Answer:
Independent variable: Number of laptops
Dependent variable: Grades
Step-by-step explanation:
According to the Question,
Given That, John wants to study whether a larger number of laptops available to students at his school lead to higher grades.The independent variable is the cause. Its value is independent of other variables in your study. Independent variable: Number of laptops The dependent variable is the effect. Its value depends on changes in the independent variable. Dependent variable: Gradesf(x)=3x^2 and g(x)=x+2 find (f.g)(x)
Answer:
3[tex]x^{3}[/tex] + 6[tex]x^{2}[/tex]
Step-by-step explanation:
(f · g )(x) = 3[tex]x^{2}[/tex] · (x + 2) = 3[tex]x^{3}[/tex] + 6[tex]x^{2}[/tex] (Multiply the two terms by distributing)
Two sides of a triangle have the following measures, Vind the range of possible measures for
the third side,
13) 8,7
14) 12,6
A) 1
B) 2 < x < 14
C) 1
D) 1
A) 8
B) 9
C) 8 < X < 18
D) 6 < X < 18
Answer:
[tex](13)\ 1 <x < 15[/tex]
[tex](14)\ 6 <x < 18[/tex]
Step-by-step explanation:
Question 13:
[tex]a,b = 8,7[/tex] -- the two sides
Using triangle inequality theorem, we have:
[tex]a + b > x[/tex]
[tex]a + x > b[/tex]
[tex]x + b > a[/tex]
So, we have:
[tex]a + b > x[/tex]
[tex]8 + 7 > x[/tex]
This gives:
[tex]15 > x[/tex]
[tex]a + x > b[/tex]
[tex]8 + x > 7[/tex]
Collect and evaluate like terms
[tex]x > -1[/tex]
[tex]x + b > a[/tex]
[tex]x + 7 > 8[/tex]
Collect and evaluate like terms
[tex]x > 1[/tex]
Ignore the inequality with a negative value.
So, we have:
[tex]x > 1[/tex] and [tex]15 > x[/tex]
Rewrite as:
[tex]1< x[/tex] and [tex]x < 15[/tex]
Merge
[tex]1 <x < 15[/tex]
Question 14:
[tex]a,b = 12,6[/tex] -- the two sides
Using triangle inequality theorem, we have:
[tex]a + b > x[/tex]
[tex]a + x > b[/tex]
[tex]x + b > a[/tex]
So, we have:
[tex]a + b > x[/tex]
[tex]12 + 6 > x[/tex]
This gives:
[tex]18 > x[/tex]
[tex]a + x > b[/tex]
[tex]12 + x > 6[/tex]
Collect and evaluate like terms
[tex]x > -6[/tex]
[tex]x + b > a[/tex]
[tex]x + 6 > 12[/tex]
Collect and evaluate like terms
[tex]x > 6[/tex]
Ignore the inequality with a negative value.
So, we have:
[tex]x > 6[/tex] and [tex]18 > x[/tex]
Rewrite as:
[tex]6< x[/tex] and [tex]x < 18[/tex]
Merge
[tex]6 <x < 18[/tex]
find the value of x and HI. H and J are the endpoints
Answer:
x = 6
HI = 29
Step-by-step explanation:
✔️HI = ½(AB) => Triangle Mid-segment Theorem
HI = 5x - 1
AB = 58
Plug in the values and solve for x
5x - 1 = ½(58)
5x - 1 = 29
Add 1 to both sides
5x - 1 + 1 = 29 + 1
5x = 30
Divide both sides by 5
5x/5 = 30/5
x = 6
✔️HI = 5x - 1
Plug in the value of x
HI = 5(6) - 1
HI = 30 - 1
HI = 29
What does 8 represent in the decimal 478.92?
Answer:
ones
Step-by-step explanation:
find the gradients of line a and b
Answer:
Gradient of A: 2
Gradient of B: -1
Step-by-step explanation:
Gradient = change in y/change in x
✔️Gradient of A using two points on line A, (2, 5) and (0, 1):
Gradient = (1 - 5)/(0 - 2) = -4/-2
Simplify
Gradient of A = 2
✔️Gradient of B using two points on line B, (0, 5) and (5, 0):
Gradient = (0 - 5)/(5 - 0) = -5/5
Simplify
Gradient of B = -1
please help me please
Answer:
that thing is not seeing properly and you can capture it again and resend it
what is the measure of < B ? help !!
The choose (C) 60
The measure of the angles of a triangle is 180, and this triangle is equilateral, so 180/3=60, each angle is 60°
Just Question B!
One of the numbers in the diagram is chosen at random, find the probability that the number is in set B, giving your answer as a decimal.
Gibing brainlist!
Answer:
0.4 or 0.40
Step-by-step explanation:
There are 10 total numbers. 4 of them are in set B.
So, 4/10 are in set B.
The probability is 0.4 because 4 divided by 10 is 0.4.
Edna earns $680 per week and receives a raise of $95. What is her percentage increase in pay?
Answer:
13.97%
Step-by-step explanation:
Find her percent increase in pay by dividing 95 by 680:
95/680
= 0.1397
Multiply this by 100:
= 13.97
So, her percent increase in pay is approximately 13.97%
Select the correct answer.
A distribution center is redesigning two of its shipping boxes. The volume of these two boxes needs to be the same, and their dimensions are shown.
Write a system of equations to represent the volume of each box, y. Which statement describes the number and viability of the systems solutions?
Answer:
The system has two solutions, but only one is viable because the other results in negative side lengths.
Step-by-step explanation:
correct on edmentum or plato
5
Mark is investing $8,000 in an account paying 5.5% interest compounded weekly.
What will Mark's account balance be in 6 years?
Answer:
you divide a 8000÷ 5.5 yor answer is it
What is 4 and 2/3 written as a radical?
Answer:
14/3
Step-by-step explanation:
4 and 2/3 = 4 2/3 = 4 + 2/3 = 4/1 + 2/3 = 12/3 + 2/3 = 14/3
if the slope of one of these perpendicular lines is -4/5 the slope of the other line is ____
x+3/2 + (x-1) = 4/5
Answer:
x = [tex]\frac{3}{20}[/tex]
Step-by-step explanation:
Given
x + [tex]\frac{3}{2}[/tex] + (x - 1) = [tex]\frac{4}{5}[/tex]
Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions
10x + 15 + 10(x - 1) = 8
10x + 15 + 10x - 10 = 8
20x + 5 = 8 ( subtract 5 from both sides )
20x = 3 ( divide both sides by 20 )
x = [tex]\frac{3}{20}[/tex]
x + 3/2 + x - 1 = 4/5
Collect the same terms
x + x + 3/2 - 1 = 4/5
2x + 3/2 - 2/2 = 4/5
2x + (3 - 2)/2 = 4/5
2x + 1/2 = 4/5
2x + 0.5 = 0.8
Subtract both sides 0.5
2x + 0.5 - 0.5 = 0.8 - 0.5
2x + 0 = 0.3
2x = 3/10
Divide both sides by 2
2x ÷ 2 = ( 3/10 ) ÷ 2
x = 3/10 × 1/2
x = 3/20
_________________________________
Check :3/20 + 3/2 + ( 3/20 - 1 ) = 4/5
3/20 + 30/20 + ( 3/20 - 20/20 ) = 4/5
(3 + 30)/20 + (3 - 20)/20 = 4/5
33/20 - 17/20 = 4/5
(33 - 17)/20 = 4/5
16/20 = 4/5
4 × 4 / 4 × 5 = 4/5
4/5 = 4/5
Thus we found the correct value of x .
And we're done...
Is it possible for an angle in a triangle to be opposite both the longest side of the triangle and the shortest side of the triangle? Explain.
Answer: No, it's not possible.
Explanation: An angle must only be opposite exactly one side.
Match each percent with the fraction or decimal equivalent. 5% 0.25 15% 0.07 6.5% 1 20 25% 0.065 7% 3/20
Answer:
5% = 1/20
15% = 3/20
6.5% = 0.065
25% = 0.25
7% = 0.07
Step-by-step explanation:
I hope this helps! Just ask me if you have any questions.
Have a nice dayy! :)
Answer:
.05 25% .15 7% .065 100% 2000% .25
Step-by-step explanation:
Percentages to decimals :
example
5% = .05
First remove the % sign: 5
Where is the decimal? Here : 5.00
Now move the decimal to the left two places. Fill the gaps with zeros : .05
Another way to do it is by divide the number by 100. Use a calculator if necessary.
Example 2: 6.5%
Move decimal two places to left: .065
Example 3: .56%
Move decimal to places to the left: .0056
Decimals to percentages. Do the exact opposite. Move decimal to places to the right then add the % sign.
Example: .25 becomes 25%
.07 becomes 07% or just 7%
What are equivalent expressions please explain
Answer:
Equivalent expressions are expressions that are the same, even though they may look a little different. If you plug in the same variable value into equivalent expressions, they will each give you the same value when you simplify.
Step-by-step explanation:
If one angle equals 34º, then the measure of its complement angle is 56º.
true or false
Answer:
true
Step-by-step explanation:
complementary angles equal 90° and 34+56 is 90°
Answer:
True
Step-by-step explanation:
Complement angle means that the two angles add up to 90 degrees. We can check this by adding the two given angles together:
34+56=90
90=90
This means that this is true.
I hope this helps and have a great day!
HELP QUICKLY PLEASE!!
Answer:
D
Step-by-step explanation:
Because the first equation is equivalent to 1, and d is equivalent to 1, the rest are incorrect
For the geometric series 2 + 6 + 18 + 54 + ... , find t n
Answer:
i believe its 162
Step-by-step explanation:
hope it helped :>
Easy
a) -2,-5.-8.-11,...
Step-by-step explanation:
???????? what is easy??
Can someone help me solving this problem? I'm confuse so I want help..
question :
a) The length and breadth of a rectangular room are 10m and 8m respectively. How many pieces of carpet 5m long and 2m wide are required to cover it's floor?
Please help me solving this problem !
Answer: 8
Step-by-step explanation:
Please help!!!!!!!! I’ve been stuck on this
Question
The quotient of a number and 5 has a result of 2. What is the number
Answer:
Probably 10
Step-by-step explanation:
10/5=2
Which of the following is equal to 5^1/3?
A. ^3√5 B. 5^3 C. √5•3 D. √5
Answer:
A. ^3√5 is the answer.
Step-by-step explanation:
5^( 1 / 3 ) = ^3√5
The local skating rink pays Mary a fixed rate per pupil plus a base amount to work as a skating instructor. She earns $90 for instructing 15 students on Monday afternoon. Last Friday, she earned $62 for working with 8 students. Lisa is also a skating instructor. She receives half the base amount that Mary does, but she is paid twice as much per student. Who would earn more money instructing a class of 20 students?
answer choice
1. 120
2. 65
3. 15
4. 10
Answer:
ok so lets divide 90 by 15 to get 6 so she gets paid 6 per student and that means lisa gets paid 12 so lets just multiply
6*20=120 so mary gets paid 120
and lisa gets paid doable that so 420
but i don't know there base pay so the i can't answer this problem
Hope This Helps!!!
Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 749. Find a linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course. Round your answer to the tenths place.
Given:
30-hour review course average a score of 620 on that exam.
70-hour review course average a score of 749.
To find:
The linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course.
Solution:
Let x be the number of hours of review course and y be the average score on that exam.
30-hour review course average a score of 620 on that exam. So, the linear function passes through the point (30,620).
70-hour review course average a score of 749. So, the linear function passes through the point (70,749).
The linear function passes through the points (30,620) and (70,749). So, the linear equation is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-620=\dfrac{749-620}{70-30}(x-30)[/tex]
[tex]y-620=\dfrac{129}{40}(x-30)[/tex]
[tex]y-620=\dfrac{129}{40}(x)-\dfrac{129}{40}(30)[/tex]
[tex]y-620=\dfrac{129}{40}(x)-\dfrac{387}{4}[/tex]
Adding 620 on both sides, we get
[tex]y=\dfrac{129}{40}x-\dfrac{387}{4}+620[/tex]
[tex]y=\dfrac{129}{40}x+\dfrac{2480-387}{4}[/tex]
[tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex]
We need to find the y-value for [tex]x=57[/tex].
[tex]y=\dfrac{129}{40}(57)+\dfrac{2093}{4}[/tex]
[tex]y=183.825+523.25[/tex]
[tex]y=707.075[/tex]
[tex]y\approx 707.1[/tex]
Therefore, the required linear equation for the given situation is [tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex] and the average score for persons taking a 57-hour review course is 707.1.
please help me to solve this
Answer: x= 112°, y = 34°
Step-by-step explanation:
"Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle."
That means the angle adjacent to 56° = 90° - 56° = 34°"The angle formed at the centre of the circle by lines originating from two points on the circle's circumference is double the angle formed on the circumference of the circle by lines originating from the same points."
The angle adjacent to the left of ∠X = 2(34°) = 68°x = 180° - 68° = 112°
The angle adjacent to the right of ∠X = the angle adjacent to the right of ∠X = 68°y = 68 ÷ 2 = 34°
Circle theorems source: https://revisionmaths.com/gcse-maths-revision/shape-and-space/circle-theorems#:~:text=Angles%20formed%20by%20drawing%20lines%20from%20the%20ends,the%20point%20on%20the%20circumference%20our%20triangle%20touches.
find the value of the expressions 3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2
Hi!
[tex]3x^3-2y^3-6x^2y^2+xy=\\\\=3\cdot(\frac{2}{3})^3-2\cdot(\frac{1}{2})^3-6\cdot(\frac{2}{3})^2\cdot(\frac{1}{2})^2+\frac{2}{3}\cdot\frac{1}{2}=\\\\=3\cdot\frac{8}{27}-2\cdot\frac{1}{8}-6\cdot\frac{4}{9}\cdot\frac{1}{4}+\frac{1}{3}=\\\\=\frac{8}{9}-\frac{1}{4}-\frac{2}{3}+\frac{1}{3}=\frac{8}{9}-\frac{1}{4}-\frac{1}{3}=\frac{32}{36}-\frac{9}{36}-\frac{12}{36}=\boxed{\frac{11}{36}}[/tex]
On a piece of paper graph f(x) 2x(3)^x then determine which graph represents the function
Answer:
ok
What do you want me to answer ?
