Answer:
Step-by-step explanation:
∡a = ∡b
“What is the minimum value of the function: x^2+24x-18? Show your work.”
Answer:
-162
Step-by-step explanation:
x²+24x-18=x²+24x+12²-12²-18=(x+12)²-162
(x+12)²≥0
(x+12)²-162≥-162
⇒ the minimum value of the function is -162
Please answer correctly! Please mark me as Brainliest!
Answer:
21m of high of diagram ok
Avery has two horses: Salt and Pepper. Every month, Salt eats 450 pounds of hay. Pepper is bigger, so he eats 550 pounds of hay each month. How many tons of hay do Salt and Pepper eat in a year?
Please help
Answer:
3.3 for pepper and 2.7 for salt which is 6 tons in total
Step-by-step explanation:
The number of tons of hay both Salt and Pepper eat in a year is 5.5 tons.
Given that, every month, Salt eats 450 pounds of hay. Pepper is bigger, so he eats 550 pounds of hay each month.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number of pounds of hay eaten by Salt in a year
= 450 × 12
= 5400 pounds
Number of pounds of hay eaten by Pepper in a year
= 550 × 12
= 6600 pounds
Total pounds of hay eaten by both the horses = 5400+6600
= 11000 pounds
In tons = 11000/2000
= 5.5 tons
Therefore, the number of tons of hay both Salt and Pepper eat in a year is 5.5 tons.
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A pole is centre of a circular pond of diameter 14m. Total height of a pole is 20m and its part inside a water is 3.5m. If a man 9f height 1.5m observed the top of the pole from the edge of pond, what is the angle of elevation does he get?
Answer:
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POSSIBLE POINTS: 0.71 An MP3 player has 60 songs stored on it. Of the songs, 21 are rock, 9 are rap, 18 are dance, and 12 are country. If songs are played randomly, find the probability of each event. A rap song is played
Answer:
outcome for rock = 21/60 = 7/20
outcome for rap = 3/20
outcome for dance = 3/10 or 6/20
outcome for country 1/5, 2/10 or 4/20
Step-by-step explanation:
possible outcomes = 21+9+18+12 = 60
outcome for rock = 21/60 = 7/20
outcome for rap = 3/20
outcome for dance = 3/10 or 6/20
outcome for country 1/5, 2/10 or 4/20
The probability of playing a rap song is 3/20.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
0.71 An MP3 player has 60 songs.
The sample space is the number of songs stored in MP3 player.
⇒ [tex]n(s)=60[/tex]
Number of rock songs, [tex]n(rock)=21[/tex]
Number of rap songs, [tex]n(rap)=9[/tex]
Number of dance songs, [tex]n(dance)=18[/tex]
Number of country songs, [tex]n(country)=12[/tex]
Formula for the probability of an event is [tex]P(e)=\frac{n(e)}{n(s)}[/tex]
Probability of playing a rock song, [tex]P(rock)=\frac{21}{60}[/tex]
⇒ [tex]\frac{7}{20}[/tex]
Probability of playing a rap song, [tex]P(rap)=\frac{9}{60}[/tex]
⇒ [tex]\frac{3}{20}[/tex]
Probability of playing a dance song, [tex]P(dance)=\frac{18}{60}[/tex]
⇒ [tex]\frac{9}{20}[/tex]
Probability of playing a country song, [tex]P(country)=\frac{12}{60}[/tex]
⇒ [tex]\frac{1}{5}[/tex]
Hence we can conclude that the probability of playing a rap song is 3/20.
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Your ship sinks and you swim to a nearby island. On this island, the inhabitants do not use money. The island residents use island fruit as money.
If 60 bananas = 20 coconuts
35 figs = 15 oranges
10 coconuts = 25 figs
200 figs = 1 boat
How many bananas would you need to purchase a boat to get off the island?
Answer:
240 bananas
Step-by-step explanation:
You would need 8 sets of figs. 10 coconuts is equal to 25 figs so you need 80 coconuts. You would need enough bananas to get 4 sets of coconuts. 60*4 = 240
Answer:
To buy the boat you would need 240 bananas.
Explanation:
3 bananas = 1 coconut
1 coconut = 2.5 figs
200 figs (price of boat) = 80 coconuts
80 coconuts (price of boat) = 240 bananas
A 20-foot ladder leans against a wall, making a 70° angle with the ground. To the nearest tenth of a foot, how far up the wall will the ladder reach? 6.8 6.9 I 3) 18.7 18.8
Answer:
4) 18.8
Step-by-step explanation:
What we are trying to find is the opposite of the triangle with the angle and the hypotenuse. The equation for that is sin(degrees) = opp/hyp
the degrees is 70, the opposite is x, and the hypotenuse is 20
sin(70) = x/20
0.93969262078 = x/20
18.7938524 = x
18.7938524 rounds to 18.8 so the answer is 4
Pleas help will give brainliest
Answer:
8 steps can be cut
Step-by-step explanation:
20 ÷ 2.5 = 8
What is the equation of a circle with center (2,-5) and
radius 4?
Answer:
Choice C
Step-by-step explanation:
The Equation of a circle is (x-h)^2+(y-k)^2=r^2, where h and k are the x and y coordinates respectively of the center of the circle, and r is the radius. Because the center here is (2, -5), we have (x-2)^2+(y- - 5)^2, and the two minuses become (y+5)^2. This eliminates A and B. The radius is 4, so r^2=16, and thus, we get C.
Hey please help me this is an Angle sum theorem!!!
Answer:
900° and 1260°
Step-by-step explanation:
The sum of the interior angles of a polygon is calculated as
sum = 180° (n - 2) ← n is the number of sides
(2)
Here n = 7 , then
sum = 180° × 5 = 900°
(3)
Here n = 9 , then
sum = 180° × 7 = 1260°
Brook makes this conjecture: Because the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal.
Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
[tex]\Delta Sector=\dfrac{1}{2}r^2\theta[/tex]
Whereas the area of a circle for a radius r is given as
[tex]\Delta Circle=\pi r^2[/tex]
Now the ratio is given as
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}[/tex]
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }[/tex]
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
hello help if u dont know dont even try to comment.
Answer:
distance = 8.35 inch
Step-by-step explanation:
here's your solution
=> scale is , 1 inch = 20 feet
=> distance between room in feet = 167 feet
=> so, distance in inch = 167/20
=> distance = 8.35 inch
hope it helps
-6(g+4) < 12 solve the 2 step inequality
Answer:
g > -6
Step-by-step explanation:
-6(g+4) < 12 (Given)
-6g - 24 < 12 (Distributive Property of Inequality)
-6g < 36 (Addition Property of Inequality)
g > -6 (Division Property of Inequality)
Sign Changes Since it was divided by a Negative number.
Helpppp I’m in an assignment I need a good grade so I can play sports!!
Answer:
21 more shirts
Step-by-step explanation:
150-45=105
105/5=21
F (x)= 3x +4 , find f (2)
Answer:
10
Step-by-step explanation:
First substitute x for 2
3(2) + 4
6+4
10 When x is 2 f = 10
Hi guys! I really need help with this because im so stressed with my other classes and i need to pass this class in order to graduate. can someone help
Answer:
[tex]94.6ft^{2}[/tex]
Step-by-step explanation:
[tex]A=\frac{(bx_{1}+bx_{2} )h }{2}[/tex]
[tex]A=\frac{(7.7+14.3)(8.6)}{2}[/tex]
[tex]answer:- 94.6 ft^{2}[/tex]
[tex]---------[/tex]
hope it helps...
have a great day!!
Answer:
area = 94.6 ft.sq
Step-by-step explanation:
here's your solution
==> area of trapezium = 1/2*(sum of parrel side)*distance between them
==> area of trapezium = 1/2(7.7 + 14.3)*8.6
==> area of trapezium = 1/2*22*8.6
==> area = 11*8.6
==> area = 94.6 ft.sq
hope it helps
What is the median of this group of numbers?
46, 48, 48, 54, 56, 58, 80
What is 1 × 10 − 3 written in standard form? math
Answer:
7
Step-by-step explanation:
When working with order of operations, use the acronym 'PEMDAS' (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
The equation should basically be done in that order.
There are no parenthesis,
no exponents,
But there IS multiplication.
1 x 10 = 10.
So now, what is left over is 10 - 3.
There addition, but there IS subtraction.
10 - 3 = 7.
7 is what is left over.
Therefore, 1 x 10 - 3 in standard form is 7.
Help me please!!!!!!!!!!!!!!!!
Answer:
X=5
Step-by-step explanation:
3x+4=5x-6
3x+10=5x
10=2x
5=x
PLZ HELP QUICK WILL MARK BRAINLIEST
2x + 3y = 0
X + 2y = -1
Is this one solution
No solution
Or infinite solution
write the expressions for when you translate the graph of y = |x+2| a) one unit up b) one unit down c) one unit to the left d) one unit to the right
Hello!
This question is about which values you are changing when you are transforming an equation.
Let's go through the parent function for an absolute value equation and its various transformations.
[tex]y=a|b(x-c)|+d[/tex]
Since we are only looking at horizontal and vertical transformations, we only need to worry about the c and d values.
The c value of a function determines a function's horizontal position, and the d value of a function determines a function's vertical position.
One thing to note here is that the c value is being subtracted from the x value, meaning that if the function is being transformed to the right, you would actually be subtracting that value, while the d value behaves like a normal value, if it is being added, the function is transformed up, and vice versa.
Now that we know this, let's write each expression.
a) [tex]y=|x+2|+1[/tex]
b) [tex]y=|x+2|-1[/tex]
c) [tex]y=|x+3|[/tex]
d) [tex]y=|x+1|[/tex]
Hope this helps!
If the measure of angle 2 is 100 degrees. What is the measure of angle 8? Why?
Answer:
Angle 8 = 100 degrees
Step-by-step explanation:
Angle 2 = Angle 8
Because, they are alternate exterior angles.
Clara goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs? (7.EE.4a)
a.
6.25x + 7.50 = 26.25
b. 6.25x − 7.50 = 26.25
c. 7.50x + 6.25 = 26.25
d. 7.50x − 6.250 = 26.25
Answer:
A
Step-by-step explanation:
You pay for each round a ticket so the variable will be with 6.25
HELP PLEASE! THANKS :)
Answer:
If im not wrong, it has to be "How much does your dog weigh"
Step-by-step explanation:
(-4,-1), (4, 5)
What’s the slope
Answer: m = 3/4
Step-by-step explanation:
Answer: The slope is 3/4
Step-by-step explanation:
Use y2-y1/x2-x1 to find it
Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each.
Find q in this geometry problem please.
Answer:
3
Step-by-step explanation:
Use scale factor
6/q=8/4
TIMER !! HELP!!
We KNOW that the______ is going to be located SOMEWHERE on the Axis of Symmetry (theblue Dashed Line)
A . Vertex
B. Y - intercepts
C. zeros
D. mirror points
Answer:
A
Step-by-step explanation:
The vertex of a parabola lies on the axis of symmetry.
Water flows through a pipe at a rate of 91 fluid ounces every 2.5 weeks. Express this rate of flow in cups per hour. Round your answer to the nearest hundredth.
Answer:
The answer is "[tex]0.22\ \frac{\ fl \ oz}{\ hours}\\\\[/tex]"
Step-by-step explanation:
rate[tex]=\frac{91 \ fl oz}{2.5 \ weeks}\\\\[/tex]
Requird
Calculating the rate as per hour:
[tex]rate=\frac{91 \ fl oz}{2.5 \ weeks}\\\\[/tex]
there are 168 hoours in week so the ate becomes
[tex]rate=\frac{91 \ fl oz}{2.5 \times 168 \ hours}\\\\[/tex]
[tex]=\frac{91 \ fl oz}{420 \ hours}\\\\= 0.2167 \ \frac{\ fl \ oz}{\ hours}\\\\[/tex]
[tex]=0.22 \ \ \frac{\ fl \ oz}{\ hours}\\\\[/tex]