21 to base 2 is 10101
109 to base 4 is 1231
1652 to base 9 is 2235
The mean age of 5 people in a room is 33 years. A person enters the room. The mean age is now 37. What is the age of the person who entered the room?
Mean is the average,
The total ages with 5 people would be 5 x 33 = 165
the total ages with the 6th person is 6 x 37 = 222
The age of the 6th person is 222 - 165 = 57 years old.
PLEASE HELP ILL GIVE BRAINLIEST
You walked 30 miles in 6hours. What was your average speed? a. 5mph b.80 mph c. 24mph d. 18 mph
Answer:
5 mph.
Step-by-step explanation:
5x6 equals 30. 30 divided by 6 equals five. Hope it helps
Answer:
A. 5mph
Step-by-step explanation:
30m = 6h
/6 /6
5m = 1h
5mph
Help me find the value of X please
Solve for h. 28 = h 9 + 23
Answer:
28 = h 9 + 23
28 = h 32
h = 32 - 23
h = 9
Which set of ordered pairs (x, y) could represent a linear function of x?? A ((-2,8), (0,4) , (2, 3) , (4,2)) B ((1,2), (1,3),(1,4), (1,5)) C ((-2,7) , (0,12),(2,17),(4,22)) D ((3,5), 4,7) , (3, 9) , (5,11))
Answer:
A linear function is when it goes up the same amount each time. The first one does because it increases by 2 each time, so A
Step-by-step explanation:
David drew this diagram of a picture frame he is going to make. Each square represents 1 square inch. What is the area of the picture frame?
Answer:
64 in²
Step-by-step explanation:
Find the area of the larger rectangle first, and then minus the area of the smaller rectangle.
The length of the larger rectangle
= 9-3 = 6 in
The width of the larger rectangle
= 17-1 = 16 in
The area of the larger rectangle
= 6×16
= 96 in²
The length of the smaller rectangle
= 8-4 = 4 in
The width of the smaller rectangle
= 13-5 = 8 in
The area of the smaller rectangle
= 4×8
= 32 in²
The area of the picture frame
= 96-32
= 64 in²
Awnser question and show your work if you can (i will give brainliest
Answer:
answer is -1.75
Step-by-step explanation:
[tex]y = 12 \\ y = - 4x + 5 \\ \\ \: \: \: \: 12 = - 4x + 5 \\ - 5 \: \: \: \: \: \: \: \: \: \: \: - 5 \\ \\ 7 = - 4x \\ \div - 4 \: \: \: \: on \: both \: sides \\ \\ - 1.75 = x[/tex]
Molly keeps a record of her money on a calendar. She had $112.64 saved prior to the week shown in the partial calendar. How much money did Molly have left at the end of this week?
bIt was like any other day. I woke up to the sound of Fletchling in the trees. Wait is that the sound of Fletchling!? Am I still dreaming or have all my dreams just come true?............
I did everything in my power to see if I was dreaming and I wasn’t. This was the start of a new beginning. I knew what had to happen next. Just then, Professor Oak walked in and my mom came into the room and said,”Charles I think you should stay here.”
But like any kid would do I didn’t listen.
Then it all came back like a flood.
I peeked out of a crack in my door and saw my mom and the Professor talking. I couldn’t tell what they were saying but there was a box on the table and it had my name on it. The addresser: Anonymous.
What is the perimeter?
Answer:
41.13m
Step-by-step explanation:
the circumference of the circle is 25.13 and the 8 on both sides equals to 16
Triangle ABC below has a right angle C and a hight CD. If AC is 3 units long and BC is 4 units long, what is the length of AB?
Answer:
AB = 5
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
=> 3² + 4² = AB²
=> AB = [tex]\sqrt{3^{2}+4^{2} }[/tex]
=> AB = 5
HELP!
Part B:
Is the distance between the flagpole in the street light was 22 yards, with the three landmarks from a right triangle? Show or explain your work.
Part C: if both of distance between the drinking fountain Street light in the drinking fountain in blackboard double, how would that affect the distance between the flagpole a street light? Sure it’s from your work here for you.
Given g(x)=3x+5g(x)=3x+5, find g(-6)g(−6).
Answer:
Step-by-step explanation:
hello :
g(x)=3x+5
g(−6).=3(-6) +5 = -18+5 = -13
Which equation represents a line which is parallel to the line y=7/2x-4
Answer:
y=-(7)/(2)x-5
Step-by-step explanation:
to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.
Answer:
y = 7/2x + 2
Step-by-step explanation:
to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.
Find the surface area of
the prism.
14 in.
7 in.
5 in.
The surface area is _in2
What is the length of LM ?
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
hope it helps ☺A rectangle with a length of 22 feet and an unkown width,W, has a perimeter of 74 feet. Set up and slove an equation to find the vaulur of W
Answer: W=15
Step-by-step explanation: The equation you set up is 2(L) + 2(W)=74
2(22) + 2W=74
44+2W=74
Subtract 44 from both sides
2W=30
Divide both sides by 2
W=15
At a point on the ground 50 feet from the foot of
a tree, the angle of elevation to the top of the tree is 53º. Find
the height of the tree.
Answer:
[tex] \tan(53) = \frac{x}{50} \\ x = \tan(53) \times 50 \\ x = 66.35 \: feet[/tex]
Step-by-step explanation:
I hope that is useful for you :)
The height of the tree with angle of elevation of 53⁰ is 66 ft.
What is Angle of Elevation?The angle of elevation is the angle between the horizontal line of sight and the object.
Here, Let the height of the tree be x ft.
The angle of elevation = 53⁰
Distance from ground = 50 ft.
According to question,
tan 53⁰ = x/50
x = 50 × tan 53⁰
x = 50 X 1.32
x = 66 ft.
Thus, the height of the tree with angle of elevation of 53⁰ is 66 ft.
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PLEASE HELPPPPPPPPPP
Answer:
y = 25.20 m
Step-by-step explanation:
By applying tangent rule in ΔABC,
tan(25)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{y}{BC}[/tex]
BC = [tex]\frac{y}{\text{tan}(25)}[/tex] --------(1)
Now we apply tangent rule in ΔABD,
tan(15)° = [tex]\frac{y}{BC+CD}[/tex]
tan(15)° = [tex]\frac{y}{BC+40}[/tex]
BC + 40 = [tex]\frac{y}{\text{tan}(15)}[/tex]
BC = [tex]\frac{y}{\text{tan}(15)}[/tex] - 40 -------(2)
From equation (1) and (2),
[tex]\frac{y}{\text{tan}(25)}=\frac{y}{\text{tan}(25)}-40[/tex]
[tex]\frac{y}{\text{tan}(25)}-\frac{y}{\text{tan}(25)}=-40[/tex]
[tex]y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40[/tex]
y(2.1445 - 3.7321) = -40
1.5876y = 40
y = 25.1953
y ≈ 25.20 m
Therefore, measure of y is 25.20 m.
Solve for x.
10
8
6
Answer:
18
Step-by-step explanation:
Intersecting Secants Theorem:
6(x + 6) = 8(8 + 10)
6x + 36 = 8(18)
6x + 36 = 144
6x = 144 - 36
6x = 108
x = 18
What's the equation for a circle of (2,-5) and a radius of 2
Answer:
(x+5)2+(y+5)2=22, or (x+5)2+(y+5)2=4.
Step-by-step explanation:
Answer:
(x - 2)^2 + (y + 5)^2 = 2^2
Step-by-step explanation:
Adapt the standard equation of a circle with center at (h, k) and radius r:
(x - 2)^2 + (y + 5)^2 = 2^2, where h = 2 and k = -5 and r = 2
What is the value of b?
Help please
Answer:
4/3 is ur answer which is equal to 6.92820323028
which i B's side length
Step-by-step explanation:
Find the area of the trapezoid
A. 168 in^2
B. 94.5 ft^2
C. 72 ft^2
D. 84 ft^2
Answer:
D. 84 ft^2
Step-by-step explanation:
Formula for area of a trapezoid:
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
The trapezoid shown has the following dimensions
base 1 = 9ft
base 2 = 12ft
height = 8ft
Using the following information we plug in the values into the formula
[tex]A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84[/tex]
Hence, the area of the trapezoid is 84ft² and your answer is D
Which is not a characteristic of an exponential parent function?
O A. It passes through (0,1).
O B. The domain is all real numbers.
O C. It goes through the origin.
O D. The range is positive real numbers (y > 0).
Given:
The characteristic of an exponential parent function in the options.
To find:
Which is not a characteristic of an exponential parent function?
Solution:
The exponential parent function is:
[tex]y=b^x[/tex]
Where, [tex]b>0[/tex].
At [tex]x=0[/tex],
[tex]y=b^0[/tex]
[tex]y=1[/tex]
It means the function passes through the point (0,1) but it does not passes through the origin. So, the statement in option A is true but the statement in option C is false.
The domain of the exponential parent function is all real numbers and the range is positive real numbers (y > 0). So, the statements in the options B and D are true.
Therefore, the correct option is C.
HELP! I HAVE NO IDEA HOW TO DO IT <3
Answer:
TY
Step-by-step explanation:
Nice
Thanks for the free Poi nts!
A man invests $16800 in a savings plan that pays simple interest at a rate of 5% per annum. Find the time taken for his investment to grow to $19800.
Answer: 3.57 years
Step-by-step explanation:
Based on the question given, the interest is the difference between the amount and the principal which will be:
= $19800 - $16800
= $3000
The formula for Simple interest is given as:
Interest = Principal × Rate × Time
3000 = 16800 × 5% × Time
3000 = 16800 × 0.05 × Time
3000 = 840 × Time
Time = 3000 / 840
Time = 3.57
The time taken to grow the investment is 3.57 years
Aretha's teacher will choose two students from a class of 10 to prepare a display. Assuming the teacher chooses these students at random,
what is the probability that Aretha will not be chosen?
Answer:
80% chance she will not be chosen
Step-by-step explanation:
the ratio of students picked would be 2:10 so there would be 8:10 students not chosen that is 80%. 20% chance she would be chosen.
I hope this is correct!
The probability that Aretha will not be chosen is 0.8.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that, Aretha's teacher will choose two students from a class of 10 to prepare a display.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Probability of choosing 2students =2/10
Probability of not choosing students = 1-2/10
= 8/10
= 0.8
Therefore, the probability that Aretha will not be chosen is 0.8.
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ABC is a right triangle. calculate the length of side BC (the hypotenuse)
Answer:
we have
C=(2,-1)
B=(-2,3)
since
BC is hypotenuse
length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer
Angle Sum Theorem
33°
87°
х
у
X = [? ]
please help! I will mark brainlest!!
Answer:
x=60
Step-by-step explanation:
everytime you have a right triangle it equals 180 degrees so you just have to add the two angles then subtract 180 from it and it you need Y just do 60-180=120 because it is an obtuse equals 180 as well.
Question 3
The population of a sample of bacteria triples every minute. If the initial population of the sample is 2 bacteria, Nicholas believes
the equation p-2(3)' can be used to find the total population after t minutes,
=
Is Nicholas correct? If not, why not?
a.No, Nicholas switched the initial population and the rate. The equation should be P - 3(2)'
b.No, Nicholas should have wrrtten a linear equation. The equation should be P - 2+ 31
c.Yes, Nicholas is correct.
Answer:
C. Yes nicholas is right.
A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Total
0.4
Dessert
No dessert
Total
Appetizer
0.1
0.2
0.3
No appetizer
0.3
0.4
0.7
0.6
1.0
What does the 0.2 in the highlighted cell mean?
A. 20% of the customers who ordered an appetizer did not order
dessert.
B. 20% of her customers did not order dessert.
C. 20% of her customers ordered an appetizer but no dessert.
D. 20% of her customers ordered an appetizer.
SUBMIT
PREVIOUS
In the table given in the question 0.2 means that 20% of her customers ordered an appetizer but not a dessert.
What is two way table?Two way table is a table which shows the frequencies or relative frequencies of some values in the data.
How to find frequency?From the table it is given that:
0.1=10% of the customers ordered both an appetizer and a dessert.0.3=30% of the customers ordered a dessert but not an appetizer.0.4=40% of the customers ordered a dessert.0.2=20% of the customers ordered an appetizer but not a dessert.0.4=40% of the customers neither ordered appetizer nor dessert.0.3=30% of the customers ordered an appetizer.0.7=70% of the customers did not order an appetizer.The total is of 100%.
Hence the highlighted cell mean contains 0.2 shows that 20% customers ordered an appetizer but not a dessert.
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