Answer:
-8
Step-by-step explanation:
This is the same as 4 x -2.
The parenthesis just means to multiply the number to the left by whatver is in the paranthesis when it is touching like that.
From the top of a lighthouse 170 feet high, the angle of depression of a boat out at sea is 24°. Find, to the nearest foot, the distance from the boat to the foot of the lighthouse. (The foot of the lighthouse is at sea level.)
Check the picture below.
A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0 ≤ x ≤ 100 (in dollars per suit), where x is the number of suits sold each week. Then the total revenue from selling 60 suits is $
Based on the marginal revenue function for the clothing manufacturer, the total revenue from selling 60 suits is $1,440.
What is the total revenue from selling the suits?
The marginal revenue function of 30 - 0.2x is the differentiated revenue function.
Performing an integration will therefore give us the revenue function as:
= 30x - 0.1x²
Now that we have the revenue function and know that x = 60 suits, the revenue is:
= (30 x 60) - (0.1 x 60²)
= 1,800 - 360
= $1,440
Find out more on the revenue function at https://brainly.com/question/19755858.
the height h of a projectile at any time t after launch is defined by the function h(t) =5t^2+13t + 6
Answer:
The equation sets the parabola. You can find the parabola vertex as:
then
This means that the maximum height is 11.375 m and a projectilereaches this height at 1.25 seconds.
The projectile initially launched at time t=0, so the initial height is h(0)=2 m
Step-by-step explanation:
solve for x ~
[tex]81x - 27x = 9[/tex]
thankyou ~
Listen ducky: 81x-27x=9
54x=9
X=1
---
6
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \:81x - 27x = 9[/tex]
[tex]\qquad \tt \dashrightarrow \:9(9x - 3x )= 9[/tex]
[tex]\qquad \tt \dashrightarrow \:(9x - 3x )= 1[/tex]
[tex]\qquad \tt \dashrightarrow \:6x = 1[/tex]
[tex]\qquad \tt \dashrightarrow \:x = \cfrac{1}{6} [/tex]
KellyConnect
Cameron Moore
Customer: "I just purchased 9 products from you at $44.00 each. I just realized my
company offers a 20% discount on all of your products. Can you tell me what my new
total should be?"
Answer:
$316.8
Step-by-step explanation:
9 x 44 = 396
396 × 0.80 = $316.8
or
396 * 0.20 = 79.2
396 - 79.2 = $316.8
This graph shows a proportional relational between the distance traveled by Tim on a road trip and the number
of hours for which he traveled.
Distance Traveled by Tim
250
200
150
Distance (mi)
100
50
0
10
6 8
Number of Hours
Which statement identifies the correct slope and the correct interpretation of the slope for this situation?
50
A The slope of the line is
1
so the distance traveled by Tim is miles every hour.
50
B The slope of the line is so the distance traveled by Tim is miles every hours.
1
1
The slope of the line is
50
so the distance traveled by Tim is miles every hour.
Using the proportional relationship, it is found that the correct statement regarding the slope of the relation is:
The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality, which is also called the slope.
Researching the problem on the internet, it is found that in 2 hours, Tim traveled 50 miles, hence:
k = 50/2 = 25.
The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.
More can be learned about proportional relationships at https://brainly.com/question/10424180
Andrea made her aunt a garden. The width is 8 3/7 ft and the length is 7 2/3 ft. What is the area of the garden?
NOTE: We are finding the area in the problem
Answer:
I think the area is 513/21
if z=-1-v3i and 26 = a +bi, then a =
and =
Need Help Confused give explanation please and thanks
Best friends, todd and Alexis, each receive bonus checks in the same amount. They decide to use their bonuses toward a savings plan for the next world cup soccer event in Russia. todds plan is to start with $1050 in a jar and add $32 every year for 4 years. Alexis deposits $1050 into a savings account that pays 3.2% interest annually for 4 years
The total amount which Todd will have after 4 years is $1,178
The total amount which Alexis will have after 4 years is $1,184
1050 + 32(4)=
1050 + 128
= $1,178.
For Alexis
(P x T x R)/100
(1050 x 4 x 3.2)/100
=13400/100
=$134 interest after 4 years.
Therefore, 1050 + 134
=$1,184.
I don’t get 2 and 3 I really need help
Answer:
Step-by-step explanation:
Opposite angles of a cyclic quadrilateral sum to 180 so
m < x = 180-105 = 75 degrees
m < y = 180 - 95 = 85 degrees.
Find the area of the figure.
A: 24.5 ft²
B: 44 ft²
C: 49 ft²
D: 14.8 ft²
Answer:
49ft²
Step-by-step explanation:
A=bh
A=bh=9.8·5=49
Write a proportion for the statement.
$118 per week is proportional to $472 per 4 weeks. The proportion is _____?
A proportion is a mathematical comparison between two ratios.
A ratio is a comparison between two numbers.
For instance, the ratio of apples to bananas in a fruit basket is 1 apple to 2 bananas:
[tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}[/tex]This is proportional to the ratio of apples to bananas in another fruit basket, which is 2 apples to 4 bananas:
[tex]\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex]To write a proportion from this information, we can compare the ratios by makign them equal to each other:
[tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}=\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex][tex]\dfrac{1}{2}=\dfrac{2}{4}[/tex]Solving the QuestionWe're given:
$118 per week$472 per 4 weeksThese are proportional$118 per week is one ratio:
[tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}[/tex]$472 per 4 weeks is another ratio:
[tex]\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}[/tex]Now, set them equal to each other to create a proportion:
[tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}=\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}\\\\\dfrac{118}{1}=\dfrac{472}{4}[/tex]Answer:Therefore, the proportion is [tex]\dfrac{118}{1}=\dfrac{472}{4}[/tex].
given : PK and PL - tangent
KM perpendicular KP
angle KML = 50°
Solve - angle KPL
Please help me with how to solve this, thanks!
Answer:
∠KPL = 80°
Step-by-step explanation:
As KM is perpendicular to KP, this means that KM is the diameter of the circle, as the tangent of a circle is always perpendicular to the radius.
The angle at the circumference in a semicircle is always a right angle. So if KM is the diameter then ΔKLM is a right triangle with ∠KLM = 90°
The sum of the interior angles of a triangle is 180°.
Therefore, ∠KLM + ∠KML + ∠LKM = 180°
As ∠KLM = 90° and ∠KML = 50°
⇒ 90° + 50° + ∠LKM = 180°
⇒ ∠LKM = 40°
As ∠PKM = 90° then
⇒ ∠PKL = 90 - ∠LKM
= 90 - 40
= 50°
Tangents from a common point to a circle are always equal in length, so as PK and PL are tangents from point P, then PK = PL
Therefore, ΔLPK is an isoceles triangle and so its base angles ∠PKL and ∠PLK will be equal.
Since ∠PKL = 50° then ∠PLK = 50°
Again, as the sum of interior angles of a triangle is 180°:
⇒ ∠KPL + ∠PKL + ∠PLK = 180°
⇒ ∠KPL + 50° + 50° = 180°
⇒ ∠KPL = 80°
The expression i10 is equivalent to
Answer: -1
Step-by-step explanation:
How many congruent faces does the shape below have?
A.
0
B.
1
C.
2
D.
3
Answer:
C. 2
Step-by-step explanation:
It has only 2 congruent faces- bases
Answer: the answer is c which is 2 , 2 faces
Step-by-step explanation: as the cylinder has 2 faces . The cylinder is a prism and any prism has 2 faces . HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .
without solving what can you tell about the solution to this equation?
Answer:
A
Step-by-step explanation:
B could be any number, and given that there is no sum, you cannot possibly determine what number B is.
Answer:
A
Step-by-step explanation:
An infinite solution has both sides equal.
In question 1, the left part is equal to the right part
1. Mrs. Lee cut a pie into 6 pieces. She
gave each of her 4 children a
piece of pie.
If Mrs. Lee divided the entire pie equally
among her children, what fraction of
the remaining pieces of pie did
Mrs. Lee give each child?
A 14 piece of pie
į piece of pie
1
с
3
piece of pie
1
D à piece of pie
4
B
Answer:
She would have two leftover slices
Step-by-step explanation:
Answer:
She gave each children 1 piece of pie. She will have 2 leftover slices so she can cut both in half and each child can get another half of a single pie.
evaluate F (-1) where f (x) is the piece wise function graphed below
Check the picture below.
I need this answer fast please factorise the following 16gh2 – 8hi + 24h =
Answer: 8h(2gh - i + 3)
Step-by-step explanation:
factorise 8 out as 8 is a comon factor of 16, 8 and 24
factorise h out together with 8 because all of them have h
please help i will give brainliest
Answer:
[D] 1/14
Step-by-step explanation:
Given that:
What is the probability of picking an orange marble and flipping tails?
Solution:
First let see how many orange marbles are there:
As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.
Now let see how many side a coin have:
As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.
Now multiply both together:
(1/7)× (1/2) = (1×1)/(7×2) = 1/14
This represents the probability of getting an orange marble and flipping tails.
In additionally 1/14 can't be simplify anymore.
Kavinsky
Answer:
[D] 1/14
Step-by-step explanation:
Knowing that there are 5 purple marbles, 1 brown marble, 1 orange marble. Since, on the given question all we need to know is the total marbles and the orange marbles.
Which the probability is 1/7
Now for the coin.
Knowing that there are two sides on a coin
Heads and tails (1/2)
Which is only 1/2 also known as 50% probability.
Now multiply straight across:
1/2 × 1/7
⇒ 1 × 1 = 1
⇒ 2 × 7 = 14
Thus, the answer is 1/14
can't be farther simplify.
[RevyBreeze]
A rectangle has a width of 3.5 inches and a length of x inches. If the diagonal of the rectangle is 12.5 inches, what is the value of x?
Answer:
12.0
Step-by-step explanation:
we solve using the pythagorean theorem.
sqrt of (12.5^2 - 3.5^2)
answer is 12
rounded of to the nearest tenth is 12.0
Callie runs 30 minutes a day. She has already run 90 minutes this week. How many days will it take her to run at least 240 minutes?
Your aunt sells magazine subscriptions by telephone. If each call she makes takes about 1/16 of an hour, how many calls can she make in 1/8 hours?
Answer:
2 calls
Step-by-step explanation:
1/16x=1/8
X=2
Find the product of 0.000879 and 1.028
Answer:
0.008791747
Step-by-step explanation:
0.000879
x 1.028
-------------------
0167
01580
000000
08790000
---------------------
8791747
0.000879 and 1.028 have NINE decimal places total, so add NINE decimal places from the LEFT to the above answer.
Final answer: 0.008791747
I hope this helps!
calculate the exact value of cos (a+b) given that cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π
The value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π, is 0.906.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees. The formula for cos compound angle using angle sum theorem can be given as,
[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)[/tex]
The exact value of cos (a+b) has to be find out. It is given that,
[tex]\cos a= \dfrac{3}{5}[/tex]
The value of a is lies between 0<a< π/2. The value of other side of the triangle using the Pythagoras theorem,
[tex]5^2={x^2+3^2}\\x^2=25-9\\x=\sqrt{16}\\x=4[/tex]
Thus, the value of sin a is 4/5 from the trigonometry ratio. the value of sine b is,
[tex]\sin b = -\dfrac{8}{17}[/tex]
The value of b is lies between 3π / 2 <b < 2 π. The value of the other side of the triangle using the Pythagoras theorem,
[tex]17^2={(-8)^2+y^2}\\y^2=289-64\\y=\sqrt{225}\\y=15[/tex]
Thus, the value of cos b is, 15/17. Put the values in above formula,
[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)\\\cos (a+b)=\dfrac{3}{5}\times\dfrac{15}{17}-\dfrac{4}{5}\times\dfrac{-8}{17}\\\cos (a+b)=\dfrac{9}{17}+\dfrac{32}{85}\\\cos (a+b)=0.906[/tex]
Thus, the value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π, is 0.906.
Learn more about the triangle angle sum theorem here;
https://brainly.com/question/7696843
#SPJ1
Plss help find the area of a composite figure
And show work bc
Answer:
193.4 meters squared
Step-by-step explanation:
Area of rectangle = 7 X 15 = 105
Area of semi circle = 1/2 X π X R^2
R = 7.5
R squared = 56.25
π = 3.1415932654........
1/2 X 3.1415.... X 7.5^ 2 = 88.35729338
Rounded to one decimal place = 88.4
105 + 88.4 = 193.4m^2
In a circle, a central angle of 2 radians intercepts an arc of 6 centimeters.
Find the length of the radius in centimeters.
Answer:
3 cm
Step-by-step explanation:
To solve this problem, we can use the Arc Length Formula. This states that s = r · [tex]\bf \theta[/tex], where s = arc length, r = radius, and [tex]\theta[/tex] is the measure of the central angle (in radians).
From the problem, we are given that s = 6 cm, [tex]\theta[/tex] = 2, and we need to solve for r. Substituting these values into the equation gives us the following:
6 = r · 2
Solving the equation gives us r = 3 cm. Hope this helps!
MIlo receives a commission of 8% on all sales. If his commission on a sale was $114.80, find the cost of the item sold.
Answer:
if we divide 114.80 by 8 we get 14.35. We do this to get the 1% of the cost.
since we now know that 14.35 is 1% we can multiply 14.35 by 100 and once we do this we get 1435
Find the interest on a loan with Principal =
$1000, Rate = 6%, Time = 2 years
Answer:
changing the currency $ to #
$1000 = #415,640.00
i=prt (formular)
given:
I =?
p = $1000 or #415,640.00
r = 6%
t = 2 years
i= 415,640.00×6×2÷100
i= #49876.8
without changing currency
i= 1000×6×2÷100
i=120