Answer:
1%
Step-by-step explanation:
24(400) = 9600 = total amt paid
9600 - 8000 = 1600 = amt of interest paid
I = PRT T = 2 yr
1600 = 8000(2)R
1600 = 16000R
1600/16000 = 1/10 = .01 = 1%
Which of the following statements is FALSE about the circumference of a circle?
PLEASE HELP
Answer: It's C=πr2
Step-by-step explanation: I took the test
Given the function y=-\frac{3\sqrt{x^5}}{4},y=− 4 3 x 5 , find \frac{dy}{dx}. dx dy . Express your answer in radical form without using negative exponents, simplifying all fractions.
Given:
The function is:
[tex]y=-\dfrac{3\sqrt{x^5}}{4}[/tex]
To find:
The value of [tex]\dfrac{dy}{dx}[/tex].
Solution:
We have,
[tex]y=-\dfrac{3\sqrt{x^5}}{4}[/tex]
It can be written as
[tex]y=-\dfrac{3}{4}x^{\frac{5}{2}}[/tex] [tex][\because \sqrt[n]x=x^\frac{1}{n}][/tex]
Differentiate with respect to x.
[tex]\dfrac{dy}{dx}=-\dfrac{3}{4}\times \dfrac{5}{2}x^{\frac{5}{2}-1}[/tex] [tex][\because \dfrac{d}{dx}x^n=nx^{n-1}][/tex]
[tex]\dfrac{dy}{dx}=-\dfrac{15}{8}x^{\frac{5-2}{2}}[/tex]
[tex]\dfrac{dy}{dx}=-\dfrac{15}{8}x^{\frac{3}{2}}[/tex]
[tex]\dfrac{dy}{dx}=-\dfrac{15}{8}\sqrt{x^3}[/tex]
Therefore, the value of [tex]\dfrac{dy}{dx}[/tex] is [tex]-\dfrac{15}{8}\sqrt{x^3}[/tex].
In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates units of the hypotenuse of this triangle
Given:
The vertices of a right triangle are:
[tex](-3,4),(3,4),(3,-4)[/tex]
To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]
[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]
[tex]AB=\sqrt{(6)^2+0}[/tex]
[tex]AB=\sqrt{36}[/tex]
[tex]AB=6[/tex]
Similarly,
[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]
[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]
[tex]BC=\sqrt{64}[/tex]
[tex]BC=8[/tex]
And,
[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]
[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]
[tex]AC=\sqrt{36+64}[/tex]
[tex]AC=\sqrt{100}[/tex]
[tex]AC=10[/tex]
Now, taking sum of squares of two smaller sides, we get
[tex]AB^2+BC^2=6^2+8^2[/tex]
[tex]AB^2+BC^2=36+64[/tex]
[tex]AB^2+BC^2=100[/tex]
[tex]AB^2+BC^2=AC^2[/tex]
By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
WILL GIVE BRAINLIEST
This triangle-based oblique pyramid has a volume of 13 cm 9 cm 4 cm 3 cm What is the height h of the pyramid?
Answer:
6.5
Step-by-step explanation:
Answer:
6.5 centimeters (proof below!)
Step-by-step explanation:
Which characteristics best describe an acute isosceles triangle
Answer:
answer is A i and iv
two sides meet at 90°
two sides are equal in lenght
GEOMETRY HELP WILL MARK BRAINLIEST!!!!
Answer:
PT = 11
Step-by-step explanation:
In a parallelogram, the diagonals bisect each other. So, QS cuts PR in half so that PT = TR
PT + TR = PR = 22
2 * PT = 22
PT = 11
Answer:
PT = 11
Step-by-step explanation:
Theorem: The diagonals of a parallelogram bisect each other.
So, if PR = 22, then PT = 11
See how easy that is if you know the theorem.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks the players to run from one corner to the corner diagonally across the field. How far do the players run?
Answer:
150 meters
Step-by-step explanation:
Answer:
150 metresStep-by-step explanation:
We can imagine the rectangle, when cut diagonally it forms a Right angled Triangle
Using this we can find the diagonal i.e hypotenuse.
From the question we know that,
Length = 120 metres
Width = 90 metres
So we can find the diagonal by keeping it as x using the pythogorean theorem.
[tex] {120}^{2} + {90}^{2} = {x}^{2} \\ 14400 + 8100 = {x}^{2} \\ 22500 = {x}^{2} \\ x = \sqrt{22500} \\ x = 150[/tex]
Charlie grew 3/4 of an inch on her 7th birthday. Her twin sister Lucy grew 1/2 of an inch. How much more did charlie grow more than lucy?
Answer: 1/4
Step-by-step explanation: 3/4-1/2= 1/4
A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2.
Answer:
16√3 cm³
Step-by-step explanation:
The volume of a triangular prism is given as:
V = (1/3)B*h
Where B is the area of the base and h is the height of the prism.
Given that B = 12√3. The height fro the diagram is BC.
Since ∠BAC = 30° and ∠BCA = 90°, we can find BC using trigonometric identity.
tan(30) = BC / AC
but AC = 4√3, hence:
tan(30) = BC / (4√3)
BC = 4√3(tan 30)
BC = 4
V = (1/3)B*h = (1/3)B* BC = (1/3) * 12√3 * 4 = 16√3 cm³
Answer:
its b
Step-by-step explanation:
i just took the test on edge
If the mass of an object is 50Kg and the acceleration is 2 m/s what is the force?
Answer:
Check pdf
Step-by-step explanation:
what is 40% off of $400.00
Answer:
$240
To find 40% of $400:
40% (or .4) • $400 = $160
**$160 is 40% of 400**
To find 40% **OFF** of $400:
$400 - $160 = $240
wasdwasdwasdwasdwasdwasdwasdwasd
Answer:
Yes of course I love this too
Step-by-step explanation:
Answer:
hahahahah lol..........btw thnks❤️
If p(t)=3t2–2t+15, use synthetic division to find p(3).
Answer:
27
Step-by-step explanation:
jus plugged in 3 into all the variables
Brooke watched 1/3 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1/5 of the movie left to watch. How much of the movie did Brooke watch at night?
Answer:
.466666666 or 46.66666% (the 6s go on forever)
Step-by-step explanation:
1/3 + 1/5 = 53.33333%
1 - .53 = 46.66666% is how much she watched last night
Find the area of the shaded region
4) What is the measure of the intercepted arc with a central angle of 72®?
Answer:
EGQ ERKNG BQEG'QERJ
Step-by-step explanation:
Find the circumference of the given circle. Use 3.14 for pi, and round your answer to the nearest tenth.
A) 59 in
B) 29.5 in
C) 19.2 in
D) 554.3 in
Answer:
Sorry, I can't complete this without knowing the radius, or diameter.
Step-by-step explanation:
URGENT, PLEASE ANSWERR If someone who is 5 feet tall uses a potato gun to shoot a potato in the air at 100 feet per second, we can use the function ℎ()=−162+100+5 to calculate how far the potato will be from the ground at any given second (t). What does the h(0) represent in the context of the problem?
Given:
Consider the function is:
[tex]h(t)=-16t^2+100t+5[/tex]
This function is used to calculate how far the potato will be from the ground at any given second (t).
To find:
The value of h(0) and its meaning in the context of the problem.
Solution:
We have,
[tex]h(t)=-16t^2+100t+5[/tex]
At t=0,
[tex]h(0)=-16(0)^2+100(0)+5[/tex]
[tex]h(0)=0+0+5[/tex]
[tex]h(0)=5[/tex]
Therefore, the value of h(0) is 5. It means the potato is 5 feet from the ground at the time of shooting.
Ayesha, Laurel, Gemma, Reid, Emma, Gita, and Maas write their names on small pieces of paper and put them into a hat. A name is pulled from the hat without looking. Use a fraction to describe the theoretical probability of each event. Then order the events from most likely to least likely. The name drawn starts with a "G." The name drawn does not start with a vowel. The name drawn ends with an "a." The name drawn contains an "e." The name drawn contains a "z."
Answer:
Emma and Maas and other people
will give brainliest
Answer:
whats (2x)x(76) x is 50 btw im new
Step-by-step explanation:
Choose the benchmark that 3-7/12
closest to
3-1/2
2.
3
Answer:
3
Step-by-step explanation:
Mrs. Smith wants to leave a 15% tip for the waitress. If the cost of the
meal is $65.99, how much would the waitress receive for the tip (to the
nearest cent)?
Answer:
$9.90
Step-by-step explanation:
65.99 x 0.15 = 9.90
As part of a survey, 500 boys were asked to name their favorite car. The results showed that 30 of the boys named a Corvette as their favorite car. What percentage of the boys in the survey named a Corvette as their favorite car?
A-6%
B-0.6%
C-60%
D-40%
help please!! i have 54:40 left!
Answer:
4/7 (first one)
Step-by-step explanation:
6-(2)/(2)+5=4/7
hope this helps
Answer:
6-2/2+5=4/7
The answer is 4/7 (option A)
I need help I am lost please help me
Answer:
6
Step-by-step explanation:
Because 6 is 6 times as 1, 12 is 6 times as 2, 18 is 6 times as 3 and so on.
Copy the shape and fill in the missing angle. Sow the work. Thanks.
Answer:
x = -11
Step-by-step explanation:
Hello There!
create an equation
x + 51 + 60 + 80 = 180
combine like terms
51 + 60 + 80 = 191
x + 191 = 180
subtract 191 from each side
180 - 191 = -11
we're left with
x = -11
Helppppppp...?????????????????????
Answer:
144(3/4)^1-n
Step-by-step explanation:
This is a geometric sequence, so if you divide 192 by 144 you will find that the common ratio r is 4/3. This would make the equation an=144(4/3)^n-1. However, that's not one of the options. If you plug in some numbers, you can see that 3/4 (the reciprocal of 4/3) can work as well if it's 3/4^1-n. 4/3^-1=3/4 and n-1(-1)=1-n
help me plzzzzzzzzzzzzzzzzzzz
Answer:
-5
Step-by-step explanation:
1*1=1
1-6= -5
Hope this helped!
1. At best buy they have a 50" TV that sells for $1450 and is on sale for 20% and sales tax is
7.5%. What is the final cost?