Answer:
1.8 pounds
Step-by-step explanation:
All you have to do is multiply 0.1 * 4, and then 0.1 * 14. Once you get the products, you can just add them together to get 1.8 pounds
The co ordinates of the point where lines ax = by and ay=6x intersects are
Answer: (0, 0)
Step-by-step explanation:
ax = by ay = 6x
[tex]\dfrac{ax}{b}=y\qquad \quad y=\dfrac{6x}{a}[/tex]
Use substitution:
[tex]\dfrac{ax}{b}=\dfrac{6x}{a}\\\\\\\text{Cross Multiply:}\\a^2x=6bx\\\\\\\text{Solve for x:}\\a^2x-6bx=0\\x(a^2-6b)=0\\x=\dfrac{0}{a^2-6b}\\\large\boxed{x=0}[/tex]
Substitute x = 0 to solve for y:
[tex]\dfrac{ax}{b}=y \\\\\dfrac{a(0)}{b}=y\\\\\large\boxed{0=y}[/tex]
Use technology to find the line of best fit for the following data. (−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6) When the equation of the line is in the form y=mx+b, what is the value of b?
Answer: Intercept (b) = - 2.2567
Step-by-step explanation:
(−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6)
Using the online regression calculator :
ŷ = -0.60205X - 2.2567
y is the predictor variable
X - the independent variable
0.60205 = slope or gradient
- 2.2567 = intercept (b) where the line best fit cross the y-axis.
The linear regression line is made using the least-squares method. The value of b is -2.2567.
How does linear regression work?Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least-squares method.
Given the points of the data(−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6).
Now, Since the question states about using the technology, therefore, if we use the online regression calculator:
ŷ = -0.60205X - 2.2567
y is the predictor variable
X - the independent variable
-0.60205 is the value of m which is the slope or gradient of the regression line, while -2.2567 is the value of the intercept of the regression line.
Hence, the value of b is -2.2567.
Learn more About Linear Regression Line:
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Theo made sails for a Model boat he cut along the diagonal of a rectangular piece of cloth to make two sales as shown below what was the area of the square feet of one to
Answer:
You need to give more information.
Step-by-step explanation:
If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be tru
Answer:
The leading coefficients of f(x) and g(x) are Opposites.Option A is the correct option.
Step-by-step explanation:
As the graph of ( f + g ) ( x ) is a line. So, ( f + g ) ( x ) is linear which means x² of f ( x ) and x² of g ( x ) get cancelled on adding . They must be equal and opposite in sign.
So, Option A is correct.
Hope this helps..
Best regards!!
Alexandria is practicing her long distance running. On day 0, she can run 2 miles without stopping. She wants to add 1/4 mile to her run each day. What is the slope for this linear relationship?
Answer:
1/4
Step-by-step explanation:
The slope of a graph is always the rate of change for every value of x, in this case, days. Since she is adding 1/4 of a mile to her run each day, this means that the slope of this linear relationship is 1/4.
She increases a full mile in 4 days, just a little note.
Fill out the following table. Do you see a pattern? Do you think this will always be true? Why or why not?
*Trolling answers will be flagged & reported, thank you.*
Answer:
Please see table completed attached
Yes, there are several patterns, since these two trigonometric functions are periodic with same periodicity, and also satisfy the Pythagorean identity for the same angle.
Step-by-step explanation:
Notice that we are asked about a table of trigonometric functions for the so called "special angles" which render values associated with half of the square root of a counting number between 0 and 4:
[tex]\frac{\sqrt{0} }{2}=0 \\\frac{\sqrt{1} }{2}=\frac{1}{2} \\\frac{\sqrt{2} }{2}\\ \frac{\sqrt{3} }{2}\\ \frac{\sqrt{4} }{2}=\frac{2}{2} =1[/tex]
These two trigonometric functions also satisfy the Pythagorean identity for any angle [tex]\theta[/tex] in the unit circle, so the equality to one will always be true:
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
They are also periodic functions of period [tex]2\,\pi[/tex], so their resulting values will be repeated with that periodicity.
How to do this question plz
Answer: x=10
Step-by-step explanation:
We can use the pythagorean theorem here: a^2 + b^2 = c^2, where c is the hypotenuse.
The values for c and one of the legs are already given, so we can plug them into the equation to find the length of the other leg x:
(square root of 200)^2 + x^2 = (square root of 300)^2
200 + x^2 = 300
x^2 = 100
x = 10
Answer:
Step-by-step explanation
square root 300 square - square root 200 square = x square
300 - 200 = x square
100 = x square
square root 100 = x
10= x
Un estanque tiene 13/2 litros de leche y se le agregan 87/10. ¿Cuánta leche quedó en el estanque? ¿Sí en el estanque caben 65/4 litros, cuántos litros más se pueden agregar?
GEOMETRY
1.) find the value of z and show work
a) Explain the difference in how an inscribed angle and central angle are draw
b) Explain the difference in how their measures compare to the subtended arc.
Answer:
z = 8.5
Step-by-step explanation:
Let O be the center of the circle, and A, B, C are three points on the circle.
Draw OA and OC are shown in the figure. To make the central angle.
In the figure the measure of arc AC is 118 degrees. measure of central angle and subtrahend arc is same. So, central angle is
[tex]\angle AOC=118^{\circ}[/tex]
Subtended angle on arc AC is
[tex]\angle ABC=(6z+8)^{\circ}[/tex]
According to central angle theorem of circle, central angle is twice of angle subtended by the arc.
[tex]\angle AOC=2\times \angle ABC[/tex]
[tex]118^{\circ}=2\times (6z+8)^{\circ}[/tex]
[tex]118=12z+16[/tex]
[tex]118-16=12z[/tex]
[tex]102=12z[/tex]
[tex]\dfrac{102}{12}=z[/tex]
[tex]8.5=z[/tex]
Therefore, the value of z is 8.5.
Which set of ordered pairs represents a function?
{(-3,4), (-7,2), (-7,-4),(-9, -5)}
{(-2,4), (0,5),(-9,9),(-9,7)}
{(-4,-6), (-7, -5),(-4,-7), (1,1)}
{(5,-2), (-8,-6),(4, -2), (-6,3)}
Answer:
The correct answer is D.
Step-by-step explanation:
A function is when an input value has only one output value.
It cannot be A, because -7 produces both 2 and -4.
It cannot be B, because -9 produces both 9 and 7.
It cannot be C, because -4 produces both -6 and -7.
Therefore, it has to be D.
Which data distribution would most likely have a mean and median that are not close in value? Bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 8. The second bar is 30. The third bar is 42. The fourth bar is 29. The fifth bar is 9. Bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 21. The second bar is 44. The third bar is 35. The fourth bar is 45. The fifth bar is 20. A bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 38. The second bar is 43. The third bar is 21. The fourth bar is 5. The fifth bar is 1.
Answer:
The third one.
Step-by-step explanation:
The last bar graph is skewed to the right, since the values of its fourth and fifth bars are way smaller than the values of its first, second, and third graphs. The drastically smaller values pull down the mean of the last bar graph, making it be more different from the median.
Comparatively, bar graphs one and two have approximately symmetrical distributions of numbers on both sides of the central bar. This means that their mean is balanced out on both sides and that neither of them is significantly skewed left or right.
A bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 38. The second bar is 43. The third bar is 21. The fourth bar is 5. The fifth bar is 1 is data distribution would most likely have a mean and median that are not close in value.
We have to determine, which data distribution would most likely have a mean and median that are not close in value.
According to the question,
The mean and the median both reflect the skewing, but the mean reflects it more.
The last bar graph is skewed to the right since the values of its fourth and fifth bars are way smaller than the values of its first, second, and third graphs.
The drastically smaller values pull down the mean of the last bar graph, making it be more different from the median.
The mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median.
Bar graphs one and two have approximately symmetrical distributions on both sides of the central bar.
This means that their mean is balanced out on both sides and that neither of them is significantly skewed left or right.
Hence, The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 38. The second bar is 43. The third bar is 21. The fourth bar is 5. The fifth bar is 1.
To know more about Probability click the link given below.
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What is the margin of error for 95% confidence for a sample of size 250 where p = 0.45?
A. 0.0541
B. 0.0775
C. 0.0706
D. 0.0617
Answer:
0.0617
Step-by-step explanation:
so the formula is 1.96[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
P is the proportion (.45) and n is the sample size (250). Inserting these into the problem, we get 1.96[tex]\sqrt{\frac{.45(1-.45)}{250} }[/tex]. Solving this out, you should solve the inside of the square root to get .00099. Take the square root of this, and multiply by 1.96 to get your answer!
This method applies to any problems with the same basic format. Good luck!
Write the natural numbers from 102 to 113. What fraction of them are prime numbers?
Answer:
1/3
Step-by-step explanation:
So there are 12 natural numbers in total: (113 - 102) + 1
Then there are the prime numbers: 103, 107, 109, and 113
so there are 4/12 prime numbers or 1/3
Answer:
1/3
Step-by-step explanation:
We can list all the numbers from 102 to 113:
To check if each number is prime, we simply have to check divisibility by 2, 3, 5, and 7 — if any of these numbers are not divisible by those, it will have no factors lower than its square root, and will therefore be prime.
102 - composite, multiple of 2
103 - prime
104 - composite, multiple of 2
105 - composite, multiple of 5
106 - composite, multiple of 2
107 - prime
108 - composite, multiple of 2
109 - prime
110 - composite, multiple of 2
111 - composite, multiple of 3
112 - composite, multiple of
113 - prime
4/12 or 1/3 of the numbers in this list are prime.
what is the slope of a line parallel to the line whose equation is 3x-3y=-45
Answer:
The slope is 1Step-by-step explanation:
To find the slope first write the equation in the form
y = mx + c
where m is the slope
c is the y intercept
3x - 3y = -45
3y = 3x + 45
Divide both sides by 3
y = 3/3x + 45/3
y = x + 15
From the equation the slope = 1
Parallel lines have equal slope
So
The line parallel to the above line is also
1
Hope this helps you
If f ( x) = 4x
2 and g( x) = 5x , what is
g( f (2x)) ?
Answer: 40x
First, let's find f(2x)
[tex]f(2x)=4(2x)=8x[/tex]
Using this, let's find g(f(2x)):
[tex]g(f(2x))=g(8x)=5(8x)=40x[/tex]
That's the answer. Let me know if you need any clarifications, thanks!
Answer:
80x²
Step-by-step explanation:
f(x) = 4x², g(x) = 5x
f(2x) = 4(2x)² = 16x²
g(f(2x)) = 5(16x²) = 80x²
Find the vertex form
Hi,
[tex]y=5x^{2} +12x-2\\y=x(5x+12)-\frac{46}{5} \\y=5(x+\frac{6}{5} )^{2}-\frac{46}{5} \\[/tex]
Have a good day.
Please i need help pic included
Answer:
They using an Algebra calculator on your chromebook :)
Answer:
Slope: -3
y-intercept: 5
x | y
0 | 5
5/3 | 0
Need help, please!! Don't anwser if you don't know it!!!!!!
Answer:
C
Step-by-step explanation:
On the horizontal axis, as the discount (%) increases by 1(%), on the vertical axis; the sales increase (%) increases by 3(%).
When the discount is 10%, the sales increase is 32%.
When the discount is 20%, the sales increase is 62%.
20 - 10 = 10
10 × 3 = 30
32 + 30 = 62 (correct)
A teacher is grading exit tickets on the train. It takes
him 42.5 seconds to grade each exit ticket, and he will
arrive at his destination in 5 minutes. The teacher knows
he will need to save 30 seconds to pack up his materials.
What is the maximum number of exit tickets that he can
grade?
A) 8
B) 7
C) 6
D) 5
Answer:
6 papers
Step-by-step explanation:
5 minutes = 5 * 60 = 300 seconds
He needs to save 30 seconds
300 - 30 = 270 seconds
270 seconds / 42.5 seconds per paper
6.352941176 papers
Rounding down since he want to completely grade the paper
6 papers
The hypotnuse of a right triangle is three times the length of its first leg. Theblength of the other leg is four feet. Find the lengths of the first leg and the hypotnduse and enter them in the below squares in this order. For non-integer answer(s), round your answer(s) to the nearest tenth.
Answer:
Length of first leg = 1.4feet
Hypotenuse = 4.2feet
Explanation:
Since we are dealing with a right angled triangle, we will apply the Pythagoras theorem to solve the question. According to Pythagoras theorem, the square of the hypotenuse is equal to the sum if the square of the other two legs.
Mathematically, a² = b²+c² where a is the hypotenuse and b, c are the other two legs.
From the question, since hypotenuse of a right triangle is three times the length of its first leg, then a = 3b.
Also the other leg is four feet i.e c= 4
Substituting this values into the Pythagoras formula;
a²=b²+c²
(3b)² = b²+4²
9b² = b²+16
9b²-b² = 16
8b² = 16
b² = 16/8
b² = 2
b = √2
b = 1.4
Since a = 3b
a = 3(1.4)
a = 4.2
Hence, the length of the first leg is 1.4feet and that of the hypotenuse is 4.2feet both to the nearest tenth.
Marta Fuentes had a balance of $1,200.50 in her checking account. The bank issued her a credit of
$505 and charged her $12 for new checks. Thee will be no outstanding checks or deposits. What
should her checkbook balance be?
Answer:
$683.50Step-by-step explanation:
Initial balance of Marta Fuentes = $1200.50
Charge made by her bank;
Credit of $505 and Charge on new checks is $12.
Total charge incurred = $505+$12
Total charge incurred = $517
Since there will be no outstanding checks or deposit, her checkbook balance will be the difference between the initial balance and amount charged by the bank.
Checkbook balance = $1200.50 - $517
Checkbook balance = $683.50
Hence her checkbook balance should be $683.50
Find m∠MON pls______
Answer:
57°
Step-by-step explanation:
∠LOM and ∠MON are complementary angles, so they add up to 90.
This means that:
3x-15 + 5x-23 = 90 =>
8x - 38 = 90 =>
x = 128/8 = 16
So m∠MON = 5*16 - 23 = 57°
Answer:
Step-by-step explanation:
(3x-15)=90
find x
x=35
input it into the equation
42+23 =m<mon
x=45 degrees
Simplify.
N4 x N7 over n5
Answer:
[tex]n^6[/tex].
Step-by-step explanation:
[tex]n^4 * \frac{n^7}{n^5}[/tex]
= [tex]n^4 * n^{7 - 5}[/tex]
= [tex]n^4 * n^2[/tex]
= [tex]n^{4 + 2}[/tex]
= [tex]n^6[/tex].
Hope this helps!
ASAP!!! PLEASE help me with this question!
which of the following is the range of the function based on the input-output table?
Answer:
Range { 1000,1100,1200,1300,1400,1500,1600}
Step-by-step explanation:
The range of the function is the output, so it would be the values of the pay per month
Range { 1000,1100,1200,1300,1400,1500,1600}
Answer:c
Step-by-step explanation:
[tex]( \frac{1 + i}{1 - i} ) {}^{2} [/tex]
Please tell me the answer i need help
Answer:
- 1
Step-by-step explanation:
Given
( [tex]\frac{1+i}{1-i}[/tex] )²
= [tex]\frac{(1+i)^2}{(1-i)^2}[/tex]
= [tex]\frac{(1+i)(1+i)}{(1-i)(1-i)}[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{1+2i+i^2}{1-2i+i^2}[/tex] ← simplify using i² = - 1
= [tex]\frac{1+2i-1}{1-2i-1}[/tex]
= [tex]\frac{2i}{-2i}[/tex]
= - 1
Xavier buys a two-quart bottle of juice for $5.12. What is the unit rate of the cost of the juice per fluid ounce?
Answer:
The cost is $.08 per ounce or 8 cents per ounce
Step-by-step explanation:
1 quart = 32 ounces
2 quarts = 64 pints
2 quarts costs 5.12
Take the cost and divide by the number of ounces
5.12 / 64
.08 per ounce
The cost is $.08 per ounce or 8 cents per ounce
=================================================
Explanation:
1 quart = 32 fluid ounces
2 quarts = 64 fluid ounces (multiply both sides by 2)
He paid 5.12 dollars for 64 fluid ounces, so the unit rate is 5.12/64 = 0.08 dollars per fluid ounce, or 8 cents per fluid ounce.
---------
We can think of it this way in terms of an equation
5.12 dollars = 64 fluid ounces
5.12/64 dollars = 64/64 fluid ounces ... divide both sides by 64
0.08 dollars = 1 fluid ounce
We divided both sides by 64 to turn "64 fluid ounces" into "1 fluid ounce", due to how the term "unit rate" is set up. The term "unit" means "one". Basically we're finding the cost per 1 unit, or per 1 fluid ounce.
How do I know the following equation is true:
Answer:
The equation is true
Step-by-step explanation:
The best way to check if this equate is true is to convert the pi in radians to degree and actually evaluate the trigonometric terms.
Mathematically we know that pi = 180 degrees
So pi/8 = 22.5
and pi/4 = 180/4 = 45
So let’s make our check.
Insert pi = 22.5 and pi = 45
So we have;
tan 22/5 = √(1-cos45)/(1+cos45)
Now let’s evaluate this using a calculator.
tan 22/5 = 0.414213562373
The term in the root; 0.171572875254
The square root of this number is 0.414213562373
This is exactly as what is obtained with the tan 22.5
So we conclude that what we have is true
PLEASE HELP I NEED HELP FAST ILL ALSO THANK AND MARK AS BRAINLIEST IF U ANSWER ALL OF THEM WITH AT LEAST MOST OF THEM CORRECT Find the original price if the price was: $3b after a 70% discount. What number : Increased by 75% is 35? Find the original price if the price was: $8a after a 60% increase?
Answer:
1) $10b
2) 20
3) $5a
Select the correct answer.
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
O A. y = 3x + 4
OB. y= 3x - 14
O C. y= 3x - 4
OD. y = 3x + 12
Answer:
A
Step-by-step explanation:
Put your information in the the point slope formula y-y1=m(x-x1)
This will give you y+5=3(x+3)
simplify
y+5=3x+9
Now subtract 5
y=3x+4