Answer:
40.95
Step-by-step explanation:
P = 1500 + 75 = 1575
I = Prt
I = 1575(1.3%)(2)
I = 40.95
pls whats the solution to this question.
(x-1÷x)^6.
and also solve with full workings.
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]
[tex] \frac{ {x}^{12} - {6x}^{10} + {15x}^{8} - {20x}^{6} + {15x}^{4} - {6x}^{2} + 1 }{ {x}^{6} } [/tex]
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]
[tex](x - 1 \div x) {}^{6} [/tex]
Arrange the powers
[tex] \frac{x {}^{12} - {6x}^{10} + {15x}^{8} - {20x}^{6} + {15x}^{4} - {6x}^{2} + 1 }{ {x}^{6} } [/tex]
#❀CARRY ON LEARNING❀#❀KEEP ON LEARNING❀#❀LEARNING IS FUN❀#❀LETS LEARN❀#❀NoToCopyPaste❀❀hope it helps(◕ᴗ◕✿)❀❀Keep safe!❀Elizabeth has $35.50 to spend on Math tutoring. Each session costs $9 plus a one- time registration fee of $7.45. Let the variable t represent the number of tutoring sessions. Which equation represents the number of sessions Elizabeth can attend for $35.50?
Answer:
2 tutoring sessions
Step-by-step explanation:
do 9 + 7.45 = 16.45 x 2 = 32.9. You can’t add another 16.45 otherwise it’d go over 35.50
Answer:She can afford 3 lessons.
Step-by-step explanation: If you strt
with the fee of 35.50 you can subtract the one-time fee (7.45) to make it 28.05 and then divide that by 9 to get 3.12 which means she can afford tree lessons.
A cohort study of smoking and lung cancer was conducted in a small island population. There were a total of 1,000 people in the study, and the study was conducted over a ten year period. Four hundred were smokers and 600 were not. Of the smokers, fifty developed lung cancer. Of the non-smokers, 10 developed lung cancer. In order to measure the strength of association between smoking and lung cancer in this population, which measure of exposure-disease association would you use
Answer:
A measure of exposure-disease association one could use is the odds ratio (OR)
Step-by-step explanation:
An Odds ratio (OR) is a statistical measure quantifying the level of association between two events such as an exposure and an outcome
The odds ratio gives the probability of outcome where there is a given amount of exposure
We have the table;
[tex]\begin{array}{ccc}&Developed \ lung \ cancer& Did \ not \ develop \ lung \ cancer\\Smokers&50&350\\Non-smokers&10&590\end{array}[/tex]
The odds ratio = (The number of smokers with the lung-cancer)/(The number of non-smokers with lung-cancer) ÷ (The number of smokers smokers without long cancer).(The number of non-smokers without long cancer)
∴ OR = (50/10) ÷ (350/590) = 59/7 = 8.[tex]\overline{428571}[/tex] ≈ 8.4
Therefore, a smoker is approximately 8.4 times more likely to develop lung cancer than a non-smoker.
5
A system of equations is shown.
y = 2x – 7
y = -x + 5
What is the solution to the system of equations?
Answer:
x = 4
Step-by-step explanation:
Eliminate y by setting the first equation equal to the second:
2x - 7 = -x + 5
Combining like terms, we get:
3x = 12, so that x must be 4.
Tony's friends ate 0.6 of the appetizers he made. Which point on the number line best represents 0.6?
A. R
B. S
C. Q
D. P
PLEASE HELP ASAP!! THIS IS LATE! :(
Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?
A. States had to pay taxes set by Congress and provide soldiers during war time.
B. States had to provide representatives to Congress but soldiers were sent only to state militaries.
C. States sent representatives to Congress and provided soldiers and some officers to protect the country.
D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.
Answer:
States sent representatives to Congress and provided soldiers and some officers to protect the country.
HELP PLEASEEEEE I'll give you a crown
Answer:
8.64%
Step-by-step explanation:
Write it as a decimal
7/81 = 0.0864
0.0864 is the decimal representation for 7/81
For Percentage Conversion :
step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction
Fraction = 0.0864/1
step 2 multiply 100 to both numerator & denominator
(0.0864 x 100)/(1 x 100) = 8.64/100
8.64% is the percentage representation for 7/81
A system of liner equation has been graphed in the diagram. Determine a responsible solution for the system of equation.
2. Karina would like to go with Rhia to Michigan, but by the time she purchased her ticket, she
realized she will need to earn $1,593 to pay for the trip herself. Karina babysits and earns $15
per hour. How many hours will Karina need to babysit in order to earn all of the money she
needs for the trip to Michigan?
Find the area of the semi circle with a radius of 2 feet
Answer:
area of semi circle πr=π×2=44/7 feet²
Anybody please help me
A football field is 360 feet long. The titanic was 883 feet. About how many football fields long was the titanic? Write your answer as a whole number and a decimal
Given:
The length of the football field = 360 feet
The length of the titanic = 883 feet
To find:
About how many football fields long was the titanic?
Solution:
We have,
Length of the football field = 360 feet
Length of the titanic = 883 feet
Now we need to divide the length of the titanic by length of the football field to find the number of football fields whose length is equal to the titanic.
[tex]\text{Number of required football fields}=\dfrac{\text{Length of the titanic}}{\text{Length of the football field}}[/tex]
[tex]\text{Number of required football fields}=\dfrac{883}{360}[/tex]
[tex]\text{Number of required football fields}=2.452777...[/tex]
[tex]\text{Number of required football fields}=2.452\overline{7}[/tex]
[tex]\text{Number of required football fields}\approx 2[/tex]
Therefore, the answer in whole number is 2 and the answer in decimal is [tex]2.452\overline{7}[/tex].
I need help plz answer!!!
Answer:
No.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
If you graph the equations, then you see that (3,8) is not the solution.
HELP HELP HELPPPPP PLEASEEE
Answer:
A
Step-by-step explanation:
1/2f
Answer:
A
the first option
Step-by-step explanation:
Which equation below describes the angle measurements of a night isosceles
triangle?
А
90 + 2(45) = 180
B
180 = 90 + 40 + 50
c (180) = 60
D (90) + 90 = 180
Help me please I’ll mark brainliest!!!!
Answer:
1.5
Step-by-step explanation:
Find a unit vector in the direction of the given vector.
v = 9i − 6j
Given:
The given vector is:
[tex]v=9i-6j[/tex]
To find:
The unit vector in the direction of the given vector.
Solution:
If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is
[tex]\hat v=\dfrac{v}{|v|}[/tex]
Where, [tex]|v|=\sqrt{a^2+b^2[/tex]
We have,
[tex]v=9i-6j[/tex]
Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,
[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]
[tex]|v|=\sqrt{81+36}[/tex]
[tex]|v|=\sqrt{117}[/tex]
[tex]|v|=3\sqrt{13}[/tex]
Now, the unit vector in the direction of the given vector is:
[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]
Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].
Jonathan is preparing for a triathlon he biked 3.5 miles on Thursday and 4.25 miles on Friday on Saturday he biked 12 miles how much farther did he bike on Saturday than he did on Thursday and Friday combined
Answer: 4.25 miles
Step-by-step explanation:
The distance he biked on Thursday and Friday combined is:
= 3.5 + 4.25
= 7.75 miles
On Saturday he biked 12 miles. The number of miles he biked over Thursday and Friday is:
= 12 - 7.75
= 4.25 miles
If n = 3, what is the value of 6n – 3?
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
6×3−3
Multiply 6 and 3 to get 18.
18−3
Subtract 3 from 18 to get 15.
15
Imagine the center of the Seattle Great Wheel is located at (0, 0) on a coordinate grid and the radius lies on the x-axis. Write an equation of a circle for the Seattle Great Wheel and then sketch an image of your equation on the graph provided or insert your own graph.
Center is 0,0 and diameter is 175
Answer:(x-0)^2 + (y-0)^2=30^2
Step-by-step explanation:
The equation of the circle is x^2 +y^2 = 7656.25
How to determine the equation of the circle?The given parameters are:
Center = (0,0)
Diameter = 175
The equation of a circle is represented as:
(x - a)^2 +(y - b)^2 = r^2
Where
Center = (a,b) = (0,0)
r = radius = 175/2
So, we have:
(x - 0)^2 +(y - 0)^2 = (175/2)^2
Evaluate
x^2 +y^2 = 7656.25
Hence, the equation of the circle is x^2 +y^2 = 7656.25
Read more about circle equations at:
https://brainly.com/question/1506955
9x -5y = 16
-3x + 7y = 16
-4x - 2y = 14
10x - 7y = 25
Gal Gadot borrows $125,000 at a yearly simple interest rate of 4.5%. How much would she pay, in total, if she paid off the loan in 15 years?
Answer:
$241,910.31
Step-by-step explanation:
Compound interest
125,000(1.045)^15
Also, Gal Gadot is the best!
Make a graph equation with Y-X = 5
Solve for x in the picture below
Answer:
x = 16
Step-by-step explanation:
The sum of the exterior angles of a triangle = 360°
Sum the exterior angles and equate to 360
5x + 12 + 10x - 37 + 9x + 1 = 360 , that is
24x - 24 = 360 ( add 24 to both sides )
24x = 384 ( divide both sides by 24 )
x = 16
Answer:
x = 15
Step-by-step explanation:
The sum of angles in a triangle is 180deg.
Let's mark the measures of the internal angles as A, B and C.
We know that
A + B + C = 180deg
180deg - A + 180deg - B + 180deg - C = (9x + 1)deg + (5x + 12)deg + (10x - 37)deg
3*180deg - (A + B + C) = (24x - 24)deg
540deg - 180deg = (24x - 24)deg
360deg = (24x - 24)deg
360 = 24x - 24
384 = 24x
15 = x
A movable section of stage has the shape of an isosceles right triangle. You need to apply 2 coats of paint to all but the bottom. The paint covers approximately 90 square feet per quart. How many quarts of paint do you need to buy? You need to buy quarts of paint.
Answer:
You need to buy 3 quarts of paint.
Step-by-step explanation:
Given
[tex]Coats =2[/tex]
[tex]Paint = 90ft^2/qt[/tex]
See attachment for stage
Required
Determine the number of quarts needed
First, we calculate the surface area of the stage (without the base).
This is calculated as:
Area = Area of Rectangle1 + Area of Rectangle 2 + 2 * Area of each triangle on both sides.
For the first rectangle, we have:
[tex]A_1 =Length * Width[/tex]
[tex]A_1 = 15.2 * 19.5 =296.4[/tex]
For the second rectangle, we have:
[tex]A_2 =Length * Width[/tex]
[tex]A_2 = 6* 19.5 = 117[/tex]
For each triangle on both sides
[tex]A_3 = 0.5 * Base * Height[/tex]
[tex]A_3 = 0.5 * 14 * 6 = 42[/tex]
So, the total area is:
[tex]Area = A_1 + A_2 + 2 *A_3[/tex]
[tex]Area = 296.4 + 117+ 2 *42[/tex]
[tex]Area = 497.4ft^2[/tex]
The amount of paint need is:
[tex]Amount = \frac{Area}{2\ coats}[/tex]
From the question, we understand that:
[tex]1\ coat =90ft^2/quart[/tex]
Multiply both sides by 2
[tex]2 * 1\ coat =90ft^2/quart * 2[/tex]
[tex]2 \ coats =180ft^2/quart[/tex]
So, we have:
[tex]Amount = \frac{Area}{2\ coats}[/tex]
[tex]Amount = \frac{497.4ft^2}{180ft^2/quart}[/tex]
[tex]Amount = \frac{497.4ft^2}{180ft^2}quart[/tex]
[tex]Amount = \frac{497.4}{180}quart[/tex]
[tex]Amount = 2.763\ quarts[/tex]
[tex]Amount \approx 3\ quarts[/tex] --- approximated
Which of the rectangular boxes shown has the greater volume?
A. The green box.
B. The purple box.
C. They have equal volumes.
D. There is not enough information to tell.
Answer:
C
Step-by-step explanation:
volumes are width x height x length
4 x 2 x 2 = 16
8 x 2 x 1 = 16
Jean can pack 5 cartons in 15 minutes. Which expression can be used to show the number of cartons Jean can pack in x hours? Group of answer choices
Answer: 20x
Step-by-step explanation:
First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour
Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:
= 5 ÷ 1/4
= 5 × 4
= 20 cartons.
Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:
= 20 × x
= 20x
an average speed of 57 km/h and the remaining 55 km at an average speed of 110 km/h. Find the average speed of the car for its entire journey.
Answer:
83.5km/h
Step-by-step explanation:
To find average you have to add up all the numbers in a given set then divide it by the amount of numbers in that set
The weight limit for suitcase is 23 kg. You want to make sure that you will not be charged baggage fees on your flight back. What is the weight limit in pounds? 1 kg = 2.2 pounds.
Answer:
33lbs
Step-by-step explanation:
A triangle with an area of 36 square meters has a base that is 10 meters long. What is the height of the triangle
