Given:
A rocket is 1.5 miles above the earth in 20 seconds.
It is 8 miles above the earth in 2 minutes.
To find:
The rockets rate of change in miles per seconds.
Solution:
Let y be the height above the earth after x seconds.
A rocket is 1.5 miles above the earth in 20 seconds. So, the point is (20,1.5).
It is 8 miles above the earth in 2 minutes.
1 minute = 60 seconds
2 minutes = 120 seconds
So, the point is (120,8).
The rockets rate of change in miles per seconds is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{8-1.5}{120-20}[/tex]
[tex]m=\dfrac{6.5}{100}[/tex]
[tex]m=0.065[/tex]
Therefore, the rockets rate of change is 0.065 miles per seconds .
discriminate of 2x2 – 9x + 2 = –1
Answer:
The discriminant is less than 0, so there are two complex roots.
Step-by-step explanation: i think
Choose the correct Triangle Congruence Theorem
Answer:
ASA
Step-by-step explanation:
Answer:
AAS
Step-by-step explanation:
The triangles have two congruent angles and one congruent side. This means they are congruent through the AAS theorem. The reason it is not the ASA theorem is that the side is not included, which means it is not in-between the congruent angles.
Which could be the first step in solving the equation represented by the model below?
A. Add 4 negative unit tiles to both sides.
B. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
C. Add 4 positive unit tiles to both sides.
D. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
Answer: A. Add 4 negative unit tiles to both sides.
Step-by-step explanation: Hope this helps
Let StartFraction cosine (2 x) Over cosine (x) + sine (x) EndFraction = 0 where 0° ≤ x ≤ 180°. What are the possible values for x?
a- 45 only
b- 135 only
c- 45 or 225
d- 135 or 315
*NEED HELP ASAP
Answer:
The correct option is;
a- 45° only
Step-by-step explanation:
The given equation can be presented as follows;
[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = 0[/tex]
We have that cos(2·x) = cos²(x) - sin²(x)
Also, we have, by the difference of two squares, the following relation;
cos²(x) - sin²(x) = (cos(x) - sin(x))(cos(x) + sin(x))
Therefore, the given equation can be written as follows;
[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = \dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} =0[/tex]
Crossing the common term, (cos(x) + sin(x)), in the numerator and the denominator, we have;
[tex]\dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} = cos(x) - sin(x) = 0[/tex]
From cos(x) - sin(x) = 0, we have;
Adding sin(x) to both sides of the equation
cos(x) - sin(x) + sin(x) = 0 + sin(x)
cos(x) = sin(x)
Therefore, the opposite leg and the adjacent leg of the right triangle formed with reference to the angle x are equal
∴ x = 90/2 = 45° only for 0° ≤ x ≤ 180°
Answer:
A. 45 only
Step-by-step explanation:
EDGE 2020
Bob baked 175 brownies to give seven of his friends if he splits the brownies evenly and keeps none for himself how many brownies will each friend get
Answer:
25
Step-by-step explanation:
175 ÷ 7 = 25
Find the value of g when 59+ 12 equals 29 + 18.
Answer:
i dont know if you typed this correctly but 59+12=29+18 is false
Step-by-step explanation:
i know if what your looking for but o well
Find the slope and y-intercept of the following equation (Encuentra la pendiente y la
intersección con el eje y de la siguiente seuación)
(2 Points)
y = - 3r +9
slope = -3; y-intercept = 9
slope = 9; y - intercept - 3
slope = 3; y - intercept = 3
slope = 9; y - Intercept =
- 27
Answer:
slope is -3 and y intercept is 9
Step-by-step explanation:
use y = mr + b where m is the slope and m is the y intercept
A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank
Answer:
it would be 0.64
Step-by-step explanation:
Cynthia’s mom gave her $20.00 to spend at her friend’s birthday party on Friday night. Write an inequality that represents the number of games, g, Cynthia can bowl to remain within her budget.
Answer:
will or will not
Step-by-step explanation:
The inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -
gx ≤ 20
What is the general equation of a Straight line inequality? What is inequality? What are strict and slack inequalities.The general equation of a straight line is -
[y] > [m]x + [c]
[y] < [m]x + [c]
[y] ≥ [m]x + [c]
[y] ≤ [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Strict inequalities are those inequalities which use either > or < to compare expressions. Example : 2x + 4 > 5
Slack inequalities are those inequalities which use either ≤ or ≥ to compare expressions. Example : 2x + 4 ≥ 5
We have Cynthia’s mom who gave her $20.00 to spend at her friend’s birthday party on Friday night.
Assume that a single game costs $x. Then, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is-
gx ≤ 20
Therefore, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -
gx ≤ 20
To solve more questions on inequalities, visit the link below-
https://brainly.com/question/14875221
#SPJ2
What is the length of segment TQ?
Answer:
14 units
Step-by-step explanation:
4x-1=15
x=4
3x+2=14
A construction company is setting up signs on a 6 3/4 mile stretch of road. If the company places a sign every 3/4 of a mile, how many signs will it need?
Note: the company will place a Sign at the beginning of the stretch,
then every 3/4 of a mile.
Answer:
10
Step-by-step explanation:
6 3/4 ÷ 3/4 = 9, and plus the sign at the start of the road it would be 10
hope this helps :)
A line passes through (2, −1) with slope 3. What is the equation of the line in slope-intercept form? A. y=3x+5 B. y=3x−7 C. y=13x+5 D. y=−13x
Answer:
B
Step-by-step explanation:
y=3x+a
3*2+a=-1
a=-7
Which statement about rigid transformations is true?
A.
A rigid transformation preserves only the side lengths of a polygon.
B.
A rigid transformation preserves only the angle measures of a polygon.
C.
A rigid transformation preserves both the side lengths and the angle measures of a polygon.
D.
A rigid transformation preserves neither the side l
Answer:
The answer is B because it is only the measure of the polygon
Will sells 35 L of milk in a day how many liters of milk will be sold if he has
to sell 125% more milk per day
Answer:
i think it is 43.75
Step-by-step explanation:
Either that or 39.375
(Sorry I couldn't answer in more detail. Please don't get mad at me)
Answer:78.75
1.25×35=43.75
43.75+35=78.75
I hope this is good enough:
What expression is equivalent to 4(x-7)+8
Answer:
D
Step-by-step explanation:
4(x-7)+8=4x-4*7+8=4x-28+8
Answer:
4x-28+8
Step-by-step explanation:
ANSWER SHOULD REALLY BE 4x-20 but thats not an option
WILL MARK BRAINLIEST PLEASE HELP
The total coast of a ski trip is $315 with a literal equation of 315=85x+60 how many ski trips can you take
Answer:
Three
Step-by-step explanation:
Minus 60 from both side
255=85x
Divide both sides by 85
3=x
2x+7=3x+4
step by step
Answer:
3=x or x=3
Step-by-step explanation:
2x+7=3x+4
-2x+2x7=-2x+3x+4
7=x+4
7-4=x+4-4
3=x or x=3
Find h(x) + h (x+2), giving-
your is single fraction
answer as fraction
Answer:
Step-by-step explanation:
hx(x+x+2)
h x (2x + 2)
H x 2 (x + 1)
2h x (x + 1) is the answer
what is this Find the value of |-6| - 3(42 - 1).
Answer:
-117
Step-by-step explanation:
The absolute value cancels out the negative sign for the 6.
6 - 3(42-1)
= 6 - 3*41
= 6 - 123
= -117
what is 1395^2 plz help
what is slope intercept form?
Answer:
y=mx+b
anajsjsjsjsjsjsjjsmsm
PLEASE HELP DUE SOON!!!
Jordan is mowing lawns to save money for the Camp Rodeo Field Trip. The total cost for the excursions, travel, and food will be $130. Jordan has already saved $50. Which of the following equations represents how much more money Jordan needs to save in order to go on the field trip?
A. x + 50 = 130
B. x - 50 = 130
C. x - 130 = 50
D. x = 50 + 130
Answer:
X + 50 = 130
Step-by-step explanation:
This is actually a subtraction equation although addition is how you set it up initially. X is the variable. You already have $50. You need $130.
To solve, subtract 50 from each side,
X + 50 - 50 = 130 - 50, and simplify,
X = 120.
Jordan will need $120 more to go to the Camp Rodeo Field Trip.
Hope this helps.
What is the value of x in the equation One-third x minus two-thirds = negative 18? –56 –52 52 56 Need answer ASAP!!!! Being Timed
Answer:
Step-by-step explanation:
fhv
i need help pls help me what is the answer to -2(8)
Answer:
-16
Step-by-step explanation:
hope this helps love <3
Describe a strategy for finding the difference of two temperatures/Answer in complete sentences.
Hello this is my question if you answer correctly you will receive 30 points plus branliest please be mindful and help me solve this question ASP
Answer:
Use google scooby it's easier than this way.
Step-by-step explanation:
Brennan studies the relationship shown in the table. Which expression describes a method Brennan could use to determine the y-value when x equals 7?
Answer:
What is the long Division rhyme to help you solve?
What is the long Division rhyme to help you solve?
Step-by-step explanation:
Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards.
Answer:
P=0.0000037
P=0.00037%
Step-by-step explanation:
Probability
A standard deck of 52 playing cards has 4 aces.
The probability of getting one of those aces is
[tex]\displaystyle \frac{4}{52}=\frac{1}{13}[/tex]
Now we got an ace, there are 3 more aces out of 51 cards.
The probability of getting one of those aces is
[tex]\displaystyle \frac{3}{51}=\frac{1}{17}[/tex]
Now we have 2 aces out of 50 cards.
The probability of getting one of those aces is
[tex]\displaystyle \frac{2}{50}=\frac{1}{25}[/tex]
Finally, the probability of getting the remaining ace out of the 49 cards is:
[tex]\displaystyle \frac{1}{49}[/tex]
The probability of getting the four consecutive aces is the product of the above-calculated probabilities:
[tex]\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}[/tex]
[tex]\displaystyle P= \frac{1}{270,725}[/tex]
P=0.0000037
P=0.00037%
HURRYYYYYYY PLS BEFORE 11:59
The choices are
A. 35
B. 145
C. 55
D. 75
Answer:
Pretty sure it is A.
Step-by-step explanation:
m4 is equal to m8 because they are same side interior angles and so you set the 2 equations equal to each other to find x. Then plug it in.
Answer:
i think 75
Step-by-step explanation:
sorry if wrong
How do I find the missing sides in this triangle?