcomes for a coin will be equal to 2
What is the probability that he will roll to our numbers And that the coin will land on heads
The probability will be
1/6 ×1/6 × 1/2 = 1/72
8x + 4 = 3 (x-1) + 7'
it it is 30 little one
I need help fast pls help
Answer:
third option
Step-by-step explanation:
Using the rule of radicals
[tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex] and [tex]\sqrt{-1}[/tex] = i
Given
[tex]\frac{\sqrt{-12} }{\sqrt{6} }[/tex] = [tex]\sqrt{\frac{-12}{6} }[/tex] = [tex]\sqrt{-2}[/tex] = [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex] = i[tex]\sqrt{2}[/tex]
Help me find the slope please
the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15 seconds the angle of elevation changes to 30 degree if the jet plane is flying at a constant height of 1500 root 3 metre find the speed of the jet plane
Answer:
200m/s
Step-by-step explanation:
Please see the attached pictures for full solution.
Joe wants to buy a toaster that costs $15 dollars. The sales tax on the toaster is 5%. What is the total cost Joe will pay for the toaster? (Please explain how you solved the problem)
Answer:
$15.75
Step-by-step explanation:
You can do this a couple of ways.
(1) Compute the tax, and add it to the price to find the total.
5% × $15 = 0.05 × $15 = $0.75 . . . . amount of tax
Then the total cost is $15 + $0.75 = $15.75.
__
(2) Add the percentage to 100% and use that to multiply the cost.
total cost = $15 + 5% × $15 = $15×(100% +5%) = $15×1.05
total cost = $15.75
Norah's hours worked and corresponding total earnings are shown in the
graph. What would Norah's total earnings be if she worked 11 hours? Hint:
What is her hourly rate?
Total earnings
40
30
20
10
4
0
3
Hours worked
A. $440
B. $110
Ο Ο Ο Ο
C. $220
D. $330
Answer:
B
Step-by-step explanation:
Answer:
$110
Step-by-step explanation:
APEX
Solve
x/4 = 8
please help me find what x is
Answer:
x = 32
Step-by-step explanation:
x/4 = 8
<=> x = 8 . 4
<=> x = 32
Is the expression 5 + 3x 2always equal to the expression 4x? Explain your answer.
Please help 30 points!!!!!!! Convert 45.25 mL into ft3.
This on the web one-way conversion tool converts volume or capacity units from milliliters ( ml ) into cubic feet ( ft 3 , cu ft ) instantly online. 1 milliliter ( ml ) = 0.000035 cubic feet ( ft 3 , cu ft ). How many cubic feet ( ft 3 , cu ft ) are in 1 milliliter ( 1 ml )? How much of volume or capacity from milliliters to cubic feet, ml to ft<sup>3</sup> , cu ft?
hope this helps!
Can someone plss help mee ??
help me with this, please
Answer:
Correct Answer: Option A
Step-by-step explanation:
cos(x + 25o) = sin 45o
using cos θ = sin(90 - θ)
cos(x + 25o) = cos(90 - 45)
cos(x + 25o) = cos 45
x + 25 = 45
x = 45 - 25
x = 20o
Hope it helps ♡＾▽＾♡
Is 225 a perfect square and a perfect cube?
Answer:
Yes, it is!
Step-by-step explanation:
. Sonya buys four pairs of shoes on
sale for buy one, get one 50% off.
The sales tax is 6.5%. If the
original price for each pair of shoes
was $35, how much does Sonya
pay for the four pairs altogether?
A. $74.55
B. $105.00
C. $111.83
D. $149.10
________________
Answer:
c
Step-by-step explanation:
35/2=17.5 *2= 35+35+35= 105
6.5% of 105 is 6.83, so 105+ 6.83= 111.83
what is 1xy+3x-(23y+3)
Answer:
[tex]xy+3x-23y-3[/tex]
Step-by-step explanation:
[tex]1xy+3x-(23y+3)\\[/tex]
Multiply ; 1× x =x
[tex]=xy+3x-\left(23y+3\right)\\[/tex]
Use - to open the bracket
[tex]-\left(23y+3\right):\quad -23y-3\\\\=xy+3x-23y-3[/tex]
7. The island is rich with hot chili peppers. You can collect 1.6 pecks a day. How many liters could you collect in 1 week?
The required liters of hot chili papers collected in a week is 98.56 liters.
What is a unit of measurement?Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.
1 peck = 8.8 liters
1.6 peck = 8.8 × 1.6 liters
1.6 pecks = 14.08 liters
So, in 1-week liter that could be collected is given as,
⇒ 14.08 × 7 [1 week = 7 days]
⇒ 98.56 liters
Thus, the required liters of hot chili papers collected in a week is 98.56 liters.
Learn more about measurement here:
brainly.com/question/12629581
#SPJ2
Find the value of X in this equation.
g=c+x
18x + 3y = -21 slope intercept form
Answer: y=-6x-7
Step-by-step explanation:
Slope-intercept form is y=mx+b. This means, we want to isolate y.
18x+3y=-21 [subtract both sides by 18x]
3y=-18x-21 [divide both sides by 3]
y=-6x-7
Now, our equation is in slope-intercept form.
PLEASE SHOW WORK!!
I WILL MARK YOU BRAINLIEST!! **ESPECIALLY IF YOU CAN EXPLAIN IT!
Step-by-step explanation:
x^2=9/49
√x^2=√9/49
x=+or-3/7
30. When asked his age, the algebra teacher said, "If you
square my age, then subtract 23 times my age, the
result is 50. How old is be?
F. 23
G. 25
H. 27
J. 46
K. 50
Answer:
25 years old
Step-by-step explanation:
Let the teacher's age be a.
Then:
a^2 - 23a = 50
In standard form, this quadratic is
x^2 - 23a - 50 = 0
Factoring this, we get (x - 25)(x + 2) = 0
So a is either 25 or a is -2. Only a = 25 is relevant here.
The teacher is 25 years old (Answer G)
Convert the repeating decimal below into a fraction. - 0.6
Answer:
2/3
Step-by-step explanation
(6 times 10)-0
___________
9
6/9= 2/3
Which quadrilateral is the result of rotating quadrilateral ABCD 270° clockwise about the origin
Answer:
2
Step-by-step explanation:
Answer:
your awnser would be C
Step-by-step explanation: