Answer:
10 cm
Step-by-step explanation:
if he knits 2cm per hour we can times it by 3 hours and get 6cm then he already had 4cm done so we will need to add that to it and get 10cm
Which action describes an aspect of technological design?
O building a telescope to look deeper into space
O creating a collection of mosquitoes that cause disease
o observing Doppler radar as a storm approaches
O designing an experiment to measure the heat of a volcano
Answer: A)
Step-by-step explanation: This is correct because a telescope is a piece of technology use to look further into space
linear combination
Answer:
linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants)
Step-by-step explanation:
find the value of x to the nearest tenth
Answer:
20.8
Step-by-step explanation:
Using Pythagorean theorem, you can find 1/2 of x.
12²= 6² +1/2x²
From this we find 1/2 x is ≈ 10.4
Then x itself would be 2 times that, resulting in 20.8, that is your answer
please help me with these, oh sweet jesus
Answer:
77. [tex]\cot^{6} x = \cot^{4} x \csc^{2}x - \cot^{4} x[/tex]Proved
78. [tex]\sec^{4}x \tan^{2} x = \sec^{2}x [\tan^{2}x + \tan^{4}x ][/tex] Proved
79. [tex]\cos^{3} x\sin^{2} x = [\sin^{2}x - \sin^{4}x] \cos x[/tex] Proved.
80. [tex]\sin^{4}x - \cos^{4}x = 1 - 2\cos^{2}x + 2 \cos^{4} x[/tex] Proved.
Step-by-step explanation:
77. Left hand side
= [tex]\cot^{6} x[/tex]
= [tex]\cot^{4} x \times \cot^{2} x[/tex]
= [tex]\cot^{4}x [\csc^{2}x - 1][/tex]
{Since we know, [tex]\csc^{2} x - \cot^{2}x = 1[/tex]}
= [tex]\cot^{4} x \csc^{2}x - \cot^{4} x[/tex]
= Right hand side (Proved)
78. Left hand side
= [tex]\sec^{4}x \tan^{2} x[/tex]
= [tex]\sec^{2} x [1 + \tan^{2}x] \tan^{2} x[/tex]
{Since [tex]\sec^{2}x - \tan^{2}x = 1[/tex]}
= [tex]\sec^{2}x [\tan^{2}x + \tan^{4}x ][/tex]
= Right hand side (Proved)
79. Left hand side
= [tex]\cos^{3} x\sin^{2} x[/tex]
= [tex]\cos x[1 - \sin^{2} x] \sin^{2} x[/tex]
{Since [tex]\sin^{2}x + \cos^{2} x = 1[/tex]}
= [tex][\sin^{2}x - \sin^{4}x] \cos x[/tex]
= Right hand side
80. Left hand side
= [tex]\sin^{4}x - \cos^{4}x[/tex]
= [tex][\sin^{2}x + \cos^{2}x]^{2} - 2\sin^{2} x \cos^{2}x[/tex]
{Since [tex]\sin^{2}x + \cos^{2} x = 1[/tex]}
= [tex]1 - 2\cos^{2} x[1 - \cos^{2}x ][/tex]
= [tex]1 - 2\cos^{2}x + 2 \cos^{4} x[/tex]
= Right hand side. (Proved)
A golf ball, thrown upwards, rises at a speed of v metres per second.
The ball reaches a maximum height of h metres.
h is proportional to the square of v.
When v = 20, h = 8
Work out the maximum height reached by the golf ball when v = 35
Answer:24.5
Step-by-step explanation:
Formula:
H=KV²
8=K×20²(400)
=8/400
=0.02
H=0.02×35²
=24.5
Answer:
The maximum height reached by the golf ball when v = 35 is 24.5 meters.
Step-by-step explanation:
Given : A golf ball, thrown upwards, rises at a speed of v metres per second. The ball reaches a maximum height of h metres. h is proportional to the square of v. When v = 20, h = 8.
To find : Work out the maximum height reached by the golf ball when v = 35 ?
Solution :
h is proportional to the square of v i.e. [tex]h\propto v^2[/tex]
[tex]h=kv^2[/tex]
Where, k is the constant of proportionality
When v = 20, h = 8,
[tex]8=k(20)^2[/tex]
[tex]8=400k[/tex]
[tex]k=\frac{8}{400}[/tex]
[tex]k=0.02[/tex]
The equation became [tex]h=0.02v^2[/tex].
Now, when v = 35 the value of h is
[tex]h=0.02(35)^2[/tex]
[tex]h=0.02\times 1225[/tex]
[tex]h=24.5[/tex]
Therefore, the maximum height reached by the golf ball when v = 35 is 24.5 meters.
-2.2-(-4x-2)=-(-x-3.1)
Answer: x=1.1
Step-by-step explanation:
-2.2 - (-4x - 2) = - (-x - 3.1)
-2.2 + 4x + 2 = x + 3.1
-0.2 + 4x = x + 3.1
+0.2 + 0.2
4x = x + 3.3
-x -x
3x = 3.3
/3 /3
x = 1.1
hope this helps!
Six friends went out to dinner. Each person ordered the same meal, which was $15.85. The friends left a combine tip of $14. What was the total of the bill and the tip?
Answer:
$77.40
Step-by-step explanation:
the sum of 2fifteens and 10 fifteens
Answer:4/5
Step-by-step explanation:
2/15 + 10/15=12/15=4/5
easy right?
Differentiate from first principle
1. y= x^2 + 3x
2. y= x^2 + 3x + 8
Answer:
Differentiation of both the term is [tex]2x+3[/tex]
Step-by-step explanation:
As we have to use first principle of derivatives lets recall the formula.
[tex]f(x)= \lim_{h\to 0}\frac{(x+h)-f(x)}{h}[/tex]
Solving our eqaution.
[tex]y=x^2+3x[/tex]
We will work with [tex]f(x+h)[/tex] then [tex]-f(x)[/tex] separately then put in the above formula.
1.
[tex]f(x+h)=(x+h)^2+3(x+h)[/tex]
[tex](x^2+h^2+2hx+3x+3h)[/tex]
Now [tex]-f(x)[/tex]
[tex]-f(x)=-x^2-3x[/tex]
Plugging the values of both.
[tex]f(x)= \lim_{h\to 0}\frac{(x+h)-f(x)}{h}[/tex]
[tex]f(x)= \lim_{h\to 0}\frac{(x^2+h^2+2hx+3h+3x)- x^2-3x}{h}=\frac{h^2+2hx+3h}{h}[/tex]
Taking [tex]h[/tex] as common.
[tex]f(x)= \lim_{h\to 0}\frac{h^2+2hx+3h}{h}=h+2x+3[/tex]
Putting [tex]h=0[/tex]
Then
[tex]f(x)=2x+3[/tex] is the final derivative.
This will be same for [tex]y= x^2 + 3x + 8[/tex] as we have to put [tex]8[/tex] only.
2.
[tex]f(x+h)=(x+h)^2+3(x+h)+8[/tex]
[tex](x^2+h^2+2hx+3x+3h)[/tex]
Then [tex]-f(x)=-x^2-3x-8[/tex]
Plugging the values of both.
[tex]f(x)= \lim_{h\to 0}\frac{(x+h)-f(x)}{h}[/tex]
[tex]f(x)= \lim_{h\to 0}\frac{(x^2+h^2+2hx+3h+3x+8)- x^2-3x-8}{h}=\frac{h^2+2hx+3h}{h}[/tex]
Taking [tex]h[/tex] as common.
[tex]f(x)= \lim_{h\to 0}\frac{h^2+2hx+3h}{h}=h+2x+3[/tex]
Putting [tex]h=0[/tex]
Then
[tex]f(x)=2x+3[/tex] is the final derivative.
So both the derivatives are same.
what is 2/9+1/3= i need it for for my homework
Answer:
5/9
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
Now we need to make our denominators match.
9 goes into 3 evenly, so we only need to multiply one term to get a common denominator.
Multiply 1 by 3, and get 3, then we multiply 3 by 3 and get 9.
Since our denominators match, we can add the numerators.
2 + 3 = 5
That gives us the sum, which is
5/9
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
No good. 7 is larger than 5. So we're done reducing.
There you have it! Here's the final answer to 2/9 + 1/3
Barry's house has 4 windows that he is planning to replace to improve energy efficiency. The width of each window is between 3.3 and 3.7 ft, and the length of each window is between 3.7 and 4.1 ft. Barry estimates the area of all 4 windows to be 62 sq ft. Is this a reasonable estimate?
A.
No, the estimate should be lower.
B.
No, the estimate should be higher.
C.
Yes, the estimate given is reasonable.
Answer:
B)No, the estimate should be higher
Answer:
no the estimate should be lower
Jackson has let out 50 meter of kite string when he observes that his kite is directly above a point on the ground 30 meters away from him, how high is the kite?
The height of the observer can be taken negligible in case of big measurements. The height of the kite from the ground is 40 meters approximately.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Referring to the figure attached below, we have the vertical distance of the kite from the ground as the length of the side BC.
(assume that the height of the observer flying kite is negligible and that kite's string is straight, and some more basic assumptions)
Using the Pythagoras theorem as the triangle ABC is a right angled triangle as vertical distance means line perpendicular to the ground, we get the length of the line segment BC as:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\|BC|^2 = |AC|^2 - |AB|^2\\\\|BC| = \sqrt{|AC|^2 - |AB|^2}\\[/tex]
(positive root since length is a non-negative quantity).
We have |AC| = length of the kite's string = 50 meters
|AB| = distance of the observer from the point directly above which the kite is flying = 30 meters
Thus, we get the height of the kite from the ground as:
[tex]|BC| = \sqrt{|AC|^2 - |AB|^2}\\|BC| = \sqrt{50^2 - 30^2} = \sqrt{1600} = 40\: \rm \text{(in meters)}[/tex]
Thus, the height of the kite from the ground is 40 meters approximately.
Learn more about Pythagoras theorem here:
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What is 4 divided by 3/5
4 divided by 3/5
pretend that 4 has a denominator which is 1
4/1 divided by 3/5
when dividing always flip over the second fraction
4/1*5/3
multiply the numerators together
4*5=20
multiply the denominators together
1*3=3
answer:
20/3 or 6 2/3
if I add .002 ounces of coloring to 3 lbs of product what is the percentage of coloring I used to product. I need to increase the amount of product but maintain the correct percentage of coloring. thank you
Answer:
0.0042%
Step-by-step explanation:
We know that 1 pound is equivalent to 16 ounces.
So, 3 pounds of a product is equivalent to (16 × 3) = 48 ounces of the product.
Now, it is given that I add 0.002 ounces of coloring to 3 lbs of product.
So, the required percentage of coloring I used to product is [tex]\frac{0.002 \times 100}{48 + 0.002} = 0.0042[/tex]% (Answer)
Whats the slope of (-5,9) (7,3)
Answer:
-1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-9)/(7-(-5))
m=-6/(7+5)
m=-6/12
m=-1/2
Eric jogged for 47 minutes, ending at 3:35 p.m. When did Eric start his jog?
A) 2:48 p.m.
B) 2:30 p.m.
C) 2:58 p.m.
D) 4:22 p.m.
plz help ASAP TwT
Answer:
im pretty sure its c
Step-by-step explanation:
It takes b minutes for Sylvia's bathtub to fill with water.
How many minutes will it take to fill 3 same-size bathtubs?
Write your answer as an expression.
Answer:
3b
Step-by-step explanation:
Since it takes b minutes to fill one bathtub, then it will take 3 times b minutes to fill all three bathtubs.
Answer:
3 times b
Step-by-step explanation:
Which of the following pairs are alternate interior angles?
A.6 and 7
B.2 and 7
C.5 and 2
D.5 and 4
Quadrilateral PQRS has vertices P(2, 10), Q(6, 8), R(6, 3), and K(2, 3).
What are the coordinates of S’ after a dilation of quadrilateral PQRS by a factor of 2 centered at the origin?
Answer:
[tex]S'(4,6)[/tex]
Step-by-step explanation:
Dilation rules :
For a pre-image point [tex](x,y)[/tex] which is dilated by a scalar factor of [tex]k[/tex] about the origin, the corresponding point of the image can be given by [tex](kx,ky)[/tex]
Pre-image point [tex](x,y)\rightarrow (kx,ky)[/tex] Image point
Given points of quadrilateral PQRS.
P(2,10)
Q(6,8)
R(6,3)
S(2,3)
The quadrilateral is dilated about the origin by a scalar factor of 2.
The co-ordinates of point S' after dilation can be given by:
[tex]S(2,3)\rightarrow S'((2\times2),(2\times3))[/tex]
Thus [tex]S'(4,6)[/tex] (Answer)
Answer:
As jitumahi456 states B).(4, 6) is the correct answer.
Step-by-step explanation:
I took the test on edg.
The sum of two numbers is 89. Three times the smaller
number is 71 more than the larger. Find the numbers.
Answer:
The numbers are 40 and 49
Step-by-step explanation:
Smaller number = x
Larger number = y
Let's write our system of equations:
x + y = 89
3x = y + 71
***************************
x = 89 - y
Substituting x in the 2nd equation and solving for y:
3 (89 - y) = y + 71
267 - 3y = y + 71
-3y - y = 71 - 267 (Like terms)
-4y = - 196
y = -196/-4
y = 49
Solving for x in the 1st equation:
x + y = 89
x + 49 = 89
x = 89 - 49
x = 40
The numbers are 40 and 49
Which of the following are true of linear functions? Select all that apply.
There is exactly one output for each input.
The graph of a linear function is a straight line.
Alinear function can cross the y-axis in two places
Alinear function has a constant rate of change.
Alinear function must cross the x-axis
Answer:
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function has a constant rate of change.
Step-by-step explanation:
Answer:
A,B,D
Step-by-step explanation:
i took the assignment and quiz on ed2020
The graph of a function, f(x), is plotted on the coordinate plane. Select the function that would move the graph of the function to the right of the coordinate plane.
a.f(x+6)
b.f(x)+4
c.f(x-3)+1
d.f(x)-3
Correct option:
c.f(x-3)+1
Explanation:From the options we have either vertical or horizontal shift. So, for this type of transformation we have:
For any real positive number [tex]c[/tex], vertical and horizontal shift in the graph [tex]y=f(x)[/tex] are expressed as follows:
[tex]\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)[/tex]
From these rules, we know that:
[tex]f(x-3)+1[/tex]
would move the graph of the function to the right of the coordinate plane because of [tex]f(x-3)[/tex]. In other words, the transformation is as follows:
[tex]f(x-3)+1[/tex] shifts the graph of [tex]f(x)[/tex] three units to the right and one unit up
Learn more:Shifting graphs: https://brainly.com/question/10010217
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Which of the following digits might composite numbers greater than 10 have in the ones place? Select all that apply.
1
2
3
4
The digits which a composite number greater than 10 might have include; 1, 2 ,3 and 4.
According to the question;
We are required to determine which of the digits a composite number greater than 10 might have in the ones place.The number 10 has two place values namely;
1 is in the tens place0 is in the ones place.In essence, any composite number greater than 10 can have either of 1, 2, 3 and 4 in the ones place.
Read more:
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The ratio of pears to green apples is 1:3 how many pears are there
Answer:
There is 1 pear for every green apple! So in this ratio there would be 1 pear!
Step-by-step explanation:
-viridiancat4, an 8th grader! :)
a.3/8
b.1/2
c.5/8
d.7/8
Answer:
3/8
Step-by-step explanation:
You'd first want to count all the triangles (possibilities) which is 8 total numbers
Then find the even numbers. There is 2, 2, and 4 which is a total of 3 even numbers
The fraction would be 3/8 and it can't be simplified any further
Answer:
3/8
Step-by-step explanation:
This is because, out of 8 results, only 3 of them are even numbers. That is the biggest chance you have at getting an even number.
Ashots height changed from 150 cm to 165 cm during the last year. By what percent did Ashot become taller?
150 cm ......... 100 %
165 cm ...............x %
x = 165×100/150 = 16500/150 = 110 %
Answer:
10%
Step-by-step explanation:
Subtract 150 from 165, which gives 15.
Then, do 15/150 = 0.1
Convert decimal to percent by moving the decimal point two spaces back. 0.1 becomes 10%.
Five times the difference of twice a number and seven is negative twenty-five. Find the number.
The number is 1
Step-by-step explanation:
Let x be the required number
Then according to given statement
Five times the difference of twice a number and seven is negative twenty-five.
[tex]5(2x-7) = -25[/tex]
Simplifying
[tex]10x-35 = -25\\[/tex]
Adding 35 on both sides
[tex]10x-35+35 = -25+35\\10x = 10[/tex]
Dividing both sides by 10
[tex]\frac{10x}{10} = \frac{10}{10}\\x = 1[/tex]
Verification:
[tex]5[2(1)-7] = -25\\5(2-7) = -25\\5(-5) = -25\\-25=-25[/tex]
Hence,
1 is the number
Keywords: Linear equation
Learn more about linear equation at:
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Four runners formed a relay team at Jan’s high school. The team completed the relay in 3.86 minutes. Each runner ran exactly the Same time. What was each runners time?
Answer: All four runners ran .96 seconds
Step-by-step explanation: The total time of the four runners, divided by the amount of runners.
3.86/4= .965
A bag contains 10 red, 9 white, 8 yellow and 2 blue marbles. How many marbles must be taken out from the bag so that there will be 4 marbles of the same colour?
Answer:25
Step-by-step explanation:
10 plus 9+4+2 will give you 21 and it will have 4 yellow ones left
Identify the transformation on the figure shown.
A) reflection over the x-axis
B) reflection over the y-axis
C) rotation about the x-axis
D) rotation about the y-axis
The transformation on the figure is a reflection over the y-axis.
How to identify the transformation?In the image, we can see that we have an original figure in the left side of the y-axis, and then it is reflected over it.
We can see that it is a reflection and not a translation, because the orientation of the figure changes (you can see that in both figures, the 90° is in the side farthest away from the axis).
So the correct option is B, reflection over the y-axis.
If you want to learn more about reflections, you can read:
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