Patients with Alzheimer's disease are randomly divided into two groups. One group is given a new drug, and the other is given a placebo. After six months they are given a memory test to see whether the new drug fights Alzheimer's better than a placebo.
Answer:
This is a controlled experiment.
Step-by-step explanation:
A controlled experiment is one in which all variables are kept constant except one, which is the independent variable. The samples are divided into the experimental and the control groups. The control group is the normal state of the condition being tested and would be compared to the experimental groups to check for changes.
In the experiment above, the experimental group is given the new drug while the group that was administered the placebo is the control group. The two groups are compared after six months to check for changes.
FACTORIZE :-
[tex]6 ^{2} + 6p + 8[/tex]
Normally a chef uses 14 ounces to make chocolate chip cookies but he started using 20.44 ounces instead he should advertise the cookies as having percent more chocolate
6.
Which expression represents the volume of the composite figure
formed by a hemisphere with radius r and a cube with side length 2r?
Answer:
A. [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)
Step-by-step explanation:
A composite figure is formed by two or more shapes in contact.
Volume of a cube = [tex]l^{3}[/tex]
where l is the length of its sides.
Given that l = 2r, then;
volume of the cube = [tex](2r)^{3}[/tex]
= 8[tex]r^{3}[/tex]
volume of the cube = 8[tex]r^{3}[/tex]
For a hemisphere, volume = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
Also,
volume of the hemisphere = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
So that,
volume of the composite figure = volume of the cube + volume of the hemisphere
= 8[tex]r^{3}[/tex] + [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]r^{3}[/tex](8 + [tex]\frac{2}{3}[/tex][tex]\pi[/tex])
volume of the composite figure = [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)
Andrew walked 24 laps during a walkathon to raise money for his school's art department. Each lap was 1 4 of a mile, and Andrew's dad donated $5.25 for every mile that Andrew walked. How much money did Andrew's dad donate? $
Answer:
Given:
Andrew walked during a walkathon to raise money= 24 laps
Each lap= [tex]\frac{1}{4}[/tex] of a mile
Andrew's dad donated= $5.25 for every mile
Step-by-step explanation:
Total money donated by Andrew's dad=Andrew walked x each lap distance x donated money
=24 x [tex]\frac{1}{4}[/tex] x 1 x 5.25
=6 x 5.25
= $31.50
Find the difference. Write your answer in scientific notation. (1.5 x 10^4) - (7.6 x 10^3) =
Answer:
The answer is 7.4 × 10³ ( or 0.74 × 10⁴).
Step-by-step explanation:
The steps are :
(1.5 × 10⁴) - (7.6 × 10³)
= (15 × 10³) - (7.6 × 10³)
= (15 - 7.6) × 10³
= 7.4 × 10³
Wang Xiu Ying has 109109109 dollars in her savings account. She has -21−21minus, 21 dollars in her checking account. Write an inequality that correctly compares the account values.
Answer:
[tex]-21 < 109[/tex]
Step-by-step explanation:
Given
[tex]Savings = \$109[/tex]
[tex]Checking = -\$21[/tex]
Required
Represent as an inequality
On a number line -21 comes before 109 (from left to right)
This means that -21 is smaller/lesser than 109.
So, the inequality that compares the two account values is:
[tex]-21 < 109[/tex]
Find the exterior angles & interior angles from the triangle below.
Answer:
Step-by-step explanation:
C is 135'
A is 90'
B is 90'
D is 45'
E is 45'
F is 135'
Answer:
I'ma just take the free points, Give the other person a brainlest
Step-by-step explanation:
whers is the place in ur house that ur ferret hides ur keys the most often
Answer:
Under couch
Step-by-step explanation:
Evaluate following expression 6x4+2x9/3 HELPP
Answer:
30
Step-by-step explanation:
6*4+2*9/3
24+2*9/3
24+6
30
I NEED HELP PLEASE !!!
Answer:
14
Step-by-step explanation:
Just add both the numbers as positive to get total length since one is negative
5.3+8.7=14
Answer:
The length of the segment is 14.
Step-by-step explanation:
8.7 - (-5.3) = 14.
An easier way to do this is just by counting backwards kinda on the number line.
Sophia scored 33 points in a basketball game. She scored four more two point baskets than three point baskets. Write a system equations in standard form that models this situation. How many three points baskets did Sophia make?
Answer:
5
Step-by-step explanation:
33p is separated into 3p and 2p
4 more 2p than 3p
5 3 points
9 2 points
what does y equal?......
Answer:
37
Step-by-step explanation:
The line L passes through the points (0, –2) and (6, 1).
Find an equation of the line L.
Answer:
Some Facts about lines (1) For non vertical line L, if L passes a point (x0,y0) with slope m, then an equation of line L is y − y0 = m(x − x0). (2) If a non vertical line L passes through distinct points (x1,y1) and x2(y2), then the slope of L is m = y2 − y1 x2 − x1 . x a + y b = 1.
Step-by-step explanation:
Please help I’m so confused ;(
Answer:
Step-by-step explanation:
Write an algebraic equation and solve. Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25. What is the price of 1 orange?
Answer:
The cost of 1 orange is $2.05.
Step-by-step explanation:
Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25.
Cost of 5 oranges = $5x
Cost of 2 packs of strawberries = 2×5 = $10
ATQ,
5x + 10 = 20.25
Subtract 10 both sides
5x + 10 -10 = 20.25-10
5x = 10.25
x = 2.05
So, the cost of 1 orange is $2.05.
20x^2/12x+8 simplified
In Mr. Romano’s class, 40% of the students like baseball. If 14 of his students like baseball, how many students are in Mr. Romano’s class?
Answer:
35 Students
Step-by-step explanation:
So if 40% of the students like Baseball and that there are 14 students in the class room.
Another way to interpret this is that you can divide 14 by 40% to find the total amount.
This gets you: 14 divided by 0.40 = 35 Students
Help ASAP!!!! I DONT GET IT
which of the following Best expresses how a bill introduced
Plzz help me to find coefficient in binomial theorem (25 points)
Denote x2 by y.
(x2-3)7=(y-3)7
This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8
You have 7 terms of (y-3) in (y-3)7. To get the fourth power of y, you need to choose y from four of the terms. The number of ways you can do this is the combinations of 7 things taken 4 at a time. This is:
7!/(4!3!)=35
So, the coefficient of x8 in the given expansion will be 210.
HOPE IT HELPS
THANK YOU
how do i solve this? and i have to show my work so help pls
Answer:
1. x-intercept = 3/-5 = -0.60000
y-intercept = 3/1 = 3
2. x-intercept = 3/3 = 1
y-intercept = 3/1 = 3
Step-by-step explanation:
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-5x-3 = 0 and calculate its properties
When y = 0 the value of x is 3/-5 Our line therefore "cuts" the x-axis at x=-0.60000
From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea
is 24. Find, to the nearest foot, the distance from the boat to the foot of the
lighthouse. (The foot of the lighthouse is at sea level.)
Answer:
Lighthouse= 160 ft Theta= 24 We want to find the length so we will dotan(24)= 160/x x= 359 feetThe distance from the boat to the foot of the lighthouse is 359.36 ft
What is height and distance?Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.
Given that, From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea is 24.
The whole situation is representing a right triangle (refer to figure)
Let the distance from the boat to the foot of the lighthouse be x
We know that, angle of depression = angle of elevation
Then, using formula of height and distance,
tan 24° = 160 / x
x = 160 / tan 24°
x = 359.36
Hence, the distance from the boat to the foot of the lighthouse is 359.36 ft
For more references on height and distance, click;
https://brainly.com/question/15939509
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When dilating a triangle, to enlarge the triangle you must use a scale factor that is:
A) a number > 1
C) a number = 1
B) a number < 1
D) a number = 0
Answer:
is D
Step-by-step explanation:
because it's the answer
Answer:
o
Step-by-step explanation:
scale factor= 0..........
What is the value of X?
Can u pls help me with this question
Answer:
21 is the answer your welcome
Work out the volume of this sphere.
Give your answer to 1 decimal place.
4.7 cm
Answer:
434.9 cm³
Step-by-step explanation:
Volume of a sphere: 4/3πr³
Substitute the information to find the volume.
4/3π(4.7)³ = 434.9
4. Car A travels 100m in 5 seconds. If car B travels the same distance in 2
seconds, which one is travelling at the faster speed? Explain your answer.
Answer:
Car B is travelling at the faster speed.
Step-by-step explanation:
Given that,
The distance covered by car A = 100 m
Time of car A, t = 5 s
The distance covered by car B = 100 m
Time of car B, t = 2 s
We need to find which one is travelling at the faster speed.
Speed = distance/time
For car A,
[tex]v_A=\dfrac{100\ m}{5\ s}\\\\v_A=20\ m/s[/tex]
For car B,
[tex]v_B=\dfrac{100\ m}{2\ s}\\\\v_B=50\ m/s[/tex]
So, car B is travelling at the faster speed.
The sum of 5 times a number and 3 is the same as the difference of the number and 9. Find the number
Answer:
let number be n
by question
(5n+3)=(n-9)
5n-n=-9-3
4n=-12
n=-12/4=-3
required no. is -3.
Write an equation in whatever form you choose with the given characteristics Parallel to y = 3/5x - 8 and passes through (0, -3)
Answer (this one's written in slope-intercept form):
[tex]y= \frac{3}{5}x -3[/tex]
Step-by-step explanation:
1) Lines that are parallel to each other have the same slope. The line [tex]y=\frac{3}{5} x-8[/tex] is in slope intercept form, or [tex]y = mx + b[/tex] form, and the number in place of [tex]m[/tex] represents the slope. Knowing this, it looks like [tex]\frac{3}{5}[/tex] is in the place of the [tex]m[/tex] in that equation, so [tex]\frac{3}{5}[/tex] is the slope - and the slope we need to use for the answer, too.
2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or [tex]y-y_1 = m (x - x_1)[/tex]. [tex]m[/tex] is the slope and [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of the point it must pass through. So, substitute [tex]\frac{3}{5}[/tex] for [tex]m[/tex], 0 for [tex]x_1[/tex], and -3 for [tex]y_1[/tex]. Simplify and isolate y to put it in slope-intercept form:
[tex]y-(-3) = \frac{3}{5} (x - 0) \\y + 3 = \frac{3}{5} x - 0 \\y = \frac{3}{5} x - 3[/tex]
3) Thus, [tex]y = \frac{3}{5} x - 3\\[/tex] is the answer. It's written in slope-intercept form.