Answer:
[tex]f'(y) = -9e^{-9y}[/tex]
Step-by-step explanation:
The given function is :
[tex]f(y) = 8 + e^{-9y}[/tex]
We need to find the value of f'(y).
[tex]f'(y)=\dfrac{d}{dy}[8+e^{-9y}][/tex]
[tex]=\dfrac{d}{dy}(8)+\dfrac{d}{dy}(e^{-9y})\\\\=0+e^{-9y}\dfrac{d}{dy}(-9y)\\\\=-9e^{-9y}[/tex]
So, the value of f'(y) is equal to [tex]-9e^{-9y}[/tex].
"A 20-foot ladder leans against the side of a house. The bottom of the ladder is 6 feet away from the house. What is the measure of the angle formed by the ladder and the ground?" How do I answer this?
Answer:
Value of θ [Angle of elevation] = 72.54°
Step-by-step explanation:
Given;
Length of foot ladder = 20 feet
Distance of foot from house (Base) = 6 feet
Find:
Angle of elevation
Computation:
Using trigonometry functions
Cos θ = Base / Hypotenuse
Cos θ = Distance of foot from house (Base) / Length of foot ladder
Cos θ = 6 / 20
Cos θ = 0.3
Cos θ = Cos 72.54
Value of θ [Angle of elevation] = 72.54°
Hooooooyooo I need help
Given:
The height of the triangular prism is 15 cm.
The side lengths of the base are 3 cm, 4 cm and 5 cm.
To find:
The lateral surface area of the prism.
Solution:
The lateral surface area of the prism is:
[tex]LSA=Ph[/tex]
Where, P is the perimeter of base and h is the height of the prism.
We know that the perimeter of base is the sum of all sides of the base.
The perimeter of the prism is (3+4+5) cm and the height of the prism is 15 cm.
So, the lateral surface area of the prism is:
[tex]LSA=(3+4+5)\times 15[/tex]
[tex]LSA=(12)\times 15[/tex]
[tex]LSA=180[/tex]
Therefore, the lateral surface area of the prism is 180 square cm.
2 7. Which numbers in the set {2,3,4,5} are solution(s) to the inequality 16 - 3x > 5?
A. 2 only
B. 3 only
C. 2 and 3
D.3,4, and 5
Which is the correct way to calculate the area of a circle?
Answer:
Step-by-step explanation:
Answer:
You must find the diameter then half it, so the radius, and then multiply it by 3.14152
Step-by-step explanation:
Find the value of x that makes:
Answer:
correct value of x = 5
Step-by-step explanation:
[tex] \frac{ {( - 2)}^{4x + 2} }{ {( - 2)}^{2x} } = {( - 2)}^{12} \\ = \frac{ {( - 2)}^{4 \times 5 + 2} }{ { ( - 2)}^{2 \times 5 } } \\ = \frac{ {( - 2)}^{22} }{ { ( - 2)}^{10} } \\ = \frac{4194304}{1024} \\ = 4096 = 4096(i.e \: {( - 12)}^{12} = 4096) \\ [/tex]
Lines a and b are parallel.
what is the value of x
Answer:
x = 5Step-by-step explanation:
11x = 90 - 7x11x + 7x = 9018x = 90x = 90/18x = 5Answer:
[tex]\large\fbox{\green{\underline{x = 5}}}[/tex]
Step-by-step explanation:
90 - 7x = 11 x
90 = 11x + 7x
90 = 18 x
90 / 18 = x
x = 5
–––––––––☆–––––––––Please Help Me With This Problem.
A grocery store receives a shipment of potatoes weighing a total of 180-pounds. The shipment contains six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes. Write and solve an equation so that you can describe the number of 5-pound bags of potatoes in the shipment. You got this.
Answer:
10(6) + 5x = 180
60 + 5x = 180
- 60 - 60
---------------------
5x = 120
------------
5 5
x = 24
Step-by-step explanation:
The shipment contains a total of 180 pounds of potatoes. There are two types of bags of potatoes. One weighing 10 pounds and the other weighing 5 pounds. There are 6 bags of potatoes weighing 10 pounds each and x bags of potatoes weighing 5 pounds each. Two numbers can be added up to bring a total of 180 so we can write this equation as 10(6) + 5x = 180. This problem speaks of pounds in particular so that is why 10 and five go in front of the secondary numbers. After that, just solve. The steps are shown above. ^^^ If I am wrong, please let me know. I hope this helps! :D
A florist used 14 flowers to make a bouquet including 6 daisies what is the probability that a randomly selected flower will be a daisy
Answer:
3/7(when simplified)
Step-by-step explanation:
there are 6 daisies out of 14 flowers and so the probability would be 6/14. When simplified, the answer would be 3/7
What is the equation of the line that passes through (3.-1) and is parallel to the line y = 3x + 2?
Answer:
[tex]y=3x-10[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts1) Determine the slope (m)
[tex]y = 3x + 2[/tex]
From the given line, we can identify clearly that 3 is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're solving for will also have a slope of 3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=3x+b[/tex]
Plug in the given point (3,-1)
[tex]-1=3(3)+b\\-1=9+b[/tex]
Subtract 9 from both sides
[tex]-1-9=9+b-9\\-10=b[/tex]
Therefore, the y-intercept of the line is -10. Plug this back into [tex]y=3x+b[/tex]:
[tex]y=3x-10[/tex]
I hope this helps!
HELP ME!!! NO FLIES OR LINKS
find the length of the diagonals of rectangle QRST
Answer:
11:
since diagonal are equal of rectangle
QS=RT
4x+6=6x-4
6+4=6x-4x
2x=10
x=10/2
x=5
now
diagonal :4x+6=4*5+6=26
12.
again
QS=RT
9x+12=11x-10
12+10=11x-9x
2x=22
x=11
now
diagonal=9*11+12=99+12=111
Which of the following are solutions to |x+3|= 4x- 7
Answer: 10/3 or 3.33
Step-by-step explanation:
Which equations are equivalent to his weekly addition of 0.5 km and would correctly determine how many weeks it will take Hector to reach 10 km if he starts at 2.5 km and adds 0.5 km every week? Select all that apply. 0.5x + 2.5 = 10 0.5 – 2.5 = 10x 10 = 2.5 + 0.5x 2.5x + 0.5 = 10 2.5x – 0.5 = 10
Answer:
C. 10 = 2.5 + 0.5x
Step-by-step explanation:
A. 0.5x + 2.5 = 10
B. 0.5 – 2.5 = 10x
C. 10 = 2.5 + 0.5x
D. 2.5x + 0.5 = 10
E. 2.5x – 0.5 = 10
Total distance Hector covers = 10 km
Distance he has covered = 2.5 km
Distance he covers per week = 0.5 km
Let
x = number of weeks
The equation is given by
2.5 + 0.5x = 10
It can also be written as:
10 = 2.5 + 0.5x
10 - 2.5 = 0.5x
7.5 = 0.5x
x = 7.5/0.5
x = 15 weeks
Answer:
A and C
0.5x + 2.5 = 10
10 = 2.5 + 0.5x
Step-by-step explanation:
hope this helps!
To make 12 cookies, you need 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda, what is the ratio of brown sugar is to baking soda is to butter to make 24 cookies is ?
Answer:
1 cup of brown sugar to 2 teaspoon of baking soda
Step-by-step explanation:
Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.
Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.
The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda
A sample of juniors and seniors were asked if they plan to attend college.
One surveyed student is selected at random. Select all that apply. Percents are rounded.
A. The probability the student is a junior is 52%.
B. The probability the student plans to attend college is 70%.
C. Given the student plans to attend college, the probability the student is a junior is 68%.
D. Given the student is a junior, the probability the student plans to attend college is 68%.
E. Events "is a junior" and "plans to attend" are independent.
F. Events "is a senior" and "plans to attend" are independent.
Answer:
From the survey, the following apply to both Junior and Seniors who were asked about their plan towards attending college:
C. Given the student plans to attend college, the probability the student is a junior is 68%.
D. Given the student is a junior, the probability the student plans to attend college is 68%.
F. Events "is a senior" and "plans to attend" are independent.
B. The probability the student plans to attend college is 70%.
Step-by-step explanation:
Find the value of x such that the data set has the given mean.
102, 119, 107, 114, 110, x; mean 118
Answer:
a
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
[tex]\frac{(102+119+107+114+110+x)}{6} =118\\\\6*(\frac{(102+119+107+114+110+x)}{6}) =118*6\\\\x+552=708\\\\x+552-552=708-552\\\\\boxed{x=156}[/tex]
Hope this helps.
Tyleris making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work,to make the same number of invitations each day. Tylerdrawsa diagram to represent the situation.
Answer:
Tyler should make 8 a day. You do 122-66 which is 56 and there are 7 days in a week so 56 divide by 7 is 8.
Tyler has to make 8 invitations each day.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Total number of invitations to the fair = 122
Already, 66 invitations has been made.
Remaining invitations = 122 - 66 = 56
56 invitations has to be made in a week or 7 days.
Let x be the number of invitations made each week.
x = 56 / 7 = 8
Hence 8 invitations has to be made each day.
Learn more about Equations here :
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Your question is incomplete. The complete question is as follows.
Tyler is making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work, to make the same number of invitations each day. Tyler draws a diagram to represent the situation.
The total of the x's and 66 is 122.
How many total invitations is Tyler trying to make?
Find the equation of the circle with center (4, 4)
and radius of 7.
A (x-4)+(y+4)*= 49
B (x– 4) +(y - 4) = 49
C (x+4)² – (y + 4) = 7
D (x+4)*+(y+4)2=7
If school ended today what is the first thing you'd do?
Answer:
hhehehehheh
Step-by-step explanation:
1.Go to home
2.Plug in the computer
3. Play all trigger games
Plzzz HUURRYYY and pls explain
Complete the working to expand and simplify:
3x(4x + 2) + 3(x + 4) = 12x2 +
X +
X +
–6 + (–12)
Evaluate the expression
Answer:
-18
Step-by-step explanation:
You can basically just drop the plus sign and remove the parenthesis because the plus sign doesn't alter negatives.
-6+(-12)
-6-12= -18
Answer:-18
Step-by-step explanation:
HIE
YA
HHHHHHHH111111111111
Use the calculator to fill
in the table & graph for
the equation y=3x - 2.
6
5
у
3
2
1
1 2 3 4 5 6
0
-6-5-4-3-2-1
-11
-2-
-3
1
2
-5
-6
3
Students, draw anywhere on this slide!
Answer:
y = 3x-2
Step-by-step explanation:
WHATS THE AREA PLSSSSS
Answer:
34 in
Step-by-step explanation:
Trapezoid Area Formula: A= 1/2h (base 1 + Base 2)
A= 1/2(4)* (12+5)
A= 2 *(17)
A= 34 in
I hope this helped :)
What number is ten less than 658?
Answer:
658-10=648
Step-by-step explanation:
subtract 10 from 658.
How many blocks with dimensions of a 3x1x1 can fit in a unit cube?
2
3
6
9
LOOK AT PROVIDED IMAGES PLZ! Problem worth a lot of points if right!!
Answer:
add and subtract
4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00
The answer is b. because the other ones don't charge money according to the number of miles.
Answer:
The structure that you used in your research paper can also be used for your presentation. For example, just like how your
Step-by-step explanation:
please help me with this equation!
you will be marked as brainliest
Answer:
A I guess according to my research.
find the range of these sets of data -2,9,-1,-2000,-6000
Step-by-step explanation:
the given data is in ascending order=9,-1,-2,-2000,-6000
rang = 9-(-6000)
( from above photo it continue )
What is the area, in square units, of trapezoid AEDC shown below?
Area of this trapezoid is 264 unit²
What is the area of a trapezoid?Area: ½ x (sum of the lengths of the parallel sides) x perpendicular distance between parallel sides.
Given perpendicular distance as 12 and parallel sides as 20,24 units respectively.
Thus Area is (20+24 /2) ×12=264 units²
Hence, the Area of trapezoid is 264 unit²
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is 3 bigger than 3.3
Answer:
No.
Step-by-step explanation:
3.3 is bigger than 3 by .3: )
Answer:
no.
3.3 > 3
Step-by-step explanation: