Answer:
C) Experiment
Step-by-step explanation:
With a controlled experiment, a researcher can use a student batch that studied the old curriculum as a control group, and the new batch of students as the 'test' group. To measure student achievement, the researcher would need to either:
1. compare test results for the 2 groups
2. do a longitudinal study - follow the 2 groups of students across several years, and track their 'achievements' (university admissions, jobs, income, etc)
With the other 3 options, the results wouldn't necessarily be accurate or relevant.
Find the equation of a straight line which passes through the point (3, 2) and is perpendicular to the line 3x + 5y =10. Hence, determine the gradient and y-intercept of the equation.
Answer:
Step-by-step explanation:
eq of line perpendicular to 3x+5y=10 is
5x-3y=a
where a is constant.
it passes through (3,2)
5(3)-3(2)=a
a=15-6=9
reqd. eq. is 5x-3y=9
or
3y=5x-9
y=5/3 x-3
gradient=5/3
y-intercept=-3
or
5y=-3x-10
y=-3/5 x-2
slope=-3/5
slope of reqd. line=-1/(-3/5)=5/3
eq. of line through (3,2) is
y-2=5/3(x-3)
3y-6=5x-15
3y=5x-15+6
3y=5x-9
y=5/3 x-3
Describe the transformations to the graph of y = x² to obtain y = -2 ( x + 5 )²- 3 .
Using translation concepts, the transformations are given as follows:
Reflection over the x-axis.Vertical stretch by a factor of 2.Shift left of 5 units.Shift down by 3 units.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
y = x².
The translated function is:
y = -2(x + 5)² - 3.
In this problem, we have that:
The function was multiplied by -2, hence it was reflected over the x-axis, as it was multiplied by a negative value, and vertically stretched by a factor of 2.x -> x + 5, hence the function was shifted left 5 units.y -> y - 3, hence the function was shifted down 3 units.More can be learned about translation concepts at https://brainly.com/question/4521517
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Which expression is equivalent to
The expression is equivalent to 2 , option C is the right answer.
What is an Expression ?An expression in maths is a statement that contains , constants , variables and mathematical operators.
The expression given in the question is
[tex]\rm \dfrac { 4^{\frac{5}{4}} * 4^{\frac{1}{4}}} {4^{\frac{1}{2}}}[/tex]
Applying exponent rule
[tex]\rm a^m * a^n = a^{m+n}[/tex]
[tex]\rm \dfrac { 4^{\frac{5}{4} +\frac{1}{4}}} {4^{\frac{1}{2}}}[/tex]
Applying exponent rule
[tex]\rm \dfrac{a^m}{a^n} = a^{m-n}[/tex]
[tex]\rm { 4^{\frac{5}{4} +\frac{1}{4} -{\frac{1}{2}}}[/tex]
On solving the exponents
=(6/4) -(1/2)
=4/4
=1
=[tex]\rm 4^{\frac{1}{2}}[/tex]
= 2
Therefore the expression is equivalent to 2 , option C is the right answer.
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Write an equation of a circle with the given center and radius. Check your
answers,
(-4,-6), 7
Answer: [tex]\boldsymbol{(x + 4)^2 + (y + 6)^2 = 49}\\\\[/tex]
Work Shown:
[tex](h,k) = (-4,-6) = \text{center}\\\\r = 7 = \text{radius}\\\\(x - h)^2 + (y - k)^2 = r^2\\\\(x - (-4))^2 + (y - (-6))^2 = 7^2\\\\\boldsymbol{(x + 4)^2 + (y + 6)^2 = 49}\\\\[/tex]
To check the answer, you can use a graphing calculator like GeoGebra or Desmos or similar.
If PQRS is a rhombus,which statement must be true? Check all that apply.
Answer: A, B, C, D
Step-by-step explanation:
A. This is true because all rhombi are parallelograms, and diagonals of a parallelogram bisect each other.
B. This is true because the diagonals of a rhombus are perpendicular.
C. This is true because diagonals of a rhombus bisect the angles from which they are drawn,
D. This is true because all sides of a rhombus are congfruent.
E. This is not always true - all rhombi are parallelograms, and adjacent angles of a parallelogram are supplementary, but not always congruent.
F. This is not always true - diagonals of a rhombus are not always congruent.
Teachers need to help children to view and describe their world mathematically. Which of the following would NOT be a recommendation?
A. Encourage children to recognize and talk about math in everyday situations.
B. Support children in linking formal math vocabulary, symbols, and procedures to their informal knowledge and experiences.
C. Provide math quizzes to help children learn how to apply their math knowledge.
Encourage children to recognize and talk about math in everyday situations, this statement teacher not recommendation.
What is mathematics?
Quality, structure, space, and change are the subjects of study in mathematics. The study of mathematics involves utilizing symbols and numbers to quantify and analyze the characteristics of quantities and sets.
It is impossible to encourage kids to understand and discuss arithmetic in normal contexts since the subject's solutions are based on numbers and symbols, which makes it inappropriate.
As a result, option (a) is correct.
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There are 32 students in the orchestra and twice that number in the band. There are 19 boys and 11 girls in the choir. If each student only participates in one group, how many students total are there in the orchestra, the band, and the choir?
The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. The total number of students that are in the orchestra, the band, and the choir is 126.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
There are 32 students in the orchestra and twice that number in the band. Therefore the number of students in the band is:
Number of students in band = 2 (Number of students in Orchestra)
= 2 × 32 = 64
The number of students in the Choir is the sum of the number of boys and girls. Therefore, the number of students in the Choir is,
Number of students in the Choir = 19 + 11 = 30
Total number of students = 32 + 64 + 30 = 126
hence, the total number of students that are in the orchestra, the band, and the choir is 126.
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which variable expression describes the area of the shaded region in the diagram shown below ?
Answer: B
Step-by-step explanation:
The area of entire rectangle is (9)(4)=36.
The area of the square inside is [tex]x(x)=x^2[/tex]
Subtracting the areas, we get [tex]36-x^2[/tex]
An angle measures 87.6° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
1.2° and 88.8°Step-by-step explanation:
Complementary angles are angles that add up to 90°.
Let's say angle 1 is x, and angle 2 is 87.6 less than x.
We already know that angle 1 + angle 2 = 90, so we can just substitute x now.
We know that complementary angles add up to 90, so one of the angles is 90-x, and the other one is 90-x-87.6.
x = (90 - x) - 87.6
Simplifies to:
x = 2.4-x
Add x to both sides
2x = 2.4
Divide by 2
x = 1.2
To get the other angle, add 87.6 to 1.2
1.2+87.6 = 88.8
So, angle1 = 1.2, and angle2 = 88.8
Let's check our work.
88.8 + 1.2 = 90, so the angles are complementary and have a difference of 87.6
Hope this helps (:
Answer:
1.2°, 88.8°
Step-by-step explanation:
let one angle=x
other angle=y
y=x-87.6
also
x+y=90
x+x-87.6=90
2x=90+87.6=177.6
x=88.8
other angle=88.8-87.6=1.2
If [tex]\frac{w}{y} = \frac{y}{z} then what is the value of x?[/tex]
The value of x in the given expression is; x = wz/y
How to change subject of formula?We are given the expression;
w/x = y/z
Now, we want to find the value of x which means we want to make x the subject of the formula. Thus;
Multiply both sides of the given expression by x to get;
(w/x)*x = (y/z)*x
⇒ w = xy/z
Now, multiply both sides by z/y to get;
w(z/y) = (xy/z) * (z/y)
wz/y = x
Thus, the value of x in the given expression is;
x = wz/y
The correct question is;
If w/x = y/z, then what is the value of x
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Question 16 of 50
Jayden received a bonus check from his work for $6,000. He is going to deposit the money into a bank account that receives 5% compounded annually.
The amount of interest earned after year 5 is:
O $7,657
O $8,421
O $7,300
i need help with the problem PLS help
1) It's best to draw out a picture of a rectangle and label each corner with the coordinates given: Let's say (-5, 2) is point A, (-5, -2 1/3) is point B, (2 1/2, 2) is point C, and (2 1/2, -2 1/3) is point D.
2) That being said, line AB is one side of the rectangle, BC is another, CD is another, and lastly, AD is the fourth side.
3) We can use the distance formula and plug in the coordinates of each line to find how long every side is. Then you just need to solve it.
For example: if I want to find how long side AB is, I would use the point A (-5, 2) and B (2 1/2, 2) and plug them into the distance formula, where (-5, 2) is (x1, x2) and (2 1/2, 2) is (x2, y2) and solve that.
4) Repeat this process with side BC, CD, and AD, and add the results together. This will be your final answer; the perimeter of the rectangle.
melissa worked 7 hours and 40 minutes last monday. she makes 16 dollars and hour.how much did she make for those hours she worked on that day?
HELP ME!!!!Question 13 of 25
What is the approximate value of tan B?
h
17.46
16
A. 2.29
B. 0.40
C. 0.44
D. 0.92
Answer: A
tan= Opposite ÷ Alternate
tan B= 16 (which is the opposite side of B) ÷ 7 (it's the side beside B, excluding 17.46 as it's the hypotenuse)
Therefore 16÷7 = 2.285714286
= 2.29 (3sf)
Answer:
just choose one
If property taxes (part of the fixed costs) are decreased by $12,000 per year, what effect does this have on the graph of the cost function?
Option D. If property taxes are decreased by $12000, the effect that it would have on the cost function is shifts downward by 12 units.
How to solve for the effect on the graphWe have a function of this type
fx = Ax + B
where A = labor and material
B = fixed cost
We have a graph of this form. g(x) = ax + b - 12, with b and a representing costs in thousands of American currency.
Complete questionA factory has a linear cost function f(x)=ax+b, where b represents fixed costs and a represents the labor and material costs of making one item, both in thousands of dollars. If property taxes (part of the fixed costs) are decreased by $12,000 per year, what effect does this have on the graph of the cost function? a. shifts to the left by 12 units b. shifts to the right by 12 units c. shifts upward by 12 units d. shifts downward by 12 units
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2 In the diagram below of AABC, TV || BC, AT = 5,
TB = 7, and AV = 10.
B
A
What is the length of VC?
1) 3-1/2
2) 7-½-1
3) 14
4) 24
C
4
Answer:
14
Step-by-step explanation:
AT/TB = AV/VC
5/7 = 10/VC
VC = 14
For the given figure length of VC = 14.
In the given figure,
We can see that,
ΔATV and ΔABC are similar triangle,
Since we know that,
Similar triangles are triangles that have the same shape but differ in size. Similar items include all equilateral triangles and squares with any side length. In other words, if two triangles are identical, their corresponding angles and sides are congruent and in equal proportion. The '' sign here denotes the resemblance of triangles.
Therefore,
AT/TB = AV/VC
It is given that,
AT = 5
TB = 7
AV = 10
Now put these values we get,
⇒ 5/7 = 10/VC
⇒ VC = 14
Hence,
Length of VC is 14 units.
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Calculate the slope of the line between each pair of coordinates.
a. A: (3, 6) and B: (4, -3)
b. C: (-5, -3) and D: (-3, -7)
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Calculate the slope of the line between each pair of co-ordinates
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
[tex]\LARGE\textsf{Question 1}}[/tex]
The points given are,
[tex]\begin{cases} \bf{(3,6)} \\ \bf{(4,-3) \end{cases}[/tex]
To find the slope [tex]\textbf{M}[/tex] of this line,
we will utilise the [tex]\textbf{Slope Formula}[/tex].
The first thing to do is
to put in the co-ordinates
of the two points given.
[tex]\bf{\dfrac{-3-6}{4-3}}[/tex] | subtract on top and bottom
[tex]\bf{\dfrac{-9}{1}}[/tex] | divide on top and bottom
[tex]\bf{-9}[/tex]
[tex]\LARGE\textsf{Question 2}[/tex]
The points given this time are,
[tex]\begin{cases} \bf{(-5,-3)} \\ \bf{(-3,-7)} \end{cases}}[/tex]
Last time we needed to
put in the co-ordinates.
Similarly, we ought to
put in the co-ordinates
in this problem.
[tex]\bf{\dfrac{-7-(-3)}{-3-(-5)}}[/tex] | simplify
[tex]\bf{\dfrac{-7+3}{-3+5}}[/tex] | add on top and bottom
[tex]\bf{\dfrac{-4}{2}}[/tex] | divide on top and bottom
[tex]\bf{-2}[/tex]
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{\begin{cases}\bf{Slope=-9} \\ \bf{Slope=-2} \end{cases}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic \not1 \theta l}}[/tex]
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X<5), n=6, p=0.3
The required probability of success is given by 0.98906500
Assume the random variable X has a binomial distribution with the given probability of obtaining a success.
P(X<5), n=6, p=0.3
In binomial distribution for number trials we are investigating the probability of getting a success remain the same.
n = number of trails,
p = probability of success
x = the number of success
p(x<5) = P(x=0)+ p(x=1) + p(x=2)+p(x=3)+p(x=4)
= [tex]\binom{6}{0}(0.3)^0(1-0.3)^6+\binom{6}{1}(0.3)^1(1-0.3)^5+\binom{6}{2}(0.3)^2(1-0.3)^4+\binom{6}{3}(0.3)^3(1-0.3)^3+\binom{6}{4}(0.3)^4(1-0.3)^2[/tex]
p(x<5) = 0.98906500
Thus the required probability of success is given by 0.98906500
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A company pays $10 per hour for up to eight hours of work. What is the equation for total pay why for hours for ex for 0 to 8 hours of work X
The equation for total pay is y = 10/8x.
What is the equation?Division is the mathematical operation that is used to determine the quotient of a number. In order to determine the total pay for hours from 0 to 8, the pay per hour has to be determined. To determine this value, divide $10 by 8.
Pay per hour = $10 / 8
y = 10/8x.
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Jenny likes to paint. she estimates the number of paintings she completes using the function p of w equals one half times w plus one, where w is the number of weeks she spends painting. the function j(y) represents how many weeks per year she spends painting. which composite function would represent how many paintings jenny completes in a year?
The composite function of the paintings Jenny completes in a year is
[tex]P(J(y))=\frac{1}{2}J(y)+1[/tex]
What is a composite function?A composite function is a function made of other functions, where the output of one function is the input to the other function.
An example of the composite functions 2x+3 and [tex]x^{2}[/tex] together make the composite function [tex](2x+3)^{2}[/tex]
We have [tex]P(w)=\frac{1}{2}w+1[/tex]
Here, P(w) represents the number of paintings Jenny completes in some w weeks. and
J(y) represents the number of weeks per year.
As J(y) is the number of weeks spent per year in painting, we can calculate the paintings completed in a year by substituting
w as J(y) in the equation we have
Then the equation becomes:[tex]P(J(y))=\frac{1}{2}J(y)+1[/tex]
Hence this is the composite function that would represent the number of paintings Jenny completes in a year.
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please can you help me?
Answer:
A) 65
B) 60
Step-by-step explanation:
64.9963 rounds to 65
To the nearest 10 it would round down as the second intiger the 4 is below 5 meaning as a result it rounds down
After rounding the given number 64.9963:
(a) Near 2 decimal places is: 64.70
(b) And the nearest 10 is: 60
When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
The given number is:
64.9963
To round off the nearest 2 decimal places:
Since the third digit after the decimal is 6 which is greater than 5.
Add 1 to their previous digit.
Therefore,
After rounding near to 2 decimal places the number becomes:
64.70
To round off the nearest 10:
Since the tense digit is 4 and it is less than 5
Therefore,
The number after rounding off the nearest 10 is:
60.
Hence, after rounding the number:
Near 2 decimal places is: 64.70
And the nearest 10 is: 60
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Question
AABC and AXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third
side of each triangle.
с
y = c =
6.5
Provide your answer below:
A
12
C
B
Z
y
4.8
3
Y
Answer:
AABC and AXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle
The function g(x) = 10x2 100x + 213 written in vertex form is g(x) 10(* - 5)2 - 37. Which statements are true
about g(x)? Select three options.
The axis of symmetry is the line x = -5.
The vertex of the
graph is (5, -37).
The parabola has a minimum.
The parabola opens up.
.
The value of a, when the equation is written in vertex form, is negative.
Answer:
Step-by-step explanation:
The best way to answer a question like this one is to use a graphing program on the internet. This graph was done with desmos
It looks to me that the equation is g(x) = 10(x - 5)^2 - 37
I checked to see that this is correct, and thank goodness it is.
The vertex of the graph is (5, -37).The vertex has a minimumThe parabola opens upwardThe graph is shown below.
F THREE DIAGONALS ARE DRAWN INSIDE A HEXAGON WITH EACH ONE PASSING THROUGH THE CENTER POINT OF THE HEXAGON, HOW MANY TRIANGLES ARE FORMED?
If three diagonals are drawn inside a hexagon with each one passing through the center point, six triangles are formed.
Diagonals in a hexagonThere are nine diagonals in a regular hexagon
But for one with three diagonals drawn through the center, six equilateral triangles are formed.
Thus, if three diagonals are drawn inside a hexagon with each one passing through the center point, six triangles are formed.
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SOMEONE PLS ANSWER STEP BY STEP TY
9k-2≥88 or -34 -4> -25
Hello,
9k - 2 88
⇔ 9k - 2 + 2 ≥ 88 + 2
⇔ 9k ≥ 90
⇔ 9k/9 ≥ 90/9
⇔ k ≥ 10
S = [10 ; + ∞ [
Answer:
k ≥ 10
Step-by-step explanation:
9k - 2 ≥ 88
Step 1 : Add 2 on both sides.
9k - 2 + 2 ≥ 88 + 2
9k + 0 ≥ 90
9k ≥ 90
Step 2 : Divide 9 on both sides.
9k/9 ≥ 90/9
k ≥ 10
Estimate the cost of painting a concrete patio if it is a 12 foot by 12 foot rectangle, and a quart of paint that covers 47 square feet costs $11.99.
Answer: $36.68 or $35.97. Read below.
Step-by-step explanation: You need to multiply the 12 foot by 12 foot and you would get 144 sq feet. Then divide 47 into 144. You will be left with 3.06, and if you need to round, you can round that to 3. Then you need to multiply 3 by $11.99 and you will be left with the cost for the paint, which is $35.97 if you do round to a three, and $36.68 if you do not round the three. So your answer is either $36.68 or $35.97 depending on whether you round or not.
James needs to mix a 10% acid solution with a 50% acid solution to create 100 milliliters of a 26% solution. How many milliliters of each solution must James use?
James must mix _____ milliliters of 10% solution and____milliliters of 50% solution.
James must mix 60 millilitres of 10% solution and 40 millilitres of 50% solution.
Given that, James needs to mix a 10% acid solution with a 50% acid solution to create 100 millilitres of a 26% solution.
Let the acid solution needs to mix with 10% be x ml and the acid solution needs to mix with 50% will be 100 - x ml.
Now,
10% x + 50% ( 100 - x ) = 26% ×100
⇒[tex]\frac{10x}{100} +\frac{50(100-x)}{100}=\frac{2600}{100}[/tex]
⇒10x + 50( 100 - x ) = 2600
⇒10 x + 5000 - 50x = 2600
⇒10 x - 50 x = 2600-5000
⇒-40 x = -2400
⇒x=60
Therefore, James must mix 60 millilitres of 10% solution and 40 millilitres of 50% solution.
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Question 2(Multiple Choice Worth 5 points)
(01.05 LC)
If x² = 10, what is the value of x?
O ± √ 10
O± √20
+5
+20
Answer:
If you mean:
x² = 10
√x² = √10
x = √10
if you meant:
2x = 10
2x/2 = 10/2
x = 10/2
x = 5
hope this helps
If you mean x^2 then there would be no answer after all, 3^2= 9 and 4^2= 16 so
If you mean 2x then the answer would be 5
Step-by-step explanation:
:0
Does anyone know the solution to the 11th number sum? Thank you!
Answer:
20
Step-by-step explanation:
Correct option is A)
let the number be x.
∴75% of x=15
∴
100
75
×x=15
∴x=15×
3
4
∴x=20
The value of x is 20.
Whats the correct answer answer asap for brainlist?
Answer:
b elephants and zebras
Step-by-step explanation:
Answer:
Step-by-step explanation:
Comment
I'll give you the answer, but my guess is the question will be deleted because it is in the wrong place.
The answer is B. You might think it is D but those creatures are mostly in North America.