9514 1404 393
Answer:
195 ft
Step-by-step explanation:
The relationship between the horizontal distance, angle, and vertical height is given by ...
Tan = Opposite/Adjacent
Referring to the attached diagram, we have ...
tan(16°) = BT/MB
tan(25°) = BK/MB
Solving for BT and BK, we can describe their difference as ...
BT = MB·tan(16°)
BK = MB·tan(25°)
BK -BT = 35 = MB(tan(25°) -tan(16°))
Dividing by the coefficient of MB gives ...
MB = 35/(tan(25°) -tan(16°)) = 35/0.179562
MB = 195 . . . feet
Marcos is standing 195 feet from the base of the tree.
Using the diagram below, find the length of BC.
Please help-help-help
Answer:
both I think hope u get it right
What is 3.016 written in words?
A Three and sixteen tenths
B Three and sixteen hundredths
C Three and sixteen thousandths
D Three and sixteen ten-thousandths
A Petri dish is growing bacteria. It starts with 3 cells on day 1, 9 cells on day 2, and continues tripling the number of cells every day after that. How many cells of bacteria are there on day 5?
Answer:
3^5
Step-by-step explanation:
Given the graph that is shown. What is the range of the function??!
Answer:
[tex]-3\leq x[/tex] < 6
third answer choice
Step-by-step explanation:
select the table that represents a linear function
A.
B.
C.
D.
which one PLEASE HELP
Answer:
The answer is D.
Step-by-step explanation:
use the quotient rule to find the derrivatives of 3/x^2
With full process
Answer:
[tex]\displaystyle \frac{d}{dx} \Big [ \frac{3}{x^2} \Big ]=-\frac{6}{x^3}[/tex]
Step-by-step explanation:
We can use either the Power Rule or the Quotient Rule to find the derivative of 3/x².
Power Rule: [tex]\displaystyle \frac{d}{dx}[ x^n] = nx^n^-^1[/tex]Rewrite [tex]\displaystyle \frac{3}{x^2}[/tex] as [tex]\displaystyle 3\cdot \frac{1}{x^2}[/tex] which is equivalent to [tex]3\cdot x^-^2[/tex].
Now we can apply the power rule to 3x⁻². Subtract 1 from the exponent and multiply the coefficient by -2.
3(-2)x⁻³ = -6x⁻³This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex].
Quotient Rule: [tex]\displaystyle \frac{d}{dx} \Big [ \frac{f(x)}{g(x)} \Big ]=\frac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]Substituting 3 for f(x) and x² for g(x), we get:
[tex]\displaystyle \frac{(x^2)(0)-(3)(2x)}{(x^2)^2}[/tex]Simplify.
[tex]\displaystyle \frac{-6x}{x^4}[/tex]Using exponent rules, we can rewrite this as:
[tex]-6x^1^-^4 = -6x^-^3[/tex]This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex], which is the same as what we got using the product rule.
Answer:
[tex]\displaystyle \frac{d}{d x}\left[\frac{3}{x^2}\right] = -\frac{6}{x^{3}}[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] denote two functions of [tex]x[/tex]. Assume that [tex]g(x) \ne 0[/tex]. The quotient rule states that:
[tex]\displaystyle \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right] = \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2}[/tex].
In this question:
The numerator of the fraction is [tex]f(x) = 3[/tex] (a constant function.)The denominator of the fraction is [tex]g(x) = x^{2}[/tex].Find [tex]{f}^{\prime}(x)[/tex] and [tex]{g}^{\prime}(x)[/tex].
Notice that the value of [tex]f(x)[/tex] is constantly [tex]3[/tex] regardless of the value of [tex]x[/tex]. By the constant rule, [tex]{f}^{\prime}(x) = 0[/tex].
For [tex]{g}^{\prime}(x)[/tex], consider the power rule:
if [tex]m[/tex] represents a rational number (such as [tex]2[/tex],) then by the power rule, [tex]\displaystyle \frac{d}{d x}\left[{x}^{m}\right] = m\, {x}^{m-1}[/tex].
Apply this rule to find [tex]{g}^{\prime}(x)[/tex].
[tex]\begin{aligned}{g}^{\prime}(x) &= \frac{d}{d x} \left[x^{2}\right] \\ &= 2\, x^{2 - 1} \\ &= 2\, x\end{aligned}[/tex].
Substitute [tex]f(x) = 3[/tex], [tex]{f}^{\prime}(x) = 0[/tex], [tex]g(x) = x^{2}[/tex], and [tex]{g}^{\prime}(x) = 2\, x[/tex] into the quotient rule expression to find [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right][/tex]:
[tex]\begin{aligned}&\; \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] \quad \genfrac{}{}{0em}{}{\leftarrow f(x) = 3}{\leftarrow g(x) = {x}^{2}} \\ =&\; \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right]\\ =&\; \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2} \\ =& \; \frac{0 \, x^2 - 3\, (2\, x)}{\left({x}^{2}\right)} \\ =&\; -\frac{6}{x^{3}}\end{aligned}[/tex].
Therefore, [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] = -\frac{6}{x^{3}}[/tex].
Can somebody plz help answer the missing terms correctly thanks so much!!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answer:
Step-by-step explanation:
your mom
Answer:
9. 5
10. 3
11. 1
12. 7
13. 48
14. 24
15. 9
16. 6
PLEASE HELP! :C BRAINLEST WILL BE GIVEN!
the answer's 85
Step-by-step explanation:
pemdas ig
A cleaning company charges $3 per square foot and a flat fee of $100. Which of the equations below shows the cost y, in dollars, of cleaning a patio that is x square foot? Hint: find the key words and corresponding amounts for "m" and "b."
Step-by-step explanation:
Y= 3x + b
As, to know the total, which is y, we need to solve for the cost
So first for money per square foot = $3
For square foot = x
So, price for x square foot = $3x (here this is the value of m)
Now, for value b,
$100 is added to the cost as its the charge, as the flat fee
So the value of b = $100
So, y=3x+100
you have an intial amount of $45 in a savings account and you deposit an equal amount into the account each week. After 5 weeks the account holds $105. Write an equation that repersents the amount y (in dollors) of money in the account after x weeks
Answer:
$45 * X weeks = Y money
Step-by-step explanation:
PLEASE HELP ASAP!! Will give BRAINLIEST for the first correct answer!
Dr. Hammer noticed that the distribution of scores for his psychology class's last unit test was
not normal. In fact, the class results were positively skewed. According to this, which of the
following would be true?
OPTIONS:
A. The mean, median, mode would all be the same
B. The mean would be higher than the median and mode
C. The mean and median would be the same, but the mode would be higher
D. The mode and median would be higher than the mean
Answer:
E
Step-by-step explanation:
Answer:
B. The mean would be higher than the median and mode
Step-by-step explanation:
A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid
9514 1404 393
Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
__
The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
The answer is 470.16 cm²
Is (-1,2) a solution to the following linear equation:
2x + y = 2
Answer:
No
Step-by-step explanation:
plug in the variables into the equation
(x,y)
(-1,2)
2(-1)+2=2
2*-1=-2
-2+2=0
2 does not equal 0 so therefore no, it is not a solution
yoooyoyooyoyoyoyoyoyoyooyo help
Answer:
Step-by-step explanation:
according the the pythogryamthreme the distance between 30 degress and 40 would vary since the length of 40 would change there by multipling 2 to 40 and 30 then times that by pie then divide it by 2 you should get the value for x, but for y it is more complex you see you much find the slope and plabora of the value x and 40 then using the 2 numbers times it by 30 after divide both numbers to each other resulting in the answer
What is the final amount if 784 is decreased by 1% followed by a 4% increase?
Give your answer rounded to 2 D
Answer:
807.21
Step-by-step explanation:
for the 1 % decrease
1/100 × 784 = 7.84
784 - 7.84 = 776.16
then 4% increase
4/100 × 776.16 = 31.0464
776.16 + 31.0464= 807.2064
in 2 Decimal places
807.21
Answer:890
Step-by-step explanation:
Please help!! Why is sin(20) = sin(160) = -sin(200) = -sin(340)?
These relations all follow from the identity,
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
Notice that 160° = 180° - 20°, so if x = 180° and y = 20° above, we get
sin(160°) = sin(180°) cos(20°) - cos(180°) sin(20°)
We know sin(180°) = 0 and cos(180°) = -1, so we end up with
sin(160°) = sin(20°)
For the other, notice that 200° = 360° - 160°, and 340° = 360° - 20°.
Answer:
Step-by-step explanation:
sin 20 is the same as sin 60 because 180-60=20. sin 20 is the same as -sin200 because 200-180=20
sin 340 is the same as sin 20 because 360-340=20. So all four of these connect and they all equal 20. Also, they all equal .3420 (rounded)
help me find the area :)
Answer:
20.625 ft²
(hope this is right :)
help please i hate math
Evan won the 200-yard dash. If his average speed was 16 feet per second what was his time for a he dash A. 0.27 B 0.625 C 0.16 D 0.875
Answer:B. 0.27
Step-by-step explanation:
If the circumference of a circle is rational, the area is always rational.
Answer:
Yes!!!
Step-by-step explanation:
Since π is non-terminating non-recurring i.e., an irrational, thus the area will always be rational provided with the circumference is rational.
Is the following a function?
{-1,5), (2, 5), (3,5) (8,5)}
Answer:
Yes
Step-by-step explanation:
A function is where each x value maps to one y-value -> and that is true here.
Even though the 5 is repeated, different x-values are used, so that is okay.
It would just be a straight line.
Iced tea and lemonade sell for different prices per gallon at Chicken-Fill-Up. Two gallons of iced tea and 3 gallons of lemonade cost a total of $23.25. Five gallons of iced tea and 4 gallons of lemonade cost a total of $41.50. What is the price per gallon for each drink at Chicken-Fill-Up?
Answer:
the price per gallon for each drink is $4.5 and $4.75 respectively
Step-by-step explanation:
The computation of the price per gallon for each drink is as follows;
Let us assume the ice tea be x
And, lemonade be y
So the equations are
2x + 3y = $23.25 .......(i)
5x + 4y = $41.50 ................(ii)
Now multiplied by 5 and 2 in equation 1 and 2
10x + 15y = $116.25
10x + 8y = $83
7y = 33.25
y = $4.75
Now put the y value in any of the equation
2x + 3($4.75) = $23.25
x = $4.5
So, the price per gallon for each drink is $4.5 and $4.75 respectively
i need help asp pls.
Shaneya purchased a membership to play basketball at her local gym. The membership costs $75 for the year, plus she pays $3 to rent equipment each time she goes. If Shaneya doesn't want to spend any more than $150 on basketball for the year, what is the maximum amount of times can she go to the gym to play?
Answer:
25
Step-by-step explanation:
Step one:
given data
We are told that Shaneya purchased a membership to play basketball at her local gym.
Costs = $75 for the year,
Rent = $3 for equipment each time she goes
Given that she has $150 to spend,
Step two:
Firstly, let us model the situation
let the total amount she has to spend be y
and the number of time she goes to the gym be x
y= 75+3x
for y= 150, let us find the value of x
150= 75+3x
150-75= 3x
75= 3x
divide both sides by 3
x= 75/3
x=25 times
The maximum amount of times is 25
Solve:
(-5) + (-18) =
A-13
B
--23
C С
23
D
13
it is -23 I think
Step-by-step explanation:
(-5)+(-18)=-23
Find the area of the polygon.
Simplify the following by combining like terms:
1y - 8xy + 7x - 5y + 4xy + 9x
Answer:
-4y-4xy+16x
Step-by-step explanation:
Hope this helps!! If you need it step by step I'll comment it in the comments.
simplify 3 to the 2nd power + 1 x 2
At a swimming pool the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5. If the number of people not wearing sunscreen was 30, then how many people were wearing sunscreen?
Answer:
42 people are wearing sunscreen
Step-by-step explanation:
Step one:
given data
We are given that the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5.
i.e 7:5
number of people not wearing sunscreen is 30
let us use part to part method to solve this problem
let the number of people wearing sunscreen be x
so,
7/5= x/30
cross multiply we have
5x=210
divide both sides by 5
x= 210/5
x=42 people are wearing sunscreen
Answer:
I think the answer is 42 to 30. 42 kids wearing sunscreen and 30 kids were not. 30 divided by 5 is 6. 6 x 5 is 30. so 6 x 7 is 42. Hence 42 to 30. :)