[tex] \large \mathfrak{Solution : }[/tex]
let's solve for t :
6t - 9 + 8 = 7 + 2(t - 1)6t - 1 = 7 + 2t - 2 6t - 2t = 5 + 14t = 6t = 6 ÷ 4t = 3/2 or 1.5Answer:
t = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
(6t - 9) + 8 = 7 + 2(t - 1) ← distribute parenthesis on both sides
6t - 9 + 8 = 7 + 2t - 2 , that is
6t - 1 = 5 + 2t ( subtract 2t from both sides )
4t - 1 = 5 ( add 1 to both sides )
4t = 6 ( divide both sides by 4 )
t = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
Someone answer this please
Answer:
[tex] →\frac{8xy}{24y} = \frac{8}{24} . \frac{xy}{y} = \frac{1}{3}. x = \boxed{ \frac{x}{3} }✓ \\ [/tex]
x/3 is the right answer.The y-Int and the slope of C=7n+20
If you can show the formula
6. One angle of a triangle is 20 degrees. The second anglers measurement is four times the
third. What is the measure of the third angle?
9514 1404 393
Answer:
32°
Step-by-step explanation:
Let x represent the measure of the third angle. Then the second angle is 4x and the total of all angles is ...
20 +4x +x = 180
5x = 160 . . . . . . . . . . subtract 20
x = 32 . . . . . . . . . . . divide by 5
The third angle measures 32°.
If someone could explain the error in depth and show step by step how to actually slove the problem that would be great.
Step-by-step explanation:
The first step is wrong. It claims that
[tex]\frac{9x^3}{2x^3+9}=\frac{9x^{\cancel 3}}{2x^{\cancel 3}+9}=\frac{9}{2+9}[/tex]
but it is not true. It is attempting to simplify the fraction by cancelling the x^3 terms from 9x^3 and 2x^3.
However, to perform this operation, all terms in the fraction must be divided by x^3. But this will mean
[tex]\frac{9x^3}{2x^3+9}=\frac{(9)(x^3)}{(2+\textcolor{red}{\frac{9}{x^3}})(x^3)}=\frac{9}{2+\textcolor{red}{\frac{9}{x^3}}}[/tex]
loan payments of 1725 due today, 510 due in 75 days and 655 due in 323 days are to be combined into single 115 days.wgat is the single.payment if money is worth 8.5% and focal date 115 days
The single payment would be $ 2,909.18.
Since loan payments of $ 1725 due today, $ 510 due in 75 days and $ 655 due in 323 days are to be combined into a single payment in 115 days, to determine what is the single payment if money is worth 8.5% and focal date is 115 days the following calculation must be made, offsetting the days in advance with the days in which the payment is late:
8.5 / 365 x 115 = 2.6780 8.5 / 365 x (115 - 75) = 0.9315 8.5 / 365 x (115 - 323) = -4.8438 (1725 x 1.02678) + (510 x 1.009315) + (655 x (1 - 0.048438) = X 1,771.20 + 514.75 + 655 x 0.9515 = X 2,285.95 + 623.23 = X 2,909.18 = XTherefore, the single payment would be $ 2,909.18.
Learn more in https://brainly.com/question/15274886
Answer:
Step-by-step explanation:
since loan payments of $1725 due today. $510 due in 75 days and $655 due in 323 days are to be combined into single payment in 115 days.
now,
First, we need to calculate the present value of each payment using the given interest rate and the focal date of 115 days from now.
formula
The formula to calculate the single payment due 115 days from now is:
Single Payment = (PV1 / (1 + r1*(t1/365))) + (PV2 / (1 + r2*(t2/365))) + (PV3 / (1 + r3*(t3/365))) / (1 + r4*(t4/365))
Where:
- PV1, PV2, and PV3 are the present values of the three payments due today, in 75 days, and in 323 days, respectively.
- r1, r2, and r3 are the interest rates for each payment period.
- t1, t2, and t3 are the time periods in days between the payment due date and the focal date of 115 days from now.
- r4 is the interest rate for the period between the focal date and the payment due date of the single payment.
- t4 is the time period in days between the focal date and the payment due date of the single payment.
The present value of the payment due today is:
PV1 = 1725 / (1 + 0.085*(115/365)) = $1666.27
The present value of the payment due in 75 days is:
PV2 = 510 / (1 + 0.085*(75/365)) = $496.16
The present value of the payment due in 323 days is:
PV3 = 655 / (1 + 0.085*(323/365)) = $585.92
Next, we add up the present values of the three payments to get the total present value:
PV = PV1 + PV2 + PV3 = $2748.35
Finally, we calculate the single payment due 115 days from now by discounting the total present value to the focal date of 115 days from now:
Single Payment = PV / (1 + 0.085*(115/365)) = $2909.18
Therefore, the single payment due 115 days from now is $2909.18.
22 sit ups in 2 days = how many sit ups on 6 day
Step-by-step explanation:
2 days=22 sit ups
1 day=22/2 sit ups
6 days=22/2×6 sit ups
=66 sit ups
Answer:
66
Step-by-step explanation:
So if someone does 22 sit ups in 2 days means they do 11 sit ups for 1 day meaning if they do it for 6 days thy did 66 sit ups
Like my art? If you do thank you very much. :3
Easy question:
Two ends of a line have coordinates (-6,10) and (2,2). What are the coordinates of the midpoint of the line?
Answer:
midpoint = (-2 , 6)
Step-by-step explanation:
The midpoint can be found with the formula {(x1 + x2 )/2, (y1 + y2.) P1( x1 , y1 ), and P2 (x2 , y2 ) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.
who wrote the book california cities
Answer:
Marilyn Iturri
Step-by-step explanation:
The mean length of 7 planks of wood is 1.35m. When an extra plank of wood is added, the mean length of a plank of wood increase to 1.4m. the length of the extra plank of wood that was added is Select one a. 2. 4 b. 1 C. 1.25 d. 1.75V
Answer: Hello There!................
Mean = Sum of observation / total number of observation
Mean = 1.35m
1.35 = Sum of length of 7 wood planks/ 7
1.35*7 = Sum of the length of 7 wood planks
9.45 = Sum of the length of 7 wood planks
Let the length of extra added wood plank = x
So,
(Sum of the length of 7 wood planks + x) / 8 = 1.4m
(9.45 + x) / 8 = 1.4
9.45 + x = 1.4 * 8
9.45 + x = 11.2
x = 11.2- 9.45
= 1.75
So,
The length of extra added wood plank = 1.75m
Step-by-step explanation:
Mark me brainest please. Hope this helps. Anna ♥
A nut-raisin mix costs $5.26 per pound. Rashid buys 15.5 pounds of the mix for a party. Rashid’s estimated cost of the nut-raisin mix is
$81.53 is the cost of nut-raisin mix
Please answer correctly this time answer ASAP please due soon
Step-by-step explanation:
Down 2 units : we will move the point 2 units to the down direction of the vertical line (y-axis)
which means (x ,y-2) = (-2,1)
right 3 units = we will move the point 3 units to the right direction of the horizontal line (x axis )
(x+3,y)= (1,3)
up 1 unit and left 4 units : we will move the point 1 unit in the up direction of the vertical line (y-axis)
and move it 4 units in the left direction of the horizontal line (x axis )
(x-4,y+1l. = (-6,4)
What's the approximate length of an arc with radius 3 miles and central angle of 45
Length of the arc of a circle is given by,
Length of arc = [tex]\frac{\theta}{360^{\circ}}(2\pi r)[/tex]Here, θ is the central angle subtended by the arc
r = Radius of circle
By using this expression, approximate length of the arc with radius 3 miles will be 2.36 miles.
If the radius of circle = 3 miles
Central angle subtended by the arc = 45°
Therefore, length of the arc = [tex]\frac{45^{\circ}}{360^{\circ}}(2\pi )(3)[/tex]
= 2.36 miles
Length of the arc of the given circle will be 2.36 miles.
Learn more,
https://brainly.com/question/12566716
At the gift shop they sell small grettong card and large greeting cards. The cost of small ones are 1.80 and the cost of large ones are 4.40. How much does it cost to get 5 small ones
Answer:
$9
Step-by-step explanation:
Since the question only asks for small ones, we only need to focus on 1.80 and 5. Multiple them. 1.80×5 and we get 9. 1.80×5=9
what integer best represents that the temperature outside increased by 12°F?
I WILL APPRECIATE
Answer:
-11.11*C
Step-by-step explanation:
12°F − 32) × 5/9 = -11.11*C
PLS HELP
A certain stock's price, S (t), can be modeled by the polynomial function S (t) = t^4 – 12t^3 + 52t^2 – 96t + 64, where t represents the month in 2021. In which month will the price of the stock have a local maximum?
February
March
April
May
Answer:
April
Step-by-step explanation:
To solve, you find the maximum of the polynomial function. You can do this by either graphing or plugging in the values in a T chart.
I graphed the function, provided down below.
As you can see, the highest value in the graph is the middle most point, aka (4,1). Count down the months of the year to 4, and you'll find that April is the 4th month of the year.
Using derivative concepts, it is found that the function has a local maximum in March.
--------------------
A function S(t) has local maximums or minimums at points in which the derivative is 0.If the function goes from increasing(positive derivative) to decreasing(negative derivative), it has a local maximum.The function is:
[tex]S(t) = t^4 - 12t^3 + 52t^2 - 96t + 64[/tex]
Which has the following derivative:
[tex]S^{\prime}(t) = 4t^3 - 36t^2 + 104t - 96[/tex]
Now, for each month, it has to be tested the derivative, verifying if it's zero.--------------------
February is the 2nd month, thus, the derivative is:
[tex]S^{\prime}(2) = 4(2)^3 - 36(2)^2 + 104(2) - 96 = 0[/tex]
Now, we have to test a value less than 2, and one greater than two, to check if it goes from increasing to decreasing, that is, derivative goes from positive to negative.
[tex]S^{\prime}(1.5) = 4(1.5)^3 - 36(1.5)^2 + 104(1.5) - 96 = -7.5[/tex]
[tex]S^{\prime}(2.5) = 4(2.5)^3 - 36(2.5)^2 + 104(2.5) - 96 = 1.5[/tex]
From negative to positive, thus, a local minimum in February.
--------------------
March is the 3rd month, thus, the derivative is:
[tex]S^{\prime}(3) = 4(3)^3 - 36(3)^2 + 104(3) - 96 = 0[/tex]
Testing before and after:
[tex]S^{\prime}(2.5) = 4(2.5)^3 - 36(2.5)^2 + 104(2.5) - 96 = 1.5[/tex]
[tex]S^{\prime}(3.5) = 4(3.5)^3 - 36(3.5)^2 + 104(3.5) - 96 = -1.5[/tex]
From positive to negative, thus, it has a local maximum in March.
A similar problem is given at https://brainly.com/question/13539822
What is the image point of (4, - 7) after a translation right 4 units and up 5 units?
Answer:
( 8, - 2 )
Step-by-step explanation:
seven subtracted from the product of four and a number is a most 26 use the variable C for the unknown number
A motorist drives on a state road to and from work each day and pays $3.50 on tolls one-way.
(a) Write a model for the cost for tolls C (in S) for x working days.
(b) The department of transportation has a prepaid toll program that discounts tolls for high-volume use. The motorist can buy a pass for $112 per month. How many working days are required for the motorist to save money by buying the pass?
The model for the tolls cost is C= ?
Answer:
Step-by-step explanation:
Select the choice that translates the following verbal phrase correctly to algebra:
the difference of m and 7 increased by 15
m − (7 + 15)
7m + 15
(m − 7) + 15
m − 7 ÷ 15
Which is equivalent to (2 x
5)^4
Answer:
10000
Step-by-step explanation:
2*5=10
10^4=10*10*10*10=10000
(2·4)+6÷2 need to know how to do this problem
check if the triangle whose sides are 10m, 6m and 8m is a right triangle
please
Hi there!
»»————- ★ ————-««
I believe your answer is:
Yes, the sides will make a right triangle.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
We will check using the Pythagorean Theorem.⸻⸻⸻⸻
[tex]\boxed{\text{The Pythagorean Theorem}}\\\\a^2+b^2=c^2\\---------------\\\rightarrow 6^2 + 8^2 = 10^2\\\\\rightarrow 36 + 64 = 100\\\\\rightarrow \boxed{100=100}[/tex]
⸻⸻⸻⸻
The given measurements will form a right triangle.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find the distance between (2,3) and (-4,9). If you get a radical (square
root) answer, enter your answer as a decimal rounded to the second
decimal
Answer:
Length is 6√2 units or 8.49 units
Step-by-step explanation:
Length formular:
[tex]length = \sqrt{ {(x _{2} - x_{1}) }^{2} + {(y_{2} - y_{1})}^{2} } [/tex]
x1 is 2
x2 is -4
y1 is 3
y2 is 9
[tex]length = \sqrt{ {( - 4 - 2)}^{2} + {(9 - 3)}^{2} } \\ \\ = \sqrt{ {( - 6)}^{2} + {6}^{2} } \\ \\ = \sqrt{36 + 36} \\ = \sqrt{2 \times 36} \\ = \sqrt{2} \times \sqrt{36} \\ { \boxed{ \boxed{= 6 \sqrt{2} }}} \\ = 8.49 \: units[/tex]
How do you do a negative power?
Answer:
A negative exponent is defined as the multiplicative inverse of the base, raised to the power which is opposite to the given power. In simple words, we write the reciprocal of the number and then solve it like positive exponents. For example, (2/3)-2 can be written as (3/2)2.
Step-by-step explanation:
please mark me brainliest-3x + 6y = 18
-3x = 6y+14
a) What is the slope of the 1st equation?
b) What is the slope of the 2nd equation?
c) Are they parallel, perpendicular, or neither?
Step-by-step explanation:
-3x + 6y = 18
-3x = 6y+14
a) the slope of the 1st equation = -(-3)/6 = ½
b) the slope of the 1st equation = -3/6 = -½
c) they are niether parallel nor perpendicular
#1
-3x+6y=18-x+2y=62y=x+6y=x/2+3slope=1/2
#2
-3x=6y+146y=-3x-14y=-1/2x-7/3slope=-1/2
#3
Neither
The opposite of 50 feet below sea level
Answer:
50 ft above sea level.
Step-by-step explanation:
The exact opposite would just be 50 ft above the starting point.
Answer:
it will be 50 feet above the sea level
HELP PLEASE
here’s the question
Answer:
1.9 hours
Step-by-step explanation:
7.6 divided by 4
Answer:
1 hour and 54 minutes or 1.9 hours
Step-by-step explanation:
In which quadrant is the point (-2, -3) located?
Quadrant II
Quadrant TV
Quadrant II
Quadrant l
The point (-2 , -3) is located in the 3rd quadrant.
[tex] \boxed{ \boxed{ \mathrm{lll \: \: quadrant}}}[/tex]
(3.0x10^-1)-(1.4x10^-3)
Answer:
.2986
Step-by-step explanation:
( .3 ) - ( . 0014 ) = .2986
Answer:
here u go
Step-by-step explanation:
0.2986x
please help i will give extra points
Answer:
56
Step-by-step explanation:
solve expression using pemdas
(shown in image attached)
[tex]( - 8 \times - 6) - {4}^{2} \\ \\ - 77 - 16 \\ - 93[/tex]
Hope it help you