The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased. The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.
The image of the dilated point will be:-
x : - 8 ⇒ 8 / 4 = 2
y : - 12 ⇒ 12 / 4 = 3
Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
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simplify the expression (5x^7)^2
Answer:
25x^14
Step-by-step explanation:
A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.
Answer:
The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.
Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.
You can see the image below, where i did a rough sketch of the problem.
in the image, you can see that the sides of this rectangle are the ones formed by the pairs:
(-4,3) and (-2, 8)
(-2, 8) and (2, 5)
(2,5 ) and (1, -7)
(1, - 7) and (-4, 3)
Now let's calculate the length of each side.
Remember that when we have two points (a, b) and (c, d) the distance is:
D = √( (a - c)^2 + (b - d)^2)
Now we need to calculate four distances:
(-4,3) and (-2, 8)
D1 = √( (-4 + 2)^2 + (3 - 8)^2) = 5.39
(-2, 8) and (2, 5)
D2 = √( (-2 - 2)^2 + (8 - 5)^2) = 5
(2,5 ) and (1, -7)
D3 = √( (2 - 1)^2 + (5 + 7)^2) = 12.04
(1, - 7) and (-4, 3)
D4 = √( (1 +4)^2 + (-7 -3)^2) = 11.18
Now we add those four distances to get the perimeter:
P = 5.39 + 5 + 12.04 + 11.18 = 33.61
And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:
p = 37
If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP
Answer:
Step-by-step explanation:
[tex]\large\underline{\bf\red{Solution:-}}[/tex]
Given : ∠1 + ∠2 = 90° ( complementary )
To Find : The value of x & the two angles .
And , m∠1 = ( 8x - 6 ) ° & m∠2 = ( 14x + 8 )° .
On adding the two Angles their sum will be 90 ° since they are two complementary angles .
⇒ ( 8x - 6 )° + ( 14x + 8 )° = 90° .
⇒ 22x + 2° = 90° .
⇒ 22x = (90 - 2)°
⇒ 22x = 88° .
⇒ x = 88°/22 .
⇒ x = 4° .
Hence the value of x is 4° .
So ,
First angle = 8x - 6 = 8×4-6=32-6=26°Second angle = 14x +8 = 14(4)+8 = 56+8 = 64° .Should it matter if areas far from large cities lose population?
Answer:
It should.
Step-by-step explanation:
If a nearby city is losing people then the large city should try to help.
I need help! PLEASE HELP!!
Answer:
Step-by-step explanation:
P = pizza slices
S= soda drinks
98 = 23*P + 31*S
Convert the number to scientific notations 89,970,303,001=
find a round to the nearest tenth
Answer:
Side C= 22
Side B = 12
Side A= 22.16627
i do think it is 22.16627
Step-by-step explanation:
hope this helps
9% of 828 I will give Brainliest to the first to answer right
Answer:
74.52
Step-by-step explanation:
PLEASE HELP, IM NOT SURE!!!
The scale on a map reads 2 inches = 5 miles. What is the actual distance
between two cities on the map that are 6.5 inches apart?*
O A. 2.6 miles
B. 13 miles
O C.32.5 miles
D. 16.25 miles
Answer:
Step-by-step explanation:
2 inches = 5 miles.
So if you divide both sides by 2,
1 inch = 2.5 miles
To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5
6.5 inches = 2.5 x 6.5 = 16.25 miles
In which interval is the median?
A sample of 50 students was surveyed about their time
spent in front of a screen (laptop, tablet, phone, etc.).
Each interval contains the left endpoint but not the
right endpoint.
[4,5)
[5,6)
[6,7)
[7,8)
Hours of Screen Time per Day
10
B
Frequency
2
6
8
10 12
Answer:
B is correct! Took the quiz 2021 <3. Yall b safe!
Step-by-step explanation:
When three points lie on the same line
Can someone please help me?
Answer:
C
Step-by-step explanation:
4a+10=180
4a=170
a=42.5
42.5*2=85
Answer: C. 85.0 degrees
Step-by-step explanation: First you find a using the equation they gave you. A=42.5. Then you plug it into the measures of the angles. But just by looking at the angles you can tell 2a would be the largest so you just plug a in there and you get your answer!
Irma is just learning to play the Happy Fairies video game. In the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens. Irma had a total of – 5 points. Then, her fairy house fell over in the wind and she got – 3 points. How many total points does Irma have now?
Answer: -8 points
Step-by-step explanation:
From the question, we are informed that Irma is just learning to play the Happy Fairies video game and that in the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens.
We are told that Irma had a total of –5 points, then, her fairy house fell over in the wind and she got –3 points.
Her total points now will be the addition of -5 and -3. This will be:
= -5 + (-3)
= -5 - 3
= -8
Note that minus multiplied by plus is minus.
Answer: -8
Step-by-step explanation:
True or false a function can sometimes be a relation ?
Answer:
Step-by-step explanation:
If a population consists of 540,000 people and a census is taken, how many
people are sampled?
A 5400
B. 540
C. 540,000
D. 54,000
The number of people who are sampled in the census is the whole population which is, 540,000.
Given that,
Size of the population = 540,000
We have to take a census regarding something which is not mentioned for this population.
In census, contrary to survey and other modes of taking information, the entire population will be sampled for the collection of the information rather than taking a sample of smaller size.
So there can't be a sample which contains less number of individuals or units for taking the information.
So the whole population of 540,000 people are included in the sample.
Hence the correct option is C, which is 540,000.
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Which property was used to simplify the expression?
mc005-1
distributive property
commutative property
associative property
inverse property
Answer: C is your asnwer
Step-by-step explanation:
Answer:
it is c
Step-by-step explanation:
What is the 6th term of the geometric progression
12.6.3, ... ?
Answer:
a₆ = [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
The n th term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus
a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]
Jayvon has 33.6 points in a competition. He loses 5.5 points,
Write and then evaluate an addition expression to determine Jayvon's current points.
Answer:
33.6+(-5.5)=28.1
Step-by-step explanation:
Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.
To evaluate the expression, we can do 33.6-5.5.
When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.
33.6-
5.5
Then you can subtract normally, getting 28.1
The polynomial function f(x)=x3−x2−4x+9 has one negative zero.
Between what integers does this negative zero occur?
Macie used 1/8 of a gram of honey to make 1/10 of a cake. How many grams of honey does it take to make one whole cake?
Answer:
10/8 or 5/4
Step-by-step explanation:
It is pretty easy. If you look at the problem it says "1/8 of a gram of honey to make 1/10 of a cake" That means that we should multiply 1/8 by 10 so it will become a whole cake.
1/8 * 10 = 10/8
If you want we can simplify it.
5/4
And that's your answer!
Dorothy is buying chips at the grocery store. She needs to decide between Erik´s chips that are $3.84 for a 12 oz. bag and Al´s chips for $3.57 for a 8.5 oz. bag. Which chips are the better buy and by how much?
Answer:
Erik's chips are a better buy by 10 cents per ounce
Step-by-step explanation:
Erik's chips cost by ounce: $0.32
Al's chips cost by ounce: $0.42
Sorry if this didn't help. This is my first answer
DUE SOON, Can someone help me with all these angles i dont understand them please and thanks
Answer:
m1=51
supplementary angles so 180-129=51
m2=34
all triangles add up to 180, we know the other 2 angles we can find m2: 51+95=146, then 180-146=34
m3=95
vertical angle
m4=38
again, all triangles add up to 180, and we know the other 2 angles so we can simply add those together and subtract them from 180: 95+47=142, then 180-142=38
m5=47
vertical angle
m6=76
must find angle 7 first(see below), now you have two angles of the triangle so we do the same thing as m4 and m2: 45+59=104, 180-104=76
m7=59
supplementary angle again so 180-121=59
Which graph below has an x-intercept of (6, 0) and a y-intercept of (0, 4)
Which infinite geometric series can you NOT find the sum?
A) 96, 24, 6, 1.5, 0.375,...
B) 81, 72.9, 65.61, 59.049,...
C) 127, 152.4, 182.88, 219.456,...
D) 154, 53.9, 18.865, 6.60275,...
Answer: C) 127, 152.4, 182.88, 219.456,...
Step-by-step explanation:
You can only find the sum of an infinite geometric sequence if it converges.
One criterion to see if the series converges is if:
aₙ < aₙ₋₁
This means that, as n increases, the value of the terms decreases.
This means that as n tends to infinity, aₙ tends to zero.
Then we only can find the sum of those series where the terms are decreasing.
in A, B and D the terms are decreasing, then we can find the sum of those 3 series.
Now in the case of C, the terms are increasing, then we can not find the sum of that series.
Question 40 of 47
What are the solutions to the quadratic equation below?
12x^2+4x-5=0
Determine the missing y value if the slope of a line is 4/3 and the line passes through the points (5,x) and (2,-3)
Answer:
x = -7
Step-by-step explanation:
Given parameters:
Slope of the line = [tex]\frac{4}{3}[/tex]
Coordinates = (5,x) and (2,-3)
Unknown:
X= ?
Solution:
To find slope, use the expression below;
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
y₂ = -3 y₁ = x
x₂ = 2 x₁ = 5
[tex]\frac{4}{3}[/tex] = [tex]\frac{-3 - x}{2 - 5}[/tex]
3(-3-x) = 4(-3)
-9 -3x = 12
-3x = 21
x = -7
Cox Media Corporation pays a 10 percent coupon rate on debentures that are due in 20 years. The current yield to maturity on bonds of similar risk is 8 percent. The bonds are currently callable at $1,150. The theoretical value of the bonds will be equal to the present value of the expected cash flow from the bonds. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Answer:
The correct answer will be "1197.93".
Step-by-step explanation:
According to the question:
Semi annual coupon:
= [tex]10 \ percent\times \frac{1000}{2}[/tex]
= [tex]50[/tex]
Number of periods:
= [tex]20\times 2[/tex]
= [tex]40[/tex]
Semi annual YTM:
= [tex]\frac{8}{2} \ percent[/tex]
= [tex]4 \ percent[/tex]
Now,
The market value of bond will be:
= PV of Coupons + PV of Par Value
On putting the values, we get
= [tex]50\times (\frac{(1-(1+4 \ percent)^{-40})}{4 \ percent} )+\frac{1000}{(1+4 \ percent)^{40}}[/tex]
= [tex]1197.93[/tex]
Note: percent = %
Complete the explanation of why it is possible to draw more than two different rectangles with an area of 100 square units, but it is not possible to draw more than two rectangles with an area of 15 square units. The lengths of the sides of the rectangle are whole numbers. 100 has factor pairs, so that many different rectangles can be drawn. 15 only has factor pairs, so only that many different rectangles can be drawn.
Answer:
100 has 5 factor pairs, so that many different rectangles can be drawn. 15 only has 2 factor pairs, so only that many different rectangles can be drawn.
Explanation:
there are 5 pairs of whole numbers that multiplied together will be 100:
100 x 1 = 10050 x 2 = 10025 x 4 = 10020 x 5 = 100 10 x 10 = 100while there are only 2 pairs of whole numbers that multiplied together will be 15:
15 x 1 = 153 x 5 = 15HELP!!! Please I need this soooooooooooo much
Answer:
I think the answer is A,C, and D. Sorry if I'm wrong, but if it's right pls mark brainliest.
1. If point (7.-2) is translated right 10 and down 4. What is the new coordinate for the point?
Answer:
The answer would be (17,-6). It's just add to the original coordinates.
Step-by-step explanation: