Answer:
A dilation stretches or shrinks the original figure. A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch).
write 3.25 x 10^4 as a ordinary number
Answer:
32500
Step-by-step explanation:
[tex]3.25 \times {10}^{4} = 3.25 \times 10000 \\ = 32500[/tex]
Answer:
32500
Step-by-step explanation:
3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500
Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books. Which system of linear equations represents the situation?
x + y = 26 and x + y = 12
x + y = 26 and x – y = 12
x + y = 26 and –x + y = 12
x – y = 26 and x + y = 12
Answer:
x + y = 26 and x – y = 12
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just did it
I need more assistance :D Instructions: Using the image, find the distance between the points given on the graph.
Answer:
I usually explain even in the answer.
So we use som[tex]\sqrt{x}[/tex]ething called distance formula which is branched of Pythagorean theorem.
But we dont need to as it just makes it more complicated. We need to find split into 2 vectors, one vertical, and horizontal. The horizontal is 5 long.
The vertical is 1, you can find them by calculating how long is it and how tall.
Use pythogorean theorem from the formula and do 5^2+1^2 = c^2
25+1 = 26, so the answer is √26
I am pretty sure answer is right. Always take abolute value
√26
I’ll mark you brainliest!!!!! Which point is a solution to the inequality represented by this graph?
Answer:
A is a solution because it is in the shaded area.
Step-by-step explanation:
What is the midpoint of the segment shown below?
Answer:
C
Step-by-step explanation:
The length of the segment is 7
2-7/2 = -3/2
(1,-3/2)
i need help pls i would really appreciate it !!
Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 30 inches tall and has a square base with sides that each measure 3 inches. How much paper will she use?
Write the Equation for the line that goes through the points (30,75) and (60,50).
Answer:y=[tex]y=-\frac{5}{6} x+100[/tex]
Step-by-step explanation:
my answer was wrong and cannot be deleted :)
Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.
1 - 6i is a zero of f(x) = x4 - 2x3 + 38x2 - 2x + 37.
Answer:
[tex]1+6i[/tex]
Step-by-step explanation:
The expression [tex]1-6i[/tex] represents a complex number. Particularly, complex solutions can't happen in odd number, for example, the minimum complex solutions an expression can have is 2.
Additionally, complex solutions are related by conjugates, which means the second solution to this polynomial is [tex]1+6i[/tex], because is the conjugate of the given complex root.
Subtract -5/8 -(-1/4)
plzz answer now!
Answer: -5/18 - (-1/4) = -1/36
Step by step:
To subtract, find the LCD and then combine
So this is your answer,
-1/36
step 1
a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.
b) Your uncle Jim lives in England, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount of your monthly bill, to the nearest hundredth, if you lived in England.
c) If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem.
Answer:
a. 54
b. 9.35
Step-by-step explanation:
a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.
15.34/0.59 = 26
then add it to the number of free songs you downloaded
26 + 28 = 54
b. divide 15.34 by 1.64
15.34/1.64 = 9.35
for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.
The formulae for kinetic energy is E =-mv2.
Find the value of E when m= 900 and v=1.3,
Answer: ΔKE = 760.5 Joules
Step-by-step explanation:
Isnt the formula for ΔKE = 0.5m*v^2???
Im not going to use that formula you gave me, its wrong.
900/2 = 450
1.3^2 = 1.69
450 x 1.69 = 760.5 Jules
This is also the wrong subject btw
3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.
In the diagram, what is the measure of AngleWRS?
Answer:
25 degrees
Step-by-step explanation:
The angle WRS for the given triangle will be ∠WRS = 25°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given that the triangle has an angle as shown in the image
The angle TRW → 25x + 30 = 180 -5x
→ x = 5°
Now the angle WRS → 180 - ( 25x + 30)
∠WRS = 25° hence, the correct answer will be this.
For more about the angle
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Help please
What are the coordinates of the hole in the graph of the function?
f(x)=x2−3x−10/x−5
Enter your answer in the boxes.
Answer:
(5, 7)
Step-by-step explanation:
A hole is found in the graph of a rational function where numerator and denominator factors cancel each other.
The x-coordinate of the hole is the value of x that makes the factor zero. The y-coordinate of the hole is the value of the simplified function after the cancelled factors are removed. It is the limit of the function value as x approaches the hole location.
__
[tex]f(x)=\dfrac{x^2-3x-10}{x-5}=\dfrac{(x+2)(x-5)}{x-5}=x+2\qquad x\ne 5[/tex]
The hole is found at x = 5. The limit of the function value as x approaches 5 is 5+2 = 7. The coordinates of the hole are (5, 7).
What is the result when 4x^3+5x^2+13x+34x 3 +5x 2 +13x+3 is divided by 4x+14x+1?
Answer:
38^3+10^2+26x+3 over 18x+1
Step-by-step explanation:
Start by adding x's that are alike together.
4x^3+34x^3= 38^3
then do the same to the other x's
5x^2+5x^2= 10^2
Last x's
13x+13x=26x
For the final equation, you should have
38^3+10^2+26x+3
For the bottom equation, you do the same thing.
4x+14x= 18x
Final equation, really easy, is 18x+1
For the final answer you should have
38^3+10^2+26x+3 over 18x+1
Lmk if it helps!! :)
Please help! Correct answer only please! I need to finish this assignment by today.
One morning, boats from all along the Atlantic coast docked at a busy marina.
What is the experimental probability that the next boat to dock will be from Rhode Island?
Simplify your answer and write it as a fraction or whole number.
P(Rhode Island) =
Answer:
1/4
Step-by-step explanation:
there are 24 boats in total. out of those 24 boats, six are from rhode island. so 6/24 boats are from rhode island. simplified it will be 1/4 :)
Esme buys jackets for $500 each and prices them for $700 each. If the selling price is reduced by 20%, what's the profit percentage?
Please help!!! Imma mark you the brainliest!!
12%
The cost Esme increased was 200, but then she reduced 20%of 700, which gives 140 dollars reduced. So, we subtract 140 from 200, which is 60 to find the actual increase.
Now, we follow the simple rules of percentage change
Increase divided by original times 100.
So, 60 divided by 500( not 700) times 100 = 12
PLEASE HELP ASAP the question is in the picture
can you please rotate the picture
Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.
Answer:
5
Step-by-step explanation:
Slope equation is (y2-y1)/(x2-x1)
(-1-4)/(2-3)
-5/-1
5
I really need help please :(
Answer:
0≤y≤5
Step-by-step explanation:
The range is the values of the output, or in this case the y values
The y values go from 0 to 5
0≤y≤5
The answer is C.
You can see visually that the function's domain lies within range from -5 to 5 on the x axis.
Determine the value of y.
A. 90
B. 60
C. 180
D. 45
(i need this rq)
Answer:
D. 45°
Step-by-step explanation:
Since the lines are parallel, 2y°=90° If you divide both sides by 2, y°=45°
please help a struggling man
Answer:
x is all real numbers
Step-by-step explanation:
The domain is the input to the function. It is the values that x can take.
For this function, x can be any real value
In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? and also what is the area of the part left
Answer:
97.96 cm
596.14 cm²
Step-by-step explanation:
sides become:
30 cm ⇒ 16 cm25 cm ⇒ 11 cmand added corners:
4*2πr/4= 2πr = 2*3.14*7 cm= 43.96 cmthen perimeter is:
P= 2*16+2*11+43.96= 97.96 cmthe area left is:
A= 30*25- 4*1/4*3.14*7²= 596.14 cm²Which graph shows a system with no solutions?
Answer:
A Graph b
Step-by-step explanation:
Since the two lines are parellel, they will never intersect and there will be no solutions
the volume of a cone is 540pi. work out the height of the cone.
Answer:
I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.
Step-by-step explanation:
The formula for a cone is
[tex]\pi \times r {}^{2} \times \frac{h}{3} [/tex]
From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:
[tex]r {}^{2} \times \frac{h}{3} = 540[/tex]
Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:
[tex]r {}^{2} h = 1620[/tex]
Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:
[tex]r \times h = 40.249[/tex]
If I knew the radius. I could get the answer by dividing both sides by the radius.
Good luck!
Rebecca is given two triangles, ABC and DEF. at first glance, she thinks that the triangles are congruent. How can she use what she knows about rotations and triangle congruence to prove the triangle congruence?
Answer:
A
Step-by-step explanation:
If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40
If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.
We have given that,
Rebecca is given two triangles, ABC and DEF.
At first glance, she thinks that the triangles are congruent.
Therefore we have
What is the meaning of rotation?Rotation is circular movement.
A rotation is the movement of something through one complete circle.
The daily rotation of the earth upon its axis.
If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40.
Therefore, If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.
To learn more about the rotation visit:
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Which is a stretch of an exponential decay function?
f(x) = Four-fifths (five-fourths) Superscript x
f(x) = Four-fifths (four-fifths) Superscript x
f(x) = Five-fourths (four-fifths) Superscript x
f(x) = Five-fourths (five-fourths) Superscript x
Answer:
C
Step-by-step explanation:
The function [tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex] represents the stretch of an exponential decay function.
What is exponential decay function?The process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y = a(1-b)^{x}[/tex]
where,
y is the final amount,
a is the original amount,
(1 -b) is the decay factor,
and x is the amount of time that has passed.
For a exponential decay function (1-b) is always less than 1. If (1-b) < 1 it represents the exponential growth function.
And if a < 1, then it represents vertical compression and if a > 1, then it represents vertical stretch.
According to given question.
We have some functions in which we have to find the which one represents the decay function.
According to the function
[tex]f(x) = \frac{4}{5}(\frac{5}{4} )^{x} }[/tex]
For the decay function, the decay factor will always less than 1. In the above function the decay factor [tex]\frac{5}{4}[/tex] i.e. 1.25 is greater than 1.
Therefore, the above function doesn't represent decay function.
[tex]f(x) = \frac{4}{5}( \frac{4}{5} )^{x}[/tex]
Here, a < 1 i.e. [tex]\frac{4}{5}[/tex] is less than 1 so the given function is not a stretch of an exponential decay function.
[tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex]
Here, b < 1 so it represents the exponential decay function. Also a > 1.
Therefore, the given function is the stretch of an exponential decay function.
[tex]f(x) = \frac{5}{4} (\frac{5}{4}) ^{x}[/tex]
Here, a > 1 but b > 1. Therefore, the above function doesn't represent the exponential decay function. It represents the exponential growth function.
Find out more information about exponential decay function here:
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PLZZZ HEEELLP MEEE ASAP
Answer:
2x=125-10. Answer is 57.5
Step-by-step explanation:
It was asking for the length of the missing sides, and both of them are the same so its 2x= something. the other 2 sides are the same length (5) so that's where the 10 comes from. The 125 is the total perimeter. So, first you subtract 10 from 125 and you get 115. And then you divide 2 on both sides and you get x=57.5
I hope this helped :)
If this answer helped the most, give it the brainliest.
At the city museum, child admission is $5.20 and adult admission is $9.10 . On Wednesday, twice as many adult tickets as child tickets were sold, for a total sales of $631.80. How many child tickets were sold that day?
Answer:
54 adult tickets and 27 child ticket
54×9.10+5.20×27=631.80
419.4+104.4=631.80
631.80=631.80 ( so it's the answer)
a, b, c and d are positive integers, such that a+b+ ab = 76, c+d+ cd = 54. Find (a+b+c+d)·a·b·c·d.
Notice that
(1 + x)(1 + y) = 1 + x + y + x y
So we can add 1 to both sides of both equations, and we use the property above to get
a + b + a b = 76 ==> (1 + a)(1 + b) = 77
and
c + d + c d = 54 ==> (1 + c)(1 + d) = 55
Now, 77 = 7*11 and 55 = 5*11, so we get
a + 1 = 7 ==> a = 6
b + 1 = 11 ==> b = 10
(or the other way around, since the given relations are symmetric)
and
c + 1 = 5 ==> c = 4
d + 1 = 11 ==> d = 10
Now substitute these values into the desired quantity:
(a + b + c + d) a b c d = 72,000
