Answer:
[tex]g(-1) = -1[/tex]
[tex]g(0.75) = 0[/tex]
[tex]g(1)= 1[/tex]
Step-by-step explanation:
Given
See attachment
Solving (a): g(-1)
We make use of:
[tex]g(x) = -1[/tex]
Because: [tex]-1 \le x < 0[/tex] is true for x =-1
Hence:
[tex]g(-1) = -1[/tex]
Solving (b): g(0.75)
We make use of:
[tex]g(x) = 0[/tex]
Because: [tex]0 \le x < 1[/tex] is true for x =0.75
Hence:
[tex]g(0.75) = 0[/tex]
Solving (b): g(1)
We make use of:
[tex]g(x) = 1[/tex]
Because: [tex]1 \le x < 2[/tex] is true for x =1
Hence:
[tex]g(1)= 1[/tex]
the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer to two decimal places
Answer:
45.05 seconds
Step-by-step explanation:
Use the formula: d = v[tex]i[/tex] t + [tex]\frac{1}{2}[/tex] a[tex]t^{2}[/tex]
d = distance v[tex]i[/tex] = initial velocity (m/s)
t = time (s) a = acceleration (m/[tex]s^{2}[/tex])
m is meters and s is seconds. They are units of measurement so leave them be.
Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.
The distance is 725 feet, which is 220.98 meters.
The acceleration is 9.81m/[tex]s^{2}[/tex] since that is the acceleration of Earth's gravity, aka free fall.
Time is what we are trying to find so just leave it as the variable t.
So plug the values into the equation:
220.98m = (0)(t) + [tex]\frac{1}{2}[/tex] (9.81m/[tex]s^{2}[/tex])(t)
220.98m = (4.905m/[tex]s^{2}[/tex])(t)
45.0519877676s = t
t = 45.05s
Remember to pay attention to units because your answer will be wrong otherwise
recursive rule for 1 4 9 16
Step-by-step explanation:
The rule is to add 5 to each number to make next number
1 4 9 16 21 26 31 36 41
A bag of mixed nuts contains cashews, pistachios, and almonds. There are 4000 total nuts in the
bag, and there are 400 fewer almonds than pistachios. Cashews weigh 2 g, pistachios weigh 3 g, and almonds weigh 5 g. If the bag weighs 9.7 kg, find out how many of each type of nut is in the bag.
Cashews:
Pistachios:
Almonds:
Answer :
Cashews : 2950
Pistachios : 725
Almonds : 325
( credits to FB person : Moni )
Simplify the expression.
−6−7
Answer:
-13
Step-by-step explanation:
subtract 7 from -6
Answer: -13
Step-by-step explanation: When you have two numbers with negative signs, you add them but you keep the negative sign.
Therefore, -6-7 = -13
For the future, know these rules for signs when adding, subtracting, dividing and multiplying:
When adding two negative numbers, you add but keep the negative sign like in the above problem.
When adding a positive and negative, you subtract but keep the sign of the highest number. Example: -4+9 = 5 or -11+3 = -8.
When multiplying two negatives or positives numbers, the answer will be positive. When multiplying negatives x positive = negative.
The same applies to division. (-)/(+) = (-) or (+)/(-) = (-)
(-)/(-) = (+)
Hope this explanation and rules help.
how about these are they correct?
-355 - 165 = - (355+165) = -520
-150 - 126 = - (150+126) = -276
-201 - 124 = - (201+124) = -325
P/s: they are wrong. you need this " () "
ok done. Thank to me :>
6:4 is equivalentto blank:24
Last summer, Scott's family rented an RV. The rental fee allowed them to use the RV for 7 days. Scott's parents paid an additional $45 for the Cozy Camp upgrade, which included a grill to use for the duration of their trip. Scott's family paid $829 in all. What was the rental cost of each day they used the RV?
Based on the equation computed, it should be noted that the rental cost for each day will be $112 per day.
Total amount paid = $829Number of days used = 7 daysFrom the information that was given in the question, the equation to solve the question will be:
= (829 - 45) / 7
= 784 / 7
= $112 per day.
The correct option is $112 per day.
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How many solutions does this system have?
y = 2/3x + 3
2x - 3y = -9
A. one solution
B. two solutions
C. no solutions
D. infinitely many solutions
Answer:
the answer is A .
Step-by-step explanation:
-2x+y=3 ----> 2x - y = -3
6x=9-3y
6x + 3y = 9
divide by 3 ,
2x + y = 3
Since the slopes are different, they will intersect.
So ONE solution.
Find the distance between (-10.-15) and (12, 18).
Answer:
11[tex]\sqrt3[/tex] or 39.66 units.
Step-by-step explanation:
Use the distance formula!
Answer:
The distance between two points with coordinates (-10,-15) and (12,18) is:
39.66 units (results are rounded to the nearest 100th)Step-by-step explanation:
Hoped this helped.
I apologize if this is incorrect.
How many times larger is 500 than 50
Answer:
10
Step-by-step explanation:
500/50=10
50*10=500
Which example illustrates the associative property of addition for polynomials? [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = (2x2 + 5x) + [(4x2 – 4x) + 5x3] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(4x2 – 4x) + (2x2 + 5x)] + 5x3 (2x2 + 5x) + [(4x2 – 4x) + 5x3] = (2x2 + 5x) + [5x3 + (4x2 – 4x)] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(5x + 2x2) + (–4x + 4x2)] + 5x3
Answer:
A
Step-by-step explanation:
Answer: first one
Step-by-step explanation:
omm it’s A
Alicia sold 59 fewer tickets than Jenna and Matt sold together. How many tickets did Alicia sell ? Explain
Answer:
I'm guessing 401 tickets. lol
Number of tickets Alicia sold is equals to 401 .
What is linear equation?" Linear equation is defined as the algebraic expression with one or more variables with highest power of the variable equals to one."
According to the question,
x represents the number of tickets Alicia sold
As per the data given,
Number of tickets Jenna and Matt sold together = 282 + 178
= 460 tickets
Substitute the given values in the condition we get linear equation,
x + 59 = 460
⇒ x = 460 - 59
⇒ x = 401 tickets
Hence, number of tickets Alicia sold is equals to 401 .
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What’s is log17 divided by 4
Answer:
log(17 1/4)
Step-by-step explanation:
What is the equation of the line?
Y= 1/2x + 2
Y= 2x + 2
Y= 2x - 4
Y = 1/2x - 4
Answer:
y=1/2x+2
Step-by-step explanation:
An auditorium has 72 rows of seats. The first row contains 70 seats. As you move to the rear of the auditorium, each row has 2 more seats than the previous row. How many seats are in the 24 th row
The number of seats on the 24th row is 3220.
The number of chairs in the 24th row is a function of the rate at which the chairs increase and the number of rows. The formula that can be used to determine the number of seats on the 24th row is:
P x [r x (n - 1)]
Where:
P = number of seats on the first row = 72r = rate of growth of the seats = 2n = number of the row = 2470 x [2x (24 - 1)]
70 x (2 x 23)
= 70 x 46
= 3220
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PLEASE HELP URGENT ASAP DUE TOMORROW PLSSSSS
∫x²cos(2x³)dx
Answer:
-222
Step-by-step explanation:
The Fresh and Green Company has a savings plan for employees. If an employee
makes an initial deposit of $1000, the company pays 8% interest compounded
quarterly. If an employee withdraws the money after five years, how much is in
the account?
Answer:
$1400
Step-by-step explanation:
The Fresh and Green Company has a savings plan for employees. If an employee makes an initial deposit of $1000, the company pays 8% interest compounded quarterly. If an employee withdraws the money after five years, how much is in the account?
First you need to make 8% into a decimal.
To do that you need to move the decimal point to spaces to the left.
8. ----- 0.8 ----- 0.08
The decimal is 0.08.
Now multiply $1000 by 0.08.
Which is $80.
Now do $80 times 5 years.
which is $400 interest.
Now add $400 to $1000.
Which is $1400.
Two angles are supplementary. The smaller angle is 35 degrees less than the larger angle. What is the measurement of the larger angle?
Answer:
Step-by-step explanation:
Mark purchased a 20 foot long sub for a party he cuts the sandwich into 5/12 foot sections into how many pieces does he cut the sandwich
Answer:
48 pieces
Step-by-step explanation:
20÷5/12=20*12/5=240/5=48
Factor the expression. 63a - 42b
Answer:
21(3a-2b)
Step-by-step explanation:
Answer:
21(3a-2b)
Step-by-step explanation:
63a - 42b
21(3a-2b)
Which value of x makes the following equation true?
4.8(x - 4) = -0.2x + 15.8
A. 6
B. 10
C. 7
D. 9
Answer:
C
Step-by-step explanation:
multiply through by 10
10{4.8(x-4)} = 10(-0.2x) + 10(15.8)
48(x-4) = -2x + 158
48x - 192 = -2x +158
48x + 2x = 158 + 192
50x = 350
divide through by 50
x=350/50
x=7
therefore, answer = C
|-4+5x|=16
Pls help
Pls
Answer: i believe x = 4
Step-by-step explanation: 16 - |-4| which is adding two positives and that equals 20 so then its 5x = 20 divide 20 by 5 and you get 4
THE LENTH OF A RECTANGLE IS 6 CM AND ITS AREA IS (6XPLUS18) SQUARCM WRITE A EXPPRESIONFOR THE WIDTH
[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]
if the stated rate on each of these loans was 5%, would they all have equal, effective annual rates? explain.
Answer:
im the Akash Shukla and Aap I will get them back to
2. If Jordan's section contains 35 rows, how many seats are in her section?
seat(s)
Answer:
5
Step-by-step explanation:
What is the solution for x in the equation
-4+5x-7=Okay 0+3x-2x
Answer:
X = 2.75 or 2 3/4 in fraction form
Step-by-step explanation:
We know that the variable X has to make both equations equal.
It is really just crossing out the options.
2.75 can fit in the X variable because if 2.75 was in both equations, the answer would be the same.
So the answer is 2.75
Hope this helps! :)
૮ ・ﻌ・ა
Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point. You must show all your work
3x + y = -2
y = 2x +3
The substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).
A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation or elimination method.
From the information given;
3x + y = -2 ----- (1)
y = 2x +3 ----- (2)
By using substitution method, we will replace the value of equation (2) into equation (1), by doing so, we have:
3x + (2x + 3) = -2
3x + 2x + 3 = -2
5x + 3 = -2
5x = -2 - 3
5x = - 5
x = -5/5
x = -1
From equation (2), let's replace the value of x = - 1 into equation (2);
y = 2x + 3
y = 2(-1) + 3
y = -2 + 3
y = 1
Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).
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19.
In a Space Needle, the elevators whisk you to the revolving restaurant at a speed of 650
feet in 60 seconds. If the revolving restaurant is 370 feet up, how long will it take you to reach
the restaurant by elevator? Round answer to two decimal places.
SOMEONE HELP ME PLEASEEE
Answer:
A) X≥4
B) Can't see question
C)x<8
D) x>40
E)x≥5
F) Can't see question
G)x ≥43
H) x ≤75
Step-by-step explanation:
4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)
1.
Oliver owes his sister $27.
2.
A building is 38 feet tall.
3.
Erica jumped 2.7 feet above ground.
4.
The scuba diver was 38 feet below sea level.
5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7
The statements with their relation to 0 are:
Oliver owes his sister $27. [tex]\to[/tex] -27 A building is 38 feet tall. [tex]\to[/tex] 27 Erica jumped 2.7 feet above ground. [tex]\to[/tex] 2.7 The scuba diver was 38 feet below sea level. [tex]\to[/tex] -38 The basement is 8.3 feet below ground. [tex]\to[/tex] -8.3Statements that represent positions above the sea level are illustrated using the positive sign, while positions below the sea level are represented using the negative sign.
The above highlights imply that the following statements would be represented with positive sign:
A building is 38 feet tall.Erica jumped 2.7 feet above ground.This is so, because height and positions above the ground are above the sea level
Also, the following statements would be represented with negative sign:
Oliver owes his sister $27. [tex]\to[/tex] -27 The scuba diver was 38 feet below sea level. [tex]\to[/tex] -38 The basement is 8.3 feet below ground. [tex]\to[/tex] -8.3This is so, because debt and positions below the ground are below the sea level
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