Answer:
(-4,-3)
Step-by-step explanation:
When a point (x,y) is reflected over the x-axis, you take the opposite so it becomes (x,-y).
(-4,3) --> (-4,-3)
Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC?
A) To the right five units, up three units.
B) To the left five units, down three units.
C) To the left five units, up three units.
D) To the right five units, down three units.
Answer:
it’s to the left 5 units, down three, so B because the translation maps abc to a’b’c’
Step-by-step explanation:
A class of 40 students visits a farm they tour the farm in group of 5 how many groups of 5 can they make?
Answer:
8
Step-by-step explanation:
40 grouped into 5 = 40/5 = 8
If a straight line y = mx + c passes through the intersecting point of 3x - y = 8 and x+ 2y = 5 which is perpendicular to the line 3x + 6y - 11 = 0. Find the value of 'm' and 'c'.
Answer:
Point of intersection:
[tex]3x - y = 8 - - - (a) \\ x + 2y = 5 - - - (b) [/tex]
2 × equation(b) + equation (a):
[tex]7x = 21 \\ x = 3 \\ \\ y = 3x - 8 \\ y = 1[/tex]
Point of intersection = (3, 1)
Perpendicular line:
[tex]3x + 6y - 11 = 0 \\ 6y = - 3x + 11 \\ y = - \frac{1}{2} x + \frac{11}{6} [/tex]
General equation of line:
[tex]y = mx + c \\ 1 = (2 \times 3) + c \\ c = - 5[/tex]
Value of m:
[tex]m \times m {}^{i} = - 1 \\ m \times - \frac{1}{2} = - 1 \\ m = 2[/tex]
Reaner Recycling collected 7/4 tons of aluminum last Saturday. If 7 ton of
aluminum can be shredded each day, how many days will it take to process what
was collected on Saturday?
Answer:
1/4
Step-by-step explanation:
since 7 tonnes can be shredded per day you need o divide the amount you have by 7
so 7/4 /7 = 1/4
so it will take 1/4 days
Answer:
[tex] \frac{1}{4} [/tex]
Step-by-step explanation:
Make a ratio
7 : 1
7/4:x
Cross multiple
7x = 7/4
Then make x a subject formula
x =1/4
Use the substitution method to solve the system of equations. Choose the correct ordered pair. x + y = 3 y = 9 A. (–12, 9) B. (–6, 9) C. (6, 9) D. (12, 9)
B(-6,9)is the answer
have a great dayyyy.
Find Term 20 for the sequence a= 4 6 8 10......
4,6,8,10 are in A.P
a=4d=2[tex]\\ \rm\Rrightarrow a_n=a+(n-1)d[/tex]
[tex]\\ \rm\Rrightarrow a_20=4+(20-1)2[/tex]
[tex]\\ \rm\Rrightarrow a_20=4+19(2)[/tex]
[tex]\\ \rm\Rrightarrow a_20=4+38[/tex]
[tex]\\ \rm\Rrightarrow a_20=42[/tex]
4) If the perimeter of a square is 48cm",
What is the length of each side?
Simplify your answer.
Answer:
If the total perimeter of square is 48 cm, then the length of one side is equal to 48 divided by 4, since all sides of a square are the same.
So, the correct answer is 12.
Let me know if this helps!
The length of each side is 12cm.
Explanation:
The perimeter of a square is calculated by the formula:
P = 4a , where P = perimeter, and a = length of any side, all sides being equal in a square.
From the given data we write:
48 = 4a
Divide both sides by
4.12 = a
The length of each side is 12cm.
Start with the number 2380.
Divide by 10,
The 8 will end up in the _____ place.
The 8 will end up in the "ones place".
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
We need to find the 8 will end up in which place
A negative divided by a negative is positive, then;
2380/ 10 = 238
Therefore, The 8 will end up in the _ ones_ place.
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Complete the pattern ___ 8,579 ____85.7 8.57____
Answer:
the next one is .857 I hope this helps you :)
the graph of the parabola y=3(x+5)2-2 has vertex (-5,-2). if this parabola is shifted 1 unit down and 6 units to the right, what is the equation of the new parabola?
Answer:
y = 3(x-1)^2 -3
Step-by-step explanation:
y = 3(x+5)^2 - 2
vertex: (-5, -2)
1 unit down :
-2 - 1 = -3
6 units to the right:
3(x+5-6)^2 -2
3(x-1)^2 - 2
make what's in the parenthesis equal to 0:
(x-1)^2 = 0
x = 1
or
-5 + 6 = 1
new vertex : (1, -3)
equation : y = 3(x-1)^2 -3
Translation involves shifting of points from one position to another. The equation of the new parabola is: [tex]y = 3(x - 1)^2 - 3[/tex]
Given that:
[tex]y = 3(x + 5)^2 - 2[/tex]
[tex](h,k) = (-5,-2)[/tex] --- vertex
The general equation of a parabola is:
[tex]y = a(x - h)^2 + k[/tex]
By comparison:
[tex]a = 3\\ h = -5 \\ k= -2[/tex]
When the vertex is shifted 1 unit down, the rule is:
[tex](x,y) \to (x,y-1)[/tex]
So, we have:
[tex](x,y) \to (-5,-2-1)[/tex]
[tex](x,y) \to (-5,-3)[/tex]
When the vertex is shifted 6 unit right, the rule is:
[tex](x,y) \to (x + 6,y)[/tex]
So, we have:
[tex](h,k) \to (-5 + 6,-3)[/tex]
[tex](h,k) \to (1,-3)[/tex]
This means that:
[tex]h = 1\\ k =-3[/tex]
Recall that:
[tex]a =3[/tex]
Substitute these values in:
[tex]y = a(x - h)^2 + k[/tex]
[tex]y = 3(x - 1)^2 - 3[/tex]
Hence, the equation of the new parabola is: [tex]y = 3(x - 1)^2 - 3[/tex]
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____________ is/are when data is analyzed in order to make decisions about the population behind the data.
A. Experiments
B. Simulations
C. Surveys
D. Statistics
Answer:
statistics are when data analyzed in order to make decisions about the population behind the data.
The correct answer to the question is Statistics (Option D).
What is statistics?
Statistics is a field of study in mathematics which deals with raw data. It is a tool which refines the data to produce meaningful results and a pathway to better understanding of it.
Some examples of raw data can be population sample which loves to see a particular TV show or a sample of students getting so and so marks in Math test.
Data is analyzed mainly by three different measure of central tendency that is mean, median and mode.
Mean is the average value of given discrete data.Median is the middle value when the data is sorted in ascending or descending order.Mode is the value that has highest frequency.Therefore, Statistics the correct answer.
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find the number of permutations that can be formed from all letters in the word connecticut
A rectangular paperboard measuring 29in long and 20in wide has a semicircle cut out of it, as shown below.
Find the area of the paperboard that remains. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
Here, we are required to find the area of the paper board given after the semicircle is cut out of it
Area of the paper board that remains is 423 in²
Length = 29 in
Width = 20 in
Area of a rectangle = length × width
= 29 in × 20 in
= 580 in²
Area of a semi circle = πr²/2
π = 3.14
r = diameter / 2 = 20 in / 2 = 10 in
Area of a semi circle = πr²/2
= 3.14 × (10 in)² / 2
= 3.14 × 100 in² / 2
= 314 in²/2
= 157 in²
The semicircle is cut out of the rectangle
Find the area of the paper board that remains after the semicircle is cut out of it by subtracting the area of a semi circle from the area of a rectangle
Area of the paper board that remains = Area of a rectangle - Area of a semi circle
= 580 in² - 157 in²
= 423 in²
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A restaurant is doing a special on burgers. If the home team get a sack, the next day, burgers will cost$1
Normally, they cost $3,99. If every fan who attended the game (86,047 people) buys a $1.00 burger, how™
money did the restaurant lose with this discount?
ans: 257,256.59
if it was sold for $3.99
it would have been 86,047 × $3.99 = 343,303.59 and it was sold for $1 instead so automatically it's $86,047
therefore
343, 303.59
-86, 047 which is equal to a loss of $257, 256.59
Solve for the unknown variable
4y-2=8-2y+4y
y=?
Step-by-step explanation:
I hope it helped and it is easy to understand i hope it was helpful
1)4y-2=8-2y+4y
=4y-2y+4y=8-2
2y +4y=8-2
6y+6
12
Laura made $273 for 13 hours of work.
At the same rate, how much would she make for 17 hours of work?
sl
X
$
?
If she wants to earn $91, you would need to divide $91 by 13 to determine the number of hours she needs to work:
$91 /13 = 7 hours
She would have to work 7 hours.
If a = 4 and 5a(2b – 3a) = 40, what is the value of b?
a. 6
b. 7
c. 10
d. 12
Answer:
b=7
Step-by-step explanation:
5a(2b – 3a) = 40
Let a=4
5*4(2b-3*4) = 40
20(2b-12) = 40
Divide each side by 20
20/20 (2b-12) = 40/20
2b-12 =2
Add 12 to each side
2b-12+12 = 2+12
2b = 14
Divide by 2
2b/2 = 14/2
b = 7
What is the surface area of a cone with a slant height of 12.5m and a diameter of 9m? Round to the nearest whole number.
9514 1404 393
Answer:
240 m²
Step-by-step explanation:
The lateral surface area is given by the formula ...
LA = πrs . . . . . cone with radius r and slant height s
The base area is given by the formula ...
BA = πr²
The total surface area is the sum of these:
SA = BA +LA = πr² +πrs = πr(r+s)
The radius is half the diameter, so is 9m/2 = 4.5 m. Then the surface area is ...
SA = π(4.5 m)(4.5 m +12.5 m) = 76.5π m² ≈ 240 m²
Answer:
1: A. 448 2: 209 pi cm^2 3: D. 351 m^2 4. B 240 cm^2 5. C. 561.1 cm^2
Step-by-step explanation:
just took the test!!!
Determine the type of sampling used. A De Anza English instructor randomly selects three EWRT 1A classes and then interviews all students in those three classes to determine the average number of required books for EWRT 1A classes carried by EWRT 1A students at De-Anza College.
this is a random sample because the instructor randomly selected the classes that she wants to use for her interview.
The sampling method used is random sample.
What are sampling methods?To reach substantial inferences from your outcomes, you need to painstakingly conclude how you will choose an example that is illustrative of the gathering in general. A sampling method is the name for this. You can use one of two primary types of sampling methods in your research:
By using random selection in probability sampling, you can draw solid statistical inferences about the entire group.
You can easily collect data with non-probability sampling, which uses non-random selection based on convenience or other criteria.
Given English instructor randomly select 3 classes,
and then interviews all students in those three classes to determine the average number,
Every member of the population has the same chance of being chosen in a straightforward random sample. The entire population should be included in your sampling frame.
You can use techniques that are entirely based on chance or tools like random number generators to carry out this kind of sampling.
The method used is Random sample method.
Hence, Random sample sampling is used.
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The 4th of an AP is 15 and the 9th term is 35. find the 15th term
Consecutive terms in this sequence are separated by a constant c, so if the 4th term is 15, then the next terms would be
5th: 15 + c
6th: (15 + c) + c = 15 + 2c
7th: (15 + 2c) + c = 15 + 3c
and so on. More generally, since any given number in the sequence depends on the number that came before it, we can write the n-th term in terms of the 4th term,
n-th: 15 + (n - 4) c
Then the 9th term in the sequence is
15 + (9 - 4) c = 35
and solving for c gives
15 + 5c = 35 ==> 5c = 20 ==> c = 4
Then the 15th term would be
15 + (15 - 4)×4 = 15 + 11×4 = 15 + 44 = 59
A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute used. Part 1. In January, the total cost for 150 minutes was $ 62 while in February, the total cost for 175 minutes was $ 64 . The constant charge for each minute used is:
a. 0.09
b. 0.1
c. 0.08
Part 2. The fixed montly fee charged by the carrier is;
fee = $__________________
9514 1404 393
Answer:
c. $0.08
fee = $50
Step-by-step explanation:
We are given two ordered pairs:
(minutes, charges) = (150, 62) and (175, 64)
The slope of the graph of charges is ...
m = (y2 -y1)/(x2 -x1) = (64 -62)/(175 -150) = 2/25 = 0.08
The charge for each minute is $0.08.
__
The y-intercept of the graph can be found from ...
b = y -mx
b = 62 -150(0.08) = 62 -12 = 50
The fixed monthly fee is $50.
Find TAN
Instructions: Find the value of the trigonometric ratio. Make
sure to simplify the fraction if needed.
please mark this answer as brainlist
HELPPPP
Find the product of (x + (3+5i))2.
Answer:
Use identities:
(a + b)² = a² + 2ab + b²i² = -1Simplify:
(x + (3 + 5i))² = x² + 2x(3 + 5i) + (3 + 5i)² = x² + 6x + 10xi + 9 + 30i - 25 = x² + 6x + 10xi + 30i - 16Identity used:-
[tex]\boxed{\sf (a+b)^2=a^2+b^2+2ab}[/tex]
Now
[tex]\\ \sf\longmapsto (x+(3+5i))^2[/tex]
[tex]\\ \sf\longmapsto x^2+2x(3+5i)+(3+5i)^2[/tex]
[tex]\\ \sf\longmapsto x^2+6x+10xi+3^2+2(3)(5i)+(5i)^2[/tex]
i^2=-1[tex]\\ \sf\longmapsto x^2+6x+10xi+9+30i-25[/tex]
[tex]\\ \sf\longmapsto x^2+6x+10xi+30i+9-25[/tex]
[tex]\\ \sf\longmapsto x^2+6x+10xi+30i-16[/tex]
The volume of a cylinder varies jointly with the square of its radius and with its height: V=kr2h
Cylinder A has a volume of 254.34 cubic inches and has a radius of 3 inches and a height of 9 inches. What is the volume of cylinder B, which has a radius of 4 inches and a height of 5 inches?
Answer:
v = pi x r^2 x h
3.14 x 16 x 5 =251.2
hope that answers your question
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 192 cm and weights of 38 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x hat= 167.82 cm, y hat= 81.39 kg,
r = 0.101, P-value = 0.317, and y = - 106 + 1.01x.
Required:
a. Find the best predicted value of y (weight) given an adult male who is 189 cm tall. Use a 0.05 significance level.
b. Find the best predicted value of y hat for an adult male who is 189 tall in ____kg.
When an adult is 189cm tall, his predicted weight in kg is 84.89kg
We have y = -106+1.01x. This is the regression equation
the y value represents weight and it is the predicted valuethe X value represents height and it is the predictorwe are to find y(weight) given that x (height) is 189 cm
y = -106 + 1.01x
y = -106+1.01*189
y = -106+190.89
y = 84.89 kg
In conclusion, when height is 189cm, weight is 84.89 kg
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Find the inverse of f(x) = -3 -4/5x
Answer:
-5/4x -15/4 = y
Step-by-step explanation:
y = -3 - 4/5x
To find the inverse, exchange x and y
x = -3 - 4/5 y
Solve for y
Add 3 to each side
x+3 = -4/5y
Multiply each side by -5/4
-5/4(x+3) = -5/4 * -4/5(y)
-5/4x -15/4 = y
Help me plz need the steps
In Figure 7 (open photo), GH is a diameter of the circle. What is
x² + y² ?
A)58
(B) 49
(C) 10
D) 9
(E) It cannot be determined from the information given.
Answer:
[tex]A)58[/tex]
Step-by-step explanation:
[tex][Kindly\ refer\ the\ attachment]\\We\ are\ given:\\GH\ is\ the\ diameter\ of\ the\ circle.\\ Also,\\ GM=3\ units\ and\ MH=7\ units\\From\ the\ figure,\\GH\ subtends\ an\ angle\ at\ two\ points\ specifically\ M\ and\ N\ on\ the\\ arc.\\Now,\\We\ know\ that,\\'The\ Angle\ subtended\ by\ the\ diameter\ anywhere\ over\ the\ arc\ of\ the\\ circle\ is\ always\ 90\ degrees'.\\Hence,\\\angle GMH\ = \angle GNH=90\\[/tex]
[tex]Also,\\Pythagoras\ Theorem\ states\ that: 'In\ a\ right\ triangle,\ the\ sum\ of\ squares\\ \ of\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\ hypotenuse'\\In\ \triangle GMH,\\Since\ \angle GMH=90,\\GM^2+MH^2=GH^2[Through\ Pythagoras\ Theorem]\\Hence,\\Substituting\ GM=3,\ MH=7:\\3^2+7^2=GH^2\\GH^2=9+49=58[/tex]
[tex]Similarly,\\In\ \triangle GNH,\\Since\ \angle GNH=90,\\GN^2+NH^2=GH^2\\Hence,\\Substituting\ GN=x\ and\ NH=y:\\x^2+y^2=GH^2\\x^2+y^2=58[/tex]
The function f is defined by f(x) = 2x^2+5.
Find f(3a)
9cm 4. 5cm 12 см.
find the perimeter and the area of the above figures
If sides are
9cm4.5cm12cm[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]
[tex]\\ \sf\longmapsto Perimeter=9+4.5+12[/tex]
[tex]\\ \sf\longmapsto Perimeter=13.5+12[/tex]
[tex]\\ \sf\longmapsto Perimeter=25.5cm[/tex]
[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\purple{Perimeter\:_{(Triangle) \: \large= \large\:Sum \: of \: all \: sides}}}}}}\end{gathered}[/tex]
Sides of triangle are 9cm , 4.5cm and 12cm.[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:9 \: cm \: + \: 4.5 \: cm \: + \: 12 \: cm[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:13.5 \: cm \: + \: 12 \: cm[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:25.5 \: cm[/tex]
Hence , the perimeter of triangle is 25.5 cm
When I add 45 to a certain number and divide the sum by 2, the result is the same as 5 times the number. What is the number?
Answer:
5
Step-by-step explanation:
(45 + x) / 2
add 45 to a certain number and divide the sum by 2
= 5 × x
is 5 times the number
(45 + x)/2 = 5x
45 + x = 10x
45 = 9x
x = 5
