8+3=11 6-1=5 11+5=16 5/16
A) 4/7
B) 9/16
C) 4/9
help me find Find m< G .
Answer:
∠G=110°
Step-by-step explanation:
The 4 interior angles of a kite add up to 360. 100+40=140. 360-140=220. E and G are the only angles left so we know together they must equal 220. And ∠E and ∠G are congruent angles beceause of kite rules. So, we divide by 2 to get how much angle E and G are individually.
At an intersection in Normal, Illinois, there were 90 vehicle accidents with 168,199 vehicles passing through the intersection. Determine the accident rate per 1000 vehicles.
help pretty please!
Cyrus lives 11 miles due south of Adriana, Adriana live 19 miles due west of Jane, Jane lives 12 miles due south of Madisyn.
The shortest distance between Cyrus' house and Jane's house is
•21.95
•481.802
•0.52
The shortest distance between Adriana's house and Madisyn's house is
•504.901
•22.47
•44.42
Answer:
A.) 21.95
B.)22.47
Step-by-step explanation:
A.) An easy way to solve this is to use the Pythagorean theorem. Since the only person between Cyrus and Jane is Adriana, we will use her as a measuring point. Adriana's distance to Jane is 19, we will set a = 19, Adriana also is 11 miles away from Cyrus, and we will set b = 11. Now we plug it into the Pythagorean theorem.
[tex]a^2+b^2=c^2\\19^2+11^2=c^2\\\sqrt{482} =\sqrt{c^2}\\ 21.95=c[/tex]
B.) Using the same principle but for Adriana and Madisyn, we will use Jane as she is between them. Adriana is 19 miles from Jane, so we will set a=19, Madisyn is also 12 miles from Jane, so we will set b=12. Plug it for the Pythagorean theorem.
[tex]a^2+b^2=c^2\\19^2+12^2=c^2\\505=c^2\\\sqrt{505}=\sqrt{c^2}\\ 22.47 = c[/tex]
Convert 85 miles per hour to meters per second. (Use 1.61 km = 1 mile)
show the steps
Answer:
38.0 m/s
Step-by-step explanation:
Units conversion can be done by multiplying by appropriate conversion factors. Each conversion factor has a value of 1: the numerator is equal to the denominator, but the units are different. The units are chosen so that cancelling unwanted units gives the set of units you want.
__
[tex]\dfrac{85\text{ mi}}{1\text{ h}}\times\dfrac{1.61\text{ km}}{1\text{ mi}}\times\dfrac{1000\text{ m}}{1\text{ km}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{85\cdot1.61\cdot1000\text{ m}}{3600\text{ s}}\\\\\approx\boxed{38.0\text{ m/s}}[/tex]
Use the quadratic formula to solve the equation 2k(k+5)= -25
So, we need to solve the quadratic equation from quadratic formula as per the question, but before starting, let's first recall that, for any quadratic equation of the form ax² + bc + c = 0, the discriminant is given by D = b² - 4ac, and the value of x is given by :
[tex]{\boxed{\bf{x=\dfrac{-b\pm \sqrt{D}}{2a}}}}[/tex]Also, their are no real solutions of x i.e their are only imaginary values of x iff D < 0, equal and real roots iff D = 0 and real and distinct roots iff D > 0. So, let's convert the given equation to the standard form ax² + bx + c = 0 and then we will find the discriminant and then we will be solving for k ;
[tex]{:\implies \quad \sf 2k(k+5)=-25}[/tex]
[tex]{:\implies \quad \sf 2k^{2}+10k=-25}[/tex]
[tex]{:\implies \quad \sf 2k^{2}+10k+25=0}[/tex]
Now, on comparing this with the standard equation, we will get a = 2, b = 10 and c = 25, and then D = (10)² - 4 × 2 × 25 = 100 - 200 = - 100, now as D < 0, so their will be imaginary values of k, so now solving for k will yield by using the Quadratic Formula ;
[tex]{:\implies \quad \sf k=\dfrac{-10\pm \sqrt{-100}}{2\times 2}}[/tex]
[tex]{:\implies \quad \sf k=\dfrac{-10\pm 10\iota}{2\times 2}}[/tex]
[tex]{:\implies \quad \sf k=\dfrac{2(-5\pm 5\iota)}{2\times 2}=\dfrac{-5\pm 5\iota}{2}}[/tex]
[tex]{:\implies \quad \boxed{\bf{k=\dfrac{-5+5\iota}{2}\:\:,\:\: \dfrac{-5-5\iota}{2}}}}[/tex]
This is the required answer
A triangle has sides with lengths of 6 yards, 10 yards, and 12 yards. Is it a right triangle?
yes
no
Submit
How can you use mental math to find 195 × 6?
Find (g•f)(3)
f(x) = |x + 2|
g(x)=-x^2
Answer:
-25
Step-by-step explanation:
This question is asking for a composite function.
Let's take this step-by-step!
[tex]f(x) = |x + 2|\\g(x) = -x^2[/tex]
(g•f)(3) means [tex]g(f(3))[/tex]
In English, this means we put 3 into f(x), and use the result for g(x).
First let's do f(x):
[tex]f(3) = |3 + 2| = |5| = 5[/tex]
The lines mean "modulus"/"absolute value" which makes any number positive
For example,
[tex]|-3| = 3[/tex]
[tex]f(3) = 5\\g(f(3)) = g(5)\\g(5) = -(5)^2 = -25[/tex]
11. Joe lists his expenses to make a budget. Which of
these is a variable expense?
A. He pays about $400 in rent.
B. He spends $95 a month eating at
restaurants.
C. He pays $250 each month for his car
payment.
D. His cable bill is $40 each month
Answer:
B
Step-by-step explanation:
Because of inflation, prices at restaurants would go up.
Question 5 (1 point)
A tow truck exerts a force of 1000 N on a car, accelerating it at 0.5 m/s/s. What is
the mass of the car?
Answer:
tangina napaka pogi ko +41
Fill in the blank
The composite figure shown is made up of a cylinder and a
12 cm
4 cm
20 cm
Answer: cone
Step-by-step explanation:
The bottom figure is a cylinder. A cylinder is basically a rectangle wrapped around two circles.
The top figure is a cone. A cone’s net looks like a triangle with a curved base wrapped around a circle. If you don’t believe the top figure is a cone, think about what ice cream cones look like. The top figure is a cone.
Please help!
Olivia's mom decided to wallpaper the living room. At the store, the wallpaper was selling for $11.68 for a roll with 100 linear feet. What is the price per linear foot of the wallpaper?
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 15 km/h. How fast (in km/hr) is the distance between the ships changing at 4:00 p.m.? (Round your answer to three decimal places.)
Distance is the product of speed and time. The rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.
What is the distance?Distance is the product of speed and time. It is given by the function,
[tex]\rm Distance = Time \times speed[/tex]
Given at noon the distance between two ships is 170 km. Furter ship A is moving towards the east at a speed of 40 km/h, therefore, the distance covered by Ship A in 4 hours will be,
[tex]\rm \text{Distance covered by Ship A in 4 hours} = 4 \times 40 = 160\ km[/tex]
The distance covered by Ship B in 4 hours will be,
[tex]\rm \text{Distance covered by Ship B in 4 hours} = 4 \times 15= 60\ km[/tex]
At 4 pm the distance between the two ships is the hypotenuse of the red triangle as shown below,
[tex]\rm Hypotenuse = \sqrt{10^2 + 60^2} = \sqrt{100+3600 }= 60.827\ km[/tex]
The rate of change in the distance between the two ships can be written as,
[tex]\rm \text{Rate of change of distance} = \dfrac{170-60.827}{4} = 27.293\ km/h[/tex]
Hence, the rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.
Learn more about Distance:
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HELP, i need help!!!!!!!!!!!!!!
Answer:
t = 7.46, 0.42
Explanation:
h = 126t - 16t² [ "h" is height, "t" is time ]
when height is 50 feet
126t - 16t² = 50-16t² +126t -50 = 016t² -126t +50 = 0==================
[tex]\sf use \ quadratic \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0[/tex]
==================
[tex]\Longrightarrow \sf t = \dfrac{-126\pm \sqrt{126^2-4\left(-16\right)\left(-50\right)}}{2\left(-16\right)}[/tex]
[tex]\Longrightarrow \sf t = \dfrac{63\pm\sqrt{3169}}{16}[/tex]
[tex]\Longrightarrow \sf t = 7.46, \ 0.42[/tex]
Let's find
h=126t-16t²Put h=50
-16t²+126t=50-16t²+126t-50=0Use quadratic formula
[tex]\\ \rm\Rrightarrow t=\dfrac{-126\pm\sqrt{126²-4(-16)(-50)}}{-32}[/tex]
[tex]\\ \rm\Rrightarrow t=7.5s,0.4s[/tex]
In triangle ABC, what is the measure of A if a = 11, b = 13, and c = 7?
57.79°
49.62°
38.17°
32.21°
pls
Answer:
A= 57.79 degrees
B= 32.58 degrees
C= 89.63 degrees
Step-by-step explanation:
hope this helps!
Answer:
A. 57.79
Got it right on Plato
39 28. If y = (1 - 3x), find the value of dy! dx at x = -1.
Answer:
the answer to this question is 52.18
Given the cost function C(x) = 0.81x + 60, 420 and the revenue function R(x) = 1.87x, find the break-even point
Answer:
x = 57,542.8571
Step-by-step explanation:
C(x) = 0.81x + 60,420
R(x) = 1.87x
At break even point, Cost function and revenue function becomes equal.
-> C(x) = R(x)
-> 0.81x + 60,420 = 1.87x
-> 60420 = 1.87x - 0.82x
-> 60420 = 1.05x
-> x = 60420/1.05
-> x = 57,542.8571
Thus, at break even point x = 57,542.8571
Please help the assignment is due today
Answer:
D
Step-by-step explanation:
The equation of the circle is (d) (x -3)^2 +(y - 1)^2 = 58
How to determine the circle equation?The given parameters are:
Center, (a,b) = (3,1)Point, (x,y) = (0,-6)Start by calculating the radius using:
r^2 = (x -a)^2 +(y - b)^2
So, we have:
r^2 = (0 -3)^2 +(-6 - 1)^2
Evaluate
r^2 = 58
The circle equation is then calculated using:
(x -a)^2 +(y - b)^2 = r^2
This gives
(x -3)^2 +(y - 1)^2 = 58
Hence, the equation of the circle is (d) (x -3)^2 +(y - 1)^2 = 58
Read more about circle equations at:
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im confused can somebody help me please
well, we know the piece-wise function is [tex]f(x)= \begin{cases} 7x+10&x < 0\\\\ 7x+20&x\geqslant 0 \end{cases}[/tex]
hmmm so what's f(-1), namely what is f(x) when x = -1?
well, when x = -1, hmm -1 is less than 0, so the subfunction that applies to that will be when "x" is less than 0, namely the part of 7x + 10, so we can say
f(-1) = 7(-1) + 10
f(-1) = 3
so hmm what's f(0) or namely, what's f(x) when x = 0?
well, what subfunction applies when x = 0? well, it has to be the subfunction with "x greater or equals to 0", x ⩾ 0, so then is 7x + 20
f(0) = 7(0) + 20
f(0) = 20.
After performing 1 simulation as the first step in her significance test, Emma does 99 more. For each simulation, she randomly reorganizes the subjects into two groups, A and B, of size 25. In the simulations, group A always plays the role of the treatment group and group B the role of the control group.
After each simulation, she subtracts the average for group B from the average for group A. The distribution of the differences for all 100 simulations is shown in the histogram.
In the original experiment, the average for the treatment
group was 1.6 higher than the average for the control group.
In what percentage of simulations is the average for group A at least 1.6 higher than the average for group B?
Answer Choices:
A: 1
B: 5
C: 1.6
D: 2
Using the histogram, it is found that the percentage of simulations is the average for group A at least 1.6 higher than the average for group B is given by:
A: 1.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
In this problem, the histogram shows that out of the 100 simulations, only 1 had a difference of at least 1.6, as the bin corresponding to [1.6, 2] has value of 1 and the bins to the right of this have values of 0.
Hence, the percentage is given by:
P = 1/100 x 100% = 1%.
Which means that option A is correct.
More can be learned about histograms at https://brainly.com/question/25836450
What is the rule for the sequence 600,300,150,75
Answer:
y=x/2
Step-by-step explanation:
hope u have a good day! pls give brainliest
What is the area of the figure?
A. 18 yd
B. 54 yd
C. 72 yd
D. 90 yd
Mikes parents bought him new gaming console he gets 72612312 games n puts in 5312 how much does he have left
Answer:
Seventy-two million, six hundred and seven thousand games remaining
please mark brainliest
Answer:
72607000
Step-by-step explanation:
just subtract 5312 from 72612312
Shortly after their arrival, Europeans began introducing pigs to the Americas as a source of food. Some escaped, and others were intentionally released into the wild,
where they thrived. Assume that the wild pig population is modeled by the
formula P = P0•(1.2)^t .If there were five million wild pigs in 2010 (no one really knows the exact number), what was the population of wild pigs in 2000?
Answer: About 800 thousand
The more accurate value is 807,528 but this is also an approximation.
=======================================================
Work Shown:
[tex]t = \text{number of years since the year 2000}[/tex]
[tex]P_0 = \text{population (in millions) in the year 2000}[/tex]
[tex]P = P_0(1.2)^t\\\\5 = P_0(1.2)^{10}\\\\5 \approx P_0*6.1917364224\\\\P_0 \approx \frac{5}{6.1917364224}\\\\P_0 \approx 0.80752791444922\\\\P_0 \approx 0.807528\\\\[/tex]
That's the rough population of wild pigs (in millions) for the year 2000.
Multiply by [tex]10^6[/tex] to get it in terms of units instead.
[tex]0.807528\times10^6 = 807,528[/tex]
There were roughly 800 thousand wild pigs in the year 2000.
Whats the answer to this
Answer:
about 11
Step-by-step explanation:
please help and please leave a legit answer
Answer:
y= -12/x + 3
Step-by-step explanation:
Here's my answer
The area of the circle
Answer:
A=1
4πd2=1
4·π·122≈113.09734
Step-by-step explanation:
Answer:
113.04 feet :)
Step-by-step explanation:
First we divide 12 by 2 to find the radius!
12/2 = 6
Now we can solve!!
3.14(6^2)
3.14(36)
113.04
Have an amazing day!!
Please rate and mark brainliest!!
HELP MEEEEE
Write the equation for each translation of the graph y=|1/2x-2|+3
one unit to the right
At midnight the temperature
was -12°C. Twelve hours
later the temperature had risen
19°C. What was the midday
temperature?
Answer:
7C
Step-by-step explanation:
Worth 100 points IF answered correctly:
Answer:
8/6
Step-by-step explanation:
Sam has 8 times the number of eggs Kyle has can be expressed as:
[tex]\displaystyle \large{8\cdot \dfrac{1}{6}}[/tex]
As given, the number of eggs Kyle has is 1/6 so out of 6 eggs, Kyle only had 1.
Therefore, 8 multiplies/times the number of eggs is:
8/6
