The graph shows the total number of participants in a town's recreation program at the end of every year since the year 2000. The line of best fit for the data is given by the equation =13+50, where y is the total number of participants x years after the beginning of the year 2000.
Which statement correctly interprets the slope of the line of best fit?
A. The rate of change is 1 new participant every 13 years.
B. The rate of change is 13 new participants every 13 years.
C. The rate of change is 13 new participants every year.
D. The rate of change is 50 new participants every year.
Answer:
B
Step-by-step explanation:
Answer:
The rate of change is 13 new participants every year.
Step-by-step explanation:
y=13x+50
This is in the form y = mx+b where m is the slope and b is the y intercept
x is the number of years so for every year increase we gain 13 new participants
The experiment proceeded as normal, with the experimental group hearing about the potential presence of a gun as the confederates left the study and the control group not hearing about the gun. Unfortunately, word spread around campus about a man with a gun who stole a laptop during a study. Unknown to the study researchers, many potential participants participated in the research anyway, and kept an eye out for a gun, knowing that they might be asked about it. The researchers found that those in the experimental group did not differ from those in the control group about the likelihood of a gun. That is, the mean score that a gun was present during the second interview was similar for the experimental group (M = 67%, SD = 12.4%) and the control group (M = 63%, SD = 11.16%).
Maturation
Regression to the mean
Selection
Mortality
Instrumentation
Testing
History
Interactions
Diffusion
No Threat
Answer:
The answer is "The threat to internal validity is mortality".
Step-by-step explanation:
It signifies that while in terms of your study, persons were "morning." It usually signifies when people leave the studies. There will be only likely if indeed the experiment lasts a long period that it'll be a substantial danger to validity and reliability because the chance for drops increases. Eight content validity risks are history, maturity, instrument, test, choice, average regress, human engagement, and mortality.
When Annie hits a softball, the height of the
ball above the ground after t seconds is given
by h = -4.9/2 + 19.61 + 1.4 metres. Find the
maximum height reached by the ball.
Answer:
21 metres.
Step-by-step explanation:
I think you mean the equation to be:
h = -4.9t^2 + 19.6t + 1.4
To find the maximum height we convert the equation to vertex form:
h = -4.9(t^2 - 4t) + 1.4
h = -4.9[(t - 2)^2 - 4] + 1.4
h = -4.9(t - 2)^2 + 19.6 + 1.4
h = -4.9(t - 2)^2 + 21.
The maximum height is 21 metres.
3. Triangle ABC shows the measures of the three angles. Which expression gives the greatest value 35 120 25
AB+BC
AC+ BC
AB+AC
Answer:
(AB+BC)
Step-by-step explanation:
(1) 155+145= 300
I need help with this question
Answer:
C. prime Factorization
Step-by-step explanation:
If A = –2p + 7 and B = p2 + 3p – 5, find an expression that equals A – 3B in
standard form.
Answer:
-3p^2 - 11p + 22
Step-by-step explanation:
A - 3B becomes (-2p + 7) - 3*(p^2 + 3p - 5).
Perform the indicated multiplication, obtaining:
(-2p + 7) - 3p^2 - 9p + 15, and then:
-2p + 7 - 3p^2 - 9p + 15, or (combining like terms):
-3p^2 - 11p + 22
For all x -4 which of the following is equivalent to the expression below?
x2 + 12x + 32 / x + 4
A. X + 3
B. X + 8
C. X + 11
D. X + 16
E. X + 28
A and e
Step-by-step explanation:
i did this on khan so I know it
The expression (x² + 12x + 32)/(x + 4) is equivalent to (x+8) option (B) (x+8) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]=\rm \dfrac{x^2 + 12x + 32} { x + 4}[/tex]
[tex]=\rm \dfrac{(x+4)(x+8)} { x + 4}[/tex]
As it is given, x ≠ -4
We can cross the term (x+4) from the numerator and denominator.
= (x+8)
Thus, the expression (x² + 12x + 32)/(x + 4) is equivalent to (x+8) option (B) (x+8) is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
csc^ 2 theta- csc^ 2 theta sec^ 2
Answer:
-csc²θ(tan²θ)
Step-by-step explanation:
csc²θ-csc²θ(sec²θ)
-csc²θ(-1+sec²θ)
-csc²θ(tan²θ)
25 points! Please help!
Answer:
17.5(D)
Step-by-step explanation:
So, lets see:
Every 5 minutes, Raul answers 22 questions.
The test has 77 questions.
We must figure out the time it takes to answer all 77 questions.
To do this, lets first divide the total questions by the questions answered per 5 minutes:
77 / 22
=
3.5
I got 3.5 knowing that 3x22 is 66, and half(0.5) of 22 is 11, and 11 plus 66 is 77.
So, the 3.5 is how many times he answrs 22 questions in five minutes.
To make a bit more sense, basically we have to multiply the 5 minutes by the 3.5:
3.5*5
=
17.5
We know that 3 times 5 is 15. Half(0.5) of 5 is 2.5, so 15+2.5 is 17.5.
So the answer is that for the 77 quesitons, it takes 17.5 minutes
HOPe this helps!
What is the perimeter of the shape?
- 12 feet
-14 feet
-26 feet
-38 feet
Answer:
26 ft
Step-by-step explanation:
Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm.
Answer:
[tex]\displaystyle V = 147 \pi \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
h = 9 cm
r = 7 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cone Formula]: [tex]\displaystyle V = \frac{1}{3} \pi (7 \ cm)^2(9 \ cm)[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{1}{3} \pi (49 \ cm^2)(9 \ cm)[/tex]Multiply: [tex]\displaystyle V = \frac{1}{3} \pi (441 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = 147 \pi \ cm^3[/tex]Answer:
Solution given:
height[h]=9cm
radius [r]=7cm
volume of cone =?
we have
Volume of cone:⅓πr²h=⅓*π*7²*9=⅓*22/7*7²*9=
462cm³
volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm is 462cm³.
A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.
Answer:
A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.
Step-by-step explanation:
A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.
If Matt's share is 20% less than Kate's, how much is Kate's share more than Matt's?
A.
O 25%
B.
0
33.33%
38
C. O 20%
D. O 50%
Please help, I am struggling with learning about this
Answer:
canvas? or is that a different website
Step-by-step explanation:
Change of Base formula: [tex]log_ax=\frac{log_bx}{log_ba}[/tex]
b can be any number.
This formula is used because a lot of calculators can't calculate a logarithm with a base other than 10, so calculators don't show the bases, it is already assumed as base 10.
[tex]log_725=\frac{log_{10}25}{log_{10}7}[/tex]
Type log(25) / log(7) to get: 1.6542
Pls let me know if u have any questions about logarithms, it helps me study!!
One term of a geometric sequence is a4=135. The common ratio is r=3. Write an explicit rule for the nth term.
Answer:
[tex]a_{n} = 5 * 3^{n-1}[/tex]
Step-by-step explanation:
To find the nth term of a geometric sequence, you have the general formula:
[tex]a_{1} *r^{n-1}[/tex]
where a1 is the first term and r is the common ratio. In order to find the 4th term, we can substitute what we have(n is 4 because we are looking for the fourth term):
135 = [tex]a_{1} * 3^{4 - 1}[/tex]
135 = [tex]a_{1} * 3^3[/tex]
135 = [tex]27a_{1}[/tex]
[tex]a_{1} = 5[/tex]
Now, we can substitute the first term back in:
[tex]a_{n} = 5 * 3^{n-1}[/tex]
Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so what are ratio of all players sixth graders on the team
Answer:
14:3
Step-by-step explanation:
14 total.
all players : sixth graders
14:3
Question in screenshot
Answer:
See below
Step-by-step explanation:
[tex]y = {u}^{ \frac{3}{2} } \\ \\ \therefore \: \frac{dy}{du} = \frac{3}{2} {u}^{ \frac{3}{2} - 1 } = \boxed{\frac{3}{2} {u}^{ \frac{1}{2}} } \\ \\ u = 8x + 3 \\ \\ \frac{du}{dx} = 8.1 + 0 = \boxed{8}[/tex]
please answer ive been having such a bad day today
Answer:
A - y = 2x + 1
Step-by-step explanation:
2(2) + 1 = 5
2(4) + 1 = 9
2(6) + 1 = 13
Hope this helps <3
find the vertex of the graph of the following quadratic equations y= -3x^2 -12x-13
Answer:
Step-by-step explanation:
The vertex is a point. The x value is defined as x = - b / 2a where
a = -3
b = - 12
x = - -12/ 2* -3
x = 12 / - 6
x = -2
what is y when x = - 2?
y = -3(-2)^2 - 12(-2) - 13
y = -12 + 24 - 13
y = -1
Does the graph agree? It should
The equation is written as
y = -3(x + 2)^2 - 1
Find the surface area of the sphere with the given diameter or radius
d=8ft
Answer:
64π sq.ft. or ≈201.06sq.ft.
Step-by-step explanation:
use 4πr² 4π(4)² = 4π(16) = 64π sq.ft. or ≈201.06sq.ft.
Which term describes a fraction that has a polynomial in its numerator and denominator?
Answer:
Rational expression
Step-by-step explanation:
Solid: What is the surface area of the pyramid? 7
units2 5 5 5 5 a
wats the answer plz
Answer:
i am so sorry if its wrong
Each of the triangles making up the sides and base have a base of 8 cm and a height of 6.9 cm. Then the area of the pyramid is that of 4 such triangles.
A = 4×(1/2)×b×h
A = 2×(8 cm)×(6.9 cm)
A = 110.4 cm²Step-by-step explanation:
Help pls I’ll mark you brainliest
Answer:
9
Step-by-step explanation:
9
simplify the following expression (-5x + 6x2) - (6x2 – 5x)
Answer:
0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(-5x + 6x²) - (6x² - 5x)
Step 2: Simplify
[Distributive Property] Distribute negative: -5x + 6x² - 6x² + 5x[Subtraction] Combine like terms (x²): -5x + 5x[Addition] Combine like terms (x): 0Answer:
❊ [tex] \large{ \tt{STEP - BY - STEP \: EXPLANATION}} : [/tex]
♡ Firstly , Here are some of the questions & their answers which should be known before simplifying the given expression :
Q. Do I have to change the sign of each term of second expression while subtracting ?
Ans : Yep! While subtracting , sign of each term of the second expression changes whereas In addition , sign of each term in the expressions remains unchanged.
Q. What do you mean by Like terms & Unlike terms ?
Ans : Well , Like terms are those which have the same base whereas Unlike terms are those which have the different base [ For eg : In 4x , 2y , 3x & 4y , 4x & 3x are like terms and 2y and 4y are like terms ]. Also Remember : Only coefficients of like terms can be added or subtracted.
The Question / Answer part ends up here. Now , Let's get started for simplifying the given expression :
[tex] \large{ \bf{❊ \: ( - 5 {x}^{} + 6 {x}^{2} ) - (6 {x }^{2} - 5x)}}[/tex]
[tex] \large{ \bf{ ↬ \: - 5x + 6 {x}^{2} - 6 {x}^{2} + 5x}}[/tex]
[tex] \large{ \bf{↬ - 5x + 5x + 6 {x}^{2} - 6 {x}^{2} }}[/tex]
-Here , We can see the like terms with different signs. So, they cancel out each other.
[tex] \large{ \bf{↬ \: \cancel{5x} + \cancel{5x}} + \cancel{6 {x}^{2}} - \cancel{6 {x}}^{2} }[/tex]
-We're left with nothing , So the answer would be ' 0 ' .
[tex] \boxed{ \large{ \bf{↬0}}}[/tex]
[tex] \boxed{ \boxed {\large{ \tt{⟿ \: OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{0}}}}}}}[/tex]
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what is the slope of this graph
Answer:
Slope, m = 5
Step-by-step explanation:
Picking points on the x-axis and y-axis of the graph;
Point on x-axis (x1, x2) = 2, 4
Points on the y-axis (y1, y2) = 10, 20
To find the slope;
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {20 - 10}{4 - 2} [/tex]
[tex] Slope, m = \frac {10}{2} [/tex]
Slope, m = 5
If 7 - 3 and a + b = 2, what is a – b?
Answer: a-b=45
Step-by-step explanation:
if 7-3 is 2 then there is a-b then in my view the answer should be 2
What is the volume of a rectangular prism that has a length of 18 inches, a width of 1 foot, and a height of 14 inches?
Answer:
3024
Step-by-step explanation:
l * w * h
18 in. * 12 in. * 14 in.
there are 12 inches in 1 foot.
A box contains 16 red marbles, 25 green marbles, 4 yellow marbles and 10 blue marbles. A marble is chosen at random. What is the probability of not choosing a green marble
Answer:
Step-by-step explanation:
Subtract 9 from 13, then multiply the result by 2
Please help. I’m a bit confused on what I have to do.
Answer:
A
Step-by-step explanation: