Your answer is -1.43
Which expression is equivalent to 0.90¯¯¯¯? 10÷11 9÷10 90÷10 1÷11
Answer:
9÷10
Step-by-step explanation:
9÷10=0.9
Miguel is flying a kite, holding his hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 25^{\circ} ∘ . If the string from the kite to his hand is 150 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer:
66.9 ft
Step-by-step explanation:
Kite string forms a right triangle with the horizontal 3.5 feet off of the ground
sin 25 = opp / hyp = height / 150
sin 25 = height / 150
150 sin25 = height but it is 3.5 feet off of the ground...add that in
3.5 + 150 sin25 = true height = ~ 66.9 ft
50 points each question. Please help. How do I solve?
[tex]I=\displaystyle \int ^{\pi}_{\tfrac{\pi}3} \dfrac{ \sin x}{1 + \cos^2 x} dx\\ \\\\\text{let,}\\\\~~~~~u=\cos x\\\\\implies \dfrac{du}{dx} =-\sin x\\ \\\implies \sin x~~ dx = -du\\\\\text{When}~~ x = \pi , ~~ u = \cos \pi = -1\\\\\text{When}~~ x = \dfrac{\pi}3 , ~~u = \cos \dfrac{\pi}3 =\dfrac 12\\ \\\\I =- \displaystyle \int ^{-1}_{\tfrac 12} \dfrac{du}{1+u^2}\\\\\\[/tex]
[tex]=\displaystyle \int ^{\tfrac 12}_{-1} \dfrac{du}{1+u^2}~~~~~~~~~~;\left[\displaystyle \int^{a}_b f(x) dx = - \displaystyle \int^{b}_a f(x) dx ,~ b < a\right]\\\\\\=\left[\tan^{-1} u \right]^{\tfrac 12}_{-1}~~~~~~~~;\left[ \ddisplaystyle \int \dfrac{dx}{ 1+ x^2} = \tan^{-1} x + C \right]\\\\\\=\tan^{-1} \left( \dfrac 12 \right) + \tan^{-1} 1\\\\\\=\tan^{-1} \left( \dfrac 12 \right) + \dfrac{\pi}4 \\\\\\=1.249[/tex]
What is 1,580,391 to the nearest hundred thousand
Answer:
the answer should be 1,600,000
Step-by-step explanation:
hope this helps ya!!
Answer:
Step-by-step explanation:
1,5x0,000 x holds the place that you'll want to note if it's 5 or larger, to determine if you round up or down. Because in the problem you've been given, it's an 8, so round up
1,600,000 is the answer then.
In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?
x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68
Answer: x > 64 and x < 68 is another way of rewriting inequality.
Step-by-step explanation:
To qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches.
⇒The inequality 64 < x < 68, where x represents height,gives the range of height.
⇒In other words range of height can be x > 64 and x < 68 , such that both conditions are applied to single actor.
[with the use of or it will appear to give priority by actor to follow any 1 conditon]
1 optimization calculus question, 50 pts please help
Answer:
radius: 14.96 in
length: 47 in
Step-by-step explanation:
The dimensions of the package with maximum volume can be found by differentiating the volume function, subject to the constraint on the dimensions.
__
volume functionThe volume of the cylindrical package is ...
V = πr²h
The constraint on the dimensions is ...
circumference + length = 141 inches
2πr +h = 141 . . . . . at maximum volume
Solving the second equation for h, we can write the volume function in terms of r alone:
h = 141 -2πr
V = πr²(141 -2πr) . . . . substitute for h
V = 141πr² -2π²r³ . . . eliminate parentheses
__
derivativeDifferentiating with respect to radius, we find the radius at maximum volume must satisfy ...
V' = 282πr -6π²r² = 0
Dividing by 6πr, we can simplify this to ...
47 -πr = 0
r = 47/π ≈ 14.96 . . . . inches (radius)
h = 141 -2πr = 47 . . . inches (length)
This is about optimization problems in mathematics.
Dimensions; Height = 48 inches; Radius = 48/π inches
We are told the combined length and girth is 144 inches.
Girth is same as perimeter which is circumference of the circular side.
Thus; Girth = 2πr
If length of cylinder is h, then we have;
2πr + h = 144
h = 144 - 2πr
Now, to find the dimensions at which the max volume can be sent;
Volume of cylinder; V = πr²h
Let us put 144 - 2πr for h to get;
V = πr²(144 - 2πr)
V = 144πr² - 2π²r³
Differentiating with respect to r gives;
dV/dr = 288πr - 6π²r²
Radius for max volume will be when dV/dr = 0
Thus; 288πr - 6π²r² = 0
Add 6π²r² to both sides to get;
288πr = 6π²r²
Rearranging gives;
288/6 = (π²r²)/πr
48 = πr
r = 48/π inches
Put 48/π for r in h = 144 - 2πr to get;
h = 144 - 2π(48/π)
h = 144 - 96
h = 48 inches
Step-by-step explanation:
Amy babysat 5 nights during the month of April. She earned $40, $30, $32, and $45 for four nights. How much did she earn the fifth time if the mean of the data is $37?
Answer:
$38
Step-by-step explanation:
[tex] \frac{40 + 30 + 32 + 45 + x}{5} = 37[/tex]
[tex] \frac{147 + x}{5} = 37[/tex]
[tex]147 + x = 185[/tex]
[tex]x = 38[/tex]
GIVING BRAINLIEST :DDDD TYSM
Answer:
Step-by-step explanation:
what does each block mean
Find the area of the figure below
Solve for x and y:
Thanks for the help!
Answer:
x = 2
y = 15
Step-by-step explanation:
As the triangle is split with a line that is parallel to the base:
[tex]\implies x:6=6:18[/tex]
[tex]\implies \dfrac{x}{6}=\dfrac{6}{18}[/tex]
[tex]\implies x=\dfrac{6\cdot 6}{18}[/tex]
[tex]\implies x=\dfrac{36}{18}[/tex]
[tex]\implies x=2[/tex]
Similarly:
[tex]\implies y:20=6 : (6+x)[/tex]
[tex]\implies y:20=6:8[/tex]
[tex]\implies \dfrac{y}{20}=\dfrac68[/tex]
[tex]\implies y=\dfrac{6 \cdot 20}{8}[/tex]
[tex]\implies y=\dfrac{120}{8}[/tex]
[tex]\implies y=15[/tex]
Answer:
x= 5.18
y= 16.97
Step-by-step explanation:
Solve Y first-
trigonometric theorems-
[tex]c^2 =a^2 + b^2\\\\b^2 =c^2 - a^2[/tex]
[tex]y^2 =18^2-6^2 \\y^2 =324 - 36\\y^2= 288\\\sqrt{2} = \sqrt{288} \\ y=16.97[/tex]
solve x-
20-16.97=3.03
x=5.18
(I'm not sure if the answers are correct. I tried my best. I was confused to solve x though. )
3. The image shows a circle with center (4, 6) and radius 10 units.
Write a equation for this circle
Answer:
(x - 4)^2 + (y - 6)^2 = 100
Triangle ABC has < A ≅ < B and BC ≅ AC. Find m
there is no drawing how should I do
Tom has a gift box that is 3 units long, 6 units wide, and 12 units tall. What is the volume of the gift?
Answer:
216
Step-by-step explanation:
LxWxH fill it in 3x6x12=216
Anita said, "I'm leaving school today at 1:15."
Frank replied, "I was able to fool the nurse into letting me leave early once, but I got in trouble when she found out I was faking.
What form of punctuation is missing?
A.
quotation marks
B.
There is no missing punctuation.
C.
a semicolon
D.
a colon
Answer:
A
Step-by-step explanation:
The quotation mark is missing at the very end of the last quote right after:
I was faking.
Answer:
i think A
Step-by-step explanation:
The quotation mark is missing at the very end
pls help i need an A
Choose three equations that represent linear functions.
Which of the Question A & B?
Answer:
A) 50 households are randomly selected from the town; 14 own a dog
B) 98
Step-by-step explanation:
A) The first choice is the most logical because it doesn’t factor in the accommodations that the other two do.
B) There are 14 households that own dogs per 50 houses, so multiply by 7 to find how many dogs are in the whole town:
50 x 7 = 350 houses
14 x 7 = 98 households
Don’t get the steps don’t tell me the answer tho. Just tell me the steps ( I don’t want to cheat)
D. 4032 cups
Step-by-step explanation:
336 x 12 = 4032
Hope this helps!
Answer:
4,032
Step-by-step explanation:
Just multiply 336 times 12. This is becuase they are not asking for adele's amount.
Frank needs to pay R60 000,00 towards his son’s university fees in three years’ time. If he has R46 150,30 now, at what interest rate per year compounded monthly, must he invest his money?
Using compound interest, it is found that he must invest his money at a rate of 8.78% a year.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.In this problem, the parameters are as follows:
t = 3, A(t) = 60000, P = 46150.3, n = 12.
Hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]60000 = 46150.3\left(1 + \frac{r}{12}\right)^{12 \times 3}[/tex]
[tex]\left(1 + \frac{r}{12}\right)^{36} = 1.3[/tex]
[tex]\sqrt[36]{\left(1 + \frac{r}{12}\right)^{36}} = \sqrt[36]{1.3}[/tex]
[tex]1 + \frac{r}{12} = (1.3)^{\frac{1}{36}}[/tex]
[tex]1 + \frac{r}{12} = 1.00731451758[/tex]
[tex]\frac{r}{12} = 0.00731451758[/tex]
r = 12 x 0.00731451758
r = 0.0878.
He must invest his money at a rate of 8.78% a year.
More can be learned about compound interest at https://brainly.com/question/25781328
Find the area of each triangle
Base 5ft height 2 1/3 ft
Answer:
A = 5 [tex]\frac{5}{6}[/tex] ft²
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then
A = [tex]\frac{1}{2}[/tex] × 5 × 2 [tex]\frac{1}{3}[/tex] ← convert to improper fraction
= [tex]\frac{5}{2}[/tex] × [tex]\frac{7}{3}[/tex]
= [tex]\frac{5(7)}{2(3)}[/tex]
= [tex]\frac{35}{6}[/tex]
= 5 [tex]\frac{5}{6}[/tex] ft²
please answer this question
We are asked to solve the integral:
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dx}{\cos^{2}(x)-\tan (x)\cos^{2}(x)}}[/tex]
Re write as
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dx}{\cos^{2}(x)\{1-\tan (x)\}}}[/tex]
Using (1/cos x) = sec(x), we have
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{\sec^{2}(x)dx}{1-\tan (x)}}[/tex]
Now, substitute 1 - tan (x) = t, so that -dt = sec²(x) dx
[tex]{:\implies \quad \displaystyle \sf -\int \dfrac{1}{t}dt}[/tex]
[tex]{:\implies \quad \sf log|t|+C}[/tex]
[tex]{:\implies \quad \boxed{\displaystyle \bf \int \dfrac{dx}{\cos^{2}(x)-\tan (x)\cos^{2}(x)}=-log|1-\tan (x)|+C}}[/tex]
Where, C is any Arbitrary Constant
Which function has the same rate of change as fx= 3x+5
Answer:
Step-by-step explanation:
The rate of change is defined as the derivative of the function, or also known as the slope. The derivative here would be 3. Another function which has the same rate of change would be any function with a slope of 3. A few example are:
f(x) = 3x + 1
f(x) = 3x + 2
Sophie has $40 in an account. The interest rate is 5% compounded annually. To the nearest cent, how much interest will she earn in 3 years? $
Answer:
$ 6.31
Step-by-step explanation:
The TOTAL amount in the account in 3 years will be
40 ( 1+.05)^3 = 46.31
subtract the orignal 40 deposit to get the interest =6.31
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$40\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases}[/tex]
[tex]A=40\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A\approx 46.31~\hfill \underset{earned~interest}{\stackrel{46.31~~ - ~~46}{\approx 6.31}}[/tex]
2/5x + 7 = -11
Whats x? PLSSS HELP
Answer:
the answer to 2/5x+7=-11 is X=-45
Step-by-step explanation:
Multiply both sides by 5 to get rid of the division giving you 2x+35=-55
isolate the x Value by moving all non x numbers to one side giving you 2x=-90
divide by 2 to get X alone giving you x=-45
what two expressions make up 6x-10
Answer:
3x-5?
Step-by-step explanation:
I hope im right.
Week 3: Linear Functions
tranet started riding her bicycle 5 meters from her house. Her friends used a table to record the distance
traveled by Janet in 1-second intervals.
Time (seconds)
0
1
2
3
4
5
6
Distance (meters)
5
6.5
8
9.5
11
12.5
14
Which equation represents the time, x, and distance, y, as shown in the table?
A. y = 1.5x – 5
B. y = 5x - 1.5
C. y = 5x + 1.5
D. y = 1.5x + 5
Answer:
D. y = 1.5x +5
Step-by-step explanation:
The offered answer choices are equations in slope-intercept form. The constant in the equation is the y-intercept, the value of distance when time is zero.
y = mx +b . . . . m is slope; b is y-intercept
__
The table tells you that the distance value is 5 when the time value is 0. In the equation, that means ...
b = 5
Only one answer choice matches:
y = 1.5x +5
Ronaldo's sisters eat the remaining slices of the first loaf of banana
bread. Write an inequality to compare the amount of banana bread that
Ronaldo and his friends ate to the amount his sisters ate
what is the answer 5x+9-4x=17
Answer:
x=8
Step-by-step explanation:
If you combine like terms (5x and 4x) it would become:
x+9 = 17
subtract 9 on both sides
x=8
Answer:
8
Step-by-step explanation:
What is the least common denominator of the rational expressions below? 5/x2 - 3/6x2 + 12x
Answer:
The answer is c
Step-by-step explanation:
Cassie uses her phone 2 1/4 times as much as Margaret every day. If Margaret averages 1 2/3 hours of phone use per day, how much time does Cassie spend?