Let f(x) = x^2
If g(x) is the graph of f(x) shifted up 4 units, write a formula for g(x)
G(x)=?
Choose the <,>,= symbols to answer the question
Answer:
Step-by-step explanation:
1.<
2.<
3.=
4.=
5.>
6.<
7.<
8.>
an astronaut drops a rock off the edge of a cliff on the moon. the distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t^2. what is the average speed, in meters per second, of the rock between 5 & 10 seconds after it was dropped?
Answer:
The average speed between the times given is 12 m/s
Step-by-step explanation:
Here, we want to calculate rate of change between the times given
Mathematically , we can get the average rate of change using the formula
f(b)-f(a)/b-a
in this case, b = 10 s and a = 5 s
f(b) is d(10) = 0.8(10)^2 = 80
f(a) is d(5) = 0.8(5)^2 = 20
Rate of change is thus;
(80-20)/(10-5) = 60/5 = 12 m/s
Please help I'm so stressed over this math ok here it is It costs $12.50 to enter an amusement park and $1.50 to play each game. Solve an inequality to find the number of games, g, Cole can play if he has $35 to spend at the park. Enter your answer in the box.
Answer:
12.50 + 1.50x < 35
Step-by-step explanation:
X represents the number of games that Cole plays. The admission price plus the money he spends on games should be LESS THAN or EQUAL to 35 dollars.
The table and the graph show the population of a country between 2010 and 2015.
b. The average rate of population growth between 2013 and 2015 is 0.35 million
people per year. If the population continues to grow at this rate, in which year will
it reach 40 million? Explain your reasoning.
Answer:
I wanna say in the year of 2018.
Step-by-step explanation:
In 2018 the population will reach 40 million.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let us consider x years later it would reach 40 million.
So, 39.1 + 0.35 x = 40
0.35x= 40- 39.1
0.35x= 0.9
x= 2.57
x= 3 years
Hence, In 2018 the population will reach 40 million.
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01:59:41
What is the length of the other diagonal, DF?
Sofia cuts a piece of felt in the shape of a kite for an art
project. The top two sides measure 20 cm each and the
bottom two sides measure 13 cm each. One diagonal,
EG, measures 24 cm.
05 cm
O 16 cm
F
21 cm
O 32 cm
20 cm
20 cm
E
G
13 cm
13 cm
D
w
Answer:
EF² = FA²+ EA²
20² = 12² + FA²
400 -144 = FA²
256 =FA²
16cm = FA
Now in Δ DAG
DG² = AG² + DA²
13² = 12 ²+ DA²
169 -144 = DA²
25 = DA²
5cm = DA
Then that means diagonal DF = DA + FA
= 5 + 16
= 21cm
Step-by-step explanation:
The value of the other diagonal DF is 21.66 cm.
What is Pythagoras Theorem?The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.
Given:
The top two sides measure 20 cm each and the bottom two sides measure 13 cm each.
EG= 24 cm.
As, Diagonal ED divides the diagonal DF into two equal parts.
Now, Using Pythagoras theorem in triangle DOG
x²/4 + y² = 13²= 169
and, Using Pythagoras theorem in triangle EOD
x²/4 + (24 -y)² = 20²= 169
x²/4 + 576 -48y+ 169 - x²/4 = 400
-48y= -345
y= 7.1785
now, y²= 169 - x²/4
51. 6601 = 169 - x²/4
x/2 = 10.83
x = 21.66 cm
Thus, the other diagonal DF is 21.66 cm.
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Solve the answer
-3(2x-3)+10x=33
Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.
(a) How many ways can this be done, if the order of the choices is relevant?
?
(b) How many ways can this be done, if the order of the choices is not relevant?
Answer:24 , 4
Step-by-step explanation:
Given
There are 4 objects
(a)When the order is relevant
We use permutation to get the no of ways, that is
Choosing 3 objects out of 4
[tex]^4P_3=\dfrac{4!}{(4-3)!}=\dfrac{4!}{1!}\\^4P_3=24[/tex]
(b) When the order is not important, the same thing can be done in
[tex]^4C_3\ \text{ways}\\\\\Rightarrow \dfrac{4!}{1!3!}=4\ \text{ways}[/tex]
PLEASE HELP FAST!!!
find the equation of the line that is perpendicular to this line and passes through the point (-7, 6)
find the equation of the line that is parallel to this line and passes through the point (-7, 6)
Answer:
si..............................................
M(-5,2) and N(5,2) are the endpoints of the sedment MN on the cordinate plane what is the length of MN
Answer:
10 units
Step-by-step explanation:
Given data
The points are
M(-5,2) and N(5,2)
x1=-5
y1= 2
x2=5
y2= 2
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((5-(-5))²+(2-2)²)
d=√10²+0²
d=√100
d=10
Hence the distance is 10 units
Can someone please help me on this
Answer:
9
Step-by-step explanation:
A board game uses a fair six-sided die and a spinner with five equal-sized sections colored dark blue, green, light blue, red, and yellow. Players roll the die and then spin the spinner. Match each probability statement to its correct value. the probability of getting a 6 and any color except a shade of blue the probability of getting a 5 and a shade of blue the probability of getting an even number and a shade of blue the probability of getting at least 3 and any color except a shade of blue the probability of a getting at most 4 and yellow
The probability of getting a 6 and any color except a shade of blue is 2/15.
The probability of getting a 5 and a shade of blue is 1/30.
The probability of getting an even number and a shade of blue is 1/10.
The probability of getting at least 3 and any color except a shade of blue is 4/15.
The probability of getting at most 4 and yellow is 2/15.
We have,
The probability of getting a 6 and any color except a shade of blue:
This probability involves rolling a 6 on the die and getting any color except a shade of blue on the spinner.
Since the die has six equally likely outcomes and the spinner has four colors that are not shades of blue, the probability is (1/6) x (4/5) = 2/15.
The probability of getting a 5 and a shade of blue:
This probability involves rolling a 5 on the die and getting a shade of blue on the spinner.
Since the die has six equally likely outcomes and the spinner has one shade of blue section, the probability is (1/6) x (1/5) = 1/30.
The probability of getting an even number and a shade of blue:
This probability involves rolling an even number (2, 4, or 6) on the die and getting a shade of blue on the spinner.
Since the die has three even numbers and six equally likely outcomes, and the spinner has one shade of blue section, the probability is (3/6) x (1/5) = 1/10.
The probability of getting at least 3 and any color except a shade of blue:
This probability involves rolling a number greater than or equal to 3 on the die and getting any color except a shade of blue on the spinner.
Since the die has four outcomes (3, 4, 5, or 6) that satisfy this condition, and the spinner has four colors that are not shades of blue, the probability is (4/6) x (4/5) = 4/15.
The probability of getting at most 4 and yellow:
This probability involves rolling a number less than or equal to 4 on the die and getting yellow on the spinner.
Since the die has four outcomes (1, 2, 3, or 4) that satisfy this condition, and the spinner has one yellow section, the probability is (4/6) x (1/5) = 2/15.
Thus,
The probability of getting a 6 and any color except a shade of blue is 2/15.
The probability of getting a 5 and a shade of blue is 1/30.
The probability of getting an even number and a shade of blue is 1/10.
The probability of getting at least 3 and any color except a shade of blue is 4/15.
The probability of getting at most 4 and yellow is 2/15.
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3. The length of a featured film is normally distributed with a mean of 105 minutes and a
standard deviation of 10 minutes. What is the probability that the film will run between
1.5 and 2 hours?
A 63.5%
B. 68.2%
C. 75.3%
D. 86.6%
Consider right triangle △ABC below.
Which expressions are equivalent to sin(∠B)?
Choose two answers:
A: tan(∠A)
B: length of side adjacent to ∠A/length of hypotenuse
C: sin(∠A)
D: AC/AB
Answer:
Khan academy
Step-by-step explanation:
The expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a right-angled triangle and its angles.
For the given situation,
From the diagram,
The right angle is at ∠C, so opposite to that side is hypotenuse.
If we consider angle at ∠B, then the side opposite to that side is opposite side and the other side is adjacent side.
Thus, Sin∠B = [tex]\frac{oppposite}{Hypotenuse}[/tex]
⇒ Sin∠B = [tex]\frac{AC}{AB}[/tex]
From the options, now check which options is equivalent to Sin∠B,
Option (A): tan(∠A)
Now, consider the angle at ∠A,
so, [tex]tan(\angle A)=\frac{oppposite }{adjacent}[/tex]
⇒ [tex]tan(\angle A) =\frac{CB}{AC}[/tex]
Option A is not equivalent to sin(∠B).
Option (B): length of side adjacent to ∠A/length of hypotenuse
⇒ [tex]\frac{AC}{AB}[/tex]
Option B is equivalent to sin(∠B).
Option C: sin(∠A)
[tex]Sin(\angle A)=\frac{CB}{AB}[/tex]
Option C is not equivalent to sin(∠B).
Option D: AC/AB
Option D is equivalent to sin(∠B).
Hence we can conclude that the expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.
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Use a ratio box to solve this problem the ratio of new pens was 4 to 7 in all there were 242 new pens how many new pens were in the box?
Complete Question
Use a ratio box to solve this problem the ratio of new pens to used pens was 4 to 7 in all there were 242 pens, how many new pens were in the box?
Answer:
88 new pens
Step-by-step explanation:
The ratio of new pens : Old pens = 4:7
Sum of Proportion = 4 + 7 = 11
Total number of pens = 242 pens
The number of new pens is calculated as:
4/11 × 242 pens
= 88 new pens
Therefore, the number of new pens = 88 new pens
What is the area of this figure? Enter your answer in the box.
Answer:
58.5
Step-by-step explanation:
3x11=33
3x3=9
3x11/2=16.5
16.5+9=25.5
25.5+33=58.5
A population of 45 foxes in a wildlife preserve doubles in size every 10 years. The function y = 45 * 2 ^ x where x is the number of 10-year periods, models the population growth . How many foxes will there be after 20 years After 20 years there will be Foxes(Type a whole number.)
Answer: 180
Step-by-step explanation:
Given
The population of 45 foxes doubles in 10 year period
Population follows [tex]y=45\cdot 2^x[/tex]
After 20 years i.e. x=2 Population is given by
[tex]y=45\cdot 2^2=45\times 4\\y=180[/tex]
Thus, there will be 180 foxes after 20 years
Find the measure of angle K.
Answer:
m∠K = 97°
Step-by-step explanation:
The sum of the measures of the angles of a quadrilateral is 360
127 + 5x + 3 + 10x + 7 + 88 = 360
15x + 225 = 360
15x = 135
x = 9
m∠K = 10x + 7 = 10(9) + 7 = 90 + 7 = 97°
Find the length of the third side. If necessary, round to the nearest tenth.
8
7
What are the coordinates of the point?
(6, −3)
(−3, −6)
(3, 6)
(−3, 6)
Answer:
(-3,6)
Step-by-step explanation:
As graph shows x=-3 and y=6
Answer:
-3 to +6 is the answer to the question
Please no links . What’s the answer ?
Answer:
600 square feet
Step-by-step explanation:
I notice it says "Estimate" in bold. Therefore, you would round all of the measurements. They're all pretty simple to round (to the nearest tens place). From here, you subtract the length of the large room from the length of both rooms. So, 50 - 30 = 20. This is the length of the small room. We now multiply this by the width of the small room (since area of a rectangle is length * width) and we get:
20 * 30 = 600, our final answer
Hope it made sense. I would appreciate Brainliest, but no worries.
What is the value of x in the figure? Enter your answer in the box.
Answer:
X = 65
Step-by-step explanation:
2(65) + 15 = 145
ur welcome
louise decided to purchase a new mountain bike when he saw the sporting good store was offering 20% off their bike. what is the total cost of the mountain bike if the originally price at $249 and louise must pay 7.5% sales tax
puntos gratis so solo responde jeje jajajajjajjaajjja
Answer:
thank you siekrkekkekfjfkkfkfkfkfkkfk
ok
Answer:
muchas gracias los necesitaba xd
help me please. what is the solution for
4≤n−4
Answer:
n[tex]\geq[/tex]8
Step-by-step explanation:
You add 4 to both sides to make n the only thing on one side. Then to make the answer look better you move n to the left side and flip the symbol because n changed sides.
[tex]4\leq n-4\\ 4+4\leq n-4+4\\ 8\leq n\\ n\geq 8[/tex]
Find the length of side a
13
a
5
A. 144
B. 194
C. 8
D. 12
Answer:
Step-by-step explanation:
i think i would need to see a picture
Answer:
D. 12
a^2 + b^2 = c^2
so that will be 5^2 + b^2 = 13^2
so now that we have the equation we just solve it
5^2 + b^2 = 13^2
25 + b^2 = 169
b^2 = 144
b = 12
5^2 + 12^2 = 13^2
25 + 144 = 169
so the answer is A) 12
Which function could be represented by the graph on the coordinate plane?
f(x) = (x – 8)2 + 6
f(x) = (x + 8)2 + 6
f(x) = (x + 8)2 – 6
f(x) = (x – 8)2 – 6
Answer:
It D
Step-by-step explanation:
PLEASE HELP FAST!!!
find the equation of the line that is perpendicular to this line and passes through the point (-7, 6)
find the equation of the line that is parallel to this line and passes through the point (-7, 6)
Answer:
-7.6
Step-by-step explanation:
any one who tells me what 2+2 is you get brainiest
yalls lucky im feeling nice today btw just put anything as a answer and ill but brainiest
Answer:
4
Step-by-step explanation:
ty
hav meme
Answer:
2 + 2 = 4
Step-by-step explanation:
Can I get brainliest mademoiselle?
Please help .......... ASAP !
Answer:
i think it is (d) - 24.1
Step-by-step explanation:
have a nice day
brainliest please?