What is the scale factor of the dilation?
Step-by-step explanation:
ANSWER MY RECENT question
Help (again) (Brainly wont let me post without 20 chars so filling in gaps)
Step-by-step explanation:
[tex]at \:x = 0 \: y = 5 \\ at \:x = 1 \: y = 20 \\ y = mx + b \\ b = 5 \\ 20 = m + 5 \\ m = 15 \\ y = 15x + 5[/tex]
Solve the equation by using the Quadratic Formula. Round to the nearest tenth, if necessary. Write your solutions from least to greatest, separated by a comma, if necessary. If there are no real solutions, write no solutions.
-3x2=8x−12
Answer:
x = −3.737034184 or 1.070367517
Step-by-step explanation:
This is my working for this question
−3x^2−(8x−12)=8x−12−(8x−12)
−3x^2−8x+12=0 // first make it =0
Now we know a=-3, b=-8, c=12
then use quadratic formula for answer
x = −3.737034184 or 1.070367517
What is the product of the difference between 12 and 3 and the quotient of 12 and 3
Answer: 12 divided by 3 equals 4
Step-by-step explanation: this should answer your question if not, then please feel free to message me.
According to the given information, the difference between 12 and 3 is 9 and the quotient of 12 and 3 is 4. Hence, the Product of the difference and the quotient is 36.
Use the concept of multiplication defined as:
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
To find the product and quotient you mentioned,
Break it down step by step.
First, let's find the difference between 12 and 3.
The difference is the result of subtracting one number from another. So,
12 - 3 = 9.
Next, let's find the quotient of 12 and 3.
The quotient is the result of dividing one number by another. So,
12 ÷ 3 = 4.
Finally, to get the product of the difference and the quotient,
We multiply them together.
In this case,
9x4 = 36.
Hence, the product of the difference between 12 and 3 and the quotient of 12 and 3 is 36.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ3
Write the expression as a decimal number.
6 × 1 + 1 × 1/10+ 8 × 1/100 + 6 × 1/1000 =
Answer:
=6.186
explanation;
first divide then u will get this
6+1×0.1+8×0.01+6×0.001
second multiply then you will get this
6+0.1+0.08+0.006
third you will get the answer which is
=6.186
An object moves in simple harmonic motion with period 8 seconds and amplitude 6 cm. At time t = 0 seconds, its displacement d from rest is -6 cm,
and initially it moves in a positive direction.
Give the equation modeling the displacement d as a function of time t.
d = 0
昌 石
UT
CD
In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
What is simple harmonic motion?Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.
We have:
Amplitude A = 6 cm
Time period = 8 seconds
T = 2π/w
8 = 2π/w
w = π/4
Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.
d(0) = -6 cm at t = 0
The equation becomes:
[tex]\rm d = 6sin(\dfrac{\pi}{4}t)-6[/tex]
Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
Learn more about the simple harmonic motion here:
https://brainly.com/question/17315536
#SPJ1
The Central Limit Theorem says that when sample size n is taken from any population with mean μ and standard deviation σ when n is large, which of the following statements are false? (4 points)
I The distribution of the sample mean is exactly Normal.
II The distribution of the sample mean is approximately normal.
III The standard deviation is equal to that of the population.
IV The distribution of the population is exactly Normal.
I and II
I only
II and III
II only
The option that is correct about the central limit theorem is D (II only).
What is the Central Limit theorem?According to the central limit theorem, if you have a population with a mean and standard deviation and take sufficiently large random samples from it with replacement, the distribution of the sample means will be nearly normally distributed.
As we know about the central limit theorem, the distribution of the sample means is approximately normal. Therefore, the option that is correct about the central limit theorem is D (II only).
Learn more about Central Limit Theorem:
https://brainly.com/question/18403552
#SPJ1
Find the slope of the line y=1/6x+3/2
Answer: slope = 1/6
Reason:
The given equation is in slope-intercept form y = mx+b
m = 1/6 = slope
b = 3/2 = y intercept
PLSS HELP I’LL MARK BRAINLYESS OR WTV ITS CALLED
Answer: 4,5,6,7
Step-by-step explanation:
y=-2/2+5 y=0/2+5 y=2/2+5 y=4/2+5
y=-1+5 y=0+5 y=1+5 y=2+5
y=4 y=5 y=6 y=7
(-2,4) (0,5) (2,6) (4,7)
Which function has a vertex on the y-axis? f(x) = (x – 2)2 f(x) = x(x 2) f(x) = (x – 2)(x 2) f(x) = (x 1)(x – 2)
The function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)
How to determine the function?For a function to have its vertex on the y-axis, then the coordinate of the vertex must be:
(h,k) = (0,y)
A quadratic function is represented as:
f(x) = (x - h)^2 + k
So, we have:
f(x) = (x - 0)^2 + k
Evaluate
f(x) = x^2 + k
From the list of options, we have:
f(x) = (x - 2)(x + 2)
Expand
f(x) = x^2 - 4
Hence, the function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)
Read more about vertex at:
https://brainly.com/question/18797214
#SPJ4
29. One side of square ABCD has a length of 12 meters. A
certain rectangle whose area is equal to the area of
ABCD has a width of 8 meters. What is the length, in
meters, of the rectangle?
A. 12
B. 16
C. 18
D. 20
E. 24
Answer:
C. 18
Step-by-step explanation:
[tex]S_{ABCD}=12^2=144[/tex] [tex]m^2[/tex]let the length is [tex]x[/tex] [tex]m[/tex]
So: [tex]8x=144[/tex]
[tex]So:x=18[/tex]
The length of the rectangle with an equal area to the square is 18 m. The correct option is C.
What is a rectangle?A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The square is defined as a quadrilateral having all the sides to be equal and all the angles to be congruent.
Given that one side of square ABCD has a length of 12 meters. A certain rectangle whose area is equal to the area of ABCD has a width of 8 meters.
The area of the square is,
Area = 12² = 144 square meters
The length of the rectangle is calculated as,
Area = 8x
144 = 8x
x= 144 / 8
x = 18 meters
To know more about rectangles follow
https://brainly.com/question/25292087
#SPJ2
Carrie borrowed money from her sister Melissa. She has been paying her back $80 a month for the past 5 months. If this is 32% of the money that she borrowed, how much money did she borrow?
The money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.
What is percentage of a number?Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Carrie borrowed money from her sister, whose name is Melissa. She has been paying her back $80 a month for the past 5 months. Thus, the total amount she has returned is,
x=$80×5
x=$400
Now, the $400 is 32% of the money that she borrowed. Thus, the amount of money which she borrowed is,
[tex]\text{Money}=\dfrac{400}{32}\times100\\\text{Money}=1250[/tex]
Thus, the money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.
Learn more about the percentage here;
https://brainly.com/question/2085058
#SPJ1
Could someone help me change it into a mixed number?
4 1/3 x 6
Answer:
I think your answer should be 26
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
13/3 ×6/1
Applying the fractions formula for multiplication,
13/3 x 6/1
=78/3
Simplifying 78/3, the answer is
=26
I'm not positive but this is how I solved the problem:
Find the amount of money a woman owes at the end of 3 years if 5% interest is compounded continuously on her $2500 debt
Answer:
$ 2904.59
Step-by-step explanation:
For CONTINUOUS compounding FV = PV e^it
FV = future value PV = present value i = decimal interest t = years
FV = 2500 e^(.05 * 3) = 2904.59
i need help with this please.
Answer:
1) 4*(-2)-3=-11
2) 5(0+1)=5*1=5
3) 3*-9+4=-23
4)(12-1)6=66
5) -7*(-1)=7
Step-by-step explanation:
Josephine can correct her students test papers in 5 hours, but if her teacher’s assistant helps, it would take them 3 hours. How long would it take the assistant to do it alone?
7 hours 30 minutes
Sure hope this helps you :D
If Josephine alone can correct test papers in 5 hours and if she takes helps from an assistant takes 3 hours then time taken by assistant alone to try and do the full add 7.5 hours.
What is average?An average is basically total sum divided by number whose sum is found. Average= sum/n.
How to calculate time?Josephine takes 5 hours to correct her students test papers.
Josephine and assistant takes 3 hours to correct papers.
Let the test paper contains 100 questions.
In 1 hour Josephine checks 100/5 =20 questions per hour.
In 1 hour Josephine and Assistant checks 100/3=33.33 questions per hour.
In 1 hour assistant checks 33.33-20=13.33 questions.
Time taken by assistant to try to to work alone=100/13.33=7.5 hours.
Hence to try to to the work alone the assistant takes 7.5 hours.
Learn more about average at https://brainly.com/question/20118982
#SPJ2
Which linear equation best represents the line of best fit for the scatterplot?
y = − 1/3x
y= 3x
y=−3x
y = 1/3x
Answer:
[tex]y = -\frac{1}{3}x[/tex]
Step-by-step explanation:
The scatter plot trends downward from left-> right, meaning that it is negative. Next, use two points to solve for the value for the slope.
In this case, I will use (-3 , 1) & (0 , 0)
Use the following equation. m = slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (0 , 0)\\(x_2 , y_2) = (-3 , 1)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{1 - 0}{-3 - 0} = \frac{1}{-3} = -\frac{1}{3}[/tex]
Your answer will be:
[tex]y = -\frac{1}{3}x[/tex]
helppppppppppppppp 98 points
Answer:
18 square units
Step-by-step explanation:
The top line has 5 shaded squares
The next line has 5 shaded squares
The third line from the top has 2 squares
The fourth line from the top has 2 squares
The fifth line from the top has 2 squares
The sixth line from the top has 2 squares
Add them together
5+5+2+2+2+2 = 18
18 square units
Which equation is the axis of symmetry of a quadratic function in standard form?
[tex] x = \frac{b}{2a} [/tex]
for example let's say we have 2x²+4x+3
Step-by-step explanation:
4 is the co-efficient of x therefore you substitute 4 in terms of b. 2 is the co-efficient of x² therefore you substitute 2 in terms of a.
[tex] x = \frac{4}{2(2)} [/tex]you will find your x value then you will substitute x from the original formula to get your y value.
Hey guys! Sorry to bother you but I’m completely stuck. Does someone think they can like attach a photo or show their work on this or something? This is 5th grade math so it shouldn’t be too hard. Offering quite a bit of points! :D
[tex]2.ans \: 3 \: \div \frac{1}{8} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 \: \div 0.125 \\ \\ = 0.041[/tex]
[tex]3.ans \: 5 \: \div \frac{1}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 \: \div 0.33 \\ \\ \: \: \: \: \: \: \: \: \: 15.15[/tex]
Hope it helpsWhich expression is equivalent to
(x^6y^8)^3/ x^2y^2
Answer:
(x ^ 16y ^ 22)
Step-by-step explanation:
For this case we have the following expression:
(x ^ 6y ^ 8) ^ 3 / x ^ 2y ^ 2
Rewriting and for power properties we have:
(x ^ 18y ^ 24) / x ^ 2y ^ 2
(x ^ (18-2) y ^ (24-2))
(x ^ 16y ^ 22)
Vanessa bought a house for $268,500. she has a 30 year mortgage with a fixed rate of 6.25%. vanessa’s monthly payments are $1,595.85. how much was vanessa’s down payment?
Based on the calculation below, the amount of vanessa’s down payment is $9,314.45.
Calculation of down paymentFirst, we have to calculate the balance after deducting vanessa’s down payment using the formula for calculating the present value (PV) of an ordinary annuity as follows:
PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV = Present value or balance after deducting vanessa’s down payment = ?
P = Monthly payment = $1,595.85
r = Monthly interest rate = 6.25% / 12 = 0.0625 / 12 = 0.00520833333333333
n = number of months = 30 * 12 = 360
Substitute the values into equation (1), we have:
PV = $1,595.85 * ((1 - (1 / (1 + 0.00520833333333333))^360) / 0.00520833333333333) = $259,185.55
Now, the amount of vanessa’s down payment can be calculated as follows:
Vanessa’s down payment = Cost of the house – PV = $268,500 - $259,185.55 = $9,314.45
Learn more about the present value of an ordinary annuity here: https://brainly.com/question/17112302.
#SPJ4
2 inches Problem 2: = 2 On the map the scale is 5 inch = 25 miles. How many miles would it be to travel 8 - inches on the map? Problem 3:
Answer:
Map Scale Equivalents
Map Scale Miles to Inches
1:100,000 1.6 miles = 1 inch
1:126,700 2 miles = 1 inch
1:150,000 2.4 miles = 1 inch
1:200,000 3 miles = 1 inch
Step-by-step explanation:
need help asap pls!
Find the radius, diameter, area, and circumference of the circle
shown:
Step-by-step explanation:
Diameter =30
radius=30/2=15
area =πr²
=π×15²
= π×(15)(15)
=225π cm² or 706.95cm²
circumference C=πD
C=3.142×30cm
C=30πcm or 94.26cm
Charlotte recorded the number of minutes she spent exercising in the past ten days: 8, 10, 5, 2, 7, 1, 11, 3, 5, 6. Find the median of the data.
Work out the perimeter of a quarter circle that has the diameter of 7cm
Answer:
Perimeter = 12.5 cm
Step-by-step explanation:
Perimeter of quarter cirlce:d = 7 cm
[tex]\sf \boxed{\text{Circumference of quarter circle =$\dfrac{1}{4} \pi d$}}[/tex]
[tex]\sf = \dfrac{1}{4}*\dfrac{22}{7}*7\\\\ =\dfrac{11}{2}\\\\ = 5.5 \ cm[/tex]
Perimeter = radius + radius + circumference of quarter circle
= diameter + circumference of the quarter circle.
= 7 + 5.5
= 12.5 cm
Answer:
24.997
Step-by-step explanation:
its actually really hard for me to explain im sorry i only know the answer-
if you cant see let me know.
Answer:
Photo is blurred not be able to seee
Help pls the question on the screen shot
?Eric conducted an experiment in his science class and recorded the data in a table.
Eric’s science experiment, time (seconds), 3, Six, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.
What is the constant of proportionality that relates the distance traveled, y, to the elapsed time in seconds, x, represented by this data?
The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Eric conducted an experiment in his science class and recorded the data in a table.
Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.
Let x be the time and y be the distance.
Let the distance and time be linear to each other. Then the linear equation is given as
y - 36 = [(36 - 18) / (6 - 3)] (x - 6)
y - 36 = 6 (x - 6)
y = 36 + 6x - 36
y = 6x
Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
Find the probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck.
The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck is 0.01923.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck will be,
Probability = (13/52) × (4/52) = 0.01923
Hence, The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck is 0.01923.
Learn more about Probability:
https://brainly.com/question/795909
#SPJ1
