Answers
Answer:
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]
Hence, option B) is true.
Step-by-step explanation:
Given
g(t) = t² - 2
h(t) = t + 4
To determine
[tex]\left(g\:\circ \:\:h\right)\left(-4\right)=?[/tex]
Using the formula
[tex]\left(g\:\circ \:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)[/tex]
In order to determine g(h(-4)), first we need to determine h(-4), so
substituting t = -4 in h(t) = t + 4
h(t) = t + 4
h(-4) = -4 + 4
h(-4) = 0
so we can write
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)[/tex]
now, to determine g(0), substitute t = 0 in g(t) = t² - 2v
g(t) = t² - 2
g(0) = (0)² - 2
g(0) = 0 - 2
g(0) = -2
so, finally we get
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)=-2[/tex]
Therefore,
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]
Hence, option B) is true.
Related Questions
21
Select the correct answer.
Which will help you when you file a claim for home insurance?
A.
home loan
B.
home budget
C.
home inventory
Reset
Next
Answers
Answer:
Home inventory lol
Step-by-step explanation:
Mike plans to train for a race by running 8 miles each day for 15 days. He will run at an average speed of 6 miles per hour. At that rate, what is the total number of hours Mike will spend running?
Answers
There are 520 marbles in a jar. The ratio of red to yellow marbles is 3:4 and the ratio of yellow to blue marbles is 2:3. What is the total number of yellow and blue marbles?
Answers
Answer:
Step-by-step explanation:
Change the 2/3 to 4/6
Now the ratio becomes 3:4:6
So the number of each is
3x + 4x + 6x = 520
13x = 520
x = 40
Red = 3*40 = 120
Yellow = 4*40 = 160
Blue = 6 * 40 = 240
Total = 520
what is the total surface area,in square feet, of the net shown below
Answers
Answer:
There is no net....can you add a picture of it please? Thank you.
Step-by-step explanation:
. The sum of two consecative integers is three times of their difference. what is the
smoller number
3
2
4
1
Answers
Answer:
The smallest number is 1
Step-by-step explanation:
1+2=3
2-1=1
1•3=3
I would really appreciate it if someone could help and explain too, please
Answers
Answer:
A. $101/month
Step-by-step explanation:
From January to February, it changes by 195
From February to March, it changes by -72
From March to April, it changes by 180.
Now, you just find the average of these three numbers.
195 - 72 + 180 = 303
303 / 3 = 101
This means that the answer is A. $101/month
An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?
Answers
Answer:
0.12 miles is it flying per second.
Step-by-step explanation:
The distance d is related to time t in seconds is given by the equation as follows :
d =0.12 t
We need to find how many miles is it flying per second.
[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]
So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.
PLEASE ANSWER I WILL MARK AS BRAINLIESTTTTTT
Simplify the expression by combining like terms.
43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53
Answers
Answer:
56a + 40b
Step-by-step explanation:
hope this helps!
Answer: 56a + 40b
Step-by-step explanation:
43a - 12b + 13a + 52b
Bring like terms together
43a + 13a - 12b + 52b
Combine like terms
56a + 40b
Hope that helped!
The diagram shows a trapezoid prism.
The area of the cross-section is 55cm.
The volume of the prism is 330cm
Find the length of the prism.
Answers
Given:
The area of the cross-section is 55cm².
The volume of the prism is 330cm³.
To find:
The length of the prism.
Solution:
We have,
Area of the cross-section = Area of base = 55 cm²
Volume of the prism = 330cm³.
Let x be the length(height) of the prism.
We know that,
[tex]\text{Volume of prism}=\text{Base area}\times height[/tex]
[tex]330=55\times x[/tex]
[tex]\dfrac{330}{55}=x[/tex]
[tex]6=x[/tex]
Therefore, the length of the prism is 6 cm.
Solve the system by making a table of values. Show your work in the scratch
pad
2x +y = 6
y=x+3
Answers
Explanation :
y=6x + 100
help i don’t know this
what is the rate of change for this equation
Answers
Explanation: the slope (6) is the same thing as rate of change
Billy likes to go cycling. His bike has wheels of the diameter 70 cm. He has a counter on his bike which counts the number of revolutions of the wheels make. One day the counter shows 190 revolutions. How far has Billy cycled? Give your answer to the nearest meter.
Answers
Answer:
401 meters
Step-by-step explanation:
To change the units without changing the value, we use the Multiplicative Identity (that is, 1).
The formula for the circumference of a circle is: C=Πd
The problem gives d=85 cm, so C=85Π cm. So, (1 revolution)=(85Π cm)
or 1= (85Π cm) / (1 revolution)
Billy traveled:
150 revolutions
(150 revolutions)*1
(150 revolutions) * ( (85Π cm) / (1 revolution) ) [note: revolutions cancel, leaving only cm]
(150)*(85Π) cm
40055.27 cm * ( (1 meter)/(100 cm) )
401 meters (rounded to nearest meter)
(this isnt my work credits to David W.
A House needs to some maintenance one sink is dripping water every 10 minutes and the other sink is dripping every 12 minutes if both sink dripped at the same time how many minutes until they both drip at the same time again
Answers
Answer:
60 minutes
Step-by-step explanation:
We solve this question using Lowest Common Factor method
Find and list multiples of each number of minutes( 12 and 10 minutes) until the first common multiple is found. This is the lowest common multiple.
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80
Multiples of 12:
12, 24, 36, 48, 60, 72, 84
Therefore,
LCM(10, 12) = 60
The number if minutes until they both drip again is 60 minutes
James is putting a brick border around his circular pool. The bricks are 1 foot in length. How many bricks does James need to buy to build the border? Use 3.14 for π.
Answers
The number of bricks needed to border the circular pool is 6.28r.
The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
Given, Mr. Cortez is putting a brick border around his circular pool.
So, he is boarding the circumference of the circular pool which has a distance of 2πr.
Now, the bricks are 1 foot in length.
Therefore, the number of bricks needed is,
= 2πr/1
= 2πr
= 6.28r
Therefore, the number of bricks James need to buy to build the border is 6.28r.
Learn more about circles here:
brainly.com/question/29142813
#SPJ4
please help , i dont understand this at all
Answers
ABCD is a parallelogram. Find the value of x, y, w, and z.
Answers
Answer:
Summary:
The value of x = -14The value of y = 18The value of w = 14The value of z = 14Step-by-step explanation:
Given
The parallelogram ABCDAD = x-28BC = 3xAB = 12CD = 2/3yWe know opposite sides of a parallelogram are equal.
Therefore,
AD = BC AB = CDnow subtitute AD = x-28 and BC = 3x in AD = BC
AD = BC
x-28 = 3x
switch sides
3x = x-28
subracting x from both sides
3x-x = x-28+x
2x = -28
divide both sides by 2
2x/2 = -28/2
x = -14
Therefore,
The value of x = -14
Now subtitute AB = 12 and CD = 2/3y in AB = CD
AB = CD
12 = 2/3y
switching sides
2/3y = 12
y = 3/2 × 12
y = 18
Therefore,
The value of y = 18
We also know that the opposite angles of a parallelogram are equal.
Therefore,
5w = 70°
divide both sides by 5
5w/5 = 70°/5
w = 14
Therefore,
The value of w = 14
We know that the sum of the measures of the adjacent angles of a parallelogram is 180°.
Here,
m∠B = 70°.
m∠A = (3w+2z)°
As m∠B is adjacent to m∠A.
so
m∠A + m∠B = 180°
so substituting m∠B = 70° and m∠A = (3w+2z)° in the equation
70° + (3w+2z)° = 180°
now substituting w = 14 in the equation
70° + (3(14) + 2z)° = 180°
70° + (42+2z)° = 180°
70° + 42 + 2z = 180°
112 + 2z = 180°
2z = 180° - 112
2z = 68
divide both sides by 2
2z/z = 68/2
z = 34
Therefore,
The value of z = 14
Summary:
The value of x = -14The value of y = 18The value of w = 14The value of z = 14A shipping box has the dimensions shown 1/4 1/4 and 1/2, What is the volume of the box in cubic yards.
First 3 people get a brainly
Answers
Step-by-step explanation:
what is the unit of measurement for the 1/4, 1/4, and 1/2?
Show if 2 is a SOLUTION or NOT a SOLUTION to the equation 0.5(x + 0.8) = 1.4
Answers
Step-by-step answer:
0.5(x+0.8)=1.4
0.5x+0.4=1.4
0.5x+0.4-0.4=1.4-0.4
0.5x=1
0.5x/0.5=1/0.5
x=2
Plzzzzz give me Brainliest!!!!!
The doctor advised Peter to take the medicine after every 80 minutes. How many times did Peter take the medicine
in a day?
Answers
Answer:
did u have any options in that..so I can tell u
Answer:
18 times in a day
Step-by-step explanation:
1 day - 24 hours
1 hours - 60 minutes
24 hours - 24 × 60
= 1440
1 day - 1440 minutes
therefore, 1440/ 80 = 18
Hand me over the answers of B and C or perish
Answers
C.the y intercept represents how much money it costs per 1 ticket
Hope this helps
Have a great day/night
Pleasee helpp with this
!:))
Answers
Answer:
[tex]x=42[/tex]
Step-by-step explanation:
Use this to remember the trigonometry ratios:
SOH-CAH-TOA
Because:
Sine=Opposite/Hypotenuse → SOH
Cosine=Adjacent/Hypotenuse → CAH
Tangent=Opposite/Adjacent → TOA
Use the inverse of the tangent ratio since you need to find the angle measure.
:D Tehe
Answer:
x approximately equals 42.0
Step-by-step explanation:
give other person brainliesttt
By leading figure estimation, approximate the value of 5 850÷22
Answers
Xavier starts the summer with $315 in his savings account. Since he will be working a lot this summer, he made plans to deposit $80 into his account each week. If he ended the summer with $955 in his savings account, how many weeks did he make deposit?
Answers
Answer: 8 weeks
Step-by-step explanation:
He originally had $315 in his account. This figure increased to $955. It therefore increased by:
= 955 - 315
= $640
If he deposited $80 every week, the number of weeks it would take to deposit $640 is:
= 640/80
= 8 weeks
marking Brainlist 7-9g+3g
Answers
Answer:
7-6g
Then you do the 1 step equation.
Divide both sides by 6.
1.16=g
I'm not sure if it's right.
You must find all intervals where f (x) is positive. F(x)=-3x^2-6x+24
Answers
Answer:
he positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative
Step-by-step explanation:
pls i need help what is 1 plus 1?
Answers
1+1 = 84, explanation is quite simple. i should get brainliiest
Josh works 40 hours a week and earns $10 an hour. Calculate Josh’s total earnings and place your answer in the paycheck.
Answers
Answer:
He earns $400 weekly and $57.14
Step-by-step explanation:
40*10 = $400
Josh earns a total of $400 dollars a week!
Which equation represent a circle with a center at (2,-7) and a radius of 4 units ?
Answers
Answer:
[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]
Step-by-step explanation:
[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]
A square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches. The area of the resulting rectangle is 6o in 2 what was the area of the
Answers
Answer:
area of the original square = 36 in²
Step-by-step explanation:
given data
one side is increased = 9 inches
other side is decreased = 2 inches
area of the resulting rectangle = 60 in²
solution
we consider here x as the length of any one side
and
longer side of the resulting rectangle = x + 9
and
the shorter side x - 2
so that area of this rectangle is (s+9) × (s-2) = 60 in²
standard form of equation is x² + 7x - 18 = 60 .....................1
it will be
x² + 7x - 78 = 0
(s+13) (s-6) = 0
so that here x = -13
and x = 6
here we Discard x = -13 because the side length cannot be negative.
so x = 6
and area of the original square = 36 in²
The sum of two consecutive integers is 471.
what is the equation
Answers
Answer:
x+(x+1)=471
Step-by-step explanation: