Answer:
o(-2,-1)
Step-by-step explanation:
Let point A be initial point and A' be terminal point.
A(-7,3), A'(x,y) and V=(5,-4)
V=(Xf-Xi,Yf-Yi)
(5,-4)=(x-(-7),y-3)
(5,-4)=(x+7,y-3)
5=x+7. -4=y-3
5-7=x. -4+3=y
x=-2. y=-1
A'=(-2,-1)
The coordinates of A'(-2, -1).
What is Translation?Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Given:
point A(-7, 3)
and vector, V =(5, -4).
So, V=([tex]X_f-X_i,Y_f-Y_i[/tex])
Where X(final) = ?, Y(Final)= ?
So, (5,-4)=(x-(-7),y-3)
(5,-4)=(x+7,y-3)
On comparing the coordinates
5=x+7 and -4=y-3
x= 2 and y = -1
Hence, the coordinates of A'(-2, -1)
Learn more about translation here:
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2x+ 4y=20 find the slope for y and x
Answer:
y= 5 x=10
Step-by-step explanation:
substitute by 0
The spray from a spinning lawn sprinkler makes
a circle with a 40 foot radius. If Ben and his
friends what to play and get wet, how much
space do they have?
Answer: [tex]5027.2\ ft^2[/tex]
Step-by-step explanation:
Given
The radius of the circle is [tex]r=40\ ft[/tex]
The area of the circle is given by [tex]\pi r^2[/tex]
Insert the value of radius and get the area to play
[tex]\Rightarrow \text{Area A=}\pi \times 40^2\\\\\Rightarrow A=3.142\times 1600\Rightarrow A=5027.2\ ft^2[/tex]
Thus, the area to play is [tex]5027.2\ ft^2[/tex]
What is the slope of the following equation?
y = 2x -3
Answer:
Step-by-step explanation:
2 is the slo[pe:)
A factory fills bottles with a beverage, and each bottle is supposed to contain 500\text{ mL}500 mL500, start text, space, m, L, end text. Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml. She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml. Norah wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.
Required:
Calculate the test statistic for Norah's test.
Answer:
The test statistic for Norah's test is [tex]t = -2[/tex]
Step-by-step explanation:
Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml.
This means that at the null hypothesis we test if the sample mean is 500 ml, that is:
[tex]H_0: \mu = 500[/tex]
At the alternate hypothesis, we test if it is differente than 500 ml, that is:
[tex]H_a: \mu \neq 500[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
500 is tested at the null hypothesis:
This means that [tex]\mu = 500[/tex]
She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml.
This means that [tex]n = 16, X = 497, s = 6[/tex]
Calculate the test statistic for Norah's test.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{497 - 500}{\frac{6}{\sqrt{16}}}[/tex]
[tex]t = -2[/tex]
The test statistic for Norah's test is [tex]t = -2[/tex]
Answer: -2
Step-by-step explanation: Khan
Question 20 of 25
What is the quadratic regression equation that fits these data?
Number of seconds Height (in feet)
x. y
0. 11
1. 13
2. 13
3. 12
4. 9
5. 1
A. y = -3.07x^2 +0.41x + 15.65
B. y=19.61(0.69^2)
c. y= -2.34x^2 + 2.19x + 16.25
D. y = -1.11x^2 + 3.74x + 10.64
Answer: The person who said it's D is right
Step-by-step explanation: I took the test and I got it right
The quadratic regression equation that fits these data is -1.107 X² +3.736 X +10.643 .
What is Quadratic Regression ?A quadratic regression is the process of finding the equation of the parabola that best fits a set of data. As a result, we get an equation of the form:
y=ax2+bx+c where a≠0 .
The best way to find this equation manually is by using the least squares method.
That is, we need to find the values of a ,b, and c such that the squared vertical distance between each point (xi,yi) and the quadratic curve y=ax2+bx+c is minimal.
After solving we get the values of a , b, and c and thus we form the equation
-1.107 X² +3.736 X +10.643
To know more about Quadratic Regression
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What’s the correct answer??? I will mark as brainlest?
Answer:
t=0.15n
Step-by-step explanation:
I had it on a test and it was correct
3.75=0.15(25)
and when you times 0.15*25 it equals 3.75
Can you pleaseee help me I beg u !
Answer:
[tex]x < - 7[/tex]
the answer is option C
14)
a + b = 10
a-b=2
Solve the system of equations.
A)
a = 5. b = 5
B)
a = 2, b = 8
a = 6, b = 4
D
a = 3,6 = 7
Answer:
a = 6 and b = 4
Step-by-step explanation:
hopefully this makes sense
:)
Lincoln buys milk and oranges at the store.
He pays a total of $41.63.
He pays a total of $4.19 for the milk.
• He buys 6 bags of oranges that each cost the same amount.
.
Write and solve an equation which can be used to determine x, how much each bag
of oranges costs.
Answer:
$6.24
Step-by-step explanation:
equation: $41.63 - 4.19 = 37.44
solve: 37.44 ÷ 6 = 6.24.
hope this helped!
Answer:
He pays a TOTAL of $41.63. Meaning everything is equal to that value
He pays 4.19$ for Milk
He buys 6bags of Oranges and each of these cist the same amount.. let's say x.
So 6 bags would cost 6x
So Total is
6x + 4.19 =41.63
6x= 41.63-4.19
6x=37.44
x=37.44/6
x=$6.24
To check this
6x + 4.19 should equal 41.63$
6(6.24) + 4.19= $41.63
Write a problem that can be answered using the line plot
Answer:
I cant see anything. . . i dont know if you posted a picture but i didnt get it. . . btw IF SOMEONE SAYS THE EXPLANATION IS IN THIS LINK DO NOT CLICK IT!!!! IT IS A VIRUS. . . I TESTED IT ON MY TEST PC AND IT GAVE ME A VIRUS!!! AGAIN IF ANYBODY GIVES YOU A LINK DO NOT PRESS IT. that being said please tell me the question and i will give you the answer :)
Step-by-step explanation:
if the sum of any two number is 20 and difference is 10 find the numbers
"The sum of two numbers is 20" can be translated mathematically into the equation:
x + y = 20.
"... and their difference is 10" can be translated mathematically as:
x - y = 10
We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:
Adding the two equations will eliminate the variable y:
x + y = 20
x - y = 10
-----------
2x + 0 = 30
2x = 30
(2x)/2 = 30/2
(2/2)x = 15
(1)x = 15
x = 15
Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):
x + y = 20
15 + y = 20
15 - 15 + y = 20 - 15
0 + y = 5
y = 5
CHECK:
In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:
x + y = 20 x - y = 10
15 + 5 = 20 15 - 5 = 10
20 = 20 10 = 10
Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:
xy = 15(5)
xy = 75
Mr. Litterski creates a ball from rubber bands.
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit. HELP PLEASE!!
Answer:
The surface area of the ball is of 29 square inches.
The volume of the ball is of 15 cubic inches.
Step-by-step explanation:
The ball has an spherical format:
Circumference of a sphere:
The circumference of a sphere is 6.2832 times the radius.
Surface area
[tex]A = 4\pi r[/tex]
In which r is the radius.
Volume:
[tex]V = \frac{4\pi r^3}{3}[/tex]
The circumference of the ball is 9.4 inches.
So the radius is:
[tex]6.2832r = 9.4[/tex]
[tex]r = \frac{9.4}{6.2832} = 1.53[/tex]
Surface area
[tex]A = 4\pi(1.53)^2 = 29.3[/tex]
Rounding to the nearest unit, the surface area of the ball is of 29 square inches.
Volume:
[tex]V = \frac{4\pi (1.53)^3}{3} = 14.9[/tex]
Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.
Please ASAP please
Answer:
A)3.125hr
B)53.325mi
Step-by-step explanation:
speed=distance/time
an hour and 15min=1.25hr
32/1.25=25.6mi/hr
80/25.6=3.125hr
B)
2hr and 5min=2+5/60=2.083hr
2.083x25.6=53.325mile
HELP ASAP I DON'T UNDERSTAND
A hammock holds a maximum of 360 lbs. Three kids want to go on the hammock. If each kid weighs the same, what is the greatest weight, in pounds, each kid could be to go on the hammock. Write and solve an inequality to represent this situation
Answer:
120lbs
Step-by-step explanation:
360lbs÷3 =120lbs
Round off to two decimal places
27.305
Answer:
20 in place value of 2
hope it helped
Which of the following graphs is the same as y = log1/2x?
Answer:
x=2^-y
A
Step-by-step explanation:
x | y
1 | 0
2 | -1
4 | -2
every day amy travels 30 miles one-way to work. The park-and-ride where she catches the train is 5 miles from her home. The average speed of the train is 15 mph faster than the average speed in her car. assuming she has no wait time for the train, her one-way trip takes 45 minutes. Find the speed of the car.
Answer:
Speed= 0.6666667 miles per hour
Step-by-step explanation:
You can find the average speed of an object if you know the distance traveled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.
x ( x + 4 ) − 3 = 4 ( x + 19.5 )
Answer:
9
Step-by-step explanation:
Tara bought a silver coat rack originally priced at $375 but on sale for 20% off. After 12% sales tax, what was the total cost?
Answer:
$336
Step-by-step explanation:
1 - 20% = .8
1 * 12% = 1.12
375 * .8 * 1.12 = 336
The total cost was of $336.
--------------
This question is solved using percentages/proportions.
The original price is of $375.On sale for 20% off, which means that you pay 1 - 0.2 = 0.8 of the price.Sales tax of 12%, which means that the cost is also multiplied by 1 + 0.12 = 1.12.Thus, the total cost will be given by:
[tex]C = 375 \times 0.8 \times 1.12 = 336[/tex]
The total cost was of $336.
A similar question is given at https://brainly.com/question/8719621
Allie made the line plot below to show the lengths of strings she cut for her art project.
What is the difference in length between the length of string she used most often and the length of string she used least often?
how can she die Lol free pts man LOL
Answer:
1/4, or 0.25 inches
Step-by-step explanation:
You count the dots. The number of dots tell you how many of each length of string she used.
You first find the column with the most dots, and then you find the column with the least. Then you just subtract them, the number of inches it displays on the bottom, 12 1/2 - 12 1/4, which is 1/4. I did this in my head and you can use a calculator if you want.
Thanks for the points, and have a blessed day. Hope this helps.
Answer:
Im pretty sure you acc was deleted so whatever dude the length was 69 inches and 420 millimeters
Find the missing side. Round to
the nearest tenth.
Х
28°
15
X =
= [?]
Answer:
16.99
Step-by-step explanation:
Because I used trigonometry
Please no troll include work
A mathematics textbook has 6 pages of instruction for every 2 pages of practice problems. How many pages of instruction does it have for every page of practice problems? (NO LINKS, IF I SEE A LINK I'LL TAKE IT DOWN
Answer:
3 pages of instruction for every practice problem
Step-by-step explanation:
#1
6
Alie will roll a dice and flip a coin for a
probability experiment. The dice is numbered
one through six and the coin can land on
heads or tails.
If Allie rols the number cube once and flips
the coin once which list contains only the
outcomes in which the number cube lands on a
number less than 3?
B) Heads
D
I Heads
i Tols
Tals
3. Tals
2 Heads
2. Heads
2 Heads
2. Tots
2. Tals
2 Tails
3. Heads
3. Heads
3. Tots
3. Tals
чHeads
4. Tois
5. Heads
5. Tois
6. Heads
6. Tales
A) Heads
C)3 Hoods
Answer:
so it is 20 c because like why not
In this composite function, (g◦f)(x) where f(x)=(X-3) and g(x)=X^2 what is (g◦f)(x) when x=1?
(g◦f)(1)=4
(g◦f)(1)=-4
(g◦f)(1)=-2
(g◦f)(1)=2
A survey of 80 students found that 24 students both play in the band and play a sport. But 22 students are not in band and do not play a sport. There are 48 students in the band. If being in band is the row variable and playing sports is the column variable, fill in the labels in the table.
A 4-column table with 3 rows. Column 1 has entries in band, not in band, total. Column 2 is labeled play a sport with entries a, d, g. Column 3 is labeled do not play a sport with entries b, e, h. Column 4 is labeled total with entries c, f, i.
Which of the following correctly represents the given data in the problem?
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, i = 48
a = 24, b = 48, c = 22, i = 48
a = 24, c = 48, e = 22, i = 80
Answer:
yes
Step-by-step explanation:
mark me brainlist please
Answer:
the answer is d
Step-by-step explanation:
Pls help I’ll brainlest hurry due in 3 minutes
Answer:
B
Step-by-step explanation:
MOVE TO THE RIGHT 9 TIMES!!
The area of the triangle shown is represented by A=s(s−14)(s−12)(s−6)−−−−−−−−−−−−−−−−−−−−√A=s(s−14)(s−12)(s−6), where s is equal to half the perimeter. What is the height h of the triangle? Round your answer to the nearest hundredth.
Answer:
[tex]h=5.11ft[/tex]
Step-by-step explanation:
[tex]S=12+6+14/2=16[/tex]
[tex]area ~A= \sqrt{s(s-14)(5-12)(5-6)}[/tex]
[tex]area=\sqrt{16(16-14)(16-12)(16-6)}[/tex]
[tex]A=\sqrt{16×2×4×10}[/tex]
[tex]A=35.70[/tex]
[tex]A=1/2× base~×height[/tex]
[tex]35.70=1/2×14×h[/tex]
[tex]h=2×35.75/14[/tex]
[tex]h=5.11ft[/tex]
｡･:*:･ﾟ★,｡･:*:･ﾟ☆
hope it helps...
have a great day!!
Hey, can u help me with what to write
Answer:
Step-
In mathematics, a linear equation is an equation that may be put in the form a₁x₁+⋯+aₙxₙ+b=0, where x₁,…,xₙ are the variables (or unknowns), and b,a₁,…,aₙ are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables. To yield a meaningful equation, the coefficients a₁,…,aₙ are required to not all be zeroby-step explanation:
Check the equation for varying terms and constant terms. Usually, equations won't come with varying terms and constant terms lined up on separate sides.
In order to do this, you may have to subtract or add the numbers you want to move from both sides. ...
Move the varying terms to one side of the equation
Inverse Functions
Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree.
1
⁻
1
a. 45°
b. 90°
c. 0°
d. 1°
Please select the best answer from the choices provided
Answer:
A. 45°
Step-by-step explanation:
I calculated it logically