Answer:
Based on the information in the problem statement, the function must pass through points (400 , 0), (800 , 1), and (1,200 , 1.585). Notice that the graph of function g(x) passes through these points.
Next, check the graph of f(x). Plot the function using the given equation to see which points it passes through.
The equation indeed starts at (400 , 0), but it doesn’t pass through the other two required points. So, the graph of g(x) fits the situation, but the equation for f(x)does not.
I also need help with 1,000,000 in exponential form , 10x10 , and 10,000 x10 please
Answer:
Step-by-step explanation:
To convert the value 1,000,000 to an exponential form means we are to write the value in multiples of 10. Breaking down the values in multiples of 10 will give;
1,000,000 = 10 * 10 * 10 * 10 * 10 * 10 (it is broken down into 6 places because the value contains 6 zeros)
Express in exponential form
1,000,000 = (10 * 10 * 10) * (10 * 10 * 10)
1,000,000 = (10³) * (10³)
1,000,000 = 10³⁺³
1,000,000 = 10⁶
Hence the value 1,000,000 in exponential form is expressed as 1 * 10⁶
For 10 * 10:
10 * 10 = 10¹ * 10¹
10 * 10 = 10¹⁺¹
10 * 10 = 10²
10 * 10 = 1 * 10²
The value of the expression 10*10 in exponential form is 1 * 10²
For 10,000 * 10:
10,000 * 10 = (10*10*10*10) * 10
10,000 * 10 = (10⁴) * 10¹
10,000 * 10 = 10⁴⁺¹
10,000 * 10 = 1 * 10⁵
Hence, The value of the expression 10000*10 in exponential form is 1 * 10⁵
find the equation of the line that is parallel to the given line and passes through the given point
[tex]x+4y=-6 ; (8, -3)[/tex]
Answer:
[tex]\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}[/tex]
[tex]\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}[/tex]
[tex]\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}[/tex]
[tex]x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1[/tex]
[tex]\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4[/tex]
Help me please I need this for my test tomorrow pleaseeeee!!!!!!
Answer:
st
Just substitute in the given values
Step-by-step explanation:
Hey, there!!
You can solve it simply,
1.
Given,
x= 1 , y=2 , z= 3
To solve:
[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]
[tex] = \frac{1}{ {1}^{2} } - \frac{1}{2 + 3} [/tex]
[tex] = 1 - \frac{1}{5} [/tex]
Taking LCM,
[tex] = \frac{5 - 1}{5} [/tex]
Therefore, the final answer is 4/5.
2.
Given,
x= 1 , y= -2, z= -1.
To solve:
[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]
[tex] = \frac{1}{ {1}^{2} } - \frac{1}{ - 2 - 1} [/tex]
Taking LCM,
[tex] = \frac{ - 3 - 1}{ - 3} [/tex]
[tex] = \frac{ - 4}{ - 3} [/tex]
Cancelling the minus sign,
[tex] \frac{4}{ 3} [/tex]
is the final answer.
3.
Given,
x= -3, y= -1, z= 4
To solve:
[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]
[tex] = \frac{1}{ {( - 3)}^{2} } - \frac{ - 3}{ - 1 + 4} [/tex]
[tex] = \frac{1}{9} - ( - 1)[/tex]
[tex] = \frac{1 + 9}{9} [/tex]
Therefore, the answer is 10/9.
4.
Given,
x= 1/2, y=1, z=1.
To solve:
[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]
[tex] = \frac{1}{ ( { \frac{1}{2}) }^{2} } - \frac{ \frac{1}{2} }{1 + 1} [/tex]
Simplifying them ,
[tex]1 \times \frac{4}{1} - \frac{1}{2} \times 2[/tex]
[tex] = 4 - 1[/tex]
Therefore, the answer is 3.
Hope it helps...
Find the equation for the line parallel to y=x+3 which has the same y intercept as 2x+3y=12
Answer:
[tex]y=x+4[/tex]
Step-by-step explanation:
Two parallel lines will have the same slope:
[tex]y=mx+b[/tex]
This is the y-intercept equation, where m is the slope and b is the y-intercept:
[tex]y=x+3[/tex]
The slope is x, or 1x, so the parallel line is also x.
Find the y-intercept:
You do this by taking the equation given and solving for y:
[tex]2x+3y=12[/tex]
Isolate the variable y. Subtract 2x from both sides:
[tex]2x-2x+3y=12-2x\\\\3y=12-2x[/tex]
Isolate y by dividing both sides by 3:
[tex]\frac{3y}{3}=\frac{12}{3}-\frac{2x}{3} \\\\y=4-\frac{2}{3}x[/tex]
Rearrange in slope-intercept form:
[tex]y=-\frac{2}{3}x+ 4[/tex]
The y-intercept of this equation is 4.
Now make the equation using the given information:
[tex]y=x+4[/tex]
:Done
plz helpaaaaaaaaaaaa
Answer:
Hey there!
1 4/9x+y=2
13x+9y=18
Let me know if this helps :)
The Answer is B.
because
1 4/9x+y=2
13x+9y=18
Hope this helps!
thw difference of two fractions is 4 2/7 one do the fraction is 2 3/5 find the other fraction
Answer:
241/35 = 6 31/35
Step-by-step explanation:
2 3/5 + 4 2/7 = 241/35
A fruit juice company includes 1.406 ounces of pineapple juice in a 6.45-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice
Answer: 5.044 0z is not pineapple juice
Step-by-step explanation:
total amount of mixed fruit juice: 6.45 oz (oz stands for ounce)
pineapple juice: 1.406 oz
total - pineapple juice=not pineapple juice
6.45 - 1.406=5.044 oz
Hope this helps!! :)
Please let me know if you have any questions
ten less than the prouduct of six and a number is 32. which equation would help you find the number
Answer:
6x-10 =32
Step-by-step explanation:
Let the number be x
the product of 6 and a number
6x
ten less than
6x-10
That is equal to 32
6x-10 =32
As a result of a transfer from one school to another, a boy has to walk one
and a half times the distance he was walking from home to school. If he
walks at the same pace, how long will he take to walk to school if he was
taking 43 minutes previously?
Answer:
Let the distance of school and house is x k m
Then time taken at speed 2.5 km\hr=
2.5
x
hr
And time taken at speed 4 km\hr=
4
x
hr
∴
2.5
x
−
4
x
=
60
12
⇒
10
4x−2.5x
=
5
1
⇒x=3 km
Then the distance of school and house is 3 k m
may this help you
trigonometry help ! tysm
Answer:
a = 50 degrees
b = 85 degrees
c = 95 degrees
d = 82 degrees
e = 125 degrees
f = 95 degrees
g = 110 degrees
h = 35 degrees
Step-by-step explanation:
1: Since the bottom angle is 124, then we see that a + 74 = 124 because they are corresponding angles.
Solve for a, and we get a = 50 degrees.
2. b is equal to 180 - 95 which is 85 degrees, as it is supplementary with the alternate exterior angle of 95 degrees.
c is equal to 180 - 85 which is 95 degrees, as it is supplementary with the alternate exterior angle of 85 degrees.
3. d is 82 degrees, as it is an alternate interior angle with the 82.
e is 125 degrees, as it is corresponding with the 125.
4. If we extend the left slanted line, we see that the exterior angle of the bottom left angle of the triangle is 130 degrees. We know that 130 = 45 + 180 - f, so we solve for f and get 95 degrees.
5. g = 180 - 70 = 110 degrees, as it is supplementary with the alternate exterior of the corresponding angle of 70.
6. We know that the top right angle of the 120 degrees and the 35 degrees triangle is 25 degrees. Then, the bottom left angle is also 25 degrees as they are alternate interior angles. The other unknown angle in the 25 degrees and h triangle is supplementary to 60, so it is 120 degrees.
We know that 25 + h + 120 has to be 180, so we can solve for h and get 35 degrees.
1. 2 |-9|
2. 4 |-4|
3. 1 |1|
4. 11 |11|
5. 9 |-2|
The absolute value is the distance the number is from zero. For example, the absolute value of -4 is 4 and the absolute value of 4 is 4. Also |-24| is 24.
The absolute value of -9 is 9. 2 times 9 is 18.
The absolute value of -4 is 4. 4 times 4 is 16.
The absolute value of 1 is 1. 1 times 1 is 1.
The absolute value of 1 is 11. 11 times 11 is 121.
The absolute value of -2 is 2. 9 times 2 is 18.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The opposite of a number is the difference it is from zero but on the other side (opposite sign). For example, the opposite of -5 is 5, and the opposite of 2 is -2.
11 is opposite of -11.
-8 is opposite of 8.
31 is opposite of -31.
-1 is opposite of 1.
-17 is opposite of 17.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
♡ Hope this helped! ♡
❀ 0ranges ❀
In a hypothesis test, standard error measures ____.
a. variability for the sample data
b. the amount of difference expected just by chance
c. the size of the treatment effect
d. the likelihood of a Type I or Type II error
Answer:
The correct answer is:
the amount of difference expected just by chance (b)
Step-by-step explanation:
Standard error in hypothesis testing is a measure of how accurately a sample distribution represents a distribution by using standard deviation. For example in a population, the sample mean deviates from the actual mean, the mean deviation is the standard error of the mean, showing the amount of difference between the sample mean and the actual mean, occurring just by chance. Mathematically standard error is represented as:
standard error = (mean deviation) ÷ √(sample size).
standard error is inversely proportional to sample size. The larger the sample size, the smaller the standard error, and vice versa.
-8
-7
-6
-5
-4
+
0 1 2
-3
-2
-8
-7
-6
-5
-4
-3
-2
-1
0 1 2
-8 7
-6 -5
-4
-3
.-2
-1
0 1
2
-8
+
2
-7
-6
-3
-2
-1
0
1
Compare and contrast the four number lines. Decide which number line doesn't belong. Justify your reasoning.
Answer:
take your pick. Each has its own reason.
Step-by-step explanation:
As with a lot of "doesn't belong" problems, the one that is different depends on your criteria. In the attached figure, each one "doesn't belong" for a different reason. Those reasons are listed below each number line.
__
I might choose the lower left: "addition, not subtraction", as it is the only one with arrows in the same direction. That makes its difference from the others more obvious, perhaps.
Find all positive integers a,b,c with the property a+b+c=abc
Answer:
you need one of them to be 0 and the other 2 the negative of each other.
or they must have the same sign and be 1,2,3 (or -1, -2 and -3)
sequence not effect the answer
Step-by-step explanation:
If Fx) = x - 7 and G(x) = x^3, what is G(F(x))?
A. x^2(x-7)
B. x^2 + x-7
C. x^3.7
D. (x-7)^3
Answer:
[tex]\huge\boxed{Option \ D:f(g(x)) = (x-7)^3}[/tex]
Step-by-step explanation:
[tex]f(x) = x -1\\g(x) = x^3[/tex]
We've to find [tex]f(g(x))[/tex]
Which will be [tex]f(x-7)[/tex]
Putting x in f(x) as x-7
So,
[tex]f(g(x)) = (x-7)^3[/tex]
Name two pairs of opposite rays, please.
Answer:
Ray DE and Ray AE
Step-by-step explanation:
Ray AE and ray CE are the required pair of opposite rays. Option A is correct.
Given that,
A figure has shown, Four rays have been emerging out from a single point E. It is to be determined that which pair of rays are pair of opposite rays.
What is a Line?
A line can be defined by the shortest distance between two points is called a line.
Here, as shown in the figure,
Four trays are emerging out from point E namely, AE, BE, CE, and DE. Rays AE and CE or Ray DE and BE both are pairs of opposite rays
Thus, ray AE and ray CE are the required pair of opposite rays. Option A is correct.
Learn more about lines here:
brainly.com/question/2696693
#SPJ2
Find the value for “x”; 2 – 7x = -19
Step-by-step explanation:
2+19=7x
21=7x
21÷7=7x÷7
3=x
..
3(-n+4)+5n=2n
a. n=3
b. no solution
c. infinitely many solutions
Answer:
no solutions
Step-by-step explanation:
3(-n+4)+5n=2n
Distribute
-3n +12 +5n = 2n
2n+12 = 2n
Subtract 2n from each side
12 = 0
This is never true so there are no solutions
Answer:
B. No Solution
Step-by-step explanation:
First, you'll want to distribute 3 through the parentheses (in other words, multiple the parentheses).
[tex]-3n + 12 + 5n = 2n[/tex]
Next, you collect the like terms, in this case, the like terms are -3n and 5n.
[tex]2n + 12 = 2n[/tex]
Finally, you will cancel equal terms on both sides of the equation (which is the 2n).
[tex]12 = 0[/tex]
This makes the statement false for any value of n. Meaning that your answer is B, no solution.
HELP ASAP!!!
Which of the numbers below could be terms in the sequence an = 7n+4?
Check all that apply.
A. 36
B. 24
C. 46
D. 32
Answer:
C. 46, D. 32
Step-by-step explanation:
Each term is obtained by adding 4 to a multiple of 7.
Subtract 4 from each choice:
A. 32
B. 20
C. 42
D. 28
Only 42 and 28 are multiples of 7, so the answer is:
C. 46, D. 32
Answer: OPTION C AND D
Step-by-step explanation:
Plug all the numbers given into the expression of sequence in order to find out which number fits in the sequence.
A. 36
an=7n+4
36=7n+4
32=7n
n=32/7
INCORRECT. It is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)
B. 24
an=7n+4
24=7n+4
20=7n
n=20/7
INCORRECT. Same as the reason above, it is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)
C. 46
an=7n+4
46=7n+4
42=7n
n=6
CORRECT. It is a integer.
D. 32
an=7n+4
32=7n+4
28=7n
n=4
CORRECT. It is a integer.
Hope this helps!! :)
Please let me know if you have any question
Can someone please help me with this and give an explenation please
Answer: show your work and give a clear and understanding explination use a caculator and ask for extra credit work and extra help
Step-by-step explanation:
* make sure to give a word for word explinations and make sure your answer is clear and understanding. If you arent sure wether your answer is correct or not ask for extra credit work and show your work. Try using a caulator
Find the midpoint of the segment with the given endpoints.
(-4,2) and (10,10)
The midpoint is_
Which statement is true about f(x) = -6|x+5| - 2?
Answer:
a :)
Step-by-step explanation:
Find a three-digit palindromic number which is exactly 19 times the sum of its digits
the number that can exactly 19 is 38
Can someone please help on both questions!! Thank you
Question 7
Answer: A) 15---------------------
Work Shown:
angle B = angle D = 56
angle C = angle F = 64
The missing angle A adds with B and C to get 180
A+B+C = 180
A = 180-B-C
A = 180-56-64
A = 60
Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.
angle E = angle A
3x+15 = 60
3x = 60-15
3x = 45
x = 45/3
x = 15
Side note: I'm not sure why your teacher marked angle E as the same as angles C and F. They should have used another angle marker to indicate that angles A and E are the same.
================================================
Question 8
Answer: B) 17------------------------------
Work Shown:
Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.
Therefore, we have these three pairings
angle A = angle Eangle B = angle Dangle C = angle FWe'll first need angle C
A+B+C = 180
C = 180-A-B
C = 180-42-108
C = 30
which we'll then solve for x
angle F = angle C
4x-4 = 30
4x = 30+4
4x = 34
x = 34/4
x = 8.5
which doubles to
2x = 2*8.5
2x = 17
Evaluate a^2b^2c^2 for a=2, b=3, and c=4
Answer:
576
Step-by-step explanation:
a²b²c² = 2² * 3² * 4² = 4 * 9 * 16 = 576
Please help ASAP it is due today
Answer:
Step-by-step explanation:
What we know
total sum of angles = 540 deg
3/2 b cam also be written as 1.5b degrees.
So 1.5b + (b+45) + (2b - 90) +90 = 540
Step 1 -- get rid of parenthesis
1.5b + b + 45 +2b -90 +90 =540
Step 2 -- combine the like expressions
4.5b + 45 = 540
Step 3 -- subtract 45 from both the sides
4.5b = 495
Step 4 -- divide 4.5 from both the sides
b = 110 ----- not the right answer
Thats not right okay im sorry
but i guess if it is not 110 it should be 100, 90 etc.
90 = b is correct
the perimeter of a right angled triangle is 30cm and its area is 30cm square then find the side of triangle
Perimeter = a + b + c = 30
Area = 1/2 x a x b = 30
Multiples of 30: 2, 3, 5, 6, 10, 12, 15
For perimeter c = 30- (a+b)
C= sqrt( a^2 + b^2)
Using the possible combinations of the above:
5 and 12:
C = sqrt(5^2 + 12^2) = 13
5 + 12 + 13 = 30 for the perimeter
Area = 1/2 x 5 x 12 = 30
The sides are 5, 12 and 13 cm
Answer:
12 cm, 5 cm, 13 cm
Step-by-step explanation:
Sides of triangle:
a, b, cPerimeter:
P= a+b+c = 30Area:
1/2ab = 30 ⇒ ab = 60As per Pythagorean theorem, side c= √(a²+b²):
a+b+c = 30a+b+ √(a²+b²) = 30a+b - 30= - √(a²+b²)(a+b - 30)²= (- √(a²+b²))²a²+b²+900 + 2ab - 60a - 60b = a²+b²Considering ab = 60
900+120=60a+60b ⇒ a+b = 17Again using ab= 60 to find out sides:
ab=60a(17-a)= 6017a - a² -60 = 0a² -17 a +60= 0Solving the quadratic equation, its positive root is:
a= 12Then we get the rest:
b = 17 - 12= 5c= 30 -17 = 13Given point (-6, -3) and a slope of 4, write an equation in point-slope form. A. y - 3 = 4(x - 6) B. y + 3 = 4(x - 6) C. y + 3 = 4(x + 6) D. y - 3 = 4(x + 6)
Answer:
C
Step-by-step explanation:
So we have the point (-6,-3) and a slope of 4.
And we want to write this into point-slope form.
The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Therefore, substitute in 4 for m and let (-6,-3) be x₁ and y₁, respectively.
Therefore:
[tex]y-(-3)=4(x-(-6))[/tex]
Two negatives make a positive:
[tex]y+3=4(x+6)[/tex]
The answer is C
Simplify the following expressions.
1. 3( x - 5 ) + 2x - 3
2. 4a - 3 ( 4 - a )
3. -2 ( b - 6 ) + 2
4. 6 - 3 ( 3 + x )
Step-by-step explanation:
1. 3( x - 5 ) + 2x - 3
= 3x - 15 + 2x - 3
= 5x - 18
2. 4a - 3 ( 4 - a )
= 4a - 12 + a
= 5a - 12
3. -2 ( b - 6 ) + 2
= -2b + 12 + 2
= -2b + 14
= 14 - 2b
4. 6 - 3 ( 3 + x )
= 6 - 9 - 3x
= -3 - 3x
Which statement about the number of earthquakes the
states had for the given time span is true?
State A had approximately 1,533 more earthquakes than
State B.
State B had approximately 1,533 more earthquakes than
State A
State A had approximately 3,362 more earthquakes than
State B.
State B had approximately 3,362 more earthquakes than
State A.
Answer:
State A had approximately 1,533 more earthquakes than State B.
Step-by-step explanation:
Earthquake: The term "earthquake" is determined as the surface shaking of the uppermost layer of the earth that often results from the absurd release of specific energy in the "earth's lithosphere" that tends to create "seismic waves". However, the intensity of the earthquake varies time to time and the weak tremor is rarely being noticed as compared to the higher ones.
Answer:
C
Step-by-step explanation: i took the test and got a 100%