Hi Student!
The first step that we need to take before trying to solve the problem is that we need to take out important information from the problem. The first important piece of information that is given to us is that we are trying to find an equation of a line that is parallel to a different line. This means that our slope is going to be the same as the initial line given. The second piece of information that is given is a point through which our line passes through which will help us greatly when solving for our line.
The next step that we must take is to solve for y in the given equation so we can see what the slope is.
Subtract 6x from both sides
[tex]6x + 5y = 1[/tex][tex]6x - 6x + 5y = 1 - 6x[/tex][tex]5y = 1 - 6x[/tex]Divide both sides by 5
[tex]\frac{5y}{5} = \frac{1 - 6x}{5}[/tex][tex]y= \frac{1}{5} - \frac{6x}{5}[/tex][tex]y=- 1.2x+ 0.2[/tex]Now that we have completely solved for y, we can see that the slope is -1.2 using the y = mx + b formula which states that m is the slope.
Moving onto the next step, we must use the point-slope formula to determine what the new equation is that has the same slope and passes through (-4, -2).
Insert the Values
[tex](y-y_1)=m(x-x_1)[/tex][tex](y-(-2))=-1.2(x-(-4))[/tex]Simplify the Equation
[tex]y+2=-1.2(x+4)[/tex]Distribute the Equation
[tex]y+2=(-1.2*x)+(-1.2*4)[/tex][tex]y+2=-1.2x-4.8[/tex]Subtract 2 from both sides (to isolate y)
[tex]y+2 - 2=-1.2x-4.8- 2[/tex][tex]y=-1.2x-6.8[/tex]Therefore, our final answer for the equation of the line parallel to 6x + 5y = 1 and that passes through (-4, -2) is y = -1.2x - 6.8.
A bag contains 3 red and 5 green sweets.
Tim takes a sweet at random and eats it.
He then takes another sweet.
Find the probability that Tim takes 2 red sweets
Answer:
1/7
make sure to remember to remove a sweet when you take the second one, as it has been eaten.
Solve for x: Answer: -13x+8 = -8x - 7 Submit Answe
[tex]-13x+8=-8x-7\\\\8=5x-7\\\\15=5x\\\\3=x[/tex]
the value of x is 3.
Answer: X=3
Step-by-step explanation:
Help me with this question please
Volume of a Cylinder = pi x r^2 x height
diameter = 10, so radius = 5
height = 6
Volume = pi x 5^2 x 6
Volume = pi x 25 x 6
Volume = 150pi
Answer: 150pi cubic feet
Hope this helps!
How do you find area of a figure ?
Length × Width = Area
Answer:
The length x the widith. If there's more then 4 sides I think you just multiply them all together
Step-by-step explanation:
pls pls pls help me i am giving you a ton of points and pls explain how you got the answer.
The expected value of the defective skateboard will be 4/25. Then the correct option is B.
What is probability distribution?Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.
It might be a function, a table, etc.
The table is shown below.
Then the expected value of the defected skateboard will be
p = 0 x 9/10 + 1 x 1/20 + 2 x 1/25 + 3 x 1/100
p = 1/20 + 2/25 + 3/100
p = 5/100 + 8/100 + 3/100
p = 16/100
p = 4/25
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question on similar triangles attatched
Answer:
h = 24 cm
Step-by-step explanation:
The triangles are similar.
Their dimensions are proportional.
Finding scale factor :
DC/AE10/201/2Finding h :
h + h/2 = 363h/2 = 363h = 72h = 24 cmThe mean number wins of a team is 37 wins that is normally distributed. The standard deviation is 3 wins. What would be the sections that are one standard deviation from the mean? Select all that apply.
31
34
37
40
43
Using the normal distribution, it is found that the sections that are one standard deviation from the mean are 34 and 40.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 37, \sigma = 3[/tex]
The measures that are one standard deviation from the mean are given by X when Z = -1 and Z = 1, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1 = \frac{X - 37}{3}[/tex]
X - 37 = -3
X = 34
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1 = \frac{X - 37}{3}[/tex]
X - 37 = 3
X = 40
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Which of the following expressions is equivalent to ab2 + 6ab + 7a3 – 14a?
Answer:
−4a^2+2ab+8a
Step-by-step explanation:
−4a^2+2ab+8a is expressions of equivalent to ab2 + 6ab + 7a3 – 14a.
Which expression is equivalent to st6?1 Answer. s(6) × t(6) is equivalent to (st)(6).
Which expression is equivalent to FG )( 4 )?Thus, the expression (f + g)(4) is equal to f(4) + g(4).
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NEED HELP PLEASE ANSWER ASAP! (45)
Answer:
45. (4) (2, 2)
Step-by-step explanation:
Question 45
Equate the equationsx = x² - 2x² - x = 2x(x - 1) = 2Solutions
x = 2x - 1 = 2 ⇒ x = 3We'll take x = 2 as no options with x = 3 are listed.
y = xy = 2Ordered pair
(x, y)(4) (2, 2)How many different 6-digit numbers can you write using each of the digits 0, 1, 2, 3,
4, 5 exactly once?
really need help please please help
Answer:
1000,000 2.0 77,255,0,0.84831,0,0,0 45,24 27,14 27,34Step-by-step explanation:
Thanks Okay
Solve the system of equations below using the linear combination method (elimination). Then, check your work.
x-2y=2
x-y=6
Answer: Solution- (10,4)
Step-by-step explanation:
x-2y=2 x-y=6 x-2(4)=2
-1(x-y=6) x-8=2
-x+y=-6 +8 +8
x=10
x-2y=2
-x+y=-6 10-2(4)=2
-y=-4 10-8=2
-1 -1 2=2
y=4
Regardless of how the graph is oriented in the standard
(x,y) coordinate plane, NO graph in one of the
following categories has a vertical line of symmetry.
Which one?
F. Line
G. Square
H. Pentagon
J. Parallelogram
K. Scalene triangle
Answer:
the answer is j because it's impossible to draw a line through the center of any parallelogram that divides the figure into two equal halves that are mirror images of each other
Out of the given options, the shape that does not have a vertical line of symmetry is J. Parallelogram.
The correct answer is J. Parallelogram.
A vertical line of symmetry means that if a line is drawn vertically through the shape, the two halves will be mirror images of each other.
In the case of a line (F), it is one-dimensional and does not have an area, so it does not have any symmetry.
A square (G) has four sides of equal length and four right angles. It has both vertical and horizontal lines of symmetry, dividing it into four congruent quadrants.
A pentagon (H) is a five-sided polygon. Depending on its shape and orientation, it may or may not have a vertical line of symmetry. For example, a regular pentagon does have a vertical line of symmetry, while an irregular pentagon may not.
A parallelogram (J) is a four-sided polygon with opposite sides that are parallel and equal in length. It does not have a vertical line of symmetry because its opposite sides are not mirror images of each other.
A scalene triangle (K) is a triangle with no equal sides or equal angles. It does not have a vertical line of symmetry because its sides and angles are not symmetric.
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A cube-shaped aquarium has edges that are 1.75 ft long. the aquarium is filled with water that has a density of 72" lb/f" "t" ^3.
(a) should the aquarium be placed on a table that can support a maximum weight of 150 lb? explain why or why not.
(b) would the density of the water change if the aquarium was only half full? explain.
Answer:
No and the density changes along with the weight.
Answer:
(a) No. The weight is more than 150 lb.
(b) No. Density is not a function of volume.
Step-by-step explanation:
The weight of the aquarium is the product of the volume and the density of the contents.
(a)The volume of the aquarium is the product of its dimensions:
V = LWH = (1.75 ft)(1.75 ft)(1.75 ft) = 1.75³ ft³ = 5.359375 ft³
The weight of its contents, at 72 lb/ft³ will be ...
(72 lb/ft³)(5.359375 ft³) = 385.875 lb
The aquarium should not be placed on the table. The weight of the aquarium is too great for the load limit of the table.
__
(b)The density of water is the ratio of its mass to its volume. Density does not change with depth or volume. It is essentially constant. (Water is considered to be virtually incompressible. Its density changes slightly with temperature,)
No, the density of the water would not change.
_____
Additional comments
The half-full aquarium would weigh about 385.875/2 lb ≈ 194 lb. This is still too heavy for the table.
The density of water is actually about 62.4 lb/ft³. We assume the extra 10 lb/ft³ might take into account the weight of the aquarium and any gravel or other non-water content.
Which inequality has an open circle when it is graphed on a number line?
x greater-than three-fifths
StartFraction 4 over 7 EndFraction greater-than-or-equal-to x
x less-than-or-equal-to 12
x greater-than-or-equal-to negative 6
Answer:
A.) X greater than 3/5
Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
The correct inequality that has an open circle when it is graphed on a number line is,
1) x greater-than three-fifths
We have to given that,
All the expressions are,
1) x greater-than three-fifths
2) Start Fraction 4 over 7 End Fraction greater-than-or-equal-to x
3) x less-than-or-equal-to 12
4) x greater-than-or-equal-to negative 6.
We can write all the inequality as,
1) x greater-than three-fifths
⇒ x > 3/5
Since, it has symbol '>' which represent open circle.
Hence, It is true.
2) Start Fraction 4 over 7 End Fraction greater-than-or-equal-to x.
4/7 ≥ x
Since, it has symbol '≥' which represent closed circle.
Hence, It is not true.
3) x less-than-or-equal-to 12
x ≤ 12
Since, it has symbol '≥' which represent closed circle.
Hence, It is not true.
4) x greater-than-or-equal-to negative 6.
x ≥ - 6
Since, it has symbol '≥' which represent closed circle.
Hence, It is not true.
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Overall, about how many students prefer literature (poems, plays, or novels)?
I need help i sent in the graph
Answer:
3/8 or 37.5 percent, if there were 200 students there would be 75 students who enjoy literature.
A cone has a radius of 2 feet and a height of 6 feet. How many cones of liquid would it take to fill a cylinder with a diameter of 4 feet and a height of 6 feet? Complete the explanation. The radius of the cylinder is the same as the radius of the cone. The height of the cylinder is double the height of the cone. So, it will take cones to equal the volume of the cylinder.
Answer:
17 3/4 feet.
Step-by-step explan
What's the sequence and drawing scheme of f(x)=x^(1/3)?
The ratio of cats to dogs is
4:5. If there are 20 dogs,
how many cats are there?
29
Answer:
16
Step-by-step explanation:
Since the common ratio between cats and dogs is 4:5. We want to know cat and dogs in the ratio X:20. Thus, we can set up the equation as 4/5=X/50. Cross multiplication gets us 80=5X Solving for we get that 80/5 =X....16 =X Now, we know that the number of cats there are is 16
(3,-3) and (2,-6) as a linear equation in y=mx+b form
Answer:
y=3x-12
Step-by-step explanation:
We need to find the m of y = mx+b which is the slope:
-3-(-6)/3-2 = 3 as our slope
We know have y = 3x+b.
If we keep applying slope to the point (2,-6) and go downwards. We hit (0,-12). That's our y intercept. So we replace b with our y intercept which is -12. We know get y = 3x-12
Lets see if you know grade school math!! There were 22 bales of hay to be placed into 6 different tractors. what amount of hay would be placed in each tractor?
Answer:
22 divided by 6 is about 3.67
Step-by-step explanation:
Emma has a mask collection. she keeps 190 of the masks on her wall, which is 38% of her entire collection. what is the total number of masks in emma's collection?
Answer:
262 Masks
Step-by-step explanation:
190×0.38=72.2 but there cannot be 0.2 masks so it becomes 72. 190+72=262.
The total number of masks in Emma's collection is 262 Masks.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Emma has a mask collection. she keeps 190 of the masks on her wall, which is 38% of her entire collection.
The total number of masks will be calculated as,
190×0.38=72.2
But there cannot be 0.2 masks so it becomes 72.
Total mask = 190+72
Total mask =262.
Therefore, the total number of masks in Emma's collection is 262 Masks.
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help me with this pls
Answer:
a. 1 triangle
Step-by-step explanation:
measure line QS=8.cm measure 85°on side Q
Answer:
will construct 1 triangle
Step-by-step explanation:
construct a line of Q to S 8cm
SQR let the angle stay in the middle of the letter (Q)
Q to R is 5cm
Find the first four terms of the sequence given a = 31 and an+1 = an - 3.
A. 31, 26, 23, 20
B. 31, 28, 25, 22
C.31, 25, 22, 19
D. 31, 27, 26, 25
If anyone can help me with this, please feel free to answer
Pam has 15 candies in a jar, her sister threw in some more ( the ones she doesn’t like) and now Pam has 27. Write an equation to determine how many candies ( x) her sister put in the jar. Solve using both inverse operations and balance scale.
Answer:
Step-by-step explanation:
Number of candies that her sister gave = x
Total candies that Pam has now = 27
x + 15 = 27
Inverse operation:
x + 15 = 27
x + 15 - 15 = 27 - 15
x = 12
Answer:
Equations :
27 - 15 = x
15 + x = 27
Step-by-step explanation:
So, we know that 1. Pam starts with 15 candies. and 2. Pam ends up having 27 candies. This means, that she gained candy.
To figure out how many candies her sister gave, her, we have to find the difference between 27 and 15 becuase she goes from having 15 to having 27 after her sister had given some.
x will represent how many cadies Pams' sister had given her :
27 - 15 = x
12 = x
This means Pams' sister gave 12 candies to Pam. To make sure we are correct, we can simply start with how many candies Pam started with (15). And add how many we think her sister added (12)
15 + 12
15 + 12 = 27
Therefore proving, and meaning, that Pams' sister gave her 12 candies.
Possible Equations :
27 - 15 = x
End total (27) minus starting total (15).
15 + x = 27
Starting total (15) plus how many she gained (x) equal to end total (27).
Please someone answer quick ( will give brainlessly)!!!!
Answer:
Step-by-step explanation:
For the length of AC
cosθ = 14/17
θ = arcCos 14/17
θ = 34.56
Let x = opposite
cot34.56 = 14/x
1.45=14/x
x1.45 = 14
x = 9.66
therefore, the length of AC is 9.66
For angle B is 34.56
For angle C is 55.44
For Angle C :
90 + c + 34.56 = 180
c = 180 - 124.56
c = 55.44
Need to be sure. The area of a circle is 9409pi square centimeters. Find the length of the radius. Round to the nearest whole number. I wrote the answer down but I'm not sure if I did it right.
Hi Student!
Looking at the question, lets extract the important values and information that we believe will be important for this problem. First of all, we are given the area of a circle which is 9409π and we are told to find the radius (rounding it to the nearest whole number).
Now that we have gathered our information, we can move onto the part of solving for the unknown using the area of a circle formula. We can do this by just plugging in the information that we have and solving for r which is the radius.
Plug in the values
[tex]A = \pi\ *\ r^2[/tex][tex]9409\pi\ cm^2= \pi\ *\ r^2[/tex]Divide both sides by pi to get r^2 by itself
[tex]\frac{9409\pi\ cm^2}{\pi}= \frac{\pi\ *\ r^2}{\pi}[/tex][tex]9409\ cm^2= \ r^2}[/tex]Square root both sides to get down to just r
[tex]\sqrt{9409\ cm^2}= \sqrt{\ r^2}[/tex][tex]97\ cm= r[/tex]Therefore, our final answer is that the length of the radius is 97 centimeters which we were able to find using the area and the area of a circle formula.
hi can you ya'll help me
Step-by-step explanation:
[tex]3 \sqrt{3 \:} + \sqrt{3} [/tex]
Simplify,then combine each:
[tex] = 4 \sqrt{3} [/tex]
or
[tex]3 \sqrt{3 \:} + \sqrt{3} [/tex]
=5.196+1.732
=6.928
[tex] \approx6.930[/tex]
PLEASE HELP MEEEEE I DONT LIKE PI
Answer:
I did the work and uploaded the picture i hope it helped!!
A triangle has sides with lengths of 30 millimeters, 40 millimeters, and 48 millimeters. Is it a
right triangle?
yes
no
Answer:
No, because a right angle must not have the least 90°/. degrees c