Answer:
the dilated coordinates are (12, 9), (6, 9), (12, -6), (6, -6)
Step-by-step explanation:
The dilation factor multiplies each coordinate value when the center is the origin.
__
(8, 6) ⇒ 1.5(8, 6) = (12, 9)
(4, 6) ⇒ 1.5(4, 6) = (6, 9)
(8, -4) ⇒ 1.5(8, -4) = (12, -6)
(4, -4) ⇒ 1.5(4, -4) = (6, -6)
Jasmine decides to put $100 in a savings account each month. The account pays 3% annual interest, compounded monthly. How much money, S, will Jasmine have after one year?
The total amount accrued, principal plus interest, with compound interest on a principal of $100.00 at a rate of 3% per year compounded 12 times per year over 1 years is $103.04.
Compound InterestGiven data
Principal = $100Rate = 3%Time = 1 yearA = P + I where
P (principal) = $100.00
I (interest) = $3.04
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 100.00(1 + 0.03/12)^(12)(1)
A = 100.00(1 + 0.0025)^(12)
A = $103.04
Learn more about compound interest here:
https://brainly.com/question/24924853
Determine if true:
8^3 divided by 2=250
Answer:
False
Step-by-step explanation:
8^3=512
512 divded by 2=256
256=250
This is false.
Hence this equation is false
Answer:
False
Step-by-step explanation:
Given the following question:
[tex]8^3[/tex]
To find if the solution is true, we must first convert the exponent into a whole number by multiplying three by itself, three times since three is the exponent.
[tex]8^3[/tex]
[tex]8^3=8\times8\times8[/tex]
[tex]8\times8=64[/tex]
[tex]64\times8=512[/tex]
Now divide:
[tex]512[/tex]
[tex]512\div2=256[/tex]
[tex]=256[/tex]
Which means the following statement 8^3 divided by 2 = 250 is indeed "false."
Hope this helps.
46 is what percent of 69?
Answer:
66.67
Step-by-step explanation:
So if 69 is 100 percentage then we need to know; x. so x% is 46 then you turn that information into this equation. 100%/x%=69/49 so then you can solve that x is 66.67. So It is 66.67%
what is the equation of -7 increased by a number n is 12
(Help) Find the measure of the missing angle
Solution:
Let the missing angle be x.
It should be noted:
The two diagonals form four isosceles triangles. (ΔBOC, ΔCOD, ΔDOA, and ΔAOB)∠DOA = ∠BOC = 44 (Vertically opposite angles)Interior angles of a triangle sum up to 180°This means that...
44 + x + x = 180Combine like terms.
44 + 2x = 180Subtract 44 both sides.
2x = 180 - 44Simplify the RHS
2x = 136Divide 2 both sides.
2x/2 = 136/2=> x = 136/2 = 68°Answer:
68°
Step-by-step explanation:
Remember :
The diagonals of a rectangle are equalHence, they will have equal angles on the corners of the shapeSolving :
∠DOA = ∠COB = 44° (Vertically Opposite Angles)Now, consider ΔDOA∠ODA = ∠OAD (Because angles opposing equal side lengths are equal)∠ODA + ∠OAD + ∠DOA = 180° (Angle Sum Property)2∠OAD + ∠DOA = 180°2∠OAD + 44° = 180°2∠OAD = 136°∠OAD = 68° (missing angle value)Which is the other endpoint of a line segment with one endpoint at (1, 3) and midpoint at (3,5)?
A. (2,4)
B. (4,4)
C. (5,7)
D. (4,8)
E. (8.16)
Answer:
C. (5,7)
Step-by-step explanation:
One endpoint at 1,3 and the midpoint at 3,5Your answer would be to as two to each the x and y of the midpoint. So the answer would be 5,7.
How do I do this equation
How many 1/4 inches are in 2 inches? Draw a diagram to demonstrate your answer.
Answer:
8
Multiply 0.25 by 8 ⇒ 2 [tex]in.[/tex]
I hope this helps!
I need help with this
Answer:
SAS I believe or CPCTC depending if that is what you are working on.
Step-by-step explanation:
What is the median of the following data set?
12, 25, 9, 2, 0, 8
Answer:
9
Step-by-step explanation:
In a class of 50 high school juniors 32 students either play a sport or are in the marching band.
There are 22 juniors who play a sport and 16 who are in the marching band. What is the
probability that a randomly selected junior plays a sport and is in the marching band?
12%
22 + 16 = 38
38 - 32 = 6
6 / 50 = 12 / 100 = 12%
a bag contains blue and red cubes 3/11 of the cubes are blue what is the ratio of blue to yellow??
Answer:
um. there are no yellow.
Step-by-step explanation:
What is the value of X in the triangle
Answer:
x = 10√2
Step-by-step explanation:
Value Of X:
x² = 10² + 10²x² = 100 + 100x² = 200x = √200x = √100 × √2x = 10√2the value of x is 10√2 (A)
here a subtraction problem that has been solved incorrectly for 44-16=28 choose the addition sentence that check this subtraction problem the choices are 28+16=32 28+44=72 28+16=44 which one is correct
Answer:
28+16=44
Step-by-step explanation:
point of correction it has been solved correctly
when subtracting 44 - 16 it gives you 28
=> 44 - 16
=> 28
SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY
you will minus 28 from one of the numbers before the equal sign
the correct option is 28 + 16 equals to 44
=> 28+16=44
17. Find the value of y for which GHIJ must be a parallelogram.
Answer:
3/4
Step-by-step explanation:
Opposite sides of a parallelogram are congruent
6y +3 = 10y
3 = 4y
[tex]\frac{3}{4}[/tex] = y
What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the box.
Answer:
6.2
Step-by-step explanation:
pretty sure this is the answer-- ^^
The mean of the given data set {6, 11, 5, 2, 7} is 6.2.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
We are given that;
Data set= {6, 11, 5, 2, 7}
Now,
To find the mean of a data set, you need to add up all the values and divide by the number of values.
In this case, there are 5 values in the data set: 6, 11, 5, 2 and 7.
To find the mean, follow these steps:
Add up all the values: 6 + 11 + 5 + 2 + 7 = 31
Divide by the number of values: 31 / 5 = 6.2
Therefore, by the mean the answer will be 6.2.
Learn more about mean and median;
https://brainly.com/question/17060266
#SPJ3
Alan, Betty, and Carol invested in a corporation in the ratio of 3:4:5 respectively. If they divide the profit of $26,100 proportionally to their investment, how much will each receive?
Answer:
Alan = $6525
Betty = $8700
Carol = $10875
Step-by-step explanation:
Ratio of Investment is:
Alan: Betty: Carol = 3:4:5
Total profit will be divided into 12 portions (3+4+5=12)
Total profit = $26,100
One portion = $26,100/12 = $2175
Alan gets = 2175*3= 6525
Betty gets =2175*4= 8700
Carol gets = 2175*5 = 10875
Make x the subject of…
Answer:
x = mp - np
Step-by-step explanation:
Step 1: Multiply both sides by p.
[tex]m * p = n *p+ (x/p) * p[/tex] [tex]mp=np+x[/tex]Step 2: Subtract np from both sides.
[tex]x + np - np = mp - np[/tex] [tex]x = mp - np[/tex]Answer the Both Question in the image using the knowledge of Volume of Solid. 50 points
Answer:
Part A
Cone
[tex]\mathsf{volume \ of \ a \ cone=\dfrac13\pi r^2h}[/tex]
(where r is the radius and h is the height)
Given:
r = ah = 2r = 2a[tex]\implies \mathsf{volume \ of \ the \ cone=\dfrac13\pi \cdot a^2\cdot2a=\dfrac23\pi a^3}[/tex]
Hemisphere
[tex]\mathsf{volume \ of \ a \ sphere=\dfrac43\pi r^3}[/tex]
[tex]\implies \mathsf{volume \ of \ a \ hemisphere=\dfrac12 \cdot\dfrac43\pi r^3=\dfrac23\pi r^3}[/tex]
Given
r = a[tex]\implies \mathsf{volume \ of \ the \ hemisphere=\dfrac23\pi a^3}[/tex]
Therefore
volume of cone with radius a = volume of hemisphere with radius a
Part B
[tex]6.82^2\times\sqrt[3]{0.005}[/tex]
Take log of base 10:
[tex]\implies \log_{10}(6.82^2\times\sqrt[3]{0.005})[/tex]
Using log law [tex]\log(a \times b)=\log a+\log b[/tex]:
[tex]\implies \log_{10}(6.82^2)+\log_{10}(\sqrt[3]{0.005})[/tex]
Using low law [tex]\log(a^b)=b \log a[/tex]
[tex]\implies 2\log_{10}(6.82)+\dfrac13\log_{10}(0.005)[/tex]
Log tables
The characteristic of the logarithm of a number is the exponent of 10 in its scientific notation.
The mantissa is found using the log tables and is always prefixed by a decimal point.
The row is the first two non-zero digits of the number, and the column is the 3rd digit of the number
Use the log tables to find [tex]\log_{10}(6.82)[/tex]:
6.82 = 6.82 × 10⁰
⇒ characteristic = 0
log table: row 68, column 2 ⇒ mantissa 8338 ⇒ 0.8338
characteristic + mantissa = 0 + 0.8338 = 0.8338
Therefore, [tex]\log_{10}(6.82)=0.8338[/tex]
Use the log tables to find [tex]\log_{10}(0.005)[/tex]:
[tex]0.005 = 5.0 \times 10^{-3}[/tex]
⇒ characteristic = -3
log table: row 50, column 0 ⇒ mantissa 6990 ⇒ 0.6990
characteristic + mantissa = -3 + 0.6990 = -2.301
Therefore, [tex]\log_{10}(0.005)=-2.301[/tex]
Therefore,
[tex]2\log_{10}(6.82)+\dfrac13\log_{10}(0.005)[/tex]
[tex]\implies 2\cdot0.8338 + \dfrac13 \cdot -2.301[/tex]
[tex]\implies 1.6676 - 0.767[/tex]
[tex]\implies 0.9006[/tex]
Therefore,
[tex]\log_{10}(6.82^2\times\sqrt[3]{0.005})=0.9006[/tex]
Using [tex]\log_{a}b=c \implies a^c=b[/tex]
[tex]\implies 6.82^2\times\sqrt[3]{0.005}=10^{0.9006}[/tex]
[tex]\implies 6.82^2\times\sqrt[3]{0.005}=7.954[/tex]
given for cone:
radius: aheight: 2avolume of cone:
[tex]\sf \rightarrow \dfrac{1}{3} \pi r^2h[/tex]
[tex]\sf \rightarrow \dfrac{1}{3} \pi (a)^2(2a)[/tex]
[tex]\sf \rightarrow \dfrac{2\pi a^3}{3}[/tex]
no metal wasted means no volume wasted while melting so volume: same.
volume of hemisphere:
[tex]\hookrightarrow \sf \dfrac{2}{3} \pi r^3[/tex]
This is equal to the volume of cone.
[tex]\hookrightarrow \sf \dfrac{2}{3} \pi r^3 = \dfrac{2\pi a^3}{3}[/tex]
[tex]\hookrightarrow \sf a^3 = r^3[/tex]
[tex]\hookrightarrow \sf a = r[/tex]
Therefore shown that radius of cone is similar to radius of hemisphere.
(b)
[tex]6.82^2 *\sqrt[3]{0.005}[/tex]
[tex]7.9535[/tex]
[tex]7.95[/tex]
ITSS EASY PLEASE HELPP
i) 15 students
ii) 15 students
Find product of (6x^2 +8) (3x^2-5x+7) HELPPP
In an RPG game, each player has 9 talent points, and they can allocate those points into 18 unique talents. How many different arrangements of talent points are there?
The arrangement of the total point is an illustration of combination
There are 162 different arrangements of talent points
How to determine the total arrangementThe number of points is:
Points = 9
The number of talents is:
Talents = 18
So, the number (n) of arrangement is:
n = 9 * 18
This gives
n = 162
Hence, there are 162 different arrangements of talent points
Read more about combination at:
https://brainly.com/question/12468032
how much feet is 0.6 miles
Answer:
0.6 multiply by 5250
its 3168
The Conversion of 0.6 miles is equal to 3,168 feet.
To convert 0.6 miles to feet, we need to use the conversion factor that 1 mile is equal to 5,280 feet.
As, 1 mile= 5280 feet
So, we can multiply 0.6 miles by the conversion factor:
= 0.6 miles x 5,280 feet/mile
= 3,168 feet
Therefore, 0.6 miles is equal to 3,168 feet.
Learn more about Unit Conversion here:
https://brainly.com/question/14523259
#SPJ6
what is the remainder of 14 divided by 374
Find the domain and real zeros of the given function
F(x)= 3x-5/x^2-x-12
Answer:
DOMAIN : x ∈ (-∞ , -3 )U (4 , ∞) or {x | x ∈ R where x ≠ -3 and 4}
REAL ZEROS : x = 5/3
Step-by-step explanation:
[tex]f(x) = \frac{3x -5}{x^{2} -x-12}[/tex]
factorize the bottom part
[tex]x^{2} - x - 12[/tex]
product = -12 , sum = -1 , factors = -4 and 3
[tex]x^{2} +3x-4x-12=0[/tex]
x (x + 3) - 4(x + 3) = 0
(x - 4) ( x + 3) = 0
x - 4 = 0 and x + 3 = 0
x = 4 and x = -3
for the function f(x) the domain is all real numbers ( R ) except - 3 and 4
Domain = x ∈ (-∞ , -3 )U (4 , ∞)
TO FIND THE ZEROS LET f(x) be equal to zero
[tex]0 = \frac{3x - 5}{x^{2} - x - 12}[/tex]
cross multiply
0 = 3x - 5
find x
3x = 5
[tex]x = \frac{5}{3}[/tex]
help me use order of operations to find this awnser
Answer:
97
Step-by-step explanation:
4^2+3(37-(2*5))
4^2+3(37-10)
4^2+3(27)
16+3(27)
16+81
=97
Answer:
Step-by-step explanation:
(2*5)=10, 37-10=27, 4^2=16, 3(27)=81, 16+81= 97
I need help... It's kinda confusing for me..
Answer:
y = -5x - 1
Step-by-step explanation:
To find the function rule:
We use the equation "y = mx + b"
Function rule: What we need to do to "x" to get "y"
Look at the x-values. You need to know if they are going up by one or if they are skipping. In this case, they are going up by one.
Next, look at the y-values and see how they are changing. The y-values in this table are going down by 5 every time, which means we will multiply each "x" by "-5".
After that, pick the first 'x" in the table and multiply it by "-5", then figure out what you need to do to make it equal the y-value.
You need to subtract 1. This means the rule is "y = -5x - 1"
To check if this is correct, we do the following:
y = -5x - 1
Substitute the first x and y values into the equation
9 = -5(-2) - 1
Multiply -5 and -2
9 = 10 - 1
Subtract 1 from 10
9 = 9
True
Let's check the second equation
y = -5x - 1
Substitute the x and y values in the second column of the table
4 = -5(-1) - 1
Multiply -5 and -1
4 = 5 - 1
Subtract 1 from 5
4 = 4
True
So, the function rule "y = -5x - 1" is true
What is a formula for the nth term of the given sequence? 12, 6, 3
Answer:
I think it is dividing the numbers by 2
Write the equation given the point 4,2 and slope 1/2
Hello.
We have a point that the line passes through and its slope.
Let's write the equation in Point-Slope Form:
y-y₁=m(x-x₁)
In this case,
y₁=2
m=[tex]\displaystyle\frac{1}{2}[/tex]
x₁=4
Plug in the values:
[tex]\mathrm{y-2=\displaystyle\frac{1}{2} (x-4)}[/tex]
This is point-slope form. Now, what about Slope-Intercept?
First, we should distribute [tex]\displaystyle\frac{1}{2}[/tex]:
[tex]\mathrm{y-2=\displaystyle\frac{1}{2} x-2}[/tex]
Add 2 to both sides:
[tex]\mathrm{y=\displaystyle\frac{1}{2} x-2+2}[/tex]
Simplify:
[tex]\mathrm{y=\displaystyle\frac{1}{2} x}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Answer:
Step-by-step explanation:
Slope intercept form: y = mx + b
here, m is the slope and b is the y-intercept.
[tex]y=\dfrac{1}{2}x+b[/tex]
The line passes through the point(4,2)
.Plugin these x ad y values in the above equation to find 'b'
[tex]2= \dfrac{1}{2}*4+b\\\\\\2=2+b\\\\b = 2 - 2[/tex]
b = 0
Equation of the line :
[tex]y =\dfrac{1}{2}x[/tex]
Identify the matrix transformation of ΔDEF, which has coordinates D(3, −2),E(4, 1), and F(7, 2), for a translation 1 unit right and 2 units down. Then identify the correct vertices of the image.
Answer:
D'(2,0), E'(3,3), F'(6,4)
Step-by-step explanation:
The matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that, the coordinates of ΔDEF will be D(3, −2), E(4, 1), and F(7, 2).
For a translation 1 unit right and 2 units down we got the coordinates as D'(2,0), E'(3,3), and F'(6,4).
Thus, the matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).
Learn more about the geometric transformation here:
brainly.com/question/16156895
#SPJ2