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Given:
The expression is:
[tex]\dfrac{15m^2-3}{3m-1}[/tex]
To find:
The simplified value of the given expression.
Solution:
We have,
[tex]\dfrac{15m^2-3}{3m-1}[/tex]
On dividing, we get
[tex](3m-1)|\overline{15m^2+0m-3}|5m+\dfrac{5}{3}[/tex]
[tex]-(15m^2-5m)[/tex]
[tex]\overline{\quad \quad -5m-3}[/tex]
[tex]-(5m-\dfrac{5}{3})[/tex]
[tex]\overline{\quad \quad -\dfrac{4}{3}}[/tex]
Here, quotient is [tex]5m+\dfrac{5}{3}[/tex] and the remainder is [tex]-\dfrac{4}{3}[/tex].
Therefore, [tex]\dfrac{15m^2-3}{3m-1}=5m+\dfrac{5}{3}-\dfrac{4}{3(3m-1)}[/tex].
A rectangle has an area of 24 square units and a side length of 2 3/4 units. Fnd the other side length of the rectangle .
a. 8 8/11
b. 10 4/11
c. 9 7/11
Answer:
c
Step-by-step explanation:
ill mark brainliest, question is attached
Answer:
v = 7
Step-by-step explanation:
So, I used a go.ogle calculator for this, so I don't evidence, but here
hope this helps:)
Answer:
v=7
Step-by-step explanation:
[tex]3(3v-4)=51\\9v-12=51\\9v=51+12\\9v=63\\v=\frac{63}{9}\\v=7[/tex]
help plz due 20 min ill give brainliest
Answer:
Given: BC || AD and AB || CD. Prove: AB = CD. Complete the ... 4. 5. △ABC ≅ △CDA. 5. 6. AB = CD. 6. ______ a) Transitive Property b) Given c) CPCTC.
Step-by-step explanation:
Trey has a bookcase with 8 shelves. Each shelf has 40 books. How many books are in the bookcase
Answer:
8x40=320
Step-by-step explanation:
According to the given question we can infer that here are 320 books in the bookcase.
If Trey has a bookcase with 8 shelves, and each shelf has 40 books, the total number of books in the bookcase can be calculated by multiplying the number of shelves by the number of books per shelf.
Total number of books = Number of shelves × Number of books per shelf
Total number of books = 8 shelves × 40 books per shelf
Calculating the multiplication:
Total number of books = 320 books
Therefore, there are 320 books in the bookcase.
To know more about multiplication here
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what the answer for Q 1 and 2
Answer:
yung 70
Step-by-step explanation:
i hope its help
carry on learning
ok 1502837598758623875 x 9364876408763o17360876356217356
Answer:
1.4073888e+48
Step-by-step explanation:
Please help me i need to turn this in by the end of the day
Answer:
n must be greater than 5 for the product to be greater than 10.
Step-by-step explanation:
10 times 2/5 = 4 (no)
10 times 6/5 = 12 (yes)
10 times 5/5 = 10 (no)
Answer:
The 3rd one I believe
Step-by-step explanation:
solve in area formula
Express 3.813 as a mixed number
Answer:
3*81/100
Step-by-step explanation:
Find the Surface Area of the Square Pyramid.
Answer:
279 in.²
Step-by-step explanation:
square: 9 × 9 = 81
the 4 congruent triangles: 9 × 11 ÷ 2 = 49.5, 49.5 × 4 = 198
square + 4 congruent triangles = 81 + 198 = 279
A big league pitching coach tries to limit his pitchers to 110 pitches per game. If the pitcher has
already thrown 52 pitches, write and solve an inequality to find how many more pitches he can
throw before reaching the limit.*
Type your inequality AND your answer as a sentence.
The pitcher can throw 58 until he reaches the limit, hopefully I helped :)
Write an equivalent expression.
−2(7+6g)
Choose the correct answer below.
A.
−2(7+6g)=6g−14
B.
−2(7+6g)=−2−12g
C.
−2(7+6g)=−14+6g
D.
−2(7+6g)=−14−12
Answer:
Given
−2(7+6g)Distribute:
-2(7) - 2(6g) = -14 - 12gIt should be D but it is missing g at the end, must be typo
Answer:
−2(7+6g) = -14 - 12g
________________
The dot plot shows the number of hours that students spent watching TV.
Select all the statements that are true.
A. A typical student from this group spends more than 10 hours watching television each week.
B. More students watch 3 hours of television than watch more than 3 hours of television.
C. All students watch 20 or fewer hours of television each week.
D. The most common answer for the number of hours that a student watches per week was 3.
E. Some students do not watch any TV during the week.
Answer:
B C and D
Step-by-step explanation:
common sense
If the simple interest on a sum of money at 5% per annum for 3 years is $
1200, then the compound interest on the same sum for the same period
at the same rate will be .........
*
Answer:
$1207.96
Step-by-step explanation:
The accumulated value for simple interest is defined by the following formula:
FV=PV(1+it)
we have (where x is the present value or PV)
1200= x(1+.05*3)
Solve for x
1200=1.15x
x=1043.478261
We now need to use the equation for annually compounding interest
[tex]FV=PV(1+i)^t[/tex]
We have
[tex]1043.4782(1+.05)^3\\1207.956522[/tex]
which rounds to
$1207.96
Danielle earns a 7.5% commission on everything she sells at the electronics store where she works. How much commission did she earn last week if she sold $3,500 in electronics merchandise?
Answer:
$262.5
Step-by-step explanation:
Given data
Commission earned= 7.5%
Sales for last week= $3,500
Let us find the amount of the commission
=7.5/100* 3500
=0.075*3500
=$262.5
Hence the commission earned last week is
$262.5
Find the area of each.2)18in A)64 B)49 C)81 D)100
Answer: It's C
Step-by-step explanation:
Cole has a can of marbles. NEED HELP It would mean so much to me.
Answer:
C
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Please help its due soon ill give brainlest
If y = 160 (2x) , what is y if x = 2?
No Files or links. Just the answer.
Answer:
640
Step-by-step explanation:
hope that helps you out
Which of the following is not a career in environmental science? a. Hydrologist b. Toxicologist c. Physiologist d. Ecologist Please select the best answer from the choices provided
Answer:
C
Step-by-step explanation:
No doubt thats the correct answer guys, thank me later
The volume of a sphere is 11,488.21 .To the nearest yard, what is the radius of the sphere? Use 3.14 for
Answer:
The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere
Which of the following shows the equation log Subscript 4 Baseline (x + 6) = 2 rewritten using logarithms?
Answer: The answer is c log4(x+6)=log4 16
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
24 What is 0.64 rounded to the tenths place? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
0.6 is the answer hope this helps
have a nice day bye
What is the formula base x height =area like what is that shape of base x height =area
Answer: Formula: ½ x base x height or ½ b x h or ½ bh The base is measured by length The height is measured by length The height and the base must form a 900 angle. 900 angle is a right angle.
Step-by-step explanation:
Is the relationship between the variables a direct variation, an inverse variation or neither? If there is a variation write the function rule, where x is 2,3,4,5 y = 9,6,4.5,3.6
Answer:
Indirect variation
Rule: [tex]y = \frac{18}{x}[/tex]
Step-by-step explanation:
Given
[tex]x \to 2,3,4,5[/tex]
[tex]y \to 9,6,4.5,3.6[/tex]
Required
Determine the type of variation
For direct variation, we have:
y increases, as x increases
In the above function, y decreases, as x increases
Hence, it is not a direct variation
Indirect variation.
In an indirect variation, y decreases, as x increases
And the equation is given as:
[tex]y = \frac{k}{x}[/tex]
Make k the subject
[tex]k =xy[/tex]
Where k is the constant of variation.
For:
[tex](x,y) = (2,9)[/tex]
[tex]k = 2 * 9 = 18[/tex]
For:
[tex](x,y) = (3,6)[/tex]
[tex]k = 3 * 6 = 18[/tex]
For every other values;
[tex]k = x * y = 18[/tex]
Hence, it is an indirect variation.
The rule is:
[tex]y = \frac{k}{x}[/tex]
Substitute 18 for k
[tex]y = \frac{18}{x}[/tex]
Delta Math Help!!!
Triangle proofs help. I’ve gotten this far, but I have no idea what to do next!!
The triangle ΔBAD is congruent to the triangle ΔCDA by SSS postulates.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
If the corresponding sides of the triangles are equal. Then the triangles will be a congruent triangles. And it is known as SSS postulates.
BD = AC and AB = CD
In triangles ΔBAD and ΔCDA, we have
BD = AC (Given)
AB = CD (Given)
AD = AD (Common side)
Then the triangle ΔBAD is compatible with the triangle ΔCDA by SSS proposes.
More about the triangle link is given below.
https://brainly.com/question/25813512
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Una bacteria se divide en dos cada 6 minutos Si a las 12:15 horas se coloca una bacteria en un recipiente¿ A que hora habrá 128 bacterias en el recipiente?
Answer:
A las 12:57 horas habrá 128 bacterias en el recipiente.
Step-by-step explanation:
Una función exponencial es aquella en que la variable independiente x aparece en el exponente y tiene de base una constante a. Su expresión es:
f(x)= aˣ
Siendo a un real positivo, a > 0, y diferente de 1.
Cuando 0 < a < 1, entonces la función exponencial es una función decreciente y cuando a > 1, es una función creciente.
Algunos tipos de bacterias se reproducen por "mitosis", dividiéndose la célula en dos cada espacios de tiempo pequeños, como sucede en este caso. Entonces, "a" tendrá un valor de 2, que es la cantidad en la que se divide la bacteria, y "x" será los intervalos de tiempo. Si hay 128 bacterias en el recipiente, la expresión exponencial del crecimiento de la bacteria en x intervalo de tiempo será:
2ˣ= 128
Una manera de resolver la x es aplicando logaritmos. Entonces, aplicando el logaritmo común de ambos lados. (Cuando la base no está escrita, se trata de la base 10):
log (2ˣ) = log (128)
Aplicando la propiedad de la potencia de los logaritmos:
x* log (2)= log (128)
x= log (128) ÷ log (2)
x= 7
Cada intervalo de tiempo tiene 6 minutos, que es el tiempo en que una bacteria se divide en 2. Entonces, el tiempo que se tarda en obtener 128 bacterias se calcula como:
7 intervalo* 6 minutos= 42 minutos
Si a las 12:15 horas se coloca una bacteria en un recipiente, entonces el horario a la que habrá 128 bacterias se calcula como:
12:15 + 42 minutos= 12:57
A las 12:57 horas habrá 128 bacterias en el recipiente.
The perimeter of the soccer field at Beth's school is 280 meters. Its length is 95 meters.
What is its width?
Answer:
The width is 45 meters
Step-by-step explanation:
P = 2(l + w) =2 · (95 + 45) = 280
Find mADB unit 7 geometry
Answer:
∠ ADB = 59°
Step-by-step explanation:
The vertices of a rectangle are right angles, then
∠ ADB + 31° = 90° ( subtract 31° from both sides )
∠ ADB = 59°