Answer:
A) Hypothesis: IF the new drug are given to cancer patients, THEN they will recover.
B) The experiment is testing the effect of the new drug on the recovery of cancer patients
C) The control group can be the group of patients that does not receive the new drug
D) The experimental group are the patients on which the new drug were tested on.
E) The independent variable is the NEW DRUG
F) The dependent variable is the RECOVERY OF THE CANCER PATIENTS.
Step-by-step explanation:
1) In an experiment, the hypothesis is a testable explanation given to provide a possible answer to an observed problem. In this case, a hypothesis can be: IF the new drug are given to cancer patients, THEN they will recover.
2) The experiment is conducted in order to test if the hypothesis will be ACCEPTED OR REJECTED. In this case, the experiment being conducted is to test the effect of the new drug on the recovery of cancer patients.
3) The control group in an experiment is the group that does not receive the experimental treatment, which is the new drug in this case. Hence, the control group will be the group of patients that does not receive the new drug.
4) In contrast to the control group, the experimental group is the group that receives the experimental treatment (new drug). In this case, the experimental group are the patients on which the new drug were tested on.
5) The independent variable is the variable that the experimenter manipulates or changes in the experiment. In this case, the independent variable is the NEW DRUG.
6) The dependent variable is the variable that the experimenter measures or the variable that responds to the changes made to the independent variable. In this case, the dependent variable is the RECOVERY OF THE CANCER PATIENTS.
Are the equations – 2x = 10 and -5x = 25 equivalent?
Answer: [tex]Yes[/tex]
Q: How are they the same answer?
A: You divide both of them by the number with x.
Divide both sides by -2
[tex]-2x/-2=10/-2\\x=-5[/tex]
Divide both sides by -5
[tex]-5x/-5=25/-5\\x=-5[/tex]
That's how both of them are equivalent to each other.
[tex]\text{Hey there!}[/tex]
[tex]\text{Are the equations -2x = 10 \& -5x = 25 equivalent?}[/tex]
[tex]\text{-2x = 10}[/tex]
[tex]\text{DIVIDE both sides by -2}[/tex]
[tex]\bf{\dfrac{-2x}{-2} = \dfrac{10}{-2}}[/tex]
[tex]\text{Cancel out \dfrac[-2x}{-2} because it gives 1}[/tex][tex]\text{Cancel out:}\ \bf\dfrac{-2x}{-2} \text{ because it gives you 1}[/tex]
[tex]\text{Keep:} \bf{\dfrac{10}{-2}}\text{ because it gives you the result of x}[/tex]
[tex]\bf{\dfrac{10}{-2} = -10\div2 \rightarrow -5}[/tex]
[tex]\boxed{\underline{\text{\bf{x = -5}}}}\checkmark[/tex]
[tex]\text{-5x = 25}[/tex]
[tex]\text{DIVIDE both sides by -5}[/tex]
[tex]\bf{\dfrac{-5x}{-5}= \dfrac{25}{-5}}[/tex]
[tex]\text{Cancel out:}\ \bf{\dfrac{-5x}{-5}}\text{ because it gives you 1}[/tex]
[tex]\text{Keep:}\ \bf{\dfrac{25}{-5}}\ \text{ because it gives you the result of x }[/tex]
[tex]\bf{\dfrac{-25}{5} = -25 \div 5 \rightarrow -5 }[/tex]
[tex]\boxed{\underline{\bf{x = -5}}}\checkmark[/tex]
[tex]\boxed{\text{To answer your question: \boxed{\bf{YES}} because both x's equal to -5}}[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Find a rational number and an irrational number that are between 9.5 and 9.7. Include the decimal approximation of the irrational number to the nearest hundredth. plz help
Answer:
9.6 - rational√91, √92 or √93 - irrationalStep-by-step explanation:
Rational number between 9.5 and 9.7:
An easy one is 9.6Irrational number between 9.5 and 9.7
Let's find 9.5^2, 9.6^2 and 9.7^2:
9.5^2 = 90.259.6^2= 92.169.7^2= 94.09One of the numbers could be √91, it is not a perfect square.
Approximate value:
√91 = 9.54What kind of triangle?
Answer:
I think it's an obtuse scalene.
Step-by-step explanation:
The slope of the line represented by the equation 2(x - 3) - 6y = 10 is
equal to what?
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of the line is;
2(x - 3) - 6y = 10
Placing the line in slope intercept form we get;
6y = 2x - 6 - 10
6y = 2x - 16
Dividing throughout by 6 we get;
y = [tex]\frac{2}{6}[/tex]x - [tex]\frac{16}{6}[/tex]
Simplifying gives;
y = [tex]\frac{1}{3} x +2 \frac{2}{3}[/tex]
So the slope of this line = [tex]\frac{1}{3}[/tex]
The measure of AngleRST can be represented by the expression (6x + 12)°.
Three lines extend from point S. The space between lines S R and S U is 78 degrees. The space between lines S U and S T is 3 x minus 12.
What is mAngleRST in degrees?
78°
84°
120°
156°
Answer:
The Answer is: C.120
Trust me it is right.Good Luck:)Answer:
∠ RST = 120°
Step-by-step explanation:
∠ RST = ∠ RSU + ∠ UST , substitute values
6x + 12 = 78 + 3x - 12
6x + 12 = 3x + 66 ( subtract 3x from both sides )
3x + 12 = 66 ( subtract 12 from both sides )
3x = 54 ( divide both sides by 3 )
x = 18
Thus
∠ RST = 6x + 12 = 6(18) + 12 = 108 + 12 = 120°
4a−2(3a+8)=6 what is the answer
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 11}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{4a - 2(3a + 8) = 6}[/tex]
Distribute 2 through the parentheses
[tex] \longrightarrow{ \sf{4a - 6a - 16 = 6}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{ - 2a - 16 = 6}}[/tex]
Move 16 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 2a = 6 + 16}}[/tex]
Add the numbers: 6 and 16
[tex] \longrightarrow{ \sf{ - 2a = 22}}[/tex]
Divide both sides by 2
[tex] \longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{22}{ - 2}}} [/tex]
Calculate
[tex] \longrightarrow{ \sf{a = - 11}}[/tex]
Hope I helped !
Best regards! :D
Need help please guys
Answer:
B.
Explanation:
π ≈ 3.142
22/7 ≈ 3.143
square root of ten ≈ 3.162
Find the reciprocal of 5.
Answer:
0.2 is the answer
Step-by-step explanation:
Answer:
0.2
Step-by-step explanation:
5^-1=0.2
HELPP!!! Which of the following is a negative externality of a parent taking afternoon and
evening classes at a local college?
A potential career change and income decrease
A tighter schedule limiting time with children
The list of assignments due for each semester
The number of future job postings
ASAP!!!!! A square pyramid and its net are shown below. What is the surface area of the pyramid?
Answer:
800
Step-by-step explanation:
16x16=256
17x16=272
272/2=136
136x4=544
544+256=800
Amy buy 5 pounds potatoes for $2.50. How much does 1 pound of potatoes weight? (What is the unit rate?)
Answer:
$0.50
Step-by-step explanation:
If there are 5 pounds of potatoes for $2.50, you must divide to find the unit rate.
$2.50 / 5 = $0.50
1 pound of potatoes costs $0.50
Answer:
0.5 $/pound
Step-by-step explanation:
[tex]5[/tex] pounds ⇒ [tex]2.50$[/tex]$to khow much dollars one 1 pound costs, we must divide the price of 5 pounds by 5
[tex]\frac{2.50}{5} = 0.5[/tex] $/ pound2.5 is in dollars and 5 is in pounds so the rate unit is $/pound
[tex]7y \times x49[/tex]
Whats the answer corectly
Answer:
7y(x^49)
Step-by-step explanation:
Answer:
Whats X and what y
Step-by-step explanation:
What does constant growth and double mean
Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?
2y - 12
2(y -12)
2(y + 12)
2y + 12
Answer:
A
Step-by-step explanation:
two times a quantity of number_ 2y
minus twelve-. 2y - 12
Answer: A
Step-by-step explanation:
If m<9=97 and m<12=114, find each measure.
Angles in a transversal can be congruent either by theorems of corresponding and vertical angles.
The measure of the angles are:
[tex]\angle 1 = 97^o[/tex]
[tex]\angle 2 = 83[/tex]
[tex]\angle 3 = 66[/tex]
[tex]\angle 4 = 114^o[/tex]
[tex]\angle 5 = 83^o[/tex]
[tex]\angle 6 = 97^o[/tex]
[tex]\angle 7 = 114^o[/tex]
[tex]\angle 8 = 66^o[/tex]
[tex]\angle 9 = 97^o[/tex]
[tex]\angle 10 = 83[/tex]
[tex]\angle 11 = 66[/tex]
[tex]\angle 12 = 114^o[/tex]
[tex]\angle 13 = 83^o[/tex]
[tex]\angle 14 = 97^o[/tex]
[tex]\angle 15 = 114^o[/tex]
[tex]\angle 16 = 66^o[/tex]
Given that:
[tex]\angle 9 = 97^o[/tex]
[tex]\angle 12 = 114^o[/tex]
The following angles are congruent by theorem of vertical angles.
[tex]\angle 9[/tex] and [tex]\angle 14[/tex]
[tex]\angle 12[/tex] and [tex]\angle 15[/tex]
So, we have:
[tex]\angle 14 = 97^o[/tex]
[tex]\angle 15 = 114^o[/tex]
Apply the theorem of angles on a straight line, we have:
[tex]\angle 9 + \angle 10 = 180[/tex]
[tex]\angle 11 + \angle 12 = 180[/tex]
So, we have:
[tex]\angle 10 = 180 - 97[/tex]
[tex]\angle 10 = 83[/tex]
[tex]\angle 11 = 180 - 114[/tex]
[tex]\angle 11 = 66[/tex]
The following angles are congruent by theorem of vertical angles.
[tex]\angle 10[/tex] and [tex]\angle 13[/tex]
[tex]\angle 11[/tex] and [tex]\angle 16[/tex]
So, we have:
[tex]\angle 13 = 83^o[/tex]
[tex]\angle 16 = 66^o[/tex]
The following angles are congruent by theorem of corresponding angles.
[tex]\angle 9[/tex] and [tex]\angle 1[/tex] [tex]\angle 13[/tex] and [tex]\angle 5[/tex] [tex]\angle 10[/tex] and [tex]\angle 2[/tex]
[tex]\angle 14[/tex] and [tex]\angle 6[/tex] [tex]\angle 11[/tex] and [tex]\angle 3[/tex] [tex]\angle 15[/tex] and [tex]\angle 7[/tex]
[tex]\angle 12[/tex] and [tex]\angle 4[/tex] [tex]\angle 16[/tex] and [tex]\angle 8[/tex]
So, we have:
[tex]\angle 1 = 97^o[/tex]
[tex]\angle 4 = 114^o[/tex]
[tex]\angle 6 = 97^o[/tex]
[tex]\angle 7 = 114^o[/tex]
[tex]\angle 2 = 83[/tex]
[tex]\angle 3 = 66[/tex]
[tex]\angle 5 = 83^o[/tex]
[tex]\angle 8 = 66^o[/tex]
Read more about corresponding and vertical angles at:
https://brainly.com/question/14209455
if you can answer any of these please do and put the question number by the answer
Parallel lines s and t are cut by a tranversal r. Which angles are alternate interior angles? <3 and <5 <1 and <7 <3 and <7 <4 and <5
Answer:
it Would be easier to answer with a picture but since these Question are normaly the same picture but it is Angle 3 and 7
Step-by-step explanation:
#NO ADDS
Use the Distributive Property to simplify. s 5 a solution to 2t - 1 = 11?
Answer:
5 is NOT a solution to the equation.
t = 6
Step-by-step explanation:
Step 1: Write out equation
2t - 1 = 11
Step 2: Add 1 to both sides
2t = 12
Step 3: Divide both sides by 2
t = 6
Please help! I’ll give brainliest!!
1. What is a proportion? Show example.
2. How do you solve propositions?
3. What is the “easy” method to solving proportions?
Answer:
1.a part, share, or number considered in comparative relation to a whole.
1/3 = 2/6
2.If a proposition is true, then we say it has a truth value of "true"; if a proposition is false, its truth value is "false". For example, "Grass is green", and "2 + 5 = 5" are propositions. The first proposition has the truth value of "true" and the second "false".
3.
Don't confuse cross multiplication with cross cancellation. You use cross cancellation to make multiplying fractions easier. Set the two cross products equal to each other. 1 · 2 = 2 and 0.5 · f = 0.5f.
the cost of a camp is $300 for the first week and $125 for each week beyond the first. the total cost can be modeled by the expression 300+125(x-l). what does (x-l) repreasent
Answer: hopefully this helps
D. The number of weeks after the first week
Step-by-step explanation:
Euclid relied on five basic axioms to build the propositions in his book Elements. The first axiom states, “Things that are equal to the same thing are also equal to one another.” Which modern mathematical statement is equivalent to this axiom? Will give brainiest Asap If a = b, then b = a. If a = b and b = c, then a = c. If a ≠ b, then b ≠ a. If a = b, then a + c = b + c.
Answer: B
Step-by-step explanation:
Answer:
B. If a = b and b = c, then a = c.
Step-by-step explanation:
I just did it.
who can solve these!!!
Answer:
1. 5 months2. 147 pagesStep-by-step explanation:
1....................................
Company A
75 + 20xCompany B
35xTime required:
75 + 20x = 35x15x = 75x = 5 months2....................................
Set up fee = $15
Additional fee= $0.17 per page
Max amount= $40
0.17x + 15 < 400.17x < 25x < 25/0.17x < 147Max number of pages is 147
Step-by-step explanation:
the solution is attached
have a good day
will give brainliest and 20 points:
f(x+1) = 8(x+1)^2+3(x+1)-8
Answer:
Step-by-step explanation:
If (42)p = 414, what is the value of p? (1 point) Question 5 options: 1) 7 2) 8 3) 12 4) 16
HELP ME PLEASE WILL OD ANYTHUNIGN
Answer:
5.4ft²
Step-by-step explanation:
Area of yellow region
= area of square - area of circle
Area of square= side ×side
Area of circle= πr²
5ft is the length of a side of the square, as well as the diameter of the circle.
Diameter= 2 ×radius
Radius or circle, r
= 5 ÷2
= 2.5 ft
Area of yellow region
= (5 ×5) - π(2.5²)
= 25 -6.25π
= 5.4 ft² (to nearest tenth)
The measure of two vertical angles are given by the expressions (x+3) and (2x-7). Find the value of x.
Answer:
61.3
Step-by-step explanation:
two vertical angles add up to 180°
so (x+3)+(2x+7)=180°
open brackets & collect like terms
x+3+2x-7=180°
3x+-4=180°
3x=184°
x=61.3 after dividing by 3 on both sides
convert 23456 octal into hexa number system
Answer:
272E
Step-by-step explanation:
What is -8-__=-5
And how do i do it step by step?
Answer:
-3
Step-by-step explanation:
-5 is greater than -8, so in order for a subtraction problem to give a higher number is if it is negative, because a negative negative is a positive.
-8--3=-5
This is another way of saying
-8+3=-5
Find the mid point (-5,3) and (-3,-3)
Answer:
(-4, 0)
Step-by-step explanation:
midpoint formula: (x₁ + x₂) / 2 , (y₁ + y₂) / 2
(-5, 3) & (-3, -3)
(-5 - 3) / 2 , (3 - 3) / 2
-8/2 , 0/2
(-4, 0)
How do i find the vertex of the equation y=(x+5)(x+4)?
Answer:
Step-by-step explanation:
y=(x+5)(x+4)=x²+5x+4x+20=x²+9x+20=x²+9x+(9/2)²-(9/2)²+20
[tex]y=(x+\frac{9}{2} )^2-\frac{81}{4} +20\\y=(x+\frac{9}{2})^2-\frac{81}{4}+\frac{80}{4}\\y=(x+\frac{9}{2})^2-\frac{1}{4}[/tex]
vertex is (9/2,-1/4) or(4.5,-0.25)
