Answer:
2.5 hours
Step-by-step explanation:
To solve this question we can use the exponencial function:
P = Po * (1 + r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the time.
In this case, we have Po = 8, P = 7 and r = -5% = -0.05. So, we can solve for t:
7 = 8 * (0.95)^t
0.95^t = 0.875
log(0.95^t) = log(0.875)
t * log(0.95) = -0.1335
t * (-0.0513) = -0.1335
t = -0.1335 / (-0.0513) = 2.6023 hours
Rounding to the nearest half-hour, we have t = 2.5 hours
Answer:
2.5
Step-by-step explanation:
I had this question and got it right
One base of a trapezoid is 4 in more than twice the length of the second base. The height of the trapezoid is 2 in less than the second base. If the area of the trapezoid is 4 in^2, find the dimensions of the trapezoid.
Answer:
Step-by-step explanation:
Let us represent
1st base of trapezoid = a
2nd bass of trapezoid = b
Height of trapezoid = c
One base of a trapezoid is 4 in more than twice the length of the second base.
a = 2b
The height of the trapezoid is 2 in less than the second base.
h = b - 2
Area of a trapezoid = 1/2(a + b)h
If the area of the trapezoid is 4 in^2
Substituting
4 = 1/2(2b + b)b - 2
4 = 1/2(3b)b - 2
Cross Multiples
4 × 2 = (3b)b - 2
6 = 3b² - 6b
Hence,
3b² - 6b - 6
find the dimensions of the trapezoid.
Indique cuáles afirmaciones son verdaderas (V) y cuáles falsas (
+5 está a la derecha de +3.
-3 está a la izquierda de +3.
-5 está a la a la derecha de -4.
Answer:
+5 esta a la derecha de +3 y -3 esta a la izquierda de +3
Below is the graph of a trigonometric
function. It intersects its midline at
(1.25, -2.75), and it has a minimum point
at (4.75, -6.25).
什 +
-6 -4 -2
I
4
3
2
1
-2
-3 +
GA
-4
Y
-5+
-6
-7-
-8-
co
-9
2
4 6
(1.25, -2.75)
8
(4.75, -6.25)
10 12 14
I
→x
I
What is the amplitude of the function?
I
The amplitude of the trigonometric function is found as 4.5.
What is a trigonometric function?The trigonometric functions are described as those real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
When we refer to the graph, it is found to intersect the midline at (1.25, -2.75),
We know that the minimum value of the function is 6.25 units below the midline.
Therefore, we can then define amplitude of the function as the half the distance between the maximum and minimum values.
Amplitude = (maximum - minimum) / 2
Amplitude = (2.75 + 6.25) / 2
Amplitude = 4.5
We then can conclude that the graph of a trigonometric function. that intersects its midline at (1.25, -2.75), and it has a minimum point at (4.75, -6.25) is 4.5.
Learn more about trigonometric functions at:
https://brainly.com/question/25618616
#SPJ1
Please help me solve this and please show steps. If you get it right i will give you brainliest.
Answer:
I think it is 15 sorry if this is wrong
169 as sum of odd numbers
Answer:
3 odd numbers can make 169, for an example,
33 + 63 + 73
If my answer helped, then kindly mark me as the brainliest!!
Thank You!!
Answer:
Step-by-step explanation:
Sum of first n odd numbers=n²
13²=169
Therefore sum of 13 odd numbers is 13²
1+3+5+7+9+11+13+15+17+19+21+23+25=169=13²
find the median of the following 80 82 84 86 88 90 92
Answer:
86
Step-by-step explanation:
A solid cylinder of height 9 cm has a diameter of 14 cm.
This cylinder has a cylindrical hole of diameter 6 cm at its
centre.
Calculate the volume of the hollowed cylinder.
V = πr^2h
V1 = π14/2^2•9
V1 = π7^2•9
V1 = π49•9
V1 = 1,385.442360233099
V2 = π6/2^2•9
V2 = π3^2•9
V2 = π9•9
V2 = 254.4690049407733
V = V1 - V2
V = 1,385.442360233099 - 254.4690049407733
V = 1,130.973355292326 or 1,130.97
Thus, the volume of the cylinder is 1,130.97cm^3.
Below. What is m∠1?
m∠1 =
Answer:
m∠1 = 70°
Step-by-step explanation:
Step 1
Sum of angles on a straight line = 180°
Hence:
180° - 101°
= 79°
Sum of interior angles in a triangle = 180°
Therefore,
m∠1 = 180° - (79 ° + 31°)
m∠1 = 180° - 110°
m∠1 = 70°
What is the rate of change between (-3.7, 1.4) and (-3.5,1)?
Answer:
-2
Step-by-step explanation:
the rate of change or slope (M) is -2
Hope this helps:P
A friend who works in a big city owns two cars, one small and one large. Three-quarters of the time he drives the small car to work, and one-quarter of the time he drives the large car. If he takes the small car, he usually has little trouble parking, and so is at work on time with probability 0.9. If he takes the large car, he is at work on time with probability 0.6. Given that he was on time on a particular morning, what is the probability that he drove the small car?A. 0.890.B. 0.768.C. 0.829.D. None of the listed.
the probability that he drove the small car is 0.890 (option A).
Using Bayes' theorem to solve the problem given, let us represent the following events:
A: Friend drives the small carB: Friend drives the large carC: Friend is on timeGiven that three-quarters of the time he drives the small car and one-quarter of the time he drives the large car, we can calculate the prior probabilities:
P(A) = 3/4 and P(B) = 1/4.
Also, given that he usually has little trouble parking with probability 0.9 when driving the small car and is on time with probability 0.6 when driving the large car, we can calculate the likelihoods:
P(C|A) = 0.9 and P(C|B) = 0.6
Using Bayes' theorem, we can calculate the posterior probability of driving the small car given that he was on time on a particular morning:
P(A|C) = P(C|A) * P(A) / (P(C|A) * P(A) + P(C|B) * P(B))= 0.9 * 3/4 / (0.9 * 3/4 + 0.6 * 1/4) = 0.890
for more questions on probability
https://brainly.com/question/13076729
#SPJ11
48 POINTS!!!!! given tan Ф = 4/5, find all other trig functions.
sin =
cos =
tan =
csc =
sec =
cot =
Step-by-step explanation:
let : y = Opponent side, x= Adjecent side
and r= hypotenuse
tan 0 = 4/5
y/x = 4/5 => y =4, x=5
so, r = √4²+5²=√16+25=√41
sin = y/r = 4/ √41
cos = x/r = 5/√41
tan = y/x = 4/5
csc = r/y = √41 /4
sec = r/x = √41 /5
cot = x/y = 5/4
So
sinØ=P/H=4/√41cosØ=B/H=5/√41cotØ=5/4secØ=√41/5cscØ=√41/4(a) An angle measures 28°. What is the measure of its complement?
(b) An angle measures 132°. What is the measure of its supplement?
Complementary angles has sum of \(90^{o}\) and supplementary angles have sum of \(180^{o}\) , The answer is \(62^{o}\) and \(48^{o}\) .
What do you mean by angle?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.
What is complementary and supplementary angle?When two angles' measurements add up to 90 degrees, they are said to be complementary. When two angles' measures sum up to 180 degrees, they are said to be supplementary. Keeping in mind that the letter s follows the letter c in the alphabet and that 180 is greater than 90 can help you avoid conflating these definitions.
\(28^{o}\)
complement = \(90^{o}-28^{o}\) = \(62^{o}\)
\(132^{o}\)
supplement= \(180^{o}-132^{o}\) = \(48^{o}\)
To learn more about angles visit:
https://brainly.com/question/14569348
#SPJ1
What is the probability of student liking music given they already like
Answer:
So so so easy its 1 because all of them like music
Two interior angles of a convex pentagon are right angles and the other three interior angles are congruent. in degrees, what is the measure of one of the three congruent interior angles?
Answer:
\(120^{0}\)
Step-by-step explanation:
Given: pentagon (5 sided polygon), two interior angles = \(90^{0}\) each, other three interior angles are congruent.
Sum of angles in a polygon = (n - 2) × \(180^{0}\)
where n is the number of sides of the polygon.
For a pentagon, n = 5, so that;
Sum of angles in a pentagon = (5 - 2) × \(180^{0}\)
= 3 × \(180^{0}\)
= \(540^{0}\)
Sum of angles in a pentagon is \(540^{0}\).
Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;
\(540^{0}\) - (2 × \(90^{0}\)) = \(540^{0}\) - \(180^{0}\)
= \(360^{0}\)
So that;
the measure of the interior angle = \(\frac{360^{0} }{3}\)
= \(120^{0}\)
The measure of one of its three congruent interior angles is \(120^{0}\).
In the figure above AB = 4x + 6 and BC = 7x + 15. If AC = 120, find the length of segment AB.
Answer:
x = 9
Step-by-step explanation:
AB = 4x + 6 and BC = 7x + 15 AC is the sum of AB and BC
so 4x + 6 + 7x + 15 = 120 add like terms
11x + 21 = 120 subtract 21 from both sides
11x = 99 divide both sides by 11
x = 9
Stone runs 1 mile five times a week. How many miles does 4 he run each week? Write the equation you would use to solve. Then, fill in the grid with your answer. Tip: Fill in your answer as a fraction greater than 1.
The number of miles in 4 weeks is 20 mules
How to determine the number of milesFrom the question, we have the following parameters that can be used in our computation:
Stone runs 1 mile five times a week
This means that the rate is
Rate = 1 mile * 5 per week
So, we have
Rate = 5 miles per week
For 4 weeks, we have
Distance = 5 * 4
Evaluate
Distance = 20 miles
Hence, the distance is 20 miles
Read more about rate at
https://brainly.com/question/24178013
#SPJ1
What is the distance between-5 and 8?
Answer:
13
Step-by-step explanation:
-5+5=0
0+8=8
5+8=13
Answer: 13
Step-by-step explanation:
i need help ASAP please and thank you !!!!!!!
Answer: He would make $1,170 a week.
Step-by-step explanation:
He makes $400 a week.
$55 per appliance sold, he sold 14 appliances.
$55 x 14 = $770
$400 + $770 = $1,170
Hope this helps!:)
#14
14. You bought a bicycle at a 12% discount. If
the discount was $19.20, then what was the
original price of the bicycle?
Answer:
$21.50 would be the original price
Step-by-step explanation:
$19.20+12%= $21.50
The degree of x^2 + x - 4 is 3 true or false?
Given
\(x^2+x-4\)The degree of a polynomial is the greatest exponent of x. In this case, the greatest exponent of x is 2.
Answer: false
(1/16)^(x+3) = (1/4)^(x+1)
Answer:
x=-5
Step-by-step explanation:
The answer is x = -5. The explanation and answer is in the image below.
Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places
Answer:
A
Step-by-step explanation:
A linear function is a straight line when graphed so is not B.
For confirmation of A note how for each increase of 3 in x we get the same increase of 5 in y.
Which graph best represents the equation y=2x+5?
Answer:
B?
Step-by-step explanation:
The graph y = 2x + 5 can be represented by the image attached below.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, An equation y = 2x + 5, we can graph this by assuming some arbitrary values of 'x' that correspond to some arbitrary values of 'y'.
When x = 0, y = 5.
x = 1, y = 7 ⇒ (1, 7).
x = 5, y = 15 ⇒ (5, 15).
x = - 5, y = - 5 ⇒ (- 5, - 5).
x = - 2, y = 1 ⇒ (- 2, 1).
learn more about graphs here :
https://brainly.com/question/2288321
#SPJ6
Please help! Will give brainiest! HIGH POINTS
Evaluate each of the following using ...
Answer:
F(0)= 0, 0
F(3)= -21, 3
F(2)= -12, 2
Step-by-step explanation:
explanation
Write the ratio 3 : 12 in its simplest form
Answer:
3 : 12
1 : 6
The final result is 1 : 6
Write 1 390 000 in standard form.
What is the domain of the function y=3√x-1?
O-00
O-1
O 0≤x<0
0 1
The domain of the function y=3√x-1 is x≥1/27, because the expression under the radical (x-1) must be non-negative. Therefore, the domain is all values of x greater than or equal to 1/27.
The domain of the function is -∞ < x < ∞.
What is Domain of Function?The domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables. The domain is indicated by the fact that the fraction's denominator is not equal to zero and by the fact that the digit under the square root bracket is positive. (When a function has fractional values.
We have the function: y = ∛ (x- 1)
Domain denotes all conceivable x values for which the function is defined.
The set of all real numbers constitutes the domain of a cube root function.
Given that the function provided is the cube root function.
As a result, the set of all real numbers for which the given function is defined is its domain.
So, -∞ < x < ∞.
Learn more about Domain of function here:
https://brainly.com/question/13113489
#SPJ5
the one who answers first and right will be marked as brainliest uncecerry answers will be reported
Lets solve
\(\\ \bull\sf\dashrightarrow x+4=9\)
Take 4 to right\(\\ \bull\sf\dashrightarrow x=9-4\)
\(\\ \bull\sf\dashrightarrow x=5\)
Step-by-step explanation:
x + 4 = 9
x = 9 - 4
x = 5
is it true?
can someone help me with this
Answer:
1. 40 members
2. 4 cheerleaders
3. 40 marbles
4. 2 marbles
5. 8
6. 24
Step-by-step explanation:
1. cross multiply 12/x=30/100
2. cross multiply 12/x=10/100
3. 18/x=45/100
4. x/40=5/100
5. we know 5% is 2 marbles. multiply by 4 to get 8 marbles.
6. 20%=8 marbles. 60/20= 3. 3 x 8= 24 marbles.
(PLEASE HELP ME)
Which of the following equations is correct?
Please help me thank you so much!!
Answer:
B
Step-by-step explanation:
Distributive property: a*(b + c)= (a*b) + (a*c)
\(\frac{3}{4}*(\frac{1}{2}+\frac{-2}{5})=\frac{3}{4}*\frac{1}{2}+\frac{3}{4}*\frac{-2}{5}\\\\=\frac{3}{8}+\frac{-6}{20}\\\\=\frac{3*5}{8*5}+\frac{-6*2}{20*2}\\\\=\frac{15}{20}+\frac{-12}{40}\\\\=\frac{15-12}{40}\\\\=\frac{3}{40}\)