Answer:
x = 13/8
Step-by-step explanation:
(4x−1)(2)=11
Simplify both sides of the equation.
(4x−1)(2)=11
(4x)(2)+(−1)(2)=11 (Distribute)
8x+−2=118x+−2=11
8x−2=11
Add 2 to both sides.
8x−2+2=11+2
8x=13
Divide both sides by 8.
8x/8 = 13/8
which brings you to the answer of
x = 13/8
(Note:If this was a little confusing,feel free to ask me any questions revolving around this topic)
For a quadratic equation where: 2++=0
a
x
2
+
b
x
+
c
=
0
Where: 2−4<0
b
2
−
4
a
c
<
0
How many solutions do you have?
State whether the solutions are rational, irrational, or non-real. Explain why.
Answer:
Solutions will be unreal
Step-by-step explanation:
Given the quadratic equation ax^2+bx+c
The discriminant of the function determines its nature of its root
Discriminant D = b^2-4ac
If D <0, it shows that the roots of the equation will be a complex value. since D is less than 0 and the square root of a negative number does not exist. Hence, the solutions will be unreal
Based on a table provided in your reading material, determine the monthly
payment for a $100,000 loan if the interest rate is 6% and the term of the loan
15 years.
a.
b.
C.
d.
$600
$740
$844
$899
Answer:
C. $844
Step-by-step explanation:
Just look at the chart and it says $844
write the decimal 0.015 as a fraction (line over the 15, the 15 is repeating)
0.015 in fraction
=[tex]\frac{15}{1000}[/tex]
Simplified is
=[tex]\frac{3}{200}[/tex]
Answer:[tex]\frac{3}{200}[/tex]
A market research company conducted a survey of two groups of students from different schools. They found that students from school A spent an average of 90 minutes studying daily, while the students from school B spent an average of 75 minutes daily. They want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant. What sets shows the correct null hypothesis and alternative hypothesis?
Options:
1. Null Hypothesis: There is at least some difference in the mean times spent by the schools' students.
2. Alternative Hypothesis: The students from school B spend more time studying than the students from school A.
3. Null Hypothesis: School B students spend more time studying than School A.
4. Alternative Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.
Null Hypothesis: There is no difference in the mean times spent by the schools' students.
Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.
Null Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.
Alternative Hypothesis: There is no difference in the mean times spent by the schools' students
Answer:
Null Hypothesis: There is no difference in the mean times spent by the schools' students.
Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.
Step-by-step explanation:
The null hypothesis is usually represented as H0 or H1. For difference in mean between two samples, the null hypothesis is usually holds the notion that there is no difference in the mean of both samples and it is represented symbolically as:
H0 : μ1 - μ2 = 0 or H0 : μ1 = μ2
For the alternative hypothesis, it is usually the opposite of the null and while the Null holds that no difference exists, The alternative in this scenario will claim that both sample means are different or not equal. It is represented as :
H1 : μ1 ≠ μ2 or H1 : μ1 - μ2 ≠ 0
Answer: Null Hypothesis: There is no difference in the mean times spent by the schools' students.
Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.
Step-by-step explanation:
Find the gradient of the line segment between the points (-3,2) and (-2,5).
Evaluate the expression when n =4 n^2 - 5n+6
Answer:
2
Step-by-step explanation:
[tex]4^{2}[/tex] = 16
5 x 4 = 20
16 - 20 = -4
-4 + 6 = 2
give brainllest plz
A carton of milk in the shape of a rectangular prism has a leak. The dimensions of the carton are 8 inches by 4 inches by 3 inches. If the rate in which the milk is leaking is 6 cubic inches per minute, how long would it take for the milk carton to completely empty?
Volume of a rectangular prism = length x width x height.
Volume of milk carton = 8 x 4 x 3 = 96 cubic inches.
Divide the volume by the leak rate:
96/ 6 = 16
It will take 16 minutes.
Which number-line model represents the sum of 3/4 + (-1.75)?
Step-by-step explanation:
The fraction of -1.75 is -1 3/4
So, 3/4 + (-1 3/4) = 1.
Find the perimeter of the figure below.
Figure not drawn to scale
Answer:
a = 5
Step-by-step explanation:
I'm 100% sure good luck!!
The answer for the right triangle is 5
Check the pic
please explain
Answer:
Option C
Step-by-step explanation:
From the picture attached,
In ΔABC,
m∠BAC + y° = 180° [Linear pair of angles are supplementary]
m∠BAC = 180° - y°
m∠ABC = x° [Vertically opposite angles]
m∠ACB = z° [Vertically opposite angles]
By triangle sum theorem,
m∠BAC + m∠ABC + m∠ACB = 180°
(180 - y)° + x° + z° = 180°
x - y + z = 180 - 180
x - y + z = 0
Option C will be the answer.
PLEASEEEEEEE HELPPP I only have a bit of time for this :(
Answer:
1. 18.84 2. 172.2 3.219.8
Step-by-step explanation:
1. formula: v=(r*pi)*h
v=(6^2*3.14)*4
v=(36*3.14)*4
v=113.04*4
v=452.16
2. formula: v=(r*pi)*h
because you were given the diameter for number 2 you would have to do 10/2 to find the radius. so 5
now plug it into you're equation.
v=(5^2*3.14)*11
v=(25*3.14)*11
v=78.5*11
v=863.5
3. formula: v=(r*pi)*h
v=(7^2*3.14)*10
v=(49*3.14)*10
v=153.86*10
v=153.86
Select all equations that have infinitely many solutions.
2(x + 7) = 2x + 14
2(x + 7) = 2x + 14
t - 8 = t
t - 8 = t
4x - 8x = - 4x
4x - 8x = - 4x
2x + 3(x - 5) = 25
Answer: 4x-8x, t-8=t hope this helps!
Step-by-step explanation:
Write the equation of the line if the line passes through (4,4) and the y-intercept is -4.
•y = 2x - 4
•y = 2x - 2
•None of these answers are correct.
•y = 8x + 4
•y = 2x + 4
Answer:
y = 2*x - 4
Step-by-step explanation:
The general equation for a line is:
y = a*x + b
Where a is the slope and b is the y-intercept.
In this case, we know that the line passes through (4, 4) and the y-intercept is -4.
Then:
b = -4
So our line is something like:
y = a*x - 4
Now, we know that the line passes through (4, 4), which means that when x = 4, y = 4.
If we replace these values in the equation, we get:
4 = a*4 - 4
Now we can solve this for a.
4 = a*4 - 4
4 + 4 = a*4
8 = a*4
8/4 = a = 2
Then the equation for the line is:
y = 2*x - 4
PLS HELP Find the value of x. *
A and B are midpoints.
Answer:
ab=1/2*34 by mid point theorem
ab=17
so 3x-1=17
3x=17+1
3x=18
X=18/3
X=6
hope it helps
Dwayne solved 6 ÷ 1/5 by using related multiplaction expression what is a related multiplaction expresion for 6 ÷ 1/5
Answer:
30
Step-by-step explanation:
It is keep change flip
Answer:
30
Step-by-step explanation:
What point is closest to x axis
Answer:
7 is the smallest number making it the closest to the x- axis.
Step-by-step explanation:
Arsenic concentration in public drinking water supplies is potential health risk. An investigator collected data of arsenic concentration in parts per billion (ppb) from 10 metropolitan phoenix communities and 10 rural Arizona. Under = 5%, can the investigator conclude that the metropolitan phoenix water is different from the rural Arizona when it comes to the Arsenic concentration
Answer:
Hello your question has some missing data below is the missing data
answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )
Step-by-step explanation:
The hypothesis ;
H0 : μ1 = μ2
Ha : μ1 ≠ μ2
significance level ( ∝ ) = 0.05
calculate for degree of freedom ( df ) = 13.2 ( using excel function )
find the test statistic ( to ) = -2.77
attached below is the remaining part of the solution
A parallelogram has an area of 316.35 square inches and a base of 18.5 inches. What is the height
Answer:
17.1
Step-by-step explanation:
h=A/b
h= 316.35/18.5
h=17.1
38. The number of bottles a machine fills is proportional to the number of minutes the
machine operates. The machine fills 250 bottles every 20 minutes. Create a graph that
shows the number of bottles, y, the machine fills in x minutes.
Answer:
250/20 = 12.5/min
2 min = 25 bottles
The machine fills 25 bottles every two minutes. So you should make points (minutes, bottles) at (0,0), (2,25), (4,50), (6,75), (8,100), (10,125) and draw a line connecting them.
4. A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340 in Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?
O4x^2 + 367 = 20
O4x^2 + 72x = 20
O2x^2 + 72 = 20
O2x^2 + 36x = 20
The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.
What is Area ?Area is the space occupied by any surface ,It is measure in square units of length.
It is given that
A photographer needs a frame for a 16 x 20 inch picture
total area is 340 sq. in
width of the frame =?
Let width of the frame be x
The frame is in the shape of a Rectangle
Side of the frame = ( 16+2x) and (20 +2x)
Area of a frame = Total Area - Area of the picture
Total Area = ( 16+2x) (20 +2x)
( 16+2x) (20 +2x) = 340
320 + 72x +4x² = 340
72x +4x²= 20
4x² + 72x = 20
The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.
To know more about Area
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Find the volume of the object
Answer:
v=(6*9*12)
Step-by-step explanation:
Answer:
[tex]volume = \frac{1}{3} (length \times breadth \times height )\\ = (12 \times 9 \times 6) \frac{1}{3} [/tex]
Use cubic regression to find a function that fits the following points (1,4),(2,9),(3,34),(-2,-11)
Answer:
The cubic regression that fits the given set of points is [tex]y = 2\cdot x^{3}-2\cdot x^{2} -3\cdot x + 7[/tex].
Step-by-step explanation:
Let the cubic regression be represented by the following third order polynomial:
[tex]y = a\cdot x^{3}+b\cdot x^{2}+c\cdot x + d[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]a,b,c,d[/tex] - Coefficients.
By Algebra, we can determine analytically the values of all coefficients by knowing four distinct points. If we know that [tex](x_{1}, y_{1}) = (1,4)[/tex], [tex](x_{2},y_{2}) = (2,9)[/tex], [tex](x_{3}, y_{3}) = (3, 34)[/tex] and [tex](x_{4}, y_{4}) = (-2, -11)[/tex], then the system of linear equations is:
[tex]a+b+c+d = 4[/tex] (1)
[tex]8\cdot a + 4\cdot b + 2\cdot c + d = 9[/tex] (2)
[tex]27\cdot a + 9\cdot b + 3\cdot c + d = 34[/tex] (3)
[tex]-8\cdot a + 4\cdot b -2\cdot c + d = -11[/tex] (4)
The solution of the system of linear equations is: [tex]a = 2[/tex], [tex]b = -2[/tex], [tex]c = -3[/tex], [tex]d = 7[/tex]
The cubic regression that fits the given set of points is [tex]y = 2\cdot x^{3}-2\cdot x^{2} -3\cdot x + 7[/tex].
Find the equation of the line which passes through (-2,-2) and (2, -4).
O A. y = -1/2 x
O B. y=-x-3
OC. y=-3x-5
OD. y = -2x – 6
O E. y = {x-3
Find (g times f) (3)
f(x)=3x-2
g(x)=x^2
Which describes the slope of the line in the graph?
A) zero
B) positive
C) negative
D) undefined
PLEASE HELP ASAP. God bless you.
Which statement is true?
Every term in Pattern B is 5 times the corresponding term in Pattern A.
Every term in Pattern B is 10 times the corresponding term in Pattern A.
Every term in Pattern B is 8 more than the corresponding term in Pattern A.
Every term in Pattern B is 15 the corresponding term in Pattern A.
In the equation x +9x+ 20 = (x+ a)(x+b),b is an integer.
Find algebraically all possible values of b.
6 cm
4 cm
2 cm
3 cm
What is the area of the polygon?
Answer:
36 cm^2 is the area
Explanation -->
- first, separate the polygon into two separate ones, horizontally, to make two rectangles
- NOTE : Area = length x width
- 6 times 4 = 24
- 4 times 3 = 12 (self-explanatory, you get 4 by subtracting 6 and 2, as you can see)
- 24 + 12 = 36
-- You get 36 cm^2 --
Hope this helps!! Please mark as Brainliest!
If g(x) = 2 log (2x) what is g(3)
Answer: 1.55630250
Step-by-step explanation:
g(x) = 2 log (2x)
For g(3) put 3 in place of x
g(3)=2 log (2*3)
=2log(6)
g(3) =1.55630250
The catapults are 14.5 m, end text apart, as shown. From catapult A, there is a 96 degree angle between catapult B and the target. From catapult B, there is a 58°degree angle between catapult A and the target.
How far should catapult B throw the snowball to reach the target?
Do not round during your calculations. Round your final answer to the nearest tenth of a meter.
Thank you very much.
Answer:32.9 m
Step-by-step explanation: