c. y=6x direct variation
Answer:
the table represent a direct variation
Step-by-step explanation:
as when x=1
y=2
and
x=10
y=60
Answer:
y = 6x direct variation
Step-by-step explanation:
Remember that direct variation is y = kx and inverse variation is y = k/x where k is a constant
x= 1 2 5 10
y= 6 12 30 60
First look at direct y = kx solving for k y/x =k
y/x from the table is 6/1 =6 12/2 = 6 30/5 =6 60/10 =6 so k=6
This is a direct variation with k=6
y = 6x
3/4x + 12 =48 what is the value of ' x '
Answer:
3/4x + 12 =48
3/4x=36
x=48
Someone help please struggling on this answer thank you so much!
Answer:
-x+8=6
Step-by-step explanation:
x+5-1(2x)+(-1)(-3)=6
x+5-1-2x+3=6
ans (-x+8=6)
x+8
What is the 30th term of the linear sequence below?
-4,-1,2,5,8
Answer:
83
Step-by-step explanation:
a_1 = -4
a_2 = -1
a_2 - a1 = -1 - (-4) = 3
Each new term is 3 added to the previous term.
a_n = a_1 + 3(n - 1)
Test: Let's find the 4th term and see if we get a_4 = 5.
a_4 = a_1 + 3(4 - 1) = -4 + 3(3) = -4 + 9 = 5
We see that the 4th term really is equal to 5.
a_30 = a_1 + 3(30 - 1) = -4 + 3(29) = -4 + 87 = 83
Question
2x + 3y = 11
x – 3y =1
What is the solution (x, y) to the given system of equations?
O (4,0)
O (4,1)
O (12,8)
O (12, 10)
Answer: (4, 1)
Step-by-step explanation:
Let's solve this by adding the equations
2x+3y=11
+x-3y=1
3x=12
Now we can solve
[tex]\frac{3x}{3} =\frac{12}{3} \\x=4[/tex]
Now that we know x=4 it can only be the first to options. Let's sub in the value of x to one of the original equations to find the value of y.
[tex]2(4)-3y=11\\8+3y=11\\8+3y-8=11-8\\\\3y=3\\\frac{3y}{3} =\frac{3}{3} \\y=1[/tex]
The answer is (4, 1)
Question 3 of 10
In the diagram below, Ed is parallel to Xy. What is the value of x?
The value of y will be 75°. The correct option is C.
What are lines and angles?Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.
A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.
Given that the two parallel lines are DE and XY. The angle y will be calculated as,
y = 180 - 105
y = 75°
Hence, the measure of the angle y is 75°
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which of the two rational numbers 3/5 and -2/3 is greater
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path?
Answer:
8
Step-by-step explanation:
If Miguel's house is (0,0), then the tennis court is (-3,-2), and the bike path is (5,-2). There fore, we can just count the squares between the tennis court and the bike path, which is 8.
Hope that this helps!
From the coordinate calculation, here tennis courts are 8 blocks far from the bike path.
Given that,
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path is to be detemined.
Coordinate, is represented as the values on the x-axis and the y-axis of the graph.
Here on the graph,
Assume that Miguel's house is (0,0),
then accoding to the question the tennis court is (-3,-2), and the bike path is (5,-2).
Now, difference in the position dx = 5 - (-3)
= 8
Thus, from the coordinate calculation, here tennis courts are 8 blocks far from the bike path.
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factorise the following (a+b)⁴-(a-b)⁴
Answer:
hope it is helpful to you
this is another answer
sorry for bad handwriting
actually its my sista handwriting
3 / 1/3 dividend by 1 / 1/5
can some one pls help me with this i need help
Answer:
9/8 cup peanuts were used
The amounts are:
Correct
Correct
Incorrect
Which is equivalent to
1/4x
Answer:
1/4x is basically x divided by 4/multiplied by 1/4
this can be applied in examples such as:
1/4(2) = 0.5
etc.
Step-by-step explanation:
i hope this helped, if not, please leave a comment specifically requiring what exactly you are stuck with.
Answer:
1/8x+1/8x
Step-by-step explanation:
Need help immediately
A sum of money is to be divided among A, B and C in the ratio 2:3:5. The smallest share amounts to $210.
Calculate:
i. The total sum of money to be shared
ii. C’s share
iii. B’s share
Answer:
Step-by-step explanation:
If A, B, and C are in the ratio of 2:3:5 and they are each getting some amount of money in that ratio, then to find the total amount of money they split is found in Ax + Bx + Cx and we need to solve for x. What we are told is that the smallest share = 210 and obviously A is the smallest share. Therefore,
2x = 210 and x = 105.
The total sum = 210 + 3(105) + 5(105) so
Total sum = 210 + 315 + 525
Total sum = 1050 and
C's share is 525 and
B's share is 315
What is the measure of x?
Answer:
x = 10
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
4*x = 5*8
4x = 40
Divide by 4
4x/4 = 40/4
x = 10
A child weighs 44 lbs. The physician orders a medication for 10 mg/Kg/day. What do you give per day? (Use 0.45 for your conversion
Answer:
198 mg
Step-by-step explanation:
A child weighs 44 lbs.
Step 1
We convert the child's weight to kg
1 Ibs = 0.45kg
44 Ibs = x
Cross Multiply
1 Ibs × x = 44 Ibs × 0.45 kg
x = 44 Ibs × 0.45 kg/1 Ibs
x = 19.8 kg
Step 2
The physician orders a medication for 10 mg/Kg/day.
From the above statement, we know that:
10mg = 1 kg
Hence, what you give per day is calculated as:
1 kg = 10 mg
19.8kg = x
Cross Multiply
1 kg × x = 19.8kg × 10mg
x = 19.8kg × 10mg/1kg
x = 198mg
Therefore, what you will give per day to a child of 19.8kg(44 Ibs) is 198mg per day
Homework June 10th 2021 Jim
Problem 1
Part (a)
It is possible to find the equation of the line of best fit by hand, but it's much more efficient to use technology. That could mean a graphing calculator, an online tool, or some computer software installed. I'm going to use GeoGebra. Specifically, I'm using the "FitLine" command to find the regression line.
The equation of line of best fit is y = -2.45x + 11.83
There's not much to say in terms of steps, since it's basically a calculator problem. Doing this by hand would take a lot longer than it should be.
------------
Part (b)
Plug in x = 2.3 and evaluate
y = -2.45x + 11.83
y = -2.45*2.3 + 11.83
y = 6.195
Answer: 6.195
-------------
Part (c)
We'll compare the result from the previous part (6.195) to the y value in the table (6.2)
The difference is 6.2 - 6.195 = 0.005
This means the estimated value is off by 0.005 and this is an underestimate (since 6.195 is smaller than 6.2)
===================================================
Problem 2
To be perfectly honest, I'm not sure what's going on here. It seems like there's missing context to the problem. Perhaps a data table that got cut off or this is referring to a previous problem.
===================================================
Problem 3
Recall that y = mx+b is the slope intercept form
m = slope
b = y intercept
We simply read off the values of the given equation y = 0.404x - 5.18 to see that 0.404 is the slope and -5.18 is the y intercept
The slope tells us that each time x goes up by 1, y will increase by an estimated amount of 0.404; this represents the unit rate or speed. In this context, it means the height goes up by about 0.404 cm per day. This is an estimated value because the regression line itself is a collection of estimated points.
The y intercept is where the graph crosses the y axis. It always occurs when x = 0. The x refers to the day number. Day 0 is basically the starting day. So the y intercept being -5.18 means the estimated height is -5.18 cm on the starting day. At first glance, it might not seem possible to have a negative height. But simply think of negative heights as below ground level, much like how the negative y values are below the x axis.
In other words, the plant is estimated to start off at about 5.18 cm below ground level. This is a reasonable assumption because the seed is buried into the ground (assuming at this level more or less) and it then grows upward.
Hi, does anyone know the answer to this question? I’m bad at geometry and I’m struggling to answer it.
Answer:
QT = 16
Step-by-step explanation:
ΔQRS ~ ΔQRT
In similar triangles, corresponding angles are in same ratio.
[tex]\frac{QS}{QR}=\frac{QR}{QT}\\\\\frac{25}{20}=\frac{20}{QT}[/tex]
Cross multiply,
QT * 25 = 20 * 20
[tex]QT =\frac{20*20}{25}\\\\QT = 4*4\\\\QT = 16[/tex]
Please could someone help me?
Answer:
C
Step-by-step explanation: 6 23 17 16
15 is the highest value
Answer:
7:00 pm
Step-by-step explanation:
Mode - Result that appears the most
15 people said they preferred the time 7pm. 15 is the largest number out of the given data
So the mode is 7pm
44
Match each ratio with its simplest form.
12:15
20:36
18:24
Pls answer ASAP I need to finish this today and I’m stuck
Find the median of the following data 8,6,10,12,14
Answer:
10
Step-by-step explanation:
medium is the number in the middle when all numbers are arranged in ascending order.
Answer:
10
Step-by-step explanation:
first arrange the data from ascending to descending order.
data = 6,8,10,12,14
median = N +1/2 (N means no of data)
=5 + 1/2
=6/2
=3 th term
=10
therefore median is 10
point to remember : if u are are to find the first quartile , median , or third quartile then u should arrange the data from ascending to descending order .
HELPP PLS ASAP I NEED HELP
Answer:
Option (b) second one is the correct answer
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
B
Step-by-step explanation:
√256=16
√289=17
Answer:
b.√256 and √289 . play basketball
A wire attached to the top of a pole reaches a stake in the ground 20 feet from the foot of the pole and makes an angle of 58° with the ground. Find the length of the wire.
2) Simplify: 4/3+3/5+-3/5+-11/3
Answer:
[tex]\frac{4}{3}+\frac{3}{5}+-\frac{3}{5}+-\frac{11}{3}[/tex][tex]=\frac{4}{3}-\frac{11}{3}[/tex][tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex][tex]=\frac{4-11}{3}[/tex][tex]\:4-11=-7[/tex][tex]=\frac{-7}{3}[/tex][tex]\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex][tex]\frac{-a}{b}=-\frac{a}{b}[/tex][tex]\frac{-7}{3}[/tex][tex]=-\frac{7}{3}[/tex]---------------------[tex]\boxed{\boxed{\underline{\textsf{\textbf{hope it helps}}}}}[/tex][tex]\boxed{\boxed{\underline{\textsf{\textbf{have a great day!}}}}}[/tex]two rectangles have a scale factor of 4:1. If the area of the larger rectangle is 156cm^2, what is the area of the smaller rectangle?
A. 26.75 cm^2
B. 31 cm^2
C. 9.75 cm^2
D. 39 cm^2
Answer:
c=9.75cm^2
Step-by-step explanation:
156/16 because you are deivding each side by 4 and 4x4=16 and the area is 156
please help me immediately
Answer:
zero of a polynomial can be defined as the points where the polynomial become 0 as a whole.
An equation formed with variables, exponents and coefficient together with operation and an equal sign is called polynomial equation.
I hope this will help you
Point G is located at (6, 2) on the coordinate plane. Point G is reflected over the y -axis to create point G^ prime . What ordered pair describes the location of G?
Answer:
The ordered pair that best describes the location of G' is (-6,2).
Step-by-step explanation:
Reflecting a point over the y-axis:
When a point (x,y) is reflected over the y-axis, it's x coordinate is multiplied by -1, while the y-coordinate stays the same. Thus:
(x,y) -> (-x,y).
Point G is located at (6, 2)
When reflected over the y-axis:
G'(-6,2).
The ordered pair that best describes the location of G' is (-6,2).
A circle has a radius of 18 ft and an arc length of 117. What is the measure of the central angle of
the circle?
if you know the answer please help me ese
Answer:
Domain { 4,8,12,16,20}
Range { 1,2,3,4}
This is not a function because two of the inputs have more than one output
Step-by-step explanation:
The domain is the x values ( input)
Domain { 4,8,12,16,20}
The range is the y values (output)
Range { 1,2,3,4}
This is not a function because two of the inputs have more than one output
What is the best name for the figure with vertices at the following coordinates?
(0,0), (-1, 1), (6, 1), and (2, 0)
A.
rectangle
B.
square
C.
trapezoid
D.
rhombus
Answer: C) Trapezoid
Refer to the figure below. Note how sides BC and AD are parallel. We have exactly one pair of parallel sides, so that's why we have a trapezoid.
The figure with the vertices (0,0), (-1, 1), (6, 1), and (2, 0) is a trapezoid
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the coordinates of the figure be represented as ABCD
Now , the vertices of the figure is
A ( 0 , 0 ) , B ( -1 , 1 ) , C ( 6 , 1 ) and D ( 2 , 0 )
On plotting the coordinates in the graph , we get a trapezoid with
The longer base = BC
The shorter base = AD
So , the figure is a trapezoid
Hence , the vertices represents a trapezoid
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Jaclyn used the slope formula to find the slope of the line through the points given in the table.
A 2-column table with 2 rows. Column 1 is labeled x with entries 0, negative 3. Column 2 is labeled y with entries 4, 0.
1. Point 1: (0, 4); Point 2: (negative 3, 0). 2. Slope = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction = StartFraction 0 minus 4 Over negative 3 minus 0 EndFraction = StartFraction negative 4 Over negative 3 EndFraction. 3. Slope = four-thirds.
In which step did Jaclyn make an error?
Answer: She didn't make an error.
Step-by-step explanation:
She just didn't I got it right.
Answer:
answer is D
Step-by-step explanation:
