Answer:
12
Step-by-step explanation:
f = 2
2(2) =4
2-1(4) = 12
An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to five locations, and a control was applied to the other 3. How many different choices were there for the five locations to apply the new ointment
Answer:
There were 56 different choices for the five locations to apply the new ointment.
Step-by-step explanation:
The order of the locations in which the new ointment was applied is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different choices were there for the five locations to apply the new ointment
Five locations from a set of 8. So
[tex]C_{8,5} = \frac{8!}{5!(8-5)!} = 56[/tex]
There were 56 different choices for the five locations to apply the new ointment.
Find the measure of angle ADE
Answer:
17x + 22
Step-by-step explanation:
They are supplementary angles...
Which means...
Angle ADE = (4x+15) + (13x+7)
= 17x + 22
So...
Angle ADE = 17x + 22
Hope this helps :)
Let me know if there are any mistakes!!
Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 2 batches?
A cylinder has a base diameter of 6 centimeters and a height of 15 centimeters. What is its volume in cubic centimeters, to the nearest tenths place?
Please help
Step-by-step explanation:
V
≈
424.12
cm³
d
Diameter
cm
h
Height
cm
HELP PLEASEEEEE PLEASE HELP
Answer:
What do you need help with?
Step-by-step explanation:
you are given that 4a - 2b =10 and a + c = 3. write an expression in a, b and c that is equal to 23. give your answer in its simplest form.
HELP ASAP PLEASE!
The net for a triangular prism is shown below. What is the total surface area of the prism? 6.9 cm 8 cm 10 cm 8 cm 0 55.2 square centimeters 0 295.2 square centimeters 0 240 square centimeters 0 552 square centimeters
Answer:
Step-by-step explanation:
The area of each rectangle is Length x width
Therefore Area of rectagle is 8cm x 10 cm=
A= 80 cm 2
There are three rectangles with the same measure so multiply the area by 3
80cm squared x 3= 240 cm 2
Now find the are of the triangle:
A- 1/2 x base x height
Base = 8cm
Height = 6.9 cm
A= (1/2) (8cm) (6.9cm)
A= (1/2) (55.2 cm squared)
A= 27.6 cm squared
Since there are two triangle faces with the same dimensions take the area and multiply it by 2
27.6 cm squared times 2 = 55/2 cm squared
Now add up the area of the rectangles and the area of the triangles.
Rectangles= 240 cm squared
Triangles 55.2 cm squared
240cm sq + 55.2 cm sq.= 295.2 cm squared
I gave away 15 pencils in math. Now I have less than 37 left. How many did I have before I gave any away?
Answer:
less than 52 or < 52
Step-by-step explanation:
x - 15 < 37
+15 +15
x < 52
need help with this problem
Answer:
h(x) = -x² + 11 x + 2
Step-by-step explanation:
Explanation:-
Given that the functions are
f(x) = 2 x² - 5x -3
g(x) = x² + 6x -1
h(x) = g(x) - f(x)
= x² + 6x -1 - (2 x² - 5x -3)
= - x² + 6 x +5x -1+3
= -x² + 11 x + 2
h(x) = -x² + 11 x + 2
Final answer:-
h(x) = -x² + 11 x + 2
What is the slope and y-intercept of the line y - 2x = 8
Answer:
Slope is 2x and y-intercept is 8
Step-by-step explanation:
First you have to get y all by itself on the left side of the equal sign. To do that, you must add 2x on both sides. You will get: y=2x+8.
Answer:
Slope= 2
Y-intercept= (0,8)
21 − 3 ) ÷ 32 =
72 × ( 6 ÷ 3 ) =
17 + 15 ÷ 3 − 24 =
( 8 + 56 )÷ 4 − 32 =
What is the length of side s of the square shown below?
45
90°
A. 2-2
B. 2
C. 42
O D. v2
E. 1
O F. 4
Answer:
D. √2
Step-by-step explanation:
Solve for x by applying trigonometric ratio.
Reference angle = 45°
Hypotenuse = 2
Adjacent side = s
Thus:
Cos (45) = adj/hyp
Cos (45) = s/2
2×Cos(45) = s
2 × √2/2 = s (cos (45) = √2/2)
√2 = s
s = √2
5.
There are 5,000 tickets available for a concert. The percent of available tickets belonging to
each type of ticket is shown in the circle graph.
Ticket Types
Platinum
2%
Club
8%
Floor
16%
Upper
level
44%
Lower
level
30%
What total number of tickets is available at the club, platinum, and floor levels?
Answer:
The answer is 1,300 tickets.
Step-by-step explanation:
If you add 2%+8%+16%= 26% 26% of 5,000 is 1,300.
Answer:
1300
Step-by-step explanation:
platinum: 2%+club: 8%+ floor: 16%=26%
[tex]\frac{26}{100}[/tex]×[tex]\frac{5000}{1}[/tex] =1300
pls help i cant find the answer at all
Can someone please help
Step-by-step explanation:
step 1. 6x - 30 = 2(x + 33)
step 2. 6x - 30 = 2x + 66
step 3. 4x = 96
step 4. x = 24.
step 5. mNMO = x + 33 = 24 + 33 = 57°.
Jeremy is trying to explain why a triangle with side lengths 35, 30, 60 is not a right triangle. His explanation is shown below.
Step 1: 35 squared + 30 squared question mark equals 60 squared
Step 2: (35 + 30) squared question mark equals 60 squared
Step 3: 65 squared question mark equals 60 squared
Step 4: 4,225 not-equals 3,600
Which best describes Jeremy’s explanation?
Jeremy’s explanation is accurate.
Jeremy’s explanation is inaccurate. He wrote the leg lengths in the incorrect order in step 1.
Jeremy’s explanation is inaccurate. He incorrectly combined terms in step 2.
Jeremy’s explanation is inaccurate. He multiplied incorrectly in step 4.
Answer:
i would say a is the correct answer
Answer:
He incorrectly combined terms in step 2
Step-by-step explanation:
In Step 2, you can't combine 30² + 35² into (30 + 35)² so the answer is "He incorrectly combined terms in step 2".
GIVING BRAINLIEST TOO BEST ANSWERED
Solve for p.
−4.5 + p/6 = −18.9
A
p=−117.9
B
p = −108.9
C
p = −86.4
D
p = 140.4
Answer:
c p = -86.4
aww man I got to explain too I used this app called math - way they will explain it
Jon had 45 dollars in his account. He made 7 dollars
per hour at his job. At the end of the week he had 150
dollars in his account. How many hours did he work?
If you help I will give you brainliest
9514 1404 393
Answer:
5 miles
Step-by-step explanation:
Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).
The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.
The total time is the sum of times for the two parts of the trip: walking and riding.
walking time = walking distance/walking speed
= w/3
riding time = riding distance/riding speed
= (20-w)/30
The total time is that given above:
w/3 +(20-w)/30 = 13/6
10w +(20 -w) = 65 . . . . . . . . multiply by 30
9w = 45 . . . . . . . . . . . . subtract 20, collect terms
w = 5 . . . . . . . . . . . divide by 9
The girl walked 5 miles.
Find the Area Of This Figure.
Answer:
42in
Step-by-step explanation:
First divide up the shape.
The bottom will cut off to form a 6x3 rectangle which will have an area of 18in. Next is the top portion which is a trapezoid. You can figure out the area two ways. You can divide it further into two triangles and a rectangle. Or you can use the trapezoid formula. In this case I feel like dividing it. So since the top is 2 inches the bases of the two side triangles must be 2 due to the bottom base of the whole shape being 6. (1/2*2*6)*2 = 12in. Lastly the center rectangle is 2*6 (got 6 from 9-3) which is also 12. So the top half added together 12+12 equals 24in. When adding both top and bottom portions (18+24) you get 42in.
Help help help help help
Answer: A= 2.5
B= 12.9
C= 12
D= 3 (the 3 is a whole number not added to the fraction.)
E= 4
Look at the street map. What street is parallel to Red Road? A. Union Street B. Green Street C. Blue Street D. Polk Street
i have 3 mins PLZ HELLPPPP
I'm pretty sure it would be
B) Green Street
Since Red Road appears to be vertical.
Solve.
5t ≤ –15
a. t ≤ 3
b. t ≥ 3
c. t ≤ –3
d. t ≥ –3
Answer:
c. t ≤ –3
Step-by-step explanation:
If an organism has 35% of cytosines, how
many adenines will it have?
35%
15%
25%
Answer:
Unknown
Step-by-step explanation:
Since you have 35 C, you will have 35 G. Without knowing the number of thymine, the number of adenine is unknown .
That is all the information you can get from this. Just because there are 35 C and G, there doesn't have to be an equal number of A and T
Answer: 15%
Step-by-step explanation: I just did it
Find the value of X. Round to the nearest tenth
9514 1404 393
Answer:
88.2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relation ...
Tan = Opposite/Adjacent
tan(10°) = x/500
x = 500·tan(10°)
x ≈ 88.2 . . . . units
_____
If you move the "500" dimension to the top of the figure, you see it is adjacent to the given angle, and the value x is opposite.
does anyone know the answer to this.
Answer:
D
PLZ MARK AS BRAINLIEST
Step-by-step explanation:
FIRST STEP:
4*3 =12
6.5*3 =19.5
SECOND STEP:
21*12*19.5 =4914
Answer:
D
Step-by-step explanation:
i solved it
Pls help I need this and I don’t get it
Answer:
C.
Step-by-step explanation:
Hi there!
To find the answer to this, plug the number values in for n and then solve.
For the answer to be correct, the sum has to be less than 26.
Answers B and D both have numbers that would be equal to 26, so they aren’t right.
Answer A has numbers that would go over 26.
Every number in C can be added to 15 and the sum would be less than 26.
I hope this helps!
PLEASE HELP ASAP I’LL GIVE BRAINLEST ITS ALEKS ALGEBRA 2 MATH
Answer:
Step-by-step explanation:
(a)
well since they can lay 7 miles of track every day, the formula i make for the amount of track there is left to lay is:
L=196-Ld
where l is the length of track remaining, L is the length of track they can lay in one day and d is the number of days.
so we replace L for 7 and d for 17 and we get:
L=196-7x17
which works out to be 77 miles of track remaining to lay.
(b)
well since we want them to have 0 length of track remaining, and they can lay 7 miles of track a day, we can work out d. let's give the formula a bash to get:
d=196-l/L
we then replace l with 0 and L with 7 and get:
d=196/7
which works out to be 28. so it will take 28 days or 4 weeks for the railroad crew to lay 196 miles of track.
At $.54 for a dozen oranges, what will 7 1/2 dozen cost?
The source or origin of a word is called its?
Answer:
Etymology
the study of the origin of words and the way in which their meanings have changed throughout history.
Step-by-step explanation: