Answer:
y = -⅓x - 5
Step-by-step explanation:
the slope of g(x) = 3
=> the slope of the line perpendicular
to g(x) = -1 /3
so,
the line is :
y +5 = -⅓(x-0)
y = -⅓x - 5
On comparison to slope intercept form
slope=m=3Perpendicular lines have slopes negative reciprocal to each other
Slope of perpendicular line=-1/3
Equation
y+5=-1/3xy=-1/3x-5A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2
Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answer:
0.51 and 11.24 seconds.
Step-by-step explanation:
The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:
[tex]h(t)=188t-16t^2[/tex]
And we want to find all values of t for which the rocket's height is 92.
So, we can set h(t) = 92 and solve for t:
[tex]92=188t-16t^2[/tex]
We can divide everything by four:
[tex]23=47t-4t^2[/tex]
Rearrange the equation:
[tex]4t^2-47t+23=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = -47, and c = 23. Substitute:
[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]
So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.
Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.
How many more 10th graders than 9th graders were interviewed?
A 36
B 80
C 12
D 200
Answer:
A. 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
Oliver's Interviewees
10-graders
Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
Cross multiply
123.2 were 10-graders interviewed by Oliver
9th-graders
Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
Cross multiply
52.8 were 9th-graders interviewed by Oliver
Jenny's Interviewees
9th-graders
Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
Cross multiply
105 students were 9th-graders interviewed by Jenney.
10th-graders
Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
Cross multiply
35 students were 10th-graders interviewed by Jenney.
Total calculation
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
Therefore, there are 36 more 10th than 9th.
For more information, visit: brainly.com/question/23490909
Plz help.
Thank u soooooo muchhh
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
12=100+0.3x
-100 -100 subtract 100 both side
-88=0.3x divide -88 into 0.3
x=-293.3
Please I need help with the question now PLEASE HELP
5. Marina lives in a 2-bedroom condominium overlooking a lake. Her expenses are as follows.
•The bi-weekly mortgage and property taxes are $718.
•The condo fees are $525 per month.
•The electricity bill averages $320 bi-monthly.
•The quarterly water bill averages $210.
a) Calculate Marina’s fixed monthly expenses for housing.
b) Calculate Marina’s average monthly expenses for utilities.
c) What is her average total monthly cost for housing?
Answer:
a) $1961
b) $710
c) $2671
Step-by-step explanation:
Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month
Condo fees: $525/month
Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month
Water bill is quarterly, so 210/3 months. 210/3 = $70/month
a) housing expenses = mortgage, taxes, condo fees
1436 + 525 = $1961
b) utilities = electricity and water
640 + 70 = $710
c) all expenses listed
1961 + 710 = $2671
What is the volume of this rectangular prism?
A rectangular prism with a length of 6 and one-fourth foot, width of 14 feet, and height of 3 feet.
87 and one-half feet cubed
131 and one-fourth feet cubed
252 feet cubed
262 and one-half feet cubed
HURRY ITS TIMED
Answer:
Multiply the length, the width, and the height. You can multiply them in any order to get the same different result. The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in. * 4 in. * 3 in. = 60 in.
Step-by-step explanation:
Answer:
I got B 131 and one-fourth feet cubed
Step-by-step explanation:
The length of one side of a square is 3m^4. What is the area of the square? (A = I x w)
a. 3m^4
b. 6m^8
C. 9m^8
d. 6m^6
============================================================
Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).
Truth or False Domain and Asymptote can be the same number.
-0.09 x __=9? Can any one help?
Answer:
-0.09 x −100 =9
Step-by-step explanation:
brainliest pls
PLEASE NO FILES OR LINKS
Answer: 16
Step-by-step explanation:
Answer:
It should be 16
Step-by-step explanation:at the you would take the 8 because that tells you half the length of the side then at the bottom there is also the other half of the line
Leigh-Mari walks 10 kilometres to a waterfall at an
average speed of 3 kilometres per hour.
(a) Write down, in terms of r, the time taken in hours.
(b) Leigh-Mari returns from the waterfall but this time she
walks the 10 kilometres at an average speed of (x+1)
kilometres per hour. The time of the return journey is
30 minutes less than the time of the first journey. Write
an equation in x and show that it simplifies to
2 + 1 - 20 = 0.
(c) Solve the equation x2 + - 20 = 0.
(d) Find the time Leigh-Mari takes to walk to the waterfall,
Answer:
immma send you the link friend me on hereStep-by-step explanation:
Which fraction is equivalent to -(7/8)
1. -7/8
2. -7/-8
3. -(-7/8)
4. -(7/-8)
Answer:
A. The others are equivalent to 7/8
he graph below shows the results of a middle school election for president of the student body.
How many 6th, 7th, and 8th graders voted for Jose?
A.
320
B.
410
C.
420
D.
370
Answer:
Step-by-step explanation:
Jane's dance recital started at 1:17 PM. It ended at 5:34 PM. How long did the recital last?
Answer:
the recital lasted 4 hours and 17 minutes
Answer:
4 hours 17 minutes
Step-by-step explanation:
5.34-1.17
Worth 38 points!!
What is the area of this figure?
Enter your answer in the box.
units2
Answer:54
Step-by-step explanation: It’s in the picture
tina has 10 cards on her table she wrote letter z on 2 of them and the letter y on 8 of them whats the probability that someone picks a card with the letter z on it?
Answer:
1/5
Step-by-step explanation:
From the 10 cards, only 2 cards have the letter Z.
2/10 = 1/5
Answer:
1/5
Step-by-step explanation:
it is 2/10 so 1/5 thats
the probability that someone picks a card with the letter z on it?
Please help! I will mark brainliest.
Answer:
the correct answer is D 175
Write the following as an expression, "15 added to the product of 7 and c"
Answer:
15 + 7c or 15 + 7 * c
Hope this helps!
5x+ 10y =300
what is x and y?
Answer:
5x + 10y + -10y = 300 + -10y
Step-by-step explanation:
Which expressions are equivalent to the one below? Check all that apply.
log, 1 • log, 81
A. O
B. 9.9
O C. 1
O D. 9.log, 9
SUBMIT
Answer:
I think is C I hope is right
The correct expressions which are equivalent to the one below is,
⇒ 0
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ log 1 × log 81
Now, We know that;
⇒ log 1 = 0
Hence, The correct expressions which are equivalent to the one below is,
⇒ log 1 × log 81
⇒ 0 × log 81
⇒ 0
Thus, The correct expressions which are equivalent to the one below is,
⇒ 0
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Find the length of side x in simplest radical form with a rational denominator.
45°
X
45°
6
Answer:
square root 6
Step-by-step explanation:
Please helpp
Extra points and brainleist
Answer:
D
(x+3)^2=4(x+3)(x+3)=4x^2+3x+3x+9=4x^2+6x+9=4x^2+6x=4-9x^2+6x=-5x^2+6x+5=0The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.
Answer: 21 m
Step-by-step explanation:
Given
the angle of depression of point G is [tex]25^{\circ}[/tex]
Distance from pole base to point G is 45 m
Suppose h is the height of the pole
From the figure, we can write
[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]
The number line below represents the solution to which inequality?
F. -2x + 728
H, 6x 9-21
G. 7x + 1134
J. -3x - 155 -27
when twice a number is increased by 10, the sum is 42.what is the number?
Find the volume of the cylinder. Round to the nearest tenth
5 ft
2 ft
Given:
Radius of the cylinder = 2 ft
Height of the cylinder = 5 ft
To find:
The volume of the cylinder.
Solution:
Volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]\pi = 3.14,r=2,h=5[/tex] in the above formula we get the volume of the given cylinder is:
[tex]V=(3.14)(2)^2(5)[/tex]
[tex]V=(3.14)(4)(5)[/tex]
[tex]V=62.8[/tex]
Therefore, the volume of the given cylinder is 62.8 ft².
Write the equation 8x-2y=10 in slope intercept form.
Answer:
[tex]y=4x-5[/tex]
Step-by-step explanation:
Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:
[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]
Which choice is equivalent to the expression below?
Answer choices
a
b
c
d
Answer:
Either A or D
Step-by-step explanation:
I got It right Hope it helps this you guys
How much money would you have if you invested $2500 at 5.75% annual interest, compounded quarterly for 5 years
Answer:
[tex]A\simeq3325.91[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $2500
[tex]r = 5.75\% = \frac{5.75\%}{100\%}=0.0575[/tex]
t = 5
n = 4 (quarterly in a year)
Then,
[tex]A=2500(1+\frac{0.0575}{4} )^{(4)(5)}\\\\A=2500(1+\frac{0.0575}{4} )^{20}\\\\A=3325.911985\\\\A\simeq3325.91[/tex]
(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3).
What is x
Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.