The solution to the given equation is 4 and -4.
What is a fraction?Fractions are the numerical values that are a part of the whole.
A whole can be an object or a group of objects.
The given equation is;
[tex]\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}[/tex]
A fraction is used to represent the portion/part of the whole thing.
The solution of the fraction is determined in the following steps given below.
[tex]\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}\\\\\rm \dfrac{y(y+4)-4(y-4)}{(y - 4)(y+4)}= \dfrac{32}{(y-4)(y+4)}\\\\y^2+4y-4y+16=32\\\\y^2=32-16\\\\y^2=16\\\\y=\pm 4[/tex]
Hence the solution to the given equation is 4 and -4.
Learn more about fractions here;
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Answer:
A Edge 2022
Step-by-step explanation:
What’s this answer please?
answer:
157.08 square cm (when rounded to hundredths)
unrounded - 157.0796327
Use the distributive property and then simplify the expression.
3(x-8)+6(x+4)
Let's say you want to know how many pages your 10 favorite books have. After checking
your bookshelf, you could simply write down the numbers in a list. But when data is written
as a list of numbers, it can be difficult to make sense of the information. Which book is the
longest, and which is the shortest? Which book is right in the middle?
Showing data visually can help you understand the information you collected. You could
make a bar graph, which would make it easy to see the smallest and largest values of the
data set. But a box plot, often called a box and whisker plot, gives you even more
information than a bar graph. With a box and whisker plot, you can clearly see the smallest
value, the largest value and the median, or the middle value of all the data. You can also see
the interquartile range, or the middle 50 percent of the data.
RDS
ME
According to the passage, why might one choose to use a box and whisker plot instead
of a bar graph?
A
A box and whisker plot shows less information than a bar graph.
B
A box and whisker plot shows more information than a bar graph.
с
Box and whisker plots show data visually, but bar graphs do not.
D
Box and whisker plots have nothing in common with bar graphs.
Considering that we want to find a measure of center of the number of pages in the books, the correct option is:
B A box and whisker plot shows more information than a bar graph.
When to use a bar graph and a box and whisker plot?It we are interest in the extremes of the distribution, that is, the smallest and largest amounts, we use a bar graph.If we are interested in the central measures of the distribution, we use a box and whisker plot, as it contains more information.In this problem, we want to find the average number of pages in the books, which is a measure of center, hence option B is correct.
More can be learned about a box and whisker plot at https://brainly.com/question/12343132
The second term is 5 the fourth term is 12 and the seventh term is 22. 5 what is the first term?
Answer:
3.5
Step-by-step explanation:
each jump will increase 3.5
order: 2 3 4 5 6 7
num: 5 8.5 12 15.8 19 22.5
Psychologists found over 18,000 different traits by compiling those listed in a dictionary.
А.True
В.False
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Scores on an English test are normally distributed with a mean of 68.7 and a standard deviation of 6.2. Find the score which seperates the bottom 64% from the top 36%.
Answer:
70.93
Step-by-step explanation:
Z-score for 100-36 = 64 percentile = +.36 of a S.D. above the mean
.36 * 6.2 + 68.7 = 70.93
An item is listed for $477.00 less 19.66667%, 9%, 7.7% what is the net price?
You have a home with a market value of $144,700, which has an assessment value of 72% of that amount. your city has a property tax rate of 0.039. you know that 65% of your property tax dollars go to public schools. to the nearest dollar, how much of your taxes went to funding schools? a. $4,063 b. $3,668 c. $2,641 d. $6,772 please select the best answer from the choices provided a b c d
Your taxes went to funding schools will be $2641.The tax is divided into different parts based on the percentage.
What is tax?A government-mandated contribution to state revenue is placed on employees' wages and corporate earnings or added to the cost of certain products, services, and transactions.
The given data in the problem is;
The market value of the home = is $144,700
They assessed a value of 72% of that amount.
The city has a property tax rate of 0.039.
The assessment value is found as;
[tex]\$ \ 144,700 \times 0.72 = \$ \ 104,184[/tex]
The tax on the property will be;
[tex]\$ \ 104,184 \times 0.039 = \$ \ 4,063.176[/tex]
The amount which goes to funding schools is;
[tex]\$ \ 4,063.176 \times 0.65= \$ \ 2641.0644[/tex]
Hence your taxes went to funding schools will be $2641.
To learn more about the tax refer to the link;
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Answer:
2641
Step-by-step explanation:
For the function f(x) = −3x + 1, what is the value of f −1(x) for x = 4?
Answer:
-1
Step-by-step explanation:
inverse is -(x-1)/3
-(4-1)/3 is -1
Paula makes two slices through a three-dimensional object. One plane is
parallel to the base; the cross-section is a circle. The other plane is
perpendicular to the base; the cross-section is atriangle. What three-
dimensional shape did Paula cut?
• A. Rectangular prism
O B. Cone
O C. Cube
• D. Cylinder
The answer to your question that you asked is cone or B
Gary is using 96 1 cm cubes to build a rectangular prism he wants the rectangular prisms have a height of 6 cm which of these shows dimensions Garrett cannot you
The dimension Garet must not use to construct the rectangular prism is 10 cm × 2 cm × 6 cm.
He is using 96 1cm cubes to build a rectangular prism . He wants the rectangular prism to have a height of 6 cm.
Volume of a cube?volume of a cube = l³
where
l = side lengthTherefore, each volume of the cube is as follows:
volume of cube = 1³ = 1 cm³
The total volume of the whole 96 cubes = 96 cm³
Therefore, the volume of the rectangular prism should be the same with the volume of the whole cubes. But must have a height of 6cm.
Hence, the dimension that Garret must not use is 10 cm × 2 cm × 6 cm.
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A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its width, w? 2w(2w 5) = 50 2w(w 5) = 50 w(2w 5) = 50 w(w 5) = 50
The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.
What is a rectangle?It has four sides and is a polygon. The internal angle adds up to 360 degrees. The opposite sides of a rectangle are parallel and equal, and each angle is 90 degrees. Its diagonals are equally equal, intersecting in the middle.
A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.
Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).
Then the area of the rectangle is given as
Area = l × w
Then we have
w(2w + 5) = 50
More about the rectangle link is given below.
https://brainly.com/question/10046743
Which function can be used to represent the graphed geometric sequence?
f(x) = 80(One-fourth) Superscript x minus 1
f(x) = 320(One-fourth) Superscript x minus 1
f(x) = 80(4)x – 1
f(x) = 320(4)x – 1
Answer:
A) 80(One-fourth) Superscript x minus 1
Step-by-step explanation:
Used the table function on my calculator. 1/4 of 80 is 20 and 1/4 of 20 is 5. f(1) = 80 f(2) = 20 f(3) = 5 and so on. Hope that made sense!
Answer:
f(x) = 80 [tex](\frac{1}{4}) ^{x-1}[/tex]
Step-by-step explanation:
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
given the points (1, 80 ) , (2, 20 ) , (3, 5 )
then
x | 1 2 3
y | 80 20 5
with a₁ = 80 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{80}[/tex] = [tex]\frac{1}{4}[/tex] , then
f(x) = 80 [tex](\frac{1}{4}) ^{x-1}[/tex]
Juan puts 36,500 milliliters of gasoline in his vehicle. A liter of gasoline costs $1.68.
How much did the gasoline cost?
Enter your answer in the box.
Answer:
$ 61.32
Step-by-step explanation:
36500 ml / 1000ml/l = 36.5 liters
36.5 liters * 1.68 $/liter =
Lindsey purchased one pet carrier that $21.89 and two bags of cat food that cost $16.46 each what was the total cost of these items?
Answer:
[tex]\huge\boxed{\sf \$54.81}[/tex]
Step-by-step explanation:
The cost of pet carrier = $21.89
The cost of 1 bag of cat food = $16.46
The cost of 2 bags of cat food = $16.46 × 2
= $32.92
Total cost:
= $21.89 + $32.92
= $54.81
[tex]\rule[225]{225}{2}[/tex]
[tex] \text{Cost of one pet carrier =}[/tex]$21.89
[tex] \text{Cost of one cat food bag =}[/tex]$16.46
[tex] \therefore \text{Cost of two cat food bag = }[/tex]$16.46×2= $32.92
[tex] \therefore\bold{\underline{Total\:cost}}\text{\:of each items = }[/tex]
$21.89 + $32.92 =[tex] \boxed{\sf \$ \red{54.81}}[/tex]
Hope This HelpsThe volume of Solid A is 28m^3 and the volume of solid B is 1,792m^3. If the solids are similar what is the ratio of the surface are of solid A to the surface area of solid B
The ratio of the surface area of solid A to the surface area of solid B is 1/64
How to calculate the ratio of similar shapesThe volume is the amount of substance an object contains
Given the following parameters
Volume of solid A = 28m^3
Volume of solid B = 1,792m^3.
Calculate the ratio of the surface areaRatio = A/B
Ratio = 28/1792
Ratio = 1/64
Hence the ratio of the surface area of solid A to the surface area of solid B is 1/64
Learn more on similar shapes here: https://brainly.com/question/2644832
How many ways can you choose 5 players from 14
Answer:2002 combinations
Step-by-step explanation:I did the math on my paper
please help, i would really appreciate your help
Answer:
x = 7
Step-by-step explanation:
Since the lines are parallel, we know that the two angles are equal. So you can write (7x - 4) = (5x + 10). Then you just solve for x.
7x - 4 = 5x + 10
add 4 from both sides to get
7x = 5x + 14
subtract 5x from both sides to get
2x = 14
divide both sides by 2 to get
x = 7
Corresponding angles are Same
7x-4=5x+107x-5x=10+42x=14x=14/2x=7What is the value of x? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. x = ft
Answer:
X: 13.3 feet
Step-by-step explanation:
Acute Scalene Triangle
Side N = 13.28283
Side P = 9.35004
Side M = 15
Angle ∠N = 61° = 1.06465 rad
Angle ∠P = 38° = 0.66323 rad
Angle ∠M = 81° = 1.41372 rad = 9/20π
Please help me with this problem! (Scam answers will be reported)
Answer:
C looks good. if u have 2 attempts and c wrong it has to be B
35+(-1)+(-64)+(-8) anwer of this question
Addition
Answer:
[tex]\underline{\boxed{\sf -38}}[/tex]
Step-by-step explanation:
[tex]\sf 35+(-1)+(-64)+(-8)[/tex]
Subtract 1 from 35= 34
[tex]\sf 34-64-8[/tex]
Subtract 64 - 34= -30
[tex]\sf -30-8[/tex]
Subtract 8 - 30 = -38
[tex]\sf -38[/tex] ← Answer
What is an
equation of the line that passes through the points
(1,4) and (3,0)?
Answer:
y = -2x +6
Step-by-step explanation:
Answer number 10 please thank you
8%
have a lovely day/afternoon/night!! <3
find 10 rational numbers between 3/5 and 3/4
Answer:
[tex]\sf\fbox\red{ αղsաҽɾ:-} [/tex]
Ten rational numbers between 3/5 and 3/4 are 121/200, 122/200, 123/200, 124/200, 125/200, 126/200, 127/200, 128/200, 129/200, 130/200.
[tex]\small\fbox{\blue{\underline{mαrk \; mє \; вrαínlíєѕt \; plєαѕє ♥}}} [/tex]
Help
Two walls are 15 feet apart. Two ladders, one
25 feet long and one 18 feet long, are placed at
the bottoms of the walls leaning against the
opposite walls. How far from the ground is the
point where the two ladders cross?
Answer:
im in 6° but it's a computer so I can't tell
constant term of this
what is the volume of this cube? WHO EVER AWNSERS GETS 100 POINTS
Share $420 in the ratio of 2:5:7
Answer:
If you split it up it would be 60, 150, 210
how do you know the order in P.E.M.D.A.S
Answer:
Paranthesis, Exponents, Multipilication, Division, Addition, Subtraction
Step-by-step explanation:
The way I learned it was by saying a phrase that goes like, "Please Excuse My Dear Aunt Sally". I repeated this many times and it got stuck in my mind ever since.
0.905 x 0.234 how do you multiply this? working it out without the decimals then adding the decimal back doesn't give me the correct answer.